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202*u - 664. Determine s(16).
8
Let h(j) = -j**2 - 73*j + 10923. Give h(74).
45
Let l(b) = -2*b**3 - 124*b**2 - 1013*b + 1223. What is l(-11)?
24
Let j(w) = 4*w**2 + 1384*w - 9688. Determine j(7).
196
Let z(i) = -678910*i - 24440754. Give z(-36).
6
Let n(z) = -8*z**3 + 4*z**2 + 8*z - 2162. Determine n(0).
-2162
Let q(a) = -28*a**2 - 2404*a - 112. Give q(-86).
-456
Let o(t) = 13*t**2 - 822*t + 3139. Give o(59).
-106
Let o(m) = 29*m**2 - 1316*m + 175. Determine o(45).
-320
Let g(h) = 9*h**3 + 40*h**2 - 6604*h - 26480. What is g(-4)?
0
Let r(i) = -2*i**3 + 157*i**2 - 83*i + 359. Calculate r(78).
-31
Let x(t) = -2*t**3 - 77*t**2 + 96*t + 462. Give x(3).
3
Let q(c) = -4447*c - 80430. Determine q(-18).
-384
Let t(q) = -759*q + 155557. What is t(205)?
-38
Let f(j) = -j**2 + 20277*j + 121651. Determine f(-6).
-47
Let r(i) = -140*i**3 - i**2 - 9*i + 6. Calculate r(2).
-1136
Let m(n) = 3856*n + 30586. Calculate m(-8).
-262
Let y(q) = 2*q**2 - 8989*q - 592733. Give y(-65).
2
Let q(g) = -3*g**3 + 2111*g**2 - 34351*g + 671. Determine q(687).
-16
Let m(p) = p**2 - 5073*p + 35541. What is m(7)?
79
Let r(t) = 8*t**2 + 1702*t - 8709. Give r(5).
1
Let n(g) = -14722*g - 117417. Give n(-8).
359
Let q(y) = -y**3 - 121*y**2 - 64*y - 7719. Calculate q(-121).
25
Let q(g) = -7*g**2 - 240*g - 87. Calculate q(-34).
-19
Let p(l) = l**2 - 4733*l + 75398. Calculate p(16).
-74
Let o(v) = 4*v**2 + 11139*v - 33434. Determine o(3).
19
Let v(y) = -134*y + 1933. Give v(16).
-211
Let j(q) = -q**3 - 111*q**2 - 723*q + 545. Determine j(-104).
25
Let x(u) = -17*u**2 - 122*u - 1034. What is x(-14)?
-2658
Let y(v) = 4*v**3 + 155*v**2 - 1819*v + 2581. Give y(8).
-3
Let a(h) = 2*h**2 - 96*h - 2769. What is a(68)?
-49
Let j(h) = 13278*h - 119513. What is j(9)?
-11
Let y(h) = -h**3 - 533*h**2 + 3236*h + 1128. Calculate y(-539).
50
Let y(c) = -31*c**2 + 12077*c - 7198. Calculate y(389).
-196
Let i(l) = -l**2 - 1756*l + 44164. What is i(25)?
-361
Let f(m) = -40*m - 660. What is f(-25)?
340
Let i(h) = 4217*h + 25553. Determine i(-6).
251
Let n(p) = 2*p**3 - 25*p**2 - 129*p + 1421. Give n(7).
-21
Let r(i) = 2*i**3 - 44*i**2 - 10*i - 836. Give r(23).
-8
Let i(o) = -o**3 - 155*o**2 + 10222*o - 5719. Determine i(-205).
21
Let m(p) = 912*p**2 - 25*p - 2. Calculate m(1).
885
Let g(m) = 93*m**2 + 176260*m - 128921. Calculate g(-1896).
7
Let t(h) = -h**2 + 2530*h - 531153. Calculate t(231).
-84
Let x(v) = 8*v**2 + 88*v - 31. What is x(-16)?
609
Let j(u) = -18888*u + 9236232. What is j(489)?
0
Let k(t) = -284804*t + 2563236. What is k(9)?
0
Let g(t) = 4725*t + 14146. What is g(-3)?
-29
Let m(p) = -22*p**3 - 307*p**2 + 18*p + 91. Calculate m(-14).
35
Let p(y) = y**3 + 24*y**2 + 75*y + 1165. Determine p(-23).
-31
Let f(j) = -2*j**3 - 99*j**2 - 68*j - 17087. Calculate f(-52).
-31
Let l(o) = 180*o**2 + 1112*o + 227. Calculate l(-6).
35
Let s(r) = -r**3 + 6*r**2 + 49*r + 49. Calculate s(9).
247
Let u(f) = 28*f**3 - 8898*f**2 - 2049*f + 44839. Calculate u(318).
1
Let r(j) = -17*j**2 - 753*j - 2446. Give r(-37).
2142
Let p(t) = -19*t**3 + 13*t**2 + 17*t - 17. What is p(3)?
-362
Let n(k) = -74150*k + 519047. Calculate n(7).
-3
Let n(j) = j**3 - 269*j**2 + 1337*j - 3979. Determine n(264).
509
Let b(q) = 845*q - 3295. Calculate b(6).
1775
Let n(o) = 254*o + 57447. Calculate n(-196).
7663
Let l(m) = -272840*m - 3001237. Calculate l(-11).
3
Let v(h) = 145*h + 7776. Give v(-56).
-344
Let r(o) = 2*o**2 + 187*o + 3909. Give r(-63).
66
Let b(o) = 9360*o + 439765. Give b(-47).
-155
Let c(q) = 28*q**2 - 11125*q - 79235. Give c(-7).
12
Let s(f) = -917*f + 113622. Give s(124).
-86
Let l(c) = -c**3 - 95*c**2 - 141*c + 6275. Calculate l(-93).
2090
Let n(q) = q**3 - 99*q**2 - 14849*q + 1263. Determine n(181).
-4
Let u(y) = -2*y**2 - 788*y + 59601. Determine u(-459).
-69
Let x(g) = -633*g + 4013. Determine x(7).
-418
Let k(g) = 10147*g + 34749. Determine k(-3).
4308
Let c(b) = -b**3 - 5*b**2 + 507*b + 2926. Determine c(-22).
0
Let m(r) = 378*r**2 + 137*r - 286. Calculate m(2).
1500
Let v(p) = 19481*p + 155877. Calculate v(-8).
29
Let v(w) = -w**3 + 21*w**2 + 55*w - 1691. What is v(21)?
-536
Let s(f) = -f**3 - 246*f**2 + 5319*f + 27. Give s(20).
7
Let j(o) = o**3 + 5560*o**2 + 297330*o + 337. Give j(-54).
13
Let x(t) = -t**3 - 3*t**2 + 2286*t + 15820. What is x(-7)?
14
Let f(k) = -1478*k - 1192. Calculate f(-1).
286
Let h(v) = -4*v**2 - 37*v + 1244. Calculate h(21).
-1297
Let g(x) = -18*x + 4574. Determine g(255).
-16
Let o(x) = x**3 - 193*x**2 - 919*x - 13935. Give o(198).
123
Let k(l) = -2334*l - 1206736. Determine k(-517).
-58
Let d(i) = 396*i + 2792. What is d(-5)?
812
Let u(s) = 2*s**2 - 102412*s + 1433391. Give u(14).
15
Let f(m) = 16729*m + 16713. What is f(-1)?
-16
Let b(g) = 2*g**2 + 127*g - 2874. Calculate b(-92).
2370
Let y(v) = -1747*v + 302182. Give y(173).
-49
Let q(t) = 2014*t - 42042. Give q(21).
252
Let k(q) = -q**2 - 6766*q - 1217550. Give k(-185).
-65
Let o(c) = -8*c**3 + 7*c**2 + 14*c - 19. Calculate o(-2).
45
Let k(j) = j**3 + 23*j**2 + 181*j + 521. What is k(-11)?
-18
Let t(m) = -m**3 - 656*m**2 - 68*m - 44604. Determine t(-656).
4
Let y(k) = 464*k - 51501. Determine y(111).
3
Let r(s) = -s**2 - 245*s - 14731. Determine r(-106).
3
Let b(v) = 3*v**3 - 296*v**2 - 409*v + 761. What is b(100)?
-139
Let p(d) = 6*d**2 - 1930*d + 117924. Determine p(82).
8
Let a(h) = 234*h**2 + 20*h - 30. Give a(1).
224
Let y(u) = -u**3 + 12*u**2 + 264004*u - 2904181. Determine y(11).
-16
Let y(k) = 29003*k + 173946. Calculate y(-6).
-72
Let x(d) = 21777*d + 43559. Give x(-2).
5
Let g(y) = -y**3 - 74*y**2 + 874*y - 1065. Determine g(9).
78
Let n(s) = 85516*s + 1966793. Give n(-23).
-75
Let x(v) = 9*v**2 + 591*v - 1340. Calculate x(-68).
88
Let j(y) = y**3 - 235*y**2 + 4119*y - 3238. Determine j(216).
2
Let t(c) = -2*c**3 - 69*c**2 - 11*c - 1502. Determine t(-35).
108
Let j(y) = -y**3 + 16*y**2 + 41*y - 392. What is j(15)?
448
Let d(q) = -91*q**3 - 16*q**2 - 26*q + 6. What is d(-2)?
722
Let a(k) = -672*k + 16814. Calculate a(25).
14
Let x(s) = 296*s + 7254. Calculate x(-23).
446
Let r(g) = -63*g**2 + 13*g - 109. Give r(-5).
-1749
Let z(l) = l**3 + 91*l**2 + 243*l + 13787. Determine z(-90).
17
Let l(g) = -g**3 - 46*g**2 - 41*g - 6439. What is l(-48)?
137
Let f(x) = -702*x - 6603. Determine f(-9).
-285
Let l(s) = 3*s**2 + 683*s - 4781. Give l(7).
147
Let g(w) = 5*w**3 + 44*w**2 + 37*w + 193. What is g(-13)?
-3837
Let o(x) = -x**3 - 67*x**2 - 107*x + 476. What is o(-65)?
-1019
Let z(f) = -f**3 + f**2 + 3790*f + 18980. Calculate z(-5).
180
Let g(n) = -3625*n + 97929. Calculate g(27).
54
Let y(g) = 38*g**3 + 234*g**2 + 5*g + 6. Determine y(-6).
192
Let j(z) = -2237*z - 53879. Determine j(-24).
-191
Let f(i) = i**2 - 4751*i - 1714564. Calculate f(-337).
92
Let j(u) = -18*u**2 - 740*u + 3204. Determine j(-45).
54
Let j(p) = -9352*p - 3404122. Give j(-364).
6
Let z(l) = 270*l + 5772. Determine z(-15).
1722
Let s(j) = -6*j**2 + 9*j + 397. Determine s(18).
-1385
Let f(m) = -m**3 - 318*m**2 - 8903*m - 1719. Calculate f(-287).
3
Let f(g) = -10*g**2 + 5750*g + 437188. Determine f(-68).
-52
Let l(q) = -3*q**3 - 18*q**2 - 27*q + 431. Calculate l(-5).
491
Let w(q) = -7832*q - 1300035. Calculate w(-166).
77
Let w(c) = 6*c**3 - 283*c - 2311. Determine w(-8).
-3119
Let x(s) = -2*s**2 + 588*s + 71007. What is x(386)?
-17
Let n(b) = 54*b - 3207. Calculate n(46).
-723
Let y(f) = -2420*f + 141083. Give y(58).
723
Let a(k) = 1723591*k - 5170771. Determine a(3).
2
Let d(n) = -24*n**2 - 3454*n - 13480. Calculate d(-4).
-48
Let w(d) = 52*d**3 - 13*d**2 + 37*d - 11. What is w(2)?
427
Let u(i) = 11*i**3 + 114*i**2 - 560*i - 5557. Calculate u(-10).
443
Let r(h) = -h**3 + 47*h**2 + 3573*h + 3071. Calculate r(88).
-9
Let r(w) = -4142*w - 12423. Calculate r(-3).
3
Let d(r) = -r**3 + 29*r**2 + 18*r + 501. Determine d(29).
1023
Let i(r) = r**2 - 1199*r - 87471. What is i(1268)?
21
Let q(t) = -24*t**2 - 193*t + 149. What is q(-8)?
157
Let j(p) = -819*p - 54011. What is j(-65)?
-776
Let u(d) = 3*d**2 - 7088*d - 1679360. Calculate u(-217).
3
Let z(t) = 57*t**3 - 3759*t**2 - 315*t + 7717. Determine z(66).
-5
Let k(q) = -68378*q - 341899. Give k(-5).
-9
Let q(y) = -7*y**2 - 83*y - 99. What is q(-21)?
-1443
Let c(a) = -388*a**2 + 207*a + 2. Determine c(-3).
-411
|
{
"pile_set_name": "DM Mathematics"
}
|
10 = 0. What is the derivative of -2*y - g + 0 + 3*y wrt y?
1
Suppose h - 15 = -2*h. Suppose v + 18 = -h*z, -5*v + 4*z - 2*z = -18. Find the third derivative of s**3 + s**3 - v*s**2 + 0*s**2 + 4*s**2 wrt s.
12
Let h(g) be the first derivative of -2*g**5/5 + 12*g + 7. Differentiate h(v) with respect to v.
-8*v**3
Let d(r) be the third derivative of -5*r**9/126 - r**5/30 - 2*r**4/3 + 11*r**2. What is the third derivative of d(u) wrt u?
-2400*u**3
Let o be (-7)/2*(-4)/2. Suppose o + 23 = 5*i + 3*w, -3*i = 4*w - 29. Differentiate 2*r - 1 - i*r + 2*r wrt r.
1
Let w(z) be the first derivative of z**3 + 4*z**2 + 3. Let q(c) = 2*c**2 + 9*c. Let u(n) = -6*q(n) + 7*w(n). Find the second derivative of u(p) wrt p.
18
Let u be -1*(-3)/6*-6. Let j(z) = z + 5. Let a be j(u). Find the second derivative of 18 - 18 - a*g - 2*g**3 wrt g.
-12*g
Let f(d) be the third derivative of d**7/42 + 11*d**5/20 - 35*d**2. What is the third derivative of f(h) wrt h?
120*h
Let u(v) = -34*v**4 + 6*v**3 - 19*v**2. Let t(z) = -69*z**4 + 13*z**3 - 38*z**2. Let k(c) = 6*t(c) - 13*u(c). Find the third derivative of k(n) wrt n.
672*n
Let o(q) = -10*q**2 + 2*q + 3. Let i(m) = -31*m**2 + 7*m + 10. Let n(t) = -2*i(t) + 7*o(t). What is the derivative of n(g) wrt g?
-16*g
Let l be 2 + (0 - 6/3). Find the second derivative of 0*d + 4*d**2 + l*d - d**2 + 3*d wrt d.
6
Suppose 0 = l - 0*l - 1. What is the first derivative of -3*d**3 - d**2 + 6*d**3 + d**2 + l wrt d?
9*d**2
Let s(x) be the first derivative of x**6/40 + x**3/3 - x**2/2 - 6. Let w(y) be the second derivative of s(y). Find the first derivative of w(t) wrt t.
9*t**2
Let d = -3 + 6. Suppose -m + 8 = d*m. Find the second derivative of m*s - 2*s - 3*s**2 + 3*s wrt s.
-6
Let f(j) be the first derivative of 0*j**4 + 0*j**3 + 0*j - 2*j**2 - 7/6*j**6 - 9 + 0*j**5. What is the second derivative of f(p) wrt p?
-140*p**3
Let f(g) = -g**3 - 5*g**2 + 9. Let h(m) = -m**3 - 3*m**2 + 5. Let u(r) = 6*f(r) - 10*h(r). What is the first derivative of u(a) wrt a?
12*a**2
Suppose -b - 2*b = -9. Let y = -1 + b. What is the second derivative of -p**2 + 3*p**2 - 5*p**2 + 0*p**2 + y*p wrt p?
-6
Suppose -3*d + 68 + 22 = 0. What is the third derivative of -3*o**2 + d - 30 + 2*o**6 wrt o?
240*o**3
Let a(o) be the second derivative of 11*o**5/20 - 21*o**2/2 - 9*o. Differentiate a(z) with respect to z.
33*z**2
Let s(u) = -540*u**4 + 55*u**2 + 540*u - 55. Let z(n) = -20*n**4 + 2*n**2 + 20*n - 2. Let j(q) = 2*s(q) - 55*z(q). What is the second derivative of j(x) wrt x?
240*x**2
Let m = 190 - 190. Let a(q) be the first derivative of m*q**3 + 1/4*q**4 + 0*q**2 + 3*q + 2. Find the first derivative of a(v) wrt v.
3*v**2
Let t(a) = -a**3 + 4*a**2 - 3*a. Let s be t(2). Let c(o) = o - 2. Let y be c(5). What is the third derivative of -4*b**6 + y*b**2 - b**s + 3*b**6 wrt b?
-120*b**3
Let n = 21 - 19. Find the third derivative of 4*r**5 - r**n + 0*r**2 - 3*r**2 wrt r.
240*r**2
Let v(p) be the first derivative of 3*p**4/2 + 13*p**2/2 - 9. Find the second derivative of v(u) wrt u.
36*u
Let z be 0/(-10)*2/(-2). Let y(s) be the first derivative of 0*s + 0*s**2 + z*s**4 - 2 - 2/3*s**3 - 2/5*s**5. What is the third derivative of y(v) wrt v?
-48*v
Differentiate -22 - 6*l**3 + 18*l**3 - 6*l**3 with respect to l.
18*l**2
Let n(t) be the second derivative of -t**10/1260 - t**6/90 - t**3/6 + 3*t. Let b(i) be the second derivative of n(i). Find the third derivative of b(d) wrt d.
-480*d**3
Let x(c) = c**3 + 6*c**2 - c. Let s(i) = i**2 + 8*i + 1. Let t be s(-7). Let m be x(t). Find the third derivative of -3*q**m + 4*q**6 - 2*q**6 + 3*q**2 wrt q.
-120*q**3
Let q(t) be the third derivative of t**7/840 + t**6/240 - t**4/8 + t**2. Let k(a) be the second derivative of q(a). What is the second derivative of k(x) wrt x?
6
Differentiate 4*w**4 + 32 + 4*w**4 - 29*w**4 - 19*w**4 with respect to w.
-160*w**3
Let s(w) = w**3 + 7*w**2 + 4. Let c be s(-7). Find the second derivative of t + 10*t**c - 7*t**4 - 4*t wrt t.
36*t**2
Let c(a) be the second derivative of -a**9/7560 - a**5/30 - 5*a**4/12 - 6*a. Let m(p) be the third derivative of c(p). Differentiate m(d) wrt d.
-8*d**3
Suppose 5*z - 20 = 2*q, -5*z = -6*q + 3*q - 25. What is the third derivative of 3*f**2 + 4*f**2 - z*f**2 - 2*f**4 wrt f?
-48*f
Let j(h) = 25*h - 9. Let u(v) = -25*v + 9. Let a(r) = -4*j(r) - 3*u(r). Let k(y) = 13*y - 4. Let z(m) = 3*a(m) + 5*k(m). Differentiate z(n) wrt n.
-10
Let b(j) be the first derivative of j**7/70 + j**4/8 - j**2 + 3. Let t(k) be the second derivative of b(k). What is the second derivative of t(d) wrt d?
36*d**2
Let d(w) be the second derivative of 2*w**5/5 + w**4 - 11*w. What is the third derivative of d(j) wrt j?
48
Let p(o) be the second derivative of 0 + 0*o**7 + 0*o**2 + 0*o**6 - 1/6*o**4 + 3*o + 0*o**3 + 0*o**5 - 3/56*o**8. What is the third derivative of p(y) wrt y?
-360*y**3
Let o(t) = -8*t**2 + 157*t + 218. Let s(w) = -3*w**2 + 53*w + 73. Let n(m) = -4*o(m) + 11*s(m). Differentiate n(b) with respect to b.
-2*b - 45
Let k(r) = -13*r + 1. Let x(t) = 1. Let c(b) = -k(b) - x(b). Let o(z) = 19*z - 3. Let v(p) = -8*c(p) + 5*o(p). Differentiate v(f) with respect to f.
-9
Let j(w) be the third derivative of -w**10/2520 - w**6/90 + w**3/6 + 2*w**2. Let s(n) be the first derivative of j(n). Find the third derivative of s(r) wrt r.
-240*r**3
What is the third derivative of -4*n**2 - 14*n**2 - 41*n**3 + 31*n**3 wrt n?
-60
Let y(t) be the first derivative of t**4/4 + t**3/3 + 10. Find the third derivative of y(d) wrt d.
6
Find the second derivative of -w + 5*w + 0*w + 3*w**5 - 2*w**5 wrt w.
20*w**3
Let b(l) be the first derivative of -l**2 + 26*l - 27. Differentiate b(c) with respect to c.
-2
Suppose -1 - 5 = -3*a. Differentiate -3 + z**4 + a + 3 - 1 with respect to z.
4*z**3
Let g(k) be the second derivative of -k**5/60 + k**3/2 - 3*k**2/2 + k. Let a(n) be the first derivative of g(n). Differentiate a(j) wrt j.
-2*j
Find the second derivative of -12*s - 41*s - 2*s**4 - 7*s**5 - 6*s**4 + 9*s**5 wrt s.
40*s**3 - 96*s**2
Let i(c) be the first derivative of 0*c**5 + 0*c**6 + 0*c + 2/7*c**7 + 0*c**4 + 2 + 0*c**2 + 1/3*c**3. Find the third derivative of i(v) wrt v.
240*v**3
Let p(w) be the second derivative of 1/30*w**6 - 1/2*w**2 - 2*w + 0*w**3 + 0 + 0*w**5 + 0*w**4. Find the first derivative of p(y) wrt y.
4*y**3
Find the first derivative of -6*j - 2*j - j + 0*j + 2 wrt j.
-9
Let o = 6 - 4. Find the third derivative of -a**2 - 2*a**o - 2*a**5 + a**5 wrt a.
-60*a**2
Let u be 8/(-4)*(-6)/4. Suppose -5*z + 25 = -5*f, u*f + 11 = -5*z + 6*z. Find the first derivative of 0*k**3 + 0 - 2*k**3 + z wrt k.
-6*k**2
Differentiate -2 - 1 - 2 - 2*z**4 - 14*z**4 wrt z.
-64*z**3
Let c(w) be the third derivative of 5*w**9/126 - 29*w**5/60 - 6*w**2. What is the third derivative of c(v) wrt v?
2400*v**3
Let q(g) = 1. Let l = -2 + 6. Let r(t) = 3*t - 6. Let p(w) = w - 2. Let z(i) = 8*p(i) - 3*r(i). Let x(k) = l*q(k) - 3*z(k). Differentiate x(c) wrt c.
3
Let l(w) be the second derivative of -41*w**5/20 + w**4 - 17*w. Find the third derivative of l(g) wrt g.
-246
Let p(b) be the first derivative of -3*b**5/20 + 3*b**2/2 + 3*b - 2. Let t(r) be the first derivative of p(r). What is the derivative of t(d) wrt d?
-9*d**2
Suppose -2*u + 5*u - 9 = 0. What is the first derivative of -u + 4*w - 4*w + 3*w wrt w?
3
Let l(z) = 4*z**4 - 3*z**3 + 6*z + 3. Let m(f) = f**4 + f**3 - f - 1. Let k(w) = l(w) + 3*m(w). What is the second derivative of k(n) wrt n?
84*n**2
Let b(a) be the second derivative of 0 + 0*a**3 + 1/6*a**6 - 3/2*a**2 - 5*a + 0*a**5 + 0*a**4. What is the first derivative of b(x) wrt x?
20*x**3
Differentiate 4 - x**3 - 4*x**3 + 0*x**3 + 2 wrt x.
-15*x**2
Let b(s) = s**3 - 2*s**2 + 3. Let p be b(3). Let j = p - 7. Find the second derivative of -2*h + 11*h**2 - 11*h**2 - 2*h**j wrt h.
-40*h**3
Let y(d) be the third derivative of -4*d**7/35 - 17*d**3/3 - d**2. Differentiate y(x) wrt x.
-96*x**3
Let v(m) be the third derivative of 2*m**5/5 - m**4/12 - 8*m**3 + 21*m**2 + m. Find the first derivative of v(t) wrt t.
48*t - 2
Differentiate 2 + 5*n + 19 + 11*n**4 - 7*n**4 wrt n.
16*n**3 + 5
Let y(r) = 2*r**2 - 5. Let g(j) = 1. Let t(q) = q + 5. Let m be t(-6). Let i be ((-2)/(-1) - 5) + m. Let o(v) = i*g(v) - y(v). Differentiate o(
|
{
"pile_set_name": "DM Mathematics"
}
|
y) = y**3 + 9*y**2 + 10*y + 15. Determine s(-8).
-1
Let j(i) = 34*i**2 - 202*i - 7. What is j(6)?
5
Let f(o) = -o**2 - 2*o + 15. Give f(6).
-33
Let b(j) = -j**3 - 12*j**2 + 13. What is b(-12)?
13
Let k(v) = v**3 + 6*v**2 + 3*v + 9. Give k(-6).
-9
Let u(b) = -17*b**3 - b**2 - 3*b + 5. Calculate u(2).
-141
Let w(a) = -a**3 + 6*a**2 + a + 3. Calculate w(4).
39
Let w(v) = v**3 - 5*v**2 - 25*v + 14. Determine w(8).
6
Let m(u) = -2*u**2 - 7*u + 11. Give m(-10).
-119
Let d(i) = -34*i**2 + 168*i + 5. What is d(5)?
-5
Let c(g) = g**3 - 10*g**2 - 3*g - 3. Determine c(10).
-33
Let s(g) = g**2 - 11*g + 10. Give s(8).
-14
Let x(h) = -h**2 + 23*h + 71. Calculate x(26).
-7
Let o(h) = -h**3 + 2*h**2 + 3*h + 1. What is o(-1)?
1
Let o(x) = -4*x - 222. Give o(-57).
6
Let a(w) = 2*w**3 + 4*w**2 - 5*w - 1. Give a(-3).
-4
Let f(y) = -16*y + 13. What is f(1)?
-3
Let t(y) = y**2 + 18*y + 2. Determine t(-16).
-30
Let r(g) = -2*g - 44. Give r(-22).
0
Let j(r) = 5*r**3 - 41*r**2 + 11*r - 17. Give j(8).
7
Let y(x) = -x**3 - 11*x**2 - 3. Determine y(-11).
-3
Let l(a) = -a**3 - 8*a**2 - 7*a + 5. Determine l(-6).
-25
Let x(r) = -r**3 + 4*r**2 + r - 36. Determine x(4).
-32
Let u(m) = m**2 + 4*m - 7. What is u(2)?
5
Let b(l) = -28*l + 8. Give b(-5).
148
Let x(n) = n**3 - 10*n**2 - 11*n + 4. What is x(11)?
4
Let x(y) = 37*y. Calculate x(1).
37
Let u(o) = 9*o - 92. What is u(10)?
-2
Let x(l) = 2*l**2 - 2*l - 4. Calculate x(-3).
20
Let h(o) = -o**3 + 8*o**2 - 10*o + 9. Give h(7).
-12
Let c(g) = 2*g + 15. Determine c(-4).
7
Let d(c) = 29*c**2 - 2*c - 1. Calculate d(-1).
30
Let o(d) = 3*d**3 + 5*d**2 + 4*d + 3. What is o(-3)?
-45
Let d(a) = a**3 - 11*a**2 - 13*a + 9. What is d(12)?
-3
Let z(g) = g**2 - 7*g + 5. Determine z(5).
-5
Let k(d) = d**3 - 5*d**2 - d + 4. Determine k(4).
-16
Let n(a) = -a**3 - 19*a**2 - 5. What is n(-19)?
-5
Let v(p) = p**3 - 5*p**2 - 2*p - 3. Determine v(4).
-27
Let b(a) = -41*a + 323. Calculate b(8).
-5
Let i(t) = -t**2 - 4*t - 8. Give i(-4).
-8
Let m(q) = 8*q - 12. Determine m(2).
4
Let x(d) = d**3 - 3*d**2 - 3*d. Calculate x(4).
4
Let o(f) = 6*f + 12. What is o(-14)?
-72
Let y(a) = 2*a + 6. Calculate y(-10).
-14
Let j(f) = f**3 + 7*f**2 + f + 4. Determine j(-7).
-3
Let s(i) = -6*i - 5. Calculate s(1).
-11
Let d(l) = -l**2 - 5*l - 6. Calculate d(-6).
-12
Let q(c) = -c + 85. Give q(-12).
97
Let b(r) = r**3 + r**2 + 3*r + 8. Determine b(-2).
-2
Let c(v) = 43*v + 171. Give c(-4).
-1
Let c(k) = -k**3 - 5*k**2 + 5*k + 1. Determine c(-6).
7
Let c(m) = 2*m**2 + 6*m + 7. Determine c(-3).
7
Let j(r) = 4*r**3 + 2*r + 1. Give j(-1).
-5
Let i(x) = -5*x - 3. What is i(-3)?
12
Let u(t) = t**3 - 6*t**2 + 2*t - 6. What is u(3)?
-27
Let j(t) = -4*t**2 - 8*t - 7. Calculate j(-7).
-147
Let b(w) = -83*w + 7. Calculate b(-2).
173
Let z(u) = u**2 + 9*u - 6. Determine z(-10).
4
Let h(k) = k**3 - 7*k**2 + 6*k - 5. Calculate h(3).
-23
Let x(v) = 5*v - 54. Give x(10).
-4
Let n(k) = 5*k**2 - 15*k + 7. Determine n(3).
7
Let o(j) = -2*j**2 + 53*j - 72. Calculate o(25).
3
Let s(j) = 7*j - 342. What is s(48)?
-6
Let j(g) = -g**3 + 4*g**2 + 9*g + 8. Determine j(6).
-10
Let n(w) = -75*w - 308. Calculate n(-4).
-8
Let c(z) = 15*z - 54. What is c(3)?
-9
Let j(i) = -2*i**3 - 2*i**2 - 5*i + 8. Calculate j(1).
-1
Let c(f) = f**3 + f**2 - 8*f + 2. What is c(2)?
-2
Let i(p) = -p**3 - 3*p**2 + 3*p. Calculate i(-5).
35
Let c(n) = n**2 - 19*n + 44. What is c(17)?
10
Let r(d) = -9*d + 4. Determine r(-5).
49
Let q(a) = -a**2 + 12*a + 7. Determine q(13).
-6
Let p(u) = -u**3 - 2*u**2 + 3*u - 4. Calculate p(-3).
-4
Let p(v) = -4*v + 117. Calculate p(33).
-15
Let p(v) = 10*v + 9. What is p(-2)?
-11
Let l(o) = 2*o**3 + 6*o**2 + o - 11. Calculate l(-2).
-5
Let i(u) = 6*u**2 - 2. What is i(-1)?
4
Let w(u) = -3*u**2 - 6*u + 11. What is w(-5)?
-34
Let u(c) = -c**3 - 4*c**2 - 3*c - 4. Determine u(-3).
-4
Let b(q) = -q**3 + 4*q**2 - 2*q. Determine b(4).
-8
Let i(o) = o**2 - 4*o - 3. Determine i(4).
-3
Let a(d) = d**2 + 8*d - 15. Give a(-10).
5
Let k(m) = -m**3 - 5*m**2 + 9*m - 29. Give k(-7).
6
Let t(y) = -y**2 + 19*y - 2. Determine t(19).
-2
Let y(o) = 4*o**2 - 32*o - 8. Give y(8).
-8
Let j(i) = -52*i**3 + 1. What is j(1)?
-51
Let d(p) = 6*p + 47. What is d(-6)?
11
Let k(o) = -o + 1. Calculate k(1).
0
Let t(k) = 5*k**2 - 3*k - 14. What is t(-2)?
12
Let x(h) = -2*h**3 - 16*h**2 - 3*h - 12. What is x(-8)?
12
Let k(d) = d**2 + 11*d + 7. What is k(-12)?
19
Let s(b) = -b**3 + b**2 + 2*b - 6. Determine s(4).
-46
Let m(p) = -5*p - 17. What is m(-11)?
38
Let j(t) = -t - 5. What is j(2)?
-7
Let a(d) = -d**2 - 9*d - 6. Determine a(-8).
2
Let j(u) = -5*u - 9. Give j(-10).
41
Let p(n) = -6*n + 7. Determine p(3).
-11
Let j(n) = n**3 + 9*n**2 + 8*n - 4. What is j(-8)?
-4
Let g(k) = k**3 + k**2 + k + 19. Determine g(0).
19
Let w(z) = 4*z**2 + 3*z - 2. What is w(2)?
20
Let p(q) = q**2 - 6*q + 1. Calculate p(4).
-7
Let p(t) = -2*t**3 - 2*t**2 - t + 2. Give p(-3).
41
Let v(x) = 9*x + 4. Calculate v(-3).
-23
Let n(t) = -16*t**2. Calculate n(1).
-16
Let q(j) = j**3 - 11*j**2 - 18*j + 62. Determine q(12).
-10
Let o(n) = -n**2 - 6*n - 7. Give o(-4).
1
Let c(s) = -7*s + 76. Calculate c(10).
6
Let a(k) = 6*k**3 + k**2 - 3*k + 1. Determine a(1).
5
Let t(x) = 24*x**2 - 2*x + 1. Give t(1).
23
Let u(a) = -137*a + 1367. Give u(10).
-3
Let r(h) = h**3 + h**2 + h + 37. What is r(0)?
37
Let k(t) = t**3. Give k(1).
1
Let s(m) = -4*m**3 + 7*m**2 - 2*m. Give s(4).
-152
Let u(x) = -2*x**2 + 15*x - 2. Give u(7).
5
Let n(y) = -y**2 + 9*y - 15. Give n(6).
3
Let p(t) = t**3 - 23*t**2 - 48*t - 57. Give p(25).
-7
Let x(t) = -t**3 + 11*t**2 - 7*t - 8. Calculate x(10).
22
Let y(b) = b**3 + 11*b**2 - 1. Give y(-11).
-1
Let d(z) = -27*z + 2. What is d(-1)?
29
Let x(p) = -p - 2. Calculate x(-8).
6
Let m(t) = -15*t**2 + 496*t - 32. Determine m(33).
1
Let y(r) = -r**2 - 3*r + 1. What is y(5)?
-39
Let x(k) = 36*k + 61. Calculate x(-2).
-11
Let b(u) = -u**3 + 6*u**2 + 5*u + 6. Give b(6).
36
Let l(t) = t**2 + 1. Give l(-2).
5
Let j(k) = k**3 + 4*k**2 - 2*k + 8. Give j(-4).
16
Let j(r) = 17*r - 134. What is j(8)?
2
Let s(p) = -p**2 + 5*p - 21. Give s(0).
-21
Let h(y) = 2*y**2 - 26*y + 27. Calculate h(12).
3
Let c(l) = -l**2 - 32*l - 41. What is c(-31)?
-10
Let j(w) = 2*w**2 + 14*w + 3. Determine j(-10).
63
Let m(l) = l**3 + 8*l**2 - 6*l + 3. Determine m(-9).
-24
Let u(b) = 107*b**2 + 2*b + 2. Determine u(-1).
107
Let j(n) = -n**3 - 2*n**2 + 3*n + 1. Give j(-3).
1
Let y(h) = h**3 - 18*h**2 + 33*h - 23. Calculate y(16).
-7
Let o(g) = -g**3 - 2*g**2 + 3*g. Calculate o(-3).
0
Let y(o) = -10*o**3 + o**2 - 3*o + 2. Calculate y(1).
-10
Let v(p) = 2*p**2 + 28*p - 4. Give v(-14).
-4
Let i(v) = 2*v - 69. Calculate i(0).
-69
Let v(k) = -k**3 - 5*k**2 - k + 2. Determine v(-4).
-10
Let b(s) = -s**3 - s + 29. Give b(0).
29
Let z(t) = t**3 - 11*t**2 - 28*t + 27. Determine z(13).
1
Let d(j) = -7*j**2 - 3*j + 1. Calculate d(3).
-71
Let j(y) = -y + 15. Give j(16).
-1
Let l(b) = b**2 + 4*b + 3. What is l(-2)?
-1
Let o(p) = 2*p + 8. What is o(-7)?
-6
Let l(v) = v + 3. Give l(2).
5
Let f(o) = o**2 - 9*o - 40. What is f(12)?
-4
Let j(v) = -7*v**3 + 9*v - 1. What is j(3)?
-163
Let i(u) = -3*u + 66. Give i(24).
-6
Let s(c) = 40*c + 465. Calculate s(-11).
25
Let w(v) = -v**3 + 7*v**2 - 8*v + 6. Give w(6).
-6
Let r(o) = -4*o. Give r(3).
-12
Let a(j) = 11*j**3 + 2*j**2 + j + 1. Calculate a(-1).
-9
Let i(r) = r**3 + 3*r**2 - 2*r + 3. Give i(2).
19
Let v(k) = -k**2 + 13*k + 12. What is v(14)?
-2
Let f(i) = -i**3 + 20*i**2 + 21*i. What is f(21)?
0
Let u(d) = -d**3 - 4*d**2 + 9*d + 5. Give u(-6).
23
Let h(t) = -5*t - 164. Calculate h(-34).
6
Let l(y) = 28*y + 200. Determine l(-7).
4
Let z(v) = -6*v + 17. Calculate z(3).
-1
Let f(r) = 2*r**2 + r + 2. Calculate f(0).
2
Let y(c) = 117*c**3 - 3*c + 2. What is y(1)?
116
Let i(m) = -3*m. Determine i(4).
-12
Let x(m) = 2*m**2 + 111*m + 49. Determine x(-55).
-6
Let s(i) = 5*i + 63. Calculate s(-9).
18
Let m(d) = d**2 - d + 1. What is m(0)?
1
Let o(a) = 24*a + 10. Determine o(-1).
-14
Let n(j) = -j**2 - 7*j - 4. Give n(-5).
6
Let f(r) = -r**3 + 10*r**2 - 9*r + 1. Calculate f(9).
1
Let i(q) = 2*q**3 + 32*q**2 + 109*q - 10. Calculate i(-11).
1
Let l(c) = c**2 + c - 5. Determine l(-4).
7
Let m(x) = -x + 7. Give m(4).
3
Let d(s) = s**2 - 14*s - 14
|
{
"pile_set_name": "DM Mathematics"
}
|
spect to t.
4*t**3
Let b(g) be the third derivative of g**5/60 - g**4/2 - 15*g**2. What is the second derivative of b(k) wrt k?
2
Let l(v) = 7*v**3 + 3*v**2 - 5*v. Let j(m) = 8*m**3 + 4*m**2 - 6*m. Let w(b) = -5*j(b) + 6*l(b). Find the third derivative of w(f) wrt f.
12
Let z(d) be the second derivative of d**6/30 + d**4/24 + 3*d**2/2 - 2*d. Let u(r) be the first derivative of z(r). Find the second derivative of u(f) wrt f.
24*f
Let p(j) = -j**4 + j**2 - j - 1. Let s(h) = 26*h**5 + 2*h**4 - 2*h**2 - 23*h + 2. Let q(z) = 2*p(z) + s(z). Find the second derivative of q(i) wrt i.
520*i**3
Suppose -3*s + 3 = -6. Suppose -2 = -s*j + 7. Differentiate -1 + 3*r**3 - 1 + j - r**3 wrt r.
6*r**2
Suppose -h - 5*k - 8 - 14 = 0, -5*h = 3*k. What is the second derivative of -2*c - 3*c**5 - h*c + 0*c**5 + c wrt c?
-60*c**3
Let c = -35 - -35. Let b(l) be the first derivative of -2/3*l**3 + 1 - 3/5*l**5 + 0*l**4 + c*l + 0*l**2. Find the third derivative of b(p) wrt p.
-72*p
Let s be (-20)/(-5)*2/4. Find the third derivative of 4*x**2 + 0*x**s - 11*x**3 + 7*x**3 wrt x.
-24
Let q(a) = -23*a**3 + 3*a**2 + 11*a + 4. Let u(l) = -l**3 - l**2 - 1. Let t(m) = q(m) + 4*u(m). Find the third derivative of t(n) wrt n.
-162
Let c(m) be the first derivative of 0*m**5 - 1/2*m**6 + 0*m**2 - 5/3*m**3 + 0*m**4 + 0*m + 4. Find the third derivative of c(v) wrt v.
-180*v**2
Let s be (2/8)/((-2)/(-8)). Let v(d) = -1. Let a(b) = -3*b**2 + 4. Let c(i) = s*a(i) + 3*v(i). Differentiate c(x) wrt x.
-6*x
Let p(n) = 6*n**2 - 4*n**2 + 0*n**2 + 1 + 5*n. Let h be 456/(-88) + 4/22. Let b(j) = -j**2 - 2*j. Let l(t) = h*b(t) - 2*p(t). Differentiate l(a) wrt a.
2*a
Suppose 0 = 2*w + 8, 2*y + 3*w + 9 = -y. Let s be -6*(6/9 - y). Find the third derivative of -8 + 8 + s*r**4 - 2*r**2 wrt r.
48*r
Let c(s) = -4*s - 3 + 0 + 6*s - s. Let l be c(5). Find the second derivative of f**4 - l*f - f**4 + 3*f**4 wrt f.
36*f**2
Let f(a) be the first derivative of -4*a**6/3 - 4*a**3/3 + 3. What is the third derivative of f(d) wrt d?
-480*d**2
Let d(x) be the first derivative of 9*x**5/5 - 8*x**2 - 12. Find the second derivative of d(v) wrt v.
108*v**2
Let v(t) = 5*t**3 + t - 1. Let h be v(1). Let k = 2 + 0. What is the third derivative of 2*a**2 - 2*a**h + 4*a**5 + 0*a**k wrt a?
120*a**2
Let y(i) be the third derivative of i**6/60 + i**3/6 - 2*i**2. Differentiate y(w) wrt w.
6*w**2
Let k(q) be the third derivative of 0*q + 0*q**3 + 3/40*q**6 - 9*q**2 + 1/12*q**5 + 0*q**4 + 0. Find the third derivative of k(n) wrt n.
54
Let d be 3/(-15) - 2/(-10). Find the second derivative of -40*v - 3*v**3 + d*v**3 + 45*v wrt v.
-18*v
Suppose 7 = 3*s - 4*s. Let a be (-12)/s + 2/7. Find the third derivative of a*f**2 - f**6 - 2*f**6 - 2*f**2 - 3*f**2 wrt f.
-360*f**3
Let x(j) be the second derivative of -j**9/3024 + j**6/120 - j**3/6 + j. Let v(n) be the second derivative of x(n). Find the third derivative of v(f) wrt f.
-60*f**2
Let b(w) = -3*w**2 + 2*w. Let a(f) be the first derivative of 4*f**3/3 - 3*f**2/2 + f + 4. Let d(n) = 2*a(n) + 3*b(n). Find the first derivative of d(g) wrt g.
-2*g
Let p(y) = 6*y**4 + 2*y**3 - 2*y - 6. Let q(i) = 6 - 2 + i**4 + i**3 - 5 - i. Let z(m) = p(m) - 2*q(m). Find the first derivative of z(o) wrt o.
16*o**3
Let o(a) be the second derivative of -47*a**4/12 - 9*a**2 + a. Find the first derivative of o(u) wrt u.
-94*u
Let v(d) = -61*d**5 - 11*d**3 - 45*d. Let y(p) = -31*p**5 - 6*p**3 - 23*p. Let z(r) = -6*v(r) + 11*y(r). What is the second derivative of z(l) wrt l?
500*l**3
Let x(l) = l**2 - 3*l + 4. Let s be x(3). Differentiate 0*c**3 + c**3 - 3 + 4 + s*c**3 with respect to c.
15*c**2
Let p(b) = -2*b**3 + 3*b**2 + 4. Let c = 13 + -16. Let z(w) = -2*w**3 + 3*w**2 + 3. Let d(k) = c*p(k) + 4*z(k). What is the third derivative of d(j) wrt j?
-12
What is the third derivative of -17*a**5 - 2*a**2 + 2*a + 20*a**2 - 2*a wrt a?
-1020*a**2
Let u(k) be the third derivative of -13*k**5/60 + 13*k**3/6 + 6*k**2. Differentiate u(x) wrt x.
-26*x
Let q(t) be the first derivative of t**4/24 + t**3/3 + t**2 - 3. Let k(s) be the second derivative of q(s). What is the derivative of k(x) wrt x?
1
Let p(b) = -2*b**3 + 2*b**2 - 1. Let h be p(-1). What is the third derivative of -u**2 + h*u**2 + 3*u**6 - u**2 wrt u?
360*u**3
Find the third derivative of 75*c**5 - 14*c**2 - 25*c**5 + 12*c**5 wrt c.
3720*c**2
Let u(h) = -59*h**2 - 83. Let m(r) = -29*r**2 - 42. Let s(f) = -11*m(f) + 6*u(f). What is the derivative of s(q) wrt q?
-70*q
Suppose o = 2*s - 4, 3*s - 5*o - 9 = -2*o. What is the first derivative of 8*a**3 - 5*a**3 + 0 - s wrt a?
9*a**2
Let b(h) = -h + 5. Let z be b(0). What is the second derivative of 5*s + 2*s**3 - z*s - 3*s wrt s?
12*s
Let h(u) be the third derivative of -u**9/1008 + u**6/60 + u**3/2 - 4*u**2. Let x(g) be the first derivative of h(g). Find the third derivative of x(s) wrt s.
-180*s**2
Let g(r) be the third derivative of 0 + 0*r**4 + 2*r**2 + 0*r + 1/30*r**5 - 1/2*r**3. What is the first derivative of g(j) wrt j?
4*j
Let r(l) be the third derivative of 11*l**7/42 + l**4/8 - l**3/2 - 3*l**2 - 5. What is the second derivative of r(q) wrt q?
660*q**2
Let m = -2 + 6. Find the second derivative of 4*n + 0*n + 4*n**4 - 6*n**m wrt n.
-24*n**2
Let t(f) = -f**4 - f**3 + f**2 + 1. Let p(c) = 18*c**4 + c**3 - c**2 + 13*c - 1. Let g(l) = -p(l) - t(l). Find the second derivative of g(r) wrt r.
-204*r**2
Suppose -4*m = -22 - 6. What is the third derivative of -3*u**5 + m*u**5 - 4*u**2 - u**2 wrt u?
240*u**2
Let c(w) = w + 4 + 0 + 3. Let b be c(-4). Find the second derivative of -3 - k**b + 3 - k wrt k.
-6*k
Let j(p) = 6*p**2 - 5*p + 5. Let b(o) = -7*o**2 + 6*o - 4. Let t(s) = 5*b(s) + 6*j(s). Differentiate t(i) with respect to i.
2*i
Let j be -18*(15/9 + -2). Differentiate j*l**4 - 9*l**4 + 4 - l**4 + 0 wrt l.
-16*l**3
Suppose 3 = 2*s - s. Let h = s - 1. Find the third derivative of -3*a**h + a**6 - a**2 + 2*a**2 wrt a.
120*a**3
Let s(v) be the third derivative of 0*v**6 + 0*v + 2*v**2 + 1/105*v**7 + 0*v**4 + 0*v**5 + 0 + 1/3*v**3. What is the derivative of s(k) wrt k?
8*k**3
Suppose -3*p + 2*p + 8 = 0. Suppose 2*n - 6 = -2*u, 5*u = p*n - 3*n + 15. Find the third derivative of n*m**3 - m**2 + m**5 + 0*m**3 wrt m.
60*m**2
Suppose 0 = -3*w + 5*k + 49 - 11, -8 = 2*k. Find the first derivative of -b**4 + w + b**4 - 2*b**4 wrt b.
-8*b**3
Let u(t) be the first derivative of 13*t**2/2 + 16*t + 5. What is the derivative of u(p) wrt p?
13
Let f(c) be the third derivative of 0*c + 0*c**3 + 1/60*c**6 + 0*c**5 - 9*c**2 - 1/3*c**4 + 0. Find the second derivative of f(i) wrt i.
12*i
Let h be 10/20 + (-9)/(-2). What is the third derivative of -5*p**3 + h*p**3 + 3*p**6 + 2*p**2 wrt p?
360*p**3
Let l(w) be the second derivative of 5*w**3/3 - 7*w**2/2 + 16*w. Differentiate l(n) with respect to n.
10
Let b(y) be the first derivative of 4*y**5/5 + 2*y + 9. What is the derivative of b(o) wrt o?
16*o**3
What is the derivative of 2*d**2 + 4 + 15 + 7 - 3 wrt d?
4*d
Let s(h) be the third derivative of -2*h**7/21 - 10*h**3/3 + 10*h**2. Differentiate s(i) with respect to i.
-80*i**3
Let i be 2/(-3)*3*-1. Find the third derivative of 4*v**2 - i*v**2 - v**5 + 4*v**2 wrt v.
-60*v**2
Let u(y) be the second derivative of 0 + 1/10*y**5 + 0*y**3 + 1/12*y**4 + 5*y + 0*y**2. Find the third derivative of u(g) wrt g.
12
Let a(u) = -u + 2. Let d(i) = -2*i + 2*i + 0*i - i. Let l(p) = -a(p) + 5*d(p). What is the derivative of l(q) wrt q?
-4
Let k(j) = 4 + 1 - 24*j + 19*j + j**2. Let g be k(5). Find the third derivative of -3*z**6 - 4*z**g + z**6 + 2*z**2 + 4*z**5 wrt z.
-240*z**3
Let m(c) = 6*c**4 - 3*c - 1. Let d(b) = -b**4 - b - 1. Let g be (-1)/(0 - -4)*4. Let a(l) = g*m(l) + d(l). What is the second derivative of a(h) wrt h?
-84*h**2
What is the first derivative of -3 - 6*w**3 + 5*w**3 + 0*w**3 wrt w?
-3*w**2
Let x be ((-21)/9 - -2)*-6. Suppose 2*b = x*y + 2, 2*b - 1 - 4 = -y. Find the third derivative of n**2 + n**2 + b*n**2 + 2*n**3 wrt n.
12
Let h be (-2)/((-4)/(-22))*-1. Suppose 0 = 4*x - 5 - 3. Differentiate 11*q**2 - h*q**x - 1 + 3*q**4 wrt q.
12*q**3
Find the second derivative of 12*n**3 - 28*n + 0*n**3 + 20*n**3 wrt n.
192*n
Let c(k) be the second derivative of 9*k**5/20 + k**3/3 + 3*k. What is the second derivative of c(h) wrt h?
54*h
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*d + 1. Let l be u(-2). Calculate the greatest common factor of l and 3.
3
Let j be -28*(-1)/((-20)/(-55)). What is the greatest common factor of j and 7?
7
Let s(b) = b**3 + 8*b**2 + 5*b - 6. Let g be s(-7). Calculate the greatest common factor of g and 40.
8
Let p be -4 + 1 + 32/(4 + 4). Let f(t) = -t**3 - 10*t**2 - t - 1. Let r be f(-10). Calculate the highest common divisor of r and p.
1
Suppose 14*u = 4*u + 560. Let m = 5 + 2. Calculate the greatest common factor of u and m.
7
Let i(f) = -f**3 - 6*f**2 + 4*f + 3. Let v be i(-7). Let h = 7 + 5. Calculate the greatest common divisor of h and v.
12
Let j = 41 + -29. Calculate the greatest common factor of j and 60.
12
Suppose -g = 2*z, -g - 2*g + 15 = z. What is the highest common divisor of g and 6?
6
Let j = 3 - 18. Let b be (42/8)/(j/(-40)). What is the highest common factor of b and 42?
14
Let d(m) be the second derivative of -2*m**3/3 - 2*m**2 + 4*m. Let j be d(-4). What is the highest common factor of 48 and j?
12
Let b = -82 + 237. What is the highest common factor of 62 and b?
31
Let o = 217 - 151. What is the highest common divisor of o and 44?
22
Suppose 4*i - 104 = -8. Let l = -14 + i. Calculate the greatest common divisor of l and 90.
10
Let x(y) = -y**3 + 2*y**2 + 5*y - 3. Let q be x(3). Calculate the highest common divisor of q and 9.
3
Let w = -2 + 7. Suppose 3*c - 60 = w*c. Let t be (c/(-1) - 0) + 0. What is the highest common divisor of t and 12?
6
Let c = 3 - -1. Let h be (-3)/(-4)*(116 + c). Suppose 3*o - 2*d - 43 = 0, -o + 5*d - 3 = -13. Calculate the highest common divisor of o and h.
15
Let t be 3*3/1*2. Suppose -r - 18 = -z, -2*z + 1 = 8*r - 3*r. Let v = 22 - z. What is the highest common factor of t and v?
9
Let f(v) = -v**2 + 2*v + 2 + 4*v + 0. Let p be f(6). Suppose b - p*b + 18 = 0. What is the highest common divisor of b and 45?
9
Let c = 24 - 14. Calculate the greatest common divisor of 50 and c.
10
Let u = 24 - 13. Let t = u - 6. Suppose t*c - 41 = -1. Calculate the highest common divisor of 40 and c.
8
Suppose -m + 7 = 4*y, -23 = -0*m - 2*m - 5*y. Calculate the highest common factor of m and 209.
19
Let z = 10 - -5. What is the greatest common divisor of 15 and z?
15
Suppose 5*y + 15 = 150. Let z be (-9)/(-6) - 6/(-4). Let a be 8 - (-2 - (2 - z)). Calculate the greatest common divisor of a and y.
9
Suppose 0 = 2*f - u - 34 + 3, 3*f - 34 = -u. Suppose -9*c - 65 = -14*c. Calculate the greatest common divisor of f and c.
13
Let x(y) = y**3 + 3*y**2 + 2*y. Let w be x(-2). Suppose w*r - 9 = -3*r. Calculate the highest common factor of r and 24.
3
Let a be (-2)/(-3) - (-1)/3. Suppose i - a = -0. Let b = 0 + i. Calculate the greatest common divisor of 5 and b.
1
Let m be (-2)/2 - (-5 + 2). Suppose -m = -4*i + 74. Calculate the highest common divisor of 38 and i.
19
Let u be 4/(-14) - (-102)/14. Let h be u/(-2)*-4*1. Let n(q) = -18*q + 4. Let f be n(-6). What is the greatest common divisor of h and f?
14
Suppose 2*u = -0*u + 288. Calculate the highest common factor of 9 and u.
9
Suppose -2*h + 0*h = 2*d, 4*d + 4 = 0. Calculate the greatest common divisor of 5 and h.
1
Suppose 3*d - 224 = d. Calculate the greatest common divisor of 16 and d.
16
Suppose -34*k - 24 = -36*k. Let u = -9 + 17. What is the highest common factor of k and u?
4
Let i = 147 + -129. Suppose 140 = 3*o - 292. Calculate the greatest common factor of i and o.
18
Suppose -c = -4*w - 1, 4*c - 7 = -4*w - 3. Let j = 18 - 9. Calculate the greatest common divisor of c and j.
1
Let o be -1*(-3 + (0 - 6)). Calculate the highest common factor of o and 9.
9
Let b = -115 + 225. Calculate the greatest common divisor of 10 and b.
10
Let t(w) = 4 - 5*w - 6 + 0*w**2 + 0*w**2 + 3*w**2. Let o be t(4). Calculate the highest common factor of o and 26.
26
Suppose 48 = 3*b + 18. Suppose 58 = g - 50. Let l be g + 1 + 2/2. What is the greatest common factor of b and l?
10
Suppose -73 = -5*s - 13. Suppose 6*n - 3*n - s = 0. Let f(j) = j**3 - 2*j**2 + 5*j - 4. Let x be f(3). What is the highest common factor of x and n?
4
Let d = 35 + 119. Suppose d + 6 = 4*q. Suppose -q = -5*v - 5. Calculate the greatest common factor of 49 and v.
7
Suppose 0*v - 5*y - 45 = -5*v, 0 = -5*v - 4*y + 18. Let k = 0 + 0. Suppose r + k*r - 3 = 0. What is the highest common factor of r and v?
3
Let k(m) = -5*m - 15. Let j(n) = -n - 4. Let h(d) = -9*j(d) + 2*k(d). Let t be h(-8). Suppose 4 = 4*b - 24. Calculate the highest common divisor of b and t.
7
Suppose 8*r = -3*o + 4*r - 61, -3*o - 5*r = 56. Suppose -3*i = -i - 4. Let k be ((-4)/6)/(i/o). What is the highest common divisor of k and 18?
9
Suppose c - 4 = -c. Let z be (-3 + 1)/c - -18. Calculate the greatest common divisor of 17 and z.
17
Suppose -5*h - 9 + 29 = 5*r, 0 = -4*h + 4*r + 16. Let w be -4 + (-3 - -4) + 23. What is the greatest common factor of h and w?
4
Let q be (-2 - -43 - 1) + 3. Let s = -3 + 9. Suppose -2*n = s*y - y - q, 5*y - 49 = 4*n. What is the highest common divisor of y and 1?
1
Let h(z) = -z**2 - 3*z + 2. Let f be h(-3). Suppose f*m - 660 = -2*m. Let k = 30 - 15. Calculate the highest common divisor of m and k.
15
Let y be 1/2*(-204)/2. Let c be 0 - y - (-2 + -1). Calculate the greatest common factor of 18 and c.
18
Let f(h) = 2*h. Let x be f(5). Let d be 2/(-2 - x/(-4)). Suppose -3*y = -b + 6*b - 449, d*b - 302 = -2*y. Calculate the highest common divisor of 13 and y.
13
Suppose -4*u + 9*u = 30. Calculate the greatest common factor of 20 and u.
2
Let h(s) = 2*s**2 + 4*s + 3. Let f be h(-2). Let q = 24 - 19. Suppose f + q = t. Calculate the greatest common factor of 24 and t.
8
Suppose 5 = -2*j + 25. Suppose 4*d = -2*v + 124, -3*d + 96 = -12*v + 15*v. Calculate the greatest common factor of j and d.
10
Suppose 0 = 3*q + 4*z - 135, 0 = q - 2*q + z + 45. Calculate the greatest common divisor of 60 and q.
15
Let i be ((-1)/4)/(1/(-52)). Calculate the greatest common factor of i and 52.
13
Let d = -6 + 11. Suppose -i + 0 + 1 = -n, -n - 1 = -d*i. Let o = 6 + i. What is the greatest common divisor of o and 9?
3
Suppose 2*o - 78 = -u, -6 = -o - 2*o. Suppose 5*l - u = 196. Let c(g) = 3*g - 3. Let m be c(3). What is the highest common factor of m and l?
6
Suppose -2*h = 2, -3*a - h + 2 = -0*a. Let c be (3/9)/((-1)/(-12)). Suppose 5*l - 14 = -c. Calculate the greatest common factor of a and l.
1
Suppose -2*x + 8 = -8. Let u(y) = 56*y**3 - y**2 + 1. Let b be 2 - (3 - 2) - 0. Let g be u(b). Calculate the highest common factor of x and g.
8
Suppose -4*l + 78 = -2*l - 4*h, -3*l + 4*h = -113. Calculate the greatest common divisor of 5 and l.
5
Let p be (2 - 0) + -1 + 55. Let j be ((-36)/14)/((-2)/p). Suppose 3*o + 30 = 174. What is the highest common factor of o and j?
24
Let n be 10*1*1/(-2). Let f = -10 - n. Let a = f + 14. What is the highest common factor of 6 and a?
3
Let p(h) = -2*h + 25. Let x be p(-7). What is the highest common factor of 78 and x?
39
Let p(v) = 11*v**2 - v + 81. Let j be p(0). What is the highest common divisor of j and 54?
27
Let p(q) = -5*q**2 - 7*q + 4. Let v be p(5). Let t = v - -365. Let m = -9 + 28. Calculate the greatest common divisor of t and m.
19
Let k = -8 - -7. Let a be 63/6*(k - -3). What is the greatest common divisor of 189 and a?
21
Suppose -2*s = -2*r - 28, 3*r + 60 = 4*s + s. Calculate the highest common factor of 63 and s.
9
Let r(m) = -5*m - 1. Let f be r(4). Let i = f - -37. What is the highest common divisor of i and 4?
4
Suppose 14 = -3*o + 2. Let y be (2 + o)*(-38)/4. Suppose -5 = 2*l + 1, -3*p + 525 = -4*l. What is the greatest common divisor of p and y?
19
Let b be (1 + (-6)/10)*140. Let i be b/6 - 4/12. What is the greatest common factor of 6 and i?
3
Let k be -12 - -4*4/(-4). Let z = 58 + k. What is the greatest common divisor of 14 and z?
14
Suppose -4 = -3*m + 26. What is the highest common divisor of 1 and m?
1
Suppose 5*m - 15 = -5. Suppose m*y = -3*y + 30. Calculate the greatest common factor of y and 12.
6
Let a = 6 - 3. Suppose -x - l + 16 = 0, 4*l + 0*l = -a*x + 44. Calculate the highest common divisor of 5 and x.
5
Suppose -g = -l - 43, -g + l - 191 = -6*g. Let v be -1 - (-38)/3 - 28/(-21). Calculate the greatest common divisor of g and v.
13
Let h be 0 + 0/1 - 9. Let n = -7 - h. Suppose -5*j + 36 + 39 = 5*t, n*t = -
|
{
"pile_set_name": "DM Mathematics"
}
|
is 667 minutes before 9:19 PM?
10:12 AM
How many minutes are there between 11:08 AM and 6:27 PM?
439
How many minutes are there between 8:59 AM and 11:07 AM?
128
How many minutes are there between 1:21 PM and 6:53 PM?
332
How many minutes are there between 1:26 PM and 11:35 PM?
609
How many minutes are there between 12:52 PM and 3:02 PM?
130
What is 700 minutes after 4:21 AM?
4:01 PM
What is 616 minutes after 11:39 AM?
9:55 PM
How many minutes are there between 10:20 PM and 7:18 AM?
538
How many minutes are there between 12:42 PM and 3:07 PM?
145
How many minutes are there between 3:04 AM and 7:10 AM?
246
How many minutes are there between 11:00 PM and 1:39 AM?
159
What is 253 minutes after 2:58 AM?
7:11 AM
What is 90 minutes before 10:20 PM?
8:50 PM
How many minutes are there between 6:12 AM and 6:32 AM?
20
What is 473 minutes before 3:48 AM?
7:55 PM
What is 617 minutes after 6:44 PM?
5:01 AM
How many minutes are there between 12:40 PM and 5:35 PM?
295
What is 97 minutes after 1:43 PM?
3:20 PM
How many minutes are there between 2:05 AM and 6:03 AM?
238
What is 543 minutes before 5:12 AM?
8:09 PM
What is 96 minutes after 5:31 AM?
7:07 AM
What is 607 minutes after 12:04 PM?
10:11 PM
How many minutes are there between 7:45 AM and 10:19 AM?
154
What is 480 minutes after 3:52 AM?
11:52 AM
How many minutes are there between 8:28 AM and 9:04 AM?
36
What is 63 minutes before 10:00 PM?
8:57 PM
How many minutes are there between 5:38 PM and 5:50 PM?
12
How many minutes are there between 6:17 AM and 6:56 AM?
39
How many minutes are there between 3:13 PM and 12:16 AM?
543
What is 373 minutes before 5:01 AM?
10:48 PM
What is 264 minutes before 4:43 PM?
12:19 PM
What is 60 minutes before 2:04 PM?
1:04 PM
How many minutes are there between 8:39 PM and 2:23 AM?
344
How many minutes are there between 10:46 PM and 5:24 AM?
398
How many minutes are there between 2:18 AM and 1:33 PM?
675
What is 675 minutes after 9:04 AM?
8:19 PM
How many minutes are there between 3:48 AM and 8:18 AM?
270
How many minutes are there between 3:56 AM and 6:13 AM?
137
What is 398 minutes after 12:50 AM?
7:28 AM
What is 283 minutes after 11:36 PM?
4:19 AM
How many minutes are there between 2:01 AM and 10:12 AM?
491
How many minutes are there between 6:38 AM and 3:06 PM?
508
How many minutes are there between 8:18 AM and 10:26 AM?
128
How many minutes are there between 3:22 PM and 12:02 AM?
520
How many minutes are there between 9:54 AM and 12:30 PM?
156
How many minutes are there between 3:34 PM and 5:50 PM?
136
What is 88 minutes after 4:21 PM?
5:49 PM
What is 238 minutes before 5:54 PM?
1:56 PM
How many minutes are there between 3:20 AM and 5:53 AM?
153
What is 583 minutes after 5:37 PM?
3:20 AM
How many minutes are there between 3:19 AM and 2:20 PM?
661
What is 525 minutes after 12:38 PM?
9:23 PM
How many minutes are there between 11:08 AM and 7:45 PM?
517
What is 457 minutes after 2:44 AM?
10:21 AM
How many minutes are there between 7:49 AM and 12:00 PM?
251
What is 446 minutes before 2:35 AM?
7:09 PM
What is 36 minutes after 9:08 PM?
9:44 PM
How many minutes are there between 11:57 AM and 12:39 PM?
42
What is 505 minutes after 5:13 PM?
1:38 AM
What is 490 minutes after 8:06 PM?
4:16 AM
How many minutes are there between 11:06 PM and 6:30 AM?
444
How many minutes are there between 5:00 AM and 2:57 PM?
597
What is 609 minutes after 12:27 PM?
10:36 PM
How many minutes are there between 6:52 AM and 7:25 AM?
33
What is 636 minutes after 11:35 AM?
10:11 PM
How many minutes are there between 9:59 AM and 11:43 AM?
104
How many minutes are there between 7:07 PM and 5:32 AM?
625
What is 253 minutes after 8:51 PM?
1:04 AM
How many minutes are there between 3:09 PM and 11:14 PM?
485
What is 557 minutes after 2:32 AM?
11:49 AM
How many minutes are there between 10:53 AM and 8:48 PM?
595
How many minutes are there between 11:48 AM and 11:03 PM?
675
What is 682 minutes after 1:44 PM?
1:06 AM
How many minutes are there between 1:31 AM and 10:50 AM?
559
What is 103 minutes before 4:46 AM?
3:03 AM
How many minutes are there between 11:03 PM and 2:14 AM?
191
How many minutes are there between 8:46 PM and 2:23 AM?
337
How many minutes are there between 2:54 PM and 7:18 PM?
264
What is 165 minutes after 4:17 AM?
7:02 AM
What is 679 minutes before 7:25 PM?
8:06 AM
How many minutes are there between 5:17 AM and 12:53 PM?
456
What is 149 minutes before 11:36 PM?
9:07 PM
What is 142 minutes after 8:43 PM?
11:05 PM
What is 300 minutes before 12:13 PM?
7:13 AM
What is 419 minutes after 5:31 PM?
12:30 AM
What is 564 minutes before 10:33 PM?
1:09 PM
How many minutes are there between 4:39 PM and 10:03 PM?
324
How many minutes are there between 5:13 AM and 10:34 AM?
321
What is 240 minutes after 12:18 AM?
4:18 AM
How many minutes are there between 2:46 PM and 3:49 PM?
63
How many minutes are there between 5:40 AM and 10:38 AM?
298
What is 538 minutes after 5:30 AM?
2:28 PM
How many minutes are there between 4:11 PM and 9:06 PM?
295
How many minutes are there between 10:18 PM and 6:00 AM?
462
What is 36 minutes before 6:40 PM?
6:04 PM
How many minutes are there between 10:33 AM and 1:20 PM?
167
What is 514 minutes after 4:48 PM?
1:22 AM
What is 231 minutes after 4:34 AM?
8:25 AM
How many minutes are there between 11:58 PM and 11:46 AM?
708
What is 399 minutes before 2:05 AM?
7:26 PM
How many minutes are there between 6:47 PM and 10:24 PM?
217
What is 410 minutes after 11:02 PM?
5:52 AM
How many minutes are there between 8:28 AM and 11:04 AM?
156
How many minutes are there between 3:03 AM and 4:25 AM?
82
How many minutes are there between 5:02 PM and 10:47 PM?
345
What is 421 minutes before 1:34 PM?
6:33 AM
How many minutes are there between 10:43 PM and 8:42 AM?
599
How many minutes are there between 9:03 AM and 8:21 PM?
678
How many minutes are there between 6:28 AM and 6:23 PM?
715
How many minutes are there between 2:36 PM and 8:13 PM?
337
What is 573 minutes after 9:35 PM?
7:08 AM
What is 126 minutes before 11:55 PM?
9:49 PM
How many minutes are there between 9:53 AM and 6:43 PM?
530
What is 153 minutes after 7:38 AM?
10:11 AM
How many minutes are there between 7:08 PM and 6:45 AM?
697
How many minutes are there between 11:38 PM and 7:14 AM?
456
How many minutes are there between 9:42 AM and 10:20 AM?
38
What is 40 minutes after 2:45 AM?
3:25 AM
How many minutes are there between 2:25 AM and 11:15 AM?
530
What is 67 minutes after 9:51 PM?
10:58 PM
What is 388 minutes after 3:13 AM?
9:41 AM
How many minutes are there between 10:16 PM and 12:40 AM?
144
What is 404 minutes after 2:55 AM?
9:39 AM
What is 359 minutes after 8:29 AM?
2:28 PM
How many minutes are there between 4:31 AM and 3:28 PM?
657
How many minutes are there between 8:54 PM and 10:31 PM?
97
What is 399 minutes before 6:13 AM?
11:34 PM
What is 576 minutes after 5:40 AM?
3:16 PM
How many minutes are there between 8:31 AM and 2:38 PM?
367
What is 320 minutes after 6:46 AM?
12:06 PM
What is 481 minutes before 11:38 AM?
3:37 AM
How many minutes are there between 1:40 PM and 5:09 PM?
209
How many minutes are there between 8:54 PM and 1:49 AM?
295
What is 524 minutes after 3:39 AM?
12:23 PM
How many minutes are there between 12:06 PM and 10:31 PM?
625
How many minutes are there between 10:14 AM and 4:48 PM?
394
How many minutes are there between 2:26 PM and 9:34 PM?
428
What is 127 minutes after 6:02 AM?
8:09 AM
What is 90 minutes before 2:13 PM?
12:43 PM
What is 611 minutes after 3:47 PM?
1:58 AM
How many minutes are there between 7:44 AM and 12:40 PM?
296
What is 321 minutes after 9:22 PM?
2:43 AM
How many minutes are there between 4:27 PM and 5:44 PM?
77
What is 705 minutes before 10:31 AM?
10:46 PM
How many minutes are there between 1:26 PM and 2:06 PM?
40
What is 605 minutes after 1:53 PM?
11:58 PM
How many minutes are there between 7:18 PM and 6:45 AM?
687
How many minutes are there between 3:46 AM and 11:38 AM?
472
How many minutes are there between 1:36 AM and 4:15 AM?
159
How many minutes are there between 8:23 PM and 7:26 AM?
663
What is 372 minutes after 7:19 PM?
1:31 AM
How many minutes are there between 12:49 PM and 9:37 PM?
528
What is 6 minutes after 9:43 PM?
9:49 PM
What is 597 minutes before 10:07 PM?
12:10 PM
How many minutes
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the remainder when 374 is divided by 108?
50
Calculate the remainder when 44 is divided by 16.
12
What is the remainder when 1874 is divided by 196?
110
What is the remainder when 5983 is divided by 39?
16
Calculate the remainder when 387 is divided by 103.
78
Calculate the remainder when 479 is divided by 124.
107
Calculate the remainder when 2393 is divided by 1185.
23
What is the remainder when 1695 is divided by 242?
1
What is the remainder when 9580 is divided by 223?
214
What is the remainder when 684 is divided by 170?
4
Calculate the remainder when 146 is divided by 76.
70
What is the remainder when 536 is divided by 24?
8
Calculate the remainder when 6679 is divided by 163.
159
What is the remainder when 40 is divided by 26?
14
What is the remainder when 317 is divided by 65?
57
What is the remainder when 8924 is divided by 7?
6
What is the remainder when 1048 is divided by 264?
256
What is the remainder when 3895 is divided by 60?
55
Calculate the remainder when 96 is divided by 10.
6
What is the remainder when 4738 is divided by 12?
10
Calculate the remainder when 133 is divided by 44.
1
What is the remainder when 765 is divided by 24?
21
Calculate the remainder when 175 is divided by 44.
43
What is the remainder when 156 is divided by 42?
30
What is the remainder when 325 is divided by 20?
5
What is the remainder when 267 is divided by 82?
21
What is the remainder when 103 is divided by 29?
16
Calculate the remainder when 313 is divided by 8.
1
What is the remainder when 29 is divided by 19?
10
What is the remainder when 2241 is divided by 33?
30
What is the remainder when 496 is divided by 50?
46
What is the remainder when 15959 is divided by 57?
56
What is the remainder when 259 is divided by 70?
49
What is the remainder when 58 is divided by 30?
28
Calculate the remainder when 447 is divided by 14.
13
What is the remainder when 86 is divided by 27?
5
What is the remainder when 315 is divided by 67?
47
Calculate the remainder when 79 is divided by 17.
11
What is the remainder when 120 is divided by 111?
9
Calculate the remainder when 111 is divided by 65.
46
Calculate the remainder when 121 is divided by 48.
25
What is the remainder when 389 is divided by 53?
18
Calculate the remainder when 4171 is divided by 64.
11
Calculate the remainder when 109 is divided by 24.
13
Calculate the remainder when 467 is divided by 118.
113
What is the remainder when 125 is divided by 121?
4
Calculate the remainder when 375 is divided by 77.
67
What is the remainder when 123 is divided by 13?
6
What is the remainder when 3957 is divided by 564?
9
What is the remainder when 772 is divided by 255?
7
Calculate the remainder when 297 is divided by 14.
3
Calculate the remainder when 717 is divided by 122.
107
What is the remainder when 447 is divided by 56?
55
What is the remainder when 37 is divided by 10?
7
What is the remainder when 381 is divided by 237?
144
What is the remainder when 1129 is divided by 50?
29
What is the remainder when 1684 is divided by 840?
4
What is the remainder when 157 is divided by 16?
13
What is the remainder when 5379 is divided by 234?
231
Calculate the remainder when 550 is divided by 24.
22
What is the remainder when 885 is divided by 29?
15
Calculate the remainder when 1776 is divided by 10.
6
What is the remainder when 3896 is divided by 75?
71
What is the remainder when 1808 is divided by 67?
66
Calculate the remainder when 2747 is divided by 86.
81
Calculate the remainder when 91 is divided by 23.
22
Calculate the remainder when 30 is divided by 19.
11
Calculate the remainder when 687 is divided by 62.
5
What is the remainder when 145 is divided by 17?
9
What is the remainder when 1583 is divided by 14?
1
What is the remainder when 18146 is divided by 22?
18
What is the remainder when 29 is divided by 3?
2
Calculate the remainder when 2547 is divided by 75.
72
What is the remainder when 1115 is divided by 489?
137
What is the remainder when 6915 is divided by 7?
6
Calculate the remainder when 123 is divided by 115.
8
What is the remainder when 294 is divided by 79?
57
What is the remainder when 37 is divided by 9?
1
What is the remainder when 1246 is divided by 48?
46
Calculate the remainder when 169 is divided by 19.
17
Calculate the remainder when 1114 is divided by 36.
34
Calculate the remainder when 613 is divided by 204.
1
What is the remainder when 244 is divided by 124?
120
What is the remainder when 303 is divided by 25?
3
Calculate the remainder when 1044 is divided by 55.
54
Calculate the remainder when 1019 is divided by 51.
50
Calculate the remainder when 105 is divided by 36.
33
Calculate the remainder when 669 is divided by 61.
59
Calculate the remainder when 447 is divided by 32.
31
Calculate the remainder when 3920 is divided by 30.
20
What is the remainder when 979 is divided by 276?
151
Calculate the remainder when 166 is divided by 9.
4
Calculate the remainder when 733 is divided by 62.
51
Calculate the remainder when 118 is divided by 21.
13
What is the remainder when 191 is divided by 12?
11
What is the remainder when 439 is divided by 21?
19
What is the remainder when 223 is divided by 72?
7
What is the remainder when 2559 is divided by 151?
143
Calculate the remainder when 299 is divided by 20.
19
Calculate the remainder when 662 is divided by 18.
14
What is the remainder when 4735 is divided by 86?
5
What is the remainder when 1143 is divided by 568?
7
Calculate the remainder when 4 is divided by 1.
0
What is the remainder when 294 is divided by 99?
96
Calculate the remainder when 509 is divided by 51.
50
What is the remainder when 937 is divided by 20?
17
What is the remainder when 68 is divided by 35?
33
Calculate the remainder when 1253 is divided by 154.
21
What is the remainder when 4366 is divided by 141?
136
What is the remainder when 3204 is divided by 9?
0
Calculate the remainder when 129 is divided by 17.
10
What is the remainder when 56 is divided by 43?
13
Calculate the remainder when 6816 is divided by 55.
51
What is the remainder when 1949 is divided by 966?
17
What is the remainder when 573 is divided by 10?
3
What is the remainder when 1084 is divided by 74?
48
Calculate the remainder when 214 is divided by 33.
16
Calculate the remainder when 7466 is divided by 77.
74
What is the remainder when 121 is divided by 5?
1
What is the remainder when 55 is divided by 30?
25
Calculate the remainder when 39 is divided by 30.
9
What is the remainder when 2662 is divided by 7?
2
What is the remainder when 1869 is divided by 144?
141
Calculate the remainder when 4040 is divided by 119.
113
Calculate the remainder when 94 is divided by 6.
4
What is the remainder when 4213 is divided by 17?
14
What is the remainder when 4879 is divided by 52?
43
What is the remainder when 57 is divided by 34?
23
Calculate the remainder when 269 is divided by 39.
35
Calculate the remainder when 1050 is divided by 27.
24
What is the remainder when 966 is divided by 19?
16
What is the remainder when 4314 is divided by 29?
22
What is the remainder when 339 is divided by 70?
59
Calculate the remainder when 195 is divided by 90.
15
What is the remainder when 1834 is divided by 34?
32
Calculate the remainder when 2911 is divided by 13.
12
Calculate the remainder when 5364 is divided by 2675.
14
What is the remainder when 221 is divided by 76?
69
Calculate the remainder when 251 is divided by 20.
11
What is the remainder when 13103 is divided by 114?
107
What is the remainder when 446 is divided by 18?
14
Calculate the remainder when 70 is divided by 51.
19
Calculate the remainder when 3 is divided by 3.
0
Calculate the remainder when 2379 is divided by 5.
4
What is the remainder when 1233 is divided by 199?
39
Calculate the remainder when 1117 is divided by 278.
5
Calculate the remainder when 1411 is divided by 18.
7
Calculate the remainder when 219 is divided by 38.
29
What is the remainder when 28 is divided by 4?
0
Calculate the remainder when 42 is divided by 24.
18
Calculate the remainder when 179 is divided by 34.
9
Calculate the remainder when 401 is divided by 188.
25
Calculate the remainder when 2125 is divided by 304.
301
Calculate the remainder when 187 is divided by 47.
46
Calculate the rem
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by (940/(-48) - (-2)/8)*(-3)/2.
27
Suppose -7*q - 63 = -8*q - 20. What is the remainder when 2063 is divided by q?
42
Suppose -4*n - n + 570 = 0. Suppose -86 = -3*q + 3*z - 32, -4*q + 61 = -5*z. What is the remainder when n is divided by q?
27
Let o be (4/(-8) + 0)*-1*4. Suppose -2*c + 854 = -2*a, 2*c + 0*c - 870 = -o*a. Let k = c - 289. What is the remainder when k is divided by 12?
10
Let g(c) = -4*c**2 + 27*c + 43. What is the remainder when 64 is divided by g(8)?
1
Let a(f) = f**3 + f**2 - 18*f - 26. Let q be a(-8). Let l = q - -504. Calculate the remainder when l is divided by 35.
34
Let i be -32 - -35 - (4 - 1). Suppose -322 = -2*x + 2*p, i*x - 2*x = -p - 324. Calculate the remainder when x is divided by 28.
23
Suppose 5*u - 166 - 214 = 0. Let m(i) = -i**3 + 23*i**2 - 22*i + 2. What is the remainder when u is divided by m(22)?
0
Suppose 2402*t - 2483*t = -47142. Calculate the remainder when t is divided by 21.
15
Suppose -381*r + 790*r + 881958 = 1993*r + 1958*r. Suppose -4*c - c + 140 = 0. Calculate the remainder when r is divided by c.
25
Calculate the remainder when 258 + ((-6)/9)/(10/75) is divided by 128.
125
What is the remainder when 1746 is divided by ((-98)/3)/(7 + (-1639)/231)?
31
Let v = 23 + 109. Suppose -2*b = b - 2*m - 89, 0 = -4*b - 4*m + v. Let u = 8 - 0. Calculate the remainder when b is divided by u.
7
Let u = 1004 + -996. Suppose 4*t - 3*a = 8, -4 = -t - t - a. What is the remainder when u is divided by t?
0
Let k(i) = 6*i**2 + 9*i + 9. Suppose 2*b - 4*b + x - 34 = 0, 0 = 3*b + 2*x + 44. Let l = -9 - b. What is the remainder when l is divided by k(-1)?
1
Let b(j) be the first derivative of j**4/4 - 5*j**3/3 + 2*j**2 - 9*j - 12. Let u be b(4). Calculate the remainder when ((-3)/u)/(2/150) is divided by 9.
7
Let j = 18 - 13. Suppose 5*s - m - 1492 = 0, s - 31*m = -33*m + 294. What is the remainder when s is divided by j?
3
Suppose 30*n - 29*n - 155 = -p, -2*n - 3*p + 305 = 0. Calculate the remainder when 2719 is divided by n.
159
Let o = 3945 - 3918. What is the remainder when 314 is divided by o?
17
Suppose -20*v - 6084 = 5676. Let a = v - -596. What is the remainder when 118 is divided by a?
6
Let m = -232 - -252. Suppose m*b - 30 = 10*b. Calculate the remainder when 37 is divided by b.
1
Let l(p) = 80*p + 4. Let x be l(2). Let r = 186 - x. Suppose -3*w + 283 - 46 = 0. What is the remainder when w is divided by r?
13
Suppose 64 + 128 = -6*u. Let f be (u/((-12)/(-3)))/1. Let h(d) = d**3 + 7*d**2 - 14*d - 5. Calculate the remainder when h(f) is divided by 17.
9
Suppose 0 = 2*l + 2*l + 5*v - 493, -3*l + v = -365. Let w(a) = 2381*a - 23778. What is the remainder when l is divided by w(10)?
26
Suppose -2143 = -5*z - 4*q, -2 = 37*q - 38*q. What is the remainder when 445 is divided by z?
18
Let b(n) = n**2 - 84. Let p be b(9). Let k(w) = -19*w - 26. What is the remainder when k(p) is divided by 11?
9
Let o(g) = -14*g - 4 + 137*g**3 - 136*g**3 - 8 - 8*g**2 - 9. Calculate the remainder when 265 is divided by o(10).
31
Let s = 62 - -377. Let z = s + -292. What is the remainder when z is divided by 46?
9
Let h be (1/(-3))/(19/(-57)). Let q(i) = 13*i + 4 - 12 - h - 8. Calculate the remainder when 172 is divided by q(4).
32
Let v(o) = 126*o + 3239. What is the remainder when v(17) is divided by 18?
17
Let i(z) = -6*z - 4. Let d be i(-5). Let l = 31 - d. Suppose 0 = l*x - x - 64. Calculate the remainder when 31 is divided by x.
15
Let m = 62 + -3. Suppose 0*n + 14*n - 70 = 0. Suppose g - 17 = -4*y, -16*y + 106 = n*g - 17*y. What is the remainder when m is divided by g?
17
Let t(i) = 15*i - 107. Let q(z) = -32*z + 214. Let a(d) = -2*q(d) - 5*t(d). What is the remainder when a(8) is divided by 13?
6
Suppose 762 = 3*n + 5*t - 7*t, -6*t = n - 254. Calculate the remainder when n is divided by 74.
32
Let c = -12442 - -12554. Suppose 353 = 4*s + 125. What is the remainder when c is divided by s?
55
Let l = -19346 + 19397. What is the remainder when l is divided by (-11)/(1 + -1 - 1)?
7
Let w = -4245 - -4452. Calculate the remainder when w is divided by 60.
27
Let r(n) = -n + 2*n**2 + 7 + 23*n + 12. Let d be r(-10). What is the remainder when 13 + 12 - (0 - 2)/d is divided by 8?
7
Let i = -85 - -88. Suppose -f - i*k + 0*k - 4 = 0, 5*f = -3*k - 56. Let j = 17 - f. What is the remainder when j is divided by 20?
10
Let h(k) be the second derivative of k**4/6 + 20*k**3/3 + 5*k**2/2 - 2*k + 19. Calculate the remainder when h(-25) is divided by 32.
31
Let s = 361 - 526. Let p be (3 - 580/8)*2. Let y = p - s. What is the remainder when 50 is divided by y?
24
Suppose 4*o + 3*q + 0*q = -12, 3*o = -q - 9. Let a be (((-32)/20)/4)/(o/15). Calculate the remainder when (-6912)/(-112) + a*(-2)/(-14) is divided by 32.
30
Suppose -540*s + 23875 = -349*s. Calculate the remainder when s is divided by 129/4 - 1/4.
29
Let l(p) = -p**2 + 30*p - 31. Suppose 109 + 29 = 6*f. Let u be l(f). Let n = u + -107. Calculate the remainder when 62 is divided by n.
16
Let p(c) = -44*c - 7. Let y = -25 - -24. Calculate the remainder when p(y) is divided by 10.
7
Let z(r) = r**3 + 11*r**2 + 20*r + 22. Let i be z(-9). Suppose -5*v = i*a - 375, 0 = -5*a - 2*v + 640 - 184. What is the remainder when a is divided by 28?
6
Suppose -t + 114 = 3*l, -4*t - 5*l = -9*t + 670. Suppose t*s - 132*s + 468 = 0. Calculate the remainder when s is divided by 56.
44
Let p(f) = 12*f**2 + f - 2. Let l(b) = -b**3 + 9*b**2 + b - 95. Let q = -8 + 14. What is the remainder when p(2) is divided by l(q)?
10
Let p(c) = 306*c + 2164. Calculate the remainder when 243 is divided by p(-7).
1
Let s = 9 - 7. Suppose 0*u - 5*u = 2*o - 50, 5*o = -s*u - 1. Let n(v) = -v**3 - 27*v**2 + 58*v + 56. Calculate the remainder when n(-29) is divided by u.
8
Let i = -9 + 60. Let x = -75 + i. What is the remainder when ((-16)/3 - -4)/(2/x) is divided by 6?
4
Suppose 2*l + 2 = -5*m, m - 5*m - 24 = -4*l. Suppose 54 = -2*n + 3*n + 2*f, 158 = 3*n + 2*f. Let j = n - 46. Calculate the remainder when j is divided by l.
2
Let q(m) = -m**2 - 960*m - 6649. Let v(p) = -p + 103. What is the remainder when v(0) is divided by q(-7)?
15
Suppose -b = -6*o + 3*o - 6, 3 = -3*o. Suppose 0 = -x - 5*g + 42, 0 = b*x + 2*g - 75 + 1. Calculate the remainder when 84 is divided by x.
18
Let m = 302 - 459. Let l = m + 222. Suppose 2*f - 140 = -3*f - z, -z + 5 = 0. Calculate the remainder when l is divided by f.
11
What is the remainder when 533 is divided by -1 + -7 - (468/36 + -86)?
13
Let a = -1158 - -1709. Calculate the remainder when a is divided by (3*-6)/((-33)/44).
23
Suppose 2*q = -2*q. Let n(p) = p**2 - p + 19. Let v(g) = g**2 - g + 18. Let b(o) = -3*n(o) + 4*v(o). What is the remainder when 73 is divided by b(q)?
13
Suppose -631 - 1157 = -4*b + 3*a, 4*a + 1792 = 4*b. What is the remainder when b is divided by 113?
105
Let y(a) = 33*a - 2771. What is the remainder when 1404 is divided by y(86)?
64
Suppose q = -176 + 199. Let d(p) = p**2 - 5*p - 2. Let o(m) = 2*m**2 - 16*m - 7. Let u(g) = 7*d(g) - 2*o(g). What is the remainder when u(-5) is divided by q?
21
Let p(h) = h + 159. What is the remainder when p(13) is divided by 5?
2
Let k(p) = 2*p**2 - 33*p - 49. Let b be k(18). Suppose m - b*m + 35 = 5*s, 4*s + m = 39. Calculate the remainder when 250 is divided by s.
8
Suppose 2*f - f + 91 = 0. Let t = f - -149. Suppose 4*w + 354 = -2*r + 376, 58 = 3*r + w. What is the remainder when t is divided by r?
16
Let b be (2/(-3))/(2/(-12)). Suppose 8 = b*s, -2*o = 3*s + 2*s + 22. What is the remainder when ((-60)/o)/(6/16) - -3 is divided by 4?
1
Let q be (-7 + -2)*-33*(-5)/15. Let m = q + 140. Calculate the remainder when (-2)/7 - (-4572)/28 is divided by m.
40
Let v be 0*(-1 - 1)*6/(-48). Suppose 2*t - 166 - 54 = v. What is the remainder when t is divided by (-1)/(0 + 2/(-112))?
54
Suppose 2*l = -5*m + 3426, 4*m = 36*l - 39*l + 2731. What is the remainder when m is divided by 356?
332
Let k be (-2 + -8)*11/((-550)/(-20)). Calculate the remainder when (k/(-6))/((-23)/((-93288)/16)) is divided by 17.
16
Let s be (5 - 77/21)*3. Let b(n) = -n + 4. Calculate the remainder when (1/s)/(13/884) is divided by b(0).
1
Let b be 137*((-6)/2 + 3 + 1). Suppose -3*z + 128 = 4*w, b = 14*z - 11*z - 5*w. Let t = 18 - 9. Calculate the remainder when z
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when y is divided by (6 + (-2)/3)*3?
15
Let f = -416 - -549. Calculate the remainder when f is divided by 2.
1
Suppose 0 = -2*a - 4, 0*a = 4*o + a + 118. Let r = o + 44. What is the remainder when r is divided by 2?
1
Let u(g) = -16*g**3 + 3*g**2 + 2*g - 1. Let m be u(-1). Calculate the remainder when -85*2/m*4*-2 is divided by 22.
19
Let g be (-4)/6 + 812/(-42). Let u = g + 83. Let q(f) = 5*f + 3. Calculate the remainder when u is divided by q(2).
11
What is the remainder when (-2 - (7 - 8))*-164 is divided by 21?
17
Let g(y) = 11*y + 3. Let d be g(-5). Calculate the remainder when (-6)/(-39) - 2696/d is divided by 37/2 - 1/2.
16
Let a be -2 - -3 - 388/(-2). Suppose 0 = 5*k - 4*k + 2*s - 105, 0 = -2*k - s + a. What is the remainder when k is divided by 32?
31
Let z = 231 + 53. What is the remainder when z is divided by 99?
86
Let b = 102 - 85. Let i(k) = 20*k**2 + 10*k - 9. Calculate the remainder when i(3) is divided by b.
14
Suppose 2*y = -u + 332, 19*y - 338 = 17*y + 2*u. Calculate the remainder when y is divided by 60.
47
Suppose 0 = 45*i - 4*i - 6355. What is the remainder when i is divided by 72?
11
Calculate the remainder when 57 is divided by -1 - (-22)/20 - 894/(-60).
12
Suppose 0 = -v + 3*v - 2. Suppose z = 4*j + 52, 5*z + 2*j = v + 281. Calculate the remainder when z is divided by 29.
27
Let i = -141 - -149. Let p(d) = -2*d**2 + 17*d + 2. What is the remainder when p(i) is divided by 7?
3
Suppose 25*z - 2444 + 144 = 0. Calculate the remainder when z is divided by 29.
5
Let c be (3 + -7)/(1/4)*-14. Let k = c - 20. What is the remainder when k is divided by 41?
40
Let f = 85 - 82. Suppose -2*y = v + 2*v - 10, -v - 34 = -4*y. Calculate the remainder when y is divided by f.
2
Let m = -12 + -2. Let c = -2 - m. Calculate the remainder when 34 is divided by c.
10
Let o(p) = p**3 + 24*p**2 - 10*p - 67. Calculate the remainder when o(-24) is divided by 170.
3
Suppose -o - 10 = -2*o. Suppose -5*y = 5*m - 92 - 83, 3*y = 5*m - 199. Calculate the remainder when m is divided by o.
8
Calculate the remainder when (-3 - 0)*5/(165/(-869)) is divided by 15.
4
Suppose -s = 5*p + 16, 32 = -s - 2*s + p. Let c(n) = n**2 + 11*n + 16. What is the remainder when 26 is divided by c(s)?
10
Let y(q) = -2*q**3 + 2*q**2 + 3*q - 2. Let j be y(2). Calculate the remainder when 33/3*(2 + -1) is divided by (24/15)/(j/(-10)).
3
Suppose -2*o - 310 = -3*h, 3*h + 2*o - 314 = -0*o. Let d = 123 - h. Calculate the remainder when d is divided by 4.
3
Suppose -24*p = -338 - 1294. What is the remainder when p is divided by 30?
8
Let h = 4 + 1. Suppose -c = 3*b - 0*c - 169, 0 = -2*c + 2. Let x = 80 - b. Calculate the remainder when x is divided by h.
4
Calculate the remainder when (2 + -2 + -1)/((-1)/277) is divided by 10.
7
What is the remainder when (33784/205)/(3 - 87/30) is divided by 55?
53
Let c = 1738 - 1695. Calculate the remainder when 379 is divided by c.
35
Let k(n) = n**3 - 3*n**2 + 12*n + 17. What is the remainder when 2117 is divided by k(3)?
50
Suppose 54 = -6*l + 7*l. What is the remainder when l is divided by 1*16 - (-55)/(-11)?
10
Suppose -4*p + 15 = 5*g, -6 = -g - g - p. Suppose 2*a = -g*a + 4*n + 16, -5*a + 5*n = -15. Let h = 9 - a. Calculate the remainder when 9 is divided by h.
4
Let h = 50 - 47. Suppose 3*y - 2 = -p, -h*p - 3 = y + p. What is the remainder when y is divided by 1?
0
Suppose 5*v + 0*v - 154 = -2*q, 0 = q + v - 77. Calculate the remainder when 137 is divided by q.
60
Suppose 0 = 4*p + 3*h - 88, 2*h = p - 12 + 1. What is the remainder when 150 is divided by p?
17
Let m(b) = 2*b - 11. Let t be m(4). Let o = 14 - -17. What is the remainder when o is divided by 16/t*7/((-14)/3)?
7
Let z = -63 - -45. Let m be 8/(-2)*(-3)/4. Calculate the remainder when 14 is divided by z*m/(-6) + 0.
5
Suppose 0 = 2*f + 5 + 35. Let z = f + 34. Calculate the remainder when (-1668)/(-30) - 6/10 is divided by z.
13
Let q(u) = -u - 10. Let z be q(-11). Let c be (z/(-1))/1 - -9. Let d = c - -5. What is the remainder when d is divided by 7?
6
Let i(f) = f**3 + 7*f**2 + 11*f. Calculate the remainder when (15 - 5) + 0 + 1 is divided by i(-4).
3
Suppose 0*m - 109 = 2*m + 5*s, s - 3 = 0. Let f = -41 - m. Let g(x) = -39*x. What is the remainder when g(-1) is divided by f?
18
Calculate the remainder when (-10)/75 + (-1937)/(-15) + 2 is divided by 1.
0
Let a(x) = 4*x**2 + 3*x. Suppose -11 + 2 = 5*p + z, z - 1 = 0. What is the remainder when 1/4 + 3*(-1340)/(-240) is divided by a(p)?
7
Let r = -103 + 110. Let y = r - -31. Suppose -2*d - 747 = -5*j, -2*d - 596 = -4*j - 0*d. Calculate the remainder when j is divided by y.
37
Suppose 169*u - 149*u - 240 = 0. What is the remainder when 165 is divided by u?
9
Suppose 339 = 4*b - 3*l - 171, -2*b + 5*l = -248. Suppose -52*j + 520 = -32*j. Calculate the remainder when b is divided by j.
25
Let a be 10/(-45) - (-796)/18. Suppose -t - 5*r - 4 = -0*t, -4*t = 5*r - a. What is the remainder when t is divided by 5?
1
Let o = 44 + -27. Let g(b) = 10*b - 5*b**2 + 1 + b + b**3 - 2*b**2. What is the remainder when g(6) is divided by o?
14
Let k(w) = 2*w**2 - 59*w - 329. Suppose -5*n - 56 - 259 = -5*z, 2*n = -4*z + 252. Calculate the remainder when z is divided by k(-5).
15
Let q = 52 + -35. Let v = q - -11. Calculate the remainder when v is divided by 11.
6
Let o(i) = -i**2 - 13*i - 12. Let t(a) = a - 2. Let n be t(5). Suppose 2*s + 82 = 3*w + n*s, 24 = w + s. What is the remainder when w is divided by o(-11)?
9
Let d be (-1)/(-1) - (-169 + 19). Suppose -d = -3*u + 4*q, q = 3*u + 2*u - 280. Calculate the remainder when u is divided by 30.
27
Suppose -3*r + 4*a = -274, 0*a - 355 = -4*r - 5*a. What is the remainder when r is divided by 2 - -29 - (-3 + 2)?
26
Let d(q) = -q**3 - 6*q**2 - 5*q. Let i be d(-5). Suppose 4*z - 33 - 23 = i. What is the remainder when 25 is divided by z?
11
Suppose 264*s + 42 = 270*s. Suppose 0 = -2*d + 10 + 38. Calculate the remainder when d is divided by s.
3
Suppose 607 + 257 = 54*t. What is the remainder when 285 is divided by t?
13
Let k(z) = -13*z + 48. Let i(h) = -168*h + 623. Let p(w) = 6*i(w) - 77*k(w). What is the remainder when 95 is divided by p(4)?
11
Suppose 0 = -u - 20 + 16. What is the remainder when 10 is divided by (u/3)/(10/(-15))?
0
Let c(s) = -2*s - 6. Let k be c(-9). Suppose 0 = -4*m + 2*w + 22, w = 3*m - k - 6. Calculate the remainder when 26 is divided by m.
5
Let h = 70 + -28. Suppose j = 3*b - 77 + 12, 48 = 2*b + 4*j. Calculate the remainder when h is divided by b.
20
Suppose 3*a = 3*p + 381, 0*p - 484 = -4*a - 2*p. Suppose 153 = 3*d + 3*f, 3*d - 8*f + 4*f = 139. What is the remainder when d is divided by 4/(-6) - a/(-9)?
10
Let n(g) = -11 + 2 - 11 + 5 + g**2. What is the remainder when 41 is divided by n(-6)?
20
Suppose 6*b + 3 = 9*b. Calculate the remainder when b + -6 + -9 + 24 is divided by 4.
2
Suppose -3*t = 2*t - 50. Let b(z) = -z**3 + 11*z**2 - 8*z - 5. Let o be b(t). Suppose 4*r - 7*r = -o. What is the remainder when 12 is divided by r?
2
Let k(f) = 224 + 65*f**2 - 444 - 5*f + 225. What is the remainder when k(1) is divided by 19?
8
Let d = 722 + -702. Calculate the remainder when 739 is divided by d.
19
Suppose r - 27 = 4*t, -5*r = 4*t - 44 - 19. Calculate the remainder when 53 is divided by r.
8
Let x(d) = 2*d - 5. Let f be x(4). Suppose 4*z = f*z. Suppose -3*h + 27 + 27 = z. Calculate the remainder when 53 is divided by h.
17
What is the remainder when ((-5337)/(-6))/((-18)/(-12)) is divided by 150?
143
Suppose 12 - 2 = y. Suppose 0 = 4*f - 5*v - 469, v = -4*f - f + 550. What is the remainder when 2/(-2)*f/(-3) is divided by y?
7
Let f(a) = 5*a - a - 6*a + 10 + 3*a. Let x be f(-5). Suppose x*p - 29 - 326 = 0. What is the remainder when p is divided by 18?
17
Let s = -583 + 682. What is the remainder when s is divided by 26?
21
Calculate the remainder when 79 is divided by 38/7 - (-7)/(294/(-18)).
4
Calculate the remainder when (471*(-14)/(-105))/((-1)/(-65)) is divided by 95.
92
Calculate the remainder when 251 is divided by (-28)/70 + (-1116)/(-15).
29
Suppose -26 = -2*s + 86. Let t be 2 + s - 6/6. Suppose 0 = 4*k + x - t, -5*k = -3*k - 2*x - 16. Calculate the remainder when k is divided by 4.
1
Let a(l) = 3*l + 64. Calculate the remainder when 439 is divided by a(
|
{
"pile_set_name": "DM Mathematics"
}
|
q(o(k)).
2*k
Let w(p) = -8*p**2 - p**2 + 7*p**2. Let f(h) = -99*h. Let u(g) = -14*g. Let q(k) = 5*f(k) - 36*u(k). Calculate q(w(s)).
-18*s**2
Let h(x) = -1362*x**2. Let q(v) = 2*v**2. What is q(h(j))?
3710088*j**4
Let j(c) = -24*c - 214. Let g(t) = 2*t. Calculate g(j(b)).
-48*b - 428
Let x(u) = -u. Let l(a) = -19*a**2 + 3*a + 3. Let t(c) = 550*c**2 - 88*c - 88. Let f(m) = 88*l(m) + 3*t(m). Give x(f(r)).
22*r**2
Let v(p) = 5*p**2. Let k(i) = -i + 7*i - 2*i - i. Determine k(v(g)).
15*g**2
Let p(z) = 2*z. Let q(d) = 6*d. Let a = -29 + 21. Let o(t) = a*p(t) + 3*q(t). Let r(u) = 3*u**2. Calculate r(o(c)).
12*c**2
Let v(l) = 63 - 127 + 64 - 2*l. Let g(i) = -3*i**2. Determine g(v(n)).
-12*n**2
Let u(h) be the first derivative of h**3 - h + 27. Let p(i) = -i. Give p(u(g)).
-3*g**2 + 1
Let t(r) = -r**2 + 2. Let c(w) = 5*w**2 - 9. Let q(a) = -2*c(a) - 9*t(a). Let h(i) = 2*i**2. Calculate q(h(v)).
-4*v**4
Let w(o) = -2*o. Suppose 5*r - 110 = -0. Let g be (-12)/30 + r/5. Let l(y) = -5*y + 0*y + g*y. Give w(l(v)).
2*v
Let j(i) = 2*i**2. Let d(w) be the first derivative of w**6/180 + 4*w**3/3 + 1. Let x(f) be the third derivative of d(f). Give j(x(n)).
8*n**4
Let q(o) = -2*o + 2. Let h be q(-2). Let k(w) = -h*w**2 + 2*w**2 + 2*w**2. Let m(i) = -2*i. What is k(m(g))?
-8*g**2
Let f(b) = -5*b + 5*b - 6*b**2. Let d(n) = -7*n**2. Let z(v) = 3*d(v) - 4*f(v). Let k(m) = -2*m**2. What is k(z(j))?
-18*j**4
Let j be 12/4*-1*-29. Let r(u) = 80*u**2 - u + u - j*u**2. Let q(w) = 2*w**2. What is q(r(s))?
98*s**4
Let j(s) = -4*s - 8. Let c(x) = -3*x - 5. Let v = 13 + -5. Let k(i) = v*c(i) - 5*j(i). Let o(h) = -h. Calculate o(k(f)).
4*f
Let w(f) be the second derivative of f**3/6 + f. Let n(a) = 6*a**2. Determine w(n(c)).
6*c**2
Let g(a) = 5*a**2. Let d(y) be the third derivative of -y**5/60 - 5*y**2. Determine d(g(z)).
-25*z**4
Let r(l) = -8*l**2. Let j(m) = 11*m**2 + 6*m + 6. Let c(t) = 10*t**2 + 5*t + 5. Let x(w) = 6*c(w) - 5*j(w). Give x(r(s)).
320*s**4
Let l(u) = 2*u. Let j(p) = p**2 + 2*p. Let y(c) = 2*c. Let z = -1 - -3. Let i(v) = z*y(v) - 2*j(v). What is l(i(s))?
-4*s**2
Let w(u) be the second derivative of -17*u**3/6 - 33*u. Let n(i) = 4*i**2. Determine w(n(d)).
-68*d**2
Let k(i) = i - i + 4*i. Let c(n) be the first derivative of -n**3/3 - 13. Give k(c(j)).
-4*j**2
Let j(k) = 107*k + 3. Let q(d) = 29*d. Determine q(j(f)).
3103*f + 87
Let j(u) = -3*u - 2. Let x(q) = -q - 34*q + 5*q - 15 - 6. Let d(l) = -21*j(l) + 2*x(l). Let o(t) = -2*t**2. Calculate d(o(i)).
-6*i**2
Let t(p) be the third derivative of p**4/6 + 14*p**2. Let l(o) = o**2. Calculate l(t(s)).
16*s**2
Let h(d) = d + 39. Let g(l) = 10*l. Give g(h(k)).
10*k + 390
Let w(a) = 3*a**2. Let d(i) = -133*i. Let c(j) = -7*j. Let l(o) = -77*c(o) + 4*d(o). Give l(w(h)).
21*h**2
Let x(f) = -1002*f - 1. Let s(i) = 2*i. What is s(x(p))?
-2004*p - 2
Let j(o) = -11*o. Let x(z) = -8*z**2. What is j(x(f))?
88*f**2
Suppose -4*o = 9 - 21. Let p(c) = -8 + 11 - 3 + o*c. Let h(s) = 3*s + 5. Let n(a) = 4*a + 6. Let g(l) = -6*h(l) + 5*n(l). What is g(p(w))?
6*w
Let k(j) = -15*j. Let v(r) = 2. Let z(n) = n + 7. Let o(d) = -7*v(d) + 2*z(d). Calculate k(o(m)).
-30*m
Let g(y) = 3*y**2 - 2*y + 2. Let n(f) = -10*f**2 + 7*f - 7. Let w(c) = 21*g(c) + 6*n(c). Let k(t) = -4*t. What is k(w(o))?
-12*o**2
Let k(x) = 2*x. Let n(f) be the second derivative of f**3/6 - 2*f. Let v(g) = 7*g. Let l(u) = -4*n(u) + v(u). Calculate l(k(c)).
6*c
Let t(f) be the second derivative of f**5/60 - f**3/6 + 3*f. Let n(h) be the second derivative of t(h). Let j(p) = 3*p + 0*p - 6*p. What is n(j(c))?
-6*c
Let p(y) = -y. Let u(t) = t**3 - 4*t**2 - 4*t - 3. Let n be u(5). Let m(w) = -w + 13. Let o be m(9). Let k(f) = 0*f**2 + 2*f**n - o*f**2. Calculate k(p(j)).
-2*j**2
Let q(p) = -13*p**2 + 250 - 250. Let s(o) = 2*o. Calculate q(s(v)).
-52*v**2
Let g(h) be the first derivative of -4*h**3/3 + 19. Let w(j) = 8*j + 5. Let n(v) = 7*v + 4. Let t(p) = -5*n(p) + 4*w(p). What is t(g(i))?
12*i**2
Let c(p) = p**2. Let n(g) = -7*g. Let t(q) = 34*q. Let h(b) = 33*n(b) + 6*t(b). What is h(c(i))?
-27*i**2
Let r(u) = 9*u**2 - 5*u - 5. Let x(n) = 14*n**2 - 8*n - 8. Let t(b) = -8*r(b) + 5*x(b). Let g(l) = -2*l**2 - 9*l + 9*l. Calculate t(g(j)).
-8*j**4
Let h(i) = 10*i**2. Let f(c) = -7*c + 6. Let g(q) = 15*q - 13. Let z(a) = -13*f(a) - 6*g(a). Give h(z(b)).
10*b**2
Let p(r) = -2. Let u(b) = -5*b - 6. Let z(w) = 3*p(w) - u(w). Let x(a) = -2*a**2. Give z(x(n)).
-10*n**2
Let f(a) = 2*a**2. Let s(t) = -11*t**2 - 5*t + 5. Let g(n) = 16*n**2 + 8*n - 8. Let q(w) = -5*g(w) - 8*s(w). What is f(q(v))?
128*v**4
Let u(y) = 4*y**2. Let r(q) = 674*q**2. Give u(r(f)).
1817104*f**4
Let g(j) = -j. Let t(h) = -8996*h. Calculate g(t(c)).
8996*c
Let c(x) = 2*x. Let k(d) be the third derivative of 5*d**2 + 0*d**3 + 0 + 0*d**4 + 0*d + 1/60*d**5. Calculate k(c(z)).
4*z**2
Let i(n) be the third derivative of -n**7/5040 + n**5/12 - n**2. Let x(r) be the third derivative of i(r). Let j(w) = 4*w. Give j(x(d)).
-4*d
Let g = -79 - -132. Let k(a) = -g + 2*a**2 + 53. Let i(m) be the second derivative of m**4/12 + m. What is k(i(p))?
2*p**4
Let b(n) = -12*n**2 - 15*n**2 + 26*n**2. Let k(g) be the first derivative of g**2 - 2 + g**2 + 3. Calculate b(k(q)).
-16*q**2
Let t(c) = 3*c**2. Let m(y) be the third derivative of -y**5/30 - y**2 - 32. Give t(m(q)).
12*q**4
Let j(v) = 162*v**2. Let z(p) = 5*p. What is j(z(d))?
4050*d**2
Let m(g) = 6*g + 1. Let r(k) = k**2 + 94. Calculate r(m(w)).
36*w**2 + 12*w + 95
Let h(k) = -6*k**2 - 4*k - 4. Let q(d) = 7*d**2 + 5*d + 5. Let l(r) = -5*h(r) - 4*q(r). Let f(z) = 9*z**2. Determine l(f(v)).
162*v**4
Let t(i) = 75*i. Let q(y) = -5*y. Calculate t(q(g)).
-375*g
Let p(k) = 3*k**2 + 4. Let i(z) = 2*z**2 + 3. Let c(w) = 4*i(w) - 3*p(w). Let o(v) = -10*v + 1 + 0 - 1. Calculate c(o(f)).
-100*f**2
Let p(l) = -7155*l**2. Let t(w) = -2*w**2. What is t(p(n))?
-102388050*n**4
Let p(c) be the second derivative of 0 + 3*c + 0*c**3 - 1/2*c**2 - 1/12*c**4. Let l(d) be the first derivative of p(d). Let z(r) = 2*r**2. Give l(z(b)).
-4*b**2
Let y(x) = -4327*x - 2. Let i(d) = -3*d**2. Determine i(y(q)).
-56168787*q**2 - 51924*q - 12
Let p(b) = -5*b. Let z(g) = 474*g. What is z(p(x))?
-2370*x
Let m(n) = -n. Let o(v) = 165 - 165 - 2*v. Give m(o(r)).
2*r
Let m(g) = -17*g. Let q(b) = -7*b. Give q(m(r)).
119*r
Let i(x) = x**2 - x - 1. Let k(t) = -2*t - 2. Let a(l) = 2*i(l) - k(l). Let z(n) = -5*n. Let h(q) = -119*q. Let r(s) = 2*h(s) - 49*z(s). Give r(a(u)).
14*u**2
Let i(x) = 186*x. Let o(q) = -2*q. Determine i(o(b)).
-372*b
Let c(x) = -x**2 + 5482. Let p(a) = a. Give p(c(k)).
-k**2 + 5482
Let j(d) = 2*d + 6*d + 2*d - 7*d. Let y(m) = 16*m**2. Give j(y(z)).
48*z**2
Let y(p) = p. Let g(u) be the third derivative of 3*u**5/20 + 6*u**2. Calculate y(g(m)).
9*m**2
Let u(i) = i + 3. Let b be u(-8). Let p = b - -7. Let q(x) = -3*x**p - 3*x**2 + 4*x**2. Let m(z) = 2*z**2. Give m(q(r)).
8*r**4
Let h(z) be the second derivative of -z**4/4 - 2*z. Let k(q) = 1. Let c(l) = -3*l**2 + 9. Let f(j) = -c(j) + 9*k(j). Calculate h(f(w)).
-27*w**4
Let h(j) = 3*j**2 + 7*j + 7. Let y(s) = -3*s**2 - 6*s - 6. Let t(n) = -6*h(n) - 7*y(n). Let p(g) = 52 + 2*g**2 - 52. What is t(p(d))?
12*d**4
Let c(f) = -5*f**2 - 17*f - 17. Let t(n) = 2*n**2 + 6*n + 6. Let m(a) = 6*c(a) + 17*t(a). Let h(d) = -2*d**2. What is m(h(g))?
16*g**4
Let m(x) = -2*x - 40. Let n(g) = g. Determine m(n(w)).
-2*w - 40
Let y(w) = -3*w. Let p(s) be the first derivative of s**5/60 - 2*s**3/3 + 1. Let d(u) be the third derivative of p(u). What is y(d(j))?
-6*j
Let l(h) = -10 + 6 + 4 - 2*h. Let u(b) = 3*b. Determine u(l(v)).
-6*v
Let f(v) = 2*v. Let o(b) = 1. Let u(n) = -7*n + 1. Let h(t) = o(t) - u(t). What is f(h(l))?
14*l
Let r(b) = 4*b**2. Let c(i) = 63*i**2. Let j(a) = 4*c(a) - 66*r(a). Let g(p) be the first derivative of p**2/2 + 2. Calculate j(g(f)).
-12*f**2
Let o(l) = -5*l**2. Let f(r) be the third derivative of r**5/20 + 11*r**2. Calculate f(o(a)).
75*a**4
Let j(m) = -2*m + 10. Let w(s) = -18*s. Determine j(w(x)).
36*x + 10
Let s(p) = 24*p**2. Let y(x) = -13*x. What is y(s(k))?
-312*k**2
Let w(a) = 2*a. Let l(j) = j**3 + 3*j**2 - 2*j - 2. Let n be l(-3). Suppose 3*h - n = 2. Let k(r) = -6 + 2*r**2 + 6 + 2*r**h. Calculate w(k(f)).
8*f**2
Let j(v
|
{
"pile_set_name": "DM Mathematics"
}
|
9*v + 50*v)*(-4*v**2 - 2*v**2 + 2*v**2) + 0*v**3 + 0*v**3 - 2*v**3 + (-3*v**2 + 3*v**2 - v**3)*(3 + 1 - 1) + 2*v**3 - 2*v**3 - 6*v**3.
-63*v**3
Expand (2 + 2 - 3)*(2*b + 2*b**2 - 2*b)*(-2754*b**2 - 2001*b**2 + 3887*b**2).
-1736*b**4
Expand (-15*f**4 + 13*f**4 - 41*f**4)*(-4*f - f + 2*f - 5*f + 4*f - f + f - 2*f - f + (-4 - f + 4)*(3 + 2 - 6) - 3*f - f + 3*f).
301*f**5
Expand (-5*b + 2*b + 0*b)*((-1 + 4 - 2)*(2*b - 2*b - b) + 465 - 465 + 71*b - 46 - 6*b + 46 + (b - 3 + 3)*(1 + 2 - 4)).
-189*b**2
Expand (-10*i**4 + 5*i**4 + 11*i**4)*(-2*i + 1 - 1 + 2*i + 1 - 1 + (4*i - 3*i - 2*i)*(-3 + 1 + 1) + (0*i - 5*i + 2*i)*(45 - 149 - 19)).
2220*i**5
Expand (6*h - 2*h - 3*h)*(1 - 1 - 2) + 5 + 6*h - 2 - 2 - 17*h - 132*h - 481*h.
-626*h + 1
Expand 2*m**3 + 2*m**2 + m**3 - 4*m**3 + (-233 + 233 - 18*m**2)*(10*m + m - m).
-181*m**3 + 2*m**2
Expand (1 - 1 + 1)*(-3*o - 1 + 1)*(0*o + 2*o - o) + 0*o**2 - 4*o**2 + 3*o**2 + (3*o - 5*o - 2*o)*(o - 2*o + 5*o) - 4 + 4 + 2*o**2.
-18*o**2
Expand -1 + 20*p + 0 - 13*p + (-354 - 33*p + 354)*(3 - 3 - 2) + 2 - 2 - 2*p.
71*p - 1
Expand (-c**2 - c + c)*(-2*c + 2*c**3 + 2*c) + 1183*c**5 - 1189*c**5 + 5*c + c.
-8*c**5 + 6*c
Expand (-16*f**2 + f**3 + 7*f**2 + 11*f**2 - 43 + 4*f**4)*(f + 2 - 2).
4*f**5 + f**4 + 2*f**3 - 43*f
Expand (0*m - 4*m + 2*m)*(-3*m - 4*m + 2*m) + (-4 + 3 + 2)*(165*m - 165*m - 15*m**2).
-5*m**2
Expand ((-2 + 0 + 1)*(-1 - 2 + 1) + 6 - 2 - 3 - 2 - 2 - 1 + 3 + 7 - 6 + 0 - 2 + 3 + 4 - 1 - 5 + (1 + 0 + 1)*(-3 - 3 + 5))*(-7*i + 2*i - 4*i).
9*i
Expand (0*d + 2*d + 0*d)*(-23 - 34 + 690*d - 691*d).
-2*d**2 - 114*d
Expand (-2*n + 4*n + 3*n)*(12*n - 52*n - 258*n).
-1490*n**2
Expand (3*f - f - 4*f + (3 - 5 + 0)*(-1 + 1 - 3*f) - 42*f + 193*f + 207*f)*(-8*f + 3*f - 5*f).
-3620*f**2
Expand ((21*n - 8*n - 4*n)*(1 + 2 - 2 + (6 - 1 - 3)*(1 + 1 + 0) + (-2 + 0 - 3)*(1 - 1 - 1) + 3 - 1 + 0) - 19*n + 55*n + 58*n)*(-n**3 + n**3 + n**3).
202*n**4
Expand (2*w - 2*w + w)*(1736 + 2*w + 221 - 3*w + 365).
-w**2 + 2322*w
Expand ((-l + 2*l - 3*l)*(3 - 3 - 4) + l + 2*l + 0*l)*(-3 - 1114*l**2 - 5 + 1109*l**2).
-55*l**3 - 88*l
Expand (3*r**2 - 2*r**2 - 4*r**2)*(-3*r + 3*r + 8*r**2) + (112*r**2 - 112*r**2 - 92*r**3)*(-6*r + 4*r + 4*r) + 2*r**4 - 1 + 1.
-206*r**4
Expand (-4*g**3 + 2*g**3 + 0*g**3)*(1 + 2 - 1)*(27 + 8 + 10)*(-1 + 3*g**2 + 1 + 5*g**2 - g**2 + 0*g**2 + (2*g - 2*g + 2*g)*(2*g - 3*g + 2*g)).
-1620*g**5
Expand (-5 + 1 + 5)*((0*p**3 + 11*p**3 - p**3)*(-2*p**2 + p**2 - 3*p**2) + 33*p**5 + 119*p**2 - 119*p**2).
-7*p**5
Expand (-2*m**3 - 2*m**3 + 2*m**3)*(1 + 5 - 5)*(1 + 4 - 2)*(13 - 16 - 6)*(-155 + 261 - 140).
-1836*m**3
Expand (-1 + 2 - 3)*(s**3 - s**3 + s**3) - 98859*s**3 + 39 + 55582*s**3 + 40 - 79 - 70119*s**3.
-113398*s**3
Expand (-3*w**2 - 29999*w + w**2 + 30361*w)*(3 - 4 + 4).
-6*w**2 + 1086*w
Expand (-4 - 5 + 5)*(-47*u + 36*u - 152*u)*(1 + 0 + 0).
652*u
Expand (-11*b - 11*b**3 + 11*b)*(2*b + 94076 - 94076 - 23*b**2).
253*b**5 - 22*b**4
Expand (-51*t + 30 - 30)*(2 + 2*t**4 - 2 + 4*t + 2*t**4 - 4*t + (5*t**3 - t**3 - 5*t**3)*(0 + 0 - 2*t) + 2*t**4 + t**4 - 2*t**4 - 25*t**4 + 78*t**3 - 78*t**3).
918*t**5
Expand (-1 - i**2 + 1)*(-1184*i**2 - i - 1183*i**2 + 2376*i**2 + 232*i**3).
-232*i**5 - 9*i**4 + i**3
Expand (13791*d**2 - 13804*d**2 - 3*d + 11*d)*(26*d - 26*d + 15*d**2).
-195*d**4 + 120*d**3
Expand 304894 - 5704*d**2 - 304894 + (-2*d + 0*d + d)*(2*d - 2 + 2).
-5706*d**2
Expand (-5 + 3 + 1 - 20 - 1 + 6 + (18 - 65 - 55)*(-3 + 2 + 3))*(5*o - 2*o - 2*o).
-220*o
Expand (41*u + 1226*u**4 - 41*u - 5420*u**4)*(-2 + 4 + 0).
-8388*u**4
Expand (-b + 5*b + 3*b)*(36 - 74 + 10)*(3*b + 2*b - 3*b)*(-4 + 0 + 5).
-392*b**2
Expand (10*a**2 - a**2 + 6*a**2)*((4 + 5*a - 4)*((-1 + 3 - 3)*(-a + 3*a - 3*a) + a - a - 2*a) - 22*a**2 + 23*a**2 + 48*a - 4*a).
-60*a**4 + 660*a**3
Expand (-59 + 251 + 167*x**2 - 192 + 88*x)*(0 + 3 - 1).
334*x**2 + 176*x
Expand (2932 - 504 + 133230*x - 133231*x)*(-3 + 3 - 1).
x - 2428
Expand (1 - 7 + 2)*(-14*u**2 + 5*u - 5*u) - u**2 - 1 + 4 - 63*u + 59*u + (-5 + 4 + 3)*(-3 - 2*u**2 + 3).
51*u**2 - 4*u + 3
Expand (2*v - 2*v - 4*v**2)*(-v**2 + 3*v**2 + 4*v**2) + 113*v**4 + 129*v**4 - 160*v**4.
58*v**4
Expand (-18*t**2 + 78*t + 17*t**2 + 20*t)*(t**2 - 5*t**2 + 2*t**2).
2*t**4 - 196*t**3
Expand (-1 - 3*i + 1)*(2*i**3 + 2*i - 2*i) + 594*i**4 - 144*i**4 + 350*i**4 - 2*i**4 + 3*i**3 - 3*i**3 - 1.
792*i**4 - 1
Expand (3*p**2 + 0*p**2 - 2*p**2)*(-2*p**3 + p**3 + 3*p**3) + 850*p + 90*p**5 - 21*p**5 - 841*p.
71*p**5 + 9*p
Expand (0 - 3 + 4)*(-3130 + 4444 - 3905)*(2*s - 5*s + 2*s).
2591*s
Expand (-797*c**2 + 149*c**2 - 796*c**2)*(-c + 0*c + 2*c) - 4*c**3 + 4*c**2 + 4*c**3 + c**3.
-1443*c**3 + 4*c**2
Expand 49*b**4 - 49*b**4 - 33*b**4 + (0*b**3 - 5*b**3 + b**3)*(4*b + 4*b - 5*b) + (-1 + 2*b**2 + 1)*(-b**2 + 0*b**2 + 0*b**2) + 4*b**4 - 5*b**4 - 4*b**4.
-52*b**4
Expand -1 + 1 - i**2 + (3 - 3 + 2*i)*(3*i + 3*i - 4*i) + 0*i + 2*i**2 + 0*i + 2078846*i + 10334*i**2 - 2078846*i.
10339*i**2
Expand (30 + 25*x - 30)*(0 + 0 - 1)*(-3 - 3 + 5) + 1470*x - 2069*x + 2009*x.
1435*x
Expand -179*b + 179*b + 6*b**2 + (b + 0*b + b)*(-42 + 18*b + 42) + 0*b**2 - 2*b - 4*b**2 + 3*b**2 + (b + 2*b - b)*(b + 0*b + b) + 1 - 1 + b**2.
46*b**2 - 2*b
Expand (513 - o - 168*o**2 - 513)*(-o + o + 2*o)*(2*o**2 - 2*o + 2*o).
-672*o**5 - 4*o**4
Expand (2*q - 2*q - 2*q)*(-146910 + 146910 + 285*q).
-570*q**2
Expand (9*p**3 - p**3 - 3*p**3)*(10 - 36 - 63)*(-5 + 1 + 2)*(4 + 0 - 2).
1780*p**3
Expand -25*r**2 + 11*r**2 - 9*r**2 + (243 - 25*r - 243)*(1 + 2*r - 1).
-73*r**2
Expand (-208*g**3 - 81*g**3 - 30*g**3)*(-g + 0*g - g)*(3 - 9 - 8).
-8932*g**4
Expand (10*a**2 + 3*a**2 - 2*a**2)*(2*a - 2*a + a)*(-18 - 10 + 20 - a).
-11*a**4 - 88*a**3
Expand (-r + 5*r - 2*r)*(4 - 4 + 2 + (3 - 2 - 2)*(2 - 6 + 2) + 1 + 6 - 5)*(7*r + 1 - 9*r - 5*r).
-84*r**2 + 12*r
Expand 2*b + 2*b + 2*b + (5*b + 5*b - 3*b)*(4 - 5 + 2) - 69*b - 57*b + 50*b.
-63*b
Expand -2626*c - 3375*c - 1348*c + (-1 + 3 + 0)*(-5 + 5 + 2*c) + 2*c + 5 - 5 + 0*c + 3*c - c.
-7341*c
Expand (4*q - 3*q + 8*q)*(-6 + 4 + 3)*(-776 - 14 - 395).
-10665*q
Expand (494*r + 2901*r + 206 - 206 + 2308*r)*(1 - 3 + 0).
-11406*r
Expand -a**5 - 3 + 3 + 0*a**5 - 19*a**3 + a**5 + 14*a**3 + 3 - a**5 - 3 + (-1293 - 137*a**2 + 1293)*(-3*a**2 + 3*a**2 + a**3).
-138*a**5 - 5*a**3
Expand (-3*x - 3*x + 4*x)*(9174*x - 4188*x + 6859*x).
-23690*x**2
Expand (6 - 5 - 16)*(2*l**2 - 4*l**2 + 0*l**2) + 2*l**2 - 5*l**2 - 2*l**2 - 3*l**2.
22*l**2
Expand -h**3 + 5*h**3 - 2*h**3 + (-h - 2*h + h)*(2*h**2 - 3*h**2 - h**2) - 2252*h**3 + 1129*h**3 - 49*h + h**2 + 1119*h**3.
2*h**3 + h**2 - 49*h
Expand (-3224 + 3224 + 438*j)*(0*j**2 + 0*j**2 - 3*j**2).
-1314*j**3
Expand (3*f - 3*f - 5*f)*(9*f - 9*f + 8*f)*(-2 - 1 + 1)*(-3 - 2 - 16)*(2 - 1 + 2).
-5040*f**2
Expand ((y**2 + y**2 + 0*y**2)*(4 - 3 - 2) - 3*y**2 - y**2 + 5*y**2)*(20 - 27 - y**3 - 15).
y**5 + 22*y**2
Expand (-i**4 + 3*i**3 - 3*i**3)*(-85 + 4*i + 25 - 16*i + 34).
12*i**5 + 26*i**4
Expand (-306 + 643 - n - 76)*(2*n + 2 - 2)*(5 - 4 - 3).
4*n**2 - 1044*n
Expand (g - 2*g**2 - g)*(27350*g - 2 - 6512*g + 2).
-41676*g**3
Expand (-6*m + m - 4*m)*(-2 - 1 + 5)*(22*m + 5*m - 17*m).
-180*m**2
Expand (-3*z**3 + 3*z**3 + 4*z**4)*(-5 + 4 + 2)*(-2177*z - 2 + 2103*z + 0).
-296*z**5 - 8*z**4
Expand (-3 + 5 + 0)*(17673*z + 7399481 - 7399481) - z + 2*z + 0*z + (-1 + 1 - z)*(-3 + 4 - 3) + 2*z - 2*z - z.
35348*z
Expand (-64 + 12623*j - 65 - 67 + 196)*(-3*j**2 + 6*j**2 + 0*j**2).
37869*j**3
Expand s**5 + 0*s**5 - 3*s**5 + (s**4 - 11*s**4 - s**4)*(969 - 969 + 85*s).
-937*s**5
Expand (2 + 1 - 1 + 5)*(2959*o**4 - 2249*o**4 - 2*o**2 - o**2).
4970*o**4 - 21*o**2
Expand (4 - 5 + 6)*(3 + 2 - 3)*(-o + 13*o + 24*o) + (-3 + 2 + 4)*(4*o - 4*o - o).
357*o
Expand (8*a + 2*a + 17*a)*(-2*a - 2*a + 5*a)*(-1 - 3 + 3).
-27*a**2
Expand (-53 - 3*c**3 + 53)*(-85*c + 0 + 248*c - 1) + 4*c**4 - 2*c**4 - 4*c**4.
-491*c**4 + 3*c**3
Expand (37*d**3 - 83*d**3 - 51*d**3)*(-13*d**2 + 6*d**2 + 3*d**2) - d**5 - 4*d + 4*d.
387*d**5
Expand (1 + 0 + 1)*(-2172 - 10*r**2 + 2172 - 41*r).
-20*r**2 - 82*r
Expand (24110 + 142*s - 24110)*(s**2 + 2*s**2 - s**2 + (4*s**2 - 5*s**2 - 3*s**2)*(1 + 0 - 4) + s**2 - 2*s**2 + 0*s**2).
1846*s**3
Expand (u**4 - u**4 + 2*u**4)*(3*u + u - 2*u) + 123*u**5 + 195*u**5 - 395*u**5.
-73*u**5
Expand 9*q**3 - 6*q**3 + 15*q**3 + (4 - q - 4)*(-3*q**2
|
{
"pile_set_name": "DM Mathematics"
}
|
s - s - 10 = 0, -36 = -x + 2*s. Calculate the highest common divisor of 80 and x.
16
Let f = 36 - 3. Suppose -4*o - 3*a - 32 = 0, -3*a - 19 = 3*o + 2. Let g = f + o. What is the greatest common factor of 33 and g?
11
Let y(a) = -a**3 + 11*a**2 + a + 5. Let s be y(11). Calculate the highest common factor of 112 and s.
16
Let n(q) = q**3 + 2*q**2 - 2*q - 1. Let m be n(-2). Let t(i) = -i**2 + 5*i - 3. Let r be t(m). Let w = r + -1. Calculate the highest common factor of w and 16.
2
Let w(p) = -p**3 + 3*p**2 + p - 3. Let s be w(3). Suppose s = -q + 2 - 0. What is the greatest common factor of 4 and q?
2
Suppose -11 = -5*c + 9. Calculate the highest common divisor of 20 and c.
4
Suppose 3*z + 2*w - 59 - 9 = 0, 2*z - 4*w - 72 = 0. Calculate the highest common factor of 104 and z.
26
Let p(s) = -2*s - 5. Let t be p(-4). Let f(l) = l**3 - l**2 - 4*l + 3. Let n be f(t). Let b be 6/n - 100/(-3). Calculate the highest common divisor of 51 and b.
17
Suppose -13*i + 1666 = -1194. Calculate the greatest common divisor of i and 20.
20
Suppose -f - 4 = -0*f, 4*a + 2*f = 32. Calculate the highest common factor of 70 and a.
10
Let j be (-1 - (3 - 3)) + 3. Suppose -j*g + 7 = 1. What is the greatest common divisor of 9 and g?
3
Let j = -20 - -69. Suppose 66 + 49 = -5*k. Let i = -16 - k. Calculate the greatest common divisor of j and i.
7
Let t(a) = -a**2 - 4*a + 3. Let c be t(-4). Calculate the greatest common divisor of c and 9.
3
Let b be 2/(-10)*-5 + 23 + 1. Calculate the highest common divisor of b and 225.
25
Suppose 2*r - 409 = -133. Suppose 0 = 3*h - r + 48. Calculate the greatest common factor of h and 6.
6
Let h(x) = x**3 - 6*x**2 - 6*x + 6. Suppose 0*y + 14 = 2*y. Let d be h(y). Calculate the highest common factor of d and 104.
13
Suppose d + 1 = a - 0*a, -3*d = 3*a - 3. Suppose d = -2*x - 2*x + 3*u - 36, 0 = -2*x + 3*u - 12. Let f = 56 + x. What is the highest common factor of 11 and f?
11
Let s(a) = a**2 - a. Let x be s(3). Let k be -2*(4 - 69/6). Calculate the greatest common divisor of k and x.
3
Let c = -8 + 17. Let a = 14 - c. What is the highest common factor of a and 45?
5
Suppose 19 = 4*a + a + f, 0 = -3*a + 4*f + 16. Let q be (-4)/(-6) + 138/9. What is the highest common divisor of a and q?
4
Let p(s) = 24*s + 1. Suppose 8 + 4 = 3*q. Let y = 6 - q. Let c be p(y). What is the greatest common divisor of c and 7?
7
Let v(x) = -1 - 2 + 2*x - 3 + 4. Let q be v(4). Suppose 2*d - 16 = -5*c, -q*d = -d - 5*c - 40. Calculate the greatest common divisor of 12 and d.
4
Suppose 0*i - 7 = s - 4*i, -s + 2*i - 1 = 0. Suppose s*j - 25 = -4*m + 16, 4*j - 20 = 0. What is the greatest common factor of m and 6?
2
Let n(d) = 2*d + 2. Let y be n(3). Let u = 16 - y. Suppose 0*q = -3*w - 2*q + 40, 0 = -4*w - 4*q + 56. Calculate the highest common divisor of u and w.
4
Let g(z) = -2*z - 6. Let c be g(-6). Suppose 11*p - 145 - 581 = 0. What is the greatest common divisor of c and p?
6
Let f(c) = -c**2 - 16*c - 10. Let a be f(-15). Calculate the greatest common factor of a and 1.
1
Suppose -t + 3*h - 1 = 1, 2*h = -3*t + 16. Calculate the greatest common divisor of 28 and t.
4
Let l(j) = -20*j - 5. Let p(s) = 10*s + 2. Let i(b) = -2*l(b) - 5*p(b). Let h be i(-3). Calculate the highest common factor of 12 and h.
6
Let v(s) = -s**2 + 24. Let q be v(0). Calculate the highest common factor of 3 and q.
3
Suppose -3*t + 4*x + 756 = 0, -t = -3*x - 69 - 188. What is the highest common divisor of t and 8?
8
Let c = 21 - 13. Let w = 41 + 31. Calculate the highest common factor of w and c.
8
Let u(s) = -6 - 8*s + 2*s + 2*s. Let z be u(-4). Let o = 13 - z. Calculate the greatest common divisor of o and 24.
3
Let v(f) = f**2 - 3. Let z be v(4). Let g = z + -6. Calculate the greatest common factor of 7 and g.
7
Let p = -52 + 117. Suppose -4*o + 325 = -9*o. Let v = o + 91. Calculate the highest common factor of v and p.
13
Suppose b - 3*j = 2*j + 19, 4*j = 5*b - 53. What is the greatest common divisor of b and 72?
9
Suppose 0 = -v + 5*v. Let q be (20/3 - v)*3. Let k be -9*(0 + (-10)/3). Calculate the highest common divisor of k and q.
10
Suppose 2*z - 12 = -0*z. Suppose z*k - 315 = k. Suppose 4*o - 38 + 2 = 0. Calculate the greatest common factor of k and o.
9
Let w be (-4 + 22)*2/2. Calculate the greatest common factor of 12 and w.
6
Suppose -3*t = -0*z - z - 13, -5*t - 3*z = -45. What is the greatest common factor of 4 and t?
2
Let h be (-175)/(-63) + 4/18. Let x be 9*(3 + -2 + h). Calculate the highest common divisor of x and 4.
4
Let y = -13 - -28. Calculate the greatest common divisor of y and 3.
3
Let q = -18 + 33. Calculate the greatest common divisor of 105 and q.
15
Suppose 2*p + k + 3 = 0, -p = k + 7 - 3. Let q = 63 - 61. What is the greatest common divisor of q and p?
1
Suppose c + 20 - 100 = 0. What is the greatest common factor of c and 32?
16
Suppose -4*m - 2*o + 848 = 2*o, 0 = -3*m - 2*o + 634. What is the greatest common factor of m and 30?
30
Let d = 449 + -269. Let k be 1*(1 + 79) - 1. Suppose 0*v - 59 = -3*v + c, k = 4*v - c. Calculate the highest common factor of v and d.
20
Suppose -23 = -5*i - 2*z, -i + z + 7 = 2*z. Let a be ((-2)/i)/(1/(-75)). Calculate the highest common factor of a and 10.
10
Suppose -3*j = 42 - 156. Calculate the highest common factor of 19 and j.
19
Let h(a) be the third derivative of -a**5/60 + 5*a**4/24 - a**3/3 - 4*a**2. Let t be h(3). Let m = t - 2. Calculate the highest common factor of m and 10.
2
Let x(w) = -w**3 + 19. Let z be x(0). Suppose -3*h + 5 = -z. Let b = 73 - 57. Calculate the highest common factor of h and b.
8
Let w(z) = 4*z**2 + 3*z + 3. Let g be w(-2). Let t = 219 - -22. Suppose -4*i - 198 = -2*x, -t = -3*x - 2*i + 24. What is the greatest common factor of g and x?
13
Let j(m) = 2*m - 10. Let t be j(8). Suppose t*z - z = -260. Let l be 2/(-8) + z/(-16). What is the highest common divisor of l and 9?
3
Let s(x) = x**3 - 18*x**2 + 15*x + 42. Let t be s(17). What is the highest common factor of 4 and t?
4
Let k(f) = -f**3 + 5*f**2 - 3*f - 2. Suppose -4*x + 3*u = -1, 3*x - 37 + 10 = -3*u. Let o be k(x). What is the highest common divisor of 1 and o?
1
Suppose 3*y = 5*q + 45, -7*q = -2*y - 3*q + 32. Let f be 46/4 + 5/y. Calculate the greatest common factor of 84 and f.
12
Let y be (40/(-32))/(2/16). Let a(x) = x**2 + 10*x. Let h be a(y). Suppose 3*l - 320 = -2*z - 69, 4*z + 8 = h. Calculate the greatest common factor of 17 and l.
17
Let d be 8/(-28) + 5/(-7). Let j be (-7 + 2)/(1*d). Calculate the greatest common divisor of j and 10.
5
Suppose -9 = z - 51. What is the highest common divisor of 21 and z?
21
Let n be (-234)/195*20/(-2). What is the greatest common divisor of 6 and n?
6
Let g(a) = a**3 + 8*a**2 - 14. Let n be g(-7). What is the greatest common divisor of 385 and n?
35
Let q(r) = r + 1. Suppose 5*n - 16 = -6. Let s be q(n). Suppose -4 - 44 = -s*a. What is the greatest common divisor of 4 and a?
4
Suppose -3*j + 27 - 6 = 0. Calculate the greatest common divisor of 77 and j.
7
Suppose 7*p - 4*p + 4*a + 6 = 0, -3*p + 3 = a. What is the highest common factor of 22 and p?
2
Let w(k) = 25*k - 10. Let l be (-1)/((-1)/(10*-1)). Let c = -3 - l. Let s be w(c). What is the highest common factor of 15 and s?
15
Let d(m) = -m**3 + 8*m**2 + m - 2. Let j be d(8). Calculate the greatest common divisor of j and 2.
2
Let s = -17 - -22. Calculate the highest common factor of 5 and s.
5
Let r be 13/3 - (-2)/(-6). Suppose r*d = d + 90. What is the greatest common divisor of d and 210?
30
Suppose 0 = -3*s - s + 28. Let x = 13 - s. What is the greatest common factor of 6 and x?
6
Let o be -4*1/(-6)*3. Let v be 1 - (0/(-1) + 2). Let n be -1 - v - (-28)/2. What is the greatest common divisor of o and n?
2
Let y = -783 - -791. Let i be (-1 + 2 - -1) + -3. Let d be -1 - 1 - i - -17. Calculate the highest common divisor of y and d.
8
Let v = 122 - 77. Calculate the greatest common divisor of v and 5.
5
Let b be (-512)/(-20) + 2/5. What is the highest common factor of b and 13?
13
Suppose 4*o + 2*v = -3*v + 95, 3*o = 2*v + 100. Let x be -6*(-3)/(3/5). Suppose -r + x = r. What is the highest common divisor of r and o?
15
Suppose -32 = -3*x - x. Let n be 214/10 - x/20. Suppose -4*y + 56 = -0*y. Calculate the highest common factor of y and n
|
{
"pile_set_name": "DM Mathematics"
}
|
How many minutes are there between 2:17 PM and 4:27 PM?
130
What is 42 minutes before 6:36 PM?
5:54 PM
What is 680 minutes before 6:32 PM?
7:12 AM
What is 528 minutes after 1:52 AM?
10:40 AM
How many minutes are there between 4:49 AM and 2:05 PM?
556
How many minutes are there between 2:54 PM and 7:49 PM?
295
What is 485 minutes after 7:46 AM?
3:51 PM
What is 481 minutes after 4:08 PM?
12:09 AM
What is 402 minutes before 10:47 PM?
4:05 PM
What is 264 minutes after 11:27 AM?
3:51 PM
How many minutes are there between 7:47 PM and 9:37 PM?
110
How many minutes are there between 3:34 AM and 3:22 PM?
708
What is 636 minutes before 7:12 AM?
8:36 PM
What is 573 minutes before 9:34 PM?
12:01 PM
How many minutes are there between 8:15 PM and 10:40 PM?
145
What is 646 minutes after 9:12 PM?
7:58 AM
What is 398 minutes before 11:01 AM?
4:23 AM
What is 253 minutes after 11:33 PM?
3:46 AM
What is 137 minutes before 2:15 PM?
11:58 AM
How many minutes are there between 6:13 AM and 8:49 AM?
156
How many minutes are there between 7:22 AM and 5:52 PM?
630
What is 145 minutes after 12:27 AM?
2:52 AM
How many minutes are there between 5:52 AM and 12:36 PM?
404
How many minutes are there between 5:19 PM and 12:53 AM?
454
What is 572 minutes before 5:12 PM?
7:40 AM
What is 583 minutes after 12:07 AM?
9:50 AM
How many minutes are there between 6:57 AM and 6:06 PM?
669
How many minutes are there between 12:06 PM and 11:33 PM?
687
How many minutes are there between 1:57 AM and 3:14 AM?
77
What is 60 minutes before 5:18 PM?
4:18 PM
What is 490 minutes before 5:23 PM?
9:13 AM
What is 104 minutes before 7:47 AM?
6:03 AM
What is 482 minutes before 11:12 PM?
3:10 PM
How many minutes are there between 12:47 PM and 4:10 PM?
203
What is 305 minutes before 2:31 AM?
