text stringlengths 270 8.19k | meta dict |
|---|---|
ive p(8).
25
Let g(n) = -9*n**3 + 26*n**2 + 63*n + 15. Give g(-2).
65
Let g(x) = -x**3 + 16*x**2 - 29*x - 9. Determine g(15).
-219
Let f(u) = 6*u + 727. What is f(-59)?
373
Let o(w) = -187*w - 16460. What is o(-88)?
-4
Let r(y) = 655*y + 61561. Calculate r(-94).
-9
Let h(j) = -2*j - 75. Determine h(-35).
-5
Let b(l) = -2*l**3 - 184*l**2 - 191*l - 829. What is b(-91)?
-10
Let d(v) = 59*v**2 + 7*v + 3. Give d(1).
69
Let x(b) = -b**3 - 19*b**2 + 7*b - 255. Give x(-20).
5
Let k(f) = -f**2 - f + 135. Calculate k(11).
3
Let z(b) = -312*b + 7803. What is z(25)?
3
Let a(j) = 5*j + 624. Give a(-37).
439
Let u(n) = n**3 - 77*n**2 - 161*n + 245. Determine u(79).
8
Let o(l) = -377*l - 748. Determine o(-2).
6
Let i(j) = 16*j**3 + 145*j**2 + 32*j + 214. Calculate i(-9).
7
Let z(k) = -k**2 + 684*k - 13278. Determine z(20).
2
Let h(r) = 101*r**2 + 13*r + 14. Calculate h(-1).
102
Let l(h) = 38*h - 1028. Determine l(27).
-2
Let k(p) = 15*p - 10. What is k(5)?
65
Let m(v) = -206*v**2 - 5*v + 4. Calculate m(1).
-207
Let r(b) = 4*b**2 + 8*b + 104. Calculate r(0).
104
Let y(z) = -60*z - 538. Give y(-9).
2
Let w(h) = h**2 + 214*h + 9142. What is w(-59)?
-3
Let l(o) = 7320*o + 182995. What is l(-25)?
-5
Let m(n) = -n**3 + 28*n**2 - 258*n + 4576. Calculate m(25).
1
Let s(r) = 21*r**3 - 15*r**2 - 36*r - 5. Give s(-2).
-161
Let n(b) = 21*b**3 + b**2 + 4*b - 5. Give n(1).
21
Let w(c) = c**3 + 19*c**2 + 2*c + 439. Calculate w(-20).
-1
Let z(o) = 7*o + 84. Calculate z(-14).
-14
Let u(q) = -18*q**3 - 1098*q**2 - q - 54. Calculate u(-61).
7
Let a(j) = 411*j + 5823. What is a(-14)?
69
Let p(h) = 17*h**2 + 2*h + 21. Give p(-4).
285
Let s(v) = -2*v - 135. What is s(-21)?
-93
Let y(o) = 2*o**3 + 6*o**2 - 78*o - 604. Determine y(-9).
-874
Let k(p) = -88*p - 4. Calculate k(-3).
260
Let q(b) = -199*b - 1426. What is q(-7)?
-33
Let g(i) = -i**3 - 13*i**2 + 47*i + 580. What is g(-13)?
-31
Let f(w) = -11*w**2 + 935*w - 5. What is f(85)?
-5
Let g(n) = n**3 + 15*n**2 - 46*n - 5. Determine g(3).
19
Let x(g) = 43*g + 646. Give x(-15).
1
Let g(o) = -2*o**3 - 9*o**2 - 69*o - 369. Determine g(-5).
1
Let p(s) = -s + 29. Give p(23).
6
Let q(j) = -1163*j + 10457. Give q(9).
-10
Let f(m) = -52*m - 3959. Determine f(-76).
-7
Let d(s) = 12*s**2 - 14*s - 14. Calculate d(11).
1284
Let h(k) = -62*k - 4. What is h(2)?
-128
Let a(j) = 2*j**2 - 33*j + 95. What is a(23)?
394
Let n(d) = -64*d + 708. What is n(11)?
4
Let g(v) = -10*v - 36. Calculate g(0).
-36
Let l(n) = -709*n - 20551. Calculate l(-29).
10
Let z(s) = -s + 35. Calculate z(-6).
41
Let x(v) = 11*v**3 + 39*v**2 - 10*v - 1. What is x(-3)?
83
Let y(w) = 2537*w + 10154. Give y(-4).
6
Let q(p) = p**2 - 5657*p + 118349. Give q(21).
-7
Let x(a) = 232*a + 36188. Calculate x(-156).
-4
Let w(d) = -343*d - 8584. Determine w(-25).
-9
Let h(d) = d**3 + 39*d**2 + 139*d - 31. Give h(-35).
4
Let r(a) = -200*a + 6305. Give r(31).
105
Let n(t) = t**2 - 314*t - 3863. Give n(-12).
49
Let f(b) = -2*b**2 - 149*b - 287. Determine f(-2).
3
Let c(m) = m**2 - 108*m + 1184. What is c(13)?
-51
Let n(b) = 1762*b + 12354. Give n(-7).
20
Let c(p) = -p**3 - 15*p**2 - 112*p - 1380. Give c(-14).
-8
Let q(c) = -109*c + 1213. Calculate q(11).
14
Let y(v) = 3*v**3 - 2*v**2 + 59*v - 216. What is y(3)?
24
Let v(y) = -y**2 - 102*y + 292. Determine v(-105).
-23
Let y(c) = c**2 + 41*c + 231. Give y(-28).
-133
Let w(t) = -3*t**2 - 481*t + 1982. Determine w(4).
10
Let q(v) = v**3 - 38*v**2 + 7*v + 35. Calculate q(38).
301
Let c(z) = -306*z + 26306. Determine c(86).
-10
Let p(n) = -571*n**2 - 11*n - 10. Give p(-1).
-570
Let d(x) = 4*x - 121. Calculate d(29).
-5
Let z(g) = -9751*g - 29249. Calculate z(-3).
4
Let i(h) = -h**2 + 46*h - 190. Determine i(41).
15
Let l(i) = 59*i - 1632. What is l(27)?
-39
Let b(l) = l**2 + 62*l - 4671. What is b(44)?
-7
Let m(j) = -39*j**3 + 154*j**2 - 16*j + 5. Determine m(4).
-91
Let l(x) = 383*x**2 + 9192*x + 6. What is l(-24)?
6
Let j(z) = 4*z**3 - 43*z**2 - 69*z - 17. Determine j(12).
-125
Let h(t) = -119*t - 1038. Calculate h(-9).
33
Let b(i) = 22*i + 33. Give b(-1).
11
Let c(o) = o**3 - 16*o**2 + 30*o + 2. Calculate c(14).
30
Let p(u) = u**2 - u + 199. Determine p(0).
199
Let o(x) = 4838*x + 14581. Give o(-3).
67
Let x(u) = -u**2 - 29*u - 178. Determine x(-23).
-40
Let v(p) = -179*p**3 + 3*p**2 - 8*p + 4. Determine v(1).
-180
Let v(h) = 36*h - 323. What is v(16)?
253
Let x(m) = m**2 + 35*m + 16. Determine x(-39).
172
Let v(x) = -x**3 - 52*x**2 - 51*x. Determine v(-51).
0
Let p(c) = -482*c + 1023. What is p(2)?
59
Let m(t) = 315*t + 53237. Give m(-169).
2
Let g(b) = b**2 - 62*b + 58. What is g(0)?
58
Let d(h) = 650*h - 1297. Give d(2).
3
Let k(q) = q**3 - 51*q**2 + 597*q - 50. Determine k(20).
-510
Let t(h) = -26*h + 8. What is t(2)?
-44
Let l(h) = 118*h - 1279. Determine l(11).
19
Let v(p) = 10*p**3 - 137*p**2 - 27*p - 217. What is v(14)?
-7
Let f(v) = -3*v**3 + 65*v**2 - 40*v - 28. Give f(21).
14
Let i(o) = -o**3 - 10*o**2 - 5*o + 38. Determine i(-7).
-74
Let v(z) = -1049*z - 7104. What is v(-7)?
239
Let x(n) = -n**3 + 10*n**2 + 30*n - 20. What is x(7)?
337
Let r(g) = g**3 + 54*g**2 - 90*g + 4. Give r(0).
4
Let x(w) = -406*w + 2190. Determine x(6).
-246
Let f(s) = -5*s - 39. Give f(-11).
16
Let z(f) = 67*f + 207. Calculate z(-3).
6
Let x(d) = d**3 + 8*d**2 + 5*d + 41. Give x(-8).
1
Let k(i) = -7*i**2 - 170*i - 27. Calculate k(-25).
-152
Let m(f) = -8*f**2 + 1149*f - 2306. Calculate m(2).
-40
Let r(c) = c**2 + 5*c - 24. Give r(10).
126
Let y(c) = c**3 + 32*c**2 + 89*c + 16. Determine y(-3).
10
Let i(l) = 57*l - 405. What is i(7)?
-6
Let r(o) = 83*o + 766. Give r(-9).
19
Let i(u) = -6*u**3 + 9*u**2 + 9*u + 6. Give i(-3).
222
Let r(t) = 14*t**2 - 59*t - 95. Determine r(-2).
79
Let d(o) = -14*o**2 + 23*o - 82. Determine d(3).
-139
Let y(w) = 6*w**2 + 82*w + 249. Give y(-3).
57
Let d(r) = -5*r**3 - 13*r**2 + 7*r + 16. Give d(-4).
100
Let r(d) = -49*d**2 + 316*d - 20. What is r(6)?
112
Let v(i) = 5*i**2 - 62*i - 41. Give v(16).
247
Let w(a) = -64*a - 253. Determine w(-5).
67
Let w(c) = 4*c**2 - 106*c - 103. Determine w(-1).
7
Let c(y) = 19*y**2 - 49*y - 8. Give c(4).
100
Let m(z) = 228*z + 9347. Give m(-41).
-1
Let f(j) = j**2 - 57*j - 415. What is f(64)?
33
Let o(a) = 36*a + 21. Calculate o(-10).
-339
Let b(t) = 3*t**2 + 10*t - 1031. Give b(17).
6
Let r(z) = -40*z - 539. Determine r(-11).
-99
Let g(z) = z**3 - 36*z**2 + 29*z + 190. Calculate g(35).
-20
Let r(m) = m**3 - 7*m**2 + 27*m - 130. What is r(6)?
-4
Let j(q) = 11*q + 20. Determine j(14).
174
Let t(u) = 2*u**2 - 7*u - 125. Determine t(9).
-26
Let r(n) = -13*n**2 + 201*n - 90. What is r(15)?
0
Let r(w) = 20*w + 105. Calculate r(-10).
-95
Let a(y) = -2*y**2 + 6765*y - 33774. What is a(5)?
1
Let r(b) = -158*b - 132. Calculate r(-1).
26
Let p(z) = z + 25. Determine p(-16).
9
Let y(p) = 21*p**2 + 5*p + 3. What is y(2)?
97
Let m(u) = -36*u - 155. What is m(-18)?
493
Let r(o) = -o**2 + 200*o - 6876. Calculate r(44).
-12
Let c(d) = 88*d - 75. What is c(2)?
101
Let v(t) = -18*t**2 + 80*t + 163. Calculate v(-2).
-69
Let w(k) = k**3 + 21*k**2 - 96*k - 8. Calculate w(-25).
-108
Let v(b) = 3*b - 32. Give v(33).
67
Let h(o) = -29*o**3 + 56*o**2 + 58*o + 4. Determine h(-1).
31
Let d(t) = t**3 + 26*t**2 - 91*t - 117. Determine d(-29).
-1
Let a(j) = 9*j**2 + 59*j + 91. Calculate a(-4).
-1
Let w(t) = -53*t - 907. Determine w(-17).
-6
Let n(k) = -70*k**2 + 778*k - 63. Calculate n(11).
25
Let v(b) = 3*b**2 + 12*b. Calculate v(0).
0
Let p(z) = -79*z - 735. Calculate p(-10).
55
Let h(g) = 3*g**3 - 58*g**2 + 186*g + 140. Determine h(15).
5
Let q(p) = -7*p**2 + 215*p - 619. Give q(28).
-87
Let d(r) = 550*r - 134. Give d(1).
416
Let l(h) = 11*h**3 + 50*h**2 - 2*h - 3. Give l(-6).
-567
Let c(l) = -30*l + 2. What is c(0)?
2
Let g(m) = m**2 - 833*m + 27. What is g(0)?
27
Let z(i) = 5230*i - 209195. Give z(40).
5
Let q(f) = 2*f**3 + 52*f**2 + 53*f + 53. Determine q(-25).
-22
Let d(f) = 2*f**3 + 63*f**2 + 193*f + 34. Determine d(-28).
118
Let m(c) = -54*c + 29. What is m(4)?
-187
Let v(c) = -c**3 - 447*c**2 + 1352*c - 11. What is v(3)?
-5
Let r(v) = 2*v + 449. Give r(1).
451
Let t(u) = 10*u - 202. Give t(43).
228
Let p(h) = -39*h + 356. What is p(9)?
5
Let a(n) = 219*n - 873. Calculate a(4).
3
Let o(p) = 4*p**3 + 8*p**2 + 1 | {
"pile_set_name": "DM Mathematics"
} |
and 11.
11
Let y = 654 + -604. Suppose 177 = 3*t - i - y, -5*i - 395 = -5*t. What is the highest common divisor of 555 and t?
37
Let j be -4*25/(-20) - -3. Let o = 267 - 107. What is the greatest common divisor of j and o?
8
Let h = -28752 + 28914. What is the highest common divisor of h and 2538?
54
Suppose k - q - 125 = 154, q + 559 = 2*k. What is the greatest common divisor of k and 25?
5
Let f(r) = 3*r**2 + 11*r - 11. Suppose x + 2*n = -1 + 6, 2*x + 3*n - 5 = 0. Let c be f(x). Calculate the highest common factor of 3 and c.
3
Suppose 296 + 236 = 21*g + 70. Suppose 6*m - 165 = 3*m. What is the highest common divisor of m and g?
11
Let a(m) = -m**3 + 15*m**2 - 56*m + 251. Let z be a(11). What is the highest common divisor of z and 204?
17
Let t(q) = 66*q + 1502. Let k be t(13). What is the highest common divisor of k and 80?
40
Let u = 141 - 131. Let b(z) = z**2 - 11*z + 13. Let d be b(u). Let t be d - (-1 - -6) - -86. What is the greatest common divisor of 126 and t?
42
Let p be (-30348)/(-90) + (-4)/14 + (-64)/70. Calculate the highest common factor of 216 and p.
24
Let u = -238 + 127. Let p = -762 + 668. Let b = p - u. Calculate the greatest common factor of b and 68.
17
Let k be 14/42*(-54)/2. Let r be 6/(-4)*384/k + -1. Let y(u) = u**3 - u**2 + 7. Let m be y(0). What is the greatest common divisor of m and r?
7
Let g(k) = 4 + k + k**2 + k**3 - 3 - 8*k**2 + 1. Let x be g(7). Let v be ((-30)/18)/(40/(-144)). What is the greatest common factor of v and x?
3
Let y(t) = 28*t + 183. Let c be y(-6). Suppose l = c*l - 238. Suppose 0 = 3*u - 75 - 384. What is the greatest common factor of l and u?
17
Let x(i) = 354*i**2 + 2*i - 8. Let o be x(4). Suppose -34*t - 14*t + o = 0. What is the greatest common divisor of 177 and t?
59
Let p be ((-5)/20*-4*22)/((-2)/(-42)). Calculate the greatest common divisor of 112 and p.
14
Let x be (365 + 56/(-8))*(4 - 3). Calculate the greatest common factor of 6 and x.
2
Let m be (7 + -3 - 9)*-3. Let w be (0 - -10)/(m + -13). Suppose -3*k - 5*u - 40 = -111, 69 = w*k - 4*u. What is the highest common factor of 119 and k?
17
Let h(b) be the first derivative of 3*b - 16*b**2 + 7*b**2 - 18*b**2 - b - 35. Let n be h(-1). What is the highest common divisor of n and 14?
14
Suppose -102*c - 6045 = -107*c - 2*x, 3*c = 2*x + 3627. Calculate the highest common factor of 468 and c.
39
Let u = 5924 - 2914. Calculate the greatest common factor of u and 350.
70
Suppose 9*i - 284 = 5*i - 4*q, 4*q + 260 = 4*i. Calculate the greatest common factor of 164 and i.
4
Suppose -2*r + 11*x - 8*x + 8799 = 0, -5*r + 2*x + 22025 = 0. Let c be r/565 - (-8)/(-10). Calculate the highest common factor of 13 and c.
1
Let r = -40 - -20. Let j be (-158)/(-20) - 2/r. Suppose -f = c - 6, -3*f + 19 = 4*c - j. What is the highest common factor of c and 27?
9
Suppose -24*x + 6431 = -3553. Let p = x + -341. What is the highest common divisor of p and 30?
15
Let t(o) = 36*o**2 - 2203*o - 6605. Let x be t(-3). Let f(m) = 6*m**3 - m**2 - 2*m + 1. Let n be f(2). Calculate the greatest common factor of x and n.
41
Suppose 4518 = 6*z + 4326. Calculate the greatest common divisor of z and 92.
4
Suppose 3*o + 2*y - 1216 = 0, 2*o + 2*y = 178 + 632. Calculate the highest common divisor of 667 and o.
29
Suppose -62*g - 3158024 = -156*g. What is the greatest common factor of 74 and g?
74
Let s(x) = -x**2 + 2*x + 2. Let j = 32 - 32. Let r be s(j). Suppose -3*l - 5*y = 1, -3*l - r*y + 5 = -0. What is the highest common divisor of l and 3?
3
Let f be 331 - (-23 + 14 + -5). Calculate the highest common divisor of 6 and f.
3
Suppose t = 3*x - 813, -6*t - 813 = -3*x - 11*t. Suppose -4*i + 2*i - 3*q = -x, 3*q + 113 = i. What is the highest common divisor of i and 8?
8
Let o(k) = -k + 29. Let z be o(-7). Let h be ((-21)/3 + 5)*(-2 - 0). What is the highest common divisor of z and h?
4
Let i be 0 - -1 - (-284)/2. Let j be (25*(-34)/(-1700))/(2/(-4))*-26. What is the highest common factor of j and i?
13
Let g be 141/(-2) + 20/(-40). Let k be 0 - 2 - (-3)/((-3)/g). Let h = k + -48. What is the highest common factor of h and 63?
21
Let c(t) = -15*t + 11. Let f be c(-9). Suppose 156*o - 159*o + h + 652 = 0, o = -3*h + 234. What is the greatest common divisor of o and f?
73
Let f be 10 + ((-7)/21 - 22/6). Suppose 4*b + 4*z = 0, -5 = 4*b - f*b + 3*z. What is the highest common factor of 49 and b?
1
Let i be 13 + -6 + (11 - 11). What is the greatest common factor of 4291 and i?
7
Suppose 0 = 9*k - 2*k + 231. Let a be (-1)/((-8)/30) - k/132. Let l(d) = -d**2 - 10*d + 6. Let u be l(-10). Calculate the highest common factor of a and u.
2
Let d(f) = 6*f**3 + 6*f**2 - 4*f + 2. Let b be d(-5). Let w = -298 - b. What is the greatest common divisor of 40 and w?
40
Let t be ((-402)/36)/(40/(-24)*1/10). Calculate the greatest common factor of 8576 and t.
67
Let t(p) = -p**3 + 12*p**2 - p - 13. Let x be t(9). Let a = -204 + x. Calculate the greatest common factor of a and 51.
17
Let a(r) be the first derivative of 1/3*r**3 + 11/2*r**2 + 2*r - 1. Let p be a(-12). Calculate the highest common factor of 28 and p.
14
Suppose 0 = -2*p + 7*p - 5. Suppose 27*u - 761 = 49. Suppose u*g - 27*g + 6 = 3*r, 2*g - 31 = -5*r. What is the greatest common factor of r and p?
1
Let b be 2/(-5) + (-422)/(-5). Suppose 4*z - 4*k = 80, -2*z - 4*z = -5*k - 121. What is the greatest common factor of b and z?
21
Let q(a) = -a**2 + 8*a + 4. Let p be q(8). Let o = -50 - -106. Suppose 3*g - p*h + 12 = 5*g, -3*h - o = -5*g. Calculate the greatest common divisor of 25 and g.
5
Let w(m) = 6*m**3 + 9*m**2 - m - 3. Let s(t) = t**3 + t**2 - t - 1. Let y(k) = -5*s(k) + w(k). Let r be y(3). What is the highest common factor of r and 7?
7
Let b be 962/14 + (27/21 - 1). Suppose -5*v + b = 79. Let y be v/(4 + -3) - (-2 + -28). Calculate the greatest common factor of 112 and y.
28
Let c(w) = -4*w - 9. Let v(f) = 8*f + 20. Let x(q) = -5*c(q) - 3*v(q). Let g = 15 - 24. Let j be x(g). Calculate the greatest common divisor of 84 and j.
21
Suppose 5*f - 3*d = 855, -4*f - 14*d + 684 = -11*d. What is the greatest common divisor of 747 and f?
9
Suppose 4*y = -8, -4*y = 2*p - y. Suppose -2*t - p*w = -52, -2*t + 2*w = 3*t - 168. What is the highest common divisor of 56 and t?
8
Suppose 4*c - 328 = -5*a, 5*c + 219 = 5*a - 2*a. Suppose 15 = -a*r + 73*r. Calculate the highest common divisor of r and 39.
3
Let u(m) = -m**3 - 5*m**2 - 3*m + 5. Let r be (-7 - -5) + 4/(-2). Let v be u(r). Let w be (-60)/(-5) - (v + 2). Calculate the highest common divisor of w and 9.
9
Let x(l) = -18*l**3 - 214*l**2 - 7*l + 24. Let b be x(-12). What is the greatest common divisor of b and 2640?
132
Let g(f) = f - 16. Let y be g(21). Let r(c) = c + 4. Let q be r(y). Let p = -187 - -286. What is the highest common divisor of p and q?
9
Let s = -7450 - -7801. Calculate the greatest common factor of 8541 and s.
117
Suppose -5*j = -a - 8069, -3*a = -j + 930 + 681. Calculate the highest common factor of j and 3.
3
Suppose b - 2 = 1, -b + 4 = f. Let w be 23 + f*14/2. Calculate the greatest common divisor of w and 24.
6
Suppose 0 = l + 3*o - 315, 21*l + 1480 = 26*l - 4*o. Let x = l - 296. Calculate the greatest common divisor of 196 and x.
4
Let r(s) = -s**2 + 852*s + 185862. Let u be r(-180). Suppose 0 = 3*y - 2*g - 150, -5*y + 225 = 3*g + 2*g. Calculate the greatest common divisor of u and y.
6
Let y(r) = 1 + 0 - 20*r - 6 - 40. Let z be y(-9). Suppose -2*g - 208 = -3*f, 2*f + 0*g = 5*g + z. What is the greatest common factor of f and 28?
14
Let h be (-11)/(-99) - 7/((-252)/824). Calculate the greatest common factor of 17779 and h.
23
Suppose -b - l - 157 = 0, 4*b - 3*l + 583 = 2*l. Let x = -241 - b. Let i = -53 - x. Calculate the greatest common factor of 18 and i.
18
Suppose -2*z = -k + 5*k - 6, 3*k = -z + 6. Suppose 425 + 103 = k*d. Let r = -1 - -23. What is the greatest common factor of r and d?
22
Suppose 22 = o - 2*f, -f = -4*o + f + 82. Suppose -17*n = -o*n + 21. Let h be -7*(-12)/756 + (-440)/(-9). What is the highest common divisor of n and h?
7
Suppose -k - 2*y + 18 = 0, -3*k = 74*y - 72*y - 42. What is the highest common divisor of k and 42684?
12
Suppose -l = 5*g + 346, g + 1753 = -5*l - g. Let y be (-2)/(-13) - 56457/l. What is the greatest common diviso | {
"pile_set_name": "DM Mathematics"
} |
- 2*r + r**4 + j*r wrt r.
4*r**3
Let h be (-216)/(-52) - 4/26. Find the second derivative of -6*d**h - d**4 + d + 4*d**4 - 2*d wrt d.
-36*d**2
Find the second derivative of 93*w**2 - 93*w**2 + 3*w + 0*w**3 - 8*w**3 wrt w.
-48*w
Let m(t) be the first derivative of 0*t**3 + 0*t + 0*t**4 + 3/2*t**2 + 3 + 3/5*t**5. What is the second derivative of m(r) wrt r?
36*r**2
Let t(r) be the first derivative of -r**7/7 + 2*r**3 + 5. What is the third derivative of t(y) wrt y?
-120*y**3
Let y = -1 + 3. Suppose y*k = 4*k - 8. Find the second derivative of -k*p**4 + p**5 + 4*p**4 + p wrt p.
20*p**3
Let s be (-10)/4*4/(-5). What is the third derivative of s*f**5 + 2*f**5 - 3*f**2 + 8*f**2 wrt f?
240*f**2
Differentiate 7*a**4 - 47*a + 47*a - 4 with respect to a.
28*a**3
Let p(q) = 9*q**3 - 10. Let u = 10 + -5. Let t(y) = 6*y**3 - 7. Let n(j) = u*p(j) - 8*t(j). What is the first derivative of n(z) wrt z?
-9*z**2
Let f(p) be the second derivative of -p**5/20 - p**3/3 + 4*p. What is the second derivative of f(k) wrt k?
-6*k
Let j(t) be the third derivative of -3*t**2 + 0 + 0*t + 0*t**4 - 1/6*t**3 + 1/30*t**5. What is the derivative of j(d) wrt d?
4*d
Let w(l) be the second derivative of -9*l**8/56 + 5*l**4/4 + 10*l. Find the third derivative of w(z) wrt z.
-1080*z**3
Let d(l) = -l**4 + 2*l**3 + 2*l**2 - 2*l - 1. Let z(n) = 2*n**4 - 3*n**3 - 3*n**2 + 3*n + 2. Let c(t) = 3*d(t) + 2*z(t). What is the derivative of c(q) wrt q?
4*q**3
Let p(h) be the second derivative of h**7/210 - h**5/30 - h**2 - 4*h. Let u(k) be the first derivative of p(k). Find the third derivative of u(b) wrt b.
24*b
Let r = 5 + -3. Differentiate -1 + 2*m**2 + r*m**3 - 2*m**2 - 4*m**3 wrt m.
-6*m**2
What is the derivative of -13*s**3 + 49 + 46*s**3 - 78*s**3 wrt s?
-135*s**2
What is the first derivative of 0*j**2 + 12 + 2*j**2 - 5 wrt j?
4*j
Let p(h) = 1. Let j(r) = -26*r**2 + 16. Let q(u) = j(u) + p(u). Differentiate q(t) wrt t.
-52*t
Let b(v) = 2*v - 8. Let w be b(7). Suppose 0 = f - 3, 4*f = -n + 4*n + w. Find the first derivative of 3*r + 1 + 2*r**n - 3*r wrt r.
4*r
Let v(t) be the first derivative of -t**4 + 17*t**2/2 + 2*t + 28. What is the second derivative of v(c) wrt c?
-24*c
Differentiate 13*x**4 + 0*x**4 + 5 - 2*x**4 wrt x.
44*x**3
Let l(o) = o + 3. Let s be l(2). Differentiate 13*g**4 - 5*g**4 + 16 - s - 13 with respect to g.
32*g**3
Suppose d + 5 = 0, -d = -2*h + 8 + 1. Suppose 0 = -3*i - 0*i + 15. Find the second derivative of -2*m + i*m - h*m**5 - 2*m wrt m.
-40*m**3
Suppose 3*h - p = -14, 3*p - 2 = 4. Let w be (10/h)/(4/(-8)). What is the second derivative of -g + 2*g**w + 0*g + 0*g**5 wrt g?
40*g**3
Let j(n) = -4*n**4 + 2*n**2 + 2*n. Let d(y) = -y**4 + y**2 + y + 1. Let h(m) = 6*d(m) - 3*j(m). Differentiate h(i) with respect to i.
24*i**3
Let s(y) be the first derivative of 7*y**4/4 - y**2 - 47*y + 53. What is the first derivative of s(c) wrt c?
21*c**2 - 2
Let y be (27/(-18))/(2/4). Let g be (2 + -5)/(y/2). Find the third derivative of -3*l**2 + 4*l**4 + l**g - 7*l**4 - l**2 wrt l.
-72*l
Suppose 3*j + 2 = -1. Let u(l) = 3*l**2 + 2*l + 1. Let k be u(j). Differentiate n**k + 0 + 0*n**2 - 2 wrt n.
2*n
Let j = 1 - -3. What is the derivative of -2 + x**j - 1 - 5*x**4 wrt x?
-16*x**3
Let g be (-1)/7*2 - (-80)/35. Let u(b) = b**3 + 4*b**2 + 2*b - 1. Let d be u(-2). Find the third derivative of -d*t**3 - 2*t**g - 2 + 2 + 4*t**3 wrt t.
6
Let w(a) = a**3 - a**2 - 3*a + 1. Let g be w(3). Let l = -7 + g. What is the first derivative of 0*z**4 - 2 + 1 - 1 - l*z**4 wrt z?
-12*z**3
Let s(y) be the first derivative of -4*y**5/5 + 5*y**2/2 - 5. Find the second derivative of s(i) wrt i.
-48*i**2
Let t(i) = 51*i - 44. Let d(w) = -w - 1. Let g(r) = 3*d(r) + t(r). What is the first derivative of g(x) wrt x?
48
Find the third derivative of 0*i**6 - 3*i**6 - 5*i**6 - i**2 + 0*i**6 wrt i.
-960*i**3
Let b(n) = n**3 - 5*n**2 - 5*n - 4. Let o be b(6). What is the second derivative of -2*k**o - k + 2 + 2*k - 2 wrt k?
-4
Let c(y) = y**3 - 4*y**2 - 4*y - 5. Let k be c(5). Let p be 10/4 - 1/2. Find the third derivative of q**p + k*q**3 - q**3 + q**2 wrt q.
-6
Let f be 36/27*(-3)/(-2). What is the second derivative of c - 3*c**2 - 2 + f wrt c?
-6
Let k(a) = 16*a**3 - 7*a**2 - 12. Let z(d) be the second derivative of -d**5/4 + d**4/6 + 2*d**2 - d. Let h(l) = -2*k(l) - 7*z(l). Differentiate h(f) wrt f.
9*f**2
Let n be (-2)/1*(0 + -1). Differentiate -4 + 4 - 4 + i**n wrt i.
2*i
Let v be (-3 - (-4 + 1))/(-2). What is the first derivative of 6*a**2 + 0*a + 7 + v*a + 4*a**2 wrt a?
20*a
Suppose -5*f + 75 = -2*o, -3*f + 17 = 4*o - 54. What is the third derivative of 7*m**2 - f*m**4 + 17*m**4 + 6*m**6 wrt m?
720*m**3
Let q(b) = -6*b**4 - 3*b**2 + b - 3. Let v(l) = l**4 + l**2 + 1. Let h(p) = -2*q(p) - 6*v(p). What is the second derivative of h(d) wrt d?
72*d**2
Let k(s) be the first derivative of -5*s**6/3 + 13*s**2/2 - 1. What is the second derivative of k(a) wrt a?
-200*a**3
What is the second derivative of -123*b - b**4 + 121*b + 0*b**4 wrt b?
-12*b**2
Let x(n) = -8*n**4 + 4*n**3 - n. Let k(f) = f**4 - f**3 + f. Let c(r) = 4*k(r) + x(r). What is the second derivative of c(j) wrt j?
-48*j**2
Let s = 37 + -37. Let p(l) be the third derivative of 1/20*l**5 - 1/8*l**4 + 0*l + 2*l**2 + s*l**3 + 0. Find the second derivative of p(o) wrt o.
6
Let z(i) be the first derivative of -2*i**3 + 6 + 7*i**2 + i**4 + 3*i**3 - 7*i**2. What is the third derivative of z(a) wrt a?
24
Let h(i) be the second derivative of i**7/504 + i**5/30 + i**4/6 + 6*i. Let b(t) be the third derivative of h(t). What is the first derivative of b(w) wrt w?
10*w
Let f(p) = -14*p**3 + 3*p**2 + 3*p - 2. Let o(b) = 42*b**3 - 8*b**2 - 8*b + 7. Let c(x) = -8*f(x) - 3*o(x). What is the first derivative of c(u) wrt u?
-42*u**2
Suppose k = -2*z - 3*k - 12, -3*k = -z + 4. Let m = 1 - z. Find the first derivative of 3*q**4 - 4*q**4 - m*q**4 - 3 wrt q.
-16*q**3
Suppose -d + 3*s = -5, 2*d + 0*s + s - 3 = 0. What is the first derivative of -2*r - d + 1 - r + 0 wrt r?
-3
Let i(l) be the first derivative of 5*l**3/3 - l**2/2 + 17. What is the second derivative of i(r) wrt r?
10
Let s(w) = -w - 1. Let v(h) = -7*h**3 + 5*h - 5. Let u(d) = 5*s(d) - v(d). Find the second derivative of u(g) wrt g.
42*g
Let d(j) = j**4 + j**3 - 1. Let c(u) = -22*u**4 + 5*u**3 - 15. Let b(o) = -c(o) + 5*d(o). Differentiate b(t) with respect to t.
108*t**3
Let z(k) = k**3 + k**2 - k - 1. Let n(y) = -8*y**2 + 8*y + 18. Let b(j) = n(j) + 8*z(j). Find the first derivative of b(r) wrt r.
24*r**2
Let n be (-10)/4*4*-1. Suppose -3*x = -5*x + n. Find the third derivative of 0*i**x - 2*i**2 - i**5 - i**5 wrt i.
-120*i**2
Let q be 2/6 + 10/6. Let o = -1 - -4. Differentiate o - 2 - 2 + 2*x**q with respect to x.
4*x
Let b(g) be the first derivative of 0*g**2 + 0*g**3 - 4*g - 1 - 1/2*g**4. What is the first derivative of b(n) wrt n?
-6*n**2
Let y = -13 - -18. Suppose 18 = y*z - 2*s, 0 = 2*z - s - 3 - 5. What is the third derivative of 6*i - 3*i**3 - 6*i - z*i**2 wrt i?
-18
Let h(g) be the third derivative of -g**7/30 + 7*g**5/30 + 8*g**2. What is the third derivative of h(l) wrt l?
-168*l
Let j(c) = -4*c + 4. Let d(r) = -3 + 6*r - 3*r + 0*r. Let t(q) = 8*d(q) + 5*j(q). What is the first derivative of t(g) wrt g?
4
Let l(g) be the first derivative of 0*g**6 - 7 + 0*g + 0*g**5 + 0*g**2 + 0*g**4 + 3*g**3 - 9/7*g**7. Find the third derivative of l(u) wrt u.
-1080*u**3
Let o(r) be the third derivative of 53*r**5/60 + 5*r**4/12 - 3*r**2 + 11. What is the second derivative of o(p) wrt p?
106
Let f(j) = j**4 + 1. Let g(u) = 11*u**5 + u**4 + 26*u + 1. Let h(s) = -f(s) + g(s). What is the second derivative of h(v) wrt v?
220*v**3
Let j be 1/((-1)/(-2)) - -1. Find the first derivative of 3*v**2 - 3*v**2 - 3*v**3 - j wrt v.
-9*v**2
Suppose 0 = 4*c - 2*c + 4. Let w be -1*(c - -2) + 4. Differentiate -3 - 1 + 3 - j**w wrt j.
-4*j**3
Let v(f) = -f**3 + 5*f**2 - 5*f + 3. Let q be v(3). Find the third derivative of -3*y**2 - 6 + q - 2*y**5 wrt y.
-120*y**2
Let l(z) be the second derivative of z**5/20 - z**3/6 + 2*z**2 - 2*z. Let h be l(0). What is the second derivative of -p + 4*p**4 + p**h - 3*p**4 wrt p?
24*p**2
Find the first derivative of -33*d**2 + 56*d**2 - 20 - 39*d**2 wrt d.
-32*d
Let q be 6/(5 - 3) + -1. What | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when p is divided by 18.
16
Let t = -3 - -22. Suppose z - t = -5. Calculate the remainder when z is divided by 8/3*(-1 - -4).
6
Let l = 42 - 40. What is the remainder when 5 is divided by l?
1
Suppose 213 = 4*g + 89. What is the remainder when g is divided by (-4 - (1 - (-4 + -8)))*-1?
14
Suppose 56 = 6*q - 172. Calculate the remainder when q is divided by 13.
12
Suppose -3*t + 6 = -0*t. Suppose t*n = 1 + 11. What is the remainder when n is divided by 2?
0
Suppose -2*z = -0*z - 28. What is the remainder when 69 is divided by z?
13
Calculate the remainder when 11 is divided by ((-90)/10)/((-6)/4).
5
What is the remainder when 49 is divided by 13 + -5 + (1 - -1)?
9
Let z = -5 + 14. Let a be (1/3)/((-2)/6). Let i(h) = -16*h + 1. What is the remainder when i(a) is divided by z?
8
Suppose 2*l = 3*m + 2*m - 127, 0 = m + l - 31. Suppose 5*o - 88 = m. What is the remainder when o is divided by 12?
11
Let z(d) = -2*d**2 - 6*d - 3. Let b(y) = 5*y**2 + 17*y + 8. Let j(v) = -3*b(v) - 8*z(v). Let c = -60 - -67. Calculate the remainder when c is divided by j(4).
3
Let j = 51 + -20. What is the remainder when 122 is divided by j?
29
Let h = -6 + 21. Let u(b) be the first derivative of 2*b**3 + 2*b**2 - 3*b - 3. What is the remainder when u(2) is divided by h?
14
Suppose -j - 30 = -2*p + j, 3*p - 2*j - 46 = 0. Calculate the remainder when p is divided by 10.
6
Let a = -21 - -46. What is the remainder when 48 is divided by a?
23
Let c(m) = -m**2 - 9*m. Suppose -4*l + 28 = -5*t, -2*t = 4*l - t - 28. What is the remainder when c(-5) is divided by l?
6
Suppose 14 + 35 = 7*g. Calculate the remainder when (16 - -2)/1 - -2 is divided by g.
6
What is the remainder when 15 is divided by 2/3*(-16 - -31)?
5
Let b = -9 + 35. Let o be ((-5)/4)/((-3)/24). Suppose p - o - 19 = 4*s, -3*s = 3*p - 12. Calculate the remainder when b is divided by p.
8
Suppose 2*x - 114 = -5*s, -2*s = s + 12. What is the remainder when x is divided by 19?
10
Suppose 2*k = 2*d - 38, -4*d = d - 2*k - 89. Calculate the remainder when 2/(3/75*1) is divided by d.
16
What is the remainder when ((-1)/3)/(1/(-93)) is divided by -3 + 4 + 0 - -10?
9
Let i = 112 - 79. What is the remainder when i is divided by 19?
14
Let r be -1*3/3 + 6. Suppose a = -2*p + r, -a - 11 = p - 3*p. Let w = -11 + 21. What is the remainder when w is divided by p?
2
Let f(q) = q + 1. Let j be f(-7). Calculate the remainder when (-24)/j + (3 - 1) is divided by 2.
0
Calculate the remainder when -23*(-1 - (2 + 1)) is divided by 31.
30
Let i = -9 + 16. Let s = 17 - i. Calculate the remainder when 42 is divided by s/55 + 119/11.
9
Suppose 2*q = 7*q. Suppose 4*j + q = 8. Let n(d) = d**2 - 3*d + 1. What is the remainder when j is divided by n(3)?
0
Calculate the remainder when 96 is divided by (50/6)/((-6)/(-18)).
21
Let k = 10 - 11. What is the remainder when (2 - 22)/k - -1 is divided by 11?
10
Let b(l) = 4*l**2 + 12 + 11*l - 3*l**2 + 0*l. Let v(o) = o**2 + o - 8. Calculate the remainder when v(-6) is divided by b(-11).
10
Suppose 67 = -17*b + 560. What is the remainder when 141 is divided by b?
25
Let o = -61 + 63. Calculate the remainder when 5 is divided by o.
1
Let v = 2 - -2. Suppose 0 = v*p - 127 + 27. What is the remainder when p is divided by 13?
12
Suppose 2*r - 2 - 46 = 0. What is the remainder when 69 is divided by r?
21
Suppose 0 = -3*x - 2 - 10. What is the remainder when 23 is divided by (2/(-4))/(x/48)?
5
Let z = 12 + -8. Suppose -5*i + 2*i = -3*f - 9, z*f - i = 3. Suppose f*s - 12 - 18 = 0. Calculate the remainder when 42 is divided by s.
12
Let v(p) be the second derivative of p**4/6 + p**3/2 - 5*p. What is the remainder when 105 is divided by v(3)?
24
Let j(p) = p**2 - 4*p + 1. Suppose 4 = -2*d - d + 4*c, -3*c = -3*d. Calculate the remainder when 1/(((-16)/(-12))/(-4)) - -5 is divided by j(d).
0
Let w = 27 - -101. What is the remainder when w is divided by 26?
24
Suppose -2*s = -4*j + s + 192, 5*j - 5*s - 235 = 0. What is the remainder when j is divided by ((-52)/(-6))/(60/(-18) - -4)?
12
Let n(x) = -x**2 + 7*x + 4. What is the remainder when 14 is divided by n(7)?
2
Suppose -i + 5*c - 70 = 3*i, 2*i = -2*c - 26. Calculate the remainder when 7 is divided by (12/(-9) - -1)*i.
2
Suppose 2*q + 0 = 8, z - 4*q + 16 = 0. Let m(w) = -w**2 - w + 6. Let u(b) = 4*b - 3. Calculate the remainder when u(6) is divided by m(z).
3
Let l = -4 + 4. Suppose l*a = -2*a + 42. Suppose -2*c + 2 = 8, 2*c + a = 5*y. Calculate the remainder when y is divided by 3.
0
Suppose -12 = r + r. Calculate the remainder when 7 is divided by (-5 - r)/((-2)/(-8)).
3
Suppose -3*b - 3*a + 180 = 0, -5*a - 148 = -5*b + 2*b. Calculate the remainder when b is divided by 19.
18
Let b(t) = 4*t - 20. Calculate the remainder when b(15) is divided by 21.
19
Let l = -2 - -2. Suppose -j + 6 = 3*g, l = -4*j + 5*j - 5*g - 22. Suppose -n = -4*n + j. Calculate the remainder when 13 is divided by n.
1
What is the remainder when 55 is divided by ((-98)/(-21))/((-1)/(-3))?
13
Let s = 4 - 3. Let a be (-15)/(-3) - s/1. What is the remainder when 26 + 1 + (a - 5) is divided by 14?
12
Calculate the remainder when 26 is divided by (-2)/(6/21 - (-120)/(-273)).
0
Suppose s - 5*s = 4*o - 40, 0 = 3*s + 4*o - 34. Calculate the remainder when 20 is divided by s.
2
Let i be (12/8)/((-3)/(-78)). Let n = i + 25. Calculate the remainder when n is divided by 33.
31
Let h be 0 - (-1 + -51) - 0. Let i = h - 20. Let f(b) = b**2 - 2*b + 3. Calculate the remainder when i is divided by f(4).
10
Let b(k) = k**3 - 2*k**2 - 6*k + 2. Let o be ((-4)/(-5))/(2/140). Calculate the remainder when 9/6*o/3 is divided by b(4).
8
Let l = 19 - 13. Let y(o) = o**3 + 5*o**2 - 8*o - 2. Let z be -6 - 0/((-2)/(-2)). Calculate the remainder when y(z) is divided by l.
4
Let g(v) = -v**3 + 3*v**2 + 3*v + 5. Let m be g(4). Calculate the remainder when ((-31)/4)/(3/(-12)) is divided by (-2 - -1) + m - -11.
9
Suppose -4*o + 3 = -9. Suppose o*q = -5*r + 53, 35 = 2*q - 3*r + 6. Calculate the remainder when 31 is divided by q.
15
Let f be (0/(-1) + 1)*6. Suppose -h = -5*q - 8, 2*q = f*q - h + 6. What is the remainder when (4/(-6))/(q/57) is divided by 10?
9
Let z = 30 - 27. Suppose -3*q - z = -12. Let k(l) = -l**3 + 3*l**2 + 4*l - 2. What is the remainder when k(3) is divided by q?
1
Let k = -20 + 41. Let g = k - 8. What is the remainder when 37 is divided by g?
11
Let h(d) = -3*d**2 - d + 2. Let p be h(-2). Let a = -17 - p. Let l(r) = -r**2 - 12*r - 11. What is the remainder when 46 is divided by l(a)?
14
Let k = 41 - 19. What is the remainder when 195 is divided by k?
19
Let f be ((1 + 0)*1)/1. Calculate the remainder when 62 is divided by 1 - (-12 - (f - -2)).
14
Calculate the remainder when (7/(-7))/(2/(-58)) is divided by 8.
5
Suppose -5*x - 22 = -62. What is the remainder when 54 is divided by x?
6
Suppose -4*h + 32 = 4. Let p = -3 + h. Suppose -x - p*x = -2*k + 83, 0 = 4*x - 4. Calculate the remainder when k is divided by 15.
14
Suppose 5*w + 36 = u, -2*w = -3*u + 32 + 11. Let x(y) = y + 6. Calculate the remainder when u is divided by x(0).
5
Calculate the remainder when 52 is divided by 31*1 - (33 + -30).
24
Suppose -3 = 3*s - 0. Let k(n) = 54*n**2 - 2*n - 1. Calculate the remainder when k(s) is divided by 29.
26
Let v = -29 + 16. Let n = v - -28. Suppose 3*b - n = -u, -5*u + 0*u - b = -33. What is the remainder when 9 is divided by u?
3
Let g(f) = 9*f**2 - f + 1. Let p be g(1). Let k be (-1)/3 - (-3)/p. Let h(x) = -x**3 - x**2 + x + 2. What is the remainder when h(k) is divided by 2?
0
Let q be -1 + 1 - (0 - -3). Calculate the remainder when 7 is divided by 5*-3*q/15.
1
Let i(t) = -3*t - 3. Let c be i(-7). Let o = -4 + -5. Let h = c + o. Calculate the remainder when 25 is divided by h.
7
Calculate the remainder when (-9 + 6)/(2/58*-1) is divided by 15.
12
Let b(r) = -4*r**3 - 2*r**2 - r + 2. Let w be b(-3). Suppose -4*z = -w - 65. What is the remainder when z is divided by 14?
12
Calculate the remainder when ((-560)/(-24))/((-2)/(-3)) is divided by 13.
9
Suppose 18 = -5*w - 167. Let q = w + 87. What is the remainder when q is divided by 13?
11
Let s(w) = w**3 - 3*w**2 + 10*w - 10. Calculate the remainder when s(6) is divided by 40.
38
Let o = -8 - -12. Suppose -b - 6 - 8 = -f, o*b = 12. | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 3519557?
191, 18427
List the prime factors of 77606035.
5, 13, 1193939
List the prime factors of 41882126.
2, 11, 13, 23, 6367
What are the prime factors of 493003352?
2, 41, 1503059
List the prime factors of 2536084062.
2, 3, 140893559
List the prime factors of 17228604.
2, 3, 53, 103, 263
List the prime factors of 7483193977.
7, 17, 62883983
What are the prime factors of 4124722711?
19, 89, 2439221
List the prime factors of 4863501573.
3, 7, 19, 2741, 4447
What are the prime factors of 132463001?
11, 12042091
List the prime factors of 215104475.
5, 53, 162343
List the prime factors of 65418310.
2, 5, 6541831
List the prime factors of 5522148994.
2, 571, 1129, 4283
What are the prime factors of 531555671?
531555671
What are the prime factors of 33319319?
11, 163, 18583
List the prime factors of 2730368628.
2, 3, 13, 19, 5387
List the prime factors of 659704908.
2, 3, 54975409
List the prime factors of 168523357.
1889, 89213
What are the prime factors of 737444678?
2, 31, 173, 197, 349
List the prime factors of 594575132.
2, 19, 7823357
List the prime factors of 5293155632.
2, 17, 29, 671039
What are the prime factors of 978257818?
2, 489128909
List the prime factors of 2310393456.
2, 3, 7, 28297
What are the prime factors of 44903642?
2, 7, 1061, 3023
What are the prime factors of 6916665276?
2, 3, 64043197
List the prime factors of 1352755933.
1352755933
List the prime factors of 129995147.
129995147
What are the prime factors of 94691752?
2, 11836469
List the prime factors of 6420045747.
3, 2140015249
List the prime factors of 87428018.
2, 43714009
What are the prime factors of 305647293?
3, 7, 14554633
List the prime factors of 10696964.
2, 2674241
List the prime factors of 144838279.
144838279
List the prime factors of 50670184.
2, 1423, 4451
List the prime factors of 1257578188.
2, 89, 3532523
What are the prime factors of 82107560?
2, 5, 2052689
What are the prime factors of 1078929875?
5, 61, 141499
What are the prime factors of 1720639225?
5, 89, 8689
List the prime factors of 1147854006.
2, 3, 13, 257, 19087
List the prime factors of 2520797161.
37, 68129653
What are the prime factors of 258683778?
2, 3, 31, 53, 8747
List the prime factors of 1418031729.
3, 31, 5082551
What are the prime factors of 527665845?
3, 5, 7, 5025389
List the prime factors of 27413019.
3, 643, 1579
What are the prime factors of 790753970?
2, 5, 19, 1831, 2273
List the prime factors of 13111473.
3, 1019, 4289
What are the prime factors of 25476232?
2, 3184529
What are the prime factors of 19902887?
19902887
List the prime factors of 324629353.
1163, 279131
What are the prime factors of 164904908?
2, 7, 5889461
What are the prime factors of 2316946372?
2, 13, 4231, 10531
List the prime factors of 331444946.
2, 7, 43, 401, 1373
What are the prime factors of 513104910?
2, 3, 5, 17103497
What are the prime factors of 35227266?
2, 3, 5871211
List the prime factors of 312334530.
2, 3, 5, 839, 12409
What are the prime factors of 4968147528?
2, 3, 29, 149, 5323
What are the prime factors of 1210848800?
2, 5, 7, 17, 23, 79
What are the prime factors of 2584689779?
7, 52748771
What are the prime factors of 52335845?
5, 103, 151, 673
What are the prime factors of 874359458?
2, 7, 1471, 42457
What are the prime factors of 86229308?
2, 11, 431, 4547
What are the prime factors of 69303650?
2, 5, 13, 106621
List the prime factors of 424577996.
2, 106144499
What are the prime factors of 425004083?
7, 71, 173, 4943
What are the prime factors of 388268555?
5, 7537, 10303
List the prime factors of 54107699.
54107699
What are the prime factors of 62481356?
2, 7, 2231477
List the prime factors of 1995599006.
2, 101, 107, 127, 727
What are the prime factors of 1041245876?
2, 11, 23664679
What are the prime factors of 923146563?
3, 17, 2417, 7489
What are the prime factors of 87625013?
7, 43, 291113
List the prime factors of 1388801578.
2, 107, 211, 30757
List the prime factors of 51662889.
3, 5740321
What are the prime factors of 1250414671?
11, 59, 83, 139, 167
List the prime factors of 20359795.
5, 17, 239527
What are the prime factors of 167032087?
167032087
List the prime factors of 210924605.
5, 19, 23, 37, 2609
List the prime factors of 624293804.
2, 331, 471521
What are the prime factors of 1320949246?
2, 29, 31, 251, 2927
List the prime factors of 285183812.
2, 1013, 70381
List the prime factors of 84096020.
2, 5, 1097, 3833
What are the prime factors of 10447148?
2, 53, 49279
List the prime factors of 350255188.
2, 87563797
What are the prime factors of 95834898?
2, 3, 19, 280219
List the prime factors of 118237779.
3, 11, 19, 23, 911
What are the prime factors of 1933180032?
2, 3, 7, 719189
List the prime factors of 456276131.
456276131
What are the prime factors of 1398436385?
5, 19, 774757
What are the prime factors of 1537826479?
7, 457, 647, 743
List the prime factors of 767156656.
2, 7, 509, 13457
What are the prime factors of 542032222?
2, 8059, 33629
What are the prime factors of 17586889?
31, 567319
What are the prime factors of 107745088?
2, 11, 31, 4937
What are the prime factors of 7052889?
3, 67, 35089
List the prime factors of 32706532.
2, 59, 138587
List the prime factors of 331669327.
11, 2689, 11213
List the prime factors of 2117829.
3, 7, 14407
List the prime factors of 86276932.
2, 7, 3081319
List the prime factors of 261255885.
3, 5, 11, 1583369
What are the prime factors of 483956472?
2, 3, 20164853
List the prime factors of 184887379.
31, 443, 13463
List the prime factors of 1955698777.
1955698777
List the prime factors of 182498695.
5, 36499739
What are the prime factors of 97486810?
2, 5, 9748681
What are the prime factors of 199838495?
5, 39967699
What are the prime factors of 254952629?
59, 4321231
What are the prime factors of 1159005254?
2, 11, 52682057
List the prime factors of 2098660103.
31, 71, 953503
What are the prime factors of 3948107893?
3948107893
What are the prime factors of 1288003960?
2, 5, 83, 387953
What are the prime factors of 1937981054?
2, 223, 4345249
List the prime factors of 6630823.
97, 197, 347
List the prime factors of 3761323440.
2, 3, 5, 7, 17, 61, 127
What are the prime factors of 6688901722?
2, 23, 43, 78643
List the prime factors of 18782839.
18782839
What are the prime factors of 34255672?
2, 11, 389269
List the prime factors of 2119726685.
5, 17, 997, 25013
What are the prime factors of 3053163906?
2, 3, 13, 29, 449921
List the prime factors of 80728186.
2, 7, 11, 74887
List the prime factors of 2348670187.
2348670187
What are the prime factors of 30549628?
2, 7637407
What are the prime factors of 54137768?
2, 23, 294227
What are the prime factors of 265140950?
2, 5, 5302819
What are the prime factors of 469565813?
71, 6613603
List the prime factors of 239359838.
2, 119679919
What are the prime factors of 6314059643?
6314059643
List the prime factors of 751997572.
2, 12433, 15121
What are the prime factors of 383202025?
5, 43, 356467
What are the prime factors of 564998185?
5, 269, 420073
What are the prime factors of 1607444638?
2, 491, 1636909
What are the prime factors of 18606603?
3, 29, 31, 6899
List the prime factors of 72896954.
2, 13, 43, 65203
What are the prime factors of 69245031?
3, 23081677
What are the prime factors of 123991924?
2, 7, 4428283
What are the prime factors of 44393309?
103, 293, 1471
What are the prime factors of 346201388?
2, 13, 1877, 3547
List the prime factors of 6710031.
3, 193, 3863
What are the prime factors of 48092364?
2, 3, 1335899
What are the prime factors of 150233608?
2, 7, 19, 23, 877
List the prime factors of 565665131.
19, 53, 561733
What are the prime factors of 7648879?
7, 181, 6037
List the prime factors of 29192377.
151, 193327
What are the prime factors of 893410514?
2, 19, 31, 61, 12433
List the prime factors of 4129699046.
2, 11, 187713593
List the prime factors of 560345725.
5, 2267, 9887
What are the prime factors of 2454776413?
2454776413
List the prime factors of 265224431.
23, 47, 107, 2293
List the prime factors of 30636197.
30636197
What are the prime factors of 20972380?
2, 5, 11, 13, 7333
What are the prime factors of 445525666?
2, 29, 43, 178639
What are the prime factors of 171310940?
2, 5, 109, 78583
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
der when (-2 + 45)/(578/187 + -3) is divided by 232.
9
Suppose -2*l + 3*i = 7*i - 32, 4*l = 4*i + 124. Let y(g) = -4*g**2 - 360*g + 1927. What is the remainder when y(-95) is divided by l?
1
Suppose 964 = 17*t - 192. Suppose -3 = -3*q - 9, t = 5*j - 4*q. What is the remainder when j is divided by 3 + (-2 - (2 + -9))?
4
Let q(u) = -663*u + 14. Let x be q(-2). Suppose b - 6*b - 5*s = -x, 3*b - 796 = -s. Calculate the remainder when b is divided by 38.
36
Let a be (-54)/15*(-150)/45. Suppose -54 = -3*v - 2*h, 24 = 2*v + 3*h - a. Calculate the remainder when 123 is divided by v.
15
Let z(u) = 8*u**2 - 36*u - 35. What is the remainder when z(-8) is divided by 78?
63
Suppose 0 = 5*p - 5*k - 140, -2*p = -46*k + 43*k - 52. What is the remainder when 7356 is divided by p?
28
Let d(p) = -p**3 - 6*p**2 - 17*p - 319. Calculate the remainder when d(-10) is divided by 29.
19
Suppose w + 2319 = y + 300, 5*w = -3*y + 6097. What is the remainder when y is divided by 1006?
12
Let b = 4 - 4. Let p be (-1696)/(-6) + (-10)/15. Suppose b = -5*d + 28 + p. Calculate the remainder when d is divided by 32.
30
Suppose 5*m - 48 = 9*m + 4*o, -2*o + 48 = -4*m. What is the remainder when 87 is divided by (-10 - -6) + (0 - -3 - m)?
10
Suppose 745 = -5*f + 215. Let n = -71 - f. What is the remainder when 125 is divided by n?
20
Let f = 9418 - 9119. Calculate the remainder when f is divided by 116.
67
Suppose 4*m + 8 + 40 = 2*r, -16 = 4*m. What is the remainder when 4/(-32)*-4*10 - -88 is divided by r?
13
Suppose -5*p - 938 = -6518. What is the remainder when p is divided by 26?
24
Let k(l) = -l**2 + 6*l + 48. Let c(b) = -4*b**2 + 19*b + 144. Let t(y) = -6*c(y) + 17*k(y). What is the remainder when 150 is divided by t(-3)?
48
Suppose -2*y + 5*y - 9 = 0. Suppose 9 = 6*f - y. Suppose 2*q + 18 + 14 = 3*k, -k = -f*q - 16. What is the remainder when 21 is divided by k?
5
Let v = -128 + 267. Let g = -138 + v. Calculate the remainder when 33 + (-6 - (-5)/g) is divided by 3.
2
Suppose b + 2*s + 245 = 0, s + 244 + 6 = -b. Let z = b + 296. What is the remainder when z is divided by 26?
15
Let m(r) = r**3 + 8*r**2 - 12*r - 33. Let n = -217 + 209. What is the remainder when m(n) is divided by 18?
9
Let t(x) = x + 16. Let l be -4 + (-2 - -3 - 5). Let m be t(l). Let h = 20 + m. What is the remainder when 54 is divided by h?
26
Let q = 1208 + -12. Calculate the remainder when (-2)/9 - q/(-36) is divided by 344/(-1548) + 94/18.
3
Suppose 19714 - 476 = 128*q + 1958. Calculate the remainder when 153 is divided by q.
18
Let l = -94 - -100. Suppose 934 - 412 = 6*w. What is the remainder when w is divided by l?
3
Suppose -3*m + 18 = -0*s - 3*s, -12 = -5*m - 4*s. Suppose 5*y - 388 = m*h, -3*y - 3*h + 144 = -78. What is the remainder when y is divided by 65?
11
Let d(m) = -m**2 + m + 97. Let z be d(0). Suppose 0 = -j + 2*u + 4, -5*j - 6*u = -7*u - 47. Suppose 3*o + j = z. What is the remainder when o is divided by 15?
14
Let g(h) = -2*h**3 - 3*h**2 + 25*h + 244. Calculate the remainder when g(-22) is divided by 13.
12
Let h be (708/(-24))/(2/(-8)). Let a = h + -116. What is the remainder when 24 is divided by a?
0
Let x be 4/(-5) - (-1278)/(-15). Let m = 300 - x. Calculate the remainder when m is divided by 65.
61
Suppose z - 244 = -25*k + 28*k, 4*z = -3*k + 1021. Let v = -182 + z. What is the remainder when v is divided by 27?
17
Suppose -1456 = -14*n + n. What is the remainder when n is divided by 56?
0
Suppose 0 = -4*x - x + 115. Let v(r) = r**2 - 49*r + 607. Calculate the remainder when v(32) is divided by x.
17
Suppose -m - 21 = -c, -m - 70 = -5*c - 3*m. Suppose -c*o = -170 - 390. What is the remainder when o is divided by 13?
9
Let r = 274 - 300. Suppose -3*l = -47 - 40. Let i = l + r. Calculate the remainder when 5 is divided by i.
2
Suppose 5*t = 2*l + 7, 5*l + 30 = -3*t + 59. Calculate the remainder when 319 is divided by (l/(-7))/((-6)/147 - 0).
11
Suppose -102*c - 36 = -111*c. Suppose c*t = -9*q + 8*q + 36, 3*t + 4*q - 40 = 0. What is the remainder when t is divided by 5?
3
Suppose -4*i + i = -3*j - 894, -3*j + 2*i - 891 = 0. Let d = j - -318. Calculate the remainder when 108 is divided by d.
16
Suppose u - 2*h = -0*h + 9, -5*u = 4*h + 11. Suppose -2*z + u + 7 = 0. Calculate the remainder when -24*(-1 + z/(-6)) is divided by 15.
10
Let b = -243 - -351. Suppose 5*m = b + 57. Calculate the remainder when m is divided by (-20)/(-600)*-18 - 38/(-5).
5
Suppose -2*v + 3*v - 3*k + 7 = 0, 5*k - 33 = -v. Suppose -81*g + 54*g + 999 = 0. Calculate the remainder when g is divided by v.
5
Suppose -217*b + 47304 = -55*b. What is the remainder when b is divided by 94?
10
Suppose 0 = -12*n - 93 - 75. Let l(h) = 2*h**2 + 23*h - 17. Suppose -2*f - 1 = -39. What is the remainder when l(n) is divided by f?
15
Suppose 3 = -0*g - g, 0 = 5*a + 3*g - 1571. Suppose 0*t + 48 = t - 4*w, 5*t - w = a. Let b = t - 17. What is the remainder when b is divided by 12?
11
Let f = -12 - -15. Suppose -g = 4*y - 65, g - f*y = -y + 41. Calculate the remainder when 1149/12 + 4/16 is divided by g.
47
Suppose -36*b + 474 = -34*b + h, 3*b = -4*h + 696. Suppose 7*f - 33 = 4*f. Calculate the remainder when (f/(-3))/((-10)/b) is divided by 31.
26
Let p = -18 + 84. Suppose -27*o + 24*o + p = 0. What is the remainder when o is divided by 21?
1
Suppose 0 = -l + 2, 37*l - 39*l - 281 = -3*j. Calculate the remainder when 389 is divided by j.
9
Suppose 0 = -7*o - 48*o - 58*o + 230972. Calculate the remainder when o is divided by 84.
28
Let v = 41 + -36. Suppose -182 = -v*j - 2*j. What is the remainder when 98 is divided by j?
20
Suppose 4*w - 696 = 4*b, 239*b + 332 = 2*w + 238*b. Suppose g - 4*r - 18 = 6, -3*r = 0. Calculate the remainder when w is divided by g.
14
Let s = -4514 + 4652. Calculate the remainder when 1100 is divided by s.
134
Suppose -129*d + 1980 = -30*d. What is the remainder when d is divided by 16?
4
Suppose 2*r + 6 = 0, q = 2*q + r. Suppose -q*d - 3*d = -66. Calculate the remainder when 65 is divided by d.
10
Suppose -7*d + 104 = 34. Suppose 18*w - 24*w + 828 = 0. What is the remainder when w is divided by d?
8
Suppose -56*g + 580 + 765 + 335 = 0. Calculate the remainder when 135 is divided by g.
15
Let t(w) = 1651*w - 4449. What is the remainder when t(3) is divided by 86?
74
Suppose -3*d + 2*z + 14 = d, 0 = -4*d - z + 5. Let g(u) = -2*u**2 - 4 - 5*u - 1 + d*u**2 + 7*u**2. Calculate the remainder when g(-2) is divided by 7.
5
Suppose f - 19*f = -6912. Suppose -8*c - 32 = -f. Calculate the remainder when c is divided by 15.
14
Suppose -j - 13 = -17. Let r be 5*(2 - (-5)/(-25)). What is the remainder when ((2 - j) + 5)/(r/159) is divided by 9?
8
Let h = 3221 - 2237. Suppose 0 = -7*m + 15*m - h. What is the remainder when m is divided by 18?
15
Let n = -24731 + 27987. What is the remainder when n is divided by 19?
7
Let k(z) = 11*z**2 - 116*z - 45. Calculate the remainder when 15758 is divided by k(11).
8
Let n(y) = 5*y + 28. Calculate the remainder when 744 is divided by n(16).
96
Suppose m + 347 = 4*x, 3*x - 261 = -30*m + 31*m. Calculate the remainder when x is divided by 15.
11
Let x be (18/27)/((-3)/(-99)). Suppose 5*c = -q - q + 59, q - 5*c - x = 0. What is the remainder when (-4)/(-18) + 399/q is divided by 8?
7
Let m be (10/3)/((-1)/(2 - -1)). Let a = m - 60. Let p = 86 + a. What is the remainder when 31 is divided by p?
15
Let g = 3327 - 3214. What is the remainder when 440 is divided by g?
101
Suppose 30*t = 271*t - 403193. Calculate the remainder when 1681 is divided by t.
8
Let i = 85 + 6. Let j = 93 - i. Let w(d) = 45*d + 6. Calculate the remainder when w(j) is divided by 14.
12
Let o(w) = -23*w**3 + 16*w**2 + 13*w + 5. Calculate the remainder when o(-4) is divided by 840.
1
Suppose -5*u + 5*t + 30 = 0, -5 = 3*u - 5*t - 31. Suppose -u*g = 27*g - 145. What is the remainder when 39 is divided by g?
4
Suppose -f + 31836 = 11*f + 16*f. Calculate the remainder when f is divided by 106.
77
Suppose -148*v + 159*v = 462. What is the remainder when 5585 is divided by v?
41
Let p(s) = 17*s**2 + 800*s + 55. Calculate the remainder when 14 is divided by p(-47).
6
Suppose 23*f = 22*f - 3*g + 13651, -5*f = 4*g - 68156. Calculate the remainder when f is divided by 6.
4
Suppose 28*s - 32*s = -1804. Suppose -6*p = -5*c - 3 | {
"pile_set_name": "DM Mathematics"
} |
4*c - 3*a + 3 = -4, -5*a + 25 = 0. Let n(g) = -g + 3 + g**c - 8 + 3*g - g. What is 9*f(p) + 2*n(p)?
2*p**2 + 2*p - 1
Let j(i) = -i + 1. Suppose -11*c = -7*c + 4. Let o(f) = f - 5. What is c*o(t) - 4*j(t)?
3*t + 1
Let u(p) = 2*p + 3. Suppose 4*l - 3*r = 0, r - 1 = l - 2. Let k(v) be the second derivative of -v**3/6 - v**2/2 + v. Calculate l*k(n) - u(n).
n
Let s(i) = 0 + 6 + 0*i + 9*i - 6*i + 3*i. Let o(l) = 3*l + 3. Determine -5*o(q) + 3*s(q).
3*q + 3
Let x(k) = 1. Suppose -48 = -5*w - 33. Let f(c) = c**2 + 9*c + 9. Let t be f(-8). Let r(p) = 3*p - 1. Give t*r(d) + w*x(d).
3*d + 2
Let a(m) = 1. Let w be 24/(-16)*(-10)/(-15). Let l(v) be the first derivative of v**4/4 - 2*v**3/3 + v**2 + 5*v - 1. Determine w*l(k) + 5*a(k).
-k**3 + 2*k**2 - 2*k
Let i(d) = -18*d - 8. Let k(x) = 46*x + 15. Determine -7*i(j) - 3*k(j).
-12*j + 11
Let i(d) = -73. Let v(m) = 44. Let g(p) = 3*i(p) + 5*v(p). Let x(z) = -z. Let o(n) = -6*n + 1. Let c(a) = -o(a) + 5*x(a). Calculate 3*c(k) + 3*g(k).
3*k
Let c(z) = 3*z**3 + 6*z**2 - 5. Suppose 3*v = 2*v + 5. Let f(o) = -32 - 2*o**3 - 26 + 87 - 25 - 5*o**2. Let t be (6/(-5))/(3/(-10)). Calculate t*c(y) + v*f(y).
2*y**3 - y**2
Let o(t) = -t - 1. Let k(m) = m - 1. Let b be k(6). Let s be 0 + 1 - (-3 - 0). Let u(a) = -s*a**2 - 2 - a + b*a**2 - a. Calculate -6*o(n) + 2*u(n).
2*n**2 + 2*n + 2
Let f(r) = -3*r**3 - 57*r**2 - 6*r + 6. Let n(u) = 5*u**3 + 114*u**2 + 11*u - 11. Determine -11*f(c) - 6*n(c).
3*c**3 - 57*c**2
Let f(b) = -7*b**2 - 42. Let v(a) = -15*a**2 - 85. Give -13*f(d) + 6*v(d).
d**2 + 36
Let z(i) be the third derivative of i**5/60 + i**4/8 + i**3/6 - 270*i**2. Let r(c) = -2*c**2 - 5*c - 2. Calculate -5*r(j) - 8*z(j).
2*j**2 + j + 2
Let j(n) = -43 - 39 + 9 + 9 + 4*n + 36*n. Let w(r) = -3*r + 5. Give 5*j(c) + 64*w(c).
8*c
Let k(q) = 13393*q**2 + 295. Let v(x) = -181*x**2 - 4. Determine -4*k(m) - 295*v(m).
-177*m**2
Let w(d) = 3*d + 1. Let o(t) = 10*t - 74. Determine -o(a) + 4*w(a).
2*a + 78
Let c(z) = 2*z - 4. Let p be 2 + 1 + -8 + 2 + -1. Let t(h) be the third derivative of -h**4/24 + h**3/2 + 4*h**2. Give p*c(o) - 5*t(o).
-3*o + 1
Let a(b) = -100*b - 17. Let h(g) = -200*g - 41. Determine 5*a(k) - 2*h(k).
-100*k - 3
Suppose -5 = j - 0. Let w(t) = 177*t + 48. Let m(z) = -22*z - 6. Let h(l) = -51*m(l) - 6*w(l). Let k(i) = 17*i + 5. Determine j*h(c) + 18*k(c).
6*c
Let k(n) = 24*n**2 + 10*n - 14. Let q be 8/(-6)*245/(-196). Let z(b) be the first derivative of q*b**3 - 3*b + b**2 - 1. Determine 3*k(y) - 14*z(y).
2*y**2 + 2*y
Let g(h) = -2*h**3 + 6*h**2 - 8. Let u(s) = 4*s**3 - 13*s**2 + 17. Let t = 584 + -571. Give t*g(y) + 6*u(y).
-2*y**3 - 2
Let p(a) = 13*a**2 + 50*a - 13. Let n(q) = 7*q**2 + 24*q - 7. Determine -11*n(s) + 6*p(s).
s**2 + 36*s - 1
Let r(m) = 135*m - 142*m + 8 - 2. Let g(t) = 20*t - 17. Suppose -a + 2 = -4. Determine a*g(v) + 17*r(v).
v
Let h(i) = -5*i - 3. Let a(b) = -9*b - 5. Let t be (2 + 3/(-2))/((-1)/110). Let v = -49 - t. What is v*a(r) - 11*h(r)?
r + 3
Let i be 1/3*(7 - 4). Let t(m) = -m + 1. Let c(y) = 14*y + 1. Let g(l) = 32*l + 2. Let b(d) = 7*c(d) - 3*g(d). Determine i*b(r) - t(r).
3*r
Let o(j) = j + 2. Let c(z) = 8*z + 13. Let l(a) = a + 7. Let i be l(-4). Let y(n) = -n - 1. Let m(q) = i*y(q) + c(q). Give -2*m(s) + 11*o(s).
s + 2
Let b(v) = 20*v - 5. Suppose -4*s - 2*g - 4 = -2, -10 = 2*s - 2*g. Let f(j) = 4*j - 1. Calculate s*b(p) + 11*f(p).
4*p - 1
Let w(b) = -111*b**2 + 9*b + 7. Let c(x) = 55*x**2 - 5*x - 4. Calculate -5*c(g) - 3*w(g).
58*g**2 - 2*g - 1
Let d(b) = 415*b**2 + 3*b - 2. Let i(s) = 417*s**2 + 4*s - 2. Give 4*d(z) - 3*i(z).
409*z**2 - 2
Let k(b) = 6*b - 77. Let y(p) = 5*p - 79. Calculate 3*k(s) - 4*y(s).
-2*s + 85
Let s(j) = -j - 1. Let x(k) = -7*k - 382. Calculate -5*s(p) + x(p).
-2*p - 377
Let j(v) = 2*v + 4. Suppose 4*g = -3*m + m + 86, 3 = 3*m. Let t = g + -12. Let o(h) be the second derivative of -h**3/6 - h**2 - 2*h. Calculate t*o(f) + 4*j(f).
-f - 2
Let y(v) = -119*v. Let m(n) = -1780*n. Give -6*m(f) + 89*y(f).
89*f
Let h(s) = -17*s**3 + 10*s - 7. Let v(y) = -6*y**3 + 3*y - 2. Let q = 687 - 694. Give q*v(o) + 2*h(o).
8*o**3 - o
Suppose 0 = -2*a - 3*a + 15. Suppose 0 = f + 4*j + 2, 5*f + 2*j + 31 = a*j. Let r(i) = 2*i**3 + 6*i + 5. Let d(s) = 3 - 4 + 2 + s. Determine f*d(g) + r(g).
2*g**3 - 1
Let q(y) = -15*y + 21. Let m be 4/(-8)*7*2. Let s = m + 28. Let o(w) = 3*w - 4. Determine s*o(j) + 4*q(j).
3*j
Let z(c) = c - 6. Let n(x) = -x + 5. Let h be (10/6)/((-2)/(-6)). What is h*z(f) + 6*n(f)?
-f
Let s(a) = -6*a**2 - 3. Let d = 17 + -18. Let z(r) = 7*r**2 + r + 3. Let v be z(0). Let b(g) = -g**2 - 1. Determine d*s(m) + v*b(m).
3*m**2
Let w(g) = -g**3 - g**2 + 2*g. Let p(r) = -r. Suppose -2*h = 2*m, -2*m + 6*m + 18 = 5*h. Calculate h*p(d) + w(d).
-d**3 - d**2
Let t(a) = -5*a. Let k(v) = -18*v - 315. Give k(d) - 4*t(d).
2*d - 315
Let i(w) = -7*w + 7. Let t(p) = -6*p + 9. What is 4*i(r) - 5*t(r)?
2*r - 17
Let q(i) = i**2 + 8*i - 5. Let v(r) = 13*r + 5. Let n(t) = -28*t - 11. Let g(c) = -6*n(c) - 13*v(c). Determine -5*g(u) - q(u).
-u**2 - 3*u
Let m be -14 + 8 - (2 + -3). Let i(n) = 11*n - 5. Let x(v) = 54*v - 24. What is m*x(q) + 24*i(q)?
-6*q
Let t = -20 - -11. Let b(a) = -a - 3 - 4 - 2*a + 2 + 0. Let s(j) = j + 1. Calculate t*s(g) - 2*b(g).
-3*g + 1
Let j(c) = 13*c**3 + 24*c. Let k(m) = -m**3 - m. Determine 2*j(l) + 18*k(l).
8*l**3 + 30*l
Let v(q) = 9*q**3 - 8*q**2 + 6*q. Suppose 5*p - 2*p - 9 = 0. Let r(z) = 17*z**2 - 2*z**p + 4*z**3 - 18*z**2 + z - z**3. Determine -6*r(k) + v(k).
3*k**3 - 2*k**2
Let o(y) = -4*y**2 + 2*y - 4. Let t(r) = 11*r**2 - 5*r + 13. Calculate -8*o(q) - 3*t(q).
-q**2 - q - 7
Let j(n) = 4*n + 14. Let m be j(-8). Let d = m - -24. Let g(s) = 6*s**2 + 17*s + 11. Let x = 19 + -2. Let p(h) = -2*h**2 - 6*h - 4. Calculate d*g(a) + x*p(a).
2*a**2 - 2
Let p(m) = -2*m**3 - 2*m**2 - 14*m. Let s(t) = 5*t**3 + 5*t**2 + 43*t. Give -11*p(v) - 4*s(v).
2*v**3 + 2*v**2 - 18*v
Let i = 128 + -127. Let c(k) = -1. Let f(n) = -2. Let s(d) = 11*c(d) - 6*f(d). Let g(t) = 0 + 2*t**2 - t**2 + 2*t + 2*t**3 - 2. Give i*g(w) + 2*s(w).
2*w**3 + w**2 + 2*w
Let m(n) = 3*n - 2. Let j(w) = -4*w - 767. Calculate j(z) + m(z).
-z - 769
Let w(u) = u + 1. Let n(f) = -f**2 + 3*f + 26. What is -n(v) + 4*w(v)?
v**2 + v - 22
Suppose 5*g + 23 = f, 4*f + 8 = -0. Suppose 0 = 15*c - 4*c - 22. Let m(j) = -31*j + 22 + 10*j + 9*j + c*j. Let i(w) = -4*w + 9. Calculate g*m(n) + 12*i(n).
2*n - 2
Let f(z) = 5*z**3 + 2*z**2 - 3*z + 2. Let w(x) = -x**3. Calculate f(l) + 4*w(l).
l**3 + 2*l**2 - 3*l + 2
Suppose j = -3*j + i - 18, -4*i + 8 = 0. Let w(p) = 5*p**2 + 2. Let r(o) = -6*o**2 - 1. Calculate j*w(g) - 3*r(g).
-2*g**2 - 5
Suppose -4*i - i + 40 = 4*k, 2*i = 8. Let w(p) be the second derivative of p**3/6 - p**2 + 133*p - 1. Let a(f) = f**2 + 2*f - 5. Calculate k*w(t) - 2*a(t).
-2*t**2 + t
Let l(w) be the third derivative of -w**5/10 + w**4/6 + 117*w**2. Let b(v) = -11*v**2 + 7*v - 1. Calculate 4*b(x) - 7*l(x).
-2*x**2 - 4
Let n(m) = -4*m + 1. Let z be n(-1). Let o(d) = 2. Let h(c) = -26*c - 260. Let i(a) = -2*h(a) - 260*o(a). Let t(w) = -8*w. Give z*i(j) + 32*t(j).
4*j
Suppose 2*x - 9 = 5*x. Let k(t) be the third derivative of t**5/30 + t**4/8 + 4430*t**2. Let q(c) = -c**3 - 3*c**2 - 4*c. Determine x*k(n) - 2*q(n).
2*n**3 - n
Let w(t) be the third derivative of t**6/120 + t**5/60 + t**4/24 + t**3/6 - 25*t**2. Let l(v) = -7*v + 3 + 3*v**3 - 1 + 3*v**2 + 7*v. Calculate -l(b) + 2*w(b).
-b**3 - b**2 + 2*b
Let h(m) = 3*m**3 + 6*m**2 + 3*m - 64. Let n(g) = -3*g**3 - 8*g**2 - 4*g + 65. Determine 4*h(t) + 3*n(t).
3*t**3 - 61
Let c(j) = 1. Let w(o) = -3*o + 11. Let x(h) = 7*h**2 - 4*h + 2. Let r be x(2). Let y = 5670 + -5672. Give r*c(m) + y*w(m).
6*m
Let m(y) = -21*y + 6. Let u(p) = 17*p - 6. Let l(j) = -2*m(j) - 3*u(j). Let k(g) = -3*g + 2. Give 7*k(r) - 2*l(r).
-3*r + 2
Suppose 2 = -2*c + 14. Let f(u) = -u**2 + 2*u + 896351 + 4*u**2 - u**3 - 896351. Let l(j) = j**2 + j. Calculate c*l(h) - 2*f(h).