9:26 PM
What is 342 minutes before 2:54 PM?
9:12 AM
How many minutes are there between 6:24 AM and 5:28 PM?
664
What is 63 minutes before 3:39 AM?
2:36 AM
How many minutes are there between 10:45 PM and 12:26 AM?
101
What is 719 minutes after 3:06 AM?
3:05 PM
What is 517 minutes before 3:44 AM?
7:07 PM
What is 458 minutes after 10:19 PM?
5:57 AM
How many minutes are there between 8:57 AM and 1:50 PM?
293
What is 406 minutes before 7:42 AM?
12:56 AM
What is 664 minutes after 5:19 AM?
4:23 PM
How many minutes are there between 3:41 PM and 6:56 PM?
195
What is 430 minutes after 8:06 AM?
3:16 PM
What is 715 minutes before 4:07 PM?
4:12 AM
How many minutes are there between 1:00 PM and 3:16 PM?
136
How many minutes are there between 6:31 PM and 9:46 PM?
195
How many minutes are there between 3:03 AM and 4:44 AM?
101
What is 265 minutes after 7:10 PM?
11:35 PM
What is 88 minutes after 12:10 PM?
1:38 PM
What is 270 minutes after 4:49 PM?
9:19 PM
What is 156 minutes before 2:00 PM?
11:24 AM
How many minutes are there between 8:02 AM and 2:27 PM?
385
What is 373 minutes before 7:18 PM?
1:05 PM
What is 42 minutes before 11:34 PM?
10:52 PM
How many minutes are there between 9:53 AM and 2:51 PM?
298
How many minutes are there between 11:02 AM and 12:19 PM?
77
How many minutes are there between 11:31 AM and 7:23 PM?
472
How many minutes are there between 5:26 AM and 5:28 AM?
2
What is 171 minutes after 9:01 AM?
11:52 AM
What is 624 minutes before 3:24 AM?
5:00 PM
What is 710 minutes after 3:48 PM?
3:38 AM
How many minutes are there between 3:28 PM and 5:38 PM?
130
What is 404 minutes before 11:40 PM?
4:56 PM
What is 630 minutes before 8:29 AM?
9:59 PM
How many minutes are there between 7:15 PM and 11:49 PM?
274
How many minutes are there between 1:19 PM and 2:07 PM?
48
What is 149 minutes after 9:15 PM?
11:44 PM
What is 207 minutes before 3:13 AM?
11:46 PM
What is 250 minutes after 7:09 AM?
11:19 AM
What is 305 minutes before 10:54 PM?
5:49 PM
How many minutes are there between 8:33 PM and 4:56 AM?
503
What is 254 minutes before 5:00 AM?
12:46 AM
How many minutes are there between 5:06 AM and 7:45 AM?
159
How many minutes are there between 1:20 AM and 5:17 AM?
237
How many minutes are there between 5:04 PM and 6:33 PM?
89
How many minutes are there between 6:34 PM and 6:28 AM?
714
What is 639 minutes before 1:29 PM?
2:50 AM
How many minutes are there between 7:16 AM and 8:19 AM?
63
What is 462 minutes before 11:48 PM?
4:06 PM
What is 592 minutes before 2:45 AM?
4:53 PM
What is 328 minutes before 12:21 PM?
6:53 AM
What is 194 minutes after 3:50 PM?
7:04 PM
How many minutes are there between 1:33 AM and 1:12 PM?
699
How many minutes are there between 7:24 AM and 2:22 PM?
418
How many minutes are there between 10:29 PM and 5:37 AM?
428
What is 204 minutes after 11:27 AM?
2:51 PM
What is 117 minutes before 7:26 PM?
5:29 PM
What is 10 minutes before 12:48 AM?
12:38 AM
What is 697 minutes before 9:57 PM?
10:20 AM
What is 503 minutes after 10:56 AM?
7:19 PM
How many minutes are there between 4:45 AM and 10:12 AM?
327
What is 556 minutes before 8:17 PM?
11:01 AM
What is 82 minutes before 7:18 PM?
5:56 PM
How many minutes are there between 2:17 AM and 1:57 PM?
700
How many minutes are there between 11:37 PM and 11:27 AM?
710
How many minutes are there between 8:41 PM and 8:09 AM?
688
What is 676 minutes after 11:37 AM?
10:53 PM
How many minutes are there between 8:37 AM and 3:37 PM?
420
What is 12 minutes before 10:05 PM?
9:53 PM
How many minutes are there between 2:57 AM and 12:14 PM?
557
How many minutes are there between 2:13 PM and 3:20 PM?
67
What is 97 minutes after 3:11 PM?
4:48 PM
How many minutes are there between 8:11 PM and 2:39 AM?
388
How many minutes are there between 2:19 AM and 1:29 PM?
670
What is 111 minutes after 3:23 PM?
5:14 PM
How many minutes are there between 9:26 PM and 9:03 AM?
697
What is 524 minutes before 1:14 AM?
4:30 PM
What is 111 minutes before 2:56 AM?
1:05 AM
What is 283 minutes before 11:18 PM?
6:35 PM
What is 539 minutes after 8:41 PM?
5:40 AM
How many minutes are there between 6:26 PM and 2:09 AM?
463
How many minutes are there between 3:13 PM and 5:16 PM?
123
What is 371 minutes before 3:03 AM?
8:52 PM
What is 552 minutes before 9:36 AM?
12:24 AM
What is 481 minutes after 2:57 PM?
10:58 PM
How many minutes are there between 12:26 AM and 5:03 AM?
277
How many minutes are there between 8:45 PM and 2:26 AM?
341
What is 406 minutes after 5:30 AM?
12:16 PM
What is 634 minutes before 10:33 PM?
11:59 AM
What is 172 minutes before 9:03 PM?
6:11 PM
How many minutes are there between 8:29 PM and 11:33 PM?
184
How many minutes are there between 7:54 AM and 6:04 PM?
610
What is 646 minutes after 12:53 AM?
11:39 AM
How many minutes are there between 1:56 PM and 3:53 PM?
117
What is 676 minutes after 12:27 PM?
11:43 PM
How many minutes are there between 7:25 PM and 3:13 AM?
468
What is 217 minutes before 12:10 AM?
8:33 PM
What is 428 minutes after 3:21 AM?
10:29 AM
What is 195 minutes before 5:38 PM?
2:23 PM
How many minutes are there between 11:37 AM and 8:32 PM?
535
What is 76 minutes after 7:36 PM?
8:52 PM
How many minutes are there between 2:25 AM and 12:45 PM?
620
How many minutes are there between 4:50 PM and 9:01 PM?
251
What is 136 minutes before 10:55 PM?
8:39 PM
What is 67 minutes after 11:12 PM?
12:19 AM
What is 320 minutes after 6:52 PM?
12:12 AM
What is 647 minutes before 4:02 PM?
5:15 AM
How many minutes are there between 7:15 PM and 10:29 PM?
194
How many minutes are there between 6:15 AM and 5:12 PM?
657
What is 424 minutes after 2:13 AM?
9:17 AM
What is 98 minutes after 2:41 PM?
4:19 PM
How many minutes are there between 4:45 AM and 4:59 AM?
14
What is 144 minutes after 7:30 AM?
9:54 AM
What is 289 minutes after 7:09 PM?
11:58 PM
How many minutes are there between 8:04 PM and 7:13 AM?
669
How many minutes are there between 1:40 AM and 11:58 AM?
618
What is 546 minutes before 10:46 PM?
1:40 PM
How many minutes are there between 8:24 PM and 1:44 AM?
320
What is 321 minutes before 9:35 AM?
4:14 AM
What is 175 minutes before 3:48 PM?
12:53 PM
How many minutes are there between 8:35 PM and 8:24 AM?
709
How many minutes are there between 2:58 PM and 8:30 PM?
332
How many minutes are there between 9:38 PM and 6:00 AM?
502
What is 423 minutes after 5:24 PM?
12:27 AM
What is 304 minutes before 10:29 AM?
5:25 AM
How many minutes are there between 5:24 AM and 3:13 PM?
589
How many minutes are there be
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4 - 6. What is r(5)?
5
Suppose -v = 2*v + 2*b + 15, b = -3*v - 18. Let z = 10 + v. Let m(x) = -3 + x + 3 - 1 + 0*x. What is m(z)?
2
Let o be (-48)/(-27) + 6/27. Let y(x) = -x**3 - 3*x**2 - x. Let k be y(-3). Let l(m) = -m**3 + 0 + 0*m**o - k*m**2 + 3. Calculate l(-3).
3
Let a(l) = l**2 + 4*l - 4. Let v(y) = y**2 - 7*y + 1. Suppose -10 = 2*q - 4*q. Let i be (-2)/q - (-64)/10. Let r be v(i). What is a(r)?
1
Let z = -89 - -86. Let x(s) = -s**3 - 4*s**2 - 2*s + 1. Calculate x(z).
-2
Let h(k) = -2*k**2 + 6 - 8 - k**2 - k + 2*k**2 + 2*k**3. Give h(2).
8
Suppose 0*i = 2*i - 5*h - 5, -2*h = -4*i + 2. Let b = 0 - i. Let c(m) = 0 + m - 1 + b. Give c(-2).
-3
Let s(i) be the second derivative of i**4/12 - i**3/3 - i**2/2 - i. Suppose 4*m - 5*q - 12 - 14 = 0, -5*q - 2 = 2*m. Determine s(m).
7
Let c(b) = b - 7. Let f be c(9). Let o(y) = -y**2 + 2*y + 1. Calculate o(f).
1
Let j(c) be the second derivative of -c**3/6 - 3*c**2/2 - 2*c. Let q(n) = 4*n + 10. Let r(b) = 7*j(b) + 2*q(b). What is r(1)?
0
Let f be (3/(3/4))/2. Let z(w) be the first derivative of 4 - 2 - 4 + 2*w + w**f. What is z(-4)?
-6
Let d(g) = g**2 - g + 4. Let c be d(0). Suppose c*k - 18 + 6 = 0. Let r(p) = -3 + k - 7*p. Calculate r(-1).
7
Let v(z) = z**3 + 3*z**2 - 4*z - 2. Let k(f) = f**3 - 9*f**2 - 4. Let p be k(9). What is v(p)?
-2
Let k(u) = -2*u**3 - 5*u**2 - 2*u + 3. Suppose -4*v = -2*i - 6, 4*v - 27 + 12 = 5*i. Give k(i).
18
Let u(d) = d**2. Let b(r) = r**3 + r**2 + 11. Let i(w) = -b(w) + 2*u(w). What is i(0)?
-11
Let p(v) = -7*v**3 + 4*v**2 - 2*v. Let f(y) = -y**3. Let h(c) = 6*f(c) - p(c). Let d = -51 - -54. Give h(d).
-3
Suppose -4*a + 9 = -a, -2*p - 2*a + 4 = 0. Let i(g) = 5*g**2 - 11*g**2 + 0*g**2 + g**2. What is i(p)?
-5
Let t(j) be the third derivative of -j**6/120 + j**5/6 - j**4/3 - 7*j**3/6 + 10*j**2. Calculate t(9).
2
Suppose 4*p - 2*c + 6 = -0*c, -p - 3*c = 5. Let n be -1 - (p - (-2 - -2)). Let y(g) = 14*g - 1. Calculate y(n).
13
Let k(m) = -m**2 - 6*m. Suppose 0*p = -2*p + 16. Let y = p - 18. Let q be (5/(y/(-6)))/(-1). Determine k(q).
9
Let h(s) = s**3 + s**2 + 4. Let m(c) = -c**3 - 2*c**2 + c - 5. Let k(i) = 3*h(i) + 2*m(i). Suppose 0 = -3*g - 3*w - 27 + 6, 12 = -g - 2*w. Calculate k(g).
-14
Let x(s) = -6*s + 3. Let p(j) = -j - 1. Let h(z) = 5*p(z) - x(z). Let i = 14 - 14. Calculate h(i).
-8
Suppose 0 = -b + 3. Suppose 4*l + b = 23. Let g(c) = 0 + 2 + 15*c - 16*c. Calculate g(l).
-3
Suppose -4*c = -2*c - 12. Suppose c*y - 3*y = -12. Let u(o) be the third derivative of o**4/12 + o**3/3 + 5*o**2. Determine u(y).
-6
Let a(c) = -4*c**2 + 5*c - 6. Let i(r) = -r**2 + 2*r. Let b(m) = -a(m) + 3*i(m). Calculate b(0).
6
Let o = -5 - -7. Let k(g) = 10 - o*g + 9*g + 5. Let n(i) = -20*i - 44. Let v(u) = -17*k(u) - 6*n(u). What is v(-4)?
5
Let z(f) be the second derivative of -5/2*f**2 - 5*f + 0 - 1/20*f**5 - 7/12*f**4 - f**3. Calculate z(-6).
-5
Let g = -1 + 1. Suppose 17 = 5*j - k, -5*j - k - 9 = -22. Let t(s) = 5*s + 3*s**2 - 2*s**2 + s**j + 4 - 2*s**3 - 6*s. Calculate t(g).
4
Let y(x) = -x. Let a be y(-3). Let s(q) = 5*q**2 + 10*q + 6. Let c(o) = 4*o**2 + 9*o + 6. Let u(v) = a*s(v) - 4*c(v). Give u(-4).
2
Let v(o) = 6*o + 5. Let w(a) = -7*a - 6. Let k(q) = 4*v(q) + 3*w(q). Let b(u) = -u**2 + 1. Let y be b(-2). What is k(y)?
-7
Let w(y) = -y**2 + 3*y. Let j be w(3). Let c(r) = -r**2 + r - 4. What is c(j)?
-4
Let h(n) = n**2 + 5*n + 3. Let f be h(-6). Let a(s) = -3*s + f*s - s**2 + 1 - 6. Determine a(4).
3
Let a(c) = c**3 - 6*c**2 + 5*c + 6. Suppose -4*r + 6 = -r. Suppose b + 4*b = 4*w - 55, 5*w - 3*b - 85 = 0. Suppose r*g + 2*g = w. Determine a(g).
6
Let n = 6 - 0. Let s(p) = -7*p**3 - 5*p**2 - 2*p + 4. Let v(q) = 6*q**3 + 5*q**2 + 2*q - 3. Let a(f) = n*v(f) + 5*s(f). Give a(-4).
10
Let f be 1 + -2 - (4 + -7). Let k be (9/6)/((-1)/f). Let q(i) = i - 3. Calculate q(k).
-6
Let b(j) be the third derivative of -j**6/120 - j**5/12 - j**4/12 + 2*j**3/3 - j**2. Suppose t - 2*t = -2*m - 9, -4*t = m. Calculate b(m).
-4
Let y(l) = -3*l**2 - 14*l + 10. Let p(t) = -t**2 - 5*t + 3. Let a(c) = 7*p(c) - 2*y(c). Give a(-3).
13
Let l(r) = -5*r**3 + 3*r - 1 - 1 + 3*r + r**2. Let t(y) = y**3 - y. Let q(h) = -l(h) - 4*t(h). Determine q(2).
2
Let y(z) = 3*z**2 - z. Let h(m) = m**2 - 1. Let u(i) = 4*h(i) - y(i). Suppose 0 = -3*t - 2*w + 6*w + 29, 0 = 3*t + w - 4. Determine u(t).
8
Let a(q) = q - q**3 + 2 - 5 - 3*q**2 + 2*q**2 + 0. What is a(0)?
-3
Let q(i) = -4*i - 16. Let d be q(-5). Let z(w) be the second derivative of w**5/20 - w**4/6 - 5*w**3/6 - w**2/2 + 2*w. What is z(d)?
11
Let z(w) = -w**2 - 8*w - 6. Let v(d) = -4*d**2 - 33*d - 25. Let x(f) = 2*v(f) - 9*z(f). Let y(h) = 4*h**2 + 24*h + 16. Let a(g) = 9*x(g) - 2*y(g). Give a(-4).
-4
Let t be (1 + 1)*(-1)/(-2 - -4). Let z(d) = -18*d**2 + d. Calculate z(t).
-19
Let c(m) = 4*m + 1. Let z(t) = -12*t - 3. Let a(g) = -11*c(g) - 4*z(g). What is a(5)?
21
Let i(y) = 2*y**2 + 5*y - 1. Let a(n) = 5*n + 1. Suppose 3*j - 20 - 10 = 0. Suppose 17 = -5*t - 3*w, -3*t + t = -3*w - j. Let f be a(t). Give i(f).
11
Let f(a) = -a**2 - 2*a + 1. Let g be f(-2). Let x(t) = 4*t**3 + 2*t - 3. Let b(s) = 4*s**3 + s - 2. Let q(w) = 3*b(w) - 2*x(w). Give q(g).
3
Let q(s) = s**2 - 2*s - 3. Let b(o) = 4*o**3 - o**2 + 2*o - 1. Let x be b(1). Let r be q(x). Let j(i) = i**2 - 4*i - 6. Calculate j(r).
-1
Let t(j) = 3*j**2 + j + 1. Suppose 6*i = 3*i - 6. Calculate t(i).
11
Let f(w) = w**2 - 7*w + 6. Suppose -4*s + 28 = -o - 0*o, -34 = -3*s + 4*o. Calculate f(s).
0
Let q(z) = z**3 - 2*z**2 - z + 1. Suppose 4*o + d = 4 + 5, 4*o - 5*d = 3. What is q(o)?
-1
Let q(o) = 2*o - 3. Let u(m) = 9*m - 15. Let n(r) = -11*q(r) + 2*u(r). Calculate n(2).
-5
Let r(f) = 11*f**2 + 14*f**2 + f**3 + 3 + 0*f**3 - 22*f**2. Give r(-3).
3
Let u = -4 + 6. Let y(i) = 3*i**2 - 3*i + 1. Let s(a) = a**2 + a - 1. Let j(c) = u*s(c) - y(c). Calculate j(3).
3
Let h(b) = 0 + 2 + 4*b**2 - 6*b + b**2 - b**3. Let s(u) = -7*u + 5. Let v(t) = 13*t - 9. Let r(x) = -11*s(x) - 6*v(x). Let w be r(-5). Determine h(w).
-6
Let i(n) = -4*n**3 - 10*n**2 + 9*n + 16. Let v(t) = -3*t**3 - 10*t**2 + 10*t + 15. Let g(o) = 2*i(o) - 3*v(o). Determine g(-11).
-2
Let g be -1*1*(0 - 0). Suppose 0 = y - 4*y - 3. Let t(b) = b**2 - b. Let o(k) = k**2 - 3*k + 4. Let j(a) = y*o(a) + 2*t(a). What is j(g)?
-4
Let r(i) = -i**3 - 8*i**2 + 8*i - 13. Suppose 2*q = -14 - 4. Give r(q).
-4
Let m = -3/11 - -20/33. Let x(w) be the third derivative of -m*w**3 + 0*w - 3*w**2 - 1/24*w**4 + 0. Calculate x(-2).
0
Suppose 9*m + 11 = g + 6*m, 0 = -5*g - 3*m - 17. Let q(l) = -4*l**2 - l - 2. What is q(g)?
-5
Let s(x) = -2*x - 6. Let z be s(0). Let m(t) = t**3 + 6*t**2 - t - 4. What is m(z)?
2
Let a(q) = 2*q**2 + 3*q - 5. Let v(m) = 5*m**2 + 9*m - 14. Let i(g) = 11*a(g) - 4*v(g). Calculate i(3).
10
Let l(i) be the first derivative of -1 - 1/3*i**3 + i + 1/4*i**4 + 1/20*i**5 + 1/2*i**2. Let h(y) be the first derivative of l(y). Calculate h(-4).
-7
Let c(l) = -l**2 + 1. Let m(u) = -2*u + 13. Let d be m(7). Let r(t) = -4*t**2 - 4*t. Let w(b) = d*r(b) + 3*c(b). What is w(-2)?
-1
Let m be 2/(-10) - (-153)/(-85). Let p(f) = f**3 + f. Give p(m).
-10
Let l(q) = 2*q**2 - 4*q - 3. Let y(w) = -w**2 + 3*w + 2. Let d(o) = 2*l(o) + 3*y(o). Give d(1).
2
Let n(p) = p + 6 + 5*p**2 + 13*p**3 - 8*p**3 - 2*p - 6*p**3. Determine n(5).
1
Let q(x) = -x**2 + 7*x + 4. Let u(r) = 3*r - 5. Let v be u(4). What is q(v)?
4
Let h(j) = -3*j**2 - 3*j + 7. Let m(w) = -2*w**2 - 2*w + 4. Let a(b) = 3*h(b) - 5*m(b). Give a(2).
7
Let c(j) be the second derivative of -j**5/20 - j**4/3 - j**3/3 - j**2/2 + 13*j. Give c(-4).
7
Let k(z) = -z**2 - 10*z - 7. Suppose u - 9*l = -4*l - 15, 2*u = -l - 8. Give k(u).
18
Let w(z) = -z - 1. Let i = 12 + -13. Give w(i).
0
Let k = -2 - -2. Let f(r) = r + k*r + 3*r**3 - 2*r**3 + 4. Suppose 4*u = 3*u - 0*u. Give f(u).
4
Let f(j) = -j**2 + 3*j + 2. Let i(c) be the second derivative of -c**4/12 - 4*c**3/3 + 3*c**2/2 - c. Let k be i(-8). Let m = 8 - k. Determine f(m).
-8
Let o(u) = -u - 4. Let i be o(-9). Let a(j) = -2 - 2 - 2 - 8*j + i. Give a(1).
-9
Let b be (3/5)/(17/85). Let f(l) be the first derivative of l**2/2 - 1. Determine f(b).
3
Let u(z) = -2*z + 1. Suppose 3*p + 2*r + 12 = 7, 0 = 2*p + r + 2. Determine u(p).
-1
Let u(s) = s**3 - 3*s**2 + 2. Suppose 32 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
3 a factor of p?
False
Let y(h) = -h**2 + 5*h - 4. Let d be y(4). Suppose 3*m - 170 + 35 = d. Does 15 divide m?
True
Let q(m) = 9*m - 3. Let b be q(-3). Let c = 23 + 48. Let o = c + b. Is 14 a factor of o?
False
Let z(i) = -i**2 + 8*i - 9. Let t be z(6). Suppose 13 = 2*p - 5*h, -p = 2*p - t*h - 33. Is p a multiple of 4?
False
Let u = 3 + 2. Suppose -u*c + v + 99 = -117, -4*v = -4*c + 176. Is c a multiple of 18?
False
Let k = 6 - 3. Suppose k*x + 4*o = o + 9, -4*x - 28 = -4*o. Is (-176)/4*1/x a multiple of 11?
True
Let u(f) = f**2 - f. Let j(c) = c**2 + 0*c + 0 - 5*c**2 + 3*c - 4. Let b(a) = j(a) + 5*u(a). Is b(4) a multiple of 2?
True
Suppose 12 = -f - 5*z, -5*z + 1 - 7 = -2*f. Let n be f/5 - (-68)/20. Suppose 0*l + 39 = n*l. Is l a multiple of 5?
False
Let j(x) = -x**3 - 8*x**2 - 9*x. Let l = -5 + -2. Does 14 divide j(l)?
True
Is (-5656)/(-63) + (16/18)/4 a multiple of 13?
False
Let q(k) = -33*k + 9. Let c be q(7). Let y be c/(-8) - (-1)/4. Let a = y + 0. Is 12 a factor of a?
False
Let u(a) = 3*a - 4. Let j be (5 - 0)*(-2 + -3). Let k be (-2)/(-4) + j/(-10). Is u(k) even?
False
Suppose 0 = -m + 9 + 27. Is 5 a factor of m?
False
Let u(b) = -8*b. Is 10 a factor of u(-5)?
True
Let c = 6 - 4. Let d = -4 + c. Let u(a) = a**3 + 3*a**2 - 2. Is u(d) a multiple of 2?
True
Suppose -3*r + 14 = g - 6, 3*g - 5*r = -10. Suppose -4*n = -3*j - 71, 4*n = -0*n + g*j + 81. Is n a multiple of 14?
True
Suppose -5*w + 30 = 5. Let b be (-3)/3 - -13*w. Suppose 7*c - b = 3*c. Does 7 divide c?
False
Let d be (-2)/8 - (-21)/4. Suppose -d*n + 3*n = -68. Does 18 divide n?
False
Let z(g) = -5*g + 10. Let h = 7 - 14. Is z(h) a multiple of 7?
False
Does 9 divide ((-11)/(-2) - 4)*30?
True
Let g be (2 - 11)/((-3)/(-2)). Is (-50)/(-4) - 3/g a multiple of 13?
True
Suppose 0 = -k + 2*w + 134, -3*k + 0*w - 4*w + 452 = 0. Is 12 a factor of k?
True
Suppose -3*z + 6*z = 24. Let u be 1 - 1 - z/(-2). Suppose -c - 4*k = -11, u = -c - 2*k + 25. Is 12 a factor of c?
False
Let q be (-2)/(-3 - -1)*15. Suppose 89 = 4*h - q. Does 26 divide h?
True
Let f be 1 - 0 - 0/(-5). Let l(p) = 65*p**3 + p**2 + p - 1. Does 25 divide l(f)?
False
Let x(v) be the second derivative of -v**5/60 - 3*v**4/8 + v**3 - v**2 - v. Let c(k) be the first derivative of x(k). Does 21 divide c(-5)?
False
Suppose -5*p = 2*l + 3*l - 25, 0 = -3*p + 6. Let c(z) be the first derivative of 4*z**3/3 - 3*z**2/2 - z + 2. Is 9 a factor of c(l)?
False
Is (-3)/4*(-118 + -10) a multiple of 6?
True
Suppose 5*t - 400 = 5*x, 0*t = -t + 5*x + 68. Let v = t + -58. Is v a multiple of 9?
False
Suppose 5*v + 15 = -10. Suppose 0*z + 3*z - 39 = 3*p, 0 = 2*p + 6. Let r = z - v. Is r a multiple of 15?
True
Let d(l) be the second derivative of -l**3/6 - 3*l**2/2 + l. Let g be d(-8). Suppose g*i - 4 = 3*i. Is i a multiple of 2?
True
Suppose 3*x + 4*p - 1 - 3 = 0, 3*p + 26 = 5*x. Suppose x*l - l = 84. Is 14 a factor of l?
True
Let f be (-4)/14 + 80/(-14). Does 9 divide (4 - f)/(1/2)?
False
Suppose 2*r - 3*u - 8 = 0, 0*r - 4*u + 4 = r. Suppose 0 = r*q + q - 30. Does 2 divide q?
True
Let g(x) = 5*x**2 - 1. Let o be g(1). Suppose 0 = -o*j + j + 15. Suppose 14 = n - j*p, -4*n + 142 - 38 = 4*p. Is n a multiple of 12?
True
Suppose 3*p + 11 + 14 = r, -5*r + 125 = 4*p. Let f = 33 - r. Does 4 divide f?
True
Suppose -5*q + w + 4*w + 80 = 0, 4*q = 5*w + 69. Is 4 a factor of q + -5 + 4/(-2)?
True
Let l = -111 - -426. Suppose 6*m = m + l. Does 21 divide m?
True
Let h = 43 - 23. Does 20 divide h?
True
Let o = 83 - 31. Let u be -1 - 0 - (-3 - 2). Suppose 3*s = 5*n - o, n + 3*s - 12 = u*s. Does 4 divide n?
True
Suppose -2*r + 3 - 5 = 0. Does 20 divide r/(2/4) - -23?
False
Let i = -132 - -84. Let x = i + 92. Is x a multiple of 11?
True
Suppose -4*o - 16 = 5*n - 3, 3*o - 5*n - 34 = 0. Suppose o*j + h = 2*h + 58, j - 4*h = 12. Is 20 a factor of j?
True
Is 20 a factor of (45 - 4) + -3 + 2?
True
Suppose 81 - 12 = 3*x - 3*g, 122 = 5*x + 2*g. Is x a multiple of 6?
True
Let d(z) = -z**2 + 15*z + 11. Let g(r) = -r**2 + 16*r + 12. Let f(l) = 3*d(l) - 2*g(l). Let j be f(10). Let t = 63 - j. Does 12 divide t?
True
Suppose j - 3*j + 48 = 0. Does 12 divide j?
True
Suppose 12*d = 7*d + 280. Is 16 a factor of d?
False
Suppose 13*p - 8*p = 3*a - 46, 5*a + 5*p - 10 = 0. Is 3 a factor of a?
False
Suppose -l + 0 - 3 = 0. Let n = 16 - l. Does 8 divide n?
False
Suppose 3 = -p + 17. Suppose 5*w - m - p = 6, -5*w = 2*m - 5. Is 2 a factor of w?
False
Let n(p) = -p**3 + p - p**2 + 21 - 2*p + 0*p. Is 7 a factor of n(0)?
True
Suppose 0 = 4*n - 7*n. Is (42/15 - n)*10 a multiple of 14?
True
Let u(t) be the first derivative of t**4/4 + 4*t**3/3 + t**2/2 + 4*t - 5. Let r = -6 + 3. Is 5 a factor of u(r)?
True
Let w = -11 + 22. Let l(h) = h - 1. Let f be l(-6). Let c = f + w. Is c a multiple of 4?
True
Suppose -2*f - 3 = -5*f. Let q(g) = 28*g**2 + g - 2. Is q(f) a multiple of 27?
True
Let s(g) = -5*g - 1. Let l = -14 - -8. Is s(l) a multiple of 29?
True
Let p = 1 + -1. Suppose -3*u - u + 3*x = -142, p = u - x - 36. Is u a multiple of 17?
True
Let x be (-1)/1 - (-5 - -2). Suppose -x*q = -7*q - 125. Let t = 73 + q. Is t a multiple of 20?
False
Suppose 3*r - 4*t = -2*t + 5, 0 = -3*r + 3*t. Suppose -4*g - 5*v = 25, 0 = -r*g - 2*v - 2*v - 29. Let q(w) = -8*w - 3. Is 15 a factor of q(g)?
False
Let j(g) = -g**2 + 11*g - 10. Let t be j(8). Suppose -5*i + 4 - t = 0, 0 = 3*y + 5*i - 113. Is y a multiple of 21?
False
Let k(f) = 65*f**2 + 1. Let l be k(-1). Suppose 5*a - 39 = l. Is 21 a factor of a?
True
Suppose -y + 34 = -72. Is 14 a factor of (y/(-8))/((-1)/4)?
False
Suppose 4*c = 7*c - 15. Suppose 4*w = 0, -5*w + 270 = c*x + 65. Is x a multiple of 11?
False
Let r(d) = 18*d**2 + 2*d - 1. Let a be r(1). Suppose 0 = -w + 2*w - a. Is w a multiple of 19?
True
Let k(b) be the third derivative of b**4/2 - b**3/6 + 3*b**2. Is 11 a factor of k(1)?
True
Let q(y) = 13*y - 2. Is q(3) a multiple of 23?
False
Suppose 2*c + t = 6*t - 9, -4*c - 33 = 5*t. Let h(u) = -u**3 - 6*u**2 - 5*u - 8. Does 20 divide h(c)?
False
Suppose 0 = 3*f - 3*p - 186, 17 = 4*p + 5. Does 14 divide 1*1/(-1) + f?
False
Let p(f) = -4*f**2 - 6 + 31 + 3*f**2 + f. Does 25 divide p(0)?
True
Let y(n) = n**2 - 5*n + 6. Let j be y(4). Suppose m = j + 3. Suppose r + 28 = 5*v - 7, -3*r + 15 = m*v. Does 3 divide v?
True
Is 4/6 + (-2535)/(-45) a multiple of 19?
True
Let l(y) = y**2 - 3*y + 2. Let t be l(5). Let i = t - 24. Let o = i + 32. Does 7 divide o?
False
Let l(x) = -x**2 - 10*x - 3. Is l(-7) a multiple of 5?
False
Suppose -h = -r - 7, -4*h - r + 4*r + 26 = 0. Let x(w) be the third derivative of w**4/8 - w**3 + w**2. Does 4 divide x(h)?
False
Suppose -5*t + 0*y + 804 = -3*y, -2*y - 482 = -3*t. Does 18 divide t?
True
Let g(h) = 21*h**2 - h - 2. Let t be g(2). Suppose 3*w - 7*w = -t. Is w a multiple of 10?
True
Let s(o) = 4*o**2. Let k be s(-1). Let z = k + 19. Is z a multiple of 23?
True
Let u(j) = -j - 15. Let d be u(-7). Let m(v) = -v - 5. Is 2 a factor of m(d)?
False
Let j = 18 + -8. Is 18 a factor of 194/10 + (-4)/j?
False
Suppose -3*n - 92 = t + 3*t, -n + 3*t - 48 = 0. Is (-6)/(-8) - 2493/n a multiple of 14?
True
Let q = -38 + 62. Suppose q = c + c. Is 7 a factor of c?
False
Suppose -7 - 8 = -3*v. Suppose v*c + 15 = 0, 8 = 4*d + 4*c - 12. Is d even?
True
Suppose -b + 3*b + 4*s = 14, 0 = -3*b - 4*s + 21. Let r(a) = 3 + a**2 + 0 - 3*a + 1. Is r(b) a multiple of 16?
True
Let w(m) = m**2 + 11*m - 2. Does 7 divide w(-13)?
False
Let c = -26 + 39. Is 6 a factor of c?
False
Suppose -3*l + 1 + 5 = 0. Is 4 a factor of l/1 - 12/(-2)?
True
Let m(p) = -p**2 - 5*p - 4. Let t be m(-5). Let n = 10 + t. Suppose y - n*y = -100. Is y a multiple of 8?
False
Let q = 85 - 49. Does 18 divide q?
True
Suppose 5*c - 85 = -0*c. Let b = c - -7. Is 12 a factor of b?
True
Suppose 29 = 3*k - 46. Does 25 divide k?
True
Let f be (-762)/(-10) + (-1)/5. Let u = 7 + 1. Suppose -3*p = 4*q - f, -2*p + 4*p - u = 0. Is 6 a factor of q?
False
Let m be (3/(-2))/(3/(-80)). Suppose -f = 5 - m. Does 13 divide f?
False
Suppose 48 = -2*u - 0*u. Let s be ((-104)/6)/((-2)/6). Let q = u + s. Does 14 divide q?
True
Suppose 4*a - 20 = -a. Let i(d) = -17*d + 1. Let c be i(-2). Suppose -3*u = -c - a. Does 7 divide u?
False
Suppose 4*w - 2*k - 152 = 0, 5*k = 4*k - 4. Is w a multiple of 18?
True
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
et y = -4235 - -4235.1. What is the nearest to -2 in 1, y, 4/5?
y
Let z be 162/(-810) + (-22)/140*-4. What is the nearest to -2/5 in 7, z, 2, -4?
z
Let h = -26.25 + 24.5. Let o = -6.75 - h. Let l(f) = -f**2 - 3*f - 1. Let x be l(-2). What is the closest to x in -1/8, 0.3, o?
0.3
Let g = -102.9 - -61.6. Let a = g - -77.5. Let v = 36 - a. What is the nearest to v in -3/13, 1/4, 0.1?
-3/13
Let t = -0.232117 + 0.332117. Let f = -0.3 + -0.2. What is the nearest to t in 3/5, -3/5, f, -3?
3/5
Suppose -3*l + 4*o - 20 = 0, -69*l = -66*l + o - 5. Which is the closest to l? (a) 2 (b) -2/9 (c) -3/19 (d) -0.3
c
Let y = 3536.3 - 3535.9. What is the closest to -5 in y, 2/7, 16, 8?
2/7
Let o = 24/215 - -167/430. Let i = -4/25 + 26/475. Let q be 32/(-24)*3/2. Which is the closest to o? (a) 2 (b) q (c) i
c
Let v be (-2)/7 + (-18)/(-14). Let k = -1000417/5 - -200083. Which is the nearest to -2/7? (a) 0.5 (b) v (c) k (d) -0.1
c
Let i be ((-4)/(-12))/(5/(-135)) - -10. What is the nearest to i in 2/9, 34, -3?
2/9
Let g be (((-32)/(-108))/(-4))/(3/8595). Let p = 212 + g. Let y = -133.1 - -133. Which is the nearest to p? (a) 0.3 (b) -2/3 (c) y
c
Let w = 2515 + -2514.5. Which is the nearest to -0.25? (a) w (b) -2/7 (c) 1/4 (d) -5
b
Let n be 296/24 + -11 + (-26)/6. Let d = -0.18 - 0.02. Which is the closest to -2? (a) 0.2 (b) d (c) n
c
Let f = 11/252 + 13/63. Which is the closest to -0.5? (a) 4 (b) -0.2 (c) f (d) -4/17
d
Let g = 30253 + -30266. What is the nearest to 0 in 3, -15, -2/17, g?
-2/17
Let v = -17.6 + -97.4. Let n = -116 - v. Which is the nearest to -1/2? (a) -0.1 (b) -0.3 (c) n
b
Let x = 0 - -0.1. Let k = -25 - -24. Let j = -8955 - -134323/15. What is the nearest to x in -13, k, j?
j
Let x = -5940 - -5940.1. What is the nearest to x in -5, 0, -12, 5?
0
Let h be (-57)/(-133)*((-210)/(-81))/5. Which is the closest to 0.1? (a) h (b) -0.283 (c) 1/5 (d) -4
c
Let c = 439 + -444. Let f = -11.1 - 0.9. Let z = -12.07 - f. What is the closest to 0.2 in -1/3, z, c?
z
Let q = -3/2 - -5/6. Let s = -2368.3 + 2368. Which is the nearest to q? (a) s (b) 2/5 (c) 0.5
a
Let m = 0.15 + -11.65. Let l = 11 + m. Let x be (-4)/(-66) - (-58)/132. What is the closest to 1/4 in l, x, -0.4?
x
Let j = 9 - 5. Suppose -3 = -j*m + 3*m. Suppose -2*d = 4*f + 8, f - 2*d + 6 = 9. Which is the nearest to f? (a) -0.7 (b) m (c) 0.3
a
Let y(s) = 5*s**3 - 9*s**2 + 2*s - 10. Let r be y(2). Which is the closest to 7? (a) r (b) 0.5 (c) 143
b
Let t be -1*4 - (-180)/50. Let w be 58/12 + (0 + 2 - 6). What is the nearest to t in -13, w, 2?
w
Let p = 3025 + -3028. Let q = -2609/18 - -145. Let v be 0/1 + (-4)/(-10). Which is the closest to q? (a) -0.4 (b) v (c) p
b
Let o = 4333.8 - 4334. Let x = -6.7 - -7. What is the closest to -1/3 in -0.03, o, x?
o
Let b = -406069.0847 - -406016. Let l = -0.0153 + b. Let v = -53 - l. What is the closest to -2/5 in v, -0.5, -5?
-0.5
Suppose 9*j - 180 = -14*j - 13*j. What is the closest to 27 in -4, -2/3, j, 2/15?
j
Let j(r) = r**2 - 61*r + 280. Let c be j(56). What is the closest to -0.1 in 0.3, 1.4, c?
c
Suppose 2*k - 7*k = 2*g - 13, 0 = 2*g - 2*k - 6. Let q be -3 + 3 - (-1)/g. Let x = -12.5 - -12.7. Which is the closest to x? (a) -0.4 (b) q (c) -3
b
Let f = 82/3 + -1552/57. Which is the closest to 0.25? (a) 1 (b) -2/7 (c) f (d) 0.3
d
Let h = -66.9 - -67. Let w = -325 - -320. What is the nearest to h in w, -1, 3?
-1
Suppose 3*z + 3*a - 17 = -5, 6 = 2*a. Let m = 325 + -324.6. Let l = -0.5755 - -0.0755. What is the closest to l in z, -0.3, m?
-0.3
Let s be (-4)/(-14) + 8 + 257/7. Suppose 0 = -32*g + s*g. Let t = 0.1 + -0.8. Which is the nearest to 0? (a) t (b) 4 (c) g
c
Let f = 8254/7 + -41403/35. Which is the nearest to 1.2? (a) 2 (b) 5 (c) f
a
Let n = 10 - 5. Suppose 3*z - 2*f = 10, -3*z - 5*f - 25 = -7*z. What is the closest to -5/3 in z, 0.1, n?
z
Let h = 136 - 52. Suppose -269 = -5*y - h. Suppose 3*p + 22 = y. Which is the closest to -2? (a) -1 (b) -7 (c) p
a
Let g = 8258 + -8255. What is the closest to -0.1 in g, 0, -12?
0
Let p = -1448.67 - -1457. Let c = p + -6.43. What is the nearest to 2/15 in 2, c, 2/7?
2/7
Let o = 11 - 6. Let d = -14953.0383 + 14954. Let w = d - -0.0383. Which is the closest to w? (a) 0.03 (b) -4/3 (c) o
a
Let i = 137.2 - 137.3. Let m(k) = k**2 + k - 5. Let y be m(0). Which is the nearest to 21? (a) -0.2 (b) i (c) y
b
Let y = -8 - -5. Suppose 3*m + 43 = -5*r - 24, -4*r - 20 = -6*m. Which is the closest to 0? (a) 0.1 (b) m (c) y
a
Suppose -18 + 6 = 4*p. Let i = -2.1 + 2. Let x = 5.176248 + -0.176248. What is the nearest to i in x, p, -0.4?
-0.4
Let s = 973.2 - 973. Suppose -3*w - 5*v = -12, 5*v + 6 = -w + 20. Let t = -25 - -25.1. What is the closest to -0.1 in w, t, s?
t
Let z = 0.2 + -0.3. Let v be (-685)/(-1370)*(-6)/9. What is the closest to z in -3, 0.1, v, -0.128?
-0.128
Let i be (192/(-140))/(-2) + ((-612)/(-63) - 10). What is the nearest to 1 in 2, -0.2, -0.438, i?
i
Let d = 3/44 + -103/220. Let j = 1163.5 - 552.3. Let u = 611 - j. What is the nearest to 1/2 in d, 0, u?
0
Let n = -21380 - -21611. Which is the closest to -0.1? (a) n (b) 4 (c) 6
b
Suppose -629 = -17*w - 2*w + 2*w. Which is the nearest to 0.4? (a) w (b) 0.3 (c) 2/19
b
Let d = -130760/111 + 3533/3. Let o = d - 416/185. Which is the closest to -1/3? (a) -2/7 (b) o (c) 1
a
Let u = -1707 - -1707.2. Let k = 4/25 - -72/175. What is the nearest to u in -6, k, -1?
k
Let v = 20288 + -20282. Which is the nearest to 1? (a) -0.4 (b) -14 (c) 2/13 (d) v
c
Let u = -14899 - -14905. Which is the closest to 0.1? (a) 137 (b) u (c) 2
c
Let y be 2/(-16) + 69/360 + -1. Let a = -268/255 - y. What is the nearest to -0.2 in 0.5, a, 11?
a
Let z = -0.013 + -0.117. Let p = 0.07 - z. Which is the nearest to p? (a) -43 (b) 1 (c) 0
c
Let m = 1548 - 1546.5. Which is the closest to -1? (a) 2 (b) -0.3 (c) m
b
Let f(g) = -g**3 - 10*g**2 + 58*g + 2. Let z be f(-14). Let k(s) = s**2 + 23*s - 72. Let o be k(z). What is the nearest to o in -2/9, -2, -0.2?
-0.2
Let l = 117383/4 - 29346. Suppose 1 = -2*f + 23. Which is the closest to 0.1? (a) 2 (b) l (c) f
b
Let m = 2 - -2. Let r(j) = j**2 - 2*j + 6. Let v be r(m). Let g = -2.0682502 - -0.0682502. What is the closest to g in 3/5, -3, v?
-3
Suppose 5*q = -11 - 4. Suppose -102 = 43*a - 41*a. Let n = -461/9 - a. What is the nearest to 1/4 in -2, n, q?
n
Let f = 7 + -52. Let j = f - -54. Let s = 9.3 - j. Which is the closest to 3/4? (a) -0.5 (b) s (c) 4
b
Let p = -3703 - -3807. Which is the closest to p? (a) 0.1 (b) -4 (c) 2 (d) -0.4
c
Let m = -96.775 - 0.225. Let j = 96 + m. Let u = 1.2 + -1.4. What is the nearest to u in -0.3, j, 0.4?
-0.3
Let q be (3/(-8))/((-81)/(-108))*0. Which is the nearest to q? (a) 5 (b) 2 (c) -0.015
c
Suppose 0 = 99*i + 382 + 14. What is the closest to 1 in 1, i, -1?
1
Let t be -6 - (2 + (-228)/30). What is the closest to t in 666, -3, 0?
0
Let w be 52/(-20) - (1/2 - 27/(-30)). Which is the nearest to 1? (a) 4 (b) -1/2 (c) 1/2 (d) w
c
Let g = 2896 - 2741.3. Let v = 155 - g. What is the nearest to -4 in -4, v, 2?
-4
Let l = -16185 - -16181. What is the closest to -5 in l, 1/20, 0?
l
Suppose -12*w - 3*j + 114 = -15*w, w - 4*j + 59 = 0. Which is the nearest to -17? (a) w (b) -0.1 (c) 1
a
Let i = 5294 - 5292. Which is the closest to -1? (a) 1 (b) 0.47 (c) i (d) -2/17
d
Let j(d) = -8*d + 277. Let x be j(40). Suppose n + 6*i - 2*i + 22 = 0, -153 = 4*n + 3*i. Let w = n - x. Which is the nearest to w? (a) 6 (b) 3 (c) 5
b
Let o be (-18)/(-72)*-1*3. Let q = -291 + 290. What is the nearest to -2 in -4, q, o?
q
Let n = -0.0892216 + -1.3107784. Let m = 0.6 - 2.6. What is the nearest to -0.1 in -0.1, -5, m, n?
-0.1
Let h = -4460 + 4458. What is the closest to 3 in h, 124, 4?
4
Suppose 3*o + 2*q = 7*q, -5*q - 20 = -5*o. What is the closest to -19 in o, 0.5, 0, 2?
0
Let g = 3.1134 - 0.1134. Which is the nearest to 1/4? (a) g (b) 0 (c) 1/11
c
Suppose 2*g = 7*g. Let i = -0.869 + -0.131. Let x = -67.6 + 67.1. Which is the closest to g? (a) x (b) 4 (c) i
a
Let o = -141/473 - -5/43. Suppose 0 = -4*j + r + 1564, 53*j = 48*j - 5*r + 1955. Let m = j + -389. What is the closest to m in o, -1/10, 0.4?
0.4
Let q = -956/195 - -62/13. Let f = 1.
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -11*f**3 - 5*f - 11. Let r(m) = q*i(m) + y*w(m). Determine r(2).
-7
Let l be (-75)/(-50)*188/6. Suppose -8*b + l = -33. Let h(j) = -2*j - 4. Determine h(b).
-24
Let n(u) = -25*u**2 + 36*u - 1. Let a(h) = -76*h**2 + 118*h - 2. Let y(i) = -4*a(i) + 13*n(i). Determine y(-1).
-22
Suppose u = -3*i - 17, 4*i = 5*u - i - 15. Let t(a) be the first derivative of 0*a**2 - 7/3*a**3 - a + 413. Calculate t(u).
-29
Let b(y) = -y - 3. Let c be (-579)/(-5) - (-4)/20. Suppose -2*t = -4*g + c, 4*g + t - 116 = -3*t. Let n = -32 + g. Calculate b(n).
0
Let d be (-1)/(2/6)*1. Let q(u) = 8*u + 4. Let t(n) be the first derivative of 9*n**2/2 + 5*n - 681. Let f(j) = d*t(j) + 4*q(j). What is f(-1)?
-4
Let n(g) = -3*g**3 + g**2 + 2*g + 1. Suppose -54*r + 28 = -53*r. Let a = 27 - r. Determine n(a).
3
Let f(j) be the third derivative of 1/60*j**5 + 1/24*j**4 + 0*j + 0 - 35*j**2 - 2*j**3. Give f(0).
-12
Let d(n) = 6*n**2 + 109*n + 110. Let k be d(-1). Let a(w) be the first derivative of -w**4/4 + 8*w**3/3 - 5*w**2 - 3*w + 3. Determine a(k).
-24
Let y(d) = -3*d**2 - 4*d - 10. Let s(o) = -2*o**2 - 5*o - 9. Suppose 3*r + 14 = -2*h, -2*r + 3*h - 5 + 0 = 0. Let c(x) = r*s(x) + 3*y(x). Give c(11).
-27
Suppose -j + 2*j = -4*n + 4, -60 = -2*j + 5*n. Suppose -j = -22*g + 2*g. Let q(r) = 7*r**3 + r**2 + r - 1. What is q(g)?
8
Let j(n) be the third derivative of -n**4/12 - 7*n**3/6 - 15*n**2. Let h be j(-5). Let c be h + (-4)/8*-4. Let s(f) = -f**3 + 4*f**2 + 7*f - 5. Give s(c).
5
Suppose -6 = 3*h, -3*m - 3*h - 19 = -h. Let j(r) be the second derivative of 1/3*r**4 + 1/2*r**2 + 0 - 29*r - 7/6*r**3 + 1/20*r**5. Give j(m).
11
Suppose 0*g = -2*g - 12. Let y(o) = -6. Let t(z) = z + 28. Let l(d) = -t(d) - 5*y(d). What is l(g)?
8
Suppose 0 = -5*b + 13 + 77. Suppose b + 30 = -6*l. Let w(x) = -5*x**2 + 13*x - 1. Let p(c) = -3*c**2 + 9*c - 1. Let n(o) = -8*p(o) + 5*w(o). Calculate n(l).
-5
Let m(l) = -l**2 - 4*l + 4. Let k(q) = q**3 + 21*q**2 + 2*q + 39. Let u be k(-21). Let b be (2 + 1)/(-1 + u - -5). Let j be (-10)/(12/b - 2). Determine m(j).
-1
Suppose 25*a + 162 - 62 = 0. Let c(t) = 50*t + 194. What is c(a)?
-6
Let s(u) = -u**3 + 45*u**2 - 14*u + 7 - 36*u**2 + 5*u**2 - 1. Determine s(13).
-7
Let h(c) = -27*c - 2. Suppose y - 2*l + 4 = 0, -l = -7*y - 0*y - 2. Determine h(y).
-2
Let a(j) = 1 - 2 + 2*j + 3 - 1. Suppose 5*f + 2*o = 3*f + 10, 0 = -4*f + 5*o - 7. Suppose -11 = f*w - 15. Give a(w).
5
Let k(s) = 4*s + 4*s - 4*s. Let y = 60 + -55. Suppose y*g = -6 + 21. What is k(g)?
12
Let t(z) = z**2 - 4*z - 47. Let p be t(-7). Suppose 26*i = p*i. Let u(n) = -n**3 + n**2 - 1. Determine u(i).
-1
Let j(q) = -q + 16. Let x(g) = -50 + 41 + 23 - 4*g + 34. Let n(y) = 10*j(y) - 3*x(y). Give n(-8).
0
Let k(g) = -g**2 + 5*g + 4. Suppose 0 = 3*u + 12, 0 = -6*w + 2*w + 4*u + 284. Let m = -36 + w. Suppose j - 2*j + 1 = 2*x, 0 = 5*j - 3*x - m. Calculate k(j).
4
Let p(t) = -t**2 + 8*t + 9. Let w(d) = 3*d**2 + 26*d + 1. Suppose 0 + 270 = -30*x. Let f be w(x). Determine p(f).
-11
Let d be (3/(-7))/((-405)/3780). Let b(k) be the second derivative of -k**4/12 + 2*k**3/3 - k**2 - 3*k. What is b(d)?
-2
Let b(k) = k**2 + 59*k + 447. Let x be b(-50). Let y(d) = 6*d**2 + 2*d + 1. Give y(x).
49
Let u(o) be the third derivative of -o**3 + 0 + 0*o + 1/24*o**4 + 47*o**2. Calculate u(-6).
-12
Let a(f) = 8*f + 5. Let o(s) = -s**2 - 8*s - 6. Let c(u) = -3*a(u) - 2*o(u). What is c(-5)?
87
Let k(o) = 500*o - 115. Let x(t) = 57*t - 13. Let b(j) = -4*k(j) + 35*x(j). Calculate b(-3).
20
Let w = -460 + 453. Let m(p) be the third derivative of -p**5/60 - p**4/3 - p**3 + 5*p**2. Give m(w).
1
Let a(v) = v + 5. Let u(o) = -o**2 - 4*o - 6. Suppose -55 = -4*p - 23. Suppose -20 = -2*l + 6*l, 3*c = 4*l + p. Let y be u(c). What is a(y)?
-1
Let s(q) be the third derivative of -q**5/60 + 5*q**4/12 - 8*q**3/3 + 38*q**2. Let c be s(7). Let y(m) = -7 - c*m - 3*m + 5*m + 4*m. Determine y(7).
0
Let f(c) = c - 10. Suppose -181*s = 3*k - 178*s - 75, 4*s = -5*k + 118. Give f(k).
8
Let t be ((-8)/6)/((-6)/(-621)*23). Let i(z) be the first derivative of 2*z**3/3 + 5*z**2 + 7*z + 3. Determine i(t).
19
Let k(c) = c**3 - 2*c**2 + c. Let q(v) = 2*v**3 + 16*v**2 + 71. Let l(a) = 3*k(a) - q(a). Calculate l(22).
-5
Let f be 1932/70 + 3/(-5). Suppose 9*z = 10*z - f. Let n be ((-1)/(-3))/((-3)/z). Let b(d) = -d**3 - 2*d**2 + 3*d. Calculate b(n).
0
Let g(d) be the third derivative of 5*d**4/24 - 12*d**3 - 54*d**2 - 2. Give g(14).
-2
Let t(b) = -b**3 + 12*b**2 - 13*b + 24. Let l be t(11). Let k(y) = 12*y - 33 + 4 + 28 + y**l. Give k(-11).
-12
Let t = 222 - 215. Let x(j) = -20*j - 21*j + t + 38*j. Give x(6).
-11
Let y(h) be the third derivative of 5*h**4/24 - 17*h**3/6 + 3*h**2 + 3*h + 120. What is y(5)?
8
Let u(o) be the first derivative of -o**5/60 - 7*o**4/24 + o**3/3 - 2*o**2 - 62. Let r(q) be the third derivative of u(q). Determine r(-3).
-1
Let k(o) be the second derivative of o**3 + 0 - 98*o + 1/12*o**4 - 3/2*o**2. Determine k(-5).
-8
Let c(h) = 24*h**2 - 34*h - 7. Let t(j) = -50*j**2 + 74*j + 15. Let r(v) = 13*c(v) + 6*t(v). Give r(1).
13
Let s = -14028 + 14023. Let b(a) = a**2 + 13*a + 5. Determine b(s).
-35
Suppose 0 = 11*s - 7*s + 5*f - 100, 0 = 5*s + 2*f - 108. Let q(d) = 49*d**2 + 59*d**2 - d**3 - 88*d**2 - d + s. Give q(20).
0
Let w(f) = -f**2 + f + 15. Let h(b) = b**3 + 5*b**2 - 18. Let j(x) = -7*x + 46. Let c be j(7). Let l be h(c). Calculate w(l).
15
Let c(p) = -13 - 16 + p + 20 - 5. Let v = 557 + -546. Give c(v).
-3
Let j(w) = -w**2 - 5*w. Let n(t) = 3*t**2 - 18*t + 2. Let l be n(6). Suppose -5*v = 3*h + 17, l*h = -3*h - 3*v - 23. What is j(h)?
4
Suppose 33 = 3*m - 2*m - 2*b, 2*m - 62 = 3*b. Suppose -5*l - m = -60. Suppose l*s = -2 + 2. Let g(a) = -a**3 - a**2 + a - 15. Determine g(s).
-15
Suppose 5*v - 63 = -13. Suppose -2 - v = 3*m. Let g be m/((-16)/5)*4. Let p(z) = z**3 - 5*z**2 + 2*z. Calculate p(g).
10
Let t(i) be the third derivative of i**5/120 - i**4/12 + 61*i**3/6 + 7*i**2 + 8. Let f(a) be the first derivative of t(a). What is f(0)?
-2
Let t = 259 + 75. Suppose -10 + t = -6*k. Let h = 53 + k. Let y(u) = 6*u**2 - u. Give y(h).
7
Let b(t) = 13*t**3 - 2*t**2 - 6*t + 8. Let k(n) = -19*n**3 - 18*n**2 + n + 1. Let s be k(-1). Calculate b(s).
13
Let y(d) be the third derivative of d**5/20 - 7*d**4/6 + 73*d**3/6 - 29*d**2 + 3*d - 1. What is y(4)?
9
Let t(l) = 3*l**3 - 156 + 1455*l + 1452*l + 1426*l - 2*l**3 + 50*l**2 - 4287*l. Calculate t(-49).
-9
Suppose -3*j - 4*c + 39 = 0, 2*j - 3*j = 2*c - 13. Let f(p) = 2 - j*p + 25*p - 13*p. Determine f(-2).
4
Let m(a) be the third derivative of a**6/120 - a**5/20 - 3*a**4/8 - 7*a**3/6 - a**2 - 37*a. Give m(-3).
-34
Let m(n) be the third derivative of -5*n**4/8 - 30*n**3 - 9839*n**2. Determine m(-10).
-30
Let w = -5553 - -5548. Let v(h) = -h**3 - 3*h**2 + 11*h + 4. What is v(w)?
-1
Let j be 2 - 2*(-3)/2. Suppose -j*x + 31 = -r - 20, r + 5*x = -51. Let o = -53 - r. Let c(t) = -4*t**2 + 2*t + 1. Give c(o).
-19
Let w(z) be the first derivative of z**3/3 - z**2 + z + 6. Let n be w(0). Let i(v) = n + 19*v - 3*v**2 + 2*v**2 - 15*v. What is i(5)?
-4
Suppose -6*u = 9*u - 45. Let f(v) = v - 2. Let m(q) = 1. Let z(n) = u*f(n) - 4*m(n). Calculate z(-7).
-31
Let q(v) be the first derivative of -v**3/3 + 5*v**2 - 12*v + 2045. Give q(7).
9
Let c(i) = 2*i**2 + 4*i - 1. Suppose 35*y + 20328 + 4837 = 0. Let w = 714 + y. Calculate c(w).
29
Let x(k) = -k**3 + 15*k**2 - 13*k - 19. Suppose -4*a + n + 57 = 0, 12*a + 2*n = 13*a - 16. Determine x(a).
-5
Let z be ((-11)/6)/(28/(-336)). Let m(p) = -5 + 11*p - z*p - 4*p**2 + 22 + 3*p**2. What is m(-12)?
5
Let y(f) = 12*f**2 - f - 2. Suppose -16 = 4*q + r, 4*q + 2*r + 39 = 15. Determine y(q).
48
Let k(c) = -7*c + 7. Suppose 15*x + 188 = -16*x + 219. Determine k(x).
0
Let m(n) = -n**3 + 8*n**2 - 6. Let v be 6/2 + -1 + -11 + 4 + 13. Determine m(v).
-6
Let o(n) = n**3 + 7*n**2 + 6*n + 3. Let i be o(-6). Let q(r) = 2*r - 1646. Let w(b) = b - 898. Let z(y) = 6*q(y) - 11*w(y). Calculate z(i).
5
Suppose 4*x + 19*h = 24*h + 825, -4*x + 824 = -4*h. Let s(n) = -98 - 8*n - 107 + x - n**2. What is s(-8)?
0
Let n(y) = -6*y - 249. Let x be n(-42). Let p(j) = -j**3 + x - 645*j + 0*j**3 + 4*j**2 + 642*j. What is p(3)?
3
Suppose -10*b = 10 - 60. Suppose 1 = 4*q + 2*f - 3*f, 2*q + 5 = -b*f.
|
{
"pile_set_name": "DM Mathematics"
}
|
hest common divisor of 2148 and 4770708.
2148
Calculate the greatest common factor of 21069705 and 915.
915
What is the greatest common factor of 1480 and 12599240?
1480
Calculate the highest common divisor of 102759951 and 100912.
6307
What is the greatest common factor of 136197 and 2294?
37
What is the greatest common factor of 578 and 18302642?
34
Calculate the highest common divisor of 13376195 and 10710.
595
Calculate the highest common factor of 2414 and 1904355113.
1207
Calculate the highest common divisor of 5056 and 13076080.
1264
Calculate the highest common divisor of 40472 and 17144.
8
Calculate the highest common divisor of 287978 and 172002.
218
Calculate the highest common divisor of 42092 and 2934060.
2476
Calculate the highest common divisor of 28753 and 1961.
1
Calculate the highest common divisor of 315 and 5151265.
35
What is the greatest common factor of 29343585 and 375?
15
Calculate the greatest common factor of 375 and 33141.
3
What is the greatest common factor of 6 and 29855022?
6
Calculate the highest common divisor of 93612 and 323292.
348
What is the highest common factor of 336589848 and 288?
72
Calculate the greatest common factor of 110490 and 354525.
435
What is the greatest common divisor of 637579 and 252996?
727
Calculate the highest common divisor of 154 and 139569815.
77
What is the highest common divisor of 27181 and 143066?
77
What is the greatest common divisor of 2061312 and 10614?
366
What is the greatest common divisor of 144 and 125640264?
24
What is the greatest common divisor of 15 and 85732035?
15
What is the greatest common divisor of 185 and 44847219?
37
What is the highest common factor of 53623550 and 150?
50
Calculate the highest common divisor of 152540 and 222840.
20
Calculate the greatest common divisor of 87639 and 101019.
669
Calculate the greatest common factor of 849 and 1640189892.
849
What is the greatest common divisor of 72312116 and 60?
4
What is the highest common divisor of 117 and 1623915?
9
Calculate the greatest common factor of 84 and 29033697.
21
What is the greatest common factor of 6 and 31284222?
6
What is the highest common factor of 1486658841 and 3057?
3057
What is the greatest common divisor of 307933 and 1444?
361
Calculate the highest common divisor of 6321 and 3364536.
147
Calculate the highest common factor of 245 and 441192080.
245
Calculate the highest common factor of 60 and 5763196.
4
Calculate the greatest common divisor of 14586 and 553384.
442
Calculate the highest common divisor of 16672778 and 4411.
401
What is the highest common divisor of 72740 and 1820?
20
What is the greatest common factor of 54 and 105199857?
27
What is the greatest common divisor of 616 and 12775728?
56
Calculate the highest common divisor of 6664 and 2620856.
952
What is the greatest common divisor of 6456 and 849264?
24
What is the greatest common divisor of 2005025 and 77165?
1265
What is the highest common divisor of 33001196 and 3396?
1132
What is the greatest common divisor of 651 and 19475610?
21
Calculate the greatest common divisor of 167213684 and 11.
11
What is the highest common factor of 39821304 and 39372?
2316
Calculate the highest common factor of 935923191 and 21.
21
Calculate the greatest common divisor of 3654 and 1082802.
1218
Calculate the greatest common factor of 5012 and 652.
4
What is the greatest common divisor of 56 and 678482?
14
Calculate the greatest common divisor of 2784 and 822904.
232
What is the highest common divisor of 2541 and 77589897?
231
What is the highest common divisor of 107134005 and 30855?
1815
Calculate the highest common factor of 683037 and 23751.
261
Calculate the greatest common factor of 74347 and 466507.
817
What is the highest common divisor of 814969981 and 4151?
4151
What is the highest common divisor of 10782457 and 3171?
1057
What is the highest common divisor of 39022 and 229478?
358
What is the highest common divisor of 716 and 257116?
4
What is the highest common divisor of 8 and 277540?
4
Calculate the greatest common divisor of 303388 and 16498.
146
What is the highest common divisor of 686 and 15782459?
343
Calculate the highest common factor of 72082 and 2441386.
3134
Calculate the highest common factor of 1990 and 54561820.
1990
Calculate the greatest common factor of 1887 and 242202.
111
What is the highest common factor of 556 and 279473956?
556
What is the highest common factor of 3630 and 880605?
165
Calculate the highest common factor of 1273 and 229619921.
1273
What is the greatest common divisor of 17326242 and 90?
18
What is the highest common factor of 5046773 and 41752?
5219
What is the greatest common divisor of 1306661412 and 153?
51
What is the highest common divisor of 14575664 and 16991?
1307
What is the highest common divisor of 948 and 219733365?
237
Calculate the greatest common factor of 697437598 and 57.
19
What is the highest common factor of 102111014 and 2?
2
Calculate the greatest common factor of 37439656 and 584.
584
Calculate the highest common factor of 150112 and 36128.
32
Calculate the greatest common divisor of 3 and 5045520.
3
Calculate the highest common divisor of 23220800 and 850.
50
What is the highest common factor of 43236730 and 25870?
1990
What is the highest common divisor of 4958 and 1273?
67
Calculate the greatest common factor of 162904050 and 200.
50
What is the highest common factor of 1112 and 486568?
8
Calculate the highest common divisor of 87 and 165747905.
29
Calculate the greatest common divisor of 111464718 and 1362.
1362
Calculate the highest common factor of 714595271 and 26.
13
What is the highest common factor of 28692 and 1030092?
12
Calculate the highest common factor of 1245 and 185654400.
1245
What is the greatest common factor of 15470 and 9053486?
442
Calculate the greatest common divisor of 4668599 and 5383.
769
What is the greatest common factor of 4340 and 186434?
62
What is the greatest common divisor of 3740 and 414871094?
374
Calculate the highest common divisor of 5149 and 85253.
19
Calculate the greatest common factor of 1181648 and 12363.
13
Calculate the highest common factor of 19380 and 16201.
17
What is the highest common divisor of 521118 and 3278144?
4454
Calculate the highest common factor of 581951 and 9671.
19
What is the greatest common factor of 77031 and 327461?
317
Calculate the greatest common divisor of 310112 and 1199.
11
Calculate the greatest common factor of 8388 and 1201716.
36
What is the greatest common factor of 7308 and 25317?
261
What is the highest common divisor of 988601 and 697?
17
What is the greatest common divisor of 13481 and 2107001?
793
What is the highest common factor of 223151841 and 44?
11
What is the highest common divisor of 37572750 and 6750?
2250
What is the highest common divisor of 2754 and 2136780?
162
What is the greatest common factor of 116410 and 14000?
70
Calculate the highest common factor of 10686037 and 3287.
3287
Calculate the greatest common divisor of 739 and 98899631.
739
What is the greatest common factor of 68673990 and 1395?
465
What is the greatest common factor of 207749 and 89972?
83
What is the greatest common factor of 32949 and 5124?
21
Calculate the greatest common divisor of 34010544 and 2330.
466
Calculate the highest common divisor of 227 and 57303426.
227
What is the greatest common factor of 403 and 5477855?
31
Calculate the greatest common divisor of 4100375 and 425.
25
Calculate the highest common divisor of 400625 and 30768.
641
Calculate the greatest common divisor of 82403800 and 1400.
200
What is the greatest common factor of 202393506 and 84?
42
Calculate the greatest common divisor of 357401359 and 14.
7
Calculate the greatest common divisor of 30 and 32995974.
6
Calculate the greatest common divisor of 13390 and 54535.
65
Calculate the highest common divisor of 63252 and 64602.
18
Calculate the highest common factor of 4 and 23274127.
1
Calculate the highest common divisor of 39579875 and 128003.
6737
Calculate the greatest common factor of 2290 and 43070.
10
Calculate the greatest common divisor of 199394227 and 38.
19
Calculate the highest common factor of 6123 and 496899.
39
Calculate the highest common factor of 890 and 258735.
5
What is the greatest com
|
{
"pile_set_name": "DM Mathematics"
}
|
). Let d = 24 + -123/5. Which is smaller: m or d?
m
Let j = 10 + -8. Is j bigger than -2.4?
True
Let f = 34 - 34.1. Which is bigger: f or -64?
f
Let s(w) = w**2 - 7*w + 8. Let g be s(7). Let b(m) = -m**3 + 8*m**2 + 3. Let v be b(g). Which is smaller: 2 or v?
2
Suppose 4*n + 119 = 11. Let l = n - -134/5. Let p = -7.3 - -7.4. Is l < p?
True
Let j be -3 + 10 + (-3 - -6). Suppose 0 = 4*t + 38 + j. Which is greater: -13 or t?
t
Let n(m) = m**2 + 7*m - 18. Let d be n(-9). Is d < 3/34?
True
Let t = 13 - 5. Suppose t*g - 5 = 3*g + 5*p, g - 6 = -4*p. Let s be 2/((-9 + g)/(-1)). Which is smaller: s or -1?
-1
Let c = 16 + -15. Which is smaller: 5/6 or c?
5/6
Let b = 23 + -117/5. Are b and 0 non-equal?
True
Let n = -68 - -66. Is n bigger than -6?
True
Let h be (-3)/4*20/(-6). Let i(l) = 5*l - 18. Let k be i(4). Is h < k?
False
Let r = 18 - 19. Which is smaller: r or -4/5?
r
Let z = -7 + 5. Let v be -3*(38/(-18) - z). Is -0.1 at least as big as v?
False
Let c be 1/(-10) + 1/(-2). Let b = 0 - 1. Is b equal to c?
False
Let q(x) = 2*x + 2. Let c be q(-3). Let o be (3/54)/(1/c). Suppose 3*g - g = -2. Is g less than o?
True
Let w be (3 + -11)*1/(-2). Suppose 2*o = -2*o - w. Let u = o + 0. Does 0 = u?
False
Let z = 9 - 7. Suppose g = -3*q + 7, 5*g - 4*q + 1 = -z. Do g and 3 have the same value?
False
Let t be ((-5)/10)/(-1) + 0. Is 1 less than or equal to t?
False
Let c = -31 + 61/2. Let k = -7/5 - -1. Is c equal to k?
False
Let c = 0.6 + -0.5. Let s = 6 - 6.1. Let f = c + s. Does -3/8 = f?
False
Let k = 218/189 + -8/27. Is k at most 1?
True
Suppose -4*s + 2*b + 49 = -3*b, -3*s - 2*b + 8 = 0. Let y(x) = -2*x - 6. Let r be y(-4). Let z be (-3)/r*(-30)/9. Which is smaller: z or s?
z
Let g be (2 + (-316)/(-70))*-15. Let z = g + 98. Which is smaller: -5 or z?
-5
Let a be 16/130 - (-24)/30. Which is smaller: 2 or a?
a
Let w = 10.9 + -11. Let b = -19/2 + 10. Is b at most as big as w?
False
Let g be (1/(-3))/(2/(-12)). Suppose -3*d - 10 = g*d. Is -2 at least d?
True
Let g(h) = h**3 + 2*h**2 - 3*h - 1. Let b be 7/(-3) - (-12)/(-18). Let z be g(b). Which is smaller: z or 0?
z
Let h be 0 - (0 + (-1)/(-1)). Suppose 20 = 5*t - 30. Suppose -2*x = t, -o = 4*x + 10 + 10. Which is smaller: o or h?
h
Let u(p) = -p**3 - 2*p**2 - p + 1. Let q be (-4)/14 - (-24)/(-14). Let s be u(q). Suppose -2*o + 0*t = -4*t + 32, -s = 3*o + 3*t. Which is smaller: -5 or o?
o
Let i = 38/5 - 256/35. Is i > -1?
True
Suppose -6*z = -5*z. Suppose -6*y + 2*y + 8 = z. Let t = -7 - -10. Which is smaller: y or t?
y
Let f = -7 + 7.3. Let i = 0.4 - 0.2. Let v = i + -0.1. Is v greater than or equal to f?
False
Let w = 81 - 80.66. Is w < -1?
False
Let v(q) = -q - 3*q**2 + 1 + 8*q**2 + 0*q. Let a be v(1). Which is greater: a or 6?
6
Let g be (-49)/222 - 7/(-42). Is g greater than 1?
False
Let j = 7 - 6. Do j and -2/13 have the same value?
False
Let n be 28/(-42)*(-9)/10. Let w = 3 - 2. Which is smaller: w or n?
n
Let d = -0.18 - -7.18. Let m = 111/65 + -17/13. Is m less than d?
True
Let k = 0.7 + 0.3. Let f = 1 - k. Let o = 478 - 476. Which is smaller: f or o?
f
Let p be ((-34)/510)/((-10)/9 + 1). Let b = -1 + 1. Is b at least p?
False
Let a be 0 - 1 - (1 + -2). Let w be a + (-1 - 28/(-20)). Is 4 > w?
True
Let y = -12 - -36. Let f be 4/10*(-345)/y. Let k = -6 - f. Which is bigger: 0 or k?
0
Let l = 367/9 + -41. Is 1 bigger than l?
True
Let d(s) = s. Suppose -36 = -5*m - 1. Let k(z) = z**2 - 6*z - 7. Let p be k(m). Let o be d(p). Do 0.3 and o have different values?
True
Suppose 0 = -5*j + 8*j - 6. Suppose -2*q + 5*m + 9 = -0*m, -5*m - 1 = j*q. Let a be (q - 1) + (-1)/1. Do 1 and a have different values?
True
Suppose -4*l + 3*l = -1. Suppose -7*r + 9 = -3*r - t, 7 = 5*r + 3*t. Suppose 0*j + r*j = 2. Are l and j nonequal?
False
Let t(f) = -2*f**3 + f**2 + 2*f + 1. Let g be t(-1). Is g at most as big as 11/5?
True
Let k be (-20)/(-12) - (-2)/6. Let j = -2 + 2. Suppose -10 = 4*c - k*f, -f + 5 = -j*c + c. Which is greater: -2/5 or c?
c
Let g = 0.3 + -0.3. Let x = 1 + g. Let f = x - -2. Is f smaller than 1?
False
Let b be (-24)/(-60) - 72/230. Which is smaller: b or 0?
0
Let o = -9 - -3. Which is smaller: 0 or o?
o
Let c = 1153/6 - 193. Is -1 less than c?
True
Suppose -4*w - 1 - 15 = -4*t, -12 = -t + 5*w. Let k = 53 + -263/5. Is t greater than or equal to k?
True
Suppose -6 = x - 7. Which is smaller: -1 or x?
-1
Let c be ((-2)/3)/((-5)/3). Let r = 6229/3 + -2058. Let d = r + -18. Which is smaller: d or c?
d
Let b(j) be the third derivative of j**7/2520 + 7*j**6/720 + j**5/24 - j**4/12 - j**2. Let m(l) be the second derivative of b(l). Let i be m(-6). Is i > -2?
True
Let m be (8/(-16))/((-1)/(-4)). Let g be (m + 2)/(2/(-1)). Is g >= -1?
True
Let l(s) = -s**3 - 13*s**2 - 10*s + 7. Let y be l(-12). Is -15 less than y?
False
Let w be (-2 - (-3 + 4))*4. Let q be ((-2)/(-12))/((-6)/w). Is 1 bigger than q?
True
Let c = 11 - 10. Is c less than -2/53?
False
Let u = -5 + 5. Let h = u - -1. Is 4 >= h?
True
Let w be (54/(-15))/((-6)/(-20)). Let m = 8 + -20. Is w bigger than m?
False
Let c = -105 - -101.95. Let o = 3 + c. Let g = -2.05 - o. Is g at most as big as -0.1?
True
Suppose -n - 40 = 4*n. Let t be (-2)/(-30)*(-6)/n. Which is bigger: -1 or t?
t
Let d(w) = -w - 7. Let u be d(-5). Which is bigger: -10/9 or u?
-10/9
Let n = -0.139 - -0.059. Which is smaller: 1/2 or n?
n
Let o = -1.96 - -2. Let r = o + -0.04. Is 1 smaller than r?
False
Suppose 4*t - 5*t = 0. Let x be 8/28 - (-33)/7. Suppose -x*s - 1 = -6. Is s at most as big as t?
False
Let a(o) = -7*o**2 + 13*o + 6. Let z(k) = -3*k**2 + 6*k + 3. Let x(d) = -d + 1. Let r be x(3). Let y(v) = r*a(v) + 5*z(v). Let s be y(4). Is s bigger than 4?
False
Let h = 1/12 - -1/12. Let f = -1 - -2. Suppose 2*o + 1 = -f. Is h >= o?
True
Suppose 3*h - 2*v - 6 = 46, -2*h - 2*v = -18. Suppose 4*g + 7 - 3 = -4*d, -h = -g + 2*d. Let y be ((-6)/15)/(g/(-2)). Which is smaller: y or 1?
y
Let g be 1/((-2)/(-20)*-2). Which is smaller: -4 or g?
g
Let x be (1/(-23))/((-15)/(-30)). Which is smaller: x or 2?
x
Let z(i) = i - 4. Let l be z(-3). Let p = -4 - l. Suppose 2 - 8 = -p*o. Which is smaller: 1 or o?
1
Let n(j) = 2*j - 1. Let r be n(1). Suppose 4*u = -5*m + 2*u + 25, 0 = -2*m - 4*u + 26. Suppose 13 = m*d + r. Is 4 smaller than d?
False
Let w = 1 + 2. Suppose -4*d = -w*d. Which is bigger: d or 1/6?
1/6
Let y(k) = -2*k - 3. Let v be y(-3). Suppose -c - v*x - 15 = -3*c, -x = 4*c + 5. Let m be (-1)/(-4)*2 + -1. Which is greater: m or c?
c
Suppose 68 = -4*z + 8. Let n be (1/z)/(3/(-2)). Is -1 bigger than n?
False
Suppose 2*p + 5 = -u, 28 - 9 = -p + 5*u. Which is smaller: -14/5 or p?
p
Let i = -0.3 + 0.4. Suppose 0 = 3*l - 4*w - 0*w + 13, -2 = -l - 5*w. Let m be (-6)/l*(-2)/4. Which is smaller: i or m?
m
Let i = 1.9 + -1.8. Is i greater than or equal to -15?
True
Let s be -2 - (0 + 0 + -2). Let t = -105 - -1783/17. Which is greater: t or s?
s
Let y be 3/2 - (-71)/(-2). Is -33 greater than y?
True
Let w(j) = j**2 - j. Let h be w(2). Is h equal to 4?
False
Let c be (-4)/(-6)*33/(-1111). Is c != 0?
True
Let r(p) = p + 5. Let j be r(-4). Suppose -5*u + 18 = -y, 2*u - 1 - j = 3*y. Let n = 23/36 - -1/36. Which is bigger: y or n?
y
Let y be 2/(-10) - 196/20. Let p be (8/y)/((-9)/(-90)). Let c(i) = -i**3 - 8*i**2 + i + 8. Let l be c(p). Is 0.1 at most l?
False
Suppose 3*g + 15 = -3*f, 0 = 4*f - 2*f + 3*g + 9. Let i = -91 + 93. Which is greater: f or i?
i
Let u = 12 + -26. Is u > -15?
True
Let o(g) = -g**3 - 3*g**2 + 3*g - 5. Let n be o(-4). Let f be (-3)/1*(-2)/(-3). Let r = f - -2. Is n >= r?
False
Let p(t) = -t**2 - 5*t. Let b be p(-5). Suppose b = -2*u - 2*f, 4*u - 1 + 2 = -5*f. Is 3 at most u?
False
Let a = 0 - 0.1. Let q = -0.2 + a. Let o = q - -0.2. Which is smaller: o or 0.3?
o
Suppose -12*m = -14*m + 48. Do m and 24 have the same value?
True
Let c = -10.03 - -10. Let b = 0.27 - c. Which is bigger: b or -0.3?
b
Let d = -1 + 11. Let x be d/(-12) - (-2)/3. Let j be 2/(-7) - 6/(-21). Which is smaller: j or x?
x
Let r(v) = v**2 + 15*v + 45. Let s be r(-11). Which is greater: s or 5?
5
Let i = 16/5 - 18/5. Suppose 0*j + 14 = 4*j - 5*f, 5*f = -j - 9. Which is smaller: i or j?
i
Let j = -39/2380 + -1/140. Is j greater than -1?
True
Suppose -p = -4*c + 21, 0*c - 3*c - 4*p = -11. Suppose -2*v - 3*w - 3 = v, 0
|
{
"pile_set_name": "DM Mathematics"
}
|
5.
31
Let v(j) = j**3 + 66*j**2 - 89*j - 5855. Let z be v(-66). Let n(m) = -m**3 + 12*m**2 - 7*m + 3. Let b be n(10). What is the greatest common divisor of z and b?
19
Suppose 1174 = 5*b + k, 0*b + 238 = b + k. Suppose 0 = 2*x - b + 36. Calculate the highest common factor of x and 9.
9
Let s(g) = 379*g**2 + 90*g + 336. Let p be s(-4). Calculate the greatest common factor of p and 453.
151
Let u(p) be the second derivative of -29*p**3/6 - 43*p**2/2 + 62*p. Let f be u(-3). What is the highest common divisor of f and 4?
4
Let n(w) = -w**3 + 10*w**2 + 4*w + 10. Let o be n(10). Suppose r - 5*h = 11 + 99, -238 = -2*r + h. What is the highest common factor of r and o?
10
Let a be 4031/(8 - 2 - 5) - -8. What is the highest common factor of 7 and a?
7
Let n be (-2 - 0)*145/(-58). Suppose 0 = -4*z - n*i + 166, 1 - 5 = -2*i. Calculate the greatest common divisor of z and 65.
13
Suppose 0 = -m + 5*c + 759, 6*c - 4*c - 1506 = -2*m. What is the highest common divisor of m and 870?
58
Suppose 104 = -8*k + 34*k. Suppose -b + 39 = -m - 14, 0 = -k*m + 16. Suppose -731 = -4*u + 1093. What is the greatest common divisor of u and b?
57
Suppose 0 = 3*l - x - 159 - 236, 0 = 5*l + 3*x - 649. Let g = 164 - l. Calculate the highest common factor of 132 and g.
33
Let a = -3863 - -7229. Calculate the highest common factor of a and 1089.
99
Suppose -4 = 5*i - 6*i. Suppose 4*d - 3*p - 40 = -12, 4*d = i*p + 32. Let a be 26 + (d + -5 - -5). What is the greatest common divisor of 60 and a?
30
Suppose b + b - 12 = 0. Let f be (58/87)/((-4)/522*-3). Suppose -10*w = -f*w + 1254. What is the highest common factor of b and w?
6
Let t be 18*-1*7/(42/(-129)). Suppose -23*f - t = -g - 21*f, -5*g = -f - 1971. What is the greatest common factor of 316 and g?
79
Let q be (-140)/40 + 2/4 + (-348)/(-2). Calculate the greatest common divisor of 3933 and q.
171
Let y be 12/(-294)*-483*7. Calculate the greatest common factor of 222 and y.
6
Let p(v) = -31*v**3 - 5*v**2 - 84*v - 162. Let d be p(-2). Calculate the highest common factor of 377 and d.
13
Let b = 169 - -13. Suppose 2*v - b = -170. Let r(j) = j**2 + 7*j + 8. Let x be r(-6). What is the highest common factor of v and x?
2
Let z = 1065 - 1579. Let s = z - -769. Suppose 25*b - 2789 + 1514 = 0. What is the greatest common divisor of b and s?
51
Suppose -y - 20 = -6*y. Let k be ((-150)/y + 0)*16/(-6). Let n = -34 + k. What is the highest common factor of 22 and n?
22
Let y(m) = m**3 + 12*m**2 + 16*m + 11. Let x be y(-10). Let z = -49 + x. Suppose -z*k - 16 = -3*k. Calculate the greatest common divisor of 32 and k.
16
Let j = 107 - 106. Let m be ((62 - j) + 2)*(-6)/(-9). Let i = 27 + -13. What is the highest common divisor of i and m?
14
Suppose -100*k + 8494 = 3394. What is the highest common divisor of k and 2278?
17
Let o = 21143 - 15226. Calculate the greatest common divisor of o and 61.
61
Let g = -575 + 1349. Let v be 4068/225 - (-8)/(-100). Calculate the greatest common factor of g and v.
18
Let g = -160 + 198. Calculate the greatest common factor of 21698 and g.
38
Suppose -58 = -2*b - s, 25*s = 21*s + 16. Let g(f) = 3*f - 26. Let k be g(b). Calculate the greatest common factor of k and 165.
55
Suppose -9 = -10*o + 11*o. Suppose 6 = -3*f + n - 1, -2*n - 30 = 5*f. Let m be 9/(o/f) + 20. Calculate the highest common divisor of m and 48.
24
Let g be ((-20)/(-6) + -4)*(-561)/2. Let l = g + -138. Calculate the greatest common divisor of l and 343.
49
Let o = 272 + -139. Suppose 52 + o = 5*y. What is the greatest common divisor of 37 and y?
37
Suppose 4*w - 100 = -2*y, w = -3*w - 4. Let i(x) = -314*x - 4842. Let l be i(-16). Calculate the highest common factor of l and y.
26
Let h(s) = -s**2 - 186*s - 2229. Let a be h(-13). Calculate the greatest common factor of 20 and a.
20
Let w(v) = 27*v - 109. Let y be w(7). Suppose 0*l = 2*l - f - 155, -l - 2*f + y = 0. What is the greatest common factor of l and 26?
26
Suppose 2*s + 5*g - 19 - 49 = 0, -4*s + 4*g + 192 = 0. Calculate the greatest common divisor of 24 and s.
4
Let q(l) = -3*l - 78. Let z(h) = 4*h**2 + 2*h - 31. Let j be z(0). Let i be q(j). Calculate the greatest common divisor of i and 120.
15
Suppose -5*s = 0, 2*s + 20 = 2*h - 34. Suppose -1250 = 22*p - h*p. What is the greatest common factor of 50 and p?
50
Suppose 0 = 5*p - y - 7640 + 1838, 2*y + 3477 = 3*p. Calculate the greatest common divisor of p and 27.
27
Suppose 3*p = 5*u - 1502, -3*u = p + 243 - 1133. Let x = u + -226. Calculate the greatest common factor of 126 and x.
18
Let q = 483 - 486. Let a be 4 + -2 + (-34)/q*6. Calculate the greatest common factor of 280 and a.
70
Let v(b) = 2*b - 41. Let m be v(16). Let p be (252/70)/(m/(-30)). What is the greatest common divisor of p and 288?
12
Suppose 0*w - 5*w + 2*a = -15, 4*a = -3*w + 35. Suppose -4*c = w*c - 126. Let f = -65 + 177. What is the highest common divisor of f and c?
14
Let a(c) = -3*c + 24. Let z be a(10). Let k = z - -44. Let h = 106 + k. Calculate the greatest common divisor of 18 and h.
18
Let w(g) = g + 210 - 82 + 2*g + 4*g. Let x be w(17). Calculate the greatest common divisor of x and 38.
19
Let k(z) = -z**3 - 16*z**2 + 11*z - 106. Let i be k(-19). Calculate the highest common factor of 4096 and i.
256
Suppose -5*i + 2*p + 4632 = 0, -5*p + p + 3728 = 4*i. What is the greatest common divisor of 80 and i?
16
Let f = -4210 + 4259. What is the highest common factor of f and 7693?
49
Let l be (36*(-3)/(-24))/((-4)/(-32)). What is the greatest common factor of 492 and l?
12
Let l be (5/2)/((-261)/(-24534)). Calculate the greatest common factor of l and 329.
47
Let r = 561 - -383. Calculate the highest common divisor of r and 80.
16
Suppose -5*f + 10*f + 2*o - 1793 = 0, 11*f - 4*o = 3911. Calculate the highest common divisor of 35 and f.
7
Let o(n) be the third derivative of 11*n**4/24 + 14*n**3/3 + 6*n**2. Let u be o(0). Calculate the highest common factor of 84 and u.
28
Let n(l) = -85*l - 664. Let v be n(-8). Calculate the greatest common divisor of v and 7296.
16
Let m(j) = -28*j - 14. Let p be m(-6). Let w(y) = 7*y**2 - 30*y - 6. Let i be w(6). What is the greatest common factor of i and p?
22
Suppose 4*k = -0*a + 4*a, 4*a + k - 10 = 0. Suppose 655 = 5*v - 2*b - a*b, 2*v - 3*b - 255 = 0. What is the highest common divisor of v and 45?
45
Let n be (-3)/(-2)*4/6. Let q be 60/(-24)*n/(3/(-6)). Suppose 3*m - 3 = 2*u, 5*u = 2*m + 3*m - 5. What is the highest common divisor of m and q?
1
Suppose -3*w - 1272 = -9*w. Suppose -2*k - 5*q - 124 = 0, q + w = -2*k - k. Let s = 78 + k. Calculate the highest common factor of s and 96.
6
Let p be ((-7)/(-3) - -1)*7788/295. Suppose 48*h - 52*h + p = 4*n, -4*h + n = -63. What is the highest common divisor of 3 and h?
1
Let m(t) = 37*t - 34. Let y be m(1). Suppose 27*q - 143 = 16*q. Calculate the greatest common divisor of q and y.
1
Let p be (-4)/6*(-342)/76. Let w = 0 - -4. Let b be (6/(-8))/(w/(-112)). Calculate the highest common divisor of b and p.
3
Let q(n) = n**3 - 7*n**2 + 4*n + 22. Let a be q(6). Suppose -6075 = a*f - 19*f. Suppose 0 = 6*x - x - f. What is the highest common factor of 15 and x?
15
Let b(q) = -6*q**2 + 365*q + 67. Let a be b(61). Calculate the greatest common divisor of a and 4803.
3
Let f be 155*((0 + -1)/((-3)/(-6)))/(-2). What is the greatest common factor of 5580 and f?
155
Let u = 3 + 9. Let c = -8 + u. Suppose 31 = -0*p + 2*p - 5*s, -2*p = c*s - 76. Calculate the highest common factor of 4 and p.
4
Suppose 6*t - 7 = 11. Suppose 3*f + z - 283 = 0, z + 279 = t*f + 4*z. Calculate the greatest common factor of 19 and f.
19
Suppose -11*l + 9450 = 16*l. Suppose 6*d - 2402 + l = 0. What is the highest common factor of 18 and d?
18
Suppose -5 - 103 = -3*t. Let f = 664 + -412. Calculate the greatest common divisor of f and t.
36
Let m(o) = o**2 - 23*o. Let g be m(23). Let q be 4 - -34 - 4 - g. Let t(w) = -25*w + 10. Let a be t(-3). Calculate the highest common divisor of q and a.
17
Let p be 8 + -5 - (-1 - 14). Let h be (378/210)/(3/190). What is the greatest common divisor of h and p?
6
Suppose -4*x + 4*c + 640 = 0, 4*x - 42*c = -46*c + 600. What is the greatest common divisor of 1271 and x?
31
Suppose -5*q + 152 = -2*c, -31*q + 4*c = -29*q - 64. Calculate the highest common factor of q and 80
|
{
"pile_set_name": "DM Mathematics"
}
|
tccbcccbcccqqcqccq. Give prob of picking 1 q and 1 t.
4/95
What is prob of picking 2 e and 1 n when three letters picked without replacement from {j: 2, e: 4, x: 1, p: 1, n: 1}?
1/14
What is prob of picking 1 m and 1 u when two letters picked without replacement from umumuuuuumu?
24/55
Four letters picked without replacement from {p: 4}. What is prob of picking 4 p?
1
Four letters picked without replacement from nswnspwnnshssncss. Give prob of picking 3 w and 1 c.
0
Calculate prob of picking 1 o and 3 e when four letters picked without replacement from {e: 4, i: 2, k: 3, o: 1, j: 6}.
1/455
Calculate prob of picking 3 e and 1 y when four letters picked without replacement from yeyyyyyyeye.
4/165
What is prob of picking 1 a, 2 r, and 1 o when four letters picked without replacement from {a: 1, r: 2, s: 2, h: 1, o: 1}?
1/35
Calculate prob of picking 1 j, 1 w, and 2 k when four letters picked without replacement from {v: 5, w: 4, j: 1, k: 4, o: 2}.
6/455
Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {e: 12, d: 1}.
3/13
Calculate prob of picking 3 u when three letters picked without replacement from {u: 10}.
1
What is prob of picking 3 a when three letters picked without replacement from raarrar?
1/35
Calculate prob of picking 4 n when four letters picked without replacement from onnnnnoonnono.
14/143
What is prob of picking 2 j and 1 q when three letters picked without replacement from {y: 2, j: 7, h: 3, v: 4, q: 1}?
21/680
Calculate prob of picking 1 l, 1 m, 1 u, and 1 w when four letters picked without replacement from {l: 2, u: 4, m: 1, w: 3, h: 4, r: 1}.
8/455
Calculate prob of picking 2 k when two letters picked without replacement from kyk.
1/3
Two letters picked without replacement from ttrttr. Give prob of picking 2 r.
1/15
Two letters picked without replacement from kilikkiiikiei. What is prob of picking 1 e and 1 l?
1/78
Four letters picked without replacement from {d: 12, q: 3, c: 2}. Give prob of picking 1 c and 3 q.
1/1190
Four letters picked without replacement from {p: 2, u: 10}. Give prob of picking 2 u and 2 p.
1/11
Three letters picked without replacement from swtsskmsmuskk. What is prob of picking 1 t, 1 s, and 1 w?
5/286
Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {d: 2, l: 2, a: 5}.
5/18
Calculate prob of picking 2 a when two letters picked without replacement from saasaascssascs.
10/91
Two letters picked without replacement from {j: 2, a: 2}. Give prob of picking 2 a.
1/6
Four letters picked without replacement from ckopfvpk. Give prob of picking 1 v, 1 p, and 2 k.
1/35
Calculate prob of picking 2 l and 2 e when four letters picked without replacement from {s: 4, e: 2, l: 4, j: 2}.
2/165
Four letters picked without replacement from jlbdjjdvjlbbvbddj. Give prob of picking 1 v, 1 b, 1 l, and 1 d.
16/595
What is prob of picking 2 y and 2 l when four letters picked without replacement from {l: 3, y: 2}?
3/5
What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyy?
1
What is prob of picking 2 q when two letters picked without replacement from {h: 6, l: 1, j: 5, q: 4}?
1/20
Two letters picked without replacement from {m: 3, a: 11}. Give prob of picking 1 m and 1 a.
33/91
Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, v: 1, e: 5}.
1/30
Two letters picked without replacement from {l: 4, w: 4, j: 9, r: 1, p: 2}. What is prob of picking 1 j and 1 r?
9/190
Three letters picked without replacement from {l: 2, f: 2, c: 6, r: 1}. What is prob of picking 2 f and 1 l?
2/165
Two letters picked without replacement from dllfllod. Give prob of picking 1 l and 1 o.
1/7
What is prob of picking 2 n when two letters picked without replacement from nknknn?
2/5
What is prob of picking 2 u when two letters picked without replacement from {u: 5, p: 3}?
5/14
Four letters picked without replacement from kxkxjxjjkkxxxx. What is prob of picking 1 x and 3 j?
1/143
Three letters picked without replacement from {q: 8, p: 6, i: 2, g: 2}. Give prob of picking 1 p, 1 g, and 1 q.
2/17
What is prob of picking 1 u and 1 p when two letters picked without replacement from {p: 2, i: 1, u: 2, c: 1}?
4/15
Four letters picked without replacement from {s: 9}. Give prob of picking 4 s.
1
Calculate prob of picking 1 d and 1 g when two letters picked without replacement from sxaxdgadxddd.
5/66
Two letters picked without replacement from rlccccjccckc. Give prob of picking 1 l and 1 c.
4/33
What is prob of picking 3 f when three letters picked without replacement from ffff?
1
Calculate prob of picking 1 r, 2 t, and 1 u when four letters picked without replacement from trttrodurrtudrutr.
9/119
What is prob of picking 2 x and 1 j when three letters picked without replacement from jxouxxr?
3/35
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {a: 2, i: 1, r: 1}.
1/6
Calculate prob of picking 2 o when two letters picked without replacement from uuuuooououuuuu.
6/91
What is prob of picking 2 g and 2 n when four letters picked without replacement from reenrggn?
1/70
What is prob of picking 1 a, 1 y, and 1 v when three letters picked without replacement from {y: 1, a: 6, v: 2, m: 4}?
6/143
Three letters picked without replacement from {h: 1, s: 7, z: 3, c: 7, r: 1, p: 1}. Give prob of picking 1 s, 1 h, and 1 c.
49/1140
What is prob of picking 2 c when two letters picked without replacement from {j: 4, c: 5, t: 1}?
2/9
Three letters picked without replacement from mvuauanmum. What is prob of picking 1 u and 2 a?
1/40
Two letters picked without replacement from {d: 7, r: 3}. What is prob of picking 2 r?
1/15
Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {p: 1, e: 1, d: 1, y: 1, b: 1}.
1/10
What is prob of picking 1 l and 2 z when three letters picked without replacement from {a: 2, p: 1, l: 6, j: 1, z: 2}?
3/110
Two letters picked without replacement from {q: 2, s: 2, b: 7, m: 1, p: 1, y: 1}. Give prob of picking 1 q and 1 s.
4/91
Calculate prob of picking 2 q and 1 x when three letters picked without replacement from xqxxxqxqxxxxxxxxxq.
7/68
Three letters picked without replacement from {v: 4, s: 7, y: 2}. Give prob of picking 1 y, 1 s, and 1 v.
28/143
Two letters picked without replacement from {d: 4, r: 3}. Give prob of picking 2 r.
1/7
Four letters picked without replacement from {z: 8, x: 5, i: 2, m: 1}. Give prob of picking 2 x and 2 z.
2/13
Two letters picked without replacement from rffrrrr. What is prob of picking 1 f and 1 r?
10/21
Calculate prob of picking 2 e and 2 g when four letters picked without replacement from segggsgsssegessgeee.
75/1292
Three letters picked without replacement from qsqcswwqosr. Give prob of picking 1 s, 1 r, and 1 o.
1/55
Calculate prob of picking 1 o and 3 m when four letters picked without replacement from mmfmmmpommoo.
7/33
Two letters picked without replacement from {d: 3, o: 12}. Give prob of picking 1 o and 1 d.
12/35
Two letters picked without replacement from {j: 9, r: 3, z: 7}. Give prob of picking 1 z and 1 j.
7/19
Two letters picked without replacement from xnjjjhxhdxj. Give prob of picking 2 d.
0
Three letters picked without replacement from anhaxhit. What is prob of picking 1 a, 1 t, and 1 i?
1/28
Four letters picked without replacement from {v: 3, x: 2}. What is prob of picking 4 v?
0
Four letters picked without replacement from {o: 10}. Give prob of picking 4 o.
1
Three letters picked without replacement from ynnygnbnnbybns. What is prob of picking 2 b and 1 y?
9/364
Calculate prob of picking 1 h and 2 q when three letters picked without replacement from {q: 3, h: 1}.
3/4
Calculate prob of picking 2 v when two letters picked without replacement from vvvvuuvvvv.
28/45
Two letters picked without replacement from {f: 1, x: 2, d: 1, h: 2, s: 1, j: 1}. Give prob of picking 2 d.
0
Calculate prob of picking 2 k, 1 e, and 1 y when four letters picked without replacement from bbgkeeeybfy.
0
Three letters picked without replacement from {h: 4, w: 2, l: 4, c: 2}. Give prob of picking 2 l and 1 w.
3/55
Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {w: 4, f: 3, v: 1, t:
|
{
"pile_set_name": "DM Mathematics"
}
|
m of 9, 39, 127, 303, 597, 1039, 1659?
5*v**3 - v**2 - 2*v + 7
What is the x'th term of 118, 178, 238, 298, 358, 418?
60*x + 58
What is the g'th term of -74, -85, -92, -95, -94, -89?
2*g**2 - 17*g - 59
What is the y'th term of 232, 404, 588, 790, 1016, 1272, 1564, 1898?
y**3 + 165*y + 66
What is the y'th term of -517, -2032, -4541, -8032, -12493, -17912, -24277?
2*y**3 - 509*y**2 - 2*y - 8
What is the d'th term of -2, 2, 16, 46, 98, 178, 292, 446?
d**3 - d**2 - 2
What is the s'th term of -2382, -2384, -2386, -2388, -2390, -2392?
-2*s - 2380
What is the h'th term of 62, 64, 66, 68, 70, 72?
2*h + 60
What is the m'th term of 48, 85, 118, 147, 172?
-2*m**2 + 43*m + 7
What is the t'th term of -464, -484, -522, -584, -676?
-t**3 - 3*t**2 - 4*t - 456
What is the f'th term of 883, 1741, 2599?
858*f + 25
What is the u'th term of -26, -31, -38, -47, -58?
-u**2 - 2*u - 23
What is the w'th term of -1924, -1929, -1938, -1951, -1968, -1989, -2014?
-2*w**2 + w - 1923
What is the q'th term of 26, 28, 40, 68, 118?
q**3 - q**2 - 2*q + 28
What is the p'th term of 89, 182, 275, 368, 461?
93*p - 4
What is the d'th term of 2391, 4781, 7171, 9561, 11951?
2390*d + 1
What is the f'th term of 43, 32, 21, 10?
-11*f + 54
What is the h'th term of -8, 3, 40, 115, 240, 427, 688?
2*h**3 + h**2 - 6*h - 5
What is the b'th term of -146, -131, -90, -11, 118, 309?
2*b**3 + b**2 - 2*b - 147
What is the t'th term of -23, -13, 11, 55, 125, 227?
t**3 + t**2 - 25
What is the q'th term of 16, 3, -8, -17?
q**2 - 16*q + 31
What is the l'th term of -11438, -11437, -11436, -11435, -11434, -11433?
l - 11439
What is the w'th term of 1, 16, 31, 46?
15*w - 14
What is the w'th term of -411, -377, -341, -303, -263?
w**2 + 31*w - 443
What is the v'th term of 66, 352, 1132, 2652, 5158, 8896?
41*v**3 + v**2 - 4*v + 28
What is the l'th term of 25, 55, 85?
30*l - 5
What is the z'th term of 16, 55, 142, 295, 532, 871, 1330, 1927?
3*z**3 + 6*z**2 + 7
What is the b'th term of 2, 6, 14, 32, 66, 122, 206, 324?
b**3 - 4*b**2 + 9*b - 4
What is the z'th term of 304, 301, 290, 265, 220, 149, 46, -95?
-z**3 + 2*z**2 - 2*z + 305
What is the o'th term of -19, -81, -185, -331, -519, -749, -1021?
-21*o**2 + o + 1
What is the s'th term of 138, 139, 146, 165, 202?
s**3 - 3*s**2 + 3*s + 137
What is the o'th term of -206, -392, -584, -788, -1010, -1256, -1532, -1844?
-o**3 + 3*o**2 - 188*o - 20
What is the f'th term of -8382, -8383, -8384, -8385, -8386, -8387?
-f - 8381
What is the u'th term of 2787, 2784, 2779, 2772?
-u**2 + 2788
What is the d'th term of 35, 11, -35, -109, -217, -365, -559, -805?
-d**3 - 5*d**2 - 2*d + 43
What is the s'th term of -128, -150, -200, -290, -432, -638, -920, -1290?
-2*s**3 - 2*s**2 - 2*s - 122
What is the f'th term of -106, -108, -110, -112, -114?
-2*f - 104
What is the j'th term of 55, 53, 51, 49?
-2*j + 57
What is the n'th term of -72, -142, -210, -276?
n**2 - 73*n
What is the k'th term of 1112, 1115, 1120, 1127, 1136?
k**2 + 1111
What is the p'th term of 427, 423, 419?
-4*p + 431
What is the x'th term of 8, 22, 52, 104, 184?
x**3 + 2*x**2 + x + 4
What is the m'th term of 99, 86, 71, 54, 35?
-m**2 - 10*m + 110
What is the m'th term of 18, 90, 210, 378, 594, 858, 1170?
24*m**2 - 6
What is the j'th term of -146, -159, -186, -233, -306, -411, -554?
-j**3 - j**2 - 3*j - 141
What is the v'th term of -3, -31, -59?
-28*v + 25
What is the o'th term of 25, 12, 15, 40, 93, 180, 307?
o**3 + 2*o**2 - 26*o + 48
What is the t'th term of -235, -471, -723, -997, -1299, -1635, -2011?
-t**3 - 2*t**2 - 223*t - 9
What is the o'th term of -10, -4, 12, 44, 98, 180?
o**3 - o**2 + 2*o - 12
What is the h'th term of 9, -2, -13, -24?
-11*h + 20
What is the d'th term of -63, -225, -489, -849, -1299, -1833, -2445?
d**3 - 57*d**2 + 2*d - 9
What is the n'th term of 16, 45, 94, 163?
10*n**2 - n + 7
What is the u'th term of 27, 58, 95, 138, 187, 242, 303?
3*u**2 + 22*u + 2
What is the k'th term of -2296, -4605, -6900, -9175, -11424?
k**3 + k**2 - 2319*k + 21
What is the g'th term of 27, 26, 35, 60, 107, 182, 291?
g**3 - g**2 - 5*g + 32
What is the j'th term of -2009, -2010, -2011?
-j - 2008
What is the q'th term of -80, -86, -106, -146, -212, -310?
-q**3 - q**2 + 4*q - 82
What is the h'th term of -617, -1234, -1851?
-617*h
What is the h'th term of 3159, 3162, 3167, 3174, 3183?
h**2 + 3158
What is the j'th term of 17, 63, 145, 269, 441?
j**3 + 12*j**2 + 3*j + 1
What is the w'th term of 155, 154, 161, 182, 223, 290?
w**3 - 2*w**2 - 2*w + 158
What is the a'th term of -19, -17, -17, -19?
-a**2 + 5*a - 23
What is the f'th term of 194, 156, 58, -130, -438?
-5*f**3 - 3*f + 202
What is the z'th term of 391, 784, 1177, 1570, 1963, 2356?
393*z - 2
What is the h'th term of 7072, 14145, 21218, 28291?
7073*h - 1
What is the g'th term of -74, -103, -132, -161?
-29*g - 45
What is the n'th term of -46, -46, -38, -16, 26, 94, 194?
n**3 - 2*n**2 - n - 44
What is the y'th term of 30327, 30329, 30333, 30339, 30347, 30357, 30369?
y**2 - y + 30327
What is the v'th term of 177, 253, 329?
76*v + 101
What is the k'th term of 114, 446, 998, 1770, 2762, 3974?
110*k**2 + 2*k + 2
What is the a'th term of -68, -133, -196, -257, -316?
a**2 - 68*a - 1
What is the c'th term of -418, -415, -412, -409, -406?
3*c - 421
What is the m'th term of -27231, -27227, -27221, -27213, -27203?
m**2 + m - 27233
What is the k'th term of -176, -349, -522, -695, -868?
-173*k - 3
What is the q'th term of -66, -122, -168, -198, -206, -186?
q**3 - q**2 - 60*q - 6
What is the k'th term of 24, 18, 8, -6, -24, -46, -72?
-2*k**2 + 26
What is the c'th term of -104, -90, -76, -62, -48, -34?
14*c - 118
What is the t'th term of -75, -80, -85, -90, -95?
-5*t - 70
What is the n'th term of -5, -5, -3, 1, 7, 15?
n**2 - 3*n - 3
What is the p'th term of 1028, 2049, 3068, 4085, 5100?
-p**2 + 1024*p + 5
What is the r'th term of 13, -229, -889, -2177, -4303, -7477, -11909?
-35*r**3 + r**2 + 47
What is the q'th term of -233, -248, -279, -332, -413?
-q**3 - 2*q**2 - 2*q - 228
What is the j'th term of -24, 0, 96, 294, 624, 1116, 1800?
5*j**3 + 6*j**2 - 29*j - 6
What is the d'th term of -136, -274, -420, -574?
-4*d**2 - 126*d - 6
What is the m'th term of -10, -54, -128, -232?
-15*m**2 + m + 4
What is the l'th term of 537, 1072, 1607, 2142, 2677, 3212?
535*l + 2
What is the a'th term of 22785, 22783, 22781, 22779?
-2*a + 22787
What is the o'th term of 99, 146, 191, 234, 275?
-o**2 + 50*o + 50
What is the c'th term of -309, -1277, -2891, -5151?
-323*c**2 + c + 13
What is the p'th term of 85, 73, 47, 1, -71, -175, -317, -503?
-p**3 - p**2 - 2*p + 89
What is the j'th term of 32, 38, 44, 50, 56?
6*j + 26
What is the h'th term of 641, 637, 631, 623, 613, 601, 587?
-h**2 - h + 643
What is the v'th term of 18, 46, 84, 132, 190?
5*v**2 + 13*v
What is the m'th term of -51, -209, -473, -843?
-53*m**2 + m + 1
What is the q'th term of 138, 271, 406, 543, 682, 823?
q**2 + 130*q + 7
What is the k'th term of 121, 119, 115, 109, 101, 91?
-k**2 + k + 121
What is the l'th term of 28, 43, 58, 73, 88, 103?
15*l + 13
What is the y'th term of -357, -421, -485, -549, -613?
-64*y - 293
What is the n'th term of -146, -310, -476, -644, -814, -986?
-n**2 - 161*n + 16
What is the d'th term of -46106, -46107, -46108?
-d - 46105
What is the b'th term of -28, -54, -70, -70, -48, 2, 86?
b**3 - b**2 - 30*b + 2
What is the j'th term of 40, 155, 344, 607, 944, 1355, 1840?
37*j**2 + 4*j - 1
What is the c'th term of -5432, -5432, -5434, -5438, -5444?
-c**2 + 3*c - 5434
What is the g'th term of -287, -571, -853, -1133, -1411, -1687, -1961?
g**2 - 287*g - 1
What is the l'th term of 172, 262, 352, 442, 532, 622?
90*l + 82
What is the m'th term of 163, 322, 481?
159*m + 4
What is the l'th term of -844, -3380, -7608, -13528, -21140, -30444, -41440?
-846*l**2 + 2*l
What is the m'th term of 8, 21, 42, 71, 108, 153, 206?
4*m**2 + m + 3
What is the f'th term of 175, 164, 147, 124, 95, 60, 19?
-3*f**2 - 2*f + 180
What is the w'th term of 5575, 5574, 5573, 5572, 5571, 5570?
-w + 5576
What is the c'th term of 29, 50, 81, 128, 197, 294, 425?
c**3 - c**2 + 17*c + 12
What is the h'th term of -130, -142, -176, -244, -358, -530?
-2*h**3 + h**2 - h - 128
What is the n'th term of 1560, 1562, 1564, 1566?
2*n + 1558
What is the b'th term of 41,
|
{
"pile_set_name": "DM Mathematics"
}
|
gether 538.12 and 14898.
15436.12
What is -70142 + 1.4?
-70140.6
Add 68485 and -43878.
24607
Work out 16.99 - 2480.4.
-2463.41
What is -0.5 take away -172199519?
172199518.5
What is -8634.9 plus -378?
-9012.9
Calculate -30.1862664 + -1.
-31.1862664
What is the distance between -1488799 and -0.02?
1488798.98
Subtract -0.14123 from -0.611.
-0.46977
What is 425 - 1162164?
-1161739
What is -0.15 less than 1211895165?
1211895165.15
-30+607695
607665
Total of 244631.5 and 0.3.
244631.8
What is -1.568 minus 4794715?
-4794716.568
What is 0.034834 - -0.1861?
0.220934
Put together -6874883478 and -0.1.
-6874883478.1
Work out -15.982 + -1139.8.
-1155.782
What is 0.03756085671 minus 5?
-4.96243914329
Work out 53814587 + 33.4.
53814620.4
What is -627 take away 5.32383?
-632.32383
Subtract 20308843 from 0.5.
-20308842.5
What is -49791860 minus -42.8?
-49791817.2
Calculate 45132 - -6.26.
45138.26
Add together 148363.9063 and -4.
148359.9063
What is the distance between 5326 and -6431099?
6436425
Calculate 0.134 + 70973.
70973.134
Calculate 51.91428 - -1.5784.
53.49268
Work out 0.3 - -146693.8999.
146694.1999
What is 47662924 minus -5?
47662929
Calculate -0.90660461 - -83.1.
82.19339539
3272.21 + -1.02
3271.19
Add together -2 and 8.674454.
6.674454
Calculate -75286517 - 17.
-75286534
Calculate -90 - 8626.4.
-8716.4
What is -5 minus 1824891747?
-1824891752
Put together 1.1026095 and 16.
17.1026095
What is -757 plus 38312.45?
37555.45
What is -1.8 - -490.47616?
488.67616
What is -787879651 - -0.6?
-787879650.4
Total of 0.0658 and -5004.
-5003.9342
What is 0.3 less than -0.610473218?
-0.910473218
What is 259 plus -1283.55?
-1024.55
Work out 1371249 + 10612.
1381861
What is 18268 take away -0.368?
18268.368
Put together -129357231 and -0.2.
-129357231.2
Add together 27 and -114037005.
-114036978
Sum -1 and 15534613.4.
15534612.4
-284+1152950
1152666
Work out -16455.01 + -80.2.
-16535.21
What is 1 plus 44306957?
44306958
Sum 1580 and -2273.
-693
Add together -367798 and 4739.
-363059
Calculate 11221677 - 635.
11221042
Sum 0.0691 and -0.18038.
-0.11128
What is -5011347 - 0.039?
-5011347.039
-1142016 + 1693
-1140323
What is -351673 + 0.207?
-351672.793
What is the difference between -0.1102733 and 7?
7.1102733
What is -600.17 - -65?
-535.17
Work out -147704701 - 10.
-147704711
What is 40526931 + 0.1?
40526931.1
What is 587 minus 0.05419?
586.94581
What is 33724 less than 133219.1?
99495.1
Calculate 0 + -4217629520.
-4217629520
Put together 2730923.5 and -309.
2730614.5
What is -36772 plus -0.584?
-36772.584
Work out 1492 + -1640.363.
-148.363
Work out 6 - -119358.
119364
What is 21.8021 minus -278972?
278993.8021
Add together -205857 and -0.11.
-205857.11
-514.305 - 1041
-1555.305
Calculate -0.09461 + -859.
-859.09461
Work out 0.239 - -43781343.
43781343.239
Subtract 0.05995394 from 0.4.
0.34004606
What is 0.2 less than -3.770955342?
-3.970955342
Put together -9538.7 and 1.277.
-9537.423
What is -1746 less than -0.4748?
1745.5252
What is the difference between 1675434789 and 39?
1675434750
Sum 8125 and 14517.
22642
What is -0.2 plus 513858.9?
513858.7
What is 682 minus -20.9858?
702.9858
What is -220261 minus 80?
-220341
Work out -0.4 - 33566655.
-33566655.4
Work out -486802 + -510.
-487312
What is -0.549787168 minus 155?
-155.549787168
What is 95240.2148 plus 1?
95241.2148
5.2340705 + -0.12
5.1140705
0.1+-3728264
-3728263.9
What is the difference between 0.3 and 4403.856504?
4403.556504
What is -2 + -1003383?
-1003385
What is -72929 + 1.829?
-72927.171
What is the distance between -0.00775 and -5973?
5972.99225
Put together -148.3 and -49918.
-50066.3
Total of -0.01977 and -1447.3282.
-1447.34797
-0.04525 - 0.05425
-0.0995
Add -4113853.24 and 0.2.
-4113853.04
What is 7354417 + 2?
7354419
Sum -3 and 27925.8063.
27922.8063
Calculate -1502.5144 + 54.
-1448.5144
Calculate 24 + 6.21555318.
30.21555318
What is -0.3194655 + 1528?
1527.6805345
What is the difference between 475 and 8.571?
466.429
Calculate 0.05161 - 9.29911.
-9.2475
Work out 13982.67 - -0.1109.
13982.7809
-6077.877+-0.04
-6077.917
Calculate 1004999 + 2.
1005001
Subtract 1 from 614.3330609.
613.3330609
Add 4555.891 and -3342.
1213.891
What is 194204.8 + 0.897?
194205.697
Calculate 26426929 - -22.
26426951
6082 - -120993
127075
-0.027 + 74.758
74.731
Add 7381 and -4986.
2395
3356173+54
3356227
What is 0.36046 less than -14863?
-14863.36046
Put together 9121.099 and 0.
9121.099
What is -1.765 minus -3299?
3297.235
What is 434116 minus -714?
434830
Subtract 0.315 from 165804895.
165804894.685
Put together -0.726 and 158190.
158189.274
Calculate -17063 - 757526.
-774589
Sum -902 and -7653.
-8555
What is -274 less than 68851?
69125
-258116 - -0.1222
-258115.8778
What is 803652 take away -0.3002?
803652.3002
What is 73.579 - -243876?
243949.579
Subtract -906.9642 from -0.3.
906.6642
-18743 + -516.6
-19259.6
Work out 6 - 1.10472407.
4.89527593
Total of 6.6 and 2993.
2999.6
Subtract 202 from 207947501.
207947299
What is -4.2 less than 5682.1?
5686.3
Add together -3.888 and 61931.
61927.112
What is 5 - -9759.4674?
9764.4674
-2775044.9 - -0.09
-2775044.81
Work out 0 + -0.4995357.
-0.4995357
309 + -515.34
-206.34
What is the distance between -847284073 and 12?
847284085
What is -2 + -29857093?
-29857095
What is -580646269 - 0.08?
-580646269.08
Total of 40747.27 and 157.
40904.27
What is the difference between 1.72 and -9052?
9053.72
66.51 + -431.7756
-365.2656
What is 3394257 take away -8761?
3403018
What is 28712 less than -120377?
-149089
Total of -310 and -0.0880484.
-310.0880484
Add together -14 and 754336087.
754336073
Work out 0 - 23531.27007.
-23531.27007
Sum 301715223.5 and -5.
301715218.5
Calculate 0.06270118 + 14.
14.06270118
What is the distance between -956241 and 1.16?
956242.16
-33 - 38228917
-38228950
What is the difference between 0.4 and -33898.622?
33899.022
-14339539.7+-0.1
-14339539.8
Subtract 393998 from -77.
-394075
What is the distance between 65.4 and -17796?
17861.4
What is -24882123952 - 0?
-24882123952
Add together 2 and -504992899.
-504992897
What is 1 less than -33.951872?
-34.951872
Calculate -233.2693725 + 30.
-203.2693725
What is the distance between 259140.9 and -4.5?
259145.4
Add 61 and 2920.166.
2981.166
Calculate 51 - 54472.
-54421
Add together -5 and -16628401.953.
-16628406.953
Add together 0.1 and -16615866.
-16615865.9
Subtract 142.173828 from 0.3.
-141.873828
Sum 48207831 and 0.1.
48207831.1
What is 414.9575578 minus -0.3?
415.2575578
Subtract -11817496.468 from 0.11.
11817496.578
Total of -4 and 1657348712.
1657348708
What is the difference between 0.2 and -21853889?
21853889.2
What is -1139 minus -1954.8?
815.8
Add 592610 and 386.
592996
What is the distance between 67 and 19292079?
19292012
-0.05 - 8628147
-8628147.05
Calculate -123012245.127 - -0.1.
-123012245.027
Total of 9776380 and 0.051.
9776380.051
What is 3868 less than -0.03135?
-3868.03135
What is -389.9 take away -3024779?
3024389.1
Total of 0.02 and 1889.569.
1889.589
Calculate -37774367 - 1.1.
-37774368.1
Total of -117 and -5.185468.
-122.185468
What is 14.136 + 660?
674.136
Put together 3.80229 and -20.
-16.19771
What is -7 less than 844164838?
844164845
-56.547248+-12
-68.547248
Put together -199.791 and 383.
183.209
What is the difference between 0.0856227 and -0.05?
0.1356227
What is 0.1 take away -16722483?
16722483.1
Subtract 2.09364026 from -0.5.
-2.59364026
What is -5 + -4375495?
-4375500
-27202806325 - 4
-27202806329
What is 0.274438997 plus -10?
-9.725561003
Add together -4 and 26801766.
26801762
Calculate -334.52 - 1728337.
-1728671.52
Subtract 23.392 from -10.1.
-33.492
Sum -183.64 and -1310135.
-1310318.64
Add -0.447 and -747.7.
-748.147
Put together -4 and -22.6206165.
-26.6206165
Calculate 0.106383321 + 0.989.
1.095383321
What is 66.72 less than -3247?
-3313.72
Calculate -3 - 4786901.
-4786904
Total of -2072 and -59309.
-61381
26 - 180516529
-180516503
Put together -0.1 and -3.94437947.
-4.04437947
What is 0.39208216 + -0.12?
0.27208216
Subtract 6.9 from 0.08694887.
-6.81305113
Work out 130.338 - -0.032.
130.37
What is 44.26 + 0.1634331?
44.4234331
Sum 1013 and 98.31.
1111.31
Total of 88727862 and -5.
88727857
Subtract 1 from 71519.62.
71518.62
Add together -8562 and -10473223.
-10481785
What
|
{
"pile_set_name": "DM Mathematics"
}
|
ound 60332851 to the nearest one million.
60000000
Round 4.997636362 to 2 dps.
5
Round -0.00326621578 to four dps.
-0.0033
What is -3087683.021 rounded to the nearest 1000000?
-3000000
What is -150853.13 rounded to the nearest 1000?
-151000
What is -266864.937 rounded to the nearest 1000?
-267000
What is -2.17767629 rounded to 4 decimal places?
-2.1777
Round -129177.351 to the nearest 1000.
-129000
What is 0.000000413496925 rounded to 7 decimal places?
0.0000004
What is -4210896.593 rounded to the nearest one thousand?
-4211000
Round 19622.10321 to the nearest 1000.
20000
What is -0.556911397 rounded to 1 decimal place?
-0.6
Round 0.0011977804798 to 4 decimal places.
0.0012
What is 0.019869797 rounded to five dps?
0.01987
What is 79768.0157 rounded to the nearest 1000?
80000
Round -15592850 to the nearest one thousand.
-15593000
What is -0.0000052809133 rounded to six decimal places?
-0.000005
What is -2178366.013 rounded to the nearest 100?
-2178400
What is 399148.844 rounded to the nearest 100?
399100
Round 0.01914366682 to five dps.
0.01914
Round 0.000076525369 to seven decimal places.
0.0000765
What is -1032431.42 rounded to the nearest one hundred?
-1032400
Round 8517.6626 to the nearest one hundred.
8500
What is 503505.003 rounded to the nearest 100?
503500
What is -5308156005 rounded to the nearest 1000000?
-5308000000
Round 23576.463 to the nearest one thousand.
24000
What is 1.10911992 rounded to three decimal places?
1.109
What is -51416904.66 rounded to the nearest ten thousand?
-51420000
What is -77320185 rounded to the nearest 1000000?
-77000000
What is -138538.374 rounded to the nearest 10?
-138540
What is -62.10080508 rounded to the nearest 10?
-60
Round -538818.86 to the nearest one thousand.
-539000
Round 448494.753 to the nearest ten thousand.
450000
Round 948756.5633 to the nearest one hundred thousand.
900000
What is -5213615.9 rounded to the nearest 100?
-5213600
What is -440.087575 rounded to the nearest ten?
-440
What is 0.093800846 rounded to 4 decimal places?
0.0938
What is 0.66461568 rounded to 2 decimal places?
0.66
What is 1482797723 rounded to the nearest 10000?
1482800000
What is 0.0000023535161 rounded to seven dps?
0.0000024
Round 0.00007253081353 to 5 dps.
0.00007
Round 42166417.08 to the nearest 1000.
42166000
Round 118085.737 to the nearest 100.
118100
What is 293.163891 rounded to one dp?
293.2
Round 1.12769758 to two decimal places.
1.13
What is -5066390800 rounded to the nearest one million?
-5066000000
Round -7.5890123 to 2 decimal places.
-7.59
What is 164.706519 rounded to 1 dp?
164.7
What is -574100.589 rounded to the nearest one million?
-1000000
What is -0.0813218593 rounded to 5 dps?
-0.08132
Round 788.0564329 to the nearest integer.
788
Round 0.000077618225 to 5 decimal places.
0.00008
What is 0.030132858 rounded to two decimal places?
0.03
Round -25.8626506 to two decimal places.
-25.86
Round -1292.489381 to the nearest 100.
-1300
What is -1.0968333701 rounded to 5 dps?
-1.09683
What is -0.00000072141868 rounded to seven dps?
-0.0000007
What is 94480300 rounded to the nearest 1000000?
94000000
What is 4.83901889 rounded to 3 decimal places?
4.839
What is -0.00415117693 rounded to 7 dps?
-0.0041512
Round -60969.91442 to the nearest 1000.
-61000
Round -0.0000013361027 to 7 decimal places.
-0.0000013
Round 0.000000354921982 to 7 dps.
0.0000004
Round -12.6668995 to two decimal places.
-12.67
Round 125084.95398 to the nearest 10000.
130000
What is 397.428453 rounded to one decimal place?
397.4
Round 146620724 to the nearest 100000.
146600000
What is -23.2501436 rounded to 0 decimal places?
-23
Round 0.000009123526406 to seven decimal places.
0.0000091
Round -12852195.18 to the nearest 100000.
-12900000
Round 4190666.1 to the nearest one million.
4000000
Round 2.3917912 to one decimal place.
2.4
What is -0.001077903 rounded to seven decimal places?
-0.0010779
Round -0.000385633273 to five dps.
-0.00039
Round -0.00000880240839 to 7 dps.
-0.0000088
What is -3.31342086 rounded to 2 dps?
-3.31
Round -906130.479 to the nearest 1000.
-906000
What is 0.000000435578556 rounded to 7 decimal places?
0.0000004
What is 71.55049 rounded to 1 dp?
71.6
Round -39.71602841 to the nearest ten.
-40
Round 0.00362645533 to 7 dps.
0.0036265
Round -0.0000621425325 to 6 decimal places.
-0.000062
Round 20947594400 to the nearest 1000000.
20948000000
Round 328.6023835 to the nearest ten.
330
Round -12363.13 to the nearest 1000000.
0
Round -59262752.1 to the nearest one million.
-59000000
Round -267781.61 to the nearest 100000.
-300000
Round 14860.20919 to the nearest integer.
14860
What is -0.229852606 rounded to 5 decimal places?
-0.22985
What is 19169.4417 rounded to the nearest ten?
19170
What is -0.000010876321357 rounded to seven decimal places?
-0.0000109
What is 0.0084206354 rounded to six decimal places?
0.008421
Round -0.03183032597 to 3 dps.
-0.032
What is -12920467.7 rounded to the nearest 1000000?
-13000000
What is -123428107.3 rounded to the nearest one million?
-123000000
What is 1221056.1 rounded to the nearest 1000?
1221000
Round 830.5977992 to the nearest ten.
830
Round 0.000124782146 to 6 dps.
0.000125
Round 0.00026583915 to five dps.
0.00027
What is 4557.179181 rounded to the nearest one hundred?
4600
Round 1552.4000083 to the nearest 10.
1550
What is 0.01760802067 rounded to six dps?
0.017608
Round -559969.5449 to the nearest 100000.
-600000
What is 2239970.892 rounded to the nearest 100?
2240000
What is 0.1030683143 rounded to 2 dps?
0.1
What is 0.101777052 rounded to 2 dps?
0.1
Round 1.809990295 to 4 dps.
1.81
What is 4759079.38 rounded to the nearest one hundred thousand?
4800000
What is 112549.32244 rounded to the nearest 10000?
110000
What is -0.003244599761 rounded to seven decimal places?
-0.0032446
Round 3633370.043 to the nearest one thousand.
3633000
What is 136446818 rounded to the nearest one hundred thousand?
136400000
What is 0.1078510394 rounded to three decimal places?
0.108
Round 127565.8163 to the nearest integer.
127566
What is -0.23574311 rounded to three decimal places?
-0.236
Round -621164.753 to the nearest 10000.
-620000
What is 0.05285324622 rounded to four decimal places?
0.0529
Round 3421.438164 to the nearest 10.
3420
What is -25254.315 rounded to the nearest ten thousand?
-30000
What is 0.6686246 rounded to the nearest integer?
1
What is -0.0000361600485 rounded to 7 decimal places?
-0.0000362
What is 0.00053082777 rounded to 7 dps?
0.0005308
What is 0.000214660254 rounded to 5 dps?
0.00021
Round 1.75438824 to two decimal places.
1.75
Round 0.001022058509 to 5 dps.
0.00102
Round 2.8131294 to one decimal place.
2.8
Round -3708.3373 to the nearest 100.
-3700
Round 0.01719356651 to 6 dps.
0.017194
Round 39603.4826 to the nearest ten thousand.
40000
Round 3.719607272 to one decimal place.
3.7
Round 0.000002425595116 to seven dps.
0.0000024
What is -0.00037521171 rounded to four decimal places?
-0.0004
What is 0.000079739517 rounded to 7 decimal places?
0.0000797
Round 503514033 to the nearest 100000.
503500000
Round 47.8324817 to three dps.
47.832
Round 2331.127629 to the nearest one hundred.
2300
Round 0.066233036 to four dps.
0.0662
Round 8.7273556 to 1 dp.
8.7
Round 2013.9912 to the nearest 10.
2010
Round -0.00002244075 to 6 decimal places.
-0.000022
Round -0.0054783979 to five dps.
-0.00548
What is 0.00667991067 rounded to three decimal places?
0.007
What is 2082.8359 rounded to the nearest ten?
2080
Round 195.212756 to the nearest 10.
200
Round -1207.081498 to 0 dps.
-1207
Round -1410851625 to the nearest one million.
-1411000000
What is -140420.64 rounded to the nearest 100?
-140400
What is 915896357 rounded to the nearest 100000?
915900000
Round 1169122.63 to the nearest 100000.
1200000
What is 7497.746458 rounded to the nearest 1000?
7000
Round -866.580285 to the nearest one hundred.
-900
Round 384385086.9 to the nearest one million.
384000000
Round 5535953.874 to the nearest 100000.
5500000
What is 1350086638 rounded to the nearest 10000?
1350090000
Round -28914.54631 to zero decimal places.
-28915
What is -22.02242372 rounded to the nearest 10?
-20
What is -4.03712979 rounded to one decimal place?
-4
What is 74833287 rounded to the nearest 1000000?
75000000
Round 106.05
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-2)*(-1)/(-1). Let u be (-2 - o)/(-2)*-2. Let i be ((-60)/(-50))/(u/(-5)). What is the greatest common factor of 33 and i?
3
Suppose 7*a + 1 = 15. Suppose -6*j + 48 = -a*j - 4*i, -4*j + 3*i + 46 = 0. Suppose 2*m = -2*m + 160. What is the greatest common divisor of j and m?
10
Let d be (-1276)/6*(-111)/74. Calculate the highest common divisor of d and 116.
29
Let h be 15*1/(-2) - (-1)/2. Let v(f) = -5*f - 13. Let x be v(h). What is the greatest common factor of 176 and x?
22
Let h(b) = -7*b**2 + 6*b - 14. Let a(p) = -4*p**2 + 3*p - 7. Let n(k) = 5*a(k) - 3*h(k). Let c be n(4). Calculate the greatest common divisor of c and 33.
11
Let d(j) = -4*j + 108. Let o be d(20). Calculate the highest common factor of 7 and o.
7
Let q(t) = t**2 + 8*t + 4. Let l be 0/1 - (0 - -9). Let g be q(l). Let f be 39/2*(-4)/(-6). Calculate the highest common factor of f and g.
13
Let d(g) = -g - 102. Let u(f) = f + 51. Let o(i) = 3*d(i) + 5*u(i). Let a be o(31). What is the greatest common factor of a and 99?
11
Suppose -4*a - 4 = 0, -426 = -5*x - 17*a + 13*a. What is the greatest common divisor of x and 602?
86
Let i(f) = 1. Let p(w) = 10*w - 4. Let s(m) = 6*i(m) + 3*p(m). Let k be s(2). Calculate the highest common factor of 18 and k.
18
Suppose 0 = 4*i - 427 - 789. Let k be (-1)/(-3) - i/12. Let f = k - -52. What is the highest common factor of f and 9?
9
Let b be (-1 - (-88)/(-2))*(-34)/51. Calculate the highest common factor of b and 42.
6
Suppose 2*k + 18*p - 2272 = 20*p, -5*p + 4526 = 4*k. What is the greatest common factor of k and 54?
54
Let t be 5*(2 - (-1 - -2)). Suppose 5*f + 278 = -5*i + 328, -5*i = 2*f - 5. What is the highest common factor of f and t?
5
Suppose -a - 1 = -8. Let r be (-3)/a + 261/21. What is the highest common divisor of r and 108?
12
Suppose -6*i + 8 + 4 = 0. Let x(h) = -h**3 + 7*h**2 - h - 6. Let k be x(-6). Suppose i*f - k = -2*f. Calculate the highest common divisor of f and 13.
13
Suppose 2*p - 12 = -2*m, 0 = -5*p + 3*m - 0*m + 30. What is the highest common divisor of 96 and p?
6
Suppose -5*k = m - 2*m - 35, 20 = 5*k - 4*m. Suppose -11 = 4*p + 9. Let d = p + k. Calculate the highest common divisor of d and 27.
3
Let l(w) = -w**2 + 2*w - 12. Let p be l(5). Let q = -17 - p. Let b be (-1380)/q*2/(-4). Calculate the highest common divisor of 46 and b.
23
Let x = -413 + 553. What is the greatest common divisor of x and 224?
28
Let p(r) = -16*r + 560. Let d be p(27). Calculate the highest common divisor of d and 1216.
64
Suppose -5*k + 2*d = -729, 3*k - 24*d = -20*d + 429. Calculate the highest common factor of 245 and k.
49
Suppose -690 = -5*s - 18*s. Calculate the greatest common divisor of 1020 and s.
30
Suppose -2*b + 40 = a, 0 = -6*b + 8*b. Let p be 1 - (-318)/(-4)*-2. What is the highest common factor of a and p?
40
Suppose -2835 = 121*y - 142*y. Let c be ((-6)/(-4))/(1/10). Calculate the highest common factor of y and c.
15
Suppose 0*l = -j - 5*l + 109, -415 = -5*j + l. What is the highest common factor of 12 and j?
12
Suppose 6*v - 240 = -0*v. Let b = 11 - 3. Suppose -4*h + 56 = 2*c, 0*h - b = -h - 2*c. What is the highest common divisor of v and h?
8
Let y = 0 - -9. Suppose 13 = 4*w + y. Calculate the highest common divisor of w and 5.
1
Let d(f) = f**3 + 6*f**2 - 8*f + 8. Let p be d(-7). Suppose 5*z - 7 - 158 = 0. Let l = z + -18. Calculate the greatest common divisor of l and p.
15
Let w(f) = -2*f**2 - 2*f - 13. Let k(d) = -5*d**2 - 5*d - 25. Let j(p) = 3*k(p) - 7*w(p). Let t be j(0). What is the highest common factor of t and 16?
16
Let v = 60 - 42. Let b be (-6)/4*(-24)/6. Suppose 131 = b*q - 193. Calculate the greatest common divisor of v and q.
18
Let p = 32 + -70. Let h = p - -113. What is the greatest common factor of 15 and h?
15
Suppose -3*o + 48 = -4*v + 7*v, 12 = 4*v. Let h be 26*(0 - 3/(-2)) - 0. Calculate the greatest common factor of h and o.
13
Let w = -4 - -8. Suppose 4*x = -5*l + 289 - 77, l - 28 = w*x. What is the greatest common factor of l and 16?
8
Let i be 9 + 1*(1 - 1). Suppose -2*f = -o - 32, -1434*o = f - 1437*o - 6. Calculate the highest common divisor of i and f.
9
Let j = -17 - -33. Let d(t) be the third derivative of 11*t**5/6 + t**4/6 - t**3/3 + 12*t**2. Let b be d(1). What is the highest common factor of b and j?
16
Suppose 52 - 168 = 4*s. Let t(u) = u**2 + 24. Let h be t(-6). Let q = s + h. Calculate the greatest common divisor of 248 and q.
31
Let s = -62 + 100. Let v = -8 + s. Calculate the greatest common divisor of 120 and v.
30
Let j be (-1 + 653/2)*102/153. Calculate the greatest common factor of 186 and j.
31
Let z = 1298 - 1182. What is the highest common divisor of 87 and z?
29
Let d be 45/(-30) - (-3)/2. Let z(b) be the first derivative of -b**4/4 - b**3/3 + 8*b + 10. Let g be z(d). What is the highest common factor of g and 24?
8
Suppose -152 = -234*x + 226*x. Calculate the greatest common factor of x and 1.
1
Let b be ((-16)/12)/(-4)*51. Let i = b + -7. Suppose -p = 5*n - 20, -2*n = -p + 5*p + i. Calculate the greatest common factor of n and 45.
5
Let a(c) = 10*c + 2. Let i(m) = -1. Let p(q) = -a(q) + 4*i(q). Let j be (1 - 1)/8 + -6. Let f be p(j). What is the greatest common divisor of f and 135?
27
Suppose -5*p - 104 = -294. Calculate the greatest common factor of 19 and p.
19
Let w = 123 - -53. Calculate the highest common divisor of 22 and w.
22
Let y(z) = z + 14. Let c be ((-4)/6)/(11/(-429)). Let w be y(c). Calculate the greatest common factor of w and 32.
8
Suppose -5*d = 2*l + l - 21, -3*d - 69 = -5*l. Let h = 398 - -62. Suppose -5*f = -20 - h. What is the greatest common factor of f and l?
12
Let m be (-3)/2 - (-110)/4 - 3. Let h = 19 + m. What is the highest common factor of 462 and h?
42
Suppose -4*q = 3*c - 1012, -1047 = -5*q - 3*c + 221. Suppose -3*z - 2*i = -88, -3*i = -8*i - 20. Calculate the greatest common divisor of q and z.
32
Let p = -37 + 34. Let o = 2 - p. Calculate the highest common divisor of o and 15.
5
Let s = -6 - -11. Suppose 0 = -3*u + x + 262, s*u = 2*x + 412 + 26. Suppose -20 = 2*c - u. Calculate the greatest common factor of c and 3.
3
Suppose 5520 = 41*c - 33*c. Calculate the highest common factor of 60 and c.
30
Suppose -314 - 94 = -6*s. Calculate the greatest common factor of s and 544.
68
Let h(v) = 9*v**3 + 5*v**2 - 25*v. Let u be h(7). Calculate the highest common divisor of 41 and u.
41
Let y = -187 - -203. Calculate the greatest common factor of y and 280.
8
Let b = 536 + -504. Calculate the highest common divisor of 1 and b.
1
Suppose 0 = -2*z + 4*f - 4, f = -3*z - z + 1. Suppose 0 = x, z = -k + 5*k - 4*x - 32. Calculate the highest common factor of k and 8.
8
Suppose -4*a + 22 = -14. Let f(n) = -25*n - 2137. Let w be f(-88). Calculate the greatest common divisor of w and a.
9
Suppose -2*f - f + 210 = 0. Calculate the greatest common factor of f and 56.
14
Let t(o) = -o**3 - 6*o**2 - 4*o - 9. Let x be t(-6). Suppose -l - 4*l + x = 0. Suppose -3 + 6 = l*i. Calculate the greatest common divisor of 5 and i.
1
Suppose -y + 36 = 2*a, -19*y + 17*y + 84 = -2*a. Calculate the greatest common divisor of 680 and y.
40
Let u(t) = 3*t + 279. Let d be u(11). Calculate the greatest common factor of d and 39.
39
Let n = -318 + 321. Let d = -4 - -1. Let v be (d/4)/(5/(-140)). What is the greatest common divisor of n and v?
3
Suppose -3*i = -44 - 16. Suppose -i = -b - 3*t, 5*b + 4*t - 56 = b. What is the highest common divisor of 11 and b?
11
Suppose -2*x - 16*x = -252. What is the greatest common factor of 63 and x?
7
Suppose -4*o - 2997 = -r, -5*r + 16*o = 12*o - 14921. What is the highest common divisor of 11 and r?
11
Let y be (-124)/(-6)*(6 - 9). Let z = -26 - y. Calculate the highest common factor of z and 24.
12
Let g = -116 - -166. Suppose h - 3*h + g = 0. Let r be (-2 + 4)/(-6)*0 - -275. Calculate the highest common factor of r and h.
25
Let i(q) = 45*q**2 - 4*q - 4. Let f be i(-2). Suppose -t + 148 = t. Suppose s = f - t. Calculate the greatest common divisor of s and 10.
10
Let q = -243 - -249. Calculate the greatest common divisor of q and 33.
3
Suppose 3*p - 11 = 61. Let d = 2 + 6. Calculate the highest common factor of d and p.
8
Let p = 131 + 40. What is the highest common divisor of 19 and p?
19
Let w = -15 + 42. Suppose -w = -h - 2*h.
|
{
"pile_set_name": "DM Mathematics"
}
|
515 (b) 14 (c) -81
a
What is the third smallest value in 1/3, 4/3, -4/3, 19702?
4/3
Which is the second biggest value? (a) 3135.1087 (b) -1 (c) -2
b
What is the second biggest value in -1/7, 2703.1, 10, 1?
10
Which is the fifth biggest value? (a) 3 (b) 1 (c) -5 (d) 6 (e) -0.22 (f) -21/68
f
What is the biggest value in -1.539824, 5, 11/5?
5
Which is the fourth biggest value? (a) 1/6 (b) 81308 (c) 2 (d) 5 (e) 0.28 (f) -1/6
e
Which is the biggest value? (a) -11/19 (b) -7551 (c) -4/5
a
What is the smallest value in -0.6, 1/4, -7900/19?
-7900/19
What is the second smallest value in -0.03, -7216878, 0.2?
-0.03
What is the second biggest value in 3.426093, 1, 14?
3.426093
What is the third smallest value in 656/359853, 3, -3/8?
3
Which is the fourth biggest value? (a) 13/41 (b) 6 (c) 5 (d) -0.2 (e) -1
d
Which is the fifth biggest value? (a) 5 (b) 2 (c) -1072 (d) -5 (e) 0.2 (f) 0.39
d
What is the smallest value in -23, 2, 0.3, -2/9, 1/192, -4, -11?
-23
What is the biggest value in -3, 1.83, 2, -2, 11/30?
2
Which is the second biggest value? (a) -10 (b) -0.1 (c) 267/119
b
What is the fourth smallest value in 2/15, 6166, 4, -3, -27/49?
4
Which is the fourth biggest value? (a) -1/20 (b) 1/8 (c) -2/17 (d) 45 (e) 431
a
Which is the third smallest value? (a) 0.6 (b) 0.1 (c) 2/57 (d) -0.9 (e) -2/41
c
What is the second smallest value in -0.1, 543109/10, 25?
25
What is the seventh smallest value in -1/3, -1.2, -0.6, -1/4, 101, -0.1, -5/3?
101
Which is the biggest value? (a) -0.5 (b) 3 (c) -2 (d) 35889
d
Which is the third smallest value? (a) -1 (b) -173 (c) 1 (d) -0.576 (e) -3/4
e
Which is the smallest value? (a) 5/6 (b) 32 (c) 1/3 (d) -6788 (e) 1/4
d
What is the third smallest value in -0.08, 3/150593, 1/4, 1?
1/4
Which is the third smallest value? (a) -986 (b) 0.5 (c) -0.5 (d) 89713
b
Which is the second biggest value? (a) 5 (b) -4/7 (c) 0.06 (d) -0.01 (e) 1 (f) -4 (g) 882
a
Which is the seventh smallest value? (a) -5 (b) -0.2 (c) -1 (d) -11 (e) 3 (f) 501 (g) 9
f
Which is the fourth biggest value? (a) -3/5 (b) 0 (c) 4 (d) 0.06 (e) -63 (f) 1/19922
b
Which is the fifth smallest value? (a) -2194 (b) -4 (c) 3 (d) -0.3 (e) 80 (f) -1/5
c
What is the fifth smallest value in -2/11, -4, 2, -351, -84/25, 12, -2/15?
-2/15
Which is the sixth smallest value? (a) -1 (b) 2 (c) -0.3 (d) -3 (e) -2/13 (f) -5147 (g) -2
e
What is the second biggest value in -0.04, -5, -2/261, -1/150, -0.5, 1?
-1/150
What is the fifth biggest value in -2/11, 0.2, -3, -1.7, 128?
-3
Which is the fourth smallest value? (a) 1382 (b) 1/23 (c) 9 (d) -91
a
Which is the biggest value? (a) -38 (b) 2.2 (c) 7 (d) 2/11 (e) 2/7 (f) -43
c
Which is the third biggest value? (a) 0.2 (b) 2.5 (c) -13584
c
Which is the fourth biggest value? (a) 0.1 (b) 428 (c) -7 (d) 0.11 (e) 2
a
Which is the second smallest value? (a) 3 (b) -0.5 (c) -2/23 (d) 110755/4
c
Which is the second smallest value? (a) 140358 (b) 1/3 (c) -5 (d) -2/55
d
Which is the biggest value? (a) -6 (b) 88 (c) -4/4297
b
Which is the second biggest value? (a) -2.6 (b) -0.1 (c) -162954
a
Which is the second smallest value? (a) -1/12 (b) 0.03 (c) -705.143
a
What is the fourth biggest value in 46865, 1/27, 15, -0.1?
-0.1
What is the smallest value in -1/1731, -7418.3, -0.1?
-7418.3
What is the second biggest value in 47, 3, -0.1, -0.2122, 30, 1, -4?
30
What is the second biggest value in -90180, -23, 4?
-23
What is the fifth biggest value in 4, 1041, -3, -0.2, 2/11, 0.05, 1?
0.05
What is the second biggest value in 15, -3, 3, -2, 192, 3/10, 0.2?
15
What is the third biggest value in -0.3, -0.09, 10806, 1.6, 0?
0
What is the third smallest value in 5, 141870, -42?
141870
What is the third smallest value in 2, -2, 20.7575, 4, -1.04?
2
What is the fourth smallest value in -29, 81, 1, 100, -9?
81
Which is the third biggest value? (a) -0.2 (b) -8069/229 (c) 0.4 (d) 1
a
Which is the fourth biggest value? (a) -42379 (b) -195 (c) -3 (d) -0.2 (e) 2/11
b
What is the seventh biggest value in -2/179, 5, -2/9, -0.12, 16, 2/5, -5?
-5
Which is the third smallest value? (a) 3/185 (b) -2 (c) 10 (d) 7 (e) 6 (f) 1 (g) -5
a
Which is the third biggest value? (a) 5 (b) 0.81 (c) 5/3 (d) 4/9 (e) 0.01445 (f) -1 (g) -5
b
What is the third smallest value in 8, 0.35, 168/145?
8
What is the third biggest value in -0.4, 623, -0.3, -0.146, 3?
-0.146
What is the smallest value in 0, 0.416, -1/281, 0.2, 1/3?
-1/281
Which is the third smallest value? (a) -0.2 (b) 5 (c) 0.309644
b
What is the smallest value in -4, -202, -5, -3400?
-3400
What is the third smallest value in -3, 10/15123, -5, -2/3?
-2/3
Which is the third biggest value? (a) -6/268009 (b) -39 (c) 0.3 (d) 2/7
a
What is the third smallest value in -0.03, 1/26, 0.033, 5/2, -1?
0.033
What is the third biggest value in -0.3, -0.4, 0, 0.4, -3/5, 2/1727?
0
What is the fourth biggest value in -2/5, -37, -41, 42, 4, 3/5?
-2/5
Which is the second biggest value? (a) 88 (b) -3 (c) -72416
b
Which is the third biggest value? (a) -2368.844 (b) -1 (c) -4
a
Which is the fourth biggest value? (a) -3 (b) 1/5 (c) -14 (d) 0.4 (e) 4 (f) 11
b
What is the third biggest value in 2442, 0.3, -38, 1?
0.3
What is the fourth smallest value in -2/5, 93, 74/15, -3, -2, -4/5?
-2/5
What is the third biggest value in -1, -1/10, -25/2, 14/1537?
-1
What is the second biggest value in -726, 78/5, -23?
-23
Which is the second biggest value? (a) -3.2 (b) 3 (c) -130 (d) -136 (e) -5 (f) -3 (g) 2/3
g
Which is the biggest value? (a) -1390.95 (b) -0.3 (c) -0.09
c
Which is the smallest value? (a) -467/3 (b) 2 (c) -2/3 (d) -0.85 (e) -2/7
a
What is the second smallest value in 3, -3, 2/9, -2/7, 1.85904?
-2/7
Which is the fourth biggest value? (a) 15/2 (b) 2/3 (c) 2 (d) 23.1 (e) -53
b
Which is the fourth smallest value? (a) 31 (b) -3/2 (c) 32/9 (d) 4 (e) -101 (f) 0
c
What is the second smallest value in 0.1, -3036, -57?
-57
What is the sixth biggest value in 2/7, -4, -1/13, -0.2, -2, -0.0744?
-4
Which is the smallest value? (a) 54 (b) 42 (c) 2/7 (d) 3/5 (e) 1 (f) -0.3
f
Which is the fourth smallest value? (a) -0.4 (b) -0.2 (c) 131 (d) 3 (e) 2 (f) 1 (g) -22
f
Which is the second biggest value? (a) 1/7 (b) 0 (c) 3/5 (d) -5 (e) -175 (f) -1 (g) -2/23
a
What is the biggest value in 4, 73, -0.1, 3, -28, 2/5?
73
What is the third smallest value in 9860542, -0.3, 1/6?
9860542
Which is the fourth biggest value? (a) 7 (b) 2 (c) 0 (d) 9.04 (e) -1/18 (f) 14
b
What is the second biggest value in 0, 26, 318.576?
26
Which is the second smallest value? (a) -7767 (b) -22397 (c) -3
a
What is the third smallest value in 10, 3075004, -1?
3075004
Which is the third smallest value? (a) 1095 (b) -2 (c) 102 (d) -14 (e) 0.02
e
What is the second smallest value in -3, 11, -5, -1, 0.8, 8.85, 2/13?
-3
Which is the smallest value? (a) -4/5 (b) 5806.018 (c) 3
a
Which is the fifth smallest value? (a) -1/3 (b) -4 (c) 7/9 (d) -1/4 (e) 2/5 (f) -0.21 (g) -3/7
f
Which is the fourth biggest value? (a) -71 (b) 1657 (c) -0.1 (d) 2/11 (e) 3/8
c
What is the third biggest value in -2, -1, 25834, -0.08?
-1
What is the sixth biggest value in -0.5, 213, -7, 1572, 0.4, 1, -1/5?
-0.5
What is the fifth smallest value in -0.2, -3, -0.4, 500, 1/869?
500
What is the fourth biggest value in -29, -5, 20, -10/51?
-29
What is the second biggest value in -2, -5, 1.92998723?
-2
What is the second smallest value in 33357/34, -5, 8, -6?
-5
What is the third biggest value in 13, 1/3, -16, 3/4, -0.05, 0?
1/3
What is the second biggest value in -2/9, -4289/530, 3?
-2/9
Which is the smallest value? (a) 0.3 (b) -7/25 (c) 0.03 (d) 1/2 (e) -127 (f) 1
e
Which is the smallest value? (a) 278 (b) -1/2 (c) 4 (d) -16 (e) 2/19 (f) -2/3 (g) -3
d
What is the fifth biggest value in 5, 13/3, 0.1, -1/6, 0.01, 7/394, 1/5?
7/394
What is the fourth smallest value in -0.01, 13, 406, -0.2, 1/9, -5?
1/9
Which is the fifth biggest value? (a) -2/9 (b) 0.05 (c) 3.1 (d) -190/9 (e) 2
d
What is the second biggest value in 7.9, -2, 10/7?
10/7
Which is the fifth biggest value? (a) -36 (b) 0.4 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 3348*y**2 + 765267*y - 38530422.
3*(y - 826)*(y - 219)*(y - 71)
Suppose -2*d**3/15 + 460197998*d**2/15 - 8824258300166666*d/5 + 8824258146767334/5 = 0. Calculate d.
1, 115049499
Find d such that -5*d**4 - 6155*d**3 + 6135090*d**2 - 30483720*d - 36624960 = 0.
-1884, -1, 6, 648
Determine q so that 2*q**4 - 60674554*q**3/7 + 65739152200886*q**2/7 + 49639997773662*q + 93913532728020/7 = 0.
-5, -2/7, 2166951
Let 5*p**2 - 45705*p + 1774890 = 0. What is p?
39, 9102
Solve i**4/8 + 63527*i**3/8 + 952743*i**2/8 + 4001305*i/8 + 389011 = 0 for i.
-63512, -7, -1
Factor -23*n**2/2 + 12254973*n/2 + 532825.
-(n - 532825)*(23*n + 2)/2
Factor o**2/5 + 842591*o/5 - 5898186/5.
(o - 7)*(o + 842598)/5
Let g**2 + 773385*g + 15467300 = 0. Calculate g.
-773365, -20
Let -9*c**4 - 3782175*c**3 - 2521437*c**2 + 3782175*c + 2521446 = 0. What is c?
-420241, -1, -2/3, 1
Let 4*m**3 - 8080*m**2 - 707284*m + 715360 = 0. Calculate m.
-85, 1, 2104
Suppose 63*d**4 + 2981694*d**3 + 4401411*d**2 = 0. What is d?
-47327, -31/21, 0
Suppose -1058*m**3/9 - 8236714*m**2/9 - 1432448*m/9 - 6920 = 0. What is m?
-7785, -2/23
Solve -t**2/3 - 1418*t/3 - 15235 = 0.
-1385, -33
Suppose 5*n**3 - 160700*n**2 + 1335805625*n - 710123741250 = 0. What is n?
570, 15785
Determine k so that k**4/2 - 61*k**3 + 4341*k**2/2 - 10710*k - 390150 = 0.
-10, 30, 51
Factor j**4/3 - 2608*j**3/3 + 444608*j**2 + 478035968*j/3 + 33597423616/3.
(j - 1432)**2*(j + 128)**2/3
Factor 4*r**3 - 72*r**2 - 13120*r - 175104.
4*(r - 72)*(r + 16)*(r + 38)
Factor v**3/2 - 75355*v**2/2 + 1423091527*v/2 - 131696570973/2.
(v - 37631)**2*(v - 93)/2
Factor -3*r**2 - 8515072*r - 2838357.
-(r + 2838357)*(3*r + 1)
Find v, given that -5*v**5 - 1234745*v**4 - 76225438920*v**3 + 533648455180*v**2 + 609872659360*v = 0.
-123478, -1, 0, 8
Suppose -b**3/7 - 19573*b**2/7 - 3107004*b/7 - 2562516 = 0. Calculate b.
-19413, -154, -6
What is x in 4*x**5 - 8760*x**4 + 78600*x**3 - 183280*x**2 + 165780*x - 52344 = 0?
1, 6, 2181
Factor n**2/2 - 1489601*n - 32771343/2.
(n - 2979213)*(n + 11)/2
Factor 4*r**4 - 60*r**3 - 3692*r**2 + 7548*r - 3800.
4*(r - 38)*(r - 1)**2*(r + 25)
Determine x, given that -4*x**4 - 600*x**3 + 3469824*x**2 - 1092187368*x + 3245350212 = 0.
-1131, 3, 489
Factor g**4 + 167*g**3 + 6390*g**2 - 166592*g - 9622816.
(g - 34)*(g + 49)*(g + 76)**2
Factor 3*b**5 - 54186*b**4 + 244731060*b**3 - 489245400*b**2.
3*b**2*(b - 9030)**2*(b - 2)
Solve 4*f**2 - 9076*f + 126280 = 0.
14, 2255
Factor 2*k**2 + 38708084*k + 187289470868882.
2*(k + 9677021)**2
Let -i**5/2 + 493*i**4/2 - 42209*i**3/2 - 176281*i**2/2 - 23589*i + 132588 = 0. What is i?
-3, -2, 1, 116, 381
What is j in -j**3/4 - 6393*j**2/2 + 179187*j/4 - 41600 = 0?
-12800, 1, 13
Find y such that 2*y**4/5 + 39972*y**3/5 - 6853382*y**2/5 - 6893352*y/5 = 0.
-20156, -1, 0, 171
Factor 1197*i**3/8 + 3048*i**2 - 52359*i/8 + 13389/4.
3*(i - 1)**2*(399*i + 8926)/8
Solve 1439*l**2/4 + 3969*l/4 - 261 = 0 for l.
-3, 348/1439
Determine i so that -2*i**4/7 + 137210*i**3/7 + 137212*i**2/7 = 0.
-1, 0, 68606
Find u, given that -15*u**3 + 640993*u**2 - 769173*u + 128195 = 0.
1/5, 1, 128195/3
What is w in -5*w**5 + 2075*w**4 + 14830*w**3 - 25180*w**2 - 59240*w + 67520 = 0?
-8, -2, 1, 2, 422
Let 2*o**2/9 - 253315556*o/9 + 8021096363948642/9 = 0. Calculate o.
63328889
Suppose g**3/3 - 2950*g**2 + 596367*g = 0. What is g?
0, 207, 8643
Let 129*i**3 - 10365270*i**2 - 723159*i = 0. Calculate i.
-3/43, 0, 80351
Factor 11*w**2 + 12172082*w/3 - 368851/3.
(w + 368851)*(33*w - 1)/3
Factor f**2 - 520399*f + 8326128.
(f - 520383)*(f - 16)
Factor 3*v**2 + 43048092*v + 154428185403372.
3*(v + 7174682)**2
Suppose 874723*m**3 + 5248336*m**2 + 6997772*m - 16 = 0. What is m?
-4, -2, 2/874723
Factor -i**3/10 - 109*i**2/5 + 937*i/2 - 1785.
-(i - 15)*(i - 5)*(i + 238)/10
Find i, given that 2*i**4/9 - 12974*i**3/9 + 1012444*i**2 - 2248898728*i/9 + 187631882800/9 = 0.
254, 5725
Find m, given that m**2/3 + 1841*m/3 + 108580/3 = 0.
-1780, -61
Determine n so that -n**3 + 19901*n**2 + 3350181*n/4 + 4846149/4 = 0.
-81/2, -3/2, 19943
Suppose -2*b**3 - 3534*b**2 - 1561140*b = 0. Calculate b.
-885, -882, 0
What is l in l**4/2 - 5301*l**3/2 + 6759925*l**2/2 + 712382157*l/2 - 3897261535 = 0?
-107, 10, 2699
Solve -z**5/6 + 2437*z**4/2 - 13366333*z**3/6 + 4448135*z**2/2 + 13359025*z/3 = 0.
-1, 0, 2, 3655
Solve 2*s**3/15 - 1226708*s**2/5 - 2453424*s/5 + 29441024/15 = 0.
-4, 2, 1840064
Determine j so that 2*j**2 - 1010162*j - 5050860 = 0.
-5, 505086
Let -h**5/6 - 739*h**4/6 - 5867*h**3/6 - 13901*h**2/6 - 1462*h = 0. What is h?
-731, -4, -3, -1, 0
Factor -p**2/3 - 209695*p/3 - 7338100/3.
-(p + 35)*(p + 209660)/3
Let -46*k**3/5 + 16550*k**2 - 18340364*k/5 - 319088 = 0. Calculate k.
-2/23, 259, 1540
Factor -h**3 - 656620*h**2 - 107781546277*h + 1940280583698.
-(h - 18)*(h + 328319)**2
Suppose -3*r**4 - 2003751*r**3 + 2003757*r**2 + 2003751*r - 2003754 = 0. What is r?
-667918, -1, 1
Suppose -w**4/4 - 192111*w**3/4 - 9227907661*w**2/4 - 119927645841*w/4 + 64577872807/2 = 0. What is w?
-96049, -14, 1
Let 2*m**2/13 - 47860*m/13 - 1437600/13 = 0. What is m?
-30, 23960
Determine v so that -5*v**4/3 + 15811*v**3 - 112508701*v**2/3 + 22489725*v + 14997366 = 0.
-2/5, 1, 4743
Let 3*b**3 - 199977*b**2 - 37702275*b + 37902249 = 0. Calculate b.
-189, 1, 66847
Suppose -5*r**3/4 - 88*r**2 + 30721*r/4 - 61083 = 0. Calculate r.
-617/5, 9, 44
What is c in -4*c**2 + 38560*c - 961500 = 0?
25, 9615
Factor y**2/6 + 76213*y/6 - 38107/3.
(y - 1)*(y + 76214)/6
Find c such that 2*c**2/5 - 74818*c/5 + 13995096/5 = 0.
188, 37221
Let -q**3/5 + 2276*q**2 + 68311*q/5 + 11386 = 0. Calculate q.
-5, -1, 11386
Factor -3*k**2 + 14055*k + 72269928.
-3*(k - 7781)*(k + 3096)
Determine x so that 2*x**3/15 - 4068*x**2 + 156316342*x/5 - 53580123688/15 = 0.
116, 15197
Suppose -4*c**2/5 + 2866376*c/5 - 8025696 = 0. Calculate c.
14, 716580
Factor j**2/5 + 222700792*j/5 + 12398910689356816/5.
(j + 111350396)**2/5
Factor -2*g**2/11 + 30957562*g/11 + 61915132/11.
-2*(g - 15478783)*(g + 2)/11
Find l, given that l**5/4 - 321*l**4/4 + 32463*l**3/4 - 1041899*l**2/4 - 268671*l = 0.
-1, 0, 83, 156
Solve 3*w**3/5 - 71247*w**2/5 + 56988*w = 0 for w.
0, 4, 23745
Factor -2*d**4/9 + 1306*d**3/9 - 218542*d**2/9 + 10904726*d/9.
-2*d*(d - 427)*(d - 113)**2/9
Suppose 10*k**2/3 + 7587*k - 75438 = 0. Calculate k.
-2286, 99/10
Solve s**5 - 5807*s**4/9 + 34339*s**3/3 - 118537*s**2/9 + 7106*s/3 = 0.
0, 2/9, 1, 17, 627
Determine y, given that 10*y**4/9 + 4*y**3 - 142*y**2/9 - 64*y - 32 = 0.
-4, -3, -3/5, 4
Determine b so that 10*b**4/7 + 4136*b**3/7 - 10018*b**2/7 - 14144*b/7 = 0.
-416, -1, 0, 17/5
Find m such that 4*m**3 - 3515*m**2 + 10517*m - 7006 = 0.
1, 2, 3503/4
Factor t**2/5 - 5971274*t/5 + 8914028295769/5.
(t - 2985637)**2/5
Determine d so that 4*d**3 - 817760*d**2 - 11449552*d + 26170112 = 0.
-16, 2, 204454
Factor -2*t**2/19 + 3182016*t/19 + 6364040/19.
-2*(t - 1591010)*(t + 2)/19
Solve -108*v**5/7 + 444*v**4 - 19268*v**3/7 + 2908*v**2/7 + 9680*v - 54400/7 = 0.
-17/9, 1, 5/3, 8, 20
Let 2*s**5/11 + 28950*s**4/11 - 23971620*s**3/11 + 284878960*s**2/11 - 1135807680*s/11 + 1511937792/11 = 0. What is s?
-15261, 4, 774
Factor -45*b**2 - 4516689*b + 602226.
-3*(b + 100371)*(15*b - 2)
Factor 4*x**2 + 428960*x - 5148096.
4*(x - 12)*(x + 107252)
What is n in -5*n**5/3 - 187250*n**4/3 - 5296715*n**3 - 374438900*n**2/3 - 1554416000*n/3 - 398560000 = 0?
-37365, -40, -4, -1
Find x, given that x**4 + 6609605*x**3 + 39657603*x**2 + 59486395*x + 26438396 = 0.
-6609599, -4, -1
Solve 2*t**5/13 + 862408*t**4/13 + 1724808*t**3/13 - 4*t**2/13 - 1724810*t/13 - 862404/13 = 0 for t.
-431202, -1, 1
Find y, given that -y**2/2 - 596051*y - 1192100 = 0.
-1192100, -2
Determine m so that m**2/2 + 9531*m/2 - 973100 = 0.
-9731, 200
Find h, given that -4236*h**3/5 + 13359*h**2/5 - 9264*h/5 - 204 = 0.
-34/353, 5/4, 2
Find f, given that -24*f**4/7 + 33048076*f**3/7 + 60588204*f**2/7 + 22032084*f/7 - 786860 = 0.
-1, 1/6, 1377005
Solve -5*g**4 + 47665*g**3 - 4531615*g**2 + 17507015*g - 13023060 = 0 for g.
1, 3, 92, 9437
Solve -b**2/3 - 84530*b + 1268025 = 0 for b.
-253605, 15
Determine i, given that -6*i**4 - 2888*i**3/3 - 153892*i**2/3 - 2694520*i/3 + 1544950/3 = 0.
-55, -53, 5/9
Solve -t**4/5 + 7306*t**3/5 - 2182749*t**2/5 + 4343584*t/
|
{
"pile_set_name": "DM Mathematics"
}
|
*s**2 + 0*s)*(66*s - 110*s + 93*s).
98*s**3
Expand (3*n - 5 + 0*n**2 + 6 + n**2)*(-6*n**3 + 0*n**3 + 0*n**3 + (-3*n**2 + 4*n**2 + 0*n**2)*(-4*n + 4*n + 4*n)).
-2*n**5 - 6*n**4 - 2*n**3
Expand 561*a - 354*a + 1478*a + (2*a + 1 - 1)*(-5 - 2 + 5).
1681*a
Expand 5*q**4 + 3*q**5 - 7*q**5 - 3*q**4 - q**5 + q**5 - 2*q**5 + (-8728*q**3 + 104*q**4 + 8728*q**3)*(6*q - 3*q - 2*q).
98*q**5 + 2*q**4
Expand (1 - 1 + 1)*(10 - 10*c - 10) - c + 2 - 2 + 3 - 2 - c + 2.
-12*c + 3
Expand (-8*y + 18 - 18)*(y**3 - 2*y**3 + 2*y**3) + 61*y**2 - 12*y**4 - 61*y**2.
-20*y**4
Expand (-2 - 2 + 2)*(-q**3 + q**3 - 2*q**4) + 0*q + 0*q - 2*q**4 + 4*q**4 - q**4 - 2*q**4 - 6*q**4 + 7*q**4 + 8*q**4 + (-2*q**3 + 2*q**3 - 2*q**4)*(0 - 2 + 3).
10*q**4
Expand (-7 + 7 - 2*s)*(1 + 2*s - 1)*(2 - s - 2) + 4*s**3 + 0*s**2 + 0*s**2.
8*s**3
Expand (2 - 2 - k)*(-1129*k**4 + 21440 - 21440).
1129*k**5
Expand (-6 + 2*h**2 + 6)*(-5*h + h + 2*h) + 2*h**2 - 4*h**3 - 2*h**2 + (3*h + 3*h + 0*h)*(-2 - h + 2)*(-h - 2*h + 4*h).
-14*h**3
Expand 3*q - 5*q + q + (0 + 3 - 1)*(0 + 0 - q) + (3 + 1 - 2)*(55*q - 13*q + 90*q).
261*q
Expand (-1 + 0 + 2)*(0*l + 3*l - 2*l)*(6*l - 21*l + 5 + 19*l).
4*l**2 + 5*l
Expand (4 + 2 - 3)*(109*l**3 + 172*l**3 - 7*l**3 - 9*l**3).
795*l**3
Expand -6*c**4 - 13*c**4 + 9*c**4 + (4*c + 0 - 4 - 2*c)*(c**3 + 4*c**2 - 4*c**2).
-8*c**4 - 4*c**3
Expand (-6 + 6 - 7*o)*(6 - 10 - 11).
105*o
Expand (-218 - 14*b**2 + 218)*(b + b - 3*b) + (-b - b + b**2 + 0*b)*((2 - 6 + 5)*(0 + 0 + 3*b) + 2 - 2 + b + (-2 + 4 - 1)*(b + 3 - 3) + 2 - 2 + 2*b).
21*b**3 - 14*b**2
Expand (2*r**3 - 5*r**3 + 0*r**3)*(3*r - 3*r - 2*r)*(5*r + 10*r - 5*r).
60*r**5
Expand ((7*d**4 + 6*d**3 - 6*d**3)*(-2 + 5 - 5 + (2 - 5 + 5)*(0 - 1 + 3)) - 2*d**4 + 6*d**4 - 3*d**4 + (3*d**4 - 4*d**4 + 0*d**4)*(1 + 2 - 1))*(-2 + 2 - 2).
-26*d**4
Expand -2*w**5 + 3*w**5 - 3*w**5 - 3*w**5 + 2*w**5 + 2*w**5 + (2*w**3 - w**4 - 2*w**3)*(-1 - 2*w + 1) + (-2 - 313*w**2 + 3 - 2*w**4 + 318*w**2)*(8*w + 7 - 7).
-15*w**5 + 40*w**3 + 8*w
Expand (9 + 6 - 12)*(2*a - 7*a + a)*(3 - 7 + 2).
24*a
Expand -5*r**3 + r**3 + r**3 - 1 + 1 + r**3 + (2*r**2 + r**2 - 4*r**2)*(-1 + 1 - r) - r**2 + r**3 + r**2 + 2*r**3 - r**3 - 2*r**3.
-r**3
Expand -2*q**3 - q**3 + q**3 - 5*q**3 + 3*q**3 + 3*q**3 + (2 + 1 - 2)*(-2*q**3 + 2*q**3 + 2*q**3) - 50*q**3 + 68*q**2 + 52*q**3 - 11*q**2.
3*q**3 + 57*q**2
Expand 17*z**3 + 10*z + 2*z**3 - 12*z + (-5*z**2 + 5*z**2 - z**2)*(-5*z + 6*z + 3*z) + 3*z**3 - 2*z**3 + 0*z**3.
16*z**3 - 2*z
Expand (-4 + 0 + 2)*(-2*y + 0*y + y) - 1 + y - y + y.
3*y - 1
Expand -5 + 5 + 2*x**5 + (-x**2 + x**2 - 3*x**2)*(-31*x**3 + 51*x**3 - 31*x**3).
35*x**5
Expand (-1 + 4 - 9)*(-33 - 5 + 6)*(-2*w + 2*w + w**5).
192*w**5
Expand -t**3 - t**3 + t**3 + (9*t - 6*t + 5*t)*(-t**2 - 2*t**2 + 2*t**2) + (-2*t**3 - 5*t**3 + 4*t**3)*(6 - 3 - 5).
-3*t**3
Expand ((-10*l + l - 2*l)*(3*l - 3*l + l) - 5*l**2 + 3*l**2 + l**2)*(-2*l + 6*l + 2*l).
-72*l**3
Expand (-4*p - 5 + 5)*(3*p - 3*p - 3*p)*(-4 + 5 - 5).
-48*p**2
Expand (-8*a**3 + 15*a**2 - 15*a**2)*(-2*a + 2*a + 2*a).
-16*a**4
Expand -8*k**2 + 4*k**2 - 26 + 5*k**2 + (-3*k + 14*k**2 + 3*k)*(1 - 5 + 2) + (0*k + k - 3*k)*(3 - 3 - 2*k).
-23*k**2 - 26
Expand (-2*i**4 + 3*i**2 - 3*i**2)*(-9 - 4*i + 9)*(45 + 6 - 4).
376*i**5
Expand (109 - 164 + 99)*(-h**2 + 4*h**2 - 2*h**2).
44*h**2
Expand (0 + 1 - 4)*(3 - 4 - 1)*(240 - 105 - 124 - 23*u).
-138*u + 66
Expand (4*a - 3*a + a)*(37*a + 18*a**3 - 37*a) + 0*a**4 + 5*a**4 - 4*a**4 - 8*a**2 + 8*a**2 + 3*a**4 + (-3*a**3 + 4*a**3 - 2*a**3)*(-1 - a + 1).
41*a**4
Expand -32*b**2 + 16*b**2 + 14*b**2 + (-2*b - b + b)*(3*b + 2*b - 6*b) + 5*b**2 + 4*b**2 - 6*b**2.
3*b**2
Expand (-3 + 0 + 2)*(2 - 2 + 2*s) + 2*s + 2*s - 3*s + 4*s + 1 - 1 + (2*s + 0*s - 3*s)*(1 - 14 + 2).
14*s
Expand 16*q**5 + 66*q**2 - 66*q**2 - 1 + 1 - q**5 + (4*q**2 + 2*q**3 - 4*q**2)*(3*q**2 - 2*q**2 + q**2) + 4*q**5 + q**5 - 2*q**5.
22*q**5
Expand (896*x**2 - 449*x**2 + 42*x**3 - 450*x**2)*(2*x**2 - 3 + 3).
84*x**5 - 6*x**4
Expand 4*a - 4*a - 3*a**4 + (0 + a + 0)*(6*a + a**3 + 8*a - 11*a).
-2*a**4 + 3*a**2
Expand (2*z - z + z)*((-1 - 2 + 4)*(0 + 2 - 3) - 19 + 8 + 56).
88*z
Expand 3*n**4 - 8*n**4 + 0*n**4 + 10*n**4 - 6*n + 6*n + (6*n - 3*n - n)*(-3*n**3 + 3*n**3 - n**3) - 3 - n**4 + 3.
2*n**4
Expand ((-4 + 6 - 1)*(-2 - 1 + 5) + 2 + 2 + 2)*(3 + 6*m - 3).
48*m
Expand (n**2 - n**2 - n**2)*(185*n - 113*n - 124*n).
52*n**3
Expand (-1 - 2*u**2 + 1)*(0 - 2*u + 0) + 319*u**3 - 577*u**3 + 399*u**3.
145*u**3
Expand (3*g - 3*g**2 - 3*g)*(0 - 6*g + 0)*(-3 - 7 - 1).
-198*g**3
Expand (4*h**3 - 2*h**3 - h**3)*(0 - 1 - 19) - 23*h**3 + 41*h**3 - 37*h**3.
-39*h**3
Expand (2*j**2 + 0*j + 0*j)*(1 - 3 + 1) + 3*j**2 + j**2 + 5*j**2 + 7*j**2 - 203*j + 203*j.
14*j**2
Expand (2*d**2 - 2*d**5 - 2*d**2 - 2*d)*(-1 + 0 + 2) + 0*d**5 + 4*d**5 - d**5 + (-d**3 + 0*d**3 + 0*d**3)*(-52*d**2 - 45*d**2 + 27*d**2).
71*d**5 - 2*d
Expand (-5*h**2 + h**2 + h**2)*(h - 2 + 2) + (0 + 0 + 2*h)*(-2*h**2 + 3*h**2 + 0*h**2) + (1 + 1 - 3)*(5*h**3 + 3*h**3 - 3*h**3).
-6*h**3
Expand 68 - 68 + 20*m**3 + (0 + 1 + 1)*(-4*m**3 + 3*m**3 + 2*m**3).
22*m**3
Expand (-2*d + 2*d + 2*d)*(-1 - 2 + 1)*(55 - 10 - 116).
284*d
Expand (-3 + h**2 + 3)*(-38*h - 11*h**3 + 38*h).
-11*h**5
Expand (175*x - 44*x + 32*x)*(x**3 - 3*x**3 - x**3) + 1 - 1 + x**4.
-488*x**4
Expand ((-t + 3*t - 3*t)*(-30*t + 30*t - 70*t**2) - 3*t**3 + 2*t - 2*t)*(4*t - 4*t + 2*t**2) - 4*t**4 - t**5 + 4*t**4 + 0*t**5 - 2*t**5 + 0*t**5.
131*t**5
Expand (3*j**2 + 0*j**2 - j**2)*(165*j**3 - 327*j**3 + 160*j**3 + 6*j**2).
-4*j**5 + 12*j**4
Expand (-5 + 0 + 2)*(5 - 6 + 1 - 21*c).
63*c
Expand (-4 - 5 + 3)*(2 - u - 2)*(3*u + 2*u - 6*u).
-6*u**2
Expand 53*w**2 - 4*w**4 - 27*w**2 - 28*w**2 + (2*w**4 + 0*w + 0*w)*(2 + 3 - 6) + 0*w**4 - 3*w**4 + 0*w**4.
-9*w**4 - 2*w**2
Expand (0 - 1 - 1)*(2*z + 0*z - z + (-2 + 2 - 2)*(-3*z + z + 5*z))*(-2*z + 2*z - z**3).
-10*z**4
Expand (q**2 + q**3 - q**2)*(2*q**2 - 189 + q + 4*q**2 + 184).
6*q**5 + q**4 - 5*q**3
Expand (4*h - 2*h - 3*h)*(4*h - 2*h - 3*h) - 111*h**2 - 54*h**2 + 39*h**2.
-125*h**2
Expand (-2 - 1 + 2)*((3 + 1 - 2)*(o + 2 - 2) - o + 10*o - 8*o).
-3*o
Expand (2 + 0 - 4)*(-123*q**2 - 99*q**2 + 56*q**2).
332*q**2
Expand 5 - s + 3 + 0 + (-1 - 3 + 7)*(7 - 11 - 8)*(-5*s + 2*s + s).
71*s + 8
Expand ((1 + t**2 - 1)*(3*t - t - 4*t) - 2*t**3 - 4*t**3 + 3*t**3 + 9*t**3 - 12*t**3 - 3*t**3)*(-14*t**2 + 13*t**2 - 26*t**2).
297*t**5
Expand (14*a + 12*a - 5*a)*(-a + 3*a - a) + (0 + 3 - 1)*(-3*a**2 - a**2 + 6*a**2) + 0*a**2 - a**2 + 2*a**2.
26*a**2
Expand -2 + 4 + j**2 + j**2 - 2*j + (-9*j - 23*j - 2*j)*(-j + 0*j + 4*j).
-100*j**2 - 2*j + 2
Expand (-6*i**2 - 2*i**2 + 6*i**2)*(i - i + 3*i**2) + 3 + 8*i**4 - 3*i**4 - 1.
-i**4 + 2
Expand (2*q - 6*q + 2*q)*(0*q**4 + 5*q**4 - q**4) + (q**3 + 0*q**3 + 0*q**3)*(q**2 + 0*q**2 - 3*q**2) + 8*q**5 - 3*q**3 + 3*q**3.
-2*q**5
Expand (15*x + 236 - 76 - 79 - 81)*(-2*x - x + 0*x).
-45*x**2
Expand (24*m**3 + 95*m**3 - 8*m**3)*(-4*m + 0*m + 2*m).
-222*m**4
Expand (3*s + s - 2*s)*(-2*s + s + 3*s) + 48*s**2 + 18*s**2 + 35*s**2.
105*s**2
Expand (-4*h**4 + 0*h**4 + 3*h**4)*(2*h - 2*h + h) + 2*h**5 + 5*h**5 - 5*h**5 - 2350*h + 343*h**5 + 2350*h.
344*h**5
Expand -4*x + x + x - 5*x + 6*x + 10*x + (-3*x + 2*x + 2*x)*(-4 - 2 + 4) - 4*x + 3*x + 0*x + x + 4*x - 4*x.
7*x
Expand (339 - 13*j - 339)*(3*j**2 + 0*j**2 - 5*j**2).
26*j**3
Expand (-136 + 70 + 165 + 302)*(-w - 2*w + 5*w).
802*w
Expand -4*d**3 + 7*d**3 - 172*d**4 - 25 + 173*d**4 + (0 + 0 - d**3)*(3*d - 5*d + 5*d) + d - d - 2*d**4.
-4*d**4 + 3*d**3 - 25
Expand -6 + 6 - 8*a**4 + ((2*a - 2*a - 3*a)*(-1 - 3 + 3) - 8*a - 7 + 7)*(3*a**3 - 2*a**3 + a**3).
-18*a**4
Expand (0 + 0 - 2)*(r + r - 4*r)*(808 - 808 - 20*r).
-80*r**2
Expand (1 - 1 - w)*(3*w + 13 - 13)*(-50 - 148 + 104).
282*w**2
Expand (-j + 2*j**2 + j)*(8 + 120 - 68).
120*j**2
Expand (-70*g**2 - 59*g**2 + 162*g**2)*(-6 + 7 + 4).
165*g**2
Expand -207*w**4 - 1356*w**2 + 410*w**4 - 205*w**4 + (3*w + 0*w - 2*w)*(-w**3 + 3*w**3 - w**3).
-w**4 - 1356*w**2
Expand (-2*g - g**2 + 2*g - g**2 - g**2 + 0*g**2 + (0 + 0 + g)*(-3*g + 0*g + 2*g) + g**2 + 4*g**2 - 3*g**2)*(71*g + 84*g - 36*g).
-238*g**3
Expand (-4*x + 3*x - 40*x)*(-6*x + 6*x + 6*x)*(0 - 2 + 1 + (2 - 4 + 4)*(1 - 1 - 2)).
1230*x**2
Expand -4*s**3 - s**3 + s**3 + 4*s - 4*s**3 - 4*s + ((3*s - s - s)*(4*s - s - s) + 9*s
|
{
"pile_set_name": "DM Mathematics"
}
|
-37)/(6327/(-3)))?
-19/3
Evaluate (6/(-15)*1)/(48/480).
-4
What is (6/4)/((-177)/(-1298))?
11
What is the value of (175/(-1225))/((-3)/(-84))?
-4
Evaluate (12/(-10))/(8*39/(-520)).
2
Calculate 1/(-14*(-6)/24).
2/7
Evaluate (-9)/6*620/(-160)*112/(-21).
-31
Calculate -3*-1*9/(-81)*75.
-25
((-1)/3)/(140/(-1260))
3
What is the value of ((-73)/((-1022)/44))/((-4)/14)?
-11
((-3080)/(-16))/35*1*(-2)/1
-11
(83/(-1826))/((3/(-4))/(12/(-8)))
-1/11
What is the value of 3/(-48)*2*((-3360)/(-24))/35?
-1/2
Calculate ((-6)/10)/((-207)/(-2070)).
-6
What is the value of 3*15/(5265/18)?
2/13
(1080/(-600))/(2/(-10)*1)
9
(5/((-30)/16))/((-60)/(-5850)*13)
-20
Evaluate (-5*4/110)/2.
-1/11
Evaluate ((-60)/250*45/(-27))/(1/85).
34
Evaluate (30/(-4)*45/225)/(-4).
3/8
((-24)/(-4074))/(((-24)/6)/(140/10))
-2/97
-1*15*(-3440)/(-2064)
-25
What is the value of ((-1)/((-66)/9))/(12/24*3)?
1/11
Calculate (375/900)/((-15)/(-8)).
2/9
(36/135*-5)/(5/(855/(-12)))
19
4/(48/196)*47/(8883/81)
7
17/((-1870)/44)*100/(-2)
20
What is (32/40)/(6/(-10))*405/(-900)?
3/5
What is (5*(-30)/(-100))/(-4*27/(-2232))?
31
Calculate ((-24)/(-60))/(84/28).
2/15
-2*70/168*(-36)/585
2/39
Evaluate ((624/(-65))/6)/(((-1)/(-1))/(-5)).
8
((81/84)/(-9))/(16/(640/(-180)))
1/42
Calculate (-2*(-1)/(-4))/(30*(-52)/3640).
7/6
(-5)/(-3)*((-24)/(-80))/((-9)/(-6))
1/3
Evaluate ((-34)/34*1/5)/((-4)/260).
13
Evaluate (504/2688)/(2490/320).
2/83
What is (160/(-280))/(4/(-56))?
8
What is (((-240)/16)/75)/3?
-1/15
((39/5)/13)/((-6)/250)
-25
Calculate (-60)/102*29/435.
-2/51
Calculate ((-19)/(950/80))/((-1)/5).
8
What is ((-9)/36)/((-102)/32*(-14)/(-21))?
2/17
What is the value of (380/285)/(4/(-3))*9/1?
-9
Calculate (27/4)/(-38*(-33)/3344).
18
Evaluate 11/(-352)*-8*4.
1
Evaluate ((-108)/(-72))/(7/(-2)).
-3/7
Evaluate -2*99/924*-3*4/(-24).
-3/28
Calculate 43/(13072/950)*-1*2/10.
-5/8
Calculate (-29)/(1*((-16)/24)/(4/12)).
29/2
What is the value of ((-19)/(-95))/(1/(-120))?
-24
Calculate (((-288)/60)/12)/((-4)/6).
3/5
What is (3*(-3)/9)/(-3)*-48?
-16
Calculate (1/2)/(5/(-1520)*-19).
8
What is the value of ((-32)/(-18))/(36/(-486))?
-24
What is 4/(-8)*-6*(-11)/(66/(-4))?
2
What is (-37)/(((-5)/(-90))/((369/(-162))/(-41)))?
-37
What is the value of (20/(-220))/(((-2)/5)/((-6)/(-15)))?
1/11
Evaluate (-25)/(-60)*(-3)/1*1.
-5/4
What is the value of (225/20)/(1/12*9)?
15
What is (-15)/(-75)*390/(-13)?
-6
What is the value of (((-897)/858)/(-23))/((-3)/4)?
-2/33
Calculate (18/(-171))/((-76)/(-361)).
-1/2
Calculate -2*2/(-1)*(-68)/408.
-2/3
(132/(-88))/((-3)/(-3)*-1)
3/2
What is the value of ((-7)/(-7)*-7)/(3/3)?
-7
Evaluate 5/14*(-4)/((440/(-12))/(-11)).
-3/7
What is the value of (8/(-14))/((48/(-40))/(28/(-20)))?
-2/3
What is the value of 1/((-56)/(-16))*(-35)/(-65)?
2/13
Evaluate 3/36*9*1*(-2072)/2331.
-2/3
Calculate ((-6)/22)/(29070/(-12540)).
2/17
Evaluate 42/33*(-88)/(-4)*(-36)/(-216).
14/3
What is (-5445)/21175*(-1)/(-3)*-5?
3/7
56/7*80/64
10
What is ((-5)/120*-12)/((3/(-2))/(-3))?
1
((20/15)/4)/((6/(-1))/180)
-10
(-201)/(-67)*13/(-6)*2
-13
(-8)/12*12/32*20
-5
What is the value of ((-126)/(-2))/(1914/638)?
21
Calculate 0*-9*5/(-135).
0
4/6*2580/86
20
Calculate (-714)/1428*14/4*1.
-7/4
Calculate ((-119)/(-441))/(510/90).
1/21
Evaluate (3/15*-8)/((12/5)/6).
-4
Evaluate ((-27)/(-3))/((-387)/(-516)).
12
What is (0/(-65))/(135/18*2/3)?
0
(2/657*-6)/((-21)/(-504)*-32)
1/73
Evaluate -6*(144/(-1620))/(2/(-10)).
-8/3
What is the value of ((-12)/(-132))/(-3*10/15)?
-1/22
Evaluate -2*12*14/(-9)*18/(-21).
-32
What is the value of ((-33)/(-9))/((3/((-6)/4))/6)?
-11
What is (((-20)/9)/1)/(160/896*-14)?
8/9
Calculate 10/6*(-26790)/2350.
-19
(-15)/6*(-166)/(-415)*36/1
-36
What is ((-24)/(-10))/3*(-15)/3?
-4
What is the value of 85/(-102)*(-6)/10?
1/2
What is (-13)/((-312)/(-3))*-6?
3/4
Calculate -1*(-12)/(-2)*85/(-102).
5
What is the value of ((-84)/(-22))/((-384)/2816)?
-28
What is the value of (727/4362)/((-2)/(-24))?
2
Evaluate -25*(-7)/((-70)/8)*(-68)/68.
20
Calculate -6*5/(-2)*57/95.
9
What is the value of (13/(-1))/(-13)*1/(-7)?
-1/7
Evaluate 15/(-40)*2*(-152)/(-399).
-2/7
Calculate (7/((-70)/(-4)))/((-13)/65*4).
-1/2
(-22)/(-121)*22*(-2)/(-8)*-14
-14
Calculate ((2/(-7))/((-288)/42))/(-1).
-1/24
Evaluate 6/12*76/(-38)*-31.
31
What is the value of -9*(-22)/(-99)*4/(-1)*-1?
-8
Evaluate (16/(-4))/(18/(-27))*13/2.
39
What is (-3)/((-3312)/24)*-2?
-1/23
(((-14)/(-245))/((-1)/(-14)))/(2/(-3))
-6/5
Evaluate ((-3864)/2093)/((-9)/78).
16
What is the value of (11*6/(-528))/((-3)/6)?
1/4
What is (1/(10/12))/((-40)/(9200/(-138)))?
2
Evaluate (-2*3*((-154)/14)/(-44))/(-27).
1/18
Evaluate (164/(-410))/(1/(-25)).
10
Evaluate 6*(-75)/195*156/(-24).
15
Calculate (2356/3999)/38*3.
2/43
Evaluate ((-1)/42*-2)/(9/27).
1/7
What is (24/10)/(((-918)/(-300))/(-51))?
-40
Evaluate 8*9/45*(-135)/(-1836).
2/17
Evaluate 180/(-48)*(-14)/(-875)*-20.
6/5
What is the value of (-1)/5*315/(-189)?
1/3
(-3*(-25)/40)/(-9*2/24)
-5/2
What is the value of ((3/4*-2)/(3/(-16)))/(-1)?
-8
(-2)/4*-25*26/(-975)*0
0
Calculate ((-384)/(-128))/(75/2).
2/25
What is (8*28/(-448))/((1/(-12))/1)?
6
Evaluate 5*(-84)/180*-3.
7
(120/(-10))/((-1)/6*9)
8
((-5)/1)/((-8)/((-48)/(-435)))
2/29
((-1)/(-40)*-10)/((-1)/1)
1/4
(22/(-63)*3)/((-382)/1337)*3
11
What is the value of (((-12)/(-72))/((-12)/(-40)))/(10/6)?
1/3
What is the value of 3/(-5)*-1*19/(-171)*3?
-1/5
12/(-6)*4/(-72)*-18*14
-28
Evaluate ((-64)/(-208))/((-4770)/(-689)).
2/45
(-4)/(((-22)/33*3)/(1*-4))
-8
(622/(-1555))/(4/10)
-1
What is (7*(-90)/(-63))/(-2)?
-5
Evaluate (2610/(-6525))/((72/(-105))/(-3)).
-7/4
Calculate (((-952)/34)/14)/((-2)/16).
16
What is the value of (((-6)/10)/((-24)/200))/1?
5
Evaluate (45/(-4))/(-5)*(-1096)/274.
-9
Calculate (0/3)/((-10)/(-15)*(-12)/(-8)).
0
What is (-1)/(-104*12/(-192)*4/2)?
-1/13
Calculate 1792/(-1120)*(-1)/(-2).
-4/5
What is the value of 15/(450/(-12))*2?
-4/5
Calculate (10/225)/(183/(-2196)).
-8/15
Evaluate (44/11)/((-28)/(-77)).
11
(23/(-138))/(4/(-72))
3
(-400)/1400*42/432
-1/36
((-3)/(-12))/(1*(-11)/(-88))
2
What is the value of 1*145/435*4/26?
2/39
(-3)/((-42)/(-595))*12*9/270
-17
Calculate 97/(-291)*3*(-1)/5.
1/5
What is the value of (-22)/(-4)*(-1)/770*-20?
1/7
Evaluate (-24)/(-16)*8*(-9)/((-162)/24).
16
What is (-319)/((-232)/(-8))*2?
-22
Calculate (-15)/60*8*3/96.
-1/16
4*9/72*26/(-247)
-1/19
Calculate 20/336*536/(-335).
-2/21
(0/1)/1*((-20)/6)/10
0
2101/382*(-8)/(-2)
22
Evaluate (2/(-24))/1*(-76224)/(-7146).
-8/9
What is (-5*10/(-325))/((187/286)/17)?
4
What is the value of (-9)/(-27)*4*5/30?
2/9
Evaluate 13*(-12)/(-468)*(-3)/(-20).
1/20
What is ((-6)/4)/((-2565)/(-570))?
-1/3
What is (-63)/(-35)*3*(-180)/(-2106)?
6/13
Calculate ((-39)/3)/(-13)*5/(-10)*6.
-3
What is the value of (3/(-5))/(240/112*133/190)?
-2/5
Calculate 20*(-10)/600*99/(-1).
33
What is ((-405)/1944)/(((-2)/8)/(1/(-1)))?
-5/6
Calculate ((-16)/(-64))/((-4)/(-288)).
18
Calculate (-65)/20*50/(-325)*(-6)/4.
-3/4
Calculate ((-1956)/1630)/(27/(-60)).
8/3
What is the value of (-38)/152*276/3?
-23
28/4*-3*(140/(-30))/14
7
Evaluate (6/35)/3*(-210)/((-285)/(-19)).
-4/5
Evaluate 12/20*(-166)/1245.
-2/25
Evaluate (2/(-6))/((15/(-135))/(4/12)).
1
What is ((-4)/6*(-9)/(-12))/4?
-1/8
Evaluate 2/((-3)/4*(-50)/(-75)).
-4
Calculate 4/2*(1482/209)/13.
12/11
(-12)/7*(-2058)/196
18
What is the value of ((1281/63)/(-61))/3?
-1/9
((-3888)/(-40))/(-27)*(-20)/(-6)
-12
Calculate (-6)/6*(-54)/(-9).
-6
(-36)/(-88)*(13/(429/(-88)))/(-2)
6/11
Evaluate (75/120)/((-7)/(84/(-150))).
1/20
(-21)/(-42)*((-120)/(-25))/6
2/5
Evaluate (27/4)/((2691/92)/39).
9
What is (50/(-175))/(62/7)?
-1/31
(-221*108/(-468))/3
17
What is 8/(3000/(-9))*120/(-36)?
2/25
(13/(364/16))/(182/(-49))
-2/13
(((-702)/(-8))/13)/((-51)/136)
-18
((-21)/7*(-374)/(-153))/(2/(-3))
11
What is the value of -1*(-70)/28*((-6)/20)/1?
-3/4
Evaluate (0/8)/((-3)/((-3)/(-1)))*1.
0
What is the value of (408/(-51)*1/(-6))/(24/(-234))?
-13
What is the value of (((-8)/(-14))/(136/357))/3*42?
21
((-7)/(-15)*(-144)/(-168))/(32/(-20))
-1/4
Evaluate (12/42)/(6*44/(-462)).
-1/2
What is the value of ((-48)/(-144))/((-5)/75)?
-5
Evaluate (-2)/((-32)/(-120))*-6*3/(-75).
-9/5
What is the value of (213/(-3550))/((-12)/16)?
2/25
What is the value of ((-68)/238)/(4/28)?
-2
What is the value of (36/20)/
|
{
"pile_set_name": "DM Mathematics"
}
|
to o*x + k and give k.
0
Express 9*f + 3*f + f - 3*f in the form z + s*f and give s.
10
Express (0*t**2 - t**2 - 2*t**2)*(-t + t + t + (-1 - 2 + 2)*(2*t - 1 + 1) - 1 - 5*t + 1) as s*t**3 + l*t**2 + q*t + k and give l.
0
Express -1832*n - 2 + 1832*n + 7*n**2 as m + q*n**2 + t*n and give q.
7
Rearrange z + 7*z - 2*z**3 + 5*z**3 + z**4 - 2*z**3 - 2 to the form k*z**2 + q*z**4 + c*z**3 + v + i*z and give v.
-2
Express 3*r**2 + 0*r**2 - 2*r**2 + (r + 0 + 0)*(3*r - 2*r + r) + (11 + 23 - 12)*(-2*r + 2*r - 2*r**2) in the form n*r + u + q*r**2 and give q.
-41
Rearrange -q - 11*q**2 - 3*q + 12*q**2 to i*q**2 + h + l*q and give h.
0
Express -2 - 4*m**2 + m**3 + 6*m**2 + m**3 as v*m + r*m**3 + b + d*m**2 and give d.
2
Rearrange -3*t - 3 + 3 + 27*t to the form l + v*t and give v.
24
Rearrange -2*t + 15*t + 0*t + 3*t**2 to the form s*t + l + z*t**2 and give s.
13
Express -5*o**3 + 3*o**3 + 51 - 49 in the form r*o**2 + m*o + z*o**3 + a and give z.
-2
Rearrange (7*i - 3*i + i + (1 + 2 - 5)*(2*i - 1 + 1))*(0 + 5 - 4) to p + g*i and give g.
1
Express 2*g - 13*g - 23*g + (0 - 4 + 2)*(3*g - 2*g - 2*g) - g + g + 2*g in the form s*g + q and give s.
-30
Express 0 - 129*x + 103*x + 0 in the form d*x + j and give d.
-26
Rearrange -8*a - 2*a - 2*a to q + r*a and give r.
-12
Rearrange (2 + 2 - 3)*(-36*l - 29*l + 11*l) to the form u*l + z and give u.
-54
Express -5*s - 5*s - s**3 - 19*s + (2*s - 4*s + s)*(3*s**2 + 2*s**2 - 3*s**2) in the form g*s**3 + i + l*s + z*s**2 and give l.
-29
Express -13*b**3 - b**3 - b + 3*b**3 in the form x*b**2 + a + i*b + v*b**3 and give v.
-11
Express (-2*u + 0*u + u)*(u**2 - u**2 + 2*u**2)*(19 + 0 + 0) in the form s*u**2 + t*u + i*u**3 + q and give i.
-38
Rearrange -19*o - 14*o + 79*o to z + d*o and give d.
46
Express -57 - p**4 - p**2 + 55 - 4*p**2 in the form h*p**2 + s*p**4 + f*p**3 + i*p + b and give s.
-1
Rearrange -11*d - 5 + 5 + 5*d to t*d + n and give t.
-6
Express -2*r - 4*r - 9*r in the form l + y*r and give y.
-15
Express (5 - 3 + 14)*(3*s**3 - 2*s**2 + 2*s**2) in the form b*s**3 + n*s**2 + v + j*s and give b.
48
Rearrange -50 - 41 + 101 + l**2 to n + y*l + i*l**2 and give n.
10
Rearrange -8*k**2 - 2*k**3 - k**3 + 2 + 5*k**3 - k**3 to j*k + t*k**3 + b + c*k**2 and give b.
2
Rearrange -7*l - 6*l - l**4 + 4*l**4 + 10*l + 2 to s*l**4 + j + t*l + u*l**3 + m*l**2 and give j.
2
Express 3 - f**3 - 3 + 3 in the form s*f**2 + d + q*f + h*f**3 and give d.
3
Express -69*l**2 + 4*l**2 + 19*l**2 - 66*l**2 as c*l + m*l**2 + h and give m.
-112
Express -6 - 26*d + 1 + 5 as f*d + o and give f.
-26
Express (0 - 1 + 3)*(0 - r + 0) - 3*r - 3*r + 3*r + (r - r + 2*r)*(-12 - 13 + 2) in the form d + x*r and give x.
-51
Rearrange 2*s**2 - 5 - 3*s + 8 + 0 - 4*s**2 to q*s + a*s**2 + n and give n.
3
Express -22 - 19*y**3 - 2*y + 23 - y**2 + 16*y**3 - 3*y**4 as b*y**3 + m*y**2 + f + i*y + w*y**4 and give w.
-3
Rearrange (-l**2 - 3*l**2 + 2*l**2)*(4*l**2 - 3*l**2 - 3*l**2) - 5*l**4 + l**4 - 4*l**4 to p*l**3 + c*l**4 + b*l + j + d*l**2 and give c.
-4
Rearrange -4*b**2 + 6*b**2 + 1 + 0*b**2 - 5*b + 5*b + 8*b**2 + (-6*b + 2*b + 2*b)*(0*b - b + 3*b) to l*b**2 + v*b + q and give l.
6
Rearrange (20 - 8 + 19)*(2*z**3 - 4*z**3 - z**3 + (-2*z + 2*z - z)*(z**2 + 0*z**2 - 3*z**2)) - 4*z + 4*z - 2*z**3 to t + d*z**3 + p*z**2 + q*z and give d.
-33
Express 5*f + 3*f**2 + 43 + 19*f - 24*f in the form h*f + j*f**2 + g and give g.
43
Rearrange -163 + 83 + 7*u - u**2 - u**3 - 7*u**4 + 79 to the form n*u**3 + y + z*u + d*u**2 + x*u**4 and give z.
7
Express (2*m**2 + 0*m**2 - 5*m**2)*(9 - m + 3*m - 6 - 2*m**2) as c + g*m**2 + a*m**4 + k*m + i*m**3 and give i.
-6
Express (21*m - 7*m - 6*m)*(-1 - 3*m + 2 + 2*m)*(4*m + 0*m + 0*m) in the form d + f*m**2 + o*m**3 + j*m and give f.
32
Rearrange t - 2*t - 3*t + (0 + 1 - 3)*(-1 + 2*t + 1) + (-4*t + 4*t - t)*(0 + 0 + 3) to f*t + h and give f.
-11
Rearrange q - 9*q**3 + 2*q**2 + 29 - 10 - 9 - 6 to h*q**3 + x*q**2 + n + g*q and give x.
2
Express (5 - 1 - 2)*(3*z - 8*z + 7*z)*(-2 - z + 2) in the form x*z**2 + s + b*z and give x.
-4
Rearrange (-4*b + 3*b + 5*b)*(0 - 4 + 3) + 2*b - b - 3*b + (-3 + 0 + 4)*(-5*b + 3*b + 3*b) to the form i*b + y and give i.
-5
Express (2*b**2 + 3*b**2 + b**2)*(-b + b + 2*b)*(3*b - 5*b + 0*b) in the form q + x*b**2 + a*b**3 + i*b**4 + n*b and give i.
-24
Rearrange 5*v + v**2 - 5*v + (-5 + 3 + 1)*(v**2 - 2*v**2 - v**2) + 512 - v**2 - 79*v - 512 to the form d + k*v**2 + c*v and give k.
2
Express (-7*q + 2*q + 3*q)*(-3*q - 2*q**2 + 3*q) + q**3 + q**3 + 0*q**3 + 11 - 11 + 12*q**3 in the form p*q**3 + l + x*q**2 + t*q and give p.
18
Rearrange (-2*b + 3*b + b)*(0*b + 3*b - b)*(0*b + 10*b + b) to v*b**2 + o + y*b**3 + w*b and give y.
44
Express 2 + w**4 - 3 - w**2 + 0*w**2 + 12*w**3 - 8*w**3 - 2*w in the form u*w + a*w**3 + x*w**2 + h + i*w**4 and give a.
4
Express 41 - 29*y**2 - 41 as w + f*y**2 + p*y and give p.
0
Rearrange -10*g**2 - 2*g + 17*g + 8*g**2 + 3*g**2 to the form i*g**2 + c + q*g and give q.
15
Rearrange 2*o**4 - 6*o**4 - 3*o - o**3 + 2*o to the form f*o**4 + y*o**2 + h*o**3 + g*o + l and give g.
-1
Express (n + 0 + 0)*(-75 + 577 + 168 + 7) as j + o*n and give o.
677
Express 21*y**2 + 5*y**3 - 8*y**3 + 2*y**2 + 2*y**3 as a*y**3 + k*y + v + i*y**2 and give a.
-1
Express -1 - 6*v**2 + 0 - 2*v**2 - 2*v**2 in the form c + l*v + i*v**2 and give i.
-10
Express 0*l**4 - 1 - 10*l**4 - l - l**2 + 2*l**2 + l**4 in the form o*l + f*l**3 + c + v*l**2 + s*l**4 and give s.
-9
Rearrange (87*b + 2 + 35*b - 17*b)*(b**2 - b**3 + 3*b**3 - 3*b**2) to p*b**3 + k*b**2 + x*b + h*b**4 + d and give k.
-4
Express -2*h**3 + h**2 - h**2 + h**3 + 0*h**3 + h**3 + (-2 + 1 + 2)*(-2 + 2 - h**3) + 2*h**3 + 6*h**3 - 3*h**3 in the form a + t*h + l*h**3 + m*h**2 and give l.
4
Express -331 + 165 + 2*b + 168 in the form t + p*b and give p.
2
Rearrange 2*t - 2*t**4 + 24 - 24 - 3*t**2 + 4*t**4 - 3*t**3 to the form j*t**4 + g*t**2 + d*t**3 + k + x*t and give x.
2
Express (-2*l + 0*l + 3*l)*(0 - 2*l + 0) + l**2 - l**2 + l**2 + 47*l**2 - 30*l**2 - 22*l**2 in the form x*l + h*l**2 + v and give h.
-6
Rearrange (2*o + 2*o - 5*o)*(6 - 1 + 1)*(-2 - 3 + 3)*(5 - o - 5) to the form w*o + n + z*o**2 and give z.
-12
Express -6*k**4 + 89*k**4 - 21*k**4 + 66*k**4 + (-1 + 1 + k**4)*(4 + 0 - 1) - k**4 - k**4 + k**4 as f*k**3 + l*k**4 + j + d*k + o*k**2 and give l.
130
Express (-9 - 4 - 1)*(0 - 5 + 4)*(-6*p + 0*p + 4*p) in the form m + d*p and give d.
-28
Rearrange (0*s + 0*s - s)*(-6*s + 16*s + 2*s) to f*s**2 + p + g*s and give f.
-12
Rearrange (-4*f + 0*f + 6*f - 2)*(6*f - 5*f - 7*f) to the form o*f**2 + c*f + u and give c.
12
Rearrange 0*z + 2*z + 2 + 11*z**2 + 0*z to c*z**2 + u + t*z and give c.
11
Rearrange 0*n**2 - 3*n**2 + 5*n**2 - 3*n + 4*n**3 to the form i*n + y + h*n**2 + q*n**3 and give i.
-3
Express -27*o + 14*o - 17*o in the form w + d*o and give d.
-30
Rearrange -563*h - 16*h**2 + 563*h + 3*h**3 to x*h**3 + f + k*h**2 + l*h and give x.
3
Express (0 + 2 - 1)*(9*r - 19 + 19) + (-5 + 0 + 3)*(-3*r + r + 0*r) - 1 - 3*r + 1 as l + g*r and give g.
10
Rearrange 5 - 2*l + 3*l + l - 2 to h*l + p and give p.
3
Rearrange 873*p**2 - 876*p**2 + 3 - 5 - 21*p**3 to t*p**2 + b*p**3 + u + f*p and give t.
-3
Rearrange -y - 6*y**3 + 5*y**2 + 0*y**3 + 5*y**3 to the form p*y**2 + c*y**3 + w + g*y and give c.
-1
Express 10*a - 7*a + 5*a in the form o + j*a and give j.
8
Rearrange (-7 + 1 + 1)*(2*f + 2*f**2 - 2*f)*(-4*f + 11*f + 0*f) to a*f**2 + m + b*f + n*f**3 and give n.
-70
Rearrange (j + 3*j - 3*j)*(5*j**3 + 9 - 3 - 8) to the form p*j**4 + b*j**3 + a*j**2 + t + s*j and give p.
5
Rearrange (1 + 3 - 2)*((-4*b + 3*b + 0*b)*(3 - 3 + 2) + 1 + b - 1 + (-2 - 1 + 4)*(0*b - 2*b - 2*b)) to k + q*b and give q.
-10
Rearrange -4 + 0 + 52*h + 3 - 68*h to the form j + v*h and give j.
-1
Rearrange -2*i**4 - 3*i**3 + 12*i**3 - 3*i**2 - 8*i**3 + 0*i**2 - i to the form y*i**3 + p*i + q*i**4 + j + v*i**2 and give y.
1
Rearrange -117*p**2 - 124*p**2 - 116*p**2 + 305*p**2 to the form j*p + d*p**2 + l and give d.
-52
Express (-5*i + 2*i + i)*(4 - 2*i - 4) + i**2 + 3 - 2*i**2 - 5 + (3*i - 2*i + 0*i)*(-21 + 21 - 42*i) in the form q*i + u*i**2 + z and give z.
-2
Express 50 - 50 - 10*g + 35*g as m + u*g and give u.
25
Express 0*x + 0*x - 2*x**3 + (-2*x**2 - 3*x**2 + 3*x**2)*(-2*x + x - 2*x
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify f**(-13/4)/f*((f/(f/(f*f**(-2/27))))/f)/f*(f**(-5/11))**(-5/2) assuming f is positive.
f**(-4975/1188)
Simplify ((x*x*x/x**(-1)*x)/(x*x**(-6/7)))**(-2/23)/((x*x*x**(-2/7)*x)**(1/82)/((x*x/(x*x/(x*x**(2/3)/x*x*x))*x)/x**(-8))) assuming x is positive.
x**(63433/5658)
Simplify ((r*r**26/r*r)**3*(r*r**(-12/11))/((r**(-21)/r)/r))**(3/7) assuming r is positive.
r**(3429/77)
Simplify ((q/((q/(q/q**(3/5)))/q))/((q*q**(-8)/q*q)/q*q))**(-12)/((q**(-3/4)*q*q)**(-25))**(3/17) assuming q is positive.
q**(-32397/340)
Simplify ((b/(b*(b**(2/3)/b)/b))**32/(b**(1/3)*b**(-5)))/(b**(-4)/b**(-2/9))**(-15) assuming b is positive.
b**(-28/3)
Simplify ((b**(-3)*b)/b*b**(-2/15)*b/(b*b**32)*b*(b/b**15)/b*b)**17 assuming b is positive.
b**(-12274/15)
Simplify ((c**0)**(-18)*((c/((c**(-4)/c*c)/c*c))/c)/c*c/(c*c/c**4)*c)/((c**(-1/3))**(-3/34)/((c*c**7)/(c**6*c))) assuming c is positive.
c**(271/34)
Simplify (((f**1*f*f)/f)**(-49)/(f/f**(-1/3)*f**(-7/4)))/(((f*f**(-7))/(f**(-4)/f))/(f/(f/f**1*f)*f)**(21/2)) assuming f is positive.
f**(-1033/12)
Simplify (((h*h**(1/5)/h)/h)**(-8)/(h**11/h**3))**(-47) assuming h is positive.
h**(376/5)
Simplify ((h*h*h*h*h**0)/(h/(h/h**5*h*h)))/(h**(2/11)*h/(h**1/h)*h*h)*(h/(h/((h**0*h)/h*h)))**(4/3)/(h*h/h**1)**40 assuming h is positive.
h**(-1348/33)
Simplify ((s/(s/(s*s**(-20))))/(s**40/s))/(s**(-30/7)/((s/s**(-1))/s)) assuming s is positive.
s**(-369/7)
Simplify (z**(-2)*z**(-7/4)/z)/(z**(-2/5)/z**(-1/10))*(z/(z/(z/(((z/(z*z**(-1/7)*z))/z)/z)))*(z*z/(z*z**7))/z)**(-2/21) assuming z is positive.
z**(-12203/2940)
Simplify ((o*o/(o**1*o))**25*(o/o**7)/o*o**(-8)/o*o*o)**(-18) assuming o is positive.
o**252
Simplify (((k/(k**10/k))/k*k)/((k/k**(-6))/k))**(-14)*(k*k**1)**(-18/11)/(k**8*k**5) assuming k is positive.
k**(1977/11)
Simplify (g**(1/12)/(g**(2/13)/g))/(g**(-11/2)*g**(-8)*g) assuming g is positive.
g**(2095/156)
Simplify ((((w/(w/w**(-2/7))*w*w)/w*w*w*w**9)/(w*w**3/w*w*w**(-2)))**(2/13))**(2/37) assuming w is positive.
w**(272/3367)
Simplify (n/(n/(n*n**(-1/6)*n))*(n/(n/(n*n*n/((n*n*n*n**(-3/7)*n)/n)*n))*n)/n*n*n*n*n*n**(2/3)*n*n**(-1/4))/((n**(-1))**22)**(-5/3) assuming n is positive.
n**(-2351/84)
Simplify ((k**(-6/5)/(k*(k*k**(-9))/k))/((k*k/(k*k**(2/7)))/(k/k**(4/5)*k)))**(-3/29) assuming k is positive.
k**(-153/203)
Simplify (((b*b**6*b)/b**(-3/8)*(((b/((b*b**(-6/11)/b*b)/b))/b)/b)/(b/b**(-2/9)))**(-45))**10 assuming b is positive.
b**(-132625/44)
Simplify w**(2/27)*w**1*(w*w*w**1/w)**(-46)*w**(-7)*w**(-1/5)*w**(-1/4)/w*w*w/(w*w/w**(-3)*w*w) assuming w is positive.
w**(-56363/540)
Simplify ((x*x**(-13)/x*x)/x**(-12))/(x**(-14/9)*x**(-1/3)) assuming x is positive.
x**(17/9)
Simplify ((d*d/((d*d**1*d)/d)*d)**(2/9))**(-46/3)*d**8*(d/(d*d**(-6))*d)/d*d/d**9*d**(3/10) assuming d is positive.
d**(781/270)
Simplify ((n*(n**(2/7)*n)/n*n*n**3)/(n*n*n**(2/7))**(-1/43))/(((n/n**1)/n*(n**(-5/4)*n)/n)/(n**1/n)**(3/41)) assuming n is positive.
n**(9137/1204)
Simplify ((((s/(s*s**(-12)*s*s))/s)/s*s/(s*(s*(s/((s*s**4/s*s)/s*s))/s)/s))/((s**(-2/3)/s)/((s**(-1/13)*s)/s)))**(-24) assuming s is positive.
s**(-4552/13)
Simplify (f*(f*f*f**(-2))/f*f/(f**(-2/7)*f))**(-40)/(((f*f**8/f*f*f)/f)/(f*f**1))**41 assuming f is positive.
f**(-2089/7)
Simplify (c**(-2/15)/(c*c**(-5)))**33/(c**1*(c*c**(-1/3))/c*c**(4/3)*c/c**5*c) assuming c is positive.
c**(643/5)
Simplify (x/(x*x**1)*((x*x**2*x*x)/x)/x)**(-1/22)*(x**1/x**(3/2))/((x**6/x)/x*x/(x**(-1/8)*x)) assuming x is positive.
x**(-415/88)
Simplify (((g**46*g)/g**32)/((g**(1/23)/g)/((g/((g*g/((g/(g/(g*g**(-18/7))*g))/g*g*g))/g*g))/g)))**(24/11) assuming g is positive.
g**(47856/1771)
Simplify (w/((w**(-1/2)/w)/w))**(-3/28)*w**(-3/5)*w**(2/13)*w*((w**(-2/3)/w)**(-38))**(4/5) assuming w is positive.
w**(79319/1560)
Simplify (((t**12/(t/(t/((t/(((t*t**2*t)/t)/t*t))/t))))**(-40))**11)**21 assuming t is positive.
t**(-138600)
Simplify (((j*j/j**(-1))**(-45)*(j*j**(-2/7))**(-5/4))**35)**19 assuming j is positive.
j**(-361475/4)
Simplify (h**(2/5))**(29/2)*(h**1)**1*(h/(h**(-2)/h))**(-1/2)/(h**(-7)*h/(h*h/h**(-7)*h*h)) assuming h is positive.
h**(109/5)
Simplify ((f/f**(5/4))/(f*f**(-3)/f)*((f*f**(-1))/f)/(((f**(2/5)/f)/f)/f))/(((f*f**4)/(f/(f/(f**(-6)*f*f))))/((f*f**7)/f*f/f**(-6)*f)) assuming f is positive.
f**(207/20)
Simplify (f**(-35))**(-20/13)/(f**(-17/2))**(-4/3) assuming f is positive.
f**(1658/39)
Simplify (v**(-4/9)/(v**6*v))**(31/4)*((v**1/v*v)/v*v*((v*(v**(2/13)/v)/v)/v)/v)**(-5/12) assuming v is positive.
v**(-26641/468)
Simplify ((m/(m/(m*m**(-1/3)/m*m*m)*m))**(-48)/(m**(-8)/m*m**7*m))/((m*m*m/m**0)**(2/161)/(m**9*m**1)) assuming m is positive.
m**(-3387/161)
Simplify (((x**(2/5)/((x*x/(x*x/(x/x**(-3)))*x)/x))**(-48))**(-12))**48 assuming x is positive.
x**(-497664/5)
Simplify (d/d**(-3/4)*d/d**(-1/7))/((d**1*d)/d)**(4/7)*(d**0)**(-22)/(d**(2/5)*d*d**2) assuming d is positive.
d**(-151/140)
Simplify ((j**3)**(1/2))**(-1/9)*(j*j*j/(j**0*j*j)*j*j/(j**(2/3)*j))**(-48) assuming j is positive.
j**(-385/6)
Simplify (((x**(4/7)/(x**(-1)/x))**35)**(-15))**(-14) assuming x is positive.
x**18900
Simplify ((((o/o**3)/o)/(o*o/(o**(2/13)*o)))/(o**(1/3)*o/(o/o**(-2/9)*o*o*o)))/(((o/(o/(o/o**(1/4))))/o)**(-32)/(o*o**(-1))**(-32)) assuming o is positive.
o**(-1048/117)
Simplify ((n**(3/5))**(-17))**(-2/45)/(n**(-1/5)/(n/n**(-2/9))*((n**6/n)/n*n)/((n/n**(-1))/n)) assuming n is positive.
n**(-478/225)
Simplify ((x**(-3)*x)/(x*(x*x*x**(1/3))/x*x))/(x**(2/7))**(-1/19)*(x*x**(-2/7))**45*((x*x*(x*x**(1/2)*x)/x)/x)**(-1/11) assuming x is positive.
x**(33353/1254)
Simplify (((s**0*s)/s)/s**1)**43/((((s*s**1)/s)/s*s)**46)**(-47) assuming s is positive.
s**2119
Simplify (((o*o**15)/(o**16/o*o))/(o**(-5)*o)**(-2/25))**50 assuming o is positive.
o**(-16)
Simplify (j*j*j/j**(-2/15))/j**1*j**(-3)*j**(1/4)*(j**(2/5)/j**(4/9))/(j**(-2/5))**(-2/43) assuming j is positive.
j**(-5261/7740)
Simplify (u**(-4/7)/(u/u**3))**34*u**(-5)*u*u**(-2)*(u/(((u*u**(-2/7))/u)/u))**(-1/6) assuming u is positive.
u**(886/21)
Simplify (m**11/(m*m**2)*(m*m**3/m)**(3/31))**(-1) assuming m is positive.
m**(-257/31)
Simplify ((l**(-6/7)*l)/(l*l**(-1/6)/l*l))**(-7)*((l/l**(-2/3))**(-1/34))**(1/3) assuming l is positive.
l**(737/153)
Simplify ((m*m**(-2)*m*m)/(m/(m*m**(-3/8)/m)))**44*(m/(m*m/(m/(m**(2/3)/m))))/((m**6*m*m)/m)*(m/(m**(2/7)/m))**10 assuming m is positive.
m**(-253/42)
Simplify ((v*v*v**(-1/3))**(1/3))**(-48)*(v**(-1))**(5/9)/(v**6/v*v**(-1)/v) assuming v is positive.
v**(-272/9)
Simplify (((l/(l**(2/17)/l))/l)/l)/l**(2/21)*(l/(l/((l/(l**0/l))/l)))/(l/(l**(-1)*l))*(l**(-3)*l**(-1/2))**38 assuming l is positive.
l**(-47557/357)
Simplify ((w**(2/33)/(w/w**(-1/9)))/(w**11*w*w**(3/4)))**41 assuming w is positive.
w**(-224065/396)
Simplify (((t*t**10*t)/(t*t**(-9)))/(((t*t/(t**(2/11)/t))/t)/((t/((t*t*t**23*t)/t*t*t))/t)))**(-3/11) assuming t is positive.
t**(291/121)
Simplify ((t**(-2/23)/t**(-2/19))/(t*t**(-1/3)*t*t)**18)/(t/((t*t/t**(-3/5)*t*t)/t)*t**(-2/5)*t*t/t**(2/35)*t*t*t*t*t*t**(-7)*t) assuming t is positive.
t**(-702416/15295)
Simplify ((r*r**(-10)*r)**(-9)/(r/(r/(r*r/(r*r/(r/((r**(2/21)*r)/r)*r))))*r)**(-2/21))**15 assuming r is positive.
r**(159370/147)
Simplify ((c/(c**(-31)/c))/(c/((c**(34/7)*c*c)/c))*((c**(-10/11)/c*c)/c)**27)**(-4/27) assuming c is positive.
c**(4216/2079)
Simplify (i**(-41)*i*i/i**(-37))/((i**(23/2)*i)/i)**4 assuming i is positive.
i**(-48)
Simplify ((y*((y*y**(-2))/y)/y)**16)**(6/17)/((y**(-2))**37)**22 assuming y is positive.
y**(27484/17)
Simplify ((q**(-1/10)/(q**28/q))/(q*q**(-8/5)*(q/q**20*q*q)/q))**(3/8) assuming q is positive.
q**(-51/16)
Simplify (j*j/(j*(j**(2/7)*j)/j)*j**2*j)**(2/67)/((j/j**(-2/3))**(-8/11)*((j*j*j**(1/2))/j)**(-17)) assuming j is positive.
j**(830279/30954)
Simplify (d**(2/9)/(d**(-2)*d))**(-24)/(((d/d**(-5))/d**1)/(d**(1/4))**(21/5)) assuming d is positive.
d**(-1997/60)
Simplify (((y*((y**(-2)/y*y)/y)/y*y)/y)**(-35))**40*y**(-2/13)/(y**(1/5)*y)*((((y/(y*y**(-1)))/y)/y)/y)**(11/3) assuming y is positive.
y**(817306/195)
Simplify (((f*f/f**(-9))/f)/(f*f*f/f**(-5/3)*f)*f**19*f**(1/28))**(14/9) assuming f is positive.
f**(1963/54)
Simplify ((r**(-1/4)*r**(25/6))/(r**(-3/20)/((r/((r/(r**14*r))/r))/r*r)))**(-1) assuming r is positive.
r**(-301/15)
Simplify ((g**1)**(7/9))**(-47
|
{
"pile_set_name": "DM Mathematics"
}
|
he greatest common factor of 56 and 287?
7
What is the highest common factor of 931 and 98?
49
What is the highest common factor of 77 and 21?
7
Calculate the greatest common divisor of 46 and 46.
46
Calculate the highest common factor of 148 and 37.
37
Calculate the highest common factor of 208 and 416.
208
What is the greatest common divisor of 1430 and 374?
22
Calculate the highest common factor of 3591 and 378.
189
What is the highest common divisor of 84 and 12?
12
What is the greatest common factor of 55 and 275?
55
What is the highest common divisor of 1426 and 92?
46
Calculate the highest common divisor of 12 and 696.
12
What is the greatest common divisor of 6777 and 27?
27
Calculate the highest common factor of 781 and 142.
71
Calculate the highest common divisor of 14 and 329.
7
What is the highest common divisor of 782 and 646?
34
What is the greatest common factor of 804 and 42?
6
What is the greatest common factor of 2250 and 270?
90
What is the greatest common divisor of 702 and 270?
54
What is the greatest common divisor of 19 and 2242?
19
What is the highest common factor of 455 and 35?
35
Calculate the highest common divisor of 60 and 19340.
20
What is the highest common divisor of 120 and 192?
24
What is the highest common divisor of 154 and 1232?
154
Calculate the greatest common factor of 754 and 58.
58
What is the highest common divisor of 2941 and 3287?
173
Calculate the greatest common factor of 49 and 1568.
49
What is the greatest common divisor of 1170 and 360?
90
Calculate the greatest common divisor of 377 and 22243.
377
What is the highest common divisor of 399 and 868?
7
Calculate the greatest common factor of 1 and 13.
1
What is the highest common factor of 118 and 10?
2
Calculate the greatest common factor of 72 and 234.
18
What is the greatest common divisor of 60 and 1458?
6
Calculate the highest common factor of 38 and 190.
38
Calculate the greatest common divisor of 72 and 128.
8
Calculate the greatest common factor of 22 and 3476.
22
Calculate the greatest common divisor of 752 and 235.
47
What is the greatest common factor of 2 and 8?
2
What is the highest common factor of 83 and 1411?
83
Calculate the greatest common divisor of 656 and 56.
8
Calculate the highest common factor of 36 and 48.
12
Calculate the highest common divisor of 805 and 455.
35
What is the greatest common factor of 85 and 2091?
17
What is the highest common divisor of 105 and 399?
21
What is the greatest common divisor of 72 and 29142?
18
Calculate the greatest common divisor of 420 and 30.
30
Calculate the greatest common factor of 144 and 171.
9
What is the greatest common factor of 22316 and 28?
28
Calculate the greatest common divisor of 1134 and 336.
42
What is the greatest common factor of 441 and 98?
49
Calculate the greatest common divisor of 1064 and 56.
56
Calculate the highest common factor of 1692 and 47.
47
What is the greatest common divisor of 6 and 102?
6
What is the greatest common divisor of 4347 and 28?
7
Calculate the greatest common divisor of 100 and 225.
25
Calculate the highest common divisor of 1802 and 34.
34
Calculate the greatest common factor of 1817 and 158.
79
Calculate the highest common divisor of 8094 and 1136.
142
What is the greatest common factor of 326 and 3749?
163
Calculate the highest common divisor of 10 and 150.
10
What is the highest common divisor of 1392 and 48?
48
What is the greatest common factor of 2232 and 72?
72
Calculate the greatest common factor of 60 and 2355.
15
Calculate the highest common divisor of 3107 and 104.
13
Calculate the highest common factor of 392 and 3626.
98
Calculate the highest common divisor of 646 and 272.
34
What is the greatest common factor of 425 and 68?
17
Calculate the highest common factor of 2 and 1318.
2
What is the highest common divisor of 508 and 5207?
127
Calculate the greatest common divisor of 13 and 12441.
13
What is the highest common factor of 522 and 725?
29
Calculate the highest common factor of 2120 and 80.
40
What is the highest common divisor of 7 and 553?
7
Calculate the highest common factor of 12 and 24.
12
Calculate the greatest common divisor of 77 and 19789.
77
Calculate the greatest common divisor of 200 and 225.
25
What is the greatest common factor of 4279 and 77?
11
Calculate the highest common divisor of 20 and 260.
20
What is the highest common factor of 270 and 486?
54
Calculate the highest common divisor of 18 and 5526.
18
Calculate the greatest common factor of 7 and 25.
1
Calculate the highest common factor of 342 and 456.
114
Calculate the highest common divisor of 4683 and 42.
21
What is the highest common factor of 1533 and 168?
21
Calculate the highest common factor of 908 and 8.
4
Calculate the greatest common divisor of 60 and 5900.
20
Calculate the highest common divisor of 37 and 925.
37
Calculate the greatest common divisor of 178 and 122.
2
Calculate the greatest common factor of 276 and 690.
138
Calculate the greatest common divisor of 20 and 30.
10
Calculate the greatest common divisor of 407 and 1739.
37
What is the highest common factor of 430 and 50?
10
Calculate the greatest common factor of 966 and 42.
42
Calculate the greatest common divisor of 273 and 1781.
13
Calculate the highest common divisor of 4 and 7508.
4
Calculate the greatest common factor of 329 and 63.
7
What is the highest common divisor of 1360 and 85?
85
What is the highest common divisor of 150 and 50?
50
What is the highest common factor of 8319 and 282?
141
Calculate the greatest common factor of 1793 and 297.
11
What is the greatest common factor of 3738 and 890?
178
Calculate the greatest common divisor of 225 and 180.
45
What is the greatest common factor of 6078 and 12?
6
What is the greatest common divisor of 120 and 150?
30
Calculate the highest common divisor of 36 and 828.
36
What is the highest common factor of 33 and 7?
1
Calculate the highest common factor of 56 and 525.
7
What is the greatest common divisor of 520 and 8450?
130
Calculate the highest common divisor of 595 and 175.
35
What is the greatest common divisor of 3514 and 28?
14
Calculate the greatest common factor of 4316 and 52.
52
What is the highest common factor of 40 and 140?
20
What is the highest common factor of 9675 and 45?
45
Calculate the highest common divisor of 490 and 28.
14
Calculate the highest common divisor of 255 and 27795.
255
Calculate the highest common divisor of 26 and 299.
13
Calculate the highest common factor of 145 and 29.
29
Calculate the greatest common factor of 14 and 5789.
7
What is the highest common divisor of 14 and 28?
14
What is the greatest common divisor of 648 and 117?
9
What is the highest common divisor of 40 and 350?
10
Calculate the highest common divisor of 219 and 11169.
219
Calculate the highest common divisor of 475 and 8740.
95
Calculate the greatest common factor of 13 and 1807.
13
Calculate the highest common factor of 100 and 350.
50
Calculate the greatest common factor of 132 and 2724.
12
What is the greatest common divisor of 8415 and 30?
15
What is the highest common factor of 1431 and 27?
27
What is the greatest common factor of 592 and 37?
37
Calculate the highest common divisor of 7 and 38353.
7
What is the greatest common divisor of 225 and 50?
25
Calculate the highest common factor of 253 and 4485.
23
Calculate the greatest common factor of 162 and 108.
54
Calculate the greatest common divisor of 6929 and 41.
41
What is the highest common divisor of 10471 and 74?
37
Calculate the greatest common divisor of 31 and 899.
31
Calculate the greatest common factor of 9 and 21.
3
Calculate the highest common factor of 297 and 81.
27
What is the greatest common factor of 168 and 816?
24
Calculate the greatest common factor of 168 and 588.
84
Calculate the greatest common divisor of 12 and 138.
6
Calculate the highest common divisor of 1463 and 133.
133
What is the greatest common factor of 60 and 720?
60
Calculate the highest common factor of 104 and 8.
8
What is the greatest common divisor of 306 and 72?
18
Calculate the greatest common factor of 155 and 186.
31
Calculate the highest common factor of 55 and 7645.
55
Calculate the greatest common factor of 45 and 120.
15
Calculate the greatest common factor
|
{
"pile_set_name": "DM Mathematics"
}
|
-101 = -14*g + 51 + 198 for g.
25
Solve 0 = 11*n - 22*n - 11*n + 88 for n.
4
Solve 57*h - 46*h = 193*h + 182 for h.
-1
Solve 88*g - 457 - 71 = 0 for g.
6
Solve -53 = 70*n - 403 for n.
5
Solve 135*l + 296 = 34*l - 195*l for l.
-1
Solve 328*w - 8025 = 7*w for w.
25
Solve -226*r + 32*r + 4671 = -21*r for r.
27
Solve -4*y + 8*y + 110 = 14*y for y.
11
Solve 145*s = 157*s - 36 for s.
3
Solve -10*g = -4349 + 4409 for g.
-6
Solve -53*x - 525 = -43*x - 45*x for x.
15
Solve 1340*z = 1711*z - 7791 for z.
21
Solve 394*o - 369*o + 50 = 0 for o.
-2
Solve 0 = -417*f + 408*f - 162 for f.
-18
Solve 90*d - 731 = 1069 for d.
20
Solve 50*j + 303 = -347 for j.
-13
Solve -7136*t + 7129*t + 98 = 0 for t.
14
Solve 1776 = -916097*f + 916145*f for f.
37
Solve -1588*w - 1634*w + 3283*w = 0 for w.
0
Solve -190*o - 117 = -229*o for o.
3
Solve 16*g - 91*g = -900 for g.
12
Solve -8*j - 112 = 32 for j.
-18
Solve 253*z = 229*z + 240 for z.
10
Solve 1975*l - 105 = 2010*l for l.
-3
Solve -26*x + 9*x + 75 = 7 for x.
4
Solve -1144 = -80*h - 8*h for h.
13
Solve 0 = -136*d - 1477 - 1248 + 413 for d.
-17
Solve 391*n - 382*n - 39 = 15 for n.
6
Solve -10438 = 129*x - 12760 for x.
18
Solve -266*d + 1 - 1 = -256*d for d.
0
Solve -78*x - 896 = -156*x - 146*x for x.
4
Solve 0 = -8845*s + 8846*s + 22 for s.
-22
Solve 82*l - 219 = -180*l + 43 for l.
1
Solve -153*l - 2547 = -436*l for l.
9
Solve 152*b + 5*b - 2700 = -68*b for b.
12
Solve -31*x + 89*x + 412 = -110 for x.
-9
Solve -497 = -13919*j + 13990*j for j.
-7
Solve 1298 + 1194 = 17*d + 2713 for d.
-13
Solve -236442*f + 154 = -236435*f for f.
22
Solve 0 = -16540*l + 16522*l + 288 for l.
16
Solve 0 = 42589*h - 42616*h + 297 for h.
11
Solve 443*k = 486*k + 688 for k.
-16
Solve -5434*d = -5391*d - 172 for d.
4
Solve -354*m + 20*m = 668 for m.
-2
Solve 106*k = 35*k - 426 for k.
-6
Solve -3*q - 319 = -32*q for q.
11
Solve 672 = 29*n - 9*n + n for n.
32
Solve 0 = -61*r - 27473 + 26558 for r.
-15
Solve -24*m - 21 - 3 = 0 for m.
-1
Solve -196 - 44 = -39*y + 150 for y.
10
Solve 162*y - 83*y + 15 = 84*y for y.
3
Solve -292*l - 1774 = -222*l - 444 for l.
-19
Solve 164*t = -1941 + 137 for t.
-11
Solve -15*p = -6*p - 102 + 30 for p.
8
Solve 79*i - 225*i + 4480 = 134*i for i.
16
Solve -644 - 5908 = 192*t + 172*t for t.
-18
Solve -19110*w - 35 = -19075*w for w.
-1
Solve 0 = -3508*s + 3491*s + 136 for s.
8
Solve -92*r - 150 = -36*r + 186 for r.
-6
Solve -4*c + 48 = -23*c + 7*c for c.
-4
Solve -42321*w + 42299*w = 44 for w.
-2
Solve 281*x + 312 = 305*x for x.
13
Solve -199*o = -178*o for o.
0
Solve -2625 = 205*k - 30*k for k.
-15
Solve 6630 = -13*s + 6656 for s.
2
Solve 1900 = -576*f + 481*f for f.
-20
Solve 0 = 280*p - 266*p + 532 for p.
-38
Solve 0 = -48*x - 3935 + 4607 for x.
14
Solve -2524 = 467*h + 3294 + 5390 for h.
-24
Solve -18*g + 86 - 95 = 369 for g.
-21
Solve 0 = 30579*g - 30560*g + 133 for g.
-7
Solve 0 = -79*i + 2137 - 1426 for i.
9
Solve 6053 = -239*w + 2707 for w.
-14
Solve 45*f - 508 = -103 for f.
9
Solve 107*q - 1294 = -11*q - 4362 for q.
-26
Solve -6215 = -30*b - 7205 for b.
-33
Solve 136 = 6*q + 148 for q.
-2
Solve -127*d + 88 - 1708 = 31 for d.
-13
Solve 15*a = 125*a + 114 + 106 for a.
-2
Solve 61*k + 314 = 995 + 417 for k.
18
Solve -61*h = 48*h - 80*h - 87 for h.
3
Solve -21637 = -2*f - 21613 for f.
12
Solve -3*y - 677 = -105*y + 751 for y.
14
Solve 1743 = -179*y + 279 - 326 for y.
-10
Solve -9397 = -114*o - 202*o - 3077 for o.
20
Solve -19159*j = -19165*j + 54 for j.
9
Solve 31*f - 10*f - 369 = -20*f for f.
9
Solve 53623 = -107*v + 54051 for v.
4
Solve 1 = -17*p + 23 + 29 for p.
3
Solve 0 = 29*v + 3 - 37 + 5 for v.
1
Solve 6601*v = 6606*v + 70 for v.
-14
Solve 227 = 13*h - 33*h - 33 for h.
-13
Solve 314*h + 30*h - 3575 = 19*h for h.
11
Solve -156*y - 93*y - 1365 = -54*y for y.
-7
Solve 0 = -84*y + 5*y - 102*y - 2172 for y.
-12
Solve -8876*d + 8843*d - 693 = 0 for d.
-21
Solve -11*j - 8 = -2*j + 82 for j.
-10
Solve 15*f - 16 = 35*f - 19*f for f.
-16
Solve 5*f + 10*f = -19*f + 272 for f.
8
Solve -136*p + 1810 = 45*p for p.
10
Solve 2870 = -292*c + 87*c for c.
-14
Solve 13*z + 21 + 12 = -19 for z.
-4
Solve 285*m = 1776 + 2214 for m.
14
Solve 22*f - 67 = 70 + 215 for f.
16
Solve 357*i + 11531 - 2249 = 0 for i.
-26
Solve 23*u + 11*u - 18*u - 96 = 0 for u.
6
Solve 0 = -5*k + 32*k + 222 + 48 for k.
-10
Solve 45*y - 43 = 16*y + 73 for y.
4
Solve 4*c = 48*c + 27*c + 497 for c.
-7
Solve -27*h + 18 = -51*h - 342 for h.
-15
Solve -51*u + 69 = 41*u - 23*u for u.
1
Solve -366 = -175*g - 1416 for g.
-6
Solve -33*c - 12*c - 10*c = 660 for c.
-12
Solve 1331 = 419*r + 4264 for r.
-7
Solve -3170*l + 3222*l - 1040 = 0 for l.
20
Solve -496*d = -423*d + 949 for d.
-13
Solve 19*j + 40 = -21*j - 0*j for j.
-1
Solve 171*z + 313 = -1233 - 1532 for z.
-18
Solve 57*w = -1 - 56 for w.
-1
Solve 40*l - 7328 = -7528 for l.
-5
Solve 70454*p - 70471*p = -119 for p.
7
Solve 4*b - 42*b - 182 - 198 = 0 for b.
-10
Solve 21*t = -6090 + 6258 for t.
8
Solve -71*k - 180*k + 1144 = -303*k for k.
-22
Solve -10873*b + 231 = -10894*b for b.
-11
Solve 29*v = -726 + 871 for v.
5
Solve -24*t + 72*t - 96 = 0 for t.
2
Solve -1521 + 1337 = -8*m for m.
23
Solve 0 = -3905*s + 3788*s + 1638 for s.
14
Solve 46*s + 491 + 103 = 88 for s.
-11
Solve 0 = -333*n - 3340 - 3320 for n.
-20
Solve 77*t = -15*t - 276 for t.
-3
Solve 36*r + 59*r - 435 = 124*r for r.
-15
Solve -712*p - 879 - 615 = -629*p for p.
-18
Solve -1877 = 23*u - 1992 for u.
5
Solve -508*m - 2638 + 8721 = -1377*m for m.
-7
Solve 36*k - 134 = -62 for k.
2
Solve 35*z + 0 - 73 = 67 for z.
4
Solve -79 = 19*n + 90*n + 30 for n.
-1
Solve 57*n - 16*n = 11*n - 390 for n.
-13
Solve -4600 = 137*w - 367*w for w.
20
Solve -20*l + 95583 - 95803 = 0 for l.
-11
Solve 201*g + 487*g + 612 = 4052 for g.
5
Solve -38*s + 135 = -15*s - 14*s for s.
15
Solve -4*m + 14*m - 1963 + 1953 = 0 for m.
1
Solve -28*l - 224 = -97 + 405 for l.
-19
Solve -45*n - 16*n = 24*n - 510 for n.
6
Solve 0 = 242*n - 116*n + 1638 for n.
-13
Solve -49*y - 1264 + 529 = 0 for y.
-15
Solve -438*c = -24710 + 20768 for c.
9
Solve -1215 + 589 = 2*q - 606 for q.
-10
Solve -61*l - 235 = 20*l + 1223 for l.
-18
Solve 162*z - 3535 = 2135 for z.
35
Solve 40 = -6441*d + 6449*d for d.
5
Solve -136 = -18*z + 37*z - 174 for z.
2
Solve 19*o + 9*o = 5*o + 69 for o.
3
Solve -23 + 19 = -8*r - 12 for r.
-1
Solve 21*k + 246 = -101 - 10 for k.
-17
Solve 4*h + 26*h + 75 = 5*h for h.
-3
Solve -27*q + 1499 = 1715 for q.
-8
Solve 7139*p = 7123*p + 208 for p.
13
Solve -85*b - 129*b - 2040 = -299*b for b.
24
Solve 752*p - 399*p - 840 = 393*p for p.
-21
Solve 47*r - 17*r + 3 = 333 for r.
11
Solve 0*i + 1774 = 187*i - 283 for i.
11
Solve 1386*g - 152 = 1424*g for g.
-4
Solve 1122*w - 1038*w - 1260 = 0 for w.
15
Solve 4178 = -571*m + 15598 for m.
20
Solve 2*s + 7*s - 88 = 17*s for s.
-11
Solve 32*i + 22*i = 50*i - 8 for i.
-2
Solve -8*h - 651 = -53*h + 14*h for h.
21
Solve -17 = -904*g + 905*g for g.
-17
Solve -64*r + 209 + 130 = 83 for r.
4
Solve -15*i = 20*i - 13*i + 330 for i.
-15
Solve -42*d + 1925 = 1379 for d.
13
Solve -126 = -6*g - 0*g - 8*g for g.
9
Solve -2*p = -28*p - 6*p + 128 for p.
4
Solve -131*r = -928*r - 10361 for r.
-13
Solve -511 + 34 = 53*g for g.
-9
Solve -7*l - 9*l = 6*l + 66 for l.
-3
Solve 0 = 171*l + 6868 - 1225 for l.
-33
Solve -155*x = -159*x + 24 for x.
6
Solve -287 + 245 = 7*l for l.
-6
Solve -1113*d + 1143*d - 600 = 0 for d.
20
Solve -829*m = 8363 + 8008 - 3107 for m.
-16
Solve -42*l - 292 + 82 = 0 for l.
-5
Solve 0 = -74*h - 565 - 101 for h.
-9
Solve -1069*v = -1024*v - 180 for v.
4
Solve 0 = -158*n - 84*n + 3388 for n.
14
Solve 99*p = 1537 - 3616 for p.
-21
Solve 862*z - 233*z + 1079 = -808 for z.
-3
Solve 1312 = -224*w - 26*w - 78*w for w.
-4
Solve -28*h + 113 = 51*h - 45 for h.
2
Solve -182*o = 190*o - 402*o + 450 for o.
15
Solve 158*b + 148*b - 6802 = 127*b for b.
38
Solve 98 = -1237*p + 2474*p - 1230*p for p.
14
Solve 174*z - 61*z = -678 for z.
-6
Solve -40*x + 818 = 498 for x.
8
Solve 638 - 619 + 1926 = -389*p for p.
-5
Solve 3839 + 140 = -575*p + 18929 for p.
26
Solve 522*f - 457*f - 756 = 609 for f.
21
Solve -456 = -9*v - 23*v - 6*v for v.
12
Solve -389 = -279*m + 2896 + 2853 for m.
22
Solve 179*r + 728 - 124 = -2439 for r.
-17
Solve -76*x + 152*x = 760 for x.
10
|
{
"pile_set_name": "DM Mathematics"
}
|
ollect the terms in -53*p - 18*p + 6*p - 57*p.
-122*p
Collect the terms in 62*f**2 + 40*f**2 - 48*f**2 + 73*f**2 + 2.
127*f**2 + 2
Collect the terms in -90*x - 63*x + 3*x**2 + 153*x.
3*x**2
Collect the terms in 42*b**2 - 90*b**2 + 52*b**2.
4*b**2
Collect the terms in -4127*v + 163*v**2 + 4127*v.
163*v**2
Collect the terms in 0*p + 0*p**3 - p**3 + 0*p + 44.
-p**3 + 44
Collect the terms in -p + 2*p + 2*p + 4*p.
7*p
Collect the terms in 111*c - 215*c + 118*c.
14*c
Collect the terms in -5*n - n + 3*n + 0*n.
-3*n
Collect the terms in 2 - 4 + 2 + 319*p**2.
319*p**2
Collect the terms in 0*a + 8*a + 7*a - 19*a + 5*a.
a
Collect the terms in 4*y**2 + 7*y**2 - 55*y**3 + 4*y**2.
-55*y**3 + 15*y**2
Collect the terms in 18 + 19 - 36 + b**3.
b**3 + 1
Collect the terms in 1 + 5*n + 1 - 1 - 7.
5*n - 6
Collect the terms in 4*x**2 + 312*x - 312*x.
4*x**2
Collect the terms in k - 8*k + 8*k - 4*k + k.
-2*k
Collect the terms in -133*i - 13*i + 632*i.
486*i
Collect the terms in -15*t**3 - 8*t**3 - 39*t**3.
-62*t**3
Collect the terms in 36 + 37 + 31 - 104 + 6*g**3.
6*g**3
Collect the terms in 0*j**2 + 4*j**2 + 19*j**2.
23*j**2
Collect the terms in -173*l**2 - 192*l**2 + 313*l**2.
-52*l**2
Collect the terms in -19*j**3 + 55*j**3 - 16*j**3 - 19*j**3.
j**3
Collect the terms in 87*s**3 - 1509*s**2 + 1509*s**2.
87*s**3
Collect the terms in -3*d + 16*d**2 + 3*d - 15*d**2.
d**2
Collect the terms in 4548*o + 4547*o - 9093*o.
2*o
Collect the terms in 9 + 16*z**2 - 9 - 27*z**2 + 10*z**2.
-z**2
Collect the terms in -26*x**3 - 86*x**2 - 6*x + 86*x**2.
-26*x**3 - 6*x
Collect the terms in 39*n**3 - 46*n**3 + 4*n**2 - 4*n**2.
-7*n**3
Collect the terms in 6*n + 8*n - 3*n - 18*n + 0*n.
-7*n
Collect the terms in -c**3 - 124*c + 240*c - 116*c.
-c**3
Collect the terms in -4 + 4 - 25*m**3 - 16*m**3.
-41*m**3
Collect the terms in -9 - 14 - 4*f + 23.
-4*f
Collect the terms in -2 - 60*k + 1 - 45*k.
-105*k - 1
Collect the terms in 1 - 1310*d + 1314*d - 1.
4*d
Collect the terms in 113 - 53 - 151*a**2 - 60.
-151*a**2
Collect the terms in 17*f**3 + 5 - 6 - 15*f**3 + 1.
2*f**3
Collect the terms in -i**2 - 2*i**2 - 7*i**2 + 3*i**2.
-7*i**2
Collect the terms in 8*t + 28*t + 4*t.
40*t
Collect the terms in -8*m**2 - 11 + m**2 + 11.
-7*m**2
Collect the terms in -5*x**2 - 2577*x + 2*x**2 + 1295*x + 1282*x.
-3*x**2
Collect the terms in 4987*g - g**2 - 4987*g.
-g**2
Collect the terms in 2824 + 0*f**2 - 2*f**2 - 2824.
-2*f**2
Collect the terms in 4 - 4 + 4*i.
4*i
Collect the terms in -2*n - 86014 + 2*n + 2*n**3 + 86014.
2*n**3
Collect the terms in -7*l - 98 + 98.
-7*l
Collect the terms in -8 - 18*k**2 + 5 - 4 - 7.
-18*k**2 - 14
Collect the terms in -5337*o - 5338*o + 10675*o + o**3.
o**3
Collect the terms in 0*b + 1819*b**3 + 2*b - 1842*b**3.
-23*b**3 + 2*b
Collect the terms in -145529*j - 145528*j + 291055*j.
-2*j
Collect the terms in -s + 72 + s - 21*s**2.
-21*s**2 + 72
Collect the terms in -1281*q**2 - 2 + 2 + 1282*q**2.
q**2
Collect the terms in -5 - 12*m + 1 - 9*m.
-21*m - 4
Collect the terms in 18*r - 5*r**3 + r**3 + 6*r**3 - 3*r**3.
-r**3 + 18*r
Collect the terms in -1674889*a + 1674889*a + a**3.
a**3
Collect the terms in -3*a**3 + 18*a**3 - 10*a**3.
5*a**3
Collect the terms in -15*c - 3*c**2 - 14*c + 29*c.
-3*c**2
Collect the terms in 25*i**3 - 63*i**3 + 17*i**3 + 20*i**3.
-i**3
Collect the terms in -9*t**3 + 14*t**3 + 81*t**3.
86*t**3
Collect the terms in 9 + 6*d - 15 + 6.
6*d
Collect the terms in 15122 - 5*g**2 - 15122.
-5*g**2
Collect the terms in 1 - j**2 - 2 + 2 - 7*j**2.
-8*j**2 + 1
Collect the terms in 4*p - 8*p**3 - 62*p**3 - 4*p.
-70*p**3
Collect the terms in 13*z**3 + 3*z**3 + 88*z**3.
104*z**3
Collect the terms in 1297 - 1297 - d**3.
-d**3
Collect the terms in 426 + o**2 + 438 - 864.
o**2
Collect the terms in -12 - 6 + 724*x**2 - 725*x**2 + 18.
-x**2
Collect the terms in -6*y**2 + 7*y**2 + 6*y**2.
7*y**2
Collect the terms in -7*s - 3*s - 13*s + 27*s.
4*s
Collect the terms in -4*f + 4*f - 2*f.
-2*f
Collect the terms in m**2 - m**2 - 17*m**2 + 14*m**2.
-3*m**2
Collect the terms in -13 + 2 + 4*o - o - 6.
3*o - 17
Collect the terms in -8*u + 2*u + 4*u.
-2*u
Collect the terms in -18*v + 34*v + 38*v.
54*v
Collect the terms in -3409 + 1707 + 1702 + 2*a.
2*a
Collect the terms in 76*t - 227*t + 77*t + 76*t.
2*t
Collect the terms in 6*f - 3*f - 17 - 2*f + 283.
f + 266
Collect the terms in -5*k - 3*k**3 + 10*k - 23*k - 10*k.
-3*k**3 - 28*k
Collect the terms in -8*s**3 - 16*s**2 + 16*s**2 + 2*s**3.
-6*s**3
Collect the terms in 2*y**3 + 1220 - 1220.
2*y**3
Collect the terms in 4*j - 4*j - 482*j**2 + 966*j**2 - 483*j**2.
j**2
Collect the terms in f - 11*f - 2*f.
-12*f
Collect the terms in -13*f**3 + 6*f**3 + 11*f**3.
4*f**3
Collect the terms in -7 - 32*w**3 + 30*w**3 + 7.
-2*w**3
Collect the terms in -6*i + 10*i - 2*i.
2*i
Collect the terms in -122 + 2*r + 122.
2*r
Collect the terms in 38*x - 13*x - 7*x.
18*x
Collect the terms in -18*r**3 - 24*r**3 + 67*r**3 + 60*r**3.
85*r**3
Collect the terms in 4*b**2 + 21 - 19 - b**2.
3*b**2 + 2
Collect the terms in -16083*i - 15556*i + 4351*i.
-27288*i
Collect the terms in -28*s**3 + 186*s**2 - 186*s**2.
-28*s**3
Collect the terms in -90*x**3 - 92*x**3 - 89*x**3 + 274*x**3.
3*x**3
Collect the terms in 1344*p**2 - 670*p**2 - 672*p**2.
2*p**2
Collect the terms in -5*d**2 + d**2 - 2*d**2 - 2*d**2.
-8*d**2
Collect the terms in 5*b + 4*b**3 - 5*b + 7*b**3.
11*b**3
Collect the terms in 99 - 99 + 48*j**3.
48*j**3
Collect the terms in -45*b + 27 - 27.
-45*b
Collect the terms in -40*l**3 + 25*l**3 + 21*l**3.
6*l**3
Collect the terms in 9*h**3 - 6*h**3 - 5*h**3.
-2*h**3
Collect the terms in 17*w + 22*w - 33*w.
6*w
Collect the terms in j - 4*j + 12*j + 6*j.
15*j
Collect the terms in -78*m - 81*m + 160*m.
m
Collect the terms in -26 + 26 + 3*c - 2*c - 6*c.
-5*c
Collect the terms in -65*s + 230*s**3 + 65*s.
230*s**3
Collect the terms in 6*g**3 - 2*g**3 + 2*g**3 - 4*g**3.
2*g**3
Collect the terms in 4 - 44*q - 5 + 2.
-44*q + 1
Collect the terms in -74*d + 2 - 2 - 9*d.
-83*d
Collect the terms in 15*i**3 - 11*i**3 - 7 + 6 + 1.
4*i**3
Collect the terms in 136*k**3 - 31*k**3 - 4*k + 4*k.
105*k**3
Collect the terms in -4*d**3 + 4 + 3 - 7.
-4*d**3
Collect the terms in -67*k**2 - 79*k**2 + 143*k**2.
-3*k**2
Collect the terms in 24*y - 53*y + 33*y.
4*y
Collect the terms in 19 - 53 + 18 + 16 - 4*g**3.
-4*g**3
Collect the terms in -13*x + 8*x + 5*x + 15*x**3.
15*x**3
Collect the terms in 30 - 30 - 22*j + 22*j - 15*j**2.
-15*j**2
Collect the terms in 490*v**2 + 4 - 4 - 2461*v**2.
-1971*v**2
Collect the terms in -6*t**3 - 20*t**3 + 5*t**3.
-21*t**3
Collect the terms in 81*x + 79*x - 160*x + 5*x**3 + 5*x**3.
10*x**3
Collect the terms in 11368 + 2*n - 11368.
2*n
Collect the terms in -8 + 8 - 48*k - 48*k.
-96*k
Collect the terms in 127*r**3 - r**2 + r**2 - 24*r**3.
103*r**3
Collect the terms in i - 20*i**3 + 26*i**3 - i.
6*i**3
Collect the terms in 21*j + 19*j + 2*j - 11*j.
31*j
Collect the terms in -2*c**2 + 2*c**2 + 356*c**3 - 357*c**3.
-c**3
Collect the terms in 7*r**2 - 9*r**2 + 0*r**2 - r**2.
-3*r**2
Collect the terms in -206*h + 206*h + 2*h**2.
2*h**2
Collect the terms in 293*p**3 - 152*p**3 - 143*p**3.
-2*p**3
Collect the terms in 3971 - 7*n**2 - 3971.
-7*n**2
Collect the terms in -216*g**3 + 422*g**3 - 213*g**3.
-7*g**3
Collect the terms in 39 - 16 - 4*j - 23.
-4*j
Collect the terms in -26 + 39*w + 26.
39*w
Collect the terms in -1520*x + 3037*x - 1493*x.
24*x
Collect the terms in 22*m + 2*m**3 - 8*m**3 - 23*m.
-6*m**3 - m
Collect the terms in -2 - v + 19 - 10 - 7.
-v
Collect the terms in 9*i + 4*i - 18*i.
-5*i
Collect the terms in 17759 - 14*j**3 - 5*j**3 - 17759.
-19*j**3
Collect the terms in -89 - 4*o + 60 + 4*o + 2*o**2.
2*o**2 - 29
Collect the terms in 51 - 29 - 22 - x.
-x
Collect the terms in -9*q - q**2 - 2*q + 11*q.
-q**2
Collect the terms in 2*w**2 - 2227*w + 2227*w.
2*w**2
Collect the terms in -9*m**3 - 235*m + 235*m.
-9*m**3
Collect the terms in 59*d + 52*d + 3*d**2 - 111*d.
3*d**2
Collect the terms in -2*c + 8*c + c + 3*c.
10*c
Collect the terms in 13*c - 11*c - c.
c
Collect the terms in 16779*h + 13*h**3 - 16779*h.
13*h**3
Collect the terms in 39867*a - 2*a**2 - 39867*a.
-2*a**2
Collect the terms in -8*d**2 - 17*d**2 + 20*d**2 + 2*d**2.
-3*d**2
Collect the terms in
|
{
"pile_set_name": "DM Mathematics"
}
|
2184us?
0.000000000930894
What is thirteen fifths of a milligram in micrograms?
2600
How many minutes are there in thirteen fifths of a week?
26208
What is one fifth of a kilometer in meters?
200
How many milligrams are there in 5/4 of a gram?
1250
How many centuries are there in 105175.5 months?
87.64625
How many millimeters are there in five quarters of a meter?
1250
What is 1/10 of a century in years?
10
What is 119.9213m in nanometers?
119921300000
What is fifty-four fifths of a century in months?
12960
Convert 606141.3mm to meters.
606.1413
Convert 5.250991 decades to millennia.
0.05250991
How many millennia are there in 81467.54 decades?
814.6754
What is 2/15 of a day in minutes?
192
What is 9.130535ng in milligrams?
0.000009130535
Convert 4509.973ml to litres.
4.509973
How many days are there in 538.77744ms?
0.00000623585
What is seventeen quarters of a microgram in nanograms?
4250
What is eleven quarters of a meter in centimeters?
275
What is 9274.137 tonnes in nanograms?
9274137000000000000
How many nanometers are there in 13.64181 kilometers?
13641810000000
What is 3.658027 litres in millilitres?
3658.027
What is 3/32 of a day in minutes?
135
How many years are there in 27/2 of a millennium?
13500
Convert 0.3203796 millilitres to litres.
0.0003203796
What is 0.5042327cm in kilometers?
0.000005042327
What is 63.13357ml in litres?
0.06313357
What is thirteen fifths of a litre in millilitres?
2600
What is 3/5 of a millimeter in micrometers?
600
Convert 9.62742ug to grams.
0.00000962742
What is 2/125 of a gram in milligrams?
16
Convert 3.295856 nanograms to micrograms.
0.003295856
How many centuries are there in 160.4511 millennia?
1604.511
What is 501.6678 litres in millilitres?
501667.8
How many meters are there in 3/10 of a kilometer?
300
How many years are there in 1/5 of a century?
20
What is eight thirds of a century in months?
3200
What is 856.0993 micrometers in nanometers?
856099.3
Convert 718833.8 millennia to years.
718833800
What is 1/5 of a century in decades?
2
What is 427059.9 minutes in nanoseconds?
25623594000000000
What is 0.7745687 hours in seconds?
2788.44732
How many months are there in 27.50951 decades?
3301.1412
Convert 3.95857 nanometers to kilometers.
0.00000000000395857
How many micrometers are there in 55/4 of a millimeter?
13750
What is 49950.48l in millilitres?
49950480
How many meters are there in 30.93752um?
0.00003093752
How many millilitres are there in seven eighths of a litre?
875
How many milliseconds are there in 7/8 of a minute?
52500
How many nanograms are there in 28511.11 milligrams?
28511110000
How many nanograms are there in 9353.17 micrograms?
9353170
How many meters are there in 1614.127cm?
16.14127
What is 639255.6nm in meters?
0.0006392556
Convert 289.6596cm to kilometers.
0.002896596
What is 90304.69 days in milliseconds?
7802325216000
What is one quarter of a tonne in kilograms?
250
What is 11/2 of a microgram in nanograms?
5500
How many litres are there in 377061.6ml?
377.0616
How many millilitres are there in thirty-seven halves of a litre?
18500
What is 5/6 of a millennium in months?
10000
What is 27/4 of a meter in millimeters?
6750
What is 2/15 of a minute in seconds?
8
What is 0.7773608 centuries in months?
932.83296
How many micrometers are there in thirty-two fifths of a millimeter?
6400
What is 0.1435685 micrograms in grams?
0.0000001435685
How many litres are there in 35.68773 millilitres?
0.03568773
How many seconds are there in 2/27 of a week?
44800
What is 3/40 of a millisecond in microseconds?
75
How many kilograms are there in 0.1529599 grams?
0.0001529599
How many micrograms are there in 3538.888ng?
3.538888
What is 7/6 of a week in hours?
196
How many micrometers are there in 55.09018m?
55090180
How many millilitres are there in 13/5 of a litre?
2600
What is 803856.7 nanograms in kilograms?
0.0000008038567
What is 8.584597mm in meters?
0.008584597
Convert 314502.6 litres to millilitres.
314502600
What is one fifteenth of a millennium in months?
800
How many millilitres are there in 34/5 of a litre?
6800
How many milligrams are there in 75.49489ug?
0.07549489
What is 17/4 of a week in minutes?
42840
What is 0.1870261nm in millimeters?
0.0000001870261
How many hours are there in 1/6 of a week?
28
Convert 52928.72l to millilitres.
52928720
How many grams are there in 704.8131 kilograms?
704813.1
What is 3.893883 milligrams in grams?
0.003893883
What is 51/4 of a litre in millilitres?
12750
How many millilitres are there in fifty-five halves of a litre?
27500
How many millennia are there in 68.33873 years?
0.06833873
How many litres are there in 46909.2ml?
46.9092
What is 1/20 of a millisecond in nanoseconds?
50000
Convert 75586.1 nanograms to micrograms.
75.5861
How many millilitres are there in 0.2382083l?
238.2083
How many nanoseconds are there in 15.55028 minutes?
933016800000
How many milligrams are there in 7.60909 grams?
7609.09
What is fifty-four fifths of a milligram in micrograms?
10800
What is 29/5 of a millennium in years?
5800
What is 5/8 of a kilometer in meters?
625
What is 1/30 of a decade in months?
4
What is three fifths of a meter in centimeters?
60
How many years are there in 2893.97 centuries?
289397
What is thirty-four fifths of a litre in millilitres?
6800
Convert 0.7979413km to millimeters.
797941.3
What is 2/15 of a week in seconds?
80640
What is five eighths of a millisecond in microseconds?
625
How many minutes are there in 1/18 of a week?
560
How many months are there in 0.1822739 decades?
21.872868
How many kilograms are there in five quarters of a tonne?
1250
How many millilitres are there in 332.6997l?
332699.7
How many nanometers are there in three eighths of a micrometer?
375
What is 3/32 of a millisecond in nanoseconds?
93750
What is 6089.35131s in weeks?
0.010068371875
What is one quarter of a year in months?
3
Convert 0.8428644kg to micrograms.
842864400
What is 0.96827ml in litres?
0.00096827
Convert 76751.39ms to seconds.
76.75139
What is one quarter of a kilogram in grams?
250
Convert 916.2027 centimeters to millimeters.
9162.027
How many millilitres are there in 7/2 of a litre?
3500
What is 750726.4 litres in millilitres?
750726400
What is six fifths of a decade in months?
144
How many years are there in 2222.2365 months?
185.186375
How many grams are there in 11/4 of a kilogram?
2750
What is 1.1813889 months in millennia?
0.000098449075
How many nanograms are there in one tenth of a milligram?
100000
How many millilitres are there in 26.94197l?
26941.97
Convert 3257.648 weeks to minutes.
32837091.84
What is 18466.82mm in centimeters?
1846.682
How many meters are there in 0.4237914nm?
0.0000000004237914
How many grams are there in fifteen quarters of a kilogram?
3750
What is 41/2 of a milligram in micrograms?
20500
How many micrometers are there in one tenth of a meter?
100000
What is 2221.7538 months in decades?
18.514615
What is 256.270473 seconds in days?
0.0029660934375
What is 50.60732s in milliseconds?
50607.32
What is one quarter of a gram in milligrams?
250
What is 3/10 of a litre in millilitres?
300
How many days are there in 2341338.75ms?
0.027098828125
What is twenty-seven quarters of a microsecond in nanoseconds?
6750
How many millilitres are there in 7/2 of a litre?
3500
Convert 0.9759332nm to centimeters.
0.00000009759332
What is 3/8 of a litre in millilitres?
375
What is seven halves of a micrometer in nanometers?
3500
Convert 9623.91l to millilitres.
9623910
What is 18995.36nm in micrometers?
18.99536
What is 1/4 of a microsecond in nanoseconds?
250
What is 10/7 of a week in days?
10
Convert 421.5279 litres to millilitres.
421527.9
What is 74.94476 weeks in days?
524.61332
What is 92278.33 weeks in microseconds?
55809933984000000
What is 40751.9 years in months?
489022.8
Convert 16368.465 months to centuries.
13.6403875
How many millennia are there in 667772.4 years?
667.7724
How many seconds are there in 37/5 of a hour?
26640
How many minutes are there in 42177.06 seconds?
702.951
How many centimeters are there in 3/32 of a kilometer?
9375
What is 3/8 of a century in months?
450
What is four thirds of a decade in months?
160
What is 115.9907 days in weeks?
16.5701
How many nanoseconds are there in 31.06918 minutes?
|
{
"pile_set_name": "DM Mathematics"
}
|
et i(v) = v - 1. Let y be 5/2*(-4)/(-10). Let c(t) = 5*t - 1. Let n(d) = y*c(d) - 4*i(d). Differentiate n(u) wrt u.
1
Suppose -7*b = -6*b - 1. Differentiate -4*x**3 - 6*x**2 + 13*x**2 + b - 7*x**2 wrt x.
-12*x**2
Let m(o) be the first derivative of 9*o**6/2 + 8*o**2 - 39. Find the second derivative of m(c) wrt c.
540*c**3
Let m = 4 + -4. Find the third derivative of 4*j**4 + m*j**2 + j**2 + 2*j**2 wrt j.
96*j
Let g(y) = -1. Let z = 11 + -8. Let b(d) = 0 - 2*d**2 - 5*d + z + 7*d. Let h(r) = b(r) + 3*g(r). Find the second derivative of h(t) wrt t.
-4
Let y(m) be the first derivative of 12*m**5/5 + 3*m**3 + 11. Find the third derivative of y(o) wrt o.
288*o
Let d(z) be the first derivative of 5/3*z**3 - 2 - 2*z**4 + 0*z**2 + 0*z. Find the third derivative of d(b) wrt b.
-48
Let y(s) be the third derivative of -3*s**5/20 - s**4/4 + 8*s**2. Find the second derivative of y(p) wrt p.
-18
Let h = 3 - -3. Find the first derivative of -8 - 2*c**4 + c**4 + h wrt c.
-4*c**3
Suppose 8 = 4*s + 2*z, 10 = 4*s - 2*s - 2*z. Suppose -6*f = -2*f. What is the second derivative of f*q**3 + 5*q**s + q - 3*q**3 wrt q?
12*q
Suppose -1 - 14 = -5*x. Find the third derivative of y - y + y**x - 5*y**2 wrt y.
6
Let y be (3 + -2)*(1 + -1). Find the first derivative of -3 + v**3 - 2*v**3 + y*v**3 - v**3 wrt v.
-6*v**2
Let i(d) be the second derivative of -d**6/144 - d**5/30 + d**4/2 - d. Let g(m) be the third derivative of i(m). What is the derivative of g(z) wrt z?
-5
Let j(p) be the third derivative of p**4/4 + 5*p**3/6 + 2*p**2. Differentiate j(m) with respect to m.
6
Let t(i) = 24*i**3 - 4*i**2 - i + 7. Let v(u) = -72*u**3 + 11*u**2 + 3*u - 21. Let p(h) = 8*t(h) + 3*v(h). What is the second derivative of p(j) wrt j?
-144*j + 2
Let d(u) = -9*u**3 + 3*u**2 - 3*u + 10. Let z(c) = 8*c**3 - 2*c**2 + 2*c - 10. Let k(s) = -2*d(s) - 3*z(s). Find the first derivative of k(q) wrt q.
-18*q**2
Let i(j) = -j**3 + 4*j**2 - 2*j. Let r be i(3). Differentiate b**3 - 1 + 1 + 6 - r with respect to b.
3*b**2
What is the second derivative of -7*n**4 - 29*n - 36*n + 68*n wrt n?
-84*n**2
Let f(h) be the first derivative of 2 - 1/3*h**3 + 0*h**2 + 0*h**5 + 0*h**4 - 1/3*h**6 + 0*h. Find the third derivative of f(r) wrt r.
-120*r**2
Let r = 1 + 1. What is the second derivative of -6*k**r + 2*k**2 - 2*k**2 + k wrt k?
-12
Suppose 0*v - 4*v = -4*a - 36, -5*a = v + 3. Find the first derivative of v - 3 + 5 + 22*s - 14*s wrt s.
8
Let f(v) be the first derivative of -v**5 + 4*v**3 + 12. Find the third derivative of f(h) wrt h.
-120*h
Let t(l) be the third derivative of 0*l + 0 - 1/12*l**5 + 0*l**4 + 1/3*l**3 + 3*l**2. Differentiate t(s) wrt s.
-10*s
Let q(p) = -p**5 + p**4 + p - 1. Let j(i) = 39*i**5 - 2*i**4 - 19*i**2 - 2*i + 2. Let k(h) = j(h) + 2*q(h). What is the third derivative of k(d) wrt d?
2220*d**2
Let t(a) = -26*a**2 - 3*a - 3. Let p(i) = 25*i**2 + 4*i + 3. Let n(d) = 5*p(d) + 6*t(d). Find the second derivative of n(h) wrt h.
-62
Find the second derivative of -10*r - 685 + 685 - 9*r**3 wrt r.
-54*r
Let s(q) be the first derivative of q**7/840 - q**4/6 + q**3/3 + 1. Let j(m) be the third derivative of s(m). Differentiate j(a) with respect to a.
3*a**2
Let i(o) = 2*o**2 - 3*o. Let l be i(2). Let x = 14 - 12. Find the second derivative of 3*m - m**2 - m**x - m**l + 2*m**2 wrt m.
-2
Let z be (-2 - 0)/(6/9). Let q be 0 + 4 + 1 + z. What is the second derivative of -3*r**4 + r**4 - q*r + r**4 wrt r?
-12*r**2
Let u(n) be the third derivative of n**7/1680 - n**6/720 - n**5/30 - 3*n**2. Let a(j) be the third derivative of u(j). Differentiate a(i) with respect to i.
3
Let u(m) = -m**4 - m**3 - m + 1. Let j(q) = 3*q**4 + 2*q**3 + 4*q. Let p(y) = j(y) + 2*u(y). Let s(t) be the first derivative of p(t). Differentiate s(g) wrt g.
12*g**2
Suppose g + 4*g = 0. Let m(d) be the third derivative of 0*d**4 + 0*d - d**2 + g - 1/3*d**3 - 1/60*d**5. What is the first derivative of m(f) wrt f?
-2*f
Differentiate -58*w**3 + 11 + 58*w**3 - 15*w**4 with respect to w.
-60*w**3
Find the second derivative of 16*i + 10*i**5 - 3*i**5 + 8*i**5 wrt i.
300*i**3
Let b(w) = -3*w**4 - 3*w**3 + 3*w**2 + 7*w. Let p(h) = -4*h**4 - 2*h**3 + 2*h**2 + 6*h. Let i(l) = 2*b(l) - 3*p(l). What is the second derivative of i(q) wrt q?
72*q**2
Let i(c) = 7*c**4 + 3*c**3 + 6*c - 3. Let a(h) = -34*h**4 - 16*h**3 - 30*h + 16. Let o(w) = 3*a(w) + 16*i(w). What is the second derivative of o(j) wrt j?
120*j**2
Let z(x) = x**3 - 5*x**2 + x + 5. Let a be z(4). Let v = 11 + a. What is the third derivative of -8*k**2 + k**v + 0*k**2 + 7*k**2 wrt k?
24*k
Suppose 2*o = -3*o + 10. Suppose 2 = 3*w - 4. What is the first derivative of -1 + 2*t**3 - o*t**3 + w*t**3 wrt t?
6*t**2
Let g = -29 - -34. Let u(a) be the third derivative of -2*a**2 + 0 + 1/24*a**4 + 0*a + 0*a**g + 0*a**3 - 1/60*a**6. What is the second derivative of u(r) wrt r?
-12*r
Let o = 16 + -13. Find the second derivative of -6*r**o + r + 5*r + r**3 wrt r.
-30*r
Let u = 10 + -8. Find the third derivative of -3*y**2 + y**2 + 0*y**4 - 4*y**4 + y**u wrt y.
-96*y
Let s(i) be the third derivative of i**7/280 + i**5/40 - i**3/3 + i**2. Let r(d) be the first derivative of s(d). Find the second derivative of r(g) wrt g.
18*g
Let l(z) = -2*z**2 - 6. Let g(d) = -d**2 - 6. Let r(x) = 6*g(x) - 5*l(x). Differentiate r(h) wrt h.
8*h
Let r(c) = 26*c**6 - c**5 + 28*c**2 - 1. Let f(p) = p**6 - p**5 + p**2 - 1. Let z(b) = -f(b) + r(b). What is the third derivative of z(q) wrt q?
3000*q**3
Let h(l) be the first derivative of 3*l**4/4 + 5*l**3/3 - l - 1. Let f(m) = 4*m**3 + 6*m**2 - 1. Let u(c) = -5*f(c) + 6*h(c). Differentiate u(s) wrt s.
-6*s**2
Let m(p) be the second derivative of 0*p**2 + 0 + 3/20*p**5 - 1/2*p**3 + 2*p + 0*p**4. Find the second derivative of m(a) wrt a.
18*a
Let w(l) = -104*l**2 - 7*l - 113. Let g(s) = -35*s**2 - 2*s - 38. Let k(c) = -7*g(c) + 2*w(c). Differentiate k(q) wrt q.
74*q
Suppose -3*w - 3*i - 6 + 0 = 0, 3*w - 4*i - 22 = 0. Let f be ((-4)/5)/((-4)/10). What is the third derivative of 4*v**5 + 0*v**f - v**w - v**5 wrt v?
180*v**2
What is the third derivative of -6*o**3 + 10 - 5*o**2 - 10 wrt o?
-36
Let u(q) = 14*q**3 + 2*q + 7. Let g(a) = 13*a**3 + 3*a + 7. Let d(h) = 2*g(h) - 3*u(h). Differentiate d(k) with respect to k.
-48*k**2
Let i(y) = y**2 + 6*y + 4. Let a be i(-6). Suppose a*r = -0*r + 8. What is the third derivative of 3*c**2 - c**4 - c**r + 0*c**4 wrt c?
-24*c
Find the third derivative of 4*w**6 - 2*w**6 + 2*w**2 + 4*w**2 - 3*w**2 wrt w.
240*w**3
Let h(l) = -7*l**4 - 5*l - 16. Let y(u) = 3*u**4 + 2*u + 8. Let d(p) = -2*h(p) - 5*y(p). Differentiate d(n) with respect to n.
-4*n**3
Let s(q) be the first derivative of 4*q**5/5 - 2*q**3/3 + 8. What is the third derivative of s(v) wrt v?
96*v
Let a(u) be the third derivative of 2*u**7/15 - 31*u**3/6 - 18*u**2. Find the first derivative of a(d) wrt d.
112*d**3
Differentiate -1 + 5*n**2 - 4*n**2 + 3*n**2 wrt n.
8*n
Let b be (1 - (-1 - -2))/1. Let p = -3 - -7. What is the second derivative of b*s - p*s + 3*s + s**4 wrt s?
12*s**2
Find the first derivative of 19 - 3*o**2 + 8*o**2 - 3*o**2 wrt o.
4*o
What is the third derivative of 5*x**2 - 6*x**5 - 17*x**6 - 8*x**5 + 14*x**5 wrt x?
-2040*x**3
Let s(p) = 7*p - 10. Let i be s(4). Find the second derivative of 3*h - i*h + 9*h + 3*h**3 wrt h.
18*h
Let w(o) = o**4 + o**3 - o + 1. Let l(j) = -4*j**4 + 5*j**3 - 5*j. Let r(x) = -l(x) + 5*w(x). What is the derivative of r(u) wrt u?
36*u**3
Find the second derivative of 5*o + 17*o**4 - 1723*o**3 + 1723*o**3 wrt o.
204*o**2
Let p(u) be the first derivative of 0*u**2 + 1/6*u**3 - 2 + 1/6*u**4 + u. Let q(b) be the first derivative of p(b). What is the second derivative of q(i) wrt i?
4
Let f(y) = 8*y**3 + 18*y**2 + 2*y - 2. Let s(c) = c**3 - c**2 - c + 1. Let a(o) = -f(o) - 2*s(o). Find the third derivative of a(k) wrt k.
-60
Suppose -a = -11 + 7. Let q(w) be the second derivative of 0*w**5 + 3/2*w**2 + 0 - 2*w + 0*w**a + 0*w**3 + 1/15*w**6. Differentiate q(o) with respect to o.
8*o**3
Let z be 10/1 + -3 + 0. What is the second derivative of z - 7 - 4*f - f**5 wrt f?
-20*f**3
Let w(t) = -11*t**3 - 11*t**2. Let l(j) = j**3 - j**2. Let m(d) = -4*l(d) - w(d). What is the third derivative of m(x) wrt x?
42
What is the third derivative of -415*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
- 347. What is the units digit of m?
9
What is the tens digit of (1/(-3))/(38/(-107274))?
4
Let o(c) = -c**3 + 6*c**2 + 11*c - 1. Let v be o(6). Let j = v - 53. What is the tens digit of j?
1
Let n = -2759 + 4157. What is the tens digit of n?
9
Let a = -352 - -786. What is the units digit of a?
4
Let l(s) = 20*s - 2. Let m = 37 + -35. What is the tens digit of l(m)?
3
Let c(a) be the second derivative of -2*a + 5/3*a**3 + 0 - 1/2*a**2. What is the tens digit of c(2)?
1
Suppose 5*u - 12 - 9 = 2*l, -4*u - 5*l - 3 = 0. Suppose u*r - 2*r = -y + 103, 3*r = -4*y + 411. What is the hundreds digit of y?
1
Suppose 872 = 12*o + 4112. Let n = o + 472. What is the tens digit of n?
0
Let z = -26 + 32. Suppose -z*q + q = -325. What is the units digit of q?
5
Suppose 0*k - k + 4*a = -6, 5*a + 11 = 3*k. Suppose -65 + 27 = -k*n. What is the tens digit of n?
1
Suppose 3*p + p = 0. Let h(k) = k**3 + k - 34. Let w be h(p). What is the units digit of (4 - -2)*w/(-6)?
4
Suppose -13840 = -9*z - 2374. What is the thousands digit of z?
1
Suppose 10*y + 3*h + 2466 = 13*y, 2*h = -6. What is the units digit of y?
9
Let r(d) = 285*d**2 - 10*d + 14. What is the hundreds digit of r(2)?
1
Suppose -b + 5 = -0. Suppose 19*v - 14*v = 10. Suppose -b*n - 3*c + 55 = 2*c, -v*c + 50 = 4*n. What is the units digit of n?
4
Suppose 3*z = 4*v - 6, 2*z + z - 6 = 0. What is the units digit of v?
3
Let g = 47 - 51. What is the units digit of 11/(-44) - 341/g?
5
Suppose -7*s + 4 = -31. Suppose -5*f = -f - s*o - 26, 4*f = -2*o + 12. Suppose h + 0*h + 63 = g, -4*h + 244 = f*g. What is the tens digit of g?
6
Suppose r - 589 = 3*o, -896 + 3873 = 5*r + o. What is the units digit of r?
5
Let u(d) = 297*d**2 + 3*d + 2. Let b be u(-2). Suppose -5*g + 2*v + b = 5*v, g + v = 238. Suppose -75 = 4*w - g. What is the tens digit of w?
4
Let k = 5935 - 3328. What is the hundreds digit of k?
6
Let w(j) = 138*j - 4. Let o(h) = -2*h**3 + 4*h**2 + h - 1. Let s be o(2). What is the units digit of w(s)?
4
Suppose 4*d + 418 = j, 12 = -3*j - 4*d + 1330. What is the units digit of j?
4
Let l(f) = 3*f**2 - 3*f**2 - 6 + 3*f**2 - 4*f. Let j = -234 + 231. What is the tens digit of l(j)?
3
Let f be (-1989)/(-34) + -1*(-1)/(-2). What is the tens digit of (78/15)/(f/(-20) + 3)?
5
Suppose 3*o = p - 220, 4*p - 5*o - 226 = 3*p. Suppose -2*a = 3*r + 2*a - p, -3*a - 15 = 0. Suppose r = 3*u - 58. What is the tens digit of u?
4
Suppose -2*v - 1 = -9. Suppose -v*a + 481 = 3*r, 3*r + 2 = 11. What is the hundreds digit of a?
1
Let m = 6 - 10. Let g(t) = -t**3 - 2*t**2 + 3*t - 2. Let b be g(m). What is the units digit of 3/4*4 + b?
1
Suppose 422 = 2*w - 4*k - 1102, -2301 = -3*w + 3*k. What is the units digit of w?
2
What is the tens digit of ((-16)/(-48))/((-2)/(-426))?
7
Suppose -32 = 5*c - 2*t + 6*t, -2*c - 20 = -2*t. Let g(b) = 3*b**2 + 8*b - 15. What is the tens digit of g(c)?
1
Suppose 68 + 419 = d. What is the units digit of d?
7
Let a(s) = s**2 + 7*s + 43. What is the hundreds digit of a(23)?
7
Suppose -5*h - 4*z + 1230 = 0, -14*h - 3*z = -11*h - 738. What is the units digit of h?
6
Let n = -387 - -830. Let m = n + -311. What is the units digit of m?
2
What is the units digit of 2/(-14) - (595116/(-126) - -12)?
1
Let f(r) = 171*r + 24. What is the units digit of f(27)?
1
Let j = -164 - -283. Suppose -45 = -4*u + j. What is the units digit of u?
1
What is the hundreds digit of (3 - (-4)/(-2))*343?
3
Suppose 1208 = 4*v - 2*v - 7*k, 0 = 4*k. What is the hundreds digit of v?
6
Let r(p) = -p + 16. Let g be r(-9). Let k = 37 - g. What is the units digit of k?
2
Let l(r) = r**3 + 7*r**2 - 8*r - 1. Let g = -22 - -15. Let j be l(g). What is the units digit of j/4 - (-6)/(-8)?
3
Suppose 2*s + 17 = 5*u, -3*s - 12 = -8*u + 5*u. Suppose -g = -6*g + 4*b + 1169, -u*b = g - 230. What is the units digit of g?
3
Suppose 0 = 2*m - 2*q - 2 - 14, -5*q = 4*m + 13. Suppose -2*z + 254 = -m*n, 2*z + 0*z + 3*n = 254. What is the hundreds digit of z?
1
Suppose 4*u - 3*g - 21 = 0, -4*u - 4*g = -3*u + 9. Let o = 82 + -29. Suppose o - 5 = u*y. What is the tens digit of y?
1
Let r be ((-8)/4)/(6/(-12)). Suppose -84 = r*h + 4. Let a = h + 73. What is the tens digit of a?
5
Let p(f) = f**2 + 15*f - 16. Let x be p(-11). Let n = x - -101. What is the units digit of n?
1
Suppose -c + 1422 = 2*i, -i + 1608 = 4*c - 4073. What is the hundreds digit of c?
4
Suppose -4*q = -31 + 7. Let b(a) = a**3 - 4*a**2 + 3*a - 2. What is the units digit of b(q)?
8
Let d(l) = 29*l**3 + l**2 - 22*l - 14. What is the thousands digit of d(4)?
1
What is the units digit of 4/(-3) - ((-33995)/15 - -2)?
3
Let s = 29 - 49. Let d be s/2*510/(-50). What is the tens digit of ((-2)/4)/((-1)/d)?
5
Let y(c) = 2*c**2 - c + 2. Suppose -m + 3 = -0*m. Let v be y(m). Suppose 2*r - 18 = -5*t + v, 2*r = -4*t + 32. What is the tens digit of r?
1
What is the tens digit of (-25746)/(-10) - (-24)/60?
7
Let f = -14 - -47. Let g = -21 + f. What is the tens digit of g?
1
Suppose 0 = -i - 5*a - 8, -2*i + 12*a + 32 = 10*a. Suppose -c - 2*c + 5*l + 140 = 0, 5*c + l = 252. Let m = c + i. What is the tens digit of m?
6
What is the thousands digit of 195*(-1960)/(-525)*(-9)/(-4)?
1
Suppose -a - 10 = a. Let u(h) = -9*h**3 - 7*h**2 + 6. Let l(p) = 13*p**3 + 11*p**2 - 9. Let g(n) = a*l(n) - 7*u(n). What is the units digit of g(-4)?
5
What is the units digit of 1*689 - 19/(171/(-27))?
2
Let t(j) = -4*j - 19. Let a be t(-5). Let z(l) be the third derivative of 7*l**4/24 + l**3/6 - 4*l**2. What is the units digit of z(a)?
8
Suppose 0 = -2*v + 2*o + 2808, -2*v + 5*o + 2595 = -198. What is the units digit of v?
9
Let q = 7 + -8. What is the tens digit of q + (0 - (-42 + 3))?
3
Let a = 523 - 187. What is the units digit of a?
6
Suppose -3*c + 1839 = 8*r, -3*c + 2319 = 3*r + 495. What is the units digit of c?
5
Let a be ((-67)/(-4))/((-3)/(-12)). What is the tens digit of (-2)/(-4)*(a - 9)?
2
Let v be (-4)/(-14) - 5/(-7). Let m = 1 + v. Suppose -5 = -5*p + 2*o, 2*p - 22 = -2*p - m*o. What is the units digit of p?
3
Let o(t) = t - 16. Let j be o(15). Let n(u) = -4*u - 1. Let l be n(j). Suppose -l*w + 2*w = -24. What is the tens digit of w?
2
Suppose 3*z - 68 = 4*h, -3*z + 3*h = 7*h - 76. Let y = z - -6. What is the tens digit of y?
3
Let n(b) = b**2 + 18*b - 7. Let s be n(-18). Let z(t) = t**3 + 9*t**2 + 10*t + 3. What is the units digit of z(s)?
1
Let c(p) be the third derivative of -11*p**4/24 + p**3/2 + 7*p**2. What is the tens digit of c(-6)?
6
Let m be ((-7)/(-14))/(2 + (-127)/64). Suppose -2*n + m = -n. What is the tens digit of n?
3
Let f(w) = 7*w - 8. Let q(p) = -p - 8 + 8. Let t(j) = -f(j) - 4*q(j). What is the units digit of t(-5)?
3
Let l = 3217 + -2127. What is the hundreds digit of l?
0
Suppose 0 = 8*h - 2413 - 707. What is the hundreds digit of h?
3
Let z(j) = -2*j - 3. Let g be z(-5). Let f = g + -26. What is the tens digit of 1 - (3 - 2) - f?
1
Let m = 18 + -26. What is the tens digit of m/(-28) + 1644/28?
5
Let o be 16/4 - -2 - 2. Suppose -o*r + 0*r = 332. Let h = r - -127. What is the units digit of h?
4
Suppose 9 = -2*i + 1. Let d(b) = b**2 - 4*b - 2. What is the units digit of d(i)?
0
Let f(w) be the third derivative of w**5/60 + w**4/6 + 11*w**3/2 - 7*w**2 - w. What is the units digit of f(-13)?
0
Let x(t) = 17*t**3 - 4*t**2 - t - 3. What is the units digit of x(3)?
7
What is the hundreds digit of 1643/3 + 2/(-3)?
5
Let c(j) = -12 - 3*j + 0*j - 14 + 10. Let u = 7 - 19. What is the tens digit of c(u)?
2
Let v = -11 - -14. Suppose w + 15 = v*o, 0 = 4*o - 3 - 13. Let j = w - -4. What is the units digit of j?