2*h**3 + 2*h
Let o(g) = -108 + 55 + 8*g**2 + 61. Let u(r) = 3*r**2 + 3. Let b be 6 - 19 - (0 - 2). Give b*u(j) + 4*o(j).
-j**2 - 1
Let s(h) = -6*h**2 - 8*h - 14. Let r(d) = -2*d**2 - 5*d - 3. Let u(p) = -4*p**2 - 11*p - 5. Let k(i) = 5*r(i) - 2*u(i). Give 8*k(b) - 3*s(b).
2*b**2 + 2
Let g(u) = -5*u**2 + 4*u + 1. Suppo | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence pcp when three letters picked without replacement from gupuggpccccppu?
2/91
Calculate prob of sequence tbtr when four letters picked without replacement from {b: 1, c: 2, r: 6, t: 2}.
1/660
Two letters picked without replacement from yyygyygygyyygygyyy. What is prob of sequence yy?
26/51
Three letters picked without replacement from wcwwwwcwwwwwcwwwww. Give prob of sequence www.
455/816
Four letters picked without replacement from {t: 3, d: 7, y: 2}. Give prob of sequence ytdd.
7/330
Calculate prob of sequence ff when two letters picked without replacement from nfnnnnnnfnnnnnnnnn.
1/153
Calculate prob of sequence yv when two letters picked without replacement from vyvvyvvvvvyyvvvvvv.
28/153
What is prob of sequence bc when two letters picked without replacement from crrrrcgbrcgcrrrr?
1/60
Three letters picked without replacement from cgplnlce. What is prob of sequence pcn?
1/168
What is prob of sequence vqeb when four letters picked without replacement from {q: 8, v: 2, b: 2, e: 4}?
4/1365
Four letters picked without replacement from {c: 15, r: 3}. What is prob of sequence rcrr?
1/816
Four letters picked without replacement from {b: 4, q: 4, o: 3, v: 9}. What is prob of sequence oqqb?
2/1615
Four letters picked without replacement from vhpzpvzphhmbzpz. What is prob of sequence zvzb?
1/1365
What is prob of sequence hea when three letters picked without replacement from cakeh?
1/60
Three letters picked without replacement from {n: 2, a: 11, r: 2, h: 3, c: 1}. What is prob of sequence crh?
1/969
What is prob of sequence sr when two letters picked without replacement from osoolrow?
1/56
Four letters picked without replacement from aaaaaazaaaaazaaaaaa. What is prob of sequence zzaa?
1/171
Three letters picked without replacement from efefeffefeeee. Give prob of sequence fee.
70/429
What is prob of sequence ld when two letters picked without replacement from {n: 1, b: 3, x: 2, d: 4, l: 1}?
2/55
Calculate prob of sequence nk when two letters picked without replacement from {d: 2, k: 3, n: 1, j: 4}.
1/30
What is prob of sequence ggp when three letters picked without replacement from ppppdpdpgpppdpp?
0
Three letters picked without replacement from {c: 7, i: 5, r: 1, v: 1}. Give prob of sequence ccc.
5/52
Two letters picked without replacement from sddddxsssxds. Give prob of sequence dx.
5/66
Calculate prob of sequence ty when two letters picked without replacement from {t: 2, z: 4, y: 2, b: 11}.
2/171
Two letters picked without replacement from annppaadnnadbopdn. Give prob of sequence od.
3/272
Three letters picked without replacement from {l: 2, x: 2, v: 4, a: 5}. Give prob of sequence avl.
10/429
Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuuuuuu.
1
Three letters picked without replacement from {p: 5, n: 1, m: 3, c: 1}. What is prob of sequence mpp?
1/12
Three letters picked without replacement from {a: 1, p: 6, n: 1, i: 2, c: 3}. Give prob of sequence pic.
3/143
Four letters picked without replacement from {v: 2, o: 7, a: 11}. What is prob of sequence ooao?
77/3876
Two letters picked without replacement from {q: 5, m: 8, j: 3}. Give prob of sequence mq.
1/6
Four letters picked without replacement from {g: 2, s: 8, k: 2, n: 3}. Give prob of sequence knkg.
1/2730
What is prob of sequence zzz when three letters picked without replacement from {z: 3, u: 1}?
1/4
Three letters picked without replacement from {n: 1, u: 2, j: 1, s: 1}. What is prob of sequence jus?
1/30
Four letters picked without replacement from {q: 2, n: 1, g: 2, e: 1, w: 1, z: 1}. What is prob of sequence gqqw?
1/420
Two letters picked without replacement from xccneanauncuaccacaxc. What is prob of sequence cx?
7/190
Two letters picked without replacement from zpapzaakzagaa. Give prob of sequence zz.
1/26
Calculate prob of sequence mv when two letters picked without replacement from mmwmmwvwwmjmwmwmmmjv.
1/19
What is prob of sequence ugg when three letters picked without replacement from {u: 4, d: 6, g: 2}?
1/165
What is prob of sequence og when two letters picked without replacement from zimmogjj?
1/56
Calculate prob of sequence eqr when three letters picked without replacement from qqqqeqrreeeeeeqq.
7/240
Three letters picked without replacement from cqcnzccczcnnccnnnccg. Give prob of sequence qgn.
1/1140
Two letters picked without replacement from ssssss. What is prob of sequence ss?
1
What is prob of sequence nvvv when four letters picked without replacement from {n: 3, v: 13}?
33/280
Three letters picked without replacement from kkwjjkwwjxljhll. Give prob of sequence xkx.
0
What is prob of sequence zj when two letters picked without replacement from tsjzutul?
1/56
Calculate prob of sequence uuu when three letters picked without replacement from {u: 10}.
1
What is prob of sequence ynn when three letters picked without replacement from yxlynydpdndy?
1/165
What is prob of sequence vw when two letters picked without replacement from {v: 1, c: 1, w: 2, t: 2}?
1/15
Four letters picked without replacement from {u: 14, e: 4}. What is prob of sequence euue?
91/3060
What is prob of sequence ffyg when four letters picked without replacement from fgffgygggffffg?
3/286
Two letters picked without replacement from {g: 11, r: 3, m: 4}. Give prob of sequence mg.
22/153
What is prob of sequence cic when three letters picked without replacement from iccc?
1/4
Three letters picked without replacement from {n: 1, w: 1, e: 1, z: 3, j: 1}. What is prob of sequence wjz?
1/70
Two letters picked without replacement from hnrhrhqhrnnmnnrn. What is prob of sequence mr?
1/60
Two letters picked without replacement from {i: 4, v: 1, s: 1, u: 1, q: 1}. What is prob of sequence qi?
1/14
Three letters picked without replacement from qlqdcqddddddqdcdlddd. Give prob of sequence qcl.
2/855
Calculate prob of sequence brw when three letters picked without replacement from bwjibrrdi.
1/126
What is prob of sequence xbj when three letters picked without replacement from xbajl?
1/60
What is prob of sequence yvyq when four letters picked without replacement from {y: 3, q: 1, v: 1}?
1/20
Four letters picked without replacement from {u: 2, x: 5}. Give prob of sequence xxxx.
1/7
Three letters picked without replacement from cfbccfcfbfc. What is prob of sequence fcb?
4/99
Calculate prob of sequence tw when two letters picked without replacement from {w: 3, s: 3, b: 5, f: 4, t: 3}.
1/34
What is prob of sequence ttr when three letters picked without replacement from {t: 8, r: 3}?
28/165
Three letters picked without replacement from aljjaoa. What is prob of sequence joj?
1/105
What is prob of sequence jm when two letters picked without replacement from mmrnjmjrjnjvnjmjm?
15/136
Four letters picked without replacement from {w: 1, d: 1, c: 1, g: 1, l: 1}. Give prob of sequence wldc.
1/120
Three letters picked without replacement from {b: 3, k: 5}. Give prob of sequence bbb.
1/56
Calculate prob of sequence dff when three letters picked without replacement from fdffdffyydyd.
2/33
Four letters picked without replacement from yywyyw. Give prob of sequence wyyy.
2/15
Calculate prob of sequence rfr when three letters picked without replacement from rfhfrrkhkhkhkhrkhhr.
20/2907
Two letters picked without replacement from {q: 1, j: 2, o: 1, y: 4}. Give prob of sequence jo.
1/28
Two letters picked without replacement from yyyyykyyyyyyyyxyyyy. What is prob of sequence yx?
17/342
Two letters picked without replacement from wgwwwhhbhhhhbuw. Give prob of sequence gw.
1/42
Three letters picked without replacement from xooxoooooo. What is prob of sequence oox?
7/45
Three letters picked without replacement from iiiipiippiiiiiipiii. What is prob of sequence ppi?
10/323
Three letters picked without replacement from vezevfesfef. What is prob of sequence ves?
4/495
Three letters picked without replacement from knkzikjizzjzjzkirj. Give prob of sequence zkz.
5/306
Calculate prob of sequence egr when three letters picked without replacement from {r: 7, e: 1, g: 10}.
35/2448
Three letters picked without replacement from {j: 5, v: 9, s: 2}. Give prob of sequence sjs.
1/336
Two letters picked without replacement from {r: 1, e: 2, x: 4, u: 3}. What is prob of sequence ux?
2/15
What is prob of seque | {
"pile_set_name": "DM Mathematics"
} |
to five decimal places?
0.00462
What is -0.0014164449 rounded to four dps?
-0.0014
What is -1044871160 rounded to the nearest 100000?
-1044900000
What is 0.00094594478 rounded to seven dps?
0.0009459
What is -0.00069569423 rounded to six dps?
-0.000696
Round -0.5271412697 to one decimal place.
-0.5
What is 16846756430 rounded to the nearest 1000000?
16847000000
What is -924504.486 rounded to the nearest one hundred thousand?
-900000
Round 0.00000263030562 to 7 dps.
0.0000026
Round 574546.767 to the nearest 100000.
600000
What is 3673236890 rounded to the nearest one million?
3673000000
Round -1624.77927 to one dp.
-1624.8
What is 0.00001791597936 rounded to seven dps?
0.0000179
What is 0.0416878958 rounded to 4 dps?
0.0417
Round 1.81846208 to 3 dps.
1.818
What is 0.0000862858911 rounded to seven decimal places?
0.0000863
Round -4909276.52 to the nearest one hundred thousand.
-4900000
Round -663991.99 to the nearest 10000.
-660000
What is -0.0000447830168 rounded to five dps?
-0.00004
What is 54.123837 rounded to zero dps?
54
Round -1294827.89 to the nearest one thousand.
-1295000
What is -0.003966456594 rounded to five dps?
-0.00397
Round -26.115296551 to three decimal places.
-26.115
What is -26140842.5 rounded to the nearest 1000000?
-26000000
Round 21443411.49 to the nearest 10000.
21440000
Round -3.1654501 to two decimal places.
-3.17
What is -2104724.839 rounded to the nearest 10?
-2104720
Round 0.0102001168 to 3 decimal places.
0.01
Round -41.727139 to the nearest 10.
-40
What is -0.37843859 rounded to 3 decimal places?
-0.378
Round -0.0288939647 to 5 dps.
-0.02889
Round 0.0610616237 to 6 dps.
0.061062
What is 61.990585 rounded to 2 dps?
61.99
What is 891.327 rounded to the nearest 10?
890
What is -10715098.88 rounded to the nearest 100?
-10715100
Round -0.00740368907 to seven decimal places.
-0.0074037
What is -474159.3555 rounded to the nearest ten thousand?
-470000
What is -1.6989731 rounded to four dps?
-1.699
Round -0.0053469542 to five decimal places.
-0.00535
What is -0.23118362 rounded to one decimal place?
-0.2
Round 781088869 to the nearest 10000.
781090000
What is 661201.926 rounded to the nearest 1000?
661000
Round 0.3814473774 to one decimal place.
0.4
Round -1828446.474 to the nearest 100.
-1828400
Round -0.00259412171 to 5 decimal places.
-0.00259
Round -4739442.93 to the nearest ten thousand.
-4740000
What is 69417.549 rounded to the nearest 100?
69400
What is -10749891588 rounded to the nearest 1000000?
-10750000000
Round -132.741025 to the nearest ten.
-130
What is 0.0000018288466 rounded to 7 dps?
0.0000018
What is 903735.22 rounded to the nearest 1000000?
1000000
What is 3771.300953 rounded to 0 decimal places?
3771
Round -186549.318 to the nearest one hundred.
-186500
What is -117475.42973 rounded to the nearest 1000?
-117000
What is -0.00417211851 rounded to four dps?
-0.0042
What is -14987840.98 rounded to the nearest 100?
-14987800
What is -142.5309155 rounded to the nearest ten?
-140
What is -0.000041346489 rounded to five dps?
-0.00004
What is 145346.97 rounded to the nearest one thousand?
145000
What is -3994109403 rounded to the nearest 1000000?
-3994000000
Round -0.0000118710865 to seven dps.
-0.0000119
Round -58551.46935 to the nearest integer.
-58551
What is -40604.458 rounded to the nearest ten?
-40600
What is -363.02706 rounded to the nearest 100?
-400
What is -0.0000670930155 rounded to six dps?
-0.000067
What is 5228.593174 rounded to the nearest 1000?
5000
Round -0.00100041373 to 4 decimal places.
-0.001
What is 77151.84536 rounded to the nearest integer?
77152
Round 5764778.608 to the nearest 100.
5764800
Round 29.8920582 to 2 decimal places.
29.89
What is 0.0002507955594 rounded to five dps?
0.00025
What is -716140.999 rounded to the nearest one hundred thousand?
-700000
Round 1898032.59 to the nearest 100000.
1900000
Round -1705.5621 to the nearest 100.
-1700
What is -2547896.67 rounded to the nearest one million?
-3000000
What is -20.812471 rounded to one dp?
-20.8
Round 30678.5741 to the nearest 1000.
31000
Round 60.0199135 to two decimal places.
60.02
Round 1.2773781914 to 5 dps.
1.27738
Round 13073570.681 to the nearest one thousand.
13074000
Round -8839.78787 to the nearest 1000.
-9000
What is 0.0145321745 rounded to 5 decimal places?
0.01453
What is -0.000008266908055 rounded to 7 dps?
-0.0000083
Round -289.7961451 to the nearest 10.
-290
Round -3387498.66 to the nearest 100.
-3387500
What is 18592778.362 rounded to the nearest 1000000?
19000000
What is -3437274250 rounded to the nearest 1000000?
-3437000000
Round -1.0719596638 to 1 dp.
-1.1
Round -3414.728466 to the nearest 100.
-3400
Round 2.05799535 to four decimal places.
2.058
Round 109.1250249 to 1 dp.
109.1
Round 66.24879 to the nearest integer.
66
What is -0.152405439 rounded to 4 dps?
-0.1524
What is -0.000084106561 rounded to 6 dps?
-0.000084
What is -223.75157 rounded to the nearest one hundred?
-200
Round -0.00002699661394 to 7 decimal places.
-0.000027
What is 549692.07 rounded to the nearest one hundred?
549700
Round -108.388299 to one decimal place.
-108.4
Round -4023387200 to the nearest 1000000.
-4023000000
Round -21161.8882 to the nearest ten.
-21160
What is 0.000051652317 rounded to seven decimal places?
0.0000517
What is -362111075.6 rounded to the nearest 100000?
-362100000
Round -0.108432231 to five dps.
-0.10843
Round -24.766134 to zero dps.
-25
Round 85885.5877 to zero dps.
85886
Round 111560.337 to the nearest 10.
111560
Round -112819593.1 to the nearest 10000.
-112820000
What is -0.231107041 rounded to 3 decimal places?
-0.231
What is -0.288514184 rounded to two decimal places?
-0.29
Round 257.921938 to 2 decimal places.
257.92
What is -0.00010363326636 rounded to 5 dps?
-0.0001
Round 1703819.69 to the nearest 100000.
1700000
What is -253826.9895 rounded to the nearest 10?
-253830
Round 0.00303734429 to 3 decimal places.
0.003
Round 13068987.88 to the nearest one million.
13000000
What is 195.4130244 rounded to two decimal places?
195.41
Round -55774.99922 to the nearest integer.
-55775
Round 14766506600 to the nearest 1000000.
14767000000
Round -0.210266824 to two dps.
-0.21
What is -0.0277347935 rounded to four dps?
-0.0277
Round 1202.87157 to 1 decimal place.
1202.9
What is -17.6513816 rounded to 3 decimal places?
-17.651
What is -523965.8366 rounded to the nearest ten thousand?
-520000
What is 15202.6825 rounded to the nearest integer?
15203
Round 297549.98 to the nearest 10000.
300000
Round 2819.293205 to 1 dp.
2819.3
What is -95.0364405 rounded to 0 dps?
-95
Round -265275060 to the nearest one hundred thousand.
-265300000
Round 650957.9 to the nearest ten thousand.
650000
What is 87.131869 rounded to the nearest 10?
90
What is -16661.4085 rounded to the nearest one hundred?
-16700
Round 6140.886 to the nearest integer.
6141
What is 0.00000090073234 rounded to 7 dps?
0.0000009
What is -123.8792046 rounded to 1 decimal place?
-123.9
What is -421784360 rounded to the nearest 1000000?
-422000000
What is -10538871.9 rounded to the nearest 1000?
-10539000
What is 0.01803145093 rounded to 3 decimal places?
0.018
Round -481.9811 to the nearest 100.
-500
What is 7.161537954 rounded to 3 decimal places?
7.162
What is 3877.555 rounded to the nearest ten thousand?
0
What is -12500658.1 rounded to the nearest 1000000?
-13000000
Round 341.0287389 to the nearest integer.
341
Round -0.0460918337 to four decimal places.
-0.0461
Round -598133948 to the nearest 10000.
-598130000
What is 0.001159171839 rounded to 7 decimal places?
0.0011592
Round 153009.7742 to zero dps.
153010
What is 415491.031 rounded to the nearest ten thousand?
420000
Round -0.0804266063 to 4 dps.
-0.0804
What is 0.02200500199 rounded to three decimal places?
0.022
What is 208.2836235 rounded to one decimal place?
208.3
Round 0.000574769745 to 6 dps.
0.000575
What is -15738.21827 rounded to the nearest integer?
-15738
What is 0.00256291774 rounded to 6 dps?
0.002563
Round 891305.8913 to the nearest 100.
891300
What is 384889.983 rounded to the nearest ten?
384890
Round 6359911600 to the nearest one million.
6360000000
Round -0.0334105447 to three decimal places.
-0.033
Round 0.583573516 to 2 decimal places.
0.58
Round 654.3222486 to two decimal places.
6 | {
"pile_set_name": "DM Mathematics"
} |
0.5, 5, -205/4?
0.03
What is the closest to 0.2 in -4, -682, 1?
1
What is the nearest to -28 in -2/25, 4, -12/7, 0.9?
-12/7
What is the nearest to 0.1 in 5/168, -4, 13, 0.5?
5/168
Which is the closest to 2/3? (a) 26 (b) -0.04 (c) 0.4 (d) -0.3
c
Which is the closest to 2? (a) 2 (b) 1/6 (c) -6/11 (d) 60
a
Which is the nearest to -1/48? (a) -1 (b) -2/15 (c) 3/2 (d) -3/8
b
What is the nearest to 2/137 in 0.15, 4, -6.9, -1/2?
0.15
What is the nearest to 9/5 in -71, -0.7, -2/7, 0.1?
0.1
Which is the closest to -1? (a) 1/4 (b) 0.95 (c) -4 (d) 14
a
Which is the closest to -37.15? (a) 1/15 (b) 0.5 (c) -6
c
Which is the nearest to -3? (a) 8 (b) -0.7 (c) 0.02 (d) -5
d
Which is the nearest to -0.316? (a) 12 (b) 0 (c) -0.5
c
Which is the closest to 9.31? (a) -5/2 (b) 4 (c) 53
b
What is the nearest to 1 in -0.2, 5, 0.2, 0.009?
0.2
Which is the nearest to 1? (a) 4 (b) -14 (c) -2/55
c
Which is the nearest to -75? (a) 40 (b) 5/4 (c) -0.4
c
Which is the closest to -1? (a) 0.03 (b) 2 (c) 70 (d) 0.2 (e) -5/6
e
Which is the nearest to 0? (a) 24 (b) -2 (c) -1 (d) 141
c
Which is the closest to 0.57? (a) 1/2 (b) -3 (c) -0.5 (d) -15
a
Which is the closest to -3? (a) 396 (b) -1 (c) 2/5 (d) -1/6 (e) -1/9
b
Which is the closest to 0.3? (a) 1450 (b) -0.5 (c) 5/4
b
Which is the closest to 2? (a) -4 (b) -57886 (c) 1 (d) 2
d
What is the nearest to -63 in 1/3, -332, 4, 0.4?
1/3
What is the closest to -65 in -4/5, 4, -0.3, 1/3?
-4/5
What is the closest to -481 in 0, 1, -2/3, 4?
-2/3
What is the closest to -1 in 0.208, 0.5, 1/3, -0.3, -80?
-0.3
What is the closest to -7 in 1/2, 0.4, -433?
0.4
What is the nearest to 7/4 in 1839, -0.5, -3?
-0.5
Which is the nearest to 1/18960? (a) -2 (b) -0.2 (c) -0.5
b
What is the nearest to -7 in 0.2, -877, 0.3?
0.2
What is the nearest to -0.1 in 0.3, 15232, -1/5?
-1/5
What is the nearest to 12.7 in -445/12, 1/3, 1/4?
1/3
What is the nearest to -4/3 in -0.3, -0.04899, -0.1?
-0.3
Which is the closest to 0? (a) 0.5 (b) 1/43 (c) -0.23 (d) 1.2
b
Which is the nearest to -2? (a) 4/9 (b) 3/10 (c) -1/19
c
What is the closest to -1 in -2, 4, 0.5, -14, -1/4?
-1/4
What is the nearest to 2 in 0.2, -2/7, -61, 2/487, 0.1?
0.2
What is the closest to 64/7 in -1, 0.01, -0.2?
0.01
Which is the nearest to 50? (a) -5 (b) 1.02 (c) -1/8
b
Which is the nearest to -2? (a) 4.9 (b) -0.1 (c) 14
b
Which is the closest to -2/3? (a) -36 (b) -34 (c) -0.4 (d) -6 (e) 0
c
What is the closest to -1/3 in -4, -2, 1064?
-2
Which is the closest to -3/5? (a) -1/3 (b) -5 (c) -173
a
Which is the nearest to 0.2? (a) 5 (b) 0.4 (c) 3380 (d) -0.3
b
Which is the nearest to 5? (a) 29 (b) -2 (c) 1.2
c
What is the closest to 39515 in 0.1, -4, 5, -0.1?
5
What is the nearest to -1 in -0.7, -5, 0, -10.7?
-0.7
Which is the nearest to 0.1? (a) 5 (b) 2568 (c) -24.8
a
Which is the closest to -0.1? (a) -0.02 (b) -3/20 (c) 4076
b
Which is the closest to -2.1? (a) 3 (b) 19 (c) -1/14
c
What is the closest to -0.8 in -3, -1/3, -0.5, 127, 3?
-0.5
What is the nearest to -14 in 10, 1, -1/11, 17?
-1/11
Which is the nearest to -2? (a) -1/18 (b) 14 (c) -1.1
c
What is the nearest to -387 in 2/5, -1, 2/11, -3, -0.5?
-3
Which is the nearest to 0? (a) -0.11 (b) 1/2 (c) -0.3 (d) -3
a
What is the nearest to 0 in 1.31, 1322, 3, 0?
0
Which is the nearest to -2? (a) -5 (b) -3/4 (c) 112 (d) 2 (e) 56
b
Which is the nearest to -2/17? (a) 0.3 (b) -4/5 (c) 3 (d) 5 (e) 0.67
a
Which is the closest to 6? (a) 4 (b) 3/53 (c) -2.3
a
Which is the closest to -1/9? (a) -67 (b) 29 (c) 1/4 (d) 3
c
Which is the nearest to 3? (a) -1 (b) -4972/5 (c) 0.01 (d) 0.2
d
Which is the nearest to -0.2? (a) 9755 (b) 5 (c) -2/5
c
What is the closest to -4/5 in -0.5, -1.1323, 0.2?
-0.5
Which is the nearest to -0.0714? (a) -2 (b) 2.04 (c) -1/4
c
Which is the nearest to 4? (a) -3 (b) -0.4 (c) 59
b
What is the closest to -1 in -243/2, -2, 11?
-2
What is the nearest to 2/5 in 13.8205, 3, -4?
3
What is the nearest to 1/4 in -0.3, 2/7, 1038, -14/3, -0.1?
2/7
Which is the nearest to -2/7? (a) 1/2 (b) 0 (c) 5 (d) 1 (e) 8/63
b
Which is the closest to -1? (a) -966/13 (b) -2 (c) -0.3
c
What is the nearest to 0.29 in -0.2, -3/5, 2/27, 3?
2/27
Which is the closest to -0.3? (a) -1/4 (b) 0.4 (c) 0.2 (d) -2318
a
Which is the nearest to 0? (a) 1/2 (b) 1/5 (c) -3 (d) -63260
b
Which is the nearest to 1? (a) -4 (b) 15/2 (c) 3.42 (d) -2
c
What is the nearest to -6/11 in -6, 0.6, 2/11, -9/5, 2?
2/11
Which is the closest to 0? (a) -1 (b) 4 (c) -6 (d) -2/9 (e) -7
d
What is the closest to -1 in -2/21, 1.4, 0.06, -2, 2/5?
-2/21
What is the closest to -0.2 in 0.17, 1, -0.2, -97?
-0.2
Which is the closest to 1/4? (a) 0.05 (b) -1/250 (c) -2/61 (d) -0.5 (e) 0
a
What is the nearest to -1/10 in -48, 8, -1?
-1
Which is the closest to -3/37? (a) -2/5 (b) -264 (c) -3 (d) -0.04 (e) 0
d
Which is the closest to -0.5? (a) -0.4 (b) -5 (c) -105 (d) 8 (e) -10
a
What is the closest to 5 in 1/9, -149, 0.7?
0.7
Which is the nearest to -2.25? (a) -48 (b) -1 (c) -5 (d) -2/3
b
Which is the closest to 0.05? (a) 2/13 (b) 0.4 (c) 2.7
a
Which is the nearest to 1/4? (a) -131/22 (b) -4 (c) -5 (d) 2/13
d
Which is the nearest to -1/4? (a) 0 (b) 52921 (c) -0.4 (d) 5
c
Which is the closest to -0.3? (a) -842 (b) -2 (c) 0.4
c
What is the closest to -4 in 1.2, 57, -63?
1.2
Which is the closest to -11? (a) -2/75 (b) 5 (c) -2.6
c
Which is the closest to 0.1? (a) -0.972 (b) 0.7 (c) -2
b
What is the closest to -0.1 in 0.4, -0.4, -1043, -28.7?
-0.4
What is the closest to 0.2 in -5, -801, -4, 0.01, 1/18?
1/18
Which is the closest to -0.1? (a) 0.4 (b) 0.05 (c) -0.037 (d) 1 (e) 4
c
Which is the closest to 0.1? (a) 168/5 (b) 0.9 (c) -7
b
What is the closest to -0.1 in 3, -2, -0.5, 2570?
-0.5
What is the closest to 2/275 in -2/9, -5/2, -42, -0.04?
-0.04
What is the nearest to 0 in -1/25, 1, -4, 0.02, 17/3?
0.02
What is the closest to 2 in 0, 26, 50/7?
0
What is the nearest to 2 in -1, 1/4, -0.1, -1282, 2/35?
1/4
Which is the nearest to 3? (a) -2 (b) 40 (c) 2/3 (d) 2/11
c
Which is the closest to -0.1? (a) 5 (b) -0.5 (c) -119 (d) -26
b
Which is the closest to -7? (a) 0.3 (b) -8 (c) -4908
b
Which is the nearest to -0.5? (a) 24 (b) 1 (c) 11 (d) 7
b
Which is the nearest to 2? (a) -21/8 (b) -1/9 (c) -356
b
Which is the closest to 0? (a) 662 (b) 10 (c) -1.2 (d) 1/11
d
What is the closest to -253 in -2/21, 0.4, -0.4, 4/7?
-0.4
What is the nearest to 0.14 in 1/934, 2, 0?
1/934
Which is the closest to -0.9? (a) -657 (b) 5 (c) -5 (d) -2/41
d
What is the nearest to -54/7 in -2/13, -12, 3/2?
-12
Which is the nearest to 634? (a) 3/7 (b) 2 (c) -3/4 (d) 1
b
Which is the closest to 3/8? (a) 2/51 (b) 1/4 (c) 1
b
What is the closest to -2/31 in 6, 1/3, -2?
1/3
What is the nearest to -3 in 0.04, 1/8, -5, -7?
-5
Which is the nearest to -3/166? (a) -0.5 (b) 1/6 (c) -2/17 (d) 2 (e) -5
c
Which is the nearest to 1/76? (a) 2/13 (b) -0.1 (c) 3 (d) -64
b
What is the nearest to 0.2 in 3/4, -1/20, -0.06, -72/7?
-1/20
What is the nearest to -1/23 in -5, -1/6, -4, -0.5, 0.062?
0.062
What is the closest to 5 in -4, 0.19, 31, 1?
1
What is the nearest to -1 in 0.401, 0.2, 6?
0.2
Which is the closest to -1/4? (a) 2 (b) -2 (c) -5/222 (d) 3
c
What is the nearest to 783 in 3/5, 3, 0?
3
Which is the nearest to -37? (a) 41 (b) 24/11 (c) -5
c
Which is the nearest to 0? (a) 3 (b) -0.184 (c) -2/3 (d) 2 (e) 1/2
b
Which is the nearest to -10? (a) -0.12 (b) -2/9 (c) 0.02 (d) 1
b
What is the nearest to -1 in -5, 357, -0.1, 2/3?
-0.1
Which is the nearest to -2? (a) -0.5 (b) -3/4 (c) -4.8 (d) 6
b
What is the closest to -1168 in -3, -2/9, 0.3, 0.05, -2/3?
-3
Which is the nearest to 1/2? (a) 0.8 (b) -12 (c) -134
a
What is the closest to 38 in 6/5, 6.7, -5, -0.3?
6.7
What is the nearest to 0 in 1/9, -1/4, -3, -1725, -0.3?
1/9
What is the closest to -3/2 in -0.05, -7, -117?
-0.05
Which is the nearest to 1/8? (a) 4 (b) -4 (c) 12/11 (d) -6/13 (e) 1/2
e
What is the nearest to -199 in -2/7, -3, 4, 10?
-3
What is the nearest to 0.18 in 1/5, -0.5, 17, 4?
1/5
What is the nearest to 8/31 in 2/5, 2/11, | {
"pile_set_name": "DM Mathematics"
} |
n base 2, what is -100001011 - 101?
-100010000
In base 3, what is 1 + -210?
-202
In base 5, what is 11 - 101?
-40
In base 2, what is -11 - 110001010?
-110001101
In base 16, what is -2 + 1ac7?
1ac5
In base 6, what is 2242 - 0?
2242
In base 7, what is 2 - 33?
-31
In base 9, what is -207 - -18?
-178
In base 6, what is 2 + 1551?
1553
In base 4, what is 131 + 1?
132
In base 11, what is -6a9 - 13?
-711
In base 11, what is 7 + 7?
13
In base 9, what is 2 + -153?
-151
In base 7, what is -5 + -2053?
-2061
In base 15, what is -e + 0?
-e
In base 16, what is ff + d?
10c
In base 16, what is 0 - 25?
-25
In base 13, what is 2 - -78?
7a
In base 6, what is 4 + -31?
-23
In base 8, what is -2440 + -2?
-2442
In base 6, what is -31 - -2?
-25
In base 10, what is 0 - -708?
708
In base 11, what is 5 - 12?
-8
In base 13, what is -1 - 39?
-3a
In base 11, what is -19 + 22?
4
In base 14, what is 3 + 69?
6c
In base 5, what is 301 + -1433?
-1132
In base 15, what is 2a - 5?
25
In base 3, what is 221200 + 2?
221202
In base 16, what is -e + -cb?
-d9
In base 6, what is -21525 - -3?
-21522
In base 10, what is 33 + -3?
30
In base 11, what is 4 + -809?
-805
In base 9, what is 5 + -36?
-31
In base 2, what is 1101 + 111110?
1001011
In base 10, what is 1 + 59?
60
In base 4, what is 10310 + 11?
10321
In base 7, what is 1 - 66?
-65
In base 11, what is -1 - -1038?
1037
In base 6, what is 4 + -44?
-40
In base 12, what is 184 + 2?
186
In base 9, what is 21 - 613?
-582
In base 13, what is 77 - 2?
75
In base 6, what is -10 - 42?
-52
In base 13, what is 86 + -2?
84
In base 3, what is -12 + 101211?
101122
In base 2, what is -10 + 100101111010?
100101111000
In base 12, what is 3 - 175?
-172
In base 4, what is -12203 + -2?
-12211
In base 8, what is 273 - -32?
325
In base 13, what is 45b + -5?
456
In base 12, what is -2 + 82?
80
In base 15, what is 2 + b0?
b2
In base 15, what is 0 + 2a?
2a
In base 9, what is 1352 + 2?
1354
In base 12, what is -3 + -3a?
-41
In base 5, what is -3241 - 3?
-3244
In base 12, what is -130 - -3?
-129
In base 10, what is -2 + -1566?
-1568
In base 15, what is 0 - 40d?
-40d
In base 14, what is -3 + d?
a
In base 9, what is -7506 - 2?
-7508
In base 6, what is -11 - -14?
3
In base 6, what is -25143 + -3?
-25150
In base 2, what is 10010100 + 1?
10010101
In base 8, what is -142 - -2?
-140
In base 7, what is 5 + -23116?
-23111
In base 15, what is -53 - 5?
-58
In base 9, what is 0 + 528?
528
In base 6, what is 0 + -114?
-114
In base 2, what is -11 + 10100011?
10100000
In base 14, what is a2 - -5?
a7
In base 16, what is 3 + -1e0?
-1dd
In base 15, what is 1 + -11e?
-11d
In base 7, what is 0 + -305?
-305
In base 15, what is 1 + -5d?
-5c
In base 9, what is -1 - 230?
-231
In base 8, what is 4774 - 3?
4771
In base 10, what is -4 + 178?
174
In base 6, what is -15 + 10?
-5
In base 10, what is -146 + 4?
-142
In base 4, what is 101230 + -2?
101222
In base 14, what is 34 + a?
40
In base 6, what is 12230 + -3?
12223
In base 9, what is -17 - 4?
-22
In base 14, what is 4 + 1a?
20
In base 4, what is -330 + 10?
-320
In base 16, what is -10 + -1?
-11
In base 8, what is 5 - 666?
-661
In base 6, what is 1224 - -2?
1230
In base 8, what is 27 - -14?
43
In base 6, what is -1 - -455?
454
In base 3, what is 12 - -200020?
200102
In base 15, what is -74 + c?
-67
In base 13, what is -1c + 17?
-5
In base 16, what is 22 - 6?
1c
In base 10, what is 116 + 26?
142
In base 4, what is -112231 + 20?
-112211
In base 10, what is 37 - -3?
40
In base 7, what is -40 + -332?
-402
In base 16, what is -6 - 30?
-36
In base 2, what is 1010011111 + 10?
1010100001
In base 5, what is 2 - -3030?
3032
In base 12, what is 727 - 3?
724
In base 9, what is -5 + 113?
107
In base 11, what is -3 + -170?
-173
In base 6, what is 11 - -32?
43
In base 16, what is e - 2c?
-1e
In base 4, what is 200 + 21?
221
In base 8, what is -62 - 31?
-113
In base 15, what is -60c - 3?
-610
In base 13, what is -1 + -16?
-17
In base 4, what is 30 - -12?
102
In base 10, what is -8 - 124?
-132
In base 7, what is -40 - -6?
-31
In base 10, what is 61 + -3?
58
In base 10, what is -20 - 23?
-43
In base 12, what is b7 + 17?
112
In base 6, what is -1 - -124?
123
In base 3, what is 10 + 2021?
2101
In base 14, what is -5 - 1a2?
-1a7
In base 5, what is 31341 + -3?
31333
In base 15, what is 9c + 3?
a0
In base 12, what is -994 + 4?
-990
In base 15, what is -3 + -42?
-45
In base 16, what is -1 + d64?
d63
In base 4, what is 20 + 20?
100
In base 8, what is -56 - -4?
-52
In base 11, what is -5 - 27?
-31
In base 8, what is -2 - 224?
-226
In base 9, what is 5 + -6?
-1
In base 16, what is 100 - -4?
104
In base 14, what is -19d6 + -1?
-19d7
In base 3, what is -1221 - 2212?
-11210
In base 9, what is -360 - 2?
-362
In base 8, what is 15 + 76?
113
In base 9, what is 241 + 24?
265
In base 5, what is -102 + 32?
-20
In base 4, what is 13 + -230?
-211
In base 15, what is 15 - 10?
5
In base 4, what is 22 - -213?
301
In base 11, what is 9957 + -2?
9955
In base 6, what is 2 - -545?
551
In base 7, what is -21 + -32?
-53
In base 5, what is 12 + -233?
-221
In base 8, what is 10737 + 3?
10742
In base 6, what is -15 + 240?
221
In base 13, what is 4 - -31?
35
In base 10, what is -2 - 751?
-753
In base 13, what is -312 - -1?
-311
In base 7, what is -653 + -20?
-1003
In base 15, what is 149 + -1?
148
In base 15, what is -2e + -21?
-50
In base 5, what is 10 - 1212?
-1202
In base 7, what is 1360 - 4?
1353
In base 12, what is 3 + 8?
b
In base 7, what is -114 + 1?
-113
In base 6, what is -1054 + 34?
-1020
In base 14, what is -18 + da?
c2
In base 3, what is -2 - -11?
2
In base 9, what is 5 + -5720?
-5714
In base 8, what is 10 - -7?
17
In base 3, what is 211 + 10?
221
In base 16, what is -6 - -a7?
a1
In base 15, what is 4 + -813?
-80e
In base 6, what is 143 - -4?
151
In base 10, what is 191 + -4?
187
In base 16, what is -142 + 13?
-12f
In base 2, what is 1000001 - 1000010?
-1
In base 10, what is 841 + -2?
839
In base 10, what is -1332 - 10?
-1342
In base 11, what is 183 - 1?
182
In base 10, what is -394 + -1?
-395
In base 5, what is 2 + 3344?
3401
In base 12, what is -4 - -2107?
2103
In base 2, what is -100101110 + 100?
-100101010
In base 4, what is 1131203 - 11?
1131132
In base 4, what is 11303 - -10?
11313
In base 13, what is -a + -1c?
-29
In base 15, what is c - 3c?
-30
In base 16, what is -2f9b + -3?
-2f9e
In base 12, what is -5 - -1109?
1104
In base 10, what is 38 - -2?
40
In base 12, what is -261 - -4?
-259
In base 3, what is -11 - -10101111?
10101100
In base 12, what is 5 + 1b07?
1b10
In base 13, what is 17a - -4?
181
In base 7, what is 0 - -1312?
1312
In base 4, what is 133202 + -11?
133131
In base 2, what is 10000011000 + -10?
10000010110
In base 7, what is 55455 + -4?
55451
In base 2, what is 1000 + 10001?
11001
In base 12, what is -19 + -8?
-25
In base 8, what is -44 - 55?
-121
In base 4, what is 10002300 - -3?
10002303
In base 4, what is 1 - -232202?
232203
In base 7, what is -33 + 11?
-22
In base 13, what is 1360 + -4?
1359
In base 12, what is 5 + -3?
2
In base 10, what is -196 + 1?
-195
In base 11, what is 125 - -5?
12a
In base 12, what is 2 + 22?
24
In base 11, what is -22 + 11?
-11
In base 13, what is -5b - -7?
-54
In base 13, what is 4 + 36?
3a
In base 16, what is 0 - -8?
8
In base 11, what is -9 + 408?
3aa
In base 15, what is -4 - ec6?
-eca
In base 15, what is 2e0 + -2?
2dd
In base 8, what is -614 + -2?
-616
In base 13, what is -3 - -43?
40
In base 6, what is 113035 + -4?
113031
In base 8, what is 3544 - -3?
3547
In base 5, what is 1242 + -3?
1234
In base 2, what is -101 + 110101?
110000
In base 16, what is 4 - -23?
27
In base 7, what is 1215 - 100?
1115
In base 15, what is 1 + -62?
-61
In base 8, what is 426 - 10?
416
In base 16, what is -5 + -5b?
-60
In base 15, what is -4 - 126d?
-1272
In base 2, what is -111011 + 10?
-111001
In base 6, what is -3201 + -4?
-3205
In base 7, what is 0 - -14016?
14016
In base 4, what is -2 + 2212?
2210
In base 10, what is 4 + -23?
-19
In base 4, what is -2 - 223?
-231
In base 16, what is -8 - -4b8?
4b0
In base 2, what is 11010111011 - 100?
11010110111
In base 10, what is -583 + -3?
-586
In base 6, what is 2043 + -2?
2041
In base 7, what is -4542 - -5?
-4534
In base 8, what is -7 + -44?
-53
In base 2, what is -101100 - 10000?
-111100
In base 15 | {
"pile_set_name": "DM Mathematics"
} |
) = -4*t + 4. Let n = 19 + 2. Suppose n*x = 18*x + 15. Let l(j) = 2*j - 2. Calculate x*l(o) + 2*s(o).
2*o - 2
Let r(t) = -3*t**3 - 5*t**2 + 3. Let d(j) = -2*j**3 - 4*j**2 + 2. Let p = 15 + -11. Suppose -l = 4*l - 25. Suppose 6*h + 25 = -l. What is h*d(k) + p*r(k)?
-2*k**3 + 2
Let y(o) = -o + 1. Let q = -25 + 31. Suppose 6*s - q = 3*s. Let r(t) = t**2 - t + 1. Suppose -2 + 7 = -4*v + j, 2*j + 14 = -4*v. Determine s*r(k) + v*y(k).
2*k**2
Let o(t) = -6*t**3 - 69*t**2 - 6*t + 30. Let g(n) = n**3 + 14*n**2 + n - 6. Determine 11*g(p) + 2*o(p).
-p**3 + 16*p**2 - p - 6
Let v(o) = -5*o - 43. Let y(q) = q. Determine v(g) + 4*y(g).
-g - 43
Let r(d) be the third derivative of -d**6/120 + d**5/60 - d**4/24 - d**3/6 + 72*d**2. Let p(l) = 6*l**3 - 2*l**2 + 2*l + 2. Give -p(k) - 2*r(k).
-4*k**3
Let q(j) = 2*j**3 - j**2 + 3*j - 3. Let y(v) = -v**2 - v + 1. Let d = -723 - -724. Determine d*q(s) + 3*y(s).
2*s**3 - 4*s**2
Let a(d) = 67*d**3 - 4*d**2 + 4*d - 13. Let j(f) = -267*f**3 + 15*f**2 - 15*f + 51. Give 15*a(m) + 4*j(m).
-63*m**3 + 9
Let w(q) = 2*q**3 + 6*q**2 + q + 5. Let x(d) = 4*d**3 + 12*d**2 + 3*d + 13. Determine 5*w(u) - 2*x(u).
2*u**3 + 6*u**2 - u - 1
Let l(p) = -2*p + 6. Let w(t) = 5*t - 17. Let a = -89 + 44. Let u be ((-72)/a)/(4/10). Suppose -5*n + 5 = 5*d - 0, 32 = 5*d - u*n. What is d*w(r) + 11*l(r)?
-2*r - 2
Let f(r) = r + 41. Let c(t) = t + 42. What is 3*c(l) - 2*f(l)?
l + 44
Let x(j) = -j. Let q(u) = -8*u. Suppose 0 = 4*z - 3*z + 18. Let f(p) = z*x(p) + 2*q(p). Let r(b) = -6*b + b + 4*b. Calculate -5*f(k) - 12*r(k).
2*k
Let l(f) = -51*f - 14. Let s(w) = -100*w - 25. Give 5*l(a) - 3*s(a).
45*a + 5
Let n(w) be the second derivative of -w**4/3 - w**3/3 + w**2 - 155*w. Let v(s) = -5*s**2 - 3*s + 3. Give -6*n(y) + 4*v(y).
4*y**2
Let a(x) = 10*x**3 + 4. Let p(h) = 11*h**3 + 5. Let m = 276 + -281. Determine m*p(i) + 6*a(i).
5*i**3 - 1
Let y(m) = -7*m**2 + 6*m + 6. Let h(z) = -14*z**2 + 12*z + 12. Let d(i) = 6*h(i) - 11*y(i). Let n(k) = k**2 - k - 1. Determine d(s) + 6*n(s).
-s**2
Let z(u) be the first derivative of u**2/2 - u - 1. Let s(p) = -p. Suppose 0 = -24*b + 13425 - 13377. Give b*z(x) + 3*s(x).
-x - 2
Let j(y) = -9*y - 7. Let m(d) = -11*d - 8. What is -7*j(r) + 6*m(r)?
-3*r + 1
Let v(g) = 31*g**3 + 2*g**2 - 2*g + 2. Let m(c) = 187*c**3 + 13*c**2 - 13*c + 13. Determine -6*m(i) + 39*v(i).
87*i**3
Let t(s) = 28*s**2 - 9*s. Let x(l) = -7*l**2 + 2*l. Let v(k) = -3*t(k) - 11*x(k). Let o(b) = b**2 - b. Calculate 5*o(f) + v(f).
-2*f**2
Let c(x) = 11*x - x**2 - 2 + 19*x - 52*x + 21*x. Let l(b) = b**2 - b - 1. Calculate c(r) - l(r).
-2*r**2 - 1
Let j(b) = b**3 + 3*b + 3. Let k(u) be the second derivative of 0 - 2*u**2 - 2/3*u**3 + 4*u. Give 4*j(a) + 3*k(a).
4*a**3
Let s(x) = 2*x**2 - 6*x - 1. Let g(h) = -5*h**2 - 17*h - 1. Let p(i) = -4*i**2 - 15*i - 1. Let f(n) = -5*g(n) + 6*p(n). Determine 4*f(r) - 3*s(r).
-2*r**2 - 2*r - 1
Let t(v) = -2. Let h(n) = -309*n**3 - n**2 + 12. Give -h(r) - 6*t(r).
309*r**3 + r**2
Let i(z) = 4 - 10 + 4 - 2 + 3. Let o(w) = 7*w**2 + 5. Determine -10*i(q) - 2*o(q).
-14*q**2
Let u be (-256)/(-24) - ((-21)/9 - -2). Let c(n) = 21*n**3 - 15*n**2 - 11*n - 13. Let l(a) = 11*a**3 - 8*a**2 - 6*a - 7. What is u*l(d) - 6*c(d)?
-5*d**3 + 2*d**2 + 1
Let d(r) = -3*r**2. Let g(m) = 2*m**2 + 70*m + 67. Let j be g(-34). Let o(n) = -n**2. Calculate j*d(b) + o(b).
2*b**2
Suppose -31*h = -87*h - 56. Let u(m) = -m - 1. Let s(b) = 2*b**2 + 4*b + 5. Determine h*s(v) - 4*u(v).
-2*v**2 - 1
Let d(v) = 11*v**2. Let r(p) = 208*p**2. Suppose -125*j = -101*j + 2688. Calculate j*d(f) + 6*r(f).
16*f**2
Let p(v) = -4 + 4 - 1. Let z(j) = j + 3. Let f(g) = -g**2 + 11*g + 3. Let h be f(11). Calculate h*p(d) + z(d).
d
Let l(w) = 11*w**3 - 3*w**2 + 11*w - 5. Let x(d) = 5*d**3 - d**2 + 5*d - 2. Give -2*l(k) + 5*x(k).
3*k**3 + k**2 + 3*k
Suppose v + 2*w = 4, -5*w = -6*w + 3. Let q(k) = -k**2 + 0*k + 1 + 0*k. Let b(g) = g. What is v*q(r) + b(r)?
2*r**2 + r - 2
Let l(j) = 4*j**2 + 4*j + 9. Let i(r) = -12*r**2 - 11*r - 26. Let q(c) = 4*i(c) + 11*l(c). Suppose 2*n - 25 = -3*n. Let a(v) = -v**2 - 1. Give n*a(t) - q(t).
-t**2
Let w(x) = 6*x. Let v be 880/72 + -6 + (-4)/18. Let d(s) = -3*s. Give v*d(p) + 2*w(p).
-6*p
Suppose -7*k = -5*k - 4. Let w(p) = 3 + 0 - 11*p - 14 + 20*p**k. Let r(y) = -2*y**2 + y**2 - 4*y - 4 + 8*y**2. Calculate 11*r(u) - 4*w(u).
-3*u**2
Let f(u) = -u**2 + u - 1. Let i(a) = -2*a**2 - 6*a - 7. Give 5*f(t) - i(t).
-3*t**2 + 11*t + 2
Let q(t) = -t + 4. Let x(l) = l**3 - l**2 - 2*l + 5. Determine -3*q(c) + 2*x(c).
2*c**3 - 2*c**2 - c - 2
Let h(t) = -19*t + 7. Suppose -4*x - 11 = 3*m + 6, -3*x = -3*m - 3. Let n(u) = -10*u + 3. Determine m*h(c) + 7*n(c).
-13*c
Let q(c) = -4*c**2 + 23*c - 2. Let z(w) = 23*w**2 - 113*w + 10. Give -11*q(l) - 2*z(l).
-2*l**2 - 27*l + 2
Let d(q) = 2*q + 2. Let l be d(-4). Let g(t) be the second derivative of -4*t**3/3 + 11*t**2/2 + 81*t. Let m(j) = 4*j - 6. Determine l*g(x) - 11*m(x).
4*x
Let c(p) = 1. Let s(h) = 2*h - 5. Let t(v) = 8*v - 2. Let j(x) = x. Let a(n) = 10*j(n) - t(n). Let d be (-12)/(-18)*54/(-12). Let k be a(d). Give k*c(g) - s(g).
-2*g + 1
Let p(d) = -21*d**2 - 28*d - 42. Let c(o) = -14*o**2 - 18*o - 28. Let t(q) = -7*c(q) + 5*p(q). Let w(l) = l**2 + l + 1. Determine t(b) + 14*w(b).
7*b**2
Let z(t) = 29*t**3 + 7*t. Let k(y) = 29*y**3 + 7*y. Determine 4*k(r) - 3*z(r).
29*r**3 + 7*r
Let b(j) = 7*j**3 - j**2 + 4*j + 4. Suppose 0 = 10*m - 12*m + 6. Let q(t) = -6*t**3 - 3*t - 3. Determine m*b(r) + 4*q(r).
-3*r**3 - 3*r**2
Let b(i) = 8*i**2 + 1. Let c(w) = 10 + 7 - 23*w**2 - 20. Calculate -11*b(o) - 4*c(o).
4*o**2 + 1
Let i(x) be the second derivative of 17*x**5/20 + x**3/2 - 659*x. Let f(n) = -9*n**3 - n. Determine 11*f(r) + 6*i(r).
3*r**3 + 7*r
Let b = -23 + 24. Suppose -8*h - 7 - b = 0. Let s(y) = y**3 + 5*y**2 + 2*y - 7. Let a(o) = -o**2 + 1. Determine h*s(z) - 5*a(z).
-z**3 - 2*z + 2
Let j(b) = 182*b + 6. Let t(v) = -182*v - 9. Determine -4*j(l) - 3*t(l).
-182*l + 3
Let k(l) = -7*l - 9. Let g(a) = -10*a - 13. Suppose -5*d + 0*i = -5*i - 30, 10 = d - 5*i. Suppose -786*j + 779*j = 49. What is d*g(q) + j*k(q)?
-q - 2
Let s(i) = 32*i + 2. Let c(j) = 1343*j + 85. What is -6*c(n) + 255*s(n)?
102*n
Let b(w) = 5369*w**3 + 130*w**2 + 65*w. Let f(h) = 244*h**3 + 6*h**2 + 3*h. What is -3*b(m) + 65*f(m)?
-247*m**3
Let k(a) = -331*a + 655*a + 3 - 321*a - 3*a**3. Let q(g) = 0*g**3 + 5 + g**3 - 14*g + 15*g**3 - 19. What is 14*k(b) + 3*q(b)?
6*b**3
Let m(i) = 5*i + 28. Let l be m(-5). Let w(a) = -2*a**2. Let j(z) = -z**2 + 1. Calculate l*j(o) - w(o).
-o**2 + 3
Let d(w) = 4*w**2 + 4*w - 4. Let y(r) = -2852 + 1429 + 1428 - 4*r**2 - 5*r. What is 3*d(i) + 2*y(i)?
4*i**2 + 2*i - 2
Let q(d) = -2*d**2 + 23*d + 12. Let c be q(12). Let b(k) = -10*k + c + 22*k**2 - 4 - 31*k**2 + k. Let p(v) = 5*v**2 + 5*v + 2. What is 4*b(n) + 7*p(n)?
-n**2 - n - 2
Let r(w) = -3*w**2 - 6*w + 5. Let b(c) = -2*c**2 - 3*c + 3. Let a = -127 + 134. What is a*b(i) - 4*r(i)?
-2*i**2 + 3*i + 1
Let u(q) be the first derivative of q**4/2 + 2*q**2 - 182. Let j(r) = 9*r**3 + 15*r. What is -4*j(b) + 15*u(b)?
-6*b**3
Let w be 1 - 3/(9/3). Suppose w*p + p = -8. Let d be (p/(-12))/(3/(-18)). Let n(v) = -v**3 - 3*v**2 + 1. Let y(k) = -k**3 - k**2. Give d*y(s) + 2*n(s).
2*s**3 - 2*s**2 + 2
Let d(t) = t**2 + 18*t + 21. Let f(a) = 10*a + 11. Give 6*d(x) - 11*f(x).
6*x**2 - 2*x + 5
Let l(b) = 77*b - 1. Let y(v) = -v. Give 2*l(p) + 18*y(p).
136*p - 2
Let n(c) be the third derivative of 0 + 0*c**5 + 5*c**2 - 1/40*c**6 - 1/8*c**4 + 0*c + 2/3*c**3. Let a(m) = 4*m**3 - m**2 + 4*m - 5. Give 4*a(f) + 5*n(f).
f**3 - 4*f**2 + f
Let j(g) = -g + 3. Let f(c) = 33. Let h(z) = 20. Let u(q) = -3*f(q) + 5*h(q). What is 3*j(y) - 7*u(y)?
-3*y + 2
Let l(k) = -6*k + 2. Suppose 6*z - d = 2*z + 76, 3*z + 4*d = 76. Let m be (2/(-2))/(4/z). Let h(q) = 7*q - 2. What is m*h(f) - 6*l(f)?
f - 2
Let p(r) = -5*r + 70. Let w be p(15). Let d(q) = -q. Let b(u) = 7*u + 5. What is w*d(f) - b(f)?
-2*f - 5
Let t(n) = -2197*n + 27. Let s(o) = 439*o - 5. What is -11*s(g) - 2*t(g)?
-435*g + 1
Let b(z) = -26*z + 1. Let r(x) = 9*x. Suppose -143*i = -91*i - 312. What is i*b(q) + 17*r(q)?
-3*q + 6
Let h(z) = -3*z**3 + z**2 - 4*z + 2. Let u(b) = 2 + 8*b**3 - 4*b + 15*b - 1 - 6 - 3*b**2 + 0*b**3. Calculate 11*h(r | {
"pile_set_name": "DM Mathematics"
} |
Sort 98, 2, 0.11, -6, 0.2, -0.11.
-6, -0.11, 0.11, 0.2, 2, 98
Sort 0.5, 4, 2, -335/17, -4 in ascending order.
-335/17, -4, 0.5, 2, 4
Put -1, -3, 2, -111, -12 in decreasing order.
2, -1, -3, -12, -111
Put -4.5, 2/7, 2/9, 0.1, 1/2 in decreasing order.
1/2, 2/7, 2/9, 0.1, -4.5
Sort 1.8, 0.5, -3, -1, 5, 0.005.
-3, -1, 0.005, 0.5, 1.8, 5
Sort -3, 5, 1, -5106, 3.
-5106, -3, 1, 3, 5
Put 1, 10, -4, -375 in increasing order.
-375, -4, 1, 10
Sort 3, -6605, 5 in decreasing order.
5, 3, -6605
Put 3/8, -9, 78, 21/4 in decreasing order.
78, 21/4, 3/8, -9
Put 2/15, -2, -3, 939, 3 in descending order.
939, 3, 2/15, -2, -3
Sort 0.047, -5, 0, 6/11 in increasing order.
-5, 0, 0.047, 6/11
Sort 0, 2, -359, -2, 9 in descending order.
9, 2, 0, -2, -359
Put -6, -153, 8, -5 in decreasing order.
8, -5, -6, -153
Put -0.5, -2/7, 5, 1, 1656, -4 in increasing order.
-4, -0.5, -2/7, 1, 5, 1656
Sort -1366/79, 1/6, -4/5 in descending order.
1/6, -4/5, -1366/79
Sort -4, 39, 2, -3 in descending order.
39, 2, -3, -4
Put 2, -68, 180 in decreasing order.
180, 2, -68
Sort -3, 9127, 1, -1 in descending order.
9127, 1, -1, -3
Put 3/7, -5.1, -3/43 in descending order.
3/7, -3/43, -5.1
Put 11, 4, -23 in decreasing order.
11, 4, -23
Put 0, 3, -3, -50, -2 in descending order.
3, 0, -2, -3, -50
Sort -2/9, 66/17, -1/5, 1/6, 31 in decreasing order.
31, 66/17, 1/6, -1/5, -2/9
Put 15, -5, -1, 0.5, -10 in decreasing order.
15, 0.5, -1, -5, -10
Put -16, -0.3, -2.8, -2/7, -42/59 in ascending order.
-16, -2.8, -42/59, -0.3, -2/7
Put 373, -10, 4, 5 in descending order.
373, 5, 4, -10
Sort 1, 217621, 2 in ascending order.
1, 2, 217621
Sort 1, -14, -1742.
-1742, -14, 1
Sort -1/4, 2/5, 0.2, -0.5, 0.11 in increasing order.
-0.5, -1/4, 0.11, 0.2, 2/5
Put 3/5, 0.02, -86, 0.5, 3/22 in increasing order.
-86, 0.02, 3/22, 0.5, 3/5
Sort 61.64, -1/2, 407 in descending order.
407, 61.64, -1/2
Put -3, 2, 0, 150615, -2 in decreasing order.
150615, 2, 0, -2, -3
Sort 2, 0, 1201.
0, 2, 1201
Sort -2/7, -0.6, -696 in descending order.
-2/7, -0.6, -696
Put -3, 1/3, -0.5, 5, -1/3 in increasing order.
-3, -0.5, -1/3, 1/3, 5
Sort 0.0375, 0, 1/21 in increasing order.
0, 0.0375, 1/21
Put 5, -0.09, 2, -1/28, 1/2 in descending order.
5, 2, 1/2, -1/28, -0.09
Put 6, -5, -91, -15 in increasing order.
-91, -15, -5, 6
Sort 2, -2/5, 1/10, -3.6, -0.1, 1/9 in ascending order.
-3.6, -2/5, -0.1, 1/10, 1/9, 2
Sort -19041, -3, 0 in decreasing order.
0, -3, -19041
Put 25, 1, 5992, -3 in increasing order.
-3, 1, 25, 5992
Sort 4, 159, -2, 7 in ascending order.
-2, 4, 7, 159
Sort 13/6, 0.1, -0.02, -0.08, -0.1 in decreasing order.
13/6, 0.1, -0.02, -0.08, -0.1
Put -3, -2, 0, 42, 2, 5 in descending order.
42, 5, 2, 0, -2, -3
Put -5, 64, 3, 251 in descending order.
251, 64, 3, -5
Sort 168, -2, 35 in increasing order.
-2, 35, 168
Put -0.2, 0.1, -4/105, -18 in ascending order.
-18, -0.2, -4/105, 0.1
Sort -1/6, -2, 36/11, 2/7, 612 in descending order.
612, 36/11, 2/7, -1/6, -2
Sort -2/17, -5, 1/2, 251.6, -4/3 in descending order.
251.6, 1/2, -2/17, -4/3, -5
Sort 1, -4, -1927/5.
-1927/5, -4, 1
Put 0.13, -1, 6225 in decreasing order.
6225, 0.13, -1
Put -320, -47, 5 in descending order.
5, -47, -320
Put 1, 2, 17, -2, -56, -1 in ascending order.
-56, -2, -1, 1, 2, 17
Sort 5, -5637, 4 in descending order.
5, 4, -5637
Sort -0.4, 1/5, 180, -4, -19.2 in decreasing order.
180, 1/5, -0.4, -4, -19.2
Put 843, 85, 5 in increasing order.
5, 85, 843
Sort -2/281, 7/12, 4, -1/4, 3, 0.
-1/4, -2/281, 0, 7/12, 3, 4
Put 762, 1, -22.7 in ascending order.
-22.7, 1, 762
Sort 26, -16.04, -1 in decreasing order.
26, -1, -16.04
Sort -218, -6/7, -2, 2, -0.2.
-218, -2, -6/7, -0.2, 2
Sort 1/5, -2/11, 0.218 in descending order.
0.218, 1/5, -2/11
Sort -28, 3, 149, -91 in descending order.
149, 3, -28, -91
Sort -3, 4, -25, -6 in descending order.
4, -3, -6, -25
Put -2, -3, 557, 0 in ascending order.
-3, -2, 0, 557
Put -0.5, -1/6, 15/8, 41, -4 in descending order.
41, 15/8, -1/6, -0.5, -4
Sort -2, -147, 7/2, 272, 5 in descending order.
272, 5, 7/2, -2, -147
Sort 0.39, -4, -2/329, -0.1, 4, -3 in increasing order.
-4, -3, -0.1, -2/329, 0.39, 4
Sort 11, 0, 2754, 5, 9.
0, 5, 9, 11, 2754
Sort -1, 1139, 0, 180.
-1, 0, 180, 1139
Put 2, -5, 3477, 3, -3 in decreasing order.
3477, 3, 2, -3, -5
Put -3, 196, -2, 2, -6, 4 in ascending order.
-6, -3, -2, 2, 4, 196
Sort 1/2, -0.1, 151, -2/3, 0.4, -5 in increasing order.
-5, -2/3, -0.1, 0.4, 1/2, 151
Put -1/4, 8/4137, 2/13 in ascending order.
-1/4, 8/4137, 2/13
Put -2/3, 15.3, -2/85 in ascending order.
-2/3, -2/85, 15.3
Sort 69, -7, -8, -5 in increasing order.
-8, -7, -5, 69
Sort -15, 5, -17, -200 in decreasing order.
5, -15, -17, -200
Sort -5, 10, -0.18, -6, -4, 5/3 in ascending order.
-6, -5, -4, -0.18, 5/3, 10
Put -5, 12, -10194 in ascending order.
-10194, -5, 12
Sort -1, -5, 4, 413, 5, -7 in increasing order.
-7, -5, -1, 4, 5, 413
Sort -74, 5, -5, -66, -1, 4.
-74, -66, -5, -1, 4, 5
Sort -0.3, -2, -148, -14.2.
-148, -14.2, -2, -0.3
Sort 5, -5, 3, 276 in ascending order.
-5, 3, 5, 276
Sort 2, -3, -111, -4, 15 in decreasing order.
15, 2, -3, -4, -111
Sort 4, 131, -5417.
-5417, 4, 131
Sort -0.5, 2/13, -328, 3.2, -5, 2 in ascending order.
-328, -5, -0.5, 2/13, 2, 3.2
Sort 2, 1/2, 0.1, 1604.
0.1, 1/2, 2, 1604
Put -413, -1/5, 0.2, -2/39, -1 in decreasing order.
0.2, -2/39, -1/5, -1, -413
Sort -3, 3, 2, -4, -730.
-730, -4, -3, 2, 3
Put -21, -11, -2, -6, 4 in increasing order.
-21, -11, -6, -2, 4
Put -220, 3, 9 in increasing order.
-220, 3, 9
Put -59, 198, -2/9 in descending order.
198, -2/9, -59
Sort 129, -11, -2.
-11, -2, 129
Put -79, 3, 10, -1/4 in decreasing order.
10, 3, -1/4, -79
Put -181, -2, 14 in descending order.
14, -2, -181
Put 5/4, 12, -30, -0.3, -0.09 in decreasing order.
12, 5/4, -0.09, -0.3, -30
Sort -2, -3, 15, 2, 4, 3.
-3, -2, 2, 3, 4, 15
Put -4, 2, 16, 0, 20, 3 in ascending order.
-4, 0, 2, 3, 16, 20
Sort 8, -3, -58, 5, -4 in descending order.
8, 5, -3, -4, -58
Put 7, 35, -3/2, -24 in decreasing order.
35, 7, -3/2, -24
Put 1, 5, -5, -77/4, -1, 4/5 in decreasing order.
5, 1, 4/5, -1, -5, -77/4
Sort -4, 3, 28, -5, 6, 1 in decreasing order.
28, 6, 3, 1, -4, -5
Sort -15, 17, -4, -2, 11, 5 in ascending order.
-15, -4, -2, 5, 11, 17
Sort -1, 5, -36, 2, -2 in increasing order.
-36, -2, -1, 2, 5
Put 2.1, -2, 1/3, -12, 0.2 in descending order.
2.1, 1/3, 0.2, -2, -12
Put 7, -7, -6, -5, 120 in decreasing order.
120, 7, -5, -6, -7
Sort -4, -3/7, -2, 6/4787 in increasing order.
-4, -2, -3/7, 6/4787
Sort 57, -4, 259, -1 in increasing order.
-4, -1, 57, 259
Put 11, -194, 30 in ascending order.
-194, 11, 30
Put -26, -1011, -7, 4 in ascending order.
-1011, -26, -7, 4
Sort -64, -3, -31, -1, 4, -4.
-64, -31, -4, -3, -1, 4
Sort 1/10, -25, 20, 3, 5, 2.
-25, 1/10, 2, 3, 5, 20
Sort -2, -4, 16, 50, 19.
-4, -2, 16, 19, 50
Sort -14, 0, 9011, 4.
-14, 0, 4, 9011
Sort -16, 0, 4, 7, -2 in decreasing order.
7, 4, 0, -2, -16
Sort 0, 784, 3, -3, -6.
-6, -3, 0, 3, 784
Put 0, -2, 1, -22934 in descending order.
1, 0, -2, -22934
Sort 0, 4, -71272 in descending order.
4, 0, -71272
Sort 9, -1/6, -549 in increasing order.
-549, -1/6, 9
Put -5, -45/61, 4, -9 in increasing order.
-9, -5, -45/61, 4
Sort 2, 1, 3000, -2, -4 in decreasing order.
3000, 2, 1, -2, -4
Sort -2, 112, 3, -5, 5, 418.
-5, -2, 3, 5, 112, 418
Put 60, -8, -791 in decreasing order.
60, -8, -791
Put 0, -383, 0.7, 0.4, 21 in increasing order.
-383, 0, 0.4, 0.7, 21
Sort 2/11, -4, 8902, 4 in decreasing order.
8902, 4, 2/11, -4
Put -23, -0.1, -1/4, 0.16, -3, 0.3 in increasing order.
-23, -3, -1/4, -0.1, 0.16, 0.3
Put 1, 0, 58, 4, 2, 29 in ascending order.
0, 1, 2, 4, 29, 58
Sort -8, 3, 0.2, -1/7, -1.2, -2 in increasing order.
-8, -2, -1.2, -1/7, 0.2, 3
Put 4/9, -256, -1/5 in decreasing order.
4/9, -1/5, -256
Put 1, 5, 4, -3934 in descending order.
5, 4, 1, -3934
Sort -1/5, -2/421, -0.06, -0.35 in descending order.
-2/421, -0.06, -1/5, -0.35
Sort 40, 599, 1, -2 in increasing order.
-2, 1, 40, 599
Sort 1, -3, 16, 40158, -2 in ascending order.
-3, -2, 1, 16, 40158
Sort -10, 3, 2, -3, -195.
-195, -10, -3, 2, 3
Sort -30/143, -1/7, -27 in ascending order.
-27, -30/143, -1/7
Put 6/7, 8, 629/7 in decreasing order.
629/7, 8, 6/7
Put -7, -0.19, -1/124 in decreasing order.
-1/124, -0.19, -7
Sort 2/37, -1, 1/5, -0.06, | {
"pile_set_name": "DM Mathematics"
} |
at is the greatest common factor of 1196 and 25093874?
598
What is the greatest common divisor of 16135200 and 180?
180
Calculate the greatest common factor of 73278 and 1137166.
2714
Calculate the highest common divisor of 1219752304 and 1226.
1226
Calculate the greatest common factor of 586 and 107795872.
586
What is the greatest common factor of 116643699 and 27?
27
Calculate the highest common factor of 954327 and 22227.
717
What is the highest common factor of 928 and 1086166?
58
What is the highest common divisor of 222982732 and 42?
14
What is the greatest common factor of 76 and 317784861?
19
What is the highest common divisor of 97463364 and 30?
6
What is the greatest common divisor of 51 and 14551473?
51
Calculate the highest common divisor of 36 and 24428439.
9
Calculate the greatest common divisor of 820 and 1536700.
20
Calculate the highest common factor of 264 and 22842468.
132
Calculate the greatest common divisor of 845853 and 688.
43
Calculate the highest common divisor of 1113863665 and 230.
115
Calculate the highest common factor of 14931150 and 1710.
570
What is the greatest common divisor of 10697 and 16632709?
563
Calculate the greatest common factor of 40411855 and 135300.
2255
What is the highest common factor of 344618855 and 3580?
895
What is the highest common divisor of 56 and 137464?
8
Calculate the greatest common divisor of 3505 and 6888727.
701
What is the highest common divisor of 2210 and 4765865?
1105
Calculate the greatest common divisor of 21108 and 966312.
12
What is the highest common divisor of 435 and 5555130?
15
Calculate the highest common factor of 521920 and 4130.
70
What is the greatest common divisor of 29080928 and 1424?
1424
What is the greatest common factor of 3350 and 3914810?
670
Calculate the greatest common divisor of 40 and 6697230.
10
Calculate the highest common factor of 19848 and 14792.
8
What is the highest common divisor of 54610 and 51514?
86
Calculate the highest common divisor of 20 and 23289124.
4
Calculate the greatest common divisor of 43989 and 1115628.
93
Calculate the highest common factor of 150371808 and 192.
96
What is the greatest common factor of 94092312 and 240?
24
Calculate the highest common divisor of 807138710 and 14.
14
What is the highest common divisor of 34358085 and 333?
9
Calculate the greatest common divisor of 792 and 112535280.
792
Calculate the highest common divisor of 1466055612 and 3402.
1134
What is the greatest common divisor of 2262834 and 12768?
42
Calculate the greatest common factor of 255589557 and 203.
29
Calculate the greatest common divisor of 29 and 794831855.
29
Calculate the highest common divisor of 1674 and 7495938.
18
What is the highest common divisor of 10 and 1130730?
10
Calculate the greatest common factor of 246 and 6976929.
123
What is the greatest common divisor of 12517692 and 6512?
1628
Calculate the highest common factor of 2664375 and 1545.
15
Calculate the greatest common divisor of 378 and 1610166600.
378
What is the greatest common factor of 8844823 and 247?
247
What is the greatest common divisor of 78700 and 1049858?
1574
Calculate the greatest common divisor of 1078 and 29224118.
154
Calculate the greatest common divisor of 120 and 8760072.
24
Calculate the highest common factor of 36981 and 31633.
7
Calculate the highest common divisor of 440 and 24105125.
55
What is the highest common divisor of 74434466 and 136?
34
What is the highest common divisor of 43550 and 145457?
871
Calculate the greatest common factor of 424 and 15341804.
212
Calculate the highest common factor of 1075863 and 858390.
213
Calculate the greatest common divisor of 37155765 and 3.
3
What is the highest common factor of 1053 and 7340463?
1053
Calculate the greatest common divisor of 33829845 and 735.
735
Calculate the highest common divisor of 127186 and 24434.
38
What is the highest common factor of 63493152 and 27136?
1696
Calculate the greatest common factor of 599721 and 5977.
43
What is the highest common factor of 264269477 and 123?
41
Calculate the highest common factor of 168585 and 120.
15
Calculate the highest common divisor of 19610339 and 3087.
343
What is the highest common divisor of 405 and 4918293?
27
What is the greatest common factor of 1375 and 23102875?
125
What is the greatest common divisor of 1078 and 1405773446?
1078
What is the highest common divisor of 663549 and 80736?
2523
Calculate the greatest common divisor of 11761010 and 70.
10
Calculate the greatest common divisor of 25474614 and 1452.
726
What is the highest common factor of 93969 and 36051?
591
Calculate the highest common factor of 1000 and 19717000.
1000
What is the greatest common factor of 571445760 and 1850?
370
Calculate the greatest common divisor of 40 and 76988.
4
Calculate the greatest common factor of 184442928 and 5904.
1968
What is the highest common factor of 58 and 10030781?
29
Calculate the highest common factor of 464615 and 16.
1
Calculate the greatest common factor of 15358135 and 18239.
299
Calculate the highest common divisor of 8093988 and 1764.
252
Calculate the highest common divisor of 4300175 and 715.
55
Calculate the highest common divisor of 266211 and 137687.
11
What is the highest common divisor of 9280 and 388?
4
What is the highest common factor of 12881 and 16808?
11
Calculate the highest common factor of 6668100 and 1241127.
2151
Calculate the highest common factor of 20680 and 1565560.
40
Calculate the greatest common divisor of 453188 and 821826.
3382
What is the highest common divisor of 29785 and 146076?
259
Calculate the highest common divisor of 405 and 184455.
45
What is the greatest common divisor of 3279 and 985155?
3
What is the greatest common factor of 19097 and 257753?
113
What is the greatest common factor of 1301228 and 4?
4
What is the highest common factor of 8188 and 68183523?
2047
Calculate the greatest common divisor of 53880 and 2910.
30
Calculate the highest common divisor of 147188379 and 156.
39
Calculate the highest common divisor of 59087322 and 5796.
2898
What is the highest common divisor of 90184117 and 235?
47
Calculate the highest common divisor of 3963059294 and 8054.
8054
Calculate the highest common factor of 8472 and 230089989.
1059
What is the greatest common divisor of 54491793 and 13212?
1101
Calculate the greatest common factor of 127959 and 1233077.
193
What is the highest common factor of 1653852 and 466546?
974
What is the highest common factor of 9860 and 152540?
580
What is the highest common divisor of 5211596 and 24180?
1612
What is the greatest common divisor of 13270656 and 1792?
896
What is the greatest common factor of 30764993 and 603?
67
Calculate the highest common factor of 40194894 and 12435.
2487
Calculate the greatest common divisor of 7956312 and 2184.
2184
What is the greatest common factor of 987 and 34065864?
21
Calculate the greatest common factor of 504284918 and 118.
118
What is the highest common divisor of 1834434 and 63?
63
What is the greatest common divisor of 34311654 and 11544?
2886
Calculate the highest common factor of 3384 and 20645032.
376
Calculate the greatest common divisor of 512 and 2831936.
64
What is the greatest common divisor of 719187 and 14973?
483
Calculate the greatest common divisor of 163192 and 1016.
8
What is the highest common factor of 311385825 and 225?
225
Calculate the highest common factor of 21544 and 9756.
4
Calculate the greatest common factor of 77351454 and 102.
6
Calculate the greatest common factor of 286 and 39662194.
286
What is the greatest common divisor of 104 and 301064?
8
What is the highest common factor of 206897401 and 2963?
2963
Calculate the highest common divisor of 495016 and 6536.
344
Calculate the greatest common factor of 264 and 19603656.
24
What is the highest common factor of 103909886 and 40671?
4519
Calculate the highest common divisor of 10975 and 4428193.
439
Calculate the greatest common divisor of 32 and 4671008.
32
Calculate the greatest common factor of 867783 and 47859.
903
What is the greatest common factor of 1866599 and 153643?
3269
What is the highest common factor of 135 and 324081?
27
What is the highest common divisor of 5319 and 34869?
591
What is the highest common divisor of 3863 | {
"pile_set_name": "DM Mathematics"
} |
e?
False
Let v(s) = -9973*s - 4940. Is v(-7) a prime number?
True
Suppose 448*i = 453*i - 140. Suppose -18*g = -i*g + 168650. Is g a composite number?
True
Suppose 14*u - 998 = -q + 10*u, -3*u = 3*q - 2985. Let h be (-1)/(-3) - (-33)/9. Suppose h*r - 8 = 0, -2*r + q + 177 = 3*n. Is n prime?
True
Suppose -110*v = -113*v - 2289. Let o = v + 4748. Is o a prime number?
False
Suppose 0 = 3*l - 33841 + 1516. Suppose -f + 4330 = f - 3*u, -5*u + l = 5*f. Is f composite?
True
Let o = 13998 - -16635. Is o composite?
True
Let b = 163837 + 75324. Is b prime?
False
Suppose r - 18 = -2*m, -m - 9 = -2*m - 3*r. Let t(u) = -39*u**2 - 11*u + 7. Let i(p) = 46*p**2 + 12*p - 7. Let a(l) = -3*i(l) - 4*t(l). Is a(m) composite?
False
Let z(d) = -3122*d**2 - d - 1. Let r be z(-1). Let q = 9934 - 14617. Let g = r - q. Is g a prime number?
False
Let r(f) = -f**3 - 3*f**2 + 70*f - 1. Let x be r(-10). Is (x + 2039)*1334/116 composite?
True
Let c(r) = -1279*r - 2116. Is c(-63) composite?
True
Is 3/(-6*(-15)/11755410) a prime number?
True
Let p(c) = -97347*c - 10471. Is p(-16) a composite number?
True
Let v = -81 - -93. Suppose -v*k + 13203 + 7989 = 0. Let s = k + -975. Is s composite?
True
Let z(j) = -95*j + 1186. Is z(-24) prime?
False
Let d(f) = 388*f - 175 - 103 + 373. Is d(12) composite?
False
Let u(p) be the first derivative of -155*p**2/2 + 11*p - 1. Let l be u(-5). Is (-1 + l - -2)*(2 + -1) composite?
False
Suppose -3*p = -1045 - 1145. Let b = -1317 - p. Is 1*b*1/(-1) a composite number?
True
Suppose -323028 + 69333 = -5*d - 2*w, 0 = 4*d - 3*w - 202933. Is d composite?
True
Is ((-4)/(-5))/((-32)/80)*(-19554)/12 composite?
False
Suppose 5*k - 7*k = 0. Suppose 2*y - z - 26515 = 0, k = -3*y + 5*z - 8100 + 47883. Suppose 14*f - y = 6*f. Is f prime?
True
Let f = 60 - 57. Suppose -3*c + f*a = -a - 2667, 5*a - 1801 = -2*c. Is c a prime number?
False
Let q(h) = 5*h - 46. Let t be q(11). Is (t - (-23368)/16)/(2/4) composite?
False
Suppose 5*q - 4*q - 8 = 0. Suppose -2*g - 15 = 3*c + 1, -2*c = -q. Is g/(-77) + (-1)/(11/(-19325)) a composite number?
True
Let r = 7636274 - 5406031. Is r a prime number?
True
Let f(a) = 691*a - 256. Is f(9) a prime number?
False
Suppose 114 = 5*m + 464. Let h be (10/(-35) + 22/m)*-5. Suppose 2*c - 158 = -h*u + 323, -162 = -u - c. Is u a composite number?
False
Suppose 6 = 66*v - 72*v. Is ((-4430)/4 + v)/(12/(-16)) a composite number?
True
Suppose 4*k + 2*j - 3*j + 7003 = 0, -7015 = 4*k - 5*j. Let d = k - -3012. Is d prime?