1
Suppose -5*j + v = -0*j - 10081, 0 = -2*j - v + 4031. Suppose -4*c = 5*c - j. What is the units digit of c?
4
Let d be 4/((-5)/(-114 + 4)). Suppose 4*m + 0*m = -a - d, m + 4*a = -7. Let z = 56 + m. What is the units digit of z?
3
Let z be 0/(-1) - (-3 + -41). Suppose 5*c - z = 16. What is the tens digit of 26*(2 - c/8)?
1
Let p(w) = w**3 - 2*w**2 - 3*w + 2. Let i be p(5). Let m = -229 + 206. Let a = m + i. What is the units digit of a?
9
What is the units digit of (-5)/(160/(-6424)) + 1/4?
1
Let f = -8 + 10. Let g = f + 0. Suppose -19 = -g*o - 3. What is the units digit of o?
8
Suppose -3*h + 4*c + 215 = 0, 3*h - 20 = -2*c + 165. What is the tens digit of h?
6
Suppose -4*r = -18 + 66. Let y = -
|
{
"pile_set_name": "DM Mathematics"
}
|
33
Convert -540024 (base 6) to base 7.
-242341
Convert -5a51 (base 14) to base 10.
-15751
Convert -144 (base 13) to base 14.
-121
Convert 57a (base 16) to base 3.
1220221
What is -1324 (base 11) in base 14?
-8ac
-6366 (base 15) to base 8
-51035
-335 (base 12) to base 11
-3a0
-100100110111 (base 2) to base 3
-10020101
What is -1a07 (base 15) in base 11?
-4260
Convert d43 (base 15) to base 4.
232230
-314 (base 8) to base 4
-3030
What is -15582 (base 16) in base 6?
-1512430
Convert -101101010011 (base 2) to base 11.
-21a6
Convert 932 (base 13) to base 7.
4361
What is 2310 (base 6) in base 10?
546
What is -3235 (base 9) in base 10?
-2381
Convert -116 (base 15) to base 12.
-186
1a89 (base 11) to base 4
221032
Convert 165636 (base 7) to base 8.
100741
Convert -600 (base 16) to base 14.
-7ba
What is -14bd (base 15) in base 2?
-1000101100101
What is -1241 (base 8) in base 5?
-10143
Convert 178 (base 12) to base 2.
11101100
What is 2 (base 9) in base 2?
10
4137 (base 10) to base 16
1029
What is 7945 (base 13) in base 11?
11816
Convert 20416 (base 9) to base 2.
11010010010101
103103 (base 7) to base 6
214452
What is -b7 (base 13) in base 10?
-150
e2 (base 15) to base 3
21212
What is 1010101011 (base 2) in base 8?
1253
Convert -401651 (base 7) to base 15.
-151bb
Convert -4360 (base 8) to base 11.
-17a0
What is -8214 (base 10) in base 11?
-6198
-210303 (base 4) to base 12
-1443
Convert 976 (base 12) to base 11.
1050
-212503 (base 7) to base 10
-36949
What is 5241 (base 7) in base 16?
732
What is -21223012 (base 4) in base 13?
-1505b
Convert 221 (base 10) to base 11.
191
Convert -210 (base 11) to base 14.
-141
What is -33340 (base 5) in base 11?
-1842
-64026 (base 9) to base 11
-29870
17a (base 12) to base 11
1a7
-3306 (base 7) to base 11
-985
Convert -23120 (base 7) to base 4.
-1130012
bb1 (base 15) to base 9
3554
What is -123316 (base 7) in base 13?
-a4b9
What is -231 (base 10) in base 11?
-1a0
What is 102000 (base 3) in base 4?
10221
Convert 232251 (base 6) to base 8.
47007
Convert -16062 (base 7) to base 4.
-1012113
Convert 2000022210 (base 3) to base 11.
27833
What is -152 (base 15) in base 11?
-255
What is 1352454 (base 6) in base 12?
3872a
Convert -30441 (base 5) to base 3.
-2201221
What is 191c (base 13) in base 11?
28a3
Convert 30392 (base 11) to base 7.
243260
Convert 105 (base 7) to base 11.
4a
Convert 94 (base 10) to base 16.
5e
What is 11001110000 (base 2) in base 5?
23043
1102214 (base 5) to base 4
10221303
-41424 (base 5) to base 6
-20403
Convert -32411 (base 10) to base 8.
-77233
9622 (base 10) to base 6
112314
Convert 2030 (base 6) to base 7.
1212
Convert 1b38 (base 14) to base 12.
2a46
Convert -23a (base 14) to base 11.
-374
-2201 (base 4) to base 7
-320
-2244 (base 5) to base 3
-110000
Convert -21 (base 12) to base 11.
-23
What is -11230302 (base 4) in base 10?
-23346
Convert -8fd (base 16) to base 2.
-100011111101
Convert -11231 (base 5) to base 8.
-1460
Convert -111110 (base 3) to base 7.
-1026
What is 12164 (base 8) in base 7?
21160
-69 (base 11) to base 7
-135
What is 7 (base 9) in base 10?
7
What is 312210 (base 5) in base 11?
7819
Convert -10424 (base 5) to base 7.
-2104
44867 (base 11) to base 15
14389
What is -b6 (base 13) in base 5?
-1044
Convert 6a (base 12) to base 8.
122
122510 (base 6) to base 13
5001
Convert 531 (base 13) to base 15.
3e0
-3656 (base 7) to base 16
-554
Convert -193 (base 10) to base 5.
-1233
What is -299 (base 11) in base 14?
-1b0
What is -8b02 (base 12) in base 13?
-7025
Convert 121100112 (base 3) to base 6.
131105
-122120100 (base 3) to base 14
-494b
-6110 (base 7) to base 15
-95e
Convert 165 (base 7) to base 10.
96
-13a3 (base 12) to base 2
-100011101011
What is 521113 (base 6) in base 14?
112cd
What is -147 (base 9) in base 11?
-103
951 (base 15) to base 11
1640
101464 (base 8) to base 9
51060
What is -210123 (base 4) in base 11?
-182a
-1431 (base 14) to base 16
-df3
Convert -14443 (base 8) to base 4.
-1210203
Convert -1031 (base 7) to base 10.
-365
What is -3004443 (base 5) in base 11?
-32760
Convert 7440 (base 9) to base 14.
1dc3
Convert -1cd (base 14) to base 15.
-1a2
What is -35 (base 7) in base 9?
-28
Convert -112430 (base 5) to base 9.
-5572
What is -101010001 (base 2) in base 13?
-1cc
11c5 (base 15) to base 14
1545
What is -5c2 (base 14) in base 3?
-1120121
Convert -1150 (base 6) to base 2.
-100011010
What is -244113 (base 7) in base 6?
-542413
-3b (base 13) to base 14
-38
214 (base 6) to base 12
6a
What is -553 (base 13) in base 9?
-1224
What is 101101011 (base 2) in base 4?
11223
Convert -1420 (base 14) to base 15.
-10c1
625 (base 7) to base 14
185
What is -21331032 (base 4) in base 7?
-226620
What is 1010001001111 (base 2) in base 10?
5199
Convert -32220 (base 4) to base 2.
-1110101000
What is -102230 (base 4) in base 11?
-998
1011111111001110 (base 2) to base 8
137716
Convert 231 (base 5) to base 11.
60
Convert 4140 (base 5) to base 12.
395
110130 (base 7) to base 4
10231032
110011000 (base 2) to base 4
12120
Convert 2245 (base 6) to base 2.
1000010101
Convert -1525 (base 6) to base 7.
-1130
Convert -7a (base 11) to base 8.
-127
Convert -3d0 (base 15) to base 16.
-366
Convert -84178 (base 9) to base 14.
-16364
20032233 (base 4) to base 14
c3dd
Convert 177 (base 15) to base 14.
1a1
What is -13725 (base 11) in base 7?
-110606
-c60b (base 13) to base 9
-41512
-20132 (base 5) to base 15
-5b2
-2120333 (base 4) to base 6
-113155
-6031 (base 7) to base 13
-c40
What is 201144 (base 5) in base 16?
1918
Convert -3699 (base 11) to base 7.
-20034
-43061 (base 7) to base 4
-2212310
What is 8a74 (base 12) in base 8?
35770
Convert -1321 (base 7) to base 8.
-771
-1628 (base 16) to base 8
-13050
10056 (base 8) to base 5
113032
688d (base 14) to base 15
55a7
28111 (base 9) to base 13
8890
Convert 1648a (base 13) to base 6.
524525
Convert -2123322 (base 4) to base 13.
-4707
What is -2102011 (base 3) in base 4?
-123133
-1155 (base 10) to base 8
-2203
-1374 (base 8) to base 12
-538
-2250 (base 10) to base 9
-3070
-112010 (base 3) to base 11
-317
What is 111112 (base 6) in base 16?
2474
Convert -10001001110 (base 2) to base 14.
-58a
What is -9d9b (base 14) in base 8?
-65365
What is 37b9 (base 14) in base 5?
303032
What is -323104 (base 7) in base 15?
-11a3a
What is -2406 (base 14) in base 11?
-4798
Convert -e1b3 (base 15) to base 10.
-47643
What is -2213300 (base 5) in base 9?
-57821
586 (base 10) to base 5
4321
What is 23427 (base 8) in base 6?
114155
Convert -1d55 (base 15) to base 8.
-14354
Convert 22c0 (base 13) to base 4.
1030120
300 (base 5) to base 11
69
Convert -54172 (base 8) to base 7.
-123015
Convert 1001110001 (base 2) to base 13.
391
142634 (base 7) to base 8
65430
8e09 (base 15) to base 6
351343
What is -11f0 (base 16) in base 2?
-1000111110000
Convert -1a580 (base 11) to base 13.
-10065
What is -12872 (base 9) in base 5?
-234412
What is -14126 (base 11) in base 9?
-30528
What is -424 (base 10) in base 8?
-650
Convert -20022 (base 8) to base 7.
-32636
Convert -24041 (base 6) to base 2.
-110110011001
What is -200112002 (base 3) in base 10?
-13502
-1710 (base 8) to base 3
-1022212
What is 2b11 (base 15) in base 14?
3521
2237 (base 9) to base 3
2021021
What is -1751 (base 9) in base 13?
-7c3
Convert 255410 (base 6) to base 8.
55336
-943 (base 10) to base 14
-4b5
What is 3333 (base 7) in base 5?
14300
What is -405 (base 15) in base 16?
-389
Convert -156334 (base 7) to base 5.
-1443132
Convert -6104 (base 8) to base 3.
-11022022
What is 18777 (base 10) in base 15?
586c
What is 4 (base 16) in base 15?
4
1010001011000 (base 2) to base 15
1823
What is -57696 (base 10) in base 13?
-20352
-5117 (base 10) to base 14
-1c17
Convert -652 (base 9) to base 13.
-320
What is -20098 (base 10) in base 16?
-4e82
-1893 (base 11) to base 15
-aa1
What is 131221 (base 6) in base 16?
2ebd
What is 17700 (base 9) in base 2?
10111111000111
6bcc (base 14) to base 3
221210022
-b (base 13) to base 2
-1011
-13882 (base 9) to base 8
-22376
Convert -315455 (base 7) to base 9.
-83118
What is -3a47 (base 11) in base 14?
-1cb4
-2bd (base 14) to base 8
-1057
3362 (base 16) to base 3
200001012
Convert 2 (base 9) to base 12.
2
Convert -1271 (base 16) to base 13.
-21c2
What is a080 (base 14) in base 8?
65640
What is 426 (base 12) in base
|
{
"pile_set_name": "DM Mathematics"
}
|
3))*(-2*d**2 - 3*d**2 + 4*d**2).
-97*d**3
Expand (-3 - 1 + 2)*(-2*r**5 + 0 + 0) + (2*r**3 - r**3 + r**3 + 4*r**3 - 3*r**3 - 2*r**3 + (-2*r - 2*r + 3*r)*(-1 + 2*r**2 + 1))*(38*r**2 + 49*r**2 - 8*r**2).
-75*r**5
Expand (302 - 158 - 148)*(3*s + 6*s - 14*s).
20*s
Expand (2 - 2 - 2*c**2)*(-42*c - 26*c + 466 + 69*c).
-2*c**3 - 932*c**2
Expand (143*a + 101 - 101)*(-5*a + 7 - 7 + (1 - 2 + 0)*(5*a - a - 3*a)).
-858*a**2
Expand 37*h + 2 - 2 + (-3*h - 4*h + 6*h)*(0 - 4 + 3) + 2*h - 3 + 3.
40*h
Expand (2*p + 4 - 4)*(1 - 2 + 2) + (0 - 3 + 1)*(p + 1 - 1 + (4*p + p - 2*p)*(0 + 0 + 2)).
-12*p
Expand (2*f + f**2 + 1 - 1)*(-4560*f + 4560*f + 21*f**2).
21*f**4 + 42*f**3
Expand (l**4 - 3*l**4 + 0*l**4)*(5 - 2 - 2) + 0*l**4 - l**4 - 3*l**4 - 2*l**4 + l**4 + 0*l**4 - l**4 + l - l + (0*l**2 + 2*l**2 - 4*l**2)*(0 + 0 - 2*l**2).
-4*l**4
Expand (-1683 - 2284 + 333 - 395)*(-1 + 1 + 2*a**2).
-8058*a**2
Expand (2*w**3 - 6*w**3 + 10*w**3)*(2 - 2 + 2*w**2) + (0*w + 0*w + 2*w**2)*(-2*w**2 - w**3 + 2*w**2).
10*w**5
Expand (9 + 4*g - 2*g - 4*g)*(-59 + 2*g + 59 - 3*g**2).
6*g**3 - 31*g**2 + 18*g
Expand (1 - 5 + 5)*(-280*f + 0 + 0 - 122*f + 62*f).
-340*f
Expand (1 - 1 + w**2)*((-3 + 4 + 3)*(4 - 2 - 4) - 4 + 3 - 1 + (-3 + 1 + 0)*(1 + 1 - 3)).
-8*w**2
Expand (0*u - 2*u + 3*u)*(6 + 11 - 29)*(1 - 1 - 1).
12*u
Expand (t - 6*t + 1 + 4*t)*(-t**3 + 2*t**3 - 6*t**3)*(-3*t + 7*t + 0*t).
20*t**5 - 20*t**4
Expand (-n**2 + n**2 + n**2)*(-n**2 - n**2 + 0*n**2) + 6*n**2 - 9*n**4 - 6*n**2 + (4*n**2 - 3*n**2 + 0*n**2)*(n**2 + n**2 - n**2) - 14 + 2*n + 14 + 2*n**4.
-8*n**4 + 2*n
Expand (8*a + 2*a - 18*a + (-5*a + 2*a + 4*a)*(1 - 6 + 0) - 5*a + 5*a + 2*a)*(a - 4*a + a).
22*a**2
Expand -81*i + 388 - 388 + 4*i - 2*i - i + (1 - 4 + 4)*(0*i + i + 0*i) + i - 6*i + 3*i - 2*i - 1 + 1.
-83*i
Expand -5*l**3 + 4*l**3 + 3*l**3 + (44*l - 20*l + 25*l + (-4 - 2 + 4)*(2*l - 4*l + 0*l))*(-3 + 3 + 2*l**2).
108*l**3
Expand -o + 0*o - 3*o - o - 3*o + 3*o - 13*o + 3*o - 4*o + (-o - 2*o + o)*(2 + 2 - 2).
-23*o
Expand -3*p + 2*p - p + (-1 - 3 + 2)*(-p + 2*p - 4*p) - 1 + p + 1.
5*p
Expand (-1 - 14*a - 296*a - 319*a)*(-2 - a + 2).
629*a**2 + a
Expand (64*c + 353 - 710 + 357)*(4*c**2 - 4*c**2 + c**2).
64*c**3
Expand 1351*h**5 + 0*h**4 - 3*h**4 - 1408*h**5 + (2*h - 3*h - h)*(2*h**4 + 3 - 3).
-61*h**5 - 3*h**4
Expand (0*c**3 + 4*c**3 - 2*c**3)*(2*c**2 + 3*c**2 - 3*c**2) + 3*c**5 - 3*c**5 + 2*c**5 + c**5 + c**3 - c**3.
7*c**5
Expand (9*j**3 - 13*j**3 + 8*j**3)*(0 + 0 + j)*(-13 + 3 + 1).
-36*j**4
Expand (3 + 1 - 3)*(s**5 - s**5 + 2*s**5) + 308*s**5 + 0*s**4 + 13*s**4 - 309*s**5.
s**5 + 13*s**4
Expand (-2 - 3 + 4)*(-22*c - 19*c**4 + 22*c) + 0*c**2 + 0*c**2 - c**4 + (-4*c - 5*c**2 + 4*c)*(-2 + 2 - 2*c**2).
28*c**4
Expand (-q + q - 2*q)*(1 + 0 + 47823*q**3 - 47801*q**3 + q**2).
-44*q**4 - 2*q**3 - 2*q
Expand (0*j + j - 2*j)*(-2*j + 0*j + j) + 4*j**2 + 0*j**2 - 3*j**2 + (-10*j - 11*j + 4*j)*(-j + j + 6*j).
-100*j**2
Expand (-s**2 + s**2 - 2*s**3)*(-2*s + 5*s - 2*s) - 3367*s**4 - 10*s**2 + 66*s**2 + 3370*s**4.
s**4 + 56*s**2
Expand (4*f**2 - 2*f**2 - 5*f**2)*(6 + 0 + 182*f - 181*f).
-3*f**3 - 18*f**2
Expand -4*k**4 - 5*k**4 + 4*k**4 + (1 - 1 + 2*k)*(6*k**2 - 6*k**2 + 6*k**3) - 9 + 9 - k**4.
6*k**4
Expand -7*o**5 + 103*o**5 - 56*o**5 + (o**2 + 3*o**2 - 2*o**2)*(-3*o**3 - 2*o**3 + o**3) + (-5*o**4 + 3*o**4 + 4*o**4)*(1 - 1 + o).
34*o**5
Expand (-3 - 2 + 3)*(4 - 3 - 8)*(5*s - s + 0*s).
56*s
Expand (0*y + 0*y - 2*y)*(-22*y**2 - 18*y**2 - 3*y**2)*(-y**2 + 3*y**2 + y**2) - y**4 + y**4 - y**5.
257*y**5
Expand (-167*g + 167*g - 41*g**2)*(4*g + 0*g - 5*g + (-3 + 4 + 0)*(g + 0*g - 3*g) + 4*g - g - 5*g + g + 0 + 0 + 0*g - 4*g + 2*g) + 0 - 2 + 0 + g**3.
247*g**3 - 2
Expand (5*k + 1 - 1)*(8*k**2 - 12*k**2 + 7*k**2)*((0 + 2 - 1)*(0 + 2*k + 0) + 0 + k + 0).
45*k**4
Expand (-87*g - 61*g**2 + 87*g)*((3 - 3 + 4)*(-5 + 5 + 1) + (-1 - 1 + 3)*(-2 + 4 - 4) + 1 + 2 - 2).
-183*g**2
Expand (-2*z**2 + 0*z**2 + z**2 + (2 - 2 - 2*z)*(0*z + 0*z + z) + 3*z**2 - 4*z**2 + 0*z**2)*(-78*z + 91*z + 107*z).
-480*z**3
Expand 5 - 3*z**4 - 5 - 2*z**2 + 2*z**2 + z**4 + (z - z + 2*z**3)*(2*z + 3*z - 3*z) + 0*z**4 - 8*z**4 + 17*z**4.
11*z**4
Expand (-1 - 1 + 1)*((-h + 2*h - 2*h)*(-2 + 1 + 0) + 6 - 7*h - 6 - 18*h - 25*h + 32*h + 2).
17*h - 2
Expand 4*r**2 - 4*r**2 + r**2 + (6 + 6 - 10)*(3*r - 4*r**2 - 3*r) + 2*r**2 - 2*r**2 - 5*r**2.
-12*r**2
Expand 6*r**4 + 2*r**4 - 3*r**4 + 0*r**4 + 2*r**4 - 3*r**4 + 9 - 5*r**3 - 9 + 2*r**4 + (-4*r**3 - 2*r**3 - 4*r**3)*(-2*r - 3*r + 7*r).
-14*r**4 - 5*r**3
Expand (2*j**3 - 3*j**3 + 0*j**3)*(-3*j**2 + 5*j**2 - 4*j**2) + 3810*j**5 - 6612*j**5 + 3756*j**5.
956*j**5
Expand (202*q + 1 + 93*q + 48*q)*(q + 0*q - 3*q).
-686*q**2 - 2*q
Expand 0*t - t + 2*t + 12 - 3*t - 12 + (2 + 0 + 2)*(3*t - 2*t - 2*t).
-6*t
Expand (3 - 3 - 2*n)*(-2*n + 2*n + n**4) - 12*n**5 + n**5 - 183 + 12*n**5.
-n**5 - 183
Expand -t**4 + 0*t**4 + 3*t**4 + (0*t**2 - t**2 + 3*t**2)*(-2*t**2 + 2*t**2 + t**2) + (0*t + 0*t - t)*(-19*t**3 + 9*t**3 + 3*t**3).
11*t**4
Expand -2*h**4 - h**4 + 5*h**4 + (h + h - h)*(-3*h**3 + 0*h**3 + 4*h**3) + (2*h**3 + 0*h**3 - h**3)*(4*h + 2*h - 3*h).
6*h**4
Expand (110*z + 115*z - 68*z**2 - 225*z)*(6*z + 5*z - 19*z).
544*z**3
Expand 4*y**4 - 2*y**2 - 3*y**4 + 0*y**4 + (289*y - 289*y - 144*y**3)*(-4*y - 3*y + 5*y).
289*y**4 - 2*y**2
Expand (-2*b**2 + 0*b**2 + b**2)*(-1 - b + 1) - 93*b**3 - 23*b**2 + 21*b**2 + 58*b**3.
-34*b**3 - 2*b**2
Expand -2*h + 2*h**4 + 2*h + (-4*h**4 - 2*h**4 + 4*h**4)*(-2 + 1 + 2) + h**2 - h**2 + h**4 + h - h + h**4 + h**2 - h**2 + 2*h**4 + 36*h**4 - 98*h**4 + 41*h**4.
-17*h**4
Expand -d + d - 2*d + (5 - 1 - 2)*(-d + 2*d - 3*d) + 0*d - d + 3*d + 38*d - 19*d - 14*d.
d
Expand -3*a**3 - 397 + 11*a**3 + 393 + (3*a - 3*a - 2*a)*(1 - 1 + 2*a)*(-1 + 4 - 1)*(-a + 6*a - 3*a).
-8*a**3 - 4
Expand (4 + u**2 - 4)*(-233 + 233 + 65*u) + (5*u**2 - 3*u**2 + 2*u**2)*(0*u + u + u).
73*u**3
Expand ((10*b - 4*b + b)*(3 - 2 - 2) - 2*b + 5*b - 2*b)*(b**3 - b**3 - b**3).
6*b**4
Expand (-5*v**4 - 17*v + 17*v + (2*v - 2 + 2)*(-2*v**3 + v**3 + 2*v**3) - 3*v**4 + 7*v**4 - 3*v**4 + v**4 - 4*v**4 - 2*v**4)*(0 - 4 + 1).
21*v**4
Expand (16*f**3 + 178*f - 178*f)*((0*f + 2*f - 4*f)*(3*f + 0*f + 0*f) + 3*f**2 - 2*f**2 + f**2).
-64*f**5
Expand -2*o**5 + 0*o + 0*o + (2*o + o**4 - 2*o)*(3*o - 7 + 7) + ((1 - 2 - 1)*(-3 + 3 + 2*o) - 2*o + 0 + 0)*(o**4 - 1 + 1).
-5*o**5
Expand (-4 + 4 - 2)*(-j**2 - j**2 + 4*j**2) - 1 - 4*j + 11*j + 253*j**2 - 248*j**2.
j**2 + 7*j - 1
Expand (-a - a + 3*a)*(-2*a**2 + 0*a**2 + 3*a**2) + 58*a**3 + 216*a**2 - 216*a**2.
59*a**3
Expand (3*n**4 - 4*n**4 + 3*n**4 + (0*n**2 + 0*n**2 - n**2)*(0 + 0 - 2*n**2))*(121*n + 187*n - 72*n).
944*n**5
Expand (-4 + 3 - 1)*(-36 + 67 + 96*x - 34).
-192*x + 6
Expand 3*y - 4*y + 3*y**3 - y**3 + y**3 + 2 - 2 + (24 - 19 + 48)*(y**3 + 2*y**3 - 6*y**3).
-156*y**3 - y
Expand (0 + 8 - 2)*(7*p - 2*p - p)*(5 - 5 + 6).
144*p
Expand 2*y**2 + 4 - 3 + 2 + (3*y - y - y)*(46 - 46 + 14*y) + 4*y**2 - y + y.
20*y**2 + 3
Expand 0*m + 2*m**2 + 0*m + (m + m - m)*(0*m - 2*m + 3*m) + 40*m**2 - 67*m**2 + 34*m**2 + (-3*m + m + 3*m)*(-7 + 7 - 4*m).
6*m**2
Expand 0*v**2 + 3*v**2 - 6*v**2 - v**2 - 2*v**2 + 2*v**2 + (-5*v + v + 2*v)*(v + v - v) - 3*v**2 + v**2 + 3*v**2 - 151*v**2 - 39*v**2 - 57*v**2.
-252*v**2
Expand (-6*x + 2*x + 9*x)*(-8*x + x + 9*x) - 3*x**2 + 4*x**2 - 3*x**2.
8*x**2
Expand (2 + 3 - 2)*(-3 - 5 - 4)*(-2*k - k - 2*k).
180*k
Expand (4 + 12*y - 4)*(2*y**2 + y**3 - 2*y**2)*(-27 + 21 + 15 + 73).
984*y**4
Expand (-4*f**2 + 1 - 8 + 2)*(-6 + 1 + 4)*(2 - 3 - 6 + 0 - 4 + 2 + (1 + 1 - 1)*(0 - 2 + 3)).
-32*f**2 - 40
Expand -1 - 15*w**2 + 13*w**2 + 7*w**2 + (-2 - 2*w**2 + 2)*(3 - 2 + 2) + (0*w + 5*w - 2*w)*(2*w + 3*w - 4*w) + 0 + w**2 + 0.
3*w**2 - 1
Expand -6*l**2 + 8*l**2 + 13*l**2 + (6*l - 3*l - 4*l)*(4*l - 5*l + 6*l) + l**2 + 2*l - 2*l + 0*l**2 + l**2 + 2*l**2.
14*l**2
Expand (198*l - 193*l - 4 + 2)*(-l**2 - 3*l**2 + 2*l**2 + (l + 0*l + 0*l)*(-7 + 4*l + 7)).
10*l**3 - 4*l**2
Expand 7 - 7 - 11*x**4 + (x**3 - 3*x**3 + 3*x**3)*(1 - 1 - 2*x).
-13*x**4
Expand (5*c**3 - 2*c**3 - c**3)*(37 - 201 - 3)*(-2 - 4 + 5)*(-2*c - 2*c + 5*c).
334*c**4
Expand (y + 0*y - 1 - 1)*(-22*y - 11*y - 23*y).
-56*y**2 + 112*y
Expand ((1 - 2 + 3)*(7 - 7 - 6*q) + (-2*q + 0*q + 4*q)*(2 - 2 - 5))*(q + 3 - 3).
-22*q**2
Expand (-4 + 4 + 4)*(-3*s + 1 -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3*q - 20. Is -16 <= a?
True
Let u(s) = -117*s + 698. Let x be u(6). Which is greater: 94 or x?
94
Suppose 0 = 15*y - 13*y. Let p be -1 - (-2 - (0 - 3)). Let s be p + 3 - 2/(-10). Which is smaller: y or s?
y
Let x = 22.4 + -15.4. Which is greater: 10 or x?
10
Let h be 37738/(-7) - 1*-2. Let c = h - -5370. Let r = 1488/77 + c. Which is smaller: r or 1?
r
Let a = 577 + -656. Is -233/3 at least a?
True
Let n(w) = w**2 + 8*w - 2. Let d be n(-8). Is -1.1 bigger than d?
True
Let l be (-6 + 4 - 32)/2. Let h = l + 40. Let n = h - 21. Which is smaller: 8/3 or n?
n
Let p be 340/16 + (-133)/(-76). Is p < 14?
False
Suppose 72 = -0*i + 9*i. Suppose -12*w = -i*w. Is 0 > w?
False
Let h = -254.6 - -251.5. Is -1/11 less than h?
False
Let q = 0.9 - -0.1. Let j(h) = -2*h**2 + 39*h - 15. Let r be j(19). Is q at least r?
False
Let h(m) = m**2 + 10*m - 7. Let g be h(8). Do g and 134 have the same value?
False
Suppose 56*d - 22 = 78*d. Which is greater: d or -39/2?
d
Suppose -2*p - 8 = 5*r, 4*p = 3*p - 2*r - 3. Suppose 0 = -10*u + 11*u + p. Let y = -11 - -11.7. Do u and y have the same value?
False
Let m be 5*(-12)/(-280)*544/72. Is 3 less than or equal to m?
False
Let q = -87.4 + 88. Is -10/7 equal to q?
False
Let i(o) = o**3 + 27*o**2 + 24*o - 55. Let z be i(-26). Do z and 7 have the same value?
False
Suppose -4*m + 32 = -8. Let i be (-4)/m - 4/(-10). Let d = 317/2 - 159. Does i = d?
False
Suppose -196*v - 19*v - 6410 - 470 = 0. Let j = -0.1 - -1.1. Is v greater than j?
False
Suppose -i - 684 = -7*i. Let u be (0 + -3)*(6 + -3). Let h be 12/(-9)*u/i. Is h < 1?
True
Let p(t) = -t**3 - 4*t**2 - t - 2. Let d be p(-4). Suppose -2*f + 3*f + d = 0. Let r = 0 - f. Which is smaller: r or -7/2?
-7/2
Suppose o = -6*o + 70. Is o greater than or equal to 20?
False
Let q = 34 + -15. Let b = q - 17. Let v be (12/52)/(3/2). Which is bigger: b or v?
b
Let k be 1 + (-572)/(-517) + (-2)/1. Is -1 equal to k?
False
Suppose 20 = 5*o - 5*u, o + 522*u - 519*u = -8. Let s = 54800/53 - 1034. Which is smaller: s or o?
s
Let v = 27 - 22. Suppose 5 = v*h - 10*h. Which is smaller: h or -1/9?
h
Let j be 478 + 8 - -1*2. Let d be j/32 - (-1)/(-4). Let l be (-5)/d + (-28)/(-3). Which is greater: 23/3 or l?
l
Suppose -4*z + 16 = 0, -3*s + 22*z = 20*z + 317. Is s <= -98?
True
Let h be 83/(-5) + (-4)/10. Let m be (-32)/h - (-3 - -5). Suppose 0 = -5*x + 2*u - 5*u - 10, -20 = 4*u. Which is smaller: m or x?
m
Suppose 5*p - 6 = -4*n, n = -2*n + 3*p + 18. Let z be 2*(0 - 2/n). Let d be (((-70)/425)/(-7) - 0)*5. Are z and d nonequal?
True
Let f = -985 + 815. Is f at least as big as -170?
True
Let g(x) = x**2 - 3*x + 7. Let l be g(3). Suppose -60 = -2*v + l*v. Is -12 at most as big as v?
True
Let f = 111441/14 + -7954. Which is smaller: f or 5?
5
Suppose -2*o + s + 28 = -3*s, -4*s = 5*o. Suppose o*j = -19 - 53. Let n be j/63 - 33/7. Which is smaller: n or -4?
n
Suppose -2*g - r = 4*r + 5, -4*g - 4*r = -8. Suppose -g*x + x - 3*i = -17, -x - 1 = -i. Let a be x/5 + -3 + 3. Which is smaller: a or 3/10?
3/10
Let d(l) = -l**2 - 8*l - 5. Let a be d(-6). Suppose -5*i + 30 = 4*t, 4*i - 58 = -t - 67. Which is bigger: t or a?
t
Suppose 3*f + 230 = -2*f. Let l = -66 - f. Which is bigger: -37/2 or l?
-37/2
Let p = -29.6 + 3.4. Let o = -26 - p. Is -2 less than o?
True
Suppose 2*q + 62 = z + 3*z, 50 = 3*z + 2*q. Suppose -4*c - z = 0, -2*c + 4 = 3*k - 48. Are 21 and k equal?
False
Let t = 832 - 804. Let r = -34 + 8. Let l = r + t. Which is bigger: l or -0.3?
l
Let j = 684 + -697. Suppose 41 = -6*w + 2*w + 5*r, 4*w + 5*r = -71. Do w and j have the same value?
False
Let v = 279.9202 + 0.0798. Which is bigger: v or 0?
v
Suppose 32*o - 14 = 18. Is -11/52 < o?
True
Let a be (-4)/10 - (-54)/(-15). Let m be (a/12)/((-4)/(-12)). Suppose 3*w + 2 = 2*w. Is m smaller than w?
False
Let n = -0.749 - -0.7358. Is n bigger than 1?
False
Let f(c) = 34*c + 161. Let o be f(-7). Is -82 at most as big as o?
True
Let s be 3/(-56)*4*(-20)/6. Is 0.06 > s?
False
Suppose -5*z = 6 - 1. Let q = 1115 - 44597/40. Let b = q + -79/520. Which is smaller: b or z?
z
Suppose 24*k - 1086 - 1338 = 0. Do 103 and k have the same value?
False
Let w be 1 - (1 + -2 + (-246)/(-138)). Which is greater: w or 0?
w
Let h be (8/6)/((64/30)/8). Suppose 3*n - 5*x = 1 - 6, 4*n = h*x - 15. Which is smaller: -11 or n?
-11
Let r = 1393 + -1393.5. Do r and -0.016 have the same value?
False
Let z(n) be the third derivative of -n**6/120 + n**5/12 + n**4/4 + n**3/2 + 8*n**2. Suppose -2*u + 0 = -12. Let m be z(u). Do 3 and m have different values?
False
Let v = 47/95 + 2/19. Let c = 6.09 - 0.09. Let x = 7 - c. Is v >= x?
False
Suppose 5*j - 36 = -4*q, -3*q + j + 4 = -q. Suppose q*y + 26 = 2*g, -g + 12 = -0*y - 3*y. Which is smaller: 31/2 or g?
g
Suppose -4*c + 294 = -7*c. Are -98 and c non-equal?
False
Let g = -124 - -129. Suppose -24 - 6 = 2*i + g*p, 3*i + 2*p = -23. Is -21/5 greater than or equal to i?
True
Let w be (-18)/(-2) + (-1908)/106. Let n(t) = -t**2 - 5*t - 1. Let v be n(-6). Is v less than w?
False
Suppose 39 = -4*z + 15. Suppose 3*x - 2 = 4*r + 6, 8 = -4*r - 4*x. Let f be (-39)/65*r/(-3). Which is smaller: f or z?
z
Let r be (102/(-9))/(-2 + 20/9). Let m be (r/3)/(1 - (-4)/(-3)). Which is smaller: m or 52?
m
Suppose -4*v + 4*s - 11 + 59 = 0, v = -2*s + 12. Let l(g) = 2*g**2 - 2*g**2 - g**2 + 15*g - 10 - 8. Let d be l(v). Is d >= 18?
True
Let i be ((-3829)/(-126))/(3/(-9)). Let z = -271/3 - i. Which is smaller: 2 or z?
z
Suppose -3*q = 9, q = -c - 0*q - 9. Let i be -1 + -1 + (0 - c). Let a be i + 27/(-7) + 3. Which is bigger: 4 or a?
4
Let s = -51944 + 570448/11. Let d = 85 + s. Let a = 4 - 3. Is d smaller than a?
True
Let d(s) = -s**3 - 8*s**2 + 8*s. Let a be d(-9). Suppose -6*g - a = -3*g. Is g greater than -1?
False
Suppose -2034 = -20*w + 4106. Which is smaller: w or 1227/4?
1227/4
Suppose -31*v = -t - 25*v + 25, 3*v = 4*t + 5. Let u = 453373/93165 - -2/6211. Let n = -26/5 + u. Is n greater than t?
True
Let j = -1671 - -1742. Which is greater: 73 or j?
73
Let l = 8 + -13. Let r be (-4)/l - (-2760)/(-700). Is r > -3?
False
Let a = 9 + -13. Let c be (-274)/18 + a/(-18). Which is smaller: -16 or c?
-16
Let w = -620 - -615. Are w and -4 unequal?
True
Let b be (8/((-8160)/115))/((-2)/8). Which is smaller: b or 1?
b
Let z be (2323/30)/((168/243)/(-7)). Let f = z + 784. Which is bigger: f or -1?
f
Let w be (-14)/(-21) + 11/(-12). Let k = 238 - 254. Which is greater: k or w?
w
Let m = 5949 - 35867/6. Let v = m + 29. Does v = -0.05?
False
Let l be (48/(-2))/(6/(-33)). Is 130 less than l?
True
Let h = -17 + 17.08. Let b = h - 0.18. Let q = 0.03 - -0.05. Are b and q non-equal?
True
Let y = 417 + -159. Which is smaller: 259 or y?
y
Let d = 7457/5880 - 51/40. Let b = 15 - 15. Which is smaller: b or d?
d
Let a be (50 - (-3 + 6))*4/(-132). Let z = 12/11 + a. Is -5.7 >= z?
False
Let b = -2.083 + 3.164. Let j = b - 0.081. Which is greater: j or 42?
42
Suppose c + 2*c = u + 32, -4*u + 4*c = 152. Let k be -187 + 139 - (33/(-3) + 2). Is k less than u?
False
Let m be (-1778)/24 - (1 + (-20)/16). Let b = -74 - m. Is b equal to -10?
False
Let s be 8/(-7)*(-52)/16. Let l be ((-2)/(-3))/((-28)/(-126)). Which is greater: s or l?
s
Let s be (12/(-1503))/(76/(-342)). Which is greater: 1 or s?
1
Let a be (-3)/(-5) - (-322)/(-70). Let r(o) = 5*o + 1. Let t(f) = 5*f + 1. Let y(c) = 5*r(c) - 4*t(c). Let w be y(-1). Is a < w?
False
Suppose -13*o + 858 = 2574. Is -130 less than or equal to o?
False
Let x = -389 - -390. Which is greater: 3/7 or x?
x
Let m = -398 - -471. Which is bigger: m or 77?
77
Suppose 2*n = -3*x, 0*n + n + 2*x = 0. Let y = n + 3. Let d(l) = -l**3 + 4*l**2 - 4*l - 1. Let f be d(y). Which is smaller: f or -6?
-6
Let w = 0.023 - 0.073. Let h = -1.05 - w. Is 2/49 <= h?
False
Let q be (-2)/(-3)*54/18. Let y be (q + -7 - -4)/(-1). Is y greater than 2?
False
Suppose 0 = 4*b + 5 - 25, 0 = 2*z - b + 97. Let u be 2336/18 + z/(-207). Let w be (-20)/u*(-6)/4. Which is greater: 0 or w?
w
Let x(n) = -14*n + 9*n**2 - 2*n**2 + 3 - 5*n**2 + 4. Let c be x(8). Is 21 at least as big as c?
False
Suppose 765 = 4*n - 3*k, 2*n + 3*k = -k + 388. Suppose -2*q = 139 + 69. Let t be -3 + 1 - n/q. Which is greater: t or -1?
t
Let d be 1 + 10/78 + 2. Let s = -7/13 - d. Suppose 10 = 5*t, 0 = 3*v + t + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
0 for o.
-22, 0
Find f such that 3*f**2/4 + 477*f/2 + 75843/4 = 0.
-159
Determine g, given that 5*g**2 - 15*g - 440 = 0.
-8, 11
Factor s**3 + 4*s**2 - 41*s + 36.
(s - 4)*(s - 1)*(s + 9)
Suppose 9*l**5 + 30*l**4 + 27*l**3 + 6*l**2 = 0. What is l?
-2, -1, -1/3, 0
Factor -2*w**2/3 - 712*w/3.
-2*w*(w + 356)/3
Factor 5*s**2 + 80*s + 140.
5*(s + 2)*(s + 14)
Suppose -d**2 + 23*d - 22 = 0. Calculate d.
1, 22
Suppose -2*x**2/11 - 164*x/11 - 70 = 0. What is x?
-77, -5
Determine h so that 2*h**2 - 32*h - 160 = 0.
-4, 20
Determine y, given that y**5/11 - 24*y**4/11 + 2*y**3 + 24*y**2/11 - 23*y/11 = 0.
-1, 0, 1, 23
Factor 2*u**4/13 + 2*u**3 + 112*u**2/13 + 160*u/13.
2*u*(u + 4)**2*(u + 5)/13
Determine n, given that -3*n**3 + 3*n**2 + 6*n = 0.
-1, 0, 2
Solve -20*q**2/7 - 748*q/7 - 296/7 = 0.
-37, -2/5
Determine o, given that 2*o**5/5 - 2*o**4 - 6*o**3/5 + 26*o**2/5 + 4*o = 0.
-1, 0, 2, 5
Find g such that -2*g**2 - 452*g - 25538 = 0.
-113
Determine u so that u**2/3 + 39*u + 230/3 = 0.
-115, -2
Factor -3*o**4 - 24*o**3 + 57*o**2 - 30*o.
-3*o*(o - 1)**2*(o + 10)
Factor -4*h**4 + 36*h**3 + 40*h**2.
-4*h**2*(h - 10)*(h + 1)
Factor 25*u**2 + 1070*u - 2240.
5*(u - 2)*(5*u + 224)
Suppose -2*x**2 + 242*x - 476 = 0. What is x?
2, 119
Factor -z**2/6 + 191*z/3 - 127/2.
-(z - 381)*(z - 1)/6
Factor 2*d**2 - 62*d.
2*d*(d - 31)
Factor -4*s**5 + 224*s**4 - 220*s**3.
-4*s**3*(s - 55)*(s - 1)
Factor u**3 + 63*u**2 - 268*u.
u*(u - 4)*(u + 67)
Determine o, given that -4394*o**5 - 49686*o**4 - 195520*o**3 - 262400*o**2 + 1536000*o/13 + 5120000/13 = 0.
-40/13, 1
Solve -21*v**4 - 255*v**3/4 - 69*v**2 - 123*v/4 - 9/2 = 0.
-1, -3/4, -2/7
Factor c**4/4 - 9*c**3 + 61*c**2 + 360*c + 400.
(c - 20)**2*(c + 2)**2/4
Suppose 39366*b**5 + 227448*b**4 + 484704*b**3 + 453152*b**2 + 157216*b = 0. Calculate b.
-2, -34/27, 0
Suppose 5*f**3 - 130*f**2 + 755*f - 630 = 0. Calculate f.
1, 7, 18
Factor -2*y**3/19 - 2*y**2 - 238*y/19 - 490/19.
-2*(y + 5)*(y + 7)**2/19
Let -w**4/2 - 7*w**3/2 + 30*w**2 = 0. What is w?
-12, 0, 5
Solve q**3/4 - 2565*q**2/4 + 1643523*q/4 + 1646089/4 = 0 for q.
-1, 1283
Find k such that -2*k**2/7 - 254*k/7 - 36 = 0.
-126, -1
Factor -i**4/2 + 51*i**3/2 - 673*i**2/2 + 525*i/2 + 625.
-(i - 25)**2*(i - 2)*(i + 1)/2
Determine f so that 2*f**5 + 5*f**4 - f**3 - 7*f**2 - f + 2 = 0.
-2, -1, 1/2, 1
Find m such that -50*m**5 - 460*m**4 - 1104*m**3 - 4576*m**2/5 - 1568*m/5 - 192/5 = 0.
-6, -2, -2/5
Find p such that 3*p**2 - 618*p - 621 = 0.
-1, 207
Factor 3*z**2/4 - 231*z/2 + 228.
3*(z - 152)*(z - 2)/4
Let 2*k**5 - 16*k**3 + 12*k**2 + 14*k - 12 = 0. What is k?
-3, -1, 1, 2
Factor -2*b**3 + 224*b**2 - 442*b + 220.
-2*(b - 110)*(b - 1)**2
Suppose w**2/3 + 4*w + 20/3 = 0. Calculate w.
-10, -2
Determine t, given that -3*t**3/2 + 979*t**2/2 - 80033*t/2 + 26569/2 = 0.
1/3, 163
Determine z so that -4*z**5 + 340*z**4/3 + 592*z**3/3 + 80*z**2 = 0.
-1, -2/3, 0, 30
Factor -b**5 + 2*b**4 + 3*b**3.
-b**3*(b - 3)*(b + 1)
Determine h so that -h**4/5 + 2*h**3/5 + h**2 - 6*h/5 = 0.
-2, 0, 1, 3
Solve c**3/4 + 5*c**2/2 + 6*c = 0.
-6, -4, 0
Solve -4*p**2/5 - 28*p/5 - 8 = 0.
-5, -2
Factor -d**2/4 + 12*d + 52.
-(d - 52)*(d + 4)/4
Solve -h**4 + 34*h**3 - 260*h**2 + 14*h + 3381 = 0 for h.
-3, 7, 23
Factor -4*v**3 - 48*v**2 - 36*v + 88.
-4*(v - 1)*(v + 2)*(v + 11)
Let -3*p**3 + 111*p**2 + 234*p = 0. What is p?
-2, 0, 39
Factor -4*k**4/7 - 128*k**3/7 - 1320*k**2/7 - 3872*k/7 + 5324/7.
-4*(k - 1)*(k + 11)**3/7
Find x such that 4*x**2/7 - 80*x = 0.
0, 140
Determine r so that 4*r**4 + 16*r**3 + 16*r**2 = 0.
-2, 0
What is t in t**3 - 166*t**2 + 5580*t + 113400 = 0?
-14, 90
Factor 6*h**2/11 - 168*h/11 + 102.
6*(h - 17)*(h - 11)/11
Factor t**4 - 27*t**3 - 58*t**2.
t**2*(t - 29)*(t + 2)
Factor 2*q**2/9 + 68*q + 5202.
2*(q + 153)**2/9
What is i in -i**2 - 39*i + 82 = 0?
-41, 2
Factor -2*b**2/3 - 310*b/3 + 316.
-2*(b - 3)*(b + 158)/3
Factor 3*r**3/2 - 1677*r**2 + 470394*r - 934092.
3*(r - 558)**2*(r - 2)/2
Let -j**5/7 - 8*j**4/7 - 22*j**3/7 - 24*j**2/7 - 9*j/7 = 0. Calculate j.
-3, -1, 0
Solve -3*c**3 + 105*c**2/4 + 23547*c/4 + 1470 = 0 for c.
-40, -1/4, 49
Factor 18*c**4 + 213*c**3 + 612*c**2 - 108*c.
3*c*(c + 6)**2*(6*c - 1)
Solve -2*g**2/7 - 16*g/7 = 0.
-8, 0
Factor -o**3/2 - 3*o**2/2.
-o**2*(o + 3)/2
Determine s, given that -s**5 + 5*s**4 - 7*s**3 - s**2 + 8*s - 4 = 0.
-1, 1, 2
Suppose -2*l**2/7 - 80*l/7 = 0. Calculate l.
-40, 0
Factor 2*i**3/3 + 44*i**2 + 250*i/3 - 128.
2*(i - 1)*(i + 3)*(i + 64)/3
What is l in 15*l**5 + 215*l**4 + 805*l**3 + 245*l**2 = 0?
-7, -1/3, 0
What is w in -w**5/6 - w**4/6 + w**3 + 2*w**2/3 - 4*w/3 = 0?
-2, 0, 1, 2
Solve -2*k**3/5 - 2*k**2 + 8*k/5 + 8 = 0 for k.
-5, -2, 2
Find p such that -54*p**3/5 - 264*p**2/5 - 608*p/15 - 128/15 = 0.
-4, -4/9
Solve 54*y**5/5 + 648*y**4/5 + 1584*y**3/5 - 2036*y**2/5 + 146*y - 84/5 = 0 for y.
-7, -6, 1/3
Let -5*w**3 + 175*w**2 + 180*w = 0. What is w?
-1, 0, 36
Factor -2*x**3 - 242*x**2 + 1506*x - 2286.
-2*(x - 3)**2*(x + 127)
Factor -8*z**3/7 + 2*z**2 + 48*z/7 - 54/7.
-2*(z - 3)*(z - 1)*(4*z + 9)/7
Determine z, given that -2*z**5/3 - 106*z**4 + 1634*z**3/3 - 334*z**2 - 984*z = 0.
-164, -1, 0, 3
Solve k**4/9 - 5*k**3/9 - 781*k**2/9 - 775*k/9 = 0.
-25, -1, 0, 31
Suppose z**2/6 + 73*z/6 - 37/3 = 0. Calculate z.
-74, 1
Find g such that -3*g**4/5 - 108*g**3/5 - 483*g**2/5 - 558*g/5 = 0.
-31, -3, -2, 0
Factor 3*d**3/8 + 57*d**2/8 - 447*d/2 + 216.
3*(d - 16)*(d - 1)*(d + 36)/8
Factor 5*f**4 - 130*f**3 - 5*f**2 + 130*f.
5*f*(f - 26)*(f - 1)*(f + 1)
Determine t, given that t**2/4 + 163*t/2 + 162 = 0.
-324, -2
Factor r**3 - 16*r**2 + 13*r + 30.
(r - 15)*(r - 2)*(r + 1)
Factor -b**2/8 + 6*b.
-b*(b - 48)/8
Factor 2*j**3/7 - 28*j**2 + 5336*j/7 - 25392/7.
2*(j - 46)**2*(j - 6)/7
Find j, given that j**5/4 + 3*j**4 + 21*j**3/2 + 13*j**2 + 21*j/4 = 0.
-7, -3, -1, 0
Find t such that 361*t**3/10 + 418*t**2/5 + 242*t/5 = 0.
-22/19, 0
Factor -3*q**2 + 78*q - 432.
-3*(q - 18)*(q - 8)
Solve 3*g**5/5 - 51*g**4/5 + 9*g**3 + 51*g**2/5 - 48*g/5 = 0.
-1, 0, 1, 16
Suppose -2*w**4 + 464*w**3 - 1380*w**2 + 1376*w - 458 = 0. Calculate w.
1, 229
Factor 2*k**2 + 15*k/4 + 7/4.
(k + 1)*(8*k + 7)/4
Solve -20*y**3 + 216*y**2 + 284*y + 48 = 0 for y.
-1, -1/5, 12
Factor 5*u**2 - 165*u.
5*u*(u - 33)
Let 2*c**4 + 86*c**3 + 660*c**2 = 0. What is c?
-33, -10, 0
Solve 4*n**2/7 - 3356*n/7 + 3352/7 = 0 for n.
1, 838
Factor -4*t**3/3 - 764*t**2 - 760*t + 4576/3.
-4*(t - 1)*(t + 2)*(t + 572)/3
Factor l**4/4 - 289*l**3/4 - 1463*l**2/4 - 2055*l/4 - 441/2.
(l - 294)*(l + 1)**2*(l + 3)/4
Factor -4*r**5 + 14*r**4 - 8*r**3 - 8*r**2.
-2*r**2*(r - 2)**2*(2*r + 1)
Factor -5*t**5 + 5*t**4 + 55*t**3 - 145*t**2 + 130*t - 40.
-5*(t - 2)*(t - 1)**3*(t + 4)
Solve 2*x**2/9 + 14*x/3 - 44/9 = 0.
-22, 1
Factor 16*j**3/5 - 52*j**2 - 512*j/5 + 144/5.
4*(j - 18)*(j + 2)*(4*j - 1)/5
Factor 3*v**2 + 15*v - 312.
3*(v - 8)*(v + 13)
Factor -4*a**4 + 4976*a**3 - 9940*a**2 + 4968*a.
-4*a*(a - 1242)*(a - 1)**2
Solve 3*y**2 + 22704*y + 42955968 = 0 for y.
-3784
Let 14*p**4/5 - 174*p**3/5 + 366*p**2/5 - 266*p/5 + 12 = 0. What is p?
3/7, 1, 10
Let 2*v**4/3 - 52*v**3/3 + 280*v**2/3 + 784*v/3 = 0. Calculate v.
-2, 0, 14
Let 12*t**5 + 28*t**4 - 156*t**3 + 52*t**2 + 144*t - 80 = 0. Calculate t.
-5, -1, 2/3, 1, 2
Let -4*n**2 + 132*n + 136 = 0. Calculate n.
-1, 34
Find n, given that 2*n**5/9 - 26*n**4/9 + 38*n**3/9 + 74*n**2/9 - 80*n/9 - 88/9 = 0.
-1, 2, 11
Find z, given that -2*z**2 - 5524*z - 5522 = 0.
-2761, -1
Factor -2*s**5/15 + 6*s**4/5 + 92*s**3/15 + 148*s**2/15 + 34*s/5 + 26/15.
-2*(s - 13)*(s + 1)**4/15
Factor -5*l**2 - 360*l - 1980.
-5*(l + 6)*(l + 66)
Let -2*x**5/9 + 38*x**4/9 - 94*x**3/9 - 38*x**2/9 + 32*x/3 = 0. Calculate x.
-1, 0, 1, 3, 16
Find m, given that m**2 + 51*m = 0.
-51, 0
Let 4*q**3 - 144*q**2 + 276*q - 136 = 0. Calculate q.
1, 34
Factor -i**2 + 160*i - 316.
-(i - 158)*(i - 2)
Factor 4*l**2/3 - 316*l/3.
4*l*(l - 79)/3
Factor b**2/4 - 27*b/4 + 18.
(b - 24)*(b - 3)/4
Solve -3*o**3/5 - 3*o**2 + 39*o/5 - 21/5 = 0 for o.
-7, 1
Determine r, given that 2*r**2/13 + 5160*r/13 + 3328200/13 = 0.
-1290
Find j, given that j**4/10 + 114*j**3/5 + 6611*j**2/5 + 12882*j/5 + 12769/10 = 0.
-113, -1
Let 5*t**4 - 60*t**3 + 215*t**2 - 120*t - 400 = 0. Calculate t.
-1, 4, 5
Find h, given that 10*h**4/17 + 86*h**3/17 + 44*h**2/17 - 32*h/
|
{
"pile_set_name": "DM Mathematics"
}
|
-d + 5*c + 28, -3*d + 9 = -5*d - 3*c. Let g(v) = v**2 - d*v + 2*v**3 - 11 - v**3 + 24 + 2*v. What is g(0)?
13
Let c = 114 - 114. Let v(k) = -2*k + c - k - 1 - k. Give v(2).
-9
Let t(h) be the third derivative of h**5/60 - h**4/6 - 7*h**3/6 + 4*h**2 + 1. Let d be 9 + 8/(-2) + 1. What is t(d)?
5
Suppose y = g + 1, -5*y + 3*y = 0. Let k(s) be the second derivative of -11*s**4/12 + s. Give k(g).
-11
Let w(o) = o**2 - 11*o - 7. Let k(r) = -5*r + 230. Let a be k(44). What is w(a)?
-17
Let o(u) = -u**2 - u - 9. Let j = 524 - 524. Give o(j).
-9
Suppose -2*l + g + g = 0, -3*l = 4*g - 14. Let d(h) = -5*h + 10. Let r(p) = -6*p + 13. Let w(o) = -4*d(o) + 3*r(o). Calculate w(l).
3
Let i(c) = -c**2 - c + 4. Let y(g) = 3*g**2 - 6*g + 10. Let k(s) = 2*i(s) - y(s). What is k(2)?
-14
Let g(f) be the second derivative of 4/3*f**3 - f - 1/20*f**5 + 0 + 9/2*f**2 - 5/12*f**4. Calculate g(-6).
-3
Let l(m) be the third derivative of m**5/60 + 13*m**4/24 - 3*m**3/2 + 107*m**2. What is l(-14)?
5
Let o(k) = 7*k**2 + 6 - k**2 + 3*k + 1 + k**3. Suppose -3*a = 2 - 2. Suppose -5*c - 33 = 3*d, a*d = 5*d - 4*c + 18. Calculate o(d).
-11
Let s(d) = -5*d - 16. Let p(x) = 15*x + 47. Let i(l) = -6*p(l) - 17*s(l). Let m(t) = t. Let k(q) = i(q) + 6*m(q). Calculate k(5).
-5
Let b be (-2)/11 + (-8)/(-44). Let w(j) be the second derivative of j**3/6 - 3*j**2 - 131*j + 1. Determine w(b).
-6
Let u(q) = -2*q**3 + 13*q**2 - 28*q + 7. Let v(g) = g**3 - 9*g**2 + 20*g - 5. Let l(n) = -5*u(n) - 7*v(n). Calculate l(-2).
-32
Suppose -27*s = -23*s - 8. Let w(p) = -s + 2 - 2*p - p**2 + 2 + 3. Give w(-4).
-3
Let h(g) = g**3 - 6*g**2 + 7*g - 14. Suppose 10*c + 10 = 12*c. Determine h(c).
-4
Let h be -16 - -24 - 1*4. Suppose h*d = 2*d + 10. Let a(f) = f**3 - 4*f**2 - 6*f - 3. Give a(d).
-8
Let d(j) = j**3 - 16*j**2 - 13. Suppose -22*m + 96 = -16*m. Calculate d(m).
-13
Let g(s) = s**3 + 2*s**2 + s + 2. Let v(b) = b**2 + 18*b + 11. Let d be v(-18). Suppose -2*j + 14 = 3*c + c, -4*c = -2*j + 22. Suppose l - j = -d. What is g(l)?
0
Let u(o) = -1059 + 486 + 482 + 0*o - 6*o. Give u(-15).
-1
Let f(i) = 1 + 2*i + 3 + 636*i**2 + 0*i - 3 - 623*i**2. Determine f(-1).
12
Let k(t) = -t + 45. Let h be k(43). Let b(q) = 2*q - 2. Calculate b(h).
2
Let s = 156 + -149. Suppose -a - 6 = -3*a. Let u(l) = -a + l + 4*l - 6*l + 10. Give u(s).
0
Let n be -6 - (-26 - -15) - 0. Let k(s) = 4 - 2*s**2 - 2*s**3 + 3*s**3 + 4*s + s - 4*s**2. What is k(n)?
4
Let a(m) = 7*m**3 + m**2 - 9*m - 1. Let y(u) = -11*u**3 - u**2 + 13*u + 2. Let v(h) = 8*a(h) + 5*y(h). What is v(-5)?
-13
Let n(s) = 3*s**2 - 2*s - 7. Let z(l) = -4*l**2 + l + 8. Let y(a) = 3*n(a) + 2*z(a). Let p(x) = -x - 1. Let u(r) = -2*p(r) + y(r). Give u(5).
12
Let h(f) = 5*f**2 - f**2 - 4*f**2 + 2*f**3 - 3*f**2 + 5*f**2 + 2. Calculate h(-2).
-6
Let o(p) be the third derivative of -p**6/120 - 7*p**5/30 - p**4/2 + 7*p**3/2 + 70*p**2 - 2*p. Determine o(-13).
8
Let t = 677 + -671. Let w(f) = -f**3 + 8*f**2 - 8*f - 6. Determine w(t).
18
Let q(a) = -a**2 - 4*a - 1. Let n(b) = -b**2 + 16*b - 6. Let r be n(15). Suppose 6*j = r - 33. Give q(j).
-1
Let v = -503 - -501. Let r(j) = 2*j - 1. What is r(v)?
-5
Let p(m) = -5*m - 11. Let n be 1/2*60/(-6). Let b = n - -2. Let t(o) = 2*o + 4. Let f(i) = b*p(i) - 8*t(i). Calculate f(5).
-4
Let o(n) be the second derivative of 0 + 5*n + 0*n**2 + 1/6*n**3. Give o(0).
0
Let s be ((-6)/5)/(2/10). Let a(u) be the first derivative of 5*u - 15 + 7/2*u**2 + 1/3*u**3. Determine a(s).
-1
Let i be (-4)/6 - 78/(-9). Let u be ((-20)/i - -2)*4. Let q be -1 + u - 0/(-6). Let z(n) = n + 4. What is z(q)?
1
Let g be ((-43)/2)/((-3)/(-6)*-1). Let m(q) = -g*q**2 - 12*q + 42*q**2 + q - 12. Calculate m(-9).
6
Let s(i) = 4 - 6 - 1 + 3*i. Let y(h) = h - 1. Let u(q) = 2*s(q) - 7*y(q). Suppose 3*f = -16 + 4. Calculate u(f).
5
Let t(r) = -14*r + r**2 + 17*r - 4*r. What is t(4)?
12
Let f = -67 - -49. Let b be ((-6)/(-9))/((-3)/f). Let n(a) = a**3 - 6*a**2 + 6*a - 2. What is n(b)?
-10
Let m(j) = -j**2 - 7*j + 9. Suppose i = 4*c + 24 + 5, 2*c - 4*i = -18. What is m(c)?
9
Let f = 215 - 358. Let t = 136 + f. Let b(n) = -2*n - 7. Calculate b(t).
7
Let q(j) be the third derivative of j**7/840 + j**6/180 + j**4/6 + j**3/3 + 21*j**2. Let w(h) be the first derivative of q(h). Give w(-3).
-5
Let l(m) = 13*m**2 - 21*m**2 - 2*m + 11*m**2 + 1. Let n be l(1). Let t(p) = 6 + p**2 - p**2 + 6*p - p**n. Calculate t(5).
11
Suppose -w - 17 = -3*p, -5*p + 4 = 3*w - 1. Let n be (2/4)/((10/4)/w). Let u(y) = -2*y**3 + y + 1. Calculate u(n).
2
Suppose 5*q + 61 = -5*j - 4, -j - 11 = 2*q. Let d(g) = g**3 + 17*g**2 + 32*g + 35. Calculate d(j).
5
Let n(h) = 2 - 4*h + 2*h - 6 + 0*h. Let q(c) = -5*c**2 - 32*c - 31. Let a be q(-1). Give n(a).
4
Let t(l) = -31*l**2 - 1 - 55*l + 30*l**2 + 61*l. Let n = 9 + -3. What is t(n)?
-1
Let b be 6/(-5)*(-140)/(-21). Let h = b + 9. Let o(k) = 0*k + 2*k**2 + k**3 - 7*k**2 + k - h. Calculate o(5).
4
Suppose -w + 2*w = 14. Suppose -t + w = t. Suppose -g - q - t = 4*g, -2*q = -g - 8. Let k(s) = -s**3 - 4*s**2 - 3*s - 1. Determine k(g).
-3
Let t(p) = 5*p**2 - 2*p + 1. Suppose -7*b = -11*b - 240. Let d = 62 + b. Calculate t(d).
17
Let g(x) be the third derivative of x**5/60 + 5*x**4/24 + 7*x**3/6 + 68*x**2 + 2. Give g(-3).
1
Suppose 12*g - 140 = -68. Let a(m) = m**3 - 8*m**2 + 10*m - 8. What is a(g)?
-20
Let z(n) = 4*n**2 + 23*n + 15. Let c be z(-5). Let b(h) be the first derivative of 1/2*h**2 + c*h - 4/3*h**3 - 5. Calculate b(1).
-3
Suppose -25 = 5*p, -62 = -3*a - p - 4*p. Suppose 2*y = -5*b - a, -5*b + 3*y - 33 = -14. Let c(h) = h**2 - 5. Calculate c(b).
20
Let y(c) = -3 + 1 + 4*c + c - c**2 + 1. Suppose -3*i - 7 = -4*i + j, 0 = -2*i - 2*j + 2. What is y(i)?
3
Let z(r) = r**2 + 2*r - 3. Let s(l) be the third derivative of l**5/60 - 3*l**4/8 + 2*l**3/3 - 11*l**2. Let k be s(8). Give z(k).
5
Let h be (3/4)/((-21)/(-56)). Suppose 3*g - p = 15, 0 = -2*g - p - h*p - 1. Let b(v) = -v**3 + 4*v**2 - 2*v + 5. Determine b(g).
-3
Let j(d) = -d**3 + 4*d**2 + 6*d - 3. Let c be j(5). Suppose -c*g = 2*g + 20. Let n(w) be the first derivative of -w**2/2 - 4*w - 5. Give n(g).
1
Let p(r) be the third derivative of -r**5/60 - r**4/8 - r**3/2 + 30*r**2. Suppose -10 = 2*c - 0*c. Calculate p(c).
-13
Let b(g) be the first derivative of -7*g**3/3 + g**2/2 - 220. Give b(1).
-6
Let r(u) = -7*u**3 - 14*u**2 - 2*u - 9. Let t(a) = -13*a**3 - 27*a**2 - 5*a - 17. Let s(f) = -11*r(f) + 6*t(f). Determine s(-7).
4
Let i(f) = f**2 + 5*f - 11. Let u(y) = y**2 + 8*y - 17. Let a(c) = 8*i(c) - 5*u(c). Let d(p) = 10*p**2 - 8. Let l(n) = 11*a(n) - 4*d(n). What is l(-1)?
-8
Let x(c) = 155*c**2 - c**3 + 0*c**3 + 0*c - 7*c - 1 - 163*c**2. Calculate x(-7).
-1
Let r(y) = y**3 + 7*y**2 + 4*y - 12. Suppose 3*w - 33 = 4*n, -2*n + 227*w = 230*w + 3. Give r(n).
0
Let l(r) = 6*r - 2. Let h(d) = 6*d - 3. Let z(i) = -3*h(i) + 4*l(i). Let k be 1 - 3 - 6/(-3). Suppose k = -6*u + 11*u + 5. Determine z(u).
-5
Let h(n) = -n**3 + 8*n**2 + 3*n + 2. Suppose 0 = -2*t + 2, t - 118 = 4*f - 149. Determine h(f).
26
Let j be (-90)/(-11) - 14/77. Suppose j*r + 20 = 13*r. Let p(h) = -h**2 + h + 4. What is p(r)?
-8
Let c = 1 - 7. Let q(x) = -7*x**2 - 7*x. Let v(o) = -13*o**2 - 14*o. Let b be ((-27)/(-12))/(9/(-24)). Let y(i) = b*v(i) + 11*q(i). Give y(c).
-6
Let o(t) = t + 1. Let a(m) be the second derivative of m**3/2 - 5*m**2/2 - 5*m. Let b(d) = -a(d) + 2*o(d). What is b(9)?
-2
Let b(u) = 94*u - 281. Let l be b(3). Let p(i) = 2*i + 1. Let h(w) = w. Let n(d) = 4*h(d) - p(d). Calculate n(l).
1
Let f = -5 - 1. Let y(d) be the third derivative of 0 + 9*d**2 + 1/10*d**5 - 4/3*d**3 + 1/120*d**6 + 0*d + 0*d**4. Calculate y(f).
-8
Let f(n) = -2*n - 12. Let s be f(-6). Let w(l) be the second derivative of -l**5/20 + l**4/12 - 11*l**2/2 - 5*l + 7. Calculate w(s).
-11
Let j(p) be the third derivative of -p**7/840 + p**6/72 + 3*p**5/40 - p**4/3 + 10*p**3 - 7*p**2 - p. Let t(d) be the first derivative of j(d). Determine t(6).
10
Let d(k) = -2*k**2 + 21*k - 8. Let w be d(10). Suppose m = u - 6, -23 = w*u + 6*m - m. Let v(r) = 9*r - 1. Determine v(u).
8
Let o(a) = 7*a - 46. Let r be o(6). Let d(f) = -f**2 - 4*f. Give d(r).
0
Suppose -3*b - 11*b - 14 = 0. Let i(y) = -y + 1. Let t(w) = -w + 1. Let u(p) = 5*p - 8. Let v(q) = 3*t(q) + u(q). Let z(k
|
{
"pile_set_name": "DM Mathematics"
}
|
second derivative of 7371654*k**4 + 93027*k wrt k?
88459848*k**2
What is the third derivative of -2*c*s**3 + c*s**2 - 223031*c - 9422252*s**3 + 1 wrt s?
-12*c - 56533512
What is the derivative of 5542*f*j*v - 3517*f*j - 71980*j*v - 55*j - v + 1 wrt f?
5542*j*v - 3517*j
Find the second derivative of -11639994*h**2 + 12381809*h.
-23279988
What is the second derivative of -464570039*q**3 + 532215738*q wrt q?
-2787420234*q
Find the first derivative of -2112*h**3 + 351*h*o**2 - 3*h*o + 22449231*o**2 wrt h.
-6336*h**2 + 351*o**2 - 3*o
Differentiate -10900562*t**4 - 3*t**3 - t + 232938905.
-43602248*t**3 - 9*t**2 - 1
Find the second derivative of 8900453*x**2 - 1352571*x.
17800906
What is the second derivative of 171*q**4*w + 89*q**3 + 93*q**2*w - 4*q*w - 2*q - 893*w - 351 wrt q?
2052*q**2*w + 534*q + 186*w
What is the second derivative of -16361756*n**2 + 12830490*n wrt n?
-32723512
Differentiate 102866067*p**2 + 990187224.
205732134*p
What is the third derivative of 1327373348*z**3 - 209509805*z**2 + 3*z?
7964240088
What is the first derivative of 510477618*b**3*m - 3954*b**3 + 1275*b**2 wrt m?
510477618*b**3
Differentiate 6646465*i*o + 11096465*o with respect to i.
6646465*o
Differentiate -3477*r**3 - 77*r**2 + 3227486 with respect to r.
-10431*r**2 - 154*r
Differentiate 9004851*r**4 - 12993151 wrt r.
36019404*r**3
What is the first derivative of 20*a*k*t**2 + 77138*a*k*t + 2*a*t**2 - k*t**2 - 5*k + 4053*t**2 + 11*t wrt a?
20*k*t**2 + 77138*k*t + 2*t**2
Find the first derivative of -3*o*t**3 - 2515460*o*t + 7*t**3 - 7870246*t**2 wrt o.
-3*t**3 - 2515460*t
Find the second derivative of -20268192*u**2*w - 2*u*w - 197*u - w + 16604 wrt u.
-40536384*w
What is the derivative of -460151553*j*o**2 - 397263*o**2 + 254*o wrt j?
-460151553*o**2
What is the derivative of 10599430*b*x**2 + 1661*x**2 - 143 wrt b?
10599430*x**2
What is the derivative of -194647*a**3 + 3*a**2 - a + 7876633 wrt a?
-583941*a**2 + 6*a - 1
Differentiate -796876*d - 1272908 with respect to d.
-796876
Differentiate 136*l**3*v - 2051*l**3*w - l - 365287*v*w + 5*w + 42 wrt v.
136*l**3 - 365287*w
What is the second derivative of 313207280*b**3 + 76*b - 2013318?
1879243680*b
Find the third derivative of -361*p**2*w**3 - 2*p**2 - 4*p*w**3 + 8*p*w**2 - 203*w**3 - 2324*w**2 + 1 wrt w.
-2166*p**2 - 24*p - 1218
What is the second derivative of -430042468*p**2 - 14*p - 652524 wrt p?
-860084936
Differentiate -281204838*t**2 + 286094797 wrt t.
-562409676*t
Differentiate 43598706*i**2*r + 453475621*i**2 wrt r.
43598706*i**2
What is the second derivative of 71500662*u**5 + 516*u + 30552 wrt u?
1430013240*u**3
Find the second derivative of o**3*s*t - 185698*o**2*s**3 - 3*o**2*t - 24*o*s**3*t - 23*o*s**2 + 10*o + s**3 + 53*t wrt o.
6*o*s*t - 371396*s**3 - 6*t
Find the first derivative of 3699833*f**2 - 5171876.
7399666*f
Find the second derivative of 4*f**3*r*u + 2*f**2*r + 21127084*f**2*u**2 + 3*f*r*u**2 + 5*f*r - 11*f*u**2 + 3*r*u**2 - 891 wrt f.
24*f*r*u + 4*r + 42254168*u**2
Find the third derivative of 255168164*w**4 + 715210*w**2 + w + 11.
6124035936*w
What is the derivative of -874857023*j**4 + 117254229?
-3499428092*j**3
What is the third derivative of -124174141*y**6 + 7*y**2 + y - 785272 wrt y?
-14900896920*y**3
Find the third derivative of 182117*l**5 + 314*l**4 + 250*l**2 - 393850.
10927020*l**2 + 7536*l
Find the second derivative of 1498324*m**4 - 3*m**2 - 19860898*m wrt m.
17979888*m**2 - 6
What is the second derivative of 60511895*c**5 - 696972532*c?
1210237900*c**3
Find the third derivative of -13637298*d**3 + 8840*d**2 + 11*d + 6.
-81823788
Differentiate -734*a**3*p*s - 9*a**3*s - 2*a**2 + a*c*s - 473*a*s + 180*c*p - 4*p*s - 5*s with respect to p.
-734*a**3*s + 180*c - 4*s
Find the second derivative of -28189468*d**5 + 7*d - 208814 wrt d.
-563789360*d**3
What is the third derivative of -5749365*n**4 - 15970*n**2 - 594*n?
-137984760*n
Differentiate -51*q*x**2 - 334246*q*x + 137*q - 419164 with respect to x.
-102*q*x - 334246*q
Find the third derivative of -2795*r*t**3 - 47*r*t**2 + 3*r - 8048*t**3 - 1769*t**2 - 65 wrt t.
-16770*r - 48288
Differentiate -345259075*f*j**2 - 4*j**2 + 677816 with respect to f.
-345259075*j**2
What is the first derivative of 31*a**3*u + 2*a**3 - 2*a**2*u**2 - 762*a**2 - 189*a + 78268*u**2 - 6 wrt u?
31*a**3 - 4*a**2*u + 156536*u
What is the second derivative of 14025821*p**2 + 29522060*p wrt p?
28051642
What is the first derivative of -232573313*m - 438984414?
-232573313
Find the first derivative of 110*k**4 - 296988*k*p**3 - 17*p**3 + 9437*p**2 - 10 wrt k.
440*k**3 - 296988*p**3
What is the third derivative of -4667*h**5 - 5284*h**4 - 257763997*h**2?
-280020*h**2 - 126816*h
What is the derivative of 14*c*v**2 + 1790151*c*v + 158*v**2 + 27599 wrt c?
14*v**2 + 1790151*v
What is the second derivative of -7472*t**3 - 1230*t**2 + 4505*t + 14625 wrt t?
-44832*t - 2460
What is the second derivative of 3589621*b**3 - 3*b**2*k + b**2 - 109531*b - 8*k wrt b?
21537726*b - 6*k + 2
What is the second derivative of 3*z**4 + 227634*z**3 + 14*z**2 + 12031*z - 8226?
36*z**2 + 1365804*z + 28
What is the third derivative of 9453*r**6*s + 1230*r**4*s**3 + 5*r**2*s**3 + 17*r**2*s**2 + 2*r**2*s - 60*r*s - 38*s + 15 wrt r?
1134360*r**3*s + 29520*r*s**3
Find the second derivative of -11405325*c**2 - 10624828*c wrt c.
-22810650
Find the third derivative of 1876*o**5 + 3079*o**4 - 7980*o**2 + 4773*o wrt o.
112560*o**2 + 73896*o
What is the second derivative of 2*q**3 + 88198823*q**2 - 213251614*q wrt q?
12*q + 176397646
What is the second derivative of 1799540*k**3*s**2*x - 270*k**3*s + 3*k**3*x**2 + 38*k**3 + 6*k**2*s**2*x**2 - 18*k*x**2 - 2*s*x + 2*s wrt s?
3599080*k**3*x + 12*k**2*x**2
What is the third derivative of 25*w**6*x**2 + 6119693*w**3*x**3 - 59*w**2 + 7*w*x**3 + 325*w*x + 251*x**3 wrt w?
3000*w**3*x**2 + 36718158*x**3
What is the derivative of 7555614*s**2 - 9947639?
15111228*s
Differentiate 5154102*u**2 + 54721756 wrt u.
10308204*u
Find the first derivative of 58*x*y - 441675*x + 3523226*y**2 + 242 wrt y.
58*x + 7046452*y
What is the third derivative of -695124225*a**3*w**3 + 4*a**3*w**2 - 6*a**3*w - 3*a**2*w - 2*a*w**2 - 1841*a*w + 9*a wrt w?
-4170745350*a**3
Find the second derivative of 125*f**2*g**2 + 122*f**2*g - 63*f**2 + 160*f*g - 85*f - 10*g**2 + 11 wrt f.
250*g**2 + 244*g - 126
What is the third derivative of 10*d**4*s**3 + 85*d**3*s**3 + 2275*d**3 - 3*d**2*s**3 - 96*d**2*s**2 + 20*d**2 + 319 wrt d?
240*d*s**3 + 510*s**3 + 13650
Find the second derivative of 179590*k**5 - 6*k**4 - k - 29112.
3591800*k**3 - 72*k**2
Find the second derivative of -2*d**2*u*y + d**2*u + 483*d**2*y + 1047*d**2 + 53*d*u*y - 3140*d*y - 2*u - 8*y - 2 wrt d.
-4*u*y + 2*u + 966*y + 2094
What is the second derivative of -1228*b**3*i - 1572*b**2*i - 4*b*i + b - 143373*i wrt b?
-7368*b*i - 3144*i
Differentiate 50*h**3 + 555*h**2 - 14*h + 6286474.
150*h**2 + 1110*h - 14
Find the first derivative of 19500*b**3*d*f**3 - 4*b**3*f**3 - 2*b**2*f**3 + 2*b**2*f + 805*b**2 - 27*b - 2301*d*f**3 wrt d.
19500*b**3*f**3 - 2301*f**3
What is the first derivative of 233118187*z + 140830099?
233118187
What is the third derivative of 9400*b**4*r + 2*b**4 - 2488*b**3*r - 11*b**2*r - 95*b**2 - 32*b*r + 2*b - r - 1 wrt b?
225600*b*r + 48*b - 14928*r
Find the third derivative of -236*s**4*x**3 + 8874*s**4*x - 47*s**2*x**2 - 21651*s*x**3 wrt s.
-5664*s*x**3 + 212976*s*x
What is the first derivative of -11721059*q**4 - 4261047?
-46884236*q**3
What is the second derivative of -5322624*u**2 + 2461576*u wrt u?
-10645248
Find the third derivative of -17705681*h**4 - 1181*h**2 + 35*h - 2 wrt h.
-424936344*h
Find the third derivative of -1046579885*x**3 + 203494*x**2 + 4*x wrt x.
-6279479310
What is the derivative of -7*x**4 - 13099237*x + 914855568?
-28*x**3 - 13099237
What is the third derivative of p**3*t*w**2 + 5462990*p**3*t - 655903*p**2*t - 43*p**2*w - t*w**2 wrt p?
6*t*w**2 + 32777940*t
Differentiate 43710899*r**4 + 43522020 with respect to r.
174843596*r**3
What is the second derivative of -156695*g**3*u**2 - 23*g**2*u + 16496215*g*u**2 + g*u wrt g?
-940170*g*u**2 - 46*u
What is the derivative of n**2*s - 79352696*n**2 + 309782457*s wrt n?
2*n*s - 158705392*n
Differentiate 16*g**3*m - 77*g**3 - 266690*g
|
{
"pile_set_name": "DM Mathematics"
}
|
7
Calculate the highest common divisor of 22 and 121.
11
What is the highest common divisor of 221 and 143?
13
Calculate the greatest common divisor of 783 and 54.
27
Calculate the highest common factor of 2088 and 8.
8
Calculate the highest common divisor of 405 and 18.
9
Calculate the greatest common divisor of 185 and 235.
5
Calculate the greatest common divisor of 390 and 1820.
130
Calculate the highest common factor of 89 and 5251.
89
Calculate the greatest common factor of 1782 and 22.
22
Calculate the highest common divisor of 312 and 24.
24
Calculate the greatest common divisor of 8 and 724.
4
Calculate the greatest common divisor of 29 and 464.
29
Calculate the highest common divisor of 4160 and 65.
65
What is the greatest common factor of 8 and 68440?
8
What is the highest common factor of 1 and 103?
1
What is the highest common factor of 2101 and 5921?
191
What is the highest common factor of 476 and 28?
28
Calculate the greatest common factor of 14 and 32.
2
What is the greatest common divisor of 154 and 56?
14
Calculate the highest common factor of 1303 and 1.
1
What is the highest common divisor of 4448 and 1?
1
Calculate the greatest common factor of 28 and 105476.
28
What is the highest common divisor of 238 and 112?
14
Calculate the highest common divisor of 4516 and 4.
4
Calculate the highest common factor of 1359 and 1963.
151
Calculate the highest common divisor of 8 and 192.
8
Calculate the highest common divisor of 8 and 32.
8
Calculate the highest common divisor of 2016 and 64.
32
Calculate the greatest common factor of 6407 and 86.
43
What is the greatest common divisor of 129 and 4171?
43
What is the greatest common factor of 272 and 17?
17
Calculate the greatest common divisor of 1072 and 16.
16
What is the greatest common factor of 108 and 1998?
54
Calculate the greatest common factor of 69 and 27.
3
What is the highest common factor of 47 and 47?
47
What is the greatest common divisor of 6370 and 30?
10
Calculate the greatest common divisor of 69 and 39.
3
What is the highest common divisor of 54 and 4?
2
What is the greatest common divisor of 9234 and 228?
114
What is the greatest common factor of 888 and 80?
8
What is the greatest common factor of 1 and 569?
1
Calculate the greatest common divisor of 444 and 1443.
111
What is the highest common factor of 4 and 236?
4
Calculate the greatest common factor of 187 and 22.
11
Calculate the greatest common divisor of 11 and 869.
11
What is the greatest common factor of 62 and 2?
2
Calculate the highest common factor of 646 and 34.
34
Calculate the highest common divisor of 1159 and 549.
61
Calculate the highest common factor of 10797 and 177.
177
What is the greatest common divisor of 116 and 2?
2
Calculate the greatest common divisor of 22313 and 53.
53
What is the greatest common divisor of 1 and 343?
1
Calculate the highest common divisor of 4 and 58.
2
What is the greatest common divisor of 711 and 9?
9
What is the highest common divisor of 1025 and 82?
41
Calculate the highest common factor of 599 and 1.
1
Calculate the highest common factor of 3 and 12549.
3
What is the highest common factor of 72 and 90?
18
What is the greatest common divisor of 30 and 795?
15
What is the greatest common divisor of 48 and 54?
6
What is the greatest common factor of 1593 and 236?
59
Calculate the highest common factor of 33 and 187.
11
Calculate the highest common divisor of 57 and 6593.
19
Calculate the greatest common divisor of 3567 and 492.
123
What is the highest common factor of 560 and 240?
80
What is the greatest common divisor of 6278 and 258?
86
What is the highest common divisor of 3 and 225?
3
Calculate the greatest common divisor of 876 and 60.
12
What is the greatest common factor of 5140 and 20?
20
Calculate the highest common factor of 750 and 285.
15
Calculate the highest common divisor of 330 and 270.
30
Calculate the greatest common factor of 3716 and 4.
4
Calculate the greatest common divisor of 1 and 1.
1
What is the greatest common divisor of 15 and 1920?
15
What is the greatest common factor of 2590 and 280?
70
Calculate the greatest common factor of 11 and 1221.
11
Calculate the highest common factor of 1755 and 45.
45
What is the highest common divisor of 48621 and 228?
57
What is the highest common factor of 8900 and 350?
50
Calculate the highest common divisor of 513 and 57.
57
Calculate the highest common divisor of 288 and 108.
36
Calculate the highest common factor of 25 and 1325.
25
What is the greatest common factor of 1633 and 23?
23
What is the highest common divisor of 1062 and 590?
118
What is the highest common factor of 16 and 646?
2
What is the greatest common factor of 104 and 1832?
8
Calculate the greatest common divisor of 21 and 2289.
21
What is the highest common factor of 75 and 1425?
75
Calculate the greatest common factor of 395 and 10.
5
Calculate the highest common divisor of 114 and 102.
6
Calculate the greatest common divisor of 96 and 1000.
8
Calculate the highest common factor of 2 and 192.
2
What is the greatest common factor of 94 and 4042?
94
Calculate the highest common divisor of 9 and 7389.
9
What is the greatest common factor of 105 and 300?
15
Calculate the highest common divisor of 90 and 1575.
45
Calculate the greatest common factor of 754 and 58.
58
What is the greatest common divisor of 315 and 21?
21
What is the highest common factor of 164 and 820?
164
What is the highest common factor of 14 and 2?
2
Calculate the highest common factor of 188 and 8.
4
Calculate the greatest common divisor of 100 and 350.
50
What is the highest common factor of 328 and 104?
8
What is the greatest common divisor of 20 and 25110?
10
Calculate the greatest common factor of 14 and 147.
7
Calculate the greatest common factor of 168 and 21336.
168
What is the highest common factor of 806 and 62?
62
What is the greatest common factor of 1308 and 228?
12
Calculate the highest common divisor of 228 and 57.
57
What is the greatest common divisor of 14 and 3542?
14
Calculate the highest common factor of 120 and 9384.
24
Calculate the greatest common divisor of 3244 and 12.
4
What is the greatest common factor of 290 and 174?
58
What is the greatest common divisor of 340 and 17?
17
What is the highest common factor of 77 and 1771?
77
Calculate the greatest common factor of 210 and 168.
42
Calculate the highest common factor of 59 and 16.
1
What is the highest common divisor of 105 and 609?
21
Calculate the greatest common divisor of 34304 and 67.
67
Calculate the highest common factor of 429 and 78.
39
Calculate the greatest common divisor of 844 and 4.
4
Calculate the greatest common divisor of 656 and 1394.
82
Calculate the highest common divisor of 116 and 87.
29
Calculate the highest common factor of 774 and 43.
43
Calculate the highest common divisor of 1378 and 26.
26
Calculate the greatest common divisor of 3060 and 720.
180
Calculate the highest common divisor of 642 and 749.
107
Calculate the highest common factor of 6561 and 63.
9
Calculate the greatest common factor of 888 and 111.
111
Calculate the highest common divisor of 8 and 3016.
8
What is the greatest common factor of 441 and 9?
9
What is the greatest common factor of 18 and 110?
2
What is the highest common divisor of 575 and 50?
25
Calculate the greatest common divisor of 30 and 28875.
15
Calculate the highest common divisor of 18 and 4509.
9
What is the greatest common divisor of 64 and 192?
64
What is the highest common factor of 106 and 1590?
106
What is the greatest common divisor of 1672 and 228?
76
What is the highest common factor of 316 and 79?
79
Calculate the highest common factor of 1386 and 220.
22
Calculate the greatest common divisor of 88 and 506.
22
Calculate the highest common divisor of 38 and 266.
38
Calculate the greatest common divisor of 795 and 15.
15
Calculate the highest common factor of 105 and 45.
15
What is the highest common factor of 40 and 61720?
40
Calculate the highest common factor of 780 and 16068.
156
What is the greatest common divisor of 15 and 1245?
15
What is the highest common divisor of 75 and 1605?
15
Calculate the greatest common factor of 680 and 85.
85
Calculate the greatest common factor of 75 and 555.
15
What is the high
|
{
"pile_set_name": "DM Mathematics"
}
|
02. Give m(-9).
12
Let o(s) = -72*s - 906. Calculate o(-13).
30
Let u(r) = -19*r - 314. Calculate u(-21).
85
Let n(y) = y**3 + 5*y**2 - 16*y + 6. Give n(3).
30
Let p(s) = -s**3 + 3*s**2 + 421*s + 1570. Give p(-4).
-2
Let z(b) = 2*b**2 - 43*b + 161. Calculate z(17).
8
Let i(h) = h**2 + 34*h - 246. Determine i(-40).
-6
Let i(q) = q**2 + 65*q + 179. Give i(-62).
-7
Let g(p) = p**3 - 68*p**2 - 14*p + 955. Calculate g(68).
3
Let q(r) = 18*r**2 - 340*r - 68. Determine q(19).
-30
Let w(u) = -u**3 + 38*u**2 - 110*u + 46. Calculate w(35).
-129
Let q(g) = -g**3 - 8*g**2 - 35*g - 345. Determine q(-9).
51
Let b(o) = -o**3 + 25*o**2 - 100*o + 15. Give b(20).
15
Let z(x) = -393*x + 778. Determine z(2).
-8
Let y(w) = 3*w**2 - 20*w - 56. Give y(10).
44
Let g(w) = w**3 + 21*w**2 - 46*w - 6. What is g(-23)?
-6
Let a(d) = -13*d**2 - 470*d - 70. Calculate a(-36).
2
Let g(r) = 11*r**2 + r + 6. Determine g(2).
52
Let n(x) = 5*x**2 - 106*x - 736. What is n(-7)?
251
Let b(i) = -i**3 - 16*i**2 + 51*i + 5. Calculate b(3).
-13
Let f(c) = -c**3 - 27*c**2 - 16*c - 2146. Calculate f(-29).
0
Let h(l) = 104*l - 14776. What is h(142)?
-8
Let x(d) = -d**2 - 333*d - 27375. What is x(-148)?
5
Let i(d) = -196*d + 410. Give i(2).
18
Let k(j) = -j**3 - 13*j**2 - 22*j - 12. What is k(-6)?
-132
Let n(t) = t**2 - 33*t + 160. Calculate n(6).
-2
Let f(p) = -39*p - 333. Calculate f(-9).
18
Let o(h) = h**3 + 4*h**2 - 5*h - 26. Give o(-6).
-68
Let p(s) = -131*s**2 - 4*s + 18. Give p(1).
-117
Let r(s) = -s**3 + 39*s**2 + 168*s + 158. Give r(43).
-14
Let r(y) = -32*y + 696. Give r(21).
24
Let p(v) = -2*v**2 - 12*v - 33. Determine p(-8).
-65
Let t(l) = -l**3 - 47*l**2 - 240*l - 16555. Give t(-49).
7
Let k(f) = f**2 + 41*f + 35. Give k(-40).
-5
Let y(f) = -f**2 - 520*f + 1558. What is y(3)?
-11
Let r(v) = -v**2 - 2*v + 47. What is r(11)?
-96
Let m(r) = -275*r - 688. Give m(-3).
137
Let w(f) = -67*f + 5700. Calculate w(85).
5
Let h(z) = z**3 + 137*z**2 + 398*z + 6. What is h(-3)?
18
Let m(j) = -6*j**2 - 18*j - 15. What is m(-8)?
-255
Let h(j) = 14*j**3 - 6*j**2 - j - 614. Calculate h(0).
-614
Let o(h) = 5*h**2 - 92*h - 160. Give o(20).
0
Let y(z) = 145*z - 2364. What is y(10)?
-914
Let l(k) = k**3 + 8*k**2 - 10*k + 55. What is l(-11)?
-198
Let y(l) = -63*l**2 - 14*l + 7. Calculate y(2).
-273
Let v(r) = r**3 - 45*r**2 + 461*r + 53. What is v(16)?
5
Let t(x) = 22*x - 22. What is t(-1)?
-44
Let v(w) = 19*w - 2408. Calculate v(127).
5
Let i(c) = -c**2 - 50*c + 81. What is i(-15)?
606
Let l(y) = -7*y + 130. Give l(19).
-3
Let z(y) = y**3 + 25*y**2 + 25*y - 3. What is z(-24)?
-27
Let x(k) = -2*k**3 - 372*k**2 + 374*k + 3. Determine x(-187).
3
Let h(i) = i**3 + 7*i**2 - 231*i - 1967. Give h(-9).
-50
Let g(o) = 19*o**2 + 440*o + 62. Determine g(-23).
-7
Let g(o) = o**3 - 36*o**2 - 246*o - 253. Give g(42).
-1
Let z(t) = -3*t**2 + 6*t + 48. Determine z(9).
-141
Let w(b) = -115*b - 11195. What is w(-97)?
-40
Let u(w) = w**3 - 14*w**2 + 23*w - 9. What is u(9)?
-207
Let n(t) = -t**2 + 5*t + 667. Calculate n(-23).
23
Let a(y) = 4*y**3 - 7*y**2 - 33*y - 147. Determine a(-5).
-657
Let c(q) = -7*q**2 - 93*q - 21. Give c(-9).
249
Let l(u) = u**3 + 3*u**2 - 23*u + 36. What is l(0)?
36
Let p(h) = 24*h + 36. What is p(-3)?
-36
Let i(g) = -309*g - 24398. Calculate i(-79).
13
Let j(n) = 69*n - 1448. Determine j(21).
1
Let t(m) = -169*m - 16136. What is t(-95)?
-81
Let o(a) = -a**3 - 31*a**2 + 4*a + 133. Give o(-31).
9
Let l(j) = 5*j**2 + 695*j - 1416. What is l(2)?
-6
Let y(u) = 213*u - 2102. Determine y(10).
28
Let u(c) = -11*c - 170. Determine u(-9).
-71
Let f(g) = g**3 - 3*g**2 - 16*g + 33. What is f(5)?
3
Let a(l) = 10*l**2 + 564*l - 338. Determine a(-57).
4
Let y(r) = -r**2 - 38*r - 263. Give y(-29).
-2
Let m(u) = 2*u + 304. What is m(48)?
400
Let x(z) = -24*z**2 + 8*z - 8. Determine x(1).
-24
Let c(b) = -3*b + 58. Determine c(22).
-8
Let a(h) = 2*h**3 + h**2 - 6*h - 470. What is a(0)?
-470
Let w(y) = -6*y**3 + 31*y**2 + 14*y - 117. Give w(4).
51
Let o(a) = -99*a + 7325. Give o(74).
-1
Let k(o) = -6*o**2 - 115*o + 63. Determine k(-20).
-37
Let h(x) = -6*x**3 - 26*x**2 - 4*x + 15. Determine h(-4).
-1
Let u(a) = 2983*a + 71592. Give u(-24).
0
Let u(c) = c**2 + 138*c + 3726. Calculate u(-38).
-74
Let f(u) = u**3 - 26*u**2 - 20*u - 186. What is f(27)?
3
Let m(a) = -11*a**3 - a**2 + 3*a + 1. Give m(-1).
8
Let k(t) = -668*t + 68816. Give k(103).
12
Let d(a) = a**3 + 18*a**2 + 8*a - 120. Determine d(-17).
33
Let b(z) = z**3 - 94*z**2 - 396*z + 9. Determine b(-4).
25
Let x(d) = d**3 + 8*d**2 - 25*d + 254. What is x(-12)?
-22
Let b(t) = -35*t**3 + 387*t**2 - 25*t + 7. Give b(11).
-26
Let l(a) = -11*a + 149. Calculate l(13).
6
Let t(p) = -3*p**2 + 18*p + 155. Give t(-6).
-61
Let z(l) = 103*l - 772. Calculate z(8).
52
Let x(l) = l**2 + 76*l + 886. Give x(-15).
-29
Let p(i) = -662*i + 23. Give p(1).
-639
Let t(s) = -s**3 - 30*s**2 + 255*s - 156. Calculate t(-37).
-8
Let k(r) = 2*r**2 - 40*r + 134. Give k(16).
6
Let g(y) = y**3 - 20*y**2 + 31*y - 49. Give g(19).
179
Let y(o) = -o**3 - 78*o**2 + 240*o - 217. Give y(-81).
26
Let k(c) = -6*c**3 - 3*c**2 - 3*c + 9. Determine k(4).
-435
Let l(s) = -s**3 - 14*s**2 - 23*s + 37. Determine l(-12).
25
Let a(p) = 8*p**2 - 29*p - 17. Calculate a(4).
-5
Let k(v) = 2*v**2 + 202*v + 1494. What is k(-93)?
6
Let i(w) = -2*w**3 + 14*w**2 + 14*w - 7. What is i(8)?
-23
Let u(r) = 16*r + 113. Calculate u(-13).
-95
Let k(n) = -n**2 - 16*n + 168. Give k(0).
168
Let i(x) = 6*x**3 - 2*x**2 - 18*x - 1. What is i(-3)?
-127
Let r(p) = -3*p**2 - 75*p - 440. Give r(-8).
-32
Let l(z) = -32*z + 6. Determine l(15).
-474
Let h(i) = i**2 + 187*i - 368. Give h(2).
10
Let s(c) = -23*c - 331. Determine s(-18).
83
Let w(d) = d**2 + 58*d - 13540. What is w(-149)?
19
Let j(p) = -4*p**2 - 187*p - 539. Determine j(-3).
-14
Let o(t) = 34*t**2 - 235*t - 29. What is o(7)?
-8
Let j(n) = 13*n**3 + 3*n**2 - 6*n + 4. Give j(1).
14
Let v(q) = -195*q - 3896. What is v(-20)?
4
Let i(g) = 46*g**2 + 9*g + 21. Give i(-4).
721
Let z(t) = -15*t**2 - 1094*t + 121. Give z(-73).
48
Let q(z) = -4*z - 208. Determine q(-9).
-172
Let j(i) = -49*i + 237. Determine j(4).
41
Let g(q) = 571*q - 1140. Calculate g(2).
2
Let t(b) = -1364*b - 9527. Calculate t(-7).
21
Let q(t) = -9*t**2 - 293*t + 31. Calculate q(-31).
465
Let y(x) = -x**2 - 35*x - 180. Determine y(-34).
-146
Let o(y) = -y**3 - 11*y**2 + 20*y + 42. Give o(-12).
-54
Let l(f) = -f**2 - 4*f - 6. Determine l(5).
-51
Let j(r) = -2*r**2 - 24*r + 15. Give j(-13).
-11
Let l(n) = 50*n**3 - 2*n**2 - 15*n + 16. What is l(1)?
49
Let g(t) = 6*t - 180. What is g(18)?
-72
Let h(v) = 3*v**2 - 14*v + 74. Give h(6).
98
Let c(b) = -13*b**2 + 99*b - 297. Give c(3).
-117
Let p(v) = 17722*v + 124052. What is p(-7)?
-2
Let v(k) = 10*k**2 + 63*k + 31. Calculate v(-6).
13
Let m(d) = d**3 - 6*d**2 - 59*d + 199. Give m(11).
155
Let z(s) = s**3 + 49*s**2 + 90*s - 190. Determine z(-47).
-2
Let c(m) = m**2 - 29*m + 173. Determine c(21).
5
Let y(r) = 3*r**3 + 41*r**2 + 126*r + 4. Give y(-9).
4
Let t(p) = 45*p + 1133. Determine t(-25).
8
Let j(d) = -3*d**2 + 337*d + 4335. Calculate j(124).
-5
Let c(x) = -x**3 + 15*x**2 - 19*x - 8. Calculate c(11).
267
Let n(a) = a**2 + 13*a - 8. Determine n(-18).
82
Let u(x) = x**3 - 3*x**2 - 105*x + 66. What is u(-9)?
39
Let i(v) = 8*v - 14. Give i(-7).
-70
Let f(y) = -27*y**3 - 4*y**2 + 5*y - 3. Give f(1).
-29
Let t(n) = 2*n**3 + 29*n**2 - 11*n - 357. Give t(-14).
-7
Let d(o) = o**3 - 195*o**2 - 903*o - 19409. Give d(200).
-9
Let x(u) = 3123*u + 9370. Give x(-3).
1
Let n(o) = -o**2 - 505*o - 8290. Give n(-17).
6
Let y(c) = 6*c - 91. Give y(28).
77
Let r(f) = -77*f - 288. Give r(-5).
97
Let c(s) = -s**3 - 4*s**2 + 136*s - 63. What is c(10)?
-103
Let q(a) = -a**2 - 32*a + 77. Determine q(-34).
9
Let w(y) = -24*y**2 - 549*y - 1. Determine w(-23).
-70
Let x(m) = m**3 + 50*m**2 + 616*m + 8. Give x(-22).
8
Let f(x) = -3*x**2 - 7*x + 103. What is f(-7)?
5
Let y(p) = -4*p**3 + 11*p**2 + 124*p - 361. Calculate y(3).
2
Let h(n) = -2*n**2 - 401*n + 9841. Calculate h(22).
51
Let s(d) = 3*d**2 - 16*d + 10. What is s(-5)?
165
Let r(z) = -z**3 - 2*z**2 + 5*z + 3. What is r(5)?
-147
Let n(k) = 11*k**2 - 310*k - 967. Calculate n(31).
-6
Let v(j) = 11*j**3 + 5*j**2 - 5*j + 6. What is v(2)?
|
{
"pile_set_name": "DM Mathematics"
}
|
ith respect to g.
30*g**2
Let r(c) be the first derivative of 13*c**3/3 + 26*c + 1. Let h(z) = 4*z**2 + 9. Let s(n) = 8*h(n) - 3*r(n). Differentiate s(d) with respect to d.
-14*d
Let k(d) = -d**2 + d - 1. Let q(o) = 5*o**4 - 45*o**2 + 40*o - 45. Let i(y) = 180*k(y) - 4*q(y). What is the second derivative of i(v) wrt v?
-240*v**2
Suppose -w + 1 + 2 = 0. What is the third derivative of 5*x**w + 0*x**2 + 5*x**2 - 4*x**3 wrt x?
6
Let h(z) be the first derivative of 0*z**5 - 5 + 0*z**4 + z**2 + 0*z + 1/6*z**6 + 0*z**3. What is the second derivative of h(a) wrt a?
20*a**3
Differentiate 35 - 17*o**4 - 20*o + o**4 + 20*o with respect to o.
-64*o**3
Let c(i) = -i**4 + 9*i**2 - 17*i. Let t(v) = -3*v**2 + 6*v. Let n(b) = 6*c(b) + 17*t(b). What is the third derivative of n(y) wrt y?
-144*y
Let t(p) = -3*p**2 + 4*p - 1. Let f(b) = -3*b**2 + 3*b. Suppose -k = -6*k + 15. Let r(w) = k*t(w) - 4*f(w). Differentiate r(v) wrt v.
6*v
Let c(b) be the second derivative of -6*b**7/7 - b**4/6 - 25*b**3/6 - 38*b. What is the third derivative of c(l) wrt l?
-2160*l**2
Let j = 9 + -7. What is the second derivative of 0*s - s**3 - 4*s + j*s wrt s?
-6*s
Let y(x) = 11*x**2 + 29*x - 4. Let d(l) = -34*l**2 - 87*l + 11. Let b(t) = -4*d(t) - 11*y(t). What is the second derivative of b(s) wrt s?
30
Let u(k) be the third derivative of -k**4/24 - k**3/2 - 3*k**2. Let r be u(-8). Differentiate y + y - 5 - 2 + r wrt y.
2
Let c be (-7)/2*4/(-2). Differentiate 5*a**2 + 8 + 5*a - 5*a - c with respect to a.
10*a
Let q(y) = -y**2 - 5*y + 3. Let m be q(-6). Let w be 6/(m/(6/(-4))). What is the third derivative of -3*o**w - 2*o**2 + 0*o**3 + 0*o**2 wrt o?
-18
Let x(z) = z**3 - 8*z**2 - 8*z - 7. Let r be x(9). What is the second derivative of -r*w - 20*w**4 + 0*w + 18*w**4 wrt w?
-24*w**2
Let u(y) = -y**5 - y**4 + y**2. Let k(o) = -14*o**5 - 11*o**4 + 9*o**2. Let a(p) = -2*k(p) + 22*u(p). Find the third derivative of a(z) wrt z.
360*z**2
Suppose -2*l - 9 = 3*x, -4*x - 14 = l + l. Find the second derivative of 2*t - 2*t - l*t + t**4 + 2*t wrt t.
12*t**2
Let k be 3/(3 - (-6)/(-4)). What is the second derivative of -4*r**2 + 2*r**k - 12*r + 4*r - 7*r**2 wrt r?
-18
Let y(n) be the first derivative of 1/2*n**2 + 2 + 4*n. Differentiate y(z) with respect to z.
1
Find the third derivative of -4*r**6 - 2*r - 17*r**2 - 4*r + 8*r + r wrt r.
-480*r**3
Let l(d) = d**3 + 6*d**2 - 3. Let q be l(-6). Let s be ((-15)/(-9))/((-1)/q). What is the second derivative of 0*c**3 - c**3 - s*c + 3*c - 2*c**3 wrt c?
-18*c
Suppose 1 = 2*y - 3. Differentiate -3 - i**2 - 2*i**y + 2 wrt i.
-6*i
Let w(v) be the first derivative of -5*v**6/2 - 3*v**2/2 - 14. Find the second derivative of w(a) wrt a.
-300*a**3
Let a(m) be the second derivative of m**8/840 + m**4/24 - 7*m**3/6 - 8*m. Let t(g) be the second derivative of a(g). What is the derivative of t(i) wrt i?
8*i**3
Let n = 10 - 6. Find the third derivative of 2*b**2 + 0*b**5 + n*b**4 - 4*b**4 + 2*b**5 wrt b.
120*b**2
Let w(s) = -s**2 - 6*s. Let z be w(-6). Suppose 2*x + 5*j + 7 = x, z = 5*x - j - 17. Differentiate -2*v**3 + 0*v**x + 2 + 0*v**3 wrt v.
-6*v**2
Let s(i) be the second derivative of i**7/630 - i**6/180 - i**4/3 - 4*i. Let q(l) be the third derivative of s(l). Find the second derivative of q(d) wrt d.
8
Let v = -3 - -6. Suppose 5*l + 5*x - 10 - 15 = 0, l + v*x = 9. Find the second derivative of -3*h**3 + 2*h**l + 2*h + 2*h**3 wrt h.
6*h
Suppose 5*x + 6 = 36. Let p(c) = -2*c - 1. Let r(g) = -g - 1. Let a(q) = p(q) - r(q). Let l(u) = -7*u + 3. Let m(o) = x*a(o) - l(o). Differentiate m(y) wrt y.
1
Let v(h) be the third derivative of -5*h**4/24 + h**3/6 + h**2 + 10. What is the derivative of v(a) wrt a?
-5
Let g(b) = 0*b + 3*b - 2*b - 3. Let x be g(5). What is the second derivative of d**2 + 2*d**2 - 5*d**x + d wrt d?
-4
Let j(b) = 2*b**3 + 15*b**2 - 8. Let y(w) = w**3 + 5*w**2 - 3. Let f(m) = -3*j(m) + 8*y(m). What is the third derivative of f(p) wrt p?
12
Let w = -4 + 8. What is the derivative of 2*u - 3 + 2 - w*u + 4*u wrt u?
2
Find the third derivative of -8*m**6 - 5*m**2 - 2*m**2 + m**6 + 0*m**6 wrt m.
-840*m**3
Let j(y) be the first derivative of -72*y**5/5 - 29*y**2 - 58. Find the second derivative of j(u) wrt u.
-864*u**2
Let u(b) = -b**4 - 8*b**2 + 2*b. Let c(z) = -9*z - 3*z**4 + 0*z**4 + 33*z**2 + 6*z**4. Let m(s) = -2*c(s) - 9*u(s). Find the third derivative of m(j) wrt j.
72*j
Let n(x) = -3*x**2 + 9*x. Let b(g) = 5*g**2 - 17*g. Let c(i) = 2*b(i) + 5*n(i). What is the second derivative of c(m) wrt m?
-10
Let o(s) = -4*s**2 - 22*s + 2. Let p(c) = 63*c**2 + 351*c - 33. Let h(g) = 33*o(g) + 2*p(g). Find the second derivative of h(n) wrt n.
-12
Let o(y) = y**2 + y. Let n(l) = -7*l**2 - 9*l - 1. Let a(w) = -n(w) - 5*o(w). Let p(x) be the first derivative of a(x). What is the derivative of p(s) wrt s?
4
Let t = -8 + 10. What is the derivative of -2*w + t - 5*w + 3*w wrt w?
-4
Find the third derivative of 2*k**4 + 5*k**4 - k**4 - 13*k**2 wrt k.
144*k
Let r(v) = 19*v**3 + 8*v**2 - v + 1. Let m(f) = -f + 1. Let q(z) = m(z) - r(z). What is the third derivative of q(s) wrt s?
-114
Suppose 4*i = -5*w - 1, -7*w + 8 = -3*w + i. Differentiate 5*v**3 - 4*v**3 - 2 + 4*v**w - 2*v**3 with respect to v.
9*v**2
Find the first derivative of 4*s**2 + 9 - s**3 - 1 + 28*s**3 - 3*s**2 wrt s.
81*s**2 + 2*s
Let s(u) = -u**4 - 6*u**2 + u + 6. Let q(f) = -f + 0*f**2 + f**2 - f**4 - 2 + 1. Let o(t) = -6*q(t) - s(t). What is the second derivative of o(m) wrt m?
84*m**2
Let m(v) be the third derivative of v**7/210 - v**5/120 + v**3/2 + 2*v**2. Let f(i) be the first derivative of m(i). Find the second derivative of f(n) wrt n.
24*n
Suppose -w - 20 = -6*w. Find the first derivative of w*m - 2*m - 3 + m wrt m.
3
Let l(o) be the first derivative of -2*o**3/3 + o**2/2 + 66*o + 60. What is the first derivative of l(t) wrt t?
-4*t + 1
Let d = 4 + -2. Find the second derivative of 6*h**2 + 0*h - 7*h**d + 4*h wrt h.
-2
Let w(g) be the third derivative of -11*g**5/20 + g**4/8 + g**3/3 + 2*g**2 - 12*g. Find the second derivative of w(c) wrt c.
-66
Let q(m) = 14*m**3 - 30*m**2 + 7*m - 7. Let o(l) = -5*l**3 + 10*l**2 - 2*l + 2. Let h(t) = -7*o(t) - 2*q(t). What is the third derivative of h(w) wrt w?
42
Suppose -l - 2 + 5 = 0. Let y = 15 - 12. Find the third derivative of 5*z - l*z + z**2 - 2*z + y*z**3 wrt z.
18
Suppose 5*x + 4*k + 0 = 6, 5*x + 3*k = 7. What is the third derivative of -2*i**4 - i + i - 4*i**x + 5*i**2 wrt i?
-48*i
Let s(z) = -12*z**2 - 10*z + 2. Let j(b) = -84*b**2 - 69*b + 15. Let a(u) = -2*j(u) + 15*s(u). Find the second derivative of a(h) wrt h.
-24
Let t(n) = -2*n**3 + 7*n**2 + 4*n + 4. Let h(q) = 2*q**3 - 6*q**2 - 5*q - 5. Let u(b) = 4*h(b) + 5*t(b). Find the third derivative of u(a) wrt a.
-12
Suppose -6 = -3*y + 2*y. Suppose g = -g + y. What is the first derivative of -2*v**4 + g*v**4 + 1 - 2*v**4 wrt v?
-4*v**3
Let i = -9 - -15. Suppose 2*n = -n + i. What is the third derivative of 6*w**6 - 2*w**n - 2*w**6 - 6*w**6 wrt w?
-240*w**3
Let r(l) be the second derivative of -l**4 - 2*l**3/3 - 13*l. Find the second derivative of r(y) wrt y.
-24
Let u(q) = 5*q**3 - 1. Let s(h) = -5*h**3 + 2. Let l(f) = -f**3 + 5*f**2 - 6*f + 5. Let g be l(4). Let z(m) = g*s(m) - 4*u(m). Differentiate z(n) wrt n.
-15*n**2
Suppose -3*z = -5*x + 26, -3*x + 0*z + 10 = z. Suppose -2*r + 22 = r + x*j, -3*j = -12. What is the derivative of -25*h + 3*h**2 + 2 - r*h**2 + 25*h wrt h?
2*h
Let s(y) be the second derivative of 5*y**7/42 + 3*y**3 + 8*y. Find the second derivative of s(h) wrt h.
100*h**3
Suppose 5*m = 16 + 14. Suppose 3*x - m = 6. What is the third derivative of l**6 - 2*l**2 + 4*l**4 - x*l**4 wrt l?
120*l**3
Let t(g) = -2*g**5 + 6*g**4 - 12*g**2 + 6. Let s(v) = 3*v**5 - 7*v**4 + 13*v**2 - 7. Let r(p) = 6*s(p) + 7*t(p). Find the third derivative of r(u) wrt u.
240*u**2
Let r(u) be the second derivative of -7*u**6/5 - 29*u**2 + u + 35. What is the derivative of r(o) wrt o?
-168*o**3
Find the third derivative of -49 + 5*t**6 + 32 + 3*t**3 - 5*t**4 + t**2 + 5*t**4 wrt t.
600*t**3 + 18
Suppose -5*p + 5 = -h, p - 4*p + 5 = -h. Suppose -q - 4*q = p. What is the third derivative of 2*f**5 - f**2 + 0*f**5 + q*f**2 wrt f?
120*f**2
Let z(w) be the third derivative of w**5/10 - w**3/3 - 4*w**2. Find t
|
{
"pile_set_name": "DM Mathematics"
}
|
13 + 0 + b*c. Let j be a(9). Round j to the nearest one hundred.
1000
Let n = 0.46167 + -0.464. What is n rounded to four decimal places?
-0.0023
Let r = -142728538 + 142728361.999826. Let n = 0.335 - -175.665. Let q = r + n. What is q rounded to five decimal places?
-0.00017
Let q = 423.91096 + -415.013. Let n = q + -8.9. What is n rounded to three decimal places?
-0.002
Let q = -14 + 14.028. Let b = 2679620 + -2679620.02800138. Let u = q + b. Round u to 7 dps.
-0.0000014
Let v = -7699.99993269 + 7700. Round v to 6 dps.
0.000067
Let d = 2143.254 - 2141. Round d to one dp.
2.3
Let k be 11170/4*4/5. Let f be 2 + -2 + -3 + k. Suppose 3*h + 16974 = 5*t - f, -5*t + 12805 = -2*h. What is h rounded to the nearest 1000?
-6000
Let d = 24.5 + -26.47. Let f = 2.053 + d. Let r = f + -16.583. What is r rounded to zero dps?
-17
Suppose -3*h + 5*j + 10858 = 0, -4*j = 3*h - 10363 - 531. Suppose -h = -4*d + 3294. Round d to the nearest 100.
1700
Suppose -2*x = 3*z + 2*z - 1124, -5*z = 20. Let w be 4/(-12) - (-1 + x/3). Round w to the nearest 10.
-190
Let w = -0.0429 - -0.4479. What is w rounded to two dps?
0.41
Let v = -19.03 + 19.035502. What is v rounded to 3 decimal places?
0.006
Let m = 3076 + -3077.257. Round m to one decimal place.
-1.3
Let q = -755.9 + 751.127. What is q rounded to 0 dps?
-5
Let c = -37.7 + 30. Let q = 73.3 - c. Let l = 89.1 - q. What is l rounded to the nearest integer?
8
Let c = 10.4 - 10.443. Let o = c - 0.165. What is o rounded to two dps?
-0.21
Let p = 0.03 + -5.13. Let q = 5.148 + p. Round q to two dps.
0.05
Let l = -346 - -346.000000186. Round l to 7 decimal places.
0.0000002
Let a = 0.067517 + 4.930383. Let f = -5 + a. What is f rounded to 3 decimal places?
-0.002
Let d(t) = -t - 8. Let r be d(-4). Let w = r + 11. Let h be ((-40)/(-2))/(w/1365). What is h rounded to the nearest 1000?
4000
Let t = -52004 + 51930.857. Let m = -0.143 - t. Let f = m - 73.00063. What is f rounded to 4 decimal places?
-0.0006
Let x(r) = -9. Let p be (-8)/3*36/16. Let b(m) = m. Let o(c) = p*b(c) - x(c). Let n be o(8). Round n to the nearest ten.
-40
Let j be ((-300)/(-16))/(5/(-1142400)*-4). Round j to the nearest ten thousand.
1070000
Let x(f) = 3*f**2 + 2*f. Let w be x(1). Suppose -w*c + 3*d = 308056 + 111935, -2*d = 6. Round c to the nearest ten thousand.
-80000
Let f = -594.8714 + 595. Round f to two decimal places.
0.13
Let k = 40.12 - 44. Let s = 4 + k. Let p = s + -0.119955. Round p to 5 decimal places.
0.00005
Let j(q) = 138751*q**3 + 2*q**2 - q - 2. Suppose -2*o + 19 - 43 = 0. Let l = -14 - o. Let p be j(l). What is p rounded to the nearest 100000?
-1100000
Let p = -105101.9993 + 105086. Let k = p - -16. What is k rounded to 4 decimal places?
0.0007
Let b be (-1 + 93207)*(-514)/4. Suppose -12*i - 25107884 = -16*i. Let x = i + b. Round x to the nearest one million.
-6000000
Let j = 299.14 + -302. Let b = 3 + j. Let s = b - 0.1399945. Round s to 6 decimal places.
0.000006
Let t = -0.576999157 - -0.577. Round t to 7 dps.
0.0000008
Suppose -7 = -164*j + 163*j. Suppose -3388570 - 1091430 = j*x. What is x rounded to the nearest one hundred thousand?
-600000
Let s = 20.8044 + -20.8. Round s to 3 decimal places.
0.004
Let o = -14.9 + 7. Let r = 8 + o. Let q = -0.100024 + r. What is q rounded to five decimal places?
-0.00002
Let i = -642.28 - -648. Round i to one decimal place.
5.7
Let c = 202 + -124. Let p = -78.000099 + c. Round p to 5 dps.
-0.0001
Suppose 32672 = -12*j + 176672. Suppose 0 = 21*s - 20*s + j. What is s rounded to the nearest 100000?
0
Let n(l) = 78*l**2 - 11*l - 4. Let k be n(8). Let f be k/21*(1 + 10799). Suppose -f = 7*p - 4*p. What is p rounded to the nearest one hundred thousand?
-800000
Let g = 30 - 44.8. Let b = g - -14.80000112. Round b to 6 dps.
0.000001
Let d = 0.16 - 0.33. Let q = -103545 - -103544.830044. Let o = d - q. Round o to 5 dps.
-0.00004
Let y = -416 - -1079. Let z = -663.0291 + y. What is z rounded to 3 decimal places?
-0.029
Let v = 1982.8 + -1982.7999984721. What is v rounded to seven dps?
0.0000015
Let r = -3.909 + 4.04. Round r to 1 dp.
0.1
Let h = 26.957 - -0.043. Let j = 29.3 - h. Let u = j + -2.299992. What is u rounded to 5 decimal places?
0.00001
Let w = -7737988131 - -7737982354.504999. Let f = w + 5780.495. Let v = 4 - f. What is v rounded to 7 dps?
0.000001
Let g = 3.15 + 4.112. Let x = 0.038 + g. What is x rounded to the nearest integer?
7
Let m = -39.0971 + -0.8929. Let x = m - -40. Round x to three decimal places.
0.01
Let g = 91892 - 91876.99712. Let l = g - 8.00326. Let z = -7 + l. What is z rounded to four decimal places?
-0.0004
Let j be (-3 - -1) + 15666 - -2. Let c be (1 + j/9)*-12. Round c to the nearest 1000.
-21000
Suppose -5*s + 9*s + 44831 = 3*q, 0 = -4*q + 3*s + 59777. Let o = -4289 + 13344. Let r = q + o. What is r rounded to the nearest 10000?
20000
Let s be (-1)/((-2)/2)*0. Suppose 11*k = 31*k. Suppose l + 2*o + 15298 = s, 3*l + 5*o + k*o + 45895 = 0. Round l to the nearest 1000.
-15000
Let n(c) = -c**3 + 6*c**2 + 4. Let j be n(6). Suppose -j*f = 3*l - 72006, -7*l + 4*l + 36006 = 2*f. What is f rounded to the nearest ten thousand?
20000
Let c(l) = 4*l - 15. Let f = -17 + 23. Let d be c(f). Suppose -7*p = -d*p - 51800000. What is p rounded to the nearest one million?
-26000000
Let a = -0.0763 - -0.0762995432. Round a to 7 dps.
-0.0000005
Let i = -35 + 46. Suppose -i*w + 5*w + 4920000 = 0. What is w rounded to the nearest 100000?
800000
Let y = 1.0935 + -0.922. What is y rounded to 2 dps?
0.17
Let j(r) = 4375*r**3 + 2*r**2 - 10*r + 8. Let a be j(4). What is a rounded to the nearest ten thousand?
280000
Let z = 11963 - -39837. What is z rounded to the nearest one hundred thousand?
100000
Let g = -626.7 - -556. What is g rounded to the nearest 10?
-70
Let w = -1.26 + 1.26701. Round w to three dps.
0.007
Let r = -407.09745503 + -0.90601497. Let j = 408 + r. What is j rounded to 3 dps?
-0.003
Suppose 80*u - 141120000 = 89*u. What is u rounded to the nearest 1000000?
-16000000
Let s(n) = 16*n**3 - 6*n**2 - 3*n - 21. Let m be s(11). Let h be (m/3)/(-2) + (-2)/3. Round h to the nearest 1000.
-3000
Let v be 7/(10/(-4) - -2). Let p = v + 13. Let x be ((-76000)/48)/(p/(-960)). What is x rounded to the nearest 100000?
-1500000
Let a(q) = 1275002*q + 12. Suppose z + 4*f = -22, 2*z + 0*f = 3*f. Let c be a(z). Round c to the nearest one million.
-8000000
Let n = -1728.940075 + 1729. Let a = -0.06 + n. Round a to five decimal places.
-0.00008
Let p be -1 + -4*6/(-8). Let h be (-1)/((p + -4)/10). Suppose h*z - z = -12. Round z to the nearest ten.
0
Let l = -494814 + 1062814. Suppose -46*m = -42*m - l. What is m rounded to the nearest ten thousand?
140000
Let v = -8 - -3. Let t = v - -1.2. Round t to the nearest integer.
-4
Let m(k) = -37*k + 2. Let u be m(8). Let b = u - -169. Round b to the nearest 10.
-130
Let i = -1646 - -3771. Round i to the nearest one hundred.
2100
Let v = -9.64 + 9.649. Round v to three dps.
0.009
Let m = -39.3 + 39.30001476. Round m to 6 decimal places.
0.000015
Let u = 364 - 363.99682. What is u rounded to three decimal places?
0.003
Let u be 0/4 - (1 - 13182). Suppose -u - 37729 = 3*b. Let c = b - -11270. Round c to the nearest 1000.
-6000
Let f be (-7 - -9)/(4/74378). Suppose 7195 - f = 3*l. Let c be (l + -2)*(-94 - -2). Round c to the nearest one hundred thousand.
900000
Let g(h) = 5300*h**2 - 2*h + 4. Let t be g(2). Let p = -68200 + t. Round p to the nearest 10000.
-50000
Let j = -29.318 - 8.644. Let x = 462 - 424. Let m = x + j. What is m rounded to two dps?
0.04
Let x = -0.037 + -0.463. Let i = -11 - x. What is i rounded to the nearest integer?
-11
Let k = 30 - 30.00556. What is k rounded to 3 dps?
-0.006
Let n = -19 - -19. Let h be -500684 - (n/2 - 0). Let d = 226684 + h. Round d to the nearest ten thousand.
-270000
Let b = 1.1927 + 36.8149. Let n = b - 38. Round n to 3 dps.
0.008
Let p = -7770756 - 85512349. Let i = p - -93283146.00000062. Let h = 41 - i. Round h to 7 decimal places.
-0.0000006
Let k = 1.0072 + -1.6671. Round k to 2 decimal places.
-0.66
Let j = -162668 + 359668. What is j rounded to the nearest ten thousand?
200000
Let w = -8763170.0232 - -8768696. Let p = w + -5511. Let j = -15 + p. Round j to three dps.
-0.023
Suppose 4*b = j - 2697786 - 97608
|
{
"pile_set_name": "DM Mathematics"
}
|
term of 33879534, 67759072, 101638610?
33879538*p - 4
What is the a'th term of 426479, 852868, 1279257, 1705646?
426389*a + 90
What is the p'th term of -17755, -18513, -19271?
-758*p - 16997
What is the i'th term of -1769, -162, 1437, 3022, 4587, 6126?
-i**3 + 2*i**2 + 1608*i - 3378
What is the z'th term of -58130482, -116260964, -174391446, -232521928, -290652410?
-58130482*z
What is the m'th term of -130086, -520336, -1170752, -2081334?
-130083*m**2 - m - 2
What is the f'th term of 1974535, 3949099, 5923663, 7898227, 9872791, 11847355?
1974564*f - 29
What is the h'th term of 34242, 34248, 34272, 34326, 34422, 34572, 34788?
2*h**3 - 3*h**2 + h + 34242
What is the b'th term of 20047, 20272, 20581, 20974, 21451, 22012?
42*b**2 + 99*b + 19906
What is the t'th term of 3838, 3800, 3738, 3640, 3494?
-2*t**3 - 24*t + 3864
What is the k'th term of -5688, -5709, -5686, -5619, -5508, -5353?
22*k**2 - 87*k - 5623
What is the h'th term of -37182, -37237, -37296, -37359, -37426, -37497?
-2*h**2 - 49*h - 37131
What is the a'th term of 1279, 6911, 19613, 42097, 77075, 127259?
452*a**3 + 823*a**2 - a + 5
What is the p'th term of -7481, -7221, -6961?
260*p - 7741
What is the b'th term of 32410, 129665, 291760, 518695, 810470, 1167085?
32420*b**2 - 5*b - 5
What is the o'th term of 5968816, 11937635, 17906454, 23875273, 29844092, 35812911?
5968819*o - 3
What is the z'th term of -54909, -219693, -494333, -878829, -1373181, -1977389, -2691453?
-54928*z**2 + 19
What is the j'th term of -75745, -302983, -681725, -1211971, -1893721?
-75752*j**2 + 18*j - 11
What is the p'th term of 937, 1715, 3011, 4825, 7157, 10007, 13375?
259*p**2 + p + 677
What is the r'th term of -108739053, -108739046, -108739037, -108739026, -108739013?
r**2 + 4*r - 108739058
What is the f'th term of 2440, 11155, 26098, 47269?
3114*f**2 - 627*f - 47
What is the i'th term of 175, -526, -1211, -1880?
8*i**2 - 725*i + 892
What is the o'th term of 109594, 109617, 109640, 109663?
23*o + 109571
What is the p'th term of -16963, -35258, -53557, -71860, -90167, -108478, -126793?
-2*p**2 - 18289*p + 1328
What is the y'th term of 5826, 31884, 75314, 136116, 214290, 309836?
8686*y**2 - 2860
What is the b'th term of 794906, 794903, 794900, 794897, 794894, 794891?
-3*b + 794909
What is the t'th term of 2607, 1548, 451, -702, -1929, -3248, -4677?
-3*t**3 - t**2 - 1035*t + 3646
What is the q'th term of 5701047, 5701057, 5701071, 5701089?
2*q**2 + 4*q + 5701041
What is the s'th term of -3213710, -3213657, -3213604?
53*s - 3213763
What is the v'th term of -1468731, -2937463, -4406195, -5874927, -7343659?
-1468732*v + 1
What is the j'th term of 36539, 74484, 112405, 150290, 188127, 225904, 263609, 301230?
-2*j**3 + 37959*j - 1418
What is the n'th term of -13391, -15419, -17445, -19469?
n**2 - 2031*n - 11361
What is the o'th term of -688, -1303, -1814, -2203, -2452, -2543, -2458?
3*o**3 + 34*o**2 - 738*o + 13
What is the x'th term of 176212, 352407, 528584, 704743, 880884?
-9*x**2 + 176222*x - 1
What is the n'th term of 264413, 530880, 797347, 1063814?
266467*n - 2054
What is the l'th term of 586, 2227, 4710, 7825, 11362, 15111, 18862, 22405?
-35*l**3 + 631*l**2 - 7*l - 3
What is the w'th term of 2538, 6054, 9570?
3516*w - 978
What is the y'th term of -24358, -25327, -27952, -33061, -41482, -54043, -71572?
-138*y**3 - 3*y - 24217
What is the a'th term of -202, 1395, 5758, 14279, 28350?
232*a**3 - 9*a**2 - 425
What is the q'th term of 3781841, 3781669, 3781497?
-172*q + 3782013
What is the f'th term of -2260, -4368, -6460, -8542, -10620, -12700, -14788, -16890?
-f**3 + 14*f**2 - 2143*f - 130
What is the s'th term of 4590, 9313, 14078, 18891, 23758?
s**3 + 15*s**2 + 4671*s - 97
What is the n'th term of -71501, -132914, -194331, -255752, -317177, -378606?
-2*n**2 - 61407*n - 10092
What is the y'th term of 24804766, 24804758, 24804750, 24804742, 24804734, 24804726?
-8*y + 24804774
What is the l'th term of -20769, -166117, -560643, -1328937, -2595589, -4485189?
-20765*l**3 + l**2 + 4*l - 9
What is the w'th term of 17037, 67115, 150569, 267399?
16688*w**2 + 14*w + 335
What is the h'th term of -13134, -13248, -13364, -13482?
-h**2 - 111*h - 13022
What is the c'th term of -6278889, -12557779, -18836669, -25115559?
-6278890*c + 1
What is the k'th term of -562, -1863, -4040, -7087, -10998, -15767?
k**3 - 444*k**2 + 24*k - 143
What is the y'th term of -518347, -1036716, -1555089, -2073466, -2591847?
-2*y**2 - 518363*y + 18
What is the p'th term of -154554, -618259, -1391096, -2473065, -3864166?
-154566*p**2 - 7*p + 19
What is the n'th term of 474103, 948174, 1422209, 1896208, 2370171?
-18*n**2 + 474125*n - 4
What is the n'th term of -32832, -262700, -886680, -2101848, -4105280, -7094052, -11265240, -16815920?
-32846*n**3 + 20*n**2 - 6*n
What is the i'th term of -346, -2706, -9048, -21346, -41574, -71706, -113716?
-329*i**3 - 17*i**2 - 6*i + 6
What is the x'th term of -868, -717, -510, -241, 96, 507, 998?
x**3 + 22*x**2 + 78*x - 969
What is the r'th term of 168427, 673697, 1515807, 2694757, 4210547, 6063177?
168420*r**2 + 10*r - 3
What is the m'th term of -6840, -13990, -21140?
-7150*m + 310
What is the d'th term of -201330867, -201330869, -201330871, -201330873, -201330875?
-2*d - 201330865
What is the t'th term of -8354887, -8354889, -8354891, -8354893?
-2*t - 8354885
What is the s'th term of -561, 1393, 4629, 9153, 14971, 22089, 30513, 40249?
s**3 + 635*s**2 + 42*s - 1239
What is the x'th term of 80074333, 80074328, 80074319, 80074306, 80074289, 80074268?
-2*x**2 + x + 80074334
What is the a'th term of 153952683, 307905367, 461858051, 615810735, 769763419, 923716103?
153952684*a - 1
What is the w'th term of 661229, 2644913, 5951051, 10579643, 16530689, 23804189?
661227*w**2 + 3*w - 1
What is the y'th term of 4442204, 4442206, 4442208, 4442210, 4442212?
2*y + 4442202
What is the d'th term of -1482315, -5929261, -13340837, -23717043?
-1482315*d**2 - d + 1
What is the m'th term of -36131, -144100, -324041, -575948, -899815?
m**3 - 35992*m**2 - 140
What is the a'th term of 78893, 79731, 80583, 81455, 82353, 83283?
a**3 + a**2 + 828*a + 78063
What is the n'th term of 211441, 211427, 211413, 211399, 211385?
-14*n + 211455
What is the b'th term of 149897, 149878, 149835, 149756, 149629, 149442, 149183?
-2*b**3 - 5*b + 149904
What is the z'th term of 37847, 75533, 113061, 150431?
-79*z**2 + 37923*z + 3
What is the b'th term of 301, 1252, 2865, 5158, 8149?
3*b**3 + 313*b**2 - 9*b - 6
What is the x'th term of 298977, 299504, 300031?
527*x + 298450
What is the r'th term of -106926, -426427, -958928, -1704429, -2662930, -3834431, -5218932?
-106500*r**2 - r - 425
What is the b'th term of 75224, 150548, 225872?
75324*b - 100
What is the g'th term of 42226, 43235, 44244?
1009*g + 41217
What is the d'th term of -76822, -76127, -75434, -74743?
-d**2 + 698*d - 77519
What is the p'th term of -4938, -159, 4634, 9447, 14286, 19157, 24066, 29019?
p**3 + p**2 + 4769*p - 9709
What is the d'th term of -148184, -147463, -146740, -146015, -145288?
d**2 + 718*d - 148903
What is the z'th term of 8339, 14999, 21659, 28319, 34979?
6660*z + 1679
What is the d'th term of -201782, -403535, -605264, -806969?
12*d**2 - 201789*d - 5
What is the w'th term of -3444, -20496, -48914, -88698, -139848, -202364, -276246?
-5683*w**2 - 3*w + 2242
What is the y'th term of -12871, -25234, -37597?
-12363*y - 508
What is the s'th term of 282828, 1124137, 2526318, 4489371, 7013296, 10098093?
280436*s**2 + s + 2391
What is the x'th term of 558913, 558912, 558911?
-x + 558914
What is the c'th term of 2640, 5138, 7480, 9666?
-78*c**2 + 2732*c - 14
What is the c'th term of 26755, 26366, 25977, 25588?
-389*c + 27144
What is the c'th term of -2207, -5496, -9871, -15332, -21879, -29512, -38231?
-543*c**2 - 1660*c - 4
What is the u'th term of -45345, -90610, -135789, -180882, -225889, -270810, -315645?
43*u**2 - 45394*u + 6
What is the l'th term of -574639, -1149264, -1723889, -2298514?
-574625*l - 14
What is the g'th term of -663729, -2654956, -5973683, -10619910, -16593637?
-663750*g**2 + 23*g - 2
What is the r'th term of 163142, 163247, 163352, 163457?
105*r + 163037
What is the v'th term of 30203155, 60406312, 90609469, 120812626, 151015783?
30203157*v - 2
What is the b'
|
{
"pile_set_name": "DM Mathematics"
}
|
q)?
2*q**3
Suppose 5*s - 31 = 4. Let v(l) = l**3 - 6*l**2 - 7*l + 2. Let b be v(s). Let i(h) = b - 3 + 0. Let a(o) = -o - 1. Give -a(c) + i(c).
c
Let t(p) = 4 - 5*p + 3 + 6*p. Let f(m) = -m - 6. Give -6*f(z) - 5*t(z).
z + 1
Let s(b) be the first derivative of 8*b**3/3 + 9*b**2/2 - 8. Let u(r) = -7*r**2 - 8*r. Determine -5*s(d) - 6*u(d).
2*d**2 + 3*d
Let a(d) = -3*d - 8. Let w(s) = 7*s + 15. What is -9*a(p) - 4*w(p)?
-p + 12
Let o(q) = 4*q. Let m(r) = r. Let v(b) = b**3 - 9*b**2 + 8*b + 1. Let y be v(8). What is y*o(t) - 3*m(t)?
t
Let p(v) = v**3 - 4*v**2 - 5*v + 6. Let j be p(5). Let r(d) = d**2 - 3*d - 1. Let t(q) = -11*q - 2 + 16*q**2 - 2 - 12*q**2 + 0. What is j*t(s) - 22*r(s)?
2*s**2 - 2
Let z(m) = -8*m**2 - 3*m. Let v(c) = -120*c**2 - 44*c. Calculate 6*v(i) - 88*z(i).
-16*i**2
Let h(g) = 3*g - 2. Let q(x) = 5*x - 2. Calculate 2*h(k) - 3*q(k).
-9*k + 2
Suppose 0 = 7*d - 5*d - 6. Let w(p) be the first derivative of 1 - 2/3*p**d + p + 1/2*p**2. Let a(m) = m**2 - 1. What is 3*a(q) + 2*w(q)?
-q**2 + 2*q - 1
Let g(t) = 25*t - 17. Let m(o) = 3*o - 2. Suppose -109 - 29 = 3*x. Let w = x - -97. Determine w*m(v) - 6*g(v).
3*v
Let h(i) = -1. Let v(q) = -q**3 - 6*q**2 + 5. What is 5*h(w) + v(w)?
-w**3 - 6*w**2
Let d(a) = a. Let y(x) = -127*x**2 + 635*x. What is 635*d(i) - y(i)?
127*i**2
Let f(v) = 3*v - 14. Let p(y) = y**2 + 16*y - 70. What is -11*f(q) + 2*p(q)?
2*q**2 - q + 14
Let i(l) = 13*l**3 - 9*l - 7. Let k(f) = 3*f - 1 - 5*f + 3*f + f. Let h be k(5). Let o(v) = 6*v**3 - 4*v - 3. What is h*o(c) - 4*i(c)?
2*c**3 + 1
Let h(t) = -2*t + 11. Let r(z) = 2*z - 12. What is -5*h(g) - 4*r(g)?
2*g - 7
Let i(y) = y**3 + y**2 - 1. Let x(c) = 6*c**2 - 8*c - 12. Let r(a) = -a - 1. Let p(g) = -8*r(g) + x(g). What is -3*i(b) + p(b)?
-3*b**3 + 3*b**2 - 1
Let d(v) = 6*v**3 - 4*v**2 + 4*v - 4. Let j(m) = -m**2 + m - 1. Give -d(r) + 4*j(r).
-6*r**3
Let v(g) = 4*g**3 - 3*g**2 + 3*g + 3. Let p(n) = n**2 + 5*n + 2. Let k be p(-4). Let j(c) = 3*c**3 - 2*c**2 + 2*c + 2. Give k*v(r) + 3*j(r).
r**3
Let x(q) = -q**2 - q - 1. Suppose -6*v - 11 = -5*p - 2*v, 0 = -3*p + 3*v + 9. Let d(c) = -6*c**2 - 7*c - 5. Determine p*d(u) + 5*x(u).
u**2 + 2*u
Let z(c) = -c**2 - 3*c - 3. Let l be 0 + -1 - (-5 + 2). Suppose -4*h = -5 - 3. Let y(p) = -1 + 0 - h*p - 1. Calculate l*z(x) - 3*y(x).
-2*x**2
Let k(v) = -41*v + 39*v + 3*v**2 - 5 - v**2. Let w(h) = h + h - 1 + 5 - 2*h**2. Give 2*k(p) + 3*w(p).
-2*p**2 + 2*p + 2
Let c(u) = -22*u**3 + 12*u + 2. Let o(x) be the first derivative of 9*x**4/4 - 5*x**2/2 - x - 3. Let v = 9 + -14. Calculate v*c(b) - 12*o(b).
2*b**3 + 2
Let d(x) = -x. Let k(w) = -6*w + 4. Determine -3*d(z) + k(z).
-3*z + 4
Let y(h) = -h**3 + 5*h**2 - 2*h + 3. Let s(w) = -2*w**3 + 6*w**2 - 3*w + 4. Determine 3*s(o) - 4*y(o).
-2*o**3 - 2*o**2 - o
Let g(j) = -2*j - 5. Suppose 5*o - 3*c = 47, 3*o - 34 = c - 5*c. Let d(y) = -1. What is o*d(m) - 2*g(m)?
4*m
Let a(v) be the second derivative of -v**4/12 + v**3/6 + v**2/2 + v. Suppose -4*b = -0*b + 4. Let t(k) = 6*k**2 - 6*k - 4. Give b*t(l) - 4*a(l).
-2*l**2 + 2*l
Let x(b) = -3 + 1 + 0. Let u(j) = j - 4. Suppose 5*l + 13 = 3. Determine l*u(n) + 3*x(n).
-2*n + 2
Let f(v) = -15*v**2 + v + 2. Let h(n) = 29*n**2 - 2*n - 5. Give -5*f(g) - 2*h(g).
17*g**2 - g
Let h(j) = j - 1. Let w(c) be the third derivative of -c**4/12 + c**3/3 - 8*c**2. Let n = -17 + 14. Give n*h(r) - w(r).
-r + 1
Let p(k) = -k**3 + 3*k**2 + 3*k + 1. Let d(w) = 2*w**3 - 10*w**2 - 9*w - 3. Give 2*d(a) + 7*p(a).
-3*a**3 + a**2 + 3*a + 1
Let p(i) = -5*i**2 + 7*i. Let d(q) be the second derivative of -q**4/6 + q**3/2 - 3*q. Suppose -2*u = -0*c + 2*c + 34, -u + 2*c = 8. Determine u*d(n) + 6*p(n).
-2*n**2
Let f(g) = -4*g + 6. Let o(p) = -1. Calculate -f(d) - 3*o(d).
4*d - 3
Let o(m) = -5*m**3 - 6*m**2 - 4*m + 4. Let l(f) = -6*f**3 - 7*f**2 - 5*f + 5. Determine -4*l(d) + 5*o(d).
-d**3 - 2*d**2
Suppose 0 = -6*x + 10*x + 4. Let t(g) be the first derivative of g**2/2 + g - 1. Let n(k) = -k**3 + 4*k + 4. Determine x*n(u) + 4*t(u).
u**3
Let v(n) = 51*n. Let j(b) = 17*b. Determine -7*j(a) + 2*v(a).
-17*a
Let m(x) = -9*x**2 + 10. Let a(q) = -4*q**2 + 5. Determine 7*a(l) - 3*m(l).
-l**2 + 5
Let k(n) = 3*n + 9. Let x(u) = u + 3. Let b(r) = -2*k(r) + 7*x(r). Let g be (-22)/(-6) + 4/(-6). Let h(p) = -2*p - 4. Let w = -4 + 6. Determine g*b(t) + w*h(t).
-t + 1
Let c = -35 - -66. Let x = c + -19. Let s(y) = -10*y**2 + 12. Let m(l) = -4*l**2 + 5. Determine x*m(d) - 5*s(d).
2*d**2
Let c(j) = 2*j + 2. Let x(y) = -8*y - 8. Calculate -9*c(p) - 2*x(p).
-2*p - 2
Let t(k) = -4*k**2 + 3*k - 1. Let c(h) = -4*h**2 + 2*h - 2. Calculate 4*c(f) - 3*t(f).
-4*f**2 - f - 5
Let g(n) = 2*n**2 - 15*n - 4. Let m(b) = -b**2 + 8*b + 2. Give -4*g(l) - 7*m(l).
-l**2 + 4*l + 2
Let d(w) = w - 3. Suppose 8*n = 4*n - 12. Let c(r) = -1. Let a(t) = n*c(t) + d(t). Let z(x) = 2*x**3 - 2*x - 2. Give -2*a(b) - z(b).
-2*b**3 + 2
Let l(k) be the first derivative of -3*k**2/2 - 2*k + 7. Let y(g) = 3*g + 2. Calculate -5*l(n) - 6*y(n).
-3*n - 2
Let f(i) = -i**2 + i + 1. Let z = -11 + 16. Let d(g) = -g - 4*g**2 + 5*g + 0*g. Let q(s) = z*f(s) - d(s). Let t(l) = -1. Give -q(r) - 5*t(r).
r**2 - r
Let o(u) = u**3 + 5*u + 3. Let l(t) = -2*t**3 - 6*t - 4. Let y = 15 + -18. Give y*l(n) - 4*o(n).
2*n**3 - 2*n
Let r(n) = 5*n**2 - 5*n - 2. Let w(z) be the first derivative of -z**3/3 + z**2/2 + z + 37. Determine r(s) + 4*w(s).
s**2 - s + 2
Let h(z) = -4*z**3 + 5*z**2 - 11. Suppose -7*b - 5 - 72 = 0. Let t(c) = 2*c**3 - 3*c**2 + 6. Calculate b*t(f) - 6*h(f).
2*f**3 + 3*f**2
Let s(b) be the third derivative of -b**6/40 + b**5/20 - b**4/8 + b**3/2 + b**2 + 10. Let y(p) = 0 + 0 - p + p**2 + 1. Give -s(n) + 3*y(n).
3*n**3
Let k(n) = 5*n**3 - 4*n**2 + 7*n - 7. Let x(t) = -4*t**3 + 3*t**2 - 6*t + 6. Give 3*k(p) + 4*x(p).
-p**3 - 3*p + 3
Let p(a) = -a - 1. Let n(t) = 2*t**2 + 23*t + 12. Let s be n(-11). Let b(w) = w + 2. Give s*b(h) + 3*p(h).
-2*h - 1
Let k(u) = -7*u - 1. Let f(v) = -6*v - 2. Determine 4*f(z) - 3*k(z).
-3*z - 5
Let g(k) = k - 3. Let u be g(5). Let w(j) = 4*j**2 - 3*j + 2. Let n(f) be the third derivative of f**5/60 - f**4/24 + f**3/6 - 10*f**2. Determine u*n(h) - w(h).
-2*h**2 + h
Let y(t) = -7*t**2. Let n(d) = -57*d**2. Suppose -17 = -4*g + i, -i = -5*g - 5 + 26. Give g*n(o) - 33*y(o).
3*o**2
Let z be (42/(-15) + 3)*5. Let s be 4 + -5 - (z - 5). Let p(r) = 2*r**2 - 3. Let c(w) = -4 + 5*w**2 - 3*w**2 + 0*w**2. Calculate s*c(l) - 4*p(l).
-2*l**2
Let i(a) = 6*a + 9. Let u(t) = -14 + 33*t - 23*t - 19*t. Give -8*i(w) - 5*u(w).
-3*w - 2
Let f(p) = -4*p**2 + 15*p - 9. Let k(g) = -2*g**2 + 8*g - 5. Give -6*f(y) + 11*k(y).
2*y**2 - 2*y - 1
Let a(b) = b - 1. Let u(g) = 5 + 1 - 35*g + 32*g. Determine -2*a(o) - u(o).
o - 4
Let s(p) be the first derivative of -4*p**3/3 + 3*p**2 + 3*p + 23. Let f(a) = -3*a**2 + 5*a + 2. What is -5*f(k) + 4*s(k)?
-k**2 - k + 2
Let z(h) = -h**2 - h + 1. Let x(d) = -d**3 - 2*d**2 - 2*d + 2. Let l(u) = u**2 - u - 21. Let t be l(5). Determine t*x(v) + 2*z(v).
v**3
Let j(m) = -4*m**2 - 7*m - 7. Let g(l) = 3*l**2 + 6*l + 6. What is -3*g(s) - 2*j(s)?
-s**2 - 4*s - 4
Let p(m) = -9*m**2 - 7*m + 5. Let g(s) = 5*s**2 + 4*s - 3. Determine -5*g(o) - 3*p(o).
2*o**2 + o
Let l be 3 - (9/1)/3. Let z(x) = l*x + 3*x**2 - 2 - x - x + 1. Let n(f) = 10*f**2 - 6*f - 4. Suppose 4*t = -30 + 2. Determine t*z(p) + 2*n(p).
-p**2 + 2*p - 1
Suppose 5*s - 4 = 3*w, -w - 40 = 2*w + 4*s. Let o(i) = 3*i + 3. Let b(a) = 2*a + 2. What is w*b(y) + 5*o(y)?
-y - 1
Let k(l) = l**2 + 5*l + 1. Let c be k(-5). Let z(p) = -p**3 + p**2. Let q(g) be the second derivative of 3*g**5/10 - g**4/3 - g**2/2 + g. Give c*q(i) + 4*z(i).
2*i**3 - 1
Suppose -k = -2 + 1. Let i(v) = -5*v**2 + 2*v - 1. Let u be i(k). Let d(h) = -2*h - 3. Let a(s) = -s - 2. Give u*a(q) + 3*d(q).
-2*q - 1
Let f(q) = q**3 - 5*q**2 - 5*q - 5. Let d(k) = k**3 - 4*k**2 - 4*k - 4. Suppose -38*c + 41*c - 12 = 0. Calculate c*f(r) - 5*d(r).
-r**3
Let s(m) = 2*m**3 + 2*m - 3. Let a(x) be the third derivative of x**6/120 + x**4/24 - x**3/6 - x**2. Let f = 61 + -64. What is f*a(p) + s(p)?
-p**3 - p
Let l(d) = -6*d**3 + 5*d**2 - 3*d - 3. Let q(k) = k**3 + k + 1. What is l(b) + 3*q(b)?
-3*b**3 + 5*b**2
Let i(l) = -3*l - 7. Let d(r) = -7*r - 13. Let w(y) = 2*d(y) - 5*i(y). Let q(f) = -3. Let m(x) = -
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{
"pile_set_name": "DM Mathematics"
}
|
-1.555. Let n = b - -801.17. What is n rounded to zero decimal places?
-7
Let u = 12.3 + 45.05. Let t = 33 - u. Round t to zero decimal places.
-24
Suppose 0 = 4*w - 4*a + 4721200, 2*w = -7*a + 10*a - 2360602. Let q = w + 1702498. What is q rounded to the nearest 100000?
500000
Let b = 380.8 - 380.4981. Let g = -0.297 + b. What is g rounded to 3 dps?
0.005
Let u = -406 - -286. Let k = u + 59. Let d = -60.99917 - k. What is d rounded to four dps?
0.0008
Let k = -20455.999977137 + 20456. Round k to six dps.
0.000023
Let u = 3.639056 + 150.353644. Let q = -151.01 - 2.99. Let c = q + u. What is c rounded to three dps?
-0.007
Let z = 0.2859 + -0.0339. Let i = 10.018 + z. What is i rounded to 0 decimal places?
10
Suppose -2225 - 183 = -4*d. Let a be (d/(-21))/((-4)/(-42)). Let q = -185 - a. What is q rounded to the nearest 10?
120
Let g = 1234303 + -3500503. Round g to the nearest ten thousand.
-2270000
Let m = -119.342 - -84.693. Let n = -34.3 - m. Round n to one decimal place.
0.3
Let b = -4377 + 4377.2701. Let v = b + -0.27008433. What is v rounded to 6 dps?
0.000016
Let d = 27429.7095 + -27386. Let z = d - 20.7076. Let j = -23 + z. What is j rounded to 3 dps?
0.002
Let l = -7.151 + 10.54. Round l to 0 decimal places.
3
Let m = 83.0472 - 83. Let s = m + -0.04361. What is s rounded to three decimal places?
0.004
Let v be (2/4)/((-8)/(-400)). Suppose 0 = -v*k - 6142 - 14058. Round k to the nearest 100.
-800
Let t = -12857.968814 + 12858. What is t rounded to four dps?
0.0312
Let x = 82.4 - 74. Let b = x - -25.6. Let o = -34.9 + b. What is o rounded to zero decimal places?
-1
Let w = 0.05153 + -1189.55153. Round w to the nearest 10.
-1190
Let l = -8.994 + 8.994000278. Round l to seven decimal places.
0.0000003
Suppose -25 = -w + 2*j, 3*w = -8*j + 12*j + 77. Let a be 8/36 + 2051994/w. What is a rounded to the nearest 10000?
80000
Suppose 30*c - 35*c + 4*i + 371000000 = 0, 2*i - 148400000 = -2*c. What is c rounded to the nearest 1000000?
74000000
Let g = -792 - -855.08. What is g rounded to 0 dps?
63
Let z = -5808 - -22403. What is z rounded to the nearest 1000?
17000
Let p = -2.938 - -2.9406334. Round p to 4 decimal places.
0.0026
Let s = 31.62 + -30.6. Let t = s - 1.01275. Round t to three decimal places.
0.007
Let l = -41694 - -41693.18772. What is l rounded to 2 dps?
-0.81
Let n = 7657 - 7673.082. Let h = -0.082 - n. Let u = h + -15.99999965. What is u rounded to seven dps?
0.0000004
Let r be (5 + -2)/(-3) - -3. Let b(c) = 64*c**3 + 4*c**2 - 3*c + 3. Let z be b(r). Round z to the nearest 10.
530
Let y = -4111 + -17454. Let s = -8765 - y. What is s rounded to the nearest ten thousand?
10000
Let v = 6464 + -6463.951552. What is v rounded to 3 dps?
0.048
Let u = -2.55 + 0.77. Let q = u + 1.7799933. Round q to 6 dps.
-0.000007
Let j = -338832 + 197333. Let y = 141498.700019 + j. Let c = 0.3 + y. What is c rounded to six decimal places?
0.000019
Suppose 4*o + 254096 = -r - 468062, 2*o - 5*r = -361090. Round o to the nearest ten thousand.
-180000
Let n = 4971 + -4962.6075. Let r = -8.13 + n. What is r rounded to one dp?
0.3
Let f = -106.1193523 - -106.12. What is f rounded to four decimal places?
0.0006
Let o = -11724 - -9706.6. What is o rounded to the nearest one hundred?
-2000
Let d = 186.721 + 8.709. Let v = d + 16.11. Let z = v - 214. Round z to one dp.
-2.5
Let s = 13.74 - 13.163. Let a = 0.57764 - s. What is a rounded to 4 decimal places?
0.0006
Suppose 19 = 2*p + 9. Let u be p/((-15)/(-12)) - -4996. Suppose 16*x - 18*x = u. What is x rounded to the nearest 1000?
-3000
Let m = -0.363 - 178.637. Let b = m - -105. Let r = -74.0000066 - b. Round r to 6 decimal places.
-0.000007
Let l = 0.43449 + -0.43370892. Round l to five decimal places.
0.00078
Let v = -149 + 96. Let a = -52.8 - v. Let q = a - -0.3. Round q to 1 decimal place.
0.5
Let m = -559146 - -5606201. Let k = -5047141.99902 + m. Let t = k + 87. What is t rounded to four dps?
0.001
Let q = 0.07175 + 9.44365. Round q to one dp.
9.5
Let x(b) = 180247*b**2 - b + 2. Suppose 5*m - 9*m = 72. Let u be (m/(-4))/((-15)/(-30)). Let h be x(u). Round h to the nearest one million.
15000000
Suppose -3*i + 4*b + 197 = 0, -8*i + 3*i + 320 = -5*b. Suppose 70080 = i*a - 47*a. What is a rounded to the nearest 1000?
6000
Let b = -117 + 114.4. Let s = b + 2.600081. Round s to 4 dps.
0.0001
Let q = -83041.035121 - -83041. What is q rounded to three decimal places?
-0.035
Let d = -252.3 - 19.7. Let h = d - -272.000002256. What is h rounded to seven dps?
0.0000023
Let k = 350.9 + -870.6. Let l = k - -658. Round l to the nearest ten.
140
Let a = 799787 + -800706.338. Let g = a + 918. Let c = g - -1.4. What is c rounded to 2 dps?
0.06
Let t = -353.614 + -0.386. Let v = t - -358.44. What is v rounded to 1 decimal place?
4.4
Suppose 0 = k + 107 + 250. Let p = 217 + k. Let z = p - -99. What is z rounded to the nearest 10?
-40
Let u = -63.11 + 1.11. Let i = 62.38 + u. Let o = -0.380000672 + i. Round o to seven dps.
-0.0000007
Suppose -3*r - 3*m + 21 = 0, 0 = -2*r - 3*m - 0 + 15. Let b be (-192080056)/196 + r/21. Round b to the nearest one hundred thousand.
-1000000
Let f = 12034 + -12034.0003749. Round f to five dps.
-0.00037
Let b = 23.6415138 - -18.9585554. Let t = b + -42.6. What is t rounded to five dps?
0.00007
Let r = 23.29 - 24. Let h = -8636715 - -8636715.7099874. Let u = r + h. What is u rounded to five decimal places?
-0.00001
Let b = 6082 - 6082.007708. What is b rounded to 3 dps?
-0.008
Let z = 0.248706 - 0.2838. What is z rounded to three dps?
-0.035
Let f = 5308 - 5308.0000006143. Round f to seven decimal places.
-0.0000006
Let q(r) = -4*r + 2. Let c be q(-1). Suppose -c*w + 2*w = -8. Let z be (0 + w)/(-2) + -10 + -399989. Round z to the nearest 100000.
-400000
Let k be 105299989/3 + (-12)/36. Suppose -5*a - 4*o + 58500008 = 0, 0*o = -3*a + 2*o + k. What is a rounded to the nearest 1000000?
12000000
Let j = 17868427 - 17868730.99678. Let h = j + 304. Round h to three decimal places.
0.003
Let w be (-9810 + -1)/(2/(-692)) + -1. Let k = 15858872 + -10804267. Let m = w - k. What is m rounded to the nearest 100000?
-1700000
Let d = -172.6 + 173. Let h = 0.57575 - 0.17588. Let t = d - h. Round t to five dps.
0.00013
Let j = -8.6 - 1.1. Let k = j + 9.7008. What is k rounded to 5 dps?
0.0008
Let v = -54.588 - -55. Let t = -0.854 + v. What is t rounded to one decimal place?
-0.4
Let i = 217034.072 + -83969.8061. Let r = 133087.26589908 - i. Let f = -23 + r. Round f to seven decimal places.
-0.0000009
Let i = 241737 + -501317. What is i rounded to the nearest ten thousand?
-260000
Let c(z) = -z. Let l be c(-10). Let k = l + -12. Let n be 2436000/(-9)*(k + 17). Round n to the nearest one million.
-4000000
Let n = 2687 + -2712.092. Round n to one decimal place.
-25.1
Suppose -40 = -x - 7*x. Suppose 2*y = -4*p + 3*y + 3, 5*p = x*y - 15. Suppose 4*s + 3*c + 1939 = -2*c, -3*c = p*s + 971. Round s to the nearest 100.
-500
Let g(s) = -190801*s**2 - 19*s - 7. Let b be g(-9). Let y = b - -40054717. Round y to the nearest one million.
25000000
Let v = 19.127992059 - 19.128. What is v rounded to seven dps?
-0.0000079
Let c = 8512 + -8512.00006918. What is c rounded to six decimal places?
-0.000069
Let y(j) = -6*j + 26 + j**2 - 16 - 16. Let v(o) = 2*o**2 - 3*o - 5. Let x be v(4). Let z be y(x). What is z rounded to the nearest 10?
130
Let b(t) = 769*t**2 + 3*t + 80. Let m(z) = -770*z**2 - 3*z - 82. Let i(r) = -6*b(r) - 5*m(r). Let x be i(10). What is x rounded to the nearest ten thousand?
-80000
Let r = 65446.1 + -65450.958985. Let c = 4.86 + r. What is c rounded to 4 decimal places?
0.001
Let w = 513916 - 513503.223. Let f = 409.8 - w. Round f to 1 decimal place.
-3
Suppose 38*d = 26*d + 528. Suppose d*f = 22*f + 40480. Round f to the nearest one hundred.
1800
Let x = 1482.3663 - 1481.3. What is x rounded to two decimal places?
1.07
Let z be (-2 - 46)*21/((-756)/10929000). What is z rounded to the nearest 1000000?
15000000
Let v = -240 + 187. Let a = v - -22.8. Round a to the nearest integer.
-30
Let x be (0 + -1)/((-1)/5). Suppose -2*t = -v - 17, v = 3*t - 123 + 96. Let d be 2/t + x/(50/(-4060002)). What is d rounded to the nearest one hundred thousand?
-400000
Let f = 1920 - 1920.71. What is f rounded to 1 decimal pla
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the greatest common factor of 68900748 and 1722?
42
Calculate the highest common divisor of 41832162 and 846.
846
Calculate the greatest common factor of 2583 and 19824.
21
What is the highest common divisor of 96 and 17477052?
12
What is the highest common factor of 10193944 and 148?
148
Calculate the greatest common divisor of 7080 and 8531695.
295
Calculate the highest common divisor of 2355392 and 6156.
76
What is the greatest common divisor of 3778525 and 25?
25
Calculate the greatest common factor of 1521 and 3012763.
169
Calculate the greatest common divisor of 996646497 and 1302.
651
Calculate the highest common divisor of 27813 and 173448.
219
Calculate the highest common divisor of 2789380 and 660.
220
Calculate the greatest common divisor of 4172311 and 7007.
143
What is the highest common divisor of 65 and 713973?
13
What is the highest common factor of 6170 and 4920?
10
Calculate the highest common factor of 4829755 and 140.
35
What is the highest common factor of 3186 and 11898?
18
Calculate the greatest common factor of 726 and 32606761.
11
What is the greatest common factor of 9492 and 1902468?
1356
Calculate the greatest common factor of 3258253 and 75151.
223
Calculate the greatest common divisor of 4014108 and 15232.
476
What is the highest common divisor of 788 and 3227057?
197
What is the highest common factor of 12 and 128443998?
6
Calculate the highest common divisor of 52600090 and 70.
10
Calculate the highest common divisor of 10154928 and 231.
21
Calculate the highest common divisor of 5576179 and 427651.
1393
What is the highest common factor of 567 and 310740192?
189
What is the greatest common divisor of 18262546 and 137102?
2798
What is the greatest common factor of 936 and 14952834?
234
What is the highest common factor of 1035814800 and 1200?
1200
What is the greatest common divisor of 2511 and 5216319?
81
Calculate the greatest common divisor of 550 and 28169075.
275
Calculate the greatest common factor of 1533005415 and 45.
45
What is the highest common factor of 52287 and 768679?
601
Calculate the greatest common factor of 140 and 9881970.
70
What is the greatest common divisor of 28659 and 2762681?
233
What is the highest common divisor of 25524790 and 180?
10
What is the greatest common divisor of 186578292 and 2764?
2764
What is the greatest common factor of 4905 and 70761165?
1635
Calculate the greatest common factor of 60 and 52613400.
60
Calculate the highest common factor of 8984196 and 900.
36
What is the highest common factor of 166608 and 5627025?
801
What is the highest common divisor of 2522097666 and 33?
33
What is the greatest common factor of 2842 and 32268474?
406
Calculate the greatest common divisor of 18428 and 964580.
68
What is the highest common factor of 1921 and 950640?
17
Calculate the highest common divisor of 21 and 2153963.
7
Calculate the greatest common divisor of 1446303274 and 26.
26
Calculate the greatest common factor of 63250 and 1585375.
1375
What is the highest common factor of 2874713 and 4537?
349
What is the highest common divisor of 34875408 and 277?
277
What is the highest common factor of 667738 and 3014?
274
What is the greatest common divisor of 36418580 and 91784?
6556
What is the greatest common divisor of 173277670 and 2650?
530
What is the highest common factor of 12282277 and 142411?
2687
What is the greatest common factor of 467978 and 8456?
14
What is the greatest common divisor of 273 and 316533?
21
Calculate the highest common factor of 838355255 and 17085.
5695
What is the highest common factor of 597617 and 41907?
61
Calculate the highest common divisor of 23470 and 204370.
10
Calculate the highest common divisor of 10415625 and 125.
125
What is the greatest common factor of 389950 and 1098350?
550
What is the highest common factor of 624 and 13360880?
208
What is the highest common divisor of 88482060 and 1413?
1413
Calculate the greatest common factor of 53146522 and 15895.
3179
Calculate the highest common divisor of 981640 and 41710.
970
Calculate the greatest common factor of 294 and 117319377.
147
What is the highest common factor of 38310 and 27427406?
2554
Calculate the greatest common divisor of 232562 and 59334.
682
Calculate the greatest common factor of 30609620 and 4020.
1340
Calculate the highest common factor of 9420 and 30452976.
1884
What is the greatest common factor of 215286815 and 285?
95
What is the highest common divisor of 466 and 24873682?
466
What is the greatest common divisor of 80 and 27350320?
80
What is the greatest common divisor of 152 and 11686184?
8
What is the greatest common divisor of 14853502 and 148?
74
Calculate the greatest common divisor of 96 and 7266648.
24
Calculate the highest common factor of 198 and 10565082.
198
What is the greatest common divisor of 101171 and 195041?
1043
What is the greatest common divisor of 158432400 and 900?
900
Calculate the highest common divisor of 25837468 and 4544.
284
What is the highest common divisor of 8207181 and 1474674?
6891
Calculate the greatest common factor of 26487 and 22269899.
109
Calculate the highest common factor of 652995 and 81.
27
What is the highest common divisor of 2141516 and 22620?
52
Calculate the highest common divisor of 225590 and 2620.
10
What is the highest common factor of 741520 and 68848?
208
What is the highest common factor of 8421 and 47439?
21
What is the greatest common factor of 146781 and 2350?
47
Calculate the highest common divisor of 486 and 894078.
162
What is the greatest common divisor of 10262 and 661402?
14
Calculate the greatest common divisor of 19558449 and 306.
153
What is the highest common divisor of 2178 and 14025110?
242
Calculate the highest common divisor of 37340 and 450.
10
Calculate the highest common factor of 187708622 and 74.
74
What is the greatest common factor of 40 and 654607900?
20
Calculate the greatest common divisor of 255 and 19134792.
51
Calculate the greatest common factor of 168943096 and 3248.
1624
Calculate the greatest common factor of 99 and 196262484.
33
Calculate the highest common factor of 222774 and 5778.
642
Calculate the greatest common factor of 2414448 and 4104.
216
Calculate the highest common factor of 2202 and 79874247.
1101
What is the greatest common divisor of 537361 and 946?
11
What is the highest common factor of 7333376 and 24?
8
What is the greatest common factor of 228 and 31456989?
57
Calculate the greatest common factor of 342 and 15599484.
18
Calculate the greatest common factor of 1028056 and 1029257.
1201
Calculate the highest common factor of 29200 and 397200.
400
What is the greatest common divisor of 3002869 and 79?
79
What is the greatest common factor of 431028 and 321122?
614
Calculate the greatest common divisor of 7907060 and 30.
10
What is the highest common divisor of 360 and 2683536?
24
What is the highest common factor of 218 and 485706725?
109
What is the highest common divisor of 217 and 2609270?
31
What is the greatest common factor of 1323920 and 2178540?
4940
What is the greatest common divisor of 15066968 and 449288?
6328
Calculate the greatest common divisor of 2320605 and 58989.
1113
Calculate the greatest common divisor of 1040 and 8378890.
130
Calculate the highest common factor of 816846 and 1506.
6
Calculate the highest common divisor of 978635 and 35.
35
What is the greatest common factor of 574 and 229794914?
82
Calculate the highest common factor of 1362140 and 50220.
620
What is the highest common factor of 2102749 and 817?
19
Calculate the greatest common divisor of 29 and 2651426587.
29
Calculate the greatest common factor of 51 and 6131951.
17
What is the highest common factor of 864 and 1873341?
27
What is the highest common factor of 911 and 177359857?
911
Calculate the highest common factor of 221253671 and 287.
41
What is the greatest common divisor of 7375 and 6523925?
1475
Calculate the highest common divisor of 2512198 and 1495.
299
Calculate the highest common factor of 206775 and 1200.
75
What is the greatest common factor of 413940 and 2580?
60
What is the greatest common divisor of 63232 and 1344421?
247
What is the greatest common divisor of 3451 and 1004105?
17
What is the greatest common factor of 725472054 and 206?
20
|
{
"pile_set_name": "DM Mathematics"
}
|
Let u(o) = o**3 - o**2 - o + 28. Let p be u(x). Suppose p = 2*v + 8. List the prime factors of v.
2, 5
Let t(h) = h**2 + 6*h - 2. List the prime factors of t(-10).
2, 19
Let v = 191 + 34. What are the prime factors of v?
3, 5
Let c = -20 - -71. List the prime factors of c.
3, 17
Let y = -4 - -13. Suppose 2*u = -y - 19. Let o = u + 20. What are the prime factors of o?
2, 3
Suppose -4*t = 3*t - 210. List the prime factors of t.
2, 3, 5
Let s(m) = -38*m - 2. What are the prime factors of s(-1)?
2, 3
Suppose -4*k = -84 - 76. Suppose -s = 3*s - k. What are the prime factors of s?
2, 5
Suppose -8*w - 2*w = -1870. List the prime factors of w.
11, 17
Let z be 0 - -2 - 6/6. What are the prime factors of 4 + 9 - (z - 1)?
13
Let n(p) = -p**2 + 6*p + 10. Let d be n(8). Let o(b) = -4*b + 4. Let q be o(d). Suppose c = -3*c + q. List the prime factors of c.
7
Let c(f) = -f**3 + f**2 - f - 4. Let s(w) = -w**3 + 6*w**2. Let v be s(6). Let d be c(v). Let z(a) = -2*a - 5. List the prime factors of z(d).
3
Let v(g) = 4*g**2 + 1. Let d be v(-1). Suppose 65 = -0*w + d*w. Let u = -5 + w. List the prime factors of u.
2
Suppose -i = 3*i - 8. Let a be 1/2 - 23/i. Let v = a - -30. What are the prime factors of v?
19
Let f(o) = 5*o**2 + 4*o - 3. What are the prime factors of f(-4)?
61
Suppose 3 = -4*w - 5*y, 11 - 2 = -2*w - 5*y. Suppose -46 = -2*k - 4*r, k + 48 = 3*k + 2*r. Suppose -w*n + 11 + k = 0. List the prime factors of n.
2, 3
Suppose 6*l - 104 = 2*l. Suppose -s = 9 - l. List the prime factors of s.
17
Let b(p) = 6*p - 5. What are the prime factors of b(4)?
19
Let p be (3 + 0 - 0)*5. Suppose 0 = -4*w + 20 + 88. Let f = w - p. What are the prime factors of f?
2, 3
Suppose 4*v + 4 = 16. Suppose -v*i = -0*i - 51. What are the prime factors of i?
17
Suppose -196 = -3*g - g. What are the prime factors of g?
7
Let l(f) = -f**3 + f**2 - 1. Let z be l(0). Let r(d) = 29*d**2 - d - 2. What are the prime factors of r(z)?
2, 7
Let a(m) = -m**2 + 8*m - 7. Let g be a(8). Let d = g + 17. List the prime factors of d.
2, 5
Suppose 22 + 206 = 4*i. List the prime factors of i.
3, 19
Let w be (225/(-4))/(1/4). List the prime factors of 4/6 + w/(-27).
3
Let o(p) = -17*p + 35. What are the prime factors of o(-5)?
2, 3, 5
Suppose -2*c + 174 + 88 = 0. List the prime factors of c.
131
Let o(a) = -a**3 + 7*a**2 - 2. Let z be o(7). Let v = -2 - z. Suppose -5*w + 11 + 39 = v. List the prime factors of w.
2, 5
What are the prime factors of (3078/(-30) - -3)/((-9)/30)?
2, 83
Suppose 2*o = -5*x + 354, -3*o + 54 = 3*x - 153. List the prime factors of x.
2, 3
Let t(f) = 2*f**2 - 4*f. What are the prime factors of t(6)?
2, 3
Suppose -17*n = -18*n + 268. What are the prime factors of n?
2, 67
Suppose d + 2*d + 4*l - 181 = 0, 3*d = -3*l + 177. Let w = -18 + d. What are the prime factors of w?
37
Suppose -5*z = 4*o - 1151, -2*z + 2*o = -445 - 1. What are the prime factors of z?
227
What are the prime factors of 3 - (0 - 328/4)?
5, 17
Suppose -2*o + 243 = 5*v, o - 123 = -v - 3. What are the prime factors of o?
7, 17
Suppose 0 = v - 4*v + 21. Suppose 5*r - 147 = -v. List the prime factors of r.
2, 7
Let w(o) = -o**3 + 3*o**2 + 5*o - 4. Let f(b) = -b**3 + 3*b**2 + 4*b - 3. Let u(y) = -6*f(y) + 5*w(y). List the prime factors of u(4).
2, 3
Suppose -n + 14 = -3*r, -2*n + 5*n - 4*r - 22 = 0. Suppose n*v - 52 = -0*v. List the prime factors of v.
2, 13
Suppose 0*u = u, -4 = -2*t + 2*u. Suppose 46 = t*m - 3*z - 5, -2*m + 57 = -z. List the prime factors of m.
2, 3, 5
Suppose 5*t = 2*d + 5, 4*d = -4*t - 1 + 5. Suppose -g = -d*g - 1. Suppose 2*y - 4*y - g = -a, 5*a - 35 = 4*y. What are the prime factors of a?
11
Let w(o) be the first derivative of -o**6/360 - 3*o**5/40 - o**4/12 + o**3/3 + 1. Let z(k) be the third derivative of w(k). List the prime factors of z(-7).
2, 3
Let c = -5 + 8. Let y(h) = 4*h. What are the prime factors of y(c)?
2, 3
Let s = 3 - 0. Let a = s + 8. List the prime factors of a.
11
Suppose 4*m + 132 = -3*q, 4*q - m + 154 = m. Suppose -6*l + l = 145. Let n = l - q. List the prime factors of n.
11
Suppose -2*g = s - 3*s + 732, -2*g + 10 = 0. What are the prime factors of s?
7, 53
Suppose l - 3*r - 36 = 0, -3*l + 2*r - 49 + 157 = 0. List the prime factors of l.
2, 3
List the prime factors of (-1)/((-5)/(-42))*-5.
2, 3, 7
Let g(i) = 33*i. List the prime factors of g(1).
3, 11
Let r = 4 + -2. Let s be 2 + (r - 0) + -30. List the prime factors of (-6)/(-21) + s/(-7).
2
Suppose 13*o = 18*o - 185. List the prime factors of o.
37
Suppose -9 + 81 = 3*k. Suppose 5*f = 2*f + k. List the prime factors of f.
2
Let n(i) be the third derivative of i**4/24 + i**3/3 - 5*i**2. Suppose l = -3*l. What are the prime factors of n(l)?
2
Let x = 5 + -1. Let n = 9 - x. What are the prime factors of n?
5
Let z = 58 - -342. List the prime factors of z.
2, 5
Suppose -4*l - 20 = -2*f, 0 = -f + 3*l + 11 + 1. What are the prime factors of f?
2, 3
Suppose 12 + 0 = 4*u. Let w be (2/u)/((-4)/(-30)). List the prime factors of 3 - w - (-18)/1.
2
List the prime factors of (5 - (-13 + -1)) + (0 - -2).
3, 7
Suppose -4*t + 42 - 6 = 0. Let a(y) = y**2 - 8*y - 7. What are the prime factors of a(t)?
2
Let s = 2 + 1. Suppose -62 = -2*j - 3*j - s*q, 0 = 4*j + 3*q - 49. What are the prime factors of j?
13
List the prime factors of (-1164)/(-15) - 2/(-5).
2, 3, 13
Let k = -446 + 694. List the prime factors of k.
2, 31
Let t = 17 + 11. What are the prime factors of t?
2, 7
Suppose 28 = 5*f - f. What are the prime factors of f/(-2)*8/(-4)?
7
What are the prime factors of (-473)/(-2) - (-23)/(-46)?
2, 59
Let h be 3 - (-3 + 2 + -1). Suppose h*t - 38 = -13. List the prime factors of t.
5
Let j = 33 - 15. Let v = j - 16. List the prime factors of v.
2
Suppose -4*j = -5*v + 50, -2*v = 3*j + 5 - 48. Let p be (-10)/15 - v/(-3). Suppose 5*f = 3*u - 31, -p*f - 4 = -2*f. List the prime factors of u.
7
Let y = -10 + 15. Suppose -y*h - 4*k = -51, 2*k = h - 19 + 6. List the prime factors of h.
11
Suppose 13 = d - 19. List the prime factors of d.
2
Suppose -4*k + r = 16, -r - 7 = -5*k - 26. Let d be k/(-3) - 0 - 1. Suppose y = -3*m + 21, 5*y + 39 = 3*m - d*y. What are the prime factors of m?
2
Suppose 8 = 3*s + s. Suppose 0 = 3*u + 2*u - 5*c - 45, u - s*c - 6 = 0. Suppose q + 3*h = 4*q - 36, -q = -3*h - u. List the prime factors of q.
2, 3
Let y(h) = -5*h - 2. Let p = 1 + -5. List the prime factors of y(p).
2, 3
Let s be 1/((-4)/(-8 - 4)). Suppose s*v - 34 = -10. What are the prime factors of v?
2
Suppose -3*l - 5*f + 516 = -l, 5*l - 1290 = -2*f. List the prime factors of l.
2, 3, 43
Let k = 46 - 41. Let s(c) = -5*c + 9. Let a(m) = -2*m + 4. Let p(f) = 7*a(f) - 3*s(f). List the prime factors of p(k).
2, 3
Let p = -16 - -72. What are the prime factors of p?
2, 7
Let y = 107 + -62. List the prime factors of y.
3, 5
Let t(x) = -x**2 + 8*x - 6*x + 7*x + 7. List the prime factors of t(9).
7
Let n be (-1 - (-16)/4)*1. Let x(h) = h**3 - h**2 - 2*h - 1. What are the prime factors of x(n)?
11
Let b be (-4)/6*-15*1. Let i be 1/1*(b - 4). Suppose -2*h - 3*o + i*o = -14, 5*h = -o + 52. What are the prime factors of h?
2, 5
Let z(m) = m**2 + 5*m + 4. Let a be z(-5). Let c be -2 - (2*-3 + -2). Suppose 0 = -4*g - a*t + 16, -3*t = 2*g + t - c. What are the prime factors of g?
5
Suppose 0*v - 4*v + 128 = 0. List the prime factors of v.
2
Let v = -100 - -44. What are the prime factors of (-1)/2*v/2?
2, 7
Let h(b) = -b**2 - 13*b - 5. List the prime factors of h(-12).
7
Let y be (-2)/(-7) - (-19)/7. Suppose w = -n + 7, 7*w - 25 = -y*n + 2*w. Suppose -n*f + 4*l + 28 = 0, 5*l + 12 = 2*f + 3*l. List the prime factors of f.
2
What are the prime factors of -2 + (5 - -2)*20?
2, 3, 23
Suppose -2*r + 6 = 0, -q - 84 = -6*q - 3*r. Suppose h - b = 4*b + 12, 5*b = q. List the prime factors of h.
3
Suppose 22 = 2*m - 4*t, -4*m + 28 + 22 = -2*t. What are the prime factors of m?
13
Let i be 1/2 + 82/4. Suppose -5*a = -109 - i. What are the prime factors of a?
2, 13
Let x(y) = 63*y + 1. Let k be x(1). Suppose 5*i = -t + k, -i - 22 = -3*i - 4*t. What are the prime factors of i?
13
Let i be (-4)/6 + (-32)/6. Let h = -13 - -15. What are the prime factors of 26/6 + h/i?
2
Let f(n) = 3*n. Let i be f(-2). What are the prime factors of ((-40)/i)/((-1)/(-3))?
2, 5
Let r be 66/12 + (-1)/2. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
349, -352, -355?
-358
What is next in 7251, 7252, 7253, 7254?
7255
What is next in 118, 117, 112, 103, 90, 73, 52?
27
What is next in -24, -37, -50, -63?
-76
What is next in -7729, -7727, -7725, -7723, -7721?
-7719
What is next in 199, 365, 519, 655, 767, 849?
895
What is next in 0, -8, -28, -60, -104, -160?
-228
What comes next: 228, 226, 224?
222
What comes next: -17, -34, -61, -98, -145, -202?
-269
What comes next: 18, 30, 18, -30, -126, -282, -510, -822?
-1230
What comes next: 39, 26, 13, 0, -13?
-26
What is the next term in 3101, 3105, 3109, 3113?
3117
What is the next term in -78, -149, -204, -237, -242, -213?
-144
What is the next term in 127, 119, 97, 55, -13, -113, -251?
-433
What is next in 178, 351, 524, 697?
870
What is next in 42, 78, 114, 150, 186?
222
What is the next term in -1, 5, 17, 35?
59
What is next in -515, -527, -541, -557, -575, -595?
-617
What is next in 432, 420, 394, 348, 276, 172?
30
What is the next term in 11, 25, 63, 137, 259, 441, 695, 1033?
1467
What comes next: 41, 55, 69, 83, 97, 111?
125
What comes next: -1165, -1158, -1147, -1132, -1113?
-1090
What comes next: 74, 185, 298, 413, 530, 649, 770?
893
What is next in 20, -5, -48, -109?
-188
What comes next: 61, 141, 223, 307, 393, 481?
571
What is the next term in 121, 120, 117, 112, 105, 96, 85?
72
What is the next term in 632, 644, 688, 782, 944, 1192?
1544
What is next in 3, -10, -35, -78, -145, -242, -375, -550?
-773
What is the next term in 59, 89, 119, 149?
179
What comes next: -69, -114, -137, -132, -93, -14?
111
What comes next: -62, -166, -338, -578, -886, -1262, -1706?
-2218
What is the next term in 48, 118, 264, 510, 880, 1398?
2088
What is next in 83, 85, 89, 95, 103, 113?
125
What comes next: -33, -32, -29, -24, -17?
-8
What is next in 21, 38, 69, 120, 197, 306?
453
What is next in 540, 637, 732, 825, 916, 1005?
1092
What comes next: 151, 302, 453, 604, 755, 906?
1057
What comes next: 629, 644, 661, 680, 701, 724, 749?
776
What is next in 2, 4, -2, -22, -62, -128, -226, -362?
-542
What is the next term in 282, 563, 844, 1125, 1406?
1687
What comes next: -33, -60, -117, -216, -369, -588, -885?
-1272
What comes next: -40, -286, -696, -1270, -2008, -2910, -3976?
-5206
What is next in 14, 16, 14, 8, -2, -16, -34?
-56
What is the next term in -37, 3, 31, 41, 27, -17, -97?
-219
What is the next term in 68, 246, 558, 1016, 1632, 2418?
3386
What comes next: -47, -94, -141, -188?
-235
What is the next term in -17, 7, 47, 103, 175, 263, 367?
487
What is next in -9202, -9204, -9206, -9208, -9210, -9212?
-9214
What is next in 150, 304, 460, 618, 778, 940, 1104?
1270
What is the next term in -115, -440, -975, -1714, -2651, -3780?
-5095
What is next in -56, -55, -54, -53, -52, -51?
-50
What is the next term in -785, -784, -783, -782?
-781
What comes next: -15, -17, -19, -21, -23?
-25
What comes next: -56, -99, -144, -191, -240, -291, -344?
-399
What is the next term in -297, -598, -889, -1164, -1417, -1642, -1833?
-1984
What comes next: 438, 439, 440, 441, 442, 443?
444
What is next in 41, 66, 73, 50, -15, -134?
-319
What is next in 143, 171, 219, 293, 399, 543, 731?
969
What is the next term in 2, 8, 46, 140, 314, 592, 998?
1556
What is the next term in -45, -83, -121, -159, -197, -235?
-273
What comes next: -5, 45, 167, 397, 771?
1325
What is the next term in 228, 453, 678, 903, 1128?
1353
What is next in -1178, -1186, -1206, -1244, -1306, -1398, -1526, -1696?
-1914
What comes next: -328, -331, -336, -343, -352?
-363
What is the next term in -2017, -2005, -1977, -1927, -1849?
-1737
What comes next: -108, -198, -288?
-378
What comes next: 16, 40, 86, 160, 268, 416, 610?
856
What comes next: 110, 221, 332, 443?
554
What is the next term in -57, -72, -85, -96, -105?
-112
What is next in -298, -299, -298, -295?
-290
What comes next: -62, -207, -440, -755, -1146, -1607?
-2132
What is the next term in 1116, 2223, 3330, 4437, 5544?
6651
What comes next: 879, 892, 915, 954, 1015, 1104, 1227, 1390?
1599
What is next in -72, -68, -64, -60?
-56
What is the next term in -32, -77, -122, -167, -212?
-257
What is next in -39, -86, -153, -234, -323?
-414
What comes next: 349, 694, 1039, 1384?
1729
What comes next: -158, -312, -452, -572, -666, -728, -752?
-732
What is the next term in 1477, 2956, 4435, 5914?
7393
What is the next term in 93, 105, 125, 153, 189, 233, 285?
345
What comes next: 32, 33, 34, 35, 36, 37?
38
What is next in -11580, -11581, -11582, -11583, -11584?
-11585
What comes next: -3, -23, -45, -69, -95, -123, -153?
-185
What is the next term in 80, 86, 92, 98, 104, 110?
116
What comes next: -62, -73, -84, -95, -106?
-117
What comes next: 136, 276, 416?
556
What comes next: 0, -7, -16, -27, -40?
-55
What is the next term in 1419, 2848, 4291, 5754, 7243, 8764, 10323?
11926
What is the next term in -29, -57, -89, -125, -165, -209, -257?
-309
What is the next term in 157, 323, 491, 661?
833
What is next in -1201, -1205, -1211, -1219, -1229, -1241?
-1255
What is the next term in 82, 102, 120, 136?
150
What is next in 569, 574, 581, 590, 601, 614?
629
What comes next: -228, -227, -224, -219, -212?
-203
What comes next: -9, -24, -49, -84, -129, -184?
-249
What is next in 18, 28, 38, 48, 58?
68
What is the next term in -20, -15, -10, -5, 0, 5?
10
What comes next: 439, 443, 447, 451?
455
What is next in 5, -14, -69, -178, -359?
-630
What comes next: 127, 136, 145, 154, 163?
172
What is next in 678, 670, 662?
654
What is next in -107, -100, -91, -80, -67, -52?
-35
What comes next: 17, 28, 51, 92, 157, 252?
383
What is next in 50, 75, 98, 119?
138
What is the next term in -1439, -1445, -1451, -1457?
-1463
What is next in 16, 18, 22, 28?
36
What is next in 33499, 66996, 100493, 133990, 167487?
200984
What is the next term in 2178, 4358, 6538, 8718, 10898?
13078
What is next in 6484, 6485, 6496, 6523, 6572?
6649
What is next in -70, -145, -220?
-295
What comes next: 53, 122, 203, 296?
401
What is next in 2117, 2114, 2101, 2072, 2021?
1942
What comes next: -77, -82, -73, -44, 11?
98
What is the next term in 340, 336, 330, 322?
312
What is the next term in -58, -67, -76, -85?
-94
What is next in 13, -6, -65, -176, -351?
-602
What is the next term in 54, 110, 168, 228, 290?
354
What is the next term in 3330, 3328, 3326, 3324, 3322, 3320?
3318
What is next in -177, -178, -179, -180?
-181
What is the next term in 54, 88, 98, 84, 46, -16, -102?
-212
What comes next: -152, -253, -352, -449, -544, -637, -728?
-817
What comes next: 26, 62, 124, 212, 326?
466
What is next in 4, 36, 68, 100, 132?
164
What comes next: 100, 24, -108, -302, -564?
-900
What comes next: -42, -38, -32, -24?
-14
What is next in 917, 1833, 2749, 3665?
4581
What is next in 95, 184, 273?
362
What is the next term in -2, 110, 222, 334, 446?
558
What is the next term in -452, -442, -432, -422, -412, -402?
-392
What is the next term in -27, -45, -97, -201, -375?
-637
What is the next term in -189, -430, -841, -1428, -2197?
-3154
What is next in -52, -51, -50?
-49
What is the next term in 54, 111, 186, 285, 414, 579, 786, 1041?
1350
What comes next: 8, -6, -44, -112, -216, -362, -556?
-804
What is next in -159, -197, -221, -225, -203?
-149
What comes next: 259, 519, 781, 1045?
1311
What comes next: -275, -304, -335, -368, -403, -440?
-479
What is the next term in -64, -130, -196, -262?
-328
What is next in -33, -35, -39, -45, -53, -63, -75?
-89
What is next in -236, -477, -716, -953?
-1188
What is the next term in -27, -39, -51, -63, -75, -87?
-99
What comes next: -886, -3576, -8060, -14338, -22410?
-32276
What comes next: 187, 183, 177, 169, 159, 147, 133?
117
What is the next term in -141, -140, -139, -138, -137, -136?
-135
What is the next term in 6, -6, -56, -168, -366?
-674
What comes next: 26, 38, 48, 56, 62, 66, 68?
68
What is the next term in -1753, -1752, -1751, -1750?
-1749
What is the next term in 253, 262, 275, 292?
313
What comes next: -359, -728, -1087, -1430, -1751, -2044?
-2303
What is next in 109, 218, 327, 436, 545?
654
What comes next: -16, -2, 56, 182, 400, 734, 1208, 1846?
2672
What comes next: -595, -585, -561, -517, -447?
-345
What comes next: 103, 144, 213, 310, 435, 588, 769?
978
What is the next term in -49, -48, -49, -52?
-57
What is the next term in -15, 54, 243, 612, 1221, 2130?
|
{
"pile_set_name": "DM Mathematics"
}
|
of v(f). What is o(2)?
-3
Suppose -3*x = -4*y - 14 - 26, 0 = -5*y - x - 31. Let r(n) = -2*n**2 - 13*n - 1. Determine r(y).
-8
Let c(l) = -2*l**3 - 6*l**2 - 2*l + 2. Let o be c(-3). Let j be -3 - (3 - (o + -2)). Let b(u) = j*u + u**2 - 2*u - 2*u**2 - 1. Calculate b(-1).
0
Let n(m) = -5*m**3 + 9*m**2 + 9*m - 33. Let g(k) = -k**3 + 2*k**2 + 2*k - 8. Let u(l) = 9*g(l) - 2*n(l). Let p be 0/2*4/8. What is u(p)?
-6
Let w(v) be the first derivative of v**2/2 - 2*v + 2. Suppose -11*x + 15*x = 52. Suppose -x*z = -14*z. Calculate w(z).
-2
Let l(z) = 2*z + 3. Let b(u) = -u**3 - 6*u**2 + 7*u + 5. Let w be b(-7). Suppose -w*k = 11 + 4. Calculate l(k).
-3
Let t be -58*(28/8 + -4). Let v(k) = -18 - 5*k + t + 4*k + 2*k. Determine v(0).
11
Let v be -1 + -1 + 1 + 6. Suppose v*g = 1 + 9. Let n(x) be the first derivative of -x**4/4 + 2*x**3/3 + x - 1045. What is n(g)?
1
Let r(u) = 15*u - 7*u - 28 + 20 - 45. Let o be r(6). Let l(k) = k**3 + 7*k**2 + 6*k - 1. What is l(o)?
19
Let m(l) = -57*l + 337. Let r be m(6). Let h(g) be the first derivative of g**4/4 + 2*g**3 + 5*g**2/2 + 2*g + 1. Give h(r).
2
Let n(x) = -2*x**2 - 31*x - 112. Let w be n(-10). Let g(q) = 5*q + 5. What is g(w)?
-5
Let n(h) = 10*h**2 - h**3 + 3*h**3 - 13*h**2 + 4*h**3 - 3 - 5*h**3. Calculate n(3).
-3
Let v(u) = 5 - 2 + 0 + u. Suppose -4*c - 4*a = 20, 3*c - 28*a = -26*a. Calculate v(c).
1
Let y be 6/(-4) - (-98)/(-196). Let r(k) be the second derivative of -2*k + k**2 + 0 + 2/3*k**3. Determine r(y).
-6
Suppose t + 2 = z - 0*t, -5*z = 4*t + 26. Let q(k) = k + k + 7*k - 3*k**2 + 1 - 6*k - k**3 - 4*k. Calculate q(z).
-1
Let t be ((-2)/(-4))/((-1)/2). Let k(y) = -y**3 - 2*y**2 + 7*y + 6. Let d be k(-4). Let g(s) = 9*s - d*s + 8*s + 2 - 3. Determine g(t).
-8
Let p(r) = r**3 + 4*r**2 - 3*r + 6. Let k = 362 - 367. Determine p(k).
-4
Suppose 0 = -2*c + x + 7 + 4, 4*c + x = 25. Let n(p) = -2*p**2 + 6*p + 2. Give n(c).
-34
Let o(d) = d + 30. Suppose -33*w = -10*w + 529. Calculate o(w).
7
Suppose 2*b - 5*b = 3. Let f(v) be the third derivative of -14*v**2 + 0*v + 1/6*v**3 - 1/12*v**4 + 0. Determine f(b).
3
Let k(i) = -i + 2. Let s(x) = 2. Let v(z) = 3*k(z) - 2*s(z). Let p(f) = f**3 - 14*f**2 + 35*f - 19. Let a be p(11). Calculate v(a).
-7
Let l(y) = 42. Let r(v) = -2*v + 40. Let u(w) = 4*l(w) - 3*r(w). Calculate u(-7).
6
Let a(s) = -2*s - 2. Let n = -239 - -242. Give a(n).
-8
Suppose -68 = -4*d - 52. Let i(b) = -2 + d*b - 2 + 7. Calculate i(3).
15
Let z(l) = -4*l**2 - 4*l + 3. Let r(o) be the first derivative of -o**2/2 + o + 5. Let j(n) = 6*r(n) - z(n). Determine j(2).
15
Let j(y) be the first derivative of y**2/2 - 4*y - 100. Calculate j(-5).
-9
Let q = 4 - 3. Suppose 0 = -3*u + 5*p - 10, 5*u + 4*p = -30 + q. Let v(a) = 2*a + 3. What is v(u)?
-7
Let f(x) = 12*x - 478 - x**2 - 4*x + 470. Let z be (-58)/(-8) + (-2)/8. Give f(z).
-1
Let x(j) = -j**3 - 9*j**2 - j + 11. Let g be 315/(-42) - 3/2. What is x(g)?
20
Let d(w) be the second derivative of w**6/180 - w**5/60 + w**4/24 + 5*w**3/6 - 23*w. Let s(j) be the second derivative of d(j). Let t = 0 + 1. What is s(t)?
1
Let d(v) be the third derivative of -v**6/120 - v**5/12 + v**3 - 2*v**2. Let s be (2 + 1)*8/12. Suppose s*y + 3*y + 25 = 0. Calculate d(y).
6
Let a = 48 + -45. Let m(w) = -11*w**a + w**2 + 6*w + 2 - 2*w - 2*w - 1. Give m(-1).
11
Let u(s) be the first derivative of -s**6/40 - s**5/60 + s**4/24 + s**2 + 1. Let w(r) be the second derivative of u(r). Let n = -8 + 9. What is w(n)?
-3
Let z(b) be the second derivative of -b**4/12 - b**3/3 - b**2 - b - 57. Calculate z(-3).
-5
Let s be -3*1 - (-8 - -5). Suppose s = -5*f - 3*h - 5, 2*f + 3*h - 1 = -12. Let u(a) = -10*a + 2. Calculate u(f).
-18
Suppose 5*m - 9 = -d + 3*m, 4*d - 4*m = 24. Let b(i) = i**3 - 8*i**2 + 9*i + 1. Determine b(d).
15
Let m(l) = 48 + l**3 - 99 + 0*l + 49 + 3*l - 4*l**2. Suppose 3*x - 3*g = 27, 1 = x + g + 2. What is m(x)?
10
Let j(l) = -11*l**2 + 5*l - 7. Let g(r) = 5*r**2 - 2*r + 3. Let p(b) = 5*g(b) + 2*j(b). Let s = -129 + 131. Give p(s).
13
Let h(x) = -23*x**2 - x. Suppose -11*j - 1 - 10 = 0. Determine h(j).
-22
Let b(w) = -16*w + 3*w**2 + 22 + 0*w**2 - 2*w**2 + 2*w. Determine b(12).
-2
Let o(d) = 2*d - 3*d - 5*d**2 - 1 + 8*d**2 + 4*d**2 - 4*d**2. Suppose -4*n - 2*j - 7 - 3 = 0, -3*j - 1 = -n. Determine o(n).
13
Suppose 5*r + 5 = -35. Let w be (-3 + r/(-2))*0. Suppose 3*q + 5*v + 20 = 0, w*q - 4*q = 2*v + 22. Let o(n) = 3*n + 3. What is o(q)?
-12
Let j(k) = -k**2 - 5*k - 7. Let g be j(-4). Let n(f) be the first derivative of -f**3/3 - 2*f**2 - 2*f - 7. What is n(g)?
1
Let c(l) = 0 - 3 - 2 + 5 + 4*l + 3. Let s(b) = -b - 8. Let g be s(-4). What is c(g)?
-13
Suppose -2*n + 22 = 5*m, -3*m = -0*m - 4*n - 8. Let b(c) be the first derivative of -1/4*c**m - 2/3*c**3 + 9 - c + 2*c**2. Calculate b(-3).
-4
Suppose -3*b = 3*i + 5 - 35, 3*i + 6 = 3*b. Let a(n) = n - 9. Give a(b).
-3
Suppose -2*g = -4*i + 40, i = -4*g - 13 + 32. Suppose 2*p = i - 3. Let z(k) = -k**3 + 5*k**2 - 3*k - 5. Determine z(p).
-1
Let i be 1*2 - (-12)/4. Let f(c) = -1 + i*c**3 + 3*c**3 + 2*c + 0*c. Suppose -8*k = 4*o - 6*k, 4*o = k + 6. Calculate f(o).
9
Let h(c) = -c**2 - 3*c - 1. Let p = -11 - -12. Suppose 2*f = -5 - p. What is h(f)?
-1
Suppose -3*c + 1180 = -4*j, -c - 197 = -4*j - 593. Let o(p) = -c*p**2 + 387*p**2 - 5*p + 4 + p**3 - 5. Determine o(6).
5
Let o(b) = 2*b - 4. Suppose -7*v = -298 - 206. Let k = -69 + v. What is o(k)?
2
Let m(x) = x**2 + 12*x + 10. Let s be ((-38)/(-76))/((-1)/22). Determine m(s).
-1
Let t(a) = -3 + 8*a**2 - 29*a**2 + 23*a**2 - 4*a + a**3. Determine t(-3).
0
Let b(a) = a**2 - 7*a - 2. Let d = 20 + -17. Suppose d*w - p = -0*p + 18, -w + 4*p = 5. Calculate b(w).
-2
Let c(l) = -21*l**2 + 10*l**2 + 10*l**2 + 7 + 3*l. Give c(5).
-3
Let u(c) = 9 + 3*c - 207*c**3 + c**2 - 6*c**2 + 0*c**2 + 206*c**3 - 2*c. Determine u(-4).
-11
Let x(a) = a**2 - 11*a + 12. Suppose d - 4 = -4*t, -5*t = -2*d - 9 + 4. Suppose v + 2*j + t = 2, 2*v + 5*j = -2. Determine x(v).
-6
Let r = 832 + -830. Let b(t) = 3*t**3 - 5*t**2 + 2*t - 1. Give b(r).
7
Let u be 4 + (2 - (-12)/(-3)) - -7. Let s(j) = -2*j + 8. Calculate s(u).
-10
Let p(s) be the second derivative of -s - s**2 - 2/3*s**3 + 0. Suppose 6*d + 2 = 5*d. What is p(d)?
6
Let y(j) be the third derivative of 1/8*j**4 + 0*j - 13*j**2 + 1/2*j**3 + 0. Determine y(-3).
-6
Let f(m) be the second derivative of -m**3/2 + 3*m**2 - 15*m. What is f(-5)?
21
Suppose -11*r + 5*r = -54. Let k(w) = 14 - 3*w + w - r. What is k(4)?
-3
Let v be 780/108 + 4/(-18). Let q(t) = -5*t**3 + 4*t**2 - 12*t + 2. Let o(c) = -9*c**3 + 9*c**2 - 23*c + 3. Let b(x) = -4*o(x) + 7*q(x). Give b(v).
9
Let u = -2402 + 2393. Let b(s) = 9*s - 1. Give b(u).
-82
Let h(o) = 3*o**3 - o. Let d(v) = -3*v + 34. Suppose -8*w = -58 - 30. Let t be d(w). What is h(t)?
2
Suppose -5*o = 3*r + 7 + 5, 5*o + 20 = 5*r. Let y(t) be the third derivative of -t**6/30 - t**5/30 + t**4/24 - 2*t**2 - 15. Give y(r).
-5
Let j(f) = 9*f**2 + 26*f + 6 - 24*f - 8*f**2. Determine j(-6).
30
Let n = -34 - -36. Let a(k) = -5*k + 10*k**2 - 8*k**n - k**2 - 1 - 2. Determine a(4).
-7
Let n(u) = -1 - 4 + 2 + 2. Let f(q) = 2*q + 1. Let o(b) = f(b) - 4*n(b). Calculate o(-4).
-3
Let y(b) be the first derivative of -3*b**2 - 21 + 1/3*b**3 - 7*b. Calculate y(5).
-12
Let f(z) = -2*z - 4. Let w(h) = -2*h**3 - h**2 + h - 9. Let u be w(-3). Let v = u + -27. Calculate f(v).
-16
Suppose -4*b + 8 = -2*j - 2*j, j - 34 = -5*b. Let c be (-8)/20 - -4 - 2/(-5). Let x(w) = -c + 230*w**2 + 3*w - 231*w**2 + 3*w. Determine x(b).
-4
Let x(p) be the third derivative of p**4/4 - p**3/6 + p**2. Let i(j) = 5*j. Let u(o) = 5*i(o) - 4*x(o). Let y(v) = v**2 + 17*v + 33. Let w be y(-15). Give u(w).
7
Suppose -14 = 2*l + n, 5*l + 28 = 4*n + 6. Let c(s) = -3*s**2 + 1 - 7*s - 3 + 2*s**2. Calculate c(l).
4
Let i(a) = -a**2 - 2*a. Let u be ((-8)/(-12))/(8/36). Suppose 0 = -4*n + u*z - 82, 2*z = -5*n - 50 - 41. Let r = n - -15. Determine i(r).
-8
Let w(v) = -10*v**2 - v + 1. Suppose 0 = 4*z - 2*r - 6, 2*r = -2*z + r + 1. Determine w(z).
-10
Let z(y) be the second derivative of y**4/12 - y**3/2 - y**2 - 49*y + 2. What is z(3)?
-2
Let s(q) = -2*q**2 - 4*q + 20. Let m(j) = 5*j**2 + 9*j - 39. Let w(y) = -3*m(y) - 7*s(y). Let z(o) be the first derivative of w(o). Let l = 8 + -6.
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of sequence czqt when four letters picked without replacement from {c: 1, z: 1, w: 5, t: 6, s: 1, q: 2}?
1/3640
Four letters picked without replacement from xiiiiiiixiidxii. Give prob of sequence idxi.
11/1092
Four letters picked without replacement from {h: 4, l: 2, j: 1, g: 1, a: 3}. Give prob of sequence hgah.
1/220
Three letters picked without replacement from xmlenxnyxxxxxxx. What is prob of sequence xmx?
12/455
Calculate prob of sequence gxxg when four letters picked without replacement from {g: 2, p: 4, x: 2}.
1/420
What is prob of sequence qx when two letters picked without replacement from {x: 1, i: 1, q: 3}?
3/20
Three letters picked without replacement from yyyyjzyyyzzyjyyyy. What is prob of sequence jzj?
1/680
Two letters picked without replacement from qqqssqqsqqsqs. Give prob of sequence sq.
10/39
Three letters picked without replacement from {v: 1, d: 1, y: 2, z: 5}. What is prob of sequence ydz?
5/252
What is prob of sequence rc when two letters picked without replacement from {v: 4, n: 1, r: 3, c: 5, u: 1}?
15/182
What is prob of sequence giig when four letters picked without replacement from {z: 4, m: 3, h: 3, g: 2, i: 6}?
1/1224
Three letters picked without replacement from byjnq. Give prob of sequence jny.
1/60
Four letters picked without replacement from {m: 3, q: 5}. What is prob of sequence mqmq?
1/14
What is prob of sequence rmmt when four letters picked without replacement from {d: 3, m: 5, r: 1, f: 1, b: 2, t: 3}?
1/546
Two letters picked without replacement from fuwrh. What is prob of sequence hr?
1/20
Calculate prob of sequence cxuu when four letters picked without replacement from {t: 2, c: 3, e: 1, k: 7, u: 3, x: 2}.
1/2040
Three letters picked without replacement from zzhlhlzhllzll. Give prob of sequence lll.
10/143
Two letters picked without replacement from iciierr. What is prob of sequence ic?
1/14
What is prob of sequence xq when two letters picked without replacement from qqqxxxqxqqq?
14/55
Three letters picked without replacement from {p: 5, c: 2, n: 4}. What is prob of sequence nnp?
2/33
Calculate prob of sequence mecc when four letters picked without replacement from mmmmmmeeemcmcmeeeee.
1/646
Four letters picked without replacement from {o: 1, z: 3, k: 5}. Give prob of sequence okzo.
0
What is prob of sequence ccc when three letters picked without replacement from xxccc?
1/10
Calculate prob of sequence fff when three letters picked without replacement from {l: 2, y: 9, u: 1, f: 8}.
14/285
What is prob of sequence tdt when three letters picked without replacement from {d: 3, t: 5}?
5/28
Calculate prob of sequence fta when three letters picked without replacement from {k: 2, a: 1, f: 2, z: 1, q: 2, t: 5}.
5/858
What is prob of sequence rrt when three letters picked without replacement from {r: 3, t: 5}?
5/56
What is prob of sequence ffs when three letters picked without replacement from {t: 7, f: 2, s: 3, n: 3}?
1/455
What is prob of sequence mm when two letters picked without replacement from nmnmchycyccmncyyyhyy?
3/190
What is prob of sequence cec when three letters picked without replacement from cchqyeqhw?
1/252
Three letters picked without replacement from qdddedq. What is prob of sequence ddq?
4/35
Calculate prob of sequence edbe when four letters picked without replacement from dddjedddjedbeeebqj.
7/1836
What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjj?
1
Two letters picked without replacement from yyyyy. Give prob of sequence yy.
1
Four letters picked without replacement from {k: 1, x: 3}. Give prob of sequence xxkx.
1/4
Calculate prob of sequence mm when two letters picked without replacement from {f: 1, t: 3, y: 4, w: 2, x: 3, m: 2}.
1/105
Two letters picked without replacement from oyzbmozubzzo. What is prob of sequence mo?
1/44
Two letters picked without replacement from {g: 1, v: 4, p: 3, e: 4, c: 1, i: 5}. Give prob of sequence ip.
5/102
Three letters picked without replacement from ddqqddmqdm. What is prob of sequence dmq?
1/24
Three letters picked without replacement from zgifiiigzzgizzi. Give prob of sequence zfz.
2/273
Two letters picked without replacement from {a: 4, w: 3, k: 1}. What is prob of sequence kw?
3/56
What is prob of sequence lh when two letters picked without replacement from lhhllhlhlllhhllhlhhh?
5/19
What is prob of sequence qq when two letters picked without replacement from {q: 4, r: 7}?
6/55
Three letters picked without replacement from {o: 1, q: 2, d: 1, j: 1, r: 1, e: 2}. Give prob of sequence dqo.
1/168
Two letters picked without replacement from {e: 7, g: 1}. Give prob of sequence ge.
1/8
What is prob of sequence ddb when three letters picked without replacement from {b: 6, d: 4}?
1/10
Calculate prob of sequence jbh when three letters picked without replacement from {o: 1, h: 3, w: 2, b: 4, j: 2}.
1/55
What is prob of sequence hvh when three letters picked without replacement from hhhhhhvv?
5/28
Four letters picked without replacement from ezgggeegeegemeggge. Give prob of sequence gzee.
14/2295
Three letters picked without replacement from {u: 2, z: 1, t: 1, h: 2}. Give prob of sequence utz.
1/60
What is prob of sequence nxtv when four letters picked without replacement from {h: 3, x: 1, n: 6, v: 2, t: 5}?
1/952
Calculate prob of sequence fgf when three letters picked without replacement from {g: 5, i: 4, x: 1, f: 8}.
35/612
Calculate prob of sequence vd when two letters picked without replacement from {d: 9, v: 7}.
21/80
Four letters picked without replacement from vxnyvgy. What is prob of sequence xyny?
1/420
Two letters picked without replacement from aab. Give prob of sequence ba.
1/3
Four letters picked without replacement from vyeeevveeevceypevv. Give prob of sequence vyep.
1/765
Two letters picked without replacement from dbdel. What is prob of sequence le?
1/20
Two letters picked without replacement from {f: 2, g: 1, c: 1}. Give prob of sequence fc.
1/6
What is prob of sequence ohoo when four letters picked without replacement from hhhooohhooooo?
14/143
Four letters picked without replacement from mcccccccccmccccccc. What is prob of sequence cccm?
14/153
Calculate prob of sequence aqq when three letters picked without replacement from {q: 6, a: 1, i: 7}.
5/364
Calculate prob of sequence wt when two letters picked without replacement from {t: 7, w: 3, y: 2, a: 3, h: 5}.
21/380
What is prob of sequence mg when two letters picked without replacement from {g: 8, m: 3}?
12/55
Three letters picked without replacement from ccmccm. Give prob of sequence mcm.
1/15
Calculate prob of sequence cng when three letters picked without replacement from gcfcgccgcvfn.
1/88
Four letters picked without replacement from occoeoevoexocoxe. What is prob of sequence ocxv?
3/3640
Calculate prob of sequence wj when two letters picked without replacement from {m: 10, j: 4, w: 5}.
10/171
Two letters picked without replacement from xtggggggg. What is prob of sequence gx?
7/72
Two letters picked without replacement from {h: 1, j: 2, m: 1, x: 1, i: 1, t: 1}. What is prob of sequence xi?
1/42
Two letters picked without replacement from dddtdfddddtf. Give prob of sequence tt.
1/66
Two letters picked without replacement from {h: 2, s: 2, l: 1, a: 1, i: 1, g: 2}. What is prob of sequence gs?
1/18
Four letters picked without replacement from uedqu. Give prob of sequence dqqe.
0
What is prob of sequence ri when two letters picked without replacement from {h: 2, i: 2, w: 1, r: 2, t: 1}?
1/14
Three letters picked without replacement from zzzmzzggg. What is prob of sequence mgz?
5/168
Four letters picked without replacement from zqpqqzzqzchhzpippz. Give prob of sequence cipp.
1/6120
Four letters picked without replacement from {p: 8, a: 1, b: 8}. Give prob of sequence bpbp.
14/255
What is prob of sequence iir when three letters picked without replacement from {r: 1, e: 3, m: 1, z: 1, p: 4, i: 4}?
1/182
Calculate prob of sequence pppa when four letters picked without replacement from ppppppapppappppppppp.
8/95
Calculate prob of sequence ur when two letters picked without replacement from {s: 8, r: 1, g: 1, e: 4, u: 1, l: 1}.
1/240
Two letters picked without replacement from {p: 2, c: 1, j: 2, f: 2, d: 2, y: 5}. What is prob of sequence fc?
1/91
Thre
|
{
"pile_set_name": "DM Mathematics"
}
|
of -5541090*s**5 + 10*s**4 - 35114149*s?
-110821800*s**3 + 120*s**2
What is the second derivative of 27780754*j**5 + 2*j**3 - 101968810*j wrt j?
555615080*j**3 + 12*j
Differentiate -4*c*s - 1670898*c + 21717264*s with respect to c.
-4*s - 1670898
Find the second derivative of -a**2*i**2*m - 3997*a**2*i**2 + 3*a**2 - 14*a*i**2*m - 4*a*i - 2*i*m - 7*i - 473*m - 4 wrt i.
-2*a**2*m - 7994*a**2 - 28*a*m
Find the second derivative of 23*c**5 + 99*c**4 + c**3 + 4*c**2 + 24397774*c.
460*c**3 + 1188*c**2 + 6*c + 8
Find the second derivative of -8*b*k**2*o**2*w + 5967514*b*k**2*w**2 - 5*b*k*o*w + 2466*k*o**2 + 2*k*o*w - 2*o**2*w**2 - 56*o**2*w + 5*o*w**2 wrt k.
-16*b*o**2*w + 11935028*b*w**2
What is the second derivative of -j*x**5 + 5082267*j*x**4 - j*x - 40*x - 33653 wrt x?
-20*j*x**3 + 60987204*j*x**2
What is the second derivative of -d*y**3 + 2*d*y**2 - 2*d - 163416*y**3 - 4*y**2 - 115672046*y wrt y?
-6*d*y + 4*d - 980496*y - 8
What is the third derivative of -4550012*m*v**3 - 155298*m - 10*v**2 wrt v?
-27300072*m
What is the first derivative of 986*g*u**2 + 237*g - 8238*u**2 + 17624 wrt u?
1972*g*u - 16476*u
Find the third derivative of -76496*m**4*y + 186*m**3*y - 489*m**2*y + m**2 - 117*m - 45*y wrt m.
-1835904*m*y + 1116*y
What is the third derivative of 183038*f**4 - 538*f**3 - 55*f**2 + 126*f + 103 wrt f?
4392912*f - 3228
Find the third derivative of -3833555*w**3 + 3*w**2 - 233*w + 32541 wrt w.
-23001330
What is the second derivative of -34385809*d**4*v**2 - 357*d*v**2 - 166*d*v - 34*v**2 - 4*v wrt d?
-412629708*d**2*v**2
What is the derivative of 4*a*b*i + 11873*a*b - 25640791*b*i + 4313*b - 3 wrt i?
4*a*b - 25640791*b
Differentiate -26*a*j**3 - a*j**2 - 522*a*j - 64*a - 1239*j**3 - 8*j + 2 wrt a.
-26*j**3 - j**2 - 522*j - 64
What is the third derivative of -45924*f**6 - 1135*f**3*s**2 + 2*f**2*s**2 - f*s**2 - 16146255*f - s**2 wrt f?
-5510880*f**3 - 6810*s**2
Find the first derivative of -11031952*y - 7102271.
-11031952
What is the second derivative of -4509854*q**4 + 1107932*q wrt q?
-54118248*q**2
Find the third derivative of 1805067*o**4 - o**3 + 29234872*o**2.
43321608*o - 6
Differentiate 3713662*z**3 - 4147753 wrt z.
11140986*z**2
What is the third derivative of -1194*d**4 + 476*d**3 + 30*d**2 + 8221*d wrt d?
-28656*d + 2856
Find the third derivative of 87531*a**4 - 17*a**3 + 6257754*a**2.
2100744*a - 102
Find the third derivative of -9123*a**4 - 2576*a**3 - a**2 - 10*a - 959467 wrt a.
-218952*a - 15456
Find the third derivative of -4*q**5 - q**4 - 25257*q**3 + 57016*q**2 - 51*q.
-240*q**2 - 24*q - 151542
What is the second derivative of -124101360*j**3 - 93785026*j - 2 wrt j?
-744608160*j
What is the second derivative of -77701*m**5 + 2*m + 536815 wrt m?
-1554020*m**3
Find the third derivative of -241543377*w**4 + 95278*w**2 + 11.
-5797041048*w
What is the third derivative of 2208*u**6 - 46*u**5 - 1601849*u**2 wrt u?
264960*u**3 - 2760*u**2
Differentiate 77523604*n + 42947692 with respect to n.
77523604
What is the derivative of -2*d**2 - 100021679*d - 941956671?
-4*d - 100021679
Find the first derivative of -45987432*u - 46476 wrt u.
-45987432
What is the third derivative of -26*n**6 - 122248*n**3 + n**2 - 11843433 wrt n?
-3120*n**3 - 733488
Find the first derivative of 79*v**4 + 122*v**3 + 463*v + 10589425 wrt v.
316*v**3 + 366*v**2 + 463
What is the third derivative of h**6*t**2 + 22398767*h**3*t**3 - 6166735*h**2*t**3 + h**2 wrt h?
120*h**3*t**2 + 134392602*t**3
What is the third derivative of -269*a*f*w**3*z + 107*a*f*w**2 - 381936*a*w**3*z + 93*a*w**2*z - 2*a*z + 48*f*w**2 + 9*f*w*z wrt w?
-1614*a*f*z - 2291616*a*z
Find the first derivative of g*m + 14172912*g - 76653025*m wrt g.
m + 14172912
Find the second derivative of 69042762*o**5 - 236742*o + 12 wrt o.
1380855240*o**3
Find the third derivative of -75*l**2*r**3 + 3*l**2*r**2 - 3*l**2*r + 3*l**2 + 7*l*r + 5496824*r**3 + 6*r**2 + 29887 wrt r.
-450*l**2 + 32980944
Differentiate -15436906*w**2 + 11849801 with respect to w.
-30873812*w
Find the second derivative of -9588004*i**2*t - 6*i**2 + 12427553*i*t - i wrt i.
-19176008*t - 12
Find the first derivative of -2045*n*o**2 - 8349*n*o*q + o**2 + 2349*o*q - 5321*o wrt n.
-2045*o**2 - 8349*o*q
What is the third derivative of 11708309*j**5 - 9*j**2 - 24776*j + 10?
702498540*j**2
Find the second derivative of -657143026*k**2 - 729774585*k wrt k.
-1314286052
What is the third derivative of -4832*b**3*k*z + 164*b**3*k + 5*b**3*z - 6*b**2*z + 62*b**2 - 2*b*k + 40269*k*z wrt b?
-28992*k*z + 984*k + 30*z
What is the second derivative of -846279*b**4*m - b**3*m - 27247*b*m - 77*b wrt b?
-10155348*b**2*m - 6*b*m
Differentiate -572999*g**3*n*y**2 + g**3*y**2 - 490*g**3*y + 329*g**2*y**2 - g*y**2 with respect to n.
-572999*g**3*y**2
Find the third derivative of 306*g**3*h*o + 587*g**3*o + 18*g**3 - 3*g**2*h*o + 43*g**2*o - 71*g*h*o + 4*h - 33*o wrt g.
1836*h*o + 3522*o + 108
What is the third derivative of -447473*h**3*z**3 + 86*h**3 - h**2*z**3 - 188545585*h**2 wrt h?
-2684838*z**3 + 516
What is the first derivative of 2*p*z**2 - 22*p*z - 3*p + 148*z**2 + 20*z - 135489 wrt z?
4*p*z - 22*p + 296*z + 20
Find the second derivative of 2484241*s**3 - 16332269*s.
14905446*s
What is the derivative of -176438397*a + 152486960?
-176438397
What is the second derivative of -26730562*q**2 + 919675*q wrt q?
-53461124
Find the second derivative of -6456896*f**2*t**2 - 2*f**2*t - 5*f*t + 10*f - 39*t - 5 wrt t.
-12913792*f**2
Find the third derivative of -838830954*x**4 - x**2 + 37072673*x + 2.
-20131942896*x
Find the third derivative of 21*c**2*i**3 + 2*c**2*i**2 - c**2*i - 1133381*c*i**3 - 28*c*i + 2*i**3 + i**2 + 13772*i wrt i.
126*c**2 - 6800286*c + 12
What is the first derivative of 40618*k**4*n**2 + 62*k**4 + 18032674*n**2 wrt k?
162472*k**3*n**2 + 248*k**3
Find the third derivative of 16814283*f**3*k**6 - 11*f**3*k + 190132*f**3 - 12*f*k**2 wrt k.
2017713960*f**3*k**3
Find the third derivative of 26889968*p**3 - 504*p**2 - 9811*p wrt p.
161339808
What is the third derivative of 2152*b**2*s**6 - 1773*b**2*s**3 + 35446*b**2*s**2 + 3*b*s**2 + 3*b*s wrt s?
258240*b**2*s**3 - 10638*b**2
What is the second derivative of 17150367*q**3 - 9439547*q?
102902202*q
Differentiate -283*d**3*g + 14*d**3 + d**2*g - 87*d*g + 4897*d + 14 wrt g.
-283*d**3 + d**2 - 87*d
What is the second derivative of 2*n**2*p**2 + 7*n**2*p + 788*n**2 - 1876*n*p**3 + 217*n*p - 38*p**4 wrt p?
4*n**2 - 11256*n*p - 456*p**2
Differentiate 3336938*k**3*x + 990916*x + 3 wrt k.
10010814*k**2*x
What is the second derivative of 40012*o**2*x**4 + 755*o**2*x - 2423*o*x + 13*x**5 wrt x?
480144*o**2*x**2 + 260*x**3
What is the first derivative of 44942703*i + 55233647 wrt i?
44942703
Find the third derivative of -27474302*s**5 + 9838577*s**2.
-1648458120*s**2
What is the second derivative of 138578013*w**2*z**2 + w**2*z - 2*w**2 - 15*w*z**2 + 3698149*w - 2 wrt w?
277156026*z**2 + 2*z - 4
Find the second derivative of 3*f**4 - 120928*f**2 + 139074*f - 5 wrt f.
36*f**2 - 241856
What is the third derivative of 2050609*r**6 + 3316885*r**2 + 1 wrt r?
246073080*r**3
What is the third derivative of -27973658*j**4 + 1132257*j**2 + 134*j?
-671367792*j
Differentiate -3*a**2*t - 1337496775*a**2 - 54038792*t with respect to t.
-3*a**2 - 54038792
What is the third derivative of -138779167*n**3 - 6352123*n**2 - 2*n - 3 wrt n?
-832675002
Find the second derivative of 24400*h**2*u**2 + 2166*h**2*u + 2217*h**2 + 13*h*u**2 wrt u.
48800*h**2 + 26*h
Find the second derivative of 89620547*d**2 + 5*d - 1575925.
179241094
What is the third derivative of 74*l**6*o**2 + 361828*l**6 + 3*l**2*o**2 + l**2 + 2*l*o + 138892*l + 1 wrt l?
8880*l**3*o**2 + 43419360*l**3
What is the second derivative of 92314*s**3 - 308*s**2 - 61689747*s?
553884*s - 616
What is the third derivative of -15778747*q**3 + 49071366*q**2?
-94672482
What is the derivative of -7*k**4 + 14*k**3 - 46*k**2 - 6091534?
-28*k**3 + 42*k**2 - 92*k
What is the first derivative of 4238369*u + 6679566?
4238369
What is the second derivative of 38*g**2*i*p + 4886749*g**2*p**3 + 16*g*i - 35*g*p**3 - 44285*i*p**3 - 2*i*p wrt g?
76*i*p + 9773498*p**3
What is the derivative of -2*p**4 + 113*p**3 + 378*p**2 - 5315274?
-8*p**3 + 339*p**2 + 756*p
Find the third derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
units digit of g(-31)?
6
Let s(i) = 20*i + 12*i**2 + 5*i**2 - 24*i**2 + 23 + 8*i**2. What is the hundreds digit of s(11)?
3
Let b = -21182 + 38062. What is the thousands digit of b?
6
Let r = -72 - -76. Let z(d) = 288*d**2 + 8*d - 13. Let s(x) = 144*x**2 + 4*x - 7. Let j(g) = r*z(g) - 7*s(g). What is the hundreds digit of j(1)?
1
Let i(b) = 2*b - 280. Let f(s) = s - 186. Let g(m) = 7*f(m) - 5*i(m). What is the tens digit of g(-8)?
2
Suppose 5*m = -m + 1092. Let g = 720 - m. What is the hundreds digit of g?
5
Suppose -4*j + 6*j + 12 = 0. Let r(v) = -v**3 - v**2 + v - 168. Let b(h) = -h**3 - h**2 + h - 168. Let m(o) = j*b(o) + 5*r(o). What is the units digit of m(0)?
8
Suppose -9*m - 5*n + 4595 = -4*m, 5*n = m - 907. What is the tens digit of m?
1
Let m(i) = i**3 - 5*i**2 - i - 4. Let o be m(5). Let b(l) = -115*l - 12. What is the tens digit of b(o)?
2
Let u(t) = 189*t**2 + 48*t - 389. What is the thousands digit of u(6)?
6
Suppose -l - 3*n - 1449 = -4349, 2*l = -n + 5810. What is the tens digit of l?
0
Let l(n) = -2*n + 19. Suppose 11*a - 8*a - 24 = 0. Let b be l(a). Suppose -s - 286 = -5*t + s, -b*s - 9 = 0. What is the tens digit of t?
5
Suppose 24*q + 2*i = 25*q - 487, -2*i = 2*q - 980. What is the units digit of 0/(10/(-5)) + q?
9
Let q(z) = -7*z + 69. Let t be q(10). What is the tens digit of (-2 + t)*(-3712)/48?
3
Let k = -174 - 62. Let t = k - -308. What is the tens digit of t?
7
Let z be (0 + -7)/(1/6). Let u = 46 + z. Suppose 2*p = -p + u*x + 170, -4*x = -4*p + 224. What is the units digit of p?
4
What is the hundreds digit of (-8 - 1025/125)/(1/(149*-5))?
0
Let o(n) = -3*n**3 - 3*n**2 + 4*n + 56. Suppose 4*j = 5*i - 19, -2*i + 9 + 1 = -2*j. What is the units digit of o(j)?
2
Suppose 1 = -5*t + 5*i + 6, 5*t = 3*i - 5. Let m be t/8 - (-266)/4. Suppose 7*b - m - 263 = 0. What is the units digit of b?
7
Let y be (0 - -1)/(-3) + (-80828)/(-132). Suppose 4*w - y = -5*w. Suppose w*x - 65*x = 861. What is the hundreds digit of x?
2
Suppose 4*k + m = 6*m + 30925, 5*m + 5 = 0. What is the tens digit of k?
3
Let l be ((7 - 15) + 7)/((-2)/20). Suppose 6*h - l*h = 0. Suppose -v + 6 - 2 = h, -v = 3*m - 349. What is the tens digit of m?
1
Let q(s) = -s**3 + 39*s**2 + 42*s - 80. Let w be q(40). What is the units digit of (w - 2/(-3))*(-189081)/(-298)?
3
Let g(v) = 7*v + 1960. Let k be g(0). Suppose -k = -t - 565. What is the hundreds digit of t?
3
Let n = 113 - -10. Suppose 334 = q + u, q - n - 221 = u. What is the tens digit of q?
3
Suppose p - 2*p + 5 = -h, 0 = 3*p - h - 9. What is the units digit of p/(16/(-236))*(-7 + 5)?
9
Let h(b) = 3*b**2 - 9*b - 9. Let u be h(4). Suppose 0 = -u*g + 2*f + 3*f + 4607, 0 = g - 2*f - 1535. What is the thousands digit of g?
1
Let p = -32 + 29. Let z = p + 0. What is the tens digit of (-10 + -65)*1/z?
2
Let i be 802/(-14) + 7*(-2)/(-49). Let n be 3 + (-46)/16 + i/8. Let z(c) = -c**3 - 8*c**2 - 8*c - 3. What is the units digit of z(n)?
4
Let w(b) be the first derivative of 5*b**3/3 - 5*b**2/2 + 19*b + 7. Let t be w(-13). Suppose 166 = 15*o - t. What is the tens digit of o?
7
What is the hundreds digit of ((-5)/((-10)/54963))/((-11 - -14)/6)?
9
Suppose 4*y + 2*w - 1600 = 0, -5*y + 4*w - 7*w + 1999 = 0. What is the units digit of y?
1
Let q(s) = 25*s**2 - 23*s - 246. What is the hundreds digit of q(37)?
1
Suppose 4*t - 5*l = -20, -4*t = -3*l + 3 + 9. Suppose t = -5*s + 20, 4*n + 756 = 8*n - 5*s. What is the tens digit of n?
9
Suppose -7*d = -3*d - 8. Let o(s) = -3*s + 8. Let u be o(d). Suppose -u*l + 315 - 95 = 0. What is the tens digit of l?
1
Let l = -56428 + 107465. What is the hundreds digit of l?
0
Let k(b) = 4*b**2 + 3*b + 23. Let x be k(-4). Suppose x - 240 = r. Let n = 245 + r. What is the tens digit of n?
8
Suppose 9*n = n - 18*n + 215696. What is the units digit of n?
6
Let l be ((-4)/(-6))/(92/12 + -7). Let o(a) = 4944*a**3 + 5*a**2 - a - 2. Let v be o(l). What is the hundreds digit of v/18 - 14/(-63)?
2
What is the tens digit of (-749)/2*(-12 + (-832)/(-91))?
7
Suppose -3012 = 2*k - q, -3*k + 2*q + 0*q - 4518 = 0. Let s = k - -2260. What is the tens digit of s?
5
Let b(q) = 8*q + 49. Suppose h + 4 = 0, 7*y - 80 = 3*y + 3*h. What is the tens digit of b(y)?
8
Let n = 60801 - 26338. What is the tens digit of n?
6
Let j = 9514 - -4092. What is the units digit of j?
6
Let l = 157 - 145. Suppose -l*t - 2*t = -3416. What is the hundreds digit of t?
2
Suppose 300*g - 351*g = -385050. What is the hundreds digit of g?
5
Let z be 106/22 - 2/(-11). Suppose -23 = -5*k + j, 0 = -z*k - 2*j + 14 - 0. Suppose 4*t + k = -8, 5*x = 4*t + 542. What is the hundreds digit of x?
1
Let o(k) = -k**3 - 9*k**2 - 5*k - 6. Let g be o(-8). What is the tens digit of (-48)/20*(-138)/(-24)*g?
1
Let g = 105805 + -69841. What is the units digit of g?
4
Let o(r) = -r - 94. Let d be o(11). Let k = d - -403. What is the tens digit of k?
9
Suppose 2*p - 3*u + 0 + 10 = 0, 4*p = -5*u + 2. Let x be ((-1)/p*(2 - 0))/(-1). What is the units digit of -20*(17/(-5) + (2 - x))?
8
Let g(q) = -q**3 + 7*q**2 + 7*q + 8. Let w = -33 - -41. Let y be g(w). Suppose y = u + 5*z - 176, -2*u = -z + 24 - 409. What is the hundreds digit of u?
1
What is the tens digit of 10636093/473 + (-6)/(-99)*9?
8
Let z be 0*((-12)/56 - (-2)/(-7)). Let q be z/(-2) - (-2 + -4). Suppose 3*x - q*x = -345. What is the hundreds digit of x?
1
What is the tens digit of (-658870)/(-26) + 974/(-6331)?
4
Let o(c) = -2*c + 57. Let q be o(28). What is the hundreds digit of ((-1323)/378)/(q + (-357)/356)?
2
Let u = 18607 - 10447. What is the hundreds digit of u?
1
Suppose -8584 = -2*z + 2*y, -98*z - 3*y + 12906 = -95*z. What is the hundreds digit of z?
2
Suppose -52835 - 14935 = -19*b + 4867. What is the units digit of b?
3
Suppose -4*g + 5*g + 89 = l, -2*g = -8. Let m = l + 345. What is the hundreds digit of m?
4
Let i be -9*(3 - 60/18). Suppose -2*v - 2*v + 1217 = 3*x, -i*v - 2*x = -914. What is the tens digit of v?
0
Let a be ((-2)/8 - 2)/(2/80). Let k = 142 + a. What is the tens digit of k?
5
What is the units digit of (1 - (-180)/(-15)) + 25752?
1
What is the hundreds digit of (-26)/(-10) + (-14445639)/(-585)?
6
Let k(s) = 937*s - 5*s**2 + 29 - 2*s**3 - 951*s + 37*s**2. What is the units digit of k(15)?
9
Let b = 123905 + -86549. What is the tens digit of b?
5
Suppose -v = 3*j + 331, 2*v + 0*v + 440 = -4*j. Let p = j - -231. Let l = p - 42. What is the units digit of l?
8
Let p be (72512/(-56) - -6) + (-6)/(-7). Let i = p - -2296. What is the units digit of i?
8
Let w(c) = -233*c**3 + 2*c**2 - 16*c + 20. What is the ten thousands digit of w(-6)?
5
Suppose -3*s - 3*c = -88938, 179*c = 3*s + 180*c - 88928. What is the hundreds digit of s?
6
Let q(w) = -5*w + 106. Let x be q(26). Let y(v) = v**3 + 24*v**2 - 14*v - 69. What is the tens digit of y(x)?
6
Let s be (-98)/(-34) - 42/(-357). Suppose 0 = 4*m + 16, -2*m = -s*b + m + 2133. What is the units digit of b?
7
Let m(c) be the second derivative of 7*c**4/6 - c**3/6 - c**2/2 - 37*c. Let q be m(4). Let x = q - 122. What is the units digit of x?
7
Suppose 2*j = -j + k + 10, 4*j + 4*k + 8 = 0. Let d be j + 1/4 + 27/(-12). Suppose 188 = -d*r + 4*r. What is the units digit of r?
7
Suppose 0 = -137*q + 134*q - 12. Let w(d) = 9*d**2 - 2*d - 29. What is the units digit of w(q)?
3
What is the tens digit of (-6*(4/(-4))/(-2))/((-183)/910303)?
2
Let g(z) = z - 1. Let m(s) = -194*s + 15. Let y(a) = -3*g(a) - m(a). What is the units digit of y(1)?
9
What is the hundreds digit of -8 + 16 - (-1305 + 2)?
3
Let r = 2327 + -94. Suppose -6*g = -4175 - r. What is the units digit of g?
8
Let c = -12637 - -13731. What is the hundreds digit of c?
0
Let t = 34839 - 25030. What is the thousands digit of t?
9
Suppose 0 = -87*m - 55*m + 710. Let w = 9 - 4. Suppose -m*i - 44 = -f, 7 + w = -3*i. What is the units digit of f?
4
Let i = 94 + -52. What is the tens digit of (-12180)/(-66) - i/77?
8
Suppose -20 = -4*y + 8*y, y + 41 = -3*t. What is the units digit of 10/(-30) + (-5452)/t?
4
What is the tens digit of 23 - (6 + 23) - (-31332 - -1)?
2
Suppose 0 = 3*w - 5*g + 6 + 95, g + 187 = -5*w. Let f = w + 40. Suppose -7 = f*z - 46. What is the units digit of z?
3
Let u = -1 - -6. Let i(a) = -9 + 85*a - 1 + u + 6. What is the units digit of i(2)?
1
Suppose -7*q - 7*q +
|
{
"pile_set_name": "DM Mathematics"
}
|
18. Suppose 3*i - m*l - 1288 = -10*l, i = -3*l + 440. List the prime factors of i.
2, 107
Let s(w) = 8*w**2 - 26*w**2 + 3*w**2 + 9*w**2 - 26*w + 9*w**2 + 76. List the prime factors of s(-14).
2, 257
Suppose -5*k = -9*k - 5*i + 20, 3*i - 12 = -3*k. Suppose 4*b - 2536 = 4*h, k*b - 2*b - 1922 = 3*h. Let j = -379 - h. List the prime factors of j.
7, 37
Let b = 24 - 30. Let q(g) = -g**2 - 6*g + 8. Let j be q(b). Suppose j = -4*i + 28. List the prime factors of i.
5
Let q = 9583 + -2907. What are the prime factors of q?
2, 1669
Suppose -7*w - 210392 = -63*w. Suppose 11*t - w = 71. List the prime factors of t.
2, 3, 29
Suppose -4 = r - 2*q, -4*r - q + 4*q = 1. Suppose 7*h - 2*h = -4*p + 2279, -r*p + 1146 = -4*h. List the prime factors of p.
571
Let g = -166 - -519. List the prime factors of (g/(-3))/(6/(6 + -24)).
353
Suppose -4 = 2*v - 8. Suppose -4*h - 4*l + 7 + 1 = 0, 2*h + 3*l - v = 0. Suppose -6 = -2*f, c + h*f = -c + 260. What are the prime factors of c?
2, 31
Let p be (0 - -1) + (-4)/(4/(-5)). Suppose 2*i - p = c, 5*i + c + 11 = 8*i. Suppose -k + 26 = -3*l, l = -i*k + 2*k + 108. List the prime factors of k.
5, 7
Let y(f) = -f**2 + 1. Let q(l) = 3*l**2 + l + 135. Let c(h) = q(h) + y(h). Suppose 4*u + 8*u = 0. List the prime factors of c(u).
2, 17
Let k = -18 - -24. List the prime factors of 424 - k - 20/(-4).
3, 47
Suppose -13*c + 89323 - 9633 = 0. List the prime factors of c.
2, 5, 613
Let b = 18408 - 15588. What are the prime factors of b?
2, 3, 5, 47
Let h(y) = -y**3 + 16*y**2 - 3*y + 32. Let g be h(16). Let z(q) = 2*q**2 + 17*q + 2. List the prime factors of z(g).
2, 11
Suppose -25*i - 22*i = -35*i - 143460. What are the prime factors of i?
3, 5, 797
Suppose -2*o = -5*m + 20, -4*m - o = -11 - 5. What are the prime factors of -2 - (-21 + m)*23?
389
Suppose -z - 16452 = -3*c + z, -21913 = -4*c - 5*z. List the prime factors of c.
2, 2741
Suppose -5*k = -494 + 469. What are the prime factors of 20/(-8)*(-58)/k?
29
Let x(f) = 2*f**3 - 9*f**2 - 112*f + 38. List the prime factors of x(18).
2, 5, 677
Let r = 16 + -11. Suppose r*a = -3*l - 250, 316 = -4*l + a + a. Let n = l - -166. What are the prime factors of n?
2, 43
Let r = 9881 + -6365. List the prime factors of r.
2, 3, 293
Let h(r) = r**3 + r**2 + r - 132. Let s be h(0). Let u be (s/(-55))/((-4)/(-30)). List the prime factors of ((-12)/u)/(4/(-18)) + 23.
2, 13
Let h(d) = 2*d**3 + d**2 - 101 + 205 - 97 - 5*d. What are the prime factors of h(5)?
257
Let n be (-1 - 2)/(6/(-20)*2). Suppose -966 = -4*l + 2*a - n*a, 0 = 5*l - 3*a - 1194. What are the prime factors of l?
2, 3, 5
Suppose 2*l + 4*w - 49702 = 0, -10*w + 5*w - 273280 = -11*l. What are the prime factors of l?
5, 4969
Suppose -o - 4*o + 25 = 0. Suppose -7*c + 811 = -3137. Suppose o*k - c = -k. What are the prime factors of k?
2, 47
Suppose -10*q + 67460 - 22093 + 90323 = 0. List the prime factors of q.
3, 4523
Let r = 97 - -15. Suppose -6 = 2*p, p = -4*c + r + 653. What are the prime factors of c?
2, 3
Suppose 8*c = -319 - 145. Let u = -43 - c. List the prime factors of 2158/u - (-2)/15.
2, 3
Let h(q) = q**3 - 41*q**2 + 314*q - 209. What are the prime factors of h(36)?
5, 13, 71
Suppose t = 5*m - 46146, -229*t = -3*m - 232*t + 27684. What are the prime factors of m?
11, 839
Suppose -2*o + 25 - 21 = 0. Suppose 2*y = 2*l - 3*l + 4, o*l - 9 = -5*y. Suppose -l*x + 84 + 188 = 4*r, -r + 62 = 2*x. What are the prime factors of r?
2, 5, 7
Suppose -15 = 5*o, w + 4*o = -0*w - 265. Let b be 4/(-14) + w/(-77). Suppose 5*f - 5*z - 180 = 0, 0*f - f + 30 = -b*z. List the prime factors of f.
3, 13
Let p(t) = -2*t**3 + 32*t**2 - 24*t + 1. What are the prime factors of p(11)?
947
Let f(a) = -5*a + 19. Let y(s) = -7*s - 26. Let i be y(-7). Let j be f(i). Let m = j - -223. List the prime factors of m.
127
List the prime factors of 1/((-14)/(-19060))*(17 + -2 + -8).
2, 5, 953
Let v(o) be the first derivative of -33*o**2/2 + 6*o + 1. Suppose 2*l = -3*x - 19, 15 = -x - 2*l - 3*l. List the prime factors of v(x).
3, 19
Suppose 13278 = 2*z - 4*t, 37*z + t - 26538 = 33*z. List the prime factors of z.
5, 1327
Suppose 5*p = -0*b + 2*b - 22, -5*b + p + 101 = 0. Let a(d) = -2*d + 44. Let h be a(b). Suppose 0 - 3 = 3*v, 69 = h*j - v. List the prime factors of j.
2, 17
Suppose -3*a - 7*s + 2*s = -107, 2*s + 10 = 0. Let b = -1 + a. Let n = -28 + b. List the prime factors of n.
3, 5
Let o be -4 + (-3)/(12/(-16)). Suppose 2*g + o*d = -2*d + 8, -3*g = -5*d - 4. What are the prime factors of (-3)/6*(-768)/(g + 1)?
2, 3
Let z(n) = n**2 - 9*n + 15. Let v be z(7). Let x = v + 5. Suppose -24 = -x*c + 3*c. What are the prime factors of c?
2
Let y be (0 - -2)*60/(-8). Let s(w) = 15 + 9 - 22 - w. What are the prime factors of s(y)?
17
Suppose -56*q + 30926 = -115962. What are the prime factors of q?
43, 61
Suppose 57*d - 62*d + 8361 = -24169. What are the prime factors of d?
2, 3253
Let m(r) be the third derivative of 17/6*r**3 + 0*r - 7/60*r**5 + 0 + 1/60*r**6 + 23*r**2 - 11/24*r**4. What are the prime factors of m(6)?
131
Suppose 0 = 8*r - 0*r - 8. Suppose 10 + 35 = 3*v + 3*z, -2*z = -4*v + 54. What are the prime factors of -1 - ((-156)/v - r/(-7))?
2, 5
Suppose 27*r - 7395 - 21576 = 0. Suppose 645 + r = 2*x. What are the prime factors of x?
859
Let p(h) = 2*h**3 - 10*h**2 - 17*h + 13. Let t be p(6). Let c(i) = 39 + 0*i**3 + 3*i**3 - 4*i**3 - 17*i**2. List the prime factors of c(t).
3, 13
Let z(k) = 7*k - 4. Let d(a) = -a. Let t(m) = 5*d(m) + z(m). Let w be t(4). Suppose -320 = -w*f - 4*c, -2*c = f - 0*c - 76. List the prime factors of f.
2, 3, 7
Suppose 0 = 4*b - o - 54217, 25*o = -2*b + 22*o + 27119. What are the prime factors of b?
5, 2711
What are the prime factors of (-11)/(55/(-35428)) - 39/65?
5, 13, 109
Let s = 9827 - -12888. What are the prime factors of s?
5, 7, 11, 59
Let y be -4*10/(-4) - 5. Let t be (-2 - y)*(-36)/63. List the prime factors of -168*1*t/(-12).
2, 7
Let g be (39 + -19)*78/(-4). Let i = -222 - g. Suppose 52*k + i = 54*k. What are the prime factors of k?
2, 3, 7
Let z(n) = 3632*n**2 + 39*n + 3. What are the prime factors of z(-2)?
97, 149
Let z(v) = -2*v**3 + v**2 + 1. Let g(r) = -735*r**3 + r - 2. Let i(j) = g(j) + 2*z(j). What are the prime factors of i(-1)?
2, 5, 37
Suppose 7*t - 12*t + 4*j + 215 = 0, 0 = t - 2*j - 37. Suppose 4 + 1 = n. Suppose 0*a = -3*a + 2*q + 98, -2*a + t = -n*q. List the prime factors of a.
2, 3
Suppose -156*k + 5362217 = 1500281. List the prime factors of k.
2, 3, 2063
Let b(n) = -n**3 - 7*n**2 - 5*n - 9. Let a be b(-7). Let x = 29 - a. Suppose -j = 3*y - 38, -x*j - j + 2*y = -82. List the prime factors of j.
23
Suppose -f + 102 + 338 = 4*r, -2*f + 905 = 3*r. Suppose 17*l + 8132 - 4392 = 0. Let k = f + l. What are the prime factors of k?
2, 3, 5
Let d = 900 + 2006. What are the prime factors of d?
2, 1453
Let k(t) = -t**3 + 5*t**2 - 5*t + 6. Let x be k(4). Suppose 3*y = -j - 12, 0*j = -3*j + x*y + 19. What are the prime factors of (-1)/j - (425/(-15) + 4)?
2, 3
Let t = -138 + 268. Suppose -31*l - 34 = 121. Let h = l + t. List the prime factors of h.
5
Let l be (-16 - (-1963)/39) + 1/(-3). Suppose 3*h = 2*m + l, -4*h + m + 49 = 2*m. What are the prime factors of h?
2, 3
Let v(l) = l**3 + 4*l**2 - 16*l - 8. Suppose -5*s - 4 = -2*z, 6 = -4*s + 7*s. List the prime factors of v(z).
419
Let a(k) = 108*k**3 - 16*k**2 + 44*k + 28. What are the prime factors of a(6)?
2, 7, 823
Let l be ((-2)/(-4))/((-4)/(-912)). Let o be (0 - (-3)/2)*l. Suppose z - 4*z + o = 0. List the prime factors of z.
3, 19
List the prime factors of ((-2)/5)/((13 + -27)/199430).
2, 7, 11, 37
Suppose -s = m + 3*s - 4, m + 2 = -s. Let p be 2*(10/(-4) - m). Suppose 4*h - p*u - 182 = 0, -3*h + 2*u = -3*u - 142. List the prime factors of h.
2, 11
Let l be ((-7)/(105/110) + 6)*-45. Suppose -2*x - 5*f + 2563 = 0, 61*x - l*x - 5*f = 1274. List the prime factors of x.
1279
Let z be 9 + -7 + (-2)/(4/(-6)). Suppose -k - 5 = s - 3, z*k - s - 20 = 0. Suppose 0 = q + 3*a - 0*a - 132, 402 = k*q + 3*a. List the prime factors of q.
3, 5
Let o(h) = 2*h**3 - 142*h**2 - 166*h - 1718. What are the prime factors of o(76)?
2, 21713
Let z(y) = 380*y**2 - 846*y - 5830. What are the prime factors of z(-7)?
2, 2339
Suppose 6*m - 2*m + 16 = 0, -m + 307 = p. Suppose h = 4*w - 0*w + p, 15 =
|
{
"pile_set_name": "DM Mathematics"
}
|
, -2/9, v, l?
v
Let k be ((5/(-8))/(-1))/((-9)/18). Let b = -31/28 - k. What is the smallest value in -7, 3, b?
-7
Let i = -1.212 + 94.562. Let w = 15.25 - i. Let u = -78 - w. Which is the fourth biggest value? (a) u (b) 3 (c) -0.2 (d) 0.3
c
Let p = -51.71 - -51. Let s = p - -0.01. Which is the biggest value? (a) -3 (b) -0.2 (c) s (d) -1
b
Let t be (-4)/(-60)*((-15)/(-24))/((-3)/(-60)). Which is the third smallest value? (a) -13 (b) 3 (c) t
b
Let i = -35199/88010 + -1/17602. Which is the third smallest value? (a) 0.5 (b) -2322 (c) -5 (d) i (e) -0.3
d
Let j = 0.1635 + -0.2635. Let f = -0.382 - 0.018. Which is the second smallest value? (a) f (b) j (c) 2
b
Let f = 884.6 + -876.6. Which is the biggest value? (a) 3/5 (b) 1 (c) -24 (d) f (e) 0
d
Let t = 11 - 6. Let s = -223.5 + 223.1. Let w = 4.9 + -0.9. Which is the third smallest value? (a) s (b) -1/12 (c) t (d) w
d
Let p = 13006 + -13010. What is the fourth biggest value in -5, 24, p, 90, 0.3?
p
Let v = 962 + -966. Let p(m) = -m. Let s be p(-5). What is the second biggest value in s, v, -5?
v
Let z = 0.24 - 1.24. Suppose -2*r - 10 = 4*k + 10, -20 = 2*r - 5*k. What is the second smallest value in r, -2, z?
-2
Let r = 2.47 - 2.17. Let k = 3925/11 + -356. Which is the second biggest value? (a) r (b) 5 (c) k
c
Let x = -3099 - -3100. Let n = 3138/35 - 448/5. What is the biggest value in n, x, 3/2?
3/2
Let k = -5556.3 + 5556. Which is the second smallest value? (a) 0 (b) -3 (c) k (d) 3 (e) 3/5
c
Let l = -0.5132 + 0.3132. Which is the second biggest value? (a) 1 (b) -1 (c) l (d) -4
c
Let t = -169 - -129. Which is the third biggest value? (a) t (b) 0.5 (c) 3 (d) -1
d
Let u = -18310 + 18305. Which is the biggest value? (a) 1/5 (b) -2/17 (c) -2/13 (d) -3.3 (e) u
a
Let u be (-2)/6 - 6/(-45). Suppose g - 69 = -2*d, -d + 42 + 6 = -4*g. Let p be 138/d + -3 - (-1 + 2). Which is the third smallest value? (a) -1 (b) p (c) u
b
Let b(l) = -l**3 - 14*l**2 - 34*l - 6. Let d be b(-11). What is the fourth biggest value in d, -4, -0.36, -3, 3/5?
-3
Let w be 1/10 + (-1342)/220 + 11. Which is the third biggest value? (a) 1/3 (b) w (c) -433.8
c
Let v = 62 - 129. Let x = v + 105. Which is the smallest value? (a) x (b) -0.2 (c) -2/3
c
Let y = -566.41 - -565.91. Let k be (-1)/(-5) - (-2)/10. What is the second biggest value in k, 1/5, y?
1/5
Let q = -5 - -5.3. Let p be ((-1552)/200 - -8)/((-6)/(-10)). Let i = 0.23 + -4.23. Which is the smallest value? (a) q (b) i (c) p
b
Let w = 103 + -320. Let h = w + 217. Which is the smallest value? (a) 0.4 (b) h (c) -0.03
c
Let i = 1361 + -1355. Let b(z) = 4*z**2 - 1. Let h be b(1). Let t = -4 + 0. What is the biggest value in -0.5, t, i, h?
i
Let n be ((-50)/15)/(-5) - 37/((-10878)/(-280)). Let h(u) = u**3 - 2*u**2 + 3*u. Let i be h(2). What is the third smallest value in n, 2, i?
i
Let x(j) = -j**2 + 52*j - 647. Let h be x(21). What is the second smallest value in 4/5, h, 2?
2
Let y = -101.77 - 0.23. Let i = y - -112. What is the third biggest value in -0.05, 5, i?
-0.05
Let m be ((-12)/32)/3*-4. Let q = -9544.2 + 9544. What is the second biggest value in 1/4, 1/12, q, m?
1/4
Let k = -4.369 - -4.369. Let u be -1 + -111 + 6/(-3). Which is the second biggest value? (a) u (b) 0.1 (c) k (d) 4/7
b
Let p = 0.347 + 478.653. Let j = 483 - p. What is the smallest value in 339, j, -0.3?
-0.3
Let r = -126.4 + 126. Let d = -120.4 - -121. What is the fourth smallest value in -5, -1, d, r?
d
Let m = 53.94928 + 0.05072. Which is the third smallest value? (a) m (b) -4 (c) -0.1
a
Let k = 0.14 + -0.25. Let g = 2549.71 + -2550. Let s = g + k. Which is the smallest value? (a) s (b) -0.1 (c) 3
a
Let w = 0.30039 - 0.07039. What is the third smallest value in 31, 3, w?
31
Let d = 33/49 - -15/196. Suppose 0 = 2*n + 15 - 3. What is the biggest value in d, n, 9/2?
9/2
Let v = -141 - -5. Let q = 136.4 + v. What is the third biggest value in -5, q, 3/2, -3?
-3
Let d = 0.283 + 0.017. Let z be (-1)/(-15) - (84/(-15) - -5). Let g = 4.122 - 0.122. Which is the third smallest value? (a) g (b) z (c) d
a
Let j = -71642 + 286565/4. Let x = 37 + -26. Let v be (-1)/x*-2 + 0. What is the third biggest value in 1, j, v?
j
Let y = 2522.5 - 2523. What is the smallest value in 5, -10/17, y, 0?
-10/17
Suppose -2*q - 31 = -155. Suppose -9*x + 46 = -q. Let a be 3/((-135)/55) - -1. What is the smallest value in a, x, -2?
-2
Let n = 1042 - 2741. Which is the third biggest value? (a) -0.4 (b) n (c) -0.5
b
Let h = 275.42 + -1.42. Let p = 270 - h. Let l be 4/10*20/(-68). What is the smallest value in 1/5, -2, p, l?
p
Let t = -476 - -486. Let x be 15/15 - 4/t. What is the second biggest value in -0.5, -167, x?
-0.5
Let z be ((-6)/(-4))/(9/4). Let n = 343 - 343. Let w be (4 - (2 - -1)) + (n - -4). What is the smallest value in w, -1, z, 2/9?
-1
Suppose 8 = f - z, -3*z - 46 = -f - 20. Let r = -31/70 + 3/10. Which is the fourth biggest value? (a) r (b) -4/3 (c) -0.14 (d) f
b
Suppose 130 = y + 4*y. Let n = y - -27. Let t = 52 - n. Which is the third smallest value? (a) -8 (b) t (c) -4 (d) 4
b
Let j = 0.05 + 2.95. Let w = -493.01 - -491.01. Which is the fourth biggest value? (a) -2/3 (b) w (c) 4 (d) j
b
Let m be 12 - 10 - 114/4*35/(-105). Which is the second biggest value? (a) -0.44 (b) m (c) 0.2
c
Let o = 334 - 674. Let r = 340.3 + o. Let f be (-2)/8 - 9/60. What is the biggest value in f, r, 17?
17
Let h = -30990/17 + 1823. What is the third smallest value in -2/7, h, 3/8?
3/8
Let a = 17/11 - 855/539. Let d = -9580 + 9582. What is the third smallest value in d, -0.3, a?
d
Suppose 2*d = 4*v - 2, 13*v - 9*v = -2*d - 18. What is the third smallest value in 3, v, -0.08?
3
Let r = -251 - -249.22. Let v = r - -1.58. What is the third smallest value in 2.8, -3/8, v?
2.8
Let i = -0.36 + 20.36. Let w = i + -29. Let v = 3934 + -3936. Which is the smallest value? (a) v (b) 5 (c) w
c
Let t be (920/(-120))/((-2)/6). Suppose -4*z = 2*f - 18, -t*z + 26*z = -2*f + 15. Which is the biggest value? (a) 1.5 (b) -2 (c) z
c
Let v = 32.3 - 32.77. Let u = v + 0.27. What is the third biggest value in 0.3, u, -1/9?
u
Let o = 0.7 + -4.7. Let w be (-7)/(28/24)*8/168. Let l = 0.5 + -0.1. Which is the fourth smallest value? (a) 4 (b) o (c) l (d) w
a
Let j = -5 - -9. Let n be (-3)/30*(24 + -23)*-3. Let l = -1.52 - -3.52. Which is the third smallest value? (a) n (b) j (c) l
b
Let r = 99 + -73. Let b = 25.6 - r. What is the biggest value in -5, -0.1, -2, b?
-0.1
Let z = -33 - -33.7. Let b be -3*1*(15136/(-35217) + (-18)/(-39)). What is the second biggest value in 0.8, b, z?
z
Let p = 180 - 84. Let x = p + -91. Which is the third biggest value? (a) -3 (b) -0.03 (c) x
a
Suppose -5*l = -3*a - 1500, 5*l = -0*l - 2*a + 1475. Suppose -l = 5*h - 137. What is the biggest value in -1, 2, h?
2
Let n = -0.293 + 0.193. Suppose 0 = -5*v - 4 + 24. Let y be (-1)/v + 504/1248. Which is the biggest value? (a) 3 (b) n (c) -2/17 (d) y
a
Let v be (6/5)/(12/(-40)). Let f = -3.4 + 3.9. What is the fourth biggest value in -8, -1/9, f, v?
-8
Suppose -739 = 21*v + 3797. Which is the third smallest value? (a) 2/13 (b) v (c) 1/5 (d) 2
c
Let d = -124.5 - -126.4. Which is the biggest value? (a) 3 (b) -4 (c) d
a
Suppose -116*q + 1924 = -7124. Let z = 2 + -5. Let x be (-82)/q*-3 + z. Which is the third smallest value? (a) x (b) -0.3 (c) -0.4
a
Let j = 2717 + -2715. Which is the third smallest value? (a) j (b) -0.19 (c) -0.5 (d) 0 (e) -1/4
b
Let m = -6 - -5.7. Let n be ((-6)/42)/(2/(-14)). Let r be n/((-21)/(-140)) + -6. Which is the biggest value? (a) r (b) -4/7 (c) 4 (d) m
c
Let n be 7/21 + 22/(-102). Let u be 1*-3*(315/(-75))/(-21). What is the third smallest value in n, 5, u?
5
Let y = -8724 + 8719. Which is the third biggest value? (a) 0.18 (b) -1 (c) -3 (d) y
c
Let k = -6273 + 5894.025. Let z = -383 - k. Let v = -0.025 - z. Which is the smallest value? (a) v (b) 0.1 (c) 5
b
Let w = 259 + -589. What is the fourth smallest value in w, -0.2, -0.1, 3/2, 2?
3/2
Let n = 32150 + -32147. Which is the third biggest value? (a) 3/2 (b) n (c) 0.5 (d) -201
c
Let u = 13 + -9. Let f = -0.06713 - 1.93287. Which is the biggest value? (a) f (b) u (c) 0.4 (d) 0.5
b
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3*u, -14 = -p*b - 5*u. Suppose b*x = 19 + 45. What is the tens digit of x?
3
Let a(n) = -32*n + 11 + 19 + 1 + 51*n. Let b be a(-3). Let x = 75 + b. What is the units digit of x?
9
Let z(i) = 826*i**2 + 5*i - 5. Let n be z(1). Let t = -373 + n. What is the tens digit of t?
5
Suppose -4*p - 2*g + 316 = 0, -2*g - g = -6. Let q(o) = -53*o + p*o - 3 + 1. What is the units digit of q(1)?
3
Let v be (-100053)/54 - ((-2)/(-12))/1. Let c = v + 3429. What is the hundreds digit of c?
5
Let f = 16 + -7. Let t(c) be the first derivative of 5*c**2/2 + 8*c + 402. What is the tens digit of t(f)?
5
Suppose 16*u - y - 10926 = 15*u, 43695 = 4*u + 5*y. What is the tens digit of u?
2
Let k = 137 - 137. Suppose k = -2*n - 2*f + 34, 2*n - 4*f = 5*n - 52. What is the units digit of n?
6
Suppose -44 = 4*l - 4*s - 4, -5*s = -25. Let b(u) be the first derivative of u**3 + u**2/2 + 2*u + 40. What is the tens digit of b(l)?
7
Let z = 167 + -64. Suppose 4*b - 216 = 4*q, z = 2*b - 0*q - q. Let k = b - 34. What is the units digit of k?
5
Suppose -5 = 4*w - 5*w. Suppose w*m - 896 = m. Suppose 3*q + m = 4*q. What is the hundreds digit of q?
2
What is the hundreds digit of ((-64)/14)/8 + (-277960)/(-56)?
9
Let v = 1083 + -240. Suppose 0 = 9*z - 669 - v. What is the tens digit of z?
6
Let r(w) = -w**2 + w + 2. Let g(k) = k**2 + 18*k - 18. Let n(m) = -g(m) - 4*r(m). What is the tens digit of n(8)?
2
What is the thousands digit of 1408*(-9)/(-18)*6/3?
1
Let v(n) be the second derivative of 29*n**3/2 + 21*n**2/2 + n + 38. What is the units digit of v(4)?
9
Suppose 147*t - 168*t = -161679. What is the hundreds digit of t?
6
What is the units digit of -50 - -51 - -5*8?
1
Let d = 770 - 1337. Let b be (4/(-9))/(9/(d/14)). Suppose -163 - b = -h. What is the tens digit of h?
6
Let n be ((-54)/8)/(-2*(-6)/(-8496)). Suppose -3603 = -3*l - 4*c, 3*c + n = 22*l - 18*l. What is the tens digit of l?
9
Let r(a) be the first derivative of 2*a**3 + 9*a**2/2 + 37*a + 37. What is the units digit of r(8)?
3
Let z = 48 - 0. Suppose -4*h - 30 = -2*l, -4*l = -3*h - z + 3. Suppose 6*i - l*i + 321 = 0. What is the hundreds digit of i?
1
Let r(c) = -2*c**3 + 9*c**2 + 7*c - 3. Let f be r(5). What is the tens digit of (7/(f/(-74)))/(2/(-4))?
4
Suppose 5*l = -3*a + 1786, -a - 8*l = -7*l - 596. Let m = a + -112. What is the tens digit of m?
8
Let u(n) = -n**2 + n - 2. Let v be (-3)/1 + 7 + 3. Let o be u(v). What is the tens digit of o/(-6)*90/20?
3
Suppose 19 = -2*x - 4*l - 25, -2*x - 44 = -l. Let d = x - -26. Suppose -m = -3*h - 3*m + 485, d*h = 4*m + 640. What is the hundreds digit of h?
1
Let o = -658 - -2029. Suppose -3*z - 3*x = -o, -2*z + 884 = -0*z - 4*x. What is the hundreds digit of z?
4
Suppose 9*a + 407 = 20*a. Suppose -a*l + 32*l + 1820 = 0. What is the tens digit of l?
6
Suppose 6*b + 22 = -8. What is the hundreds digit of (69/(-46) - b/(-2)) + 715?
7
Let j = -238 - -379. Suppose 16*a - 18*a + g + 284 = 0, -a + j = -g. What is the tens digit of a?
4
Let w(z) be the third derivative of 1/30*z**5 - 1/4*z**4 + 2/3*z**3 + 0*z + 13*z**2 + 0. What is the units digit of w(6)?
0
Suppose 2*i + 44738 = 2*j, 3*j - 6669 = -i + 60434. Suppose 2*n = -30*n + j. What is the units digit of n?
9
Suppose 4*v = q + 497, -4*v + 4*q + 500 = -0*q. Suppose 5*a - 2*d + 6 = 0, 0*a + 2*a - 15 = -5*d. What is the units digit of ((-3)/(-4))/(a + 1/v)?
3
Suppose 4*t - 3*t - 1139 = 0. What is the tens digit of t?
3
Let x be 11/33 + (-11)/(-3). Suppose 0 = -4*s + x, 0 = 4*a + 5*s - 1290 - 4319. What is the tens digit of a?
0
Let m(o) = 2080*o + 45619. What is the tens digit of m(0)?
1
Let d = -496 - -322. Let g = 456 + d. What is the hundreds digit of g?
2
What is the thousands digit of ((-602260)/(-35))/(-2)*(-2)/4*7?
0
Let n(f) = -f**2 - 24*f - 38. Let s be n(-10). Let o be (-382)/(-4) + -5 + 36/8. Let u = s - o. What is the units digit of u?
7
Suppose -j + 11589 + 6120 = 5*r, -10628 = -3*r + 2*j. Suppose 615 = 4*u - 2*s - 2921, -5*s = -4*u + r. What is the tens digit of u?
8
Let v = -1967 + 2187. What is the hundreds digit of v?
2
What is the tens digit of (-7308174)/(-1455) + (1 - 8/10)?
2
Suppose -8*b + 3*b + 75 = 0. Suppose 21*j = b*j + 24. Suppose 0 = -q - 2*i + 35, -j*i = -q - 0*i + 47. What is the units digit of q?
9
Suppose 197329 - 35326708 = -419*c. What is the ten thousands digit of c?
8
Suppose 0 = 31*d - 47 - 77. Suppose 953 = 3*h + 5*p, -d*h - p + 1324 = -5*p. What is the units digit of h?
6
Let o(x) = 495*x - 5650. What is the units digit of o(122)?
0
Let u = 372 - 468. Let o = u - -1129. What is the thousands digit of o?
1
Let t = -127 - -458. Suppose -20 = g - t. What is the units digit of g?
1
Let t(d) = 8*d + 94. Let s(b) = 2*b - 8. Let l be s(7). What is the tens digit of t(l)?
4
Let l(f) = -43*f - 5. Let c be l(5). Let y be (4 - (3 + c)) + -2. Suppose -y = -4*q + 85. What is the units digit of q?
6
Let v(m) = 147*m**2 + 37*m + 168. What is the tens digit of v(-6)?
3
What is the tens digit of -9*(139304/6)/(-22)?
9
Suppose 55*p + 11*p = 264396. What is the hundreds digit of p?
0
Let k = 5 + -3. Suppose 25*m - 1408 = -19*m. Suppose k*v = v + m. What is the units digit of v?
2
Suppose 9 = 7*q - 103. Suppose 2*l - 2*x = 22, -5*l + 27 = -2*x - q. What is the units digit of l?
7
Suppose -77 = 2*q - 71, 5*q + 247807 = 4*d. What is the ten thousands digit of d?
6
Let u be ((-8498)/(-28) + -4)/(1/2). Suppose u = 5*r + 7*f - 5*f, 4*f - 365 = -3*r. What is the tens digit of r?
1
Let v be (-6)/(-18) - (-15)/9. Let i be (112/49 - 2/7)*v. Suppose -413 = -i*r + 659. What is the hundreds digit of r?
2
Suppose 12*w - 730 - 110 = 0. Let u be 156/(-1 + 0)*w/(-140). Let z = u - 44. What is the tens digit of z?
3
Let z(p) = p**3 - 6*p**2 - p + 5. Suppose 0 = m + 4*n - 14 - 12, 2*n = 10. Let a be z(m). What is the tens digit of (-1)/((-4)/8*a) + 16?
1
Let r(p) be the first derivative of 23*p**2/2 - 58*p - 87. What is the hundreds digit of r(13)?
2
What is the tens digit of (-1 - 0) + (-679325)/(-75)*3?
7
Suppose -10*x + 5*x + 18 = 2*q, -5*x = -5*q + 10. Suppose -4*t - 5*y = -1641, 28*y = q*t + 23*y - 1631. What is the hundreds digit of t?
4
Let u = -656 - -1192. Let p = -248 + u. What is the tens digit of p?
8
What is the thousands digit of (-8)/(-6)*-3*(-16749901)/1082?
1
Suppose -z + 154 - 196 = 2*p, p - 3*z = 0. Let j be -2*2/(-4)*-4. What is the units digit of 3 + 34/51*p/j?
6
Let d(f) = 22*f**2 - 62*f - 3156. What is the hundreds digit of d(-56)?
3
Suppose -59*j - 4*f = -62*j - 220, 3*j + f + 245 = 0. Let h = j - -125. What is the units digit of h?
5
Suppose 0 = g - 6*p - 13066 - 82, 0 = -5*g + 4*p + 65558. What is the thousands digit of g?
3
Let w = 36243 - -10468. What is the thousands digit of w?
6
Suppose l + 0*u = u + 6, -4*u - 14 = l. Suppose 3*d + d = -l*x + 1508, 5*d = -2*x + 1505. Suppose 3*i = 8*i - x. What is the tens digit of i?
5
What is the hundreds digit of (-6)/(-10) + (-27396)/(-27)*6/20?
3
Suppose -3*t = 3*z - 111, 3*t = -2*t + 3*z + 161. Let x = -34 + t. Suppose x = p + 6*p - 63. What is the units digit of p?
9
Let c(l) = -9*l + 8 + 7 + 4 + l**3 - 5*l**2 + l**3. What is the hundreds digit of c(6)?
2
Suppose 0 = 10*m + 10*m - 48000. What is the tens digit of m/14 + (-4)/(-7)?
7
Suppose -188*m - 153104 = -195*m. What is the ten thousands digit of m?
2
Let y(m) = m**3 - 10*m**2 - 10*m + 45. Let c(q) = q**3 - 5*q**2 - 20. Let x be c(6). What is the hundreds digit of y(x)?
4
Let a(j) = 566*j - 111. Let y be a(-3). What is the hundreds digit of (-692)/(-3)*y/(-268)?
5
Suppose -32*i + 53867 + 44906 = -121099. What is the tens digit of i?
7
Let m(w) = 221*w + 177. What is the hundreds digit of m(5)?
2
Let b be (3 + (-52)/(-12))*3. Suppose -16 = -6*f + 182. What is the tens digit of 4030/b - 6/f?
8
Let s be ((-16325)/(-4))/5 + (-9)/36. Let m = s + -381. What is the units digit of m?
5
Suppose 0 = -6*g + 3*g + 1074. Let o = g + 52. What is the units digit of o?
0
Let n(g) = 16*g**3 - 8*g**2 - 9*g - 25. Let b be n(-4). Let v = b - -1924. What is the tens digit of v?
8
Let v be -11 - -13 - (-108)/(-1) - 1. Let c = 155 + v. What is the units digit of c?
8
Suppose -5 = 5*r, -z + 5*r - 27 - 13 = 0. Let s = z + 48. Suppose 0 = -s*w + 599 + 10. What is the hundreds digit of w?
2
Let p(n) = 6*n**2 + 24*n - 12. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
346721891 composite?
True
Is 127094777 composite?
False
Is 117397097 composite?
True
Is 217772263 a prime number?
False
Is 554904511 composite?
True
Is 126144514889 a composite number?
False
Is 47685644894 prime?
False
Is 89133019 a composite number?
False
Is 2327665061 prime?
True
Is 20156449 composite?
True
Is 7966498363 prime?
True
Is 98344982287 prime?
True
Is 4321437583 a composite number?
False
Is 2095241497 composite?
False
Is 1881493043 composite?
True
Is 56243045761 composite?
True
Is 6339533797 prime?
False
Is 91092010717 a prime number?
False
Is 1190109787 composite?
False
Is 1956774541 a prime number?
True
Is 881825941 a composite number?
False
Is 834872867 a composite number?
False
Is 6839311301 a composite number?
False
Is 3459601729 a composite number?
True
Is 2345746933 a composite number?
False
Is 482613779081 a composite number?
True
Is 10254534139 a prime number?
True
Is 85984341517 prime?
True
Is 2774840209 a prime number?
True
Is 3469615483 a prime number?
True
Is 6073955599 prime?
False
Is 463195093 prime?
True
Is 1292879531 a composite number?
False
Is 84748406351 a composite number?
True
Is 1243789886897 prime?
True
Is 3684413567 prime?
False
Is 1292143537 a composite number?
False
Is 893788879 a composite number?
True
Is 6989500891 prime?
True
Is 579006317 a composite number?
False
Is 1699606099 a prime number?
True
Is 613982741 composite?
False
Is 696309379 composite?
True
Is 29991691 a prime number?
True
Is 284477267 prime?
False
Is 2505778039 composite?
False
Is 36513876419 prime?
True
Is 103334689 composite?
False
Is 23362975693 prime?
False
Is 723713159 a composite number?
True
Is 561947377 a prime number?
False
Is 2533374127 composite?
True
Is 618337189 a composite number?
True
Is 34508025611 composite?
True
Is 1840346537 a prime number?
True
Is 1683766537 composite?
False
Is 350890469 a prime number?
True
Is 10311391681 prime?
False
Is 140189669 a composite number?
True
Is 25958460439 a composite number?
False
Is 1047186227 composite?
True
Is 32117671 composite?
False
Is 85127519027 composite?
False
Is 26724873397 a composite number?
False
Is 402939692581 composite?
False
Is 1143444271 a composite number?
True
Is 283964587 a prime number?
True
Is 1283106587 a prime number?
False
Is 27654722047 composite?
False
Is 607323557 a prime number?
False
Is 50661094801 a prime number?
True
Is 10441936397 a composite number?
True
Is 3344937439 composite?
False
Is 1822364345 prime?
False
Is 1137193887 a composite number?
True
Is 47896637147 prime?
True
Is 2474213407 a composite number?
False
Is 389787929 a prime number?
True
Is 90666638221 a composite number?
True
Is 969227585 a composite number?
True
Is 199848233 a prime number?
False
Is 50247397427 a composite number?
True
Is 96201169 prime?
False
Is 144156217 prime?
True
Is 63799987 composite?
False
Is 661275763 composite?
False
Is 1187968827 composite?
True
Is 4600977047 prime?
False
Is 31321144109 a prime number?
True
Is 16478745377 prime?
True
Is 550352197 a composite number?
False
Is 89065853 a prime number?
False
Is 9985517977 a prime number?
False
Is 2743703357 composite?
True
Is 152349037157 prime?
True
Is 1274207867 a prime number?
True
Is 55414746085 prime?
False
Is 5025233219 composite?
False
Is 15122125597 a composite number?
True
Is 321721639463 a composite number?
True
Is 735313441 prime?
False
Is 460304423 composite?
False
Is 80979337 a composite number?
True
Is 5671234823 composite?
False
Is 5061682523 composite?
False
Is 7147529407 a prime number?
True
Is 5384147311 a prime number?
True
Is 1533229323 composite?
True
Is 682475257 prime?
True
Is 227553372901 a prime number?
True
Is 1765976857 a composite number?
False
Is 15798779947 prime?
False
Is 899252477 prime?
False
Is 3872459135 a prime number?
False
Is 4087885759 a composite number?
True
Is 80285327819 a composite number?
False
Is 2206646347 prime?
True
Is 284056932521 a prime number?
True
Is 4671111197 composite?
False
Is 291944041 a composite number?
False
Is 1631130869 a prime number?
False
Is 49510801979 prime?
True
Is 83243443 a prime number?
False
Is 3777501731 composite?
False
Is 35816312794 composite?
True
Is 9228300863 a composite number?
True
Is 16458773489 prime?
False
Is 14313615479 composite?
False
Is 22507035391 a composite number?
True
Is 40999247461 a prime number?
True
Is 2453490187 a composite number?
False
Is 100053691 a composite number?
False
Is 18241102183 composite?
False
Is 295738523 a composite number?
True
Is 203334149 prime?
True
Is 68304091073 composite?
False
Is 610447963 a composite number?
True
Is 144193453 a prime number?
True
Is 507679987 a composite number?
False
Is 86920937 a prime number?
False
Is 1437328279 a composite number?
False
Is 1837543711 a prime number?
True
Is 31976818201 a composite number?
True
Is 787543829 composite?
False
Is 7404102269 a composite number?
True
Is 121531850657 composite?
True
Is 12987935381 a composite number?
False
Is 1950932251 prime?
True
Is 252701893 a prime number?
True
Is 51805852873 prime?
True
Is 4945586693 a composite number?
True
Is 256710709 a composite number?
False
Is 2167987609 a composite number?
True
Is 816030491 composite?
True
Is 3862337737 a prime number?
True
Is 485467643 a prime number?
True
Is 124322531 prime?
True
Is 20650994123 a prime number?
True
Is 453053089 a prime number?
True
Is 44667775109 prime?
True
Is 221960647 composite?
False
Is 443533469 a composite number?
False
Is 1514402777 a composite number?
True
Is 68656922587 prime?
False
Is 8983443587 a composite number?
True
Is 283186294093 a composite number?
True
Is 131339197321 a prime number?
True
Is 221306317 composite?
True
Is 33704906047 a composite number?
True
Is 162120239 a prime number?
True
Is 3037172189 composite?
False
Is 33668371001 prime?
False
Is 15184692491 a prime number?
False
Is 55738488263 composite?
False
Is 48781971841 prime?
True
Is 174965353721 prime?
False
Is 694448999 prime?
False
Is 911233249 composite?
True
Is 81657253871 a composite number?
False
Is 692742511 a composite number?
True
Is 9211523801 a prime number?
True
Is 2640965137 a prime number?
False
Is 976099427 composite?
True
Is 9153820793 composite?
True
Is 124408435423 a prime number?
True
Is 5944143683 prime?
False
Is 1325172227 composite?
False
Is 702789722 composite?
True
Is 247701133 composite?
True
Is 322208827 a composite number?
True
Is 1894227107 a composite number?
True
Is 350458049 prime?
True
Is 792564683 composite?
True
Is 2705998187 a prime number?
True
Is 1096954069 a composite number?
False
Is 6483747971 a composite number?
False
Is 2723433071 composite?
False
Is 8048315237 composite?
False
Is 60231397 prime?
True
Is 24723516677 composite?
False
Is 1268053201 a prime number?
True
Is 50262314863 composite?
True
Is 777601894537 a prime number?
False
Is 21046980709 a composite number?
True
Is 68763563401 prime?
False
Is 49746157 composite?
False
Is 57894587 composite?
True
Is 5319086347 a prime number?
False
Is 25135574531 prime?
True
Is 4633816651 prime?
False
Is 323642749 a composite number?
True
Is 54701031107 a prime number?
True
Is 10851323471 a prime number?
False
Is 48189977687 composite?
True
Is 7035822581 composite?
False
Is 515516233 a composite number?
False
Is 570205957 composite?
False
Is 11908282073 a prime number?
False
Is 454299401 a prime number?
True
Is 9657403655 a composite number?
True
Is 4147515283 a composite number?
False
Is 13719350257 a composite number?
False
Is 882011257 composite?
False
Is 1555707113 a composite number?
False
Is 2911200431 a composite number?
True
Is 207169229 a prime number?
False
Is 10646187653 a composite number?
False
Is 336608999 composite?
False
Is 4036448371 a prime number?
False
Is 345936739 composite?
True
Is 1337623015 a prime number?
False
Is 760657091 a prime number?
False
Is 13100666753 a composite number?
False
Is 62180054429 a prime number?
False
Is 14483217101 composite?
False
Is 1146610589 a prime number?
True
Is 47581938709 a composite number?
False
Is 245402671 a prime number?
False
Is 5717235731 a composite number?
False
Is 19144681663 prime?
True
Is 6727628599 composite?
True
Is 1161928627 prime?
False
Is 984807347 a prime number?
False
Is 1608088189 prime?
False
Is 1685872781 a prime
|
{
"pile_set_name": "DM Mathematics"
}
|
ed without replacement from jdladnjaddjjanja?
1/120
Calculate prob of picking 2 l, 1 f, and 1 q when four letters picked without replacement from qclfqcylyllccw.
12/1001
What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 1, l: 3}?
1/2
What is prob of picking 1 c and 1 q when two letters picked without replacement from {q: 1, e: 4, z: 2, c: 2}?
1/18
Three letters picked without replacement from {i: 1, x: 2, a: 4, d: 3, h: 1}. What is prob of picking 1 h and 2 x?
1/165
Calculate prob of picking 2 x and 1 d when three letters picked without replacement from xxxxdaaxppxp.
3/44
Two letters picked without replacement from {n: 6, j: 2}. What is prob of picking 2 j?
1/28
Calculate prob of picking 1 f, 2 i, and 1 g when four letters picked without replacement from {i: 3, q: 10, p: 1, f: 4, g: 1}.
1/323
Three letters picked without replacement from bbsjeesbsxo. What is prob of picking 1 b, 1 o, and 1 j?
1/55
Calculate prob of picking 1 c and 2 v when three letters picked without replacement from vccvcevcgvxccvv.
18/91
Three letters picked without replacement from kiwookookookok. What is prob of picking 2 o and 1 w?
3/52
Calculate prob of picking 1 d and 2 o when three letters picked without replacement from {d: 2, q: 3, z: 2, u: 2, h: 1, o: 2}.
1/110
Four letters picked without replacement from nnnnjnnnnjj. Give prob of picking 4 n.
7/33
Three letters picked without replacement from dydzodyzkdookyzk. What is prob of picking 1 z and 2 k?
9/560
What is prob of picking 1 v and 1 k when two letters picked without replacement from lkklkvkkxd?
1/9
What is prob of picking 2 z and 2 f when four letters picked without replacement from {y: 1, z: 4, f: 8}?
168/715
Calculate prob of picking 2 e when two letters picked without replacement from eeaab.
1/10
Three letters picked without replacement from vfpvvfppkvkkvppkpp. What is prob of picking 2 v and 1 f?
5/204
What is prob of picking 1 i and 1 s when two letters picked without replacement from {n: 1, c: 2, m: 1, s: 1, u: 1, i: 2}?
1/14
Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {m: 4, r: 15}.
140/323
Four letters picked without replacement from hnhnhcnchnnnnnnh. Give prob of picking 1 c and 3 h.
1/91
What is prob of picking 1 g, 1 v, and 1 o when three letters picked without replacement from gvogdggvgogdvodogv?
7/51
What is prob of picking 1 q, 2 n, and 1 j when four letters picked without replacement from qqjjqjjnnj?
1/14
Two letters picked without replacement from {z: 3, p: 11}. Give prob of picking 2 z.
3/91
What is prob of picking 2 y when two letters picked without replacement from {y: 4, j: 1, n: 2, u: 4}?
6/55
Calculate prob of picking 3 d when three letters picked without replacement from {l: 9, d: 10}.
40/323
What is prob of picking 1 j and 1 y when two letters picked without replacement from gjyjggjgg?
1/12
Three letters picked without replacement from {j: 11, z: 5}. What is prob of picking 3 j?
33/112
Three letters picked without replacement from dddddaddddddddjjd. What is prob of picking 1 j and 2 a?
0
Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {r: 3, w: 9}.
27/220
Two letters picked without replacement from sunnspungcsccngg. What is prob of picking 1 u and 1 g?
1/20
Two letters picked without replacement from {y: 7, m: 4}. What is prob of picking 2 y?
21/55
Four letters picked without replacement from jnjnnnxyn. What is prob of picking 3 n and 1 x?
5/63
Two letters picked without replacement from yffffyssffsyf. Give prob of picking 2 f.
7/26
What is prob of picking 3 h when three letters picked without replacement from hghhhhhgh?
5/12
Calculate prob of picking 2 p and 1 a when three letters picked without replacement from {p: 2, a: 2}.
1/2
Three letters picked without replacement from apcccccclplcclal. Give prob of picking 1 c, 1 a, and 1 p.
2/35
Three letters picked without replacement from {m: 3, p: 1, s: 1, o: 2, c: 3}. What is prob of picking 2 p and 1 s?
0
Calculate prob of picking 2 k, 1 c, and 1 o when four letters picked without replacement from {c: 6, k: 2, o: 5}.
6/143
Calculate prob of picking 1 u and 1 i when two letters picked without replacement from ffuffittu.
1/18
What is prob of picking 2 w when two letters picked without replacement from wwwlwwwwl?
7/12
Two letters picked without replacement from rxrxxxvqqxxv. Give prob of picking 2 r.
1/66
Calculate prob of picking 1 d and 2 c when three letters picked without replacement from cccncccdccccc.
5/26
What is prob of picking 2 t when two letters picked without replacement from {u: 1, t: 3, w: 12}?
1/40
What is prob of picking 1 i and 2 g when three letters picked without replacement from {s: 3, z: 1, i: 1, d: 1, t: 3, g: 2}?
1/165
Calculate prob of picking 1 z and 3 j when four letters picked without replacement from {z: 1, a: 1, j: 4, e: 3, o: 7}.
1/455
Three letters picked without replacement from jjjjjjffjjjjjjjjjjjj. What is prob of picking 1 f and 2 j?
51/190
Four letters picked without replacement from {l: 2, a: 4, h: 7, d: 2, y: 2}. What is prob of picking 2 h, 1 a, and 1 l?
6/85
Four letters picked without replacement from ffzrzzzffrf. What is prob of picking 2 f and 2 z?
2/11
Two letters picked without replacement from {s: 11, a: 7, q: 1}. What is prob of picking 1 q and 1 a?
7/171
Two letters picked without replacement from uhuqthtiht. What is prob of picking 2 u?
1/45
What is prob of picking 2 a, 1 w, and 1 v when four letters picked without replacement from uawuurqvwuawvr?
6/1001
Three letters picked without replacement from ooqooqqoqooqqqoo. What is prob of picking 1 q and 2 o?
9/20
Three letters picked without replacement from {z: 9, m: 11}. What is prob of picking 1 m and 2 z?
33/95
Four letters picked without replacement from {x: 3, k: 4, p: 1, m: 3}. What is prob of picking 2 m, 1 x, and 1 p?
3/110
Calculate prob of picking 4 j when four letters picked without replacement from jjojoooooooojj.
5/1001
Three letters picked without replacement from {c: 5, u: 9}. Give prob of picking 2 u and 1 c.
45/91
Two letters picked without replacement from dnddddndnndddddndd. What is prob of picking 2 d?
26/51
Three letters picked without replacement from xvuufvuvhvfuvx. Give prob of picking 1 h and 2 f.
1/364
What is prob of picking 2 b when two letters picked without replacement from bjqgxxbqlxbxqbq?
2/35
Calculate prob of picking 2 d when two letters picked without replacement from xxcxdxcxxcxxpxdx.
1/120
Three letters picked without replacement from wipxw. What is prob of picking 1 p, 1 i, and 1 x?
1/10
Three letters picked without replacement from jnnjnjrjjnrjnnn. Give prob of picking 3 j.
4/91
What is prob of picking 2 i when two letters picked without replacement from {s: 3, i: 5}?
5/14
What is prob of picking 2 a and 2 x when four letters picked without replacement from xaxaaxxaxxaax?
63/143
Calculate prob of picking 2 z and 1 k when three letters picked without replacement from iikiizikzdzk.
9/220
Calculate prob of picking 1 e and 1 d when two letters picked without replacement from deeeeeeedeee.
10/33
What is prob of picking 4 j when four letters picked without replacement from {p: 6, j: 7}?
7/143
What is prob of picking 2 f and 1 p when three letters picked without replacement from {p: 4, f: 2, z: 1}?
4/35
What is prob of picking 2 n when two letters picked without replacement from {s: 10, n: 2}?
1/66
What is prob of picking 1 l, 1 t, and 1 w when three letters picked without replacement from ltltwllwktkwwll?
72/455
What is prob of picking 2 z when two letters picked without replacement from iiuunmzuziznniihz?
3/68
Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {j: 1, c: 6, b: 4}.
2/55
Calculate prob of picking 4 a when four letters picked without replacement from haaahahahhhah.
3/143
Calculate prob of picking 2 h when two letters picked without replacement from {w: 2, e: 1, p: 1, a: 2, h: 2, m: 1}.
1/36
Calculate prob of picking 1 q and 1 p when two letters picked without replacement from rqpqrqqrrpqqqq.
16/91
Four letters picked without replacement from {k: 3, y: 1, q: 2, u: 1, j: 7}. What is prob of picking 3 k and 1 q?
2/1001
Four letters picked wi
|
{
"pile_set_name": "DM Mathematics"
}
|
s (0 - 2*i**2 + 0)*(-3*i**2 - 6*i**2 + 38*i**2)*(-4 + 2 + 0) in the form a + b*i + d*i**3 + x*i**4 + p*i**2 and give d.
0
Rearrange 49*z**2 - 107*z**2 + 1 + 56*z**2 - 15 to the form d*z + w*z**2 + n and give w.
-2
Express -1 + 1 - 2*f**3 + 0*f**3 + 7*f**2 in the form k + t*f + w*f**2 + s*f**3 and give k.
0
Express 2 + g**4 + 9*g**3 + g**2 - 2*g**2 - 2*g**4 - 11*g**3 in the form j*g**4 + z*g**2 + x*g + c*g**3 + f and give c.
-2
Express -p**4 - p**2 - 16 + 17 + 5*p**2 - 2*p**3 as b*p**3 + z*p + m*p**4 + r*p**2 + a and give a.
1
Rearrange 42*v**2 + 0*v - 309 - 2*v + 311 to the form i*v**2 + u + m*v and give m.
-2
Rearrange 8*t**3 - t**2 + 7*t - 7*t**3 + 13 - 6*t to the form n + m*t**2 + b*t**3 + q*t and give n.
13
Express (-24 + 4 + 6)*(o**3 + 0*o**3 + 0*o**3) in the form l + p*o**3 + v*o**2 + s*o and give p.