False
Let n(y) = 64*y**2 - 13*y - 1. Let z be n(9). Let u be (5 + -5)/(3 + -2). Suppose 5*w = 0, -x - x + 3*w + z = u. Is x composite?
True
Let u = 84954 - -5375. Is u composite?
True
Suppose -2*c = -3*q + 16, -4*q = -3*c - 21 - 1. Suppose -4*v + 23824 = -4*h, 2*h = q*v - 19107 - 4707. Is v a prime number?
False
Suppose 3*v + 5*m - 4*m - 3102536 = 0, -2*m + 1034182 = v. Suppose 6530 = -64*b + v. Is b a prime number?
True
Suppose -17152 = -8*z + 6*z. Let j = z + -2055. Is j a prime number?
True
Suppose 151*j + 150*j = 266*j + 5859665. Is j a prime number?
False
Suppose 4*c - 5 = 5*y, -9*y + 7*y - 9 = -3*c. Suppose -c*d = p - 21241, -5*p + 12767 = 3*d - 10*p. Is d a composite number?
True
Suppose 3*d - 2*u - 3271615 = 0, -36*u = -5*d - 38*u + 5452665. Is d a prime number?
False
Let p = -18 + 37. Let s = p + -26. Is (s/3)/(5/(-105)) a composite number?
True
Suppose g + 0 = 4. Suppose 0 = -n + 2 + g. Is 321/3*(8 - n) a prime number?
False
Suppose -3*a - 4*x - 8 = 2*a, 4*a + 3*x + 6 = 0. Suppose -7*m + 28 + 0 = a. Suppose m*g + 2225 = 9*g. Is g composite?
True
Let m be (-192)/9 - (-2 + (-16)/(-6)). Is (-7)/(m + 8)*26798 a prime number?
True
Suppose 3*z = -4*z - 245. Let w be (52/65)/((-2)/z). Suppose w*v = 11*v + 6693. Is v composite?
True
Suppose -24*a + 54*a = 640290. Is a prime?
False
Let z(l) be the first derivative of -l**4/4 + 4*l**3/3 + l**2/2 - 2*l + 9. Let h be z(3). Let u(k) = 5*k**2 - 2*k + 13. Is u(h) a composite number?
True
Is (4/16)/(12/12595344) a prime number?
False
Let v(f) = -7243*f - 285. Is v(-28) a composite number?
False
Suppose 369*o - 355*o = 728. Suppose 38 = j + 16. Let v = j + o. Is v a prime number?
False
Suppose 59*n = 38*n - 359793. Is ((-2)/6*-2)/((-2)/n) composite?
False
Suppose 0 = -3*i - 9, v - 7 = 5*i + 10. Suppose -v*t + 2*o - 4*o = -18, -12 = -2*t + 4*o. Suppose 5*b = t + 437. Is b a composite number?
False
Let u = -41 + 55. Suppose -21 = -4*z - o + 32, -2*o = -2*z + u. Is (-667)/(-4) + z/(-16) composite?
True
Let w(u) = -u**3 + 11*u**2 + 13*u. Let x be w(12). Suppose x*g - 5*g = 28. Is g/8 - (-3554)/4 composite?
True
Suppose 39*o + 310354 = 88*o - 38*o. Is o prime?
False
Let a(k) = 2*k**3 + 2*k**2 - 6*k + 3. Let j be a(2). Let d be (14 - j)*0/1. Suppose d = -t + 5*t - 2348. Is t composite?
False
Suppose -102391 - 72587 = 5*a - k, 5*a - 2*k = -174981. Is a/25*5/(-3) a prime number?
True
Let p be 1/22*-4 - 665856/99. Let o = p + 9545. Is o a prime number?
True
Let x(p) = -6747*p**2 - 62. Let z be x(-7). Is 8/60 + z/(-75) a composite number?
False
Let s(k) = 63*k**2 + k - 3. Let c be (-2 + 10/3)*(-12)/(-8). Suppose -c*z + 74 = 70. Is s(z) prime?
True
Suppose 11*k + 48131 = -3*k + 4021905. Is k composite?
True
Suppose -65 = -18*o - 11. Suppose j + 55293 = 6*j - 4*p, -4*j + 44222 = o*p. Is j composite?
False
Is ((-4)/3)/(100/(-2112975)) a prime number?
False
Suppose 27*g - 24*g - 70092 = 0. Let d = g - 13847. Is d prime?
False
Suppose -c + 10*c = -51957. Let q = -2114 - c. Is q prime?
True
Let i(m) = m + 13. Let r(q) = 4*q + 5. Let k be r(-3). Let l be i(k). Suppose -2*z = l*s - s - 9007, 0 = 4*s - 4*z - 7200. Is s prime?
True
Let u(b) = 59996*b - 327. Is u(4) prime?
False
Let x = 14083 + 49868. Is x a prime number?
False
Let l = -16 - -20. Let n be (-72)/l*(-175)/(-10). Let i = -174 - n. Is i a composite number?
True
Suppose 28*n - 209 + 237 = 0. Let v(t) = -t**2 - 4*t - 3. Let l be v(-3). Is (l - (-3 + n)) + (-1755)/(-3) a composite number?
True
Let f be 46 + -2 - (-2 - -3). Let v = f - 45. Is -2*v*327/6 prime?
False
Let c(d) = -d**3 + d**2 + 3*d + 1. Let o be c(-2). Suppose 1765 = -o*q + 17186. Is q a composite number?
False
Let x = -9892 - -21951. Let s = x + -6346. Is s a composite number?
True
Suppose 23 + 17 = 20*a. Suppose a*x + 27359 = 5*k, 5467 = -0*k + k + 2*x. Is k prime?
True
Let t be 36/8 + 2/4. Suppose -5*l - 13 = 267*p - 263*p, -17 = p + 4*l. Suppose -k + 1491 = -4*z, p*k + t*z = 5*k - 2976. Is k composite?
False
Let y(i) = 279*i**2 - 195*i + 1003. Is y(5) a composite number?
True
Suppose -3*t + 5*r = -2*t - 25, 0 = t + 2*r + 10. Suppose t = -8*k + 238 + 81882. Suppose -2*l = 3*l - k. Is l a prime number?
True
Suppose -39*v + 162*v + 356330 = 2073779. Is v a composite number?
False
Let h(l) = -2611*l + 22. Is h(-1) a prime number?
True
Suppose -s + 2*g = 7, -2*s + g - 2 = -s. Suppose 5*t - s*b - 590 = 195, 460 = 3*t - 4*b. Suppose o = t - 3. Is o a prime number?
True
Let f = -243 + 237. Let x(p) = -42*p**3 + 6*p**2 + 35*p + 13. Is x(f) prime?
True
Let g be ((-22745)/20 + 5)*-8. Suppose g = -118*y + 120*y. Is y composite?
True
Let u(w) = 2*w**3 + 115*w**2 + 249*w + 16. Is u(-54) a prime number?
False
Let a be 3 + 1 - (12 - 179). Let h be (12/3)/(1/2). Suppose v + h = a. Is v prime?
True
Let h(q) = 3*q**3 - 6*q**2 - 4*q - 17. Let u be h(3). Let w(b) = -4 + 70*b - 7 - 396*b. Is w(u) a composite number?
False
Let a = 6697 - -624. Let b = 468 + a. Is b a prime number?
True
Let g be (-10 - -681)*(4 - 3). Let v = g + -325. Is v a prime number?
False
Let m = 322498 - 153635. Is m composite?
False
Let s(k) = -8*k**2 + 4*k**3 - 7*k**2 - 3 - 10*k**2 + 23*k**2 - 4*k. Suppose 169*c - 4 = 168*c. Is s(c) composite?
True
Let y = -96013 - -167754. Is y a composite number?
False
Let n = 204 + -296. Let l = -87 - n. Suppose -4*m = 3*j - 597 - 44, m - l*j = 143. Is m a composite number?
True
Let r = 11430 + 39409. Is r a composite number?
False
Suppose -4*r = 39*n - 34*n - 110176, -5*r = 4*n - 137711. Is r prime?
True
Let r = -2534 + 12669. Is r prime?
False
Suppose 5*d + a = 2 - 7, -d - 5*a - 25 = 0. Suppose -4*l + 16 = d, -7*g = -3*g + 4*l - 24. Is 1/((-2272)/(-11260) + g/(-10)) a composite number?
False
Suppose 5*k - 2*m = 19, 2*m + 0*m - 21 = -3*k. Suppose 8*w = 4*d + 4*w - 7760, 9670 = k*d + 5 | {
"pile_set_name": "DM Mathematics"
} |
10. Let k be f(-5). Suppose k*u + 129 = 4*s, s - 21 = 2*u - 3*u. Calculate the highest common factor of s and 39.
13
Suppose -l - 3*l = 12. Let i be l/6*2*-15. Suppose 2*s + 4*o - 10 = 0, s + 2*s - 4*o - 5 = 0. Calculate the highest common divisor of i and s.
3
Suppose -v = -3, 3*d - 2 + 5 = -2*v. Let r be (0 + d)/((-2)/24). Calculate the greatest common divisor of 24 and r.
12
Suppose -10*o + 728 - 78 = 0. Let m be 104/10 - (-39)/o. Calculate the highest common divisor of m and 77.
11
Suppose -2*w - 4*x + 46 = 0, -2*x + 0*x + 44 = 2*w. Let j = w + -20. Let l be (-42)/(12/(-4)) - j. Calculate the greatest common factor of 13 and l.
13
Let k(v) = 2*v - 11. Let a be k(7). Suppose -4*u + 120 - 46 = -5*n, 80 = 4*u - 2*n. What is the greatest common divisor of u and a?
3
Let i(w) = 13*w**2 - 6*w + 3. Let x be i(-10). Let b be x/13 + (-8)/(-52). Calculate the greatest common divisor of b and 15.
15
Let y be (-48)/4*3/(-9). Let t(u) = -u - 2. Let x be t(-4). Suppose -y*m - 4*h + 60 = 0, m - 2*m = x*h - 18. What is the greatest common divisor of m and 18?
6
Suppose 5*s + 16 = 31. Suppose -6 = -f - s*j, -3*j + 9 = -f + 45. Calculate the greatest common factor of 84 and f.
21
Let g(u) = -u**2 - 76*u - 97. Let m be g(-28). Calculate the highest common factor of 29 and m.
29
Suppose -18 = -y + x, -3*y + 3*x = 2*y - 84. Let o = -2 + 4. Suppose 1 = 4*n - 5*b + o, 2*n + b = 17. What is the greatest common divisor of y and n?
3
Let h(c) = -2*c - 4 + 0*c - 3*c - 2. Let g(x) = -10*x - 11. Let j(v) = 3*g(v) - 5*h(v). Let k be j(-5). What is the highest common divisor of 198 and k?
22
Suppose 130 = 5*k - 4*k + 5*u, -5*u + 340 = 3*k. What is the greatest common factor of k and 245?
35
Let x = 6217 + -6189. Let p(s) = -s**2 - 7*s - 3. Let g be p(-5). Calculate the highest common divisor of x and g.
7
Let o(u) = -7*u**3 - 2*u**2 - 2*u - 1. Let a be o(-1). Suppose 0 = -3*x + a + 3. Calculate the highest common factor of 3 and x.
3
Suppose 2*q - 332 = 618. What is the greatest common divisor of q and 25?
25
Let r = -200 - -470. What is the greatest common divisor of 108 and r?
54
Let k(s) = -s**3 - 8*s**2 - 7*s + 2. Let m be k(-7). Let x be (m*(10 - 4))/(4 + -3). What is the greatest common divisor of x and 3?
3
Let p = -22 + 34. Let w(z) = 3*z**2 - 4*z - 1. Let t be w(-2). Let c = 23 - t. What is the greatest common factor of c and p?
4
Let l(j) = -2*j. Let x be l(-6). Suppose -18*u + 15*u = -1128. Suppose u = 9*d + 106. What is the highest common divisor of x and d?
6
Suppose 22*m + 900 = 32*m. Calculate the greatest common divisor of m and 1035.
45
Suppose 0 = q + 16 - 126. Suppose -44 - 66 = -5*h. What is the greatest common divisor of q and h?
22
Let f = -251 + 262. Calculate the highest common factor of f and 154.
11
Let m = 599 - 845. Let s be ((14 - 1) + 2)*m/(-205). Suppose -3*y = b - 50 - 76, -y = 0. Calculate the highest common divisor of s and b.
18
Let u(o) = -o**3 + 19*o**2 - 4*o - 35. Let c be u(17). Calculate the highest common divisor of c and 50.
25
Suppose -5*q = 3*q. Suppose -5 = -2*u - 3*t, -5*u + q*t = -4*t - 47. Suppose 4*z = u*z - 99. Calculate the greatest common factor of 11 and z.
11
Suppose -3*p + p = 2*k - 2, 5*p = -3*k + 15. Let y be (-4)/p + ((-176)/(-6))/2. What is the greatest common factor of y and 154?
14
Suppose 0*s = 3*s - 4*t - 9, -t - 5 = 2*s. Let l be (3 - (4 - s))*-12. What is the greatest common factor of l and 192?
24
Let u(t) = -8*t**2 - 10 - t**3 + 9*t**2 + 2 + 3*t**2. Let f be u(-4). What is the greatest common divisor of f and 15?
15
Suppose -66*a + 5 = -71*a. Let w be (-2)/(-8)*a - (-2883)/124. Calculate the greatest common factor of w and 92.
23
Let j = -5 - -4. Let t = -7 - j. Let m be (t - -7) + 10/2. Calculate the highest common factor of m and 6.
6
Let o = 525 + -457. Calculate the highest common factor of 34 and o.
34
Let i(n) = -n**3 + 13*n**2 - 17*n + 40. Let w be i(11). Suppose -2*h = v - 34, -2*h - v = 3*v - 22. Calculate the highest common factor of h and w.
19
Let j = -6 - -11. Suppose f = -l + j*f + 54, -3*l + 5*f = -155. Let h = 19 + -9. What is the highest common factor of l and h?
10
Let a be 120*((-6)/2 - -5). Suppose 6*o - a = 2*o. What is the greatest common divisor of 15 and o?
15
Let u(b) = -18*b - 12. Let w be u(-2). Calculate the highest common factor of w and 3.
3
Let t = -602 - -622. Calculate the highest common divisor of t and 70.
10
Let u(p) = 2*p**3 - p**3 - 14*p + 12*p - 1. Let f be u(2). What is the highest common divisor of f and 1?
1
Let v = 23 + -26. Let i = 17 + v. Let y(z) = -z**3 - 11*z**2 - 13*z - 2. Let r be y(-10). Calculate the highest common divisor of i and r.
14
Suppose 3*j = 5*j + 8. Let y be (-2 - 21/(-2))/((-2)/j). Calculate the highest common divisor of y and 17.
17
Suppose a = -3*a - 3*k + 11, -2*a + 4*k = -22. Suppose a*j + t + 0*t = 36, 0 = -5*t + 5. Calculate the highest common factor of 21 and j.
7
Let i(v) = 2*v**3 - 2*v**2 - 6 - 3*v**3 - v**3 - 6*v. Let a be i(-3). What is the greatest common factor of 12 and a?
12
Let o(k) = -3*k - 5. Let l be o(6). Let n = l + 27. Suppose y = 0, -a - n*a = -4*y - 195. Calculate the highest common factor of a and 13.
13
Suppose -5*y + 2831 = 451. Calculate the highest common divisor of 833 and y.
119
Suppose -2*y + 22 + 48 = 0. Suppose 4*f - 4*p = 52, -f + 18 - 3 = p. Calculate the greatest common factor of f and y.
7
Let p be (-120)/(-54)*-3*3/(-2). What is the greatest common factor of 320 and p?
10
Suppose 3*d + 279 = 2871. Suppose 13*x = 7*x + d. Calculate the greatest common divisor of x and 18.
18
Suppose -2*s = n - 82 - 114, -4*n - 516 = -5*s. Let z = 45 + -20. What is the greatest common divisor of s and z?
25
Suppose -4*z + 135 = s - 2*s, 0 = -3*z + 3*s + 90. Suppose 0 = 5*u - z - 15. What is the highest common divisor of u and 40?
10
Suppose -2*m + 4*a + 7 = -11, -21 = -m + 5*a. Let j be (2/(-3))/m - 10505/(-165). What is the greatest common factor of j and 9?
9
Suppose 0 = 2*h - 391 + 231. What is the highest common divisor of h and 620?
20
Suppose -2*v + 6 = -v. Let a(y) = 2*y**3 + 21*y**2 + y + 146. Let s be a(-11). Calculate the greatest common factor of v and s.
2
Let n = 38 - 23. Let v be (320/28)/((-8)/(-56))*(-3)/(-2). Calculate the highest common factor of v and n.
15
Let f = 13 + -12. Let z = 4 - f. Suppose 228 = z*n - 168. Calculate the highest common divisor of 12 and n.
12
Let v(p) = -p**2 + 7. Let m be v(-3). Let o be m*(-4 - 7/2). Calculate the greatest common factor of o and 5.
5
Suppose 3*w + 0*w - 15 = 0. Let q be 3/(-2)*(12/6)/(-1). Suppose -w*l = o - 31, 2*l + q*l = 5*o - 95. Calculate the highest common factor of o and 21.
21
Suppose 0 = 4*a + 24. Let q be (a + (-7)/(-2))*(-44 - 0). What is the highest common divisor of 22 and q?
22
Suppose -6*w = -11*w + 10. Let y(q) = -11 - q**w + 15*q + 1 - 4*q. Let r be y(9). Calculate the greatest common factor of 16 and r.
8
Suppose -3*g - 21 = -3*z, 2*z + 10*g - 18 = 11*g. Calculate the greatest common factor of 99 and z.
11
Let x(d) = -d**3 + 3*d**2 + 2*d - 2. Let v be x(3). Suppose v*w = -w + 115. What is the greatest common factor of 253 and w?
23
Suppose 2 = 10*f + 22. Let r be -3 + f - 42/(-2). Calculate the greatest common factor of 144 and r.
16
Let r be ((-4)/6)/(9/(-81)). Let v be 2*((-705)/r)/(-5). Suppose -10 = -3*c + v. Calculate the highest common divisor of 209 and c.
19
Suppose -15*b = -56 - 19. Let j be 1/5 - (-3816)/45. Calculate the greatest common factor of b and j.
5
Let a be 150/20 + (-4)/(-8). What is the highest common factor of a and 2?
2
Let s(y) = 53*y - 99. Let h be s(3). What is the greatest common divisor of h and 240?
60
Let v be (-6)/(4/2 + -4). Suppose -y - v*y + 12 = 0. Calculate the greatest common divisor of 12 and y.
3
Let x = 223 - 218. Calculate the greatest common divisor of x and 85.
5
Suppose 136 = 3*x + 43. Let h = -25 + x. Let g be 46 - 4/(2/(-1)). Calculate the greatest common divisor of h and g.
6
Let n be 54 + -55 + (1 - -13). Let i(m) = -2 - 1 - 27*m + 2. Let u be i(-1). What is the highest common factor of n and u?
13
Suppose 3*l + 5*s = 2047, -5*l + 5*s = 3*s - 3422. What is the highest common divisor of l and 108?
36
Suppose -a = 5*x - 6876, -2*a = 20*x - 23*x + 4136. What is the greatest common divisor of | {
"pile_set_name": "DM Mathematics"
} |
4).
-87
Let x(l) be the first derivative of l**3/3 - 3*l**2/2 + 4*l - 2265. Suppose 2*d = 7*d - 15. Calculate x(d).
4
Let p(x) be the second derivative of 1/20*x**5 + 10 - x**2 + x - 1/3*x**3 + 1/6*x**4. Determine p(-2).
2
Let i(t) = t**3 - 8*t**2 + 16*t - 27. Let p be i(6). Let a be 18 - 3 - (-2 - p). Let r(d) = a - 47 + 13 + 16 - d. Give r(-3).
-1
Let d(b) = 52*b**2 + 8*b - 7. Let f be d(6). Let l be 3/(-8)*78/117 - 17/(-4). Let q(k) = 3*k + l - k + f*k**2 - k**3 - 1910*k**2. What is q(4)?
-4
Let c(m) be the second derivative of -m**5/20 - m**2/2 - 1757*m. Give c(0).
-1
Let c(q) = -q**3 + 3*q**2 + 3*q - 7. Let k(y) = -4*y**2 + 81*y - 217. Let j be k(17). Give c(j).
-11
Suppose 3*f - 5*f = 4*l + 14, -5*f = 2*l + 11. Let p be 8 - (-1)/(-1)*(3 + f). Let c(v) = 4 + 5*v + 3*v - v**2 - 2*v. Give c(p).
4
Let v(x) = 2*x - 7. Let l(p) be the third derivative of -p**4/12 + p**3 + 10*p**2 - 2*p. Let j(m) = -3*l(m) - 2*v(m). Give j(0).
-4
Let j(a) = 9*a + 2*a - 13*a. Let n(d) be the third derivative of d**5/60 - 3*d**4/8 + 7*d**3/6 - 6*d**2. Let l be n(8). Calculate j(l).
2
Let k = -2952 + 2949. Let m(x) = 12*x + 21. What is m(k)?
-15
Let c(p) be the first derivative of -4*p - 27 - 1/3*p**3 - 2*p**2. Determine c(-6).
-16
Let f(z) = z**2 - 2*z - 11. Let l be -1*(-5 + 49)/(-11). What is f(l)?
-3
Let c(a) = 17*a + 9. Let f(y) = 2*y + 4. Let l(r) = 2*c(r) - 14*f(r). Give l(6).
-2
Let w(l) = 78*l**2 - 158*l + 4. Let i be w(2). Let k(a) = 2*a - 14. Let j(r) = 2*r - 13. Let g(c) = -3*j(c) + 2*k(c). What is g(i)?
11
Let f(y) = 18*y**2 - 30*y - 48. Let j(z) = z**2 - z - 3. Let h(o) = -3*f(o) + 45*j(o). Let s be h(5). Let a(n) = -n + 7. What is a(s)?
-2
Let q(u) = -34*u**2 + u + 1. Suppose 62 + 42 = -103*i + 1. Calculate q(i).
-34
Let s(d) = -d**3 - 5*d**2 - 2*d + 5. Let z(y) = y**3 + 2*y**2 - 6*y + 7. Let q be z(2). Suppose 8*c + q + 21 = 0. What is s(c)?
-3
Let b(t) = 2*t**2 + 9*t - 1. Let k(g) = -2*g**2 - 9*g. Let y(o) = -10*b(o) - 8*k(o). Determine y(-7).
-60
Let z(a) = 4*a - 6307*a**2 - 4*a + 6305*a**2 + a**3. Let x = -192 + 194. Give z(x).
0
Let c(u) = 54 + 127 + 139 - 30*u - 50 + 9*u. Give c(13).
-3
Suppose -9*w - 76*w - 693 = -8*w. Let t(j) = -j**2 - 4*j + 4. Calculate t(w).
-41
Let r be ((-132)/(-2))/((-1)/(-5)). Let z = r + -339. Let d(x) = -x**3 - 10*x**2 - 9*x - 8. Give d(z).
-8
Let l(a) = -a + 3. Let q(m) = -2*m + 23. Let d(s) = 6*l(s) - q(s). Suppose -3*u + r = -2, -2*u + 4 = 2*u - 2*r. Let v be -3 - ((u - -6) + -4). Give d(v).
15
Let y(q) = -18*q**2 - 10*q + 24. Let m(r) = 5*r**2 + 4*r - 7. Let b(g) = -7*m(g) - 2*y(g). Let v = 13 - 5. Give b(v).
1
Let k(g) = 28*g + 273. Let v(n) = 3*n + 17. Let q(o) = -k(o) + 6*v(o). What is q(-18)?
9
Let c(i) = -16*i - 38. Let h be c(-4). Let u = 31 - h. Suppose -2*n - 2*v = -n + 3, u*v = 3*n + 9. Let p(a) = a**3 - 2*a + 4. What is p(n)?
-17
Let g(i) = i**2 + 6*i - 4. Let w(s) = 5*s**2 + 53*s - 7. Let h(b) = 6*g(b) - w(b). Let c be ((-10)/(-4) - -2)*4. Let z be h(c). Let v(d) = 2*d. Determine v(z).
2
Let u(r) = -r**3 - 6*r**2 - 7*r. Suppose -w - 2 = -3*z, -17 + 6 = 2*w + z. Give u(w).
10
Let w(y) = -41*y**2 - 123*y - 3. Let d be w(-3). Let s(z) = z**3 + 4*z**2 + 3*z - 4. Calculate s(d).
-4
Let a(k) = -23*k**2 + 8*k - 7. Let j = 21555 + -21554. Determine a(j).
-22
Let c(z) = -6*z**2 - 17. Let b(s) = s**2 + 8. Let t(w) = 5*b(w) + 2*c(w). Give t(3).
-57
Let a(d) be the third derivative of 1/6*d**4 + 10*d**2 + 0 - 2/3*d**3 + 0*d. Let v be 39/15 + 6*(-2)/(-30). Determine a(v).
8
Suppose 0 = 26*b - 12 - 40. Let k(l) = -2 + 157*l - 62*l - l**b - 92*l. Suppose -5*f = -o + 6*o - 55, -5*f + 19 = -o. Give k(o).
-20
Let f(q) be the third derivative of -q**5/60 + q**4/24 - 5*q**3/2 + q**2 + 13*q. Let a be (-115)/(-25) + -4 - (-9)/(-15). What is f(a)?
-15
Let n(u) be the first derivative of -u**3/3 - 3*u**2/2 - 6*u + 61541. Let q = -3 + 8. Give n(q).
-46
Let f(h) = -h**2 - h + 1. Let n(m) = 5*m**2 + 19*m + 1. Let s(z) = 6*f(z) + n(z). Suppose 4*j + 2*k = 2*j + 20, 4*j + 5*k - 36 = 0. Give s(j).
-7
Let d(q) = 9*q**2 + 21*q + 11. Let x(i) = i**2 + 2*i. Let m(a) = -d(a) + 6*x(a). Let b(r) = -2*r**2 - 8*r - 11. Let n(u) = -4*b(u) + 3*m(u). Give n(8).
-13
Let z be ((-8)/10)/(3 - 124/40). Let b(m) = -1 - 3*m**2 + z*m + 4*m**2 - 5 + 0. Determine b(-8).
-6
Let g be -3 - (2 - 1184/2). Suppose 18 = 4*v - 5*p, -5*p - 2 - 18 = -5*v. Let w(a) = -a - g + v*a + 583. What is w(6)?
2
Let s be 17/4 + (-6)/24. Suppose s*f = 2*f. Let x(l) = -9*l + 14 + 7 + 2*l + 2*l + 4*l. What is x(f)?
21
Let s(t) be the third derivative of 5/24*t**4 - 2*t**2 + 0*t + 2/3*t**3 + 0. Let x be (-4800)/1125 + (-84)/(-315). Calculate s(x).
-16
Let x(o) = o**3 + 7*o**2 + 6*o + 13. Let h be x(-6). Suppose c - 6 = -3*q, -5*q - 3*c - 3 = -h. Let k(s) = 3 - 5*s**q + 2*s + 4*s**2 - 6 + 5. Give k(3).
-1
Let w(h) = -h**3 - 11*h**2 - 12*h - 1. Let k(a) = a**3 + 12*a**2 + 14*a + 3. Let d = -611 - -615. Let m(p) = d*w(p) + 3*k(p). Calculate m(-7).
-2
Suppose 4*n - 11 = 98*c - 97*c, 4*n - 4*c = 20. Let x(l) be the first derivative of -2*l**n + 3*l - 12 + 0*l**3 + 3/4*l**4. Give x(2).
19
Let q(n) be the second derivative of -n**5/20 - 11*n**4/12 - n**3/3 - 17*n**2/2 + 1102*n. What is q(-11)?
5
Suppose 0 = -3*l + 8 - 8, 3*l = 2*o - 18. Let c(z) = -z**3 + 9*z**2 + 11. Give c(o).
11
Let j(l) = l**3 - l**2 - 2. Let m(w) = -31*w + 33. Let f(v) = -v**3 + 2*v**2 + 6*v + 1. Let d be f(0). Let i be m(d). Give j(i).
2
Let s(y) = -y**2 - y. Let o be 1 + 2*3/(-12)*-2. Suppose -6*j - o = -5*j. Let h(u) = 3*u**2 - 4*u + 3. Let g(q) = j*s(q) - h(q). Give g(5).
2
Let y(p) = -p**2 + 10*p - 5. Suppose 0 = 2*u + 3*f + 7, 3*u + 4*f - 1354 = -1360. Give y(u).
-5
Suppose 3*a + y - 9 = 0, 2*a - 12 = -2*a - 2*y. Let f(p) = -a*p + 2 + 7*p + 5 - 14 - 3. Calculate f(-7).
-38
Let r(n) be the first derivative of n**6/360 + 7*n**5/120 - n**4/8 + n**3/3 - 153. Let u(v) be the third derivative of r(v). Calculate u(-6).
-9
Let n(h) be the second derivative of -h**4/12 + 5*h**3/6 - 7*h**2/2 - 672*h. What is n(6)?
-13
Suppose -6*u + u = 10. Let x(l) = 18*l**2 - 4*l**2 - 5*l**2 + 2*l**3 - 2*l + l**3 - 2 - 10*l**2. Determine x(u).
-26
Let g(l) = l**2 + 4*l + 10. Let i(q) = 2*q**2 + 4*q - 206. Let j be i(-11). Determine g(j).
42
Let l(o) = o + 2. Let w be 474/1027 + -1*2127/(-39). Let k = 131 + -192. Let y = k + w. What is l(y)?
-4
Suppose -4 = -2*n + 2*o, 26 + 0 = 5*n + 3*o. Let l(h) = -h + n - 9 - h + h. Suppose 2*g - 5*g - 9 = 0. Determine l(g).
-2
Let n(k) = k**3 + 48*k**2 + 45*k - 80. Let r be n(-47). Let t(p) = 7*p - 53. What is t(r)?
45
Let f(s) = 3*s - 94. Let m(y) = 2*y - 59. Let u(p) = -5*f(p) + 8*m(p). Let l = 7 - -1. Give u(l).
6
Let g = 34 + -30. Suppose -g*k + 7*k = -5*f - 5, -12 = 4*f + 4*k. Suppose f*b - 19 = 5*a - 2, b + 9 = -a. Let w(r) = -r**3 - 4*r**2 + 7*r + 4. Determine w(a).
-6
Let j(q) = 2*q + 3323 - 3315 - 4*q. Suppose 3*b - 35 = -8. Give j(b).
-10
Suppose -2*g + 3*t = -g + 14, 0 = -5*g + t. Let y(o) = 1 + 0 - o + 0*o + g - o**3. Let d = 187 - 185. What is y(d)?
-8
Suppose 0 = 2*k + k + 2*j + 17, 5*j + 20 = -5*k. Let u(d) be the third derivative of d**6/120 + d**5/6 + 7*d**4/24 + 7*d**3/6 + 4*d**2 + 5. Determine u(k).
25
Let d = -639 - -638. Let m(j) be the third derivative of 0 + 0*j + 7/120*j**6 + 1/30*j**5 - 1/6*j**3 + 5*j**2 + 0*j**4. Give m(d).
-6
Let h(t) = t**3 + 5*t**2 + 4*t + 4. Suppose 2*p - 180 = -3*p. Suppose p = 7*y - 16*y. Determine h(y).
4
Let k(y) = 2*y + 4*y + 6 - 4*y. Suppose -4*f = 2*t + 7962 - 7970, 0 = -4*f - 5*t + 2. Calculate k(f).
12
Let w be -3 + (0 - -1) - 2. Let t(a) = -5*a**3 - 14*a**2 - 6*a + 20. Let q(p) = -14*p**3 - 40*p**2 - 17*p + 56. Let s(y) = -4*q(y) + 11*t(y). Give s(w).
20
Suppose -2*l + 18*l - 192 = -16*l. Let m(g) be the third derivative of -1/30*g**5 + 0*g - 1/4*g**4 - l*g**2 + 0 + 0*g**3. Give m(-4).
-8
Let o(p) = 44*p - 2. Suppose -4*h + 24 = -3*c, -2*h + 3 = 3*c - 9. What is o(c)?
-2
Let q(z) = z**2 - 2*z + 4. Suppose -44*x + 327 = -56*x - 97*x. Give q(x).
19
Let z(k) be the second derivative of -k**5/20 + 2*k**2 - 2486*k. Calculate z(0).
4
Let i(u) = u**2 + 1. Let v(z) = 2*z**2 + z + 3. Let b(y) = -7*i(y) + 3*v(y). Suppose 11 - 2 = -3*s, -4*t + 115 = -s. Let p = 33 - t. Determine b(p).
-8
Let i be ((-6)/5)/((-3)/120). Let b(c) = 53*c**3 - 13*c** | {
"pile_set_name": "DM Mathematics"
} |
47794. Let y = b + x. What is y rounded to 7 decimal places?
0.0000021
Let x = 14880275.400087 + -14880259. Let a = -16.4 + x. Round a to five decimal places.
0.00009
Let t(g) = -9*g + 29. Let w(k) = -10*k + 30. Let l(y) = y**2 + 7*y - 1. Let r be l(-8). Let q(i) = r*t(i) - 6*w(i). Let x be q(13). Round x to the nearest ten.
-20
Let a = 459.637 + -0.637. Let w = -459.000129 + a. What is w rounded to four decimal places?
-0.0001
Let u = -0.19957 + 0.37939. Round u to two dps.
0.18
Let f = 297.409 - 247.4024. Let q = -49.85 - 0.15. Let a = f + q. Round a to 3 decimal places.
0.007
Let y = 39152 + -39151.99979879. What is y rounded to six dps?
0.000201
Let t be 291970 + ((-1)/(-5)*0)/(6/6). What is t rounded to the nearest one thousand?
292000
Let n = -5.6 - -3.84. Let m = -8.44 + n. What is m rounded to zero decimal places?
-10
Let c be (-73)/(1 - (-240)/(-244)). Let y be -5 + ((-6 - -3) + 8)*c. Round y to the nearest one thousand.
-22000
Let p = -89.997647 - -90. Round p to 4 decimal places.
0.0024
Let p = -0.58 - 43.42. Let r = 1276976.8 - 1277020.799986. Let b = r - p. Round b to 5 decimal places.
0.00001
Let a = 15006359 - -5549641. What is a rounded to the nearest one hundred thousand?
20600000
Let b = 7467212.5330760081 + 4255280459.4669142919. Let c = b + -4262747852. Let j = -180 - c. Round j to 6 decimal places.
0.00001
Suppose -201319 = -f + l, 3*l - 1 = -7. Suppose 319 = 8*o + 303. Suppose r = 4*p - 195996, 3*p - o*r = -54325 + f. Round p to the nearest 10000.
50000
Suppose 5*c + 22 = -4*j, -25 = 5*j + 3*c + 9. Suppose 36*b - 42*b = -12. Let g be 6632/32 + b/j. Round g to the nearest 10.
210
Suppose -10*p = -12*p. Let n = p - 14. Let c be 108/378 - ((-104999990)/n - -1). Round c to the nearest 1000000.
-8000000
Let x be -80*(((-408522)/(-8))/(-3) - (-2 + 4)). What is x rounded to the nearest one hundred thousand?
1400000
Let q = -1201680.58009 - -1201121.41. Let y = q - -559.2. Round y to two dps.
0.03
Let t(l) = -517272*l + 8. Suppose 0 = -5*u + 3*r - 13, 3*u - 5*r + 1 = -10. Let d be (-6)/(u + 14)*22. Let i be t(d). Round i to the nearest one million.
6000000
Let q = -12031.51 + 11664. Let j = q + 364. What is j rounded to one decimal place?
-3.5
Suppose 20*l - 44*l - 100281600 = 0. What is l rounded to the nearest one hundred thousand?
-4200000
Let s(n) = -295*n - 1. Let r be s(5). Let b = r - 1894. Round b to the nearest one hundred.
-3400
Suppose 289*y - 38*y = -1935712000. Round y to the nearest one million.
-8000000
Let r = -209.82436 + 209.9. What is r rounded to 3 decimal places?
0.076
Let x = 2011.7 - 2011.34758. Let d = -0.349 + x. What is d rounded to four decimal places?
0.0034
Let n = 12887 - 12876.363. Round n to one decimal place.
10.6
Suppose -z + 32 = -5*z. Let a be (6/z)/((-3)/(-14))*1780. Round a to the nearest 1000.
-6000
Suppose 0 = -3*b + v - 8765, 0 = 3*b + 2*b + 3*v + 14613. Let z = 4425 + b. What is z rounded to the nearest 100?
1500
Suppose 5542 = 2*n + 2*m, -5*n - 2*m = -4*n - 2774. Let t = 5388 - n. Suppose -2*b + t = -380. Round b to the nearest one thousand.
2000
Let c = 58697481.999979 + -58697337. Let y = 145 - c. What is y rounded to six decimal places?
0.000021
Let l = 1408 - 977. Let m = -430.9459 + l. Round m to 3 decimal places.
0.054
Let u = -7263 - -11814. Suppose -317751 = -9*x - u. What is x rounded to the nearest 1000?
35000
Let l = 1.55 - 77.05. Let t = l + 83. Let g = -8.52 + t. What is g rounded to 1 dp?
-1
Let s be ((-9)/6 + 1)*-6. Suppose 0 = -s*g + 57153 + 81447. What is g rounded to the nearest 10000?
50000
Let d = -37 + 27.9. Let g = d + 5.42. What is g rounded to 1 decimal place?
-3.7
Let h = -287 + -210. Let g = h + 497.753. Round g to 1 dp.
0.8
Let t = -7776 + 7769.8916. Round t to the nearest integer.
-6
Let g(a) be the third derivative of -623*a**5/12 + 7*a**4/8 - 7*a**3 - 16*a**2. Let d be g(2). Round d to the nearest one thousand.
-12000
Let p = 2041 - -437. Suppose 2*x = -4*l + 4588, -3*l + x = -881 - 2565. Let c = p - l. What is c rounded to the nearest 100?
1300
Let g(a) = 1799*a**3 - 26*a**2 - a + 58. Let m be g(6). Round m to the nearest ten thousand.
390000
Let q = 29571 - 29570.9931992. What is q rounded to five dps?
0.0068
Let v = -1065 + 1683. Let o = v + -611.82. What is o rounded to zero decimal places?
6
Let s(n) = -2*n**2 - 11*n - 19. Let h be s(-7). Let w be 12/5*h/(-16). Let z be (-32)/w*(-13125)/(-10). Round z to the nearest 1000.
-7000
Let f = -130 + 130. Suppose f = -22*w + 1238 - 14438. What is w rounded to the nearest 1000?
-1000
Suppose 0 = 71*h + 18*h + 29503500. What is h rounded to the nearest ten thousand?
-330000
Let p = -95221661141.60005267 - -95221661772. Let u = p - 630.4. Round u to 6 decimal places.
-0.000053
Suppose -507*f + 643282 = -470*f. What is f rounded to the nearest one hundred?
17400
Let y = -27435.55 + 26701. Round y to the nearest one hundred.
-700
Let k = -75.314 + 11.944. Let j = -63 - k. Let i = 0.36988 - j. What is i rounded to 5 dps?
-0.00012
Let l = -753.9143 + 754. Let n = l + 0.0712. What is n rounded to 3 decimal places?
0.157
Let k = 437.4001915 - 437.4. What is k rounded to 6 dps?
0.000192
Let q = 2143 + -2143.1791. Let j = 0.179101103 + q. What is j rounded to seven dps?
0.0000011
Let w = 174.9914 - 0.0914. Let a = w - 177.022. What is a rounded to 1 dp?
-2.1
Let h = 7112.02511 - 7112. What is h rounded to 2 dps?
0.03
Let a = -2.82 - -0.42. Let t = 2.23 + a. Let u = t - -0.64. What is u rounded to one decimal place?
0.5
Let t = 1254229 + -1255795.799. Let c = -1566 - t. Round c to two decimal places.
0.8
Let z = -152.48025624 + 152.48. What is z rounded to six decimal places?
-0.000256
Let b = -2612.1155 - -2611. What is b rounded to 1 dp?
-1.1
Let c(a) = -1366*a**2 + 53*a - 175. Suppose -3*u + 3*k + 96 = 0, 3*u = -5*k - 0*k + 104. Let t be c(u). What is t rounded to the nearest 100000?
-1500000
Let m = 33924 + -33923.999934396. What is m rounded to seven dps?
0.0000656
Let h = 299 + -301. Let z = h - -1.99989. Round z to 5 decimal places.
-0.00011
Let w = -1652 - -1652.7698. Round w to one decimal place.
0.8
Let f = 25708.9 + -28319. Round f to the nearest 1000.
-3000
Let j(s) = 32*s**2 + 3*s - 7. Let w be j(-5). Suppose 5*k + 97342 = -3*d + 270464, 5*k - 173126 = -4*d. Suppose -2*q + k + w = 0. Round q to the nearest 1000.
18000
Let y = 0.92633527 + 289.07342973. Let z = -290 + y. What is z rounded to four decimal places?
-0.0002
Let l = -4.01907 + 3.7735. Round l to three decimal places.
-0.246
Let b = -2.6179 + 2.2117. Round b to one dp.
-0.4
Let g = -116360.334 + 116245. What is g rounded to the nearest 10?
-120
Let v = 15.381 - 15.38125156. What is v rounded to 5 dps?
-0.00025
Let t = -3321 + 3320.99995105. Round t to 5 dps.
-0.00005
Let l = -0.37 + -2.83. Let m = l + 2.19. Let b = 1 + m. Round b to two decimal places.
-0.01
Let t = 5180973605 + -5629069645.4. Let m = 448095983.40000186 + t. Let i = 57 + m. What is i rounded to 7 dps?
0.0000019
Suppose 45 = 2*c - 41. Suppose 0*j - j = 2*x + c, x = -j - 24. Let z be 10/95 + (-13850998)/x. Round z to the nearest one hundred thousand.
700000
Let t = -68 + 950. Let s = t + -881.99999127. Round s to six decimal places.
0.000009
Let g = -249.0006474 - -249. What is g rounded to five dps?
-0.00065
Suppose 0 = -b - i - 1940121, 46*b - 4*i - 5820363 = 49*b. Suppose -2700605 = -3*o + 8*o. Let n = o - b. What is n rounded to the nearest one hundred thousand?
1400000
Let h(l) = -l + 8. Let t be h(8). Suppose -14*r + 19*r + 30 = t. Let g be (64/r)/((-1)/(2 + -227)). Round g to the nearest 1000.
-2000
Let u = -7773937.9747 - -7774403. Let a = u - 465. Round a to 2 dps.
0.03
Suppose c = -2*i + 109256, -48*c + 50*c = 4*i - 218496. Round i to the nearest 10000.
50000
Let t = -299.471 + 14.561. Let u = -0.032 + 281.032. Let c = t + u. Round c to one dp.
-3.9
Let u = 0.53136 + 3.27854. What is u rounded to 1 dp?
3.8
Let h = -22265.899864557 - -22265.9. Round h to 6 decimal places.
0.000135
Let p = -169573 - -169573.0000190453. What is p rounded to 7 decimal places?
0.000019
Let n = 131.14 + -141.757. What is n rounded to 0 dps?
-11
Let z = 219 + -672. Let n = z - -453.0000042. Round n to 6 decimal places.
0.000004
Let p be (-1773504054)/72 + (-9)/(-12). What is p rounded to the ne | {
"pile_set_name": "DM Mathematics"
} |
*2 + 35*x - 191. Let n be p(-43). Suppose -9*y + n = -738. Is 99 a factor of y?
True
Let l be 371/9 - (3 + (-175)/63). Let i = 122 + l. Is i a multiple of 23?
False
Let b = 12034 + -7187. Does 55 divide b?
False
Let k = 12679 - 10479. Is k a multiple of 22?
True
Suppose 10*u - 5*u - 60 = 0. Suppose u*v - 904 = -172. Is v a multiple of 17?
False
Let t(r) = -7*r + 9 - 2*r - 7 - 12 + 97*r**2. Is 6 a factor of t(-1)?
True
Let y be -2*(-2 + (-5)/(-10)). Suppose y*k - 10*k = -1771. Is 49 a factor of k?
False
Suppose -3*q + 6*q - 17 = -l, 0 = 2*q + l - 12. Suppose 0 = 6*o + 7 + q. Let n(d) = -12*d - 1. Does 14 divide n(o)?
False
Let z(f) = 7*f - 11. Let c(b) = -7*b + 11. Let i(s) = 6*c(s) + 5*z(s). Let l(w) = 14*w - 21. Let r(d) = -11*i(d) - 6*l(d). Is r(-9) a multiple of 17?
True
Suppose -3*q + 173 = 4*h - 344, 2*q - 2*h = 326. Does 167 divide q?
True
Let w(j) = -j**3 + 21*j**2 + 51*j - 67. Suppose 0 = -10*g - 57 + 287. Is w(g) a multiple of 8?
True
Let k(f) = -f**3 + 7*f**2 - 7*f - 22. Let l be k(5). Let i(d) = -25*d + 83. Is 6 a factor of i(l)?
True
Is -8 + -1 + (4310 - 58) a multiple of 46?
False
Let t(z) = -714*z + 3747. Is 9 a factor of t(-41)?
True
Suppose -4*u + l = -6087, 769*u + 7615 = 774*u + 5*l. Does 9 divide u?
False
Let p = 3327 - 1181. Is 64 a factor of p?
False
Suppose -39 + 51 = 2*k. Let g be -20426*(-1)/k + (-6)/(-9). Suppose 11*z = g - 1425. Is z a multiple of 30?
True
Let d = -141 + 10. Let a = d - -185. Does 27 divide a?
True
Let i be ((-249)/4)/(135/(-2880)). Is 8 a factor of (-1)/((-2660)/i + 2)?
False
Let j = 263 + -263. Suppose j = -5*v - 2*c + 5639, 0 = -3*v + 7*v - c - 4519. Does 73 divide v?
False
Let q(k) = 182*k**3 + 9*k**2 + 21*k + 6. Is 16 a factor of q(6)?
False
Let q(u) = -4*u**3 - 11*u**2 - 7*u - 11. Let r = -234 + 229. Does 15 divide q(r)?
False
Suppose -4*p = 2 - 10. Suppose 7*v = p*h + 6*v - 220, -544 = -5*h + 4*v. Does 4 divide h?
True
Suppose p - 3*k + 1 = 0, 6*p - p - 5 = 5*k. Let f = -1036 + 1038. Suppose -2*q + f + 40 = p*g, g - 5*q = 3. Does 18 divide g?
True
Let l(d) = 11*d**2 - 59*d + 26. Let a be l(9). Suppose n = -5*t + 1199, -4*t = -4*n - 578 - a. Does 6 divide t?
True
Suppose 8928 = 3*r + 3*v, 4*r - 39*v + 34*v - 11931 = 0. Does 4 divide r?
False
Is (-2340)/((0 + 1)/(-3 - 2)) a multiple of 52?
True
Suppose -4*s = -4*k + 3*k + 175, -2*k + s + 315 = 0. Let w = 53 + k. Is 26 a factor of w?
True
Suppose x + 46 = -5*t, 5*t + 143 = -5*x + 9*t. Let f = x - -255. Does 21 divide f?
False
Let l be (3586/(-44))/(2/(-8)). Let k = l + -96. Is k a multiple of 23?
True
Let o be 18/5*430/3. Let v(s) = -s**2 - 9*s + 49. Let m be v(-12). Suppose -o = m*z - 1556. Is z a multiple of 6?
False
Let b = 189 + -184. Suppose -v = b*u - 563, 0*u + 2*u - 236 = 5*v. Does 6 divide u?
False
Suppose 33836 = 13*h + 24*h - 103804. Is h a multiple of 24?
True
Suppose -476229 + 3913509 = 124*a. Does 30 divide a?
True
Suppose 31*w - 403500 = 6*w. Does 60 divide w?
True
Is 73/657 + (-3616)/(-18) a multiple of 2?
False
Suppose -51*n = -71*n - 1140. Is 27 a factor of 36/(-8)*(-3 + n)?
True
Suppose 42 - 146 = 2*h - 3*s, -5*s - 118 = 3*h. Does 30 divide (-24321)/(-27) + -1 - h/207?
True
Suppose 0 = -4*g - 3*b + 44691, g + 395*b = 397*b + 11170. Does 28 divide g?
True
Let o = 18 + -41. Let g = o + 25. Suppose g*d - 112 = 154. Is 28 a factor of d?
False
Let b = 11927 - 9215. Is b a multiple of 24?
True
Let f(c) = 57*c + 69. Let y be f(11). Suppose 8*m - y = 528. Does 51 divide m?
True
Let n(c) = 12*c**3 - 5*c**2 - 10*c + 21. Is n(7) a multiple of 13?
True
Suppose -2350070 - 2029354 = -147*f. Does 14 divide f?
True
Let t(s) = 3*s**3 - 51*s**2 - 122*s - 32. Is t(23) a multiple of 128?
False
Let k(g) = -11*g - 13. Suppose 0 = -2*w - 5*f - 115, -w - 8 = -f + 32. Let o = 37 + w. Is k(o) a multiple of 25?
True
Let c be 30/25 - (-36)/(-30). Suppose c = -f - 5*y + 212 + 168, 5*f = -y + 1948. Does 6 divide f?
True
Let p = 176 - 171. Suppose 2*g = -z + 113, 5*z = p*g - 374 + 129. Is g a multiple of 3?
True
Let u = -147367 - -210214. Does 20 divide u?
False
Suppose 5*h = -3*p + 7*p - 65, -3*p + 45 = -3*h. Suppose -p*m = -452 + 12. Is 5 a factor of m?
False
Suppose 4*d = 2*o + 20768, -166*d = -169*d - o + 15591. Is 59 a factor of d?
False
Let a = 474 + 5756. Is a a multiple of 89?
True
Let j(h) = 127*h + 102. Let o be j(8). Suppose -6457 - o = -25*m. Is 71 a factor of m?
False
Suppose -59454*o - 117046 = -59456*o. Is 19 a factor of o?
False
Let g(y) = -y**3 + 21*y**2 + 24*y - 42. Let o be g(22). Let q(h) = 88*h**2 + 3*h + 46*h**o - 2 - 80*h**2 + 59*h**2. Is q(1) a multiple of 38?
True
Let u(a) = 10*a**2 - 26*a + 31. Let m be u(12). Suppose -4*j + m - 3583 = -5*b, 485 = b - j. Is 44 a factor of b?
True
Is 120 a factor of ((-594076)/(-5) + 7/(-35))*(-28)/(-84)?
False
Let w = 72596 - 46290. Is 14 a factor of w?
True
Let i(k) be the second derivative of k**5/20 - 5*k**4/2 - k**3/3 + 62*k**2 + 22*k. Is 32 a factor of i(30)?
True
Suppose -1650*s = -1654*s - 3*b + 80372, s - 4*b = 20074. Is s a multiple of 10?
True
Suppose 0 = 3*o - 5*v + 1, -3*o - 13 = -5*v + 3*v. Let a = o - -11. Suppose 0 = 6*n - 2*n - 5*m - 228, -a*m = 4*n - 264. Does 31 divide n?
True
Let b(u) = 50 + 0*u - 2*u - 52. Let i be b(-7). Does 14 divide ((-21)/i)/(1/(-72))?
True
Let g = 14889 - -2501. Does 154 divide g?
False
Let t(v) = 3*v**3 + 2*v**2 + 7. Let f be t(-3). Let k = -64 - f. Is k/6*3*-2*1 a multiple of 2?
True
Suppose 49*q + 20856 = 21*q + 30*q. Is q a multiple of 33?
True
Suppose 55*w + 2132 = 32162. Is w a multiple of 13?
True
Let i = -190 + 193. Let q(b) = 6*b**3 + b**2 - 6. Does 11 divide q(i)?
True
Suppose t - 7 + 5 = 0. Suppose -2273 + 179 = -t*v. Is 6 a factor of 2 + (v/12 - 3/(-4))?
True
Suppose -12*b + 8*b = -12. Let d(j) = j**b - 9 + 8 + j + 3*j**2 + 6*j**2. Is 11 a factor of d(-8)?
True
Suppose -4*r = -34*y + 41*y - 70158, 4*y - 87669 = -5*r. Does 199 divide r?
False
Let m be (-9)/(162/(-4)) + 569/(-9). Let g = m + 75. Suppose 432 = 16*x - g*x. Does 18 divide x?
True
Let l be 6 + (64/(-34) - (-2)/(-17)). Let k = 26 + l. Suppose -23 = -4*j - 5*u + 1, 5*j - 2*u - k = 0. Is j a multiple of 2?
True
Suppose 3*t = -t - 12, 2*t = 5*a - 266. Let o be 28 - ((-41)/(-13) + (-8)/a). Suppose 0 = 4*k - 9*k + o. Is 3 a factor of k?
False
Let v = -37 + 39. Suppose -2 = -v*y + 2. Let z = 86 - y. Does 14 divide z?
True
Let w(g) = 517*g**2 + 71*g + 216. Is w(-3) a multiple of 16?
True
Let z = 56 - 51. Is (-5 + 21/z)/((-2)/1295) a multiple of 16?
False
Let x(p) = -33*p + 16. Suppose -2*f - 3 - 5 = 0. Let m be x(f). Is 20 a factor of (m/(-3) + 1)*(-30 + 27)?
False
Suppose -4*w - 2*w = -642. Let x = w + -71. Is x a multiple of 9?
True
Is 97940/10 + (3/1 - 12) a multiple of 100?
False
Suppose 3*t - 28 = -0*s - 2*s, -10 = -2*t + 3*s. Suppose 3*v + 323 = 4*v. Suppose -t*w = -835 + v. Is w a multiple of 8?
True
Let b(s) = -s**2 - 5*s - 2. Let n be b(-6). Let d be ((-183)/2)/(n/(-32)). Is 6/24 + d/(-8) a multiple of 23?
True
Let u(r) = 56*r**3 + 3*r**2 - 2*r + 7. Let w be u(-5). Let y = -11665 + 11671. Is w/(-33) + 4/y a multiple of 20?
False
Suppose 0 = 16*q - 6698 - 12982. Does 15 divide q?
True
Suppose -2*h + 0*h + 2 = 0, -5*u + 3*h + 12092 = 0. Let f be 6/24 + u/4. Is 10 a factor of f/20 - 1/4?
True
Suppose -6*r + 29252 + 22270 = 0. Is 18 a factor of r?
False
Let o = -3389 + 3738. Is 2 a factor of o?
False
Suppose 5*z - 7 - 13 = 0, 0 = h + 2*z - 13. Suppose 5*c = h*w - 295, -5*w + 3*c = -243 - 54. Is w a multiple of 10?
True
Let a(j) = -3*j - 78. Let n be 12/(10/6 + -4 + 2). Is a(n) a multiple of 3?
True
Let q = -1883 + 9449. Is q a multiple of 78?
True
Let v = -330 - -230. Let x = 130 + v. Is (-7000)/16*3/(x/(-8)) a multiple of 14?
True
Let j(l) = -27*l - 11*l - 4*l + 9. Let x be j(4). Let h = 255 + x. Is 16 a factor of h?
True
Suppose -5*d = 2*k + k + 7, 4*d = -k. Does 6 divide (-4)/(-4)*k + 193 + 2?
False
Suppose 26 = -3*w - m, -m = 5*w + m + 42. Let g be (0/2 + w)/((-3)/18). Let v = g + -8. Is v a multiple of 5?
False
Let o be (4 + 0)*23835/84. Suppose -10*s - 155 = -o. Is 14 a factor of s?
True
Let l be 2205 - (-4 + (-3 - (-6 - -2))). Suppose 0 = 3*u - 3*j - l, 5*j = -3*u + 1635 + 613. Suppose u = 2*s + 53. Does 41 divide s?
False
Suppose 0*f = f + 26. Let i = 30 + f. Suppose i*q - 32 | {
"pile_set_name": "DM Mathematics"
} |
What comes next: -50789216, -50789219, -50789222?
-50789225
What is next in -1371, -4907, -10617, -18501?
-28559
What comes next: 43736, 43781, 43820, 43853?
43880
What is the next term in 125454, 125600, 125746, 125892?
126038
What comes next: 120, -4901, -13280, -25023, -40136, -58625, -80496, -105755?
-134408
What comes next: -224, -435, -588, -641, -552, -279?
220
What is next in -535378, -4282834, -14454502, -34262488, -66918898, -115635838, -183625414, -274099732?
-390270898
What is next in -1231, -2615, -4019, -5443, -6887?
-8351
What is next in 1925, 7689, 17301, 30761, 48069, 69225?
94229
What comes next: 65591, 262606, 590965, 1050668, 1641715, 2364106?
3217841
What is next in 3479, 12532, 27611, 48710, 75823, 108944, 148067?
193186
What comes next: 543131, 542586, 541677, 540404, 538767?
536766
What is the next term in 30594, 66078, 101562, 137046, 172530, 208014?
243498
What is next in -5639, -23226, -52547, -93614, -146439, -211034, -287411?
-375582
What is the next term in 817116, 3268474, 7354072, 13073910, 20427988, 29416306?
40038864
What comes next: -157, -27, 89, 191, 279, 353, 413?
459
What is the next term in 332359, 664698, 997029, 1329352, 1661667, 1993974, 2326273?
2658564
What is the next term in 3187, 2996, 2805, 2614?
2423
What comes next: -122096416, -244192823, -366289230, -488385637, -610482044?
-732578451
What comes next: -8059, -15920, -23593, -31078, -38375, -45484?
-52405
What comes next: 66243, 66397, 66815, 67629, 68971, 70973, 73767?
77485
What comes next: -50580, -50648, -50712, -50772, -50828?
-50880
What comes next: 1043, 3242, 6595, 11096, 16739, 23518?
31427
What is the next term in -452, -292, -102, 118, 368?
648
What is the next term in 175, 940, 2621, 5548, 10051?
16460
What is the next term in 4056, 8181, 12306, 16431, 20556?
24681
What is the next term in -81008, -80981, -80944, -80897, -80840, -80773?
-80696
What comes next: -73030, -153055, -233080?
-313105
What is next in -47971, -48025, -48185, -48481, -48943, -49601, -50485, -51625?
-53051
What is next in 595288, 1190498, 1785724, 2380966, 2976224, 3571498?
4166788
What is the next term in -1000, -6031, -19744, -46489, -90616, -156475?
-248416
What is next in 241, 352, 447, 514, 541, 516, 427?
262
What is the next term in 5854, 9542, 13230, 16918, 20606?
24294
What is the next term in 31590846, 63181692, 94772538, 126363384?
157954230
What is next in 2468, -6792, -16052, -25312, -34572?
-43832
What is next in -353499, -352390, -349375, -343500, -333811, -319354, -299175, -272320?
-237835
What comes next: 8906576, 17813193, 26719810, 35626427?
44533044
What is the next term in 266, -13302, -40694, -81916, -136974, -205874, -288622, -385224?
-495686
What is next in 3501, 4763, 6867, 9813?
13601
What comes next: -2012436, -4024701, -6036966, -8049231?
-10061496
What comes next: -244042, -488095, -732142, -976183, -1220218, -1464247, -1708270?
-1952287
What is the next term in -30032, -30102, -30172, -30242?
-30312
What is the next term in -2642, -2847, -2812, -2417, -1542, -67, 2128?
5163
What comes next: 13111, 52483, 118105, 209977?
328099
What comes next: -1024174, -1022996, -1021032, -1018282, -1014746, -1010424, -1005316?
-999422
What comes next: 91628, 733079, 2474152, 5864657, 11454404, 19793203, 31430864, 46917197?
66802012
What is next in -105678, -209754, -313830?
-417906
What comes next: -2639, -8936, -19439, -34148, -53063?
-76184
What comes next: -112, -684, -2198, -5128, -9948, -17132, -27154?
-40488
What comes next: 41058925, 41058906, 41058887, 41058868, 41058849?
41058830
What is the next term in -15378408, -30756785, -46135174, -61513581, -76892012, -92270473?
-107648970
What is the next term in 428584, 428605, 428626?
428647
What comes next: -57432, -58321, -59172, -59973, -60712, -61377, -61956?
-62437
What is next in 2206, 6147, 10090, 14035?
17982
What is the next term in -2449, -17740, -57725, -134266, -259225, -444464?
-701845
What is next in 47941, 192091, 432329, 768649, 1201045, 1729511, 2354041, 3074629?
3891269
What comes next: 58492, 58682, 58872, 59062, 59252, 59442?
59632
What is the next term in -4684, -20645, -47870, -86359, -136112, -197129, -269410?
-352955
What is next in 9178, 35385, 79058, 140191, 218778, 314813, 428290?
559203
What comes next: -44272, -177171, -398680, -708805, -1107552?
-1594927
What is next in 22051, 44445, 66841, 89239, 111639?
134041
What is the next term in -3911, -5732, -5463, -3110, 1321, 7824, 16393, 27022?
39705
What comes next: -1381, -2601, -3821, -5041, -6261, -7481?
-8701
What is next in -661, -1448, -2251, -3052, -3833, -4576, -5263, -5876?
-6397
What is the next term in 1115, 8528, 28479, 67238, 131075, 226260, 359063?
535754
What is next in 1737222, 1737220, 1737218?
1737216
What is next in 3699642, 7399257, 11098872, 14798487, 18498102?
22197717
What comes next: 920, 316, -658, -1996, -3692, -5740, -8134, -10868?
-13936
What comes next: 12429, 51340, 116187, 206970, 323689?
466344
What is the next term in -9335, -16706, -28997, -46214, -68363, -95450?
-127481
What is the next term in 63413, 126763, 190051, 253277, 316441, 379543, 442583?
505561
What comes next: 466806, 467127, 467448?
467769
What is the next term in -24832741, -49665501, -74498261, -99331021, -124163781?
-148996541
What comes next: -1407, -3111, -5461, -8781, -13395?
-19627
What is the next term in -88374, -353490, -795342, -1413930?
-2209254
What is next in 28697, 230180, 777069, 1842068, 3597881, 6217212, 9872765?
14737244
What is the next term in 1064, 4670, 14424, 33404, 64688, 111354?
176480
What comes next: -174111, -696528, -1567253, -2786286, -4353627, -6269276?
-8533233
What is the next term in 4447, 9054, 13647, 18220, 22767, 27282, 31759, 36192?
40575
What is the next term in 3532, 8161, 13886, 20713, 28648, 37697?
47866
What comes next: -1603, -1487, -1283, -991, -611, -143, 413?
1057
What is next in -3752163, -3752156, -3752149, -3752142?
-3752135
What is next in 31662, 63542, 95418, 127290, 159158, 191022, 222882?
254738
What is next in 98754, 100044, 101332, 102618, 103902, 105184?
106464
What is the next term in 128, 469, 990, 1691, 2572, 3633?
4874
What is next in 5728071, 22912272, 51552615, 91649106, 143201751, 206210556, 280675527, 366596670?
463973991
What is next in 9163, 36722, 82649, 146938, 229583?
330578
What is next in -2472472, -4944942, -7417412, -9889882, -12362352, -14834822?
-17307292
What is next in 1635931, 3271874, 4907825, 6543784, 8179751?
9815726
What is the next term in 68123, 129299, 190475?
251651
What comes next: 10671, 21356, 32053, 42756, 53459, 64156, 74841?
85508
What is next in 3711, 3680, 3675, 3708, 3791, 3936, 4155, 4460?
4863
What is next in -24832, -99360, -223624, -397666, -621528, -895252, -1218880, -1592454?
-2016016
What is next in 1120, 2211, 3288, 4351, 5400?
6435
What is next in 28626, 28615, 28566, 28461, 28282, 28011, 27630, 27121?
26466
What is next in 601546, 1203080, 1804606, 2406124, 3007634, 3609136, 4210630?
4812116
What is the next term in -10125, -17913, -25701, -33489, -41277?
-49065
What is the next term in -24775, -49514, -74221, -98896?
-123539
What is next in -260335, -1041421, -2343229, -4165759, -6509011, -9372985, -12757681?
-16663099
What is the next term in -1764, -3424, -5086, -6750, -8416, -10084, -11754?
-13426
What is next in 31486, 47483, 63480, 79477, 95474?
111471
What comes next: 11675, 45966, 102901, 182486, 284727?
409630
What is the next term in 107968, 431833, 971608, 1727293, 2698888?
3886393
What is the next term in -6229626, -12459252, -18688876, -24918498, -31148118?
-37377736
What is next in -21690, -173404, -585158, -1386960, -2708818?
-4680740
What is next in -3717, -15213, -34341, -61101, -95493, -137517?
-187173
What is the next term in -6546, -6549, -6600, -6729, -6966?
-7341
What is next in 6560, 12969, 19488, 26117, 32856, 39705?
46664
What is the next term in 2240, 3507, 5608, 8543?
12312
What is the next term in -578, -1654, -3210, -5264, -7834, -10938, -14594, -18820?
-23634
What comes next: -14551397, -14551392, -14551385, -14551376, -14551365, -14551352?
-14551337
What comes next: 4905, 6517, 8129?
9741
What is the next term in -1223, -5205, -15951, -36839, -71247, -122553, -194135, -289371?
-4 | {
"pile_set_name": "DM Mathematics"
} |
= p - u. What is the units digit of l?
7
Suppose 5*a = -z - 1418 + 6491, 5*a = -3*z + 15189. What is the tens digit of z?
5
Let h(a) = 38*a - 56. What is the units digit of h(13)?
8
Suppose 10 = 3*j + 2*b, 5*b - 15 = -5*j - 0. Suppose 4*d - 11 = g, -j*g + 30 = 10. Suppose -v = 3*v - d. What is the units digit of v?
1
Suppose 0*b + 4*d - 677 = -b, 1336 = 2*b + 2*d. Suppose a = -6*a + b. What is the tens digit of a?
9
Let w = 4 + 0. Let p be 0*(w - 3)*-1. Suppose p = -2*j + j + 5. What is the units digit of j?
5
Let a = 2015 - 1499. What is the units digit of a?
6
Let v(d) = -d**3 + 10*d**2 + 4*d - 13. Let s be v(10). Suppose -s = -5*a + 8*a. What is the units digit of (-65)/a - (-24)/(-108)?
7
Let a(z) = 2*z**2 - 15*z + 52. What is the units digit of a(6)?
4
Let w = 5 - 8. Let o(p) = 10*p**2 - p + 4. What is the units digit of o(w)?
7
Let j = -129 + 41. Let w = j + 123. What is the units digit of w?
5
Let x(m) = m**2 + m + m - 10*m - 10. Let i(u) = -4*u + 46. Let a be i(9). What is the tens digit of x(a)?
1
Let d(m) = -3*m**2 + 12*m - 7. Let a(t) = -16*t**2 + 60*t - 35. Let x(o) = 2*a(o) - 11*d(o). What is the units digit of x(16)?
1
Let z = 142 + 1851. What is the tens digit of z?
9
Let o = -10 + -4. Let k be ((-2)/4)/((-1)/30). Let x = o + k. What is the units digit of x?
1
Let q(g) = -5*g**3 + 1. Let j = -1 - -1. Suppose -n - 5 + 4 = j. What is the units digit of q(n)?
6
What is the tens digit of (-208)/260*(-745)/4?
4
Let d(n) = -53 - 4*n + 3*n - 2*n + 48. Let h = 1 + -4. What is the units digit of d(h)?
4
Let p be 2*(4/10 - (-310)/(-25)). What is the units digit of ((-12)/p)/(2/476)?
9
Let m = 23 - 20. What is the tens digit of m*-1*(-261)/27?
2
Suppose -66*u + 224 = -85048. What is the thousands digit of u?
1
Let r(u) be the third derivative of u**4/8 + 4*u**3/3 - 2*u**2 + 90*u. Suppose -4*n + 4 = -3*n. What is the tens digit of r(n)?
2
Suppose t + 6*t - 3822 = 0. What is the hundreds digit of t?
5
Let l = -4 - -9. Suppose -3*d + 3 = 2*p, -l*d = -5*p - 7 + 2. Suppose p = -2*z + 5*z - 9. What is the units digit of z?
3
Suppose 0 = -2*x + 5 + 3. Suppose 4*b - t + 0*t + 6 = 0, 12 = -x*b + 4*t. What is the tens digit of 11 + b/(-3)*3?
1
Suppose -8 = 4*u + 4*w, -3*w = 2*u + w + 12. Let z = 12 - u. Let l = z + 6. What is the units digit of l?
6
Let b(k) = -148*k + 483. What is the hundreds digit of b(-3)?
9
Let y = -12151 - -17050. What is the tens digit of y?
9
Suppose 3*h + 199 = -2*c, -2*c - 2*h - 296 = c. What is the tens digit of (-15 + 20)*c/(-10)?
4
Let k(s) = -s**2 - 3*s + 2. Let p be k(-4). Let y be p/(-14) - 1004/(-28). Let o = -12 + y. What is the units digit of o?
4
Let b = 6 - 1. Let x(l) = 3*l + 17. Let n be x(8). Suppose -11 = b*r - n. What is the units digit of r?
6
Let j = 1121 - 65. What is the tens digit of j?
5
Let k be 274/10 - 2/5. Suppose 0 = -2*r + 3*y - 8, 5*y = -4*r + 8 - 2. Let g = r + k. What is the tens digit of g?
2
Let u(f) = -f**3 + 4*f**2 - 4*f + 5. Let n be u(3). Suppose 3*x + 108 = 2*m, 3*m + n*m - x - 257 = 0. What is the tens digit of m?
5
Let t = -4 + 7. Suppose 5*h = 3*y - 136, -t*y = -5*y + 4*h + 94. Let u = y - 23. What is the units digit of u?
4
Let a be ((-5)/2 - -1)*-2. Suppose 0 = a*l + h - 22, -5*l + 18 = -2*l - 3*h. Suppose -p - 2*b = -20, 4*b = 2*p - 65 - l. What is the units digit of p?
8
Suppose -4*o = -3 - 1. Let n be 18/(3 + o + -3). Let i = 25 - n. What is the units digit of i?
7
Let k(r) = 10*r**2 + 4*r - 2. Let a be k(3). Suppose 0 = -n + a - 41. What is the units digit of n?
9
Suppose 0 = 3*y - y - 2988. What is the units digit of ((-2)/(-3))/(12/y)?
3
Let f(q) = 35*q - 268. What is the units digit of f(21)?
7
Suppose -23*q + 15576 = 10*q. What is the hundreds digit of q?
4
Let v = 13 - -38. Suppose f = -3*m + v, -3*m + 40 + 89 = 3*f. What is the units digit of f?
9
Let k = -8 + 10. Let h(t) = -3*t**3 + 6*t - 10*t**k + 1 - 4*t + 11*t**2. What is the units digit of h(-1)?
3
Let a be (-3)/(((-27)/(-699))/(-3)). Suppose -a - 348 = -7*p. What is the units digit of p?
3
Suppose 560 - 4055 = -5*n. What is the tens digit of n?
9
Let v(u) = 50*u**2 - 12*u + 101. What is the thousands digit of v(-8)?
3
Let r(a) = -61*a - 1. Let n be r(16). What is the units digit of n/(-3) - (-8 + -1)/27?
6
Let z(y) = 2*y - 7. Let i be z(5). Suppose i*a + 22 = 334. Suppose 2*u + 18 - a = 0. What is the tens digit of u?
4
Let l(o) = 402*o + 218. What is the tens digit of l(4)?
2
Let j(g) = -13*g**3 - 2*g**2 + 4*g + 4. What is the hundreds digit of j(-3)?
3
Suppose 250 = 5*z - 5*r, 0 = 3*z + 4*r - 5*r - 158. What is the units digit of z?
4
Suppose 7*a - 687 - 3156 = 0. What is the units digit of a?
9
Let f be 3 - 1 - (-1 - 1). Suppose -f*w + 1 = 2*u - u, 2*w = 3*u - 3. Suppose -20 = -j - 2*x, w = -0*j + 2*j - x - 40. What is the tens digit of j?
2
Let w(i) = -i**2 - i + 4. Let r be w(0). Suppose 4*c - 66 = d + 12, r*c - 2*d - 76 = 0. What is the tens digit of c?
2
Let f = 1741 - -1376. What is the units digit of f?
7
Let n(s) = -s**3 - 5*s**2 - s + 1. Let b be n(-4). Let i be (-1153)/b - 4/(-22). Suppose 4*m + m - i = 0. What is the units digit of m?
1
Suppose -4*f = -3*f + 4*t + 9, 3*f - 3*t - 18 = 0. Suppose -79 = -4*r - 4*v + 77, 2*v = f*r - 132. What is the tens digit of r?
4
Let k(q) = -720 - 13*q**2 - q + 724 - q**3 + 0*q. Let b be (5/(-10))/((-1)/(-26)). What is the units digit of k(b)?
7
Let g be 0/(-3 + -4 + 5). Suppose g = -11*d + 12*d - 210. What is the tens digit of d?
1
Let n = 102 + -126. What is the units digit of (1 - -2)*(-1288)/n?
1
Suppose 0 = -3*w + 4*w - 5. Let v be 11/w - 2/10. Suppose 0 = 3*b + v*b - 60. What is the units digit of b?
2
Let r be 28/36 - 1 - (-182)/9. Suppose 21*w - r*w - 186 = 0. What is the hundreds digit of w?
1
Let s = -6699 + 12556. What is the thousands digit of s?
5
Let u = 102 - 100. Suppose -u*r = -573 + 121. What is the tens digit of r?
2
Let n(k) be the first derivative of k**6/72 + k**5/120 - k**4/12 + 4*k**3/3 - 1. Let l(u) be the third derivative of n(u). What is the tens digit of l(-3)?
4
Suppose -9 = -6*p + 3*p. Suppose 6 = 3*m - 48. Suppose b - m = -p. What is the units digit of b?
5
Let k be (0*4/(-12))/2. Suppose -2*c + 18 + 46 = k. What is the units digit of c?
2
Let x = -102 + 72. Let k = x + 70. What is the units digit of k?
0
Let w(s) = s - 4. Let l be w(7). Suppose -12 = -5*d + l. Suppose -5*o - d + 13 = 0. What is the units digit of o?
2
Let a(m) = -m**3 + 6*m**2 + 7*m - 3. Let w be 6 + (0 - -4)/4. Let y be a(w). Let v = 5 + y. What is the units digit of v?
2
Let c(o) = o**3 - 3*o**2 - 4*o + 3. Suppose 2*x - 3 + 7 = 0, -s + 2*x + 8 = 0. Let m be c(s). What is the units digit of m*88/12 + 1?
3
Suppose 0 = -y + 2*j + 10, j = 4*y - 4*j - 28. Let k(d) = -d**2 + 3*d + 7. Let l be k(5). What is the units digit of y + 24 + 1 + l?
4
What is the tens digit of (-1)/(-11) + 85148/154?
5
Let l be ((-2)/(-4))/((-3)/30). What is the units digit of l/(-15) - 3/((-9)/101)?
4
Let a = 18 + -20. What is the hundreds digit of a/(-15)*-51*-30 + -1?
2
Let t = -100 + 152. Suppose 3*m - t = -5*a + 104, -2*m = 3*a - 105. Suppose -g + m = 2*g + 4*q, 3*q = 3*g - 78. What is the tens digit of g?
2
Suppose -3 = 4*h + 5*m, -6 = 2*h + m - 3. What is the hundreds digit of h - -127 - (2 - 6)?
1
Let n be 40/(-10) - (1*455)/(-1). Suppose 10*b - 29 - n = 0. What is the tens digit of b?
4
Let u = -6130 - -10960. What is the units digit of u?
0
What is the tens digit of (-6929)/(-13) + 2 + (2 - 0)?
3
Suppose 3*q + 3*w = 10 - 4, -4*w + 2 = 2*q. Suppose -c - q*c + 16 = 5*l, 12 = 3*c - 5*l. What is the units digit of (-42)/(-7) + c + -1?
9
Suppose -3*u = 2*u - 270. Suppose -58 = 2*y + 16. Let h = u + y. What is the tens digit of h?
1
Suppose 7*d - 2*d = 30. Let v(s) = s**3 - 6*s**2 + 4*s + 8. What is the tens digit of v(d)?
3
What is the units digit of -3 - (-31)/11 - (-3744)/22?
0
Let u = 2656 - 1764. What is the tens digit of u?
9
Let a = -28 + 31. Suppose 3*h - 2*s = 87, 2*h - 132 = -a*h - s. What is the units digit of h?
7
Let f(t) = -t**3 + 5*t**2 - 33*t - 19. What is the units digit of f(-7)?
0
Let a = 1000 - -1154. What is the thousands digit of a?
2
Suppose z + 14 = s - 0, -5*s + 3*z = -76. Let g = -18 + s. What is the units digit of (0 - -6)*g/(-2)?
3
Let d be (-4)/6*246/(-2). Sup | {
"pile_set_name": "DM Mathematics"
} |
).
-224
Let u(x) = -7*x**2 - 1478*x + 9687. Determine u(-218).
-777
Let x(z) = -z**3 + 71*z**2 - 9*z - 18. Give x(0).
-18
Let s(y) = 5*y**2 + 51*y + 146. What is s(-23)?
1618
Let t(y) = 74*y**2 + 4662*y - 550. Determine t(-63).
-550
Let l(u) = 975*u**2 + 49703*u - 1114. Calculate l(-51).
8
Let d(n) = -n**2 - 44*n + 119180. Determine d(-368).
-52
Let i(j) = -413*j + 19916. Give i(48).
92
Let j(m) = -96*m**3 + 2399*m**2 + 17*m + 108. Determine j(25).
-92
Let r(t) = -14405*t - 216075. What is r(-15)?
0
Let l(b) = b**3 - 6*b**2 + 3599*b - 14367. Give l(4).
-3
Let u(t) = -t**2 - 971*t - 231273. Give u(-552).
15
Let d(b) = 27*b**2 - 1933*b - 564. What is d(72)?
228
Let r(l) = -1131*l + 33001. Give r(29).
202
Let l(p) = p**3 - 2*p**2 + 11*p - 4. Determine l(-3).
-82
Let d(h) = -6*h**3 + 439*h**2 - 2817*h - 1357. Determine d(66).
29
Let j(f) = f**3 + 15*f**2 - 1788*f - 28290. Give j(-16).
62
Let j(y) = -274*y**3 + 10*y**2 + 7*y + 3. What is j(-1)?
280
Let f(c) = -631*c + 58708. What is f(93)?
25
Let g(i) = -1164*i - 18823. Calculate g(-16).
-199
Let j(d) = -1065*d - 38140. Give j(-35).
-865
Let k(z) = -172*z - 49185. What is k(-286)?
7
Let g(o) = o**3 - 34*o**2 - 1406*o - 10021. Calculate g(-11).
0
Let d(y) = 487667*y + 487657. Give d(-1).
-10
Let r(s) = -10*s**2 + 42*s + 201. Give r(-7).
-583
Let w(a) = a**3 - 20*a**2 + 32*a - 2306. Determine w(23).
17
Let g(n) = -1211*n**2 - 7*n - 9. Determine g(-1).
-1213
Let h(i) = -7*i**2 - 30*i + 649. Give h(8).
-39
Let z(p) = 2*p**3 - p**2 - 3317*p + 6650. Determine z(2).
28
Let h(f) = -2*f**3 + 62*f**2 + 7356*f + 1135. Give h(-47).
7
Let o(b) = -6521*b - 20015. What is o(-3)?
-452
Let h(f) = -f**2 - 11740*f - 502960. Give h(-43).
11
Let k(v) = 1051*v**2 - 10390*v - 1195. Calculate k(10).
5
Let s(j) = 168544*j - 3033790. Calculate s(18).
2
Let t(l) = l**2 + 196*l - 15318. Give t(60).
42
Let r(c) = c**2 + 598*c - 21194. Determine r(33).