-14
Rearrange -3 + 1 - 5*t**3 + 3*t**3 - 6 to x + g*t**3 + v*t + w*t**2 and give x.
-8
Express 455 - 103*y + 457 - 912 in the form u*y + j and give u.
-103
Rearrange (-3 + 3 + 2*t)*(t**2 - t**2 + t**2)*(5*t + 0*t + 8*t) to the form y*t**3 + g*t**2 + u*t + i*t**4 + q and give i.
26
Rearrange (-1 - 3 + 1)*(4 - 3 - 2)*(1 + 0 + 1)*(0 + 0 - 1)*(13*c - 10*c + 10*c) to the form h + g*c and give g.
-78
Rearrange 0*w - w + 2*w + (3 - 4 + 4)*(-3*w + 8*w - 7*w) to the form c + m*w and give m.
-5
Express (5 + 4*l - 5)*(-l + 2*l - 2*l) - 2*l - 2*l**2 + 2*l + (-2*l + 4*l + 0*l)*(-5*l + 4*l + 2*l) as k*l**2 + m*l + a and give k.
-4
Rearrange -2*x + 2*x**2 + 2*x + (0*x**2 + 3*x**2 - 5*x**2)*(-28 + 61 - 18) to the form d*x + u + w*x**2 and give w.
-28
Rearrange -31*r + 8*r + 16*r - 38*r to j + x*r and give x.
-45
Express m**2 + 1 + 390*m - 390*m - 2*m**3 - 2*m**4 as y*m + d + c*m**4 + z*m**2 + n*m**3 and give n.
-2
Rearrange ((1 - 1 - 2*g)*(2 + 10 + 2) - 5*g + 0*g + 4*g - 2 + 2*g + 2)*(3*g - g + 0*g)*(0 + 0 + g) to a*g + p*g**2 + v*g**3 + x and give v.
-54
Express 9*x - 13*x + 6*x as p + f*x and give f.
2
Rearrange o**2 - 47*o - 3*o**2 + o**2 to j*o + k*o**2 + v and give j.
-47
Rearrange 4 - 1 - 51*o**3 + 55*o**3 to n*o + d*o**2 + i + t*o**3 and give t.
4
Rearrange 5*z**3 - 2*z**3 - 2*z**3 + (20 - 9 + 3)*(z - 2*z - z)*(5*z**2 - 5*z**2 + z**2) to t*z**3 + r + s*z + b*z**2 and give t.
-27
Rearrange -37*h - 36*h + 27*h to g*h + s and give g.
-46
Rearrange (3 - 3 + 6)*(0 + 0 - g)*(-2*g + g + 2*g) to the form o*g**2 + u + q*g and give o.
-6
Rearrange (q**4 + 3*q**4 - 5*q**4)*(-3 - 7 + 49) to the form h*q**2 + f*q**3 + t*q**4 + w*q + l and give t.
-39
Express (-3 + 2 + 2)*(-7*k + 72 - 72) + (-4 + 2 + 4)*(0*k + 3*k - k) as g*k + x and give g.
-3
Express -6 - 21*a + 4 + 2 as g + z*a and give z.
-21
Express (-1 - 3*r**2 + 1)*(2 + 7 + 5) as k*r + o*r**2 + n and give o.
-42
Rearrange (2*o**2 + 2*o**2 - 5*o**2)*(-o + 2*o - 2*o) + 35*o**3 + 118*o**2 - 118*o**2 to the form h*o + y + s*o**2 + g*o**3 and give g.
36
Rearrange (-d**3 - 3*d**3 + 2*d**3)*(4*d + d - 4*d) + (-4*d**2 + 3*d**3 + 4*d**2)*(-4*d - 3*d + 0*d) to the form b*d**3 + l*d + h*d**4 + n + i*d**2 and give h.
-23
Rearrange (-4*c**3 + c**3 + 2*c**3)*((-15 - 2 - 1)*(-3*c + 0*c + 5*c) + c + 0 + 0) to the form b + h*c + q*c**4 + j*c**3 + u*c**2 and give q.
35
Rearrange 0*o + 5 - 4*o + 2*o to z*o + h and give h.
5
Express 12*w**3 - 11*w**2 + 7*w**2 + w**2 + w**2 + 2 + 2*w as b*w**2 + d + i*w + j*w**3 and give b.
-2
Express (-2*v + 2*v + 2*v)*(0 - 3 + 1) + (4*v + 14 - 14)*(1 + 3 - 3) - v + 6*v - v as n + c*v and give c.
4
Rearrange (-7*x**3 + 7*x**3 + x**2 + 5*x**3)*(-102 + 102 - 30*x) to the form p + u*x**2 + o*x**4 + m*x**3 + w*x and give m.
-30
Express u + u - u + (-3 - 3 + 4)*(u + 2*u - 2*u) + 576 - 27*u - 576 in the form g + x*u and give x.
-28
Express (-2*y + 2*y - 2*y - y + 3*y - 3*y + (0*y + 0*y - 2*y)*(-3 + 2 + 3))*(-4*y**2 + 7*y - 7*y) as r + x*y**3 + l*y**2 + m*y and give x.
28
Rearrange (5*o + 4*o - 4*o)*(-2*o**2 + o - o)*(-9 + 3 - 4) to the form q*o**3 + u*o + j*o**2 + i and give i.
0
Express (84*o + 85*o - 179*o)*(-4 + 4 - 3*o) in the form h*o**2 + y*o + v and give h.
30
Express -5*p + 0*p - 5*p**3 + 3*p as b*p**2 + l + a*p + f*p**3 and give f.
-5
Rearrange 0 + c**2 + 0*c**2 - 4 to the form u*c**2 + y + r*c and give u.
1
Rearrange -3 + 3 - 17*y to the form g*y + h and give g.
-17
Rearrange -l**2 - 8 - 2 + 3*l**2 + 2 to c*l**2 + g + r*l and give r.
0
Rearrange -k**3 - 2*k**4 - k**2 + 10*k**3 - 4*k**3 - 3 - 7*k**3 to g*k**3 + m + q*k**4 + s*k**2 + w*k and give g.
-2
Rearrange -77*x - 3 + x**2 + 77*x to the form v + j*x**2 + k*x and give v.
-3
Rearrange (-16*v**3 + 11*v**3 + 12*v**3)*((v - v - 3*v)*(3 + 2 - 7) - 2*v + 2 - 2) to the form i*v**3 + z*v + q*v**4 + k + o*v**2 and give q.
28
Express 2*y - y + 5109 - 5084 + 0*y in the form m*y + k and give k.
25
Rearrange 4*b**2 - 43*b + 43*b + 43*b**2 to j + a*b + z*b**2 and give z.
47
Express -9*b**3 - 9*b**2 + 4*b**2 + 5*b**2 + 1 as a*b**3 + s + d*b + q*b**2 and give a.
-9
Rearrange (-3 + 5 - 4)*(4 + 12 - 8)*(1 - 1 + 2*a) to z*a + m and give z.
-32
Rearrange (-2 - 3 + 3)*(p - p - p)*(-9 + 0 - 1) to g*p + b and give g.
-20
Express 4*p**4 - 5*p**4 + 12*p**4 + (-3 + 3 - p)*(2 + p**3 - 2) in the form v*p**3 + u*p**2 + l*p**4 + y*p + t and give l.
10
Rearrange (0 - 2*m + 0 - 2)*(8*m**3 - 11*m**3 - 22*m**3) to the form p*m**3 + c*m**2 + y + w*m**4 + l*m and give w.
50
Express t + 84*t**2 + 1 + 2 - 83*t**2 as s*t**2 + u + q*t and give u.
3
Rearrange (0*a**4 + 3*a**4 - a**4)*(-1 - 3 - 3)*(17 - 5 + 7)*(-3 + 2 + 0) to the form o*a + l + z*a**3 + b*a**4 + u*a**2 and give b.
266
Express -4*b + 3*b + 3*b - b**3 - 2 as i*b + u*b**3 + z*b**2 + c and give c.
-2
Express -5*t - 4*t**2 + 5*t + (6*t - 4*t - t)*(7 - 9 + 7 + 2*t) as u*t + h*t**2 + r and give u.
5
Express (4 - 4 - q)*(0 + 0 + 2*q**2) + 23*q + 33 - 2*q**3 - 33 + 1 + 2*q**2 in the form u*q**2 + s + p*q + f*q**3 and give s.
1
Rearrange 45*i**2 - 99*i**2 + 51*i**2 to the form x*i**2 + q + v*i and give x.
-3
Express -4*j + 2*j - 3*j**3 - j**3 - j**4 - j**3 in the form x*j**2 + y*j + b + d*j**4 + n*j**3 and give y.
-2
Rearrange (4*a**3 - 2*a**3 + 0*a**3)*(a - 3*a + 3*a) + 0*a + 2*a**4 + 0*a + 58*a**4 - 48*a**4 + 0 + 2 to t*a**2 + z*a**3 + b*a**4 + l + s*a and give l.
2
Rearrange 0 + 2*w**2 + 0 + (-3*w - 3*w + 3*w)*(-3*w + 6*w - 2*w) + 0*w**2 - 2*w**2 + 0*w**2 to z + c*w + l*w**2 and give l.
-3
Rearrange -14*l**4 - l**2 - l + 0*l + 13*l**4 to s*l**3 + v*l + x*l**4 + n + f*l**2 and give f.
-1
Express 11*k + 2507 + 10*k - 2507 as y + a*k and give a.
21
Rearrange d + d + 12*d + (1 - 1 + d)*(-4 + 8 + 9) to q*d + y and give q.
27
Rearrange -4*i**2 + 11 - 23 + 3 to the form n*i**2 + y*i + c and give c.
-9
Express (-2 + 2 + 1)*(6*k - 126*k**2 - 126*k**2 - 2*k**3 + 253*k**2) in the form t*k + f + r*k**2 + b*k**3 and give b.
-2
Rearrange -17*n + 18*n + 13*n + 22*n to the form b*n + q and give q.
0
Rearrange -2*r**2 + 2*r - 31*r**4 + 3 + 29*r**4 - 2*r + 4*r to the form m + p*r + f*r**3 + g*r**4 + j*r**2 and give g.
-2
Express (-4 - 56*r + 16*r + 2)*(-r + 1 - 1) in the form f*r**2 + x*r + a and give x.
2
Express (0*t - t**3 + 0*t)*(2 - 2 - 1) - 2*t**3 + 7 - 7 + 3*t**3 - 4*t**3 + 3*t**3 as p*t + o*t**3 + i*t**2 + j and give o.
1
Rearrange 0*l**3 + 7*l**3 + 3 - 10*l**3 + 5*l**3 to the form i*l**3 + m*l**2 + p*l + s and give s.
3
Rearrange 3*p + 3*p + 37 - 7*p + (-1 + 2*p + 1)*(-3 + 1 + 3) to the form i + y*p and give i.
37
Rearrange (0*u + 2*u + 0*u)*(-7 + 3 + 2 - 1 - 6 + 4 + (0 + 0 - 1)*(-2 + 3 - 4)) to the form n + h*u and give h.
-4
Express (1127 - 28*h - 1127)*(7 + 0 - 1 - 2) in the form w + x*h and give x.
-112
Rearrange -5*l + l + 3*l to the form o*l + t and give o.
-1
Express -c**4 + 27*c**2 - 56*c**2 - 2*c + 2*c**3 - 4 + 30*c**2 in the form a*c + i*c**4 + k + v*c**3 + p*c**2 and give v.
2
Express (25 - 13 + 3*z - 11)*(-5*z - 2*z + 2*z) as p*z + r*z**2 + y and give r.
-15
Rearrange -t**2 - 5 + 6 - 4 + (-t + 5*t - 2*t)*(-t + t - 2*t) + 2*t**2 - 4*t**2 + 0*t**2 to c*t**2 + g*t + j and give g.
0
Express 3*n**3 + n**2 + 0*n**2 - 2*n**4 + 1 + 3*n**4 - 4*n**3 as k*n + a*n**3 + t + f*n**2 + s*n**4 and give t.
1
Rearrange 2*j**2 - 6*j**2 + 3*j**2 - 20*j to the form b + p*j + z*j**2 and give z.
-1
Express (-2*l + 3*l + 5*l)*(2*l + l - l)*(-2 - 1 + 2) as q*l**2 + x + u*l and give q.
-12
Express -63 + 63 - 11*p**2 - 3 + 3 + p**2 + (2*
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from aphxpvahapl?
1/1320
What is prob of sequence hy when two letters picked without replacement from sssyxynhybyhsss?
4/105
Calculate prob of sequence aa when two letters picked without replacement from aja.
1/3
Four letters picked without replacement from {d: 3, v: 6, x: 3, w: 4, j: 4}. What is prob of sequence jjvx?
3/1615
Four letters picked without replacement from hdygoggohhfdfh. Give prob of sequence hhgy.
3/2002
Calculate prob of sequence ds when two letters picked without replacement from kssssddskdsdsdssd.
27/136
Two letters picked without replacement from jhvhhvvvvhvhzzhvh. Give prob of sequence vv.
21/136
Two letters picked without replacement from prrpepppeeep. Give prob of sequence er.
2/33
What is prob of sequence yu when two letters picked without replacement from wwykuaj?
1/42
Calculate prob of sequence aaq when three letters picked without replacement from llelaaflqlqllbfb.
1/840
Calculate prob of sequence rw when two letters picked without replacement from rrrrrrrw.
1/8
Three letters picked without replacement from ggmggwggmwggmgwgmgwg. What is prob of sequence wmw?
2/285
What is prob of sequence bbj when three letters picked without replacement from {j: 6, b: 2}?
1/28
Three letters picked without replacement from nttnaftnhfhnacffh. What is prob of sequence nha?
1/170
Four letters picked without replacement from {n: 12, g: 3}. Give prob of sequence gngn.
11/455
What is prob of sequence uhuh when four letters picked without replacement from {h: 4, u: 3}?
3/35
Calculate prob of sequence ba when two letters picked without replacement from {z: 2, q: 3, b: 1, a: 1}.
1/42
Calculate prob of sequence hnzh when four letters picked without replacement from jnhjpzzjjlljhpllhjl.
1/7752
Three letters picked without replacement from {m: 1, a: 1, g: 2, y: 2}. What is prob of sequence mya?
1/60
Calculate prob of sequence lk when two letters picked without replacement from {l: 1, u: 3, k: 2, v: 1}.
1/21
Calculate prob of sequence zbjz when four letters picked without replacement from {b: 4, j: 3, z: 13}.
26/1615
Two letters picked without replacement from {r: 5, v: 1, b: 5, x: 4}. Give prob of sequence vx.
2/105
Two letters picked without replacement from {i: 3, z: 2, a: 7, x: 3, k: 5}. What is prob of sequence ak?
7/76
Four letters picked without replacement from {t: 3, o: 5, l: 7, s: 1}. Give prob of sequence osol.
1/312
Three letters picked without replacement from {i: 6, p: 6}. Give prob of sequence pii.
3/22
Two letters picked without replacement from nynnetntttnnypt. What is prob of sequence pt?
1/42
Four letters picked without replacement from {y: 13, c: 5, z: 2}. What is prob of sequence yyyz?
143/4845
Three letters picked without replacement from {u: 2, s: 2}. Give prob of sequence usu.
1/6
Three letters picked without replacement from {u: 1, z: 1, v: 1, g: 1, s: 1}. What is prob of sequence uzv?
1/60
Three letters picked without replacement from {o: 8, z: 2, p: 3, s: 6}. Give prob of sequence pzp.
2/969
Four letters picked without replacement from {o: 2, r: 2, p: 5}. What is prob of sequence poro?
5/756
Two letters picked without replacement from {u: 1, j: 2, p: 1, i: 3}. Give prob of sequence ui.
1/14
Calculate prob of sequence yd when two letters picked without replacement from hmdmmryryhrhmmdhhrr.
2/171
Calculate prob of sequence cbhr when four letters picked without replacement from {n: 1, c: 1, b: 5, r: 3, t: 2, h: 1}.
1/1144
Two letters picked without replacement from ccjq. What is prob of sequence cc?
1/6
Four letters picked without replacement from {v: 4, m: 2, j: 4, w: 10}. What is prob of sequence vmvj?
4/4845
Two letters picked without replacement from {b: 6, f: 3, l: 8, c: 2}. Give prob of sequence fl.
4/57
What is prob of sequence sso when three letters picked without replacement from {o: 1, s: 2, a: 1, r: 1, q: 1, c: 1}?
1/105
Four letters picked without replacement from ltvrrrlrttttttrrtvtt. What is prob of sequence tltl?
1/646
Four letters picked without replacement from {h: 4, a: 2, u: 2}. Give prob of sequence auua.
1/420
What is prob of sequence dt when two letters picked without replacement from {t: 2, g: 5, i: 1, d: 1, e: 3, h: 3}?
1/105
Three letters picked without replacement from doaoeeddddddd. Give prob of sequence oed.
8/429
What is prob of sequence yx when two letters picked without replacement from {y: 6, x: 4}?
4/15
Four letters picked without replacement from qqbbqqqbbqbbb. Give prob of sequence qqqb.
7/143
Four letters picked without replacement from {o: 4, z: 1, v: 11, t: 2, p: 1}. Give prob of sequence vpov.
55/11628
Four letters picked without replacement from {t: 6, e: 5, y: 1, f: 4, q: 4}. What is prob of sequence effy?
1/1938
Calculate prob of sequence fm when two letters picked without replacement from fmlllfnfllllfffbfb.
7/306
What is prob of sequence tcx when three letters picked without replacement from {u: 1, x: 2, t: 1, c: 1}?
1/30
Two letters picked without replacement from ccczzzzeze. What is prob of sequence ce?
1/15
Calculate prob of sequence oo when two letters picked without replacement from oeeooe.
1/5
What is prob of sequence ai when two letters picked without replacement from wqcacicc?
1/56
Four letters picked without replacement from {t: 1, n: 1, w: 1, g: 1, i: 4}. Give prob of sequence giit.
1/140
What is prob of sequence zrrr when four letters picked without replacement from rrrrrrzrzrrrrrrrrrrz?
2/19
Two letters picked without replacement from {n: 1, a: 1, z: 1}. What is prob of sequence zn?
1/6
What is prob of sequence exg when three letters picked without replacement from xexgxgxmx?
5/252
Calculate prob of sequence mm when two letters picked without replacement from nmnmmnmnnnmnnmmmmn.
4/17
Calculate prob of sequence yo when two letters picked without replacement from yyoyoyyyy.
7/36
What is prob of sequence gzzo when four letters picked without replacement from {e: 1, h: 1, o: 2, g: 1, z: 2}?
1/210
Four letters picked without replacement from hzeezzazhezeeyzzzaya. Give prob of sequence ehaz.
2/969
Two letters picked without replacement from fzezflb. What is prob of sequence ff?
1/21
Three letters picked without replacement from gouuuyygeeyueueeog. Give prob of sequence oyg.
1/272
Calculate prob of sequence hncn when four letters picked without replacement from hhhnhnnzccnzncc.
8/819
Two letters picked without replacement from {k: 17, p: 2}. What is prob of sequence kp?
17/171
Four letters picked without replacement from fpneppenpyn. Give prob of sequence feep.
1/990
Calculate prob of sequence ef when two letters picked without replacement from {f: 1, d: 2, y: 2, e: 2, x: 3, h: 2}.
1/66
Four letters picked without replacement from {p: 2, r: 2, e: 2}. Give prob of sequence eppe.
1/90
Calculate prob of sequence vxp when three letters picked without replacement from {w: 11, p: 1, v: 3, o: 1, x: 2, h: 1}.
1/969
Calculate prob of sequence aap when three letters picked without replacement from {a: 3, p: 11}.
11/364
Calculate prob of sequence qq when two letters picked without replacement from {a: 10, m: 6, q: 4}.
3/95
Calculate prob of sequence bp when two letters picked without replacement from {b: 1, p: 2, a: 5, e: 3, l: 1}.
1/66
Four letters picked without replacement from uxlllllxlxloxluxxx. Give prob of sequence oxux.
7/6120
What is prob of sequence bqzm when four letters picked without replacement from qmquyymmymzymqqzbmz?
1/1292
What is prob of sequence hx when two letters picked without replacement from {x: 4, i: 3, h: 4}?
8/55
Two letters picked without replacement from tjwjjawjt. Give prob of sequence ta.
1/36
Calculate prob of sequence rmm when three letters picked without replacement from {m: 6, d: 2, r: 2, u: 1}.
2/33
What is prob of sequence zbq when three letters picked without replacement from {q: 2, z: 1, b: 1}?
1/12
What is prob of sequence vddv when four letters picked without replacement from vvddvddddvdvvvdddvvd?
22/323
What is prob of sequence yxxx when four letters picked without replacement from {y: 7, x: 3}?
1/120
Four letters picked without replacement from vrrjk. Give prob of sequence jvvj.
0
What is prob of sequence qzf when three letters picked without replacement from {z: 2, q: 3, f: 2, o: 2}?
1/42
Two letters picked
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4. Let r(q) = -3*q**2 - 11*q + 8. Let n(g) = -9*o(g) - 4*r(g). What is the units digit of n(3)?
8
Let s(v) = v**2 - 8*v - 2. Let g be s(8). What is the units digit of 9/((-3)/g - 0)?
6
Let p(w) = w**3 - 8*w**2 + 9*w - 10. Let v be p(7). Suppose 0*o + o = v. What is the units digit of o?
4
Suppose 0 = 8*p - 17*p + 3123. What is the tens digit of p?
4
Let y = 225 - 133. Suppose 3*d - 4*w - w - y = 0, -83 = -2*d - w. What is the units digit of d?
9
Suppose 10 = -0*w + w. What is the units digit of (w/7)/(4/28)?
0
Let h(n) = -4*n - 5. Suppose -4*s + 8 = 4*b, -2 - 10 = -4*s - 3*b. Let i = -10 + s. What is the tens digit of h(i)?
1
Suppose 189 = 3*y + 5*v, 0 = -2*y + 5*v + 15 + 86. What is the tens digit of y?
5
Let s = -141 - -242. What is the tens digit of s?
0
Let v = -4 + 1. Let c be v*(-1 - (3 + -2)). Suppose -c = -x - 5. What is the units digit of x?
1
Let d be 171/(-13) - 4/(-26). Let b = d - -30. What is the tens digit of b?
1
Let j(c) = -c**3 + 5*c**2 - 4*c + 3. Let l be j(4). Suppose 16 = k + l*q, 3*k - 5*q - 8 = 26. What is the units digit of k?
3
Let k be 12/9*(-3)/(-2). Let o be (6 - 1)*k/(-5). What is the units digit of (o - (-3 + 2))*-8?
8
Let w be (-6)/3*1*-1. Suppose -56 = -4*x + w*k + 2*k, 3*k = 9. What is the units digit of x/3 - 1/(-3)?
6
Suppose 2*v = 3 + 1. What is the units digit of (-6 + v)*(-2)/4?
2
Suppose 1 = 4*q - 15. Suppose -5*u + u + q = 0. What is the units digit of u?
1
Let m(s) = -s**2 - 5*s - 2. Let w be m(-3). Let a = -1 + w. Suppose -i + 9 = -a*t, 0*i = 4*i + 3*t - 6. What is the units digit of i?
3
Let k = -21 + 21. What is the units digit of 30 - (-1 + -1) - k?
2
Let x(u) = 25*u**2 + u + 1. Let p(t) = -t**2 + t - 1. Let a be p(0). What is the tens digit of x(a)?
2
Let w(m) = 3 + 4*m - 4 - m**3 - 5 - 7*m**2 + 0*m**3. Let j be w(-7). Let v = -23 - j. What is the units digit of v?
1
What is the units digit of (-2)/(-11) + (-42693)/(-231)?
5
Suppose 5*m - 25 = -2*d, -d - 5*m = -15 - 5. Suppose d*o - 119 = 96. What is the units digit of o?
3
Let w(o) = o + 1. Let y be w(-1). Suppose -f - 4*f + 5 = y. What is the units digit of 57/6*f*2?
9
Suppose 2*r = -0*r + 8. Let m = r - -7. What is the tens digit of m?
1
Let f(r) = 2*r**2 + 16*r + 70. What is the tens digit of f(-14)?
3
Suppose -2*b - 6 = 0, -4*c + 4*b = 2*b - 74. What is the units digit of c?
7
Suppose -2*z + 4*z - 40 = 0. Suppose 0 = -h - 5 + z. What is the units digit of h?
5
Let x(a) = -2*a + 5. Let n be x(8). Let g = -6 - n. What is the units digit of g?
5
Suppose 0 = -2*i - 6 + 10. Suppose 0 = -3*h + o + 84, 2*h + o - 56 = i*o. What is the tens digit of h?
2
Let a(l) be the third derivative of -l**5/60 + l**4/3 - 5*l**3/6 + 4*l**2. What is the tens digit of a(5)?
1
Suppose -2*f - 5*b = -340, -7*f = -2*f - 2*b - 850. What is the units digit of f?
0
Let t(v) be the second derivative of v**5/20 - v**4/2 - v**3 + 3*v**2/2 + 3*v. Suppose -f - 29 = -6*f + 3*m, f + 4*m = 15. What is the tens digit of t(f)?
1
Suppose -6*f + 57 = 15. Suppose -f*a + 176 = -3*a. What is the tens digit of a?
4
Suppose 2*q + 2 = 0, -3*d + 4*q + 111 = q. Suppose 15 - d = n. What is the units digit of (14/n)/(1/(-9))?
6
Let s = 56 - 27. Suppose -37 = -2*l + 5. Let c = s - l. What is the units digit of c?
8
Suppose 4 = -p - 3*r + 5, -3*p - 32 = 2*r. Let f be (-4)/p - 6/21. Suppose f = -3*k - 4*q + 43, 3*q + 11 = k + q. What is the tens digit of k?
1
Suppose 242 + 160 = 6*c. What is the units digit of c?
7
Let h(k) = k**2 - 15*k + 14. Let b be h(15). Suppose -2*a - 12 = -4*a. Let z = a + b. What is the units digit of z?
0
What is the tens digit of 250/30*(-6)/(-2)?
2
Let n(b) = -b**2 + 5*b - 2. Suppose -5*m + 33 = 2*j, 3*j - 2 = -2*m + 5*j. Let w be n(m). Let r = 2 - w. What is the units digit of r?
4
Suppose -2*b = -k + 8, 3*b - 6 = -0*k - 3*k. Suppose 0 = 4*f + f + 4*s - 121, -k*s - 68 = -4*f. What is the tens digit of f?
2
What is the tens digit of 1/6 - 322/(-12)?
2
Suppose 2*c = -4*k + 90, c = -c + 4*k + 130. What is the tens digit of c?
5
Suppose p - 7*f - 7 = -4*f, -2 = -p - 2*f. Suppose 2*i = -2*z + p + 58, z = i + 33. What is the tens digit of z?
3
Let l(t) = t - 1. Let w(r) = -r + 3. Let n(b) = -5*l(b) - 2*w(b). Let u be n(-3). Let v = 14 - u. What is the units digit of v?
6
Suppose 0 = 6*z + 34 - 628. What is the units digit of z?
9
Let y = 1055 - 684. What is the units digit of 1/6 - y/(-42)?
9
Let o = -94 + 140. Suppose 2*y - 8 = 2*m - o, 5 = -m - 5*y. What is the tens digit of m?
1
Let q(k) = 3*k**2 - 6*k + 5. What is the units digit of q(4)?
9
Suppose h = 3*h - 48. What is the tens digit of h?
2
Suppose 3*k = 2*n + 6*k - 1, 4*n + 4*k = -4. Let l be (-2 - n)*(2 - 1). What is the units digit of (-2)/((l - -1)/(-15))?
0
Suppose -f - 84 = 2*f. Let g = 39 + f. What is the units digit of g?
1
Let d be 136 + -4*4/(-8). What is the units digit of ((-3)/(-9))/(2/d)?
3
Let r(y) = -2*y**3 + 4 + 4*y**3 + 2*y - 4*y**2 - y + 2*y. Let m be r(3). Suppose 0 = -2*c + 6*c + x - m, 2*x = 5*c - 55. What is the units digit of c?
9
Suppose -7*n + 189 = -1190. What is the units digit of n?
7
Let o be 51 - 3*2/6. Suppose 2*s - 5*a - 26 = 0, 6*a - a + o = 5*s. Suppose 0 = 3*f - 2*f - s. What is the units digit of f?
8
Suppose -2*o = -6*o. What is the units digit of o - (-5)/(-1 - -2)?
5
Let j(x) = -x**2 - 7*x + 9. Let i be j(-8). Let l = i + 3. Suppose 47 = l*y + 3. What is the tens digit of y?
1
Let b be -3*(10/6 + -2). Let k(o) = 9*o + 1. Let z be k(b). Let w = 16 - z. What is the units digit of w?
6
Let b(w) = -21*w**3 - w - 1. Suppose -6*l - 3 = -3*l. What is the units digit of b(l)?
1
Suppose 41 = 4*j - 43. What is the units digit of j?
1
Let s = -4 + -10. Let p = s + 35. What is the units digit of p?
1
Suppose -5*c + 6*r - 3*r + 147 = 0, 0 = 5*c + 3*r - 153. Suppose -2*j + 4*j = c. What is the tens digit of j?
1
Let s = 85 + -61. Let u = s + -7. What is the tens digit of u?
1
Let p = 15 + -7. Suppose -4*a + p = 5*i - i, 2*a + 24 = 5*i. What is the units digit of i?
4
Let m(g) = -g**3 + 6*g**2 + 8. What is the units digit of m(6)?
8
What is the tens digit of 4/(-4 - (-22)/5)?
1
Suppose d = -0*d + 5*p - 14, 5*d - 4*p = -7. Let u be d/((-12)/9)*-4. What is the units digit of (11 + u)/(0 - -2)?
7
Suppose -6*s = -s - 80. What is the tens digit of s?
1
Let k(t) = t**3 + 5*t**2 - 6*t - 5. Let m be k(-6). Let w = m + 6. What is the units digit of w?
1
Suppose 13*s - 2646 = 4*s. What is the tens digit of s?
9
What is the tens digit of (-855)/(-12) + (-12)/(-16)?
7
Suppose 4*m + 11 = s, -15 = -2*s + 5*m + 1. Let v = 2 + s. What is the units digit of v?
5
Suppose -n - 3*f = -2, -2*n + 2*f - 4*f = -8. Let j(z) = -z + 8. Let g be j(n). Suppose 0 = 4*k - g*k - 6. What is the units digit of k?
6
Let j = 5 + -6. Let l be 2/4*(-6)/j. Suppose -h = -l*h + 16. What is the units digit of h?
8
Let c(o) = -o - 1. Let g(b) = 3*b + 10. Let f(n) = 1. Let t(y) = -6*f(y) + g(y). Let v(k) = -5*c(k) - t(k). What is the units digit of v(2)?
5
Suppose 5*a - 6 = 4. Suppose a*l - 24 = -2*l. What is the units digit of (16/l)/(6/9)?
4
Suppose -3*w + c + 10 = -c, 5*w - c - 12 = 0. Suppose -w*v + 92 = -5*v + s, -4*v - 112 = 4*s. What is the units digit of v/(-7) + 10/(-35)?
4
Let g = 9 + -8. What is the units digit of g?
1
Suppose 0 = -4*d + 211 + 185. What is the units digit of d?
9
Suppose -12 = -3*y - 3*n, -4*n + 16 = -y + 4*y. Suppose 3*b - 4*b = y. Suppose -m - t + 6 = 0, -4*m + b*t + 36 = t. What is the tens digit of m?
1
Let p(l) = -l**2 + 12*l - 9. What is the tens digit of p(8)?
2
Let r(q) = q**2 + q + 1. Let h be r(-4). Suppose x + 0*x = h. What is the units digit of x?
3
Suppose 0 = 5*w - w - 224. What is the tens digit of w?
5
Suppose 2*l - 60 = -20. Let o = l + -50. What is the units digit of ((-4)/(-5))/((-6)/o)?
4
Let g = 42 - 18. Suppose -3*t + 60 = g. What is the tens digit of t?
1
Let v(y) = -8*y + 3. What is the units digit of v(-4)?
5
Let b = 85 - 13. Suppose 3*s = -0*s + b. Let k = 42 - s. What is the tens digit of k?
1
Let z = -8 + 8. Suppose -m + 0*m + 24 = z. What is the units digit of m?
4
Suppose -15 - 1 = -2*i. Suppose -2*o + c - 6*c = -i, o = 4*c + 17. Suppose 3*m - o = -0*b - 2*b, -3 = -b - 2*m. What is the units digit of b?
9
Suppose 5 = 3*c - 1. Let j be 11/c + (-3)/(-6). Suppose j*n - 3*n = 3
|
{
"pile_set_name": "DM Mathematics"
}
|
composite number?
True
Is 10582492331 a prime number?
True
Is 1357740119 composite?
True
Is 916658291 composite?
False
Is 38046501907 a prime number?
False
Is 340543283 a composite number?
True
Is 5834726389 a composite number?
True
Is 16899305767 prime?
True
Is 6923327693 prime?
True
Is 770758349 prime?
True
Is 30024478049 a prime number?
True
Is 9456393263 a prime number?
True
Is 188968337 a prime number?
True
Is 8167151 a composite number?
False
Is 40051085603 a prime number?
True
Is 10695428867 a prime number?
True
Is 13463644213 composite?
False
Is 37763128187 a prime number?
False
Is 7212770843 a prime number?
True
Is 2954900867 a prime number?
False
Is 1221560887 a composite number?
False
Is 3545692999 prime?
False
Is 1984326397 prime?
True
Is 2605627286 a prime number?
False
Is 152764411 a prime number?
True
Is 22090401467 prime?
True
Is 14379808103 a prime number?
True
Is 1447502921 composite?
False
Is 1794563119 a composite number?
False
Is 979775881 composite?
True
Is 24419353613 composite?
True
Is 11078373793 a composite number?
False
Is 4781011259 a prime number?
False
Is 15834726463 composite?
False
Is 642332147 a prime number?
True
Is 56925863 composite?
False
Is 568385333 prime?
True
Is 11991400549 composite?
False
Is 5070355219 composite?
True
Is 33819907 prime?
False
Is 1407351133 prime?
True
Is 1196166373 prime?
False
Is 1212454519 composite?
True
Is 11416068221 a prime number?
False
Is 7899878639 prime?
False
Is 16708710001 prime?
True
Is 38872601731 prime?
True
Is 1014940501 composite?
False
Is 29233265011 prime?
True
Is 5256302803 composite?
False
Is 7980474589 a prime number?
False
Is 233939438141 a prime number?
False
Is 723640913 a prime number?
True
Is 2410119317 a prime number?
True
Is 12840004841 prime?
True
Is 245017867 prime?
False
Is 5922170389 a prime number?
False
Is 1338527891 a prime number?
False
Is 130297820153 composite?
False
Is 815726843 a composite number?
False
Is 1585293569 a prime number?
True
Is 3424512562 a prime number?
False
Is 5193243655 prime?
False
Is 1799548213 prime?
False
Is 3788947439 prime?
True
Is 5919793441 a prime number?
True
Is 298545319 prime?
True
Is 398616415 a composite number?
True
Is 68510305907 prime?
True
Is 1788076613 a prime number?
True
Is 53557354833 a composite number?
True
Is 1005946427 a prime number?
True
Is 965984167 prime?
False
Is 53607179 prime?
False
Is 807982874 composite?
True
Is 22604789803 composite?
False
Is 238893989 prime?
False
Is 34161879431 composite?
False
Is 42949883 prime?
True
Is 2542140073 a prime number?
False
Is 554941609 prime?
False
Is 205539913 composite?
False
Is 104099076811 prime?
True
Is 119335419381 a prime number?
False
Is 77279368559 a prime number?
True
Is 155436626 composite?
True
Is 13484615783 a prime number?
True
Is 469079909 prime?
True
Is 5492450239 a composite number?
True
Is 23816378887 a composite number?
True
Is 6053512307 a composite number?
False
Is 24740520589 a composite number?
True
Is 371469151 composite?
False
Is 3382147 prime?
True
Is 266780593 prime?
False
Is 27510083677 prime?
False
Is 7611646529 a prime number?
False
Is 55373765803 a prime number?
True
Is 7511785067 a prime number?
True
Is 937927843 a composite number?
False
Is 36528749851 prime?
False
Is 1771045699 prime?
True
Is 196276607 a composite number?
False
Is 589315157 prime?
True
Is 10573247 a prime number?
False
Is 18620921393 a prime number?
True
Is 57855227 prime?
True
Is 14388945349 prime?
True
Is 1148927933 composite?
False
Is 311169011 a prime number?
True
Is 4687202743 prime?
True
Is 16725925571 composite?
True
Is 876437371 a composite number?
True
Is 3244437791 a composite number?
True
Is 2328431693 composite?
True
Is 300021747271 composite?
False
Is 7635605363 prime?
True
Is 1602614581 a prime number?
False
Is 10501245523 a prime number?
True
Is 6242394863 composite?
True
Is 7578310897 prime?
True
Is 28050518737 composite?
False
Is 520772053 composite?
True
Is 14012105559 a prime number?
False
Is 123553635407 composite?
False
Is 51227767229 a prime number?
True
Is 4415978971 prime?
False
Is 4501551701 a prime number?
True
Is 211715411 a composite number?
True
Is 12936033427 a composite number?
False
Is 7957557401 composite?
True
Is 96682307965 a composite number?
True
Is 6494240231 prime?
True
Is 2872488313 composite?
True
Is 10179544651 a prime number?
False
Is 115833394643 a prime number?
True
Is 3557441281 a composite number?
True
Is 110520350131 a composite number?
True
Is 3564743431 prime?
False
Is 31365127397 a prime number?
True
Is 668600171 composite?
False
Is 2898993703 a prime number?
False
Is 19075603 composite?
False
Is 23408553283 a composite number?
True
Is 65269290109 composite?
True
Is 2991381767 a prime number?
False
Is 18886279631 composite?
True
Is 518250181 prime?
True
Is 3890533813 composite?
False
Is 2372808793 prime?
True
Is 336229163 prime?
False
Is 524489759 composite?
False
Is 9617295673 a prime number?
False
Is 975575593 prime?
True
Is 377292719 prime?
True
Is 27446633 composite?
True
Is 257556809 a composite number?
True
Is 2337864761 a composite number?
False
Is 664953283 prime?
False
Is 6039318319 composite?
False
Is 6903224047 a composite number?
False
Is 12664161578 prime?
False
Is 50245244341 a prime number?
True
Is 203449090613 a prime number?
False
Is 4435034297 a prime number?
True
Is 124152209 prime?
True
Is 1456680521 composite?
False
Is 2004466033 a prime number?
False
Is 976728217 composite?
True
Is 582894239 a composite number?
False
Is 1272739511 prime?
True
Is 6838876049 a composite number?
False
Is 4378074163 a composite number?
False
Is 5517382174 prime?
False
Is 160287587 prime?
False
Is 806527019 prime?
False
Is 2175227207 a prime number?
True
Is 2148797759 a composite number?
True
Is 1627645727 a prime number?
True
Is 4283915621 prime?
False
Is 215376838077 a prime number?
False
Is 11320559807 prime?
True
Is 33695657647 a composite number?
False
Is 1398377294 a prime number?
False
Is 2076664643 a prime number?
True
Is 2748591893 prime?
False
Is 17256594981 prime?
False
Is 15372117673 composite?
True
Is 13167214721 composite?
True
Is 631465417 a prime number?
False
Is 535117967 a prime number?
True
Is 189176557 a composite number?
True
Is 122616498569 prime?
True
Is 41673876529 a prime number?
False
Is 1914690341 a composite number?
False
Is 5058443053 prime?
False
Is 20286457027 a prime number?
True
Is 2101644401 prime?
False
Is 26778442487 prime?
True
Is 35000341391 composite?
False
Is 1502244949 prime?
True
Is 9447022183 prime?
True
Is 338738987 a composite number?
False
Is 26312344777 a composite number?
False
Is 298171771 a composite number?
False
Is 28232407817 a composite number?
True
Is 235144909 a composite number?
False
Is 35101437659 a composite number?
False
Is 21942549439 prime?
True
Is 6308709151 prime?
True
Is 2658078377 a composite number?
True
Is 105902521 prime?
True
Is 153641129 a composite number?
True
Is 567866981 a composite number?
True
Is 130063181 composite?
False
Is 391182859 a composite number?
True
Is 557470502 a composite number?
True
Is 56946289195 composite?
True
Is 55250444251 composite?
True
Is 29737664759 a prime number?
False
Is 16960824983 a prime number?
False
Is 2346787769 composite?
False
Is 866267921 prime?
False
Is 53726162057 a prime number?
False
Is 1670186191 prime?
False
Is 8386662857 composite?
True
Is 980139257 a prime number?
True
Is 3756754853 a composite number?
False
Is 90726900037 composite?
False
Is 9106365865 a composite number?
True
Is 518528623 a prime number?
True
Is 1822611187 prime?
True
Is 9794359567 composite?
True
Is 5384278541 prime?
False
Is 1311170261 a prime number?
True
Is 704862479 a composite number?
False
Is 6391338539 prime?
True
Is 332507759 composite?
False
Is 89213934197 a prime number?
False
Is 385603541 prime?
True
Is 225793711261 prime?
True
Is 1976759459 prime?
True
Is 12293797603 composite?
True
Is 32499211847 composite?
False
Is 121294247 a prime number?
False
Is 77712487 prime?
False
Is 9232316059 a composite number?
True
Is 25789232659 a composite number?
True
Is 2342005931 composite?
False
Is 2039549839 a prime number?
False
Is 771678038 a composite number?
True
Is 180065705153 prime?
False
Is 3501992051 a prime
|
{
"pile_set_name": "DM Mathematics"
}
|
*m. Solve 2*f + h = 3*h + 6, 2*f - h - g = 0 for f.
5
Let u be 3/(36/160)*(-336)/35. Let v = u - -129. Solve 4*z + a = -v, a = -5*z - a + 1 for z.
-1
Let d(q) = q**3 + 28*q**2 + 50*q - 48. Let v be d(-26). Let p = -223 - -223. Solve -10 = h - 0*h - 5*o, 3*h - v*o - 3 = p for h.
5
Let p = -60 + 93. Let r = -33 + p. Suppose 5*o = 4*t + 21 + 19, 5*o - 3*t - 35 = r. Solve -3*c + 4*u + 20 = -0*u, 0 = -c + o*u + 12 for c.
4
Suppose v = -3, 4*y - 5 = -121*v + 116*v. Solve -y*h + 5*n - 159 + 189 = 0, 2*h = -n + 6 for h.
4
Let h(l) = 4*l**2 - 16*l - 11. Let g be h(5). Let t(w) = 2*w**2 - 26*w + 72. Let o be t(g). Solve r + n - 4 = o, -4*r = n - 2*n + 4 for r.
0
Let d be (12/(-42) - (-2)/7)/(-2). Suppose d = 3*a + 35 - 41. Solve a*n + 10 = -n - c, n - 5*c = 2 for n.
-3
Let l(y) = 9*y - 36. Let c be l(6). Suppose c = -s + 4*s. Suppose -4*j - 4 = -s*j. Solve -2*x + 3*k = 8, 14 = -3*x - k + j for x.
-4
Let g(h) = 126*h + 1895. Let t be g(-15). Solve 14*o + 8 = -4*y + 18*o, t*y = -2*o + 18 for y.
2
Suppose 4*q + 15 = 9*q. Let v(n) = -n + 4. Let a = 54 - 54. Let o be v(a). Solve q*x + h - o*h - 15 = 0, 3*h = x - 11 for x.
2
Suppose -105 = -5*j + k, -4*k = -3*j + 45 + 1. Let a(q) = 7*q - 151. Let t be a(j). Solve 3*u + 19 = -5*h + 3, 0 = -3*h + t*u for h.
-2
Let s(b) = -853*b - 7673. Let k be s(-9). Solve 2*z = -k*j - 4, 4*z = z - j - 6 for z.
-2
Suppose -2*y - 7*c + 18 = -4*c, -5*c - 18 = -2*y. Solve 3*d = y, -5*r + 0*d - 7 = d for r.
-2
Let s = 94 + -86. Let z(v) = -v**3 + 8*v**2 - 10*v + 83. Let f be z(s). Solve -4*p = 2*b + 4, 0*p - 3*p = 3*b - f for p.
-3
Suppose 171 = 13*f - 89. Solve 2*l - 3*r = -f, 2*l - 2*r + 12 = -4 for l.
-4
Let g(a) = 388*a + 2342. Let o be g(-6). Solve -w = -t - 2, -t - o + 9 = 0 for w.
-3
Let r = 13 - 36. Let m(h) be the third derivative of h**4/24 + 7*h**3 - 10*h**2 - 10*h. Let j be m(r). Solve -5*q - 6*c + 3*c = 19, 3*q + j = 2*c for q.
-5
Let x = 183 - 189. Let u(h) = -h**2 + 21*h + 170. Let w be u(x). Solve -2*p + w*d + 21 = 3*d, 2*p - d = 9 for p.
3
Let v(m) = m**3 - 4*m**2 + 38*m - 212. Let f be v(5). Solve -f*t - 2*y + 3*y - 2 = 0, -t = 5*y + 22 for t.
-2
Let s(v) be the first derivative of 2*v**2 + 21*v - 2. Let u be s(5). Suppose -3 = -42*c + u*c. Solve -5*q + 19 = d, 3*q + 2*q - c*d = 3 for q.
3
Let x be (-1 - (-1)/3) + 3072/72. Suppose 16*v = -x + 122. Let c = 28 + -3. Solve 2*i - p = 2*p + c, -v = -5*i - 4*p for i.
5
Let l be 4 + ((-10)/8 - (-21)/(-28)). Suppose -4*z + 22*b - 24*b + 4 = 0, -z = l*b + 2. Solve -r = -4*d - 13, -z*r + 6*r = -5*d - 11 for d.
-3
Let r(m) = 7*m + 2845*m**2 + 0 + 10 - 2844*m**2. Let v = 27 - 33. Let t be r(v). Solve -4*b - t = 5*k, 4*k + 9*b = 4*b - 5 for k.
0
Let f(i) = -i**3 - 4*i**2 + 6*i + 25. Let t be f(-4). Let u be ((-30)/(-105))/(t/14). Solve 0 = 5*a + 4*k + k - 5, -5*a - u*k = -5 for a.
1
Suppose -k + 80 = 7*k. Suppose -k*d + 118 + 452 = 0. Let q = 60 - d. Solve 0 = -2*n - h - 10, -n - 5 = -q*h + 2*h for n.
-5
Let g(d) = d**2 - 4*d - 2. Let b be g(5). Let r = -1385984 + 1385988. Solve 2*i + r*u = 4 - 28, 5*u + 31 = -b*i for i.
-2
Let f = 10207 - 10199. Solve -4*p - 20 = 5*v, -6*v - f = p - 4*v for p.
0
Suppose -5 = 4*k - i, -k + 4*i + 0*i - 20 = 0. Let q be k + 0 - 30/3*-1. Let p be ((-1)/2)/((-1)/q). Solve -p*f - n = 9, -2*f - 2*f + 8 = -3*n for f.
-1
Suppose 4*u + 4*j + 15 = 5*u, -5*u + 75 = 4*j. Suppose 8*p + 14 = u*p. Solve 9 = k + 2*q, 4*k - p*q = 3*q - 16 for k.
1
Suppose -404 = -v + 2*h - 6*h, 1580 = 4*v - 2*h. Let i be ((-3)/(-2))/((135/v)/5). Solve -2*q = 3*g - i, -18 - 14 = -3*g - 4*q for g.
4
Suppose -3*u + u - 3*q = -83, 0 = -u - 3*q + 43. Suppose 0 = -y + 6*y - u. Suppose -6 = y*l - 6. Solve -5*s + 5*p + 15 = l, -2*s + 4*p = -7 - 9 for s.
-2
Suppose 15*b - b = 166 + 128. Solve 5*p + 33 = 4*w, 5 = w - b*p + 23*p for w.
7
Let a(p) = 49*p - 22*p - 17 - 7*p. Let m be a(1). Solve 3*s - m = 5*s + 3*x, 0 = -2*s + 3*x - 9 for s.
-3
Let g be 13/(195/(-75))*(-2 + 1). Solve -f + 0*f - 1 = a, -5*a = f + g for f.
0
Suppose 142*u + 22 = 147*u + 2*j, -4*u = -5*j - 11. Solve -t - 21 = -u*i, 51 = 11*i + 3*t + t for i.
5
Suppose 2*h = 7*h - 2*n - 7, -3*h - 4*n - 1 = 0. Suppose -13 + h = -3*o. Solve o = 2*y + 4*m - 2*m, -y + m = 2 for y.
0
Suppose 13*g - 4*u = 252, -74*g + 5*u = -75*g + 30. Solve 5*q + 5*p - g = 0, -2*q - 12 = -295*p + 292*p for q.
0
Let l(t) = 4*t - 16. Let v be l(4). Let o(s) = -38*s + 2. Let x be o(v). Solve 0 = u + w + 4*w + 25, 25 = -x*u - 5*w for u.
0
Let t be (-476)/(-63) - 4/18 - 66/(-99). Solve 4*h - t - 4 = 4*y, 4*h + 3*y + 2 = 0 for h.
1
Suppose 0 = -10*c + 25 + 45. Let h be c - (5 + 0 + -2). Solve h*p = i - 2*i - 7, 2*p = 3*i - 7 for i.
1
Suppose 4 = -5*t - 4*g + 21, 3*g - 14 = -4*t. Solve -5*s = -t*n - 3 - 17, 4*s + 16 = -4*n for n.
-4
Let s = 15 + -10. Suppose -2*z - 3*t - 1 = 1, -2*t = -2*z + 8. Suppose 5*w - 10 = -v, w + z*w + 11 = -4*v. Solve 3*j - 3*g + w + 0 = 0, -s*j = -4*g + 7 for j.
-3
Suppose -5*y = -y + 4*u + 4, 3*u + 35 = 5*y. Solve 2*g + 6 = -4*z, -y*g = -4*z - 40 + 4 for g.
5
Let q = 162 - 162. Suppose -47*z + 41*z + 18 = q. Solve -z*w - i + 1 = 3, 2*w + 2*i = -4 for w.
0
Let i be (-408)/(-816)*(1*-2 + 2). Solve -d = 17*p - 20*p - 15, 4*p + 2*d + 30 = i for p.
-6
Suppose -5*b + 2*m = -19 - 268, -m + 181 = 3*b. Suppose -4*o + 67 - b = 0. Solve 0 = -h + 1, -o*x - h + 0*h = 1 for x.
-1
Let g be (24/(-9))/(-1*2/3). Let n be (1 + -4 + 4)*g. Suppose 5*d - 4 = 3*s + 6, -d = -n*s - 2. Solve -5*p = -25, -d*p - 2*p = -2*f - 16 for f.
2
Let n(j) = -57*j + 3032. Let z be n(53). Solve 3 - 6 = -i, -2*b + 5*i - z = 0 for b.
2
Let b be ((-50)/4)/(7/(-28)*2). Suppose -2*v + 25 = -a, 4*a = 3*v - b - 10. Solve 3 = -3*c, -t - c = -5*t + v for t.
3
Suppose 7 = 407*x - 406*x, w = -5*x + 46. Solve -v - 19 = -18, 3*b + w = v for b.
-4
Suppose 18 = 2*z + z. Let n = z - 3. Suppose 37*s + 62 + 15 = 48*s. Solve -n*p - 1 = -2*o, s*o + 23 = -p + 2*o for p.
-3
Let d(l) = 2*l**2 + l - 101. Let h be d(7). Solve 5*u = h*a + 4, 2*a - 37*u - 4 = -36*u for a.
4
Let w(l) = 4*l**2 - 52*l - 52. Let i be w(-1). Solve 3*g - 6 = -4*h, 3*h - i*g - 2 = -5*g for h.
0
Let b = -382 - -384. Suppose h + 5*f = 26, -5*h + 104 = -h + b*f. Solve -3*t - t = 3*g - 25, -5*t - 2*g + h = 0 for t.
4
Suppose -15837*l = -15836*l - 5. Solve -35 = 3*i - l*y, -31*i + 5*y - 25 = -30*i for i.
-5
Let i be 0*(-2 + 1/1). Solve 3*k = -r + 9, i = -k - 2*k + 2*r + 9 for k.
3
Let o = -5943 - -5948. Solve 4*v - 16 = 5*k, 3*v - o*v + 2*k + 8 = 0 for v.
4
Let i = -718 + 740. Suppose 2*a = -i*a. Solve 4*m + d + 7 = a, 0 = 2*m - 2*d - 6 + 2 for m.
-1
Let b be 1*-3*2 + (8 - 0). Solve -3*m + 12 = 5*g - 20, -b*g = -8 for m.
4
Suppose 23 = -28*s + 163. Suppose a - s*b - 34 + 12 = 0, 0 = 4*a + b - 4. Solve -2*l = c, 2*l - 6*l = c - a for l.
1
Suppose 11*z + 1418 = -925. Let f = 216 + z. Solve f = -y, -i + 2*i - y - 5 = 0 for i.
2
Let x be (2 + 29)/(-1)*-1. Suppose 114*w - 122*w = -40. Suppose -2*p + 2 = -2*t, 4*p = -w*t - 0*t + x. Solve 7 = d + 4*z, -d - p*z + 13 = -6*d for d.
-1
Let r be (-83)/(-17) - 568/(-4828). Solve -5*c + 2*a = -r + 12, 24 = -4*c - 3*a for c.
-3
Let o be -4 - -9 - (-1)/(1/20). Suppose -o*i + 23*i + 8 = 0. Let a be (0 - -2)/((-2)/(-4)). Solve -2*s = 5*p - s + 1, 5*p + a*s + i = 0 for p.
0
Suppose -4*c + 17 = k, 87 = 3*k + 12*c - 9*c. Let h = k + -30. Solve 2*x + 5*p = -4 + 32, -h*p = x - 16 for x.
4
Let j(u) = 3*u**2 + 5*u - 94. Let t(z) = -2*z**2 - 2*z + 63. Let l(p) = -5*j(p) - 8*t(p). Let y be l(12). Solve 2*n + 5*f = -n, -5*n + y*f = 0 for n.
0
Let l be 56/7*(-2 + (-65)/(-4)). Suppose -28*z + 82 + l = 0. Solve -3*u - 8 = -z*u - 2*a, -4*a = 0 for u.
2
Suppose 0 = -3*w + 3*h + 24, 3*w + 5*h + 54 = 62. Solve 11*n + 3*l = w*n - 30, 7 = -4*n + l for n.
-3
Suppose -27 = -2*c + 9. Suppose -c + 34 = -g. Let m be g/(-64) - (-14)/8. Solve 12 = 4*h - 4*b + m*b, -5*h + 18 = -b for h.
4
Let d be (81/(-9) + 4)/(5/(-3)). Solve 2*z = d*z + 1, -2*z - 6 = y for y.
-4
Let l be 2*((-5)/(-10))/1. Let f(t) = 20*t**3 + t**2 + t - 1. Let h be f(l). Let c = -16 + h. Solve -5*w = 5*s - 15 + 45, -c*w - s - 14 = 0 for w.
-2
Let t be ((-175)/35)/(10/(-8)). Let z(q) = q**3 - 17*q**2 + 1. Let m be z(17). Solve 0 = -3*w - 7 + m, -5*j - 2*w = t for j.
0
Let n(d) = 355*d + 6794. Let v be n(-19). Solve -47*s - 5 = 3*q - v*s, 2*q -
|
{
"pile_set_name": "DM Mathematics"
}
|
59
Calculate -2899 divided by -2987.
2899/2987
-1136973 divided by 13
-1136973/13
Calculate -24 divided by 8366926.
-12/4183463
-6081210 divided by -9
675690
What is -15797 divided by -2430?
15797/2430
Calculate 8779 divided by 395.
8779/395
29053816 divided by -4
-7263454
-1188 divided by -999
44/37
What is 55532533 divided by 49?
1133317
What is 27468378 divided by -63?
-436006
1296765 divided by -6
-432255/2
What is 3313971 divided by 531?
6241
Divide 1062345273 by -2.
-1062345273/2
Calculate -42916867 divided by 4.
-42916867/4
275 divided by -1361980
-55/272396
42489177 divided by 14163059
3
What is -86939568 divided by -243?
357776
What is 12790410 divided by -691?
-18510
Divide 1606944 by -2643.
-608
Divide 1 by 65233199.
1/65233199
Divide -1051881 by 641.
-1641
917757985 divided by -5
-183551597
Calculate -179782038 divided by -758574.
237
Divide -9918923 by -1416989.
7
Divide -250773024 by 6.
-41795504
Calculate -393502305 divided by 4523015.
-87
Divide 3874 by 39010.
1937/19505
Divide -466697343 by 4.
-466697343/4
Divide -32054 by -39.
32054/39
What is -107185730 divided by 5?
-21437146
Divide -954817451 by 3715243.
-257
226884492 divided by -6
-37814082
Divide 3 by -129832505.
-3/129832505
What is -19414493 divided by -2?
19414493/2
Divide -12 by 7180504.
-3/1795126
-1006 divided by 146035
-1006/146035
10940427 divided by -1215603
-9
What is 6801 divided by -647?
-6801/647
1769520 divided by 60
29492
What is -3527086 divided by -4?
1763543/2
Divide -12545 by -9744.
12545/9744
189916042 divided by 37
5132866
-128510395 divided by 1235
-104057
3 divided by 58904140
3/58904140
Calculate -1330 divided by -13970.
133/1397
1500176 divided by -6
-750088/3
Divide 5 by 18486518.
5/18486518
-26272128 divided by 1094672
-24
What is -5 divided by -1453474?
5/1453474
What is -1842 divided by 358469?
-1842/358469
Divide -40197060 by 2.
-20098530
14505416 divided by 3626354
4
Calculate 126472288 divided by 31618072.
4
Divide -496979 by 12.
-496979/12
-722961875 divided by 625
-1156739
Calculate -15667920 divided by 60.
-261132
Calculate -338 divided by 2955.
-338/2955
Calculate -1 divided by 142084304.
-1/142084304
Divide 31990260 by 1.
31990260
Calculate 26454 divided by 7.
26454/7
Divide -4 by -103075.
4/103075
616 divided by 581264
77/72658
What is -17176290 divided by -6?
2862715
-27 divided by 16519
-27/16519
Calculate 5235900 divided by 5630.
930
-3 divided by -153353644
3/153353644
Divide -6793216 by -16.
424576
Calculate 2754263604 divided by -2.
-1377131802
-23 divided by 427663
-23/427663
Divide -1778320 by 355664.
-5
-652713 divided by -7
652713/7
380423104 divided by -95105776
-4
Divide 2227565 by -3.
-2227565/3
Divide -31275778 by -15637889.
2
-115003422 divided by -2129693
54
What is 39190 divided by -9577?
-39190/9577
Divide 363135 by 2222.
363135/2222
What is 212080 divided by -54?
-106040/27
Divide 26449 by -353.
-26449/353
Calculate 23666970 divided by 570.
41521
What is 41203 divided by -10496?
-41203/10496
What is 8278 divided by -68294?
-4139/34147
Divide -8886560 by -12.
2221640/3
Divide 961285943 by 437.
2199739
-15 divided by -112219
15/112219
-81352530 divided by 90
-903917
-71048442 divided by -1354
52473
-112942029 divided by -3
37647343
Calculate -2312590 divided by -7.
330370
What is 17495313 divided by -115863?
-151
Calculate -4 divided by 11713044.
-1/2928261
Calculate 4099655 divided by 6.
4099655/6
Calculate -3 divided by 192550927.
-3/192550927
1344585 divided by 3091
435
Calculate -4 divided by -10129588.
1/2532397
Calculate -6875538 divided by 1.
-6875538
What is -10928884 divided by 1?
-10928884
What is -1831425 divided by 610475?
-3
What is 23591990 divided by -5?
-4718398
-49609840 divided by 560
-88589
What is 1 divided by 13791442?
1/13791442
What is -3612864 divided by -744?
4856
Divide -70047509 by -10006787.
7
Calculate -168084720 divided by -1167255.
144
Calculate 124 divided by 61105.
124/61105
What is 12 divided by -659352?
-1/54946
What is 9403752 divided by -12?
-783646
What is 271585104 divided by -21?
-12932624
What is 22456428 divided by -13?
-22456428/13
Calculate 167905904 divided by 8.
20988238
38640 divided by -16
-2415
Divide 2189943 by -729981.
-3
Calculate 214700 divided by 1900.
113
Divide -12638928 by -3159732.
4
25653 divided by 2
25653/2
-373582 divided by -22
16981
Calculate -24342250 divided by 50.
-486845
Divide 4 by -8385863.
-4/8385863
What is 1974544 divided by -179504?
-11
What is 310 divided by 62504?
155/31252
0 divided by -15421414
0
What is 1 divided by -152312452?
-1/152312452
What is 52 divided by 501545?
52/501545
Divide -15 by -29070635.
3/5814127
Calculate 50001 divided by 63.
2381/3
Calculate -118 divided by 114697.
-118/114697
8629646 divided by 8629646
1
Calculate 6828129 divided by 16533.
413
241698814 divided by 5
241698814/5
What is -20179260 divided by 60?
-336321
409 divided by -138272
-409/138272
Divide 121 by 410766.
121/410766
13907 divided by 37199
13907/37199
8741024 divided by 8
1092628
328225440 divided by 6
54704240
1639092897 divided by -126084069
-13
Divide -636849700 by 7757.
-82100
Divide -9687049 by 1.
-9687049
-5510990 divided by -3
5510990/3
Calculate -43723632 divided by -12.
3643636
Divide 27 by -96657.
-9/32219
Divide -569943668 by -142485917.
4
Calculate -6919760 divided by -1.
6919760
Divide 6819435 by 454629.
15
Calculate -15914730 divided by -1290.
12337
Calculate 66668875 divided by 6.
66668875/6
What is -1302934 divided by 651467?
-2
-96 divided by -3250555
96/3250555
What is -5476757 divided by -5476757?
1
What is 2263440 divided by 612?
188620/51
Divide 13356 by 1453.
13356/1453
Calculate -436530 divided by 289.
-436530/289
Divide -29451571 by 3.
-29451571/3
Calculate -112093960 divided by 5.
-22418792
Divide -49485660 by -167748.
295
Divide -1 by 151026.
-1/151026
What is -148775943 divided by 148775943?
-1
Calculate 178049025 divided by 231.
770775
Calculate -387304 divided by -193652.
2
-3639504 divided by -6
606584
What is 0 divided by -53153636?
0
Calculate -114077000 divided by -8.
14259625
What is 4581893 divided by 4581893?
1
Divide 92869 by -689.
-92869/689
-576 divided by -1095
192/365
6973533 divided by -343
-20331
Calculate -297 divided by -177169.
297/177169
-10362890 divided by -33
10362890/33
What is 50808125 divided by 10161625?
5
Calculate -15 divided by 1292447.
-15/1292447
Calculate -29758014 divided by -2705274.
11
Calculate -11554 divided by 28822.
-5777/14411
Calculate -271663488 divided by 2208.
-123036
What is 14115986 divided by 118?
119627
Divide 196 by 5940.
49/1485
Divide -31097 by -1339.
31097/1339
Calculate -66312680 divided by -490.
135332
Calculate -115866 divided by 39.
-38622/13
Calculate 441622206 divided by -38.
-11621637
Calculate 0 divided by 460423.
0
11956802 divided by -5978401
-2
Calculate -4607278 divided by -1.
4607278
Divide -15 by 3937571.
-15/3937571
Calculate -365588740 divided by 391004.
-935
Calculate 14458 divided by 2444.
7229/1222
132282340 divided by -10
-13228234
Divide 220195 by -20.
-44039/4
What is -7161 divided by -1358?
1023/194
What is -197148960 divided by 5?
-39429792
Divide -1170969 by -3.
390323
Calculate -100116 divided by 27.
-3708
67717611 divided by 17667
3833
What is 1186 divided by -169248?
-593/84624
9655 divided by 104
9655/104
Calculate 34 divided by -12298574.
-17/6149287
What is -304409900 divided by 353965?
-860
Divide -7210800 by 30045.
-240
What is 4789530 divided by -1?
-4789530
Divide -1043706 by 2.
-521853
What is -7 divided by -55181146?
7/55181146
-339103080 divided by 15
-22606872
What is -7671418 divided by 34?
-3835709/17
What is 19549980 divided by -4695?
-4164
What is 10907029 divided by -3?
-10907029/3
Divide 57428966 by -14.
-4102069
Divide -9376288 by 452.
-20744
What is 44 divided by 269020?
11/67255
40283 divided by 78
40283/78
Calculate 13248548 divided by 4.
3312137
Calculate -98848525 divided by -5.
19769705
Divide 14381320 by -2.
-7190660
302475781 divided by -2
-302475781/2
Calculate 9445522 divided by -2.
-4722761
Calculate -124461108 divided by 6.
-20743518
What is -9633685 divided by 43?
-9633685/43
Calculate -1 divided by -7584161.
1/7584161
-7123584 divided by 2
-3561792
Calculate -81572984 divided by 556.
-146714
Calculate -23 di
|
{
"pile_set_name": "DM Mathematics"
}
|
d) 3 (e) 0
b
Which is the smallest value? (a) -0.5 (b) -0.2 (c) 82899
a
Which is the fourth biggest value? (a) 3/7 (b) -2 (c) -161 (d) 4/5 (e) 1 (f) 76
a
What is the second smallest value in 16, 28, -5/4?
16
Which is the second biggest value? (a) 43 (b) 3103 (c) -1/5
a
Which is the biggest value? (a) -5 (b) 0.04 (c) -2464
b
What is the third biggest value in 3/5, 7, -0.4, 563?
3/5
What is the smallest value in 0.3, 3, 1/4, 0.39?
1/4
Which is the third smallest value? (a) -2/11 (b) 2/11 (c) 8.8 (d) 0.2
d
What is the fifth smallest value in 489, -3/8, -5, 4, -0.2?
489
Which is the second smallest value? (a) -0.0217 (b) -0.1 (c) 10
a
What is the fifth smallest value in 0.2, -0.2, -1/4, -5, 0.6, 0.3?
0.3
Which is the smallest value? (a) -3 (b) 196.74 (c) 1 (d) 0.5
a
Which is the third smallest value? (a) -15 (b) 26 (c) 39 (d) 1
b
What is the biggest value in -566, 1/6, -1070/7?
1/6
What is the fourth biggest value in 141, -5, 5, 6/181?
-5
What is the third smallest value in 7, 1200, 0.1?
1200
What is the second biggest value in -165285, 3, 0.06?
0.06
Which is the fifth biggest value? (a) -2/5 (b) -309 (c) -0.3 (d) -0.2 (e) 4/5
b
What is the fifth smallest value in 0.023, -0.05, 5, 4, -99?
5
What is the third smallest value in -3, -0.1, -0.3, -198, -5, -1/3?
-3
Which is the smallest value? (a) 4 (b) -0.7 (c) -29/6 (d) -0.19
c
What is the fourth smallest value in -5/2, -1, -0.3, 0.1108, 3/7?
0.1108
Which is the biggest value? (a) -255 (b) 0.02 (c) 8
c
Which is the smallest value? (a) 34 (b) 2/15 (c) 166 (d) 0.3 (e) 0.1 (f) 1/5
e
Which is the second biggest value? (a) 1 (b) -0.07 (c) -1/49 (d) 0.3 (e) 7.2
a
What is the fourth smallest value in -0.062, 1, -3, -22, 5?
1
What is the smallest value in 5/3, -0.5, -2, 0, -86/3, -5?
-86/3
Which is the second smallest value? (a) -1 (b) 1/6 (c) 18 (d) -5 (e) -170
d
Which is the second biggest value? (a) -4 (b) -83/22 (c) 11
b
Which is the smallest value? (a) -1 (b) -1/4 (c) 335 (d) 3/7 (e) -1/18
a
What is the biggest value in 4, -102, -5, 10, 0, 2/3?
10
Which is the second smallest value? (a) 0.2 (b) 7 (c) -2/7 (d) -669 (e) 6
c
What is the fourth smallest value in -1, 18371, -3, 0.4?
18371
What is the fourth biggest value in 3, -1, 2/9, -5, 20?
-1
Which is the fifth smallest value? (a) 16 (b) -0.07 (c) -1 (d) 5 (e) -61
a
What is the third biggest value in -5, 233/39, -3/2?
-5
Which is the smallest value? (a) -2/549 (b) -4 (c) 0.02 (d) -0.4 (e) 2
b
What is the second smallest value in -2, 63, 0.9, -4, -5, 2?
-4
What is the fourth smallest value in 3, -6, -3/2903, -2/9, 1/2?
1/2
What is the fifth biggest value in 0.5, 4, 60, 5, 3/11?
3/11
What is the biggest value in 0.0185, -1, -5, -11?
0.0185
What is the third biggest value in -3, 0.158, -1/2, 7?
-1/2
What is the second smallest value in 4, 0.3, -15, 0, -53, -6/11?
-15
Which is the fourth biggest value? (a) 1 (b) -1028/9 (c) 4 (d) -1 (e) -2/9
d
Which is the fourth smallest value? (a) -0.1 (b) -7 (c) -0.4 (d) -633 (e) 2/9
a
Which is the second biggest value? (a) -443 (b) 4 (c) 0.058 (d) -1
c
Which is the smallest value? (a) 370 (b) 0.5 (c) 2/161
c
What is the biggest value in -8/7, -2/9, 0.962, -0.4?
0.962
What is the second biggest value in 309, 2/5, 7?
7
What is the fourth smallest value in 39, -2/51, -1.6, -0.2?
39
Which is the smallest value? (a) -3 (b) 0.1 (c) -3237 (d) 0 (e) -5/6
c
Which is the fourth smallest value? (a) 3/4 (b) -2 (c) 40 (d) 0.5 (e) 17
e
What is the fourth smallest value in -1, -1/7, -10, 3/7, -2/29?
-2/29
Which is the second biggest value? (a) -7 (b) 37 (c) -8653
a
What is the smallest value in 0.4, -19006, -17?
-19006
Which is the fifth biggest value? (a) -2/3 (b) 0.5 (c) 6 (d) 297 (e) -5 (f) 0
a
Which is the fifth smallest value? (a) 10 (b) 109 (c) -0.2 (d) 2 (e) 0
b
Which is the biggest value? (a) -1.1 (b) -2/11 (c) 1 (d) 0.19 (e) 5/8 (f) -2/15
c
What is the third smallest value in 155, 7, 2, -9?
7
What is the fourth smallest value in -443, -29, -9, -1/5?
-1/5
What is the smallest value in 276, -0.1142, -1?
-1
Which is the second biggest value? (a) 2 (b) 1/6 (c) 5 (d) -1.267
a
Which is the second smallest value? (a) -13.27 (b) -1/6 (c) -4 (d) -10
d
Which is the smallest value? (a) -2 (b) 105 (c) -3/5 (d) 1 (e) -2/75
a
Which is the sixth biggest value? (a) -33 (b) -1/10 (c) 2 (d) -3/7 (e) -5/4 (f) 3
a
Which is the biggest value? (a) -11752 (b) -0.07 (c) 0.1
c
What is the biggest value in -2/11, -41, -1/245?
-1/245
What is the second biggest value in 0.02, 0.01, -0.1, -0.41, 23, 4?
4
What is the biggest value in -2, -39/97, 13?
13
What is the third biggest value in -552/5, -44/5, 3?
-552/5
What is the second smallest value in -36, -4/249, 3?
-4/249
What is the biggest value in -160.9, 0.5, -1/7?
0.5
Which is the third smallest value? (a) -4.2 (b) -291 (c) 33
c
Which is the third smallest value? (a) 0.4 (b) 85 (c) 0.2 (d) 19/3 (e) -2
a
What is the second smallest value in -3, -29, 0.019, 0.2, 4?
-3
What is the fourth biggest value in -0.1, 15, -7, -2, 0.1?
-2
Which is the second biggest value? (a) -6 (b) -134 (c) -20
c
Which is the second biggest value? (a) -0.2 (b) 7 (c) -1/7 (d) 3
d
Which is the second biggest value? (a) 4 (b) -5 (c) 1/5 (d) 764 (e) 0.5 (f) -29
a
What is the fourth biggest value in 3, -0.477, -5, 0.4?
-5
What is the third smallest value in 2/63, -14, 17/15?
17/15
Which is the fourth biggest value? (a) 0 (b) -2.6 (c) -665 (d) -2/7
c
What is the second smallest value in 0.2, -0.05, 11/125?
11/125
What is the sixth biggest value in -556, -43, -6, -1, -5, 3?
-556
What is the biggest value in 5, -3, 148, 1/2, -2?
148
Which is the fourth smallest value? (a) 0.2 (b) -13 (c) -3.57 (d) 5
d
What is the second smallest value in 1798, 4, 14?
14
Which is the third smallest value? (a) 18.1 (b) 83 (c) -10/7
b
Which is the smallest value? (a) 7 (b) -3 (c) -285
c
What is the biggest value in -2/5, -2/7, -5, 0.928?
0.928
What is the second smallest value in -2/11, 3, -234, 2/9, -3?
-3
Which is the fourth biggest value? (a) 4.1 (b) -0.3 (c) 0.1 (d) 28 (e) -4
b
What is the fourth biggest value in 5, 8, -0.095, 4?
-0.095
What is the smallest value in 4, -0.28, 3/20, -18, 1/4, -1?
-18
Which is the smallest value? (a) 7 (b) -0.4 (c) 0.4 (d) 4 (e) -2/3 (f) -2/9
e
Which is the fourth biggest value? (a) -0.06 (b) -2/7 (c) -4717 (d) 0 (e) -5
e
What is the biggest value in -2/19, 2/17, -0.3, -21/29, 4, -4/7?
4
Which is the third biggest value? (a) 0 (b) 24/41 (c) 2/13 (d) -1/2 (e) 0.3
c
Which is the fourth smallest value? (a) -1/4 (b) -17 (c) 1/8 (d) -1/199
c
What is the smallest value in -4.9, 2/9, 1/423?
-4.9
Which is the biggest value? (a) -1/15 (b) 2.9 (c) 1 (d) 2/9
b
Which is the fourth biggest value? (a) 2/59 (b) -6 (c) -0.3 (d) -3/1336
b
What is the biggest value in 1/102, -67, 5?
5
Which is the second biggest value? (a) -1800 (b) 0.1 (c) 0.012
c
Which is the smallest value? (a) -104 (b) 1 (c) 5 (d) 0.07
a
What is the smallest value in -8, -14, -2/33, 5?
-14
Which is the second smallest value? (a) -356 (b) 3/8 (c) -3/29 (d) -0.2
d
What is the fifth biggest value in 2, -17, 9.4, 0.1, 10, -5?
-5
What is the fourth biggest value in 75, -3/5, -0.3, 11/3?
-3/5
Which is the sixth smallest value? (a) -1/8 (b) -0.04 (c) -3/4 (d) -5/2 (e) 14 (f) 4
e
Which is the second smallest value? (a) -7 (b) -5 (c) -3 (d) 2/795
b
What is the biggest value in -1/5, -0.09, 491, 4?
491
Which is the fourth biggest value? (a) -3 (b) 0.052 (c) 0 (d) -3/95
a
Which is the third biggest value? (a) 4 (b) 0.02 (c) -0.033 (d) -6 (e) -2
c
What is the third smallest value in -0.061, -0.65, 24?
24
Which is the fifth biggest value? (a) 2 (b) 0.1 (c) -4 (d) 10352 (e) -0.5
c
What is the sixth biggest value in 0.3, 0.1, 2/17, -0.0696, 4, -1.8?
-1.8
Which is the second biggest value? (a) 1 (b) -73/9 (c) 230 (d) -4/5
a
Which is the second smallest value? (a) 0.104 (b) 0.03 (c) 0.023
b
What is the biggest value in -2, -1436, -5?
-2
Which is the second biggest value? (a) -3/7 (b) -13 (c) 2/21 (d) 5.6 (e) -0.88
c
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
256, -164528?
-223940
What comes next: -32852, -65715, -98578, -131441?
-164304
What is next in 397, 343, 291, 241, 193, 147, 103?
61
What comes next: -435, -268, -111, 30, 149, 240?
297
What comes next: -325, -315, 291, 1793, 4491, 8685, 14675?
22761
What is next in -672, -950, -1218, -1470, -1700?
-1902
What comes next: -3303234, -3303233, -3303232, -3303231, -3303230?
-3303229
What is the next term in 79, 116, 111, 64?
-25
What comes next: 212, 419, 620, 815, 1004, 1187?
1364
What is next in -923, -1687, -2437, -3173?
-3895
What is the next term in -5337687, -5337685, -5337683, -5337681, -5337679, -5337677?
-5337675
What comes next: 4538, 18147, 40830, 72587, 113418?
163323
What is the next term in 2454, 4919, 7384?
9849
What comes next: 59426, 118863, 178300?
237737
What is the next term in 27314, 27301, 27290, 27281, 27274, 27269, 27266?
27265
What is the next term in 214, 147, -2, -275, -714, -1361?
-2258
What comes next: -27, 11, 121, 303, 557, 883, 1281?
1751
What comes next: -212, -468, -724?
-980
What is next in -5005, -5021, -5033, -5041, -5045?
-5045
What is the next term in 3770, 7561, 11352, 15143, 18934?
22725
What is next in 36716, 36713, 36710, 36707, 36704, 36701?
36698
What is next in 67325, 67325, 67323, 67319, 67313, 67305, 67295?
67283
What comes next: 844, 2554, 4264, 5974, 7684, 9394?
11104
What is next in -114967, -114934, -114901, -114868, -114835?
-114802
What is next in 6854, 6875, 6906, 6953, 7022?
7119
What is the next term in -35089, -35090, -35091, -35092?
-35093
What comes next: -94, -183, -266, -349, -438, -539?
-658
What is the next term in 289, 572, 861, 1162, 1481?
1824
What is the next term in 807, 825, 863, 927, 1023, 1157, 1335, 1563?
1847
What is the next term in -1226, -9740, -32836, -77804, -151934, -262516, -416840, -622196?
-885874
What is the next term in 23, 109, 195, 281, 367, 453?
539
What is the next term in -4470, -17851, -40144, -71343, -111442?
-160435
What comes next: 8059, 8043, 8001, 7921, 7791, 7599, 7333?
6981
What comes next: 16754, 16737, 16720, 16703?
16686
What comes next: -404, -764, -1364, -2204?
-3284
What is next in 345, 353, 373, 411, 473, 565?
693
What is next in -68919, -137822, -206725, -275628, -344531?
-413434
What is the next term in -1249, -4584, -10015, -17536, -27141, -38824, -52579, -68400?
-86281
What is the next term in 316, 632, 958, 1294?
1640
What is next in -1933, -1971, -2009, -2047?
-2085
What comes next: -3562, -3366, -3172, -2980, -2790, -2602, -2416?
-2232
What comes next: 52600, 105190, 157766, 210322, 262852, 315350, 367810, 420226?
472592
What is next in 9780, 19575, 29370, 39165, 48960?
58755
What is the next term in 21387, 21385, 21383, 21381?
21379
What is the next term in 8197, 16610, 25023, 33436, 41849?
50262
What is next in 2703, 3291, 3879, 4467, 5055?
5643
What comes next: 122572, 122583, 122594, 122605?
122616
What comes next: 1353953, 1353952, 1353951, 1353950?
1353949
What is next in 16333, 16317, 16301, 16285, 16269?
16253
What is the next term in -451, 1, 1239, 3659, 7657, 13629, 21971, 33079?
47349
What is next in 6382, 12764, 19146, 25528?
31910
What is next in 1697, 1730, 1765, 1802, 1841, 1882?
1925
What comes next: -64, -80, -14, 176, 532, 1096?
1910
What is the next term in -250, -905, -2654, -6043, -11618, -19925, -31510, -46919?
-66698
What is the next term in -12401, -24803, -37205, -49607, -62009, -74411?
-86813
What is next in -2668, -2704, -2736, -2764, -2788, -2808, -2824?
-2836
What is the next term in 105912, 105914, 105916, 105918, 105920?
105922
What is the next term in 4540, 18199, 40964, 72835?
113812
What is the next term in 406, 1641, 3706, 6601, 10326, 14881?
20266
What is next in -10556, -10473, -10378, -10265, -10128, -9961, -9758?
-9513
What is next in -113638, -113634, -113628, -113620?
-113610
What is the next term in 6, -78, -276, -606, -1086?
-1734
What is next in 7563, 7560, 7557, 7554, 7551, 7548?
7545
What is next in 757, -738, -3231, -6722, -11211, -16698?
-23183
What is next in 21, -18, -69, -120, -159?
-174
What is the next term in 2904, 2888, 2870, 2856, 2852, 2864, 2898, 2960?
3056
What comes next: 1246, 2494, 3746, 5002, 6262, 7526, 8794?
10066
What is next in -726, -703, -680, -657, -634?
-611
What is next in -3019, -3015, -3009, -3001, -2991?
-2979
What is the next term in 9809, 78057, 263295, 624017, 1218717, 2105889, 3344027?
4991625
What comes next: -3280, -6687, -10092, -13495?
-16896
What comes next: 985, 960, 909, 826, 705, 540, 325, 54?
-279
What is the next term in -1327020, -1327019, -1327018, -1327017?
-1327016
What is the next term in 232, 823, 1768, 3049, 4648, 6547, 8728?
11173
What is next in 243, 2010, 6787, 16074, 31371, 54178, 85995, 128322?
182659
What comes next: 1379, 5485, 12293, 21773, 33895, 48629, 65945, 85813?
108203
What is next in 38783, 38807, 38831?
38855
What comes next: 3199, 3554, 3921, 4306, 4715, 5154?
5629
What is next in -12939, -51756, -116451, -207024, -323475, -465804, -634011?
-828096
What is the next term in -487, -1048, -1607, -2164, -2719?
-3272
What comes next: -2213, -2162, -2105, -2042, -1973?
-1898
What comes next: -11007, -22015, -33023, -44031?
-55039
What is the next term in 8309, 16597, 24881, 33161, 41437, 49709, 57977?
66241
What comes next: 1343, 2710, 4077, 5444, 6811, 8178?
9545
What comes next: 136, 130, 116, 88, 40, -34, -140?
-284
What comes next: -130, -225, -296, -349, -390?
-425
What is the next term in 11769, 47334, 106609, 189594?
296289
What is the next term in -15679, -15640, -15601, -15562, -15523, -15484?
-15445
What comes next: 110546, 221126, 331720, 442334, 552974, 663646?
774356
What is next in -141, -320, -669, -1230, -2045, -3156, -4605, -6434?
-8685
What is next in -42382, -84902, -127408, -169894, -212354?
-254782
What is the next term in -33, 12, 147, 384, 735, 1212, 1827?
2592
What is next in 65, 343, 831, 1529, 2437, 3555, 4883?
6421
What is next in -2599, -5195, -7791, -10387, -12983?
-15579
What comes next: -327, -313, -301, -291, -283, -277?
-273
What is the next term in 3441, 6917, 10451, 14073, 17813?
21701
What comes next: 2086, 2108, 2188, 2356, 2642, 3076, 3688?
4508
What is the next term in 34, 66, 92, 112, 126, 134?
136
What is the next term in 1725, 1735, 1747, 1761, 1777?
1795
What is next in -208, -285, -346, -391?
-420
What is the next term in 4218, 8436, 12654, 16872?
21090
What is next in -187, -111, 19, 203, 441, 733?
1079
What comes next: -12599, -25223, -37847, -50471, -63095?
-75719
What is next in 26836, 53689, 80544, 107401, 134260, 161121, 187984?
214849
What comes next: -1263941, -1263939, -1263937, -1263935, -1263933, -1263931?
-1263929
What is next in 61660, 61659, 61650, 61627, 61584, 61515, 61414?
61275
What is next in 101189, 101188, 101187, 101186, 101185?
101184
What comes next: 1647, 2372, 3099, 3828?
4559
What is the next term in 6635, 6643, 6663, 6701, 6763, 6855, 6983, 7153?
7371
What comes next: -9093, -18192, -27291, -36390, -45489?
-54588
What is the next term in -32420, -64838, -97256, -129674, -162092?
-194510
What comes next: 2846, 2818, 2784, 2744, 2698, 2646?
2588
What comes next: 3074, 3082, 3090, 3098?
3106
What is the next term in -1458, -1702, -1956, -2226, -2518, -2838, -3192, -3586?
-4026
What is next in 2218, 2246, 2274, 2302, 2330, 2358?
2386
What comes next: -431, -718, -1005, -1292, -1579?
-1866
What is the next term in -8508, -9764, -11018, -12270, -13520?
-14768
What is next in 3078, 12199, 27390, 48651, 75982, 109383?
148854
What is next in 463, 1355, 2843, 4927?
7607
What is the next term in 6244, 12471, 18698, 24925?
31152
What is the next term in -253, -514, -799, -1120, -1489?
-1918
What is the next term in -372, -218, -64, 90?
244
What is the next term in -11070, -44249, -99548, -176967, -276506, -398165?
-541944
What comes next: 105043, 210036, 315029, 420022, 525015?
630008
What comes next: -428, -154, 110, 364, 608, 842, 1066?
1280
What is the next term in -1379, -2823, -4335, -5915, -7563?
-9279
What is the next term in 999, 4627, 10681, 19167, 30091, 43459, 59277, 77551?
98287
What is the next term in 62603, 125227, 187863, 250517, 313195, 375903, 438647?
501433
What is next in -6038, -6008, -5944, -5834, -5666, -5428, -5108?
-4694
What comes next: -2670
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest 1000.
6000
Let n(u) = u**2 - 6*u + 3128. Let z be n(0). What is z rounded to the nearest 100?
3100
Let i(f) = -2*f - 14. Let w be i(-7). Suppose -4*m + 78612024 = -w*m. Let j = -38053006 + m. Round j to the nearest one million.
-18000000
Let i = 228.0433 - 228. Let f = -0.033 + i. What is f rounded to 3 dps?
0.01
Suppose -15 = -6*l + l. Suppose c = l*c + 62. Let m = -31 - c. Round m to 1 dp.
0
Let n = 900303 + -900300.201014. Let d = -59.79887 + n. Let c = d + 57. Round c to five dps.
0.00012
Let d be (-1)/(63/(-15) - -4). Let x be 2/(3 - 1)*d. Suppose x*s - 45495 = 5*v, 5*s = 3*v + 39989 + 5508. Round s to the nearest one thousand.
9000
Let b = 318 + -253.2. Let g = -72 + b. Round g to 0 dps.
-7
Let s be 19/(-38) - (-10)/4. Let i be (-4)/s + 0 + -1 - -800003. Round i to the nearest one million.
1000000
Suppose -160*a + 165*a = -2935. Round a to the nearest one hundred.
-600
Suppose 0 = -0*c + 8*c - 5264. Suppose -4*r - c = 4*w - r, 4*w - 4*r + 644 = 0. What is w rounded to the nearest ten?
-160
Let h = 21.979097 + -358.980907. Let y = h + 337. Round y to four dps.
-0.0018
Let b = -1258.6828 + 1257.3428114. Let f = -1.34 - b. Round f to 6 dps.
-0.000011
Let m = 20 - 20. Let r = m + 0.003. Round r to 4 decimal places.
0.003
Let w = -168307 - -598507. What is w rounded to the nearest one hundred thousand?
400000
Let u be 63*(4 + (5 - 8)). Round u to the nearest 100.
100
Let p be (-483)/5 + 6/10. Let u be 2/7 - p/56. Suppose 0*i = -u*i - 52000. Round i to the nearest ten thousand.
-30000
Let o = 0.29 - 0.13. Let i = o - 0.31. What is i rounded to 1 dp?
-0.2
Let q = -222.0000578 - -222. Round q to five decimal places.
-0.00006
Let a be (-59)/(-236) - (66807/12 + 3). What is a rounded to the nearest one hundred?
-5600
Let a = 0.114672 - 0.1201. Round a to 3 dps.
-0.005
Let b(v) = 285*v + 67. Let r be b(-16). Round r to the nearest 100.
-4500
Let z = -69 - -68. Let b be (0 + (-112)/z)*325. Round b to the nearest 1000.
36000
Suppose 5*r - 4 = 11. Suppose 5082 = 3*t + r*t. Let g = -427 + t. Round g to the nearest one hundred.
400
Let p = 0.03796 - -357.86204. Round p to the nearest 10.
360
Let x = 1.05 + -0.05. Let v = x + -1.1. Let z = -0.0965 - v. What is z rounded to three dps?
0.004
Let b = 49 + -49.031. Let l = b - -0.0310076. Round l to six decimal places.
0.000008
Suppose 2*r - 2 = -2*h - 8, -2*r = 10. Let t = h - 8. Let u(k) = 2*k**3 - 2*k**2 + 9*k + 8. Let q be u(t). What is q rounded to the nearest 100?
-600
Let i = -187 - -121.5. What is i rounded to the nearest integer?
-66
Let a = 0.143 + -0.15696. What is a rounded to 4 decimal places?
-0.014
Let b = -25 + 22.6. Let w = 17.4 + b. Let z = -15.0000072 + w. What is z rounded to 6 decimal places?
-0.000007
Let m = -7097 - -4417. What is m rounded to the nearest one hundred?
-2700
Let f = 37.88 + -37.90323. Round f to two decimal places.
-0.02
Let s = 55 + -54.912. Let t = 0.035 + s. What is t rounded to one dp?
0.1
Suppose 0*n = -w + 3*n - 12, -4*n + 22 = -2*w. Let b(p) be the second derivative of -p**3/6 - 2*p**2 - 26*p. Let x be b(w). Round x to the nearest ten.
10
Let m = -0.22 + 0.21999862. What is m rounded to seven dps?
-0.0000014
Let c = -155 + 155.0000359. Round c to 6 dps.
0.000036
Let d = -2727451.30999905 - -2727444.31. Let n = 7 + d. What is n rounded to seven dps?
0.000001
Let i = -189.1 - -189.327. What is i rounded to 2 dps?
0.23
Let r = 74 - 107. Let l = r + 18. Let a be 0 + 709998 - (l + 13). Round a to the nearest 100000.
700000
Let g = 750128 + -750126.862439. Let a = g + -23.137577. Let q = a - -22. Round q to 5 dps.
-0.00002
Let w = 35.30177 - 35.28. Let n = 0.07 + -0.048. Let x = n - w. What is x rounded to 4 dps?
0.0002
Let w be (-2)/4 + 105/(-10). Let i(u) = -613*u**2 - 15*u + 8. Let f be i(w). Round f to the nearest 10000.
-70000
Let b = -1.144 - -1.1439771. Round b to six dps.
-0.000023
Let b = 33632 - 19632. What is b rounded to the nearest 100000?
0
Suppose 2*i = -4*z + 2970, i + i + z - 2985 = 0. Suppose i = 6*s - 3725. What is s rounded to the nearest one hundred?
900
Let u(l) = -12*l**2 - 3*l + 3. Let k = 51 + -50. Let n be u(k). What is n rounded to the nearest ten?
-10
Let s = 29 - 42. Let y(p) = -683*p**3 - 4*p**2 - 11*p - 18. Let m be y(s). What is m rounded to the nearest one hundred thousand?
1500000
Let g = -873 + 913.7. Let f = -0.9 + g. What is f rounded to the nearest ten?
40
Let l(o) = 4263*o - 82. Let m be l(14). What is m rounded to the nearest 10000?
60000
Suppose 0*b = -2*s - b + 407994, 3*b + 815978 = 4*s. Let a be 0 + s/(-2 - -6) - -1. What is a rounded to the nearest ten thousand?
50000
Let l = -125053 - -125061.1327. Let t = l + -8.1. Round t to 3 decimal places.
0.033
Let b = 11617964.9767802 + -29083245.276782. Let z = 17465278 + b. Let m = z + 2.3. What is m rounded to six decimal places?
-0.000002
Let w = -549.138172 + 516.1381677. Let z = 33 + w. What is z rounded to 6 dps?
-0.000004
Let s = 0 + 0. Let z(f) = 940011*f - 33. Let l be z(3). Suppose s = -26*p + 29*p - l. What is p rounded to the nearest one hundred thousand?
900000
Suppose -31 + 11 = -4*z. Suppose 5*f - 5*g = -270, -z*g - 148 = 3*f - g. What is f rounded to the nearest ten?
-50
Let i = 37 - 29. Let t be i/(-44) + (-103400002)/(-11). Round t to the nearest 1000000.
9000000
Let p = -15.58 - -16. Let k = p - 10.62. What is k rounded to the nearest integer?
-10
Let d = 1434.807 + -1435. Round d to 3 decimal places.
-0.193
Let z = -10 - -8. Let n = -0.25 - z. Let x = 1.74921 - n. Round x to four dps.
-0.0008
Let j = 36.8 + 2. Let z = j + -44. What is z rounded to the nearest integer?
-5
Let i = 525.00000564 - 525. What is i rounded to six decimal places?
0.000006
Let l(p) = -26132*p - 56. Let a be l(-8). Round a to the nearest one hundred thousand.
200000
Let j = 4.8 - 4.800037. Round j to 4 dps.
0
Let c be 4/(-14) - 4/(-14). Let n(a) = 3712880 + 1797148 + a**2 + 687269 - 1297297. Let l be n(c). Round l to the nearest 1000000.
5000000
Let v = 87.961092 - 87.411. Let d = 0.55 - v. Round d to five dps.
-0.00009
Let l = -0.029 - -0.071. Let y = l - 0.041993. Round y to 6 decimal places.
0.000007
Let i = 0.07597 + -0.075973367. Round i to seven dps.
-0.0000034
Let g(z) = -20742*z**3 - 4*z**2 + 2. Let k = -2 - -7. Let n = k - 8. Let p be g(n). What is p rounded to the nearest one hundred thousand?
600000
Let q = -404.489 - -403. What is q rounded to 1 dp?
-1.5
Let a = -64.999843 + 65. Round a to 4 decimal places.
0.0002
Let i be (4305 - 1)*(-1885 - -10). Round i to the nearest 1000000.
-8000000
Let b = -0.03 + 0.21. Let r = b + -0.34. Let c = r - -0.159884. What is c rounded to five dps?
-0.00012
Suppose 0 = -5*w - 22354441 - 7645559. Round w to the nearest 1000000.
-6000000
Let o = -392.485 + 1.585. What is o rounded to the nearest one hundred?
-400
Let g be ((-4)/10)/(3/15). Let a(t) = 160982*t**3 + 3*t**2 + 3*t + 1. Let s be a(g). Let y = -2587849 - s. Round y to the nearest 100000.
-1300000
Let g = 4.4516 + 0.2334. What is g rounded to zero decimal places?
5
Let w = 289843691842426.0999967 - 289843673227818. Let c = w + -18614600.1. Let j = 8 - c. Round j to six dps.
0.000003
Suppose 12 = -5*v + 3*v. Let f be (75/v + -1)*(-14000)/(-3). What is f rounded to the nearest ten thousand?
-60000
Let k = 221612667.000059 - 221612559. Let t = 83 + 25. Let v = k - t. Round v to 5 decimal places.
0.00006
Let u = 1153 + -1152.99997617. Round u to 6 decimal places.
0.000024
Let c = -0.073 + 0.08. Let l = 0.0136 + 0.0064. Let n = l - c. What is n rounded to 3 decimal places?
0.013
Suppose -18*x + 2*x - 213440000 = 0. Round x to the nearest 1000000.
-13000000
Let v = -1013 - -1012.874. Round v to two decimal places.
-0.13
Let p be (92370/(-1))/(-18 - -19). Round p to the nearest 10000.
-90000
Suppose -2659885758 = -46*d + 616694242. What is d rounded to the nearest one million?
71000000
Suppose 2*g + 2*g = 5*p - 28, -p = 4*g + 4. Let h be 4/(-10) - (-160)/25. Let v be 6*p/h*-275. What is v rounded to the nearest one hundred?
-1100
Suppose -5*b + 12 = -b. Suppose b*n - 1008000 = -n. What is n rounded to the nearest ten thousand?
250000
Let k = 32 + -23. Let l = 9.000058 - k. Round l to 5 dps.
0.00006
Let y = 1.07 - -1.09. Let s = y + -2.1252. What is s rounded to three decima
|
{
"pile_set_name": "DM Mathematics"
}
|
s digit of y(h)?
8
Suppose -60 = -c - 3*c. Suppose 4*j - 2*a = 0, -j + 4 = 5*a - 18. Suppose 0*f + f - j*i = c, 0 = 3*i. What is the tens digit of f?
1
Suppose 4*n - 3*q + 6 = 0, -6*q = 2*n - 2*q + 14. Suppose -5*a + 10 = -15. Let c = a + n. What is the units digit of c?
2
Let w = 14 + 18. What is the tens digit of 239/4 - (-8)/w?
6
Let b be 6/(-3 - (-27)/6). Suppose 4*a - 528 = -b*a. What is the tens digit of a?
6
Let i(c) = c + 5. Let q(x) = x - 2. Let m(o) = i(o) + 4*q(o). What is the tens digit of m(6)?
2
Let u be 0/((1 - 3)/(-2)). Suppose u = 21*z - 22*z. Suppose v + 4*v - 10 = z. What is the units digit of v?
2
Suppose -540 = -3*m - y, -5*y - 40 + 220 = m. What is the tens digit of m?
8
What is the tens digit of (-63)/168 - (-13542)/16?
4
Let x(z) = -33*z**2 - 2*z + 7. Let t(m) = -32*m**2 - m + 7. Let u(g) = -3*t(g) + 2*x(g). Let f be u(3). Suppose 2*j + 3*j - f = 0. What is the units digit of j?
2
Suppose 3*i + t = 5771, 0*t - 7691 = -4*i - 5*t. What is the hundreds digit of i?
9
Let t = -46 + 88. Let u be (-12 - -12)/(4/2). Suppose t = -u*d + 2*d. What is the units digit of d?
1
Let p = -116 - 68. Let w = 17 - p. What is the units digit of w?
1
Suppose 0 = -4*m - 15 - 1, 0 = a + 3*m - 499. What is the hundreds digit of a?
5
Let l be (8/(-9))/(-4) - 5275/45. Let m = -49 - l. What is the units digit of m?
8
Let d = -436 - -1792. What is the thousands digit of d?
1
Let a(n) = 2*n + 9. Let b be (-15 + 3)/(-3) - 3. Let v = b - -17. What is the units digit of a(v)?
5
Suppose 14 = -3*o + 2*o. Let y be (7/(-14))/((-1)/o). What is the units digit of -1*5*(y - -6)?
5
Suppose 0 = -3*a + 2*v - 26, -5*a - 48 = -5*v - 8. Suppose 4*y = 83 + 77. Let n = y + a. What is the units digit of n?
0
Suppose 3716 = 5*k - 4809. What is the units digit of k?
5
Suppose -37*o + 11805 - 705 = 0. What is the units digit of o?
0
Suppose -3*k - 56 = 3*s - k, 4*k = s. Let c = 25 + s. What is the units digit of 1/1 + (c - 3)?
7
What is the units digit of 2*(2695/2 + 10)?
5
What is the thousands digit of 436414/332 + (-10)/4?
1
Let y(s) = 3*s**3 + 10*s**2 - 13*s + 15 - 4*s**3 + 5. Let z(h) = -2*h**3 + 12*h**2 + 14*h + 8. Let o be z(7). What is the tens digit of y(o)?
4
Let h be (1 - 27/(-15))*5. Let m be 1 + 0/(-2) + h. Suppose r = 4, -m = 2*g - 3*g - 2*r. What is the units digit of g?
7
Suppose -9*d + 121 = -1292. What is the hundreds digit of d?
1
Let q(b) be the second derivative of -b**5/20 - 13*b**4/12 + 13*b**3/6 + 21*b**2/2 - 5*b. What is the units digit of q(-14)?
5
What is the units digit of 17045/15 + 9/(-27)?
6
Suppose -7*k = -3*d - 9*k + 8725, 5*k = 5*d - 14575. What is the thousands digit of d?
2
Let l(f) = 2*f**2 - 2*f + 2. Let b be l(2). Suppose a + b = -n - 2*a, -a = 3*n - 6. What is the units digit of n?
3
Let j = 113 - 1802. What is the tens digit of 2/(-3) + j/(-9)?
8
Suppose 6*f - 2*f + q - 5 = 0, 0 = 5*f - 2*q - 3. Let o be -4*f/2 + 2. Suppose o*y - 5*y = -115. What is the units digit of y?
3
Let t(y) = -4*y + 3. Let u be t(-3). Let n(a) = 7 + 3 + 2*a - u. What is the units digit of n(6)?
7
Suppose -10*s + 12067 - 1977 = 0. What is the tens digit of s?
0
Suppose -5*q - 450 = 395. Let l = -84 - q. What is the tens digit of l?
8
Let p be 108 - -3*(-4)/(-6). Let l be 6*3017/420 + (-1)/10. Let j = p - l. What is the tens digit of j?
6
Suppose 0 = -20*k + 5*k + 5145. What is the tens digit of k?
4
What is the tens digit of (5225/(-30))/(-11)*6?
9
Let l = -7 - -12. Suppose 7 = -l*t - 23. What is the tens digit of (t + 2)*(-10 + 4)?
2
What is the hundreds digit of 793 + (-3)/((-15)/(-5))?
7
Let h = -370 - -622. Suppose 3*s - h = -0*m + 3*m, -90 = -s - 2*m. What is the tens digit of s?
8
Let m = -8 - -19. Suppose 2*i - 3 - m = 0. Suppose 3*n = -z + 11, -z = i*n - 5*n - 7. What is the units digit of n?
4
Let q be -6 + 561 + 4/4. Let o = q - 352. What is the units digit of o?
4
What is the units digit of (2 - -5)/7*105*3?
5
Suppose 0*j + 362 = j + 3*v, -v = 5*j - 1796. What is the tens digit of j?
5
Let m be (3/4)/(3/(-144)). Let s = -25 - m. What is the tens digit of s?
1
Let f be 9/(-2)*4/(-6). Suppose -4*t = f*r - 25, 3*r - t - 35 = r. What is the units digit of r?
5
Let j(p) = 12*p - 24. Let n(u) = 11*u - 24. Let t(x) = 5*j(x) - 4*n(x). What is the tens digit of t(6)?
7
Suppose -4*l + 998 = -f - 122, 2*f - 271 = -l. What is the tens digit of l?
7
Let d = 3 + -8. What is the units digit of d + 12/4 + 33?
1
Suppose -3*l = -4*y + 9, 2*l = 2*y + l - 5. Suppose -u + 4*u - 4*b - 297 = 0, 5*u - y*b = 495. Let a = -53 + u. What is the tens digit of a?
4
Let h(s) = -s**3 + 9*s**2 + s + 9. Let d(k) = -3*k - 33. Let b(g) = -g - 17. Let a(l) = -5*b(l) + 2*d(l). Let m be a(10). What is the units digit of h(m)?
8
Let o(w) = -w**3 - w**2 + w - 5. Let r be o(0). Let u = -16 + r. Let m = 42 + u. What is the tens digit of m?
2
Suppose 76*s - 32 = 68*s. Let m = 29 + 5. Suppose 31 = c + s*a, c = -c - a + m. What is the units digit of c?
5
Let l = 2536 - 775. What is the hundreds digit of l?
7
Let u(t) = 174*t**2 + 6*t - 3. What is the units digit of u(1)?
7
Suppose 0 = 2*m - 3*g + 3, 2*g - 3*g = 3*m - 12. Let y = m + 3. Suppose 4*h + s - 36 = 0, -42 = -3*h - 3*s + y*s. What is the tens digit of h?
1
Let x = 1 + -40. Let d = 12 - x. What is the units digit of d?
1
What is the hundreds digit of (-17*(2 - -88))/(3/(-2))?
0
Let f(d) = -d**2 - 18*d + 24. Let l be f(-19). Suppose 78 = 6*v - 5*v - 2*u, 2*v - 174 = -l*u. What is the units digit of v?
2
Let a(z) = -2*z - 3. Let b be a(-2). Let d be (8/b)/2 + -2. Suppose 4*c = -y - c + 12, -d*c = 2*y - 48. What is the units digit of y?
7
Suppose -3*c = -3*o + 2*c - 39, 2*o + c = -13. Let d(n) = -n**2 - 10*n - 16. Let u be d(o). Suppose u = -4*a + 68 + 180. What is the units digit of a?
2
Suppose 8*g = -16 - 184. Let v = g + 100. Suppose 3*q + 5*p - 161 = 0, 49 = 2*q - 5*p - v. What is the units digit of q?
7
Let m(s) = -958*s + 17 + 20 + 1020*s. What is the tens digit of m(4)?
8
Let q(g) = 5*g - 2. Let i be q(-1). Let m(w) = w**2 - 2*w - 10. What is the tens digit of m(i)?
5
What is the hundreds digit of (-81650)/(-322) - 4/7?
2
Suppose -8*l + 11*l - 75 = 0. Let y = 11 + l. What is the tens digit of y?
3
Suppose 2*k - 2*x = -0*k, k = 2*x + 2. Let w = -485 + 483. What is the units digit of k/w*(-11 + 13)?
2
Suppose 29*l - 30*l + 1779 = 0. What is the thousands digit of l?
1
Let c(x) = x**3 + 8*x**2 - 7*x - 10. Let a(s) = -s**3 - 8*s**2 + 6*s + 10. Let i(m) = 5*a(m) + 6*c(m). Let y = -28 + 19. What is the tens digit of i(y)?
1
Let j be 27/18*2/3. What is the tens digit of 14 - (1 - j/1)?
1
Let s(z) = 6*z + 5. Let m(d) = d - 6. Let g be m(0). Let x be s(g). Let o = x - -56. What is the tens digit of o?
2
Let f = 32 - 9. Let g = f - 5. What is the tens digit of ((-2)/(-6) - -1)*g?
2
Suppose 3*b = -2 + 8. Let v be (78/(-4))/((-1)/2). Suppose -o + v = -3*y, -o + b*y - 6*y + 4 = 0. What is the tens digit of o?
2
Let f be -102 + 0*(-1 + 2). Let k be (1/3)/((-1)/f). Let y = 47 - k. What is the units digit of y?
3
Suppose -w - 3*w - 309 = -5*x, 329 = 5*x + w. Let r = x + -45. Let g = 28 - r. What is the units digit of g?
8
Suppose 2*f - 38 = -8. Suppose -5*i = 5*s - 5, -f = 2*s + s. What is the units digit of i?
6
Let v = 1986 + -1205. Suppose 4*d + v = 4*h + 7*d, -975 = -5*h - 4*d. What is the tens digit of h?
9
Let k = -15 - -11. Let c be ((-30)/(-4))/((-3)/k). Let x(t) = t**2 - 10*t + 8. What is the units digit of x(c)?
8
Suppose -5*j = -89 - 56. Suppose g - 23 = 33. Let d = g - j. What is the tens digit of d?
2
Let q = 8 - 4. Suppose -2*b + q*i - 10 = 0, 3*i = -3*b + 2*i + 13. Let z = 3 + b. What is the units digit of z?
6
Let q(b) = 53*b - 1. Let i be ((-4)/(-6)*-3 - -3)*2. What is the tens digit of q(i)?
0
Suppose -5*f + 3*o = -2*o - 65, -f - 4*o - 12 = 0. Let j(z) = -1 + 10 - z + 0 + f. What is the tens digit of j(-13)?
3
Let n(c) be the second derivative of 5/2*c**3 - c**2 + 0 + 2*c. What is the units digit of n(2)?
8
Suppose 4*n - 100 = -k, 4*k - 125 = 4*n + 195. Let z = -38 + k. Suppose 3*d - z = 5*t, -42 = -3*d - d - 3*t. What is the units digit of d?
2
Let k = -94 + 260. What is the hundreds digit of k?
1
Let s be (-10 + 6)/(2/(-6)). Let v(i) = -2*i**3 + 25*i**2 - 13*i + 13. What is the units digit of v(s)?
1
Let w(c) = -c**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
d 81/135716.
271432
What is the least common multiple of 11 and 1041441?
11455851
What is the smallest common multiple of 423 and 1833?
5499
Calculate the common denominator of 117/4312 and 31/4312.
4312
Calculate the least common multiple of 312 and 7144.
278616
What is the common denominator of -125/29376 and 89/16512?
2526336
Calculate the smallest common multiple of 16 and 140852.
563408
Calculate the smallest common multiple of 795 and 15105.
15105
What is the common denominator of -22/139959 and 139/466530?
1399590
Calculate the common denominator of -8/5 and 121/102.
510
What is the common denominator of 5/19208 and 7/596?
2861992
What is the smallest common multiple of 12690 and 180?
25380
What is the common denominator of 143/13356 and 85/224?
106848
Calculate the smallest common multiple of 3959 and 5069.
542383
Calculate the lowest common multiple of 25180 and 226620.
226620
Find the common denominator of -31/14 and 95/35634.
249438
Find the common denominator of -24/61 and 17/4.
244
Find the common denominator of 91/2 and 19/281060.
281060
Find the common denominator of -69/34112 and 47/11232.
921024
Find the common denominator of 97/16608 and 161/1584.
548064
What is the common denominator of 107/44282 and 103/695860?
4871020
What is the lowest common multiple of 4 and 14690?
29380
Find the common denominator of -17/18480 and 7/48.
18480
Calculate the smallest common multiple of 12006 and 162.
108054
What is the smallest common multiple of 6512 and 2849?
45584
Calculate the common denominator of 151/60 and -81/7730.
46380
Calculate the lowest common multiple of 110630 and 212750.
2765750
What is the least common multiple of 20 and 148290?
296580
What is the smallest common multiple of 2340800 and 18?
21067200
What is the common denominator of 109/64848 and 109/84?
64848
Calculate the least common multiple of 1045330 and 361845.
9407970
Calculate the least common multiple of 22 and 3614170.
39755870
Calculate the common denominator of -79/2310 and 1/4830.
53130
Calculate the smallest common multiple of 22 and 254054.
2794594
Calculate the common denominator of -37/5960 and 89/3080.
458920
What is the smallest common multiple of 112434 and 176682?
1236774
What is the smallest common multiple of 735208 and 58?
735208
What is the common denominator of 19/1711 and -99/18290?
530410
Find the common denominator of -79/54 and -83/270.
270
Find the common denominator of 61/18 and 79/230252.
2072268
Calculate the common denominator of -21/11 and -83/28958.
318538
What is the common denominator of 35/913 and 62/13363?
146993
Calculate the smallest common multiple of 1545 and 19610.
6059490
Calculate the lowest common multiple of 132759 and 96552.
1062072
Calculate the common denominator of 13/12420 and -61/900.
62100
Find the common denominator of 85/1232 and 113/2464.
2464
Calculate the lowest common multiple of 14388 and 33.
14388
What is the lowest common multiple of 37625 and 8729?
1091125
What is the smallest common multiple of 88 and 4600?
50600
What is the smallest common multiple of 6 and 91551?
183102
Calculate the lowest common multiple of 17480 and 224.
489440
What is the common denominator of 32/795 and -43/2103?
557295
Calculate the least common multiple of 3552 and 80.
17760
Calculate the lowest common multiple of 318 and 38.
6042
Calculate the common denominator of -1/302244 and -77/201496.
604488
What is the least common multiple of 105 and 90713?
1360695
Calculate the least common multiple of 522 and 50460.
151380
What is the common denominator of -85/42408 and 29/381672?
381672
Calculate the least common multiple of 10368 and 27648.
82944
What is the smallest common multiple of 14780 and 10?
14780
Find the common denominator of 169/31740 and -73/45.
95220
What is the smallest common multiple of 13648 and 8?
13648
Find the common denominator of 97/84576 and -109/78.
1099488
What is the least common multiple of 2310 and 1650?
11550
Find the common denominator of 87/77960 and -181/116940.
233880
Find the common denominator of 47/5475 and 113/1164.
2124300
What is the smallest common multiple of 12220 and 25?
61100
What is the smallest common multiple of 35538 and 15?
177690
Calculate the smallest common multiple of 20176 and 143.
221936
Calculate the common denominator of -53/83266 and -51/8.
333064
What is the lowest common multiple of 2860380 and 80?
11441520
What is the least common multiple of 2420 and 664?
401720
Calculate the lowest common multiple of 258 and 42327.
3640122
Find the common denominator of 57/68 and -30/13753.
55012
Calculate the least common multiple of 1256 and 2204.
692056
Calculate the lowest common multiple of 104715 and 75.
523575
Find the common denominator of 13/360 and -61/39300.
235800
What is the least common multiple of 2625 and 1385?
727125
Find the common denominator of -28/545 and 93/176144.
880720
Calculate the least common multiple of 182744 and 822348.
1644696
Calculate the lowest common multiple of 392 and 210.
5880
Calculate the common denominator of 41/16215 and 31/304842.
1524210
What is the least common multiple of 18632 and 52?
242216
Find the common denominator of 71/396 and -67/100485.
401940
Calculate the lowest common multiple of 1386 and 6446.
406098
Calculate the lowest common multiple of 342 and 3370.
576270
What is the smallest common multiple of 5708 and 37102?
74204
Calculate the common denominator of 34/1485 and 7/18.
2970
Calculate the common denominator of 28/21373 and -37/871.
277849
What is the lowest common multiple of 2156 and 638?
62524
Calculate the least common multiple of 4254 and 19852.
59556
Calculate the lowest common multiple of 26577 and 2953.
26577
Calculate the common denominator of 133/219708 and 83/238.
1537956
What is the smallest common multiple of 18432 and 18432?
18432
Calculate the smallest common multiple of 662806 and 96996.
3976836
What is the common denominator of -169/1554 and -41/85729?
514374
Calculate the least common multiple of 144 and 76920.
461520
What is the least common multiple of 9288 and 69660?
139320
Calculate the common denominator of 33/51910 and -71/174.
155730
Calculate the smallest common multiple of 294 and 76.
11172
Calculate the common denominator of 11/2040 and -97/3944.
59160
What is the least common multiple of 621 and 6510?
1347570
Calculate the common denominator of 13/42 and 25/46.
966
Calculate the common denominator of 47/4910 and -17/13748.
68740
Calculate the lowest common multiple of 1134508 and 44.
12479588
What is the lowest common multiple of 60 and 391548?
1957740
Find the common denominator of -163/39816 and 209/14700.
6967800
Calculate the common denominator of -77/138 and -71/5313.
10626
Calculate the least common multiple of 15568 and 4448.
31136
Find the common denominator of -97/17290 and -56/7345.
1953770
Calculate the common denominator of -8/1903 and -18/25777.
283547
Calculate the smallest common multiple of 182052 and 5446.
1274364
Find the common denominator of -22/10259 and 67/20518.
20518
What is the common denominator of -27/10 and 3/3571324?
17856620
What is the lowest common multiple of 257558 and 18397?
257558
Calculate the lowest common multiple of 441 and 2472.
363384
What is the smallest common multiple of 367698 and 12?
735396
What is the lowest common multiple of 11024 and 2379?
2017392
What is the common denominator of -115/3108 and -123/100?
77700
Find the common denominator of -127/2301950 and 52/7.
2301950
What is the least common multiple of 216930 and 35?
216930
Calculate the common denominator of 25/11 and 67/203634.
2239974
Calculate the smallest common multiple of 846 and 24111.
48222
What is the smallest common multiple of 150 and 240390?
1201950
What is the least common multiple of 126 and 141302?
1271718
What is the common denominator of -13/101568 and 31/46?
101568
Calculate the common denominator of 169/648900 and -11/38625.
3244500
Calculate the common denominator of 5/132 and 121/11362.
749892
What is the lowest common multiple of 192 and 17616?
70464
What is the lowest common multiple of 733796 and 4088?
1467592
Find the common denominator of -73/1652 and 91/5428.
37996
Calculate the least common multiple of 1816 and 9307.
74456
What is the lowest common multiple
|
{
"pile_set_name": "DM Mathematics"
}
|
-30)/(-15))/1)/(3 + 4/(-1)). Which is the closest to 8? (a) -0.3 (b) w (c) 0.16
c
Let q be ((-6)/(-27))/(7/63). Let r(h) = -2*h**2 + 30*h + 366. Let z be r(-8). What is the nearest to 1/4 in q, z, 133?
q
Let g = 400 - 522. Let b = g - -121. What is the nearest to b in 2/5, -1, -4, -25?
-1
Let t = 0.0778 + -4.9898. Let o = t + -0.088. Let l be (2 - 1)*(5 - (-12)/(-3)). What is the nearest to l in -2, 1/5, o?
1/5
Let f = 98.4 + -98.3. Let y = -87 + 611/7. Which is the closest to 0.036? (a) y (b) -0.5 (c) f
c
Let l = 470 + -469.746. Let a = -1.854 + l. What is the nearest to 2/5 in -5, a, -5/3?
a
Let p be 102/(-8)*(-27)/(4860/4632). Let v = -328 + p. Suppose 4 = -l - l. Which is the closest to -1? (a) v (b) l (c) 2/3
b
Let t = 3.2 - 27.2. Let i = 27.2 + t. What is the closest to i in 0.1, 0.3, -5/6?
0.3
Let u = 340 + -863. Let p = u + 517. Let l = 1.1 - 0.1. What is the nearest to l in 0.4, p, 1?
1
Let s = 23 - 22. Let y be 94/(-104) + s + (-22)/(-143). What is the nearest to -6 in -3/5, y, 1?
-3/5
Suppose 22*i - 11270 = -11380. Let w(b) = b + 7. Let y be w(-8). What is the closest to -7 in -3, y, -2/5, i?
i
Suppose p + z = 1, -p - 3*z = 2 + 1. Let n(r) = -r**3 - 4*r**2 - r - 2. Let x be n(-4). Suppose t = p*t - x. What is the nearest to -2 in 0, t, -1?
-1
Let f(d) = -d - 1. Let s be f(-6). Let u = -392.61 + 0.61. Let v = 391.9 + u. Which is the nearest to 0? (a) s (b) -0.3 (c) v
c
Suppose -15*u - u = -720. Let q be 26/195 + 1/u*-11. What is the nearest to -1/2 in 3, 2/11, q?
q
Suppose 10*h + 10 = 5*h. Let o be 1/(-6)*(h + 1). Suppose 0*p - 3*p = 5*l - 23, -2*p = -3*l + 10. Which is the closest to p? (a) -0.4 (b) o (c) 0
b
Let i = -8.587 + 5.587. Which is the nearest to 6? (a) i (b) -0.23 (c) 2
c
Let n = 0.081 + -5.081. Let w be 0*(5 + -8*(-4)/(-8)). Which is the nearest to 0.03? (a) n (b) -4 (c) w
c
Let n = 1041 - 2097/2. Which is the closest to n? (a) 0 (b) 2/9 (c) 3
a
Let z be (4/8)/(29/(-58))*(-8)/(-12). Which is the closest to z? (a) -6/11 (b) 2 (c) 4 (d) 0
a
Suppose 36*w - 37*w - q - 1 = 0, -5*w = -5*q - 45. Suppose w = -244*d + 246*d. Which is the closest to -0.2? (a) 4 (b) -9 (c) d
c
Let o = -5211 + 5215. Which is the closest to -1/4? (a) -51 (b) o (c) -0.3
c
Let w = -48 + -161. Which is the nearest to w? (a) -5 (b) -1 (c) 1/3 (d) -0.2
a
Let o = -18191 - -18188. What is the nearest to -1/4 in 0.5, o, 11/6?
0.5
Let q = -1.8 - -0.7. Let r(u) = 5*u**2 + 13*u - 104. Let n be r(-6). What is the nearest to q in n, 0.4, 2?
n
Let b = 116919 + -116919. Suppose z - 2 = -0*z. What is the nearest to 7 in z, 3, -0.3, b?
3
Let o = -56 - -86. Let f = -25 + o. Suppose 2*b - 2 + 6 = 0. What is the nearest to 4 in f, 0.3, b?
f
Let u = 2.26367 + -3.26367. Let y = 0.1 + 0. What is the nearest to y in u, -3/2, 45, -0.3?
-0.3
Let q = -3 + 3.1. Let n = 20.4 - 23.4. Which is the nearest to q? (a) n (b) 1/2 (c) -2
b
Let b = -88297/83828 + 3/4412. What is the closest to -0.2 in 4, -0.2, b, 1/8?
-0.2
Let w = -42 + 41.5. Let d = -198585/53 - -3747. Let j = -292/1643 + d. Which is the closest to j? (a) 3 (b) 1/3 (c) w
b
Let i be 0 + (-92)/(-36) + -3. Let l be (0 - (-61)/2)/(3/6). Let v = 60 - l. Which is the closest to v? (a) -5 (b) -0.6 (c) i
b
Let z = -95.14 - -94.74. What is the closest to 2/7 in z, 0.5, -0.06?
0.5
Let c = -11046.353 - -11058. Let h = -0.353 - c. Let b = -13/12 - -1/3. What is the nearest to 1/4 in 0.5, h, b?
0.5
Suppose 136*v - c = 141*v - 43, 3*c = -3*v + 33. What is the nearest to 0.11 in -0.2, 3, v?
-0.2
Let c = 2300.2 - 2307. What is the closest to c in -2, 0, 1, 4?
-2
Let i = 17899 - 17898. Which is the nearest to 1? (a) 20 (b) 2/3 (c) i (d) -3/7
c
Let g be (-34)/(-102)*(-2 + (3 - 1)). What is the nearest to g in 4, 12, 8/7?
8/7
Let l = -0.341 + 0.253. Let k = -0.288 - l. Let v = 1.1 - 1.2. Which is the nearest to v? (a) k (b) 3 (c) -0.5
a
Let k = -399 + 398. Let w be (-2)/(4/(-5)) + -2. Which is the closest to w? (a) k (b) -4 (c) -4/7
c
Let i = 8/1101 + 869/31929. What is the nearest to -1/3 in -0.5, -0.03, i, -5?
-0.5
Let j be ((-14)/6 - -2)/(730/1095). Which is the closest to 2/7? (a) 0.1 (b) 0 (c) j (d) 0.2
d
Let j(n) = n**2 + n - 3. Let w be j(2). Suppose 3*t - w*o = -0*t, o = -4*t + 10. Let p be t - (264/(-63))/(-2). Which is the closest to 0? (a) 5 (b) p (c) 0
c
Let l = 6 + -4. Let i = -209 + 204. Let c = -1 - -0.7. What is the closest to c in 4, l, i?
l
Let n be (-12 - -15)/3 - -9. Which is the nearest to -1/5? (a) -0.6 (b) 1/3 (c) n (d) -3/2
a
Let k = -0.362 + -2.118. Let x = 2.08 + k. What is the closest to 1/4 in -1/39, x, 1?
-1/39
Let h(k) = k - 2. Let w be h(6). Let v be ((-35)/((-350)/(-12)))/((-1)/(-45)). Let i be 45/(-5)*12/v. Which is the nearest to w? (a) i (b) 5 (c) 0.4
b
Let l = -24008 - -24019. Let q be 1/2 - (-2)/4. What is the nearest to -0.1 in 0.5, l, q?
0.5
Let y = 3 + -6. Let h be (-9)/(-45)*(63 + -58). Which is the closest to 0.2? (a) h (b) 2/7 (c) y
b
Let i = 48.3 + -73. Let u = -24.8 - i. Let p = 5.6 - 6. Which is the nearest to u? (a) p (b) 2 (c) 6
a
Let s = 1 - 0. Let m be (-66)/385*((-52)/8 + 9). Which is the nearest to s? (a) m (b) -1 (c) -0.1
c
Let z = -0.10588 - -2.10588. What is the nearest to 51 in z, 3, 0.1, 12?
12
Let a = -200.5 - -200.7. Let u = -332/35 - -46/5. What is the nearest to -0.1 in a, -14, u?
u
Let v = 6921.2 + -6921. Which is the closest to -0.6? (a) -1 (b) v (c) 0.5 (d) -1.6
a
Let m = 2404 - 2401. What is the closest to -67 in 1/6, m, -1/4?
-1/4
Let g = 39.26 + -46.26. What is the nearest to g in -0.5, -2/9, 7, -2/13?
-0.5
Let y = 1609.9 - 1619.9. What is the nearest to y in 3, 1, -25.9?
1
Let y be 1 - 3 - (-7)/3. Let w = 1.7 + 0.3. Let f = -0.35 - -0.15. Which is the closest to f? (a) y (b) w (c) -1
a
Let u be 5 - ((-173)/692 + 2/((-40)/(-97))). What is the nearest to u in 3/4, 3/7, 2?
3/7
Let o be (-8)/(-28) - (-32599)/(-67620). Let w = 1/276 - o. Which is the closest to w? (a) 1/5 (b) -0.1 (c) -1
a
Let i be 4 + (1 - 4) - 10/14. Let h = 0 + 1. Let y = 135 + -135. Which is the nearest to h? (a) i (b) 0.4 (c) y
b
Let h = 40 - 44. Let l = -3614/3 + 1204. What is the closest to -1/2 in l, 0, h?
l
Let p be 258/602*14*2/(-24). Let n be 2/6*6/8. Which is the closest to n? (a) p (b) 4 (c) 1.1
a
Let k = -5 - -4. Let h = -34624 - -34619. Which is the closest to 0.1? (a) k (b) 2 (c) h
a
Let f = 1275 + -1279. What is the closest to 2/7 in 0.2, -0.16, f?
0.2
Let b be ((-2076)/(-2768))/(21/(-8)). Let q = 552/1355 - 2/271. What is the nearest to q in 3, -2/5, b?
b
Let x = -13.6532 + -0.3468. Which is the closest to -11? (a) 1/4 (b) x (c) -4
b
Suppose 173*y - 44 = 176*y + 5*k, -5*k + 20 = -5*y. What is the nearest to -140 in y, 1, -0.2?
y
Let l = 0.358 - 0.558. Which is the closest to 1? (a) 2 (b) 2/9 (c) l (d) -727
b
Let f be (-3 - -1 - 1) + (-26526)/(-7749). Let y = f - -2/369. Which is the nearest to -1? (a) y (b) 1 (c) 3
a
Let w = -6106 + 6109. Which is the closest to w? (a) 0.06 (b) -1/3 (c) 0.4
c
Let x = 156.7 + -157.7. Which is the nearest to x? (a) -3 (b) 3.6 (c) 0
c
Let y = -6639.8 - -6640. Which is the nearest to 1? (a) y (b) 0.111 (c) 11
a
Let o = 2205.9 + -2205.9. Which is the closest to o? (a) -3/4 (b) 18 (c) -6 (d) -1
a
Let f = 30.542 - 30.342. What is the closest to 7 in -0.2, 0, f, 0.68?
0.68
Let j = -57 + 33. Let h = 44 - 14. Let l = h + j. Which is the nearest to 0.1? (a) -0.2 (b) -2/15 (c) l
b
Suppose v + 6*z - 2*z + 121 = 0, z = -2*v - 242. Let f = 109 + v. Let d be 9/f + (-210)/(-216). What is the closest to 0.2 in 1/17, 3, d?
d
Let s(p) = 2*p**2 + 51*p - 49. Let l be s(1). Let h = -2 + 3. What is the closest to l in 0.04, -3/2, h?
h
Let o = -0.074 + -0.926. Let w = -188 + 176.3. Let z = -11.3 - w. Which is the closest to z? (a) -1/7 (b) o (c) -0.3
a
Let k = -4.4 - -4.63. Let a = k - -0.07. Let j = -8108/5 + 1622. What is the nearest to j in -0.1, a, -1/6?
a
Let l be ((-248)/(-84) - 2) + 8/(-28). Let q = -297/316 + 15/79. What is the closest to l in q, -5, -4?
q
Let z = 12 + -14. Let w = 134.5 + -171. Let j = w - -36. Which is the closest to z? (a) 4 (b) j (c) 4/3
b
Let g = 3.795 + -3.29. Let v = g - 9.505. Which is the nearest to v? (a) -1 (b) -
|
{
"pile_set_name": "DM Mathematics"
}
|
oooommqo?
1/2380
Calculate prob of sequence uaj when three letters picked without replacement from xxaxaxuxuxdaxajdxaah.
1/570
Two letters picked without replacement from {c: 1, d: 8, l: 11}. Give prob of sequence cd.
2/95
What is prob of sequence tq when two letters picked without replacement from qkkqxqtqqukqtjt?
3/35
What is prob of sequence zf when two letters picked without replacement from {z: 7, f: 2, j: 7, t: 1}?
7/136
What is prob of sequence uua when three letters picked without replacement from {a: 2, u: 4, s: 3}?
1/21
Four letters picked without replacement from {k: 1, h: 3, t: 2, a: 3, s: 1}. What is prob of sequence khah?
1/280
What is prob of sequence gsg when three letters picked without replacement from gggggssgg?
1/6
Calculate prob of sequence tt when two letters picked without replacement from {b: 1, t: 3, n: 1, w: 1, p: 1}.
1/7
Calculate prob of sequence wih when three letters picked without replacement from {g: 1, h: 2, i: 1, w: 6, j: 3, o: 2}.
2/455
Three letters picked without replacement from imumuiumubui. What is prob of sequence ibu?
1/88
What is prob of sequence jj when two letters picked without replacement from yyjsjrrrrrrrwwrws?
1/136
Calculate prob of sequence tff when three letters picked without replacement from {f: 19, t: 1}.
1/20
Four letters picked without replacement from {h: 1, p: 3, g: 1}. What is prob of sequence pghp?
1/20
What is prob of sequence tott when four letters picked without replacement from {t: 15, o: 4}?
455/3876
What is prob of sequence psa when three letters picked without replacement from {s: 3, p: 2, t: 2, w: 1, a: 9}?
9/680
Two letters picked without replacement from oso. Give prob of sequence oo.
1/3
Four letters picked without replacement from {u: 11, a: 4, s: 4}. Give prob of sequence sssu.
11/3876
Calculate prob of sequence tcbp when four letters picked without replacement from {p: 9, t: 2, c: 1, b: 4, q: 1}.
3/2380
What is prob of sequence ffm when three letters picked without replacement from {d: 2, a: 4, m: 1, f: 1}?
0
Calculate prob of sequence bb when two letters picked without replacement from {b: 10}.
1
Calculate prob of sequence ztt when three letters picked without replacement from {z: 1, t: 2, q: 1}.
1/12
Calculate prob of sequence twtt when four letters picked without replacement from {x: 4, w: 3, t: 6}.
3/143
What is prob of sequence vj when two letters picked without replacement from zvzjzzzzzzgzzzzjz?
1/136
Calculate prob of sequence hoph when four letters picked without replacement from hhphhhrhhopwhpppphpp.
8/1615
Two letters picked without replacement from ddo. What is prob of sequence do?
1/3
Two letters picked without replacement from {n: 2, c: 3, b: 1, o: 2, p: 9}. What is prob of sequence nc?
3/136
Calculate prob of sequence nji when three letters picked without replacement from {i: 1, t: 2, o: 2, b: 1, j: 1, n: 2}.
1/252
Three letters picked without replacement from ymmiyiiiiiyim. What is prob of sequence ymi?
21/572
Four letters picked without replacement from jmrrmrrrjjrrjjrrrj. What is prob of sequence jrmj?
5/612
What is prob of sequence kl when two letters picked without replacement from lllklqqiqqq?
2/55
What is prob of sequence oo when two letters picked without replacement from uotpo?
1/10
Two letters picked without replacement from {x: 3, j: 4}. What is prob of sequence jx?
2/7
Two letters picked without replacement from yeyyp. What is prob of sequence yp?
3/20
Calculate prob of sequence qqz when three letters picked without replacement from {d: 2, z: 3, q: 12}.
33/340
Two letters picked without replacement from ectkeiktkkseekkt. Give prob of sequence et.
1/20
Two letters picked without replacement from {k: 5, o: 3, b: 3}. Give prob of sequence ko.
3/22
Four letters picked without replacement from {w: 1, t: 2, v: 2, x: 2, q: 1}. Give prob of sequence wvqx.
1/420
Four letters picked without replacement from {k: 2, y: 3, g: 2, h: 8, w: 2}. What is prob of sequence hhkh?
1/85
Four letters picked without replacement from {s: 4, g: 1, i: 2, a: 1}. What is prob of sequence gsai?
1/210
Four letters picked without replacement from {r: 8, k: 3, o: 7}. What is prob of sequence krok?
7/1530
Four letters picked without replacement from uaquu. What is prob of sequence uauu?
1/20
Four letters picked without replacement from {y: 5, i: 3, m: 2}. Give prob of sequence immy.
1/168
What is prob of sequence rr when two letters picked without replacement from rbbbbsbbbbbfrf?
1/91
Calculate prob of sequence cccc when four letters picked without replacement from {z: 8, c: 5}.
1/143
Three letters picked without replacement from hcnn. What is prob of sequence hnh?
0
What is prob of sequence anx when three letters picked without replacement from {x: 4, a: 2, z: 3, y: 2, n: 7}?
7/612
What is prob of sequence izs when three letters picked without replacement from {s: 4, c: 1, z: 1, n: 1, i: 2, o: 3}?
1/165
Three letters picked without replacement from qmqqqmfqqmbbqqbfbqb. What is prob of sequence bmb?
10/969
Calculate prob of sequence ma when two letters picked without replacement from {a: 2, w: 1, e: 1, n: 1, r: 1, m: 1}.
1/21
Two letters picked without replacement from stststsssssssss. What is prob of sequence ts?
6/35
Two letters picked without replacement from zkylzkkkklzll. What is prob of sequence ly?
1/39
Calculate prob of sequence vg when two letters picked without replacement from {n: 8, v: 1, g: 6}.
1/35
Three letters picked without replacement from wwiffilgwwgipp. Give prob of sequence iiw.
1/91
Two letters picked without replacement from {c: 1, g: 3, f: 3, a: 2, o: 3, v: 3}. Give prob of sequence fa.
1/35
Three letters picked without replacement from {h: 10, t: 5, j: 4}. Give prob of sequence ttt.
10/969
Two letters picked without replacement from {s: 2, r: 2, c: 1, e: 1, f: 2}. What is prob of sequence se?
1/28
Calculate prob of sequence ct when two letters picked without replacement from {t: 1, g: 11, k: 2, c: 2}.
1/120
What is prob of sequence wgmi when four letters picked without replacement from {w: 4, m: 2, i: 4, a: 2, g: 2, r: 1}?
8/4095
Three letters picked without replacement from dssddgs. Give prob of sequence ssd.
3/35
Two letters picked without replacement from ukcuggfgxkgfgfggf. What is prob of sequence xc?
1/272
Three letters picked without replacement from dzfddrdesffrdef. Give prob of sequence frr.
4/1365
What is prob of sequence kvxa when four letters picked without replacement from {x: 1, a: 1, n: 5, c: 1, k: 1, v: 3}?
1/3960
Calculate prob of sequence qqqq when four letters picked without replacement from {q: 5, t: 5}.
1/42
Calculate prob of sequence qn when two letters picked without replacement from qyhdqhndqnhhhdh.
1/35
Calculate prob of sequence ww when two letters picked without replacement from wwwzzqwwqjqz.
5/33
Calculate prob of sequence xxii when four letters picked without replacement from xixixxxioxixo.
21/715
Two letters picked without replacement from {z: 1, k: 1, b: 1, g: 1, s: 1, n: 2}. What is prob of sequence bg?
1/42
Three letters picked without replacement from oauuadzq. Give prob of sequence zad.
1/168
Three letters picked without replacement from ppppppppp. Give prob of sequence ppp.
1
Calculate prob of sequence hp when two letters picked without replacement from ppnpppplpnhlllhnp.
1/17
What is prob of sequence jb when two letters picked without replacement from xjjjxxkbxjkbxxjkx?
5/136
Calculate prob of sequence tgt when three letters picked without replacement from {n: 1, g: 7, t: 6, k: 4}.
35/816
Two letters picked without replacement from {b: 3, u: 3, o: 7, t: 2, a: 3}. What is prob of sequence au?
1/34
Four letters picked without replacement from wwllwljj. What is prob of sequence wwlj?
3/140
Calculate prob of sequence uk when two letters picked without replacement from skaukullul.
1/15
What is prob of sequence ph when two letters picked without replacement from {n: 1, p: 7, h: 5}?
35/156
Four letters picked without replacement from dydoyqqdqyhyqqq. What is prob of sequence dyyq?
3/455
What is prob of sequence ti when two letters picked without replacement from {d: 1, i: 1, t: 1}?
1/6
Two letters picked without replacement from {z: 7, m: 3}. What is prob of sequence zz?
7/15
Calculate prob of sequence iff when three le
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l = 0.1 - 0.3. Let r = l + -0.1. Which is bigger: 2 or r?
2
Suppose -2*b - 1 + 7 = 0. Which is smaller: b or 7?
b
Let j(n) = -n**3 + 11*n**2 - 8. Let g be j(10). Let k = 551/6 - g. Is -1 >= k?
False
Let k = -0.02 - -2.02. Is k bigger than -4?
True
Suppose -2*k + 15 = u, -2*u + 4*k = 3*u - 5. Suppose u*f = 3*f - 3*p + 159, -5*f - 2*p = -392. Let b be 1/4 + f/(-24). Is b > -3/2?
False
Let i be (-1)/(-3)*-3 + -2. Let p be i/7 + 104/14. Which is bigger: 5 or p?
p
Suppose 0 = -10*k + 5*k. Suppose k = u + 2 - 9. Suppose 4*l - 2*l = 14. Is l bigger than u?
False
Let j = -0.08 + 0.05. Let z = j - -0.03. Is z at most 0.1?
True
Let u = -6 - -9. Suppose -u*r = y + y - 3, -3*y - 18 = -3*r. Which is smaller: y or -2?
y
Let j be 7294/(-144) + 4/(-18). Let o = -51 - j. Which is greater: 1 or o?
1
Let m = -9 - -9.01. Let i = m + -9.01. Let k = 7 + i. Is k greater than 0?
False
Let u be (2/(-8))/((-6)/72). Let g be 1/15*-3*u. Let b be (6/4)/(3/(-4)). Is b < g?
True
Let u(j) = -j**2 + 7*j + 5. Let s be u(7). Suppose -10 = -0*k - s*k. Let h be 96/198 - k/3. Which is greater: -2/3 or h?
h
Let w = 0.7 + -0.6. Let l = w - 0.2. Are l and 0.2 unequal?
True
Let u(c) = -2*c**3 - 2*c**2 + c - 1. Let b be u(-2). Suppose 5*s + 9 + 6 = b*r, 2*s = 5*r - 9. Let h = 5 - 8. Is h greater than or equal to s?
False
Let t = 0.17 + -0.27. Let o = 1.3 - 1. Let q = 0.5 - o. Is q >= t?
True
Suppose -5 = -4*j - 1. Which is smaller: 7/3 or j?
j
Let h = 0.2 + -0.4. Let f = 0.3 + h. Is -0.2 smaller than f?
True
Let m be -7 + 12 + (-4)/2. Are m and 9 equal?
False
Let m = -37 - -25. Let c = -11 - m. Is 1 at most c?
True
Let v be 2/(1 - (-2 - -1)). Suppose 3 = -2*l + 1. Let c = v + l. Are 1 and c unequal?
True
Let v be (8/(-20))/((-1)/5). Is v less than or equal to 0?
False
Let y = 0.4 + -0.3. Let a be (8/66)/(2/3). Which is greater: a or y?
a
Let d be -1 - 8*(-1)/(-2). Suppose i + 5*b = 11, 0*i = -5*i + b - 23. Which is bigger: i or d?
i
Suppose 0*p = -2*p + 2. Let c = 0 + p. Let g be 8/10 + (-1)/5. Is g > c?
False
Let x = -36 - -28. Is x smaller than 0.3?
True
Suppose -l + 2*l + 24 = 0. Is l at most -24?
True
Let y(b) be the third derivative of -b**5/60 + b**4/8 + 5*b**3/6 - 4*b**2. Let o be y(4). Let a be 5/15 - (0 + o). Which is smaller: a or 3?
a
Let l = -0.134 - -2.424. Let w = -0.09 + l. Let z = w + -0.2. Do z and 0 have different values?
True
Let z = 1 - 0. Suppose -3*n + 10 = -8*n. Let l be (n/(-14))/(4 - 3). Do z and l have the same value?
False
Let c be 3 + -1 + 1 + -1. Let k = 4 - c. Is 0 at most k?
True
Let n be 24/16 - 7/4. Which is smaller: n or 2/3?
n
Let t = -31 - -29. Do 1/2 and t have the same value?
False
Suppose 2 = -4*v - 6. Suppose 3*y - 1 - 2 = 0. Let s = v + y. Which is greater: s or 2/5?
2/5
Let t(u) = u**3 - 4*u. Let y be t(3). Suppose 0*s + y = -5*s. Let v = s - -7. Is 1 at least v?
False
Let w be ((-8)/3)/(16 - 15). Is 0.1 equal to w?
False
Let k be (32/20)/((-2)/(-10)). Let g be (-6)/k*2*-4. Is g > 4?
True
Let b(a) be the third derivative of -1/8*a**4 - 1/15*a**5 + 1/120*a**6 + 0 - 2*a**2 - a**3 + 0*a. Let o be b(5). Is o < 2?
False
Let a be (0/(3/3))/(-2). Let y = 4 - a. Suppose -3*t - 2*h + 15 = 0, h + 10 - 1 = y*t. Which is greater: t or 4?
4
Let o = 5 - 6. Do o and -2 have different values?
True
Let m = 19 - 22. Which is greater: -26/5 or m?
m
Let d be (744/9)/(-4) + (-3)/9. Which is greater: d or -20?
-20
Let g be (-6)/(-4)*20/(-6). Let j be g/(1 + 0/4). Which is bigger: j or -4?
-4
Let w = 3 + -4. Let i = -6 - -5. Are i and w nonequal?
False
Let x be (4/12)/(19/(-63)). Let u = 277/285 + x. Let n = 3 + -4. Which is greater: u or n?
u
Let z = 3.3 + -1.3. Which is smaller: z or -4?
-4
Let c = -100 - -108. Let v = 20 - 12. Do c and v have the same value?
True
Suppose -2*f + 13 = 3*r + 2*r, r = 4*f - 15. Suppose f*x + 2*g - 22 = 0, 3*g - 6 = 3. Suppose w + 16 = -x*c, 3*w - 9 - 8 = c. Which is smaller: w or 2?
2
Let q be (-113)/234 + (-6)/27. Let y = 20/9 + -529/234. Let a = q - y. Is -1 equal to a?
False
Suppose 0 = -6*a - 4 + 16. Suppose t = 6*t - 35. Let x = t - 4. Is x greater than or equal to a?
True
Let k = -1.1 - 3.9. Let a = k - -4.4. Let q = a + 0.4. Is -0.1 equal to q?
False
Let l be (-3)/(-9)*30/55. Which is greater: 1 or l?
1
Let w = -1.26 - -0.26. Which is smaller: w or -2/11?
w
Let s be (-28)/(-6)*(-24)/(-16). Is s < -3?
False
Suppose 6*c + 17 = 5. Is 30 not equal to c?
True
Suppose -5*r + 8*r + 39 = 0. Is r >= -15?
True
Let a = -22 - -64/3. Let s = 0 - 1. Is s at most as big as a?
True
Let s be 2 + -2 + 2/(-6). Which is greater: 6 or s?
6
Suppose 3*d + 17 = 5*f, 3*f + 1 + 0 = -d. Suppose 6*y - 18 = 9*y. Let j be (-10)/(-6) - 2/y. Are f and j equal?
False
Let b = -3/26 - -8/13. Which is smaller: -4 or b?
-4
Let w = 0.19 + 2.41. Let r = w + -2.4. Which is smaller: r or 1/2?
r
Let l be (-1)/4*(-8)/(-3). Is -3 less than l?
True
Let c(p) = -3*p**3 + 2*p - 3. Let b be c(2). Let t be (-2)/7 + b/(-7). Let n(h) = h**3 - 4*h**2 - 6*h + 7. Let s be n(5). Is s less than or equal to t?
True
Let r = -102 + 101. Which is smaller: r or -7/17?
r
Let i be (-1664)/36 - (-4)/18. Let l be ((-1)/2)/(i/(-4)). Let p = 37/207 - l. Is 1 greater than or equal to p?
True
Suppose 2*c + 3*c - 25 = 0. Let m be ((-20)/30)/(2/(-18)). Is c equal to m?
False
Let t = -10.9 - -11. Let q = t + -0.1. Are q and 0.6 equal?
False
Suppose -2*x - 3*p = 8, 3*x + p = 2 - 7. Do x and -1 have the same value?
True
Let d = 6.3 + 1.7. Let l = 8.1 - d. Which is greater: l or 5?
5
Suppose -3*h - 19 = 4*i, 3*i = -2 - 1. Let q = h - 25. Let f be (q/(-20))/(2/(-4)). Is -2 < f?
False
Let m = 242/5 - 51. Is m greater than -2?
False
Let a(h) = 0*h + 0 + h - 3 - 1. Let n be a(0). Let u be (n/(-8))/((-21)/(-36)). Which is bigger: u or 0?
u
Suppose 3*s - 5*w + 5 = -7, 3*w = -2*s - 8. Let u = -40 + 37. Is s at least as big as u?
False
Let i be (2 + -1 - 5)/13. Let s = -1123 + 1122. Is s <= i?
True
Let q(v) = 19*v - 1. Let i be q(-1). Let a be i/28 + 8/(-28). Is a at least 2/15?
False
Let n be 13/52 - ((-51)/(-60) + -1). Which is smaller: -15 or n?
-15
Let p = 8 - 8. Suppose p = -s + 6 + 2. Suppose w - 8 = -4*d, 2*w + s*d - 10 = 3*d. Is 3/7 > w?
True
Let z = 4.9 + -5. Which is smaller: -5 or z?
-5
Let t be (2/36)/((-4)/(-8)). Let r be 3*(3 + -4)*-1. Suppose -r*g = -g. Which is smaller: g or t?
g
Let k = 6.6 + -6. Let w = -0.7 + k. Which is smaller: w or -3/4?
-3/4
Let g be (-1)/3 + (-5)/12. Let a = 1 + -3. Let h = a + 1.9. Is h greater than or equal to g?
True
Let a = -44.95 + 45. Is a at most -1?
False
Let d = -7 + 8. Let z = 3 - d. Which is smaller: 0.1 or z?
0.1
Let c = -16 + 15. Which is bigger: 5 or c?
5
Suppose 0 = -3*f - 3*y + 1 - 13, 5*y + 20 = 2*f. Let c be 1 - -2*(-1)/(-2). Suppose -c*n + 5*v = -5*n - 22, -n - 5*v = 24. Which is smaller: n or f?
f
Let c = 0 - -2. Suppose -2 = -12*h + 11*h. Let i = h - c. Which is greater: i or -3?
i
Let w = 2 + 7. Is w != 0.1?
True
Let c = 184 + -184.08. Which is bigger: -1 or c?
c
Suppose -6*g + 3*g - 6 = 0. Let i = g - -3. Which is bigger: i or -1/16?
i
Let c be (0 - (1 - 34))/(9 - 7). Is c < 17?
True
Let o = 178 - 182.92. Let b = 0.08 - o. Is b > 1/2?
True
Let o(v) = -v**2 + 7*v + 6. Let b = -11 - -17. Let m be o(b). Let a be 3/m + (-33)/100. Which is greater: 0 or a?
0
Let v(p) = p + 7. Let w be v(-6). Let m be ((-8)/28)/(2*-1). Which is smaller: w or m?
m
Let f = 74 + -74. Which is greater: f or 6/11?
6/11
Let a = -5.5 - -4. Let n = a + 1.4. Which is bigger: -0.3 or n?
n
Suppose 0 = -4*c - c. Suppose c = -4*a + a. Let l = -2203/9 + 245. Is l less than or equal to a?
False
Suppose 11*o + 7*o = 5*o. Is o > -7/5?
True
Let w = 3.5 + -0.5. Let s = 179 - 178.7. Which is bigger: w or s?
w
Let b = 3 - 2.96. Let d = 11.6 + -13.56. Let g = d - b. Which is bigger: 2/7 or g?
2/7
Let h = -182649/44 + 16487/4. Let b = h + 29. Which is bigger: 1 or b?
1
Let q = -13 + 18. Let t = 1 - q. Let h be -2 + ((-56)/6)/t. Which is smaller: 3 or h?
h
Suppose 5*d = -5*w - 70, 3*w - 2 = 4*d - 9. Is -9 < w?
False
Let m = -6 + 8. Let n be 18/(-20)*(-10)/6. Is m bigger than n?
True
Let y = -0.01 - -5.01. Let t = -6 + y. Let q = -0.2 - 0. Which is greater: t or q?
q
Let v = 186 + -169. Which is greater: -1 or v?
v
Let u(j) = -j. Let h be u(-2). Let a be (-3)/(20/12 - h). Does 10 = a?
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon factor of 621390 and 189420.
2310
Calculate the highest common factor of 6200 and 358825.
775
Calculate the greatest common factor of 980 and 47369770.
490
Calculate the highest common divisor of 2709 and 5551371.
63
Calculate the highest common divisor of 37387 and 170471.
343
Calculate the greatest common factor of 356290 and 1727.
11
What is the highest common factor of 2245219 and 14043?
151
Calculate the greatest common divisor of 968 and 81992.
8
What is the highest common factor of 1883 and 33116052?
269
What is the highest common divisor of 78208 and 19328?
128
What is the highest common divisor of 12544375 and 1875?
625
Calculate the greatest common factor of 360 and 971160.
120
Calculate the greatest common factor of 1457 and 279227.
47
Calculate the greatest common divisor of 217090 and 7870.
10
What is the greatest common divisor of 10495002 and 420?
42
Calculate the highest common factor of 188285 and 85.
5
Calculate the greatest common divisor of 129672 and 249552.
72
Calculate the highest common divisor of 20 and 9278110.
10
Calculate the greatest common divisor of 12002 and 124950.
34
What is the greatest common factor of 26052 and 499876?
52
What is the highest common divisor of 152 and 25763772?
76
What is the highest common divisor of 66593957 and 398?
199
Calculate the highest common factor of 9477 and 612534.
39
Calculate the greatest common factor of 30864312 and 144.
72
What is the highest common divisor of 7 and 68693632?
7
What is the greatest common factor of 43596 and 10059?
21
Calculate the highest common factor of 56 and 9366232.
8
What is the greatest common divisor of 353 and 38929546?
353
Calculate the highest common factor of 607299 and 2667.
21
What is the highest common divisor of 4896 and 2306784?
96
Calculate the greatest common factor of 1287800 and 564.
188
Calculate the highest common factor of 664 and 18456.
8
Calculate the greatest common factor of 93666 and 137886.
402
Calculate the highest common factor of 31040 and 10427015.
485
What is the greatest common divisor of 108842054 and 310?
62
What is the greatest common divisor of 59389 and 1628?
11
What is the highest common divisor of 5472973 and 209?
11
What is the highest common divisor of 60928 and 955094?
238
What is the highest common factor of 86148534 and 24?
6
Calculate the greatest common factor of 32064 and 958464.
192
What is the greatest common divisor of 43266548 and 8?
4
Calculate the greatest common divisor of 11197095 and 18299.
631
What is the highest common divisor of 57 and 447347609?
19
What is the greatest common factor of 8850 and 564276?
354
Calculate the highest common factor of 21164 and 5019124.
1628
What is the greatest common factor of 454410 and 42415?
85
Calculate the greatest common divisor of 14500 and 485402.
58
What is the highest common factor of 158373553 and 13?
13
Calculate the highest common divisor of 12692691 and 1980.
99
Calculate the greatest common divisor of 5665292 and 46996.
1516
What is the highest common divisor of 3348 and 7490592?
1116
What is the highest common factor of 70 and 2259082?
14
Calculate the greatest common factor of 340522 and 3094.
182
Calculate the greatest common divisor of 1386641 and 188.
47
Calculate the highest common divisor of 128307 and 66975.
57
Calculate the highest common factor of 188039 and 6751.
43
What is the greatest common divisor of 5233659 and 430?
43
What is the greatest common factor of 20608 and 84224?
896
What is the highest common factor of 1624 and 14922472?
232
What is the greatest common factor of 12282 and 1761846?
138
What is the greatest common factor of 110842667 and 13?
13
What is the highest common divisor of 713 and 905855?
23
What is the highest common factor of 19542269 and 151?
151
Calculate the greatest common divisor of 11190797 and 180045.
4001
Calculate the greatest common factor of 699 and 61047.
3
What is the greatest common divisor of 72085 and 6175?
65
What is the greatest common divisor of 24 and 448624332?
12
What is the greatest common divisor of 15073924 and 3128?
92
What is the highest common factor of 71343 and 17325?
9
Calculate the greatest common divisor of 3000670 and 50.
10
Calculate the greatest common factor of 259300 and 585600.
100
What is the highest common factor of 72712991 and 26?
13
Calculate the greatest common factor of 8013752 and 1940.
388
What is the highest common divisor of 133896 and 154728?
168
What is the greatest common divisor of 22440 and 22223080?
7480
Calculate the highest common factor of 128322031 and 703.
37
Calculate the highest common divisor of 6876 and 1515012.
2292
What is the highest common divisor of 374459499 and 37?
37
What is the highest common divisor of 589118 and 7922?
34
What is the greatest common factor of 102920481 and 2623?
61
What is the highest common factor of 492701670 and 117315?
10665
Calculate the highest common factor of 1527228 and 5056.
316
Calculate the highest common divisor of 1682 and 344056.
58
What is the highest common divisor of 36360 and 89829?
9
What is the greatest common divisor of 12587991 and 6?
3
Calculate the highest common factor of 136 and 264564268.
68
What is the greatest common divisor of 1557 and 917073?
1557
What is the greatest common factor of 713200 and 1773600?
400
Calculate the highest common divisor of 21 and 8569644.
3
What is the greatest common factor of 129379940 and 220?
20
Calculate the greatest common factor of 120660684 and 24.
12
What is the greatest common divisor of 18 and 12743559?
9
Calculate the highest common divisor of 4573300 and 1748.
76
Calculate the greatest common divisor of 634889825 and 4150.
2075
What is the greatest common factor of 80556 and 64092?
588
What is the highest common divisor of 1750 and 88500125?
875
What is the greatest common factor of 103190 and 6592627?
607
What is the highest common divisor of 2376318 and 3654?
1218
What is the greatest common factor of 34 and 443242?
2
Calculate the highest common divisor of 13918200 and 15.
15
What is the greatest common factor of 3193 and 2636767?
31
Calculate the greatest common divisor of 50592 and 2494291.
527
What is the highest common divisor of 623224468 and 46?
46
Calculate the highest common factor of 106856 and 2793418.
722
What is the greatest common factor of 547 and 2801544191?
547
What is the highest common divisor of 231374666 and 38?
38
Calculate the greatest common factor of 3958162 and 5382.
598
Calculate the greatest common divisor of 37285001 and 3289.
299
What is the greatest common factor of 576 and 3838248?
72
What is the highest common divisor of 24192205 and 23?
23
What is the greatest common factor of 2910052 and 722108?
4324
Calculate the highest common divisor of 6 and 74642224.
2
Calculate the greatest common factor of 13413 and 267915733.
4471
What is the highest common divisor of 15235276 and 2744?
196
Calculate the greatest common factor of 81412842 and 2286.
762
What is the greatest common factor of 368 and 69055232?
16
Calculate the greatest common divisor of 6160504 and 124936.
1288
Calculate the greatest common factor of 2854830 and 872070.
1230
What is the highest common factor of 142378 and 1285?
257
What is the greatest common factor of 11501 and 2586241?
371
Calculate the greatest common divisor of 11999 and 34788819.
169
What is the greatest common divisor of 5541786 and 6519?
159
What is the greatest common divisor of 79223505 and 1740?
435
What is the highest common divisor of 84 and 62780628?
12
Calculate the highest common factor of 49495316 and 6260.
1252
Calculate the greatest common divisor of 142065 and 276870.
165
Calculate the highest common factor of 39 and 107016910.
13
What is the highest common divisor of 123 and 47897799?
123
Calculate the greatest common factor of 1098 and 253480437.
549
Calculate the greatest common factor of 4437 and 38607.
51
Calculate the greatest common factor of 8288 and 4601024.
1184
What is the highest common factor of 27901335 and 19380?
255
Calculate the highest common divisor of 1790 and 91924555.
895
Calculate the greatest common divisor of 318812755 and 2385.
265
Calculate the greatest common divisor of 227262 and 7644.
294
What is the greatest common factor of 1446212 and 54
|
{
"pile_set_name": "DM Mathematics"
}
|
61. Let p(j) = j + 12. Let m(l) = 11*p(l) + 2*r(l). Let v(b) = b - 10. What is the least common multiple of m(11) and v(16)?
42
Suppose 0 = -4*z + b + 67, -2*b = 3*z - 2*z - 10. Suppose z*q - 90 = 6. What is the least common multiple of q and 11?
66
Let a be (-6 - -4 - -1) + (-5 - -59). What is the common denominator of 19/231 and a/(-265) - (-127)/105?
1155
Suppose -4*i + j = -23730, 2*i - 2*j - 8474 - 3394 = 0. Let l = i - 53462/9. Let r = -7300 + 73113/10. What is the common denominator of l and r?
90
Let q = -301/10 - -137/20. What is the common denominator of q and (-778)/(-92) + -13 + 3?
92
Let n be ((-310)/124)/((-2)/44). Suppose -5*r - 3*t = -23, -5*r + 2*t = -3*t - n. What is the least common multiple of r and 21?
21
Let t = 332079833/1798 + -184694. Calculate the common denominator of -53/11 and t.
19778
What is the smallest common multiple of ((48/(-5))/(51/(-170)))/((-2)/(-21)) and 1050?
8400
Let z = 5942 + -5815. Calculate the smallest common multiple of z and 10.
1270
Suppose 8*b - 13*b = 3*v - 19, 3*v = -4*b + 17. Suppose 268 = 2*m + 2*u, -5*u + 4*u = -v*m + 386. Calculate the lowest common multiple of m and 6.
390
Let j(c) = -2*c**2 - 18*c + 13. Let z be j(-9). Let b(d) = -2*d**3 + 28*d**2 - 24*d - 6. What is the least common multiple of b(z) and 8?
40
Let x = 134 - 134. What is the smallest common multiple of x + 53 - (49 + -44) and 33?
528
Find the common denominator of 2 + (-266)/44 - -1 and 22 + (-60)/(-1386)*14724/(-30).
154
Let k(r) = 17599*r**2 + 3*r + 4. Let n be k(-1). Let g = n + -2886409/164. What is the common denominator of g and 45/32?
1312
Let p = 7673/60 + -1303/10. Calculate the common denominator of p and 19/3866.
23196
Suppose 78 = 7*m - 90. Suppose 0*f - 7 = -f. Suppose 11*x = f*x + 16. Calculate the least common multiple of x and m.
24
Suppose 0 = -5*j - 10, r + 3*j + 9 = 2*r. Suppose -4*l - 289*m = -286*m - 44, -l + 2 = 3*m. Calculate the lowest common multiple of l and r.
42
Let t = -1 + 4. Suppose 3*b = -4*q - 45, -1 = -b - 4. What is the smallest common multiple of (-9)/(((-1)/(-4))/(q/54)) and t?
6
Let u(n) be the first derivative of -19*n**2/2 - 299*n - 312. What is the lowest common multiple of 50 and u(-21)?
100
Let q(d) = 141*d + 336. Let x be q(18). Let l = x + -114927/40. Find the common denominator of l and -44/25.
200
Let q be 1/(4 + -3 - 2). Let s be 3/(-2) - (q + 242 + -1). Let f = -231 - s. Find the common denominator of f and 127/60.
60
Let z(x) = -2*x**2 - 23*x - 32. Let w be z(-12). Find the common denominator of 53/3 and w/(-20)*(-8)/18.
45
Suppose 44*q = 67285 - 22933. Calculate the smallest common multiple of q and 40.
5040
Suppose 5*p - 3*n - 192 = 0, -9*p + 5*p + 148 = -n. Calculate the smallest common multiple of (p/(-108))/(2/(-90)) + -3 and 18.
36
Suppose -l + 4*l = -129. Let r = 2 - l. What is the least common multiple of 30 and r?
90
What is the common denominator of 3995/850 + (0 - 0) + -6 and -29/105?
210
Suppose 5*v + 387 = -3*l, 0 = -4*v - 3*l - 243 - 66. Let q = 70 + v. Calculate the common denominator of q/(-14) - (-975)/(-126) and 149/6.
6
Let k(x) be the first derivative of x**2/2 + 14*x - 1. Let i = 797 - 810. What is the smallest common multiple of k(i) and 6?
6
Suppose 0*x - x = -10. Suppose 3*r - 6*r = -108. Suppose -s + 28 = 2*b, -b = -s + b + r. What is the lowest common multiple of s and x?
160
Let m = -1950 + 714. Calculate the common denominator of 10119/m - (2 - 10) and -103/10.
2060
Let o be -3*((-60)/5 + (-1 - 2)). Suppose -2*z - t = -o - 32, -112 = -3*z + 2*t. Find the common denominator of z/120 - 9/36 and -53/21.
105
Let i be ((-7116)/18)/(1475/(-1485) + 1). Let w = -24187229/412 - i. Calculate the common denominator of -95/18 and w.
3708
Suppose 63*d = 82*d - 114. Calculate the lowest common multiple of 22 and 264/(-2 + 8)*d/12.
22
Let a = -6997/1220 - -87/305. Let w = 7703/1298 - 742/177. Let m = w + -87/11. Find the common denominator of m and a.
60
What is the common denominator of 4515/(-5304) - (-462)/1001 and 71/14?
952
Suppose 2*u = -5*m + 9, -4*m + 2*u + 18 = -0*u. Let j be ((-2)/m)/((-8)/60). Suppose 0 = -j*a - 6*a + 22. Calculate the lowest common multiple of a and 2.
2
Let z = 1096 - 1736. Calculate the smallest common multiple of 49 and ((-14)/(-8))/((-32)/z).
245
Let p = 379498720135703276689/85601543339998657290 + -4/48511276594297. Let l = 1/58819 + p. Calculate the common denominator of l and 123/40.
120
Let w = -89/4 + 253/12. Find the common denominator of w and -83/226.
678
Let t(p) = -p**3 + p**2 + 6*p + 5. Let n be t(-2). Suppose j - i - 177 = -2*i, -j + n*i = -183. What is the smallest common multiple of 7 and j?
1246
Find the common denominator of 296/(-13664)*38 - (-4 - (-189)/49) and ((-7)/(-16))/(2/(-36)).
488
Let x(o) = -2*o + 4 + 8*o + 18 + 18. Let j be x(-20). Let h = -68 - j. What is the lowest common multiple of h and 10?
60
Let w = 8623/1470 - -33/490. Let t = 4393/20 + -221. What is the common denominator of w and t?
60
Suppose -2*r = 3*u - 588, -r - 13*u = -6*u - 316. Calculate the least common multiple of 84 and r.
2016
Let h = -73777625/71724 - -44234/43. Calculate the common denominator of h and -63/1390.
8340
Suppose 2*v - 4525 = -5*j, 5*v = -2*j + 206 + 11117. What is the least common multiple of 10 and v?
4530
Suppose -4*q - 5 = 19. Let n(t) = 2*t**2 - 6*t - 11. Let r be n(q). Suppose 0 = 5*c - 177 + r. What is the smallest common multiple of 18 and c?
144
Let w(x) be the second derivative of x**4/6 - 10*x**3/3 - 7*x**2 - 60*x. What is the smallest common multiple of 32 and w(11)?
32
Suppose 0 = -3*c + 4*o + 320, 5*c - 19*o = -20*o + 495. What is the least common multiple of ((-416)/(-91))/(48/21 - 2) and c?
400
Suppose -3*v + 14 = -16. Let d = 281 + -278. Suppose -2*c + v = 0, -2*o - d*o = c - 90. Calculate the least common multiple of o and 1.
17
Calculate the common denominator of (-105)/28 + 3/(-5) and (-1777)/330 - (-2)/(-110)*10.
60
Let v(w) be the third derivative of w**6/120 + 2*w**5/15 + w**4/3 + w**3 - 50*w**2. What is the lowest common multiple of v(-6) and 60?
60
Let g(l) = -l**3 + 19*l**2 - 2*l - 192. Calculate the smallest common multiple of 112 and g(18).
672
Suppose -272 = -11*d - 6*d. Suppose i + 5*k - 3 = -2, 3*i - 57 = 3*k. What is the lowest common multiple of d and i?
16
What is the common denominator of -107/1408 and (-9 + -5 + 17)/((-8)/(-9))?
1408
Let q(a) = 2*a**2 + 6*a + 5. Let p be q(-5). Suppose -30*z + 80 = -p*z. What is the least common multiple of 44 and z?
176
Let r(k) be the first derivative of 2*k**2 - 141*k + 60. What is the smallest common multiple of r(39) and 5?
15
Suppose -470*x + 840 = -462*x. Suppose -102*d - x = -123*d. What is the least common multiple of d and 284?
1420
Let j(h) = -15482*h - 26. Let s be j(2). Let c = s - -5082381/164. Find the common denominator of -55/6 and c.
492
Suppose -3*a = 2*a + 15, 5*a + 25 = 5*b. Suppose -2*x - 2*z - 1 = -37, 5*x = 4*z + 126. What is the lowest common multiple of b and x?
22
Let a(z) = z**3 - 6*z**2 + 9*z - 12. Let l be a(6). Let u(o) = -o - 33. Let n be u(-15). Calculate the common denominator of ((-30)/n + -3)/(5/l) and 13/5.
5
Suppose -3 = -2*g + 49. Let m = g + -35. Let u(z) = -2*z**2 - 18*z + 3. What is the least common multiple of 1 and u(m)?
3
Let o = 11848 + -6611201/558. Calculate the common denominator of -121/372 and o.
1116
Let g = 400265/252 - 6357/4. Find the common denominator of g and 47/504.
504
Suppose j + 2*i - 716 + 441 = 0, 551 = 2*j + 5*i. Calculate the least common multiple of 462 and j.
6006
Let i = 47 - 26. Let k = 2068 + -2038. Calculate the smallest common multiple of i and k.
210
Let u = 146410 + -142017723/970. Calculate the common denominator of 83/1455 and u.
2910
Let g = -37 - -53. What is the least common multiple of 72 and ((276/g)/23)/((-2)/(-80))?
360
Suppose 13*l = 19*l + 56376. Let y = -5864 - l. Let k = y - 53014/15. Find the common denominator of -40/9 and k.
45
Let j be (13505714/(-498))/(16/16). Let g = j + 27120. What is the common denominator of g and -29/9?
747
Suppose 39*w - 7274 - 6766 = 0. Suppose w = -14*r + 20*r. Calculate the least common multiple of r and 18.
180
Let x = 17287/10 + -1735. Calculate the common denominator of x and 7/400.
400
Calculate the common denominator
|
{
"pile_set_name": "DM Mathematics"
}
|
7904*z - 23575824 = 0.
-2946978, 2
Determine u so that -2*u**2 - 1135505352*u - 161171550552580488 = 0.
-283876338
Factor -q**4/4 + 23859*q**3/4 - 29408100*q**2 - 76564447952*q.
-q*(q - 12856)**2*(q + 1853)/4
Factor -3*q**4 - 4922517*q**3 - 2692369032111*q**2 - 490875413975343831*q - 4908484907772714210.
-3*(q + 10)*(q + 546943)**3
Factor -5*k**4/6 + 847585*k**3/6 - 48279855*k**2/2 + 2751334425*k/2 - 26134744815.
-5*(k - 169346)*(k - 57)**3/6
Let -52*x**4 + 25004*x**3 + 916188*x**2 - 796940*x - 144200 = 0. What is x?
-35, -2/13, 1, 515
Factor -f**3 + 136594*f**2 + 2458935*f + 11065572.
-(f - 136612)*(f + 9)**2
Factor 5*y**3 - 1993425*y**2 - 7973760*y - 7973780.
5*(y - 398689)*(y + 2)**2
Factor -104729450559627*f**2 + 70901436*f - 12.
-3*(5908453*f - 2)**2
Factor -41512249*y**3/9 + 509486668*y**2/9 - 136850560*y/9 + 3097600/3.
-(y - 12)*(6443*y - 880)**2/9
Factor 3*q**4 - 7096035*q**3 + 5594866430373*q**2 - 1470433470377556993*q + 5881644364101487476.
3*(q - 788447)**3*(q - 4)
Determine j, given that 128*j**4 + 8964*j**3 + 49816*j**2 - 1263348*j - 39528 = 0.
-61, -18, -1/32, 9
What is a in a**3/8 - 21*a**2/4 - 24615*a/8 - 54351/2 = 0?
-132, -9, 183
Factor 2*i**2 + 237502*i - 237504.
2*(i - 1)*(i + 118752)
Let -45*y**4 + 5601660*y**3 - 248254415*y**2 + 323537060*y - 107015820 = 0. Calculate y.
2/3, 43, 124437
Suppose -2*p**4/17 - 150610*p**3/17 - 753008*p**2/17 - 602400*p/17 = 0. What is p?
-75300, -4, -1, 0
Factor v**3/2 + 84441*v**2 + 16372145*v/2.
v*(v + 97)*(v + 168785)/2
Find b such that -5*b**5 + 23650*b**4 - 23600*b**3 - 212850*b**2 + 212805*b = 0.
-3, 0, 1, 3, 4729
Find a such that 180*a**2 + 2717992*a - 120800 = 0.
-15100, 2/45
Find y, given that -5*y**2 + 32080620*y + 192483900 = 0.
-6, 6416130
Determine i so that 2*i**2/5 + 2964624*i/5 - 80046306/5 = 0.
-1482339, 27
Suppose -19617609*s**5 + 430957956*s**4 + 3996215619*s**3 + 127924806*s**2 + 1367124*s + 4872 = 0. Calculate s.
-7, -2/187, 29
What is t in 2*t**2/11 + 1490*t/11 - 174688/11 = 0?
-848, 103
Let 5*l**5 + 715*l**4 - 172760*l**3 + 7636940*l**2 - 47055360*l - 321647040 = 0. What is l?
-284, -4, 13, 66
Determine u so that -u**5/5 - 938*u**4/5 - 51872*u**3 - 17555162*u**2/5 + 259361*u/5 + 3511220 = 0.
-419, -100, -1, 1
Factor 27*z**3 + 11555955*z**2 - 123265824*z + 328710912.
3*(z + 428009)*(3*z - 16)**2
Factor 5*m**2/6 - 193460035*m/6 - 193460045/3.
5*(m - 38692009)*(m + 2)/6
Let d**5/6 + 20*d**4/3 - 3861*d**3/2 - 47303*d**2/3 - 29834*d/3 + 27636 = 0. What is d?
-126, -7, -2, 1, 94
Determine u so that 2*u**2 + 4938104*u + 3048108889352 = 0.
-1234526
Factor 25*j**4 - 3897215*j**3 - 1558890*j**2.
5*j**2*(j - 155889)*(5*j + 2)
Suppose b**2 + 421406*b + 6320865 = 0. Calculate b.
-421391, -15
Let -2*l**4/3 + 786692*l**3/3 - 5506766*l**2/3 + 2622260*l = 0. What is l?
0, 2, 5, 393339
Let 5*m**5 - 26790*m**4 + 80295*m**3 + 160790*m**2 - 749820*m + 642600 = 0. What is m?
-3, 2, 5355
Determine h so that -2*h**2 - 21475360*h - 57648885891200 = 0.
-5368840
Determine z, given that -2*z**2 + 437156*z - 1311450 = 0.
3, 218575
Find s, given that -s**4/7 + 38*s**3/7 + 835*s**2 - 75074*s/7 - 516120/7 = 0.
-66, -5, 17, 92
What is i in 28*i**3/11 + 81006*i**2/11 + 3122816*i/11 + 1541160/11 = 0?
-2854, -270/7, -1/2
Suppose 8*b**4/9 - 17350*b**3/9 + 4312*b**2/3 + 17350*b - 13008 = 0. What is b?
-3, 3/4, 3, 2168
Factor -5*x**3 + 2985*x**2 + 82145*x - 719565.
-5*(x - 623)*(x - 7)*(x + 33)
Suppose 2*t**4/13 - 880*t**3/13 + 41932*t**2/13 - 354320*t/13 + 832050/13 = 0. Calculate t.
5, 43, 387
Let -44*g**2 - 269995124*g + 49090024 = 0. What is g?
-6136253, 2/11
Find u, given that -3*u**3 + 136680*u**2 + 1367025*u + 3417750 = 0.
-5, 45570
Factor 21*a**2 + 1950*a - 509751.
3*(a + 209)*(7*a - 813)
Factor -2*h**3/3 + 2546*h**2/3 - 243634*h + 20249682.
-2*(h - 907)*(h - 183)**2/3
Factor -3*h**3 - 1702713*h**2 + 3405438*h.
-3*h*(h - 2)*(h + 567573)
Suppose -3*t**3 + 1023*t**2 - 42468*t + 80868 = 0. Calculate t.
2, 46, 293
Factor -2*b**2/7 - 21556*b/7 + 5923344.
-2*(b - 1666)*(b + 12444)/7
Find n, given that -5*n**5 + 15535*n**4 + 171615*n**3 - 389815*n**2 + 202670*n = 0.
-13, 0, 1, 3118
Solve 4*p**3 - 58887948*p**2 + 216736871784192*p + 216736930672144 = 0.
-1, 7360994
Determine v, given that 2*v**2/11 - 7954*v/11 - 2694748/11 = 0.
-314, 4291
Solve -68*c**3/5 + 2134*c**2 - 31126*c/5 - 41864/5 = 0.
-1, 4, 5233/34
Solve 2*c**5/9 - 116*c**4/9 - 752*c**3/9 + 30716*c**2/9 + 250*c/3 - 3400 = 0 for c.
-17, -1, 1, 15, 60
Factor -4*f**2/5 - 9136*f - 2545536/5.
-4*(f + 56)*(f + 11364)/5
Solve 2*u**2/13 - 502*u/13 - 2030940 = 0 for u.
-3510, 3761
Factor -11027*i**3/7 - 22044*i**2/7 + 20*i/7.
-i*(i + 2)*(11027*i - 10)/7
Solve -81*x**5/4 - 1853967*x**4 - 169730266689*x**3/4 + 176028266505*x**2/2 - 48723150519*x + 3143437926 = 0 for x.
-45778, 2/27, 1
Find p, given that -p**4 - 857*p**3 - 24243*p**2 + 466753*p - 1783012 = 0.
-827, -44, 7
Factor 2*i**2/15 - 3581884*i/5 + 4811209871046/5.
2*(i - 2686413)**2/15
Solve -5*b**5 + 5340*b**4 - 1129060*b**3 - 161423360*b**2 - 2673972480*b + 6002585600 = 0 for b.
-80, -22, 2, 584
Solve -5*i**3 - 56435*i**2 - 17459000*i - 1369400220 = 0 for i.
-10971, -158
Determine w, given that 111*w**3 - 2766894*w**2 - 8376471*w - 224370 = 0.
-3, -1/37, 24930
Find h, given that -2*h**2/11 - 593166*h/11 - 1779480/11 = 0.
-296580, -3
Suppose 5*y**3 - 4350*y**2 - 35540*y + 368760 = 0. What is y?
-14, 6, 878
Factor 3*y**3 + 10623084*y**2 - 21246177*y + 10623090.
3*(y - 1)**2*(y + 3541030)
Factor 4*u**3 + 336640304*u**2 - 673280620*u + 336640312.
4*(u - 1)**2*(u + 84160078)
Factor -1372*b**4 + 16503690*b**3 + 17683575*b**2 + 12631375*b/2 + 751875.
-(b - 12030)*(14*b + 5)**3/2
Solve a**5 + 4344*a**4 + 5038001*a**3 + 683350830*a**2 - 718673364*a - 4130515512 = 0.
-2094, -157, -2, 3
What is q in -q**4 - 70006*q**3 - 1225210008*q**2 + 70006*q + 1225210009 = 0?
-35003, -1, 1
Determine s, given that 2*s**5/7 - 724062*s**4/7 - 10137116*s**3/7 - 52134156*s**2/7 - 117302310*s/7 - 97752150/7 = 0.
-5, -3, 362045
Find x such that 2*x**4 + 829064*x**3 - 70484890*x**2 = 0.
-414617, 0, 85
Determine k so that -k**2 + 10616792*k - 42467152 = 0.
4, 10616788
Find f, given that f**4/6 + 1387*f**3/3 + 207740*f**2 = 0.
-2210, -564, 0
Solve 5*s**4 - 390420*s**3 + 7724918070*s**2 - 4041988978500*s + 535915280278125 = 0 for s.
267, 38775
Factor 2*n**4 - 1677540*n**3 + 351794396066*n**2 - 11256132356160*n + 90045623378432.
2*(n - 419369)**2*(n - 16)**2
Factor 2*n**3 - 13656*n**2 + 12241152*n + 41555666944.
2*(n - 4048)**2*(n + 1268)
Factor -5*w**3 + 21652530*w**2 - 86610060*w + 86610040.
-5*(w - 4330502)*(w - 2)**2
Factor 68796450*s**2/13 + 258060*s/13 + 242/13.
2*(5865*s + 11)**2/13
What is o in 3*o**4 - 51423*o**3 - 1081218*o**2 + 205692*o + 4324824 = 0?
-21, -2, 2, 17162
Factor -p**2 - 1345747*p - 1345746.
-(p + 1)*(p + 1345746)
Find y such that y**2/6 + 59820*y + 358918/3 = 0.
-358918, -2
What is i in -35*i**3 - 478150*i**2 - 3072715*i - 4642700 = 0?
-13655, -4, -17/7
Factor -5*y**2 + 471000*y + 471005.
-5*(y - 94201)*(y + 1)
Factor 2*q**3 + 1200*q**2 + 154216*q - 3994848.
2*(q - 22)*(q + 234)*(q + 388)
Let -95*g**2 + 52955*g - 105530 = 0. What is g?
2, 10553/19
Factor 4*i**3 - 29676*i**2 - 3037680*i - 3008000.
4*(i - 7520)*(i + 1)*(i + 100)
Solve 1173*h**5 - 165*h**4 - 12903*h**3 + 22929*h**2 - 12354*h + 1320 = 0.
-4, 55/391, 1, 2
What is f in -857*f**4/3 - 10702220*f**3/3 - 11144587484*f**2 - 133719719392*f/3 - 623401024/3 = 0?
-6242, -4, -4/857
Suppose -2*p**2/11 - 1440154*p/11 - 2880300/11 = 0. What is p?
-720075, -2
Factor -p**3 + 619102*p**2 + p - 619102.
-(p - 619102)*(p - 1)*(p + 1)
What is k in -138*k**4 - 23732*k**3 - 1352402*k**2 - 25545152*k + 741576 = 0?
-66, -53, 2/69
Solve 2*b**4/5 - 144*b**3 + 13924*b**2/5 + 106176*b/5 + 18306 = 0.
-5, -1, 27, 339
Factor x**2 - 25132930*x + 157916042596225.
(x - 12566465)**2
Let x**2/6 + 1538*x + 293248/3 = 0. Calculate x.
-9164, -64
Solve -5*m**2 + 21481330*m + 21481335 = 0 for m.
-1, 4296267
Find c such that 5*c**2 + 1054240*c - 5271325 = 0.
-210853, 5
Suppose 443*z**4/6 - 1550*z**3 - 462745*z**2/3 + 154670*z + 2109/2 = 0. Calculate z.
-37, -3/443, 1, 57
Let -2*i**3 + 12703682*i**2 - 25407358*i + 12703678 = 0. What is i?
1, 6351839
Let -2*g**4/9 - 2105686*g**3/9 - 554240
|
{
"pile_set_name": "DM Mathematics"
}
|
) + 5*l(d).
d**3 - 2
Let q(p) = -2*p**3 - 5*p**2. Let u(v) = 7*v**3 + 21*v**2. What is -21*q(y) - 5*u(y)?
7*y**3
Let v(b) = 6*b**2 - 8*b. Let s(o) = -2*o**2 + 3*o. Determine -8*s(p) - 3*v(p).
-2*p**2
Suppose 0 = 5*l - 1 - 9. Let q(s) = 0*s**2 + 4 - l*s + 1 - 4*s**2. Let v(x) = -6*x**2 - 3*x + 8. What is -8*q(d) + 5*v(d)?
2*d**2 + d
Let f(i) = -25*i + 1. Let s(m) = -5*m. Let h(v) = -2*f(v) + 11*s(v). Let a(r) = 6*r + 3. Determine -4*a(j) - 5*h(j).
j - 2
Let m(s) = -3*s**3 + 11*s**2 - 3*s - 8. Let y(t) = -t**3 + 4*t**2 - t - 3. What is -3*m(p) + 8*y(p)?
p**3 - p**2 + p
Let y(a) = 7*a**2 + 6*a. Let n(u) = -2*u + 2. Let x be n(-3). Let v(s) = 2*s - 10. Let c be v(x). Let m(f) = f**2 + f. Determine c*m(b) - y(b).
-b**2
Let n(b) = -546*b - 105. Let p(s) = -21*s - 4. What is 4*n(q) - 105*p(q)?
21*q
Let y(l) = 5*l + 11. Let s = 27 + -19. Let n(i) = -6 + s - 2*i + 3*i. Let h be (33*1)/((-9)/6). Give h*n(j) + 4*y(j).
-2*j
Let f(l) = -4*l + 9. Let j(n) = 3*n - 8. What is -5*f(x) - 6*j(x)?
2*x + 3
Let z(n) = 3*n**3 + n. Let y be z(2). Let g(c) = -29*c + 13. Let i(j) = 7*j - 3. Let w(l) = y*i(l) + 6*g(l). Let v(m) = 3*m. What is -11*v(x) + 4*w(x)?
-x
Let g(l) = 0*l - 10 - 15 + 65*l. Let c(z) = -8*z + 3. Calculate 25*c(y) + 3*g(y).
-5*y
Let l(k) = 13*k - 2. Let p(w) = -w. Determine -l(r) - p(r).
-12*r + 2
Let p(z) = -2*z. Let f be (6/(-9) - -1)*6. Let d(x) = 1. Let b(s) = 2. Let i(h) = -b(h) + 3*d(h). Calculate f*i(w) + p(w).
-2*w + 2
Let x(r) = 13*r**3 - 48*r**2 + r + 3. Let d(p) = -9*p**3 + 32*p**2 - p - 2. Determine 7*d(l) + 5*x(l).
2*l**3 - 16*l**2 - 2*l + 1
Let q(x) = 1. Let z(v) = v + 7. What is 4*q(h) - z(h)?
-h - 3
Let f(q) = 7*q**2 + 15*q - 11. Let h(v) = 2*v**2 + 4*v - 3. Let w = -2 - -24. Give w*h(b) - 6*f(b).
2*b**2 - 2*b
Suppose -n - p = 5, 0*n - 4 = 2*n + 5*p. Let v(d) = -9*d**3 + d**2 + 9. Let m(c) = -13*c**3 + c**2 + 13. Calculate n*v(h) + 5*m(h).
-2*h**3 - 2*h**2 + 2
Let g(v) be the third derivative of v**6/120 - v**4/24 + v**2. Let i(f) = -4*f**3 + 3*f + 2. Let r be (-1)/((-2)/10) - 4. Calculate r*i(y) + 3*g(y).
-y**3 + 2
Let t(q) = 2*q**3 - 3*q**2 - 4*q + 1. Let u(i) = i**3 + i**2 + i - 1. Give -t(g) - 3*u(g).
-5*g**3 + g + 2
Suppose -5*m = -2*m - 105. Let b = m - 24. Let f(x) = -5*x. Let j(t) = -26*t. What is b*f(z) - 2*j(z)?
-3*z
Let v(u) = u. Let z(i) = -4*i - 1. Suppose b + 3*l - 30 = 0, 0 = -5*b + 5*l + 104 + 6. Suppose -y + 5*y = b. Give y*v(t) + 2*z(t).
-2*t - 2
Let d(z) = 8*z**3 + 6*z**2 - 6*z. Let b(r) = -2*r + r**3 + 2*r - r + r**2 + 0*r. Let g = 15 + -21. Give g*b(w) + d(w).
2*w**3
Let a(y) = -y - 1. Let x(l) = 5*l - 18. Give -6*a(m) - x(m).
m + 24
Let i(u) = -3*u + 1. Let w(a) = -10*a + 3. Suppose 2*d = 2*c - 6, -d - 2*c = d + 22. What is d*i(f) + 2*w(f)?
f - 1
Let v be (-3)/((-15)/(-2))*5. Let d(u) = -12*u + 33*u + 6*u**2 + 2 - 3*u**2 - 17*u. Let n(a) = -10*a**2 - 13*a - 7. Give v*n(y) - 7*d(y).
-y**2 - 2*y
Let d(w) = -5*w**2 - 36*w - 5. Let j(o) = -4*o**2 - 36*o - 4. Calculate 2*d(k) - 3*j(k).
2*k**2 + 36*k + 2
Let w(u) be the third derivative of -u**4/12 - u**3/2 + 27*u**2. Let p(x) = -2*x - 2. Let v(i) = -2*i**3 - i**2. Let f be v(1). Calculate f*p(h) + 2*w(h).
2*h
Let c(n) = -3*n + 3. Let l(t) = -4*t + 4. Suppose -9 = 4*k + k - j, 2*k + 2*j + 6 = 0. What is k*l(u) + 3*c(u)?
-u + 1
Let g(j) = 8*j**2 - 5. Let f(w) = 15*w**2 + w - 9. What is -3*f(o) + 5*g(o)?
-5*o**2 - 3*o + 2
Let g(i) = -5*i**3 + 11*i**2 - 4*i - 2. Let p(x) = 11*x**3 - 22*x**2 + 9*x + 4. What is 9*g(d) + 4*p(d)?
-d**3 + 11*d**2 - 2
Let x(s) = -s**3 + 2*s**2 - 3. Let h(p) = p**2 - 1. Suppose -2*i - 2*n = -14, -i + 5*n = 7*n - 12. Let d be (-4)/(-2)*1/(-2). Give d*x(r) + i*h(r).
r**3 + 1
Let a(o) = -o - 1. Suppose -5*i - 33 = -8*i. Suppose i*n = 14*n - 3. Let t(c) = c**2 + c + 1. Give n*a(v) - t(v).
-v**2 - 2*v - 2
Let d be 13/4 + (-4)/16. Let i be 0 + -8 + -1 + 1. Let x = 12 + i. Let g(a) = 6*a**2 + 4*a - 3. Let n(j) = -5*j**2 - 3*j + 2. Calculate d*g(u) + x*n(u).
-2*u**2 - 1
Suppose 0 = -a - 4*y - 8 - 1, -2*a = 5*y + 9. Let l(t) = 0 + 4 - a*t**3 + 4*t + 3*t**2 + 5*t**3. Let j(w) = -6*w**3 - 8*w**2 - 11*w - 11. Give 3*j(u) + 8*l(u).
-2*u**3 - u - 1
Let v(p) = -5*p**2 - 5*p + 1. Let k(w) = -11*w**2 - 11*w + 2. Let u = -16 + 7. What is u*v(r) + 4*k(r)?
r**2 + r - 1
Let r(a) = 4*a**2 - 2. Suppose 0 = -x - 4*f - 15, 5*x - 4*x - 2*f + 3 = 0. Let b(y) = -6*y**2 + 3. Determine x*r(s) - 5*b(s).
2*s**2 - 1
Let q(g) = -g**2 + 4*g + 9. Let s be (-40)/75*-12 + (-4)/10. Let x(m) = m**2 - 5*m - 10. Determine s*x(z) + 7*q(z).
-z**2 - 2*z + 3
Let m(s) = s + 1. Let v(o) = 12*o**2 + o + 2. Give -2*m(a) + 2*v(a).
24*a**2 + 2
Let l(a) = 5*a - 4. Let j(w) = -4*w + 3. Suppose -7*c = -5*n - 3*c - 26, 3*c = -3. Determine n*j(f) - 5*l(f).
-f + 2
Let d(l) = 6*l**2 - 11*l + 5. Let m(q) be the first derivative of -2*q**3/3 + 2*q**2 - 2*q + 29. Calculate -3*d(y) - 8*m(y).
-2*y**2 + y + 1
Let p(f) = -5*f**2 - f - 11. Let c(i) = -i**2. Calculate -4*c(q) + p(q).
-q**2 - q - 11
Let r(m) be the first derivative of -23/3*m**3 - 17*m + 11 + 0*m**2. Let t(d) = -4*d**2 - 3. Let c(w) = -3*w - 3. Let b be c(-3). Give b*r(l) - 34*t(l).
-2*l**2
Let w(j) = -28*j - 15. Let h(y) = 14*y + 8. Determine -11*h(n) - 6*w(n).
14*n + 2
Let r(s) = 4*s - 24. Let q = -11 - -8. Let l(g) = g - 5. Suppose 0 = 4*o - 28 - 28. Calculate o*l(n) + q*r(n).
2*n + 2
Let f(c) be the first derivative of 5*c**4/4 + 2*c**3/3 + c**2 - 2*c + 3. Let q(u) = 6*u**3 + 3*u**2 + 3*u - 3. Calculate -3*f(v) + 2*q(v).
-3*v**3
Let z(v) = -10*v**2 - 10*v + 10. Let l(b) = -b**3 - b**2 - b + 1. Give 10*l(i) - z(i).
-10*i**3
Let i(r) be the second derivative of 2*r**4/3 + r. Let z(b) be the first derivative of b**3/3 - 6. Suppose 0*n - 2*n - 2 = 0. What is n*i(t) + 6*z(t)?
-2*t**2
Let m(q) = 1. Let y(f) = -8*f - 24. Calculate 24*m(d) + y(d).
-8*d
Let l(i) = 3*i**2 + 6*i - 1. Let s(y) = 10*y**2 + 35*y - 4. Let q(w) = -5*w**2 - 17*w + 2. Let k(f) = 13*q(f) + 6*s(f). Give 4*k(z) + 7*l(z).
z**2 - 2*z + 1
Let q(u) = -u**2 + 10*u - 3. Let x(i) = 3*i**2 - 20*i + 7. Give 7*q(r) + 3*x(r).
2*r**2 + 10*r
Let t(g) be the third derivative of g**4/12 - 5*g**2. Let s(f) = 4*f - 1. Determine 2*s(q) - 5*t(q).
-2*q - 2
Let z(t) = t - 4. Let i(b) = 5*b - 23. What is 6*i(f) - 34*z(f)?
-4*f - 2
Let c(d) = 7*d**3 - 5*d**2 + d. Let p = 52 + -47. Let n(h) = -3*h**3 + 2*h**2. Calculate p*n(f) + 2*c(f).
-f**3 + 2*f
Suppose -5*k + 15 + 9 = 4*t, -t + 6 = 4*k. Let p(h) = -7*h**3 - 6*h**2 + 6*h - 6. Let a(c) = -20*c**3 - 17*c**2 + 17*c - 17. Determine t*a(j) - 17*p(j).
-j**3
Let r be 68/18 + (-8)/(-36). Let w(m) = r + 8 + 1 + 6*m + 5*m - 2*m**2. Let y(l) = l**2 - 5*l - 6. Calculate 6*w(i) + 13*y(i).
i**2 + i
Let u(z) = -5*z**2 + 4*z + 4. Let q(s) = 4*s**2 - 3*s - 3. Let y = 3 - 6. Determine y*u(k) - 4*q(k).
-k**2
Suppose -2*o + 3*o + 8 = h, 0 = -3*h - 5*o - 16. Let q(w) = -4*w**3 + 3*w**2 + 4*w + 2. Let g(z) = 3*z**3 - 2*z**2 - 3*z - 1. Determine h*g(m) + 2*q(m).
m**3 - m + 1
Let c(m) = m. Let w(g) be the second derivative of 4*g**3 + 17*g**2/2 - 3*g. Let f(o) = 8*o + 6. Let k(j) = 11*f(j) - 4*w(j). Calculate 6*c(p) + k(p).
-2*p - 2
Let p(t) = 13*t - 2. Let w(k) = 4*k - 1. Let d(h) = -h**3 + 14*h**2 - 13*h - 2. Let x be d(13). Calculate x*p(g) + 7*w(g).
2*g - 3
Let a(b) = -4*b**3 + 7*b + 3. Let u(m) = -4*m**3 + 6*m + 3. What is -6*a(y) + 7*u(y)?
-4*y**3 + 3
Let x(f) = 26*f**3 - 10*f**2 - 10. Let j(l) = 5*l**3 - 2*l**2 - 2. Suppose -3*o - 95 = 2*o - 3*q, 4*o - 4*q + 84 = 0. Give o*j(d) + 3*x(d).
-2*d**3 + 2*d**2 + 2
Let o(v) = -v + 3. Let g(i) = 2*i - 6. Calculate -6*g(b) - 13*o(b).
b - 3
Let v(r) = 13*r - 1. Let b(p) = 27*p - 2. Give -3*b(o) + 7*v(o).
10*o - 1
Suppose 4*u + 32 = -j, 12*j = -5*u + 7*j - 40. Let k = 4 + -7. Let h(t) = -2*t. Let r(w) = w. Calculate k*h(v) + u*r(v).
-2*v
Let b(y) = -y**2 - y + 1. Suppose 5*g = 2*m - 5, -3*g - 12 = -3*m - 0*m. Let k(o) = -6*o**2 - 5*o + 5. Determine g*k(f) - 5*b(f).
-f**2
Let a(j) be the first derivative of -9*j**2/2 + 15*j + 12. Suppose 5*d - 17 = 3*v - v, -4 = v + 2*d. Let t(z) = 4*z - 7. Give v*a(k) - 13*t(k).
2*k + 1
Let f(b) = 11*b**2 + 4*b - 4. Let j(h) = -h + 1. What is -f(a) - 4*j(a)?
-11*a**2
Let k(o) = 3*o**3 - 5*o**2 + 5*o - 7. Let c(v) = v**3 - 2*v**2 + 2*v - 3. What is -5*c(h) + 2*k(h)?
h**3 + 1
Let b(o) be th
|
{
"pile_set_name": "DM Mathematics"
}
|
Evaluate ((108/45)/(-6))/((-26)/(-10)).
-2/13
What is the value of (775/(-62))/(-5*1/4)?
10
What is the value of 7/7*112/16?
7
Calculate (-10)/4*(-144)/120.
3
What is the value of (-2)/((-4)/1)*30/35?
3/7
Calculate (-18)/27*18/(-4).
3
What is 5*1*126/(-90)?
-7
What is (6/(-8))/((-2)/(-8))?
-3
Calculate (8/(-20))/(72/(-40)).
2/9
What is the value of 1*(2/16)/(33/(-132))?
-1/2
What is the value of (3/(-15))/(2*(-3)/(-20))?
-2/3
Calculate (-55)/22*12/(-5).
6
Calculate ((-6)/(3/(-3)))/7.
6/7
Evaluate ((-26)/130)/(14/(-10)).
1/7
Calculate (6/(-8))/((-35)/(-420)).
-9
Evaluate 10*1*21/42.
5
Evaluate 2/(11/((-55)/(-10))).
1
What is the value of ((-2)/((36/8)/9))/(-1)?
4
What is -3*-4*56/(-96)?
-7
Evaluate (-2)/1*270/60.
-9
(4/2*(-5)/(-10))/1
1
What is ((-2)/2*2)/2?
-1
((-10)/(-55))/(-1)*(-6)/6
2/11
((-30)/(-35))/(2*4/28)
3
What is ((-30)/45)/((-2)/15)?
5
What is the value of (8/14)/(22/77)?
2
What is the value of (6/(-150))/((-9)/(-30))?
-2/15
What is the value of -4*(-12)/24*(-2)/(-7)?
4/7
What is the value of (-4*(-6)/16)/(90/(-24))?
-2/5
What is the value of (4/5)/(2/(-200)*8)?
-10
Calculate (-1)/(-2)*1/(-2)*4.
-1
What is the value of 2*(-2)/14*42/(-21)?
4/7
What is ((-6)/5)/((-8)/(240/81))?
4/9
Calculate (1/(-5))/(101/3535).
-7
What is (5/((-10)/(-6)))/(3/3)?
3
What is 9/81*-3*-15?
5
What is the value of ((-3)/3*1)/(3/(-12))?
4
5*2/15*(-12)/4
-2
What is 4/132*209/38?
1/6
What is 728/156*(-36)/(-21)?
8
What is ((-112)/224)/(2*1)?
-1/4
What is the value of (-180)/15*(-1)/2?
6
What is the value of 2/(-12)*(-16)/(-2)?
-4/3
What is (30/24)/((-15)/18)?
-3/2
Evaluate -1*((-6)/(-6))/(2/(-8)).
4
Evaluate (-1)/((75/20)/15).
-4
Calculate ((-112)/(-672))/((-10)/(-12)).
1/5
Calculate 3/(((-4)/16)/1*-6).
2
Calculate ((-2)/2)/((-7)/(-14)).
-2
Calculate ((-7)/168*10)/(2/4).
-5/6
What is -8*3*2/12?
-4
What is (-15)/(-18)*220/(-275)?
-2/3
Calculate (2/4)/(2/(-4)*2).
-1/2
What is (-4)/(-6)*(-18)/(-4)?
3
Evaluate (-4)/(8/4)*9/6.
-3
288/468*(-1)/(-4)
2/13
What is (-34)/(-51)*(-1)/((-1)/(-3))?
-2
Evaluate 3/9*-3*3.
-3
Calculate (-9)/12*(-15)/((-1350)/(-96)).
4/5
What is the value of (((-36)/(-15))/(-3))/((-462)/55)?
2/21
What is (-1)/(10/(-180)*6)?
3
Calculate (5/((-50)/8))/((-84)/70).
2/3
What is (0/(-2))/((-63)/9)?
0
What is (3/15)/(1/(20/(-32)))?
-1/8
What is (1/21)/(6*11/(-198))?
-1/7
What is (-21)/((-567)/36)*-1*3?
-4
What is the value of (10/(-56))/((30/40)/3)?
-5/7
Calculate (35/20)/7*10/5.
1/2
(-1)/(-5)*30/(-24)
-1/4
Evaluate 10*6/(-120)*-10.
5
What is ((-4)/10)/(20/(-600)*66)?
2/11
Calculate 1/(-12)*(-272)/51.
4/9
Evaluate (-3)/(-72)*0*(-2)/4.
0
Calculate ((-14)/112)/(-1*(-20)/(-16)).
1/10
Evaluate 10*(-6)/(-15)*35/28.
5
Calculate (-40)/16*2/25.
-1/5
What is (56/(-42))/((-2)/3*3)?
2/3
What is (-2)/18*((-24)/(-3))/(-4)?
2/9
Evaluate (-2*2/28)/((-5)/(-10)).
-2/7
What is the value of ((-9)/(-12))/((-1)/4)?
-3
Evaluate (((-3)/(-3))/3)/((-4)/(-36)).
3
Calculate (-45)/6*4/(-70).
3/7
What is the value of -1*2/(-4)*8?
4
What is the value of (-21)/30*1*(-8)/14?
2/5
Evaluate 36/(-9)*(-2)/(-12).
-2/3
What is the value of (2/22*4)/(2/11)?
2
Evaluate 18/4*5/((-90)/(-24)).
6
What is 8/6*25/((-5200)/(-39))?
1/4
(((-15)/4)/(-5))/((-6)/24)
-3
((-7)/385*11)/((-2)/6)
3/5
Calculate 630/490*21/9.
3
Evaluate 3/(-6)*8/20.
-1/5
Calculate 2/((-20)/(-6))*20/(-8).
-3/2
Evaluate ((385/(-66))/35)/(2/(-2)).
1/6
Calculate ((-2)/(-3))/((-8)/((-288)/(-6))).
-4
What is the value of (1/6)/((-25)/(-1050))?
7
Evaluate ((-192)/(-4))/8*4/6.
4
What is the value of (-6*(-1)/66)/((-1)/(-2))?
2/11
Calculate ((-28)/100)/(-12*(-1)/60).
-7/5
What is (-3)/(-20)*(-1)/(2/(-4))?
3/10
(-90)/45*-3*1
6
Evaluate (-1*1/(-2))/(1/(-2)).
-1
What is (1/(-10))/((-7)/(-84)*-6)?
1/5
Calculate ((-3)/(-6))/(6/(216/(-12))).
-3/2
Evaluate (-5)/5*5/(30/(-8)).
4/3
What is 21/(-7)*(-2)/(-3)?
-2
((-50)/125)/((-1)/(-10)*-2)
2
((-16)/(-20))/(-1*2/5)
-2
Evaluate ((-200)/(-10))/(-2*8/(-4)).
5
What is the value of (-1)/(-6)*-1*(-132)/22?
1
What is ((-8)/(128/12))/(6/(-16))?
2
Calculate (((-891)/(-45))/(-11))/((-9)/(-30)).
-6
What is the value of (-6)/5*(-30)/(-9)?
-4
Calculate (((-30)/(-9))/(-5))/((-75)/(-45)).
-2/5
(-1)/(-2)*-15*6/(-15)
3
What is ((-1)/1)/(15/3)?
-1/5
Evaluate (-23)/46*(40/(-2))/(-2).
-5
What is (-48)/(-4)*(-2)/(-4)?
6
Calculate (-10)/(-30)*3*-4.
-4
What is the value of ((-2)/(-12))/((-7)/(-21))?
1/2
What is the value of (12/72)/(1/18)?
3
Evaluate ((-3)/54)/((-38)/228).
1/3
What is ((-15)/10)/((2/1)/2)?
-3/2
What is the value of (((-12)/(-4))/((-9)/6))/4?
-1/2
What is the value of ((-4)/(48/(-4)))/((-2)/1)?
-1/6
What is the value of 84/42*((-9)/(-3))/(-9)?
-2/3
What is (1/(-3))/(-1*(-8)/216)?
-9
What is 2*(-6)/8*(-4)/3?
2
What is the value of 24/16*(-4)/(-3)?
2
What is the value of 1/(3/(-12)*1)?
-4
What is the value of ((-6)/12)/(11/(-22))?
1
(4*2/20)/(44/(-660))
-6
(5/60*5)/(35/63)
3/4
(-8)/(-52)*13*10/(-4)
-5
Evaluate ((40/(-12))/(-5))/(62/279).
3
(1/((-4)/(-3)))/(297/72)
2/11
What is the value of (120/25)/((-33)/(-55))?
8
176/(-242)*2/8
-2/11
What is (6/(-5))/(70/175)?
-3
What is 45/9*1/(-4)?
-5/4
(6/60*4)/((-7)/5)
-2/7
Calculate (4/(-20))/(4/((-60)/3)).
1
What is (8/60*-3)/(6/60)?
-4
Evaluate 1/(((-6)/3)/(-10)).
5
Calculate ((-2)/(-13))/(37/37).
2/13
-5*4/12*1/5
-1/3
What is the value of (1/3)/(-7*(-3)/42)?
2/3
Evaluate 14/(-35)*(-5)/(-13).
-2/13
What is ((-7)/4)/(6/(120/5))?
-7
What is the value of -6*(-3)/(-108)*2?
-1/3
Calculate ((-4)/14)/(-2)*-1*-2.
2/7
What is the value of 9/(-6)*16/(-6)?
4
What is the value of (4/10)/((910/25)/14)?
2/13
Calculate (10/(-15))/(8/(-24)).
2
(-3)/(-5)*5/(75/10)
2/5
(-4)/2*-1*2
4
Calculate (4*12/32)/(3/4).
2
What is ((-15)/10)/(-3)*-2?
-1
What is the value of (-8)/(-2)*(-12)/120?
-2/5
Calculate (0/2)/(3/(-3)).
0
(((-1)/1)/12)/((-44)/66)
1/8
Calculate ((-24)/(-18))/((-28)/21).
-1
(-10)/6*234/65
-6
Calculate (-8*9/36)/(3*1).
-2/3
Calculate (3*3/(-3))/(1/2).
-6
Calculate 138/(-230)*10/36.
-1/6
Evaluate 1*(1/(-3))/((-13)/(-117)).
-3
What is (-1)/(-2)*8/3?
4/3
((-6)/56)/((-86)/(-344))
-3/7
Calculate ((-2)/(-3))/((-13)/((-143)/(-11))).
-2/3
What is 16/(-30)*45/300?
-2/25
((-2)/8)/(19/19)
-1/4
Calculate 19/380*(-3)/((-9)/6).
1/10
48/12*1/(-2)
-2
Calculate 12/(-90)*-5*-3.
-2
What is 16/(8/2)*2?
8
What is (-6)/(-9)*(-4)/16?
-1/6
(6*(22/(-4))/11)/(-21)
1/7
What is the value of 12/14*(-1092)/(-1170)?
4/5
Calculate ((-42)/(-35))/(4/((-120)/9)).
-4
Evaluate 5/(210/12)*-7.
-2
(0/((-2)/2))/(45/45)
0
Calculate (1/20)/((-7)/(-56)).
2/5
(-21)/91*130/(-40)
3/4
Evaluate ((-2)/10*(-42)/(-14))/(-1).
3/5
Evaluate 1/5*(-4)/(64/20).
-1/4
Evaluate (((-140)/175)/(2/(-20)))/2.
4
Calculate 2/(5/(5/(-4)))*2.
-1
Evaluate 2/(-6*(-4)/(-8))*6.
-4
4/(-6)*(-48)/(-8)
-4
Calculate (-122)/(-2379)*(-3)/(-2)*2.
2/13
What is ((-8)/4)/(1*-1*5)?
2/5
What is the value of (-6)/68*10/(-105)*-14?
-2/17
What is 24/30*(-15)/(-24)?
1/2
(1/3)/(-2*39/(-52))
2/9
Calculate 9/6*(-6)/45.
-1/5
Calculate -10*34/170*4/(-2).
4
What is ((-8)/(-24))/((-1)/3)?
-1
What is the value of (-2)/(2/(-3)*12)*0?
0
Calculate (6/45)/(((-448)/40)/8).
-2/21
Calculate ((-747)/(-415))/(((-6)/(-20))/(-1)).
-6
((-31)/124)/(5/(-20)*-3)
-1/3
What is the value of 1/(6/(-15))*(-24)/15?
4
1080/270*2/2
4
What is (4/(-6))/((-12)/(-90))?
-5
What is ((-20)/(-12)*(-10)/(-75))/2?
1/9
-2*(4/(-1))/2
4
What is the value of (51/102)/(-1*2/4)?
-1
What is (6/(-98))/((-546)/637)?
1/14
What is the value of (-14)/(-21)*-3*5/2?
-5
Calculate (-4)/(-352)*-4*4.
-2/11
-5*4/(-24)*-3*-2
5
1/(-9)*(286/(-33))/13
2/27
-2*9/30*1
-3/5
What is the value of (3*(-6)/(-27))/(24/27)?
3/4
What is 9/15*4*5/2?
6
((-4)/(-35))/(24/196*7)
2/15
Evaluate ((-28)/35)/(9/(135/2)).
-6
What is ((15/(-9))/(-5))/((-5)/(-45))?
3
(-1)/3*-1*3*4
4
Calculate 2/(-6)*(-3)/(-2)*8.
-4
Calculate 6/(-20)*6/15*-5.
3/5
1/(-1*(-5)/(-40))
-8
(-4)/((-16)/(-4))*-1
1
Evaluate ((-18)/(-9))/(2/2).
2
((-52)/(-39))/((-4)/6)
-2
Calculate (-45)/(15/5)*(-2)/(-6).
-5
What is the value of ((-32)/(-16))/((5/(-2))/5)?
-4
What is (((-585)/(-18))/(-13))/((-1)/2)?
5
(-15*10/(-180))/(2/12)
5
Evaluate ((-6)/4)/((-42)/112).
4
What is (-8)/(-48)*-3*-10?
5
(30/18)/(-2*(-1)/6)
5
What is ((-42)/(-49))/((-3)/(63/(-12)))?
3/2
((-10)/20)/((-2)/(-16)*1)
-4
(811/(-4055))/(-3*4/(-10))
-1/6
What is (-20)/(-20)*(-4)/114*3?
-2/19
What is 200/30*2/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
010011
152303 (base 13) to base 8
1765532
What is 342450115 (base 6) in base 15?
843875
Convert -112c09 (base 13) to base 4.
-1203030031
Convert -984a79 (base 13) to base 4.
-31222030133
Convert 45958 (base 15) to base 7.
1611503
21542413 (base 7) to base 13
501376
What is ac6c64 (base 14) in base 2?
10110010110001101011000
Convert 1488504 (base 10) to base 5.
340113004
1aba602 (base 12) to base 10
5720546
-30322260 (base 7) to base 5
-1121323203
Convert 4047f (base 16) to base 9.
441150
Convert -4a458 (base 11) to base 9.
-120307
Convert 11101000010111100 (base 2) to base 12.
58a24
-300411232 (base 5) to base 16
-1215a8
What is 141387 (base 10) in base 8?
424113
Convert -132102103 (base 4) to base 9.
-208144
Convert -134112 (base 5) to base 11.
-417a
-74565 (base 14) to base 4
-1010211331
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-62b5c
-b42b9 (base 15) to base 7
-4565502
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6488a2
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-31cc2
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-c0944
-22c8d5 (base 14) to base 12
-493023
Convert -26539d (base 16) to base 11.
-1466150
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-242265
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17043c
4a836 (base 16) to base 15
60671
Convert -12344432 (base 7) to base 9.
-2086872
15410564 (base 7) to base 15
1e4058
-1473266 (base 8) to base 12
-185186
What is -74ed3 (base 15) in base 6?
-11542343
Convert -328004 (base 9) to base 16.
-2fe09
3333132123 (base 4) to base 14
1d34cb
-4a601 (base 13) to base 4
-201200031
What is 653011 (base 9) in base 15?
7a531
27757456 (base 8) to base 16
5fdf2e
Convert -744a8 (base 12) to base 16.
-254c0
1ccad (base 16) to base 2
11100110010101101
-10313200221 (base 4) to base 3
-2101211021020
29228 (base 13) to base 5
4433032
Convert -312d29 (base 15) to base 13.
-63b50b
1616150 (base 9) to base 14
194b6c
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-101100000100001
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13233023
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-211020201021
83019 (base 13) to base 7
1666266
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222a15
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-211000012002022
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3e50bd
Convert -15604413 (base 7) to base 12.
-610340
28549a6 (base 11) to base 15
6702c9
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-53702317
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-2b6513
-2540330 (base 6) to base 2
-100001100100011110
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2502531
951432 (base 14) to base 8
23154044
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-124025
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-51666
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-576ba2
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122111221101
What is -40822 (base 12) in base 5?
-10142442
423a40 (base 11) to base 10
678733
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434633
2235100 (base 7) to base 16
43d77
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34121144
Convert 110000101110110011111 (base 2) to base 16.
185d9f
Convert -30531423 (base 6) to base 4.
-3113210013
What is -56382 (base 10) in base 16?
-dc3e
5342052 (base 6) to base 4
1000001300
4121a (base 13) to base 7
664350
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1022101010200
-123532 (base 6) to base 2
-10101111010000
b45415 (base 12) to base 16
2b2c11
1329379 (base 10) to base 2
101000100100011100011
1011011110101001110 (base 2) to base 14
9b114
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121033
What is -1122002333 (base 4) in base 10?
-368831
22e3c3 (base 16) to base 5
1041132111
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-13344445
260365 (base 11) to base 8
1441416
1873553 (base 10) to base 5
434423203
What is -45203011 (base 6) in base 14?
-278dc3
-877084 (base 9) to base 2
-1111111110011101010
What is -32233201 (base 4) in base 13?
-21640
What is -6634b (base 13) in base 14?
-4b66a
Convert 3352711 (base 9) to base 16.
1b8fe6
Convert b255b (base 13) to base 3.
121020020211
What is -12343024104 (base 5) in base 11?
-8645740
Convert -17765527 (base 8) to base 16.
-3feb57
Convert 9152e (base 16) to base 8.
2212456
245415221 (base 6) to base 15
63b281
-802545 (base 12) to base 15
-296125
Convert 10440000 (base 5) to base 9.
151662
-33893 (base 10) to base 13
-12572
What is 50025115 (base 7) in base 14?
795045
What is -60255106 (base 7) in base 12?
-1806b47
67950 (base 12) to base 3
21000010020
Convert 3114411421 (base 5) to base 3.
110001100121200
Convert 169aa (base 12) to base 13.
11a64
Convert -863101 (base 9) to base 15.
-a2487
-3784917 (base 10) to base 14
-7074b3
Convert cd4cc (base 14) to base 11.
30a96a
-9c621 (base 13) to base 16
-45726
Convert 601210 (base 14) to base 12.
10b9326
Convert 146264 (base 9) to base 13.
31bb5
Convert -579780 (base 13) to base 14.
-3c1136
Convert -333333113 (base 4) to base 9.
-438475
What is 31033300212 (base 4) in base 6?
202232010
-35b63 (base 12) to base 7
-421251
111534 (base 7) to base 8
46555
What is -3086273 (base 9) in base 5?
-410321123
What is 535007 (base 8) in base 4?
223220013
-3d6525 (base 14) to base 4
-20020012311
What is -7519042 (base 11) in base 10?
-13232848
What is 200111033312 (base 4) in base 8?
40251766
What is 4051015 (base 6) in base 4?
233030303
Convert -2100057 (base 9) to base 2.
-100010001111010111111
Convert 11120221201 (base 3) to base 14.
24d05
Convert -27abc0d (base 14) to base 3.
-1100012112001221
What is -135145041 (base 6) in base 4?
-22203132301
-2552a (base 11) to base 15
-ac84
Convert -358972 (base 16) to base 10.
-3508594
1221211002100 (base 3) to base 8
3756401
Convert 130527 (base 12) to base 7.
2436004
What is -87857 (base 12) in base 10?
-179203
What is 582ac (base 13) in base 15?
329e1
-101010100000000011 (base 2) to base 9
-284715
What is 177593 (base 12) in base 14?
a8411
Convert -66486e (base 16) to base 9.
-13546065
819439 (base 11) to base 16
1412e2
What is 3410155 (base 6) in base 15?
3615e
3c580 (base 13) to base 14
2d272
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4404154
Convert -91723 (base 13) to base 2.
-111111100101101010
What is -10111101101110110 (base 2) in base 4?
-113231312
What is -100001100101010001100 (base 2) in base 10?
-1100428
-9c4a7 (base 14) to base 15
-7771d
7618059 (base 10) to base 6
431140443
-13355 (base 11) to base 16
-4a71
28dc5 (base 16) to base 4
220313011
71b06 (base 16) to base 7
3646432
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223791
What is 11a738 (base 13) in base 9?
714280
-1706859 (base 10) to base 13
-479b9b
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-b832b1
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1130013
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3410341214
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-747194
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-24512011
63239 (base 12) to base 4
133232031
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1255212
16b287 (base 13) to base 12
23434b
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-1215222
22252135 (base 8) to base 11
2792681
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-130003131
9b5c51 (base 13) to base 16
37fb97
-665563 (base 7) to base 11
-80104
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-48822
1322212231 (base 4) to base 7
4161052
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334050510
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41290
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707972
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-160775
-5410673 (base 9) to base 13
-7a72a6
132114132 (base 5) to base 3
1020120002112
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1021103330
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-24244
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-10010001101011001111011
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592b4a
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-29452
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-6361655
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-5268560
396dc (base 14) to base 10
141314
-281111 (base 10) to base 8
-1045027
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-1001010001010011001
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-1011110001110001010
2342200121 (base 5) to base 14
a1429b
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113321220
12024634 (base 7) to base 16
104176
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-2036180
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431232310
-15873 (base 9) to base 16
-2aa8
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-22020131
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61431
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14a91
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-424554
Convert -401643 (base 8) to base 1
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 0*p - 3*p = -21. Let i(u) = 2*u**2 - 6*u - 8. Let m be i(p). Calculate the greatest common factor of m and 32.
16
Suppose -2 = o + 5*r - 1, 0 = 5*r + 5. Suppose -l - 6 = o*w, 2*w + 5*l = -3*w. Let v be 2*(1 + w) - -5. What is the highest common factor of v and 12?
3
Let v(m) = m**2 - 15*m + 3. Let o(l) = -l**2 + 7*l - 1. Let h(s) = -9*o(s) - 4*v(s). Let x be h(3). What is the greatest common factor of x and 3?
3
Suppose -3*j + 233 = 2*u, 0 = 3*u - 4*u + j + 129. What is the highest common factor of u and 31?
31
Suppose 4*t = -t + 130. Calculate the greatest common divisor of 208 and t.
26
Let i be (-2 - -3)*(4 + -1). Let b be (-195)/12*(-12)/i. Calculate the highest common divisor of 26 and b.
13
Let i be ((-6)/(-8))/((-2)/(-1888)). Let b be 2/5 - i/(-30). Suppose 3*v = 5*s + 61, -2*s - 85 = -5*v + 3*s. What is the highest common divisor of v and b?
12
Let w be 37/7 + 6/(-21). Suppose u - 3 = 2*f + 3, -w*u - 4*f = 12. Let n be ((-9)/(-12) + u)*4. What is the highest common divisor of 24 and n?
3
Let k(t) = -3*t + 1. Let b be k(-6). Calculate the highest common factor of b and 171.
19
Let c(q) = q**2 + 8*q + 5. Let h = 23 + -32. Let k be 70/h - (-8)/(-36). Let a be c(k). Calculate the highest common divisor of 15 and a.
5
Let h = 36 - 21. What is the greatest common divisor of 60 and h?
15
Suppose -22 - 158 = -5*p. Let c be 6/15 + 108/5. Suppose -2*t + c = 3*v, -2*t + 6*t + p = 2*v. Calculate the greatest common divisor of v and 2.
2
Let w be (4 - 1)*165/9. Let x = 52 + -30. What is the highest common factor of x and w?
11
Suppose -p + 3 + 7 = 0. Suppose -310 = -4*k - 5*v, -9 + 7 = v. Calculate the greatest common divisor of k and p.
10
Suppose 0 = 3*t - 0*t - 60. Suppose 22*q + 46 - 156 = 0. What is the greatest common factor of q and t?
5
Let u be -1 - (-4 + 3)*15. Let n = u + -8. Suppose 4*h = 71 + 121. Calculate the greatest common divisor of h and n.
6
Let y = -3 + 8. Calculate the highest common factor of 10 and y.
5
Suppose t = -0*w + 3*w - 118, -t - 158 = -4*w. What is the highest common factor of w and 5?
5
Let y be -8*(1 + 20/(-8)). What is the highest common factor of y and 48?
12
Let o(s) = s**3 + 7*s**2 - 9*s - 5. Let n be o(-8). Suppose 13 = n*c - 23. Let a be (-4)/10 - 84/(-10). What is the greatest common divisor of c and a?
4
Let y(x) = x**3 - 14*x**2 - 15*x + 21. Let p be y(15). Calculate the highest common divisor of p and 14.
7
Let t be (1/3)/(4/36). Let m(x) = 3 - x**t - x**2 + x + 4*x**2 + x + 2*x. Let y be m(-2). Calculate the highest common factor of y and 5.
5
Suppose 2*t - 5 = 5. Suppose -9*v = -t*v - 704. Calculate the greatest common divisor of v and 16.
16
Let j(u) = u**2 - 6*u + 7. Let v = 1 + 5. Let r be j(v). Suppose -4*l - 63 = -r*l. What is the greatest common factor of l and 147?
21
Let w = -45 - -87. Suppose 0*n + n - 2 = 0. Suppose -4*v = -2*z - 14, -n*z + 49 - 9 = 5*v. What is the highest common factor of w and v?
6
Let d be (1 + 7)/(9 + -7). Suppose 0 = 2*f + 2 - d. Calculate the greatest common factor of 2 and f.
1
Let a = -12 - -18. Let v be (a/(-2))/(8 - 11). Calculate the greatest common divisor of v and 11.
1
Let y be ((-1 - -2) + 0)*11. Let j be (-44)/12*-1*15. What is the greatest common divisor of y and j?
11
Suppose 5*z - 177 = -2*u + 161, 5*u + 141 = 2*z. What is the highest common factor of 17 and z?
17
Let s = 21 - 15. Suppose 11*z - 35 = s*z. What is the highest common factor of z and 7?
7
Suppose -2*m + 3 + 15 = 0. What is the highest common divisor of m and 27?
9
Suppose -3 = n + 2. Let y be (-1 + 0)*(n - 3). Let p = 0 + 1. Calculate the highest common divisor of p and y.
1
Suppose 0 = -5*v + 44 + 11. Suppose 3*t - 58 - 74 = 0. What is the highest common factor of v and t?
11
Let y = -22 + 26. Calculate the highest common factor of y and 10.
2
Let d = -22 + -59. Let b = 23 - d. Suppose b = 5*a - 76. Calculate the highest common divisor of a and 12.
12
Let x(g) = 6*g + 2. Let c be x(5). What is the greatest common divisor of 288 and c?
32
Let u be 270/36 + (-3)/18*-3. Let v(f) = -f + 1. Let h be v(1). Let z be h + 2 - (-8 + 2). What is the greatest common factor of z and u?
8
Suppose -4*q + 576 = -2*i, 0 = 2*q - q + 2*i - 144. Calculate the highest common factor of 18 and q.
18
Let t be (-6)/(-9) - (-3)/9. Suppose 0 = -q + 1 + t. Let o be (-3)/q*56/(-6). Calculate the greatest common divisor of 7 and o.
7
Let q(h) = -h**3 - h**2 - 2. Let i be q(-3). Suppose 2 = -k + i. What is the greatest common factor of k and 126?
14
Let z = 77 + 99. Let k(q) = q + 3. Let m(h) = h**2 + 3*h + 10. Let d(u) = -8*k(u) + 3*m(u). Let y be d(-2). Calculate the greatest common divisor of y and z.
16
Let r be (3/2)/(6/8). Calculate the greatest common factor of r and 10.
2
Suppose 3*i = 8*i - 440. What is the highest common divisor of 11 and i?
11
Let t be 1/2*(-3 - -11). Suppose -2*g + t*f + 216 - 76 = 0, -2*g + 147 = 3*f. Calculate the greatest common factor of 48 and g.
24
Suppose 0 = -4*d - 27 - 1. Let z = d + 8. Calculate the greatest common factor of z and 5.
1
Suppose -i + 20 = 4*i. Suppose 2*l - 706 = i*l. Let g = -199 - l. What is the highest common divisor of g and 14?
14
Suppose -12 = -o + 2*v + 2*v, -4*o - 5*v = -111. Suppose 0 = -5*d + d + o. Let i(q) = -50*q - 2. Let n be i(-1). Calculate the highest common factor of n and d.
6
Let h(p) = p**2 + 5*p - 5. Let k be h(-7). Let c = 11 - 2. What is the highest common factor of c and k?
9
Let o be (-1 - 1)/(2/(-32)). Let v be (o/10)/(10/50). Calculate the greatest common divisor of v and 4.
4
Let a(z) = -z + 8. Let t be a(8). Suppose 2 = r - t*r. Calculate the greatest common factor of r and 5.
1
Let t(g) = 23*g - 32. Let m be t(21). Calculate the highest common factor of 41 and m.
41
Let u(h) = h + 12. Let l be u(14). Calculate the greatest common factor of 39 and l.
13
Suppose -q - 60 = -5*m, -4*m - m - 5*q = -30. Let d(o) = -o**3 + 8*o**2 - 7*o + 3. Let a be d(6). What is the greatest common factor of m and a?
11
Suppose 6*s = 4 + 8. Suppose 0 = s*c - 4*c + 12. Calculate the greatest common factor of c and 42.
6
Let z(i) = -i - 4. Let n be z(-4). Suppose p + 7 - 17 = n. Let h = 86 + -46. What is the greatest common divisor of p and h?
10
Let k = 9 + -6. Suppose -q - 2*q + 69 = -2*l, -l = 3. Calculate the greatest common factor of q and k.
3
Let s = -126 + 133. What is the highest common divisor of s and 21?
7
Let k be 1158/90 + (-5)/(150/(-4)). Calculate the highest common divisor of 65 and k.
13
Let o = 147 - -98. Suppose 4*n + n = o. What is the greatest common factor of n and 7?
7
Suppose -5*z - 5*c = -50, -z - 4*z = c - 58. Calculate the greatest common divisor of z and 288.
12
Suppose -3 = -2*j + 3. Calculate the greatest common factor of 24 and j.
3
Suppose -8*b + 3*b = -5*r + 40, -5*r + 46 = -3*b. Let s(h) = 2*h**2 - h + 1. Let c be s(-2). Calculate the greatest common divisor of r and c.
11
Let c be (-7)/(7/(-4)) + 86. What is the greatest common factor of c and 9?
9
Let s be 12/(-10)*(-1 - -6). Suppose 0 = 3*i + 2*i + 20. Let v = i - s. What is the highest common divisor of 14 and v?
2
Suppose 0 = 5*w + 25 - 85. What is the greatest common divisor of 24 and w?
12
Suppose 2*f + 5*q - 95 = 0, -2*q = -3*f + 3*q + 155. Let t be 5/((-5)/(-2))*10. What is the greatest common factor of f and t?
10
Suppose -2*a + 2*t = -6, 11 = a - 4*t - 4. Let c = a + 3. Let k be (c + (-18)/(-2))/1. Calculate the highest common divisor of k and 77.
11
Let b = 20 - -70. Calculate the highest common factor of 10 and b.
10
Let b(r) = 6*r**3 - 3*r**2 + 3*r - 1. Let c be b(1). Suppose 5*o - 20 = 3*o. Let d be (12/o)/3*25. What is the highest common factor of c and d?
5
Let o = 4 - 0. Suppose -5*m - 36 = -4*r, -3*m - 31 + 11 = -2*r. Suppose r*a + 0*c - o*c = 12, a - 28 = -4*c. What is the greatest common divisor of 40 and a?
8
Suppose 3*y = -2*q + 117, -3*q = -8*q. Suppose 0 = -3*b - 5*m + 103, -5*b - 2*m = m - 145. Calculate the highest common divisor of b and y.
13
Let a = 8 + 2. Calculate the highest common divisor of 5 and a.
5
Suppose 124 = 5*r - 3*r + f, -4*r + 2*f + 232 = 0. What is the greatest common divisor of 15 and r?
15
Let n be 2 + -3 - 67*1. Let z = -22 + n. Let l be (z/(-4))/(3/6). Calculate the greatest common divisor of 15 and l.
15
Let w(s) =
|
{
"pile_set_name": "DM Mathematics"
}
|
6
-1.28
Product of 0.2 and -0.04.
-0.008
-78 times 6.6
-514.8
-0.0005*-0.3
0.00015
Product of 0.4 and -1533.
-613.2
304*-0.62
-188.48
Multiply -81 and 0.5.
-40.5
-17 * 320
-5440
Product of -1 and -1561.
1561
Calculate 0.4*-75.2.
-30.08
Product of 37.9 and -2.
-75.8
-4 * -0.055
0.22
Product of 0.463 and -1.
-0.463
0.4 * -2427
-970.8
What is -0.05 times -0.4?
0.02
Multiply -6 and 313.
-1878
Work out 0.35 * 0.6.
0.21
-3 times 0.304
-0.912
What is -0.02 times -0.439?
0.00878
What is the product of 0.04 and 1?
0.04
-82.5*0.4
-33
-2 * -14
28
Calculate 0.067*0.4.
0.0268
What is 0.22 times -0.1?
-0.022
-0.2 * 1388
-277.6
Work out -3 * 0.65.
-1.95
What is 11 times 0.452?
4.972
-4 times 0.048
-0.192
Product of 0.0426 and 0.
0
0.04*0.34
0.0136
3 * 124
372
What is the product of 0.107 and -0.6?
-0.0642
5 * -690
-3450
0 * 55
0
What is the product of -22 and -2?
44
What is 0.5 times 3499?
1749.5
548 * 0.3
164.4
What is -0.0766 times 2?
-0.1532
What is the product of 0 and 6.5?
0
Product of 0.0526 and -5.
-0.263
-4345 * 0.1
-434.5
Product of 1.5 and 19.8.
29.7
Calculate -4*0.083.
-0.332
Multiply -4064 and -0.6.
2438.4
Calculate 3.01*-20.
-60.2
Work out -3 * 0.144.
-0.432
Multiply -0.084 and -4.
0.336
What is the product of 10.541 and 0.3?
3.1623
What is the product of -331 and 7?
-2317
25.8 * 0.1
2.58
What is 3 times -35?
-105
Calculate 3*-650.
-1950
-1*-9
9
Product of -0.2 and 181.
-36.2
-0.012 times -93
1.116
Work out -6 * 48.06.
-288.36
Product of -799 and 0.5.
-399.5
26.01 * 1
26.01
What is the product of 0.035 and -2.2?
-0.077
21*-0.01
-0.21
83 times -3
-249
106.07 * 0.5
53.035
-3*-42
126
Work out -797 * -5.
3985
Work out -0.22 * -23.
5.06
What is the product of -17 and -7?
119
Multiply 0.79 and 0.13.
0.1027
What is 0.3 times 15.6?
4.68
-70 * 24
-1680
Product of -266.9 and -11.
2935.9
What is -0.6 times -0.3?
0.18
What is the product of 0.045 and -0.04?
-0.0018
Multiply -3.33 and -14.
46.62
What is the product of 0 and -0.38?
0
3 * 16.71
50.13
Product of -20765 and 4.
-83060
0 times -150
0
Product of -0.016 and -0.13.
0.00208
Work out 534 * 1.
534
Work out -5 * -0.08.
0.4
0.04 times -785
-31.4
Product of -19 and -6.
114
Work out 7569 * -0.5.
-3784.5
Calculate -500*0.05.
-25
Work out 1.11 * 0.5.
0.555
What is the product of -5.9 and 7?
-41.3
-0.06 * -73
4.38
-5 * 120
-600
Work out -28.2 * -0.12.
3.384
-0.752*-0.2
0.1504
What is 235 times 31?
7285
Product of -0.021 and -112.
2.352
-651 times 0.3
-195.3
Product of -3 and 1304.
-3912
What is the product of -0.3 and -5.2?
1.56
What is the product of 5 and 80?
400
What is the product of -0.04 and 28?
-1.12
Multiply -7 and 367.
-2569
5 times 8.3
41.5
-1.12 * 1
-1.12
0.3 * 4.4
1.32
7 times 0.2
1.4
-44 * -0.71
31.24
12 times -0.47
-5.64
Calculate 0.8*57.
45.6
-0.5 times -7.72
3.86
Multiply -0.26 and 0.017.
-0.00442
Product of -2 and 8.3.
-16.6
Calculate 1202*2.
2404
0.87*-14
-12.18
83*-18.6
-1543.8
-1.2 times -12
14.4
Calculate -88*47.
-4136
-0.19 times 0.7
-0.133
What is the product of -8771 and 2?
-17542
Product of -41.28 and -5.
206.4
-0.4 times 376
-150.4
Multiply -1464 and 0.3.
-439.2
What is 141 times -0.03?
-4.23
What is the product of 0.0548 and -2.8?
-0.15344
1215 times -0.05
-60.75
What is the product of 209 and 0.7?
146.3
What is the product of -5.7 and 8?
-45.6
Product of 32 and 204.
6528
Multiply -0.1 and 0.072.
-0.0072
Product of 0.2 and -102.
-20.4
Multiply 2 and 449.
898
Work out 4 * 190.
760
Work out 33 * -82.
-2706
0.2*41
8.2
Multiply -7.39 and 3.
-22.17
What is the product of 2.9 and 5?
14.5
57.7 times -0.3
-17.31
-0.4*5.7
-2.28
Work out -0.2 * 0.644.
-0.1288
Multiply -5.16 and -0.4.
2.064
What is -3 times -677?
2031
Work out 5 * -920.
-4600
-0.268 times -0.1
0.0268
What is the product of 1586 and 0.05?
79.3
Product of -7 and 73.
-511
-280.9 * -0.4
112.36
319 * -0.2
-63.8
What is the product of -6 and 157.3?
-943.8
Multiply 0.0539 and -2.
-0.1078
Product of -1 and 0.11.
-0.11
What is 1.4 times 478?
669.2
Calculate 34*13.
442
Work out -1829 * 0.1.
-182.9
Calculate 0.5*-0.49.
-0.245
Calculate 0.4221*4.
1.6884
Work out 4 * -2752.
-11008
Product of -9 and 2.1.
-18.9
Calculate 0.4*-134.
-53.6
Calculate 0*0.056.
0
Multiply -6 and 25.
-150
-3 times 30.9
-92.7
Work out 0.23 * 80.
18.4
Work out -0.01 * 309.
-3.09
Multiply -4 and 1.349.
-5.396
Work out -91.65 * -0.3.
27.495
-0.5 times 331
-165.5
Work out -763 * 0.2.
-152.6
What is the product of -4 and -40?
160
Work out 0.15 * -5.
-0.75
Multiply 89 and 231.
20559
-2647*-0.08
211.76
What is 52 times 0.06?
3.12
-0.113 times -0.4
0.0452
Multiply 0 and -0.028.
0
What is the product of -4 and -157.5?
630
Calculate -0.301*5.
-1.505
270*-0.2
-54
What is 0.4 times -544?
-217.6
Work out 20.031 * -2.
-40.062
What is the product of -76 and -0.05?
3.8
-0.16 times 298
-47.68
What is the product of -10 and 0.3?
-3
30*1
30
Work out -2.5 * 1.07.
-2.675
-26 * 8
-208
-0.03 times -0.17
0.0051
-55*-3
165
What is the product of -1.9091 and 0?
0
What is the product of 0.5 and -3542?
-1771
4.2*-3
-12.6
0.7 times 1284
898.8
Work out 49 * 0.13.
6.37
14697 times -0.3
-4409.1
Product of -0.002 and -3.
0.006
Work out 2.4 * 0.64.
1.536
6*6
36
1976*2
3952
-3274 * -0.6
1964.4
What is the product of -797 and -0.1?
79.7
Multiply 4.2 and -3.9.
-16.38
What is -0.3 times -18?
5.4
Product of 9 and 1.
9
Work out -13.1 * 39.
-510.9
4 times -0.25
-1
Product of 8 and 17.
136
Multiply 20 and -0.2.
-4
Work out -0.5 * 121.
-60.5
3*-0.0654
-0.1962
112 times -0.9
-100.8
4008 * 4
16032
What is the product of 7042 and -5?
-35210
-3 * 80
-240
-252*-28
7056
Work out -21 * 0.3.
-6.3
What is the product of -0.4 and 46?
-18.4
What is the product of 2 and 7794?
15588
Work out 0.5 * 407.
203.5
What is the product of 5 and 0.0278?
0.139
14.3*0.4
5.72
75 * -5
-375
45*1.05
47.25
What is 0.1306 times -0.1?
-0.01306
What is the product of 0.009 and 0.29?
0.00261
Work out -236 * -0.5.
118
-0.2 * -124
24.8
0.1 * 6.9
0.69
Calculate 1.5*0.01.
0.015
Work out -156 * 0.1.
-15.6
What is the product of -3.1 and 0.2?
-0.62
What is 1.01 times 0.82?
0.8282
Work out 1.1 * -0.99.
-1.089
Multiply 0.3 and -2.389.
-0.7167
-0.1 times 0.011
-0.0011
What is 0.0525 times 0.02?
0.00105
Product of 211 and -51.
-10761
4 times 28
112
Calculate 0.2*1368.
273.6
Product of 28.7 and 2.
57.4
Calculate 0.01*-19.
-0.19
98 * -0.6
-58.8
Multiply 7.944 and 0.5.
3.972
-2844*0.8
-2275.2
What is the product of 3 and 25.1?
75.3
Product of 0.6357 and 0.5.
0.31785
0.2*-264
-52.8
0.2 * -1607
-321.4
Product of 11722 and 0.5.
5861
Calculate 0.4*-386.
-154.4
What is 5 times 56?
280
Work out 12.6 * -0.09.
-1.134
Product of -0.09 and -0.0805.
0.007245
-0.12 times -49
5.88
Multiply 8 and 0.
0
Product of 0.22 and 0.3.
0.066
Calculate -3.1*1.76.
-5.456
What is the product of 0.4 and 8?
3.2
What is -747 times 0.2?
-149.4
-2 times 871
-1742
What is 5 times -0.05342?
-0.2671
Work out 0.4 * -0.8055.
-0.3222
-58.2*0.3
-17.46
What is 1.2 times -0.03?
-0.036
What is the product of -1055 and 1?
-1055
-0.5 times 0.0834
-0.0417
Multiply 1 and 0.123.
0.123
What is -861 times 0.2?
-172.2
Multiply 0.04 and -0.8.
-0.032
-1087*-0.2
217.4
Calculate 0.5*-0.685.
-0.3425
Calculate -179*0.5.
-89.5
Multiply -0.4 and -9.
3.6
0.78*26
20.28
-1.1 times -25
27.5
Calculate 0.24*45.
10.8
Product of -2.7 and 2.
-5.4
Calculate -0.13*8.
-1.04
What is the product of 2 and 0.0223?
0.0446
Multiply -0.02 and 0.22.
-0.0044
150*-3
-450
What is the product of 0 and -298?
0
3.589 times 0.5
1.7945
10*-10
-100
What is the product of -8 and 8?
-64
Calculate -3*466.
-1398
Work out 0.2 * -0.0647.
-0.01294
Multiply 22 and 1129.
24838
0.05*0.1
0.005
0.3 * 40
12
What is 4 times -974?
-3896
Multiply -1 and -154.
154
Product of 4.9 and 6.
29.4
What is the product of 18.7 and 2?
37.4
Product of 11.3 and 0.5.
5.65
Work out -2 * -14.
28
What is the product of 0.99 and 0.15?
0.1485
What is -0.3 times -1078?
323.4
What is the product of 3.3 and 5?
16.5
Work out -5.92 * -0.4.
2.368
-349 times -10
3490
What is the product of 4 and -180?
-720
Multiply 641.8 and 0.2.
128.36
What is the product of 391 and 14?
5474
1 * 675
675
Product of 19 and -7.
-133
Calculate 0.4*-3453.
-1381.2
-2*0.121
-0.242
What is the product of -0.5 and 0.19?
-0.095
2.3*-0.086
-0.1978
Product of 0.02 and 0.029.
0.00058
What is the product
|
{
"pile_set_name": "DM Mathematics"
}
|
00.
-40000
Let f = -69.00041 - -69. What is f rounded to 4 dps?
-0.0004
Let z be ((-3816)/(-27))/(4/6). Round z to the nearest ten.
210
Let j = -1179230.2349927 + 1179098.235. Let l = 0.28 - -131.72. Let k = j + l. Round k to six dps.
0.000007
Let t = 24 + -21.07. Let l = t - 2.8. Round l to one decimal place.
0.1
Let c = -1 + 1.8. Let m = c + 0.2. Let x = 1.044 - m. Round x to 2 dps.
0.04
Let p = -0.001 - 0.0854. What is p rounded to 2 decimal places?
-0.09
Let t be -4 - -4 - (-33096)/(-2). Let s = -35452 + t. What is s rounded to the nearest ten thousand?
-50000
Let n(o) = -25*o + 3. Let j be n(-8). Suppose 2*f = -g + 3*f - j, 5*f = 0. Round g to the nearest 10.
-200
Let d = 57.099 - 57. Round d to 2 dps.
0.1
Let u = 51.99 - 54. Let c = u - -2. Let i = c - -0.0100051. What is i rounded to 6 decimal places?
0.000005
Let b = -80804243 + 80808040.3999. Let m = -3797 + b. Let p = m - 0.4. Round p to 3 dps.
0
Let q(y) = -y**3 - 3*y**2 + 6*y + 6. Let n = 3 - 10. Let v be q(n). What is v rounded to the nearest one hundred?
200
Let f = -44 - -20. Let y = -24.13 - f. What is y rounded to one decimal place?
-0.1
Let s be 0 + (4 - 3) + 3. Suppose -s*k + 2*p - 8871 = 24329, 3*p = 0. Round k to the nearest one thousand.
-8000
Let w(i) = -6301*i - 10. Suppose 3*c - 4 = -40. Let z be ((-6)/c)/(2/(-40)). Let u be w(z). Round u to the nearest ten thousand.
60000
Let q = -24 + 23.9515. Let m = 17.95 - 18. Let g = m - q. What is g rounded to three decimal places?
-0.002
Suppose 5*k - 4*k = -33. Let j = -72 - k. Let m be j*10 + (2 - 2). What is m rounded to the nearest 100?
-400
Let v = -54 + 52.26. Round v to one dp.
-1.7
Let l be -2 + (-2 - -3) + 4. Suppose -l*d - 9 - 132 = 0. What is d rounded to the nearest ten?
-50
Let b be (-4)/(-12)*-3*1 - -731. What is b rounded to the nearest 100?
700
Let m = 26 + -44. Let l = m - -11. Let u(n) = 497*n**3 + 11*n**2 + 11*n + 9. Let t be u(l). What is t rounded to the nearest 100000?
-200000
Let t(j) = 2*j - 8. Let q be t(6). Let b be (-148499990)/45 + q/(-18). Round b to the nearest one million.
-3000000
Let w = 1664649 - 2400649. What is w rounded to the nearest one hundred thousand?
-700000
Let s = 9 + 46. Let t = -55.097 + s. Round t to two dps.
-0.1
Suppose 6950 = 7*p - 8*p. What is p rounded to the nearest one thousand?
-7000
Let l = 3.9 + -3.90178. Round l to 4 decimal places.
-0.0018
Let m = -0.14400227 - -0.144. What is m rounded to 7 dps?
-0.0000023
Let g = 9 + -9. Suppose g = -2*k - 6 - 2, -3*i - 27 = -3*k. Round i to the nearest 10.
-10
Let l = 2.64 + -2.9. Let r = l - 0.45. What is r rounded to one decimal place?
-0.7
Let y = -132.102 - -132.1219994. Let n = -0.02 + y. What is n rounded to six dps?
-0.000001
Let o = 0.18 - -29.82. Let j = 9 + o. Let a = j - 50.7. Round a to the nearest integer.
-12
Let q = -0.1904 + 0.2. What is q rounded to three decimal places?
0.01
Let o = -88.8 - -5.6. Let h = o - -77. Round h to 0 dps.
-6
Let v = -56 - -55.99943. Round v to 4 dps.
-0.0006
Let g = -9214948 - -9214937.9999999. Let i = 10 + g. What is i rounded to 6 dps?
0
Suppose 0 = 3*h - 9, 46 = a - 0*a + 3*h. Let m = 48 + a. Suppose -v - m = -3*u, v - u + 215 = -2*v. What is v rounded to the nearest one hundred?
-100
Suppose f - 5*a + 17274213 = 2*f, -5*a - 69096927 = -4*f. Suppose 3*j - f = 4325772. What is j rounded to the nearest 1000000?
7000000
Let f = -223.2034741 - 0.0195259. Let m = f + 223. Let n = 0.22439 + m. What is n rounded to 4 dps?
0.0014
Suppose -1891104 = -3*n - 1104. Round n to the nearest 100000.
600000
Suppose 0 = 5*b - x - 32, 5*b - 28 = -x - 0. Let h(n) = 1166668*n - 8. Let j be h(b). Round j to the nearest 1000000.
7000000
Suppose 1129763 + 22670237 = -2*b. Round b to the nearest one million.
-12000000
Suppose -2*p - 53 = -t - 794, -1859 = -5*p - 4*t. What is p rounded to the nearest 10?
370
Let d = 58.999931 + -59. Round d to 4 decimal places.
-0.0001
Let f = 5 + -5.000158. Round f to five dps.
-0.00016
Let r = 4046 - 4272.43. Let v = r - -224. Let i = v - -2.3. What is i rounded to 1 dp?
-0.1
Let s(o) be the third derivative of 145001*o**4/24 - 4*o**3/3 - 2*o**2. Let v be s(8). Round v to the nearest one hundred thousand.
1200000
Let p = -16.35 + 1.55. Round p to the nearest integer.
-15
Let g = 0.004 + -22.004. Let v = -22.23 - g. Let n = -0.07 + v. What is n rounded to 1 decimal place?
-0.3
Let t = 239 - 105. Let z = 133.99917 - t. Round z to four dps.
-0.0008
Let h be (-155)/(-6) + 6/36. Let q = h + -44. What is q rounded to the nearest integer?
-18
Let y = -4.2402 + -0.6888. Let s = y - -4.9. Round s to 2 decimal places.
-0.03
Let i = 49305 - 71305. What is i rounded to the nearest 100000?
0
Let w = -0.022 + 0.0197. What is w rounded to three decimal places?
-0.002
Suppose -2*j = -4*x - 780004, 4*x + 735346 + 44662 = 4*j. What is x rounded to the nearest ten thousand?
-200000
Let b be (3 - 0) + 1 + 3799996. Suppose 0 = -0*g - g + b. Round g to the nearest 1000000.
4000000
Let h = -41 + 40.965. Round h to 2 dps.
-0.04
Suppose -3*n - 15 = -69. Let g = 32 + n. Suppose 4*t + g = -2*d, -3*d + 1 = t + 2*d. What is t rounded to the nearest ten?
-10
Let f = 18 - 10. Suppose -t + 5*a = 7, -2*a = t + 4*t + f. Let b be -109000 + -3 + 5 + t. What is b rounded to the nearest ten thousand?
-110000
Let o = -118 + 117.99768. Round o to 4 dps.
-0.0023
Let r = -12.2 + 18.175. Let p = -6 + r. What is p rounded to 2 dps?
-0.03
Let c = 1.7458 + -8349.7458. Let g = c - -8348.09699. Let r = 0.098 - g. Round r to four decimal places.
0.001
Let k(v) = 1142788*v**2 - 3*v + 2. Let q be k(-4). Let f = q - 38484622. What is f rounded to the nearest 1000000?
-20000000
Let j = -0.05 + 2.05. Let w = 190.984 + -193. Let x = w + j. Round x to two dps.
-0.02
Let l = 5 + -4.88. Let k = l - 0.120002. What is k rounded to seven decimal places?
-0.000002
Suppose -4*n = -3*g - 9*n, 3*g + 3*n = 0. Suppose -4*u - d = -28170 + 6172, g = u - 4*d - 5508. Round u to the nearest 1000.
6000
Let q = -1100 - -6400. What is q rounded to the nearest one thousand?
5000
Let s = 6 - 3. Let o = -3.08 + s. Let d = o - -0.0803. What is d rounded to three dps?
0
Suppose -4*g + 2*t = -20 + 4, 2*g + t = 0. Suppose g*p + n = -758 - 167, -5*n = 2*p + 945. Round p to the nearest one hundred.
-500
Let c(k) = -54*k + 7*k + 1 - 2. Let a be c(2). Let g be 1/(3/a)*-300. Round g to the nearest one thousand.
10000
Let p(y) = -y**2 + 12*y + 2. Let b be p(12). Suppose 0 = -w + t - 688 - 813, 3*t = b*w + 3003. Round w to the nearest one thousand.
-2000
Let m = -9.76402 - 0.07298. Let l = m - -1.83648. Let i = l - -8. Round i to 4 dps.
-0.0005
Let v = -1.01 + 0.9879. Round v to 3 decimal places.
-0.022
Let h = 0.420999419 + -0.421. What is h rounded to seven decimal places?
-0.0000006
Let n be (-24)/(-16)*(-16)/(-6). Suppose -14 = -n*i + 6. Suppose 1801 = i*t + 4501. Round t to the nearest one hundred.
-500
Suppose -2*h = -8*h + 130200000. Round h to the nearest 1000000.
22000000
Let n = 102 + -101.9941. Round n to three decimal places.
0.006
Let i = 131 + -45. Let m = 85.9939 - i. What is m rounded to 3 dps?
-0.006
Let w be 6/(-3) + 9096 - 4. What is w rounded to the nearest one thousand?
9000
Let u = 289.816906 - -0.019594. Let l = u + -274.84. Let j = l + -15. Round j to 3 decimal places.
-0.004
Let u = 290 + -290.406. Let i = u + 0.4060181. What is i rounded to six decimal places?
0.000018
Let n = 0.052 + -0.0519888. Round n to 6 decimal places.
0.000011
Let r(v) = v**2 - v. Let c be r(4). Let k be (544/c)/((-1)/(-375)). Round k to the nearest 10000.
20000
Let x = -38.39968 - -37.7. Let u = 0.7 + x. Round u to four decimal places.
0.0003
Let n = -522 - -522.798. Round n to 1 decimal place.
0.8
Let y(a) = -50556*a**3 - 3*a**2 - 2*a - 6. Let u be y(-6). Let i be 4/(-14) - u/21. Round i to the nearest one hundred thousand.
-500000
Let r = 0.0099938 + -0.01. What is r rounded to six dps?
-0.000006
Suppose -i - 16245 = -151245. Round i to the nearest ten thousand.
140000
Let o = -184544 + 334542. Let y be 4/12 - o/(-6). What is y rounded to the nearest 10000?
30000
Let h = 5699894 + -5699894.06000062. Let c = -0.13 - -0.07. Let x = c - h. Round x to seven dps.
0.0000006
Let l = 12 + -7. Suppose -3*f = 6, -p = -l*f + 78 - 191. Round p to the nearest 10.
100
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
is 599 minutes before 4:17 AM?
6:18 PM
What is 624 minutes before 10:27 PM?
12:03 PM
What is 705 minutes before 6:26 AM?
6:41 PM
How many minutes are there between 3:09 PM and 5:21 PM?
132
How many minutes are there between 3:11 PM and 7:11 PM?
240
What is 166 minutes before 12:46 PM?
10:00 AM
How many minutes are there between 8:11 PM and 2:57 AM?
406
What is 491 minutes before 6:12 AM?
10:01 PM
What is 456 minutes after 11:47 PM?
7:23 AM
What is 144 minutes before 8:08 AM?
5:44 AM
What is 616 minutes after 6:13 PM?
4:29 AM
What is 159 minutes before 10:56 PM?
8:17 PM
How many minutes are there between 1:53 AM and 11:37 AM?
584
How many minutes are there between 9:15 PM and 1:45 AM?
270
How many minutes are there between 4:26 AM and 9:26 AM?
300
How many minutes are there between 7:08 PM and 5:17 AM?
609
How many minutes are there between 5:50 AM and 12:03 PM?
373
What is 459 minutes before 1:24 AM?
5:45 PM
What is 142 minutes after 1:26 PM?
3:48 PM
How many minutes are there between 11:05 AM and 2:06 PM?
181
What is 296 minutes before 4:36 AM?
11:40 PM
How many minutes are there between 5:59 PM and 8:09 PM?
130
How many minutes are there between 5:03 PM and 11:09 PM?
366
What is 300 minutes before 3:47 AM?
10:47 PM
What is 38 minutes before 5:17 AM?
4:39 AM
What is 42 minutes after 6:26 PM?
7:08 PM
What is 289 minutes after 9:39 PM?
2:28 AM
What is 423 minutes after 6:04 PM?
1:07 AM
How many minutes are there between 5:07 PM and 7:43 PM?
156
How many minutes are there between 4:36 PM and 10:00 PM?
324
What is 185 minutes before 6:46 PM?
3:41 PM
How many minutes are there between 3:55 PM and 10:11 PM?
376
How many minutes are there between 10:38 PM and 9:59 AM?
681
How many minutes are there between 6:04 PM and 5:33 AM?
689
How many minutes are there between 7:13 AM and 4:11 PM?
538
What is 123 minutes after 3:27 PM?
5:30 PM
What is 634 minutes before 8:19 AM?
9:45 PM
How many minutes are there between 3:30 AM and 5:37 AM?
127
How many minutes are there between 3:27 PM and 10:06 PM?
399
What is 690 minutes after 8:08 PM?
7:38 AM
What is 337 minutes before 9:07 PM?
3:30 PM
What is 231 minutes before 12:35 PM?
8:44 AM
What is 584 minutes after 8:32 AM?
6:16 PM
What is 166 minutes after 8:50 PM?
11:36 PM
How many minutes are there between 8:06 PM and 2:22 AM?
376
What is 49 minutes after 6:06 AM?
6:55 AM
What is 92 minutes before 9:30 PM?
7:58 PM
How many minutes are there between 9:39 PM and 2:48 AM?
309
What is 39 minutes after 11:30 PM?
12:09 AM
How many minutes are there between 12:36 PM and 6:01 PM?
325
How many minutes are there between 8:29 AM and 5:59 PM?
570
What is 33 minutes after 8:50 AM?
9:23 AM
How many minutes are there between 9:00 PM and 12:43 AM?
223
What is 474 minutes before 5:34 AM?
9:40 PM
How many minutes are there between 1:37 AM and 9:31 AM?
474
What is 54 minutes before 6:50 PM?
5:56 PM
What is 420 minutes after 2:56 PM?
9:56 PM
What is 253 minutes before 6:16 AM?
2:03 AM
How many minutes are there between 1:34 AM and 11:23 AM?
589
How many minutes are there between 9:44 AM and 3:39 PM?
355
How many minutes are there between 7:43 PM and 12:47 AM?
304
What is 505 minutes before 3:30 AM?
7:05 PM
What is 4 minutes after 10:41 PM?
10:45 PM
How many minutes are there between 5:56 PM and 11:33 PM?
337
How many minutes are there between 2:18 PM and 5:49 PM?
211
How many minutes are there between 3:28 AM and 7:05 AM?
217
How many minutes are there between 5:31 PM and 5:18 AM?
707
How many minutes are there between 9:13 PM and 9:52 PM?
39
What is 588 minutes after 12:49 AM?
10:37 AM
What is 96 minutes before 1:28 AM?
11:52 PM
What is 400 minutes before 10:40 AM?
4:00 AM
How many minutes are there between 1:31 PM and 8:59 PM?
448
How many minutes are there between 2:05 PM and 12:44 AM?
639
How many minutes are there between 2:22 AM and 7:27 AM?
305
What is 9 minutes before 9:53 PM?
9:44 PM
What is 644 minutes after 6:10 PM?
4:54 AM
How many minutes are there between 5:19 PM and 1:01 AM?
462
How many minutes are there between 4:26 AM and 3:51 PM?
685
What is 132 minutes before 7:35 PM?
5:23 PM
How many minutes are there between 12:40 PM and 6:33 PM?
353
How many minutes are there between 4:08 AM and 6:03 AM?
115
What is 408 minutes before 10:51 PM?
4:03 PM
How many minutes are there between 8:06 AM and 6:42 PM?
636
What is 144 minutes after 9:51 PM?
12:15 AM
How many minutes are there between 6:59 AM and 3:22 PM?
503
How many minutes are there between 10:10 AM and 11:01 AM?
51
What is 14 minutes before 10:53 AM?
10:39 AM
What is 49 minutes before 10:18 AM?
9:29 AM
How many minutes are there between 3:32 AM and 5:38 AM?
126
What is 310 minutes before 4:49 AM?
11:39 PM
What is 104 minutes after 2:42 PM?
4:26 PM
How many minutes are there between 11:26 AM and 4:30 PM?
304
What is 690 minutes before 11:56 PM?
12:26 PM
What is 175 minutes before 1:05 PM?
10:10 AM
How many minutes are there between 2:57 PM and 5:14 PM?
137
What is 252 minutes after 5:35 PM?
9:47 PM
How many minutes are there between 10:02 PM and 5:45 AM?
463
What is 149 minutes before 7:32 PM?
5:03 PM
What is 445 minutes after 4:42 AM?
12:07 PM
How many minutes are there between 4:13 PM and 3:59 AM?
706
How many minutes are there between 10:11 AM and 7:23 PM?
552
What is 558 minutes after 5:08 AM?
2:26 PM
How many minutes are there between 4:16 PM and 5:25 PM?
69
What is 678 minutes before 12:03 PM?
12:45 AM
How many minutes are there between 9:56 PM and 9:17 AM?
681
What is 419 minutes before 1:05 AM?
6:06 PM
What is 135 minutes before 9:14 AM?
6:59 AM
How many minutes are there between 3:48 AM and 1:43 PM?
595
How many minutes are there between 6:46 AM and 11:12 AM?
266
What is 481 minutes after 7:06 PM?
3:07 AM
What is 706 minutes after 7:11 PM?
6:57 AM
How many minutes are there between 12:38 PM and 10:11 PM?
573
What is 416 minutes before 4:12 PM?
9:16 AM
What is 40 minutes before 9:30 AM?
8:50 AM
What is 62 minutes before 1:07 PM?
12:05 PM
What is 546 minutes before 4:19 PM?
7:13 AM
How many minutes are there between 8:09 AM and 9:12 AM?
63
What is 525 minutes before 12:53 AM?
4:08 PM
What is 508 minutes before 9:04 PM?
12:36 PM
How many minutes are there between 10:18 AM and 6:58 PM?
520
What is 300 minutes before 6:51 AM?
1:51 AM
What is 430 minutes before 9:00 PM?
1:50 PM
What is 400 minutes before 3:18 PM?
8:38 AM
What is 10 minutes after 11:04 PM?
11:14 PM
What is 136 minutes before 7:58 AM?
5:42 AM
What is 126 minutes after 10:37 AM?
12:43 PM
How many minutes are there between 11:01 PM and 6:04 AM?
423
What is 298 minutes before 9:16 AM?
4:18 AM
How many minutes are there between 5:39 AM and 6:18 AM?
39
How many minutes are there between 8:38 PM and 5:55 AM?
557
How many minutes are there between 3:49 PM and 9:48 PM?
359
What is 270 minutes before 2:24 PM?
9:54 AM
How many minutes are there between 7:11 PM and 6:29 AM?
678
What is 480 minutes after 5:13 PM?
1:13 AM
How many minutes are there between 2:00 PM and 4:47 PM?
167
How many minutes are there between 3:37 PM and 12:01 AM?
504
What is 443 minutes before 11:46 PM?
4:23 PM
What is 12 minutes after 6:15 AM?
6:27 AM
How many minutes are there between 8:08 AM and 11:19 AM?
191
How many minutes are there between 2:50 AM and 2:27 PM?
697
How many minutes are there between 6:40 PM and 5:00 AM?
620
How many minutes are there between 7:11 PM and 8:41 PM?
90
What is 156 minutes after 3:23 AM?
5:59 AM
What is 374 minutes after 5:05 PM?
11:19 PM
What is 286 minutes before 5:39 AM?
12:53 AM
What is 493 minutes after 8:02 PM?
4:15 AM
What is 298 minutes before 8:59 PM?
4:01 PM
How many minutes are there between 12:16 AM and 3:33 AM?
197
What is 689 minutes after 7:55 PM?
7:24 AM
How many minutes are there between 4:08 AM and 10:52 AM?
404
What is 152 minutes after 8:19 AM?
10:51 AM
How many minutes are there between 11:58 AM and 12:54 PM?
56
What is 289 minutes before 9:12 AM?
4:23 AM
How many minutes are there between 11:53 PM and 6:27 AM?
394
How many minutes are there between 4:53 PM and 1:18 AM?
505
What is 470 minutes after 11:33 PM?
7:23 AM
How many minutes are there between 9:55 AM and 12:19 PM?
144
How many minutes are there between 6:16 AM and 4:27 PM?
611
How many minutes are there between 5:24 AM an
|
{
"pile_set_name": "DM Mathematics"
}
|
1001010001011
In base 3, what is 200 - -20112221200?
20112222100
In base 12, what is 0 - 51428?
-51428
In base 9, what is 13634 + -33?
13601
In base 7, what is 166025 - 31?
165664
In base 3, what is 222122002 + -121?
222121111
In base 11, what is 412 - 926?
-514
In base 5, what is 2200 - 340?
1310
In base 11, what is -24 + -213?
-237
In base 15, what is -20 + -77d9?
-7809
In base 13, what is -28 - 60c8?
-6123
In base 16, what is 99ce - 3?
99cb
In base 16, what is -7 - -6a6d?
6a66
In base 7, what is 2433 - -2?
2435
In base 13, what is a - c3c?
-c32
In base 8, what is 716 - -361?
1277
In base 9, what is 2735 - -3?
2738
In base 5, what is -102211 - -3?
-102203
In base 8, what is -16 - -5362?
5344
In base 11, what is -3 - 34135?
-34138
In base 8, what is 103123 + -2?
103121
In base 16, what is -f + -76e?
-77d
In base 15, what is -4 - 1022?
-1026
In base 15, what is -6dc - 363?
-a50
In base 7, what is -2614 + -13?
-2630
In base 9, what is -200423 + 8?
-200414
In base 10, what is -3 - -390681?
390678
In base 6, what is 241040 - 0?
241040
In base 16, what is -bb - 43?
-fe
In base 12, what is 0 - 12763?
-12763
In base 11, what is 221 - -484?
6a5
In base 16, what is c4cea - -1?
c4ceb
In base 13, what is -458a - 4?
-4591
In base 16, what is f + 103?
112
In base 16, what is 9 + -136d?
-1364
In base 4, what is 23220103131 + -2?
23220103123
In base 6, what is -15045 - -111?
-14534
In base 7, what is -13 + -622662?
-623005
In base 5, what is 3133 - 11404?
-3221
In base 4, what is 3031 - 1230?
1201
In base 9, what is 1 + -18682?
-18681
In base 5, what is 434242 + 42?
434334
In base 15, what is -1e - 29e?
-2bd
In base 14, what is 4 + 16259?
1625d
In base 7, what is -21 - 1553012?
-1553033
In base 8, what is 60 - -6642?
6722
In base 4, what is -112 - 12100?
-12212
In base 8, what is -21 + -61062?
-61103
In base 13, what is 3aa - -190?
56a
In base 14, what is 3 + -7148?
-7145
In base 8, what is -14771210 - 5?
-14771215
In base 5, what is -102 - -143321?
143214
In base 3, what is -1211 - 22121?
-101102
In base 10, what is 0 - -140?
140
In base 16, what is -79 + -130f?
-1388
In base 15, what is -2253c + 3?
-22539
In base 15, what is 224b7 + 1?
224b8
In base 10, what is -1376 - 31?
-1407
In base 4, what is 3 + -1310331?
-1310322
In base 5, what is -2 + -4222020?
-4222022
In base 10, what is -8 + 3541?
3533
In base 16, what is -3 - 31b9?
-31bc
In base 13, what is -1a5 + -19?
-1c1
In base 9, what is -16 + 8223?
8206
In base 7, what is -5 - 15455?
-15463
In base 10, what is 11328 + -344?
10984
In base 12, what is 972 + 66b?
1421
In base 15, what is 24d0 + 50?
2530
In base 15, what is -32800 - 1?
-32801
In base 8, what is 6 - 327364?
-327356
In base 10, what is 610 - -10?
620
In base 11, what is 31a1 + 1?
31a2
In base 2, what is 0 + 1000011111101101?
1000011111101101
In base 4, what is 11 + 322222323?
322223000
In base 7, what is 36 + 15021?
15060
In base 2, what is -1111110101101100111000 - -100?
-1111110101101100110100
In base 16, what is -1 + -1423?
-1424
In base 3, what is 2 - -1102210010?
1102210012
In base 14, what is -5689a - -4?
-56896
In base 14, what is 3 + -5b930?
-5b92b
In base 14, what is -28a032 - 5?
-28a037
In base 11, what is -25 - 10?
-35
In base 9, what is 3 + 32106?
32110
In base 2, what is 101 + 10010111101101?
10010111110010
In base 14, what is 112d2 + 36?
11328
In base 14, what is -3db - ad9?
-10d6
In base 7, what is 100 + 603?
1003
In base 11, what is 43a - 422?
18
In base 12, what is -92b - 17?
-946
In base 11, what is 51994 - 0?
51994
In base 14, what is b0 - -110?
1c0
In base 13, what is -1478a2 + -1?
-1478a3
In base 8, what is -1 + 26411?
26410
In base 6, what is 5 + -120353?
-120344
In base 2, what is 111 - -10010101101000110001?
10010101101000111000
In base 12, what is 3a5358 + -3?
3a5355
In base 14, what is dad12 - -1?
dad13
In base 10, what is 107918 + 2?
107920
In base 16, what is -e4 - 17f4?
-18d8
In base 6, what is 4124151 + -3?
4124144
In base 6, what is -422 - 5123?
-5545
In base 12, what is 36 + -191?
-157
In base 15, what is -1697 - 1?
-1698
In base 16, what is 1 + 920d?
920e
In base 9, what is -7653 - -16?
-7636
In base 5, what is 2 + 231113?
231120
In base 11, what is 20876 - -5?
20880
In base 13, what is -3b - -478?
43a
In base 10, what is 0 - 7251?
-7251
In base 8, what is -1502 + -344?
-2046
In base 12, what is -318 + 80?
-258
In base 15, what is -1264 - e?
-1273
In base 9, what is -7 - -18482?
18474
In base 7, what is 343113 + 0?
343113
In base 11, what is -27 - -1700?
1684
In base 13, what is -1742a - -2?
-17428
In base 12, what is -11240 + 31?
-1120b
In base 5, what is 11440 + 1200?
13140
In base 4, what is -331 + 33200?
32203
In base 14, what is -41c + -1c0?
-5dc
In base 13, what is -1c3 - c2?
-2b5
In base 11, what is -6 - 81315?
-81320
In base 16, what is d589 - -19?
d5a2
In base 16, what is 38b - -6?
391
In base 11, what is -2 - -20074?
20072
In base 15, what is 1a417a + 3?
1a417d
In base 7, what is -3363010 - 4?
-3363014
In base 6, what is 1 + 10012434?
10012435
In base 6, what is 5315144 + -51?
5315053
In base 14, what is 2 + -7b31c?
-7b31a
In base 12, what is 166 + -b5?
71
In base 14, what is 357a9 + 3?
357ac
In base 4, what is 20 + 23000303?
23000323
In base 7, what is 14 - 1054546?
-1054532
In base 8, what is 16615 - 5?
16610
In base 11, what is 2513 + 336?
2849
In base 2, what is -11 - 10010111111011010?
-10010111111011101
In base 4, what is -10 + 3133102?
3133032
In base 13, what is -69163 + 7?
-69159
In base 12, what is 60a + 195?
7a3
In base 3, what is -1120211 + -122?
-1121110
In base 12, what is -4350 + 3?
-4349
In base 11, what is 6 - 6871?
-6866
In base 5, what is 1021 - -12213?
13234
In base 5, what is 1224433 - 113?
1224320
In base 7, what is 5 + -1245323?
-1245315
In base 8, what is -11 + 621500?
621467
In base 7, what is 4 + -14124?
-14120
In base 9, what is 71 - -344?
425
In base 3, what is 110110210 - -201?
110111111
In base 4, what is -121 - 23130133?
-23130320
In base 16, what is -97074f + -5?
-970754
In base 16, what is -26d9 - -1b?
-26be
In base 14, what is 1417 - -5?
141c
In base 16, what is 3 - 1e36f?
-1e36c
In base 14, what is 6691 - -c?
669d
In base 13, what is -18 - -703a5?
7038a
In base 6, what is 0 + 242124?
242124
In base 12, what is 2 - 5683b?
-56839
In base 10, what is 15 + -2015?
-2000
In base 9, what is -184 + -11074?
-11268
In base 10, what is 0 - 2285?
-2285
In base 5, what is -2031 - 3?
-2034
In base 12, what is 6 - 46b0?
-46a6
In base 3, what is 100120 + 10100000?
10200120
In base 4, what is 231 - 10302?
-10011
In base 15, what is -17e22 - -d?
-17e14
In base 13, what is 5 - 557b?
-5576
In base 4, what is 211233 - -31?
211330
In base 8, what is 120257 + 0?
120257
In base 10, what is 619 + -662?
-43
In base 14, what is -33a - 25b?
-597
In base 9, what is 202 - -48?
251
In base 13, what is -1c + 451?
432
In base 13, what is -3b6ba + -1?
-3b6bb
In base 2, what is 101100 - 11011100111?
-11010111011
In base 13, what is 6b5 - -50?
735
In base 11, what is 109 + -2?
107
In base 9, what is -827 - 44?
-872
In base 2, what is -10110100 - -1011110001001?
1011011010101
In base 9, what is -3467 - 22?
-3500
In base 5, what is 33310242 - 2?
33310240
In base 8, what is -10770 - 111?
-11101
In base 10, what is -9120 - 8?
-9128
In base 15, what is 9 + -de3b?
-de32
In base 16, what is 36e - 3c?
332
In base 6, what is -321 - -14022?
13301
In base 16, what is -3d9d - 6?
-3da3
In base 11, what is 1a93 + -a2?
19a1
In base 3, what is -121110200 + 111?
-121110012
In base 2, what is -110000 - 1010000011101?
-1010001001101
In base 4, what is -111302 - -102?
-111200
In base 3, what is 10202222 + 1112?
10211111
In base 10, what is -1 + -124105?
-124106
In base 10, what is 0 + -13668?
-13668
In base 15, what is b + 5c1b?
5c27
In base 15, what is 97 - -219?
2b1
In base 13, what is 3a22c - 2?
3a22a
In base 2, what is -100110001011011 + -110?
-100110001100001
In base 6, what is -235 - 13153?
-13432
In base 9, what is 46 - -4851?
5007
In base 13, what is -4347 - 0?
-4347
In base 3, what is -102 - 10012222?
-10020101
In base 13, what is 17c3 - -139?
192c
In base 2, what is -11 + -1100010011011010101?
-1100010011011011000
In base 16, what is 3b + -53c?
-501
In base 4, what is 1 - 10123003?
-10123002
In base 8, wh
|
{
"pile_set_name": "DM Mathematics"
}
|
*4 + 52*u - 6*u**4 - 180*u**2 - 16 + 60*u - 35*u**h - 77*u**3.
4*(u - 1)*(u + 1)*(7*u - 2)**2
Let d(p) be the first derivative of 2/3*p**3 - p - 1/2*p**2 - 1/2*p**4 - 1/30*p**6 + 1/5*p**5 + 5. Let v(j) be the first derivative of d(j). Solve v(u) = 0.
1
Let k(i) be the first derivative of -2*i**6/15 - 8*i**5/5 - 6*i**4 - 32*i**3/3 - 10*i**2 - 24*i/5 + 16. Find f, given that k(f) = 0.
-6, -1
Factor 5/2*m - 1/8*m**2 + 21/8.
-(m - 21)*(m + 1)/8
Let h(t) be the first derivative of 19 + 0*t**3 + 0*t**2 - 1/30*t**6 + 0*t**5 + 0*t + 1/20*t**4. What is x in h(x) = 0?
-1, 0, 1
Let m be 2*(-20)/8 - -10. Find a such that 8 + 10*a - 1 - m*a**2 - 7 - 5 = 0.
1
Let w be 24/616 - 2/(-14). Determine x, given that 0*x**2 + 0 + w*x**3 + 0*x + 2/11*x**4 = 0.
-1, 0
Factor -2/13*b**3 + 48/13*b + 20/13*b**2 + 0.
-2*b*(b - 12)*(b + 2)/13
Let c(q) be the first derivative of -2*q**6/15 + 3*q**5/5 - q**4 + 2*q**3/3 - 10*q + 11. Let x(u) be the first derivative of c(u). Let x(p) = 0. Calculate p.
0, 1
Let w(h) be the first derivative of h**3/3 + h**2/2 - 2. Let v(t) = -t**3 + 13*t**2 - 47*t + 64. Let k(s) = -3*v(s) + 3*w(s). What is q in k(q) = 0?
4
Suppose 79*u - 84*u = -10. Suppose 2*w + 8*w = u*w. Find r, given that -4/5*r**5 - 4/5*r + 0 + w*r**2 + 0*r**4 + 8/5*r**3 = 0.
-1, 0, 1
Let a be (-3)/((-21)/(-4)) + 27864/4515. Factor -12/5*p**3 - a*p**2 - 6/5 + 2/5*p**5 + 2/5*p**4 - 22/5*p.
2*(p - 3)*(p + 1)**4/5
Let b = 99 - 87. Suppose 29*z - 33*z = -b. Let 0 + 4/3*h**2 + 0*h + 10/3*h**z = 0. Calculate h.
-2/5, 0
Find w, given that -4*w**2 - w**2 + 20 + 20072*w - 20087*w = 0.
-4, 1
Suppose -3*f = -j - 4*j + 66, -3*f = -3*j + 66. Let h = -18 - f. Find g such that -9*g**2 + 6*g**4 + g**2 + 4*g**5 + 20*g**3 - 22*g**h = 0.
0, 1, 2
Let r(j) be the third derivative of j**6/160 - j**5/20 + 5*j**4/32 - j**3/4 + j**2 - 83. Factor r(b).
3*(b - 2)*(b - 1)**2/4
Solve -16/13*h - 4/13*h**2 + 10/13*h**3 - 2/13*h**4 + 0 = 0 for h.
-1, 0, 2, 4
Let w(r) be the third derivative of 0*r + 13*r**2 + 1/12*r**5 + 0 - 5/3*r**3 - 5/24*r**4. Let w(x) = 0. What is x?
-1, 2
Factor -10/3*q**2 - 2/3*q**3 + 26/3*q - 14/3.
-2*(q - 1)**2*(q + 7)/3
Let f(d) be the third derivative of -22*d**2 - 1/12*d**5 + 0*d + 0*d**4 + 0 + 10/3*d**3. Factor f(h).
-5*(h - 2)*(h + 2)
Let r(q) = 4*q**3 - 69*q**2 - 59*q - 7. Let n(f) = -2*f**3 + 33*f**2 + 29*f + 3. Let z(v) = 7*n(v) + 3*r(v). Solve z(w) = 0.
-1, 0, 13
Let i = 46176/17 + -2716. What is h in -i*h**4 - 2/17*h**5 + 0 + 0*h + 0*h**2 + 0*h**3 = 0?
-2, 0
Let c(z) = z**2 + z + 1. Let t(p) = -3*p**2 - 2*p + 14. Let u(h) = h**2 + h - 5. Let b(j) = 6*t(j) + 17*u(j). Let g(x) = 2*b(x) - 2*c(x). Factor g(o).
-4*(o - 1)**2
Suppose 1/4*c**2 + 21/2 + 43/4*c = 0. Calculate c.
-42, -1
Let p = 21/2 - 313/30. Let h(q) be the third derivative of -1/30*q**4 + 0 - 4*q**2 + 0*q + p*q**3 + 1/150*q**5. Factor h(u).
2*(u - 1)**2/5
Determine f so that -204*f**2 + 3*f**5 - 51*f**3 + 62*f + 13*f**4 + 74 - f**4 + 118 - 14*f = 0.
-4, -1, 1, 4
Suppose -4*i - s = -5, 6*i - 3*s + 15 = -0*s. Let f(c) be the second derivative of -1/24*c**3 - 1/80*c**5 + 1/24*c**4 + i + 0*c**2 + 5*c. What is j in f(j) = 0?
0, 1
Factor -222*o**2 - 20 + 0*o**3 + 218*o**2 + 26*o - 2*o**3.
-2*(o - 2)*(o - 1)*(o + 5)
Suppose 1 = 5*h - 19. Suppose a - h*r - 7 = 4*a, 4*a - 28 = 4*r. Factor 3*g**2 + 218*g - 218*g - a*g**4.
-3*g**2*(g - 1)*(g + 1)
Let h(l) = 3*l**3 + 41*l**2 + 4*l - 132. Let i(a) = 2*a**3 + 27*a**2 + 2*a - 88. Let b(p) = 5*h(p) - 8*i(p). Determine o so that b(o) = 0.
-11, -2, 2
Let s(t) = -3*t**2 + 3*t + 11. Suppose -4*p + 8 = -0*p. Let l(f) = 3*f + p*f**2 - 11*f**2 + 6 + 6 + 6*f**2. Let j(a) = 5*l(a) - 6*s(a). Factor j(d).
3*(d - 2)*(d + 1)
Suppose -3*m - 6 + 30 = 0. Let y(v) = 5*v**3 + 18*v + v**4 + v**4 - 3*v**4 + 18*v**2 + m. Let d(h) = -h**4 - h**3 - h. Let l(k) = -2*d(k) + y(k). Factor l(u).
(u + 1)*(u + 2)**3
Let x(u) = -4*u**3 + 4*u**2 - 8. Let m(c) = -c**3 - c - 2. Let q(l) = 20*m(l) - 4*x(l). Solve q(g) = 0 for g.
-2, -1
Suppose -17*q - 3*q = 4480. Let n be q/(-98) - 2*(-2)/(-14). Determine m, given that -1/6*m**4 - 1/3*m + 1/3*m**3 + 0 + 1/6*m**n = 0.
-1, 0, 1, 2
Let r(o) be the second derivative of 121*o**4/54 - 748*o**3/9 + 1156*o**2 + 142*o + 2. What is d in r(d) = 0?
102/11
Let b = 27 + -25. Let u(y) be the first derivative of 0*y**3 + 0*y + 5 + 1/14*y**4 - 1/7*y**b. Find g, given that u(g) = 0.
-1, 0, 1
Suppose 3*m - 3 = m + w, -3*w = -3*m. Factor 15*d**m - 23*d**4 - 30*d**4 - 6 + 21*d - 27*d**2 + 50*d**4.
-3*(d - 2)*(d - 1)**3
Let h be ((-1)/(5/(-4)))/((-118)/6195*-273). Factor -h*b**2 + 40/13*b - 200/13.
-2*(b - 10)**2/13
Let g(b) be the first derivative of 2*b**3/27 - 182*b**2/9 + 16562*b/9 - 792. Solve g(f) = 0.
91
Let r be (-20)/8 - (-13)/2. Factor 3*b + 9*b + r*b**3 + 4 + 187*b**2 - 175*b**2.
4*(b + 1)**3
Let a(m) be the second derivative of 5*m**7/42 - 4*m**6/3 + 13*m**5/4 + 65*m**4/6 - 160*m**3/3 + 80*m**2 - 74*m + 1. Determine b so that a(b) = 0.
-2, 1, 4
Let r(a) be the first derivative of -a**3/6 - 13*a**2/4 - 20*a + 58. Find j, given that r(j) = 0.
-8, -5
Let q(p) = p**2 - 7*p + 7. Let u(w) = 3*w - 3. Let c(a) = 2*q(a) + 5*u(a). Let h(z) = z**2 + z. Let g(m) = 5*c(m) - 15*h(m). Factor g(i).
-5*(i + 1)**2
Let c(x) be the second derivative of -x**6/6 + 3*x**5/4 - 5*x**4/12 - 5*x**3/2 + 5*x**2 + 2*x + 90. Let c(n) = 0. What is n?
-1, 1, 2
Let d = -163 + 166. Let x be 2/d*(-6)/(-18). Find g, given that -2/9*g**4 + 0*g**3 + 0 + x*g**5 + 0*g + 0*g**2 = 0.
0, 1
Factor 25 + 19*l**2 - 225 + 23*l**2 - 39*l**2 + 599*l.
(l + 200)*(3*l - 1)
Let v be ((-8)/(-16))/(1/2). Let r be 16 + -9 - 1/v. What is h in 0*h - h + 4*h - r + 3*h**2 = 0?
-2, 1
Let a(j) = -289*j - j**2 + 5 - 4 + 290*j. Let p(m) = 2*m**3 + 4*m**2 + 2*m + 2. Let z(u) = -4*a(u) + 2*p(u). Let z(b) = 0. What is b?
-3, 0
Let o(t) = 12 + 12 - 3*t - 3 + 3*t**2. Let x(k) = k**2 - k + 10. Let w = -33 + 24. Let u(r) = w*x(r) + 4*o(r). Factor u(p).
3*(p - 2)*(p + 1)
Factor -1/3 + 97/6*v**2 + 95/6*v.
(v + 1)*(97*v - 2)/6
Let b(o) = -375*o**5 + 915*o**4 - 705*o**3 + 192*o**2 + 30*o + 15. Let d(m) = -m**4 - m**3 - 2*m - 1. Let j(k) = b(k) + 15*d(k). Solve j(h) = 0.
0, 4/5
Solve -14/13*o**4 + 2/13*o**5 - 66/13*o**3 + 1176/13 + 1232/13*o + 262/13*o**2 = 0.
-3, -2, 7
Factor -94/11*o + 10/11*o**2 + 84/11.
2*(o - 1)*(5*o - 42)/11
Let j(n) be the second derivative of -23*n**4/16 + 21*n**3/8 + 3*n**2/4 + 271*n. Solve j(x) = 0.
-2/23, 1
Let t(j) be the first derivative of 1/40*j**5 + 3*j - 5 - 1/8*j**4 - 1/4*j**2 + 1/4*j**3. Let f(l) be the first derivative of t(l). Factor f(a).
(a - 1)**3/2
Let p(j) be the second derivative of j**7/126 + j**6/90 - j**5/30 - j**4/18 + j**3/18 + j**2/6 - 2*j + 39. Suppose p(n) = 0. What is n?
-1, 1
Suppose -4*c + 16 = 3*d, -3*d + 8*c = 3*c - 7. Solve -80*v**2 + 96*v**2 - d*v**3 + 0*v**3 - 8*v - 4*v = 0 for v.
0, 1, 3
Let p(d) be the second derivative of 0 - 10*d + 1/12*d**4 - 1/6*d**3 + 0*d**2. Factor p(l).
l*(l - 1)
Factor 4/7*g**4 - 2/7*g**5 - 72/7*g + 22/7*g**3 + 0 - 24/7*g**2.
-2*g*(g - 3)**2*(g + 2)**2/7
Let r(t) = 4*t**3 - 15 - 5 - 19*t - 5*t. Let n(s) = -s - s + 4*s - s + 1. Let x(b) = -20*n(b) - r(b). Factor x(p).
-4*p*(p - 1)*(p + 1)
Let n(k) be the second derivative of 4/15*k**2 - 26*k - 1/3*k**3 + 2/9*k**4 + 0*k**6 - 1/15*k**5 + 1/315*k**7 + 0. Factor n(a).
2*(a - 1)**4*(a + 4)/15
Let w(h) be the second derivative of -h**7/28 + 7*h**6/20 - 51*h**5/40 + 17*h**4/8 - 3*h**3/2 - h + 31. Suppose w(y) = 0. What is y?
0, 1, 2, 3
Let w = 14 - 10. Let i be 2 + 36/(-21) - (-520)/91. Factor 32*s**3 - w*s - 29*s**3 + 0*s**4 - 4*s**2 + i*s**4 + s**5 - 2*s**4.
s*(s - 1)*(s + 1)*(s + 2)**2
Let u(p) be the third derivative of p**7/126 - p**6/12 - 3*p**5/4 - 5*p**4/18 + 10*p**3 + 327*p**2 - 2*p. Factor u(x).
5*(x - 9)*(x - 1)*(x + 2)**2/3
Suppose 5*k = 2*k. Let m be (-2 - k) + 17 + 3. Solve 6*a + 8 - m*a + 2 + 2 - 45*a**2 = 0.
-2/3, 2/5
Suppose 43*j - 10 + 42 - 161 = 0. Find h such that 3/2 + 3/8*h**4 - 21/8*h**j + 45/8*h**2 - 39/8*h = 0.
1, 4
Let t(v) = -18*v**3 + 56*v**2 + 840*v + 2322. Let x(n) = 2*n**3 + 2*n**2 + n - 1. Let z(f) = -2*t(f) - 20*x(f). Factor z(w).
-4*(w + 4)*(w + 17)**2
Let r(i) = 6*i**3 + 9*i**2. Suppose l + 3 = z, 3*l - l + 3 = -z. Let y(k) = -k**3. Let a(c) = z*r(c) + 9*y(c). Factor a(g).
-3*g**2
|
{
"pile_set_name": "DM Mathematics"
}
|
mes -0.5?
-0.1931
216 * 0.75
162
Calculate -0.0182*3.3.
-0.06006
-95.57*-0.04
3.8228
What is the product of 60.5 and 119?
7199.5
-404 * 475
-191900
2.31382 * 0.2
0.462764
Calculate 0.2*21957.
4391.4
Calculate 14916*0.03.
447.48
Calculate 0.1619*34.
5.5046
702.76 * 0.13
91.3588
Calculate 0.07*-11.621.
-0.81347
-0.39 times -0.1291
0.050349
0.3*3.791
1.1373
-3 * -0.003813
0.011439
Calculate 0.16*0.931.
0.14896
Work out 0.1997 * 0.08.
0.015976
What is the product of -428 and 2790?
-1194120
What is 4623 times 0.5?
2311.5
Work out -4.8889 * 0.067.
-0.3275563
0.18 times -202659
-36478.62
Multiply -8 and 26.42.
-211.36
Calculate 2*0.039742.
0.079484
0.0445*35
1.5575
-461.7*-0.2
92.34
Product of -28233.6 and 0.5.
-14116.8
Multiply 3.22 and -0.1466.
-0.472052
-136411 times 33
-4501563
Multiply -2455 and 40.
-98200
What is 4 times -435?
-1740
-119 times -12250
1457750
What is 0.131 times -19.1?
-2.5021
Work out 274 * 433.
118642
-4 * 614665
-2458660
2265 times 1.37
3103.05
-121*0.06977
-8.44217
Multiply 5 and 501729.
2508645
Work out 0.3 * 54827.
16448.1
What is -0.06497 times 0.7?
-0.045479
15.4 times 7.1
109.34
Calculate 24*9.29.
222.96
What is -158 times 927.6?
-146560.8
Multiply 8394 and -55.
-461670
Work out 39 * 0.28.
10.92
Calculate 3342*-0.0125.