-371
Let c(j) = -3*j**2 - 85849*j + 12858105. Determine c(149).
1
Let r(z) = 2*z**3 - 28*z**2 + 22*z - 295. Give r(19).
3733
Let g(s) = -s**3 - 140*s**2 - 2686*s - 287. Give g(-117).
-872
Let f(a) = a**3 - 26*a**2 - 89*a + 244. Give f(24).
-3044
Let h(i) = -20*i**2 + 182*i - 1637. Determine h(12).
-2333
Let x(m) = -5*m**3 + 145*m**2 - 1018*m + 69. Determine x(16).
421
Let m(g) = -5020*g - 351383. Give m(-70).
17
Let c(k) = -k**3 - 6*k**2 + 9302*k + 55809. What is c(-6)?
-3
Let v(b) = -12*b**3 + 1043*b**2 - 10018*b - 29. Calculate v(11).
4
Let x(b) = -38724*b - 193633. Determine x(-5).
-13
Let x(i) = -4*i**3 - 20*i**2 + 370*i + 2260. Give x(-6).
184
Let w(r) = r**3 + 66*r**2 + 539*r - 740. Determine w(-56).
436
Let u(w) = -2032*w - 46730. Calculate u(-23).
6
Let u(z) = 3*z**3 + 202*z**2 + 474*z + 1252. Determine u(-65).
17
Let l(n) = -241*n - 9451. What is l(-35)?
-1016
Let h(y) = -y**3 + 40*y**2 - 94*y + 2166. Give h(37).
2795
Let q(o) = -7*o**2 - 743*o - 9401. Give q(-14).
-371
Let m(k) = -9*k**2 + 329*k + 365231. Determine m(-184).
-9
Let w(y) = 40761*y + 3260878. Determine w(-80).
-2
Let g(v) = -218450*v - 2403033. Calculate g(-11).
-83
Let s(j) = 6022*j + 295052. What is s(-49)?
-26
Let w(q) = -q**3 + 6*q**2 + 63*q - 280. Determine w(12).
-388
Let n(q) = -7*q**2 + 609*q - 4203. Give n(7).
-283
Let k(r) = 101*r**2 + 787*r + 1485. Give k(-3).
33
Let k(l) = 7*l**2 - 157*l - 1644. Determine k(-7).
-202
Let d(i) = 1379*i + 45431. Determine d(-33).
-76
Let k(t) = 31*t + 5146. Give k(-156).
310
Let p(v) = -136*v**2 + 7018*v - 35060. Give p(5).
-3370
Let a(s) = -s**2 + 5*s + 498. What is a(40)?
-902
Let i(k) = 2*k**2 - 473*k + 136. Calculate i(0).
136
Let z(r) = -r**3 - 173*r**2 + 706*r - 233. Determine z(-177).
121
Let f(n) = -88158*n - 442418. Give f(-5).
-1628
Let q(o) = -11572*o + 80952. Calculate q(7).
-52
Let o(q) = q**3 - 7*q**2 + 164*q - 1844. What is o(10)?
96
Let p(c) = -2*c**2 - 2470*c + 131126. What is p(51)?
-46
Let w(i) = 279*i - 2983. What is w(7)?
-1030
Let n(k) = 3*k**2 - 15205*k + 767660. Calculate n(51).
8
Let d(h) = 477*h + 26372. Calculate d(-55).
137
Let v(o) = 84220*o + 252684. Calculate v(-3).
24
Let h(q) = 17*q**2 - 496*q - 1456. Give h(-3).
185
Let h(o) = 945*o - 129306. Determine h(136).
-786
Let l(f) = -f**3 - 163*f**2 + 1733*f + 449. What is l(-173)?
-70
Let g(s) = 7*s**3 - 461*s**2 + 368*s + 143. What is g(65)?
-1287
Let j(a) = 486*a + 6790. Calculate j(-14).
-14
Let j(y) = 14252*y + 755378. Determine j(-53).
22
Let j(l) = 29*l**2 + 156*l - 117. Calculate j(-6).
-9
Let v(r) = -1026*r + 487250. Calculate v(475).
-100
Let p(d) = -2*d**2 + 5967*d + 77724. Give p(-13).
-185
Let f(i) = 65077*i + 3384001. Calculate f(-52).
-3
Let u(p) = p**3 - 239*p**2 + 1402*p + 9. Determine u(6).
33
Let v(t) = -t**2 - 63124*t + 631363. Give v(10).
23
Let a(t) = 56407*t - 5527896. Determine a(98).
-10
Let n(i) = 2*i**3 - 5*i**2 + 25*i - 522. Calculate n(8).
382
Let h(x) = -x**3 + 16*x**2 + 407*x + 886. Give h(-11).
-324
Let g(p) = -2*p**3 + 46*p**2 - 216*p + 85. What is g(17)?
-119
Let z(u) = 8*u**3 + 4*u**2 + 140*u - 147. Determine z(1).
5
Let k(p) = p**2 + 76*p - 10592. Calculate k(-151).
733
Let r(m) = -m**3 + 2*m**2 + 564*m - 1685. Determine r(3).
-2
Let c(p) = -7*p**2 + 12880*p - 38616. What is c(3)?
-39
Let f(k) = k**3 - 22*k**2 - 156*k + 3922. What is f(15)?
7
Let u(n) = -12720*n**2 - 50961*n - 319. Determine u(-4).
5
Let j(s) = s**3 - 150*s**2 - 1625*s - 260. What is j(-10)?
-10
Let f(u) = -9259*u - 101897. Calculate f(-11).
-48
Let u(m) = -2*m**2 + 9868*m - 127943. Give u(13).
3
Let l(u) = 108*u - 9703. Determine l(88).
-199
Let j(g) = -184708*g + 23827348. Determine j(129).
16
Let a(n) = -96461*n + 1929218. Calculate a(20).
-2
Let l(n) = -62*n + 13231. Give l(184).
1823
Let h(n) = -175*n - 19243. Calculate h(-107).
-518
Let v(s) = -s**3 + 45*s**2 - 301*s - 348. Give v(9).
-141
Let w(g) = 585*g - 253976. Give w(434).
-86
Let m(u) = -120*u**3 - 2*u**2 - 41*u + 82. Calculate m(2).
-968
Let x(z) = 112*z**2 + 350*z + 48. Give x(-3).
6
Let o(n) = 1252*n + 51317. Give o(-41).
-15
Let c(q) = 4251*q - 271460. What is c(64)?
604
Let p(n) = -n**3 - 9*n**2 - 38*n - 136. What is p(-7)?
32
Let n(m) = m**3 - 156*m**2 - 134*m - 3705. Give n(157).
-94
Let b(z) = 15*z**2 - 744*z - 77. Determine b(52).
1795
Let d(y) = 61*y**2 - 6952*y - 227. Determine d(114).
1
Let p(i) = 8*i**3 + 273*i**2 - 268*i - 801. Give p(-35).
4
Let s(w) = -10*w**2 + 211*w + 5747. Determine s(35).
882
Let s(r) = -14278*r + 742457. Give s(52).
1
Let q(s) = 126*s - 28437. Calculate q(225).
-87
Let p(b) = 5*b**2 + 8022*b - 56268. What is p(7)?
131
Let k(x) = 4*x**3 - 95*x**2 + 527*x - 154. Determine k(8).
30
Let t(a) = 2*a**2 + 151*a - 16602. Calculate t(61).
51
Let x(p) = -p**3 - 15*p**2 + 2798*p + 25663. Calculate x(-9).
-5
Let j(t) = 2*t**3 - 133*t**2 - 52*t - 898. Calculate j(67).
107
Let i(c) = 979*c - 40263. Give i(41).
-124
Let n(a) = -4*a**2 - 3386*a - 637340. What is n(-564)?
-20
Let s(f) = -5314*f + 594860. Calculate s(112).
-308
Let a(f) = f**3 - 28*f**2 - 71*f - 668. Determine a(31).
14
Let f(h) = -4859*h - 9167. Give f(-2).
551
Let r(m) = 14*m**2 - 4524*m - 18073. Determine r(-4).
247
Let p(o) = o**3 + 92*o**2 + 1676*o + 2052. Calculate p(-23).
5
Let m(z) = -12799*z - 255951. What is m(-20)?
29
Let n(q) = -q**3 - 17*q**2 - 2633*q - 15368. What is n(-6)?
34
Let t(p) = 3*p**2 + 3879*p + 11628. Calculate t(-3).
18
Let z(i) = 4745*i - 28465. Determine z(6).
5
Let f(i) = 2*i**2 + 946*i + 106611. Give f(-188).
-549
Let o(m) = 10560*m + 18712313. Determine o(-1772).
-7
Let q(j) = 284586*j - 52. Determine q(0).
-52
Let q(p) = -p**3 - 19*p**2 + 55*p + 555. What is q(-17)?
-958
Let x(v) = -652*v + 94930. Give x(145).
390
Let w(m) = 2*m**2 - 85917*m + 945152. Determine w(11).
307
Let x(s) = -535728*s - 95895304. Determine x(-179).
8
Let j(r) = -r**3 - 19*r**2 - 60*r - 756. Determine j(-18).
0
Let x(j) = -89063*j + 890463. Calculate x(10).
-167
Let v(g) = -28*g**2 - 529*g - 1058. What is v(-2)?
-112
Let c(l) = -4*l**3 + 31*l**2 + 31*l - 312. What is c(3)?
-48
Let v(l) = -3*l**2 + 128*l - 992. Give v(34).
-108
Let f(h) = -210*h - 83. Determine f(1).
-293
Let o(r) = 4*r**2 + 10173*r + 40717. Determine o(-4).
89
Let z(r) = r**2 - 36*r - 6586. What is z(-74)?
1554
Let h(i) = 12*i**2 + 154*i - 2164. Calculate h(1 | {
"pile_set_name": "DM Mathematics"
} |
Let j = -1300 + 2619. Is j composite?
False
Suppose n - 13 = z - 6, -3*n = z - 1. Suppose -3*a = -4 + 16. Is (-14)/a - n/4 composite?
False
Is (2/2)/(1/307) a composite number?
False
Let y(v) = -v**2 - 14*v + 10. Let s be y(-11). Let p = -88 + 156. Let b = p - s. Is b a prime number?
False
Suppose 5 = 2*o + 3*o. Suppose -8 = -3*a + o. Is a a composite number?
False
Let y(t) = t**2 - 3*t + 2. Let c be y(3). Suppose 0 + 10 = c*m. Suppose 0 = -g - 2*d + 5, 0 = -m*g - 4*d + 10 + 33. Is g prime?
True
Let d = -1 - -10. Let o(f) = -f**2 + 14*f + 8. Is o(d) a composite number?
False
Is 0/(3 - 4) + 1294 composite?
True
Suppose -5*r = -17 - 8. Let b be -10 + r - (-2 - -1). Is (2 + -9)*b/14 a prime number?
True
Let h = -4 + 10. Suppose -4*r = -h*l + l + 301, -2*r = 3*l - 163. Is l a composite number?
True
Let p(b) = -b**3 - 6*b**2 - 8*b - 1. Is p(-8) a composite number?
False
Suppose 0 = -4*r + 4*q + 328, 2*q + 466 = 5*r + 47. Suppose 0 = 3*h - 0*h + 4*b - 283, -b - r = -h. Is h a prime number?
True
Let l(h) = h**3 + 3*h + 3. Is l(4) a composite number?
False
Suppose -3*s = -2*o + 9641, -5*o - 3*s = s - 24091. Is o prime?
False
Let c = -5 - -4. Let j = 0 + c. Is 83 + 0*j/2 composite?
False
Let i = 160 - 45. Is i a prime number?
False
Let k = -142 + 273. Is k prime?
True
Let o = 179 + 197. Suppose 2*c = -2*c - 4*w + o, 4*c - 4*w = 376. Suppose -6*d + 4*d = -c. Is d a composite number?
False
Let l be 3 - 1*(-1 - -2). Let s be 74*(l - (-5)/(-2)). Let k = -18 - s. Is k a composite number?
False
Suppose -3*j + 62 + 193 = 0. Is j a composite number?
True
Suppose 0 = 3*h - 7*h + 88. Let f be 2/(-11) - 524/h. Let u = 13 - f. Is u composite?
False
Suppose b + 596 = 3*v - 0*b, -v - 5*b = -204. Is v a prime number?
True
Let i(n) = n**3 - 11*n**2 - 11*n - 14. Let o be i(12). Let k(a) = 5*a + 1 - 40*a - 31*a. Is k(o) composite?
True
Let y be (2/(-4))/(7/(-14)). Let p = 2 + y. Suppose -4*b + 85 = -p. Is b composite?
True
Suppose 17*x - 5570 = 12*x. Is x a composite number?
True
Suppose n - 32 = 132. Let y = 267 - n. Is y prime?
True
Let x be 2/1 + (-7 - -5). Suppose -4*n + 21 + 23 = x. Is n*(0 + 1) + 2 a prime number?
True
Let r be (2 + 0 + -1)/(-1). Let x be (r*1)/(6/(-12)). Suppose 0 = x*p - c - 38, -5*p = -2*p - 5*c - 57. Is p a composite number?
False
Suppose -3*m + m + 98 = 0. Is m a composite number?
True
Let m(d) = -157*d - 30. Is m(-7) composite?
False
Suppose 4*r - 3915 = -r. Suppose 4*m - 5*h - 1046 = 0, -3*m - 2*h = -5*h - r. Is m a composite number?
True
Let w(d) = d**3 + 12*d**2 + d + 7. Let x be w(-5). Suppose x = 4*p + 2*u - 677, 0 = 4*p - u - 839. Is p a composite number?
False
Let k = 403 - 164. Is k a composite number?
False
Suppose -13557 = -12*f + 13647. Is f composite?
False
Let k(z) = 0 - 2 - 8*z - 1. Let p = -7 + 2. Is k(p) composite?
False
Is (261/12)/(21/644) a prime number?
False
Let o(c) = -c**3 + 9*c**2 - 2*c + 4. Let n be o(8). Is ((-5)/4)/((-1)/n) composite?
True
Suppose 3*a - 5*a + 5*w + 11 = 0, 0 = w + 1. Suppose 0 = -8*s + a*s + 1315. Is s prime?
True
Suppose -4*t = 2*u - 336, t - 77 = u + 2*u. Let m = -18 + t. Is m a prime number?
False
Let z(k) = 2*k**2 - 27*k + 25. Is z(18) a composite number?
True
Suppose 9 = 4*t - 0*t - b, 2*t = -b + 3. Let a = 4 + t. Suppose -2*n + 22 = -a. Is n prime?
False
Is (-620)/(-5) - (1 - 2/(-1)) composite?
True
Let a = 4 + -3. Let h = 48 + a. Is h a prime number?
False
Suppose 0 = 5*k - 3*y - 379, -3*y - y + 358 = 5*k. Is k prime?
False
Let j(b) = -b**3 + b**2 - 1. Let v be j(-2). Suppose -2*z = -v + 3. Suppose 0 = -u + c + 43, -2*c + 196 = -0*u + z*u. Is u prime?
True
Let t(r) = 10*r**2 + 34*r - 17. Is t(-15) a composite number?
False
Let r(c) = -c**2 + 6*c + 1. Suppose -3*a + 8 = -a. Suppose a*m + m = 20. Is r(m) prime?
False
Let h(m) = 2*m**2 + m + 3. Let v = -15 + 11. Is h(v) prime?
True
Is (-587 - 0)*25/(-5) a composite number?
True
Suppose 1826 = u - 1881. Is u composite?
True
Is (-14)/35 + (-6814)/(-10) + 2 prime?
True
Let t(z) = -78*z**3 - 2*z**2 - z. Let s(n) = -n**3 - 5*n**2 - n - 6. Suppose -4*m + 4*x - 8 = 0, -3*x = 2*m + 3*m + 34. Let a be s(m). Is t(a) prime?
False
Let j(d) = d**2 + 4*d + 22. Is j(15) composite?
False
Let r(j) be the first derivative of -15*j**2/2 - 8*j + 8. Is r(-6) composite?
True
Is (-1)/4 - (-12471)/12 a prime number?
True
Let o(n) = -5*n**2 + 4 + 3*n**3 + 0*n**3 + n + 5*n**3 - 3*n**3. Is o(3) composite?
False
Let c(h) = -h**3 + 13*h**2 + 11*h. Let j(z) = -z**3 + 14*z**2 + 11*z + 1. Let v(b) = 7*c(b) - 6*j(b). Is v(7) prime?
True
Let v(n) = -n**3 + n + 1. Let s be v(-6). Is (s - (-3 - 0)) + -3 composite?
False
Let w be 24/8*(-11)/(-3). Let d = w + -8. Suppose d*r = 15 + 54. Is r composite?
False
Let q = 196 + -136. Let s(p) = 2*p - 3. Let g be s(4). Suppose 0 = -3*w - 3*m + q, g*w - 3*m + 19 = 159. Is w a prime number?
False
Let m be ((-12)/5)/((-6)/(-30)). Let p = -27 + 58. Let j = p + m. Is j composite?
False
Let g = -3 + 5. Suppose 2*t - 6 = -3*o - g, 2*o + 2*t = 2. Suppose -5*h + 3*s = -394, -o*h + 163 + 0 = -3*s. Is h a composite number?
True
Let i = 5 + -3. Suppose 0 = i*d, -b - d = -14 - 65. Is b prime?
True
Let j = 374 - 217. Is j prime?
True
Let o be (-6)/3 - (-14)/2. Suppose -3*r + 34 = -o*f, -3*r - 2*r + 25 = -2*f. Is r composite?
False
Let g = 45 - -18. Is 14/g + (-2257)/(-9) composite?
False
Let f(k) = 9*k**2 - 4*k - 3. Is f(8) a prime number?
True
Is (42746/33)/((-5)/((-30)/4)) prime?
False
Let y = -2598 - 630. Is y/(-28) + 2/(-7) a prime number?
False
Suppose -4*y - 50 = y. Let f(i) = -8*i - 3. Let p(o) = 8*o + 3. Let g(j) = -5*f(j) - 6*p(j). Is g(y) prime?
False
Let y be ((-1)/(-3))/((-3)/(-18)). Suppose 2*n + 258 = 4*n + y*v, 5*n - 669 = v. Suppose -2*o - n = -3*o. Is o prime?
False
Let s be ((-12)/10)/((-15)/(-50)). Let q be 0/4*2/s. Is q/(-1 - -2) - -35 composite?
True
Suppose 4*t = -r + 8, 4*r + 12 - 4 = 4*t. Let p be ((-3)/t + 2)*0. Suppose 3*v - o + 10 - 47 = p, -29 = -3*v - o. Is v a prime number?
True
Suppose -z = -b + 135, -127 = -b + z + 2*z. Is b a composite number?
False
Suppose -2*d + 1485 = 5*l, 0 = -d + 4*l - 100 + 849. Suppose -c + 248 - d = -2*o, 0 = -5*o + 5*c + 1250. Is o prime?
False
Let w = 922 - 425. Is w composite?
True
Suppose 0 = 3*w + 3*j + 6, -5*w + 22 = -j - 2*j. Let o = w - -1. Is o a composite number?
False
Let r(k) = 69*k + 3. Let j(f) = 70*f + 4. Let o(w) = 4*j(w) - 5*r(w). Is o(-2) prime?
True
Suppose -7*w - 16 = -3*w. Is 171/15 + w/10 composite?
False
Let y = 20297 + -13390. Is y prime?
True
Suppose -b = -3*f + 14 + 4, 0 = 5*f - b - 30. Let z = 5 - 3. Suppose -f = z*p - 76. Is p prime?
False
Let f be 3/(-5) - 6/15. Let j(n) = -470*n**3 - n**2 - n - 1. Is j(f) prime?
False
Let q be (4/16)/((-3)/(-60)). Suppose q*u = 4*u + 221. Is u a prime number?
False
Let z(w) = -w. Let y(t) = 22*t - 4. Let g(o) = y(o) + z(o). Let x(s) = 43*s - 9. Let b(n) = 13*g(n) - 6*x(n). Is b(4) a composite number?
True
Let p be -1 + 2 + 4 + 0. Let t be (8/(-10))/((-3)/90). Suppose -p*v + v = -t. Is v prime?
False
Let a(b) = b**2 + 3. Let n be a(0). Let l be (-22)/(-1) + n + -4. Is l/(-3)*(-1 + 0) prime?
True
Let x(k) = -k**2 - 5*k. Let t be (5/1)/(2 - 3). Let o be x(t). Suppose 0 = -2*l - 5*u - 14, o*u = -5*l + 5*u + 35. Is l a composite number?
False
Suppose -8 = -u + 23. Is u a prime number?
True
Let h = -11 + 6. Is -1*(-4 - h)*-377 a prime number?
False
Suppose 7*v - 6*v - 5*n - 254 = 0, -5*v + 3*n = -1292. Is v a prime number?
False
Is (-5)/(1*(3/(-9))/1) a prime number?
False
Suppose -w = q - 432, -3*q - 2*q = -5*w + 2210. Is w composite?
True
Let o(y) = 4*y**2 + 4*y - 7. Let g be o(-9). Let m = 534 - g. Is m a prime number?
False
Let j(r) = r**2 + 6*r + 4. Let m be j(-5). Let y = m + 4. Suppose y*i + 3*n - 354 = 0, 3*i + 5*n = 156 + 196. Is i a composite number?
True
Suppose 5*j + 0 = 15. Let i = 3 + j. Is i a prime number?
False
Is 338/18 + (-4)/(-18) prime?
True
Let x(o) = -o**3 + 9*o**2 - 7*o - 5. Let q be x(8). Suppose -q*s + s = -340. Suppose m - s = -m. Is m a composite number?
True
Suppose 3*i - 290 = l - 23, -l = -3. Let u be (6/9)/(2/i). Suppose -u = -5*k - 0*k. Is k a composite number?
True
Let v = 313 + -179. Is v prime?
False
Suppose -3*h = 6*l - 2*l - 2683, 5*l + 4425 = 5*h. Is h prime?
False
Suppose -3*m + f + 14 = 2*f, -5 | {
"pile_set_name": "DM Mathematics"
} |
2 + 0*j**u + j**2 + 0*j**2. Let i(o) = -5*o**2. Calculate i(r(b)).
-20*b**4
Let i(u) = -152*u. Let j(p) = 3*p**2. Calculate j(i(k)).
69312*k**2
Let i(c) = -84*c**2 + 2. Let q(r) = 34*r**2 - 2. Determine i(q(b)).
-97104*b**4 + 11424*b**2 - 334
Let b(z) = -z. Let d(j) = -2*j - 26. Determine b(d(x)).
2*x + 26
Let g(f) = -2*f. Let z(h) be the third derivative of 0 + 2*h**2 + 0*h**3 + 0*h + 1/24*h**4. What is z(g(o))?
-2*o
Let j(c) = 3*c. Let k(a) = 532*a - 532*a + 5*a**2. Give k(j(x)).
45*x**2
Let a(q) = -58 - 18*q**2 + 58. Let f(o) = -o**2. Give f(a(w)).
-324*w**4
Let b(d) = 8*d**2. Let i(j) = -158 + 158 - 5*j**2. Determine b(i(q)).
200*q**4
Let n(c) = -4*c - 48 + 48. Let u = 15 - 10. Let k(t) = t - u*t + 3*t. Calculate k(n(h)).
4*h
Let p = 15 + -13. Let c(m) = 4*m + p*m - 8*m. Let n(v) = -4*v**2 - 1 + 1. What is n(c(k))?
-16*k**2
Let d(c) = 39*c**2 - 41*c**2 - 2 + 2. Let x(u) = -24*u. Calculate x(d(s)).
48*s**2
Let v(p) = 287*p. Let x(g) = 4*g. Give x(v(y)).
1148*y
Let u(c) = c**2. Let y be -33*3*(-3)/27. Let g(o) = 76 - y*o - 76. Determine g(u(f)).
-11*f**2
Let s(c) = -2*c**2 - 20. Let a(b) = -5*b**2. Determine s(a(k)).
-50*k**4 - 20
Let t(p) = -2*p**2. Suppose 3 = -3*n, -n = 2*s + 2*n - 1. Let b(y) be the first derivative of 0*y + 0*y**s + 1/3*y**3 - 1. Determine b(t(g)).
4*g**4
Let z(b) = -2*b**2. Let y(f) = 4*f - 6*f + 3*f. What is y(z(h))?
-2*h**2
Let l(r) = 1 - 1 + r**2. Let j = 0 + 3. Let c(d) = j*d - 4*d - d. What is l(c(m))?
4*m**2
Let t(i) be the second derivative of i**3/6 - 41*i**2/2 + 32*i. Let j(c) = c**2. Calculate j(t(b)).
b**2 - 82*b + 1681
Let a(m) = -2*m. Suppose 0 = -4*l - 3*p - 11 - 4, l - 4*p - 20 = 0. Let h(u) be the first derivative of u**2 + l + 0 - 3 + 4. Calculate a(h(c)).
-4*c
Let k(b) = -11*b**2 - 4*b. Let x(f) = -12*f**2 - 5*f. Let n(z) = -5*k(z) + 4*x(z). Let s(v) = 3*v**2. Determine n(s(d)).
63*d**4
Let g(r) = 3*r**2 - 6. Let t(d) = 6*d**2 - 13. Let q(h) = -13*g(h) + 6*t(h). Let l(o) = 3*o**2. Give q(l(j)).
-27*j**4
Let c(v) = -11*v**2. Let r(t) = -6*t**2. What is r(c(w))?
-726*w**4
Let u(n) = -1. Let d(x) = -x - 7. Let b(q) = -4*d(q) + 28*u(q). Let g(k) = 2*k**2. What is b(g(a))?
8*a**2
Let k(g) = 2*g. Let j(x) = -839*x**2. Calculate j(k(i)).
-3356*i**2
Let d(j) = 14771*j. Let n(i) = 2*i. What is n(d(u))?
29542*u
Suppose -5*l - 5 = -5*d, 0*l = l + 4*d - 19. Suppose 0 = -l*w + 6*w - 6. Let p(y) = -6*y**w + 0*y**2 + 4*y**2. Let m(t) = 2*t**2. Give p(m(u)).
-8*u**4
Let u = -6 - -10. Let o(p) = p - 4 + 0 + u. Let t(r) = 2*r**2. Determine t(o(d)).
2*d**2
Let b(g) = 0*g**2 + 0*g**2 + g**2. Let j(y) = 2*y - 1. Let c(m) = -9*m + 5. Let h(w) = -c(w) - 5*j(w). Give b(h(z)).
z**2
Let r(j) = 6*j**2. Let n = 8 + -4. Suppose -q + f - 2 = 0, -2*f + 0 + n = -4*q. Let u(k) = 0*k + q*k - 4*k + 2*k. What is r(u(o))?
24*o**2
Let a(z) = 5*z. Let p = -3 + 6. Let f(x) = -6*x + p*x + 5*x. Calculate f(a(h)).
10*h
Let o(d) = -4*d. Let i(g) = -240*g. Determine i(o(a)).
960*a
Let b(d) = d**2 - 2. Let z(a) = 6*a**2 - 11. Let s(n) = -22*b(n) + 4*z(n). Let l(c) be the third derivative of c**5/20 + 6*c**2. Determine s(l(u)).
18*u**4
Let a(x) = 30*x**2 - 2. Let n(z) be the first derivative of -2*z**3/3 + 23. Calculate a(n(k)).
120*k**4 - 2
Let g(l) = 10 - 10 + l**2. Let u(a) = 1 - 1 + 0 + 2*a. Give g(u(x)).
4*x**2
Let q(r) = 0*r + 4*r + 2*r - 8*r. Let t(v) = -3*v**2. What is t(q(c))?
-12*c**2
Let r(a) be the third derivative of -7*a**5/60 - 11*a**2. Let h(i) = 2*i**2. Calculate r(h(x)).
-28*x**4
Let h(u) = -2*u**2. Let a(m) = -m - 7. Let r(z) = z + 6. Let t(c) = 6*a(c) + 7*r(c). Determine t(h(d)).
-2*d**2
Let u(p) be the third derivative of -3*p**2 + 0*p + 0 - 1/12*p**4 + 0*p**3. Let y(t) = t**2. Determine u(y(s)).
-2*s**2
Let m(b) be the first derivative of 0*b**4 + 1/120*b**5 + 0*b**2 + 0*b - 1/3*b**3 - 3. Let v(f) be the third derivative of m(f). Let h(g) = 2*g. Give h(v(c)).
2*c
Let m(o) = -6*o - 26. Let a(k) = -5*k**2. Give m(a(x)).
30*x**2 - 26
Let u(v) = -2*v. Let w(a) be the first derivative of a**6/360 - 2*a**3/3 + 2. Let n(s) be the third derivative of w(s). Give u(n(k)).
-2*k**2
Let w(f) = -2*f. Let r(t) = -5*t**2 + 9. Give w(r(a)).
10*a**2 - 18
Let d(s) = 35*s**2. Let k(p) be the second derivative of p**3/3 - 17*p. Determine k(d(c)).
70*c**2
Let v(q) = 2*q**2. Let j(m) = m**2 + 8*m + 7. Let l be j(-7). Let p(a) = 5*a - a + l*a + a. Give p(v(k)).
10*k**2
Let q(v) = -18*v + 21. Let l(s) = -8*s + 9. Let g(b) = -7*l(b) + 3*q(b). Let t(u) be the first derivative of 5*u**3/3 - 1. Give t(g(c)).
20*c**2
Let m(v) = 13*v**2 + 18*v**2 - 16*v**2. Let j(y) = y. Determine j(m(g)).
15*g**2
Let o(r) = 37*r**2. Let i(g) = 2*g - 3. What is o(i(f))?
148*f**2 - 444*f + 333
Let x(h) = -2*h. Let b(r) = -331*r. Calculate x(b(m)).
662*m
Let r(u) = 2*u. Let x(b) = 5*b - 2*b**2 - 5*b. Calculate x(r(n)).
-8*n**2
Let x(h) = 2*h. Let l(o) = -8*o**2 + 211*o + 1. Give l(x(a)).
-32*a**2 + 422*a + 1
Let w(u) = -u. Suppose 2*l + i = -4, -2*i + 0 - 8 = -5*l. Let v(q) be the third derivative of 0*q**4 + l*q + 0 - q**2 + 0*q**3 + 1/30*q**5. Give w(v(j)).
-2*j**2
Let q(k) be the third derivative of k**5/30 + k**2. Let x(f) be the first derivative of -f**3 + 3. Calculate x(q(z)).
-12*z**4
Let f(i) = 9*i - 15. Let w be f(7). Let n(p) = -3*p**2 + 48 - w. Let d(q) = -4*q**2. What is d(n(b))?
-36*b**4
Let v(d) = 33 - 2*d**2 - 17 - 16. Let z(x) = -21*x**2. Calculate v(z(q)).
-882*q**4
Let n be ((-3)/(-1))/(-3) - -3. Let z(y) = 10 - 10 - y**n. Let r(f) = -5*f**2. Give r(z(c)).
-5*c**4
Let u(q) = 6*q. Let r(j) = 16*j + 6. Let h(k) = 16*k + 5. Let n(l) = -6*h(l) + 5*r(l). Calculate u(n(s)).
-96*s
Let v(x) be the second derivative of -3*x + 0*x**2 + 0 - 1/3*x**3. Let t(l) = -2*l - 10. Let d(y) = -1. Let b(h) = 20*d(h) - 2*t(h). Give v(b(q)).
-8*q
Let v(c) = -5*c**2. Let d(i) be the first derivative of -5*i**2/2 - 5. What is v(d(f))?
-125*f**2
Let x(u) = -204*u**2 - u. Let a(t) = t. Calculate x(a(v)).
-204*v**2 - v
Let v(m) = -2*m. Let h(c) = 4063*c**2. Determine h(v(b)).
16252*b**2
Let m(y) be the third derivative of y**4/24 + y**2. Let g(j) = 1 + 0 - 2. Let w(h) = -h + 3. Let u(k) = 3*g(k) + w(k). Give m(u(s)).
-s
Let d(f) = -5*f + 3. Let z(v) = 4*v - 2. Let l(p) = -2*d(p) - 3*z(p). Let g(a) = 15*a**2. Calculate g(l(u)).
60*u**2
Let m(b) = -2*b**2 + 8*b. Let q = 5 + -1. Let l = q + -1. Let w(v) = -v**2 + 3*v. Let u(r) = l*m(r) - 8*w(r). Let d(h) = -h**2. Determine d(u(k)).
-4*k**4
Let g(n) = -n + n + 3*n. Let s(y) = -5*y**2. What is g(s(m))?
-15*m**2
Let i(h) = 2*h**2. Let v(l) = -5*l**2 - 11*l + 13*l - 2*l. Determine i(v(a)).
50*a**4
Let z(c) = -c**2. Let s(h) = h - h - h**2 + 9*h**2. Give z(s(w)).
-64*w**4
Let j(v) be the third derivative of -v**4/24 - 3*v**2. Let y(g) = 2*g**2. Determine j(y(n)).
-2*n**2
Let z(f) = 28*f**2 - 12. Let w(p) = -p. Give z(w(u)).
28*u**2 - 12
Let i(k) = -2*k. Let o(m) = -m**2 + 180*m. What is o(i(d))?
-4*d**2 - 360*d
Let m(f) = 1942*f + 3. Let p(z) = 2*z**2. Calculate p(m(i)).
7542728*i**2 + 23304*i + 18
Let h(c) = -11678*c. Let x(d) = 3*d**2. Give h(x(a)).
-35034*a**2
Let c(v) = -2*v**2. Suppose 2*t + 1 = 3*g, -4*t = 5*g - 20 - 11. Let l(f) be the first derivative of 0*f + 0*f**2 + 1/3*f**g + 1. Determine c(l(x)).
-2*x**4
Let x(g) = g. Let p(a) be the second derivative of -7*a**3/6 - 5*a**2/2 - 4*a. Let t(n) = -18*n - 12. Let i(d) = -12*p(d) + 5*t(d). Calculate i(x(l)).
-6*l
Let a(x) be the third derivative of -x**4/6 - 11*x**2. Let w(s) = s. Give w(a(r)).
-4*r
Suppose 0*z = -2*r + 4*z + 2, 0 = 3*r - 4*z - 7. Let u(x) = -5 + x + 0*x + r. Let t(i) = -16*i. Determine t(u(q)).
-16*q
Let g(i) = 3*i**2. Let l(t) = -t + 2. Let m(o) = 3*o - 5. Let y(z) = 5*l(z) + 2*m(z). What is g(y(r))?
3*r**2
Let p(u) = -6*u**2 + 2*u**2 + 8*u**2. Let l(y) = 3*y**2. Determine p(l(s)).
36*s**4
Let r(y) = -y. Let h(j) be the first derivative of 0*j + 0*j**2 - 2 - 4/3*j**3. Give h(r(x)).
-4*x**2
Let v(i) = 26*i. Let l(t) = 2*t. Let d(o) = 28*l(o) - 2*v(o). Let y(c) be the third derivative of 5*c**4/24 + c**2. What is d(y(u))?
20*u
Let r(i) = i + 2*i**2 + 6*i - 7*i. Let t(v) = 2*v. What is t(r(x))?
4*x**2
Let y(v) = -1130*v**2 - 3*v. Let g(m) = m. Give g(y(u)).
-1130*u**2 - 3*u
Let i(u) = -2*u**2 + 1578*u. Let d(k) = k**2. Determine i(d(y)).
-2*y**4 + 1578*y**2
Let c(t) | {
"pile_set_name": "DM Mathematics"
} |
1, -10 in descending order.
446, 2, 1, 0.42, -10
Put -41354/7, 1, -1/3 in ascending order.
-41354/7, -1/3, 1
Sort 23, -5, -730, -1/6 in increasing order.
-730, -5, -1/6, 23
Sort 19, -2, 1869, 51.
-2, 19, 51, 1869
Put 19.6, -2/3, -0.03, -1/4, 1/122 in descending order.
19.6, 1/122, -0.03, -1/4, -2/3
Sort 3, -1, 782, 0.04737 in decreasing order.
782, 3, 0.04737, -1
Sort -3, -31, 5, -24, 3, -5, -2 in decreasing order.
5, 3, -2, -3, -5, -24, -31
Sort 0.1, -23200, 2, -10/51 in decreasing order.
2, 0.1, -10/51, -23200
Sort -2, 3, 0, 2, -3, 990 in increasing order.
-3, -2, 0, 2, 3, 990
Put 100, 0, -635, 1, 7, 36 in decreasing order.
100, 36, 7, 1, 0, -635
Sort 3, -157, 11, 59630 in increasing order.
-157, 3, 11, 59630
Sort -0.044, 0.16, 0.0954 in ascending order.
-0.044, 0.0954, 0.16
Sort 5248, -8, 7, -2, 3, 5, 4 in ascending order.
-8, -2, 3, 4, 5, 7, 5248
Sort 35, 130244, 10, -5 in decreasing order.
130244, 35, 10, -5
Sort -69, -19, 0, -3, -5, 2 in descending order.
2, 0, -3, -5, -19, -69
Put 18, -7, 1273, -1 in ascending order.
-7, -1, 18, 1273
Sort 3, -3, 179501 in decreasing order.
179501, 3, -3
Put -0.1, -7, 73, 2, 4, 3, -4/3 in descending order.
73, 4, 3, 2, -0.1, -4/3, -7
Put 0, 415, -2/65, 1/5, 2 in decreasing order.
415, 2, 1/5, 0, -2/65
Sort 38, 45.664, -0.4.
-0.4, 38, 45.664
Put 1713, -147, 8, 0 in ascending order.
-147, 0, 8, 1713
Sort -1, -5434, 13, 17, -2 in decreasing order.
17, 13, -1, -2, -5434
Sort -7, -2, -5, 1145, -1, -4 in decreasing order.
1145, -1, -2, -4, -5, -7
Put -1096, 2/13, 4, 12/175, -0.5 in increasing order.
-1096, -0.5, 12/175, 2/13, 4
Sort 2, 6, -4, -3, 22, 14 in ascending order.
-4, -3, 2, 6, 14, 22
Put -5, 2, -4, 5, 4, 10, -4485 in ascending order.
-4485, -5, -4, 2, 4, 5, 10
Sort -83, -1, 42621, -3, 3 in descending order.
42621, 3, -1, -3, -83
Put -43830, 89, 0, -1 in descending order.
89, 0, -1, -43830
Sort -0.2, 127661, 4/3, -5 in descending order.
127661, 4/3, -0.2, -5
Put -2, -49470465, -5, -3, 2 in decreasing order.
2, -2, -3, -5, -49470465
Sort 17, -14612, 4, -2.
-14612, -2, 4, 17
Put -6987, -34/9, -2, 2/17 in decreasing order.
2/17, -2, -34/9, -6987
Sort 2, 5, -136075376 in ascending order.
-136075376, 2, 5
Sort 3, 4, -187/2209, 3/7, 3/4 in descending order.
4, 3, 3/4, 3/7, -187/2209
Put -359, -0.07, -4, -1443 in ascending order.
-1443, -359, -4, -0.07
Put -488047, -0.5, 2.4 in decreasing order.
2.4, -0.5, -488047
Sort 65, 4/7, -0.5, -998/13 in ascending order.
-998/13, -0.5, 4/7, 65
Put 9, -4, -875 in descending order.
9, -4, -875
Sort 2/15, 629, -2408, 4.
-2408, 2/15, 4, 629
Sort 4, -4, 2, -526, 0, 48, -2.
-526, -4, -2, 0, 2, 4, 48
Put -2/7, 4, 28, -46, 46/47 in increasing order.
-46, -2/7, 46/47, 4, 28
Sort -415, 1, 28, -10, -22 in increasing order.
-415, -22, -10, 1, 28
Sort 108, 0.1, 83.3, 6/7 in ascending order.
0.1, 6/7, 83.3, 108
Sort -1, 4, -7, 1, 5038, -5 in descending order.
5038, 4, 1, -1, -5, -7
Sort 0.07, 69, 0, -101.13, -5.
-101.13, -5, 0, 0.07, 69
Sort 6798, 0.3, 108 in descending order.
6798, 108, 0.3
Put -2, -5, -72936, -8932 in ascending order.
-72936, -8932, -5, -2
Put -861, -33, -4, -0.1, -0.3 in decreasing order.
-0.1, -0.3, -4, -33, -861
Sort -216, 4, -30, -5401 in descending order.
4, -30, -216, -5401
Sort 1/144, -315.8, 16 in decreasing order.
16, 1/144, -315.8
Put -81, -10857, 2, -2, 4, -0.02 in decreasing order.
4, 2, -0.02, -2, -81, -10857
Sort 0.3, 4.7, 0.00338.
0.00338, 0.3, 4.7
Sort -184, 56, -285, -3, 0 in increasing order.
-285, -184, -3, 0, 56
Sort -21, -2, 0, -611, 26 in increasing order.
-611, -21, -2, 0, 26
Put 56, 1/5, 0.17863 in decreasing order.
56, 1/5, 0.17863
Sort 374, -1/6, -315, 2/11, -0.3, 2 in descending order.
374, 2, 2/11, -1/6, -0.3, -315
Put -4/85, 2, 1/2, 0.16, 479, 1 in decreasing order.
479, 2, 1, 1/2, 0.16, -4/85
Sort 0, -2, 13, -241, 2, 1/9.
-241, -2, 0, 1/9, 2, 13
Put -1909757, -5, 27 in ascending order.
-1909757, -5, 27
Sort 64, -6, 112541.
-6, 64, 112541
Sort -892, -0.1, -173, -2/5, -3, 2.
-892, -173, -3, -2/5, -0.1, 2
Sort -3, -4, -5393192 in ascending order.
-5393192, -4, -3
Sort -3, -1/271, -182, 23 in descending order.
23, -1/271, -3, -182
Put -4, 2/9, 0.2, -84, -1.104 in increasing order.
-84, -4, -1.104, 0.2, 2/9
Sort -5, 2/723, 0.1, -8/21 in ascending order.
-5, -8/21, 2/723, 0.1
Sort -1, 2, -1859, 5, -1088 in increasing order.
-1859, -1088, -1, 2, 5
Put 2910, -4, -5, -12587 in decreasing order.
2910, -4, -5, -12587
Sort 3143, 43, -1, 5, -4, 0 in ascending order.
-4, -1, 0, 5, 43, 3143
Sort -1790, 0.1, 0.23, -2 in ascending order.
-1790, -2, 0.1, 0.23
Put 160, 0, 13, 5, -4, -1, 19 in decreasing order.
160, 19, 13, 5, 0, -1, -4
Sort 1, 28, 29, -2, 4, -1, 6.
-2, -1, 1, 4, 6, 28, 29
Put 0, 14, 0.3, -32, 2/3, -2, 45.6 in decreasing order.
45.6, 14, 2/3, 0.3, 0, -2, -32
Sort 658, -1/2, -264 in decreasing order.
658, -1/2, -264
Put 28526, 0.002, 16 in increasing order.
0.002, 16, 28526
Put -4, 2, 1822, -1, 4258 in decreasing order.
4258, 1822, 2, -1, -4
Sort -5/3, -3, -14356, 0.1, 6 in descending order.
6, 0.1, -5/3, -3, -14356
Sort 5, 1035, 8, -3, 3 in descending order.
1035, 8, 5, 3, -3
Sort 5, -0.2, -100, 371, 1/5 in descending order.
371, 5, 1/5, -0.2, -100
Put -0.5, -161, -325, 7/5 in increasing order.
-325, -161, -0.5, 7/5
Put 13, -10.284479, 1/5, -1 in increasing order.
-10.284479, -1, 1/5, 13
Sort 8, 4, 55330, 2, 0.
0, 2, 4, 8, 55330
Put -13, -626, 9, 12, 1 in decreasing order.
12, 9, 1, -13, -626
Sort -4, 5, -14, -13, -8117.
-8117, -14, -13, -4, 5
Put -5, -2, 139539 in descending order.
139539, -2, -5
Put 1, -5, -119, 2, -124, -19 in descending order.
2, 1, -5, -19, -119, -124
Sort -196, 0, 2.1258, 12 in descending order.
12, 2.1258, 0, -196
Sort 2, -4, -1, 5, 8884.
-4, -1, 2, 5, 8884
Put -3, -1, 8, 11, 527, -15 in decreasing order.
527, 11, 8, -1, -3, -15
Put -13, 0.4, -183/140, 0.7, 6/5 in descending order.
6/5, 0.7, 0.4, -183/140, -13
Sort -0.044, -0.1, 0.02, 30, -6 in decreasing order.
30, 0.02, -0.044, -0.1, -6
Sort 2/13, 53, -25727, 3, 0.1, 1/5 in decreasing order.
53, 3, 1/5, 2/13, 0.1, -25727
Sort 1, -1, -1007, 6, -2, -211 in ascending order.
-1007, -211, -2, -1, 1, 6
Put 0, -146, 1, -1, 5, -17 in decreasing order.
5, 1, 0, -1, -17, -146
Sort -1483, -13.6, -4 in decreasing order.
-4, -13.6, -1483
Put -60541, 1, 5, 2 in descending order.
5, 2, 1, -60541
Put 0.16, -4.5, -2.8, -0.0948 in decreasing order.
0.16, -0.0948, -2.8, -4.5
Put 42, 0, -1, 78, 3, 5, 10 in increasing order.
-1, 0, 3, 5, 10, 42, 78
Sort -607, 2/15, 1535 in decreasing order.
1535, 2/15, -607
Put -3, -171, 3, -0.037, -0.5, 1 in decreasing order.
3, 1, -0.037, -0.5, -3, -171
Put -2, 54, 1, 514, 5 in ascending order.
-2, 1, 5, 54, 514
Put -132, -2, 82905 in decreasing order.
82905, -2, -132
Put 11733, -2, 164, -4, 5 in ascending order.
-4, -2, 5, 164, 11733
Sort 634, -11, 347 in decreasing order.
634, 347, -11
Sort 1, 5, -5, 1084, 69, -2.
-5, -2, 1, 5, 69, 1084
Put -2, 1, -9, 1272, 52 in decreasing order.
1272, 52, 1, -2, -9
Sort 5, -2, -3072, 0, -7.
-3072, -7, -2, 0, 5
Sort -65, -713, -94.
-713, -94, -65
Put -1513, 0, 4, -2, 3, -5 in increasing order.
-1513, -5, -2, 0, 3, 4
Sort 2.4, -3/2, -354, 3/7 in descending order.
2.4, 3/7, -3/2, -354
Sort 3078592, 2, 4 in increasing order.
2, 4, 3078592
Sort -1, 5, -2, -3, 0, -3873, 44.
-3873, -3, -2, -1, 0, 5, 44
Sort 3/5, 5, -1/3, 60/56689.
-1/3, 60/56689, 3/5, 5
Put 4, -0.2, 0.5, -1/19336, -37 in descending order.
4, 0.5, -1/19336, -0.2, -37
Put 0, 30, 26, -2, -4, 173 in descending order.
173, 30, 26, 0, -2, -4
Put 164, 16, -8, -5, -175, 2, 4 in decreasing order.
164, 16, 4, 2, -5, -8, -175
Sort -4, -18372, 1, 0, 109 in decreasing order.
109, 1, 0, -4, -18372
Put 4, 14, 5, -2147, -9, -2, -3 in descending order.
14, 5, 4, -2, -3, -9, -2147
Sort 0.062, -26/5, -102, 1 in descending order.
1, 0.062, -26/5, -102
Put 1687, 29, -15, -2, 3, 2 in decreasing order.
1687, 29, 3, 2, -2, -15
Sort -4, 10359, 4, 319 in increasing order.
-4, 4, 319, 10359
Put 2/9, -581, 31, -4 in descending order.
31, 2/9, -4, -581
Put 1.553, -3/7, 0.12, 174/35 in decreasing order.
174/35, 1.553, 0.12, -3/7
Sort 16, 1, 5, 2, 4, -8497, -2 in decreasing order.
16, 5, 4, 2, 1, -2, -8497
Sort -4, -94448, 1, -5, 0 in descending order.
1, 0, -4, -5, -94448
S | {
"pile_set_name": "DM Mathematics"
} |
**3 - 55*v**3. Calculate u(-10).
-1
Suppose -i - 5 = -8. Let d(w) = 11 - i*w - w - 5 + 7*w. Determine d(-7).
-15
Let h(r) = 2*r + 4. Suppose 3*n = -n - 4. Let k = -3 - n. Let x(c) = c - 1. Let u be x(k). Calculate h(u).
-2
Let d(c) be the third derivative of 0*c + 0 - 1/24*c**4 + 7*c**2 - 1/60*c**5 - 1/3*c**3. What is d(0)?
-2
Let z be 2 - (-1)/(-2 - -1). Let j(x) = x**2 + x. Let q be j(0). Let t(y) = 0*y**2 + 1 + q - y**2 - y. Determine t(z).
-1
Suppose -5*w + 24 = 2*z - w, -2*z + w + 19 = 0. Suppose 300*y + 221 = 317*y. Suppose -y*j + z = -11*j. Let h(p) = p**2 - 7*p. What is h(j)?
-10
Let v(b) = b**2 + 12*b - 7. Let r be v(-16). Suppose 4*d + 2*o - r = -3*o, 81 = 4*d - 3*o. Let i = d + -18. Let t(m) = -m**3 - m**2 + m + 7. Calculate t(i).
7
Let t(u) be the first derivative of -u**6/360 - 7*u**5/120 + 5*u**4/24 + 6*u**3 + 7. Let a(j) be the third derivative of t(j). What is a(-8)?
-3
Let r(c) = 9*c**2 - 2*c - 19. Let o(d) = -4*d**2 + 2*d + 10. Let n(u) = 7*o(u) + 3*r(u). What is n(9)?
4
Let h(v) = v - 3. Let o(f) = f + 9. Let n be o(-8). Suppose 9*w + 20 = 4*w. Let k = w - n. What is h(k)?
-8
Let t(m) = 11*m**2 - 15*m + 6. Let i(p) = -7*p**2 + 10*p - 4. Suppose -3*r = -d - r + 9, 12 = 2*d - r. Let c(h) = d*t(h) + 8*i(h). Calculate c(4).
2
Let i(w) be the second derivative of -1/3*w**3 - 3*w**2 + 0 - 9*w. Calculate i(-4).
2
Let t(k) = -5*k - 2*k + 9*k - 4*k - 6. Give t(5).
-16
Let r(d) = d**3 + 3 - 2*d**3 - 5*d**2 - 1. Suppose z = -3*c + 5*z - 25, -3*c - z = 5. What is r(c)?
-16
Suppose 9*a + 9*a = 54. Let r be (2 - (-2)/(-2)) + 3. Let v(d) = d**2 + r - a + 1 - 9*d - 1. Calculate v(9).
1
Let n(d) = -d - 1. Suppose 39*g - 38*g - 12 = 0. Let l(f) = -f**3 + 13*f**2 - 13*f + 14. Let c be l(g). Determine n(c).
-3
Let q(l) = 3*l + 5 + l + 14*l**2 + 1 - 13*l**2 - 5. What is q(-4)?
1
Let c = 273 + -273. Let q(j) = -j**3 + j**2 + j - 3. Give q(c).
-3
Suppose 0 = -2*l - l - 3. Let k(d) = -193 + 95 - 4*d + 3*d + 99 - 10*d. What is k(l)?
12
Let q = -462 - -469. Let h(d) = -3*d + 24. Determine h(q).
3
Let b(n) = -20*n + 108. Let a be b(6). Let i(f) = f**3 + 11*f**2 - 12*f + 4. What is i(a)?
4
Suppose 0 = 3*j - 3*j - 2*j. Let q(o) be the first derivative of 0*o**3 + 2 + o + 1/4*o**4 + 1/2*o**2. Calculate q(j).
1
Let t(l) = 2*l + 1. Let q = 15 - 15. Suppose 5*s + q*g + 16 = -4*g, 20 = 3*s - 5*g. Suppose 2*d + s*d - 2 = 0. Give t(d).
3
Suppose -r + 4 = -1. Let a(i) = 12*i**2 - 15*i + 9. Let m(j) = 5*j**2 - 7*j + 4. Let u(y) = 2*a(y) - 5*m(y). What is u(r)?
-2
Let r(u) be the first derivative of -30 + 5/2*u**2 + 1/4*u**4 - 4*u - u**3. Give r(3).
11
Let p = 234 - 149. Let h = p - 85. Let j(x) = x + 1. Determine j(h).
1
Let x(a) = 133*a**2 - 138*a**2 - a**3 + 2*a - 3 - 5*a + a. Determine x(-2).
-11
Let u(s) = s**2 - 10*s + 6. Let q be u(9). Let m be 1 + -3*4/q. Let c(p) = p**3 - 4*p**2 - 6*p. Determine c(m).
-5
Let l(x) = x**2 - 19*x + 58. Let z be l(4). Let b(r) be the first derivative of -4*r**3/3 - r**2 + 2. Calculate b(z).
-12
Let v be (1 + -2)*0/2. Let l(y) = -1 + v - 5*y**2 - y**3 + 2*y**2 + 3*y. Let x be (-8)/4*(-6)/(-4) + -1. Determine l(x).
3
Let o(x) = 2*x + 9. Let k = 251 + -257. Give o(k).
-3
Let k = -125 - -135. Let l(i) = 2*i**2 - 21*i - 1. Calculate l(k).
-11
Let k(p) = -11*p**2 + 3*p**2 + 8 + 7*p + 2 + p**3. Let s(t) = -8*t**2 + 41*t + 2. Let n be s(5). Determine k(n).
10
Let f(k) be the second derivative of k**4/12 + 2*k**3/3 + 5*k**2/2 - 103*k. Determine f(-2).
1
Let q(w) = w**2. Let h(j) = -7*j**2 + j - 2. Let r(d) = -h(d) - 6*q(d). Calculate r(3).
8
Let u(t) = -t**3 - 27*t**2 + t + 74. Let q(f) = 6*f**3 + 136*f**2 - 7*f - 371. Let i(o) = -2*q(o) - 11*u(o). What is i(25)?
3
Let u(t) be the third derivative of -1/120*t**6 + 1/12*t**5 - 5/6*t**3 - 1/12*t**4 - 24*t**2 + 0*t + 0. What is u(4)?
3
Let k = -3 - -16. Let i be (k - 12)/((-1)/(-5)). Let r(h) = -2*h**2 - h. Let y(z) = -4*z**2 - 3*z. Let n(v) = i*r(v) - 2*y(v). Determine n(-2).
-10
Let h(p) = 2*p**2 + p + 9. Let m(w) = 5*w**2 + 3*w + 26. Let d(u) = 8*h(u) - 3*m(u). Determine d(4).
6
Let h(s) = -s**2 - 6*s + 1. Let v be ((-9)/(-3))/((-3)/14). Let i = v + 13. Let r be i*1 + 7 + -9. What is h(r)?
10
Let z(o) = -o**2 - 3*o - 1. Let f(i) = 2*i**2 + 7*i + 2. Let p(c) = -6*f(c) - 13*z(c). Let m = 10 - 7. Let q be p(m). Let d(g) = g + 1. Calculate d(q).
2
Let n be (-171)/(-18) + ((-5)/2)/(-5). Suppose 12 = -4*i + 4*z, -z = 3*i - 5*z + n. Let y(h) = h**2 + 4*h - h - 5*h - 3. Calculate y(i).
5
Let h(j) = -j**3 + 8. Let b be h(0). Let p(c) = 0*c**2 + 2*c + 10 - 5*c - c**2 - 1 + 9*c. Calculate p(b).
-7
Suppose 12 - 8 = 2*p. Suppose -2*l + 0*l + 4 = 0. Let a(y) = -6*y**l + 2*y**2 - y**3 - 4*y - y**2 - 1 + p. Determine a(-4).
1
Suppose -32*y - 8 = -36*y. Let n(t) = -4*t**3 - t**2 + t - 2. Determine n(y).
-36
Let k(t) be the third derivative of -5/3*t**3 - 10*t**2 + 0 + 1/120*t**5 + 0*t**4 + 0*t. Let v(q) be the first derivative of k(q). Calculate v(0).
0
Let l(j) = j**3 - 3*j**2 - 4*j + 1. Suppose 3*s + 124 = -s - 4*c, 5*s + 183 = 2*c. Let i = s - -38. Give l(i).
-11
Let h(i) be the third derivative of i**6/120 - i**5/60 - i**4/24 + i**3/6 - 14*i**2 + 4. What is h(0)?
1
Let i(y) be the third derivative of y**6/720 - y**5/30 - y**4/4 + 11*y**2. Let g(k) be the second derivative of i(k). Determine g(6).
2
Let x be (1 + -1)/(2/(-1)). Let s be x/2 + -4 + 3. Let w = -6 - s. Let y(g) = -g**3 - 5*g**2 - 2*g - 7. Give y(w).
3
Let q(v) be the third derivative of -v**5/60 + v**4/24 + v**3/6 + v**2. Let w be ((-2)/(-7) - 0) + 5/(1260/(-72)). Give q(w).
1
Let u = 15 + -10. Let v(r) = -3*r + u + 4*r - 3. Let j(p) = p**2 - 166*p + 1109. Let a be j(7). Determine v(a).
-2
Let c(u) = 3*u**2 - 2*u - 3. Let v(q) = 1 + 13*q**2 + 14 + q - 26 - 8*q. Suppose 3*w = -10 - 17. Let a(g) = w*c(g) + 2*v(g). Calculate a(5).
0
Suppose -10*h = -3 - 27. Let a(c) = 6*c - 16 + 6 + 8 - 2*c. Calculate a(h).
10
Suppose 0 = -0*p - 3*p. Let s(a) be the first derivative of a**2/2 - 6*a - 8. Determine s(p).
-6
Let b(j) = j - 1. Suppose -72 = 5*l + 58. Let r be 2 - (-4)/(-8)*l. Suppose -m = f, -r = -f + 3*m - 7*m. Determine b(f).
-6
Suppose 3*n + 3*l = 147 - 12, n - 25 = 3*l. Let z(d) = 83*d - n*d - 37*d - 2. Calculate z(-2).
-14
Suppose -z + 2*z = 2*a + 12, 3*z = -a + 8. Let c(h) = 5*h - 6*h - z + h**3 + 10*h**2 - 13*h**2. Give c(4).
8
Let m(p) = -p - 2 - 2 + 2 + 0*p. Let x be 5/1*(-1 - 0). Let l be 2/x + 10/25. Calculate m(l).
-2
Let b(h) = -2*h + 3. Let g(j) = j - 7. Let c be g(9). Suppose 4*r + c = -14. Let t = r + 7. Determine b(t).
-3
Let m(z) = z**3 - 177 + 3*z + 178 - 4*z + 5*z**2. Give m(-5).
6
Let o(p) = -p**2 - p - 1. Let s(m) = -5*m**2 - 4*m - 8. Let a(d) = -4*o(d) + s(d). Let i(c) = -2*c**2 - 87*c - 126. Let n be i(-42). Determine a(n).
-4
Let c be 4/2 + 0/(-1). Let s(g) be the second derivative of g**4/12 - 4*g**3/3 + 4*g**2 + 29*g. Let k(z) = 1. Let p(i) = c*k(i) - s(i). Calculate p(5).
9
Let j(c) = 2*c - 32. Let a be j(17). Let m(o) = -a*o + 2 - o + 0 + o. Let w = -11 - -16. Calculate m(w).
-8
Let r be ((-6 + 1)*1)/(45/(-54)). Let h(d) be the first derivative of -r - 4*d - 1/2*d**2. Calculate h(-4).
0
Let h be (-6)/(-9) + (-28)/(-3). Suppose p - 4*v = h, -p + 7 = -4*v + v. Let w(t) be the second derivative of t**5/20 - t**4/12 - t**3/3 + 285*t. Give w(p).
-8
Let o(d) = 2*d + 3. Suppose 2*j - 15 + 9 = 0. Let i(h) = 3*h + 7. Let x(g) = j*i(g) - 7*o(g). Calculate x(3).
-15
Let b(q) = q. Suppose 87*p - 4 = 85*p. Let y(g) = -3*g. Let s(w) = p*y(w) + 4*b(w). Calculate s(1).
-2
Let p be (3 - 0) + 0 + -1. Let s(d) be the first derivative of -4*d + 0 + p*d**2 - 3*d - d + 2. What is s(6)?
16
Let r be 3 - (-4 + 20/4). Suppose 2*a = -r*a. Let p(l) be the third derivative of -l**5/60 - 7*l**3/6 - 2*l**2. What is p(a)?
-7
Let j be (-685)/411 + (-14)/(-3). Let t(d) = -2*d + 2. Let z(g) = 5*g - 5. Let f(o) = -14*t(o) - 6*z(o). Give f(j).
-4
Suppose 3*g - g = -4. Let n(h) = h**2 - 5*h. Let m(w) = 21 - w**2 + w - 22 + 0*w**2. Let j(z) = 2*m(z) + n(z). Calculate j(g).
0
Let i = -4 - -1. Let k = i - -6. Let r(v) = -24*v + 5 + 23*v - 1 - k. Give r(-4).
5
Let w(h) = -h**2 + 15*h - 18. Suppose 0 = 7*s - 445 + 361. What is w(s)?
18
Let z(w) = 7*w + 96 - 183 + 89. Give z(-5).
-33
Let u(a) = a**2 - 11*a - 13. Suppose 2 = b - 5*c - 0, 4*b = 5*c + 38 | {
"pile_set_name": "DM Mathematics"
} |
-6)/22).
-11
What is ((-1)/(-9))/(45*54/21870)?
1
Calculate (1/4)/((-3)/(-24)*336/(-28)).
-1/6
What is the value of (-875)/840*8*6/(-10)?
5
What is the value of (8/(-504)*-18)/(-1)?
-2/7
((9639/(-630))/(2*6/20))/(-6)
17/4
What is the value of (600/240*4/75)/((-4)/42)?
-7/5
Evaluate ((-175)/(-4))/(-7)*(-100)/(-500).
-5/4
Calculate (7/(-4))/(130/40)*60/70.
-6/13
What is the value of (-12180)/(-53592)*-1*8/(-5)?
4/11
Evaluate ((-6)/8)/((-66)/(-17600)*-20).
10
Calculate (-1863)/414*(-8)/(-12).
-3
Evaluate ((58/(-4930))/(15/75))/(2/(-8)).
4/17
-8*(-13)/((-78)/9)
-12
Evaluate ((-455)/315)/(52/(-48)).
4/3
What is (-10)/14*(-32)/80?
2/7
Calculate 18*(-1)/(-3)*342/(-76).
-27
Evaluate 5317/(-409)*3/3.
-13
Evaluate ((-25)/(-5))/((15*(-7)/399)/(-1)).
19
What is ((12*(-24)/(-63))/1)/(1674/5859)?
16
What is the value of 11/(-396)*-27*21/21?
3/4
What is 8/(-60)*60/8?
-1
What is the value of -10*((-14)/12)/((-133)/(-285)*-5)?
-5
What is the value of (-6)/304*-4*(-41)/((-123)/(-2))?
-1/19
Evaluate (9/46)/3*10728/(-4023).
-4/23
(-532)/(-114)*60/35
8
Calculate (-1)/2*6/(-57)*-19*17.
-17
What is (35/(-14))/(28/280)?
-25
(5/(45/6))/(((-1460)/(-30))/2)
2/73
((-14)/(-7))/((80/10)/16)
4
Evaluate 28/(-2128)*-95*-2*(-4)/6.
5/3
((-411)/(-137))/(2*10/(-4))
-3/5
Evaluate ((4/10)/(-1))/((-40)/73600*-46).
-16
Calculate (-1372)/(-1078)*(-55)/15*6/4.
-7
What is the value of ((266/(-112))/(-19))/((-2)/(-8))?
1/2
What is (-12)/8*((-8)/(-54))/(4/6)?
-1/3
What is the value of (-15)/(-135)*3*25?
25/3
Calculate -1*3/(-3)*20/(1320/18).
3/11
Calculate (14/14*3)/((-3)/9).
-9
What is the value of ((2/25)/(1/5))/(526/(-17095))?
-13
(1/(-15))/((-43)/645)
1
What is the value of ((-2568)/2247)/(2/14)?
-8
6*(-13)/78*(-20)/630
2/63
What is (18/88)/((-3)/(6*(-80)/(-30)))?
-12/11
What is the value of ((-5040)/(-1050))/((-4)/10)?
-12
What is the value of (18/108)/((-2)/6)*(-42)/105?
1/5
What is -6*4*(-4)/(-36)*75/(-20)?
10
169/(-1352)*(1/2)/(3/(-6))
1/8
((-36)/12)/((-6)/(-120)*4)
-15
(4*4/168)/((-3)/14)
-4/9
((-672)/(-1960))/(-1*5/70)
-24/5
(204/1020*-1*1)/(2/(-25))
5/2
(-8)/3*(-60)/(-20)*(-2)/2
8
Calculate (90/(-18))/(5/35)*-1*1.
35
Calculate (-4)/(((-2)/7)/((-16)/28)).
-8
What is 147/63*1/7?
1/3
What is 14/(-4)*(-1)/((-252)/(-432))?
6
What is the value of (7/(-14))/(12/4)*24?
-4
Evaluate (-50)/250*(-10)/43.
2/43
What is the value of 78/(-676)*(-16)/(-3)*(-1)/4?
2/13
107/107*2/(-6)*2/(-2)
1/3
What is the value of ((-48)/108)/(672/(-1764))?
7/6
Calculate 20/(-45)*(-675)/(-30).
-10
(-50)/125*(-3)/((-99)/(-5))
2/33
Calculate ((-4)/24)/(1/(-3))*144/(-126).
-4/7
(254/(-23114))/(2/(-14))
1/13
Evaluate ((-6)/((-6)/5))/((-6)/(-6)).
5
What is ((-27)/(-3))/(45/(-3)*-1)*1?
3/5
What is ((-4)/(-245))/((-56)/700*(-35)/7)?
2/49
Calculate 6/(-42)*8*147/(-462).
4/11
What is the value of 1/1*7*(-36)/84?
-3
What is (-10*13/(-39))/((-3)/((-3)/2))?
5/3
((-650)/(-40))/65*8/6
1/3
What is 16/(-24)*9/(-42)?
1/7
What is (-72)/3*308/462?
-16
What is (-44)/88*30/(-3)?
5
(-14)/(-14)*(-12)/6
-2
What is the value of ((-54)/(-3))/36*16/34?
4/17
What is 8*115/368*-2?
-5
Evaluate (0/102)/(2/1).
0
What is (6/(-32)*-2)/(411/(-548))?
-1/2
Evaluate ((-112)/32)/(2*(-6)/24).
7
Calculate ((-7)/((-70)/36))/(71/(140225/237)).
30
Calculate ((-11)/((-286)/(-91)))/((-1)/(-1)).
-7/2
What is 1*2/(118/(-767)*(-2)/2)?
13
What is (-10)/(-60)*-3*378/(63/(-7))?
21
Evaluate 14*(42/(-385))/((-133)/(-95)).
-12/11
(-10)/4*((-13)/39)/((-20)/12)
-1/2
Evaluate 812/11368*((-2)/(-27))/(1/6).
2/63
(156/819)/(((-18)/(-8))/((-21)/(-8)))
2/9
What is the value of 70*55/(-165)*12/14?
-20
Calculate ((-32)/(-40))/(88/55).
1/2
What is the value of (-17*162/1836)/(-6*(-1)/(-92))?
23
Calculate (-3)/1*(-215)/(-258).
-5/2
(-5)/(285/38)*39
-26
((-418)/38)/22*(20*2)/(-1)
20
What is the value of 32/14*(-4)/(-6)*3003/572?
8
Evaluate (-60)/(-300)*(-3)/6*-30.
3
Calculate ((-168930)/24401)/(6/(-26)).
30
Calculate ((-10)/(-20))/((-1)/2)*-11.
11
Calculate -4*6*5/(-120).
1
6/3*9/((-270)/(-2))
2/15
What is ((-3857)/(-6061))/((-2)/(-22))?
7
What is (-4)/(-8)*-1*(-56)/(-252)?
-1/9
What is (15*(-1)/(-4))/((-1340)/5360)?
-15
Calculate (75/(-1175))/(242/88*(-6)/11).
2/47
(-6)/136*1*16/132*-11
1/17
(-2)/(-1)*((-1050)/25)/42
-2
Calculate (4/1)/(-2)*-37*(-28)/6734.
-4/13
What is the value of (-9)/95*930/558?
-3/19
What is ((-10)/7)/(735/(-1029))?
2
What is the value of (-1)/((-14)/378*(-1)/(-1))?
27
What is -18*3*(-1)/5*31450/(-9435)?
-36
What is the value of ((-456)/(-532)*21/99)/((-2)/4)?
-4/11
1*-9*(-644)/(-966)
-6
Evaluate (((-324)/(-405))/((-28)/10))/(36/(-6)).
1/21
((-103)/((-36256)/(-320)))/(8/22)
-5/2
What is (-215)/129*(-465)/(-25)?
-31
390/(-2730)*(-7)/11
1/11
What is (42/70)/((18/4)/3)?
2/5
Evaluate ((-364)/208)/(4/16).
-7
What is -6*12/(-32)*(-65)/(-1170)?
1/8
Calculate 112/(-128)*(-106)/371.
1/4
Evaluate 14/(-60)*70*(-6)/(-7).
-14
What is 1*(-15)/(-30)*(320/(-15))/4?
-8/3
Evaluate (-208)/26*15/4*18/81.
-20/3
What is the value of (-14)/49*-3*70/(30/(-15))?
-30
Calculate ((-6)/2)/(2*(-7)/28).
6
Calculate 5880/1372*(-28)/6.
-20
What is the value of (20/(-6)*1)/(26/(6864/(-220)))?
4
Evaluate 3/(-3)*(-86)/(-946).
-1/11
What is the value of -6*-3*(124/(-465))/(6/(-10))?
8
What is the value of (22/(-8))/(176/(-64))?
1
(-381)/(-254)*((-96)/9)/(-4)
4
Evaluate (-1260)/(-168)*(-66)/(-45).
11
((-4)/(-7))/((-1500)/(-3150))
6/5
Calculate 70*35/1960*6/35.
3/14
8/((-9)/((-63)/(-14))*7/7)
-4
What is the value of ((-88)/32)/(3/(-12))?
11
Evaluate 8/(-5)*1620/(-432).
6
Calculate -12*((-15)/6)/(9*2/(-9)).
-15
Calculate 44/((-5)/(-25*(-6)/120)).
-11
What is (-26)/(-117)*15/34*12/10?
2/17
(-5*1/(-4))/((-351)/8424)
-30
What is the value of (-10)/2*(2/(-10))/((-4)/(-28))?
7
What is the value of (6/13)/(-5*27/(-5265))?
18
What is (-22*34/(-187))/((-6)/15)?
-10
What is the value of ((-6)/28)/((-297)/693)*0?
0
Evaluate (-57)/(-38)*(-34)/1*6/18.
-17
What is the value of (((-24)/(-135))/((-30)/75))/(-2)?
2/9
Calculate 283/(-566)*3*(-39)/(-9).
-13/2
Calculate 2/(-4)*-1*(4921/76)/37.
7/8
Evaluate 8/5*495*8/288.
22
Calculate (4/(-42)*-7)/(9*28/(-4914)).
-13
Evaluate (-125)/(-800)*16*16/(-2).
-20
What is ((-16)/112)/(((-117)/1547)/(-9))?
-17
Evaluate (3*2/(-30))/(30/210).
-7/5
((-60)/300)/((-4)/360*3)
6
(37/(1776/45))/(15/10)
5/8
What is 39/((-8619)/(-26))*1*3/(-3)?
-2/17
((-69)/138)/((-2)/56)
14
What is the value of (6/3)/((48/30)/((-946)/(-215)))?
11/2
Evaluate (1/1*-6)/((-24)/((-48)/6)).
-2
(-12100)/(-1100)*5*(-1)/11
-5
What is (-4)/(-2)*(-8)/((-576)/900)?
25
What is (4/(-8))/((-14)/476)?
17
Calculate ((-168)/60*(-2)/14)/(2/(-4)).
-4/5
(-60)/(-2)*(-9)/189*-14
20
What is the value of (1710/76)/(-3)*1/12?
-5/8
Calculate (6/(-4)*16/60)/(1/(-20)).
8
Calculate ((-15)/(-12))/(-1)*-13*184/(-598).
-5
Calculate ((-28)/(-7))/(5/(-20)*-10*-1).
-8/5
What is the value of ((-16)/(-3))/(30/(-45))?
-8
Evaluate (48/15)/((-4)/((-12)/(-3))).
-16/5
Evaluate (-4)/(-50)*((-17)/(34/(-20)))/(-6).
-2/15
Evaluate (6/130)/((-96)/(-208)).
1/10
What is (-56)/(-63)*3*(-5)/60?
-2/9
(13/20)/(571/11420)
13
Calculate (21/18*117/(-182))/(189/(-144)).
4/7
What is the value of (-2)/15*(-150)/140*105/50?
3/10
What is the value of ((-7)/56*4)/((-9)/(-36))?
-2
What is the value of 2*((-110)/3630)/(1/18)?
-12/11
Calculate (((-19)/76)/(10/(-24)))/((-4)/(-2)).
3/10
Calculate (1/20)/((-142)/(-568)).
1/5
(((-81)/(-84))/(-9))/((-14)/((-1232)/(-198)))
1/21
What is ((-5)/((-9)/450*-5))/2?
-25
Calculate 16282/1163*(-11)/(-7).
22
Evaluate ((-12)/(-2))/(-1)*(-240)/(-480).
-3
What is the value of (((-24)/54)/((-16)/60))/((-7)/(-7))?
5/3
Evaluate (60/(-16))/((-620)/(-2976)).
-18
What is the value of (-63)/(33264/32)*-9*3?
18/11
What is 1/(-33)*(-1209)/806?
1/22
Evaluate (8/21)/(6840/(-2565)).
-1/7
What is -2*2/52*(-31)/((-1488)/144)?
-3/13
Evaluate 12/29*(-270)/1620.
-2/29
Calculate (416/(-104))/((12/152)/(-3)*4).
38
What is (-1)/((-4)/(-28))*-3?
21
What is the value of (156/9)/(90/(-15)*(-19)/171)?
26
Evaluate (-22*(-42)/(-1617))/(1/(-14)).
8
(10*18/720)/(8/4)
1/8
Calculate (((-2)/4)/(1/3))/(235/(-3290)).
21
Evaluate (7/35*-1*6)/((-396)/2640).
8
What is the value of (-67)/804*24/2*17/1?
-17
(-110)/3135*19*-2*24
32
What is the value of (-84)/(168/8)*3/4?
-3
What is (34/340*-65)/(-26)?
1/4
What is the value of (-14)/78*7668/(-4473)?
4/13
Evaluate 184 | {
"pile_set_name": "DM Mathematics"
} |
/(-9). Let s = -346568 + b. Round s to the nearest one million.
0
Let o = -247.2 + 5.2. Let m = o + 242.0302. Round m to 3 decimal places.
0.03
Let x = 21947.57 + -22056. Let y = x + 109. Round y to 1 decimal place.
0.6
Let o = -4989 - -8694. Let d be 40/1*o/(-26). Round d to the nearest 1000.
-6000
Let p = 654.5 + -654.499996991. Round p to seven dps.
0.000003
Let w = -480.903440472 + 481.81344. Let y = w - 0.91. Round y to 7 dps.
-0.0000005
Suppose 5*v - t - 1200246 = 3*v, 3*v + 3*t - 1800351 = 0. Let m = 1183121 - v. What is m rounded to the nearest ten thousand?
580000
Suppose -5*i + 285 = -3*a, 3*i - 462 = 5*a - i. Let d = a - -227. Round d to the nearest 10.
140
Let m = -0.02 + -22.48. Let o = 28 + m. Let w = 5.49999947 - o. Round w to 7 decimal places.
-0.0000005
Let x be (-1)/(2*(-5)/(-41530)). Let l = x + 2903. What is l rounded to the nearest one hundred?
-1300
Let k(s) = -2738*s + 56. Let t be k(-3). What is t rounded to the nearest one thousand?
8000
Let d = -675.86322 + 0.06322. Let b = 96.8 + d. Let s = b - -579.247. What is s rounded to two decimal places?
0.25
Let m = -43 - -21. Let n = -1028 + m. Let f be n*6*(-4)/4. What is f rounded to the nearest 1000?
6000
Let d = 18548.602 - 18567. Let z = -18.6 - d. What is z rounded to one decimal place?
-0.2
Let u = 8.4 - 10. Let h = u - -1.9. What is h rounded to 0 dps?
0
Let a = -345.2 + 345.1993252. Round a to 4 decimal places.
-0.0007
Let m = -0.6974 + -2.4496. Round m to one decimal place.
-3.1
Let r be 2/7 + 54/7. Let s be (-281985)/(-6) + 20/r. What is s rounded to the nearest 10000?
50000
Let l = -0.037 + 50.037. Let m = -49.9904 + l. What is m rounded to three dps?
0.01
Let g = 665 - 681.28. Let u = 4.76 - g. Let l = u - 22. What is l rounded to 1 dp?
-1
Let i = -31135006.94999715 - -31135006. Let q = 0.95 + i. Round q to seven dps.
0.0000029
Let y = -298.7111 + 299. Round y to two decimal places.
0.29
Let m(s) = 13*s**3 - 13*s**2 + s + 2. Let o be m(-11). Let r = -149115 + o. What is r rounded to the nearest ten thousand?
-170000
Let y be 240/(-100)*5/(-2). Suppose y*p = p - 565. What is p rounded to the nearest 10?
-110
Let y = 207 + -206.99904. Round y to 4 decimal places.
0.001
Let o = -11861.0700192 - -11861. Let z = o - -0.07. Round z to 5 dps.
-0.00002
Let f = -6837.49 + 6776. Round f to the nearest ten.
-60
Let k = 376 - 376.08368. Round k to two decimal places.
-0.08
Let h = -115.939 - -116. Let k = -0.03 + h. Round k to two dps.
0.03
Let h = 211 - 214.6. Let u = 7.25 - 10.8475. Let j = h - u. What is j rounded to 3 dps?
-0.003
Let d be 3034*((-9)/18 + -1). Round d to the nearest 1000.
-5000
Let v be ((-18)/(-8))/(4/(-32)). Let j be ((-10)/(-45))/((-2)/v). Let z be j/(-4) + 13199999/(-2). Round z to the nearest one million.
-7000000
Let j(f) = -4*f**2 - f + 16. Let v(q) = 4*q**2 + 2*q - 15. Let p(m) = 2*j(m) + 3*v(m). Let a be p(-6). What is a rounded to the nearest ten?
110
Let r be ((-1773)/(-12)*-1)/(15/(-1200)). Round r to the nearest 1000.
12000
Let t = -71.71675284 - 7.28328456. Let w = t - -79. Round w to 6 decimal places.
-0.000037
Let g = 14 - -39. Let i = -53.5921824 - -0.5921284. Let w = g + i. What is w rounded to 5 decimal places?
-0.00005
Suppose 509 = -4*p - 2423. Let g = p - -1473. What is g rounded to the nearest 100?
700
Let y = -1.74 + 12.64. Let t = y - 10.9049. What is t rounded to three decimal places?
-0.005
Let p = -0.3800076 - 37.6200124. Let c = p - -38. What is c rounded to five decimal places?
-0.00002
Suppose -2*k - 3*l + 6 = -2*l, -l = 5*k - 18. Let o be 2/k + (-3260)/(-8). Let q = o + -8708. What is q rounded to the nearest one thousand?
-8000
Let y(w) be the third derivative of 907*w**4/4 + 11*w**3/3 + 16*w**2. Let g be y(9). Round g to the nearest 10000.
50000
Let v = 10562.3 - 9692. What is v rounded to the nearest one hundred?
900
Let n = 38.00000051 - 38. What is n rounded to 6 decimal places?
0.000001
Let p = 104.98 + -4.26. Let w = 100.87 - 1.87. Let u = w - p. What is u rounded to one decimal place?
-1.7
Let s(q) = q**3 + 24*q**2 - 112*q - 20. Let x be s(-28). Round x to the nearest one hundred.
0
Let d = 3.60755 - 3.5335618. Let l = d - 0.074. What is l rounded to six decimal places?
-0.000012
Let j = -538189 + 538184.999992. Let o = -1 + -3. Let d = o - j. Round d to five dps.
0.00001
Let h = 496 + -498.6. Let c = 20463.39905 + -20466. Let j = c - h. What is j rounded to four decimal places?
-0.001
Let s = -4241 + 4240.9976815. What is s rounded to five dps?
-0.00232
Let f = 2957327 - 4865327. Round f to the nearest one hundred thousand.
-1900000
Let r = 2.396 + 7.674. Round r to one decimal place.
10.1
Let m be (-7)/((-7)/(-2)) + 7. Suppose 0 = -m*h + 7*h - 500000. Round h to the nearest one hundred thousand.
300000
Let x = 0.3004 - 0.1494. What is x rounded to 0 decimal places?
0
Let f = -11.660000571 - -11.66. What is f rounded to seven decimal places?
-0.0000006
Let y(j) = -j - 3. Let h be y(-6). Suppose -2*x + v - 21309 = 3*x, h*x + 5*v + 12791 = 0. Let i = x + -1738. What is i rounded to the nearest ten thousand?
-10000
Let n = 209 - 207.91. Let s = n + 6.01. Let o = s - 7.099949. What is o rounded to 5 dps?
0.00005
Let b = 47.992 + -47. Let z = b + -1. What is z rounded to two dps?
-0.01
Let v = -1345 + 1344.995315. Round v to four decimal places.
-0.0047
Let j = 461544441.99999795 + -461544454. Let w = j + 12. Round w to seven decimal places.
-0.0000021
Suppose n + n + 3*z = 2, -2*z = -2*n - 18. Let l = -2 - n. Let x(t) = -157*t**3 + 4*t**2 + t. Let k be x(l). What is k rounded to the nearest 1000?
-4000
Let s = -7886 + 7872.732. Round s to the nearest integer.
-13
Let g = 47.6 - 51.29. Let i = g - -3.8. Round i to one dp.
0.1
Suppose g - 3593 = -4*f, f + 10844 = 3*g - 0*f. Let u = g - 713. What is u rounded to the nearest 1000?
3000
Let a = -578.689944 - -579.03. Let c = -0.34 + a. What is c rounded to four decimal places?
0.0001
Let u = 845.1 + -810. Let t = -33 + u. Let f = t + 1.3. What is f rounded to 0 dps?
3
Let f = -14.089594 + 6.08969. Let v = f + 8. What is v rounded to five decimal places?
0.0001
Let d = 5 - -1. Suppose -4*y - 4*o - 940 = 0, -y - 4*o + 10 = 254. Let h be (-1875)/d*y*8. What is h rounded to the nearest one hundred thousand?
600000
Let c = 0.1416657 - 0.14252. What is c rounded to five dps?
-0.00085
Let x(u) = -464443*u - 101. Let s be x(-7). Round s to the nearest one hundred thousand.
3300000
Let k = -12629.73 + 12578. What is k rounded to the nearest ten?
-50
Let y = 2170 + -2179.86. What is y rounded to the nearest 10?
-10
Let o = -3 + 0. Let l(h) = 8*h - 8*h - 3*h - 281*h**3 - h + 1. Let d be l(o). Round d to the nearest one thousand.
8000
Let n = -0.365208764 - -25.365217064. Let y = 25 - n. Round y to six dps.
-0.000008
Let k = -88.4403 + 899483.4403. Let s = k + -899394.6499924. Let t = s + -0.35. Round t to six decimal places.
0.000008
Let b = -36.6 - -33. Let z = b - 0. Let p = 3.6232 + z. Round p to 3 decimal places.
0.023
Let l = 13285.9 + -14683.84. Let x = -1403.93938 - l. Let y = -6 - x. What is y rounded to 4 decimal places?
-0.0006
Let q(l) = -2127572*l - 576. Let k be q(-8). Round k to the nearest 1000000.
17000000
Suppose 0 = 3*t, -3 = -s - 0*t - t. Let w = s - -1. Suppose 6*r = 2*g + 3*r - 66, -r - w = 0. What is g rounded to the nearest ten?
30
Let c = -684.999358 - -685. What is c rounded to 4 decimal places?
0.0006
Let n = 41513 + -41516.99992. Let r = n + 4. What is r rounded to four decimal places?
0.0001
Let a = -23.456 - -23.2. What is a rounded to two decimal places?
-0.26
Suppose 2*j - 4472 = -2*j - 2*c, -2*c - 3347 = -3*j. Let k = j + -484. Let l = k + -1133. What is l rounded to the nearest 100?
-500
Let z = -31646170 - -20005084. Let c = -11641085.70000036 - z. Let n = c - 0.3. What is n rounded to 7 dps?
-0.0000004
Let j = 166006 - 166005.8900455. Let v = j + -0.11. Round v to 5 decimal places.
-0.00005
Let i = 91.9234 + -92. What is i rounded to two dps?
-0.08
Let u = 1552 + 4278. What is u rounded to the nearest 100?
5800
Let h = -2 - -2.06. Let n = 331 - 331.05928. Let a = h + n. What is a rounded to four dps?
0.0007
Let g = -56.12 - -1.12. Let k = 55.72 + g. Round k to 1 decimal place.
0.7
Let v(t) = 284385*t + 5. Let p be v(-3). Let h = p + 393150. Rou | {
"pile_set_name": "DM Mathematics"
} |
ify 6*((sqrt(68) - (-5 + (sqrt(68) - (1*sqrt(68))**2))) + sqrt(68)).
12*sqrt(17) + 438
Simplify (((sqrt(68) - (sqrt(68) - 1*sqrt(68)))/sqrt(4))**2 - sqrt(17)) + 1*sqrt(2057).
17 + 10*sqrt(17)
Simplify sqrt(19) + sqrt(171) + 0 + sqrt(19) - sqrt(76)/(sqrt(4)*1).
4*sqrt(19)
Simplify (sqrt(320) + 2*sqrt(320))/(-3*(sqrt(4) - sqrt(4)*-1)).
-2*sqrt(5)
Simplify (sqrt(7) - sqrt(42)/sqrt(6)) + 3 - (sqrt(70)/(sqrt(40) - sqrt(10)) - sqrt(7) - sqrt(7))**2.
-4
Simplify (sqrt(10)/(1*sqrt(2)))**2 + (sqrt(720))**2.
725
Simplify sqrt(768) + (4 + sqrt(6)/sqrt(2))**2.
19 + 24*sqrt(3)
Simplify 4 + -4 + -4 + (sqrt(20) + sqrt(5))**2.
41
Simplify (-5*1*sqrt(91))/(sqrt(7) - (sqrt(35)/(sqrt(15)/sqrt(3)) - sqrt(7))).
-5*sqrt(13)
Simplify (sqrt(119)*-2)/sqrt(7) - ((-1 + sqrt(17))**2 + -3).
-15
Simplify -2*sqrt(343)*-2*-1.
-28*sqrt(7)
Simplify (6*(1 + sqrt(432) + sqrt(432)) - (4 + -1*sqrt(432)))**2.
624*sqrt(3) + 73012
Simplify -2 + -2*sqrt(5) - (sqrt(5) - (sqrt(605) + 1)**2).
19*sqrt(5) + 604
Simplify ((sqrt(3) - (sqrt(192)/sqrt(4) - sqrt(3))) + sqrt(3) + (sqrt(3) + 0 + sqrt(3) + 2 + sqrt(3) + sqrt(3) - sqrt(3)))**2.
8*sqrt(3) + 16
Simplify ((sqrt(11) - sqrt(44)) + 0 + 1)*-1.
-1 + sqrt(11)
Simplify ((sqrt(100)*-2)/sqrt(5))/((sqrt(30) + sqrt(270) + sqrt(30) + sqrt(30))/sqrt(3)).
-sqrt(2)/3
Simplify -4 + sqrt(13) + (sqrt(117) - sqrt(13)) - sqrt(156)/sqrt(48).
-4 + 5*sqrt(13)/2
Simplify 5*1*(sqrt(18) + -1) + -2.
-7 + 15*sqrt(2)
Simplify sqrt(21)/sqrt(3)*5 - ((sqrt(112))**2 + -1).
-111 + 5*sqrt(7)
Simplify (sqrt(25)/sqrt(5))**2*-5*-6*6.
900
Simplify (sqrt(189) + (sqrt(189) - ((1*sqrt(189) - sqrt(189)) + sqrt(189))) + sqrt(189) + sqrt(189))/(-5*-2*sqrt(7)).
9*sqrt(3)/10
Simplify (sqrt(108)*5)/(sqrt(288)/sqrt(3)).
15*sqrt(2)/4
Simplify ((3*sqrt(55))/sqrt(11) + -1)**2 + -4.
-6*sqrt(5) + 42
Simplify (sqrt(22)/sqrt(18) - sqrt(11)) + sqrt(11) + (6*sqrt(22)/sqrt(2))**2.
sqrt(11)/3 + 396
Simplify (2 + 0 + sqrt(3) + -4)**2 - 1*(0 + sqrt(432)).
-16*sqrt(3) + 7
Simplify 1*(sqrt(637)*-5 + -1).
-35*sqrt(13) - 1
Simplify 3*(sqrt(36)/sqrt(192))**2*-5.
-45/16
Simplify 2 + sqrt(68)/(sqrt(64) + sqrt(4)) + -4.
-2 + sqrt(17)/5
Simplify ((sqrt(152) + 2*sqrt(152) + sqrt(38))/(sqrt(16)/(-2*sqrt(8)) - sqrt(2)))**2.
3724/9
Simplify (sqrt(153) - sqrt(153)*1)/sqrt(9) + (4*sqrt(34))/sqrt(2).
4*sqrt(17)
Simplify ((-2*sqrt(640) - sqrt(10))/(sqrt(2) - sqrt(8)/sqrt(4)*3))**2 + -1.
1441/4
Simplify -2 + sqrt(2) + sqrt(16)/(sqrt(24)/sqrt(3)).
-2 + 2*sqrt(2)
Simplify sqrt(35)/(sqrt(7) + sqrt(7) + sqrt(2268)).
sqrt(5)/20
Simplify 0 + 2 + 4*sqrt(11).
2 + 4*sqrt(11)
Simplify -3 + (sqrt(30)*2 - sqrt(30) - sqrt(30))/sqrt(10).
-3
Simplify sqrt(68)/(sqrt(48)/(-1*sqrt(12))).
-sqrt(17)
Simplify sqrt(19) + 0 + sqrt(19) + 1 - (sqrt(19) + -3 + 0 + sqrt(19)).
4
Simplify (sqrt(49)/(5*sqrt(28)))**2.
7/100
Simplify (-1*sqrt(170)*3 - sqrt(170))/((sqrt(120)*1 + sqrt(120))/sqrt(12) + sqrt(10)).
-4*sqrt(17)/3
Simplify sqrt(55)/(sqrt(704) + sqrt(704)*-2).
-sqrt(5)/8
Simplify ((5*sqrt(99))**2 - sqrt(11)) + sqrt(11) - sqrt(66)/sqrt(96) - (3*sqrt(88)/(sqrt(24)/sqrt(3)))**2.
-sqrt(11)/4 + 2376
Simplify (-1 + sqrt(3)*-2 + 5)**2.
-16*sqrt(3) + 28
Simplify (-3 + sqrt(612) + 0)*1.
-3 + 6*sqrt(17)
Simplify (-4*(sqrt(432) - (sqrt(432) + -1)) + -1)**2.
25
Simplify (((sqrt(119) + -2*sqrt(119))*-2)/(sqrt(7) - sqrt(21)/sqrt(48)))**2.
1088/9
Simplify (sqrt(162) - (sqrt(162) + 0))*-2 + 4.
4
Simplify -2 + 4 + sqrt(7) + -2 + sqrt(7) + 0.
2*sqrt(7)
Simplify 0 + sqrt(228)/(sqrt(48)*-3).
-sqrt(19)/6
Simplify 4 + 2 + sqrt(13) - (sqrt(13) + 3 + 3).
0
Simplify (1*(sqrt(110) - 3*sqrt(110)))/(sqrt(60)/sqrt(6)*-3).
2*sqrt(11)/3
Simplify sqrt(4)/(sqrt(6)/sqrt(3)*1) + -5 + 1 + sqrt(200).
-4 + 11*sqrt(2)
Simplify -1*(0 + sqrt(99) + sqrt(220)/sqrt(5))**2.
-275
Simplify (sqrt(147) + -1 + sqrt(147) + 0 - -4*sqrt(147)*1)**2.
-84*sqrt(3) + 5293
Simplify (-1 + sqrt(112))**2*-6*6.
-4068 + 288*sqrt(7)
Simplify -3 + sqrt(432) + 2 + -4.
-5 + 12*sqrt(3)
Simplify -3 + (-2 + sqrt(19) - sqrt(19)) + (sqrt(304) + (sqrt(304) - (sqrt(304) + -2)))**2.
16*sqrt(19) + 303
Simplify (((sqrt(128) + 0)*-3 + -3)*-2)**2.
576*sqrt(2) + 4644
Simplify -3 + (2*sqrt(56))/sqrt(8).
-3 + 2*sqrt(7)
Simplify sqrt(66)/sqrt(96) - (sqrt(110) - (sqrt(110)*-1 + sqrt(110)))/sqrt(10).
-3*sqrt(11)/4
Simplify sqrt(42)/sqrt(54) + (-2*sqrt(7) + 5)**2 + -3.
-59*sqrt(7)/3 + 50
Simplify (sqrt(228)/sqrt(96))/(sqrt(18)/(sqrt(144) + sqrt(9) - sqrt(9))).
sqrt(19)
Simplify (6*(sqrt(136)*-2 - sqrt(136)) + sqrt(136))/(2*sqrt(128)).
-17*sqrt(17)/8
Simplify sqrt(130)/sqrt(10) + -4 + sqrt(208)*-4 + sqrt(13).
-14*sqrt(13) - 4
Simplify sqrt(2448)*-5 + -1*(sqrt(833) - sqrt(17)).
-66*sqrt(17)
Simplify sqrt(44)*-2*3 + 3.
-12*sqrt(11) + 3
Simplify 3*(sqrt(2) + -4 + sqrt(72)).
-12 + 21*sqrt(2)
Simplify (sqrt(1872) + sqrt(1872) + 0 + -2)**2.
-96*sqrt(13) + 7492
Simplify (sqrt(704)*-2 + -2)**2.
64*sqrt(11) + 2820
Simplify ((sqrt(21) + sqrt(21) + sqrt(756)*-4 + sqrt(21))/(-2*sqrt(12) - sqrt(3)))**2.
3087/25
Simplify 2*sqrt(50) + -4.
-4 + 10*sqrt(2)
Simplify -3*(2*-4*sqrt(130))/sqrt(10).
24*sqrt(13)
Simplify 6*(sqrt(1008) + sqrt(1008)*3 - sqrt(1008))*-6.
-1296*sqrt(7)
Simplify 3 + -1 + sqrt(7) + 1.
sqrt(7) + 3
Simplify 5*(sqrt(80)/sqrt(2))/sqrt(8).
5*sqrt(5)
Simplify sqrt(605) + -2 + -5 - (sqrt(605)*-2 + -1).
-6 + 33*sqrt(5)
Simplify 6*(sqrt(3) - sqrt(3)*3)*1*6.
-72*sqrt(3)
Simplify sqrt(847) + 2 - sqrt(28)/sqrt(4)*-4.
2 + 15*sqrt(7)
Simplify ((sqrt(120)/sqrt(5))/sqrt(12) + -5*2*sqrt(2))**2 + 4.
166
Simplify sqrt(200)*1 + -5 - ((sqrt(200) + 0 + sqrt(200))*2)**2.
-3205 + 10*sqrt(2)
Simplify sqrt(9)/(sqrt(3)*-1) - (2*sqrt(432))**2.
-1728 - sqrt(3)
Simplify ((sqrt(120)/sqrt(2))/sqrt(2))/(sqrt(12)/(sqrt(10)/sqrt(5))).
sqrt(5)
Simplify -3*(1 + 0 + sqrt(405) + (sqrt(5) - sqrt(180)*-2)).
-66*sqrt(5) - 3
Simplify ((sqrt(187) - (sqrt(187) - 1*-2*sqrt(187)))/(-1*2*sqrt(11)))**2.
17
Simplify 0 + (sqrt(3) + -1)**2*-6.
-24 + 12*sqrt(3)
Simplify 1 + ((sqrt(3400)*1 - sqrt(3400))/(sqrt(32)*-1))**2.
1
Simplify -4*(-3 + sqrt(200)*2 - sqrt(200))**2.
-836 + 240*sqrt(2)
Simplify (sqrt(25) - (sqrt(50)/(sqrt(8)/sqrt(4)) - sqrt(25)))/sqrt(5) + -2.
-2 + sqrt(5)
Simplify (sqrt(34)/sqrt(8))**2 - (sqrt(17) + ((sqrt(170) + 2*sqrt(170))/sqrt(10) - sqrt(17))).
-3*sqrt(17) + 17/4
Simplify (1*sqrt(3900))/sqrt(3).
10*sqrt(13)
Simplify (-4 + sqrt(162))**2 - (sqrt(88)/sqrt(11))**2.
-72*sqrt(2) + 170
Simplify ((sqrt(36)/(-2*sqrt(4)) + sqrt(9))/sqrt(3))**2 + -4.
-13/4
Simplify -1 + sqrt(425) + -2.
-3 + 5*sqrt(17)
Simplify (sqrt(2)*-1 + -5 - 2*sqrt(72))*1.
-13*sqrt(2) - 5
Simplify 4*4*sqrt(5)*3.
48*sqrt(5)
Simplify sqrt(2) + 1*sqrt(98) + 2.
2 + 8*sqrt(2)
Simplify (sqrt(108) + (6*(1*sqrt(108) + sqrt(108)) - sqrt(108)) - sqrt(108))/((sqrt(99)*-1 - sqrt(99))/sqrt(11)).
-11*sqrt(3)
Simplify (-2*sqrt(27) + sqrt(96)/sqrt(2))**2.
12
Simplify (sqrt(400)/(sqrt(10) - -2*sqrt(10)))/((-3*sqrt(96))/sqrt(12) + sqrt(8)).
-sqrt(5)/6
Simplify -3 + -5 + (sqrt(1872) + 2)**2.
48*sqrt(13) + 1868
Simplify (-6*(sqrt(2736) + -1*sqrt(2736)))**2.
0
Simplify (0 + sqrt(5) + 0 - sqrt(5) - (2*sqrt(45))/sqrt(9))*2.
-4*sqrt(5)
Simplify -4 + 5*(3 + sqrt(1872) - sqrt(1872)).
11
Simplify 3*5*(-1 + sqrt(2057)).
-15 + 165*sqrt(17)
Simplify 5*-2*((-1 + -1 + sqrt(72))**2 + sqrt(72)).
-760 + 180*sqrt(2)
Simplify -3*sqrt(33)/sqrt(3)*6.
-18*sqrt(11)
Simplify (-2*sqrt(102))/sqrt(6)*3.
-6*sqrt(17)
Simplify 3*(sqrt(190) - (sqrt(190) + (sqrt(190)*4 - sqrt(190))))/sqrt(10)*5.
-45*sqrt(19)
Simplify -2*sqrt(153) - -6*(-1 + sqrt(17)).
-6
Simplify (sqrt(102)*-1*-1)/sqrt(6) - (-4 + sqrt(17)*2 + 3).
-sqrt(17) + 1
Simplify (sqrt(28)/sqrt(4))**2 + 2 - (sqrt(448) + 2).
-8*sqrt(7) + 7
Simplify sqrt(68) + -3 + 0.
-3 + 2*sqrt(17)
Simplify sqrt(51)/(sqrt(9)/sqrt(3))*-6.
-6*sqrt(17)
Simplify (-1 + sqrt(1728) + 5)**2.
192*sqrt(3) + 1744
Simplify (sqrt(343)*3 + 5 + 5)**2.
420*sqrt(7) + 3187
Simplify (sqrt(468)/(sqrt(9) - sqrt(144)))/(2*sqrt(4)*3).
-sqrt(13)/18
Simplify sqrt(60)/sqrt(3) + (sqrt(20) - (sqrt(20) + -1)).
1 + 2*sqrt(5)
Simplify (sqrt(931)*-2*-2 + 4 + 1 + sqrt(931))**2.
350*sqrt(19) + 23300
Simplify 2*sqrt(18)*6*-2.
-72*sqrt(2)
Simplify -4 + (2 + sqrt(117)*1)**2.
12*sqrt(13) + 117
Simplify (sqrt(77)/(sqrt(11)*4))**2*3.
21/16
Simplify (sqrt(176)*-3)**2 + -5 + sqrt(176) + 4*sqrt(176)*-1 + sqrt(176).
-8*sqrt(11) + 1579 | {
"pile_set_name": "DM Mathematics"
} |
16?
False
Suppose 123*q - 1312850 = 46*q. Does 233 divide q?
False
Let n = -116909 - -194194. Does 41 divide n?
True
Suppose -4*t + 3*z + 8143 = -2*z, t + z = 2029. Suppose 3*f - 5*r - 879 - 674 = 0, -4*f + t = 3*r. Is 73 a factor of f?
True
Let m(r) = 8*r - 12. Let u be 13 + (8 - 5 - 5). Does 3 divide m(u)?
False
Let l = 3 + -4. Let q = -342 + 367. Is (-3 + l + q)/1 a multiple of 16?
False
Let s = 3 - 3. Suppose s = -p, v - p = -0*v. Suppose 0 = -5*t - 4*g + 200, 3*g = -v*g - 15. Is 11 a factor of t?
True
Is 9 a factor of 336/(-48) - 5/(-1)*2358?
False
Does 39 divide ((-2)/4)/(12 - 10) - 1220109/(-132)?
True
Suppose -4*j + z + 175545 - 31147 = 0, 3*z = -2*j + 72220. Is 56 a factor of j?
False
Let o = 102 - 98. Suppose o*h - 10 = -46. Does 2 divide (-6)/4*60/h?
True
Let r(u) = 2*u**2 - 7*u + 23. Let t be r(-17). Suppose -t = -47*p - 250. Is 2 a factor of p?
True
Let b(y) be the third derivative of y**6/120 + y**5/30 + 13*y**4/24 - 8*y**3/3 - 158*y**2. Does 13 divide b(8)?
True
Suppose 0 = -5*d - 4*q - 478, -2*d - 4*q - 148 - 48 = 0. Let y = 144 + d. Is y a multiple of 10?
True
Suppose 5 = 7*k + 12. Let n(b) = b**2 - 1. Let p(g) = -4*g**2 + 10*g + 15. Let j(v) = k*p(v) - 2*n(v). Is j(-7) a multiple of 13?
False
Suppose -o - m + 1975 = m, 7885 = 4*o + 5*m. Is 7 a factor of o?
False
Suppose 2*n + m + 5 - 15 = 0, 2*n + 5*m - 26 = 0. Suppose -4*u - 842 = 5*r, -u = -n*u - 2*r - 422. Let v = u - -375. Is v a multiple of 27?
True
Let r(l) = 2*l**2 - 9*l - 6. Let m be r(8). Let z = m + -51. Let d(p) = -207*p**3 + 3*p**2 + 3*p + 2. Is 13 a factor of d(z)?
False
Suppose 31*f - 28*f - 141 = 3*g, -f = 2*g + 103. Let p be (8/5)/((-2)/(-185)). Let i = p + g. Is 14 a factor of i?
True
Let f be (-40)/(-16)*2/5. Let z be ((-6)/21)/(f/(-287)). Is 3 a factor of z/10 + 3/(-15)?
False
Let q(u) = u**2 + 17*u + 91. Let a be q(-16). Suppose -28*d - 32759 = -a*d. Does 50 divide d?
False
Suppose 6*b = -5*b + 2*b + 175617. Does 47 divide b?
False
Let t(c) = c**2 + 10*c - 43. Let v = -103 + 90. Let z be t(v). Does 3 divide z/(16/12) + 8?
False
Let n(x) = 15*x**3 - 12*x**2 + 38*x + 4. Is n(7) a multiple of 15?
False
Does 13 divide -5 + 89404 - (-10 - -24)?
False
Let u(a) = a**3 + 8*a**2 + a + 1. Let r be u(-7). Let q = -48 + r. Is (26/q)/((-3)/30) a multiple of 13?
True
Let l(c) = -c**2 + 3*c - 2. Let j be l(10). Let r = 38 + j. Let q = r - -74. Does 40 divide q?
True
Suppose -3*m + 18255 = -3*s - 159, 5*s - 6132 = -m. Suppose -m = 7*t - 24*t. Is t a multiple of 19?
True
Suppose -3*c + 288 = 3*c. Let t = c + -46. Is 3 a factor of (-18 - (-4 + 1))/((-2)/t)?
True
Let p = 9334 - 8299. Is p a multiple of 18?
False
Let w be -2715 + 0 - (-4 - (-6)/6). Let a = -1676 - w. Does 28 divide a?
True
Let v = 4288 - 2768. Suppose 5*k = 2*d + 1520, 3*d - 6*d = -5*k + v. Suppose k = 7*o - 578. Is o a multiple of 26?
False
Suppose 0*j + 5*j + 3*p = 138, -p = -4*j + 124. Suppose 4*d - j = -2*k, -2*d + 0 = -4. Is k a multiple of 5?
False
Suppose -3*o - 4*j = -8956, j - 1605 = -3*o + 7366. Is 55 a factor of o?
False
Let b be (1164/(-8)*1)/(2/(-32)). Let q be b/(-14) - 12/(-42). Let g = -62 - q. Does 35 divide g?
False
Suppose 11*h - 28 = 18*h. Let r(g) = -g - 6*g - 2*g + 1 - 7 + 8*g**2. Is r(h) a multiple of 29?
False
Does 41 divide -9*(0 + 22148/(-42))?
False
Suppose -3*y = -4*t - 652, -5*y = 3*t - 3*y + 506. Does 3 divide (-18)/27 + t/(-6)?
True
Let c = 19355 - 13139. Is 28 a factor of c?
True
Suppose -41*k = -13*k - 84. Suppose -47*m + 45*m + k*i = -959, -5*i = 5*m - 2435. Is m a multiple of 11?
True
Suppose -5*k + 10 = 25. Let u(o) = -o**3 + o**2 + o - 14. Let c(d) = -2*d**3 - 5*d**2 - 3*d + 13. Let a(z) = c(z) + u(z). Is 10 a factor of a(k)?
True
Let h be (-13 - -9)*(-3)/6. Suppose m - 8 = -h*b, 2*m + 1 + 4 = 3*b. Does 13 divide ((-4563)/36)/(b/(-8))?
True
Suppose 0 = -17*p + 21*p + 5*q - 27882, -3*q + 27878 = 4*p. Does 19 divide p?
False
Let u(g) = -g**3 - g - 9. Let r be u(3). Let i = 576 - 411. Let d = i + r. Is 18 a factor of d?
True
Suppose 0 = 5*n + 47 - 32, -9791 = -2*v + 5*n. Is v a multiple of 47?
True
Let b = -1097 + 1634. Suppose 821 + b = 7*v. Does 64 divide v?
False
Let p be (-1188)/4*(0 + 66/18). Let m = 1899 + p. Does 62 divide m?
False
Let v(f) = -21*f**3 + 12*f**2 + 7*f + 10. Is v(-2) a multiple of 4?
True
Let m(p) = 61*p + 5. Suppose 5*l = 4*t + 14, -4*l = -2*t - t - 11. Suppose 2*z = y + l, -z + 0 = -4*y - 1. Does 22 divide m(z)?
True
Let v(y) = 7*y**2 + 3*y - 28. Let l(p) = -6*p**2 - 2*p + 28. Let t(x) = -6*l(x) - 5*v(x). Suppose 0 = -5*o + 11 - 56. Does 20 divide t(o)?
True
Suppose 2*a = -2*w + 486, -4*w + 558 = 3*a - 174. Let l = a - 53. Does 13 divide l?
False
Suppose -70*f + 69*f + 15 = 0. Let a(o) = -2*o**2 + 46*o + 16. Is 13 a factor of a(f)?
False
Let i(f) = -12*f + 25. Suppose -18*k + 19*k = -11. Does 31 divide i(k)?
False
Suppose -2*x = -x. Let u(k) = k**2 - 7*k + 19. Is 5 a factor of u(x)?
False
Let h be (-78)/(-16) - (-4)/96*3. Suppose -h*o - 686 = -1866. Is 10 a factor of o?
False
Let y(r) = 2*r**3 - 28*r**2 + 20*r - 42. Does 3 divide y(23)?
False
Let v = -2579 + 5728. Is 6 a factor of v?
False
Suppose -81*g + 74*g + 56 = 0. Suppose g*k - 665 = 3*k. Is 5 a factor of k?
False
Let z = 81430 - 58056. Suppose 9*v = -4*v + z. Is 102 a factor of v?
False
Suppose 0 = -2*y - w - 85 + 92, 2*y + 7 = w. Let b(m) = -66*m + 162. Let s(o) = -7*o + 17. Let u(j) = -5*b(j) + 48*s(j). Is 6 a factor of u(y)?
True
Let n be (1 - 2) + 12/8*226. Suppose 0 = 3*f + 5*y - 636, 3*f - 2*y - n - 298 = 0. Let x = -92 + f. Does 12 divide x?
True
Suppose -2*d + 106 = 2*t, -8*d - 167 = -4*t - 3*d. Let v = t + -7. Suppose 0 = 4*r - 63 - v. Is 14 a factor of r?
False
Let g(w) be the first derivative of w**4/4 - 2*w**3 + 7*w**2/2 + 481. Let c be (-5)/(-2)*4/2. Is g(c) a multiple of 10?
True
Suppose -20*c = -5*c - 2145. Suppose 25*j - c = 26*j. Is j/(2/(-2) - (3 - 3)) a multiple of 21?
False
Is 52 a factor of ((-12)/(-24))/(1 - 539934/539940)?
False
Suppose 100*m - 2062830 = 2335265 - 408095. Is m a multiple of 30?
True
Let j(b) = b**3 + 5*b**2 - 2*b. Let f be j(3). Let w = -64 + 248. Let o = w - f. Does 24 divide o?
False
Suppose -2*u = 4*k - 16516, 3*k = 73*u - 72*u + 12377. Is 23 a factor of k?
False
Let d(a) = 9*a**2 + 114*a - 196. Is d(8) even?
True
Let o(u) = 6*u + 126. Let d be o(21). Is 18 a factor of (d/(-10))/(19/(-190))?
True
Let g(z) = 22*z**3 - 5*z**2 + 7*z - 15. Is 7 a factor of g(7)?
False
Let c = 1 + 54. Let j = c - -2. Let x = j + 133. Does 22 divide x?
False
Suppose -4*z + 32 = -4*d + 2*d, -5*z = -4*d - 46. Let s be -2 + (14 - 4 - 6). Suppose s*v - 4 = -z, -v - 35 = -l. Is l a multiple of 11?
False
Let f = 35 - 34. Let g(c) = 178*c**3 + c**2 - c + 1. Let b be g(f). Suppose 2*y = 3*p + b, 5*p = -y - 0*y + 109. Is 38 a factor of y?
False
Let q be 30/(-25)*35/(-21). Suppose 875 = 4*n + 5*a, 17*a - 15*a = -q. Is n a multiple of 11?
True
Suppose 4*v = 5*x - 140, -18 = -2*x + 2*v + 36. Let j = 3599 + -3598. Let h = j + x. Is 11 a factor of h?
True
Let x = -1150 - -623. Let v = -511 - x. Is 6 a factor of v?
False
Suppose -14*d = -16*d + 50. Is 242/10*8/(40/d) a multiple of 11?
True
Let u(v) = v**3 + 44*v**2 - 86*v + 315. Does 23 divide u(-45)?
False
Suppose -14*l = -19*l. Suppose -4*h + 200 = 2*s, l = -h - s - 0 + 50. Does 12 divide h?
False
Let d(n) = n**3 + 8*n**2 - 6*n + 9. Let h be d(-8). Let q = -55 + h. Suppose 7*b = q*b + 55. Is 6 a factor of b?
False
Suppose -g + 140 - 23 = 0. Let f(v) = -2*v**2 - 19*v - 128. Let d be f(-5). Let t = g + d. Is t a multiple of 3?
False
Let u(j) = 241*j**2 - 1. Let r(o) = -o**2 + 10*o - 15. Let v be r(8). Is 16 a factor of u(v)?
True
Let r(p) = -8*p + 94. Let o be r(-27). Suppose -7*j = -12*j - o. Let t = j - -74. Is t a multiple of 5?
False
Suppose 3*p - 6*g + 2*g - 27 = 0, -5*p + g = -28. Suppose 0 = 5*s - p*d - 940, 0 = 2*s + 2*d - 424 + 52. Is s a multiple of 30?
False
Suppose 18605 = 5*q - 2*s, q + 79*s - 3721 = 81*s. Does 14 divide q?
False
Suppose k = 5*k - 5*f - 3, -f = 2*k - 5. Let i(t) = 54*t - 45. Does 6 divide i(k)?
False
Let h(q) = 2*q + 20. Let i be h(-6). Let d(g) = -2*g**2 + 40*g + 28. Let p be d(21). Is (-508)/(-7) + i/p a multiple of 37?
False
Suppose 0*g = 3*g + 6. Let f(m) be the first derivative of -31*m**2/2 + 8*m - 1 | {
"pile_set_name": "DM Mathematics"
} |
v = -s - 1272621, 4*s - 4*v = 1696836. Let j(x) = 18508*x + 84. Let q be j(16). Let u = q - s. What is u rounded to the nearest 10000?
-130000
Let a = 0.92289 + 0.09231. Round a to 1 dp.
1
Let b = -11.1 - -135.1. Let d = b - 123.8449. What is d rounded to two decimal places?
0.16
Let x = 23873910.04060424 - 23873909. Let j = x + -0.3906056. Let m = j - 0.65. Round m to seven dps.
-0.0000014
Let o(g) be the second derivative of g**5/20 + g**4 - 5*g**3/3 + 34*g. Let y be o(-10). Let l be (0 + -17 + -4)*y. What is l rounded to the nearest 1000?
-6000
Suppose -6 = -0*l + 2*l. Let p(x) = -2736*x + 12. Let o be p(l). Suppose 2*v - o = v. Round v to the nearest 1000.
8000
Let z = 1.1813 - 1.1841326. Round z to 5 dps.
-0.00283
Let u be 15/5*3/9. Let d(v) = -263001*v + 2 - 1 + 0. Let o be d(u). What is o rounded to the nearest ten thousand?
-260000
Let a = 76726.70753 - 76797.70752998. Let x = 70.5266 + 0.4734. Let z = x + a. What is z rounded to six decimal places?
0
Let r(s) = s**2 - 3*s + 6. Let a be r(6). Let f = a + -23. Let b be (20100002 - f) + (4 - 1 - 4). Round b to the nearest one million.
20000000
Let w(a) = 525528*a - 18168. Let l be w(6). What is l rounded to the nearest 10000?
3140000
Let t = -11.957 + -40.813. What is t rounded to 0 dps?
-53
Let d = -9990 + -174580. What is d rounded to the nearest one hundred thousand?
-200000
Let d = -0.112306 + -17.137994. Let n = -17.04 - d. Round n to two dps.
0.21
Suppose n - 116454 = -3*u + 4*u, -5*n - 5*u + 582260 = 0. Suppose -f + 51547 + n = 0. Suppose -d + f = 3*d. Round d to the nearest 10000.
40000
Let p = -6585 + 6650.39. What is p rounded to zero dps?
65
Suppose -19*q + 14 = -20*q. Let v be (24/q)/((-42)/(-2205)). Let n = 34 + v. What is n rounded to the nearest 10?
-60
Let g = 12.398 + -12.39797983. Round g to five dps.
0.00002
Suppose 111529704 = 6*t + 18*t. Let n = t + 7602929. What is n rounded to the nearest one million?
12000000
Suppose 14*s - 124379 + 34513 = 0. Let r be (-1)/((-8)/8) + s. Round r to the nearest 1000.
6000
Suppose -3716972 = -10*o - 4*o. Suppose -102*g - x = -105*g - o, 2*g + 4*x = -177008. What is g rounded to the nearest 10000?
-90000
Let z be 12/1*(-952)/(-51)*-130625. Round z to the nearest 1000000.
-29000000
Let f = -39.6 + -0.4. Let y = 897.3 - 854. Let r = f + y. What is r rounded to one decimal place?
3.3
Let f = -53700024.014221 + 53700049. Let d = -0.016779 + f. Let w = 25 - d. What is w rounded to 2 dps?
0.03
Let d = -10113 - -10112.99898202. Round d to four dps.
-0.001
Let q = 4142.2746 - 4141. Round q to one dp.
1.3
Let q(a) = -283*a**3 + 53*a**2 - 6*a + 61. Let c be q(4). Round c to the nearest one thousand.
-17000
Let o = -104.11 + 0.11. Let t = -45610.0224 - -45714. Let m = o + t. What is m rounded to 3 dps?
-0.022
Let g = 239 - 238.475. Let p = g - 0.08. What is p rounded to 1 decimal place?
0.4
Let l = 2119 + -2119.000000564. What is l rounded to six dps?
-0.000001
Let c = -4.74 + 4.7591. Let s = -0.0189892 + c. Round s to 5 decimal places.
0.00011
Let g = 151.212 - 151.211917383. Round g to 5 dps.
0.00008
Let t = 1.4 - 2.442. Let h = -1.04201286 - t. What is h rounded to six dps?
-0.000013
Let u = 2131.4003941 + -2131.4. Round u to five decimal places.
0.00039
Let r = -1022.24 + 1056.1. Round r to one dp.
33.9
Let d = 55346892 - 55346607.99979. Let m = 284 - d. Round m to four decimal places.
-0.0002
Let m = -1014465 - -1014480.62663. Let g = 4552 - 4536.38. Let r = m - g. Round r to 4 decimal places.
0.0066
Let s = 52.279 - 69.5186. What is s rounded to the nearest integer?
-17
Let p = 7.803 - 7.49. Let h = p - 0.45. What is h rounded to 1 decimal place?
-0.1
Let p = 9.88 + -9.880394. What is p rounded to four decimal places?
-0.0004
Let t = 10609.34822667 + -10128.3482294. Let f = -480.9334 + -0.0666. Let r = f + t. Round r to 7 dps.
-0.0000027
Suppose -18*p - 3 = -19*p. Suppose -p*m + 9 + 9 = 0. Suppose 0 = -m*f - 0*f - 1476000. Round f to the nearest one hundred thousand.
-200000
Let d = -9305.0001572 + 9305. What is d rounded to 4 decimal places?
-0.0002
Let j = 3.293 - 3.36608. Let a = 3.671 - 3.6. Let b = j + a. Round b to 4 decimal places.
-0.0021
Let w = -642 - -961. Let r = 267.2576 - -51.7726. Let m = r - w. Round m to 3 decimal places.
0.03
Let v = -11.178 - 18.058. Round v to one decimal place.
-29.2
Suppose -8937 + 1962 = 5*q. Let g = q + 3516. Let i = g - 3371. Round i to the nearest 100.
-1300
Let i = 17.3 - 86.3. Let l = -34 - i. Let b = l + -34.9964. Round b to three dps.
0.004
Let c(u) = -5*u**2 - 25*u - 17. Let g be c(-4). Suppose 0 = -g*l - 3291 + 672. What is l rounded to the nearest 100?
-900
Let y = -1758.2 + 1758.1973606. Round y to 5 dps.
-0.00264
Let q = 4461362 - 4461206.03928. Let o = 156 - q. What is o rounded to three decimal places?
0.039
Let h = 164.465 - -0.535. Let r = -165.000003883 + h. What is r rounded to six decimal places?
-0.000004
Let p = -0.00996 + -233.09004. Let o = p - -222. Let k = 11.09813 + o. Round k to 4 decimal places.
-0.0019
Let u = -8.62 - 2.08. Let s = u - -5.6. Let o = s + 3.6. Round o to one dp.
-1.5
Let j = -118971.999756652 + 118972. What is j rounded to five dps?
0.00024
Let c be -13 + (-5949476)/(-195) + (-2)/15. Suppose 3*s + 4*r + 33378 = 0, 4*r + c = -4*s - 14011. Round s to the nearest one hundred.
-11100
Let d = -6.99 - -5.73. Let a = d - 0.991. What is a rounded to 1 dp?
-2.3
Let v = 29.2 + 0.8. Let b = -29.9595 + v. Let d = b - 0.0405669. What is d rounded to 5 dps?
-0.00007
Let v = 106846 + -106845.9999902793. Round v to seven dps.
0.0000097
Let f = -498.15 + 498.127657. Round f to four dps.
-0.0223
Let z = 1171.58602 - 1357.593. Let o = z + 186. What is o rounded to 3 dps?
-0.007
Let v = -8176663 + 8176210.0353. Let j = v - -453. Round j to two dps.
0.04
Let a = 8999651064.99999922 + -8999650923. Let x = a - 142. Round x to 7 dps.
-0.0000008
Let j = 38096 - 50010. What is j rounded to the nearest one thousand?
-12000
Let p = -0.067231 - -5598.467231. What is p rounded to the nearest 100?
5600
Let x = 10.969 + 0.031. Let z = -11.00000148 + x. What is z rounded to six dps?
-0.000001
Let s = 7063 - 7062.999990778. What is s rounded to six decimal places?
0.000009
Let j(s) = -2567*s - 536. Let x be j(-38). What is x rounded to the nearest 1000?
97000
Let l be 106/(-53)*(26629/(-2) - 1). Suppose 29*b + 4*b = -l. Round b to the nearest 100.
-800
Let z = 23772 - 23773.1729. Round z to 1 decimal place.
-1.2
Let x be 20/(-6)*(-180)/150. Let b = -22 - 10. Let i be 92792/b + (-1)/x. What is i rounded to the nearest one thousand?
-3000
Suppose 21*p - 19*p = 4*b - 60991994, -2*p = -b + 15247994. What is b rounded to the nearest 100000?
15200000
Let s = -41.110022836 + 41.11. Round s to six decimal places.
-0.000023
Suppose 0 = -2*o + 1628 - 240. Let c be o + (1 - (-8)/28*-7). What is c rounded to the nearest 100?
700
Let v = 1.125 - 1.26. Let o = -0.1350896 - v. What is o rounded to 5 decimal places?
-0.00009
Let n = -0.4334 + -0.541. Round n to one decimal place.
-1
Suppose -169*y + 170*y = 227360168. Let o be y/(-28) + 2*3. Round o to the nearest 1000000.
-8000000
Let q = 2178.1 + -667.25. Let i = q + -1481. What is i rounded to 0 dps?
30
Let m be (-6)/10 + (-90)/(-25). Suppose 0 = -m*n + 400 + 11. Let a = -99 - n. Round a to the nearest ten.
-240
Let o(d) = -200*d**2 + 62*d + 146. Let k(z) = -29*z**2 - z - 3. Let c be k(1). Let l be o(c). What is l rounded to the nearest 100000?
-200000
Let t = -0.056114 - -0.056161982. Round t to seven dps.
0.000048
Let w = 0.05815 + 0.56935. What is w rounded to two dps?
0.63
Let j be ((-21)/(-6))/(2/48) - 3. Let d be (320*j/(-6))/(12/(-5000)). What is d rounded to the nearest 1000000?
2000000
Let m = 4443.569200716 + 0.002199284. Let r = m - 4444. What is r rounded to 2 dps?
-0.43
Let f = 47.86524 - 0.02024. What is f rounded to zero dps?
48
Suppose 0 = -5*b + w - 60091, 2*b + 3*b + 60086 = -4*w. Let o be 6 - (2 + 1) - 93. Let l be (b/9 + 2)*o. Round l to the nearest 100000.
100000
Let f = -1640 - 13. Let w = -1652.94098 - f. Let b = -0.059 + w. Round b to four decimal places.
0
Let f = -605828376.9999342 - -605827714. Let w = -663 - f. What is w rounded to 5 dps?
-0.00007
Let f = -26736500 - -26736499.59199518. Let s = 0.408 + f. Round s to 6 d | {
"pile_set_name": "DM Mathematics"
} |
3, -2362, -1361, -238, 1049, 2542?
7*d**3 - 2*d**2 + 878*d - 4166
What is the f'th term of -150711801, -301423606, -452135411, -602847216, -753559021, -904270826?
-150711805*f + 4
What is the d'th term of 133598559, 133598555, 133598547, 133598535, 133598519, 133598499?
-2*d**2 + 2*d + 133598559
What is the n'th term of 2992394, 5984740, 8977086?
2992346*n + 48
What is the w'th term of -2159, -1909, -1215, 145, 2393, 5751, 10441?
37*w**3 - 9*w - 2187
What is the t'th term of 111367128, 111367129, 111367130, 111367131, 111367132, 111367133?
t + 111367127
What is the r'th term of -2328, -13980, -44350, -102798, -198684?
-1560*r**3 + r**2 - 735*r - 34
What is the o'th term of -203664, -212226, -226504, -246504, -272232?
-o**3 - 2852*o**2 + o - 200812
What is the r'th term of -37221, -297884, -1005429, -2383302, -4654949?
-37241*r**3 + 5*r**2 + 9*r + 6
What is the y'th term of -1994, -1731, -1484, -1253, -1038, -839?
-8*y**2 + 287*y - 2273
What is the h'th term of 1423, 7515, 17669, 31885?
2031*h**2 - h - 607
What is the r'th term of 23688, 94605, 212836, 378387, 591264?
r**3 + 23651*r**2 - 43*r + 79
What is the l'th term of 67521653, 67521659, 67521665, 67521671, 67521677?
6*l + 67521647
What is the x'th term of 17532, 140266, 473406, 1122156, 2191720, 3787302, 6014106?
17534*x**3 - x**2 - x
What is the o'th term of 589435, 589431, 589417, 589387, 589335, 589255, 589141, 588987?
-o**3 + o**2 + 589435
What is the i'th term of 17, -471, -1487, -3049, -5175, -7883?
-3*i**3 - 246*i**2 + 271*i - 5
What is the c'th term of -241540, -483063, -724590, -966121, -1207656, -1449195, -1690738?
-2*c**2 - 241517*c - 21
What is the c'th term of 1952, 7783, 17466, 30971, 48268?
-5*c**3 + 1956*c**2 - 2*c + 3
What is the a'th term of 1329, 5613, 12789, 22887, 35937, 51969, 71013, 93099?
5*a**3 + 1416*a**2 + a - 93
What is the o'th term of -29437934, -58875875, -88313816?
-29437941*o + 7
What is the z'th term of 745, 1840, 2943, 4060, 5197, 6360, 7555?
z**3 - 2*z**2 + 1094*z - 348
What is the y'th term of 267453, 267312, 267185, 267072?
7*y**2 - 162*y + 267608
What is the z'th term of 584085, 583938, 583793, 583650, 583509, 583370, 583233?
z**2 - 150*z + 584234
What is the r'th term of 141802, 283375, 424948, 566521?
141573*r + 229
What is the m'th term of -70592534, -70592533, -70592532, -70592531, -70592530?
m - 70592535
What is the v'th term of -1880, -1981, -2130, -2345, -2644?
-3*v**3 - 6*v**2 - 62*v - 1809
What is the z'th term of 209976, 209939, 209888, 209817, 209720?
-z**3 - z**2 - 27*z + 210005
What is the b'th term of -921448, -921466, -921484, -921502, -921520?
-18*b - 921430
What is the s'th term of -604840, -2419423, -5443742, -9677797, -15121588, -21775115?
-604868*s**2 + 21*s + 7
What is the u'th term of -710944, -1422457, -2133968, -2845477?
u**2 - 711516*u + 571
What is the a'th term of 46539592, 46539577, 46539564, 46539553, 46539544, 46539537?
a**2 - 18*a + 46539609
What is the u'th term of -4627, -4257, -3251, -1291, 1941, 6763, 13493, 22449?
53*u**3 - u - 4679
What is the t'th term of -156669, -626636, -1409923, -2506536, -3916481?
-t**3 - 156654*t**2 + 2*t - 16
What is the f'th term of 160210, 160215, 160220, 160225, 160230, 160235?
5*f + 160205
What is the x'th term of -1853, -3606, -5265, -6830?
47*x**2 - 1894*x - 6
What is the v'th term of -115684, -115630, -115538, -115408, -115240?
19*v**2 - 3*v - 115700
What is the y'th term of 24118, 24062, 23956, 23800, 23594, 23338, 23032?
-25*y**2 + 19*y + 24124
What is the a'th term of 6868, 6486, 6100, 5710?
-2*a**2 - 376*a + 7246
What is the l'th term of -594197, -1188400, -1782605, -2376812, -2971021?
-l**2 - 594200*l + 4
What is the k'th term of -141503, -141481, -141463, -141449, -141439?
-2*k**2 + 28*k - 141529
What is the c'th term of -13976741, -13976744, -13976749, -13976756, -13976765?
-c**2 - 13976740
What is the l'th term of -1409770, -1409763, -1409754, -1409743, -1409730, -1409715, -1409698?
l**2 + 4*l - 1409775
What is the i'th term of 12178, 12090, 12008, 11932, 11862, 11798?
3*i**2 - 97*i + 12272
What is the j'th term of 238, 744, 1532, 2590, 3906, 5468, 7264?
-2*j**3 + 153*j**2 + 61*j + 26
What is the d'th term of -161760, -161449, -161126, -160785, -160420?
d**3 + 304*d - 162065
What is the z'th term of -44534, -79237, -113940?
-34703*z - 9831
What is the k'th term of 5579, 11121, 16619, 22073, 27483, 32849?
-22*k**2 + 5608*k - 7
What is the a'th term of 116713330, 116713328, 116713326, 116713324, 116713322, 116713320?
-2*a + 116713332
What is the u'th term of -303440, -1213727, -2730886, -4854929, -7585868, -10923715?
-2*u**3 - 303424*u**2 - u - 13
What is the p'th term of 42341, 81671, 121001, 160331, 199661?
39330*p + 3011
What is the z'th term of 40197, 81902, 123607, 165312, 207017?
41705*z - 1508
What is the c'th term of -100004008, -200008017, -300012026, -400016035, -500020044, -600024053?
-100004009*c + 1
What is the g'th term of -14536, -29317, -44098?
-14781*g + 245
What is the b'th term of 283476612, 283476613, 283476614, 283476615, 283476616?
b + 283476611
What is the t'th term of 19230976, 38461953, 57692930, 76923907, 96154884, 115385861?
19230977*t - 1
What is the o'th term of -688, -964, -1430, -2098, -2980, -4088?
-2*o**3 - 83*o**2 - 13*o - 590
What is the d'th term of 5239, 7610, 7103, 3718, -2545, -11686, -23705?
-1439*d**2 + 6688*d - 10
What is the a'th term of -1044654, -2089451, -3134248, -4179045, -5223842?
-1044797*a + 143
What is the o'th term of 1101806, 2203381, 3304956, 4406531, 5508106, 6609681?
1101575*o + 231
What is the a'th term of 12207, 11553, 10899?
-654*a + 12861
What is the x'th term of -184081, -368178, -552287, -736408, -920541, -1104686, -1288843?
-6*x**2 - 184079*x + 4
What is the v'th term of 6027995, 6027996, 6027997, 6027998, 6027999?
v + 6027994
What is the l'th term of 6380, 5943, 5222, 4223, 2952, 1415?
l**3 - 148*l**2 + 6527
What is the k'th term of 46566, 372477, 1257096, 2979777, 5819874, 10056741, 15969732?
46559*k**3 - 2*k + 9
What is the k'th term of 1239891, 1239907, 1239923, 1239939, 1239955, 1239971?
16*k + 1239875
What is the k'th term of 2446538, 2446510, 2446458, 2446376, 2446258, 2446098, 2445890?
-k**3 - 6*k**2 - 3*k + 2446548
What is the j'th term of -15281, -30749, -46219, -61685, -77141?
j**3 - 7*j**2 - 15454*j + 179
What is the q'th term of -66788, -68678, -71828, -76238?
-630*q**2 - 66158
What is the d'th term of 30897, 31380, 31863?
483*d + 30414
What is the g'th term of -74590, -298391, -671418, -1193671, -1865150, -2685855, -3655786?
-74613*g**2 + 38*g - 15
What is the p'th term of -147963, -147805, -147657, -147519, -147391, -147273?
-5*p**2 + 173*p - 148131
What is the t'th term of -4109, -10699, -19777, -31337, -45373?
t**3 - 1250*t**2 - 2847*t - 13
What is the s'th term of -1551894, -3103788, -4655682, -6207576, -7759470, -9311364?
-1551894*s
What is the c'th term of -21036525, -84146092, -189328695, -336584328, -525912985, -757314660?
c**3 - 21036524*c**2 - 2*c
What is the k'th term of 23162, 47678, 72194?
24516*k - 1354
What is the x'th term of -12373, -13125, -13879, -14635, -15393, -16153?
-x**2 - 749*x - 11623
What is the k'th term of -2129765, -4259539, -6389313, -8519087?
-2129774*k + 9
What is the o'th term of 3272, 3297, 3366, 3503, 3732, 4077, 4562?
4*o**3 - 2*o**2 + 3*o + 3267
What is the n'th term of -27244, -108923, -245070, -435697, -680816?
-2*n**3 - 27222*n**2 + n - 21
What is the o'th term of -20275, -40518, -60733, -80920, -101079, -121210?
14*o**2 - 20285*o - 4
What is the z'th term of 1042, 1860, 2656, 3424, 4158, 4852?
-z**3 - 5*z**2 + 840*z + 208
What is the b'th term of 15, -1196, -3235, -6120, -9869, -14500?
-3*b**3 - 396*b**2 - 2*b + 416
What is the i'th term of -155, -574, -1253, -2186, -3367, -4790, -6449, -8338?
i**3 - 136*i**2 - 18*i - 2
What is the y'th term of -4850914, -9701771, -14552606, -19403407, -24254162?
2*y**3 - y**2 - 4850868*y - 47
What is the v'th term of 769215, 1538849, 2308483, 3078117, 3847751, 4617385?
769634*v - 419
What is the f'th term of 21, 265, 609, 1053, 1597, 2241?
50*f**2 + 94*f - 123
What is the y'th term of -22505, -23454, -24395, -25328, -26253, -27170?
4*y**2 - 961*y - 21548
What is the d'th term of 73049, 149252, 225455, 301658, 377861, 454 | {
"pile_set_name": "DM Mathematics"
} |
r**2 - 86*r + 495. Determine z(10).
135
Let a(v) = -v**2 + 311*v + 2532. What is a(-8)?
-20
Let a(n) = -53476*n - 106964. Give a(-2).
-12
Let p(y) = 6087*y + 298235. What is p(-49)?
-28
Let s(v) = 283726*v - 1134447. Give s(4).
457
Let n(d) = 386*d**2 - 18526*d - 99. What is n(48)?
-3
Let t(x) = 66033*x + 330164. Determine t(-5).
-1
Let d(w) = 29*w + 6602. Determine d(-37).
5529
Let f(l) = -42*l**3 - 10*l**2 + 41*l - 88. Give f(2).
-382
Let u(x) = -6*x**3 - 519*x**2 + 3581*x + 7. What is u(7)?
-2415
Let o(r) = -222*r + 16630. Calculate o(75).
-20
Let k(x) = -x**2 + 6061*x - 126831. What is k(21)?
9
Let d(l) = -2*l**3 + 44*l**2 - 40*l + 862. Determine d(22).
-18
Let b(l) = -2*l**3 + 1019*l**2 - 465*l - 22430. What is b(509)?
-34
Let s(n) = -73*n**2 + 1834*n - 207. Give s(25).
18
Let t(p) = -82761*p - 331123. Determine t(-4).
-79
Let w(l) = -l**3 + 44*l**2 + 840*l - 38764. What is w(42)?
44
Let x(k) = 137*k**2 + 40*k - 58. Determine x(2).
570
Let w(m) = 3841*m - 199715. What is w(52)?
17
Let u(d) = 3860*d - 19420. Calculate u(5).
-120
Let h(f) = -81*f**2 - 813*f - 67. Give h(-9).
689
Let i(r) = 9*r**3 + 27*r**2 - 316*r + 288. Give i(1).
8
Let w(n) = -3159*n + 2923. Determine w(1).
-236
Let b(j) = j**3 - 3*j**2 - 88*j + 301. What is b(3)?
37
Let l(s) = 39*s + 1702. Calculate l(-36).
298
Let s(f) = f**3 + 46*f**2 - 343*f + 191. Determine s(6).
5
Let j(w) = 18*w**2 - 553*w - 2001. Calculate j(34).
5
Let w(z) = -18531*z**2 + 74094*z + 120. What is w(4)?
0
Let w(f) = 7*f**3 - 221*f**2 + 1747*f - 1797. Determine w(11).
-4
Let f(o) = -o**2 - 123*o + 1505. Calculate f(12).
-115
Let i(l) = -52*l**2 - 499*l + 297. Calculate i(-6).
1419
Let r(q) = -q**2 - 2252*q - 393686. Give r(-191).
-35
Let p(k) = k**2 - 23652*k + 1109425. Determine p(47).
-10
Let x(g) = 3*g**2 - 170*g - 25893. Determine x(125).
-268
Let s(f) = -85*f**2 + 973*f + 1965. Give s(-2).
-321
Let u(z) = 6*z**2 + 190*z - 3855. Give u(15).
345
Let z(b) = 205*b**3 - 2667*b**2 - 3*b + 372. Give z(13).
-5
Let g(y) = -2*y**3 - 550*y**2 + 2238*y + 1667. What is g(-279)?
-7
Let x(q) = -3414*q - 11360. Determine x(-4).
2296
Let b(r) = r**2 + 162*r + 4217. Determine b(-106).
-1719
Let r(c) = -4*c**3 + 733*c**2 - 194*c - 925. What is r(183)?
-2938
Let o(v) = 10*v**2 - 922*v - 862. What is o(95)?
1798
Let y(c) = c**3 - 105*c**2 + 464*c + 3603. Calculate y(100).
3
Let m(h) = 102*h + 9508. Calculate m(-91).
226
Let v(k) = -487967*k + 2927796. Determine v(6).
-6
Let f(l) = -17*l**2 + 301*l + 2960. What is f(-7)?
20
Let t(b) = -2*b**3 + 163*b**2 + 117*b - 574. Calculate t(82).
2296
Let f(c) = 283*c**2 + 2245*c - 5. Calculate f(-8).
147
Let h(u) = 34*u**3 + 2072*u**2 - 118*u + 122. Give h(-61).
-122
Let l(b) = 542637*b - 4883748. Give l(9).
-15
Let x(i) = -68004*i + 2040223. Calculate x(30).
103
Let n(b) = 1518*b - 34950. What is n(23)?
-36
Let b(g) = 74*g - 2782. Give b(39).
104
Let p(s) = s**3 + 21*s**2 - 711*s - 39. Give p(-39).
312
Let g(z) = z**3 - 49*z**2 + 420*z - 3921. Determine g(41).
-149
Let t(l) = 15*l**2 - 1981*l + 7. Calculate t(0).
7
Let z(c) = 195*c**2 + 60*c + 4. Calculate z(-3).
1579
Let b(v) = -40929*v + 163724. Determine b(4).
8
Let z(i) = 2*i**2 - 12339*i + 73944. Calculate z(6).
-18
Let f(d) = -2*d**2 + 2186*d - 193214. Calculate f(996).
10
Let p(x) = -963*x - 35836. Calculate p(-37).
-205
Let i(p) = -73492*p - 514451. Give i(-7).
-7
Let s(d) = -138*d**2 + 19877*d - 584. Determine s(144).
136
Let d(n) = -174*n + 21355. Determine d(123).
-47
Let p(i) = 11*i**3 + 10*i**2 + 9*i - 110. Give p(5).
1560
Let u(o) = o**3 + 16*o**2 - 11*o - 477. What is u(-16)?
-301
Let d(h) = -h**3 + 56*h**2 + 1673*h - 3570. What is d(2)?
-8
Let u(f) = 428*f + 49432. Calculate u(-115).
212
Let m(z) = -2*z**3 - 8*z**2 + 175*z + 1026. What is m(-6)?
120
Let g(j) = 3*j**3 + 74*j**2 - 77*j - 688. What is g(-25)?
612
Let x(f) = -9994*f - 210028. Determine x(-21).
-154
Let w(i) = 41*i**3 - 127*i**2 + 28*i - 47. Determine w(3).
1
Let t(v) = -121*v**2 - 27*v - 50. Calculate t(-2).
-480
Let d(a) = 62*a + 4053. Calculate d(-66).
-39
Let j(m) = m**3 + 9*m**2 - 108*m + 25. What is j(10)?
845
Let o(j) = -j**3 - 21*j**2 - 152*j - 452. Determine o(-11).
10
Let x(r) = -35273*r + 282192. Calculate x(8).
8
Let h(w) = -1232*w + 1029958. Give h(836).
6
Let u(z) = -8311*z - 772981. Calculate u(-93).
-58
Let s(d) = -2*d**2 - 2761*d + 2759. Determine s(1).
-4
Let g(t) = -6*t**2 - 7615*t - 2005616. Give g(-373).
5
Let g(q) = -q**3 - 1634*q**2 + 3267*q + 6. Determine g(2).
-4
Let k(q) = -31*q**2 - 1146*q + 4601. Give k(4).
-479
Let b(u) = -u**2 - 16207*u + 275919. Calculate b(17).
111
Let k(p) = p**3 + 36*p**2 - 23*p + 414. What is k(-38)?
-1600
Let s(t) = -t**3 - 35*t**2 - 71*t + 49. Determine s(-33).
214
Let k(p) = 3282*p + 98871. Calculate k(-30).
411
Let k(t) = -112*t + 5752. What is k(49)?
264
Let b(z) = 105*z**2 - 3961*z + 2818. Calculate b(37).
6
Let p(h) = 3*h**3 + 78*h**2 - 168*h - 3438. Give p(-29).
-6135
Let j(p) = -3*p**3 - 12*p**2 + 1797*p + 12491. Give j(-7).
353
Let k(i) = i**3 - 43*i**2 - 132*i - 250. Give k(46).
26
Let k(b) = b**3 + 57*b**2 + 408*b + 5204. What is k(-51)?
2
Let q(j) = j**3 - 55*j**2 - 409*j + 22481. Give q(55).
-14
Let r(a) = -a**3 + 118*a**2 + 701*a - 82727. Determine r(118).
-9
Let r(a) = 3728*a + 4947085. Determine r(-1327).
29
Let g(q) = 7613*q - 7521653. Give g(988).
-9
Let t(s) = 7*s**3 - 137*s**2 + 450*s - 178. Determine t(16).
622
Let z(m) = 191*m**3 + 4202*m**2 + 14*m + 116. Calculate z(-22).
-192
Let s(l) = 4*l**3 - 1674*l**2 - 840*l + 839. What is s(419)?
1
Let b(x) = 6517*x + 289. Determine b(0).
289
Let a(z) = -8*z**2 + 994*z - 6558. Give a(7).
8
Let d(a) = 3285*a + 18837. Determine d(-6).
-873
Let h(g) = -138*g + 5586. Give h(38).
342
Let v(i) = -i**3 + 20*i**2 + 30*i - 601. Determine v(20).
-1
Let b(v) = v**3 - 7224*v**2 - 232193*v - 47. What is b(-32)?
-15
Let o(r) = 265*r**2 - 87713*r - 663. Give o(331).
-1
Let g(j) = -131*j - 1645. Determine g(-10).
-335
Let v(w) = 151*w + 220. Determine v(-2).
-82
Let l(w) = 22*w**2 + 1565*w + 3305. Give l(-69).
62
Let x(l) = -4*l**2 - 529*l - 5448. What is x(-121)?
-3
Let a(i) = i**2 + 555*i - 140614. Calculate a(189).
2
Let i(g) = 5*g**2 + 1013*g - 120462. Give i(84).
-90
Let s(y) = 162*y - 7575. Give s(43).
-609
Let n(c) = 5044*c - 22390. Give n(5).
2830
Let x(j) = -j**3 + 13*j**2 - 444*j + 5778. Determine x(13).
6
Let p(r) = -2*r**3 - 267*r**2 + 44066*r - 185. What is p(96)?
7
Let u(m) = -m**3 + 835*m**2 + 5935*m - 34501. Calculate u(842).
21
Let q(l) = -l**3 - 74*l**2 + 224*l - 543. What is q(-77)?
-4
Let d(v) = -2*v**2 + 447*v + 87615. Determine d(-125).
490
Let r(m) = 1080*m + 5088. Give r(-5).
-312
Let f(y) = 4*y**2 - 921*y + 14758. Give f(17).
257
Let w(t) = -t**3 + 92*t**2 + 45*t - 4342. What is w(92)?
-202
Let s(o) = -4224*o + 20950. What is s(5)?
-170
Let k(a) = -a**3 - 38*a**2 - 235*a - 21. What is k(-8)?
-61
Let i(l) = -2*l**2 - 184*l - 1211. Calculate i(-85).
-21
Let i(k) = 144*k + 4743. Give i(-38).
-729
Let y(f) = -75*f**3 + 63*f**2 + 143*f + 39. Determine y(-2).
605
Let a(u) = 21*u**2 + 1347*u - 19. Give a(-64).
-211
Let k(w) = 22*w**3 + 152*w**2 - 443*w + 10. What is k(3)?
643
Let l(x) = -x**3 - 62*x**2 - 14*x - 358. What is l(-62)?
510
Let p(o) = 13*o**2 - 222*o - 8206. Give p(-18).
2
Let a(r) = -2*r**2 + 19930*r + 139631. What is a(-7)?
23
Let t(q) = 374*q**2 + q + 20. Calculate t(0).
20
Let t(o) = 448249*o + 9861476. What is t(-22)?
-2
Let i(u) = 18*u**3 - 161*u**2 + 130*u + 46. Calculate i(8).
-2
Let n(k) = -6846*k + 5381011. Calculate n(786).
55
Let j(z) = 5*z**2 - 158*z + 1033. Determine j(10).
-47
Let n(d) = 3*d**2 - 1651*d - 83599. Give n(597).
-19
Let o(y) = -63308*y + 506460. What is o(8)?
-4
Let k(t) = t**3 - 88*t**2 - 538*t + 24111. Calculate k(91).
-4
Let s(l) = -l**3 - 20*l**2 + l - 2296. Calculate s(-24).
-16
Let s(h) = 571603*h - 4001222. Calculate s(7).
-1
Let p(u) = -36*u**2 + 406*u + 30. Calculate p(10).
490
Let i(o) = -23*o**3 + 1133*o**2 + 864*o - 16. What is i(50)?
684
Let q(h) = 3*h**2 - 303*h - 46. What is q(101)?
-46
Let n(k) = 11735*k - 117058. Determine n(10).
292
Let l(i) = 90*i**3 + 18179*i**2 - 201*i - 353. Determine l(-202).
-555
Let i(h) = 4270399*h - 12811201. What is i(3)?
-4
Let l(p) = p**2 - 5 | {
"pile_set_name": "DM Mathematics"
} |
5. Let b be (-60)/u - 4/(-6). Calculate k(b).
-5
Let a(w) = -w**3 - 6*w**2 - 6*w - 2. Suppose 23*p = -11 - 35. Determine a(p).
-6
Let k(z) = -3*z + 9. Let y(s) = 8*s - 26. Let i(d) = 11*k(d) + 4*y(d). Let t be i(-7). Suppose -t*p - 2*p = -28. Let a(n) = -n**3 + 7*n**2 + n - 4. Give a(p).
3
Let r(x) = -x**2 - 3*x. Suppose -7*l - 148 = 713. Let y be l/6 + (-2)/4. Let u = y + 18. What is r(u)?
0
Let h(s) = -2*s - 5. Let w(i) = 7*i + 14. Suppose 5*m + 0*y + 12 = 2*y, 4 = -4*m + 3*y. Let g(b) = m*w(b) - 11*h(b). Let c = 2 - 3. Calculate g(c).
5
Let p = -316 - -446. Let l(n) = n**2 - p*n + 128*n + 3 + 0. What is l(2)?
3
Let f(l) = -l**3 - 2*l**2 + 5*l - 3. Suppose 2*g + 5 - 7 = 5*i, -3*i - 18 = 3*g. Calculate f(g).
9
Let h(g) be the third derivative of g**6/120 - 2*g**5/15 - g**4/12 + 3*g**3/2 + g**2 - 2*g. Suppose -5*u + 17 = -v, 2*v + 4 + 0 = 4*u. Calculate h(v).
-7
Let o be (-1 - -1 - 6/(-21))*7. Let k(c) = 113 + o*c - c - 113. Calculate k(5).
5
Let c(t) = -t**3 - 2*t**2 + 10*t + 1. Let n be (7 - 2) + (-48)/12 + 2. Give c(n).
-14
Let z(x) = 3*x**2 - x - 6. Let o(m) = -10*m**2 + 4*m + 18. Let q(c) = 2*o(c) + 7*z(c). Let k(w) = -w**3 + 13*w**2. Let y be k(13). Give q(y).
-6
Let n(y) be the third derivative of 1/2*y**3 - 30*y**2 - 1/24*y**4 + 0*y + 0. Calculate n(10).
-7
Suppose -2*g - 16 = -6*g. Suppose -3*t + g*t - 2 = 0. Suppose -i + s - 3*s - 10 = 0, -5*s - 24 = t*i. Let y(m) = -m**2 - 3*m + 1. Give y(i).
3
Let p = 53 - 39. Suppose -3*c = -x + 14, 0 = -6*c + c + 4*x - p. Let i(s) = s. Calculate i(c).
-6
Let l = 11 + -9. Let r(d) be the second derivative of -d**3/6 + 11*d + 4. Determine r(l).
-2
Let j(g) = 7*g**2 + 4*g + 115. Let c(w) = -3*w**2 - 5*w - 58. Let s(z) = -5*c(z) - 2*j(z). Give s(-11).
-6
Let d(o) = -2*o**2 + 19*o - 16*o + 3*o**2 + 3 + 0*o**2. Calculate d(-2).
1
Let h(j) = 5*j + 1 - 4*j + 0. Suppose -5*m + f - 92 = 0, 11*f + 72 = -3*m + 6*f. Let o = m + 25. What is h(o)?
7
Let c(u) = u**2 - 13*u - 14. Let b(g) = -g**3 + 28*g**2 + 60*g + 13. Let v be b(30). What is c(v)?
-14
Suppose 4*l + 4*g - 3 = -35, 0 = 4*l + g + 41. Let r(w) = -w**2 - 11*w + 11. Give r(l).
11
Let n(c) = -c**2 - 5*c + 7. Let p(g) = g**2 - 11*g - 5. Let d = 11 + 0. Let b be p(d). Give n(b).
7
Let f be 35/28*(-24)/(-10). Suppose 2*n + 0 - 1 = -c, 0 = n + 4*c + 10. Let w(o) = -n*o + 1 + 4*o - o. Calculate w(f).
4
Suppose 0 = 48*k - 43*k - 25. Suppose -6*h + 2*h - 19 = x, 35 = -5*h - k*x. Let a(d) = d + 1. Calculate a(h).
-3
Let h(p) = -p**2 + p - 30. Let g = 1026 + -1026. What is h(g)?
-30
Let t be (-6)/(-2)*((-120)/(-18) - 5). Let a(m) = m**2 - 5*m + 7. Let b be a(t). Let h(k) = -k**2 + 9*k - 10. What is h(b)?
4
Suppose 0 = -2*f + 49 - 71. Let v(t) = 3*t + 35. Calculate v(f).
2
Suppose -3*o - 12*s + 9*s = -21, -4*o + 8 = -s. Let h(j) = j**2 - 3*j + 4. Determine h(o).
4
Suppose 0 = 10*t - 14 - 16. Let i(w) be the second derivative of 0 - 3*w - t*w**2 + 1/2*w**3. Determine i(5).
9
Let c = 246 + -246. Let s(l) = -l - 9. Calculate s(c).
-9
Let w(a) = a**3 - 2*a**2 + 3. Suppose 15*k = 4*k + 44. What is w(k)?
35
Let i(x) = -x + 6. Let p be i(13). Let l(r) = -r**3 - 6*r**2 + 7*r - 3. Determine l(p).
-3
Let d(w) be the first derivative of -w**3/3 + 6*w**2 + 13*w - 59. Calculate d(13).
0
Let u be (3/(-9))/(2/18). Let p(n) = 2*n**2 + 5*n - 2. Let o(x) = -3*x**2 - 5*x + 1. Let s(f) = u*o(f) - 4*p(f). Let q = -40 - -45. Determine s(q).
5
Let r(j) = -j**3 + j**2 - j - 1. Let z be r(0). Let s(v) = 23 + 6*v - 48 - 4*v + 25. Calculate s(z).
-2
Let w(v) be the second derivative of -v**5/20 - v**4/2 - v**3/3 - 6*v**2 + 526*v. Determine w(-6).
0
Let r(h) = -h**2 + h + 1. Let l(g) = -4*g**2 + 5*g + 1. Let q = -8 + 10. Suppose -q*t - 18 + 8 = 0. Let b(w) = t*r(w) + l(w). What is b(-3)?
5
Suppose -4*r = -12, 26 - 7 = -2*m - 3*r. Let l(y) = -y**2 - 12*y + 9. Give l(m).
-19
Let b(y) = -y**3 + 9*y**2 + 8*y + 23. Let u be b(10). Let o(w) = 5*w**2 + w**3 + 0 + u - 5*w**2 + w. What is o(0)?
3
Let h(m) = -3*m**2 + 7*m + 1. Let n be 13 + (-11)/((-11)/(-10)). What is h(n)?
-5
Let c = 1690 + -1686. Let y(i) be the first derivative of -c*i**2 - i - 12 - 1/3*i**3. Calculate y(-6).
11
Suppose -4*p + 107 - 43 = 0. Let c = p - 13. Let s(x) = -2 - 3*x + 0*x - x**2 - 4*x + c*x. Give s(-4).
-2
Let o(z) = 3*z - 4*z - 324 + 120 + 106 + 118. What is o(17)?
3
Suppose -2*d - 3*g - 5 = 0, -2*d + 3*g + 9 = -4. Let j(s) = -8 + 0*s**2 - 6*s + s - 4*s - s**d. Give j(-7).
6
Let d = 21 + -15. Suppose 0 = -b - b - 5*o - 16, -b - d = 2*o. Let g(w) = w**2 - 2*w + 3. Determine g(b).
3
Let s(b) = -3*b**3 + 217*b**2 - 73*b + 78. Let n be s(72). Let m be (2/(-4))/((-3)/12). Let q(o) = 3*o + 6 - 3 - m*o. Determine q(n).
9
Let i(h) be the first derivative of h**4/4 + 2*h**3 + 7*h**2/2 + 2*h - 684. Give i(-5).
-8
Let p(f) = 4 + 1328*f - 1324*f - 5 - f**2. What is p(3)?
2
Let s(n) be the second derivative of -n**3/6 + 23*n**2/2 + 179*n. What is s(12)?
11
Let q(i) = 2*i - 7. Let t = 420 - 412. Determine q(t).
9
Let d = 3 - 5. Let y(b) = b**3 - 5*b**2 - b + 7. Let a be y(5). Let v(o) = -3*o**a + 11*o + 2*o**2 - 10*o. Determine v(d).
-6
Let w(a) = -a**2 - 3. Suppose 4*d + 4*p - 16 = 0, 4*p = -6 - 14. Suppose -5*k - 2*v + d = v, 3*v = -4*k + 9. Determine w(k).
-3
Let m(c) be the third derivative of -7*c**4/24 - c**3/6 + c**2. Let u(p) = -p**2 - 44*p - 44. Let x be u(-43). What is m(x)?
6
Let a(u) = u - 1. Suppose 3*k - 4*y - 50 = 0, -3*k = -2*y - 38 - 8. Determine a(k).
13
Suppose -q + 11 = 4*r - 0, -2*r = -q + 29. Let p = 26 - q. Suppose 5*u - 7 = p. Let b(x) = -x**3 + 3*x - 1. Determine b(u).
-3
Let l(c) = 5*c + 6*c**2 - 3*c - c**3 + 8 - 3*c. Let q(z) = z**3 + 3*z**2 - 4*z - 6. Let h(m) = -3*m**2 + 2*m + 2. Let v be h(-1). Let r be q(v). Give l(r).
2
Let h(v) = -11*v**2 - 9 + v + 14 - 4. Let n(j) = -j**3 - 9*j**2 - 7*j + 7. Let x be n(-8). What is h(x)?
-11
Let z(g) = 6*g**3 - g**2 + g + 2. Let q be z(-1). Let t(m) = -m**2 - 7*m - 13. Calculate t(q).
-7
Let k be 4/22 - 126/(-33). Let d(z) be the third derivative of -z**4/24 - z**3/2 + z**2 - 30*z. Calculate d(k).
-7
Let c be (-2)/(-6)*-4 + 10/(-6). Let b(r) = r**3 - 2*r**2 + 3*r. Let f be b(2). Let k(j) = -4 + f*j + 3 - 3*j - j**3. What is k(c)?
17
Let r(o) = 3*o - 1. Let y(q) = -10*q + 5. Let z(f) = -7*r(f) - 2*y(f). Calculate z(3).
-6
Let x(s) be the second derivative of 4*s**3/3 + 59*s**2/2 + 736*s. Determine x(-8).
-5
Suppose b + 10 = l, -4*b + 2 = -2*l + 30. Let v be (3 - 21/9)/((-1)/l). Let x(u) = -2*u + 5. Calculate x(v).
13
Let n(d) = -2*d**2 + 4*d + 16. Let v(w) = -3*w**2 + 6*w + 23. Let x(c) = -7*n(c) + 5*v(c). What is x(-2)?
-5
Let b = -1107 + 1100. Let n(t) = t**3 + 9*t**2 + 14*t - 3. Give n(b).
-3
Let v be 2/8 - (124/(-16) + 6). Suppose -t + j = v*t + 11, -4 = 4*j. Let w(h) = h**3 + 3*h**2 - 3*h - 2. What is w(t)?
-6
Let g(y) = -4*y**3 + 3*y**2 + 2*y + 3. Let n(f) = 3*f**3 - 3*f**2 - 2*f - 3. Let r(v) = -2*g(v) - 3*n(v). Let z be ((-8)/(-5))/((-16)/(-40)). Give r(z).
-5
Let z(l) = l**2 + 8*l + 7. Let w = 81 + -77. Suppose 1 = -b - w. Calculate z(b).
-8
Let x = 746 + -741. Let w(v) = -v**3 + 5*v**2 - v - 6. Give w(x).
-11
Let c = 206 - 199. Let o(l) = l**2 - 6*l + 8. Give o(c).
15
Let z(i) be the third derivative of i**6/120 + i**5/15 + i**4/12 + i**3/3 + 7*i**2. Let m be z(-4). Let r(l) = -l**2 - 7*l - 1. What is r(m)?
5
Let r(m) = m**3 - 1. Let a be (-2)/(-1*(-8)/4)*1. Let o(y) = -y - 1. Let z(h) = h**2 + 4*h + 4. Let i(j) = 2*o(j) + z(j). Let n be i(a). Calculate r(n).
0
Let k(v) = -4*v - 18. Let l be k(-6). Suppose 20*y = 17*y + l. Let u(f) = f**3 - 3*f**2 + 2*f + 1. Determine u(y).
1
Let z(b) be the third derivative of -b**9/60480 - b**8/2520 - b**7/5040 - b**6/360 + b**5/15 + 4*b**2. Let j(g) be the third derivative of z(g). Give j(-8).