-41.775
810 times 0.0261
21.141
Multiply 158921 and 0.014.
2224.894
What is 0.38 times 2449?
930.62
Multiply 2.2 and 16083.
35382.6
What is the product of 34604 and -1?
-34604
What is the product of -28 and 92585?
-2592380
-1*12236
-12236
Product of -1 and -28031.
28031
What is the product of -4 and -27.802?
111.208
Work out -4 * -0.0530276.
0.2121104
-1946 * -1215
2364390
762.1 times 94
71637.4
320.3 times -18
-5765.4
Work out 5957 * -14.
-83398
Calculate -1.2926*-132.
170.6232
0.05 times 11492
574.6
69906 times 3
209718
What is 19 times 3943?
74917
-1*-0.64931
0.64931
-3886 times 74
-287564
-77 times 684
-52668
What is 86388 times -2.1?
-181414.8
Multiply 19.1541 and 4.
76.6164
Multiply -2.2327 and 46.
-102.7042
Multiply 9 and -3369.
-30321
Product of 0.5 and 22.4.
11.2
Work out -266 * -48.
12768
274 * -1.71
-468.54
Product of 25 and 0.4536.
11.34
What is -334 times -1?
334
Calculate -17.985*-0.4.
7.194
Product of -2373481 and 4.
-9493924
-4.3983*1.8
-7.91694
1133685 * -0.3
-340105.5
Work out -94 * -14.81.
1392.14
Multiply 0.8 and 2.4557.
1.96456
2*-0.5146
-1.0292
What is the product of 1.1059 and 3?
3.3177
-418418 times 0.4
-167367.2
-0.0882*0.109
-0.0096138
What is -0.2 times 12.243?
-2.4486
Product of -0.0771 and 1.25.
-0.096375
What is the product of 3456.64 and -5?
-17283.2
Multiply -4 and -1.3296.
5.3184
-11915 * -40
476600
Calculate 10*-20580.
-205800
-0.4335 * 0
0
Calculate -1*5767.97.
-5767.97
Multiply 449012 and -2.
-898024
Multiply 3594 and 265.
952410
-11 times 8731
-96041
What is the product of -19.58 and 2.1?
-41.118
Calculate 0*-0.18837.
0
Product of -0.5 and -5987.5.
2993.75
-7*181797
-1272579
What is 18 times -53726?
-967068
Calculate -14.1*2477.1.
-34927.11
What is the product of -870.3 and 0.118?
-102.6954
Calculate 1.2*-1932.
-2318.4
-0.0167937 * -2
0.0335874
What is the product of 999 and -83?
-82917
What is the product of 75440 and -2?
-150880
-29482 times 5
-147410
189 * -37
-6993
0.163473*-0.1
-0.0163473
-200*0.15
-30
Product of 21468 and -0.1.
-2146.8
Work out 6.97 * -2.2.
-15.334
Multiply -259 and 2211.
-572649
-0.09895*-0.05
0.0049475
Calculate 0.17*-0.24051.
-0.0408867
0.003 * 527
1.581
-1.4*1.94
-2.716
What is 2750 times 0.51?
1402.5
Work out -38 * -321.
12198
-464.31 times 9
-4178.79
Product of 0.15 and 290.
43.5
Product of -5 and -20530.
102650
0.3 times -13230
-3969
Multiply -1148 and -13.9.
15957.2
Work out -0.1961 * 0.816.
-0.1600176
Product of 2380 and 11.5.
27370
-1315*-78
102570
Multiply 2327 and -0.54.
-1256.58
Work out 1.86 * -5631.
-10473.66
0.07 * -261251
-18287.57
Calculate 2*-0.043667.
-0.087334
Calculate -0.6*-91.9.
55.14
Product of 0.5 and -323603.
-161801.5
-5177*-5.4
27955.8
Calculate -357390*0.9.
-321651
-267.6596 * 0.5
-133.8298
Product of 6545 and 31.
202895
-4 times -59805
239220
Work out 12326 * -0.3.
-3697.8
What is the product of -691.715 and 2?
-1383.43
5*0.37506
1.8753
What is 922 times 4901?
4518722
What is -0.429 times 1175?
-504.075
-18.5 * 1329.6
-24597.6
What is the product of 4 and 14300.2?
57200.8
Calculate -0.3*-0.030226.
0.0090678
What is 162 times 11.163?
1808.406
-1072 * -1
1072
Calculate 0.57*10.9.
6.213
451843 * -3
-1355529
What is the product of 205.587 and 0.1?
20.5587
Multiply -31.7 and -0.259.
8.2103
Product of -1 and -229.29.
229.29
Work out -1 * -8718.
8718
Calculate -28*-5796.
162288
What is -4856 times -0.4?
1942.4
Product of 0.64 and 3.273.
2.09472
What is the product of -9 and 21098?
-189882
Product of -0.4 and 97653.5.
-39061.4
What is the product of 229 and 93?
21297
Work out -0.29014 * 78.
-22.63092
Multiply -1.19 and 0.4873.
-0.579887
4*-4692.39
-18769.56
-3 times -29552.3
88656.9
Product of -617144 and 0.6.
-370286.4
0.316*169
53.404
Work out -3722 * 5.
-18610
Product of 0.02 and -70235.
-1404.7
0 * -290716
0
Work out -8 * 25.52.
-204.16
-0.00593386*-3
0.01780158
Work out -3 * 4089.
-12267
Calculate -191*-43.
8213
-0.72*-33.2
23.904
-0.2 times -0.07513
0.015026
Work out 5 * 41942.
209710
-1732 * -14
24248
What is the product of -2087 and 8?
-16696
-2 * 0.067462
-0.134924
Multiply -0.3503 and -3.
1.0509
0.505 * 0.0347
0.0175235
-1.3205 * 0.01
-0.013205
Calculate -377*853.
-321581
Work out 1.6 * -213.
-340.8
Multiply -0.156 and 2.244.
-0.350064
4*-4346
-17384
What is the product of -0.08061 and 3?
-0.24183
What is the product of -0.033233 and 0.027?
-0.000897291
Calculate 5238*-26.
-136188
What is 0.845 times 14?
11.83
Work out 1.72325 * 0.01.
0.0172325
Product of -49500.9 and -3.
148502.7
What is 5 times 12.125?
60.625
262923*-0.2
-52584.6
What is the product of 0.1 and -15566?
-1556.6
10*-296.97
-2969.7
-108.3*-0.47
50.901
Product of 0.103231 and -0.5.
-0.0516155
Product of -1938 and 547.
-1060086
Multiply -2 and 39405.
-78810
Multiply 0.4 and -44775.
-17910
1974799*-0.2
-394959.8
Work out 1.531 * -124.
-189.844
Work out -6654.7 * -0.1.
665.47
Calculate 3*2.03359.
6.10077
Multiply 0.1 and -0.08784.
-0.008784
What is the product of -968 and 127.4?
-123323.2
Calculate 0.4*1.1556.
0.46224
Product of -47 and 13025.
-612175
Product of -1.4 and -192.074.
268.9036
1.6 * 0.4164
0.66624
Multiply -13.6785 and 0.3.
-4.10355
Calculate -2*0.10537.
-0.21074
Work out -0.0025 * -245.
0.6125
Work out 1096 * 2.31.
2531.76
Product of 22.373 and 0.08.
1.78984
What is the product of 47930 and -0.6?
-28758
0.3 times -60129
-18038.7
What is -8.2275 times -0.1?
0.82275
Calculate 14*-8569.
-119966
0.81149*1
0.81149
What is the product of -0.5 and -77282?
38641
What is the product of 6 and 2616.8?
15700.8
Work out -2 * -0.503.
1.006
-5 times -24.339
121.695
0.069 * 8997
620.793
36.1017 * -2
-72.2034
Work out 0.8806 * 0.018.
0.0158508
What is -286 times -0.011?
3.146
Work out 24.3 * -0.1518.
-3.68874
What is the product of 0.1 and 0.389709?
0.0389709
What is 3 times -51?
-153
What is the product of 4 and -50998?
-203992
Calculate 1435*-2.3.
-3300.5
What is 0.488 times 953?
465.064
-18747 times 37
-693639
0.051 times 42.19
2.15169
Work out -0.6 * -0.15991.
0.095946
Multiply 32 and -0.0875.
-2.8
Calculate -29368*1.08.
-31717.44
What is 14.12 times 0.66?
9.3192
Work out 3.565616 * -1.
-3.565616
-91482 times 3
-274446
Calculate 21645*0.08.
1731.6
What is 10759 times -6?
-64554
-9*-0.56878
5.11902
Work out -1089533 * -5.
5447665
What is 0.06 times 24268?
1456.08
What is -182529 times 0.3?
-54758.7
-1056 * 81
-85536
Product of 2.61 and -61.
-159.21
-2*8114
-16228
2.91 * 2.6
7.566
What is the product of -6406.21 and -0.4?
2562.484
Multiply -120.32 and -12.
1443.84
3198 * 44
140712
Multiply 16664 and -0.104.
-1733.056
Calculate -11863.8*-5.
59319
Calculate 98541*5.
492705
Multiply 88 and -8609.
-757592
Multiply 93.83 and -5.
-469.15
Calculate -2*163.18.
-326.36
4 times 5737.4
22949.6
Multiply -102 and 5.2.
-530.4
16 * 5291
84656
Multiply -11 and -0.805787.
8.863657
Product of -10 and -64.44.
644.4
Product of 0.492 and 0.057.
0.028044
-234.26 * -0.3
70.278
Multiply -0.10665 and 6.
-0.6399
Calculate 595057*4.
2380228
Product of -0.4 and 8.27332.
-3.309
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is prob of picking 1 s and 3 m?
4/495
What is prob of picking 3 a when three letters picked without replacement from aaavav?
1/5
Two letters picked without replacement from {c: 13, x: 3}. Give prob of picking 1 x and 1 c.
13/40
Two letters picked without replacement from {n: 4, h: 2, p: 1, c: 3}. What is prob of picking 1 n and 1 h?
8/45
Calculate prob of picking 2 i and 2 y when four letters picked without replacement from {e: 2, p: 1, y: 3, i: 1}.
0
What is prob of picking 1 a and 2 n when three letters picked without replacement from {n: 16, a: 2}?
5/17
Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {h: 3, a: 6, p: 9, d: 1}.
15/323
Four letters picked without replacement from {e: 13, y: 4, n: 3}. What is prob of picking 1 y, 2 e, and 1 n?
312/1615
What is prob of picking 2 p when two letters picked without replacement from kdzzdzzzkzzkzpzpd?
1/136
What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 5, j: 2}?
10/21
Three letters picked without replacement from ehuhhuheugeehueh. What is prob of picking 1 e, 1 g, and 1 h?
3/56
Two letters picked without replacement from fffznnmmzzzzafff. What is prob of picking 2 n?
1/120
What is prob of picking 1 m and 1 f when two letters picked without replacement from mrofy?
1/10
Four letters picked without replacement from {l: 4, g: 3}. What is prob of picking 4 g?
0
Two letters picked without replacement from {g: 2, x: 5}. What is prob of picking 1 x and 1 g?
10/21
Two letters picked without replacement from zzzwww. What is prob of picking 1 w and 1 z?
3/5
Two letters picked without replacement from emeyaml. Give prob of picking 1 l and 1 e.
2/21
Four letters picked without replacement from {u: 4, o: 2, a: 8, r: 1}. What is prob of picking 2 a and 2 u?
8/65
Two letters picked without replacement from {v: 7, r: 1, n: 3, f: 2, s: 3, y: 3}. Give prob of picking 1 n and 1 v.
7/57
Two letters picked without replacement from {t: 1, o: 1, k: 2, w: 2}. Give prob of picking 1 w and 1 k.
4/15
Two letters picked without replacement from rvjvrrrrrrtvvjr. Give prob of picking 1 r and 1 j.
16/105
Two letters picked without replacement from {j: 4, f: 1, e: 1, i: 3, d: 4, r: 2}. Give prob of picking 1 r and 1 f.
2/105
What is prob of picking 2 k and 1 o when three letters picked without replacement from kkqqqkkqkkkoqqkkqkqq?
3/76
Calculate prob of picking 3 f when three letters picked without replacement from {z: 15, f: 4}.
4/969
Two letters picked without replacement from vvyvyvyvvyvvvyvyvyv. Give prob of picking 2 v.
22/57
What is prob of picking 2 z, 1 y, and 1 a when four letters picked without replacement from zaaaayyaaaaayaaazayz?
52/1615
Three letters picked without replacement from {t: 4, k: 3}. What is prob of picking 3 k?
1/35
Calculate prob of picking 3 r when three letters picked without replacement from rfqqqrrzzqzzfzz.
1/455
What is prob of picking 2 d and 1 t when three letters picked without replacement from dutdrbrduurttrrutudd?
2/57
What is prob of picking 2 o and 1 p when three letters picked without replacement from oooooopooooooooooo?
1/6
What is prob of picking 1 d and 1 v when two letters picked without replacement from {u: 2, d: 2, o: 2, v: 3}?
1/6
Four letters picked without replacement from {h: 3, o: 4}. What is prob of picking 2 h and 2 o?
18/35
Three letters picked without replacement from {y: 1, a: 4, h: 1, t: 4, s: 3, e: 1}. Give prob of picking 1 a, 1 h, and 1 t.
4/91
What is prob of picking 1 e, 1 l, and 1 t when three letters picked without replacement from {n: 3, l: 1, q: 4, t: 7, e: 2}?
7/340
Four letters picked without replacement from {g: 3, l: 3, y: 1, i: 3}. Give prob of picking 2 g and 2 l.
3/70
Calculate prob of picking 2 m and 1 e when three letters picked without replacement from mmmssemsmsse.
1/11
What is prob of picking 3 p and 1 q when four letters picked without replacement from qppppqqqqqqpqppqpqpp?
80/323
Two letters picked without replacement from {r: 5, c: 2}. Give prob of picking 2 r.
10/21
What is prob of picking 1 m, 1 h, and 1 y when three letters picked without replacement from fjsjsssymshsj?
1/286
What is prob of picking 1 c, 2 z, and 1 p when four letters picked without replacement from ncjjpjpjzccncpnz?
3/455
Two letters picked without replacement from kjkeqqkkqqxkqk. Give prob of picking 1 j and 1 x.
1/91
Calculate prob of picking 1 c and 1 j when two letters picked without replacement from uqjrc.
1/10
Three letters picked without replacement from jjeeej. Give prob of picking 3 j.
1/20
Two letters picked without replacement from gwwwwggwgwgwwwwwwww. What is prob of picking 1 g and 1 w?
70/171
Three letters picked without replacement from eeeemmemeeeeeeeeemem. What is prob of picking 3 e?
91/228
What is prob of picking 1 f and 1 z when two letters picked without replacement from {z: 7, j: 8, f: 5}?
7/38
Two letters picked without replacement from hjhjqqqqjjhj. Give prob of picking 1 h and 1 j.
5/22
What is prob of picking 1 e, 1 m, and 1 b when three letters picked without replacement from bwmes?
1/10
Two letters picked without replacement from {u: 2, m: 5}. Give prob of picking 2 m.
10/21
Calculate prob of picking 3 f and 1 u when four letters picked without replacement from nnifjjnjanafaffnnuu.
2/969
What is prob of picking 1 y and 1 d when two letters picked without replacement from {r: 1, l: 2, d: 2, y: 4, s: 3, f: 3}?
8/105
Three letters picked without replacement from vvjvjjcjcvjv. What is prob of picking 1 v and 2 c?
1/44
Calculate prob of picking 2 y and 1 x when three letters picked without replacement from {g: 1, y: 1, x: 2, v: 1}.
0
What is prob of picking 2 k when two letters picked without replacement from mdgkkzhz?
1/28
Three letters picked without replacement from {w: 1, d: 4, c: 3, a: 2, i: 2}. What is prob of picking 1 d, 1 c, and 1 a?
6/55
Calculate prob of picking 1 s, 2 x, and 1 d when four letters picked without replacement from {s: 6, f: 3, x: 4, d: 1, r: 1}.
12/455
Four letters picked without replacement from {m: 8, k: 3}. What is prob of picking 1 m and 3 k?
4/165
Three letters picked without replacement from jkjjkkjvv. What is prob of picking 3 j?
1/21
Four letters picked without replacement from {v: 3, p: 8}. Give prob of picking 4 p.
7/33
Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {s: 2, w: 1, f: 1, j: 1, c: 1, i: 1}.
2/21
Calculate prob of picking 2 w when two letters picked without replacement from {v: 2, a: 6, w: 3, m: 2}.
1/26
Calculate prob of picking 1 t and 1 k when two letters picked without replacement from kptrz.
1/10
Three letters picked without replacement from xhhhphuhmqxhhh. What is prob of picking 1 q, 1 m, and 1 p?
1/364
What is prob of picking 4 k when four letters picked without replacement from tjhltttttvkkkjjkkkhl?
1/323
Two letters picked without replacement from {g: 13, i: 3, y: 4}. What is prob of picking 1 g and 1 i?
39/190
Three letters picked without replacement from {b: 6, u: 4}. What is prob of picking 3 u?
1/30
Three letters picked without replacement from ucccuccccc. What is prob of picking 2 u and 1 c?
1/15
Four letters picked without replacement from {d: 5, z: 7}. Give prob of picking 3 z and 1 d.
35/99
Three letters picked without replacement from {o: 1, x: 1, g: 12, z: 3, w: 1, i: 2}. Give prob of picking 1 o, 1 w, and 1 i.
1/570
What is prob of picking 2 u when two letters picked without replacement from iijdidijjdwuidijiui?
1/171
Two letters picked without replacement from wrrrwrrrrrwrrrwwrrrr. What is prob of picking 2 r?
21/38
Calculate prob of picking 2 f and 1 s when three letters picked without replacement from {f: 2, s: 2}.
1/2
Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {t: 1, a: 3, j: 3, q: 1, b: 5}.
5/26
What is prob of picking 3 d and 1 q when four letters picked without replacement from {d: 4, q: 3}?
12/35
Calculate prob of picking 4 j when four letters picked without replacement from {j: 6, g: 2}.
3/14
Three letters picked without replacement from {i: 4}. Give prob of picking 3 i.
1
What is prob of picking 3 i when three letters picked without replacement from {o: 1, k: 4, t: 3, a: 2, i: 7}?
7/136
Calculate prob of p
|
{
"pile_set_name": "DM Mathematics"
}
|
18. What is -6*k(b) + o(b)?
3*b**2 + 2*b - 12
Let o(s) = -5 - 2*s - 2 - 7*s + 6*s + 4*s + 2*s**2. Let m(u) = -u**3 + u**2 - 1. Calculate -m(z) - o(z).
z**3 - 3*z**2 - z + 8
Suppose -7*h = -5*h - 2*d + 14, -4*h - 4*d + 4 = 0. Let j(a) = -a**2 - a. Let m(s) = -15*s**2 - 5*s + 1. Determine h*j(l) + m(l).
-12*l**2 - 2*l + 1
Let i(t) = t + 4 + 3 - 3. Let h(j) = j. Let a(d) = d**2 + 8*d - 147. Let y be a(10). Suppose -3*c - y + 36 = -3*o, 3*o + 9 = -3*c. What is c*i(p) + 3*h(p)?
2*p - 4
Let l(t) = -3*t + 1. Let g(c) = -3*c + 2. Suppose 43*o + 16 = 3*n + 45*o, -4*n - 5*o + 19 = 0. What is n*g(f) - 7*l(f)?
3*f + 5
Let z(o) = 8*o + 4. Let c(t) = -3*t - 1. Let l(w) = 3*c(w) + z(w). Let k(v) = -v + 1. Let p be 4 - 2 - 0/4. Suppose 0 = a - p + 4. What is a*k(n) + l(n)?
n - 1
Let a(o) = 15*o**3 + 4*o**2 - 5*o + 5. Let y(x) = 14*x**3 + 5*x**2 - 6*x + 6. Let r be ((-10)/14)/((-13)/91). Calculate r*y(c) - 6*a(c).
-20*c**3 + c**2
Let i = 54 + -52. Suppose -i*m - r = 0, 4*m + 6 - 34 = 5*r. Let y(v) = -2*v + 352*v**2 + 4 - 354*v**2 + v. Let u(n) = -1. Give m*u(j) + y(j).
-2*j**2 - j + 2
Let p(l) be the second derivative of 0 - 18*l + 1/3*l**3 + 0*l**2. Let c(m) = -7*m + m**3 + 3*m + 2 - 1 + 2*m. Determine 2*c(t) + 3*p(t).
2*t**3 + 2*t + 2
Let u(n) = n + 1. Suppose 4*s + 12 = -3*b - 3, -4*b = 2*s + 10. Let g(d) = -8*d**2 + 3*d + 4. Determine b*g(c) + 4*u(c).
8*c**2 + c
Let v = 89 + -49. Let p(i) = -19*i - 34. Let z be p(-6). Let r(o) = v*o - z*o + 39*o. Let g(x) = -6*x + 3. What is g(a) - 4*r(a)?
-2*a + 3
Let r(c) = 2*c + 50. Let t(a) = 10*a + 251. Suppose 6*v = 51 + 7 + 8. Determine v*r(d) - 2*t(d).
2*d + 48
Let i = 1 - 5. Let m(b) = -10*b**3 - 4*b**2 + 4*b - 4. Let j(a) be the first derivative of 21*a**4/4 + 3*a**3 - 9*a**2/2 + 9*a + 493. What is i*j(v) - 9*m(v)?
6*v**3
Let m(u) = 2*u + 11. Let i(j) = 4*j - 12. Let k(z) = 3*i(z) + 4*m(z). Let g(d) be the first derivative of 5*d**2/2 + 2*d - 8. Determine -9*g(y) + 2*k(y).
-5*y - 2
Let a(w) = -436*w + 149. Let z(k) = -3051*k + 1107. Determine -15*a(o) + 2*z(o).
438*o - 21
Let u(d) = 24*d + 23*d - 122*d + 1 + 52*d + 24*d. Let y(s) = 7*s - 8. Determine -5*u(o) + y(o).
2*o - 13
Let h(i) = 3*i**2 - 62*i + 1. Let y(j) = 7*j**2 - 62*j + 2. Calculate -3*h(p) + 2*y(p).
5*p**2 + 62*p + 1
Let j(l) = 5*l**3 - 2*l**2 + 1234*l. Let v(f) = -11*f**3 + 4*f**2 - 2473*f. What is -9*j(c) - 4*v(c)?
-c**3 + 2*c**2 - 1214*c
Let z(b) = 1. Let w(k) = 86*k + 8. Let m(s) = -2*s**3 - 112*s**2 + 119*s + 284. Let a be m(-57). Determine a*w(o) + 8*z(o).
-86*o
Let a(i) = -29*i + 58. Let m(k) = -301. Let y(c) = -251. Let t(l) = -5*m(l) + 6*y(l). Determine -a(d) - 58*t(d).
29*d
Let u(s) = -1246*s**2 + 7476*s + 4984. Let h(p) = -p**2 + 3*p + 2. Calculate -2492*h(i) + u(i).
1246*i**2
Let p(y) = -y**2 - y. Let b(r) = 2*r - 352*r**2 - 7*r - r + 1 + 345*r**2 + r. Calculate -b(s) + 4*p(s).
3*s**2 + s - 1
Let g(o) = -246829960*o**3 - 115461*o + 115461. Let b(x) = -12827*x**3 - 6*x + 6. What is 38487*b(k) - 2*g(k)?
-12829*k**3
Let i(d) = -27*d**3 - 4*d**2 - 4*d. Let m(o) = -54*o**3 - 9*o**2 - 9*o. Suppose 4*b + 30 = -9*h + 7*h, 5*h + 3*b + 54 = 0. Determine h*i(g) + 4*m(g).
27*g**3
Let r(l) = 55*l**3 + 4*l**2 - 5. Let w(a) = 302*a + 4230. Let n be w(-14). Let x(v) = -27*v**3 - 2*v**2 + 2. What is n*r(z) + 5*x(z)?
-25*z**3 - 2*z**2
Let k(y) = -88*y**2 + 879*y. Let q(j) = 50*j**2 - 441*j. What is 3*k(a) + 5*q(a)?
-14*a**2 + 432*a
Let t(w) = -3*w**2 - 2*w. Let r(i) = -98*i**2 + 13*i + 1. Calculate -r(d) - 9*t(d).
125*d**2 + 5*d - 1
Let x(u) = 20*u. Let s(i) = -369*i + 22. Let t(a) = -75*a + 4. Let j(n) = -6*s(n) + 33*t(n). Give -2*j(w) - 27*x(w).
-18*w
Suppose 6*k - 5*s - 26 = 4*k - 3*s, 0 = -2*s. Let h(j) = -17*j**2 + 12*j + 6. Let q(v) = -8*v**2 + 6*v + 3. Calculate k*q(t) - 6*h(t).
-2*t**2 + 6*t + 3
Let u(o) = 66*o**3 + 33*o**2 + 31. Let r(w) = -132*w**3 - 69*w**2 - 64. Let y(q) = 2*r(q) + 5*u(q). Let p(x) = 5*x**3 + 2*x**2 + 2. What is -27*p(d) + 2*y(d)?
-3*d**3
Let z(w) = -2*w**3 + 5*w**2 - 5*w. Let n(h) = h**3 - h**2 + h. Let y(t) = -2*t**3 - 21*t**2 + 10*t + 199. Let c be y(-10). Determine c*z(k) - 5*n(k).
-3*k**3
Let q(j) = -56*j**2 + 20*j + 40. Let b(c) = -37*c**2 + 13*c + 25. Give 8*b(z) - 5*q(z).
-16*z**2 + 4*z
Let n(f) = -37*f**2 - f. Suppose -21*r - 582 = -624. Let w(m) = 110*m**2 + 3*m. What is r*w(g) + 7*n(g)?
-39*g**2 - g
Let k(z) = 4*z + 3. Let l be ((-6)/(-3) + 4 + -14)/(-3 + 1). Let i(s) = -s**3 + s. Determine l*i(v) - k(v).
-4*v**3 - 3
Let t(z) = -2*z**2 + 3*z + 23. Let v(f) = 2*f**2 - 3*f - 25. Give 4*t(g) + 5*v(g).
2*g**2 - 3*g - 33
Let y(n) = -n**3 - 4*n**2 + 2*n. Let g(c) = -10*c**2 + 3*c**2 - c**3 - c + 2*c + 3*c. Suppose 2*f + 9*k - 8*k = 2, 0 = 3*f + 4*k + 12. Give f*g(v) - 7*y(v).
3*v**3 + 2*v
Let x(h) = -6*h**2 - 9*h. Let g(v) = 72*v - 7425. Let d be g(103). Let n = 1 - -2. Let u(o) = -o + n*o - o + o**2. Determine d*u(q) - x(q).
-3*q**2
Let t(h) = 4 - 2*h**3 - 4*h**3 - 4*h + 5242*h**2 + 0*h**3 - 5274*h**2. Let u(m) = -7*m**3 - 31*m**2 - 5*m + 5. Give -5*t(q) + 4*u(q).
2*q**3 + 36*q**2
Let b(a) = 36*a**2 + 15*a. Suppose -10*n + 8*n = -2*w - 40, 0 = 5*w + 3*n + 84. Let u be w/4*640/(-192). Let c(p) = 5*p**2 + 2*p. Give u*c(y) - 2*b(y).
3*y**2
Let h(j) = 8*j**2 - 2*j. Let i(f) = -114*f**2 + 9*f + 3. What is 4*h(d) + i(d)?
-82*d**2 + d + 3
Let x(r) be the second derivative of -r**4/12 + 6349*r. Let u(l) = -4*l**2 + 25*l. Give -u(w) + 6*x(w).
-2*w**2 - 25*w
Let a(b) be the first derivative of 11*b**3/3 + 7*b**2/2 - 9*b + 111. Let x(z) = 17*z**2 + 11*z - 14. Let k = -21 - -29. Determine k*a(h) - 5*x(h).
3*h**2 + h - 2
Let r(o) be the first derivative of -17*o**3/3 - 11*o + 15149. Let b(u) be the second derivative of 2*u**4/3 + 5*u**2/2 + u. Calculate -13*b(z) - 6*r(z).
-2*z**2 + 1
Let v(q) = 7*q. Let d be 4/1*(-1)/2. Let z = 2 - d. Let m(o) = 391*o - 10193. Let x be m(26). Let c(b) = 48*b. Determine x*v(g) + z*c(g).
3*g
Let d(g) = -4821*g + 14. Let w(a) = -2*a + 14. What is d(k) - w(k)?
-4819*k
Let t(y) = -15409*y**3 + 30815*y**3 + 5*y + 5 - 15392*y**3 - 9*y**2. Let j(k) = -7*k**3 + 5*k**2 - 3*k - 3. Determine 5*j(s) + 3*t(s).
7*s**3 - 2*s**2
Let f(i) = 11*i + 13. Let q(x) = 5*x + 6. Let t(r) = -6*f(r) + 13*q(r). Let g = 1167 + -1168. Let z(m) = -2 - 4 + 8. Give g*z(p) - t(p).
p - 2
Let l(a) = -6*a - 2. Let u(z) be the second derivative of z**3/6 - z**2/2 + 454*z. Calculate l(h) + 5*u(h).
-h - 7
Let l(h) = 26*h**2 + 4*h - 3. Let f(b) = -b**3 + 2*b**2 + 67*b + 35. Let j be f(-7). Let u(a) = 9*a**2 + a - 1. What is j*u(g) - 2*l(g)?
11*g**2 - g - 1
Let n(p) = 2*p - 1. Let i(d) = 3*d - 214950 + 214953 - 2*d. Let r(x) = 5*x - 3*x + 0 + 5. Let q(a) = -7*i(a) + 4*r(a). Calculate -5*n(o) + 8*q(o).
-2*o - 3
Let x(p) be the second derivative of -3*p**3/2 + p**2 - 175*p + 1. Let a(r) = -5*r + 1. Give 11*a(f) - 6*x(f).
-f - 1
Let m(n) = -78*n + 5. Let i(w) = 80*w - 4. What is 2*i(c) + 3*m(c)?
-74*c + 7
Let r(t) = -30453672*t - 68416. Let f(y) = -21371*y - 48. What is -4276*f(u) + 3*r(u)?
21380*u
Let o(n) = 18*n**2 + 6. Let t(a) = -18*a**2 - 22*a**2 - 20 - 20*a**2 + 15 + 42*a**2. Give 5*o(k) + 6*t(k).
-18*k**2
Let l = -365 - -370. Suppose -4*b + l*n - 11 = 0, -4*b - 2*n - 21 = -31. Let x(a) = 11*a - 4. Let s(k) = 1. Calculate b*x(f) + 4*s(f).
11*f
Let v(f) = f**2 + 1. Let h(a) = 0*a**2 + a + 2*a**2 - a**2. Let m(b) = 2*b**2 + 3*b - 1. Let q(z) = -3*h(z) + 2*m(z). Give q(s) + v(s).
2*s**2 + 3*s - 1
Let s(d) = -d**2 - 1. Suppose 104*h - 153 + 673 = 0. Let q(g) = -9*g**2 + 2*g - 3. Determine h*s(w) + q(w).
-4*w**2 + 2*w + 2
Let d(r) = 2*r**3 + 19*r**2 - 75*r - 184. Let c be d(-12). Let w(b) = -b. Let m(i) = i**3 + i. Give c*m(k) - w(k).
-4*k**3 - 3*k
Let k(z) = z. Let u(t) be the second derivative of -t**3 + 672*t. Let g(m) = -m**2 - 8*m + 2. Let d be g(-8). Suppose -2*r + d = -r. Calculate r*u(i) + 11*k(i).
-i
Let x(q) = q + 3. Suppose 636*i - 640*i = -12. Let m(b) = -2*b - 3. Give i*m(g) + 2*x(g).
-4*g - 3
Let u(y) = 4*y**3 - 4*y + 1. Let i(s) = -6*s**3 - 207*s**2 - 10*s. Determine -i(m) - u(m).
2*m**3 + 207*m**2 + 14*m - 1
Let s(u) = u**2 - u - 1. Let r(z) = -18*z**3 + 12*z**2 - 12*z - 12. Let d(f) = f**3 - 3*f**2 - 12*f - 12. Let m be d(0). Determine m*s(w) + r(w).
-18*w**3
Let u(y) = 38*y**2 + 5*y + 1. Let t be 2/8*2 + (-12)/((-24)/(-17))
|
{
"pile_set_name": "DM Mathematics"
}
|
In base 15, what is -123 - 6?
-129
In base 16, what is 4c2 + 2?
4c4
In base 15, what is 57 + 33?
8a
In base 15, what is 1 - -364?
365
In base 6, what is 41 + 145?
230
In base 12, what is -5 + 658?
653
In base 4, what is -1 - 31103?
-31110
In base 5, what is 10 + 101321?
101331
In base 15, what is 68 - 5?
63
In base 6, what is -34 + 2?
-32
In base 5, what is 1 - -100232?
100233
In base 2, what is 1010011 - -1?
1010100
In base 8, what is -173 + 44?
-127
In base 10, what is -3 - -98?
95
In base 4, what is -11 - 132131?
-132202
In base 13, what is 8a - 0?
8a
In base 3, what is -2 - -120211?
120202
In base 10, what is 24 - -2?
26
In base 8, what is -2 - 25?
-27
In base 13, what is -10 - -8c?
7c
In base 16, what is -aa9 - 2?
-aab
In base 3, what is 0 - -1110?
1110
In base 4, what is 33 + 3?
102
In base 7, what is 24 + -42?
-15
In base 9, what is 34 + 5?
40
In base 3, what is 22211 + -120?
22021
In base 9, what is -447 + 2?
-445
In base 10, what is 5 - -296?
301
In base 3, what is 20012 + -10?
20002
In base 8, what is 1224 - -3?
1227
In base 3, what is 12 - -10221?
11010
In base 16, what is 21 - -3?
24
In base 14, what is 3 + -2ad?
-2aa
In base 13, what is 53 - -5?
58
In base 16, what is 2 + -9b?
-99
In base 8, what is 5 - -3?
10
In base 3, what is -100222 + 20?
-100202
In base 3, what is -102101 + 11?
-102020
In base 15, what is -8e - 1?
-90
In base 10, what is 16 - -7?
23
In base 6, what is 14 - -20?
34
In base 8, what is -536 + -4?
-542
In base 2, what is 0 + 10000100?
10000100
In base 3, what is -102101100 - -2?
-102101021
In base 15, what is 49 - -11?
5a
In base 15, what is 5 + -a65?
-a60
In base 5, what is -1101133 - -10?
-1101123
In base 13, what is -3c + 14?
-28
In base 16, what is -33 + 10?
-23
In base 3, what is 110120 + -10?
110110
In base 3, what is -102 - 1?
-110
In base 16, what is 4 + -99a?
-996
In base 7, what is 66 + -16?
50
In base 2, what is 11111 - 0?
11111
In base 15, what is -514 - -3?
-511
In base 4, what is 22311 + -313?
21332
In base 5, what is 2234 + -2?
2232
In base 9, what is 146 - 3?
143
In base 4, what is -212311 - 3?
-212320
In base 8, what is -17 - 25?
-44
In base 7, what is -26664 + -5?
-30002
In base 16, what is -3 + -73?
-76
In base 10, what is 527 + 3?
530
In base 3, what is 11102 + 2?
11111
In base 8, what is 226 + 141?
367
In base 7, what is -5 + -3544?
-3552
In base 12, what is 0 - 40?
-40
In base 9, what is -3 - 23?
-26
In base 4, what is 122300 - -11?
122311
In base 7, what is 4 + -1664?
-1660
In base 13, what is 15 - 260?
-248
In base 5, what is 24 - 14?
10
In base 16, what is 1 + 2a?
2b
In base 14, what is 2 + 1d2?
1d4
In base 8, what is 5 - -212?
217
In base 16, what is -81 - -7?
-7a
In base 11, what is 21a + 0?
21a
In base 16, what is -6 + -21?
-27
In base 7, what is -1231 - 4?
-1235
In base 8, what is 0 + -36?
-36
In base 3, what is 2 + -212021?
-212012
In base 5, what is -233 - 2440?
-3223
In base 12, what is -407 - 0?
-407
In base 10, what is 11519 - -2?
11521
In base 15, what is 4 + 4?
8
In base 7, what is 120625 - -2?
120630
In base 14, what is 58 + -2?
56
In base 8, what is 1732 + 1?
1733
In base 9, what is 104 + -14?
80
In base 11, what is -1838 - 1?
-1839
In base 5, what is -1 + 23?
22
In base 6, what is 4 + -5140?
-5132
In base 14, what is -20 + 2?
-1c
In base 2, what is 101011 + 110?
110001
In base 3, what is 2222121 + -12?
2222102
In base 10, what is 5 - -173?
178
In base 15, what is -18 + 1?
-17
In base 15, what is 4 - -3?
7
In base 16, what is 1b - 2f?
-14
In base 13, what is 1c - -94?
b3
In base 4, what is 230 - 0?
230
In base 16, what is 2 + -172?
-170
In base 15, what is -137 - -1?
-136
In base 11, what is -2 - -4a8?
4a6
In base 15, what is 19 + -1c?
-3
In base 13, what is -3 + -4?
-7
In base 3, what is 12222 - 11?
12211
In base 15, what is 26 + -5?
21
In base 8, what is -1 - -156?
155
In base 16, what is 1c90 - -2?
1c92
In base 10, what is 5 + -25?
-20
In base 16, what is -7 - b?
-12
In base 8, what is 2661 + 4?
2665
In base 11, what is 54 + -6?
49
In base 2, what is 1 - -11110001111?
11110010000
In base 9, what is -165 + -6?
-172
In base 11, what is 9 + -1749?
-1740
In base 14, what is -8a - b?
-97
In base 2, what is 100011000110111 + -101?
100011000110010
In base 13, what is 89 - 0?
89
In base 8, what is 6526 - 0?
6526
In base 16, what is 17 + 3d3?
3ea
In base 5, what is 4 - -1434?
1443
In base 15, what is -2 + 1542?
1540
In base 13, what is -12b - -4?
-127
In base 3, what is 221 - -10?
1001
In base 4, what is -2 + 10?
2
In base 14, what is 2233 + 4?
2237
In base 3, what is -1120 + -12?
-1202
In base 3, what is -111011 - 11?
-111022
In base 15, what is 6 + b?
12
In base 4, what is -23011 + 10?
-23001
In base 7, what is -16 - 31?
-50
In base 2, what is 101111 - -110?
110101
In base 6, what is 450 + -14?
432
In base 2, what is -10001111001 - 101?
-10001111110
In base 7, what is 1 - 123?
-122
In base 10, what is 49 - -7?
56
In base 15, what is -8 + -14?
-1c
In base 11, what is -316a - 7?
-3176
In base 6, what is -1 - -1535?
1534
In base 10, what is 1 - -3204?
3205
In base 15, what is -23a0 - 2?
-23a2
In base 2, what is 1000111111000 + -100?
1000111110100
In base 2, what is 0 + 10001110100?
10001110100
In base 2, what is -1100010101 + 0?
-1100010101
In base 14, what is -4 - 26?
-2a
In base 14, what is -7 + -12c?
-135
In base 14, what is 1 - a?
-9
In base 12, what is -8 - -157?
14b
In base 9, what is -1760 - 1?
-1761
In base 16, what is 144 - 1?
143
In base 7, what is -144 - -10?
-134
In base 8, what is 20 + 55?
75
In base 14, what is 30d - -9?
318
In base 2, what is 11010 + -1000?
10010
In base 8, what is -4 - 2453?
-2457
In base 15, what is 1 + 95?
96
In base 5, what is 434 + 2?
441
In base 11, what is 399 + -19?
380
In base 13, what is 1 - -98?
99
In base 14, what is -14 - -a?
-8
In base 7, what is 10 - 2241?
-2231
In base 6, what is -4 + 4000?
3552
In base 8, what is 250 + -2?
246
In base 4, what is -33 - 110?
-203
In base 13, what is 233 + -1?
232
In base 4, what is 31 - -20100?
20131
In base 9, what is -1 - -131?
130
In base 15, what is 4 + 457?
45b
In base 8, what is 10 + 342?
352
In base 4, what is 202 + -1?
201
In base 14, what is 3c36 + 5?
3c3b
In base 11, what is 1 + -31?
-30
In base 2, what is 101 + -1100101?
-1100000
In base 12, what is 1b + -4?
17
In base 11, what is -1 - -177?
176
In base 11, what is 302 + 6?
308
In base 10, what is 1 - -5?
6
In base 2, what is -100010 - 1001?
-101011
In base 11, what is 16 - 8?
9
In base 5, what is 122 + 4?
131
In base 3, what is 11 - -110222?
111010
In base 4, what is -103 + 20110?
20001
In base 4, what is -31 - 1000?
-1031
In base 7, what is -5 - -440?
432
In base 9, what is 148 - -2?
151
In base 15, what is d4 - 1?
d3
In base 6, what is -151 - 4?
-155
In base 7, what is -13 + -412?
-425
In base 16, what is -792 + 1?
-791
In base 3, what is -212110 + 2?
-212101
In base 3, what is -12212111 + 12?
-12212022
In base 11, what is 3 + 21?
24
In base 7, what is -161 - -4?
-154
In base 15, what is 1 + 22d?
22e
In base 16, what is -7 + -1?
-8
In base 3, what is -22 + 12210?
12111
In base 9, what is -1 + 268?
267
In base 12, what is 3899 - -5?
38a2
In base 4, what is -2101 + 3?
-2032
In base 10, what is -81 + 5?
-76
In base 8, what is -273 - -2?
-271
In base 6, what is -315 + -2?
-321
In base 8, what is 2420 + 0?
2420
In base 5, what is -20 + 1?
-14
In base 8, what is 73 + 122?
215
In base 10, what is 495 + 33?
528
In base 14, what is 0 - 182?
-182
In base 10, what is 196 + -35?
161
In base 10, what is 3 + -204?
-201
In base 9, what is -208 - -11?
-187
In base 15, what is 3 - -92?
95
In base 7, what is -15 + 0?
-15
In base 3, what is 12 - -1012?
1101
In base 14, what is 2ac + 3?
2b1
In base 10, what is 294 + 0?
294
In base 12, what is -454 + 4?
-450
In base 5, what is 1 - -33?
34
In base 9, what is -50 - -7?
-42
In base 10, what is -31 - 7?
-38
In base 11, what is 3 - -2351?
2354
In base 9, what is -8466 - -2?
-8464
In base 12, what is a + -12?
-4
In base 15, what is 9 - 17?
-d
In base 11, what is 299 - 0?
299
In base 7, what is -56 + 2?
-54
In base 2, what is -10111110 - 1?
-10111111
In base 8, what is -12 - 406?
-420
In base 10, what is -35 - 39?
-74
In base 5, what is 3230 - 1?
3224
In base 6, what is -10 - 533?
-543
In base 15, what is 5 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
r**2 + 0*r**2 - 3*r**2 + 2 + 2*r**4 to the form j*r**3 + n*r**4 + m + a*r**2 + v*r and give a.
-8
Rearrange (3*a**4 - 2*a**4 - 4*a**4)*(1 + 1 - 3) - 4 + 4 - 7*a**4 to v + j*a**3 + h*a**4 + s*a + g*a**2 and give h.
-4
Express 5*h + 4*h - 8*h as l + n*h and give l.
0
Rearrange -2*z + z**2 + 4*z**3 - 3*z**3 + 2*z**4 + 5*z**3 - 3 - 4*z**3 to the form a*z + u*z**3 + f*z**4 + q*z**2 + c and give c.
-3
Express ((3*i - 2*i + 4*i)*(i + 4*i - 4*i) + (0 + 2*i + 0)*(-i - 3*i + 5*i))*(0 + i**2 + 0) as f*i**4 + a*i**3 + t + c*i**2 + p*i and give a.
0
Rearrange (-t - 1 + 1)*(-5 + 5 + t + (-1 + 0 + 2)*(-2*t + 3*t + 0*t) + t + 2*t - t - 2*t - t + t) to the form m*t + w*t**2 + x and give w.
-2
Express (4 + 3 - 5)*(-8*i + 7*i + 20 + 4) in the form r + w*i and give r.
48
Rearrange -1953 - 13*p + 49*p + 1951 to the form v + n*p and give v.
-2
Express -6*n - 3 - 16*n**2 + 25*n**2 + 3 in the form k + x*n + u*n**2 and give x.
-6
Express ((2*z - 2*z - 2*z**3)*(-1 + 3 + 1) + z**3 - 1 + 1)*(-3 + 0 - 7) in the form m + n*z**2 + a*z + b*z**3 and give b.
50
Express -2 + 0 - 3*v - 6 in the form l + k*v and give l.
-8
Express 5*r**4 + 7*r**4 + r**2 + 1 - 2*r - 8*r**4 - r in the form q*r + f*r**4 + x + v*r**2 + a*r**3 and give v.
1
Rearrange (d**3 + 2 - 3 + d**3)*((6 - 4 - 3)*(1 + 3 - 3) + 99 - 34 - 43) to the form m + j*d + l*d**3 + k*d**2 and give m.
-21
Rearrange 3 - 12 + q - 8 + 2 to the form f + j*q and give f.
-15
Express (-4*b + 3*b - 2*b)*(2*b - 2 + 2)*(3 + 1 - 3) in the form m + t*b + v*b**2 and give v.
-6
Rearrange k**3 + 3*k**4 + k - 2*k + 0*k to the form d*k + w*k**2 + v*k**4 + p + m*k**3 and give m.
1
Rearrange 2*a - 2*a**3 - a**3 + a**3 - 28*a to the form s*a**2 + h + m*a**3 + q*a and give m.
-2
Rearrange -3*i + 17*i - 20*i + 5 to y + o*i and give y.
5
Rearrange (7*r + 0*r - 11*r)*(5 - 5 - 2) to the form h + a*r and give h.
0
Rearrange f - f - 2 + 0*f - 2*f**2 to the form d*f**2 + r + o*f and give r.
-2
Rearrange 16*b - 14*b**3 + 5 - 18*b - 2*b**3 to the form g*b**3 + o*b + p + h*b**2 and give p.
5
Rearrange -6 - 15*r + 16*r - 4 + 3 to the form t + k*r and give k.
1
Rearrange (-4*n + n + 2*n)*(-2 + 3 + 1)*(8*n**3 - 2*n**3 - 2*n**3) to w + q*n**4 + g*n + z*n**3 + o*n**2 and give q.
-8
Rearrange 0 + 3*n**4 + 0 + (21 + 6*n - 21)*(3*n**3 - 4*n**3 + 0*n**3) to the form z + g*n**3 + u*n + o*n**2 + y*n**4 and give y.
-3
Rearrange (-6*i + i + 0*i)*(5*i**2 + 6*i - 6*i) - 2*i**3 + 4*i**3 + 0*i**3 to u*i**3 + j + m*i + w*i**2 and give u.
-23
Rearrange 14 + 19 - 6*c**2 - 32 + c**3 to t*c**2 + z*c**3 + s*c + w and give z.
1
Rearrange -4*z**2 + 4*z**2 + z**2 + (-7*z + 0*z + z)*(-4*z - 7*z + 3*z) + (3 - 2 - 3)*(z**2 + 0*z + 0*z) to the form q*z**2 + w*z + l and give q.
47
Express 45 - 17 - 21 + i as o + w*i and give w.
1
Rearrange (3*v**2 - v**2 - 3*v**2)*(2*v + 2*v - 2*v) + (-7 - 6 - 3)*(-3*v**3 + 3*v**3 + v**3) to the form x*v**2 + s*v + y + r*v**3 and give r.
-18
Express -5*v + 181*v**2 - 2*v**3 - 181*v**2 in the form w + r*v**3 + l*v**2 + m*v and give r.
-2
Rearrange 6*y**2 + y - 5*y**2 - 3*y - y - 3*y**3 to the form i + m*y**3 + j*y**2 + p*y and give p.
-3
Express -25 + 25*l + 25 as a + t*l and give t.
25
Express 3*y**2 - y**3 - 6*y**3 + y**2 + 8*y**3 in the form s*y**2 + b*y**3 + o*y + g and give s.
4
Rearrange (-31*u - 31*u - 6*u)*(-4*u + 3*u + 1 - 2) to q + b*u + h*u**2 and give b.
68
Rearrange -2*z**3 + 3*z - 29*z + 19*z to j*z**2 + y*z**3 + q + d*z and give d.
-7
Express 2*k**4 - 4 - 2 + 5 - 2*k**3 - 4*k**4 - 2*k**2 as s*k**3 + x*k**4 + g + w*k + a*k**2 and give a.
-2
Rearrange 3 + c**3 - 1 - 3*c - 3 to the form n + d*c**3 + q*c**2 + z*c and give z.
-3
Express -5*s**2 + 0*s**2 - 5*s**2 - 2*s**2 in the form x + y*s**2 + f*s and give y.
-12
Express (4*x**2 - 3*x**2 - 3*x**2)*(16 - 13 - 9) in the form n + p*x + m*x**2 and give m.
12
Rearrange 1 + 4*w**2 + 2 - w**2 - 1 to the form y + s*w**2 + x*w and give y.
2
Rearrange 2433 - 2433 + 39*k to the form z + q*k and give q.
39
Express ((-4 + 3 - 1)*(-3 - 2 + 4) + 1 - 3 + 1)*(-n + 2*n + 6*n) in the form s*n + o and give s.
7
Rearrange -8*b**2 + 0*b**2 + 0*b**2 to o*b**2 + g*b + p and give g.
0
Express (2*i**3 + i**2 - i**2)*(1 - 5 - 6)*((3*i - 3*i + 2*i)*(0 + 1 + 1) + 0 + 4*i + 0) in the form k*i + r*i**4 + c + a*i**3 + b*i**2 and give r.
-160
Express -2 - 9*g + 3*g + 15*g as a*g + k and give k.
-2
Express 2*z**2 - 2 + 2*z + 3 - 2 + 2*z**3 as l*z + n + w*z**3 + f*z**2 and give w.
2
Express 21*s + 6*s + s in the form j + y*s and give y.
28
Rearrange (2*i**3 - 2*i**3 - 3*i**3)*(-i - i + 4*i) + 2*i**4 + i - i to the form m*i**3 + f*i**4 + p + v*i + h*i**2 and give f.
-4
Express -171 + 10*l + 171 in the form k + z*l and give z.
10
Express (2*u + 0*u - u)*(-2*u + 2*u - 3*u**3) + 9*u**4 - 19 + 11 + 6 as h*u**2 + j*u**4 + v*u + i + z*u**3 and give i.
-2
Rearrange (-3*m + 5*m - m)*(-3*m + 3*m - 3*m)*(-m**2 + 3*m**2 - 3*m**2) to h*m**3 + k*m**2 + v*m + d + b*m**4 and give b.
3
Rearrange 5 + 5 - 2 + 0 + 3*d**2 to the form g + u*d**2 + z*d and give g.
8
Express (-1 + 1 + 17*s**2)*(-7 - 2 + 3) as m + a*s**2 + d*s and give a.
-102
Rearrange -3*s**3 - 10*s**2 - 5*s + 3*s + 9*s**2 - 10*s**3 to h + u*s**3 + x*s + l*s**2 and give l.
-1
Rearrange -8*c + 2 - 2 + 74*c to the form l*c + x and give l.
66
Rearrange -15*l**4 - 16*l**3 + 0*l**2 - l**2 + 17*l**4 + 13*l**3 - 2*l to the form b + y*l**4 + j*l**2 + m*l**3 + x*l and give x.
-2
Express (0*p - 2*p + 0*p)*(-17*p - 9*p + 28*p + 12) in the form l*p**2 + r*p + s and give r.
-24
Express -2*j - 8 + 6*j - 3*j - 5*j as q + i*j and give q.
-8
Rearrange -i - 2*i + 5*i + (0 + 0 + 2 + (-3 - 1 + 3)*(6 - 1 - 3) + 4 - 4 - 1 + 26 - 6 - 2)*(0 + 0 + i) to y + r*i and give r.
19
Rearrange (3 - 26 - 17)*(2 + s - 2) to z*s + a and give z.
-40
Rearrange 2*b**4 - 2 - 2*b**2 + 0*b**4 + 0*b**4 to o*b**4 + p*b + i + g*b**3 + h*b**2 and give o.
2
Rearrange 3 - 3*r**3 + r - 3 + 0*r to the form y + v*r**3 + x*r**2 + d*r and give d.
1
Express 3*p**4 - 9*p**2 - 2*p + 1 - p**4 - 3*p**2 + 9*p**2 - 2*p**3 as f*p + l*p**3 + j*p**2 + n*p**4 + k and give l.
-2
Rearrange 0*r**2 - r**2 + 3*r**2 - 4*r**3 + 5*r**3 + 6*r**4 to l + f*r + v*r**4 + a*r**3 + o*r**2 and give v.
6
Express 13 - 14 - 3*d**3 - 13*d + 4*d**3 in the form s*d**2 + g*d**3 + u*d + w and give g.
1
Express 45*o + 2 - 46*o - 2 as t*o + i and give t.
-1
Express -4*z + 2*z**3 - z**3 + 4*z**3 + 2 as j + t*z**2 + h*z + v*z**3 and give h.
-4
Rearrange p + 44*p + 28*p to the form o + t*p and give t.
73
Rearrange -4*u - 3*u + 5*u + 0*u + u - 3*u + (-3 + 2 + 0)*(0*u - 3*u + u) + 3*u + 3*u - 5*u - u + u - 2*u to the form p + h*u and give p.
0
Express 4*j**4 + 0*j**4 - 3*j**4 + (j**4 - 2*j**4 - j**4)*(-3 + 3 - 4) - j**2 + j**2 + 2*j**4 as v + z*j**3 + s*j + c*j**4 + f*j**2 and give c.
11
Rearrange -2*t - 2*t**2 + 3*t + 0*t - 2*t + 4*t**3 to k*t**3 + f*t + u + p*t**2 and give p.
-2
Rearrange -9*m**2 + 2*m**2 - 7*m**2 to the form d*m + a*m**2 + j and give j.
0
Rearrange 43 - 91 + 9*t + 50 to the form g + a*t and give a.
9
Express (b + 2 - 2)*(4*b**3 + 14*b**2 - 5*b**3 - b**3) in the form h*b + u*b**3 + y*b**4 + n + g*b**2 and give u.
14
Rearrange -11*q**2 - 12*q**2 + 25*q**2 + 3*q to f*q**2 + b*q + a and give f.
2
Rearrange (2 + 0 - 1)*(4*m + 2*m - 3*m) + m + 2*m + 3*m to the form d*m + u and give d.
9
Rearrange (7 + 1 - 1)*(-3*m**2 + 6*m**2 - m**2) - 3*m - 2*m**2 + 3*m + 0*m**2 + 5*m**2 - 3*m**2 to h*m + r*m**2 + p and give p.
0
Rearrange 8*b**2 + 38 - 38 to z + y*b + a*b**2 and give z.
0
Express w - 6*w**3 - 5*w**2 + 6*w**3 - 6*w**3 as j*w**2 + s + y*w**3 + u*w and give j.
-5
Express 1 - 1 - 570*t + 641*t in the form n + k*t and give n.
0
Express 8*r**2 + 2*r**3 + 13*r**2 - 1 - 9*r**2 + 3*r + 3 in the form z + k*r + o*r**2 + i*r**3 and give k.
3
Express 1 - 2*x**2 - x**2 - 3*x**2 + 3*x**2 in the form b*x**2 + d*x + u and give b.
-3
Express (-3 + 3 + r)*(-1 + 2 + 1) - 3*r - 5*r + 0*r + 2 + r - 3*r + r as c + k*r and give k.
-7
Rearrange -2*m**3 - 7 + 17 + 14 - 5 to u*m + x + l*m**3 + s*m**2 and give u.
0
Rearrange -51 + 51 - 8*m to u*m + k and give u.
-8
Express 2*z - z**2 + 3*z + 3*z in the form g*z + v*z**2 + p and give g.
8
Rearrange 41*k**3 + 39*k**3 + 6 + 2*k - 79*k**3 to c + l*k**3 + j*k + x*k**2 and give c.
6
Rearrange (-2 + 1 + 4)*(5 - 4 + 3)*(v**4 - v**4 - 2*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
*(3/2))**41/((j*j/(j*j**4*j*j))/j)**(-42) assuming j is positive.
j**(-463/2)
Simplify ((y*((y/y**(-15))/y)/y)**(-2/13))**6 assuming y is positive.
y**(-180/13)
Simplify ((u**(2/5)*u*u)**(-23)*(u*u**4)/u**(-1/5))**24 assuming u is positive.
u**(-1200)
Simplify (h*h*h**(-3/5)/h)**(-33)*(h**(-21)*h)**(-1/66) assuming h is positive.
h**(-2128/165)
Simplify t**7*t**6/t*t*(t/t**4)**(-31) assuming t is positive.
t**106
Simplify (((v**0)**(1/11))**33)**(4/7) assuming v is positive.
1
Simplify (((p/(p**(2/3)*p)*p)/p)/(p**(-7)/p*p)*(p**8/p)/(p*p*p**0))**(-3/4) assuming p is positive.
p**(-17/2)
Simplify (i*(i/(i**(-5/3)/i))/i*i)/(i/i**(1/7))*i**(-2)/i**(1/4) assuming i is positive.
i**(131/84)
Simplify (((((t**2/t)/t*t)/t)/t)**39/(t/t**(-2/7)*t*t/(t*(t**2/t)/t)*t))**(-2/5) assuming t is positive.
t**(592/35)
Simplify (b**(-1/3)/(b*b/b**(-1/2)))/((b*(b/(b*b**(-1/6)*b))/b*b*b)/b)**6 assuming b is positive.
b**(-23/6)
Simplify (((r/(r**(-2/19)*r))/r)/r)**(-13)*(r**(-3)/r*r)**(-35) assuming r is positive.
r**(2463/19)
Simplify ((s**(2/3)/s)**(-22)*(s/s**(-1/2))/(s*s**(-7)*s))**(-41) assuming s is positive.
s**(-3403/6)
Simplify (l**(13/4)/l**(-6))/(l**6/l*l*l/(l*l*l/(l/(l**(-9)*l))*l)) assuming l is positive.
l**(-11/4)
Simplify s**(1/10)*s/(s/((s*s/(s*s**(-1/57)))/s))*(s/s**(-1/10))**(-2/27) assuming s is positive.
s**(37/1026)
Simplify ((z*z/(z*z**(-2/3)/z*z)*z)/z**(2/27))/(z/(z*z**(-2/21)))**(-2/17) assuming z is positive.
z**(8366/3213)
Simplify (((y**(-25)*y)/(y*y**(-18)/y))**(1/21))**34 assuming y is positive.
y**(-68/7)
Simplify (o*o/(o*o**(-2/5)/o))**(26/5)/((o*o/o**(2/11))/o)**34 assuming o is positive.
o**(-4218/275)
Simplify (q*(q**(-8/3)/q)/q*q*q)**(6/23)*(q**(9/8)/q)**(-9/13) assuming q is positive.
q**(-1247/2392)
Simplify c**(2/47)*c**(1/7)*c*(c**(-2/21))**(9/8) assuming c is positive.
c**(1419/1316)
Simplify ((((s**(-2/11)*s)/s)/s)/s)/s**2*((s/(s**34*s))/s)/s**(-28) assuming s is positive.
s**(-123/11)
Simplify (m/((m*m/m**(-3/2)*m)/m))**(-21)/(m**(1/7)*m/(m/(m/m**(2/9)*m)*m)) assuming m is positive.
m**(6499/126)
Simplify (d**8/d)/(d/(d/d**(-6)))*(d*d*(d/(d**10*d))/d)/d**4 assuming d is positive.
1
Simplify (u**4)**9*u/u**(2/11)*u**(-1/5) assuming u is positive.
u**(2014/55)
Simplify (v**0)**(-21/2)/(v**17*v**(-15)/v) assuming v is positive.
1/v
Simplify (w**(-12)/(w/(w*w**(2/13))*w))/((w*w**(-1/5))/w**(-15)) assuming w is positive.
w**(-1862/65)
Simplify ((j**2*j*j**10)/(j**(-1/3)*j)**(16/3))**(-2/65) assuming j is positive.
j**(-34/117)
Simplify ((d*(d*d**(-1))/d)/d)**(-17)*(d/(d*d**4))**(4/19) assuming d is positive.
d**(307/19)
Simplify ((h/(h**(3/5)*h*h))/(h*h**(-4)))/((h*h**(-1/7))/h)**(3/16) assuming h is positive.
h**(799/560)
Simplify ((u*u**(-7))/(u/(u*u**9)))/((u*u**(-13))/(u*u/u**28)) assuming u is positive.
u**(-11)
Simplify (j**0*j/j**(-4/11))**(9/8) assuming j is positive.
j**(135/88)
Simplify i/(i/i**(-11))*i*i**(-2/73)*(i*i/(i/(i**(-20)*i*i))*i)**20 assuming i is positive.
i**(-24092/73)
Simplify ((a**(2/3))**(-5)/(a**(-1))**(-1/38))**(-5/4) assuming a is positive.
a**(1915/456)
Simplify w**(-2/21)/(w*(w**19*w)/w*w)*(w**(-6))**(1/26) assuming w is positive.
w**(-5822/273)
Simplify (u*u**5)**(-6/17)/((u/(u*(u**(1/18)/u)/u*u))/(u/u**14)) assuming u is positive.
u**(-4915/306)
Simplify (b**16*b*(b*b/(b/b**(4/5)))/b)/(b**(-9)*b*b/((b*((b*b/(b/(b/((b/(b*b/b**(-1/10)))/b)))*b*b)/b)/b*b)/b)) assuming b is positive.
b**(299/10)
Simplify (z/z**(13/4))/z*z**(-2/11)/z*(((z*z**(20/7))/z*z)/z)/(z*z**(-18)/z*z) assuming z is positive.
z**(4751/308)
Simplify ((f**7*f)/f)**(17/3)/(f/((f*f/(f*f*f**(2/21)*f))/f)*f*f**1*f*f) assuming f is positive.
f**(228/7)
Simplify y/y**31*y**(-2/7)*(y**(4/7)*y*y)/y*y/y**(-25) assuming y is positive.
y**(-19/7)
Simplify (l**22*l**(1/40)/l)**3 assuming l is positive.
l**(2523/40)
Simplify (d*d/d**(-1))**(2/51)/((d*d**(-8)*d*d)/(d/(d/(d/d**2)*d))) assuming d is positive.
d**(53/17)
Simplify (s/(s*s*s**(3/14)*s))/(s*s**(2/21)*s*s)*((s/(s/((s*s**7/s*s)/s)))/s)**(-14/3) assuming s is positive.
s**(-1399/42)
Simplify ((o*o**1*o*o)/o**(3/4))**(2/11) assuming o is positive.
o**(13/22)
Simplify (j/j**(-2/3))**33*j**(-6)/(j*(j**(2/25)/j)/j*j) assuming j is positive.
j**(1223/25)
Simplify (v**(12/13)*v*v**(3/5)*v)/(v*v/v**(2/15)*v**(2/3)) assuming v is positive.
v**(193/195)
Simplify (((u/((u/u**3)/u*u))**35)**(-1/51))**(1/30) assuming u is positive.
u**(-7/102)
Simplify (q/q**(2/29)*q)**(4/5)/(q**(-5))**(25/4) assuming q is positive.
q**(19021/580)
Simplify g*g/g**9*g*g**(1/7)*g**(-1/6)/(g*g/g**8*g) assuming g is positive.
g**(-43/42)
Simplify (x**5*x**(-3))/(x/(x**(1/2)*x*x)*x*x/((x**(-5/3)*x*x*x)/x)) assuming x is positive.
x**(11/6)
Simplify (u**(2/19))**32/((u/u**(1/5))/((u*u/(u*u**(-28)))/u)) assuming u is positive.
u**(2904/95)
Simplify (((a**(-2)/a)**14)**(-3/28))**30 assuming a is positive.
a**135
Simplify (y**0*y**(-14))/(y*y**0)**34 assuming y is positive.
y**(-48)
Simplify (g**(-31)/g*g)/(g*g**31/g*g)*(g**(-1/10)/g)**(-48) assuming g is positive.
g**(-51/5)
Simplify (t**(-1))**(-1/4)*t**(-8)/t*t/t**(-6) assuming t is positive.
t**(-7/4)
Simplify (c**2)**(-31)*(c**(-1/4)*c)**(-8/15) assuming c is positive.
c**(-312/5)
Simplify (m/(m*m**(-4/5)*m*m))**0*m*m**18*m**16 assuming m is positive.
m**35
Simplify (c**(-2/9))**(-8)*c**12/c**10 assuming c is positive.
c**(34/9)
Simplify (g*g*g/(((g/(g/(g**(2/11)*g)))/g)/g))**(-23)/(g**8*g**(2/7)*g) assuming g is positive.
g**(-7477/77)
Simplify (((k**(-1)/k)/k)**(-10/9)/((k*k**(1/6)*k*k)/k**(10/7)))**(-13) assuming k is positive.
k**(-871/42)
Simplify ((l**5*l)/l)**(-5/8)*(l**(5/2))**(-15/2) assuming l is positive.
l**(-175/8)
Simplify (h/(h/(h*((h/h**(-21))/h)/h))*h)/(((h/h**(-10))/h)/h)*(h/h**(2/5)*h)/h*h/(h/(h**(1/28)*h)) assuming h is positive.
h**(2049/140)
Simplify ((z/z**12)/z*z)/(z*z**(-4))*z/z**(2/5)*z**(-11) assuming z is positive.
z**(-92/5)
Simplify (f**(-4/9))**(-6/7)*f**(2/9)*f*(f**7/f*f)/f assuming f is positive.
f**(479/63)
Simplify x**(-18)*x*(x/(x/x**22))/x*(x/(x/x**(2/15)))/x**(-19) assuming x is positive.
x**(347/15)
Simplify (s*s**13)/((s*(s*(s*(s*s**2)/s)/s*s)/s)/s)*(s**4)**(-1/19) assuming s is positive.
s**(205/19)
Simplify (f*f**(8/5))**(7/9)/(f/(f*f*f*f**7*f*f))**(-1/31) assuming f is positive.
f**(2326/1395)
Simplify ((u**(-3)/u)/u)**(-3/10)/(u**(-3))**(-6/11) assuming u is positive.
u**(-3/22)
Simplify (t**(1/14)*(t*t*(t/(t*(t*t**(7/6))/t*t))/t*t)/t*t)/(t**(3/5)*t**13) assuming t is positive.
t**(-1438/105)
Simplify (l*l**(-4/3))**11*l*l**4/l*l**(4/11)/l assuming l is positive.
l**(-10/33)
Simplify ((n**(1/7)/n)/n**(-34))/(n**6*(n*n/(n**(13/4)*n))/n) assuming n is positive.
n**(851/28)
Simplify h**22*h/(h/(((h*((h**(2/9)/h)/h)/h*h*h)/h)/h*h))*(((h**(-2/11)*h)/h)/h)/(((h/(h**6*h))/h)/h) assuming h is positive.
h**(2776/99)
Simplify (k**(1/2)/k)**(4/7)/((k/k**24)/(k*k*k**(-2/13)*k*k)) assuming k is positive.
k**(2417/91)
Simplify (m**(1/4))**(-32/5)*m/(m/m**8)*(m*(m*m*m/(m*m/(m**(-5/2)*m))*m)/m)/m assuming m is positive.
m**(59/10)
Simplify j**7*j*j/(j**(-18/7)*j*j)*j*j*j*j**(-22)/((j**(-15)/j)/j) assuming j is positive.
j**(53/7)
Simplify (((n**(9/7))**(-4/9))**(-28))**(-28) assuming n is positive.
n**(-448)
Simplify ((l**(1/2)*l*l/(l/(l*l*l*l/(l/(l**(-2/5)/l)*l)*l*l))*l)/(l**1)**24)**(-17) assuming l is positive.
l**(3213/10)
Simplify (((r*r/(r/((r*r/(r**(-4)/r))/r)))/(r/(r**(-1)/r)))**(-21/4))**(6/29) assuming r is positive.
r**(-126/29)
Simplify (p**(-2/11))**(1/42)*(p**2)**(1/11) assuming p is positive.
p**(41/231)
Simplify (g*g**(-4)/g*g)**(-20)*(g*g**0)**(-2/17) assuming g is positive.
g**(1018/17)
Simplify (n/(n/n**(-3)*n))**(-2/3)/(n/((n/n**1)/n)*n**3*n) assuming n is positive.
n**(-10/3)
Simplify (o/o**(-16))**(-11/7)*(o/o**(-27))/o**(-14) assuming o is positive.
o**(107/7)
Simplify ((((j/((j/(j/(((j*j**(-6)*j*j*j)/j)/j)*j*j)*j)/j*j)*j)/j)/(j/(j*j*j*j/j**(-1/7)*j)))**(2/103))**(-13) assuming j is positive.
j**(-1846/721)
Simplify (d*d/(d/d**2)*d*((d*d**(-2/17)*d)/d*d*d)/d)/(d**(-6/5)*d*d*d*d*d**(-1/8)) assuming d is positive.
d**(2181/680)
Simplify u**3*u**7*(u**(-3/7)*u)**(-45) assuming u is positive.
u**(-110/7)
Simplify (((g**(1/4)/g)**(5/4))**(5/2))**(-10/11) assuming g is positive.
g**(375/176)
Simplify ((a*a**4)/(a/a**(3
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the greatest common divisor of o and y?
31
Suppose -3*q = w - 405, 3*w - 239 - 166 = -3*q. Calculate the highest common divisor of 15 and q.
15
Let s be 30/50 - (-94)/10. Suppose 0 = -4*b - 28 + 388. What is the greatest common factor of s and b?
10
Suppose -2*z + 57 = 13. Let i be 2*z - 3/(-3). Suppose -2*q = -6*q + 60. What is the highest common divisor of q and i?
15
Suppose -d + 19 = -r + 3*r, 5*r - 9 = d. Suppose 0 = -4*p + 12, -v + d = p - 1. What is the greatest common divisor of 15 and v?
3
Suppose 113*m = 103*m + 170. What is the greatest common divisor of 731 and m?
17
Let t(d) = -d**2 - 42*d + 185. Let j be t(-45). Calculate the highest common divisor of 25 and j.
25
Let h be 532/(-6)*(-24276)/833. Calculate the greatest common divisor of h and 152.
152
Let r be (12/(-10))/(1/(-5)). Suppose -j + r*j = 40. Suppose -5 = -y + j. What is the greatest common factor of 13 and y?
13
Suppose -410*d - 417*d = -832*d + 90. Suppose -4*y = -68 - 16. Suppose 0 = l - 2*f - 20 - y, -3*l = f - 137. Calculate the highest common factor of l and d.
9
Suppose -4 = b + 3*b. Let n = 3 + b. Let s(f) = 11*f**2 - 1. Let z be s(1). What is the greatest common factor of z and n?
2
Let i(q) = -11*q + 4 - 5 + 12. Let d be i(-2). Calculate the greatest common factor of d and 3.
3
Suppose -3*l - 179 = -5*z, 3*z - 2*l = -0*l + 108. Let v = -5 + 8. Suppose v*n = -2*a - 0*n + z, 5*a + 5*n = 75. What is the highest common divisor of a and 77?
11
Let a(b) = b**3 + 13*b**2 + 16*b + 211. Let g be a(-10). What is the highest common divisor of g and 91?
13
Let s(m) = -m**3 + 4*m**2 + 5*m + 6. Let i be s(5). Let c be 4 - 1/((-1)/(-2)). Let u be c/(-4)*(0 - 48). What is the greatest common factor of u and i?
6
Let j(l) = 1 + 0 + 177*l - 2. Let b be j(1). Let r be 352/(-24)*(-15)/10. Calculate the greatest common divisor of b and r.
22
Let g = 20 + -18. Suppose -v = -g*v + 3. Let f be -2 - (v + -4 + -6). What is the highest common divisor of f and 45?
5
Suppose 0 = 2*v - 4 - 6. Suppose -v*r + 9 = -36. What is the highest common factor of r and 45?
9
Let n be ((-3290)/(-6))/(5*1/15). What is the greatest common factor of 35 and n?
35
Suppose -5*s - 13 + 18 = 0. Let v = -32 + 33. Calculate the highest common divisor of v and s.
1
Let z be (4/(-12))/(1/(-6)). Let x(c) = -c**3 + 6*c**2 + 10*c + 1. Let k be x(7). Suppose 5*a = 4*a + k. What is the greatest common divisor of z and a?
2
Let g be ((1 - -1) + -7)/((-5)/2). Suppose -100 = -4*z + 4*s, -40 = z - g*z - 2*s. What is the greatest common divisor of 45 and z?
15
Suppose 4*s + 20 = 0, 25*s = 3*r + 28*s - 51. Calculate the highest common divisor of 110 and r.
22
Suppose 2*u - 636 = 372. Suppose -y + 3*y + u = 4*l, -5*l = -4*y - 1002. Let z = y + 402. Calculate the greatest common divisor of z and 22.
22
Suppose n - 3 = 0, n = 4*m - 1049 + 216. Suppose -32*z + 849 = 241. Calculate the greatest common divisor of m and z.
19
Let h(t) = -4*t - 14. Let c be h(-4). Suppose 3*b = 5*m - 260, -156 = -5*m + c*m - 2*b. Calculate the greatest common factor of m and 468.
52
Let s(p) = p**2. Let q = 1 - 4. Let c be s(q). Suppose -4*d + 0*r = 3*r - 21, -5*r = -4*d - 3. Calculate the greatest common divisor of c and d.
3
Suppose 17*k - 182 - 73 = 0. What is the greatest common divisor of 1065 and k?
15
Let m(r) = 5*r**3 + r**2 + 6*r - 8. Let a be m(5). Suppose -23*q = -30*q + a. What is the greatest common divisor of 6 and q?
6
Let g be (-8)/((-56)/21) + 186. Calculate the greatest common divisor of g and 27.
27
Let t(r) = r**2 + 11*r + 19. Let h be t(-8). Let s(d) = 4*d**2 - d - 1. Let x be s(h). What is the greatest common factor of 13 and x?
13
Let t be -4 + -8 + (35 - -11). What is the highest common divisor of t and 2176?
34
Suppose y = 4*y - 408. What is the greatest common factor of y and 8?
8
Let x = 100 + 25. Suppose 2*o - x = -3*o. What is the highest common factor of o and 100?
25
Suppose -3*r + 144 = 4*j, -4*r + 206 - 14 = 3*j. What is the greatest common divisor of r and 3?
3
Let b(o) = -o**3 - 8*o**2 - 38*o - 359. Let w be b(-9). Suppose 3*r - n - 36 = -5*n, 0 = -5*r + 4*n + 92. What is the greatest common divisor of r and w?
16
Suppose 0*o = -2*o + 8. Suppose 43 = 9*u + 7. Calculate the highest common factor of u and o.
4
Suppose 650 = o - 5*z, 4*o = 3*z - 473 + 3107. What is the greatest common divisor of 6 and o?
6
Let s(j) = 12*j - 9. Let v(k) = k**2 + 48*k - 37. Let i(p) = -9*s(p) + 2*v(p). Let n be i(8). Calculate the greatest common factor of n and 13.
13
Let h be 67 + (-6 - 9)/3. What is the greatest common divisor of h and 899?
31
Let k(x) = -x**2 + 3*x - 3. Let w be k(4). Let y = -3 - w. Let h = 54 + -26. Calculate the greatest common factor of h and y.
4
Suppose -2*s + 51 + 113 = 0. Calculate the highest common factor of 328 and s.
82
Suppose 4*h = -h + 20. Let t be 47 - (-3 + h + -2). Calculate the highest common divisor of t and 8.
8
Suppose 4*f - 80 = -f. Calculate the highest common factor of 848 and f.
16
Suppose 4*s - 5*c + 2*c = 73, -2*s + 5*c = -19. Let g be ((-1474)/134)/(2/(-10) + 0). Calculate the greatest common divisor of g and s.
11
Suppose d = 6*d. Let p be (1 - 0/(-4))*(9 + d). Let f(z) = z + 9. Let a be f(-6). What is the greatest common divisor of p and a?
3
Let z be 4/(-14) - 2*(-8133)/42. What is the greatest common divisor of 9 and z?
9
Let k = 53 - 29. What is the highest common factor of 156 and k?
12
Let i = -1 + 10. Let h(g) = g**2 - 4*g - 6. Let b be h(6). What is the highest common factor of b and i?
3
Let c(a) = -a**3 + 3*a**2 - a + 7. Let i be c(3). Suppose 0*g - i*v - 40 = -g, 5*v = -5*g + 175. Calculate the greatest common factor of 18 and g.
18
Suppose 87 = 4*l + 15. Let g = -10647 + 10845. What is the greatest common divisor of l and g?
18
Suppose -2*z + 3*q + 201 - 72 = 0, -3*q + 135 = 2*z. Calculate the highest common divisor of z and 858.
66
Let s be (23/2)/(3*2/12). Calculate the highest common divisor of 92 and s.
23
Suppose 10 = 5*f + 2*n - 66, 0 = -f - 4*n + 8. What is the highest common factor of 40 and f?
8
Let n(h) = -2*h**3 + 2*h**2 - h + 2. Let w be n(-3). Let k = w + -35. Calculate the highest common divisor of 63 and k.
21
Suppose -1 + 5 = 2*t - 5*a, -t + 4*a = 4. Suppose -5*b - t = -4*l - 5, -b + 4*l = 11. Calculate the greatest common divisor of b and 4.
1
Suppose -2*l + 7 = 2*r - 21, -2*l + 37 = 3*r. Let o = 681 - 672. What is the highest common factor of o and r?
9
Let h = 855 + -594. Calculate the greatest common factor of h and 58.
29
Suppose t - 62 - 640 = 5*m, -5*m = 2*t - 1389. What is the highest common divisor of t and 205?
41
Let t be 34/10 + 2/(-5). Let c(n) = 2 + 144*n - 5 - 133*n. Let f be c(t). Calculate the highest common divisor of 12 and f.
6
Suppose -10*y + 49 = 29. Calculate the greatest common divisor of y and 9.
1
Suppose -3*j - 5*h - 2152 + 6035 = 0, -5 = 5*h. Calculate the highest common factor of 81 and j.
81
Let c(l) = 2*l**2 - l. Suppose 39 = 4*r + 3*x, -3*r + 26 = -2*r + 4*x. Let h be c(r). What is the greatest common divisor of 99 and h?
33
Let g be (27 + -117)*3/(-6). Calculate the highest common factor of 342 and g.
9
Let g be (-748)/(-51) + 2/6. Let i = -13 + 19. Calculate the greatest common factor of i and g.
3
Let x(s) = 90*s. Let o be x(2). Let u be (-2 + 0 + 1)/((-21)/399). Let y be u + -1 - -1*4/2. What is the greatest common factor of y and o?
20
Suppose -3*s = -u - 2310, -s + 0*s = 2*u - 763. Suppose -5*d - 139 = -s. What is the greatest common divisor of d and 14?
14
Suppose 2 = 3*p + 4*x, 7 = -p + 4*p - x. What is the highest common divisor of 58 and p?
2
Let x(b) = -5*b**2 - 23*b - 9. Let f be x(-6). Let q = 3 - f. Calculate the highest common factor of q and 72.
18
Let p(m) = -m**2 + m - 2. Let z be p(0). Let q(n) = -5*n. Let v be q(z). What is the highest common factor of 25 and v?
5
Suppose 2*b - 5*c - 39 = b, 0 = -3*b + 5*c + 67. What is the greatest common factor of b and 35?
7
Suppose -78*g + 80*g - 20 = -5*v, -4*g - 4*v + 40 = 0. Calculate the highest common factor of g and 995.
5
Let n = 11 - -11. Let a = -1773 - -1806. Calculate the highest common divisor of a and n.
11
Let w = -1723 + 1898. What is the greatest common divisor of w and 105?
35
Suppose -3*v + 0*t = 4*t - 56, 5*t = 3*v - 38. Suppose 0 = 64*
|
{
"pile_set_name": "DM Mathematics"
}
|
= b - -56. Is r a multiple of 5?
False
Let a(d) = d**3 + 10*d**2 - 3*d - 11. Is 5 a factor of a(-10)?
False
Let c = -1 + -38. Let k = c - -74. Let d = k - 18. Is d a multiple of 17?
True
Suppose 48 = y - 0*y. Is 16 a factor of y?
True
Let v(h) = 4*h**2 + 2. Suppose 3*k = -4*q + 28, -3*k = 2*q + k - 24. Let s be (-1)/(-2)*q*-1. Is v(s) a multiple of 6?
True
Let p(f) = -f + 1. Let d be p(-3). Suppose d + 4 = 2*v. Does 3 divide v?
False
Let c(j) = -j. Let l be c(2). Let m = -3 - l. Is 6 a factor of (-178)/(-10) + m/(-5)?
True
Suppose 0 = 2*s + 31 - 247. Does 18 divide s?
True
Let r be (0 - 0)*1/(-1). Suppose r = n - 5 + 1. Suppose -n*v - 18 = -7*v. Is 3 a factor of v?
True
Suppose -4*d + 6 = 3*v - 25, -2*v + 3*d + 49 = 0. Let y = v + 19. Is 10 a factor of y?
False
Suppose -19 = -2*q + 4*f + 27, q = 4*f + 13. Suppose 2*y - 2*h + 11 = y, h + q = -5*y. Let k(g) = g**2 + 3*g - 2. Does 11 divide k(y)?
False
Is 15 a factor of ((-984)/(-20))/((-16)/(-40))?
False
Is 9 a factor of 17 + (2 - 4 - 1)?
False
Let b = -25 - -144. Is b a multiple of 7?
True
Suppose 3*v - f - 224 = 0, 5*v = f + f + 374. Does 8 divide v?
False
Let f = -75 + 130. Suppose -5*j = x - f, 2*x + 3*x = 25. Does 5 divide j?
True
Let z be 3/(-2) + 7/14. Does 22 divide (z/(-1))/((-3)/(-129))?
False
Let r(a) = -10*a + 1. Let z be r(4). Let w be (-1)/((-75)/z - 2). Suppose -88 = -5*v - w. Does 5 divide v?
True
Suppose -6 = -a + 2*h, 3*a - 3*h + 0 = 12. Suppose 10 = 2*d - 2*y, y - a*y = 2. Is d even?
False
Suppose -t - 2*o + 2 = 0, t - 3 + 1 = o. Let z(h) = 2*h**t + 2 - 3 - h - h**2. Is 13 a factor of z(-5)?
False
Suppose 2*j = -3 + 1, -4*j - 24 = -4*h. Suppose 3*z - 92 = -5*q, -h*z - 28 = -2*q - 233. Is z a multiple of 13?
True
Suppose -3*y = -3*n - 627, -y + 101 + 124 = -5*n. Is 41 a factor of y?
True
Let r(d) = 6*d + 5. Let v be r(5). Does 5 divide (1*10)/(14/v)?
True
Suppose -26 = -q - 4*n + 34, 0 = 4*q - 2*n - 312. Does 20 divide q?
False
Let b = -16 + 34. Suppose -2*z + b = -2*h, z = -3*z + 3*h + 38. Does 4 divide z?
False
Suppose -5*f - 19 = 3*h, 3*f = -0*f + 5*h + 9. Is 5 a factor of 3*(f - 44/(-12))?
True
Let f(y) = 4*y**2 + y - 7. Let z be f(3). Let p = z + -23. Is 3 a factor of p?
True
Suppose -h + 2 = 0, 4*p + 2*h + 3*h = 550. Does 10 divide p?
False
Let b(f) = 2*f**2 + 3*f + 1. Does 6 divide b(-3)?
False
Let c = 15 - 30. Is 24/10*(-200)/c a multiple of 16?
True
Suppose z - 267 = -2*z - 4*j, 158 = 2*z - 4*j. Is z a multiple of 8?
False
Suppose 2 = n - 104. Does 5 divide n?
False
Let g be (-1 - -21)*(-4)/(-8). Let b = 11 + g. Does 8 divide b?
False
Let h = -23 - -29. Is h even?
True
Let h be ((-24)/(-9))/((-4)/(-6)). Suppose 3*i - h*i = -8. Suppose -2*t - i = -3*t. Is 7 a factor of t?
False
Let d(y) = 10*y**2 - y. Let j be d(1). Suppose -2*g + 1 + j = 0. Suppose 0 = 2*i - g - 43. Is i a multiple of 12?
True
Let z(l) = -2*l - 11. Let u be z(-8). Suppose 2*a + 6 = u*a. Suppose a*v - 12 = v. Is 12 a factor of v?
True
Let j = -1 - -3. Suppose 0 = a + 2*a + 9, 81 = j*p + 5*a. Does 16 divide p?
True
Let i(b) = 2*b**2 - 1. Let f be i(-2). Suppose -f*n + 295 = -2*n. Is 22 a factor of n?
False
Let j(b) = -b**2 + 11*b - 1. Let p = 11 + -3. Is j(p) a multiple of 8?
False
Suppose -2*h - h - 3*k = -69, 5*k + 77 = 3*h. Let p = h + -16. Is 3 a factor of p?
False
Suppose -6 + 2 = -z. Suppose g + z*l = 24, -2*g + 5*l = 3 + 1. Is 3 a factor of g?
False
Let w(p) = p + 25. Let g be w(0). Let d be ((-18)/(-8))/((-3)/(-12)). Suppose -d = -c + g. Does 17 divide c?
True
Let y(c) = 33*c - 1. Let n be y(2). Suppose -3*h = 4*r - n + 11, -4*h = -r - 53. Is 14 a factor of h?
True
Let p(u) be the second derivative of u**3 + 20*u**2 + u. Let n(v) = 7*v + 40. Let s(d) = -5*n(d) + 6*p(d). Is s(0) a multiple of 17?
False
Let l be (-3)/(6/(-8))*2. Suppose -5*r + l = -2. Suppose -r*a = -3*f - 0*a + 113, -3*f + 106 = 5*a. Is 13 a factor of f?
False
Let h(r) = -5*r - 11. Is h(-10) a multiple of 13?
True
Suppose 4*l - 56 = 5*l. Let y = l - -100. Suppose -5*u + 38 = 5*q - 2*u, u = 4*q - y. Is 6 a factor of q?
False
Let n(j) = -j**3 - 3*j**2 - 3*j - 1. Suppose -3*w + 105 = -75. Let k be 6/(-5)*w/18. Is n(k) a multiple of 10?
False
Suppose 4*b + y - 3*y + 6 = 0, 15 = 4*b + 5*y. Let w be (-1 + (-78)/12)*4/(-6). Is 3*7 - b/w a multiple of 14?
False
Does 2 divide (-1)/((-1)/((-18)/(-2)))?
False
Let v be 1/((-1)/2) - -94. Let s(m) = 14*m**3 + 2*m - 3. Let w be s(2). Suppose -w - v = -5*l. Does 11 divide l?
False
Let o(r) = -r**2 + 5*r - 1. Let m be o(4). Let q be 1/(2 - m)*0. Suppose 2*c - 3*c + 18 = q. Is 13 a factor of c?
False
Suppose 5*j + 3*t - 105 = 0, 3*t + 82 = 2*j + 19. Is j a multiple of 8?
True
Let d(n) = n**2 - 6*n - 8. Let k be d(7). Is (-765)/(-35) + k/(-7) a multiple of 22?
True
Let b = -322 + 455. Is b a multiple of 19?
True
Suppose -z - 51 - 109 = -3*h, 4*h = 3*z + 215. Suppose 2*x + 3*w - h = 50, 0 = 4*x - 5*w - 195. Is 15 a factor of x?
False
Suppose -7*q - 5*t = -2*q - 20, 5*t - 13 = -4*q. Let u = q + 61. Is u a multiple of 24?
False
Is 10 a factor of 9/(-6) + (-321)/(-6)?
False
Let t(p) = -30*p**3 + p**2 + 3*p + 2. Is 10 a factor of t(-1)?
True
Let f(o) = o**3 + 2*o**2 - 3*o. Let s be (-6)/1*2/4. Let u be f(s). Let n = u + 8. Is 4 a factor of n?
True
Suppose 5*l = -5*d - 720, 2*l - 582 = 4*d - 0*l. Is d/(-7) + (-6)/(-21) a multiple of 6?
False
Let n(w) = 4*w. Does 8 divide n(6)?
True
Suppose -5*r - 1 = 3*v - 3, -2*v + 5*r = -43. Is 4*v - (2 - 3) a multiple of 11?
False
Let b = 57 - 13. Is b a multiple of 7?
False
Let d = 0 - -2. Suppose d*z = -z. Is 4 a factor of z + 2 + -3 - -5?
True
Suppose p + 3*p = -40. Let q = -27 + 11. Is 5 a factor of p/8*q/2?
True
Let f = -38 - -58. Is f a multiple of 8?
False
Let y(t) be the second derivative of -t**5/20 + 5*t**4/6 + t**3/3 - 7*t**2 + t. Is y(10) a multiple of 6?
True
Let a = -20 - -42. Let k = 39 - a. Let p = 1 + k. Is 9 a factor of p?
True
Suppose 61 + 28 = n. Let z = n + -51. Is 13 a factor of z?
False
Suppose 4*q = -0*q - 4*w + 400, -2*w = -3*q + 275. Is q/10 - (-1)/(-2) a multiple of 2?
False
Suppose 1241 = 4*h - 3*k, -4*h - 4*k + 3*k = -1229. Is h a multiple of 14?
True
Let x = 20 + -35. Let j be -4*x/(-6) - -2. Does 13 divide j/6*(-21)/2?
False
Let t(z) = 2*z**3 - 4*z + 3. Let f be t(2). Let k(a) = 5*a - 11. Is 13 a factor of k(f)?
False
Suppose -5*r - 97 = -4*t, 4*t = 3*r + r + 92. Suppose -t = -4*j - 2. Is j a multiple of 2?
True
Let q be ((-6)/4)/(3/(-8)). Suppose -4*x + 94 = 5*p, -q*p + 2*x = -p - 52. Is p a multiple of 6?
True
Suppose -3*w + 23 = y + w, 5*y = -5*w + 40. Suppose -l + 18 = -y*i - 4*l, -5*i - 12 = -4*l. Does 4 divide i/(-1*2/5)?
False
Let z(s) = s**2 + 13*s - 30. Does 12 divide z(-22)?
True
Suppose 2*j - 62 - 106 = 0. Does 50 divide j?
False
Suppose 4*v + 0*v - 8 = 0. Is -11*v*5/(-5) a multiple of 9?
False
Let c(a) = -a**2 - 1. Let k(t) = -13*t**2 - 3*t - 4. Let q(o) = 5*c(o) - k(o). Let v be q(-3). Suppose -3*u - 2*b = -v, 4*u + 2*b - 85 = -3*b. Does 20 divide u?
True
Suppose 2 + 2 = 2*o. Suppose -k - 2 = -2*k, -3*m + o*k = -116. Does 11 divide m?
False
Suppose 5*t + 145 = v, -2*v + 6*v - 3*t = 631. Suppose -2*o - 2*o = -v. Does 18 divide o?
False
Let o(d) = 10*d**2 + 2*d + 1. Let j be o(-2). Let p = -13 + j. Is 11 a factor of p?
False
Let p(x) = -x**3 - 6*x**2 + 6*x + 3. Suppose 6*i + 21 = 3*i. Is 5 a factor of p(i)?
True
Let w be (-1)/((2/5)/(-2)). Suppose 0*h = -4*h - w*b + 111, 2*b - 24 = -h. Is 17 a factor of h?
True
Let a(t) = 17*t**2 + t. Suppose 5*s - 15 = 5*x, -2*x - s = -0*s - 6. Is a(x) a multiple of 18?
True
Let i be 2/(3 + (-1 - 1)). Suppose -i*c - 3 = -3*c. Suppose -c*u = 10 - 43. Is 8 a factor of u?
False
Is 3*(5/((-30)/(-152)) + -1) a multiple of 18?
False
Suppose 4*q + 54 = 10*q. Does 2 divide q?
False
Let j(i) = 5*i**2 + 2*i - 2. Let f be j(-3). Suppose -168 - f = -5*b. Is b a multiple of 23?
False
Let x(n) = -n**3 + 17*n**2 + 21*n + 11. Is 5 a factor of x(18)?
True
Let c = 68 - -203. Let g = c + -174. Does 21 divide g?
False
Suppose 0*k = -4*k. Suppose k*c = 5*c - 250. Is c a multiple of 19?
False
Let q = 5 - 5. Suppose 0 = -2*g - q*g + 16. Is g a multiple of 2?
True
Let q(o) = 6*o**3 - 7*o**2 + o + 10. Let r(i) = -5*i**3 + 7*i**2 - i - 9. Let g = 8 + -13. Let l(j) = g*r(j) - 4*q(j). Is l(7) a multiple of 6?
True
L
|
{
"pile_set_name": "DM Mathematics"
}
|
3/14*i**4 + 0*i**2 + 2*i - 1/49*i**7. What is p in w(p) = 0?
-3, -1, 0, 2/3, 3
Let r(n) be the first derivative of -n**3/8 + 153*n**2/16 + 105*n - 2953. Factor r(o).
-3*(o - 56)*(o + 5)/8
Let l(o) = 5*o**2 + 11*o - 12. Let m be l(1). Let f(r) = -4*r**3 + 14*r**2 + r - 31. Let u(b) = -b**3 + b**2 + b + 1. Let i(x) = m*f(x) - 20*u(x). Factor i(k).
4*(k - 2)*(k + 2)*(k + 9)
Let p(k) = k**2 - 1300*k + 24341. Let d be p(19). Find q such that 2/13*q**4 - 8/13*q**3 + 0*q + 0*q**d + 0 = 0.
0, 4
Let g(m) be the third derivative of -m**8/420 + 2*m**7/25 + 169*m**6/150 - 63*m**5/25 - 4*m**2 - 1163. Suppose g(r) = 0. What is r?
-7, 0, 1, 27
Determine g, given that 2/5*g**2 + 1036/5*g + 134162/5 = 0.
-259
Let r(f) be the first derivative of -32*f**3/3 - 79*f**2 + 10*f - 2536. Factor r(c).
-2*(c + 5)*(16*c - 1)
Factor 4/7*a**3 + 18/7*a**2 - 20/7*a**4 + 2/7 - 13/7*a + 9/7*a**5.
(a - 1)**3*(a + 1)*(9*a - 2)/7
Let w = 1/320978 + 458539/320978. Suppose w*g - 8/7*g**2 + 0 - 2/7*g**3 = 0. What is g?
-5, 0, 1
Suppose 30*d - 27*d = -q - 15, 4*d + 19 = -q. Let m(o) = -40*o**2 - 452*o - 88. Let l(f) = 41*f**2 + 451*f + 86. Let u(y) = d*l(y) - 3*m(y). Factor u(h).
-4*(h + 10)*(11*h + 2)
Let r(v) be the second derivative of -2/15*v**3 + 2 + 1/30*v**4 + 1/50*v**5 + 0*v**2 + 22*v. Solve r(x) = 0.
-2, 0, 1
Let b(v) be the third derivative of -v**6/960 + 107*v**5/240 - 635*v**4/192 + 211*v**3/24 + 5*v**2 - 59*v. What is o in b(o) = 0?
1, 2, 211
Let l(a) = 3*a**3 - 44*a**2 + 29*a + 3. Let r be l(14). Suppose 0*p + r*p = 9*p. Find s, given that -2*s**2 + 16/3*s**3 + 0*s + p = 0.
0, 3/8
Solve -97/3*z + 1/3*z**2 - 66 = 0.
-2, 99
Find x, given that 0 - 411019*x**2 - 2 - 357965*x**2 - 7137*x - 91765424*x**3 + 4989*x = 0.
-1/358
Let a be 76*1/18 - (-4)/(-18). Factor -5*k**2 + 0*k + 0*k**2 + k**2 - a*k.
-4*k*(k + 1)
Let k(i) be the second derivative of 5/42*i**4 + 3/7*i**2 + 1/3*i**3 + 1/70*i**5 + 0 - 98*i. Solve k(n) = 0 for n.
-3, -1
Let p = 14/1693 - -4099/118510. Let r(q) be the third derivative of q**3 + 0*q + p*q**7 - 47/120*q**6 + 0 + 73/60*q**5 - 41/24*q**4 + 29*q**2. Factor r(g).
(g - 3)*(g - 1)**2*(9*g - 2)
Factor 1002/5*h + 251001/5 + 1/5*h**2.
(h + 501)**2/5
Let g be 2/(-3) - 1 - (-1173)/153. Let a be 210/180*g/28. Factor 0*l**2 - a*l**3 + 0 + 1/4*l.
-l*(l - 1)*(l + 1)/4
Factor 14759 - 185884 - 35*w**3 - 495*w**2 - 45*w**3 - 18742*w + 2647*w + 75*w**3.
-5*(w + 25)*(w + 37)**2
Let z be 56/(-70) - (-10216)/(-180). Let w = 718/9 + z. Factor 2/9*p**2 + w + 40/9*p.
2*(p + 10)**2/9
Let w(b) be the third derivative of 0*b**7 - 1/336*b**8 + 0 - 5/2*b**4 - 2*b - 12*b**3 + 16*b**2 + 1/6*b**5 + 1/8*b**6. Factor w(q).
-(q - 3)**2*(q + 2)**3
Factor -2/3*b**2 - 176/3 + 52/3*b.
-2*(b - 22)*(b - 4)/3
Let p(j) = -18*j**2 - 2359*j + 2338. Let t(d) = -8*d**2 - 1178*d + 1168. Let u(a) = 6*p(a) - 13*t(a). Suppose u(n) = 0. Calculate n.
1, 289
Let a(k) be the second derivative of -k**7/189 - 2*k**6/135 + 8*k**5/45 + k**4/27 - 5*k**3/9 + k - 118. Determine c, given that a(c) = 0.
-5, -1, 0, 1, 3
Let m(d) be the second derivative of 4*d**4/3 + 2354*d**3/3 - 1770*d**2 + 7874*d. Factor m(c).
4*(c + 295)*(4*c - 3)
Suppose -u + 19 = l + 1, -21 = -2*l - 5*u. Suppose 7*n - l - 26 = 0. Factor 8 - 40*v + n*v**2 - 5*v**4 + 7 + 23*v**2.
-5*(v - 1)**3*(v + 3)
Let c = -40 + 40. Let q(y) be the third derivative of 1/1050*y**7 + 0*y**3 - 1/300*y**6 + 0*y**4 + 20*y**2 + 0*y + c + 1/300*y**5. What is a in q(a) = 0?
0, 1
Suppose -q + o - 32 = -6*q, -4*q - o = -26. Let v = q + 3. Factor v*r**2 - 4*r**2 - 4*r**2.
r**2
Let t(k) be the first derivative of 4*k**5/25 - 3*k**4/5 + 4*k**3/5 - 2*k**2/5 - 9178. What is a in t(a) = 0?
0, 1
Let z(n) be the first derivative of 2*n**3/27 - 19*n**2/9 - 28*n/3 + 50. Factor z(w).
2*(w - 21)*(w + 2)/9
Let s be ((4823/(-477))/(-13))/(21/36). Suppose s*c + 8/3 + 1/6*c**2 = 0. Calculate c.
-4
Factor 0 + 0*p**2 + 0*p - 1/4*p**4 - 14*p**3.
-p**3*(p + 56)/4
Let 31*c**4 - 74*c**3 + 31 - 13 + 11*c**4 - 114*c**2 + 118*c**3 + 49*c**3 - 39*c = 0. What is c?
-3, -1/2, 2/7, 1
Let z(p) be the second derivative of 0*p**5 - 16*p + 0*p**3 + 1/3*p**4 - 1/15*p**6 + 0 - p**2. Factor z(b).
-2*(b - 1)**2*(b + 1)**2
Suppose -3088854*c = -3088842*c - 24. Factor -2/5*t**c + 0*t - 6/5*t**4 - 2/5*t**5 - 6/5*t**3 + 0.
-2*t**2*(t + 1)**3/5
Let t(x) be the first derivative of -x**7/126 + x**6/90 + x**5/60 - x**4/36 - 107*x + 157. Let r(y) be the first derivative of t(y). Factor r(w).
-w**2*(w - 1)**2*(w + 1)/3
Let z = -41/7248 + 4/151. Let w(p) be the second derivative of -3*p + 5/24*p**3 + 0 + z*p**4 + 1/2*p**2. Let w(o) = 0. What is o?
-4, -1
Let a be -3 - -2 - (-663)/612. Let f(p) be the second derivative of 0 + 1/3*p**3 + a*p**4 + 0*p**2 - 11*p - 1/20*p**5. Factor f(d).
-d*(d - 2)*(d + 1)
Let q(i) = -i + 21. Let n(h) = 2*h - 47. Let t(f) = -2*n(f) - 5*q(f). Let j be t(13). Solve -6/5*b - 2/5*b**j - 4/5 = 0 for b.
-2, -1
Let r(n) = 3*n**2 + 790*n - 1632. Let b(z) = -z**2 - 398*z + 816. Let d(o) = -5*b(o) - 2*r(o). Suppose d(s) = 0. Calculate s.
2, 408
Let c(x) be the second derivative of x**7/168 - x**6/10 + 23*x**5/80 + 7*x**4/2 - 51*x**3/2 + 54*x**2 - 75*x - 1. Find h such that c(h) = 0.
-4, 1, 3, 6
Let o(r) be the first derivative of 28/3*r**3 - 100 - 31/2*r**2 + r**4 + 8*r. Find q such that o(q) = 0.
-8, 1/2
Suppose 2*q - 116 = -112. Determine b so that 54*b + q*b**2 - 90*b + 60*b - 26 = 0.
-13, 1
Let w(i) be the first derivative of 49*i**5/12 + 35*i**4/12 + 5*i**3/6 + 33*i**2 - 2*i - 96. Let k(m) be the second derivative of w(m). Factor k(q).
5*(7*q + 1)**2
Let y = 747 - 744. Find x, given that -35*x**3 + 40 + 80*x**2 + 108*x - 24*x**4 - 4*x**5 + 56*x**3 - 12*x**3 - 17*x**y = 0.
-5, -1, 2
Let 1/6*d**5 + 97/6*d**2 - 11/2*d**4 - 5*d - 32/3 + 29/6*d**3 = 0. What is d?
-1, 1, 2, 32
Suppose 2*w - 1529 + 65 = 0. Let a = w + -732. Suppose 3/2*l**2 - 1/4*l**4 + 2*l + 3/4 + a*l**3 = 0. Calculate l.
-1, 3
Let b = -68289 - -68292. Determine h so that 7/4 + 15/4*h + 1/4*h**b + 9/4*h**2 = 0.
-7, -1
Let w(k) = k**3 + 20*k**2 + 148*k + 117. Let n(t) = -2*t**3 - t + 1. Let v(s) = 3*n(s) + w(s). Find a, given that v(a) = 0.
-3, -1, 8
Suppose -x = 5*g - 18695, 3*g + 2*x + 3750 = 4*g. Let k be (-10)/(g/(-77))*(-8)/(-14). Factor 6/17*w**2 + 2/17*w**3 + k + 6/17*w.
2*(w + 1)**3/17
Let f(q) be the first derivative of -q**6/7 + 92*q**5/35 + 16*q**4/7 + 997. Let f(d) = 0. What is d?
-2/3, 0, 16
Let s = 9243/15380 + -3/3076. Let g(f) be the first derivative of -40 + 3/5*f**2 - 3/10*f**4 + 3/25*f**5 + 0*f**3 - s*f. Factor g(m).
3*(m - 1)**3*(m + 1)/5
Let y(l) = 6*l**2 + 512*l - 761. Let p(t) = 5*t**2 + 458*t - 762. Let i(z) = 7*p(z) - 6*y(z). Factor i(d).
-(d - 128)*(d - 6)
Let a(j) be the first derivative of 1/9*j**3 - 126 + 2/3*j**2 + j. Solve a(r) = 0 for r.
-3, -1
Let c(h) be the first derivative of -2*h**7/945 - h**6/135 + 7*h**5/135 - 2*h**4/27 + 5*h**2 - 76. Let d(i) be the second derivative of c(i). Factor d(m).
-4*m*(m - 1)**2*(m + 4)/9
Let a(b) = b**2 + 9*b - 11. Let q be a(-11). Suppose -q*c**2 + 5*c**2 + 39*c**2 - 13*c**2 + 4*c + 16*c**3 = 0. What is c?
-1, -1/4, 0
Let k be ((-1413)/(-5024))/(3/8). Factor 363 - 33*o + k*o**2.
3*(o - 22)**2/4
Let z = -67 + 61. Let f be 4/z + 143/39. Factor f*p**2 + 3*p + 372 - 3*p - 384.
3*(p - 2)*(p + 2)
Let z(i) = 3*i**2 - 651*i - 12. Let f(g) = -g**2 + 266*g + 5. Let v(b) = 12*f(b) + 5*z(b). What is r in v(r) = 0?
0, 21
Find q, given that 16*q**3 + 42 - 16*q - 2/3*q**4 - 124/3*q**2 = 0.
-1, 1, 3, 21
Let q(s) be the first derivative of 4*s**3/3 + 128*s**2 + 1180*s + 2542. Solve q(z) = 0 for z.
-59, -5
Suppose -4*w + 23 = 2*v - v, 5*v = 4*w - 5. Factor -4*t + 26*t**3 - 16*t**2 - 92*t**5 + 96*t**w + 8*t - 16*t**4 - 2*t**3.
4*t*(t - 1)**4
Let 9*x**3 + 42*x**4 - 85*x + 95*x**3 - 8*x**5 - 20*x**2 - 70 - 59*x = 0. What is x?
-1, 5/4, 7
Let w = 10/33 - -16/165. Let i be 16/(-21)*(-3066)/1460. Find v such that 8/5 + w*v**2 + i*v = 0.
-2
Let c(r) be the first derivative of -r**5/40 - 7*r**4/16 + 29*r**2/2 + 2*r - 34. Let t(x) be the second derivative of c(x). Factor t(p).
-3*p*(p + 7)/2
Let d = -105756/5 + 21152. Factor d*j**5 + 0*j + 0 + 4/5*j**2 - 4/5*j**4 - 4/5*j**3.
4*j**2*(j - 1)**2*(j + 1)/5
Let -3*r**3 - r**3 - 9823*r**2 + 19486*r**2 - 136*r - 9739*r**2 = 0. What is r?
-17,
|
{
"pile_set_name": "DM Mathematics"
}
|
h/1*(-1 + 2)?
5
Let q be (6 + 84)*12/10. What is the units digit of q/20 + 2/(-5)?
5
Let o be (-88)/14 - 10/(-35). Let y(d) be the first derivative of d**3/3 + 3*d**2 + 3*d + 1. What is the units digit of y(o)?
3
Let t(y) = 4*y**3 + 1. Let v be t(1). Suppose -2*g - g = -3*n + 81, v*n = 3*g + 125. What is the units digit of n?
2
Suppose -3*y + y + 4 = 0. Suppose -8 = -2*c + y. Suppose -15 = -5*u - 5*r, -2*u + 4*r = -c - 7. What is the units digit of u?
4
Suppose 0*p = -p. Suppose p = -4*k - f + 35, -f = 4*k - 5*f - 40. What is the units digit of k?
9
Let f = -92 - -155. What is the tens digit of f?
6
Let y(n) = 53*n**2 - n. Let m be y(1). Let w = 80 - m. What is the units digit of w?
8
Let k = -32 - -55. What is the tens digit of k?
2
Let z(x) = -x**3 - 5*x**2 + 6*x + 1. Let t = 12 - 18. What is the units digit of z(t)?
1
Let g(d) = 2*d**3 - 2*d**2 - 2*d - 1. Let l be g(-1). What is the units digit of l + (-42)/(-1 + -2)?
1
Suppose -696 = -16*i + 10*i. What is the units digit of i?
6
Suppose 4*p - 7*w - 32 = -3*w, -4*p + 3*w + 27 = 0. Suppose -2*s + 5 = p*s. Suppose o = 4 - s. What is the units digit of o?
3
Suppose 4*i + 3*i = 378. What is the tens digit of i?
5
What is the units digit of (3/6)/((-2)/(-236))?
9
Suppose -d = -57 - 60. What is the tens digit of 2*(d/6 + -2)?
3
What is the tens digit of (-60)/48*-14*2?
3
Let i = 13 + -8. Let y = 6 - i. What is the units digit of y?
1
Let s(w) be the second derivative of w**5/20 + w**4/3 - 5*w**3/6 + 3*w**2/2 + w. Let y be s(-5). Suppose 5*f + y - 63 = 0. What is the units digit of f?
2
Suppose 2*y + 3*y - 70 = 0. What is the tens digit of y?
1
Let w be -6*((-12)/9 - -1). Suppose 0 = -2*m + 3*b + 59, -m - w*b - 3*b + 49 = 0. What is the tens digit of m?
3
Let j be ((-18)/(-12))/((-3)/(-8)). Suppose -j*l = -l - 9. What is the units digit of l?
3
Suppose 5*g = 3*g - 5*r + 6, -9 = -3*g + r. Suppose u + 6 = g*u. What is the units digit of u?
3
Let x = -65 + 114. What is the tens digit of x?
4
Let r = -131 - -286. Suppose -3*v = -8*v + r. What is the units digit of v?
1
Suppose 0 = -5*o + 3 + 7. Suppose -g + 39 = 3*h, -4*g = o*h - 3*g - 26. What is the units digit of h?
3
Let l(k) = -7*k + 1. Let o be l(1). Let z = o + 10. Suppose -24 = -3*j - 3*c, z*j = 2*j + c + 31. What is the tens digit of j?
1
Let f = 78 + -54. What is the tens digit of f?
2
Let a = 24 - 19. Let v be 36/(((-18)/4)/(-3)). Suppose 3*h - 11 = o + a, o + v = 5*h. What is the units digit of h?
4
Let i(z) be the third derivative of -z**5/30 - 13*z**4/24 - 7*z**3/6 - 5*z**2. What is the units digit of i(-5)?
8
Suppose -196 = -10*d + 734. What is the units digit of d?
3
Let j = 45 - 33. What is the tens digit of j?
1
What is the tens digit of (-2)/6 + (-110)/(-6)?
1
Let p(j) = 4*j + 2. Suppose 5*i - 2*i + 37 = -5*r, -2*r - 14 = i. Let v = 7 + i. What is the tens digit of p(v)?
1
Suppose 38 = 3*b + 5. Let y = b - 5. Suppose -3*a + y*a - 24 = 0. What is the units digit of a?
8
What is the units digit of -4 + 36 + 0 - 3?
9
Let b be ((-66)/(-4))/((-15)/(-100)). Suppose -7*g + 2*g + b = 0. What is the units digit of g?
2
Suppose -1011 = -5*r - 4*n, -r + 3*n + 206 = -0*n. What is the units digit of r?
3
Let w(g) = g**2 - 4*g - 10. Let j be w(-4). Let u = -11 - -7. Let c = j + u. What is the tens digit of c?
1
Let l(q) = -q**3 + 10*q**2 - 9*q + 3. Let n be l(9). Let s(t) = -4 - 2*t**3 + t**3 + 4*t + 0*t**3 + 3*t**2. What is the units digit of s(n)?
8
Let p = 24 + -9. Suppose 0 = -t + p - 3. What is the units digit of t?
2
Suppose 0 = 3*v - 2*v - 34. Let d = v + -21. What is the units digit of d?
3
Let l = 39 + -22. Suppose 0 = -5*f + 5, 4 = -r - f + l. What is the tens digit of r?
1
Suppose -t = -3 - 0. Let p be ((-16)/3)/(3/(-9)). Suppose 4 = -t*g + p. What is the units digit of g?
4
What is the units digit of 2/9 - (-14)/18?
1
Let k = 121 - 72. What is the tens digit of k?
4
Suppose 3*g = 4*s - 75, 4*s = 4*g + g + 69. Suppose -2*w + 5*w - s = 0. Suppose -3*l + 23 = -w. What is the units digit of l?
0
Let l(u) = -u**3 + 17*u**2 + 19*u + 20. What is the units digit of l(18)?
8
Suppose -s + 3*q + 195 - 1 = 0, 0 = 5*s - 2*q - 918. What is the units digit of s?
2
Let z = 46 - -48. What is the tens digit of z?
9
Suppose m = 3*m - 12. Suppose 0 = s - m*s + 45. Let k = -5 + s. What is the units digit of k?
4
Let u be (-149)/(-4) + 5 - (-6)/8. Suppose -4*k - 4*p + 3*p + 113 = 0, 3*p = 3*k - 81. Let j = u - k. What is the units digit of j?
5
Let a be ((-8)/3)/((-2)/3). Suppose a*u + 31 = 75. What is the tens digit of u?
1
Let j be 10/5 + (-9)/(-1). Suppose 0 = -2*d - 1 - j. What is the units digit of (-16)/(-3)*(-9)/d?
8
Suppose -2*i + 4*l + 54 = 0, -52 - 17 = -3*i + 2*l. What is the units digit of i?
1
Suppose -5*o - 8 = -38. Let s be (-2)/o + (-26)/(-6). Suppose -3*w - 5*n = -60, s*w - 4*n - 31 = 17. What is the units digit of w?
5
Suppose -2*q = -2*t - t + 33, -3*q = -4*t + 43. Suppose b = -0*b + 2. Suppose b*c - t = 17. What is the tens digit of c?
1
What is the tens digit of (-6)/15 - ((-2588)/(-10))/(-2)?
2
Suppose -3*b = -b - 56. Suppose 0 = -w + 2*z - 27, -w = -z - 3*z + 35. Let j = b + w. What is the units digit of j?
9
Let q = -29 - -72. What is the units digit of q?
3
Suppose -y + 3*z - 3 - 7 = 0, y + 4*z = 18. Suppose 38 = 3*f - y*x, 2*f - 4*x = -f + 40. What is the tens digit of f?
1
Let c(t) = -13*t + 19. What is the units digit of c(-3)?
8
Let x(a) = -22*a**2 + a - 1. Let k be x(1). Let i be (-592)/11 - (-4)/k. What is the units digit of 2/9 - 420/i?
8
Let p be (1/2)/(4/32). Suppose 2*s - 8 = -p*t, -t - 6 = -4*t - 5*s. Let y = 0 + t. What is the units digit of y?
2
Suppose -3*f - 4*k = -145, 9*f = 4*f + 4*k + 295. What is the tens digit of f?
5
Let b(z) = -22*z - 44. What is the tens digit of b(-9)?
5
What is the tens digit of -45*(-2 - ((-16)/3 - -4))?
3
Let l(d) = -d + 11. Let a be l(9). What is the tens digit of ((-40)/(-28))/(a/14)?
1
What is the units digit of ((-10)/6)/((-14)/210)?
5
Let c = 88 + 215. What is the hundreds digit of c?
3
Suppose 10*a + 115 = 15*a. What is the tens digit of a?
2
Let h = -79 - -175. Suppose -4*x + 4*y + h = 0, -3*y + 49 = x + y. What is the units digit of x?
9
Let b(x) be the second derivative of x**5/20 + x**4/2 - x**3/6 + 7*x**2/2 + x. What is the tens digit of b(-6)?
1
Let u(n) = 314*n - 6. What is the units digit of u(1)?
8
Let g be (-3)/4 - (-118)/8. Let f = 8 + g. Suppose -2*y - 4*l + f = 4, 3*y - 21 = -4*l. What is the units digit of y?
3
Let z = -4 - -6. What is the units digit of (6/(-10))/(z/(-10))?
3
Let h = -14 - -22. Let o(t) = -t**2 + 8*t - 12. Let r be o(h). Let b = -6 - r. What is the units digit of b?
6
Let y(w) = w**3 + 10*w**2 - 12*w + 4. Suppose 0 = k - 9 + 20. What is the tens digit of y(k)?
1
Suppose -2*i + 4 = -r - 2, 4*i = -4*r + 24. What is the units digit of i?
4
Let w = 7 + -2. Let v = -3 + w. Suppose s = v*s - 17. What is the tens digit of s?
1
Let p(s) be the first derivative of s**3/3 - 4*s**2 + 10*s + 2. Let y be p(7). Suppose 0 = y*q - 16 + 1. What is the units digit of q?
5
Suppose -3*a = 3*x - 2*x + 4, 5*x - 10 = -5*a. Let z(b) = -4*b. Let u be z(x). What is the units digit of 2*-2*u/8?
0
Let k(t) = 35*t**2 - t. Let n be k(1). Let a = n + -13. What is the units digit of ((-36)/a)/(1/(-7))?
2
Let c(h) = 3*h + 1. Let a = 6 + -10. Let s(n) = -n**2 - 5*n - 2. Let j be s(a). What is the units digit of c(j)?
7
Let j = 101 - 0. What is the tens digit of j?
0
What is the tens digit of ((-1)/(-2))/(1/170)?
8
Suppose -4*s + 202 = -s + l, -5*s + 334 = -l. What is the units digit of s?
7
Suppose -3*j + 611 = -5*p, 191 + 31 = j + 2*p. What is the units digit of j?
2
Suppose 3*a - 226 = -3*z - 2*z, -a - z = -72. What is the units digit of a?
7
Let b(l) = -l**2 - 7*l - 3. Let z(c) = -c**3 - 3*c**2 + 4*c. Let w be z(-4). Let v be -12*2/(4 + w). What is the units digit of b(v)?
3
What is the units digit of 0 - 1 - -1 - (-39 - 1)?
0
Let s = -20 + 50. Suppose -4*b + b - s = 0. What is the units digit of 88/20 + 4/b?
4
Let s(n) = -n**2 - 8*n - 8. Let v be s(-7). What is the units digit of -3*((-10)/6 - v)?
2
What is the units digit of (42 + 2/(-2))*1?
1
Let g = 45 - 25. What is the tens digit of g?
2
Let p = 6 - -8. What is the tens digit of p?
1
Suppose -2*z - 22 = -n + 3*z, 0 = -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
-2.8 (d) 1
a
Which is the fourth biggest value? (a) 69 (b) -5 (c) -130 (d) 1/2
c
What is the smallest value in -3/5, -6/41, -4, -3, 1/5?
-4
What is the second smallest value in -18, 0, -242/7, 0.2, -1/2, -10?
-18
Which is the third biggest value? (a) -0.9 (b) 10 (c) 2/193 (d) 6/13 (e) 2/3
d
Which is the biggest value? (a) -0.076 (b) -219 (c) -952
a
What is the third biggest value in -2/9, -0.1, 63, 0.2, -0.01?
-0.01
Which is the sixth smallest value? (a) 9 (b) 5 (c) 2 (d) -0.04 (e) 50 (f) -1 (g) -19
a
Which is the third biggest value? (a) -5 (b) 75 (c) 0.03427
a
Which is the smallest value? (a) -2 (b) -14 (c) 1/3 (d) -47678
d
Which is the second biggest value? (a) -3 (b) -3/122 (c) -1/18 (d) -1412
c
What is the fifth biggest value in -4/5, 160, 17, 1/3, 0.065, -5/2, 0?
0
What is the third biggest value in 1228700, -0.2, 0, 0.06?
0
What is the second biggest value in -521, 4, 38462/13?
4
Which is the fourth smallest value? (a) 6 (b) -2/5 (c) 417 (d) 2/39 (e) -0.02
a
What is the second smallest value in 70, -5222, -0.75?
-0.75
Which is the fifth biggest value? (a) -0.5 (b) -0.4 (c) -0.2 (d) 0.1 (e) 66 (f) -2/3 (g) 1042
b
Which is the sixth biggest value? (a) -3334 (b) 1 (c) 8 (d) 26 (e) 2 (f) -4/5
a
Which is the second biggest value? (a) 5/48 (b) 0.4 (c) -0.6 (d) -2/401 (e) 2/7
e
What is the second smallest value in 3, -4524, -0.2, -4.38, -3?
-4.38
What is the fourth biggest value in -0.06078, -1/6, 24, -2.58?
-2.58
Which is the third smallest value? (a) -709 (b) 2/7 (c) 940/13
c
Which is the fifth smallest value? (a) -1/3955 (b) 0.3 (c) -3/8 (d) 2 (e) 3 (f) -34
d
Which is the third biggest value? (a) -15129 (b) 1 (c) -240 (d) 5/6
c
What is the sixth biggest value in 1, -4, -18295, 5, 37/4, -4/9?
-18295
What is the fourth biggest value in 3, 58.3, -3491, 4?
-3491
What is the second biggest value in -64, 0.0976, -1/2?
-1/2
What is the fourth biggest value in -2/3, -0.03, 0.2, -3, 27, -1?
-2/3
Which is the second smallest value? (a) 24138 (b) 17 (c) 0.4
b
What is the second biggest value in -0.2, 318/25, -0.4?
-0.2
What is the biggest value in -1120/3, 3, 0.7, 5/2, 0?
3
What is the second smallest value in 6, -376, 842?
6
Which is the second smallest value? (a) -1/51 (b) 3/70 (c) -2 (d) 3 (e) -51 (f) -4 (g) -0.4
f
Which is the fifth smallest value? (a) -5 (b) -1.5 (c) 2 (d) -2 (e) -2/17 (f) -7.4
e
Which is the second biggest value? (a) 78/19 (b) 0 (c) -0.3 (d) 17389
a
Which is the sixth biggest value? (a) -36 (b) 1/5 (c) -631 (d) -3/4 (e) 3 (f) -12/11
c
What is the second smallest value in 0.1, -0.2, -15, -0.1, -2/17, 125?
-0.2
What is the smallest value in -41, 8, -2/5, -11/85, -3?
-41
Which is the smallest value? (a) -1/3 (b) 8 (c) 1/142 (d) -415 (e) 1/2 (f) -0.4
d
Which is the smallest value? (a) -549 (b) 23 (c) 15
a
Which is the biggest value? (a) -3/2 (b) -2.38 (c) 7/5 (d) -1 (e) 4/17
c
What is the third smallest value in -1, -18.2, -1631?
-1
What is the fourth smallest value in -24, -1/3, -0.4, 0.5, -66006?
-1/3
Which is the second biggest value? (a) -0.4 (b) -38 (c) 2738121
a
Which is the biggest value? (a) 12 (b) -731297/10 (c) -0.5
a
Which is the sixth biggest value? (a) 2/9 (b) 0 (c) 3 (d) -2/9 (e) -1 (f) -7/100
e
Which is the smallest value? (a) 1 (b) -214 (c) -3 (d) -9 (e) 1/3
b
What is the fourth biggest value in 2/53, -8.4, -289, -2?
-289
Which is the biggest value? (a) -5 (b) 4 (c) -4 (d) 0.3 (e) -0.02 (f) -25/1056 (g) -0.5
b
Which is the second biggest value? (a) 11 (b) 14 (c) 4/5741
a
What is the sixth smallest value in 3, -472/279, -3/5, 5, -3, 1, -0.1?
3
Which is the biggest value? (a) -3764 (b) -2 (c) 2/5 (d) -1 (e) 3 (f) -72
e
What is the second biggest value in -3, 2, -13.5, 41, -6.4, -4, 1/3?
2
What is the second biggest value in -1.7, -1, 12.82863, -4?
-1
What is the third smallest value in -236, 0.2, -2.951, 2/7?
0.2
What is the fourth biggest value in -2627, -7, 5, -0.07, -0.2, 1/18?
-0.2
Which is the second biggest value? (a) -15 (b) 87 (c) -27356
a
What is the fourth smallest value in 37, 75/8, 3/2, -2/5, 1/2245?
75/8
Which is the sixth smallest value? (a) -0.1 (b) -5 (c) 2/5 (d) -5/11 (e) -1 (f) 1435
f
Which is the fourth biggest value? (a) 231 (b) -3 (c) -660/17 (d) 0.3 (e) 5 (f) -2
f
What is the fourth biggest value in 2, -0.5, 4515, 1.7, -2/7, -88?
-2/7
Which is the third biggest value? (a) 1/21 (b) -74 (c) -0.218
b
Which is the sixth biggest value? (a) -79 (b) -5 (c) -2/7 (d) 3 (e) 0.09353 (f) 0.3
a
What is the third smallest value in 296, -2/19, -2/7, -3/5, 1/3, 3, 372?
-2/19
What is the fifth biggest value in -1, 9/4, 0.2, -6, 1/2, 0.596?
-1
Which is the smallest value? (a) 1/92 (b) -14 (c) -2 (d) 0.2 (e) 2.16 (f) -2/3 (g) -1/8
b
What is the smallest value in 4, -34/15, 3/8, -0.01, 0.099?
-34/15
What is the second biggest value in 50, -3283/6, 7?
7
Which is the second biggest value? (a) -7/3 (b) 36 (c) -12 (d) 125 (e) 4/3
b
What is the fifth biggest value in 1, 0.2, -0.5385, 3, -0.1, -265?
-0.5385
Which is the sixth smallest value? (a) 0.5 (b) 1.59 (c) -2.2 (d) 9 (e) 0 (f) -0.4 (g) -0.3
b
Which is the smallest value? (a) 0.4 (b) 154777 (c) 0 (d) 0.1 (e) -8/3 (f) 1
e
What is the smallest value in -45, -4/5, 0.1, 4/79, 0.6, -4?
-45
What is the third biggest value in 3/128, -1/119, -3, 0.4, 9?
3/128
Which is the second smallest value? (a) -1.16 (b) -428 (c) 4/5 (d) 9/5
a
What is the second biggest value in 2, -30879, 0.44?
0.44
What is the smallest value in 3/978890, 4, -2/15?
-2/15
Which is the smallest value? (a) 92 (b) -204 (c) 5 (d) 216 (e) -0.1
b
What is the smallest value in 0.1, 440, 0.4, 236.4?
0.1
Which is the fourth biggest value? (a) 30/181 (b) 4 (c) 0.2 (d) -1 (e) -26
d
What is the second smallest value in -3, 104, -84/13, 0.4, 101, -2/7, -5?
-5
Which is the third smallest value? (a) -0.16 (b) -4 (c) 0.2 (d) -154/13 (e) -0.2
e
Which is the second biggest value? (a) -82 (b) 131/5 (c) -8 (d) 1/10
d
Which is the second biggest value? (a) -2 (b) -2473 (c) 14.23 (d) 0.4
d
Which is the fourth smallest value? (a) 35 (b) 6/5 (c) -5 (d) -8/1361
a
Which is the second biggest value? (a) -0.4 (b) -1/286201 (c) -1 (d) 0.001 (e) -3/8
b
Which is the second smallest value? (a) 4 (b) -4 (c) 1.134 (d) -1/25 (e) 0.1
d
Which is the second smallest value? (a) 182 (b) 5 (c) -7 (d) 4 (e) -3/4 (f) 0.8
e
Which is the biggest value? (a) -5 (b) 808 (c) 3/7 (d) 0.5 (e) -31 (f) 0.013 (g) -2
b
Which is the second smallest value? (a) 1/14 (b) 0.4427 (c) -1 (d) 0 (e) -2/5 (f) -1/3
e
What is the second smallest value in 6/1393, -5, 0.1, -2, 5?
-2
What is the second biggest value in -3/101, -3/2, -23, 0.4, -5?
-3/101
What is the fifth biggest value in -0.3, 0.056, -530, -2/5, 5/2?
-530
What is the second smallest value in 0.1, -2/105, -15/11, -2/187, 0.3?
-2/105
Which is the second smallest value? (a) 8 (b) 2.5 (c) -21.5 (d) -2 (e) -2/5 (f) -4
f
Which is the fifth smallest value? (a) 5/9 (b) -0.0367 (c) -4 (d) -0.1 (e) 7 (f) -4/7
a
Which is the second smallest value? (a) 1/5 (b) -170 (c) -0.1 (d) -31.77 (e) 0.5
d
What is the fourth biggest value in -4/7, 24/13, 3, -1165, 0.3, 2/25?
2/25
Which is the fourth smallest value? (a) -0.61 (b) 5 (c) 0.02 (d) -438 (e) -12 (f) -4 (g) -1/3
a
Which is the biggest value? (a) -1777 (b) 4 (c) -0.23638
b
Which is the fifth smallest value? (a) 8 (b) 1 (c) -5 (d) 203 (e) 4 (f) -2/35 (g) -0.4
e
What is the third biggest value in -1/4, -19/21, 1/5, -5/16, -3/5, 3?
-1/4
Which is the second biggest value? (a) -2/3 (b) 48.3 (c) -10 (d) 2 (e) -1/5
d
What is the sixth biggest value in 1/4, -14, 3/4, -2, -0.4, -3/8?
-14
What is the second smallest value in 0, -116, -45217?
-116
Which is the third biggest value? (a) 2/7 (b) 0.25 (c) 2/11 (d) 221
b
Which is the third smallest value? (a) -80 (b) 3.7 (c) -2/3 (d) -1 (e) -0.04
c
What is the biggest value in 1/4, 44, -61, 0.2, 2/7, -64?
44
Which is the smallest value? (a) 1 (b) -60867 (c) 0 (d) 4 (e) 0.4 (f) -0.7 (g) -2/11
b
Which is the third smallest value? (a)
|
{
"pile_set_name": "DM Mathematics"
}
|
4*q - 3*b. Solve -10 = -0*z + q*z for z.
-5
Suppose 11*r - 24 = 5*r. Solve r*a = a for a.
0
Let b(k) = -k**2 + 7*k - 6. Let g be 1*(-1)/1 + 1. Suppose g*l + 5 = l. Let p be b(l). Solve -15 = a + p*a for a.
-3
Let c be (-1)/((-3)/(-9)) + 4. Solve 7 = -2*u - c for u.
-4
Suppose -5*p + 5*k - 5 = 0, 3*k = p - 5*p + 17. Solve p*y + 12 = 5*y for y.
4
Let k be -5*(4/5 - 0). Suppose -5*d = -5*x + 55 + 5, 5*x - 3*d = 50. Let w = x + k. Solve -5*u + w*u - 10 = 0 for u.
-5
Suppose 3*x = -x. Suppose x = 4*g - 0*g - 8. Suppose 4*f + 5 = o + 4*o, 0 = g*f - 4*o + 4. Solve f*v = 4*v + 12 for v.
-3
Let q = -20 + 25. Suppose y - q*j + 11 = 0, 2*y + j + 23 = 5*y. Solve -4*r - y = -1 for r.
-2
Let f be (3/3 - -2) + -9. Let j be 9/f*(-10)/3. Let t be j/3 - 2/3. Solve v - 3 + t = 0 for v.
2
Suppose 0 = -5*s + 3*i + 1, -19 = 2*s - 5*i - 8. Let m be s/(-4)*2 + 3. Solve -2*d - m = -d for d.
-2
Let d(q) = q**3 - 7*q**2 + 4. Let z be d(7). Let i = -1 + 1. Solve i = -a - z + 1 for a.
-3
Suppose 5*v + 0*u - 36 = -2*u, 4*v = -u + 30. Suppose -4*k + 6*k - 28 = 4*c, 4*c + 44 = 3*k. Solve -k = v*h - 4*h for h.
-4
Suppose -5*f + 3*p + 3 = -2, -2*p = 5*f - 5. Solve -z + 0*z + f = 0 for z.
1
Suppose 3 = 5*o + 28, 3*m = 2*o + 22. Let k be (-20)/(-50) + (-206)/(-10). Solve 5*a = -m - k for a.
-5
Suppose 0 = -2*a - 2*a. Solve 2*g - g = a for g.
0
Suppose -4*v + v + 12 = -2*j, -2*j - 16 = -4*v. Suppose -2*t = -8, 2*y + t - 12 = 4. Suppose -p = s - v, p = s + y*p. Solve -s*k = -k + 4 for k.
-1
Let s(o) = -2*o + 4*o**2 + 5*o + 2*o**3 - o**3. Let h be s(-2). Suppose -48 = v - 6*v + f, 9 = h*v + 3*f. Solve -r + 4 - v = 0 for r.
-5
Let k be 5 - -1 - (-2)/2. Solve 20 = -3*f + k*f for f.
5
Let g be 4*(-6 - -2)/8. Let w be g/(-3) - (-4)/3. Solve -w*p + 5 = 3*p for p.
1
Let z = -35 - -37. Solve -z = -0*r - r for r.
2
Let t(v) = -5 - v - v**3 + 3*v + 7*v**2 - v. Let b be t(7). Solve b*q = 4*q for q.
0
Let i(j) = j**2 + 5*j - 1. Let o be i(-6). Suppose 0 = 3*p + y - 5, -3*p + 8*p - o = -y. Suppose -h - 2*h = p. Solve -5*k + h*k - 10 = 0 for k.
-2
Let x(s) = -s**3 - s**2 + 3*s + 3. Let d be x(-2). Let b = d + 4. Suppose -5 = 4*q - 109. Solve b*t - 1 = -q for t.
-5
Let q(x) be the third derivative of -x**4/12 - 5*x**3/6 + 3*x**2. Let f be q(-4). Solve -2*m = -m + f for m.
-3
Suppose 0 = 4*v + 5*o - 45, -v + 2*v + 3*o = 20. Let y = v - 3. Suppose y*t = -0*t. Solve t = -u - 0*u for u.
0
Let k be (-10*(-1)/2)/1. Let m be (2/(-3))/((-1)/18). Let o be (0 - -1) + -3 + m. Solve 0*c + o = k*c for c.
2
Let o be (-2)/(-7) + 36/21. Let j be o/(-2) - (-1 + 0). Solve j*k + k = 1 for k.
1
Let s be (-6)/(-9)*(0 - -6). Suppose -d = -s*d. Solve -2*i = -d*i for i.
0
Let p = 13 - 6. Suppose 4 = 4*u - 2*u. Suppose -5*v + 5 = -u*g, 0 = 2*v + g + 3*g - 26. Solve -v*b - 4 = -p*b for b.
1
Let l(r) = -r**2 + 3*r + 2. Let y be l(5). Let s = 13 + y. Suppose -s*x + 20 = 5*f, -2*f - 3 = -5*x + 3. Solve x*p - 7 = -1 for p.
3
Let t(z) = z - 8. Let v be t(8). Suppose -3*g = -2*g + 2, m + g = 0. Let y = m + v. Solve -y*d = -0*d + 10 for d.
-5
Let l(p) = p**2 + 7*p + 8. Let g be l(-7). Let m be 4/12 - 1/3. Solve 3*n - n - g = m for n.
4
Suppose 0 = 3*w + 2*k - 5, -15 = -k + 4*k. Solve c = w*c + 4 for c.
-1
Let i(u) = u**2 + 6*u + 8. Let q be i(-2). Solve q*a - 2*a = 6 for a.
-3
Let f be (-11 - -7)*3/(-4). Let t be f - 3/3 - 2. Suppose 5*z - 59 = -3*j, t*z + 2*z = 2*j - 50. Solve 3*c = -8 + j for c.
5
Let l = 4 + -1. Solve -l*m + 2*m = 0 for m.
0
Let z(p) = 20*p**2 + p. Let v be (-1)/(-3)*3 - 0. Let f be z(v). Solve 4*h + 5 = f for h.
4
Let h(z) = z**3 + 17*z**2 + 16*z + 2. Suppose 80 = -3*g - 2*g. Let w be h(g). Solve w*v = 3*v for v.
0
Let j = -9 + 1. Let s = j + 19. Solve 2*f = 1 - s for f.
-5
Suppose 3*x - 6 - 12 = 0. Solve k = x*k + 25 for k.
-5
Let t(k) = 5*k + 1 - 1 + 2 + 4 - k**2. Let m be t(6). Let d = m + 2. Solve -3*c - d = 1 for c.
-1
Suppose 0 = -2*k + k - 5. Let z be (-4)/10 - 17/k. Suppose 4*m - 15 = -z. Solve -b = m*b for b.
0
Suppose 2*x + x + 3*t = -6, 4*t + 16 = 0. Solve x*a - 7*a = 0 for a.
0
Suppose 8*w = 7*w + 2. Solve -2*t - w*t + 16 = 0 for t.
4
Let f = 16 + -12. Solve 4*g + 8 = -f for g.
-3
Let k(i) = i**2 - 2*i. Suppose 0 = -0*x - x - 2*n + 2, 3*x - 6 = 5*n. Let u be k(x). Solve j + u*j = 2 for j.
2
Let o be (-5)/(-2) - 2/4. Solve 3*j = 1 + o for j.
1
Let x be 222/11 - (-12)/(-66). Let q be x/6*48/40. Solve -q*g = -0*g for g.
0
Let t be 26/(-117) + 20/9. Suppose -k - t*k + 18 = 0. Solve 3*a - a - k = 0 for a.
3
Suppose 7*c = 2*c + 100. Suppose -6*x + 2*x - c = 0. Let u be -4 - x - -2*1. Solve -u*q + 14 = -1 for q.
5
Let a(p) = -p**3 + 6*p**2 - 6*p + 6. Let j be a(4). Solve -4*v = -j + 2 for v.
3
Suppose 4*u - 46 = 2*j - 4*j, -56 = -4*u - 4*j. Let y be 1 + 1 + (u - 6). Solve -y = 4*l + 7 for l.
-3
Let b = 5 - 0. Solve -1 - b = 2*t for t.
-3
Let g be 422/8 - 2/(-8). Suppose 7 = -4*c - w + 71, -g = -3*c - 2*w. Suppose -21 = -2*q + c. Solve q = 4*h - 2 for h.
5
Suppose -3*i + 0*i = 0. Solve i*a = -a - 3 for a.
-3
Let m(w) = w + 6. Let d be m(-6). Suppose d*x - 20 = -2*x. Let q be (2 + -2)/(-1 - 0). Solve q*j + 5*j = -x for j.
-2
Let y(q) = q**2 - 2*q - 3. Let p be y(3). Suppose 4*s - 20 = -p*s. Suppose 2*v - s = v. Solve v*r + 12 = 2 for r.
-2
Let l(b) = -b**3 + 0*b - 2*b**3 + b + 2*b**2. Let u be l(-1). Solve u = -r + 7 for r.
3
Let d(c) = -2*c - 4. Let q be d(-4). Suppose 3*i = -4*t + q, 0 = 5*t - t + 8. Solve 2 - 10 = -i*f for f.
2
Let g be (-1)/(-5) + (-99)/(-55). Solve g = 5*a - 3 for a.
1
Suppose -d = d - 4. Suppose 2 = d*f + 3*c - 3, 2*c = -f + 1. Suppose 5*k = z + 5, 0 = 2*z + 2*z + k - 22. Solve -z*o + f = 2 for o.
1
Suppose -3*t + 21 + 4 = 5*y, -3*y - 5*t + 15 = 0. Suppose 0 = -0*f - y*f + 20. Solve -f*g + g = 0 for g.
0
Suppose 0 = -y + 6*y - 5. Solve -5*t + y = 6 for t.
-1
Let t be 39/(-4) + (-1)/4. Let n be 3*1*t/(-6). Let g = -3 - -3. Solve n*y + 10 = -g*y for y.
-2
Let u(x) = x - 16. Let y be u(18). Solve -25 = -y*h + 7*h for h.
-5
Let p(g) = g**3 + 2*g**2 - 4*g. Suppose -3*i - 4*a - 5 = -3*a, 3*i = 5*a - 29. Let o be p(i). Solve -r = o*r + 16 for r.
-4
Suppose j + 10 = 5*x - 3*j, -5*j = -2*x - 13. Solve 2*l = -l - x for l.
-2
Let l = 1 - 0. Let j = 75 + -72. Solve -j = q - l for q.
-2
Suppose -2*t = -6, z + 4*t = -0*t + 19. Let n = z - 4. Solve -b + n = 5 for b.
-2
Let m be 5*-3*1/(-3). Suppose -6*t = -7 - m. Solve -6*l + t*l = 0 for l.
0
Let m be -9*(1 + -2)/1. Solve -1 = 2*f + m for f.
-5
Let l(r) be the first derivative of -r**3/3 - 3*r**2 - 10. Let p be l(-6). Solve p = -4*y + 7 + 5 for y.
3
Suppose 15 = 5*l - 5. Suppose -l = -2*x - 0*x. Suppose 0 = x*t - 4*t + 4. Solve -t = s + s for s.
-1
Let u = -26 - -30. Solve -u*x + 11 = -1 for x.
3
Let n(z) = -z**3 + 5*z**2 - z + 7. Let b be ((-2)/(-3))/(4/150). Suppose g + b = 6*g. Let p be n(g). Solve 0 = 3*d + p*d for d.
0
Suppose 5*v + 2*v - 42 = 0. Solve 5*k + v + 19 = 0 for k.
-5
Suppose 0 = -5*h - 3*o + 23, 0*o - 1 = -o. Suppose -6 = g - 3*g. Solve -5*s + h = -g*s for s.
2
Let k(g) = 3*g**2 - 2*g - 6. Let q(t) = -t**2 - t. Let j(n) = k(n) + 4*q(n). Let m be j(-4). Solve h - 5 = -m for h.
3
Suppose -2*i + 2*r - 5 = -19, -4*r = -3*i + 17. Suppose 4*m - i = 1. Solve 4*h = -m - 1 for h.
-1
Suppose -5 = -3*s + 2*s. Suppose -2*r = -6*r + 16. Solve -u + r = -s*u for u.
-1
Let d be 1 - (2 - (-1 + 4)). Suppose k - 4 = -d. Solve k = -3*q - 1 for q.
-1
Let c be 48/(-18)*(-2 - -5). Let m = c - -8. Solve m = 3*t - 0*t + 15 for t.
-5
Suppose -8 = 4*q - 4*l - 4, 4*q + l - 16 = 0. Solve a + q = -1 for a.
-4
Let i = -20 - -22. Solve -i - 2 = 2*n for n.
-2
Suppose 0 = -i + 1 + 3. Let u(j) = j**3 - 4*j**2 + 5. Let w be u(i). Solve w*b - 5 = 4*b for b.
5
Let w = 69 + -64. Solve w = -5*b + 15 for b.
2
Let f be ((-12)/(-5))/((-2)/(-10)). Suppose 44 = -3*b + g + 18, 4*b = -4*g - 24. Let i be (6/b)/((-3)/8). Solve -2 + f = i*x for x.
5
Suppose 6 - 1 = j. Suppose -z + 10 = a, -j*a - 3*z - z + 45 = 0. Solve -a*b - 3 = 2 for b.
-1
Suppose -3*u - 25 = 2*u. Let j be ((-2)/(-4))/(u/(-20)). Solve -2*i + i - j = 0 for i.
-2
Suppose 9*t - 12*t + 6 = 0. Solve t*h + 3*h = 0 for h.
0
Suppose -q + 1 + 2 = 0. Let r be -1 + 5 - (-4 - -2). Let f be (0 - -6)/3 - 2. Solve f*l = q*l - r for l.
2
Suppose -3*t + 22 = 7. Solve -5*c + t = -5 for c.
2
Let h(c) = -c**2 + 6*c - 1. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
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