6
Let o(b) = -10 + 5*b + 7 + 4. Suppose 5*l = 3*m - 37, m + 20*l + 21 = 15*l. Calculate o(m).
21
Let o(h) = -46*h - 25. Let l(b) = 11*b + 6. Let s(u) = -9*l(u) - 2*o(u). Calculate s(3).
-25
Let p(n) = -9*n - 8. Let z(d) = 1. Let a(o) = p(o) + 3*z(o). Determine a(-4).
31
Suppose -71*d + 30 = -69*d. Let c(x) = -d*x - 5 + 4 - 5 + 12*x. Give c(-5).
9
Let f(j) = 6*j - 5*j**2 - 3*j - 6*j**2 + 3 + j**3 + 4*j**2 - 4*j. What is f(7)?
-4
Let r = -64 + 68. Suppose -2*k + 6*k + 13 = q, -33 = r*q + k. Let g(o) = o + 3. What is g(q)?
-4
Le | {
"pile_set_name": "DM Mathematics"
} |
l(w) and 6.
12
Let f = 109 + -106. Suppose -f*m = -2*m - 120. Calculate the common denominator of 23/38 and (-4)/(-6) + (-452)/m.
190
Suppose 0 = -2*y + 37 + 51. Suppose 63*p - 8961 = 2127. Calculate the smallest common multiple of p and y.
176
Let q = 9757/84 + -886/7. Let p be 1053/(-26) + 9/6 + -1. Calculate the common denominator of 3 - 114/p - (11 + -4) and q.
60
Let d(j) = -3 + 3 + 5 - 3*j - 4. Let i = -9792 + 9798. Calculate the smallest common multiple of i and d(-1).
12
Suppose -109 = -8*w + 7*w - m, 2*m = -4*w + 428. What is the common denominator of 2/5 + 88/w and 125/36?
252
Let z be (-4)/(-10) - (-72)/20. Let n = 386 + -326. Suppose 50 = 2*x - h - h, -2*x + z*h = -n. What is the smallest common multiple of x and 20?
20
Let q = -2062 + 2030. Let w be (1 - 0)*(2 + 38). What is the common denominator of (6/123)/(q/w) and 101/6?
246
Let b = -16933 + 35901. What is the common denominator of 4/(-34) + (5 - b/4080) and 113/70?
210
Let f be (3 + -18)/5 + 3. Let a = 10 - f. What is the lowest common multiple of 28 and a?
140
Let f be (-1 + 2)/(48/15 + -3). Let z be 75/1 - f/(-1). Suppose z = 4*y - 2*y. Calculate the smallest common multiple of 3 and y.
120
Let y = 11441/8244 + 1/916. Let g = -15310/841 - 6614199/58870. Let u = g - -874/7. Find the common denominator of u and y.
90
Let q be 111/21 - (-2)/(-7). What is the common denominator of (q/(-125))/(2/(-5)) and (-1568)/11760 - (-308)/(-15)?
30
Suppose -t = r + 114 - 140, -3*t + 18 = 0. Calculate the common denominator of 85/474 and r.
474
Find the common denominator of ((4/27)/4)/((-46)/(-9798)) and 94/(-215) + 12/(-30).
387
Let q be (3 - 85/(-40)) + -2 - 2. Let u = q - -79/24. Find the common denominator of u and 91/8.
24
Find the common denominator of -6 + 9 + (-44652)/15336 and 22/27.
3834
Let k = -50138/5 + 72799981/7260. What is the common denominator of k and -27/56?
20328
Find the common denominator of 79/60 and (79122/(-6588) + 84/7)*(-21)/2.
3660
Let c be 9202/18 - (-9 + (-830)/(-90)). Suppose -17*f + c = -50. Calculate the lowest common multiple of f and 33.
33
Suppose 3*c - 11 = -4*g, -4*c + 2*g + 27 = c. Let r = 11 - c. What is the lowest common multiple of r and 42?
42
Let c = -717598/5 - -232501571/1620. Find the common denominator of c and -61/90.
1620
Suppose -3*z - z + 16 = 0. Suppose 3*o + 2*q - 58 = 0, z*q + q = -3*o + 64. Let g = 45 - 33. Calculate the lowest common multiple of g and o.
36
Let v = -52507 - -35494751/676. What is the common denominator of 11/2 and v?
676
Suppose 71920 = -21*h + 7891. Let u = h + 128141/42. Find the common denominator of -53/5 and u.
210
Suppose 0 = -23*q + 22*q, 5*q = 3*z + z - 12. Calculate the smallest common multiple of z and 163.
489
Let q be ((-15)/4)/((-1)/4). Let w = q - 10. Let t(y) = 2*y**2 - 147*y + 631. Calculate the lowest common multiple of w and t(69).
10
Suppose 47*m - 3608 = 36*m. Let g = m + -306. What is the lowest common multiple of g and 38?
418
Suppose -4*g + 2*y = -4410, -11*g = -14*g - y + 3315. Calculate the lowest common multiple of g and 138.
1104
Suppose 5*p = -14*p - 1330. Let z = 43807/16 + -2740. Find the common denominator of z and ((-345)/p)/1 + -1.
112
What is the smallest common multiple of 8 and 2767 + -174 + (4/(-6) - 65/15)?
5176
Let m be 1/4 + 73074/56. Let u = m + -183273/140. What is the common denominator of 12 - 15 - (-1065)/240 - 6 and u?
80
Let k = 2318590825/173767219 + 34/1698051. Let b = -3/307 + k. Calculate the common denominator of (-27)/21*((-308)/(-16) + 0) and b.
12
Let s be -2*(111230/45 + 3). Let g = 4943 + s. Let u = -1800 + 32383/18. Calculate the common denominator of g and u.
18
Let y = 213549/8 - 21141617/792. Find the common denominator of 45/16 and y.
1584
Let v(o) = o**3 + 81*o**2 - 487*o + 6. What is the smallest common multiple of v(6) and 23?
4968
Let o be (1 + 274937383765 + 0)*5/(-40100). Let z = o - -34281470. Let q = 1/401 - z. Calculate the common denominator of q and -117/56.
280
Let a be (((-1296)/21)/2)/(26/(-273)). What is the least common multiple of 60*-9*(-6)/a and 8?
40
Let t(f) = 8*f**2 - 6*f + 24. Calculate the lowest common multiple of 1212 and t(2).
13332
Suppose 0*u = -10*u + 1400. Calculate the smallest common multiple of u and 45.
1260
Let w = 12136 - 11916. Calculate the smallest common multiple of 32 and w.
1760
What is the common denominator of (-219)/(-30) - (-6)/(-3) and (-1647)/45600 + 17/(-323)?
800
Suppose 256*c - 4*t = 260*c - 6524, 9*c - 2*t = 14646. Calculate the least common multiple of 1184 and c.
13024
Let m(r) = -r**3 + 3*r**2 - r + 18. Let c be m(4). What is the common denominator of 39/275 and ((-100)/8 + -3 - c) + 2?
550
Suppose -5*w = k - 2*k - 393, 162 = 2*w - 2*k. Let o = 13 - 31. Find the common denominator of ((-18)/80)/(o/w) and 19/16.
80
Suppose -6*f + 339 = 333. Suppose -l - f = h, 11*l - h + 3 = 13*l. Let w = -20/19 - 1037/152. Find the common denominator of l and w.
8
Let n = 4369 + -113573/26. Let p = 1243/15 - 426/5. What is the common denominator of n and p?
78
Let m(y) = y**2 - 6*y - 7. Let o be (-1)/(-2)*18 - 3. Let t be m(o). Let z(j) = j**2 + 8*j + 12. What is the lowest common multiple of z(t) and 6?
30
Suppose 723 - 19 = 85*b - 656. What is the lowest common multiple of 80 and b?
80
Suppose -3*z = -4*i - 50, -3*z - 5 = -z + 5*i. Suppose 0 = 3*d - 3, 6*d - z*d = -2*j + 374. Find the common denominator of 70/27 and 77/j + -1 + 0.
27
Calculate the lowest common multiple of 35 and (69/9)/(220/3300).
805
Let r = -5/43 + 22/559. Let i = -190/273 - r. Calculate the common denominator of i and 7/3.
21
Suppose 0*n + 5*q = -n + 22, 3*q = -n + 24. Let h(v) be the first derivative of 3*v**2/2 + 6*v - 14. What is the smallest common multiple of h(3) and n?
135
Let m(q) = -q**3 + 14*q**2 - 21*q - 23. Calculate the smallest common multiple of 46/5*((-665)/38)/(-7) and m(12).
299
Let x(i) be the third derivative of i**5/60 - 13*i**4/12 - 25*i**3/2 - 18*i**2. What is the least common multiple of 878 and x(29)?
5268
Let p be 24/(-32) - (1 + 159/12). Let u = p - -168. What is the lowest common multiple of u and 24?
1224
Let d = 40/4047 + -153281/631332. Find the common denominator of d and 44/3159.
12636
Let f = -2341 + 28033/12. Let i = 25243 - 1363211/54. Find the common denominator of i and f.
108
Let g be 224/105 + (-2)/15. Suppose -n - 5451 = g*n + 2*u, 3*u = -4*n - 7269. Let b = -21665/12 - n. Calculate the common denominator of -79/12 and b.
12
Let o be (1212/(-1010))/(16/(-10) - -1). What is the least common multiple of 87 and 20054/370 + o + (-22)/10?
1566
Suppose 4*a + g + 3 = -44, 2*g = a + 14. Suppose 5*w - 28 = 102. Let c = w + a. What is the smallest common multiple of c and 16?
112
Let i(d) = d**3 - 54*d**2 - 291*d + 60. What is the lowest common multiple of i(59) and 407?
3256
Let l(x) = -x**3 - 10*x**2 - 16*x + 3. Let n be l(-8). Suppose g = -3*r + n, 5*r + 6 = g - 5. Calculate the least common multiple of 8 and g.
24
Let u = -45114/11 - -3520091/858. Let z be (67/2)/(4/232). Let a = z + -31123/16. What is the common denominator of a and u?
624
Let s be (-3709)/3 + (3 - 2). Let j = s + 1220. Calculate the common denominator of 25/14*49/(-42) and j.
12
Suppose 5*x + 3*g + 5 = -2*g, g - 8 = 2*x. Let m = -258169/20 + 12911. What is the common denominator of m and (x/(108/87))/(9/30)?
180
Let j = 187 + -297. Let w = 158 + j. What is the least common multiple of w and 10?
240
Let l = -2172 + -1790. Let k = -23839/6 - l. Let t = 183067/35430 - 2/5905. Find the common denominator of t and k.
6
Let p(v) = 4*v**2 + 50*v + 22. Let y be p(-16). Let u = y - 1941/8. Calculate the common denominator of u and 111/28.
56
Suppose -5*f + 0*o - 3*o + 822 = 0, 0 = -5*o - 5. Suppose 7*w - 473 = -f. Calculate the smallest common multiple of w and 56.
616
Suppose -20 = -9*d - 107 + 303. Suppose 0 = 4*h - 67 - 293. Suppose k = -2*k + h. What is the least common multiple of k and d?
120
Suppose 399*j = 400*j - 2. Let z(g) = -63*g + 130. What is the smallest common multiple of 32 and z(j)?
32
Suppose 2*b - 19 = -7. Let g(p) = -p**2 + 5*p + 4. Let v be g(b). Calculate the lowest common multiple of 4 and 4 + 4/v + 4.
12
Suppose 0*l + 3*l - 3*w = 1569, -4*l - w = -2112. Suppose l + 43 = y - 4*t, -3*y + 2*t = -1660. What is the smallest c | {
"pile_set_name": "DM Mathematics"
} |
/5 = 0?
-2, 318
Factor -4*u**2 - 56*u - 96.
-4*(u + 2)*(u + 12)
Factor 51*j**2/2 + 45*j/2 - 3.
3*(j + 1)*(17*j - 2)/2
Factor 3*o**4/2 + 9*o**3/2 - 15*o**2/2 - 9*o/2 + 6.
3*(o - 1)**2*(o + 1)*(o + 4)/2
Factor -s**3 - 14*s**2 - 44*s - 40.
-(s + 2)**2*(s + 10)
Find a, given that 2*a**5 + 131*a**4/2 + 451*a**3/2 + 467*a**2/2 + 85*a/2 - 29 = 0.
-29, -2, -1, 1/4
Factor -5*v**2 + 35*v.
-5*v*(v - 7)
Factor 2*q**2/11 - 13616*q/11 + 23174432/11.
2*(q - 3404)**2/11
Suppose -9*w**5 + 24*w**4 + 9*w**3 - 36*w**2 - 12*w = 0. Calculate w.
-1, -1/3, 0, 2
Factor -2*a**3/11 - 10356*a**2/11 - 17874456*a/11 - 10283770352/11.
-2*(a + 1726)**3/11
Factor -z**2/4 + 33*z/4.
-z*(z - 33)/4
Factor 4*z**2/7 - 150*z/7 + 74/7.
2*(z - 37)*(2*z - 1)/7
Find f such that f**4 + 2*f**3 - 24*f**2 = 0.
-6, 0, 4
Let -3*r**3 + 39*r**2 - 153*r + 189 = 0. What is r?
3, 7
Factor -z**4 - 80*z**3 + 163*z**2 - 82*z.
-z*(z - 1)**2*(z + 82)
Factor 5*w**3/4 + 1537*w**2/4 + 307*w/2.
w*(w + 307)*(5*w + 2)/4
What is d in -d**5/2 + 12*d**4 - 183*d**3/2 + 148*d**2 + 864*d - 2304 = 0?
-3, 3, 8
Find b, given that b**4 + 8*b**3 + 18*b**2 - 27 = 0.
-3, 1
Solve n**4/3 + n**3 - 5*n**2 + 17*n/3 - 2 = 0 for n.
-6, 1
Solve 16*l**5/7 - 6*l**4/7 - 48*l**3/7 + 50*l**2/7 - 12*l/7 = 0.
-2, 0, 3/8, 1
Find x, given that -8*x**2 + 2540*x - 2532 = 0.
1, 633/2
Find r such that -4*r**5 + 10*r**4 - 2*r**3 - 4*r**2 = 0.
-1/2, 0, 1, 2
Suppose -4*z**2/9 - 212*z/9 = 0. What is z?
-53, 0
Let 4*m**2 + 452*m + 448 = 0. Calculate m.
-112, -1
Let t**2/3 + 97*t/3 + 460/3 = 0. Calculate t.
-92, -5
Factor -i**5/5 - 161*i**4/5 - 1247*i**3 + 19681*i**2/5 - 20008*i/5 + 6724/5.
-(i - 1)**3*(i + 82)**2/5
Factor 24*t**2/7 + 3*t/7 - 27/7.
3*(t - 1)*(8*t + 9)/7
Solve -2*i**3/13 + 230*i**2/13 - 8704*i/13 + 108664/13 = 0.
34, 47
Let -b**3/4 + 30*b**2 - 837*b - 3844 = 0. What is b?
-4, 62
Let -3*t**3 + 6*t**2 + 27*t - 54 = 0. Calculate t.
-3, 2, 3
Factor 5*z**4 - 40*z**3 + 30*z**2 + 40*z - 35.
5*(z - 7)*(z - 1)**2*(z + 1)
Factor s**4 - 11*s**2 + 18*s - 8.
(s - 2)*(s - 1)**2*(s + 4)
Factor 3*g**3 + 149*g**2 + 238*g - 96.
(g + 2)*(g + 48)*(3*g - 1)
Find v, given that -2*v**5/3 + 26*v**4/3 + 4*v**3/3 - 52*v**2/3 - 2*v/3 + 26/3 = 0.
-1, 1, 13
Factor 3*k**3/5 + 17*k**2/5 + 22*k/5 + 8/5.
(k + 1)*(k + 4)*(3*k + 2)/5
Solve -3*a**5/4 + 3*a**4/4 + 57*a**3/4 + 33*a**2/4 - 45*a/2 = 0.
-3, -2, 0, 1, 5
Factor -o**3/3 - o**2/3 + o/3 + 1/3.
-(o - 1)*(o + 1)**2/3
Factor -2*d**3 + 4*d**2 + 30*d - 72.
-2*(d - 3)**2*(d + 4)
Let 5*t**5 + 50*t**4 + 180*t**3 + 270*t**2 + 135*t = 0. What is t?
-3, -1, 0
Factor u**5/4 + 74*u**4 + 147*u**3.
u**3*(u + 2)*(u + 294)/4
Solve s**5/3 - 8*s**4/3 - 20*s**3/3 - 2*s**2/3 + 19*s/3 + 10/3 = 0.
-1, 1, 10
Suppose 2*w**4 - 158*w**3 + 3624*w**2 - 19872*w + 31104 = 0. What is w?
3, 4, 36
Factor -4665027*b**3 - 9345018*b**2 - 29940*b - 24.
-3*(b + 2)*(1247*b + 2)**2
Factor -5808*s**4 - 35112*s**3 - 53859*s**2 - 2394*s - 27.
-3*(s + 3)**2*(44*s + 1)**2
Determine r, given that -r**2/3 - 4*r/3 = 0.
-4, 0
Factor -5*w**4 - 80*w**3 - 140*w**2.
-5*w**2*(w + 2)*(w + 14)
Factor 3*q**2 + 66*q + 63.
3*(q + 1)*(q + 21)
Factor 3*s**2 - 252*s.
3*s*(s - 84)
Factor 4*h**2 + 7776*h + 3779136.
4*(h + 972)**2
Factor -2*c**2/15 + 18*c/5 - 304/15.
-2*(c - 19)*(c - 8)/15
Find l, given that 5*l**2 + 35*l - 150 = 0.
-10, 3
Let -2*q**2/13 - 2*q + 28/13 = 0. What is q?
-14, 1
Let 3*g**4 + 15*g**3 + 24*g**2 + 12*g = 0. What is g?
-2, -1, 0
Solve 3*o**5 + 1227*o**4 + 166455*o**3 + 7376217*o**2 - 15428118*o = 0.
-137, 0, 2
Suppose 2*t**5/7 - 52*t**4/7 - 298*t**3/7 - 380*t**2/7 + 232*t/7 + 496/7 = 0. Calculate t.
-2, 1, 31
Factor -2*i**4/11 - 1132*i**3/11 - 213192*i**2/11 - 13288212*i/11 + 13502538/11.
-2*(i - 1)*(i + 189)**3/11
Let -5*d**4 + 20*d**3 + 85*d**2 - 300*d = 0. Calculate d.
-4, 0, 3, 5
Factor 5*c**5 - 50*c**4 + 40*c**3 + 50*c**2 - 45*c.
5*c*(c - 9)*(c - 1)**2*(c + 1)
Suppose 2*j**3 + 28*j**2 - 34*j - 60 = 0. Calculate j.
-15, -1, 2
Factor 2*s**2/9 + 140*s/9 - 592/9.
2*(s - 4)*(s + 74)/9
Determine g so that -3*g**3/7 + 3*g**2/7 + 12*g/7 - 12/7 = 0.
-2, 1, 2
Factor 2*q**2/13 - 96*q/13 + 1152/13.
2*(q - 24)**2/13
Factor 12*g**4 + 4*g**3.
4*g**3*(3*g + 1)
Factor -2*l**2/19 - 902*l/19 + 904/19.
-2*(l - 1)*(l + 452)/19
Solve b**4 + 106*b**3 - 4*b**2 - 424*b = 0.
-106, -2, 0, 2
Factor -2*a**3 + 26*a**2 - 44*a.
-2*a*(a - 11)*(a - 2)
Factor 6*h**3 + 2452*h**2 + 4074*h + 1628.
2*(h + 1)*(h + 407)*(3*h + 2)
Factor -2*v**2/7 + 4576*v/7 - 2617472/7.
-2*(v - 1144)**2/7
Suppose 2*t**5/13 - 194*t**4/13 - 808*t**3/13 = 0. Calculate t.
-4, 0, 101
Factor -2*d**4/9 + 2*d**3/3 - 4*d**2/9.
-2*d**2*(d - 2)*(d - 1)/9
Factor -2*o**2 - 18*o + 20.
-2*(o - 1)*(o + 10)
Find i, given that 2*i**3 + 194*i**2 - 196*i = 0.
-98, 0, 1
Factor -h**2/2 + 555*h/2 - 553.
-(h - 553)*(h - 2)/2
Factor m**4 + 34*m**3 + 384*m**2 + 1440*m.
m*(m + 10)*(m + 12)**2
Let 5*g**3 - 460*g**2 + 455*g = 0. What is g?
0, 1, 91
Factor -2*m**3 + 296*m**2/5 - 426*m - 180.
-2*(m - 15)**2*(5*m + 2)/5
Factor 3*b**3 + 59*b**2 - 83*b + 21.
(b - 1)*(b + 21)*(3*b - 1)
Find u such that 2*u**5 + 96*u**4 + 1138*u**3 - 660*u**2 - 7488*u + 6912 = 0.
-24, -3, 1, 2
Factor 3*c**3/2 - 3*c/2.
3*c*(c - 1)*(c + 1)/2
Factor 2*j**5 - 22*j**4 + 36*j**3 + 4*j**2 - 38*j + 18.
2*(j - 9)*(j - 1)**3*(j + 1)
Determine h so that 4*h**4 - 40*h**3 + 96*h**2 + 128*h - 512 = 0.
-2, 4
Factor -155*z**4 - 165*z**3 - 10*z**2.
-5*z**2*(z + 1)*(31*z + 2)
Factor -2*o**3/5 - 472*o**2/5 - 5474*o + 56644/5.
-2*(o - 2)*(o + 119)**2/5
Factor -k**5/4 + 199*k**4/4 + 50*k**3.
-k**3*(k - 200)*(k + 1)/4
Suppose 3*h**3 - 756*h**2 - 759*h = 0. Calculate h.
-1, 0, 253
Factor 10*w**3 + 38805*w**2 + 37655400*w + 18818000.
5*(w + 1940)**2*(2*w + 1)
Factor -k**3/4 - 837*k**2/4 + 840*k - 841.
-(k - 2)**2*(k + 841)/4
Factor 48*q**2 - 1876*q + 156.
4*(q - 39)*(12*q - 1)
What is j in 8*j**2/3 - 56*j/3 + 98/3 = 0?
7/2
Suppose -3*k**4 - 171*k**3 - 2343*k**2 + 2871*k + 5046 = 0. Calculate k.
-29, -1, 2
Determine b, given that -3*b**5 + 441*b**4 - 15534*b**3 - 49278*b**2 - 50175*b - 16875 = 0.
-1, 75
Factor -4*c**3 - 24*c**2 + 16*c + 96.
-4*(c - 2)*(c + 2)*(c + 6)
Factor x**5 + 9*x**4 + 22*x**3 - 32*x.
x*(x - 1)*(x + 2)*(x + 4)**2
Let 450*n**4 + 6180*n**3 + 20378*n**2 - 5768*n + 392 = 0. Calculate n.
-7, 2/15
Let 28*b**3 + 2*b**2 = 0. Calculate b.
-1/14, 0
What is r in r**3 + 180*r**2 + 8277*r + 15842 = 0?
-89, -2
Let 1116*f**5 + 3312*f**4 + 3612*f**3 + 5096*f**2/3 + 272*f - 32/3 = 0. Calculate f.
-1, -2/3, 1/31
Factor 726*k**3 + 4422*k**2 + 795*k/2 + 9.
3*(k + 6)*(22*k + 1)**2/2
Suppose 3*m**2/4 + 3*m - 45 = 0. What is m?
-10, 6
Let 4*j**4 + 110*j**3 + 822*j**2 + 754*j - 1690 = 0. What is j?
-13, -5/2, 1
Determine p so that -6*p**2/5 + 146*p/5 + 432/5 = 0.
-8/3, 27
Factor 3*i**4 - 84*i**3 + 882*i**2 - 4116*i + 7203.
3*(i - 7)**4
Factor -x**3/3 - 29*x**2/3 - 60*x - 84.
-(x + 2)*(x + 6)*(x + 21)/3
Find c, given that c**4/2 + 21*c**3 - 3*c**2/2 - 64*c - 42 = 0.
-42, -1, 2
Factor h**2/5 + 32*h + 159/5.
(h + 1)*(h + 159)/5
Let 4*n**2/5 - 3232*n/5 = 0. What is n?
0, 808
Find h, given that h**2 + 50*h - 275 = 0.
-55, 5
Determine x, given that 2*x**2 - 19*x + 9 = 0.
1/2, 9
Solve -14*i**5/5 - 88*i**4/5 - 202*i**3/5 - 40*i**2 - 72*i/5 = 0.
-2, -9/7, -1, 0
Suppose j**2 - 107*j - 1170 = 0. Calculate j.
-10, 117
Factor -5*u**2 - 145*u - 500.
-5*(u + 4)*(u + 25)
Let 4*n**3/5 + 76*n**2/5 - 1344*n/5 + 4464/5 = 0. Calculate n.
-31, 6
Suppose 6*m**2/11 - 82260*m/11 + 281946150/11 = 0. What is m?
6855
Factor -2*h**2/3 + 9116*h/3 - 10387682/3.
-2*(h - 2279)**2/3
Factor -5*n**4 + 125*n**3 - 945*n**2 + 2035*n - 1210.
-5*(n - 11)**2*(n - 2)*(n - 1)
Factor -2*c**3/9 - 668*c**2/9 - 56440*c/9 - 110224/9.
-2*(c + 2)*(c + 166)**2/9
Determine q so that -22*q**5/13 - 158*q**4/13 - 138*q**3/13 + 134*q**2/13 + 160*q/13 + 24/13 = 0.
-6, -1, -2/11, 1
Factor 4*q**2 + 396*q.
4*q*(q + 99)
Factor -3*i**2/4 - 55*i/4 + 19/2.
-(i + 19)*(3*i - 2)/4
Factor -2*v**3/11 - 28*v**2/11 - 26*v/11.
-2*v*(v + 1)*(v + 13)/11
Factor 8000*k**5/11 - 17200*k**4/11 + 10460*k**3/11 - 1321*k**2/11 + 62*k/11 - 1/11.
(k - 1)**2*(20*k - 1)**3/11
Let -4*x**4/3 - 20*x**3 + 24*x**2 + 128*x/3 = 0. Calculate x.
-16, -1, 0, 2
Solve -5*j**5 + 205*j**3 - 780*j**2 + 1060*j - 480 = 0 for j.
-8, 1, 2, 3
Factor -2*w**4/13 - 22*w**3/13 + 50*w** | {
"pile_set_name": "DM Mathematics"
} |
ate j(3).
188
Let o(n) = -29*n**3 - 68*n**2 - 2*n - 12. Determine o(-4).
764
Let z(q) = -3*q**3 + 9*q**2 + 13*q - 19. Determine z(6).
-265
Let w(o) = 2*o**2 + 57*o - 1025. Determine w(17).
522
Let k(d) = 2*d**2 - 295*d + 1011. Give k(140).
-1089
Let v(f) = 6436*f - 12969. Give v(2).
-97
Let x(h) = -14*h**3 - 137*h**2 - 214*h + 116. Determine x(-2).
108
Let i(h) = -h**3 + 20*h**2 + 216*h - 1542. Calculate i(26).
18
Let u(o) = -o**3 + 57*o**2 - 12*o + 2695. What is u(58)?
-1365
Let m(w) = 11*w**2 - 419*w - 1874. Give m(-4).
-22
Let t(o) = -841*o**3 + 14*o**2 - 29*o + 16. What is t(1)?
-840
Let t(z) = 2516*z - 128851. What is t(51)?
-535
Let g(k) = 13*k**3 - 9*k**2 + 34*k + 98. Determine g(-2).
-110
Let s(y) = -2285*y**2 - 6850*y - 4. What is s(-3)?
-19
Let u(f) = 550*f**2 - 20895*f - 186. Determine u(38).
4
Let n(k) = 11*k**3 - 873*k**2 + 319*k - 237. Determine n(79).
0
Let p(h) = -4071*h - 240198. Determine p(-59).
-9
Let k(l) = -9*l**3 + 490*l**2 - 695*l + 320. What is k(53)?
2
Let i(p) = -9*p**3 + 32*p**2 - 124*p + 750. Calculate i(5).
-195
Let t(j) = j**2 - 1129*j + 26687. Calculate t(24).
167
Let c(g) = -64*g**3 + 21*g**2 + 94*g + 57. What is c(-3)?
1692
Let u(x) = 11*x**2 - 1139*x + 468. Give u(104).
988
Let y(q) = 2*q**3 - 133*q**2 - 12849*q + 959. Determine y(120).
-121
Let s(x) = -x**2 + 196*x + 31339. Determine s(-105).
-266
Let m(s) = -99*s**2 + 917*s - 106. Give m(9).
128
Let a(l) = 137*l**2 - 834*l - 87. Calculate a(6).
-159
Let t(l) = 201*l**3 + 1004*l**2 - 33*l - 160. Calculate t(-5).
-20
Let v(n) = 5*n - 18. What is v(5)?
7
Let k(m) = -m**3 - 40*m**2 - 366*m + 280. Calculate k(-24).
-152
Let c(q) = 2*q**2 + 8066*q - 64585. Calculate c(8).
71
Let x(i) = -i**3 + 117*i**2 - 1071*i + 115. Determine x(107).
8
Let s(l) = 137*l**2 - 257*l + 116. Determine s(1).
-4
Let p(z) = -115*z**2 - 18124*z + 120708. Give p(-164).
4
Let v(w) = 7*w**3 - 10*w**2 - 20610*w - 20600. Give v(-1).
-7
Let n(y) = -4*y**3 - 61*y**2 - 2*y - 1859. Calculate n(0).
-1859
Let l(a) = 2028*a - 70173. Calculate l(35).
807
Let d(t) = -10*t**2 + 3455*t + 13678. Give d(349).
1463
Let x(z) = -1044*z + 52126. Determine x(50).
-74
Let m(v) = -6903*v + 158718. Calculate m(23).
-51
Let i(v) = -5331*v - 5192381. What is i(-974)?
13
Let f(d) = -17*d**3 + 18*d**2 - 17*d - 14. Calculate f(-4).
1430
Let j(o) = -o**3 - 61*o**2 - 267*o + 12322. What is j(-51)?
-71
Let a(m) = m**3 - 590*m + 295. Give a(24).
-41
Let q(i) = -i**2 - 35*i - 118. Calculate q(12).
-682
Let w(f) = -f**2 + 477*f + 9424. Determine w(-19).
0
Let p(w) = 2*w**2 - 1033*w - 11350. Give p(-11).
255
Let i(f) = -4*f**3 - 75*f**2 - 321*f - 6445. Give i(-19).
15
Let y(b) = 12*b**2 - 9024*b - 54585. What is y(-6)?
-9
Let f(a) = -a**3 - 30*a**2 + 4149*a + 121308. What is f(-29)?
146
Let m(y) = -y**3 + 168*y**2 + 2472*y + 13822. What is m(182)?
-10
Let y(c) = -15349*c + 168873. What is y(11)?
34
Let w(r) = 3*r**2 + 4820*r + 52757. Calculate w(-11).
100
Let y(c) = -309*c**2 - 8341*c + 55. What is y(-27)?
1
Let p(s) = -283*s + 53. What is p(-11)?
3166
Let i(y) = 31*y**3 - 2019*y**2 + 219*y + 2684. Give i(65).
19
Let g(a) = a**3 + 65*a**2 + 133*a + 1143. Give g(-63).
702
Let i(q) = 4439*q + 426143. Determine i(-96).
-1
Let h(n) = -26*n**3 - 859*n**2 - 31*n - 109. Give h(-33).
-175
Let m(n) = 11*n**3 - 128*n**2 + 379*n - 42. What is m(6)?
0
Let g(l) = -323*l + 26076. Calculate g(82).
-410
Let u(o) = 2*o**2 + 3460*o + 1444621. Determine u(-1026).
13
Let d(s) = 2*s**3 - 69*s**2 - 75*s - 201. Determine d(35).
-1601
Let i(j) = -36*j**2 + 1867*j + 12464. Give i(-6).
-34
Let y(m) = 4212*m - 10399427. What is y(2469)?
1
Let y(b) = b**2 - 132*b + 1736. Give y(14).
84
Let i(m) = -9807*m - 48973. Give i(-5).
62
Let u(r) = 198883*r + 1193274. Calculate u(-6).
-24
Let q(o) = -o**3 - 36*o**2 - 360*o - 173. What is q(-19)?
530
Let d(a) = 35*a**3 + 3777*a**2 - 322*a + 180. What is d(-108)?
-36
Let p(b) = 6*b**3 - 22*b**2 - 130*b + 449. What is p(5)?
-1
Let g(m) = -16002*m + 160073. What is g(10)?
53
Let u(m) = 3333*m + 1603168. Give u(-481).
-5
Let t(m) = -7*m**2 + 10070*m + 302411. Calculate t(1468).
3
Let m(q) = 82*q**2 + 9*q + 11. What is m(-1)?
84
Let h(r) = -21482*r - 13. Calculate h(0).
-13
Let r(z) = -2*z**2 + 4916*z - 19678. What is r(4)?
-46
Let v(k) = 3*k**3 - 446*k**2 + 310*k - 2142. What is v(148)?
-70
Let b(s) = -s**2 - 1213*s - 24155. What is b(-20)?
-295
Let n(r) = -33*r**3 + 19236*r**2 + 1743*r + 3442. Calculate n(583).
-56
Let y(i) = 3063*i + 23867. What is y(-8)?
-637
Let o(h) = -5*h**2 - 313*h - 1050. Determine o(-59).
12
Let x(s) = -30*s**3 + 975*s**2 - 481*s + 23. Calculate x(32).
-9
Let y(p) = -1673*p - 4236. What is y(-2)?
-890
Let k(d) = d**3 + 40*d**2 + 197*d + 718. What is k(-35)?
-52
Let a(q) = 12*q**2 + 5877*q + 35261. Calculate a(-6).
431
Let o(w) = 14772*w - 590888. Calculate o(40).
-8
Let w(d) = 79*d**3 - 790*d**2 + 142*d - 1441. Determine w(10).
-21
Let t(i) = 2*i**3 - 132*i**2 + 1374*i + 426. What is t(53)?
214
Let w(u) = 2*u**2 + 1217*u - 206024. What is w(138)?
10
Let m(z) = -916*z - 13512. What is m(-15)?
228
Let q(j) = -33260*j + 66532. Calculate q(2).
12
Let i(a) = -31*a**2 + 55761*a - 111513. Give i(2).
-115
Let y(c) = -25565*c - 358090. What is y(-14)?
-180
Let z(s) = -s**3 - 45*s**2 + 356*s - 443. Determine z(-52).
-27
Let n(w) = 933*w - 42919. What is n(46)?
-1
Let f(w) = -50499*w - 51086. Give f(-1).
-587
Let m(d) = -d**3 + 160*d**2 - 126*d + 19945. Calculate m(160).
-215
Let r(x) = 2*x**3 - 1180*x**2 + 6974*x + 19838. Determine r(584).
-18
Let c(u) = 6*u**3 - 111*u**2 - 348*u + 3390. What is c(20)?
30
Let o(a) = -713983*a + 2855936. Give o(4).
4
Let u(r) = 4737*r - 18. What is u(0)?
-18
Let s(z) = 75*z**2 - 686*z - 1370. Calculate s(-2).
302
Let z(d) = -35280*d + 34893. Determine z(1).
-387
Let u(b) = 64*b**2 + 133*b + 107. Determine u(-5).
1042
Let c(p) = 450*p**2 - 5402*p + 16. Determine c(12).
-8
Let r(y) = -4484*y + 67284. Calculate r(15).
24
Let h(l) = 3237*l + 29878. What is h(-9)?
745
Let m(c) = -5*c**2 + 1896*c - 17021. Calculate m(370).
-1
Let a(p) = -p**3 - 357*p**2 - 862*p + 70795. What is a(-354)?
-5
Let z(p) = 8064*p - 80758. Calculate z(10).
-118
Let l(c) = 39*c**3 + 5*c**2 - 6*c - 28. Calculate l(-3).
-1018
Let b(k) = k**2 - 95*k - 224. Determine b(9).
-998
Let t(l) = 4*l**2 + 83*l - 1703. Give t(-33).
-86
Let b(y) = 6*y**2 - 79*y + 257. Determine b(6).
-1
Let h(z) = -591*z + 2154. Calculate h(2).
972
Let j(m) = m**3 - 180*m**2 + 258*m + 17063. What is j(178)?
-381
Let n(g) = 11921*g**2 + 23843*g + 1. Give n(-2).
-1
Let a(i) = -30661*i - 1349092. What is a(-44)?
-8
Let c(t) = 32*t - 1911. Determine c(56).
-119
Let w(g) = -171*g**2 + 19503*g - 1050. Give w(114).
-24
Let v(z) = -3*z**2 + 1830*z + 1713591. Give v(-510).
-9
Let p(d) = 600*d**2 - 12*d + 42. Calculate p(0).
42
Let b(v) = -v**3 + 7*v**2 + 385*v + 325. Calculate b(-16).
53
Let q(h) = 10*h**2 + 5507*h + 63074. Determine q(-539).
11
Let k(v) = 223151*v - 446315. Give k(2).
-13
Let q(f) = -f**3 + 21*f**2 - 17*f + 72. Calculate q(22).
-786
Let x(t) = t**3 + 40*t**2 + 1824*t + 69614. Calculate x(-39).
-1
Let o(m) = m**3 + 2*m**2 - 52*m + 91. Determine o(5).
6
Let k(i) = -30*i**3 - 4501*i**2 - 166*i - 2324. Calculate k(-150).
76
Let k(p) = -92385*p - 1662934. Determine k(-18).
-4
Let c(g) = g**2 + 140950*g + 1268472. Give c(-9).
3
Let l(b) = 697*b - 12974. Determine l(19).
269
Let m(c) = -17013*c - 561438. Give m(-33).
-9
Let y(b) = -17*b**3 + 156*b**2 - 35*b + 112. Calculate y(9).
40
Let f(i) = 16*i**2 + 231*i + 631. Calculate f(-7).
-202
Let g(j) = 101221*j - 1012154. Determine g(10).
56
Let z(b) = -22*b**2 + 814*b - 47. What is z(37)?
-47
Let f(m) = 4*m**2 + 1358*m + 22373. Determine f(-17).
443
Let n(k) = -4179*k + 25263. What is n(6)?
189
Let m(j) = 16044*j - 3625924. What is m(226)?
20
Let z(y) = -244*y - 15091. Give z(-62).
37
Let s(c) = 769*c + 232452. Determine s(-302).
214
Let w(s) = 4*s**3 + 15*s**2 - 74*s + 54. What is w(5)?
559
Let c(r) = -r**3 - 13*r**2 - 312*r - 5056. Calculate c(-16).
704
Let l(s) = 2703*s**2 + 335210*s + 4711. Give l(-124).
-1
Let l(p) = 2*p**3 + 265*p**2 + 408*p + 1835. Determine l(-131).
-130
Let w(v) = v**2 - 11863*v + 319567. Calculate w(27).
-5
Let t(y) = -1245*y - 58536. Give t(-47).
| {
"pile_set_name": "DM Mathematics"
} |
e second biggest value in 14, 1/3, -15?
1/3
Which is the fourth biggest value? (a) -1/4 (b) -319 (c) -2 (d) -0.5 (e) 5
c
What is the smallest value in 0, 1/10, 2.42, 0.5?
0
What is the second smallest value in 30/17, 2, 0.22?
30/17
Which is the biggest value? (a) -21 (b) -2/13 (c) -0.87
b
Which is the fourth smallest value? (a) -2 (b) -0.013 (c) 4 (d) -0.1 (e) 1/4
e
What is the fifth biggest value in -1/4, 12, -5, -0.06, 3?
-5
What is the second smallest value in -4/13, -2/3, 2/13, 0.4, 5?
-4/13
What is the fifth smallest value in 47, 0.6, 0.5, -3, -0.1?
47
Which is the third biggest value? (a) 1/14 (b) 0.06 (c) -5 (d) 0.1
b
Which is the smallest value? (a) 40 (b) -6 (c) 5 (d) -1/8
b
What is the third biggest value in -2, -3, -158?
-158
Which is the third biggest value? (a) 3/8 (b) 1/7 (c) 45/2
b
What is the second smallest value in 0.231, 0, 4, -1/3?
0
Which is the third smallest value? (a) 0.521 (b) 1/7 (c) 0.4
a
What is the third biggest value in -2, -3, 6, -3/10?
-2
What is the third biggest value in -0.02, -1/2, 7?
-1/2
What is the fifth smallest value in 4, -1/4, -4, -0.21, -5?
4
What is the third smallest value in 0.5, 14/9, 0.1?
14/9
What is the second biggest value in -4, 118, 2?
2
Which is the third smallest value? (a) 0 (b) -0.227 (c) -1/3 (d) -1/2 (e) -10
c
What is the smallest value in -2, 1/11, 0.03, 3, 4?
-2
What is the second biggest value in 0, -0.2, 28?
0
What is the biggest value in -1, 13, -4/5?
13
Which is the third biggest value? (a) 5/3 (b) -1 (c) 0.057 (d) 1/6 (e) 0.3
d
Which is the fourth smallest value? (a) 0.04 (b) -5 (c) 0.075 (d) -1/4 (e) 0
a
What is the fourth biggest value in -11, 0, 2/11, 1/3?
-11
Which is the third smallest value? (a) 2/9 (b) -2074 (c) -0.2
a
What is the third biggest value in -1/3, -3/11, 0?
-1/3
What is the fourth smallest value in 3, -0.2, -2/7, 11/2?
11/2
What is the fourth biggest value in 0.1, 1, -4, -13, 1/3?
-4
Which is the second biggest value? (a) -2 (b) 0.2 (c) 2 (d) 1
d
What is the smallest value in 1/5, 3, -2, 1?
-2
Which is the third smallest value? (a) 2/5 (b) -2/9 (c) 0.01
a
Which is the fourth smallest value? (a) -368 (b) -4 (c) -2 (d) -0.2
d
Which is the third smallest value? (a) -2/5 (b) -1 (c) -2 (d) 0.2
a
What is the third smallest value in 1, -0.1, 11, -1?
1
Which is the biggest value? (a) 0.694 (b) 1 (c) 5 (d) 0
c
Which is the fifth biggest value? (a) 2/3 (b) 1/4 (c) 30 (d) -3/5 (e) 4
d
Which is the biggest value? (a) 25 (b) 2 (c) -1/8
a
Which is the biggest value? (a) -5 (b) 2 (c) -22/7
b
What is the smallest value in -3/7, 1/7, 3?
-3/7
Which is the second biggest value? (a) -1/3 (b) -1.4 (c) -3
b
What is the third smallest value in 0.3, -41, 2/9, 1?
0.3
Which is the second smallest value? (a) 2/7 (b) 3 (c) 0.58 (d) -4 (e) 3/2
a
What is the second smallest value in 0, -0.5, -579, -0.4, -4?
-4
Which is the third smallest value? (a) -1.3 (b) -5 (c) 25
c
Which is the second smallest value? (a) 336 (b) -3/4 (c) 0.4 (d) 2/11
d
Which is the smallest value? (a) -0.4 (b) 1/4 (c) -224
c
Which is the biggest value? (a) -161 (b) -21 (c) 1
c
What is the fourth smallest value in 1, 0.6, -16, -0.16?
1
What is the fourth biggest value in -71, 0.4, 35, -0.2, 3?
-0.2
Which is the smallest value? (a) 0.2 (b) -2/7 (c) -0.1 (d) 0
b
What is the biggest value in -4, 3, 97, -0.1?
97
Which is the biggest value? (a) 4/7 (b) -1/3 (c) 4
c
Which is the second smallest value? (a) -3 (b) 2/15 (c) 0.04
c
Which is the smallest value? (a) -32 (b) -36 (c) -0.2 (d) 0 (e) 0.4
b
What is the third smallest value in 5/3, 2/5, -2, -22, 5?
2/5
Which is the smallest value? (a) -11 (b) -10.9 (c) -6/5
a
Which is the biggest value? (a) -0.1 (b) 19 (c) 3/14 (d) 0.2
b
What is the third smallest value in 2/3, 0.01, -0.1, 29?
2/3
Which is the second smallest value? (a) -2/19 (b) 1 (c) -0.11
a
Which is the third biggest value? (a) -3 (b) 132 (c) 3/2 (d) -2
d
What is the third smallest value in 0.5, -1/12, 5, 2?
2
What is the third biggest value in 511, 3/4, -2?
-2
What is the smallest value in -2/17, -60, -1?
-60
What is the third smallest value in 2/9, 1, 6, 2/5, -29?
2/5
What is the third smallest value in -34, 4/7, 0.03?
4/7
Which is the third biggest value? (a) 1 (b) 11 (c) -87 (d) 2/7
d
What is the fourth biggest value in -10/13, 4, -4, 0.7?
-4
Which is the third biggest value? (a) -2/9 (b) 3 (c) 0.5 (d) -3/23 (e) 2/3
c
What is the third smallest value in 8, -14, 2/3?
8
Which is the third biggest value? (a) -2 (b) -26 (c) -0.4 (d) 2/5
a
What is the second biggest value in 1/3, -1/7, -46, -0.05?
-0.05
Which is the smallest value? (a) 3 (b) -2/3 (c) 1269
b
Which is the biggest value? (a) -3 (b) 5 (c) -0.3 (d) -2/5 (e) -30
b
Which is the third smallest value? (a) 4/3 (b) 0 (c) 3 (d) -0.3
a
What is the second smallest value in 1/155, 0, -1/5?
0
What is the second smallest value in 2/5, 2/19, 84?
2/5
What is the fourth biggest value in 10, 0.2, -1/2, -3.8?
-3.8
Which is the second smallest value? (a) 0 (b) -2 (c) 47/4
a
What is the second biggest value in 0.3, -3, -0.06, -1?
-0.06
What is the second biggest value in -0.03, 0.08, 0.2, 2, 5?
2
Which is the second biggest value? (a) 3 (b) -3 (c) 2/7 (d) -15 (e) 5
a
What is the smallest value in 2/5, -2/3, -8, -1/5?
-8
What is the third smallest value in -3, 0.11, 0.2, -115?
0.11
Which is the second biggest value? (a) 0.1 (b) 1144 (c) 1/3
c
Which is the third biggest value? (a) -23 (b) 2 (c) 3/5 (d) -1
d
Which is the second biggest value? (a) 0.2 (b) 5 (c) -4
a
What is the third smallest value in -9/5, 8, 1/4?
8
Which is the second biggest value? (a) -2/9 (b) 3 (c) 167/3
b
What is the third biggest value in 74, 3, -2, -1/21, -0.1?
-1/21
What is the third biggest value in -0.4, 4.44, -2/19, -3, -0.1?
-2/19
What is the smallest value in 5.1, -55, 3?
-55
Which is the third biggest value? (a) -24 (b) -5 (c) 0.02
a
Which is the second biggest value? (a) 0.3 (b) 0.4 (c) -14 (d) -3 (e) 0.1
a
Which is the third smallest value? (a) -0.2 (b) 1/4 (c) 1.6 (d) -6 (e) 0
e
What is the second biggest value in -0.5, -2, -20/9?
-2
Which is the second smallest value? (a) -4 (b) 0.05 (c) 10.68
b
What is the fifth smallest value in -4, -0.029, 3, 2, -3?
3
What is the third smallest value in 4/7, 1, 247/2?
247/2
What is the fifth smallest value in -1/2, 8, -5, -3/2, -0.3?
8
What is the second biggest value in 0.4, -0.3, -5.24?
-0.3
Which is the biggest value? (a) -1 (b) 1.5 (c) 0.5 (d) 1.6 (e) -4
d
Which is the third biggest value? (a) 4 (b) -0.1 (c) 6
b
Which is the smallest value? (a) -4 (b) 2 (c) 2/11 (d) -0.1 (e) 4
a
What is the biggest value in 2/15, -0.4, 1/5, 170?
170
Which is the smallest value? (a) -5/4 (b) -5 (c) -0.4 (d) 2
b
What is the biggest value in 2, -3, 15.4, 1?
15.4
What is the second biggest value in 7, 1/2, 1?
1
Which is the smallest value? (a) -3 (b) -1.2 (c) 588
a
Which is the biggest value? (a) 1 (b) 41 (c) -4/7
b
What is the third smallest value in 3/7, 10, 1, 0, 0.4?
3/7
Which is the biggest value? (a) 0.4 (b) 4.3 (c) 121 (d) 1 (e) 3
c
What is the second biggest value in -2/13, 0.1, -17, 2/5?
0.1
What is the smallest value in -56, 1/4, 1/22?
-56
Which is the second biggest value? (a) 18 (b) -2/15 (c) -1/3
b
Which is the fourth biggest value? (a) -1/19 (b) -0.2 (c) 0.1 (d) -276
d
What is the third smallest value in 3, 4, 240?
240
What is the third smallest value in -1/7, 378, 0, -1/10?
0
What is the third smallest value in 1, -8, -1/3, 0.5?
0.5
Which is the biggest value? (a) 21 (b) -2/5 (c) 4
a
Which is the fourth smallest value? (a) -3/7 (b) 0 (c) 3 (d) 13
d
Which is the second biggest value? (a) 1 (b) -3 (c) -5
b
What is the smallest value in 3, -2, 5, 2/19?
-2
Which is the second smallest value? (a) 2/3 (b) 1/3 (c) -2/21 (d) 1
b
What is the second biggest value in 0.5, -1/3, 2, 22/3?
2
Which is the biggest value? (a) -0.2 (b) 0.071 (c) -3 (d) -1/6
b
Which is the third smallest value? (a) 2 (b) 1/9 (c) -2/29
a
Which is the fourth smallest value? (a) -18/5 (b) -15 (c) 0.1 (d) -3/7
c
What is the smallest value in 0.2, 4, 0 | {
"pile_set_name": "DM Mathematics"
} |
are root of 77522 to the nearest integer?
278
What is 311817 to the power of 1/2, to the nearest integer?
558
What is the cube root of 34322 to the nearest integer?
32
What is the cube root of 6050816 to the nearest integer?
182
What is 95255 to the power of 1/7, to the nearest integer?
5
What is 9818905 to the power of 1/2, to the nearest integer?
3134
What is 597249 to the power of 1/2, to the nearest integer?
773
What is 607343 to the power of 1/2, to the nearest integer?
779
What is the third root of 171315 to the nearest integer?
56
What is the third root of 337295 to the nearest integer?
70
What is the eighth root of 356057 to the nearest integer?
5
What is 1006285 to the power of 1/8, to the nearest integer?
6
What is the fifth root of 2550613 to the nearest integer?
19
What is the third root of 10731147 to the nearest integer?
221
What is the third root of 2155300 to the nearest integer?
129
What is 16162425 to the power of 1/6, to the nearest integer?
16
What is 559403 to the power of 1/3, to the nearest integer?
82
What is 3807486 to the power of 1/2, to the nearest integer?
1951
What is the square root of 1107986 to the nearest integer?
1053
What is the third root of 35984 to the nearest integer?
33
What is 9391784 to the power of 1/3, to the nearest integer?
211
What is 23704848 to the power of 1/3, to the nearest integer?
287
What is 270839 to the power of 1/2, to the nearest integer?
520
What is the tenth root of 1160685 to the nearest integer?
4
What is the third root of 355589 to the nearest integer?
71
What is the third root of 314662 to the nearest integer?
68
What is the cube root of 118813 to the nearest integer?
49
What is 164777 to the power of 1/10, to the nearest integer?
3
What is 13617717 to the power of 1/2, to the nearest integer?
3690
What is 3302271 to the power of 1/4, to the nearest integer?
43
What is the sixth root of 1683782 to the nearest integer?
11
What is the cube root of 1810644 to the nearest integer?
122
What is the square root of 259601 to the nearest integer?
510
What is 896844 to the power of 1/6, to the nearest integer?
10
What is the third root of 893608 to the nearest integer?
96
What is the sixth root of 54651 to the nearest integer?
6
What is the third root of 11021752 to the nearest integer?
223
What is 1555103 to the power of 1/2, to the nearest integer?
1247
What is the square root of 3897577 to the nearest integer?
1974
What is the square root of 1854560 to the nearest integer?
1362
What is 306450 to the power of 1/2, to the nearest integer?
554
What is 804849 to the power of 1/2, to the nearest integer?
897
What is the third root of 9892 to the nearest integer?
21
What is the cube root of 234659 to the nearest integer?
62
What is 2696649 to the power of 1/8, to the nearest integer?
6
What is the fourth root of 2700558 to the nearest integer?
41
What is 11017672 to the power of 1/2, to the nearest integer?
3319
What is 948655 to the power of 1/3, to the nearest integer?
98
What is the square root of 2327509 to the nearest integer?
1526
What is 298193 to the power of 1/2, to the nearest integer?
546
What is the square root of 130769 to the nearest integer?
362
What is 68295 to the power of 1/6, to the nearest integer?
6
What is the square root of 9136803 to the nearest integer?
3023
What is the sixth root of 1271780 to the nearest integer?
10
What is 3649554 to the power of 1/2, to the nearest integer?
1910
What is the square root of 1863582 to the nearest integer?
1365
What is 43529 to the power of 1/6, to the nearest integer?
6
What is 874945 to the power of 1/8, to the nearest integer?
6
What is the tenth root of 8265165 to the nearest integer?
5
What is the third root of 193153 to the nearest integer?
58
What is 417790 to the power of 1/2, to the nearest integer?
646
What is 22885563 to the power of 1/7, to the nearest integer?
11
What is 943360 to the power of 1/2, to the nearest integer?
971
What is 399952 to the power of 1/2, to the nearest integer?
632
What is the cube root of 5336034 to the nearest integer?
175
What is 109344 to the power of 1/5, to the nearest integer?
10
What is the square root of 372733 to the nearest integer?
611
What is 20503774 to the power of 1/2, to the nearest integer?
4528
What is the square root of 3105801 to the nearest integer?
1762
What is 23864527 to the power of 1/2, to the nearest integer?
4885
What is 155831 to the power of 1/8, to the nearest integer?
4
What is the cube root of 187626 to the nearest integer?
57
What is the ninth root of 1478421 to the nearest integer?
5
What is 422574 to the power of 1/7, to the nearest integer?
6
What is 802782 to the power of 1/3, to the nearest integer?
93
What is 132478 to the power of 1/7, to the nearest integer?
5
What is 3434679 to the power of 1/5, to the nearest integer?
20
What is 534584 to the power of 1/2, to the nearest integer?
731
What is 2587 to the power of 1/7, to the nearest integer?
3
What is 248198 to the power of 1/5, to the nearest integer?
12
What is 771332 to the power of 1/7, to the nearest integer?
7
What is 1067954 to the power of 1/2, to the nearest integer?
1033
What is 183206 to the power of 1/2, to the nearest integer?
428
What is 1134010 to the power of 1/7, to the nearest integer?
7
What is the fourth root of 5939128 to the nearest integer?
49
What is the third root of 173363 to the nearest integer?
56
What is the third root of 5283285 to the nearest integer?
174
What is the cube root of 1944954 to the nearest integer?
125
What is 5717 to the power of 1/2, to the nearest integer?
76
What is 62152 to the power of 1/8, to the nearest integer?
4
What is the sixth root of 8389742 to the nearest integer?
14
What is the seventh root of 6939190 to the nearest integer?
9
What is 814558 to the power of 1/3, to the nearest integer?
93
What is the tenth root of 32450 to the nearest integer?
3
What is 1723528 to the power of 1/3, to the nearest integer?
120
What is 1458161 to the power of 1/2, to the nearest integer?
1208
What is 456166 to the power of 1/3, to the nearest integer?
77
What is 567018 to the power of 1/4, to the nearest integer?
27
What is the cube root of 347312 to the nearest integer?
70
What is the sixth root of 280895 to the nearest integer?
8
What is the seventh root of 7946974 to the nearest integer?
10
What is the eighth root of 26778465 to the nearest integer?
8
What is the cube root of 2768581 to the nearest integer?
140
What is the square root of 3138729 to the nearest integer?
1772
What is the square root of 130542 to the nearest integer?
361
What is 1040692 to the power of 1/2, to the nearest integer?
1020
What is the third root of 235524 to the nearest integer?
62
What is the third root of 246460 to the nearest integer?
63
What is 396219 to the power of 1/2, to the nearest integer?
629
What is the square root of 3717793 to the nearest integer?
1928
What is 120110 to the power of 1/3, to the nearest integer?
49
What is the ninth root of 7352738 to the nearest integer?
6
What is the fifth root of 1553087 to the nearest integer?
17
What is 3282571 to the power of 1/2, to the nearest integer?
1812
What is 66266 to the power of 1/2, to the nearest integer?
257
What is 35489 to the power of 1/6, to the nearest integer?
6
What is the seventh root of 1633333 to the nearest integer?
8
What is 19639570 to the power of 1/2, to the nearest integer?
4432
What is the fourth root of 13711194 to the nearest integer?
61
What is the ninth root of 3843444 to the nearest integer?
5
What is 983069 to the power of 1/2, to the nearest integer?
991
What is the seventh root of 138903 to the nearest integer?
5
What is the sixth root of 15003825 to the nearest integer?
16
What is 1258966 to the power of 1/6, to the nearest integer?
10
What is 416591 to the power of 1/3, to the nearest integer?
75
What is the square root of 742569 to the nearest integer?
862
What is the square root of 826190 to the nearest integer?
909
What is the square root of 731191 to the nearest integer?
855
What is 10099865 to the power of 1/3, to the nearest integer?
216
What is 6245101 to the power of 1/3, to the nearest integer?
184
What is the cube root of 16610323 to the nearest integer?
255
What is 239316 to t | {
"pile_set_name": "DM Mathematics"
} |
- 23. Suppose 2*f + 0*f - 78 = 0. Suppose f = z + b. What is the tens digit of z?
3
Let p = 5339 - 3412. What is the thousands digit of p?
1
Let a(o) = -o + 18. Let w be a(15). Suppose 0 = w*u - 4*u + 207. What is the units digit of (u/15)/(9/45)?
9
Suppose 17*m - 9701 = -538. What is the tens digit of m?
3
Let a(t) = 21*t + 29. Let p(k) = -10*k - 14. Let g(q) = -3*a(q) - 5*p(q). What is the tens digit of g(-10)?
1
Suppose 16 + 507 = z. What is the units digit of z?
3
Let b be 6/9 + (-14)/(-6). Let w = -1 + b. Suppose 0 = w*z - z - 17. What is the units digit of z?
7
Suppose 85 = 3*c - 2*c. Suppose c = b + 3*w, 110 = -3*b - 3*w + 377. What is the units digit of b?
1
Let q be (-8)/(-5) - (-4)/10. Suppose -u + q*d + d = -13, 0 = -4*u - d. Suppose 0 = -3*f - u + 58. What is the units digit of f?
9
Let q(j) be the second derivative of -8*j**3/3 + 4*j**2 + j. What is the units digit of q(-5)?
8
Let y = -5 - -13. Let b be (-6)/(-5)*20/y. Suppose b*a + 78 = 6*a. What is the units digit of a?
6
Let a = -16 + 67. What is the units digit of a - 0/(-7 + 4)?
1
Let v(j) = 0*j**2 + 4*j**2 + j**2 + 5*j. What is the units digit of v(3)?
0
Let h(d) = -d**3 - 4*d**2 - 5*d - 3. Let t(x) = -x. Let c be t(0). Suppose 4*u + 4*y = -c*y, u + 5*y - 12 = 0. What is the units digit of h(u)?
3
Suppose 0 = -4*q + 3*q + 2. Suppose 2*p = 2*a + q, -p + 7*a = 2*a + 19. Suppose -3*x - 30 = -p*x. What is the units digit of x?
0
Let c be (-7 - -1)/(16/192). Let p = c + 113. What is the units digit of p?
1
Suppose c + 0*c = 8. Let f = c + -23. What is the tens digit of 130/f*6/(-2)?
2
Suppose 88357 = 33*m - 43874. What is the hundreds digit of m?
0
Suppose 1 = 3*c + 5*v, 1 = -c - 4*v - 1. What is the tens digit of 10*(c - (-1 + 1))?
2
Let i be 0/((-10)/5) - -4. Suppose -i*z + 10 = -214. What is the units digit of z?
6
Suppose -16*s + 18 = -19*s. Let y(n) = -n**2 - 9*n - 10. What is the units digit of y(s)?
8
Let d(f) = f + 14. Let o be d(-14). Suppose o*r = 3*r - 324. Let z = r + -59. What is the tens digit of z?
4
Suppose -4*k = 3*s - 0*s - 24, -3*k - 5*s = -29. Suppose 0 = 3*c - 2*g + 6*g - 38, 2*c - k*g - 48 = 0. Let o = 32 - c. What is the units digit of o?
4
Let b be ((-12)/(-30))/((-1)/55*-1). Suppose -b*d + 250 = -20*d. What is the units digit of d?
5
Let m = -8988 + 15242. What is the hundreds digit of m?
2
Suppose -w - 70 = -5*t, 3*t + 5*w - 11 = 3. Let v = 0 - t. What is the units digit of (-470)/v - 2/13?
6
Let y = -24 - -647. What is the units digit of y?
3
Let y(d) = -3*d + 5. Let l be y(4). Let q = 4 + l. What is the units digit of -1 + 0 + 14 + q?
0
Let b(z) = 685*z - 3. What is the units digit of b(2)?
7
Let n be 10/35 - 2/7. Suppose 3*o + 0*o + 288 = 5*m, n = 3*m + o - 170. Suppose 3*y = 117 + m. What is the units digit of y?
8
Suppose 0 = -2*s - 4*k - k + 2333, 5*k + 4741 = 4*s. What is the tens digit of s?
7
Suppose -111260 = -70*t + 50*t. What is the thousands digit of t?
5
Let d(j) = -j**2 + 5*j + 6. Let t be -2*(-4 - 4*-2). Let m = t - -13. What is the units digit of d(m)?
6
Suppose -2294 = -3*k - 5*x + 342, -5*k - 3*x + 4372 = 0. What is the hundreds digit of k?
8
Suppose -16 = -3*j - 1. Suppose 0 = -j*k - 6 + 31. What is the units digit of k?
5
Let n(q) = -5*q + 1496. What is the hundreds digit of n(0)?
4
Let p(q) = -2*q - 2. Let o be p(-2). Let m be -16*((-12)/(-8) - o). Let l = 15 - m. What is the units digit of l?
7
Suppose -4*s + 328 = -0*s. Suppose x - 1160 = -28*x. Let f = s - x. What is the units digit of f?
2
Let h = -44 + 258. What is the units digit of h?
4
Suppose -5*f + 1613 = -527. What is the hundreds digit of f?
4
Suppose 1 = -j + 4*n - 6, 49 = 3*j + 2*n. Let c = j + 38. What is the units digit of c?
1
Let g(v) = -2 - 6 + 14 + 0 - 3*v. Let t be g(2). Suppose -2*n - 2 = 0, t*q - 5*n - 19 = -q. What is the tens digit of q?
1
What is the units digit of 3099*((-133)/(-21) - 6)?
3
Let a(z) = -1481*z**3 - 2*z**2 - 5*z - 2. What is the units digit of a(-1)?
2
Let f = 43 - 52. Let o = 23 + f. What is the tens digit of o?
1
Let y be -1 + (1510 - (8 - 3)). What is the units digit of (-5*2/4)/((-16)/y)?
5
Let j(t) = t**3 - 5*t**2 - 5*t - 4. Let d be j(6). Let u(c) = 6*c**3 - 2*c**2 - 3*c + 6. What is the units digit of u(d)?
0
Let d(w) = 1. Let l(a) = 4*a**2 - 4*a - 2. Let s(z) = 6*d(z) + l(z). Let o be s(5). Suppose -2*m = -6*m + o. What is the units digit of m?
1
Let j(w) = -3*w**2 + 44*w - 32. What is the tens digit of j(12)?
6
Let n(r) = -r**2 + 7*r - 6. Let i be n(4). Let s be 0/(-2) - (4 - i). Suppose d - 5*t + 12 - 66 = 0, 3*t - 82 = -s*d. What is the tens digit of d?
4
Let y(c) = -c**3 + 4*c**2 + 6*c - 1. Let n be y(5). Suppose 3*u + 4*d = 30, -n*u + 5*d + 0*d = -9. Suppose 5*f = u*f - 42. What is the tens digit of f?
4
What is the tens digit of (-3 - -9)/((-2)/(-156))?
6
Let i = 660 - 410. What is the units digit of i?
0
Suppose -q - 706 = -s, -q = 4*s - 6*s + 1417. Suppose s = 63*c - 60*c. What is the hundreds digit of c?
2
Let c(m) = m**3 + 24*m**2 - 32*m + 31. Let j(q) = -q**3 - 25*q**2 + 33*q - 31. Let r(f) = 4*c(f) + 3*j(f). What is the hundreds digit of r(-22)?
1
Let r(j) = -9*j**2 - j**3 + 6*j + 4*j + 3*j - 14 - 9*j. What is the tens digit of r(-10)?
4
Suppose -j + o = 4*j, 5*j + 5*o + 30 = 0. Let c = j - -5. What is the tens digit of 48 + 0*1/c?
4
Let h(b) = -3*b**3. Let g be h(-1). Let t(l) = 1 - 7*l - 9*l + 6*l - g*l. What is the units digit of t(-2)?
7
Suppose -7*i + 3*i = 5*g - 87, -4*i + 91 = g. Let j = i + -20. Suppose -j*q + 6 = -5*t, q - t = -4*t + 2. What is the units digit of q?
2
Let c(s) = -3*s - 3. Let g be c(-5). Suppose -23*w + 6*w = -221. Suppose w*u = g*u + 3. What is the units digit of u?
3
Let j(z) = -9*z**2 + 141*z + 10. What is the hundreds digit of j(11)?
4
Suppose 0 = 4*u - 0 - 8. Suppose 2*y + 2*j - 138 = 0, -153 + 6 = -u*y + j. What is the units digit of y?
2
Suppose -53790 = 232*c - 243*c. What is the hundreds digit of c?
8
Suppose 5*h = 2*u - 864, -u - h + 2*h + 435 = 0. Suppose 4*y + 362 = -3*o, -5*y - 3*o = -7*o + u. Let z = y + 157. What is the tens digit of z?
6
Suppose 3*g + 2*y = -3*y + 809, 3*g = 5*y + 799. What is the units digit of g?
8
Suppose -3*s = -3*y - 9 + 96, y = -4*s + 34. Let d(w) = 5*w - 91. Let p be d(16). Let n = p + y. What is the units digit of n?
9
Suppose -a = 5*f + 2*a - 22, -3*f = 5*a - 26. Suppose 0 = -b + f*v + 159, 4*b - 608 = v - 0*v. What is the units digit of b?
1
Let d(g) be the first derivative of 75*g**2/2 - 3*g + 5. Let o be d(-6). What is the units digit of o/(-18) - (-1)/(-6)?
5
Let c be 2 - 1 - -1 - -10. Let m(g) = 14*g + 6. What is the units digit of m(c)?
4
Let j = 2 - 0. Suppose -w = 2*o + 1, -5 = -5*o + 3*w + j*w. Suppose o = -4*m + 39 + 65. What is the tens digit of m?
2
Suppose 91*y = 46*y + 33930. What is the units digit of y?
4
Let k(x) = 5*x**2 - 10*x. Let z be k(-8). Suppose -8*w = -12*w + z. What is the hundreds digit of w?
1
Suppose 8*n + 24 = 16*n. Let g(x) = 9*x**3 + 2*x**2 - 5*x - 5. What is the hundreds digit of g(n)?
2
Let d(w) = 3*w**3 - 3*w**2 + 3*w. Suppose 3*j + 11 = 3*g - 10, 3*j - 19 = -5*g. Suppose -g*f + 10 = -0. What is the units digit of d(f)?
8
Let m(k) = -k**3 + 1 - 10*k**2 - 7*k - 2 - 2*k + 5. Let c be m(-9). Suppose -c*y = -2*y - 36. What is the tens digit of y?
1
Suppose -2252 = -y + 1967. What is the hundreds digit of y?
2
Let f = -2726 - -4273. What is the thousands digit of f?
1
Let j be (-1)/(3 + 76/(-24)). Suppose 0 = y - 0*y. Suppose y = -d + j + 5. What is the tens digit of d?
1
Let p be (-30)/4*80/(-24). Let u = p - 17. What is the units digit of u?
8
Suppose 12423 = 3*o + 2*c, -4*c = -4*o - 5*c + 16564. What is the hundreds digit of o?
1
Let d = 109 - 106. What is the tens digit of 143 + 1/d*3?
4
Let u(x) = -x**3 + 53*x**2 - 15*x - 46. What is the thousands digit of u(52)?
1
Suppose -4*q - 946 = -3*g, -g + 3*q + 632 = g. What is the hundreds digit of g?
3
Let u be (2 + -1)*(8 - 1). Suppose -u*y + 1745 - 576 = 0. What is the units digit of y?
7
Let f(b) be the second derivative of -b**4/12 + 44*b**2 + 5*b. Let l be f(0). Suppose -174 = -4*g - 5*p, 2*g + p - l = -p. What is the tens digit of g?
4
Let x(d) = 8*d**2 - 17*d - 16. Let l be x(-6). Let n = -221 + l. What is the units digit of n?
3
Suppose -7620 = -16*m + 6*m. What i | {
"pile_set_name": "DM Mathematics"
} |
0. What is the units digit of w?
2
Let c(q) = -q**3 - 3*q**2 + 3*q - 3. Let n be c(-4). Suppose 37 = k - n. What is the tens digit of k?
3
Suppose -x - 10 = -2*x. Suppose 4*v = -u + 4 + 2, -v = -4*u - x. Suppose -b - v*c - 6 = 0, 3*c + 26 = 3*b - 2*c. What is the units digit of b?
2
Suppose -4*h + 116 = 4*u, -2*u + 7*u - 121 = 3*h. What is the tens digit of u?
2
Suppose -89 = -5*j - 9. What is the tens digit of j?
1
Suppose m + 128 = 5*m. Let x be (24/m)/((-2)/(-16)). Suppose 0 = -2*o + x + 4. What is the units digit of o?
5
What is the units digit of (-4)/(-14) + 159/7?
3
Let d(u) be the third derivative of -u**6/120 - 7*u**5/60 - u**4/12 - u**3/3 + u**2. Let z(t) = -t - 12. Let n be z(-5). What is the tens digit of d(n)?
1
Suppose -4*a - 34 = -y, a + 172 = 4*y + 3*a. What is the units digit of y?
2
Suppose 0 = 9*f - 233 - 478. What is the units digit of f?
9
What is the units digit of (-134)/(-10) + 6/(-15)?
3
Let y(h) = h**3 - 6*h**2 + h + 3. Let r be y(6). Suppose -5*f - r = -4*p - 2*f, 7 = -3*p + 5*f. What is the units digit of p?
6
Suppose z + 2*z - 24 = 0. Let s(b) = b**3 - 9*b**2 + 10*b - 7. What is the units digit of s(z)?
9
Let s(u) = u**3 + 4*u**2 - u + 2. What is the units digit of s(-4)?
6
Let x be -10 - (-5)/(10/4). Let s = x + 7. Let a(g) = -9*g**3 + g + 1. What is the units digit of a(s)?
9
Suppose 0 = -0*s - s. Suppose -2*k + 7*k = s. Suppose -r - 4*r + 55 = k. What is the tens digit of r?
1
Let l(h) = 2*h**2 - 3*h**2 + 0 + 4. Let y be l(0). Suppose y*k + 8*i - 3*i = 44, -2*i + 8 = 0. What is the units digit of k?
6
Suppose 3*y = -f + 4 + 16, 13 = 2*f - 3*y. Suppose 3*p + 3*m - 39 = -6, -p = 3*m - f. What is the units digit of p?
1
Let j be 1 + 4 + 1 + -1. Suppose -j*z = -z + a - 112, 5*a = -3*z + 84. Let v = z - 14. What is the units digit of v?
4
Let b = 8 + 66. What is the tens digit of b?
7
Let v(t) = -2*t**2 + 4*t - 3. Let f be v(3). What is the units digit of f/(-6) - 3/6?
1
Let o(v) = -v - 3. Let b be o(-4). Suppose 2*d - b = 9. What is the units digit of d?
5
Let i = 8 - 6. What is the tens digit of (1/i)/(4/120)?
1
Let o = -1 + 11. Let l = 9 + o. What is the units digit of l?
9
Let v(c) = c**2 - 10*c - 7. Let o be v(9). What is the units digit of (1 - -2)/((-3)/o)?
6
Let k(a) = -3*a**2. Suppose -2*o + 11 = -o - 4*n, 2*n + 1 = 5*o. Let x be k(o). Let m = -2 - x. What is the units digit of m?
1
Suppose -3*v - 2*k - 2*k + 59 = 0, 4*k = 8. What is the tens digit of v?
1
Suppose 676 = 3*a + 109. What is the tens digit of a?
8
Let g be -2 - -3 - (1 - -30). Let b = -17 - g. What is the tens digit of b?
1
Let z be (12 - -2)/((-3)/(-3)). Suppose 0 = 2*h - 4*h - 8, 3*p - 5*h - 8 = 0. Let f = p + z. What is the tens digit of f?
1
Suppose s = 4*s + i - 170, 5*i = 25. What is the tens digit of s?
5
Let f(b) = 24*b**3 - b**2 + 1. What is the units digit of f(1)?
4
Suppose 2*v - 79 = -2*d + 61, -320 = -5*d + v. What is the tens digit of d?
6
Let m(a) = a**2 - a + 5. What is the units digit of m(-6)?
7
Suppose -s + 46 = 13. Let x = -18 + s. What is the units digit of x?
5
Suppose -4*v - y = 4*y - 395, -2*y + 196 = 2*v. Suppose v = -j + 6*j. What is the tens digit of j?
1
Suppose -f + c = -4 - 4, 5*c + 5 = -2*f. Let i(k) = -k**2 - 9*k - 4. Let t be i(-8). Suppose -f*r = -r - t. What is the units digit of r?
1
Let o(f) = -1. Let h(j) = -j**2 + 4*j - 2. Let t(g) = h(g) - 2*o(g). Let q = 4 - 2. What is the units digit of t(q)?
4
Let v be (-5 + -1 + 2)*-1. Suppose -v = d - 10. What is the units digit of d?
6
Let a be -2 - -19 - (1 + 1). What is the tens digit of ((-16)/(-12))/(2/a)?
1
Let l(m) = -m**2 + 10*m. Let f be l(6). Suppose -4*r - f = -2*t, -r + 135 = 5*t + 4*r. Suppose -2*a - 4 + t = 0. What is the units digit of a?
9
Let x(u) = -u**2 + 10*u - 12. Let o be x(8). Let z = 9 - o. Suppose z*q = 3*q + 28. What is the units digit of q?
4
Suppose -5*v = 2*n + 2*n - 3, -5*v = 5*n. Let t be (-10)/n*(-6)/(-5). Suppose t*a - 2*d - 13 - 9 = 0, -2*d = -a - 2. What is the units digit of a?
8
Let o = -2 + 5. Suppose -3 = -2*u + o*z + 21, 3*u = -2*z + 36. What is the units digit of u?
2
What is the units digit of (-444)/(-10) + 2/(-5)?
4
Let m(k) = -3*k**2 + 6*k - 11. Let t(s) = -3*s**2 + 6*s - 12. Let n(f) = -7*m(f) + 6*t(f). Let r be n(4). Let h = r + -11. What is the tens digit of h?
1
Suppose -z = 5*z - 252. What is the units digit of z?
2
Suppose 2*b - 15 = -w, 5*b + w - 33 = 9. Let u = -4 + b. Suppose 4 = -y + u*y. What is the units digit of y?
1
Suppose -5 = -5*w - 2*z, -3*w + 0*z + 4 = z. Let c(h) = -h**3 + 4*h**2 - 1. What is the units digit of c(w)?
8
Let f(u) = u - 1. Let y be f(0). What is the units digit of (3 - 0) + y + 3?
5
Let v(i) = i**2 - 2*i + 3. Let a be v(3). Suppose 2*q - a*q = -160. Suppose q = -2*h + 7*h. What is the units digit of h?
8
Let d be (8/(-6))/((-1)/6). Let o = d - 5. Suppose 0 = o*j + j - 28. What is the units digit of j?
7
Let u(z) = -z**3 + 12*z**2 - 10*z + 13. What is the tens digit of u(11)?
2
Let h be (-20)/6*(-171)/6. Suppose 5*v + 2*l + 3*l + h = 0, 5*v + 83 = -2*l. What is the tens digit of (-3)/v - 138/(-10)?
1
Suppose 0 = -3*w - 7 + 19, 0 = -2*d + w - 8. Let l be d + 0 + -2 + -1. Let y(x) = -x**3 - 4*x**2 + 5*x + 4. What is the units digit of y(l)?
4
Let i = 51 + -5. What is the tens digit of i?
4
Let g = 495 + -314. What is the units digit of g?
1
Suppose 0 = 3*c - 12, 2*d + 3*c = c + 54. What is the units digit of d?
3
Let g be 209/6 + (-6)/(-36). Suppose -3*l + g = 2*l. What is the units digit of l?
7
Let c(u) = u**3 + 3*u**2 - 2*u - 1. What is the units digit of c(-3)?
5
Suppose 123 = 12*w - 11*w. What is the units digit of w?
3
Let f = 3 - 6. What is the units digit of (-2)/3 + (-74)/f?
4
Suppose 3*z + a = 7, -4*z + 3*a = 2*a - 14. Suppose 0 = -2*g - z - 3. What is the units digit of (10/g)/(4/(-18))?
5
Let r be -4 + 54 - -1 - 1. Let s = -21 + r. What is the tens digit of s?
2
Let u(w) = 2*w**2 + 5*w + 3. What is the tens digit of u(4)?
5
What is the units digit of (-3)/1 + -1 - -19?
5
Let g = 12 - -9. What is the units digit of g?
1
Let i(h) = -14*h + 5. Let w(b) = -42*b + 16. Let j(t) = -7*i(t) + 2*w(t). What is the tens digit of j(3)?
3
Let a = -6 + 2. Let u be (2/a)/((-1)/10). Suppose -20 = -4*f + d, -6*d = u*f - d. What is the units digit of f?
4
Suppose 15 = 2*p - 67. What is the tens digit of p?
4
Let f(u) = u**2 + 10*u + 3. What is the units digit of f(-12)?
7
Let v = 2 + 2. Suppose -v*b + 57 = -11. What is the tens digit of b?
1
Let j(n) = 3*n + 0*n + 0*n + 9. What is the units digit of j(16)?
7
Let d = 4 - 6. Let o be -2 + (-6)/d - -2. Suppose o*t - 9 = 0, 5*t + 4 = 4*m - 9. What is the units digit of m?
7
Let d(x) = 0*x - 3*x**3 - 1 + x**2 + 4*x**3 - 3*x. Suppose 0 = 4*i + 11 - 3. What is the units digit of d(i)?
1
Suppose -n = 2*y - 201, -4*n + 0*n = -y + 123. Suppose h + 137 = 5*v - 30, 3*v - 2*h - y = 0. What is the tens digit of v?
3
Let d(s) = s + 4. Suppose 0 = -4*t + 15 + 1. Suppose 8 = 4*k + 2*h, 18 = 4*k - 7*h + t*h. What is the units digit of d(k)?
7
Let d(y) = -y**2 + 5*y + 3. Let l be 1*2 + (-7 - -9). What is the units digit of d(l)?
7
Let z(i) = 2*i**3 - 3*i**2 + 6*i - 7. What is the units digit of z(3)?
8
Let l be 3 + (-1)/1*8. Let i(n) = 2*n**2 + 6*n - 3. What is the tens digit of i(l)?
1
Let k be (-4)/(-18) - (-176)/18. Let o be (148/k)/((-2)/(-10)). What is the units digit of o/10 + (-2)/5?
7
Suppose i = -3*u - 2*i + 48, -2*i - 23 = -3*u. What is the units digit of u?
1
What is the units digit of 4/6*(-11 - -14)?
2
Let i = 1 + 1. Suppose d = 3*u - d - 32, 0 = 4*u + i*d - 52. What is the units digit of u?
2
Suppose 2*v - 1050 = -5*l, 2*l + 28 - 448 = 5*v. Suppose 3*p - 59 = -5*n + 75, -5*p = 5*n - l. What is the units digit of p?
8
Let l be 2/(16/(-28))*-14. Let v = 102 - l. What is the tens digit of v?
5
Let l(f) = -f**3 + 4*f**2 - f - 2. Suppose -2*i = -6*i + 48. Suppose -11 = -2*b + 5*j, 5 = -b + 4*j + i. What is the units digit of l(b)?
4
Let q(h) = h**2 + h - 8. Let g be q(0). Let a be 17/((1 - 1) + 1). Let o = a + g. What is the units digit of o?
9
Let p = 18 - 21. What is the units digit of 1 + 0 + 10 + p?
8
Suppose 5*w - 461 = 3*y, -2*w + 3*y - 111 + 290 = 0. What is the tens digit of w?
9
Suppose -7*r = 3 - 52. Suppose -c - 5*l = -22, c = 5*l - r - 1. Wh | {
"pile_set_name": "DM Mathematics"
} |
- 170 + 84. Is o(3) composite?
False
Let w(q) = 587*q - 14. Let u be w(2). Suppose -2*r + 2308 = -2*s, r - s - u = 2*s. Is r composite?
False
Let y = -13 - -19. Let m(p) = 10 + p**3 - 6*p**2 + p + p**3 - 3 - p**3. Is m(y) prime?
True
Is (4/2)/(-2)*((2 - -9) + -7510) a prime number?
True
Let p = -300 - 296. Let l = 971 - p. Is l composite?
False
Suppose -159 + 39 = -6*t. Let a(x) = -20*x - 89. Let k be a(-6). Suppose -11539 = t*q - k*q. Is q a prime number?
True
Let m(l) = -966*l - 23 - 4 - 337*l. Is m(-2) a composite number?
False
Let j(x) = 1831*x + 12. Let q be j(3). Let h = 8776 - q. Is h composite?
False
Let b be (-138)/(-10) + 1/5. Suppose -112*f + 113*f - b = 0. Is 15634/f + 16/56 a composite number?
False
Suppose -22*f = 4*f + 11*f + 396677. Let n be (-2)/8 - (-69165)/(-12). Let g = n - f. Is g a composite number?
False
Let x = 157859 - 58686. Is x a composite number?
False
Let d(r) = 1289*r**2 + 91*r + 230. Is d(-3) a composite number?
True
Suppose 10*f - 4*o = 12*f - 170454, 0 = 5*f - 5*o - 426165. Is f a composite number?
True
Suppose 1945659 = 5*z + 79*r - 83*r, 3*r + 389134 = z. Is z prime?
False
Let j(z) = -9*z + 79. Let r be j(-14). Let u = 1386 - r. Is u composite?
False
Suppose -24*a + 11599 = -23*a. Let v = 17279 - a. Suppose 16*r - v = 10464. Is r prime?
True
Let y be 1/(4/12) + 4380. Let c = y + -8254. Let j = c + 5912. Is j prime?
False
Let s be 7/(-21) + 4/(-24)*-25334. Suppose -2792 - s = -6*v. Is v composite?
True
Let s(z) = -z**2 - z - 1. Let w(y) = 488*y**2 - 13*y + 5. Let u(t) = -6*s(t) + w(t). Is u(2) composite?
False
Suppose 0 = -10*q - 3431 - 4209. Let j = q + 8175. Is j a prime number?
True
Let z = -1555 - -2256. Is z a composite number?
False
Suppose -1 = -3*o - 43. Let z be 12 + o + (0 - -3). Is (z/1)/(-3 - (-21590)/7195) a prime number?
True
Suppose -2*b - 3*b + 0*b = 0. Suppose -8*i + b = -16. Suppose 2*n = -i*g - 0*n + 166, 0 = 5*g + n - 423. Is g composite?
True
Suppose -10*b - 10 = -12*b. Suppose -j - 1240 = -z, -5*j = b*z - z - 4933. Is z a composite number?
False
Suppose 13*a - 14*a + 18947 = -16884. Is a prime?
True
Let i(u) = -u**3 - 44*u - 74. Is i(-19) composite?
False
Suppose 0*j - 5*j + 5*v - 10 = 0, v + 4 = 4*j. Let o(l) = 314*l**2 - 37*l**2 + 320*l**j + 278*l - 277*l. Is o(-2) prime?
False
Suppose 4*o - 2*o = -6. Let k be (-6)/(o*2/10). Suppose 15426 = k*v - v. Is v a prime number?
False
Suppose -h = 5*m - 731, -h + m + 865 = 158. Is (h/9)/(2/46) composite?
True
Let h(a) be the third derivative of -a**6/120 + a**5/5 - 5*a**4/8 + 5*a**3/2 + 2*a**2. Suppose -116 + 276 = 16*f. Is h(f) a composite number?
True
Let h = -436 - -436. Suppose 3*i = -g + 2003, h*g + 1328 = 2*i - 3*g. Is i composite?
True
Suppose 2*z = 3*j + 8 - 30, -3*z = 4*j - 18. Suppose -j*a = -2*a - 2536. Suppose -s + 2*y = -0*y - 308, 2*s = -2*y + a. Is s prime?
False
Let q = -6783 - -19204. Is q prime?
True
Let y(r) = -7*r + 44. Let h(v) = 6*v - 44. Let f(t) = -5*h(t) - 4*y(t). Let m be f(15). Suppose -1056 = -m*i + 38522. Is i a prime number?
False
Let l(z) = -3*z**3 - z**2 - 2*z + 7. Let a be l(0). Suppose -10*k + 106097 = a*k. Is k a composite number?
True
Let y(c) = c**3 + c**2 - c + 21. Let b be y(5). Suppose 6*n - 3*n - 6 = 0. Suppose 2 = j - n, l - b = -2*j. Is l prime?
False
Suppose 13012 = -184*l + 180*l. Is 2 - l - 8/(-12)*6 composite?
False
Let i be (3 - 14/10)/(2/(-75)). Let j = i - -65. Suppose 2346 = j*o + o. Is o prime?
False
Let q(t) be the third derivative of 23*t**4/24 + 4*t**3/3 - 25*t**2. Is q(3) composite?
True
Suppose -5*j + 696457 = -o, 4*o + 498397 = 4*j - 58775. Is j a composite number?
False
Let o(f) = -f**2 + 11*f - 9. Let r be o(9). Let w = 416 - -2168. Suppose r*n = 7667 + w. Is n prime?
False
Let l be (-42952)/(-4) - 0/((-6)/2). Let u = -6047 + l. Is u composite?
False
Suppose 7*k + 83932 = 31082. Let y = 12213 + k. Is y a prime number?
True
Let x = -16 - -26. Let s be 2 - (-44)/23 - (14 - (-7776)/(-552)). Suppose x*g = -s*g + 35826. Is g prime?
False
Is 6/((-72)/(-3))*(-13164084)/(13 - 22) prime?
True
Is (2323656288/(-1440))/((-8)/5 - -1) a composite number?
True
Suppose 0 = -33*m - 16*m + 5956979. Is m a prime number?
True
Let q(r) = -r - 1. Let m be q(-1). Suppose -5*h - 5*l = -3*h + 39, m = h - 2*l + 15. Is 281790/306 - (-1 - 15/h) a composite number?
True
Suppose 15*q = 3*q + 12. Is (-56 - -57) + q + 989 a composite number?
False
Let d(i) = 21*i - 26. Let s be d(-15). Let w = s - -1014. Is w prime?
True
Suppose 22*z - 25*z + 170915 = -5*y, -3*z - 5*y = -170935. Suppose z = 15*a + 10*a. Is a a composite number?
True
Let m be (96/(-54))/(-4)*-140538*-3. Suppose -43216 + m = 24*n. Is n prime?
True
Let b be 1*(-1)/3 - (-16)/3. Suppose -4*u - 26921 = -b*o, -o + 904 = 4*u - 4461. Is o composite?
False
Let z(p) = 7944*p - 5447. Is z(5) a prime number?
True
Suppose -3*w - 69 = -81. Suppose -i = 3*c - 6378, w*c - 468 = 5*i + 8036. Suppose -7*r = -5679 - c. Is r composite?
True
Let j(x) = -28*x + 15*x + 5452*x**2 - 5417*x**2 - 34*x - 25. Is j(-27) prime?
True
Suppose -6*u = -3*s + 13 + 8, 3 = 2*u - 3*s. Let t(h) be the third derivative of -133*h**4/24 - 11*h**3/6 - h**2. Is t(u) a composite number?
False
Let v = -44 + 60. Suppose -5*y = 3*u - v, u = -u - y + 6. Let d(s) = 197*s - 5. Is d(u) prime?
True
Suppose -4*s = -4, -2*s + 1595 = 4*l - 5*l. Let k = 2832 + l. Suppose 3*h + 0*h - k = 0. Is h a composite number?
True
Suppose 2*w - 6 = 0, -5*g - 2*w + 10 = -3*g. Suppose 0 = -g*c + 296 + 2592. Suppose 3*f - c = 449. Is f a composite number?
False
Let q be (-3107)/39*(55 + -1). Let y = -2939 - q. Is y a prime number?
False
Suppose 0 = -y + 2*f + 818, 3*f + 6083 = 5*y + 2028. Suppose b = -0*b - y. Let v = 1251 + b. Is v a composite number?
False
Let z = -167387 + 297208. Is z prime?
False
Let c(m) = -5*m**3 + 3*m**2 - 3. Let a be c(-4). Suppose -12*o = 3*o - 16*o + 521. Suppose -a - o = -2*b. Is b a prime number?
True
Is (4/(16/(-14)) + 3)*(10 - 170672) prime?
True
Suppose -4*z + 3*l = -75577, -4*z + 5*l = -z - 56691. Suppose -2*x + z = 2*x. Let f = 8418 - x. Is f composite?
True
Let l(t) = 1364*t**2 + 41*t - 274. Is l(17) a composite number?
False
Let n = 52 + -55. Let v be 2/(-9)*n - 418/(-66). Suppose 4*r - 229 = v. Is r prime?
True
Suppose 33 + 3 = 4*z - 4*l, 0 = -z + 3*l + 17. Suppose z*r + g - 13167 = 0, -5*g + 6139 + 1770 = 3*r. Is r a prime number?
True
Let j(q) = q**3 + 8*q**2 - 10*q - 8. Let m be j(-9). Let a be (-1)/(m*(-1 - 0)). Is ((-6)/2 + a)/(4/(-3086)) a prime number?
True
Suppose 0 = 4*t - 3*g - 60 + 15, -28 = -2*t - 4*g. Let k(o) = 897*o + 253. Is k(t) a prime number?
False
Let o = 34958 - -56143. Is o composite?
True
Suppose -9602*x + 9623*x - 1347339 = 0. Is x a prime number?
False
Let h(a) = a**2 - 10*a - 9. Let o be h(11). Suppose -1 = o*t + 5*q - 19, -2*q = -t. Suppose 8*c - t*c = -r + 523, -2*c - 1541 = -3*r. Is r composite?
True
Is (-3)/(23/(23850862/(-42))) a prime number?
True
Let a(r) = -17*r - 10. Let b be a(1). Is 100374/18*(b/(-3))/3 a prime number?
True
Suppose -993 - 417 = 5*g. Let o = g - -442. Suppose -4*a = -a + 2*k - 161, -o = -3*a - k. Is a prime?
True
Let w(k) = -46*k**3 - 18*k**2 + 31*k + 154. Is w(-13) a prime number?
True
Let v = 53343 + -37832. Is v composite?
False
Let r(p) = -99*p**2 - 3*p + 7. Let v be r(-11). Let b = v + 17184. Is b a composite number?
True
Suppose -2720869 - 7936483 = -16*c + 5327720. Is c a prime number?
True
Is (-29)/((-87)/40725) - 1/(1/(-4)) composite?
True
Suppose -2*i + 13 = -3*v - 67, 3*i - 134 = v. Let a(l) = i*l - 1 + 79*l + 15*l + 168*l. Is a(1) composite?
False
Suppose 576*d - 14610355 = 309803789. Is d a composite number?
False
Let a = 286 + -282. Suppose 3*o + a*g = 6*o - 18571, -o + 3*g = -6182. Is o a composite number?
False
Suppose 2*n + 3*v - 1158295 = 0, 0*v - 2895800 = -5*n + 5*v. Is n prime?
False
Let l(k) = k**3 - 2*k**2 - k + 1. Let s be (1 - -2) + -1*(-3)/(-3). Let i be l(s). Is i + (-7)/((-7)/1152) a composite number?
False
Let t be 1*-1*(-4 - -3). Let i(b) = 166*b**3 - b**2 + 3*b - 2. Let p be i(t). Suppose k - p = -47. Is k composite?
True
Let j = -694501 + 1035210. Is j a prime number?
True
Let p(n) = -18*n + 14. Let f be p(3). Let b = f - -44. Suppose a - 555 = -2*j, -4*a + 2051 = b*j - 153. Is a a prime number?
Tr | {
"pile_set_name": "DM Mathematics"
} |
er: -1/6 or -152?
-152
Does 463 = 464?
False
Is 526 < 527?
True
Which is greater: 122/7 or -2?
122/7
Is 0 equal to 59/166?
False
Is 15 >= -2/11?
True
Is 1 greater than or equal to -9/53?
True
Which is smaller: 2 or 18391?
2
Is -1/401 smaller than 1?
True
Which is greater: 1003/3 or 335?
335
Is -2/33 bigger than -70/13?
True
Which is smaller: -1/4 or 10.913?
-1/4
Which is greater: 639 or 0.1?
639
Is -0.54 less than 1?
True
Is 1 at least -0.04127?
True
Which is smaller: -1874 or -1878?
-1878
Which is smaller: -11/111 or 0?
-11/111
Which is smaller: -11 or -153?
-153
Are -0.1 and 307 unequal?
True
Do -167 and -166 have different values?
True
Which is greater: -2651 or -0.1?
-0.1
Is 30 at least -25?
True
Are 7773 and 7773 equal?
True
Which is bigger: 0 or 3/403?
3/403
Are -1 and -1/4032 equal?
False
Is 1/88 greater than or equal to 1?
False
Is -740 >= -739?
False
Is -5/427 bigger than -1?
True
Is -2/17 smaller than 637?
True
Which is smaller: 3549 or 3550?
3549
Which is bigger: 0 or -70884?
0
Is 1/143 <= -1?
False
Which is bigger: 6/149 or 1?
1
Is -1 less than -2/1251?
True
Which is smaller: 3965 or 3967?
3965
Is 1/839 greater than or equal to -1?
True
Which is bigger: 36 or 177/5?
36
Which is greater: 3 or 681?
681
Is 0.1 at most as big as -7/13?
False
Is -0.29 smaller than -49?
False
Is 0.06 less than or equal to 517?
True
Which is bigger: 1 or 12/2239?
1
Which is bigger: -3 or -557?
-3
Is -56/523 bigger than 1?
False
Is -2/7 bigger than 94/15?
False
Is 2 at most as big as 51/19?
True
Is 1030 at least as big as 1032?
False
Is -3/4895 at least 0?
False
Is -100 less than or equal to -33?
True
Is -3/23 at least as big as -1/3?
True
Is -6/5 bigger than -2?
True
Which is smaller: -56 or -47?
-56
Is -3/1889 smaller than -1/4?
False
Is 1 at most as big as 6/215?
False
Which is greater: -93 or -462/5?
-462/5
Is 28 >= 14?
True
Is -569 at least as big as -531?
False
Which is smaller: 104 or 43?
43
Which is smaller: -118/3 or -38?
-118/3
Is 60 smaller than -140?
False
Is 2583 smaller than 0.05?
False
Is -28 smaller than -26?
True
Which is bigger: -1 or -6/1187?
-6/1187
Which is smaller: -131 or -392/3?
-131
Is 11560 greater than or equal to 11559?
True
Which is greater: 368/9 or 40?
368/9
Which is smaller: -182/9 or 0.2?
-182/9
Which is smaller: -219/5 or -2?
-219/5
Which is greater: 0 or 1/3929?
1/3929
Are -291 and -290 nonequal?
True
Which is smaller: 1.1 or 21?
1.1
Is -92 smaller than -108?
False
Which is greater: -113 or -0.4?
-0.4
Is -5/34 bigger than 1?
False
Is 0.1 at most as big as 0.1173?
True
Which is smaller: -347 or -81?
-347
Are 37 and 43 unequal?
True
Which is smaller: -23.9 or -36?
-36
Which is bigger: -1 or 7/592?
7/592
Which is bigger: -5 or -9?
-5
Is -4 != -4?
False
Which is greater: 33 or 348/11?
33
Is 68/3 <= 22?
False
Which is smaller: 99 or 491/5?
491/5
Is -76 greater than or equal to -73?
False
Which is greater: 113 or 118?
118
Which is bigger: -3/1751 or -1?
-3/1751
Is -34 less than or equal to -20?
True
Which is smaller: 2 or 2213?
2
Is -27/37 < -1?
False
Which is bigger: -1664 or -1674?
-1664
Which is smaller: -776 or -775?
-776
Which is smaller: -5 or 3/4?
-5
Is 166 smaller than 175?
True
Which is smaller: 4171/4 or 1042?
1042
Which is smaller: -277 or -37?
-277
Which is smaller: -1571 or -1572?
-1572
Which is greater: -4126 or -4124?
-4124
Which is greater: 24 or 13?
24
Is 831/7 greater than 119?
False
Is 2461/2 equal to 1231?
False
Which is smaller: -7 or -93?
-93
Which is bigger: 0.1 or 76?
76
Which is greater: -278 or -12?
-12
Which is smaller: 11 or -29?
-29
Is 1 less than or equal to 26/379?
False
Which is smaller: 0 or 8/479?
0
Which is smaller: 854 or 853?
853
Which is bigger: 83 or -2/7?
83
Is 0.231 > 0?
True
Is 276 not equal to 277?
True
Is -2/9 equal to 2075?
False
Which is smaller: -52 or -58?
-58
Which is smaller: 30 or 26?
26
Which is greater: 2 or -1747?
2
Which is smaller: -14 or 117?
-14
Is 16207 < 16206?
False
Is 9/1075 smaller than 1?
True
Do 9276 and 4 have different values?
True
Is 22 equal to 188/9?
False
Is 110/21 equal to 5?
False
Which is smaller: -129 or -12?
-129
Which is bigger: -67 or -66?
-66
Is 9/4 less than or equal to 2?
False
Are -40 and -39 equal?
False
Are 1847 and 1843 unequal?
True
Is 822 greater than 825?
False
Which is greater: -219 or -3?
-3
Is 6 greater than 1?
True
Which is greater: 1418 or 0.1?
1418
Which is smaller: -82/45 or -2?
-2
Which is smaller: 37 or 65?
37
Is 28 smaller than 23?
False
Are -283 and -281 non-equal?
True
Which is smaller: 20278 or 20277?
20277
Are 2/3 and -820 nonequal?
True
Which is smaller: 2/51 or 1?
2/51
Is -88 at most as big as 8.5?
True
Which is smaller: -1 or 234/7?
-1
Is 1 smaller than -60/839?
False
Is -100 equal to -96?
False
Is -47/5 less than or equal to -8?
True
Is 1 <= 1/42?
False
Is -5490 <= -5494?
False
Which is bigger: -4/9 or 65?
65
Which is greater: -180 or -181?
-180
Which is bigger: -26/5 or -6?
-26/5
Which is smaller: -2/1857 or 0?
-2/1857
Which is smaller: 0 or 1/12323?
0
Is -701 < -698?
True
Is -29/21 >= 0?
False
Which is smaller: 2 or 4188?
2
Which is bigger: -12/7 or -3?
-12/7
Are 5 and 70 nonequal?
True
Is 838 not equal to 838?
False
Is -2730 less than or equal to -2733?
False
Is -36 >= -77?
True
Which is bigger: -1/4 or -111?
-1/4
Which is bigger: -1 or -12/949?
-12/949
Which is bigger: 3/5762 or 0?
3/5762
Are 1/2216 and 0 equal?
False
Is -2/7 bigger than 28817?
False
Which is bigger: 0.039 or -6/11?
0.039
Is -2/5 at least as big as -12/31?
False
Is -16/1117 at most as big as 0?
True
Which is smaller: -0.03 or -174?
-174
Is -13391 smaller than -13388?
True
Which is bigger: 1/18 or 1?
1
Is 0 greater than 112?
False
Is 116 smaller than 118?
True
Which is greater: -1/2968 or 0?
0
Which is bigger: 1/24 or 0.086?
0.086
Do -128 and -129 have the same value?
False
Which is greater: -1/2 or 0.0296?
0.0296
Which is smaller: -135 or -1744/13?
-135
Do -663 and -663 have the same value?
True
Is 69 smaller than 679/10?
False
Which is smaller: 6/7 or -1?
-1
Which is smaller: -15/4519 or 1?
-15/4519
Do 4714 and 4715 have the same value?
False
Is -7 at most as big as 3?
True
Which is smaller: -0.08 or -454?
-454
Do -1 and -1/2073 have the same value?
False
Which is smaller: -572 or -571?
-572
Which is greater: -1/25699 or -1?
-1/25699
Which is smaller: 19 or -2?
-2
Which is bigger: -3/47 or 1?
1
Which is smaller: -0.05 or 528?
-0.05
Are 223 and 222 equal?
False
Which is bigger: 339 or 337?
339
Is -210 > 3/7?
False
Which is greater: 11 or 0?
11
Which is smaller: 1268 or 1275?
1268
Is 2/351 greater than -1?
True
Is -58/7 >= -0.1?
False
Is -124 > 2?
False
Is 1/5 less than or equal to -0.32?
False
Which is greater: 2 or 38?
38
Is 423 != 424?
True
Which is bigger: 1172 or 1168?
1172
Which is bigger: -1 or 0.0236?
0.0236
Is 328/19 less than 17?
False
Is -489/100 equal to -4?
False
Is -290 less than or equal to -300?
False
Which is smaller: 841/3 or 281?
841/3
Is -245 > -247?
True
Is 23364 less than 2/3?
False
Is 0.325 greater than -1/9?
True
Is -290 >= -288?
False
Which is smaller: -218 or 1?
-218
Which is smaller: 7/103 or -5?
-5
Are -1/45 and -44 equal?
False
Which is smaller: -22/19 or 2/5?
-22/19
Does 46 = -3/4?
False
Is -389 bigger than -1948/5?
True
Are 1/982 and 1 nonequal?
True
Which is smaller: 36 or 21?
21
Is 6.9 bigger than -10?
True
Which is bigger: -411/2 or -207?
-411/2
Are 9 and 149/15 equal?
False
Is -246 smaller than -246?
False
Is -19 <= -56/3?
True
Is -85 greater than -84?
False
Which is smaller: 33 or -6?
-6
Are -1/2 and 2/179 nonequal?
True
Which is smaller: 10/311 or 1?
10/311
Is -27/23 < -2?
False
Is 418 equal to 417?
False
Which is bigger: 446 or 445?
446
Is -457 greater than or equal to -455?
False
Does 247 = 4/13?
False
Is -1 less than 2/809?
True
Is -171 at most -173?
False
Is -143 smaller than -140?
True
Which is bigger: -800 or -803?
-800
Is -54 greater than -85?
True
Is -1 at most as big as -4/4937?
True
Which is greater: -226 or -2/7?
-2/7
Which is bigger: 94/9 or 11?
11
Is 1208 at least as big as 1208?
True
Which is smaller: -1 or 1/78?
-1
Is 567 at most as big as 1?
False
Which is smaller: 252 or 501/2?
501/2
Is -253 less than -7?
True
Which is greater: 22 or -0.34?
22
Is -108 greater than -105?
False
Which is smaller: -6 | {
"pile_set_name": "DM Mathematics"
} |
common divisor of 16 and g?
2
Let f = 811 + -755. What is the highest common divisor of 14 and f?
14
Suppose -251 = -u + 5*v, -u = u + v - 557. Let c = u + -101. What is the greatest common factor of c and 25?
25
Let t be 0 + 1 + (83 - -2). What is the highest common factor of 215 and t?
43
Let k = -63 - -93. Let m = k - 24. What is the highest common factor of m and 42?
6
Let f = 399 + 52. What is the highest common factor of f and 41?
41
Let w = -161 - -165. Calculate the greatest common divisor of 4 and w.
4
Suppose k + 3*k - 131 = -5*n, 3 = -3*n. Calculate the highest common divisor of k and 85.
17
Suppose -3*z = -9*z. Suppose 3*y + 1 + 11 = z. Let f(w) = -w**2 - 4*w + 4. Let r be f(y). What is the greatest common divisor of 4 and r?
4
Let c be 15*5*3/15. What is the greatest common factor of 12 and c?
3
Let t = 7 - -29. Let y(k) = 2*k + 6. Let z be y(3). Calculate the highest common factor of z and t.
12
Let l = 117 - 81. Let u be 42/l + 1/(-6). Let y be (0 + u)/((-5)/(-70)). Calculate the highest common divisor of y and 21.
7
Suppose 0*w - w + 5 = 2*h, 0 = 3*h + 9. Let s(n) = -2*n + 24. Let a be s(-32). Calculate the greatest common divisor of a and w.
11
Let j = 2 + -17. Let b be (-369)/j - (-4 + 69/15). What is the highest common factor of 8 and b?
8
Suppose 4*n = 9 + 15. Let j(r) = 16*r + 2. Let f be j(-2). Let i be 3/((f/(-4))/5). What is the highest common divisor of n and i?
2
Let k be 50 + (-1 - -1*1). Suppose -2*n - 2*p - p = -25, n = -3*p + 5. Let l be ((-6)/12)/(-1)*n. What is the highest common factor of l and k?
10
Let g = -3 + 3. Let i = 13 - g. Let r = 40 - i. Calculate the greatest common factor of r and 9.
9
Let p be (2 + -1 + 11)/1. Suppose 5*h = 3*b - 5*b + 194, -5*h = 3*b - 191. Let m = 88 - h. What is the greatest common divisor of p and m?
12
Let x be 0/((-1 + 2)*-3). Suppose -10*s + 3*s + 7 = x. What is the highest common factor of s and 1?
1
Let p = 398 - 28. Calculate the highest common factor of 20 and p.
10
Let b = 208 - 113. Let n = -53 + b. What is the greatest common divisor of 6 and n?
6
Suppose -77 = -3*n - 5*x, 3*x - 6 - 6 = 0. Let t(d) = 10*d + 108. Let j be t(-7). Calculate the greatest common factor of j and n.
19
Let a be (-7)/(-2)*20/35. Let w(i) = -i + 3*i**2 + 2 - 6*i**a + 8*i**2. Let v be w(2). Calculate the greatest common factor of 50 and v.
10
Suppose -8*v + 2*k = -5*v - 2416, 0 = 2*k + 4. What is the highest common factor of 12 and v?
12
Let s(p) = 3*p**2 + 19*p + 77. Let v be s(-7). What is the greatest common divisor of v and 26?
13
Let w(b) = 332*b + 1. Let t = -2 + 4. Let p be w(t). Suppose 0 = -6*l + p + 343. What is the greatest common divisor of 24 and l?
24
Let h be (-10)/35 - 256/(-14). Let y be (-8)/6*h/(-1). Calculate the highest common divisor of y and 8.
8
Let o be 288*1*4/8. What is the greatest common divisor of o and 180?
36
Let o(p) = -p**3 - 2*p**2 + 8*p - 9. Let v be o(-5). Let q = -6 + 34. Let z = q - v. What is the highest common factor of z and 18?
2
Let u(g) = -g**2 + 6*g + 34. Let r be u(14). Suppose -10 = -5*z - 0. Let o be ((-4)/z)/(6/r). What is the highest common divisor of 65 and o?
13
Let t be ((-72)/28)/(2/(-7)). What is the greatest common factor of t and 9?
9
Suppose 12*p = -1315 - 389. Let j = -88 - p. Calculate the highest common divisor of 135 and j.
27
Let m = 64 + -36. Let h(w) be the first derivative of w**4/4 + 2*w**3/3 - 3*w**2/2 + 4*w + 2. Let n be h(-3). Calculate the highest common factor of m and n.
4
Suppose 0 = 2*l + d - 52, -4*l - 3*d + 48 = -2*l. Let p = 13 + l. What is the greatest common factor of 16 and p?
8
Let n be (-1*56/(-2))/2. Suppose 5*t + 4*k - 140 = 0, 0 = -5*t + 3*k + 95 + 45. What is the highest common factor of t and n?
14
Let g(b) = -b**2 - 12*b - 19. Let m be g(-5). Calculate the greatest common divisor of m and 88.
8
Suppose -v = 3*v - 288. Let f be 2/(-24)*-50 - 1/6. Let o(s) = -4*s + 25. Let q be o(f). Calculate the highest common divisor of q and v.
9
Let v(u) = u**2 - u. Let q(h) = -3*h - 22. Let m be q(-9). Let o be v(m). Calculate the highest common factor of 20 and o.
20
Let p(y) = -y**2 - 9*y - 4. Let r be p(-4). Suppose u + 4 = 3*f, -u - 7 = -5*f + 5. Calculate the greatest common factor of u and r.
8
Suppose 10*n = 30*n - 40. Suppose 0 = 3*f - 2*f - 16. What is the greatest common divisor of n and f?
2
Suppose 3*r - 40 = f, r - 3*r + 5*f + 44 = 0. What is the highest common divisor of 15 and r?
3
Suppose -5*w + 44 = 49. Let x be (w - (3 + -1))*-2. Calculate the highest common divisor of x and 42.
6
Let d be (-363)/(-8) + (-207)/552. Calculate the highest common divisor of d and 1335.
15
Suppose 0 = 4*d - 58 - 74. Let f(r) = r**3 + 7*r**2 + 5*r - 3. Let p be f(-5). Calculate the highest common factor of d and p.
11
Let j = 1 - -1. Suppose -3 = -a + j. Suppose u + a*u = 96. Calculate the greatest common divisor of 8 and u.
8
Let d be (9/18)/((-1)/(-46)). Let i = 427 - 220. What is the highest common divisor of d and i?
23
Let u be (-39)/7 + 30/(-70). Let w(s) = 2*s**2 - s - 2. Let z be w(-1). Let y be (9/u)/(z/(-4)). What is the greatest common factor of 60 and y?
6
Let p(q) = q**2 + 46*q + 33. Let g be p(-51). What is the greatest common factor of 9 and g?
9
Let x(d) = d**2 + 3*d + 7. Let h be x(-6). Let a = 483 - 233. Calculate the highest common factor of a and h.
25
Suppose 0 = -3*g - 8 - 4. Let v be (-2 - (g - -4))/(1/(-51)). What is the highest common divisor of 68 and v?
34
Suppose -11*s + 23 = -98. Let z(i) = -75*i**2 + i - 1. Let y be z(1). Let u = -20 - y. What is the greatest common divisor of s and u?
11
Suppose -34*t = -41*t + 1001. Calculate the greatest common factor of 11 and t.
11
Let f be (-2)/5 - 127/(-5). Let t = 34 - 30. Suppose 7*k - t*k - 15 = 0. Calculate the highest common divisor of k and f.
5
Let o = 47 - 42. Let c be ((-5)/15)/(o/(-135)). Calculate the highest common divisor of c and 1.
1
Let g(l) = -l**3 + 9*l**2 - 27*l + 59. Let w be g(6). Let h be (30/(-4))/(1/(-2)). What is the highest common factor of w and h?
5
Let u(d) = d + 6. Let z be u(-6). Let w = z + 1. Let v = -1462 - -1470. What is the highest common factor of v and w?
1
Let h be 4/(-6) + 9 + (-3115)/(-15). Calculate the greatest common divisor of 32 and h.
8
Let p(o) = -o**3 + 13*o**2 - 13*o + 1. Let c be p(7). Let z = c + -132. Let r(w) = 2*w**2 + 4*w. Let n be r(4). Calculate the highest common divisor of z and n.
24
Let s = 7 - 5. Let p be s/6 + (-272)/(-3). Let z = -15 + 28. What is the greatest common divisor of z and p?
13
Suppose 4*h - u = 499 + 302, 3*u - 597 = -3*h. Calculate the greatest common divisor of 140 and h.
20
Let l = 772 + -712. Suppose -2*q + q + 24 = 0. What is the greatest common divisor of l and q?
12
Let m = -1362 + 1412. Calculate the highest common divisor of m and 140.
10
Suppose -19 - 365 = -6*y. What is the greatest common factor of 416 and y?
32
Suppose -235*y + 19383 = -22*y. Suppose 2*v - 2 = -0, -v - 74 = 3*d. Let g = d + 38. Calculate the highest common factor of g and y.
13
Let b = -169 - -186. What is the greatest common factor of b and 119?
17
Let i be 10*4 + (-7)/(-7). Suppose i = 2*a - 19. Calculate the greatest common divisor of 15 and a.
15
Suppose 4*l + a = 4, 6*a - 4 = 3*l + 5*a. Suppose -4*k + k + 3*n = -27, l = -k - 4*n - 11. Calculate the highest common divisor of k and 65.
5
Suppose -5*q = -12 - 13. Let r(b) = -b**2 - 3*b - 3. Let g be r(-2). Let m(c) = 40*c**2 - 2*c - 2. Let o be m(g). What is the highest common factor of q and o?
5
Let m be ((-136)/(-51))/(1/39). Let t = 62 + -29. Let w = t + -20. What is the greatest common factor of m and w?
13
Suppose -2*x - 13 = -8*i + 3*i, 0 = 4*x + 3*i + 39. Let a be (x + 10)/(2/56). Calculate the highest common factor of a and 70.
14
Let u be (4/6)/((-48)/(-3096)). Let f = -27 + u. Calculate the greatest common divisor of 176 and f.
16
Let b(j) = -2*j + 28. Let l be b(-9). Let x be l/4 - (2/(-4) - 0). Let k be 0/(-1) + -2 + 8. Calculate the highest common factor of k and x.
6
Suppose -8*h + 255 = -3*h. Suppose -c - 3 = -h. Suppose -4*f - 3*r + 54 = 0, f + 1 = -5*r + 23. Calculate the greatest common factor of f and c.
12
Let w = -5846 + 5863. Let p = -782 - 49. Let x be 2/7 - p/7. What is the highest common factor of w and x?
17
Let z | {
"pile_set_name": "DM Mathematics"
} |
nder when 103173060 is divided by 20634609?
15
Calculate the remainder when 160233 is divided by 12.
9
Calculate the remainder when 51939019 is divided by 1305.
19
What is the remainder when 26219068 is divided by 67?
25
What is the remainder when 13207 is divided by 1013?
38
What is the remainder when 7235345 is divided by 7?
5
What is the remainder when 3077482 is divided by 2826?
2794
What is the remainder when 20306 is divided by 16386?
3920
Calculate the remainder when 3046036 is divided by 71.
65
Calculate the remainder when 1403028 is divided by 233776.
372
Calculate the remainder when 1595570 is divided by 2834.
28
What is the remainder when 22779 is divided by 21941?
838
What is the remainder when 158578 is divided by 129?
37
What is the remainder when 82520568 is divided by 667?
662
What is the remainder when 6878574 is divided by 8?
6
What is the remainder when 27513335 is divided by 36?
11
Calculate the remainder when 304874 is divided by 152032.
810
Calculate the remainder when 1386733 is divided by 240.
13
What is the remainder when 5860465 is divided by 338?
221
Calculate the remainder when 23204745 is divided by 12.
9
What is the remainder when 34150 is divided by 17070?
10
Calculate the remainder when 4079331 is divided by 679884.
27
Calculate the remainder when 85889 is divided by 419.
413
What is the remainder when 4366505 is divided by 1531?
93
Calculate the remainder when 118841 is divided by 1507.
1295
Calculate the remainder when 2083846 is divided by 27.
13
What is the remainder when 1452927 is divided by 1452922?
5
What is the remainder when 6050608 is divided by 19969?
1
Calculate the remainder when 291210383 is divided by 1688.
1687
What is the remainder when 367733 is divided by 1268?
13
Calculate the remainder when 98170 is divided by 245.
170
What is the remainder when 12524239 is divided by 778?
773
What is the remainder when 408276 is divided by 1453?
1436
Calculate the remainder when 39100384 is divided by 1303346.
4
Calculate the remainder when 5242693 is divided by 291239.
391
What is the remainder when 532111 is divided by 3146?
437
What is the remainder when 20019 is divided by 2403?
795
What is the remainder when 8885 is divided by 1472?
53
What is the remainder when 24506826 is divided by 730?
726
Calculate the remainder when 567240 is divided by 1565.
710
Calculate the remainder when 40858 is divided by 1631.
83
What is the remainder when 43842443 is divided by 1623793?
32
What is the remainder when 3127735 is divided by 105?
100
Calculate the remainder when 26207312 is divided by 547.
542
Calculate the remainder when 15931132 is divided by 414.
412
Calculate the remainder when 704396 is divided by 88043.
52
Calculate the remainder when 104021 is divided by 77.
71
Calculate the remainder when 11136855 is divided by 991.
988
What is the remainder when 2870552 is divided by 5640?
5432
What is the remainder when 2559877 is divided by 853138?
463
What is the remainder when 484016 is divided by 3312?
464
Calculate the remainder when 1618904 is divided by 231269.
21
Calculate the remainder when 1304693 is divided by 1184.
1109
What is the remainder when 319299 is divided by 105515?
2754
Calculate the remainder when 116323259 is divided by 284.
267
Calculate the remainder when 525628175 is divided by 11.
6
What is the remainder when 165446 is divided by 165376?
70
What is the remainder when 176857230 is divided by 35371446?
0
What is the remainder when 21449051 is divided by 186?
89
Calculate the remainder when 9229592 is divided by 615304.
32
What is the remainder when 3097212 is divided by 9414?
6
Calculate the remainder when 29917822 is divided by 15.
7
Calculate the remainder when 16209901 is divided by 1080660.
1
What is the remainder when 963464 is divided by 240860?
24
What is the remainder when 51375282 is divided by 4971?
4968
What is the remainder when 1113705 is divided by 1270?
1185
Calculate the remainder when 37621070 is divided by 74.
62
Calculate the remainder when 3489043 is divided by 2067.
2014
Calculate the remainder when 1022639 is divided by 1880.
1799
What is the remainder when 689652 is divided by 25?
2
Calculate the remainder when 5621457 is divided by 340.
237
What is the remainder when 11451067 is divided by 163?
154
Calculate the remainder when 93448 is divided by 45931.
1586
What is the remainder when 171628993 is divided by 473?
470
Calculate the remainder when 36589797 is divided by 130.
127
Calculate the remainder when 114454 is divided by 56331.
1792
Calculate the remainder when 15579 is divided by 5050.
429
What is the remainder when 9988810 is divided by 587565?
205
Calculate the remainder when 58328 is divided by 546.
452
What is the remainder when 28551 is divided by 8229?
3864
Calculate the remainder when 48068 is divided by 23596.
876
Calculate the remainder when 28811941 is divided by 1303.
5
Calculate the remainder when 234066 is divided by 2959.
305
Calculate the remainder when 50716 is divided by 1682.
256
What is the remainder when 14546803 is divided by 969781?
88
What is the remainder when 60141 is divided by 11383?
3226
Calculate the remainder when 513979 is divided by 128401.
375
Calculate the remainder when 6861949 is divided by 87.
85
What is the remainder when 16393179 is divided by 38?
17
What is the remainder when 76727227 is divided by 2526?
2503
Calculate the remainder when 2623234 is divided by 3721.
3650
Calculate the remainder when 161089277 is divided by 673.
670
Calculate the remainder when 1849916 is divided by 924934.
48
What is the remainder when 27378 is divided by 1949?
92
What is the remainder when 267460 is divided by 93?
85
What is the remainder when 95835636 is divided by 636?
612
What is the remainder when 2577489 is divided by 257748?
9
What is the remainder when 26053 is divided by 2024?
1765
Calculate the remainder when 37040 is divided by 12334.
38
What is the remainder when 29022422 is divided by 85360?
22
What is the remainder when 22738 is divided by 1259?
76
Calculate the remainder when 81239948 is divided by 189.
188
What is the remainder when 1663695 is divided by 62?
49
What is the remainder when 406621 is divided by 835?
811
What is the remainder when 24258 is divided by 444?
282
Calculate the remainder when 50315618 is divided by 2136.
2
Calculate the remainder when 412972 is divided by 1811.
64
What is the remainder when 131124 is divided by 4211?
583
Calculate the remainder when 1416860 is divided by 658.
186
Calculate the remainder when 203642 is divided by 1340.
1302
What is the remainder when 10239 is divided by 9845?
394
Calculate the remainder when 9353573 is divided by 328.
325
What is the remainder when 33424 is divided by 69?
28
What is the remainder when 549182 is divided by 18937?
9
What is the remainder when 20924874 is divided by 2366?
2336
Calculate the remainder when 2380919 is divided by 661.
658
Calculate the remainder when 16420091 is divided by 1232.
1227
What is the remainder when 5262034 is divided by 18?
4
What is the remainder when 457323 is divided by 226384?
4555
What is the remainder when 34072 is divided by 177?
88
What is the remainder when 194436073 is divided by 17676006?
7
Calculate the remainder when 20263136 is divided by 14.
12
What is the remainder when 342550 is divided by 2182?
2158
What is the remainder when 161482 is divided by 342?
58
Calculate the remainder when 11785670 is divided by 397.
328
Calculate the remainder when 2549095 is divided by 4846.
99
What is the remainder when 1725275 is divided by 17?
13
What is the remainder when 583253 is divided by 24302?
5
What is the remainder when 73241 is divided by 5990?
1361
What is the remainder when 97207 is divided by 829?
214
Calculate the remainder when 8919 is divided by 148.
39
What is the remainder when 54648612 is divided by 1015?
1012
Calculate the remainder when 112649919 is divided by 187.
184
Calculate the remainder when 82260 is divided by 37.
9
Calculate the remainder when 126502 is divided by 1304.
14
Calculate the remainder when 582953 is divided by 1584.
41
Calculate the remainder when 365443 is divided by 365432.
11
What is the remainder when 11752628 is divided by 22?
8
What is the remainder when 84945145 is divided by | {
"pile_set_name": "DM Mathematics"
} |
x) be the first derivative of -x**8/112 - 13*x**6/360 + 6*x**3 + 1. Let z(a) be the third derivative of l(a). Find the third derivative of z(g) wrt g.
-360*g
Let o(t) be the third derivative of 73*t**5/20 + t**4/12 - 73*t**3/2 + 350*t**2. Find the first derivative of o(f) wrt f.
438*f + 2
Let g(o) be the second derivative of o**3/6 + 101*o**2/2 - 155*o. Differentiate g(r) wrt r.
1
Let b(t) be the third derivative of 23*t**5/10 - 101*t**3/6 - 177*t**2. What is the derivative of b(u) wrt u?
276*u
Let q be (-13)/(-26)*(0 - -2)*2. Find the second derivative of 13*m - 11*m + 16*m**q + 17*m**2 wrt m.
66
Let h(u) = -55*u**2 + u - 201. Let d(i) = -110*i**2 + 3*i - 401. Let p(b) = 2*d(b) - 5*h(b). Differentiate p(y) wrt y.
110*y + 1
Let w(a) = 5*a + 6. Let m be w(0). Let l(s) be the first derivative of 0*s + 0*s**3 + s**4 + m + 3/2*s**2. Find the second derivative of l(k) wrt k.
24*k
Let g(w) be the first derivative of w**8/60 - 3*w**4/2 - 6*w**3 + 40. Let p(d) be the third derivative of g(d). Differentiate p(v) wrt v.
112*v**3
Let d(l) be the first derivative of 878*l**7/7 + 247*l**3/3 - l**2 + 209. What is the third derivative of d(g) wrt g?
105360*g**3
Suppose 0 = 4*m - 2 - 2. Let b = m - -1. Differentiate -5 - 4*o + b + 4*o - 5*o**3 wrt o.
-15*o**2
Suppose 8 = 2*b - z, 6*b - 29 = b - 2*z. What is the second derivative of 1292 + 27*m - 1292 - 24*m**b wrt m?
-480*m**3
Differentiate -23*c**2 - 450 - 21*c**2 + 67*c**2 - 20*c**2 + 3*c wrt c.
6*c + 3
Let s = 10 + -7. Let f(a) be the second derivative of 2/3*a**s - 7/12*a**4 + 5*a + 0*a**2 + 0. What is the second derivative of f(z) wrt z?
-14
Let g(n) be the first derivative of -45*n**5 + n**3 + 88*n + 209. What is the third derivative of g(p) wrt p?
-5400*p
Suppose -105*s = -92*s. Let d(c) be the second derivative of -2*c**2 - 1/10*c**5 + 2*c + 0*c**4 + s + 0*c**3. Find the first derivative of d(v) wrt v.
-6*v**2
Let h = 63 - 34. Find the first derivative of -9 + 20 - 4*a + h*a wrt a.
25
Let f(g) be the second derivative of 519*g**5/20 - 101*g**4/12 + 514*g. What is the third derivative of f(q) wrt q?
3114
Let n be 2/3 + (-292)/(-12). Find the third derivative of k**2 - n*k**3 - 10*k**4 - 5*k**2 + 25*k**3 wrt k.
-240*k
Let r(s) be the second derivative of 23*s**6/10 - 3*s**4/4 + s**2 + 10*s + 2. Find the third derivative of r(a) wrt a.
1656*a
Let y(u) be the third derivative of -85*u**4/6 + 16*u**3 - 199*u**2. Differentiate y(t) with respect to t.
-340
Suppose 0*y + 3*y - 18 = 0. Find the first derivative of 3*n**2 + y*n**2 - 11 - 2*n**2 + 6*n**2 wrt n.
26*n
Differentiate -2*t**4 - 7 - 8 + 436*t**2 - 436*t**2 - 3*t**3 wrt t.
-8*t**3 - 9*t**2
Let o = 66 - 65. Let y(r) = -r**2 - 1. Let w(q) = -4*q**2 - 27. Let z(v) = o*w(v) - 3*y(v). Differentiate z(a) wrt a.
-2*a
Let w(d) be the second derivative of -25/12*d**4 + 17/2*d**2 - 9*d + 0 + 0*d**3. What is the derivative of w(a) wrt a?
-50*a
What is the first derivative of 95 + 172 + 82 - 3*p + 137 + 3*p**3 - p wrt p?
9*p**2 - 4
Let f(y) be the first derivative of y**4/2 + 2*y**3 - 13*y**2 - 102. What is the second derivative of f(u) wrt u?
12*u + 12
Let h(j) = j - 2*j + 2*j. Let k be -9 - (-3 + (0 - 0)). Let d(g) = -3*g**2 + 3*g. Let n(v) = k*h(v) + d(v). Find the second derivative of n(o) wrt o.
-6
Let m be 3*((-112)/(-105) - 4/10). What is the first derivative of 539*j**4 - 527*j**4 + 0 - m wrt j?
48*j**3
Let j(b) = 24*b + 44. Let q(g) = -2*g - 1. Let o(l) = -j(l) - 6*q(l). Differentiate o(t) wrt t.
-12
Suppose u + 2 = t, -t - t - 5*u = -4. What is the third derivative of -r + r + 0*r + 2*r**t - r**3 wrt r?
-6
Suppose 5*v - w - 38 = 2*w, 0 = -5*v + w + 36. Find the first derivative of -3 + 15*f - v + 3 wrt f.
15
Let n(j) = -73*j + 10. Let v be (-1 + 0)*36/12. Let p be n(v). What is the second derivative of 7*r - 229 + p - r**2 wrt r?
-2
What is the second derivative of 134*k**2 + 10 + 25 + 4*k + 122*k**2 + 2*k - 2*k wrt k?
512
Let l(r) = 127*r**3 - 12*r**2 - 14*r - 4. Let t(g) = 128*g**3 - 10*g**2 - 15*g - 3. Let z(j) = -3*l(j) + 4*t(j). What is the third derivative of z(w) wrt w?
786
Let a(z) = -z**2 + 19*z + 46. Let i be a(21). Differentiate -2 + 13*u + 3 - 4*u + i with respect to u.
9
Differentiate 450 + 25*h + 372*h + 16*h with respect to h.
413
Let i(o) be the third derivative of -13*o**6/30 - 7*o**5/6 - 41*o**2 + 1. What is the third derivative of i(t) wrt t?
-312
Suppose 53*q - 58*q = -25. Let t(m) be the second derivative of 0 - 2*m**2 - 3*m + 0*m**4 - 3/10*m**q + 0*m**3. What is the first derivative of t(r) wrt r?
-18*r**2
Find the first derivative of 6 + 28*w**2 + 124*w**2 - w - 14 - 185 wrt w.
304*w - 1
Let x(b) be the second derivative of -431*b**5/20 - 29*b**4/6 - b**3/6 + 3*b + 6. Find the third derivative of x(d) wrt d.
-2586
Suppose 2*f - 2*c - 4 = 2*c, 0 = -2*f + 3*c + 5. What is the derivative of 2 - 12*h**2 - 1 - 1 + f wrt h?
-24*h
Let n(c) = -c**4 + c**3 - c**2 + c - 1. Let o(x) = -4*x**2 - 5 + 6*x - 2*x + 4*x**3 - 7*x**4 + 5 + 12. Let u(q) = 4*n(q) - o(q). Differentiate u(t) wrt t.
12*t**3
Let y(w) be the third derivative of 131*w**5/30 - 17*w**3/2 - 10*w**2 + 7*w. Find the first derivative of y(l) wrt l.
524*l
Suppose 2*q + 17 = 15. Let u = 0 - q. Differentiate u + 4*y + 1 - 7*y with respect to y.
-3
Let l(j) = -7*j**3 + 229*j**2 + 763. Let x(q) = -2*q**3 + 2*q**2 + 1. Let g(a) = -l(a) + 3*x(a). What is the first derivative of g(r) wrt r?
3*r**2 - 446*r
Let t(p) be the first derivative of p**9/252 - p**5/15 - 10*p**3/3 - 10. Let g(q) be the third derivative of t(q). Find the second derivative of g(b) wrt b.
240*b**3
Find the third derivative of 8*r**5 + 7*r**5 + 8*r**5 + r**5 + 46625*r**3 - 348*r**2 - 46623*r**3 wrt r.
1440*r**2 + 12
Let z(a) be the second derivative of a**9/126 - a**5/15 + 5*a**3/3 + 24*a. Let m(f) be the second derivative of z(f). Find the second derivative of m(v) wrt v.
480*v**3
Let i be 19/2 - 1/2. Suppose i*o = 7*o. What is the second derivative of -2*a + o*a + 5*a + 0*a + a**5 wrt a?
20*a**3
Let k(z) = 7*z**3 + 12*z**2 + 6*z - 138. Let o(q) = -q**2 - q - 2. Let u(n) = k(n) + 6*o(n). Differentiate u(b) with respect to b.
21*b**2 + 12*b
What is the third derivative of 739*m**2 + 1110*m**4 + 61*m**5 - 555*m**4 - 560*m**4 wrt m?
3660*m**2 - 120*m
Let d(x) = 83*x + 96. Let n(z) = -82*z - 97. Let u(v) = -2*d(v) - 3*n(v). Differentiate u(q) with respect to q.
80
Let a be (-1 + -1)*(2 - 1). Let j = a - -5. What is the third derivative of -n**2 - 3*n**5 - j*n + 3*n + 3*n**2 wrt n?
-180*n**2
Let s(b) = -24*b**4 - 4*b**3 + 4*b - 76. Let f(o) = o**3 - o. Let v(h) = 4*f(h) + s(h). Differentiate v(u) wrt u.
-96*u**3
Suppose -4*g + 12 = -6*g. Let l be 2/g - (-310)/30. What is the first derivative of -12 - l + 23 + 6*m**2 - m**2 wrt m?
10*m
Let r(b) = -2*b - 8. Let z be r(-7). Let d(q) = q - 3. Let h be d(z). What is the second derivative of -6*a**3 - 2*a**h - 7*a + 3*a**3 + 0*a wrt a?
-30*a
Let k(z) = 2*z**2 + z - 6. Let f be k(-3). Differentiate -12*b**4 - f + 6 + 5 with respect to b.
-48*b**3
Suppose 6*q = 4*q + 4. Find the first derivative of 10 - 9 + 3*c**q + 4*c**2 wrt c.
14*c
Let t(a) = -6*a**2 - 7*a - 5. Let z(s) = 12 - 6*s - 2*s**2 - s**2 - 2*s**2 - 18. Let r(c) = 6*t(c) - 5*z(c). What is the second derivative of r(q) wrt q?
-22
Let b(p) be the second derivative of 0*p**2 - 1/8*p**4 - 1/120*p**5 + 1/3*p**3 + 0 + 4*p. Let r(x) be the second derivative of b(x). Differentiate r(f) wrt f.
-1
Let x be 86/18 + (-14)/(-63). Find the second derivative of -4*z**2 + z - x*z + 8*z**2 wrt z.
8
Suppose 6*a = 2*a + 3*v + 88, -5*a + 2*v + 110 = 0. Find the third derivative of -6*z**4 - 18*z**2 + 11*z**2 - a*z**4 wrt z.
-672*z
Let w(o) be the first derivative of 0*o + 0*o**4 + 0*o**5 + 0*o**3 - 15/2*o**2 + 2/3*o**6 - 14. Find the second derivative of w(f) wrt f.
80*f**3
Suppose 2*q + q = -2*z + 2, -8 = q + 5*z. Find the third derivative of -13*d**6 - 9*d**2 + 31*d**6 + d**q wrt d.
2160*d**3
Let u(t) = -2*t - 10. Let l be u(-6). Let z = 22 - 18. What is the derivative of -3*s**l + 52 - 56 + z*s**2 wrt s?
2*s
What is the third derivative of -413*l**5 - 436*l**5 + 51*l**2 - 158*l**2 + 831*l**5 wrt l?
-1080*l**2
Let s(p) be the second derivative of 5*p + 45/56*p**8 - 23/12*p**4 + 0*p**5 + 0*p**3 + 0 + 0*p**2 + 0*p**7 + 0*p**6. What is | {
"pile_set_name": "DM Mathematics"
} |
+ 12 for r.
-3
Solve -4*w + 9*w - 6 = 4*r, -r = -5*w - 6 for r.
-4
Solve 3*x = -4*m + 10, m - 3*x + 5 = -0*x for m.
1
Solve -2*g + 5*t = 9, -22 + 9 = 4*g - 5*t for g.
-2
Solve 6 = 5*s + 3*f - 24, -s - f = -8 for s.
3
Solve -n + 12*r - 18 = 7*r, -4*n = 4*r for n.
-3
Solve -2*u - 64*t = -63*t + 4, 0 = u - 3*t + 9 for u.
-3
Solve 5*w = 4*z - 17, 5*z = -3*w - 23 - 2 for z.
-2
Solve 0 = -5*i + 4*l + 22, -5*i - l - 9 = -8*i for i.
2
Solve 3*j = -2*r + 13, 5 = -r - 4*r for j.
5
Solve 3*i - 5*g = 29, -3*i - 10*g = -12*g - 17 for i.
3
Solve 2*w + 2*l = 4, -w + 3*l = -3*w + 4 for w.
2
Solve g + 5*j + 10 = -0*g, g + 4 = j for g.
-5
Solve -i - 10 = -6*i - 5*o, 0 = -2*i - o + 7 for i.
5
Solve 18 = -3*i + 5*o, 4*o - 7 = i + 2*o for i.
-1
Solve -4*p = -l + 12, -37*p + 4*l = -38*p + 14 for p.
-2
Solve 26*v - 6 = 24*v - 3*n, 3*v - 9 = -3*n for v.
3
Solve -4*l + 12 = 3*c + 1, 0 = 3*l + 3 for c.
5
Solve 0 = -2*c + 4*u + 6, 0*c - 4*c = -5*u - 6 for c.
-1
Solve 13*c = -5*k + 15*c - 15, 0 = -5*c for k.
-3
Solve -s - 2*s + 8 = 4*r, 2*s = -r + 2 for r.
2
Solve v = 4*j - 14, 4 = 2*j - v - 4 for j.
3
Solve -7*c + 8*c + 5*r = -7, 4*c + r = 10 for c.
3
Solve -5*c + 34 = -3*u + 15, -2*c + 12 = u for u.
2
Solve 5*x + 13*n + 5 = 8*n, x + 5*n = -9 for x.
1
Solve 4*p - 3*k - 5 + 17 = 0, 0 = 2*k for p.
-3
Solve 4*g = 3*y + 20, 2*g - 5*y = -9*y + 10 for g.
5
Solve -32 = 3*d - 4*g, -4*g = 2*d + 2*d - 4 for d.
-4
Solve -39*f + 42*f + 11 = 5*w, 0 = -4*f + 3*w for f.
3
Solve -23 = -2*c + 22*b - 17*b, -4*c = -2*b - 22 for c.
4
Solve -k - w = 0, -37*k = -41*k + w - 10 for k.
-2
Solve 4*x + 6*d = 3*d + 1, d = -4*x - 5 for x.
-2
Solve -2 = 5*j - 6*y + 4*y, 12 = -4*j - y for j.
-2
Solve 2*o - 5*c - 30 = -3*o, -5*o + 3*c = -24 for o.
3
Solve 3*a = -5*j + 48, a - 51*j - 46 = -56*j for a.
1
Solve -2*b + 0*b + 5*s = 28, -4*s = 3*b - 4 for b.
-4
Solve 2*k + 18*t + 6 = 21*t, 0 = 5*k - 5*t + 5 for k.
3
Solve 3*f = -5*q, 2*f - 5*q + 22 = -3 for f.
-5
Solve i + 4*h = -20, -2*i - 5*h + 3 = 28 for i.
0
Solve -6*s + 23 = w, 5*w - 31*s = -32*s + 28 for w.
5
Solve -2*o - b - 5 = 0, -26*o + 22*o + b + 5 = 0 for o.
0
Solve 0 = 4*u - 4, 4*w = -w + 3*u - 18 for w.
-3
Solve 0 = 2*j + 5*r + 6, -3*j + 5*r = -j + 6 for j.
-3
Solve -15*y = 4*v - 10*y, 0 = v + 3*y for v.
0
Solve -4 = -3*x + 4*x, -5*m = -4*x - 1 for m.
-3
Solve -3*r + 5*f = -5, -15*r = -20*r + 3*f + 3 for r.
0
Solve -10*z + 7*z + k - 1 = 0, 0 = z - 3*k - 13 for z.
-2
Solve 2*j + 1 = u, -13*j - 4*u + 12 = -17*j for j.
2
Solve -x + 2 = -3*t + 3, t = 5*x - 9 for t.
1
Solve -4*t - 112 = 4*n - 88, -2*n = -t for n.
-2
Solve -4*b - 3*r = 9, -5*r - 15 = 58*b - 55*b for b.
0
Solve -4*p = 2*c + 26, -3*p + 5*c + 6 = -7 for p.
-4
Solve -5*v + 5*n = 25, -7*n = 5*v - 9*n + 19 for v.
-3
Solve -4*u + 4*j - 7 + 19 = 0, 2*u = -j + 9 for u.
4
Solve -4*w = y - 2, -4*y - 2*w = -3*y for y.
-2
Solve -5*i - k - 19 = 0, -4*i + 0*i - 2*k = 14 for i.
-4
Solve 5*r + 3*h - 5*h = -18, -4*h = -2*r - 20 for r.
-2
Solve 0 = -o + 2*w - 4, -3*o + 4*w = 2*o + 14 for o.
-2
Solve -3*u - 3*c = 24, 5*u + 88 - 66 = c for u.
-5
Solve -n - 2*n - 12 = 0, -3*h - 4*n = 25 for h.
-3
Solve 0 = -c + 5*g - 3*g + 9, 2*c + 5*g = -18 for c.
1
Solve -7*h + 4*h = -p - 9, p + 5*h = 7 for p.
-3
Solve 3*i = 6, -2*y + 2 - 12 = 3*i for y.
-8
Solve 10 = -0*m - 4*m + 2*n, 3*m + 5*n = -40 for m.
-5
Solve 3*r = -3*c - 12, 3*r = 2*c + c - 18 for r.
-5
Solve 0 = -3*z - 4*a - 28, 5*a - 7 + 43 = -4*z for z.
-4
Solve -19 = -5*f - 2*k, -55*f - 3*k = -57*f for f.
3
Solve 0 = -5*y + 4*v, 5*y - 10*v + 25 = -11*v for y.
-4
Solve m = -3*h + 2, h = 6*h - 10 for m.
-4
Solve -20 = -4*q, 4*m - 4*q + 6 + 22 = 0 for m.
-2
Solve 0*d = r - d, 0 = 5*r + d + 24 for r.
-4
Solve 4*s = 4*b - 2*b + 28, 5*b + 20 = 0 for s.
5
Solve j = -2*j + 3*g - 6, -2*j = -g for j.
2
Solve 0 = -4*t - 3*x - 32, 5*t + 28 - 7 = x for t.
-5
Solve 10 = 12*f - 17*f + 3*y, 0 = -2*f + 2*y for f.
-5
Solve -5*z + 4*c - 28 = 0, 0*c - 3*c + 26 = -5*z for z.
-4
Solve 2*k + 6*p + 18 = 2*p, 0 = 3*k + p + 7 for k.
-1
Solve -x = -3*w - 0*w - 5, -4*x - 5*w + 20 = 0 for x.
5
Solve -t + 5 = 4*z - 15, -5*t = 3*z - 15 for t.
0
Solve -2 = -2*h, -4*h = 5*m - 2*m - 7 for m.
1
Solve -5*l = 3*i + 37, -9 + 0 = l + i for l.
-5
Solve 5*m - 18 = 2*h, 5*h - 8 + 23 = 5*m for m.
4
Solve 9 - 4 = 4*q + n, -q + 4*n - 3 = 0 for q.
1
Solve 3*a - 4*l + 25 = -2*a, -3*l = 0 for a.
-5
Solve -3*d = 2*f - 10, -4*d = -0*f + 3*f - 14 for f.
2
Solve 2*x + 4*n + 14 = 0, -4*x + 0*x = -5*n - 11 for x.
-1
Solve 1 + 1 = 2*f + d, 5*d = 2*f - 2 for f.
1
Solve -5*y + 15 = 0, 4*y + 8 = -5*b + 5*y for b.
-1
Solve -37 = -4*h - 3*p, -3*h - 4*p - 372 = -412 for h.
4
Solve t + 9 = -3*t + 5*z, 3 = -3*t + 3*z for t.
4
Solve -4*v = r + 9, 8*r - 4*r + 10 = -3*v for v.
-2
Solve -4*s + 28 = 4*l, -9*l + 7*l - 4*s + 18 = 0 for l.
5
Solve 5*b - 10*n = -11*n + 12, -3*b + 3 = 2*n for b.
3
Solve 3*g - 15 = -3*i, -g + 20 - 7 = 5*i for g.
3
Solve 0 = -3*k - 2*x - x - 9, -3*x - 2 = -4*k for k.
-1
Solve -14*f + 5*y = -9*f + 30, y - 11 = 2*f for f.
-5
Solve 2*f - 18 = 4*v, -36*f + 37*f = -1 for v.
-5
Solve -n + 19 = -3*g, -2*n + 3*g + 6 = -17 for n.
4
Solve -5*z + 11 = -2*n, -22 + 8 = -4*z - n for z.
3
Solve f + 294*g = 299*g + 6, -5 = -2*f + 3*g for f.
1
Solve -2*m - 812 = 4*u - 804, 3*u = -m - 6 for u.
-2
Solve -5*m = -0*m + 4*u - 25, 3*m - 2*u = 15 for m.
5
Solve 0*k + 5*h - 10 = -2*k, 3*h - 37 = 5*k for k.
-5
Solve -30 = 2*g - 4*a, 2*g = 5*a - 58 + 23 for g.
-5
Solve 8*m - 8 = -4*b, 9*b = 10*b + m for b.
-2
Solve -2*t + 3 = -4*h + 1, 0 = -3*h - 5*t + 31 for h.
2
Solve -6 = -2*g - 5*f, 9*g - 6*g + 14 = 4*f for g.
-2
Solve 3*r - 5*y = -17, -2*r - y + 13 = -5*r for r.
-4
Solve -5*r + 6*m - 5*m = 10, -r - 3*m - 18 = 0 for r.
-3
Solve -w - 1 = -2*u, 0 = 3*w - 6*w - 2*u - 11 for w.
-3
Solve 13 + 12 = -2*k - 3*p, -3*p = -5*k - 10 for k.
-5
Solve -4*p + 0*p = 2*t + 16, -3*p = 5*t + 12 for p.
-4
Solve 0 = 3*d + 9*y + 12, 57*d - 3*y = 54*d + 12 for d.
2
Solve 2*x - 4*x + 24 = 4*d, d = 5*x - 5 for d.
5
Solve -2*z - l + 4 = 0, 3*z - 3*l - 9 = 6 for z.
3
Solve 0 = h + h + 4*l, 3*h + 5*l - 1 = 0 for h.
2
Solve -5*y + 5*l - 26 = 9*l, 0 = -y + 3*l + 10 for y.
-2
Solve -z + 4*c - 2 = 0, 6 - 4 = -z + 3*c for z.
-2
Solve -2*z + 21 = -5*l, z + 12 = 2*l + 20 for l.
-5
Solve 0 = 3*i - 5*n - 20, 4*i - 6*i = -3*n - 12 for i.
0
Solve -a + 9 = 9*j - 10*j, 4*j = -a - 16 for j.
-5
Solve -5*i + 5*o = 45, -3*o - 13 = 107*i - 102*i for i.
-5
Solve -2*x = 4*y + 5 + 1, -4*y = 3*x + 5 for x.
1
Solve v - 122*n + 14 = -127*n, 6 = -3*v - 3*n for v.
1
Solve 2*s + 2*j + 4 = 0, -2*s - 5*j = -3*s - 14 for s.
-4
Solve -3 = 5*z + 4*k - 0*k, -z - 4*k - 7 = 0 for z.
1
Solve 5*h + 4*l - 13 = 0, 0 = -36*h + 34*h + 2*l - 20 for h.
-3
Solve -8*q + 3*q + d + 14 = 0, -3*d + 26 = 2*q for q.
4
Solve 4*y - 10 = -2*s + y, s = y for s.
2
Solve 0 = 4*r + 4*f - 28, 2 + 1 = -r + 4*f for r.
5
Solve 3*d - 5*p + 9 = 2*d, 3*p - 19 = 4*d for d.
-4
Solve -13*v - 5 = -15*v + t, -5*v + 3*t = -15 for v.
0
Solve -3*j + 2*p = 2 + 1, 3*p = 2*j + 7 for j.
1
Solve -4*y + 13 = 4*o - 3*o, -y + 4*o - 18 = 0 for y.
2
Solve -5*s + 9*b - 35 = 5*b, s - 12 = -3*b for s.
-3
Solve 4*c + 1 = -4*q + 3*q, 5*q - 19 = 4*c for q.
3
Solve 2*c - g + 4 = -3*c, -6*c - g + 15 = 0 for c.
1
Solve -186*g = -3*l - 183*g - 9, 0 = 4*l + 3*g - 2 for l.
-1
Solve -5*s + 15 = -2*t + 10, -2*s + 2 = 2*t for t.
0
Solve -28*w + 27*w + 13 = 3*m, -2*w - 4*m + 18 = 0 for w.
1
Solve 0 = -4*q - 4*l + 8 - 0, -l = -5*q - 20 for q.
-3
Solve -5*n + 5 = 5*d, 11 = 2*d - 6*n + 5*n for d.
4
Solve -r = -i + 8, 3*r - 20*i + 25*i - 8 = 0 for r.
-4
Solve -3*i + i = -2, 5*i - 11 = 2*q for q.
-3
Solve -2*g - 25 = -5*u, -u - 194 = 4*g - 199 for g.
0
Solve -5*z + 12 = 2*k - 16, -2*z = -4*k + 8 for z.
4
Solve k = 5*o - 1, k + o + 0 = 5 for k.
4
Solve -13*b = -14*b - 3, -3*j - 12 = 5*b for j.
1
Solve 7*j = 2*j - 2*l + 7, 0 = 4*j - 2*l - 2 for j.
1
Solve -6*b + 10*b = -5*z + 8, -4*z = 5*b - 1 for z.
4
Solve -5*l + 5*j - 22 = -7, -3*l - 9 = 4*j for l.
-3
Solve -l - 5*s + 40 = -6*l, 0 = -l - 5*s + 16 for l.
-4
Solve 3*t + 0*t + 4*y = 3, -2*t - y + 2 = 0 for t.
1
Solve -4 = -4*l - 4*c, l + 0*c = -2*c + 1 for l.
1
Solve 2*l + 5*s - 7 = 0, 0 = 5*l - s - 4 for l.
1
Solve 4*m + 24 = 5*w, -m - 6 = -5*w + 15 for m.
-1
Solve -5*b - t = 3*t - 14, -2*b - 2 | {
"pile_set_name": "DM Mathematics"
} |
+ 5)*5.
200*sqrt(5) + 595
Simplify 1 + ((sqrt(432) - 4*(sqrt(432)*-1 - sqrt(432) - sqrt(432)))**2 - (sqrt(432) + 1*sqrt(432))**2*-5)*-1*4.
-326591
Simplify ((-2*-6*sqrt(1200) - sqrt(1200))/(6*-2*sqrt(6) + sqrt(12)/sqrt(2)*5) + 3)*-6.
-18 + 660*sqrt(2)/7
Simplify ((sqrt(15) + 5*sqrt(1815) + -1*sqrt(540))/((sqrt(75) + sqrt(75) + sqrt(75)*-2*-4)*5))**2.
1/5
Simplify -5*(sqrt(171)*1 + 3 + sqrt(171) + 2 + 0 + sqrt(171)*1*4 + 6*(sqrt(171) + 3))**2.
-125765 - 8280*sqrt(19)
Simplify ((sqrt(390) - 5*(sqrt(390)*1 + sqrt(390) + sqrt(390)))/((1*sqrt(120))/sqrt(12)))/(sqrt(243)*1 + 6*sqrt(12)).
-2*sqrt(13)/3
Simplify -4*(5*(2 + (sqrt(605) - -1*sqrt(605))**2 + -4 + sqrt(605)) - (1 + -1*sqrt(605) + sqrt(605) + (sqrt(605) - 6*(sqrt(605)*1)**2) + sqrt(605))).
-62876 - 132*sqrt(5)
Simplify ((1*(-4*sqrt(720)*2 + sqrt(720) - sqrt(720))*4 + (sqrt(720) - (sqrt(720)*2 + 5) - (5 + -3*sqrt(720))))*1)**2.
7200*sqrt(5) + 648100
Simplify ((sqrt(240) - ((3*1*sqrt(240) - sqrt(240) - sqrt(240) - sqrt(240) - sqrt(240)) + sqrt(240)))*-6)/(-4*-1*sqrt(5) + (-1*sqrt(5)*1 - sqrt(5))).
-12*sqrt(3)
Simplify (-1 + (5*(sqrt(2) + sqrt(32) + sqrt(2)) - (sqrt(2) - -4*-2*sqrt(2))))**2 - (4*(sqrt(2) + 0) + sqrt(2)*-4*3).
-66*sqrt(2) + 2739
Simplify (4*sqrt(200) + sqrt(4)/sqrt(2) + 3)*-5 + 1 + ((sqrt(132)*-1)/sqrt(6) + sqrt(22))/((2*sqrt(132))/sqrt(12)).
-205*sqrt(2) - 14
Simplify (-1*sqrt(99)*1*-1*1)/(-3*sqrt(1089) + -5*sqrt(36)).
-sqrt(11)/43
Simplify (sqrt(98) + sqrt(98)*3*-2 + (sqrt(98) - (sqrt(98) + sqrt(98) + -1 + -3) - sqrt(98)) + 4)**2 + 4 + 2 + ((sqrt(98)*2 + 4)*-4)**2.
1008*sqrt(2) + 11400
Simplify (sqrt(1260)*-3)/(2*sqrt(245)) + (sqrt(49) + 2*sqrt(1225) + sqrt(1225))/(sqrt(1008)*-2 - sqrt(1008) - sqrt(1008)) + 1.
-34*sqrt(7)/21 + 1
Simplify (2*(sqrt(108) + (sqrt(108) + (sqrt(108) - (sqrt(108) - 1*sqrt(108))))*-2)*-5 - ((sqrt(108) + (-1*sqrt(108) + 1 - sqrt(108)))*-3 + -2))**2.
1620*sqrt(3) + 78757
Simplify (0 + -5 + 5*(2*sqrt(3087) + sqrt(3087)) + (sqrt(3087) + (sqrt(3087)*-1 - sqrt(3087)))*-1 + 0 + 0 + sqrt(3087) + -4)**2.
-6426*sqrt(7) + 892224
Simplify (-2*((2 + (sqrt(300) + -2 - sqrt(300)) + sqrt(300) - sqrt(300)) + -2*-3*sqrt(300) - (3*sqrt(300)*6 - (2 + sqrt(300) + -3))))**2.
880*sqrt(3) + 145204
Simplify ((1*(sqrt(154) - (sqrt(154) - -4*sqrt(154))))/sqrt(7)*-6)/((4*sqrt(66))/sqrt(6) + sqrt(1584) + -5*sqrt(1584)).
-6*sqrt(2)/11
Simplify ((-2*(2 + sqrt(325)) + (sqrt(325) - (sqrt(325) + -1*sqrt(325) + sqrt(325))*-1) + 2)*-6 + 0)**2.
144
Simplify ((sqrt(720) + -3)*2)**2 - (sqrt(720)*-1*5 + sqrt(720)) - 5*(1 + (sqrt(720) + -1 + sqrt(720))**2*1).
-11494
Simplify (sqrt(1694) + sqrt(1694)*-1*-3 - sqrt(1694) - -3*(sqrt(1694) + (sqrt(1694)*1 - sqrt(1694))))/(-1*(6*sqrt(224))/sqrt(8)).
-11*sqrt(2)/2
Simplify ((-1*sqrt(343) + sqrt(343) + 0 - sqrt(343)) + -6*3*sqrt(343) + (sqrt(1512)*-4 + sqrt(42))/(sqrt(42)/(sqrt(49)/sqrt(7)) + sqrt(6)))**2.
584647/4
Simplify -2*4*(sqrt(114) + (sqrt(114) + sqrt(114) + sqrt(114)*-2)*1)/(2*sqrt(294) - sqrt(6))*1.
-8*sqrt(19)/13
Simplify ((sqrt(121)/sqrt(176) + -2 + sqrt(11) + -4 - (sqrt(11) + (sqrt(1100) - (1 + sqrt(1100))) + sqrt(1100) - sqrt(132)/(sqrt(12) + sqrt(588))))*5)**2.
9625*sqrt(11)/4 + 1670475/64
Simplify (-3*(sqrt(4000) - (sqrt(4000) + sqrt(4000)*5*6 + sqrt(4000))))/(sqrt(8) - sqrt(128)*-5 - sqrt(8) - (sqrt(8) - sqrt(8)*-3*2)).
930*sqrt(5)/13
Simplify ((-2*sqrt(64) + sqrt(16))/sqrt(4))/(sqrt(16)/(sqrt(24)/sqrt(3)*4)).
-12*sqrt(2)
Simplify -6*6*(5 + sqrt(252)*5 + sqrt(252) + (3*(sqrt(252) + 4 - sqrt(252) - sqrt(252)))**2)*1.
-87012 + 14256*sqrt(7)
Simplify ((sqrt(900) - 2*sqrt(900) - sqrt(900)) + sqrt(900) + sqrt(900) + sqrt(900) - (sqrt(36) - -5*sqrt(900)))/((sqrt(768) + 6*(sqrt(768) + -2*sqrt(768)))*2).
21*sqrt(3)/80
Simplify 3*5*(-1 + sqrt(448) + 1 + -5 + ((2*(-1 + sqrt(448) + sqrt(448)))**2 - (-3 + sqrt(448) + sqrt(448)*2)**2))*-2.
-93780 - 720*sqrt(7)
Simplify (3*-2*(2*(sqrt(1088) + 1 + sqrt(1088)) - (-3 + -1 + sqrt(1088))))**2*3*2.
62208*sqrt(17) + 2122848
Simplify -4*((5 + sqrt(272))*-5 + -5 + -5 + sqrt(272)*3*-4 + 0)**2.
-319332 - 19040*sqrt(17)
Simplify 3 + ((1*sqrt(11) + sqrt(11) + 2)**2 - -1*(sqrt(11)*-2)**2) - 1*(0 + sqrt(11) + 4 + sqrt(99)/(-1*sqrt(9))).
8*sqrt(11) + 91
Simplify 5*(5*(2 + 3*((2 + sqrt(500))*-3)**2) + -1).
27000*sqrt(5) + 340245
Simplify (sqrt(114)/(sqrt(6)*3) + sqrt(19) + sqrt(171)*-2 + (-5 + 1 + sqrt(1539))*6 + -2)**2*-4.
-1689040/9 + 30784*sqrt(19)/3
Simplify sqrt(297)/(sqrt(11)*1) + (sqrt(486)/sqrt(2))**2 + (sqrt(6) + sqrt(6)*2*4)/sqrt(2)*-2.
-15*sqrt(3) + 243
Simplify (-1*sqrt(204))/sqrt(12) + 4 + -1 - (sqrt(187)*-2*-4)/(sqrt(11) - sqrt(275)*-1).
-7*sqrt(17)/3 + 3
Simplify ((sqrt(441)/(-2*sqrt(700))*6 + 4)*-3)**2.
-324*sqrt(7)/5 + 19503/100
Simplify (3 + -2*(-5 + sqrt(343) + (0 + sqrt(343))**2 + sqrt(343) + sqrt(343))*-3)*3.
378*sqrt(7) + 6093
Simplify (3*(-1*sqrt(468)*4*4 - (2*(2*sqrt(2548) + sqrt(2548)) + sqrt(2548) + (0 + sqrt(2548))*-5)))**2.
1798992
Simplify (((sqrt(114)*-1*-4)/(sqrt(162) + sqrt(162) + sqrt(162)*-1 + sqrt(162) - sqrt(162)))/((-6*sqrt(147)*2 + sqrt(147))*1))**2.
304/480249
Simplify (-6*sqrt(170)*1)/(2*sqrt(360))*3 + (sqrt(2057) + (sqrt(2057) - (0 + sqrt(2057) + sqrt(2057))))**2*-5*-2*-5.
-3*sqrt(17)/2
Simplify (sqrt(2940)*-1)/(-5*sqrt(108) + sqrt(12)) - ((sqrt(80) - (-1 + sqrt(720))**2) + ((sqrt(90)/sqrt(3)*3)/sqrt(6))**2).
-55*sqrt(5)/2 + 676
Simplify -2 + (5*6*(sqrt(1053) + (sqrt(1053)*-2 - sqrt(1053)) + sqrt(1053) + -5 + sqrt(1053)))**2 + 0 + -1.
22497
Simplify (-4*(6*(sqrt(1573) - 2*sqrt(1573)) + sqrt(78)/(sqrt(216) + sqrt(216)*-1 - sqrt(6)) + 2))**2.
-4288*sqrt(13) + 933776
Simplify (-2*(sqrt(171)*2 + 5) + (sqrt(19) - sqrt(684)) + 3 + (sqrt(228)*-4)/sqrt(12))**2.
294*sqrt(19) + 8428
Simplify (-1*((sqrt(612) - (3*sqrt(612) + 4))*-2 + -6*(-4 + -3*sqrt(612))) + -1)**2.
8712*sqrt(17) + 297297
Simplify (5*2*sqrt(700)*-1 + 1 - ((sqrt(700) + 0)*-1 + sqrt(700) + (sqrt(700) - (-2*sqrt(700) + -4))))**2.
780*sqrt(7) + 118309
Simplify -4 + (sqrt(72) - (sqrt(72)*-1 + -1) - -6*(0 + sqrt(72))) - 5*(-4*4*(-1 + sqrt(2)))**2*1.
-3843 + 2608*sqrt(2)
Simplify -2 + -5*((sqrt(8)*-6 + -2)**2 + 3 + (-1 + (2 + sqrt(8)/sqrt(4) + sqrt(2))**2)*-3).
-1312 - 120*sqrt(2)
Simplify ((2 + sqrt(17))*2 + (2 + sqrt(17) + -2 - sqrt(17)) + 5)**2 + ((1*(sqrt(204) + 1*sqrt(204)))/sqrt(12) - (sqrt(2057) + -1 + 0))**2.
18*sqrt(17) + 1527
Simplify 5*1*(-5 + ((-3*sqrt(12))/sqrt(6))**2 - ((sqrt(2) + -2 + sqrt(2))*4 + sqrt(2) + (-2*sqrt(288) + sqrt(288) - sqrt(288)))).
105 + 75*sqrt(2)
Simplify ((-4 + -4*(sqrt(162) + (sqrt(162) - sqrt(162)*-4)) + (sqrt(162) - 3*(0 + sqrt(162) + sqrt(162))))*2)**2*5.
41760*sqrt(2) + 2725160
Simplify (-3 + -3*(-2 + (-2*(1 + sqrt(684)) + (sqrt(684) + 0)*-1)*5*2))**2.
68040*sqrt(19) + 5544369
Simplify (sqrt(44)/sqrt(32))/(sqrt(1100) - (sqrt(1100) + 2*sqrt(1100))) + -2 + ((sqrt(8)*-1)/sqrt(4) - (1 + sqrt(72))).
-561*sqrt(2)/80 - 3
Simplify -6*(-3 + (2*(sqrt(1008) - sqrt(28)))/(4*(sqrt(4) + sqrt(24)/sqrt(6)))*5)*3.
-225*sqrt(7)/2 + 54
Simplify (-4*(-3*sqrt(528)*-1)/(1*sqrt(66)/sqrt(6) + sqrt(11) + sqrt(11)))**2*-4.
-3072
Simplify (3*(-2*-2*sqrt(204)*-1)/((2*sqrt(144))/sqrt(12)*-1) + -2)**2.
-24*sqrt(17) + 616
Simplify 4*((sqrt(2448) + 1 + -1 - sqrt(2448))**2*-4 + (2 + 2*sqrt(1088) + sqrt(1088) - (sqrt(1088)*-2 + 4)**2)).
-17464 + 608*sqrt(17)
Simplify (((-2*sqrt(65) + sqrt(65))*-3*3)/((sqrt(80)*1 - sqrt(5))*-5))**2 + -1.
92/25
Simplify (-3*sqrt(34)/sqrt(2) - 1*-2*sqrt(17) - (sqrt(1700) - ((-1*sqrt(1700))**2 + 4))) + 3*(sqrt(612) + 1*sqrt(612) + -3)*-4.
-155*sqrt(17) + 1740
Simplify (-3*sqrt(20)*-1 - sqrt(20) - (sqrt(20) - sqrt(120)/sqrt(6))*3)/(-5*-5*sqrt(490)*-2).
-sqrt(2)/175
Simplify ((-4*((sqrt(171)*1 + sqrt(171) - sqrt(171)) + 2) - (2 + -3 + sqrt(76)/sqrt(4))*-4)*-3)**2.
1728*sqrt(19) + 12240
Simplify 5 + ((3 + 0 + sqrt(245) - (sqrt(245) - (sqrt(245)*1 + 1 + sqrt(245)))) + -4 + sqrt(245) + 1 + 5)**2.
252*sqrt(5) + 2246
Simplify (4*sqrt(66)*-2 + sqrt(66)*-2*-1)/((-1*sqrt(384) + sqrt(384))*-5 - (sqrt(384) + 2*sqrt(384))*-3).
-sqrt(11)/12
Simplify (2*(4 + -1*(sqrt(2816)*4 - sqrt(2816)) + (sqrt(2816) + (sqrt(2816) - (sqrt(2816) + 2)))*5))**2.
-1536*sqrt(11) + 45200
Simplify 2 + -1*(sqrt(432) - (1 + sqrt(432) + sqrt(432)))**2 + (sqrt(81)/sqrt(12) + sqrt(108)/sqrt(64))**2.
-6653/16 - 24*sqrt(3)
| {
"pile_set_name": "DM Mathematics"
} |
Solve q(s) = 0.
-3, 2
Suppose -18*u + 86 = 14. Let t(z) be the first derivative of 16/9*z**3 + 0*z + 0*z**2 + 0*z**u - 2/9*z**6 + 17 - 4/5*z**5. Factor t(g).
-4*g**2*(g - 1)*(g + 2)**2/3
Let v(a) be the first derivative of -a**4/6 - 4*a**3/3 - 3*a**2 + 118*a + 124. Let w(d) be the first derivative of v(d). Factor w(p).
-2*(p + 1)*(p + 3)
Suppose 2*j = d + 11 + 66, -2*d - 10 = 0. Factor 4*m**2 + j*m + m**2 - 16*m.
5*m*(m + 4)
Let o(n) be the third derivative of 1/20*n**4 + 18*n**2 + 0*n + 0*n**7 + 1/840*n**8 - 1/75*n**6 + 1/75*n**5 - 2/15*n**3 - 2. Let o(j) = 0. Calculate j.
-2, -1, 1
Let u(g) be the third derivative of 4*g + 0*g**3 + 0 - 8/27*g**4 - 13*g**2 - 2/945*g**7 + 0*g**6 + 4/45*g**5. Solve u(n) = 0 for n.
-4, 0, 2
Factor 56*i + 3367*i**2 - 3972*i**2 + 224*i - 125 + 270*i.
-5*(11*i - 5)**2
Let -5*c**4 + 0*c**4 - 43*c**3 + 3*c**4 - 23*c + 51*c**3 + 22*c**2 - 37*c = 0. What is c?
-3, 0, 2, 5
Let -2/11*f**3 + 306/11*f + 234/11 + 70/11*f**2 = 0. Calculate f.
-3, -1, 39
Let s(b) be the second derivative of b**6/3 - 3*b**5/10 - b**4/12 + 39*b. Let j(a) = -9*a**4 + 7*a**3. Let p(d) = -3*j(d) - 2*s(d). Factor p(o).
o**2*(o - 1)*(7*o - 2)
Let j(h) = 12*h**2 - 64*h + 67. Let x be j(1). Let c(g) be the first derivative of -1/2*g**4 + 18 + 14*g + 6*g**3 - x*g**2. Factor c(q).
-2*(q - 7)*(q - 1)**2
Suppose 1 = 4*g - 19. Suppose 10 = g*c - 5. Suppose 11*f + 0 - 29*f + 8 - 2*f**2 + 10*f + 2*f**c = 0. What is f?
-2, 1, 2
Let c = -199 - -204. Suppose 0 = -g - 4*w + 11, 11*g - 12*g - c*w + 13 = 0. Suppose -1/3*q**5 + 0 - 1/3*q**4 - 2/3*q + q**g + 1/3*q**2 = 0. Calculate q.
-2, -1, 0, 1
Let g = -128 + 130. Factor 4*x + 5748 + 2*x**g + 107*x - 30*x + 119*x - 748.
2*(x + 50)**2
Let r = -171 + 173. Factor 18*u**4 - 3*u + 0*u**3 + 50*u**r + 2 + 48*u**3 + 22*u + 3*u**3.
(u + 1)**2*(3*u + 2)*(6*u + 1)
Let p(w) be the second derivative of w**5/4 + 1045*w**4/6 + 110240*w**3/3 + 216320*w**2 + 44*w + 2. Factor p(m).
5*(m + 2)*(m + 208)**2
Suppose -1391*t + 4 = -1393*t - a, 19*a + 160 = 4*t. Factor -4/5 - 3/5*s - 1/10*s**t.
-(s + 2)*(s + 4)/10
Solve 1450*i**2 - 139*i**5 - 100*i**4 - 1981 - 185*i**5 + 329*i**5 + 631 + 100*i**3 - 105*i = 0.
-3, -1, 1, 5, 18
Let y(b) = b**2 + 25*b + 24. Let x be y(-24). Find f, given that -f**2 + x*f**2 - 33*f + 29*f = 0.
-4, 0
Let u(z) be the first derivative of 2*z**3/5 - 49*z**2 + 1517. Find f such that u(f) = 0.
0, 245/3
Let t(b) be the third derivative of b**5/36 + 815*b**4/72 - 410*b**3/9 + 15*b**2. Factor t(c).
5*(c - 1)*(c + 164)/3
Let a(f) = -16*f**4 + 8755*f**3 + 4387*f**2 + 22*f. Let s(v) = -8*v**4 + 4378*v**3 + 2194*v**2 + 12*v. Let g(j) = -6*a(j) + 11*s(j). Factor g(d).
4*d**2*(d - 547)*(2*d + 1)
Let b(n) be the third derivative of n**8/151200 - n**7/18900 - n**6/1800 + 5*n**5/3 - 276*n**2. Let r(s) be the third derivative of b(s). Factor r(a).
2*(a - 3)*(a + 1)/15
Determine n so that 567*n**4 - 7255*n**3 + 858*n**4 - 1710*n + 8975*n**2 - 1400 + 1176*n**5 - 609*n**5 - 602*n**5 = 0.
-2/7, 1, 4, 35
Let f(c) be the first derivative of 2*c**5/65 + 11*c**4/26 + 76*c**3/39 + 4*c**2 + 48*c/13 - 4202. What is m in f(m) = 0?
-6, -2, -1
Find y, given that 20*y**4 + 104*y**3 + 36 - 184*y**2 + 402*y + 189*y**5 - 366*y - 201*y**5 = 0.
-3, -1/3, 1, 3
Let r(a) be the first derivative of 82369*a**4/26 - 438536*a**3/13 - 9180*a**2/13 - 64*a/13 + 328. Factor r(n).
2*(n - 8)*(287*n + 2)**2/13
Factor 256/21*p - 254/21 - 2/21*p**2.
-2*(p - 127)*(p - 1)/21
Let c(o) be the third derivative of o**5/30 - 109*o**4/4 - 953*o**2 + o. Suppose c(y) = 0. What is y?
0, 327
Let t(r) be the third derivative of -r**5/60 + 5*r**4/24 + 2*r**3/3 + 16*r**2. Let j be t(5). Factor -6*y**2 + 3*y**2 + j*y + 3*y**2 + 4*y**2 - 8.
4*(y - 1)*(y + 2)
Let j(p) = -4*p**5 - 38*p**4 + 64*p**3 - 40*p**2. Let f(w) = 4*w**5 + 36*w**4 - 68*w**3 + 40*w**2. Let d(u) = 3*f(u) + 2*j(u). Solve d(r) = 0 for r.
-10, 0, 1
Let h(y) be the second derivative of 5*y**6/24 + 13*y**5/12 - 5*y**4/4 + 95*y**2/2 + 41*y. Let l(w) be the first derivative of h(w). Let l(v) = 0. Calculate v.
-3, 0, 2/5
Factor 256*p**2 - 260*p**2 + 409 + 88 - 572*p + 79.
-4*(p - 1)*(p + 144)
Let j(k) be the second derivative of k**7/189 + 38*k**6/135 - 41*k**5/30 + 2*k**4/27 + 164*k**3/27 - 1228*k. Find t such that j(t) = 0.
-41, -1, 0, 2
Suppose 1197*j - 2129*j - 2236*j + 1264 + 709*j**3 + 2273*j**2 - 721*j**3 - 357*j**2 = 0. Calculate j.
2/3, 1, 158
Let x(u) be the first derivative of -42 + 0*u**2 + 0*u - 3/4*u**4 + 8/7*u**3 - 3/35*u**5. Find v, given that x(v) = 0.
-8, 0, 1
Let o be (-63)/28*24/(-63). Let a = 108/77 - o. Let 0 + 10/11*b**3 - 14/11*b**2 - 2/11*b**4 + a*b = 0. What is b?
0, 1, 3
Let c(r) be the first derivative of -5*r**3/3 - 5*r**2/2 + 660*r + 2729. Factor c(h).
-5*(h - 11)*(h + 12)
Let u(w) be the third derivative of -w**8/560 - 57*w**7/350 + 73*w**6/40 - 807*w**5/100 + 94*w**4/5 - 126*w**3/5 + 4*w**2 - 1836*w. Solve u(n) = 0 for n.
-63, 1, 2
Let b(a) be the third derivative of 7/180*a**6 + 1/18*a**4 - 2*a - 18*a**2 + 1/10*a**5 + 0 + 0*a**3. Solve b(u) = 0 for u.
-1, -2/7, 0
Let q be (10/225*(-270)/(-36))/(2/34). Factor -20/3 + 1/3*a**4 - 59/3*a - q*a**3 - 19*a**2.
(a - 20)*(a + 1)**3/3
Factor -633*j - 2003445/2 - 1/10*j**2.
-(j + 3165)**2/10
Solve -16/3*m**3 - 106/9*m**2 + 2/9*m**4 + 16/3*m + 104/9 = 0 for m.
-2, -1, 1, 26
Suppose -6*r**3 - 39*r - 35616 - 3*r**4 - 207*r + 111*r**2 + 35760 = 0. Calculate r.
-8, 1, 2, 3
Let y be -26 + 3 - -9 - (-5 + 3) - -15. Factor 0 - 8/9*m - 2/3*m**2 + 2/9*m**y.
2*m*(m - 4)*(m + 1)/9
Let c(d) be the second derivative of -1/10*d**6 - 3/2*d**4 - 3/4*d**5 + 22 + 0*d**3 + 0*d**2 + d. Let c(f) = 0. Calculate f.
-3, -2, 0
Let p(h) be the third derivative of 0 + 0*h**3 - 1/3*h**4 + 1/30*h**5 + 0*h + 13*h**2. Let p(d) = 0. Calculate d.
0, 4
Let k(d) be the first derivative of -d**4/16 + 9*d**3/8 - 27*d**2/4 - 42*d + 89. Let i(o) be the first derivative of k(o). Factor i(t).
-3*(t - 6)*(t - 3)/4
Let j(w) be the second derivative of -17*w**7/189 + 25*w**6/27 - 331*w**5/90 + 391*w**4/54 - 68*w**3/9 + 4*w**2 + 3*w - 404. Suppose j(v) = 0. Calculate v.
6/17, 1, 2, 3
Let h(w) be the second derivative of -w**4/6 - 26*w**3/3 - 48*w**2 - 5097*w. Factor h(c).
-2*(c + 2)*(c + 24)
Let d = 19516 + -78063/4. Suppose -d*r**2 + 0 - 9/4*r = 0. What is r?
-9, 0
Let z(y) be the second derivative of -841*y**7/189 + 87*y**6/5 - 67*y**5/3 + 173*y**4/27 + 49*y**3/9 + y**2 + 1104*y. Let z(j) = 0. Calculate j.
-3/29, 1
Let g be 4 + -10 + 30/3. Factor -10*m**4 + 3*m**2 + 19*m**g - m**2 + 5*m**3 + m**5 - 5*m**4.
m**2*(m + 1)**2*(m + 2)
Suppose -4*h = -40, 3368*r + 5*h - 38 = 3371*r. Factor -24/5*d + 4/5*d**r + 32/5*d**2 - 36/5 + 24/5*d**3.
4*(d - 1)*(d + 1)*(d + 3)**2/5
Suppose 4*p = 4*w, -5*p - 6*w = -w. Suppose p = 4*k - 11 - 1. Factor -9*q - 6 - 7*q**3 - 10*q**2 + q**k - 5*q + 4*q**3.
-2*(q + 1)**2*(q + 3)
Let l(r) be the second derivative of -r**5/150 - 11*r**4/30 - 46*r**3/9 - 1897*r + 2. Factor l(o).
-2*o*(o + 10)*(o + 23)/15
Suppose 8*p + 0*p - 24 = 0. Find y such that 6*y**3 + y**5 - p*y**5 + 4*y**4 - 8*y**4 = 0.
-3, 0, 1
Factor 1/4*v**3 - 226*v**2 - 203401/2 + 205205/4*v.
(v - 451)**2*(v - 2)/4
Let x(h) be the third derivative of -h**6/720 + h**5/8 + 31*h**4/48 + 47*h**3/36 + 2*h**2 - 812*h. Factor x(b).
-(b - 47)*(b + 1)**2/6
Factor -952/3 - 36*l + 4/3*l**2.
4*(l - 34)*(l + 7)/3
Let y = -635 + 227. Let w be (-221)/y - 5/(-40). Suppose -8*m + 2/3*m**4 - 16/3*m**2 + 0 + w*m**3 = 0. Calculate m.
-2, 0, 3
Let o(q) be the second derivative of -q**5/40 - 45*q**4/4 + 181*q**3/4 - 68*q**2 + 792*q. Solve o(a) = 0.
-272, 1
Suppose 502/15*n + 0 - 2/15*n**2 = 0. Calculate n.
0, 251
Let b = 740 + -7387/10. Let a(q) be the first derivative of b*q**2 + 2 + 4/5*q + 1/5*q**3. Factor a(z).
(z + 4)*(3*z + 1)/5
Let r = 66 - 21. Factor 2 - 35*t**2 + 55*t**3 - 1744*t + r*t**4 + 1689*t - 12.
5*(t - 1)*(t + 1)**2*(9*t + 2)
Let t(c) = -c**2 - 10*c + 147. Let x be t(-18). Find h such that -90 + 24*h + x*h**4 + 42 + 13*h**3 - 37*h**3 + 45*h**2 = 0.
-1, 1, 4
Let q(o) be the second derivative of -3*o**5/100 + 341*o**4/20 + 2510*o. Solve q(w) = 0 for w.
0, 341
Let h(z) be the third derivative of 169*z**7/6300 - 13*z**6/50 + 27*z**5/25 + 17*z**4/24 + 114*z**2. Let v(l) be the second derivative of h(l). Factor v | {
"pile_set_name": "DM Mathematics"
} |
What is the third root of 79924 to the nearest integer?
43
What is 44466 to the power of 1/6, to the nearest integer?
6
What is the square root of 1652751 to the nearest integer?
1286
What is 23977292 to the power of 1/2, to the nearest integer?
4897
What is the square root of 8083874 to the nearest integer?
2843
What is 748382 to the power of 1/3, to the nearest integer?
91
What is the third root of 3229952 to the nearest integer?
148
What is 9534751 to the power of 1/3, to the nearest integer?
212
What is 204369 to the power of 1/2, to the nearest integer?
452
What is the cube root of 1850316 to the nearest integer?
123
What is the ninth root of 79709 to the nearest integer?
4
What is the cube root of 8417 to the nearest integer?
20
What is 2323739 to the power of 1/9, to the nearest integer?
5
What is 1988619 to the power of 1/3, to the nearest integer?
126
What is the square root of 1290721 to the nearest integer?
1136
What is the eighth root of 298697 to the nearest integer?
5
What is 32011 to the power of 1/3, to the nearest integer?
32
What is 412684 to the power of 1/2, to the nearest integer?
642
What is the fifth root of 1969606 to the nearest integer?
18
What is 5169027 to the power of 1/2, to the nearest integer?
2274
What is 4531321 to the power of 1/2, to the nearest integer?
2129
What is 22333849 to the power of 1/9, to the nearest integer?
7
What is 1271227 to the power of 1/3, to the nearest integer?
108
What is 276124 to the power of 1/2, to the nearest integer?
525
What is 91003 to the power of 1/2, to the nearest integer?
302
What is the square root of 598367 to the nearest integer?
774
What is 1111630 to the power of 1/10, to the nearest integer?
4
What is the third root of 5492689 to the nearest integer?
176
What is the ninth root of 5054698 to the nearest integer?
6
What is the eighth root of 3419920 to the nearest integer?
7
What is 1184852 to the power of 1/9, to the nearest integer?
5
What is the cube root of 227906 to the nearest integer?
61
What is 658497 to the power of 1/3, to the nearest integer?
87
What is the tenth root of 139054 to the nearest integer?
3
What is 599466 to the power of 1/9, to the nearest integer?
4
What is 25689148 to the power of 1/2, to the nearest integer?
5068
What is the square root of 1678926 to the nearest integer?
1296
What is the fifth root of 18235 to the nearest integer?
7
What is the square root of 200153 to the nearest integer?
447
What is the square root of 2101100 to the nearest integer?
1450
What is 160580 to the power of 1/3, to the nearest integer?
54
What is 10869551 to the power of 1/10, to the nearest integer?
5
What is the fourth root of 4639992 to the nearest integer?
46
What is the seventh root of 9236844 to the nearest integer?
10
What is the cube root of 8083893 to the nearest integer?
201
What is the seventh root of 675605 to the nearest integer?
7
What is the square root of 19025716 to the nearest integer?
4362
What is 147934 to the power of 1/5, to the nearest integer?
11
What is the cube root of 567615 to the nearest integer?
83
What is 4567212 to the power of 1/3, to the nearest integer?
166
What is the cube root of 21626196 to the nearest integer?
279
What is the square root of 718386 to the nearest integer?
848
What is 145719 to the power of 1/2, to the nearest integer?
382
What is the seventh root of 5648838 to the nearest integer?
9
What is the square root of 43152389 to the nearest integer?
6569
What is 871570 to the power of 1/4, to the nearest integer?
31
What is the square root of 1495923 to the nearest integer?
1223
What is the square root of 295200 to the nearest integer?
543
What is the third root of 3633701 to the nearest integer?
154
What is 501462 to the power of 1/7, to the nearest integer?
7
What is 1121228 to the power of 1/3, to the nearest integer?
104
What is 2981347 to the power of 1/6, to the nearest integer?
12
What is the square root of 58258 to the nearest integer?
241
What is 52078 to the power of 1/10, to the nearest integer?
3
What is the third root of 12902533 to the nearest integer?
235
What is 10361696 to the power of 1/2, to the nearest integer?
3219
What is 4851438 to the power of 1/6, to the nearest integer?
13
What is the square root of 3869596 to the nearest integer?
1967
What is 10625620 to the power of 1/2, to the nearest integer?
3260
What is 9249379 to the power of 1/6, to the nearest integer?
14
What is 3711688 to the power of 1/5, to the nearest integer?
21
What is 3526213 to the power of 1/6, to the nearest integer?
12
What is 181309 to the power of 1/10, to the nearest integer?
3
What is the fourth root of 1924726 to the nearest integer?
37
What is 153387 to the power of 1/3, to the nearest integer?
54
What is 4392622 to the power of 1/3, to the nearest integer?
164
What is 36564455 to the power of 1/2, to the nearest integer?
6047
What is the third root of 202029 to the nearest integer?
59
What is the tenth root of 6584521 to the nearest integer?
5
What is 2517072 to the power of 1/3, to the nearest integer?
136
What is the fifth root of 91015 to the nearest integer?
10
What is 4698731 to the power of 1/3, to the nearest integer?
167
What is 520722 to the power of 1/2, to the nearest integer?
722
What is the seventh root of 1461380 to the nearest integer?
8
What is the seventh root of 484830 to the nearest integer?
6
What is the cube root of 257359 to the nearest integer?
64
What is 148228 to the power of 1/3, to the nearest integer?
53
What is the third root of 616038 to the nearest integer?
85
What is the fourth root of 18466777 to the nearest integer?
66
What is 545582 to the power of 1/2, to the nearest integer?
739
What is the fourth root of 277382 to the nearest integer?
23
What is 797968 to the power of 1/10, to the nearest integer?
4
What is the ninth root of 28998 to the nearest integer?
3
What is the sixth root of 258643 to the nearest integer?
8
What is the square root of 4373297 to the nearest integer?
2091
What is the third root of 5906483 to the nearest integer?
181
What is 9858361 to the power of 1/5, to the nearest integer?
25
What is 90163 to the power of 1/4, to the nearest integer?
17
What is the eighth root of 1078685 to the nearest integer?
6
What is 274424 to the power of 1/2, to the nearest integer?
524
What is 2581455 to the power of 1/2, to the nearest integer?
1607
What is 19562951 to the power of 1/3, to the nearest integer?
269
What is 5157481 to the power of 1/2, to the nearest integer?
2271
What is 3945943 to the power of 1/2, to the nearest integer?
1986
What is 3253725 to the power of 1/3, to the nearest integer?
148
What is the square root of 688461 to the nearest integer?
830
What is the square root of 7744387 to the nearest integer?
2783
What is the third root of 2428768 to the nearest integer?
134
What is the cube root of 3868631 to the nearest integer?
157
What is the third root of 4180567 to the nearest integer?
161
What is 170218 to the power of 1/2, to the nearest integer?
413
What is 72705 to the power of 1/10, to the nearest integer?
3
What is the third root of 2849039 to the nearest integer?
142
What is the cube root of 1367228 to the nearest integer?
111
What is 2353657 to the power of 1/5, to the nearest integer?
19
What is 609243 to the power of 1/5, to the nearest integer?
14
What is the cube root of 6054 to the nearest integer?
18
What is the third root of 346335 to the nearest integer?
70
What is 3666521 to the power of 1/2, to the nearest integer?
1915
What is 38562289 to the power of 1/6, to the nearest integer?
18
What is the square root of 12054084 to the nearest integer?
3472
What is 3694562 to the power of 1/6, to the nearest integer?
12
What is the eighth root of 2725976 to the nearest integer?
6
What is the ninth root of 206231 to the nearest integer?
4
What is the ninth root of 425648 to the nearest integer?
4
What is 739498 to the power of 1/5, to the nearest integer?
15
What is 852982 to the power of 1/3, to the nearest integer?
95
What is 5076961 to the power of 1/4, to the nearest integer?
47
What is 521306 to the power of 1/8, to the nearest integer?
5
What is 6638 to the power of 1/2, to the nearest integer?
81
What is the ninth root of 211676 to the | {
"pile_set_name": "DM Mathematics"
} |
4, -109, -116, -141, -190?
-b**3 + 12*b - 125
What is the x'th term of 49, 53, 57, 61, 65?
4*x + 45
What is the q'th term of 28, 24, -8, -68, -156, -272?
-14*q**2 + 38*q + 4
What is the z'th term of 144, 120, 96, 72, 48, 24?
-24*z + 168
What is the g'th term of -24, -113, -262, -471, -740?
-30*g**2 + g + 5
What is the m'th term of 18, 0, -30, -78, -150?
-m**3 - 11*m + 30
What is the b'th term of 96, 110, 148, 222, 344, 526?
2*b**3 + 94
What is the n'th term of -10119, -10120, -10121?
-n - 10118
What is the f'th term of 522, 1043, 1564, 2085, 2606, 3127?
521*f + 1
What is the o'th term of 74, 185, 308, 449, 614, 809?
o**3 + 104*o - 31
What is the q'th term of 65, 61, 57?
-4*q + 69
What is the h'th term of -67, -94, -121, -148?
-27*h - 40
What is the v'th term of -69, -82, -107, -150, -217, -314, -447, -622?
-v**3 - 6*v - 62
What is the o'th term of -23521, -23520, -23519?
o - 23522
What is the c'th term of -549, -1084, -1597, -2076, -2509, -2884, -3189?
2*c**3 - c**2 - 546*c - 4
What is the d'th term of -585, -601, -621, -639, -649, -645, -621, -571?
d**3 - 8*d**2 + d - 579
What is the b'th term of 3, 36, 69, 102, 135?
33*b - 30
What is the h'th term of 35772, 35771, 35770, 35769, 35768, 35767?
-h + 35773
What is the n'th term of -219, -202, -177, -144, -103, -54?
4*n**2 + 5*n - 228
What is the u'th term of 797, 799, 801?
2*u + 795
What is the o'th term of 70, 55, 40, 25?
-15*o + 85
What is the g'th term of 2, -12, -42, -94, -174, -288, -442, -642?
-g**3 - 2*g**2 - g + 6
What is the k'th term of 1864, 3726, 5588, 7450, 9312, 11174?
1862*k + 2
What is the c'th term of -87, -90, -93, -96, -99?
-3*c - 84
What is the f'th term of -16, -46, -94, -160, -244, -346, -466?
-9*f**2 - 3*f - 4
What is the l'th term of -12, -24, -36?
-12*l
What is the n'th term of 19, 35, 67, 121, 203?
n**3 + 2*n**2 + 3*n + 13
What is the r'th term of -127, -109, -73, -13, 77, 203, 371?
r**3 + 3*r**2 + 2*r - 133
What is the n'th term of 34, 83, 152, 241, 350?
10*n**2 + 19*n + 5
What is the q'th term of 771, 1544, 2317, 3090?
773*q - 2
What is the d'th term of 19, 30, 55, 100, 171, 274, 415?
d**3 + d**2 + d + 16
What is the u'th term of -269, -1100, -2485, -4424, -6917?
-277*u**2 + 8
What is the a'th term of 170, 164, 158, 152, 146?
-6*a + 176
What is the x'th term of -5, -179, -469, -875, -1397, -2035?
-58*x**2 + 53
What is the t'th term of 40, 68, 114, 178, 260, 360?
9*t**2 + t + 30
What is the k'th term of 108, 256, 400, 540, 676, 808, 936?
-2*k**2 + 154*k - 44
What is the i'th term of 1920, 1901, 1872, 1827, 1760, 1665, 1536, 1367?
-i**3 + i**2 - 15*i + 1935
What is the h'th term of 21, 148, 373, 690, 1093?
-h**3 + 55*h**2 - 31*h - 2
What is the b'th term of 1674, 1676, 1678, 1680, 1682?
2*b + 1672
What is the s'th term of -15, -56, -125, -222, -347?
-14*s**2 + s - 2
What is the f'th term of 70, 139, 208?
69*f + 1
What is the z'th term of 314, 627, 940, 1253?
313*z + 1
What is the b'th term of -2578, -5155, -7732?
-2577*b - 1
What is the p'th term of 2445, 2450, 2455, 2460, 2465?
5*p + 2440
What is the w'th term of 875, 873, 871, 869, 867?
-2*w + 877
What is the s'th term of 1811, 1810, 1817, 1838, 1879, 1946, 2045?
s**3 - 2*s**2 - 2*s + 1814
What is the w'th term of 6391, 6391, 6381, 6355, 6307?
-w**3 + w**2 + 4*w + 6387
What is the g'th term of 257, 519, 781, 1043, 1305, 1567?
262*g - 5
What is the q'th term of -53, -43, -23, 13, 71?
q**3 - q**2 + 6*q - 59
What is the r'th term of -40, -51, -50, -31, 12, 85, 194?
r**3 - 18*r - 23
What is the f'th term of 5, -3, -25, -67, -135, -235, -373?
-f**3 - f**2 + 2*f + 5
What is the z'th term of 62, 202, 444, 794, 1258, 1842, 2552, 3394?
z**3 + 45*z**2 - 2*z + 18
What is the u'th term of -42, -185, -422, -753?
-47*u**2 - 2*u + 7
What is the w'th term of -1276, -1284, -1292?
-8*w - 1268
What is the c'th term of -195, -190, -181, -168?
2*c**2 - c - 196
What is the t'th term of -524, -511, -488, -455, -412, -359?
5*t**2 - 2*t - 527
What is the j'th term of 3341, 6678, 10015, 13352?
3337*j + 4
What is the j'th term of -351, -346, -341, -336, -331?
5*j - 356
What is the r'th term of -87, -85, -73, -45, 5, 83, 195?
r**3 - r**2 - 2*r - 85
What is the q'th term of 1849, 1847, 1831, 1795, 1733, 1639, 1507, 1331?
-q**3 - q**2 + 8*q + 1843
What is the g'th term of 453, 455, 459, 465, 473, 483?
g**2 - g + 453
What is the c'th term of 82, 143, 176, 169, 110?
-2*c**3 - 2*c**2 + 81*c + 5
What is the d'th term of -65, -119, -185, -269, -377, -515, -689, -905?
-d**3 - 47*d - 17
What is the m'th term of 419, 809, 1199?
390*m + 29
What is the h'th term of 33, 42, 63, 102, 165, 258, 387?
h**3 + 2*h + 30
What is the f'th term of 23, 22, 31, 56, 103?
f**3 - f**2 - 5*f + 28
What is the x'th term of 438, 426, 424, 438, 474, 538?
x**3 - x**2 - 16*x + 454
What is the f'th term of 213, 220, 241, 282, 349, 448, 585, 766?
f**3 + f**2 - 3*f + 214
What is the m'th term of -1538, -3081, -4626, -6173, -7722, -9273?
-m**2 - 1540*m + 3
What is the y'th term of 29, 4, -49, -136, -263, -436?
-y**3 - 8*y**2 + 6*y + 32
What is the d'th term of -58, -57, -56, -55?
d - 59
What is the u'th term of -28417, -28419, -28421?
-2*u - 28415
What is the u'th term of -1083, -1035, -961, -867, -759, -643?
-u**3 + 19*u**2 - 2*u - 1099
What is the q'th term of -9, -16, -29, -48?
-3*q**2 + 2*q - 8
What is the v'th term of -16, -13, 8, 59, 152, 299, 512?
2*v**3 - 3*v**2 - 2*v - 13
What is the u'th term of 162, 652, 1468, 2610?
163*u**2 + u - 2
What is the n'th term of -15, -48, -139, -318, -615, -1060?
-5*n**3 + n**2 - n - 10
What is the v'th term of -152, -1241, -4204, -9977, -19496?
-156*v**3 - v**2 + 6*v - 1
What is the t'th term of -399, -383, -357, -321?
5*t**2 + t - 405
What is the t'th term of -76, -78, -80, -82, -84, -86?
-2*t - 74
What is the z'th term of -180, -176, -170, -162, -152, -140?
z**2 + z - 182
What is the d'th term of -156, -311, -468, -627, -788, -951?
-d**2 - 152*d - 3
What is the p'th term of 428, 436, 446, 458, 472?
p**2 + 5*p + 422
What is the l'th term of 122, 256, 392, 530, 670, 812, 956?
l**2 + 131*l - 10
What is the b'th term of 24, 28, 32, 36, 40?
4*b + 20
What is the x'th term of 43, 79, 113, 145, 175, 203, 229?
-x**2 + 39*x + 5
What is the p'th term of 30, 8, -16, -42, -70, -100, -132?
-p**2 - 19*p + 50
What is the w'th term of 5998, 11988, 17980, 23974, 29970?
w**2 + 5987*w + 10
What is the k'th term of 38, 131, 280, 485, 746?
28*k**2 + 9*k + 1
What is the t'th term of -241, -221, -201?
20*t - 261
What is the y'th term of -40, -60, -80, -100, -120?
-20*y - 20
What is the f'th term of -36, -133, -300, -543, -868, -1281, -1788, -2395?
-f**3 - 29*f**2 - 3*f - 3
What is the p'th term of -27204, -27203, -27202, -27201, -27200, -27199?
p - 27205
What is the s'th term of 659, 714, 781, 866, 975, 1114, 1289, 1506?
s**3 + 48*s + 610
What is the q'th term of -232, -489, -756, -1039, -1344, -1677, -2044?
-q**3 + q**2 - 253*q + 21
What is the r'th term of 10, 5, -8, -35, -82, -155, -260, -403?
-r**3 + 2*r**2 - 4*r + 13
What is the t'th term of 3, 11, 23, 39, 59?
2*t**2 + 2*t - 1
What is the h'th term of 55, 45, 29, 1, -45, -115, -215, -351?
-h**3 + 3*h**2 - 12*h + 65
What is the n'th term of -406, -1487, -3294, -5833, -9110, -13131, -17902?
-n**3 - 357*n**2 - 3*n - 45
What is the i'th term of -115, -228, -339, -448, -555, -660?
i**2 - 116*i
What is the d'th term of -191, -384, -577, -770, -963?
-193*d + 2
What is the l'th term of 50, 37, 12, -31, -98?
-l**3 - 6*l + 57
What is the j'th term of 79, 86, 97, 112, 131?
2*j**2 + j + 76
What is the m'th term of -280, -550, -816, -1078, -1336, -1590?
2*m**2 - 276*m - 6
What is the d'th term of 0, -25, -80, -177, -328, -545, -840?
-2*d**3 - 3*d**2 - 2*d + 7
What is the y'th term of -349, -317, -247, -121, 79, 371?
3*y**3 + y**2 + 8*y - 361
What is the k'th term of 1437, 1441, 1445?
4*k + 1433
What is the c'th term of -44, -135, -282, -497, -792, -1179, -1670?
-2*c**3 - 16*c**2 - 29*c + 3
What is the z'th term of 169, 180, 201, 232, 273, 324, 385?
5*z**2 - 4*z + 168
What is the g'th term of -294, -515, -758, -1035, -1358?
-2*g**3 + g**2 - 210*g - 83
What is the h'th term of 169, 235, 297, 355, 409?
-2*h**2 + 72*h + 99
What is the c'th term of -305, -384, -465, -548, -633?
-c**2 - 76*c - 228
What is the i'th term of - | {
"pile_set_name": "DM Mathematics"
} |
20 + 12. Let v(z) = 5*z**2 - 7. Let t(b) = -b**2 + 1. Let c(y) = d*v(y) - 14*t(y). Let a(w) = 3*w. Determine c(a(s)).
36*s**2
Let g(y) = 66*y - 6*y - 100*y - 297*y. Let j(k) = 2*k. Give g(j(b)).
-674*b
Let x = 21 - 29. Let r be (-221)/(-68) - (-2)/x. Let d(a) = -3*a + 5*a - r*a. Let p(i) = -7*i**2. Calculate d(p(n)).
7*n**2
Let f(o) = 2*o**2. Let l(v) = 6*v**2 + v + 14. What is l(f(j))?
24*j**4 + 2*j**2 + 14
Let v(h) = h. Let g(q) = 85*q**2 + 10*q - 10. Let y(j) = 2*j**2 + j - 1. Let s(m) = g(m) - 10*y(m). Give v(s(r)).
65*r**2
Let m(h) = -h. Let j(d) = -2219*d**2. Calculate m(j(f)).
2219*f**2
Let g(b) = 12*b**2. Let j(f) = 581*f**2 - 2*f. Determine j(g(w)).
83664*w**4 - 24*w**2
Let q(k) = -3*k**2. Let b(v) = -148758 + 148758 + 2*v**2. Give b(q(o)).
18*o**4
Let j(f) = f. Let o(g) = 4*g**2 + 191*g + 6. Calculate j(o(m)).
4*m**2 + 191*m + 6
Let v(a) = a**2 + 2*a + 2. Let h(l) = -6*l**2 - 16*l - 16. Let y(m) = h(m) + 8*v(m). Let d(i) = 144*i. What is d(y(c))?
288*c**2
Let p(m) = -2 + 3*m**2 + 2 + 27*m**2. Let z(g) = 3*g**2 + 2*g - 2. Let b(j) = 7*j**2 + 5*j - 5. Let o(f) = -2*b(f) + 5*z(f). What is p(o(v))?
30*v**4
Let s(q) = q**3 - q**2 - 13*q + 5. Let g be s(4). Let y(w) = -9*w - 4. Let l(x) = 2*x + 1. Let a(d) = g*y(d) + 4*l(d). Let t(h) = h. Determine a(t(c)).
-c
Let x(g) be the third derivative of g**5/30 - 10857*g**2. Let w(q) = -6*q**2 - q**2 - 3*q**2. Determine x(w(j)).
200*j**4
Let r(h) = -50*h. Let d(x) = 2145*x - 6. What is r(d(q))?
-107250*q + 300
Let v(u) = 6*u. Let f(t) = 3*t - 17. Let m(r) = -2*r + 7. Let c(g) = -4*f(g) - 9*m(g). Give v(c(o)).
36*o + 30
Let u(p) = 7*p**2. Let q(a) = -108058*a. Give q(u(x)).
-756406*x**2
Suppose 2*i - 2*b + b = 21, 0 = 5*i + 4*b - 59. Let u(f) = -64 - i*f**2 + 64. Let d(s) = s**2. Give u(d(r)).
-11*r**4
Let z(g) = -10*g. Let t(a) = 18381*a - 2. Give t(z(h)).
-183810*h - 2
Let v(l) = -9*l**2 + 2*l - 4. Let i(x) = 440*x**2 - 99*x + 198. Let f(t) = 2*i(t) + 99*v(t). Let j(a) = 0*a - 3*a + a. Calculate f(j(u)).
-44*u**2
Let d(l) = -l + 2*l - 5*l. Let u(j) = -j - 20. Let n(y) = y + 15. Let v(s) = -4*n(s) - 3*u(s). Determine d(v(x)).
4*x
Let s(q) = -14*q**2. Let g(j) = 2*j**2 + 846. What is g(s(f))?
392*f**4 + 846
Let s(y) = 2*y**2. Let u(w) = -193*w - 23. What is s(u(f))?
74498*f**2 + 17756*f + 1058
Let k(y) = 5*y. Let o(j) = -1664*j**2. Determine o(k(m)).
-41600*m**2
Let z(i) = -13*i**2. Let a(x) = 8*x**2 + 7*x - 6. Determine a(z(l)).
1352*l**4 - 91*l**2 - 6
Let g(d) = 3*d. Let k(m) = -42*m**2 - 16*m + 8*m + 91*m**2 + 5*m. Determine g(k(u)).
147*u**2 - 9*u
Let i(d) = 2*d. Let b(a) = 162*a + 2 - 137*a + 2. What is i(b(l))?
50*l + 8
Let d(l) = 4*l. Let r(x) be the second derivative of -19*x**7/2520 - x**4/3 + 13*x - 2. Let p(k) be the third derivative of r(k). Give p(d(t)).
-304*t**2
Let p(l) = 3*l. Let z(c) = -195893*c. Give p(z(h)).
-587679*h
Let y(w) be the first derivative of 3*w**2/2 - 127. Let d(i) = 2*i. Determine y(d(t)).
6*t
Let p(q) = 13*q**2 + 40886*q - 40886*q. Let h(y) = y. Give p(h(w)).
13*w**2
Let c(y) = 2*y**2 - 2*y + 1. Let m(j) = -10*j**2 + 9*j - 4. Let v(g) = -9*c(g) - 2*m(g). Let d(s) = 4*s. What is d(v(u))?
8*u**2 - 4
Let q(g) be the second derivative of -11*g**4/3 - 143*g. Let m(h) = 2*h. Give q(m(b)).
-176*b**2
Let n(b) = 3*b**2 - 21*b. Let j(m) = -2*m**2 - 6. Let x(c) = 2*c**2 + 5. Let q(a) = -5*j(a) - 6*x(a). Determine n(q(t)).
12*t**4 + 42*t**2
Let s(q) = -131*q. Let k(c) = -3*c**2 + 424*c. Calculate s(k(z)).
393*z**2 - 55544*z
Let z(s) be the first derivative of 2*s**3/3 - 63*s + 225. Let i(n) = -2*n. Calculate z(i(x)).
8*x**2 - 63
Let a(s) be the first derivative of -711*s**2/2 + 480. Let m(c) = -c. Give m(a(v)).
711*v
Let f(r) be the second derivative of r**4/12 - 4*r + 16. Let v(y) = 55*y**2. What is v(f(k))?
55*k**4
Let p(i) = -3*i**2 - 133*i - 6. Let s(t) = 9*t**2. Give p(s(c)).
-243*c**4 - 1197*c**2 - 6
Let r(y) = 30*y. Let l(i) be the third derivative of i**5/15 - i**4/12 + 12*i**2. Let w(u) = -5*u**2 + 3*u. Let s(h) = 3*l(h) + 2*w(h). Calculate s(r(q)).
1800*q**2
Let g(b) = b + 8. Let q(a) = -119*a + 21. Let t(s) = 6*s - 1. Let m(c) = -q(c) - 21*t(c). Give g(m(p)).
-7*p + 8
Let p(m) = -m**2. Let s(j) = -2*j. Let r(g) = -3 + 3 - 466*g + 460*g. Let u(n) = -2*r(n) + 5*s(n). Determine u(p(f)).
-2*f**2
Let h(x) = -6*x**2 + 4. Let q(d) = d - 717 + 717. Determine h(q(r)).
-6*r**2 + 4
Let k(h) = h**2 + 3*h - 58. Let l(t) = 15*t. Determine k(l(q)).
225*q**2 + 45*q - 58
Let m(i) be the third derivative of -i**5/30 - 193*i**2. Let v(p) be the third derivative of 2*p**4/3 + p**2. Determine v(m(u)).
-32*u**2
Let n(a) = -3*a**2 + 5*a + 1. Let g(b) = -b**2 + b - 1. Let j(z) = -5*g(z) + n(z). Let p(o) = 4*o. What is p(j(u))?
8*u**2 + 24
Let h(x) = 3*x + 20. Let p(i) = -2*i - 114. Give h(p(r)).
-6*r - 322
Let q(a) = 99 - 40 - 3*a**2 - 59. Let d(i) = i**2 - 404*i. What is d(q(g))?
9*g**4 + 1212*g**2
Let j(r) = r. Suppose -4*v = 8, 6*o - 3*o = -4*v + 4. Let m(h) = 19*h**2 - 4*h + o*h - 12*h**2. Give m(j(d)).
7*d**2
Let z(p) be the third derivative of 0 - 1/8*p**4 + 0*p + 0*p**3 - 11*p**2. Let u(o) = -5*o**2. Calculate u(z(t)).
-45*t**2
Let s(a) = 264*a**2 + 260*a**2 + 269*a**2 - 791*a**2. Let q(w) = 85*w**2. What is q(s(m))?
340*m**4
Let b(a) = 13*a**2 - 3. Let f(l) = -l**2 + 1. Let u be (-5)/2 + 4/8. Let r(w) = 1. Let i(p) = u*r(p) + 2*f(p). What is i(b(v))?
-338*v**4 + 156*v**2 - 18
Let x(o) = -2*o**2 - 6*o - 10. Let q(f) = 2*f. What is q(x(s))?
-4*s**2 - 12*s - 20
Let v(x) = 3*x**2 + 466 - 466. Let p(f) be the third derivative of 5*f**4/24 - 5*f**2. Calculate p(v(c)).
15*c**2
Let q(u) = -22*u**2 + 5. Let b(j) = -j**2 - 1. Let c(r) = 5*b(r) + q(r). Let h(f) be the third derivative of f**5/60 - 108*f**2. Give h(c(p)).
729*p**4
Let f(u) = 5964*u. Let t(k) = 175*k. Give t(f(d)).
1043700*d
Let l(d) = -7*d. Let z(o) = -206*o**2. What is l(z(y))?
1442*y**2
Let r(f) = -14*f**2. Let u(w) = 2*w + 31. Let c be u(0). Let h(v) = -31 + c + v. Determine r(h(n)).
-14*n**2
Let w(y) be the first derivative of 0*y - 7 + 3/2*y**2. Let u(f) = -7 + 7 + 3*f. What is u(w(o))?
9*o
Let w(z) = z. Let f(l) = -139372*l. Calculate f(w(s)).
-139372*s
Let l(z) = 7*z - 6. Let b(u) = 12*u - 10. Let v(c) = -3*b(c) + 5*l(c). Let r(a) = -184*a**2. What is r(v(w))?
-184*w**2
Let m(r) = r. Let q(n) = -2577*n**2. Calculate m(q(z)).
-2577*z**2
Let x(z) = -2*z**2. Suppose 9*d - 39 = -3. Let p(g) = 0*g + d*g + 6*g + 0*g. What is p(x(y))?
-20*y**2
Let m(h) = -13520*h**2. Let r(z) = -4*z. What is m(r(w))?
-216320*w**2
Let q(b) = -2*b. Let d(x) = -313*x + 1 + 1 + 274*x. What is q(d(t))?
78*t - 4
Let s(c) be the second derivative of -17*c**4/3 + 175*c. Let b(i) = -3*i. Determine b(s(q)).
204*q**2
Let q(s) be the first derivative of 2*s**2 + 13*s + 234. Let p(w) = -6*w. Give q(p(n)).
-24*n + 13
Let g(u) = -5*u**2 + 5*u - 5. Let w(c) = 2*c**2 - 3*c + 3. Let z(l) = -3*g(l) - 5*w(l). Let d(n) = 627 - 4*n**2 - 627. Determine z(d(x)).
80*x**4
Suppose 5*b + l = 8, l = 3*b + 5*l + 2. Let a(x) = -2*x**2 - 4*x**b + 3*x**2. Let f(k) = -k. Give f(a(d)).
3*d**2
Suppose 7*n - 84 = n. Let q be 0*(4 - n/4). Let y(s) = s - s - s + q. Let b(o) = -o**2. Give y(b(k)).
k**2
Let g(a) = -6*a**2. Let k = -46 - -65. Let d(i) = i + k*i - 20*i - i**2. Give g(d(p)).
-6*p**4
Let o(p) = 3*p + 4. Let y(d) = 2*d**2 - 297. Give y(o(g)).
18*g**2 + 48*g - 265
Let q(b) = -6*b**2. Let m(o) be the second derivative of 0 + 0*o**2 - 5/3*o**3 + 18*o. What is m(q(i))?
60*i**2
Let j(k) = 10*k**2. Suppose 0 = 5*o - 2*d - 20, 4*d - 6 = -o - 24. Let n(h) = 886*h - h**o - 886*h. Calculate j(n(z)).
10*z**4
Let v(t) be the second derivative of -t**3/6 - 2*t - 27. Let j(n) = 227*n**2. Give v(j(m)).
-227*m**2
Let v(c) = c**2. Let a(g) = 7*g**2. Suppose -1 = -t - 0*t. Let w(s) = t*a(s) - 14*v(s). Let q(x) = 13*x + 22*x - 33*x. What is q(w(l))?
-14*l**2
Let d(r) = -7*r. Let t(u) = -4194*u**2. Calculate t(d(j)).
-205506*j**2
Let b(a) = -5*a. Let p(w) = -2*w**2 - 2*w + 2. Let d(y) = -y**2 + y - 1. Let n(l) = -2*d(l) - p(l). Give b(n(v)).
-20*v**2
Let o(d) = -42*d - 47*d + 93*d. Let p(l) be the second derivative of l**3/6 + 10*l. Calculate p(o(n)).
4*n
Let l(x) = 2*x. Let g(d) = -23*d**2 - 28*d**2 - 48*d**2 + 14*d**2. Determine l(g(h)).
-170*h**2
Let u(w) = -53*w. Let r(x) = -1554*x | {
"pile_set_name": "DM Mathematics"
} |
r = -0*y - 14, -786*r = -4*y - 785*r - 2 for y.
-1
Solve 68*s - 73*s = -6*l - 75, 0 = -2*l + 6 + 4 for s.
21
Solve 4*o - 3*f + 18 = 0, -4*o - 22 + 12 = f for o.
-3
Solve 75 = -4*s - 4*k + 87, 7*k - 14 = 0 for s.
1
Solve 0 = -5*v + 5*i + 25, -430 = -2*v + 4*i - 416 for v.
3
Solve -638*i + 635*i - 23 = -4*o, 2*o - 10 = 2*i for o.
8
Solve 9905*i + 4*b + 22 = 9903*i, 2*i - 3*b = -1 for i.
-5
Solve -68 - 22 = -5*k, 2*k = -3*c + 30 for c.
-2
Solve -2*w = w - 5*o - 4, 2*o = 5*w + 6 for w.
-2
Solve 2*h + 5*t + 6173 - 6115 = 0, -26 = -h + 3*t for h.
-4
Solve 0 = -3*r - 21*s + 11*s + 37, -5*s + 16 = 4*r for r.
-1
Solve 0 = -5*d - 2*q - 21, q = 4*d + 218 - 196 for d.
-5
Solve -2*n + 5*v = -29, -51*v + 47*v = 4*n + 12 for n.
2
Solve 2410*t - 2406*t - 4*z = -76, 2*t - 4*z + 48 = 0 for t.
-14
Solve 4*g + 3*w + 16 = -9, -3485 = 3*w - 3476 for g.
-4
Solve -20 = 4*d - 2*p, -2*p + 41 = -21*d - 64 for d.
-5
Solve 4*w + 18*i + 34 = 0, 750*i - 5 = 751*i for w.
14
Solve -c = -5*k - 40, 546*c - 2*k = 549*c + 33 for c.
-5
Solve 3*p + 8*f - 121 = -205, 4*f - 3*f + 12 = 0 for p.
4
Solve -344*h = -2*y - 341*h - 16, 4*y + 2*h + 32 = 0 for y.
-8
Solve -j - 2*h = -3, -119*j + 4*h + 29 = -114*j for j.
5
Solve -4*j - 12 = 4*k, -2*j - 7 = 3*k - 2 for k.
1
Solve -4*y + 16 = -7*a - 19, -3*a = -4*y + 31 for a.
-1
Solve 2394*l + 20 = 3*m + 2399*l, -l = -1 for m.
5
Solve 2*g = -5*z - 46 + 53, g = z for z.
1
Solve -3*n = -780*b + 781*b - 17, -176 = -24*n + 2*b for n.
7
Solve 0 = c + 5, 0 = b - 0*c + 6*c - c + 23 for b.
2
Solve v - 2 = -32*l + 31*l, 16 = -4*l + 2*v for l.
-2
Solve -5*a - 10 = 5*h, 272*h - 2 = -3*a + 277*h for a.
-1
Solve h = -x + 3*x + 6, -5*h = -x + 6 for x.
-4
Solve 3*d = 3*c + 12, 0 = 4*c - 16*d + 21*d - 29 for c.
1
Solve -g + 2*q = 4, 5*q + 40 - 56 = g for g.
4
Solve -4*c + 17 = -23928*o + 23929*o, 2*c - 2*o = 6 for c.
4
Solve k + 621*u = 625*u - 70, 2*k + 50 = 3*u for k.
2
Solve 82*v - 80*v - 3*x + 36 = 0, 60 = -3*v + 5*x for v.
0
Solve -3*b + 11 = -f, -5*b + 28*f = 32*f - 41 for b.
5
Solve -2*l + 16 = -2*z, -1037*l + 5*z = -1042*l for l.
4
Solve 0 = 5*l - 5*z - 35, 34*z + 24 + 136 = -5*l for l.
2
Solve 0 = 3*d + 2*n + 376 - 382, -5*n + 4 = 2*d for d.
2
Solve 4*s - 4 = 4*j, -170*j = 8*s - 166*j - 8 for s.
1
Solve 2*i + 15 = -15, 4*v - 141 + 106 = i for v.
5
Solve 0 = -10*v + 2*l + 230, -3*v = -6*v - 5*l + 97 for v.
24
Solve 33*a - 31*a + 4 = -6*h, -2*h + 5*a = -27 for h.
1
Solve -7*a + 4*y = -130, -a - y = -95 + 78 for a.
18
Solve 0 = -4*h + 3*d - 2 + 32, 3*h = -2*d + 14 for h.
6
Solve 17065*w - 17063*w - 3*i + 5 = 0, 4 = w + 5*i for w.
-1
Solve 185 = -30*w - 5*x, -2*w - 26*x = -25*x + 13 for w.
-6
Solve -4*t - 2*j + 32 = 0, 2*t - 2*j - 1944 = -1940 for t.
6
Solve -7864*k + 4*u = -7859*k + 4, -5*k - 2*u + 2 = 0 for k.
0
Solve 3*b + 3*a + 33 = 0, b + 3*a - 76 = -87 for b.
-11
Solve -5*b + 18 = 3*u - b, -u + 4*b - 10 = 0 for u.
2
Solve 0 = -5*z + 5*b + 35, 2343*b - 28 = z + 2347*b for z.
0
Solve -1 = 4*d + 3*j, -6 = -d + 4*j - 11 for d.
-1
Solve b + 424*c - 5 = 423*c, -5*b + 5*c - 15 = 0 for b.
1
Solve -462*u = -3*f - 458*u - 17, 5*f - u = 0 for f.
1
Solve -h = 197*w - 198*w - 22, h = 2*h - 3 for w.
-19
Solve -12*m + 8*m - c = -3, 0 = -2*m + c - 3 for m.
0
Solve 4*n - 154 = -5*l - 137, 0 = 5*n + 5*l - 20 for n.
3
Solve -3*q = 3*s + 27, -3*s - 33*q + 1 = -37*q for s.
-5
Solve 2*c + 3*c + 25 = 0, -3*q + 47*c - 49*c + 17 = 0 for q.
9
Solve c + 3*l + 5 = 0, 117*c - 25 = 115*c + l for c.
10
Solve -3*r = 6522*a - 6527*a + 29, a = 4*r + 33 for r.
-8
Solve 2*t = 18*g - 10, 5*g + 0*g + 7 = 3*t for t.
4
Solve -5*r - s = 19, 1 + 27 = -2*r + 3*s for r.
-5
Solve 0 = -h - 5*p - 19, -99*h + 80 = -3*p - 31 for h.
1
Solve 4*s = -2*o - 14, 0 = -2*s - 136*o + 140*o + 18 for s.
-1
Solve -4*q = -3*z - 22, 4*z + 209*q - 12 = 204*q for z.
-2
Solve -2*d = x - 15, 5*x + 311*d - 309*d = 11 for x.
-1
Solve -11*b - 11*b = -24*b + 2*q, -q = -5*b - 12 for b.
-3
Solve -3*v = y - 1723 + 1712, 9 = -5*y + v for y.
-1
Solve 5*j = 4*s - 13, 467*s - 472*s + 5*j + 10 = -5 for s.
2
Solve -c - c + 24 = -4*g, 297*c = 50*g + 294*c + 256 for g.
-5
Solve -9*q = -5*q + 3*j + 23, 0 = -10*q + 3*j - 5 for q.
-2
Solve 4*v - 637*k + 634*k + 3 = 0, 0 = 5*v + 5*k + 30 for v.
-3
Solve 7*y = 0, -5*v + 2*v + 10*y = -5*v + 5*y - 4 for v.
-2
Solve -4*o = -b - 2*o + 1, o + 8 = -b for b.
-5
Solve 2*b = 14*s - 112, 3*s + 43*b - 24 = 47*b for s.
8
Solve -5*p = -3*c - 10, -460*c + 455*c + 45 = 4*p for c.
5
Solve -22 = -5*n + d, -37*n + 36*n = d - 8 for n.
5
Solve -279 + 256 = -4*o + 3*a, 6 = 2*o + 4*a for o.
5
Solve 0 = 4*z - 6*u + 3*u - 13, -3 = -256*z - 4*u + 241 for z.
1
Solve 0 = -8*j + 3*j - u - 31, 0 = 5*j + 2*u + 32 for j.
-6
Solve b - 61*u + 118*u + 7 = 61*u, 4*u = -8 for b.
-15
Solve -5*m = -x + 94 - 110, -4*x - 4*m + 32 = 0 for x.
4
Solve -2*s + 19 = 3*j, -781*j + 777*j = -4*s + 8 for s.
5
Solve 0 = -r - 2*h - 9, 80*r + 17 = 75*r + 4*h for r.
-5
Solve 3*b - 4*i - 5 = 0, 99 - 101 = i for b.
-1
Solve 7 = -4*w + 3*s, 5*w + 26*s - 28*s = 0 for w.
2
Solve 3*q + 9212*z + 5 = 9211*z, 0 = q + 3*z + 7 for q.
-1
Solve 4*v = r, -4*v = -r + v - 2265 + 1130 + 1134 for r.
4
Solve 2*v = 5*a - 2, 0 = 11*a - 9*a + 3*v + 3 for a.
0
Solve -3*l + 4*y + 2 = 0, 2*y = l + 60 - 62 for l.
-2
Solve 2*m + 6*j = 11*j + 18, -m - 5*j - 21 = 0 for m.
-1
Solve 3*g = 9*l + 6, -4 = 37*g - 39*g - l for g.
2
Solve -4*i + 9*b = 14*b + 13, 3*i + 4 = 2*b for i.
-2
Solve 0 = -4*d - z - 31, -4*z - 12864 + 12784 = 5*d for d.
-4
Solve -4*t + 5*i + 45 = 0, t + 2167 - 2178 = i for t.
10
Solve -3*g - 232*u + 109 = -230*u, -7*g + 3*u = -285 for g.
39
Solve -g = -2*u - 9, -35*g + 12 = 866*u - 865*u - 30*g for u.
-3
Solve -518 = 3*q - 2*g - 480, 0 = -q - 4*g - 8 for q.
-12
Solve 3*m - 10 = 5*x, -3*x = m + 7 - 1 for m.
0
Solve -3*q - q - 4*k + 48 = 0, 6*q + 5 = k for q.
1
Solve 20 = -5*i + 5, -5*j + 9 = 3*i + 3 for j.
3
Solve 175*r - 180*r = -4*d + 63, r + 13 = d for r.
-11
Solve -6*o = 5*p - 3*p - 40, o + 4*p - 47 = 0 for o.
3
Solve -58*j - 4*p - 50 = -56*j, 0 = p + 12 for j.
-1
Solve -3*t - 17 = 2*y, 12422*y - 12422*y = -5*t - 25 for y.
-1
Solve -5*v - 18*k = -18, 0 = -10*v + 13*v - 4*k + 4 for v.
0
Solve 209*o + 4 = 2*f + 213*o, 4*f + 2*o - 2 = 0 for f.
0
Solve -f + 3*s + 1332 - 1310 = 0, 0 = 5*f + 4*s + 4 for f.
4
Solve 3*o - b = -0*b - 3, 0 = 5*b + 41 - 11 for o.
-3
Solve 2317 = -2*x - 5*f + 2297, 0 = 4*x - 2*f + 64 for x.
-15
Solve 5*q = 13*f + 38 + 34, 6*f + f - 8*f = q for f.
-4
Solve -38 = 4*n - 2*g - 26, 5*n + 15 = -2*g for n.
-3
Solve -8*u + 195 - 167 = -2*y, -49 = u + 26*y for u.
3
Solve 0 = -5*j - 5*z - 2 - 33, -2*j + 2*z - 171 = -173 for j.
-3
Solve 2*w + 11 = y, y + 117 - 110 = -4*w for y.
5
Solve 5*c = b + 15, 11*c - 80 = 2*b - 7*b - 11 for c.
4
Solve 0 = 5*i - 547*p + 548*p - 42, 2*p = 4 for i.
8
Solve -204*f - 56 = -211*f, 0 = -h + 2*h - f + 13 for h.
-5
Solve 3*s + 28*m - 30*m + 2 = 0, m = s + 2 for s.
2
Solve 5*f - 4*h + 16 = 0, -5*f + 113*h = -30*h + 572 for f.
0
Solve -2*o + 121*f - 122*f - 11 = 0, -2*o - 12 = 2*f for o.
-5
Solve 4*h - s = -12, 61 = 4*s - 2*s + 37 for h.
0
Solve 0 = -17*a + 12*a + 2*s - 59, 4*s = -2*a + 58 for a.
-5
Solve -5*t = -4*o + 44, 5*o - 8*t = -3*t + 45 for o.
1
Solve -2*l + 2*a = 16, 428*l - 5*a - 216 = 455*l for l.
-8
Solve -4*p - 116 = 4*d - 80, -3 = -d + 2*p for d.
-5
Solve -5*p = -z - 5, -1263*z = -5*p - 1259*z - 10 for p.
2
Solve t + 4*y = 0, -695*t + 690*t + y = 0 for t.
0
Solve 3376*b = 3380*b + 3*f - 80, 2*f = -b + 20 for b.
20
Solve -5*x = -4*y + 26, 9227*y - 11 = 9232*y + x for y.
-1
Solve 7*t - 53 = -4*p, 114*p = -2*t + 117*p - 18 for t.
3
Solve 105*f - 54*f = 55*f + 2*u, -3*u - 6 = 0 for f.
1
Solve 3*w - 13*w + 42 = -4*s - 178, 4*s + w = 0 for s.
-5
Solve -3*r + 1 = -2*s, -212*r = -216*r + 4*s + 8 for r.
-3
Solve -3*w + 2*d = -53, 2*w = -440*d + 434*d + 28 for w.
17
Solve -28 = 4*h - f - 35, 3*h = 6*f - 21 for h.
3
Solve -253115*x = -253114*x - 5*j - 1, 5 = 5*x - j for x.
1
Solve 40*u + 3*i + 3 = 44*u, u = -5*i - 28 for u.
-3
Solve 3*f - 5*u = 41, -5*f - 54*u = -49*u + 25 for f.
2
Solve -240*x + i + 16 = -245*x, -5*i = 3*x + 14 for x.
-3
Solve 0 = -z - m + 49 - 52, 6*m - 7 = -z for z.
-5
Solve -p = -5*n - 1415 + 1380, -2*n = 3*p - 3 for p.
5
Solve -2*w + 1 = 3*s, 0 = 5*w + 4*s - 7 - 6 for w.
5
Solve | {
"pile_set_name": "DM Mathematics"
} |
/(-6). Let o = 6725/777 + s. Calculate the common denominator of o and -34/7.
21
Suppose a + q = 4*q + 21, -5*q - 55 = -5*a. Calculate the lowest common multiple of 7 and a.
42
Let s = -2 + 4. Suppose 0 = -u - h, -4*u + s*u - 2 = 3*h. Suppose -16 = -u*f - 2*f. What is the lowest common multiple of f and 22?
44
Let j be ((-566)/6)/(4/36). Let u be j/2*11/3. Let y = u - -1586. Find the common denominator of 87/10 and y.
10
Suppose -5 = -2*b + 5. Suppose -10*f + 180 = -b*f. Calculate the smallest common multiple of f and 6.
36
Suppose -3*z + g - 5*g = -13, g - 16 = -5*z. What is the least common multiple of 7 and z?
21
Let r be (0 + 1)*8/4. Suppose 3*k + 3 = -3*u, -3*u = 2*k + r*k. Calculate the lowest common multiple of u/6*3 + 9 and 8.
56
Let c(m) = m**3 + 5*m**2 - 8*m - 9. Let h = -9 - -9. Suppose -5*j - 2*f + 9 = h, f + 5 = -j + 4*f. What is the lowest common multiple of c(-6) and j?
3
Calculate the least common multiple of 18 and 20/6*((-84)/5)/(-2).
252
Let x be -6 + 5 + 121*1. Find the common denominator of -61/18 and -3 - 39/x*-2.
180
What is the smallest common multiple of 3 and -3 + -9*(16/(-6))/4?
3
Let d(t) = -2*t**2 - 10*t - 8. Let k = -23 - -16. Let c be d(k). Find the common denominator of 0/(-2) - (-76)/c and 28/5.
45
Let q = -22/629 - -70435/17612. What is the common denominator of -3/44 and q?
308
Let n = 73/19 + 689/152. Find the common denominator of n and 2/(-4)*4/3.
24
Let n = -1164454829/18 - -64673262. Suppose 9608 + 27750 = 2*h. Let f = n + h. Find the common denominator of f and 53/8.
72
Suppose 2*d = 2*q - 66, 16 = -5*q + 3*d + 189. Suppose 0*y - 40 = 5*y. Calculate the common denominator of (-154)/(-24) - 2/y and q.
3
Let u = -49983/2 - -24507. Let c = u + 517. Find the common denominator of c and 47/8.
8
Let p(f) = 7*f**2 - 1. Let q be ((-4)/(-6))/((-8)/(-48)). Let a(n) = 2*n - 5. Calculate the lowest common multiple of p(1) and a(q).
6
Suppose 5*c - 2*p - 5 = -5*p, -4*c - 5*p = 9. Calculate the common denominator of 49 and c/14 + (-88)/(-35).
5
Suppose 3*a + 4*c - 2*c = 0, -3*c = -5*a + 19. Suppose 0 = 6*i - 4 - 8. What is the least common multiple of i and a?
2
Let o(y) be the third derivative of -y**5/60 + 7*y**4/24 - 5*y**3/6 + 3*y**2. Calculate the least common multiple of 7 and o(5).
35
Let p = 2421/20 + -121. Let c = 9 - 39. Calculate the common denominator of p and (-3)/12 + 57/c.
20
Let i = 12/127 - -6453/254. Let g(q) = 5*q - 20. Let a be g(10). Find the common denominator of (-28)/3*a/(-110) and i.
22
Let c be (-28)/(1/(-2) - -1). Calculate the common denominator of (-481)/c + (-8)/(-28) and 71/16 - (-1 + 0).
16
Let x = -10 - -12. Calculate the least common multiple of 4 and x.
4
What is the common denominator of -131/6 and (9/3)/(-1) - 287/(-196)?
84
Find the common denominator of 186/32 - 12/8 and -85/2.
16
Let a be (-2)/8*2*0. Suppose a = -p - 4*t + 6, -2*p + 0 = 4*t - 8. Calculate the least common multiple of -1 + 0 - (-22 - -1) and p.
20
Let r = 206/27 - 1375/54. Calculate the common denominator of -47/22 and r.
66
Suppose 3*p - 123 = -2*j, -2*p = 3*j - 2*j - 62. Suppose c - 32 = -3*c. Calculate the smallest common multiple of c and ((-2)/6)/((-4)/j).
40
Let m(k) = 23*k**2 + k - 2. Let w be m(-3). Find the common denominator of 1/(-12)*1*w and 2 + -1 - (-23)/14.
42
Let v = -2/1407 - 26689/30954. What is the common denominator of v and 19/22?
22
Suppose -3 = -2*x - 1. Let q be -32938*3/(-72) - x. Let s = q + -1384. What is the common denominator of s and -89/2?
12
What is the least common multiple of 8*(-6)/(-120) + 28/5 and 8?
24
Suppose 5*a = -4*r + 36, -6*a = -5*r - a. Suppose -2*k - 4*n + 3*n = -6, -5*k + 21 = n. What is the least common multiple of k and r?
20
Let j = -669 - -8035/12. Calculate the common denominator of 1/6 and j.
12
Let z = -6 - -14. Find the common denominator of 81/10 and 1 + 3*76/z.
10
Calculate the smallest common multiple of ((-20)/30)/((-2)/48) and 10.
80
Let p(l) = -l**3 + 7*l**2 - 10*l. What is the smallest common multiple of p(4) and 24?
24
Let u = 41055/22 + -1867. Calculate the common denominator of u and 109/10.
110
Calculate the common denominator of 1*63/(-6)*15/(-10) and (-2)/(-7) + 426/28.
4
Suppose 4*j + j = 30. What is the lowest common multiple of 8 and (j/(-2))/(9/(-24))?
8
Let k = -47903/12 + 3988. What is the common denominator of k and -35/12?
12
Let y be 3/(-9) + (-16)/(-3). Let v(j) = 3*j - 3. Let c(l) = 2*l - 8. What is the lowest common multiple of c(7) and v(y)?
12
Let x be 2/(1 + (-23)/25). Let h = -16 + x. What is the lowest common multiple of 10 and h?
90
Calculate the common denominator of -1 + (-286)/40 + 83/332 and (42/20)/(36/10).
60
Find the common denominator of 63/4 and (-1)/5 - 452/(-40).
20
Suppose 0 = 2*c + 1 - 7. Let a be (4 - c/1) + -1. Suppose a = 4*s - 5*s + 6. What is the lowest common multiple of s and 18?
18
Let p(j) = 31*j**3 + j**2 + 2*j + 1. Calculate the common denominator of -91/32 and p(-1).
32
Calculate the least common multiple of 6 and (-295)/(-25) - (-3)/15.
12
Let z(k) = -k + 7. Let r be z(17). Let s(l) = -4*l - 25. What is the lowest common multiple of 5 and s(r)?
15
Let y(x) = x**2 - 7*x - 3. Let c be y(6). Let v be ((-652)/10)/((-2)/10). Calculate the common denominator of 7/10 and v/24 + (-6)/c.
20
Let g = 851/2 - 456. Find the common denominator of g and ((-1)/18)/((-8)/708).
12
Let b(d) = d. Calculate the least common multiple of b(6) and 48/18*(-27)/(-4).
18
Let h = 38/125 - -9973/500. Find the common denominator of (-3)/(-9) + (-56)/(-30) and h.
20
Suppose 0 = -4*b - 120389 - 3315. Let y = b - -1484551/48. What is the common denominator of 39/2 and y?
48
Let w(j) = j**3 + 4*j**2 - 7*j - 4. Let o = -25 - -33. Calculate the lowest common multiple of w(-5) and o.
24
Let p = 2501 - 7222/3. Let t = p - 1013/12. What is the common denominator of t and -37/28?
28
Let z = 9/61 + 721/488. What is the common denominator of z and -9/4?
8
Let d be 2/(-7) + 3104/10570. Let c = 17329/4530 + d. Calculate the common denominator of 86/15 + 4/6 and c.
30
Find the common denominator of 4365/108*4/10 and 119/6.
6
Find the common denominator of 2*-1 + (-402)/(-42) and -29/10.
70
Calculate the least common multiple of 3/(-18)*-22 - 2/3 and (10/4 - -1)*2.
21
Let r be (-8)/28 - (-102)/14. Let i(b) = -b**2 + 8*b + 7. Let a(o) = o**3 + 6*o**2 + 4*o + 2. Calculate the least common multiple of i(r) and a(-2).
70
Let k = -7 + 9. Let l = -4 - k. Calculate the common denominator of -39/8 and ((-4)/l)/(16/(-462)).
8
Let y be 1 + (-1845)/(-84) - 0. Let v = 11/14 + y. Find the common denominator of 6/(-1 - 50/38) and v.
44
Let i = 2/9587 + -163007/134218. Calculate the common denominator of i and 57/52.
364
Let f be (-2)/(6/(-15)) - -1. Calculate the common denominator of -7/6 and f/8*(-484)/54.
18
Let n(x) = x**2 + 12*x - 14. Calculate the smallest common multiple of n(-14) and 32.
224
Let q = 7 - 10. Let h be (-13)/q + (-4)/(-6). Suppose -5*b = -h*z + 80, -5*z = 3*b + b - 62. Calculate the least common multiple of 20 and z.
140
Suppose -16 = -3*c - 4*s, -c - 20 = c - 5*s. Let i = c + 6. Calculate the smallest common multiple of i and (5*2/10)/(2/4).
6
Suppose 4*t + 17 = -o, t + 5*o + 10 = -4*t. Let n(h) = h**2 + 4*h + 1. Calculate the lowest common multiple of n(t) and 8.
24
Let p be (1 + -2)*0 - 8. Let d(l) = -l**2 - 9*l + 4. Calculate the smallest common multiple of d(p) and (-6)/5*(-20)/6.
12
Let g = -8 - 26. Find the common denominator of (0 + g/(-10))*1 and 89/8.
40
Suppose -137 = 2*h + 273. Let x = h + 393/2. Let o = 4/2007 + 54133/28098. Calculate the common denominator of x and o.
14
Let x = -277 + 1099/4. Find the common denominator of 69/8 and x.
8
What is the lowest common multiple of 3/(-3)*(6 - 28) and 22?
22
Let k be 2 - (0/2)/(-1). Suppose -k*w - 44 = -4*w. Calculate the smallest common multiple of 14 and w.
154
Calculate the smallest common multiple of 16 and (-1)/((-12)/(-14) + -1).
112
Let a = 412 - 160. Suppose a = 3*j - 21. Calculate the common denominator of -115/14 and -1 - -2 - j/12.
84
Let o = -132/25 + 99/50. Find the common denominator of 31/6 and o.
30
Let i be (-10)/(-84)*(-8)/470. Let c = -81917/1974 + i. What is the common denominator of c and 4/(-14) + (-118)/77?
22
Calculate the lowest common multiple of 14 an | {
"pile_set_name": "DM Mathematics"
} |
322 - (-6)/(-21). Suppose 4*x - 3*n - 132 = -329, 3*x = 4*n - 139. Let l = -52 - x. Are b and l equal?
False
Suppose -19*n + 302 = -18*n. Let z = 353 + -52. Is z < n?
True
Let m be -4 + (951120/12525)/16 + 8/(-10). Which is greater: -2 or m?
m
Let m = 162/469 + -1230673/1407. Let x = 106004675 + -23214832348/219. Let r = m + x. Is r <= -1?
False
Suppose 3341 = -27*s + 1235. Let q(y) = -y**2 + y + 2. Let g be q(-5). Let w be (2260/g - -3) + (-6)/21. Is s > w?
False
Let r = 18000 - 18001. Is r greater than or equal to 6/6185?
False
Suppose -11*k = 13*k + 2*k. Let o be ((-5)/((-10)/12))/((-92)/20). Which is smaller: k or o?
o
Let a = -56 + 58. Suppose 4*z + 12 + 7 = 5*c, a*c + z - 5 = 0. Is c >= 28?
False
Let k = -458 + 2172. Which is greater: 1713 or k?
k
Let y = -812 + 1139. Suppose -297 + y = 5*r. Which is greater: 2 or r?
r
Let r be (-212)/8 - 6/(-4). Let f be (-16 + 50/3)*75/(-2). Is f bigger than r?
False
Let y(h) = -h**3 + 28*h**2 - 54*h + 51. Let o be y(26). Let v(l) = -33*l**3 + 8*l + 7. Let p be v(o). Which is greater: 34 or p?
34
Let o = 20.918 - 0.218. Let q = o - 18.7. Is 2/5 smaller than q?
True
Let i(j) be the first derivative of 2*j**3/3 - j**2/2 + j - 5. Let m be i(1). Let o be (408/17)/(-2*1/m). Is o less than -24?
False
Let d be (24/18)/((-1)/21). Let p be (42*(-40)/(-30))/(1*-2). Let z = d - p. Is 1/11 less than z?
False
Let y be 1/(2/(-1) + -247). Let x be (-64)/(-112) - 3327/1743. Let q = y - x. Is q smaller than 0?
False
Suppose -19*x = -26*x + 21. Let b be (368/72)/(1 - x). Which is smaller: -4 or b?
-4
Let n = 317 + -316. Suppose 65 = -z + n. Is -66 smaller than z?
True
Let m = 3.8629 + -3.89. Let l = m - -0.0321. Are l and -0.4 non-equal?
True
Let a = 102 - 117. Let z be (-35)/(-45) - a/(-3). Which is greater: z or -4?
-4
Let i = 0.042 - -3.058. Let w = -5.5 - i. Let a = -8.5 - w. Are a and 0.31 nonequal?
True
Let t be 2/(4 - (-77)/(-66)). Let j(v) = 2*v**2 - 5*v**3 + 4*v**3 + 1 - 3*v**2 + 2*v**3. Let p be j(1). Is p <= t?
False
Let g = -78.4 + -8.6. Let t = -0.1099 + 75.1099. Let w = g + t. Which is bigger: w or 0.2?
0.2
Let k = -4477 - -192486/43. Let y = 791/473 + k. Let q = 61937 + -61937. Is q smaller than y?
True
Let o = 685 + -682. Which is smaller: 130/77 or o?
130/77
Let s(z) = 230*z + 2206. Let h be s(-11). Do h and -323 have the same value?
False
Suppose -10 = 65*s - 67*s. Suppose -3*d = 5*z + 519, s*d + 865 = -4*z + z. Is d at most as big as -174?
False
Let p(u) = -24*u**2 + 54*u + 218. Let z be p(13). Which is greater: z or -3139?
z
Let g = 382 + -250. Let w(f) = 2*f**2 - 4*f + 4. Let n be w(3). Suppose 2*p + n*p - g = 0. Which is bigger: 45/4 or p?
45/4
Suppose 0*j + 3*j = 0. Suppose j = 2*w + 93 - 149. Let r be (-9)/(-6)*w/6. Is r equal to 9?
False
Let v(b) = -11*b**2 - 273*b + 2221. Let y be v(8). Which is smaller: y or -673?
-673
Let g be 0/(-225)*1/(-4). Is g greater than -17/996?
True
Let k(w) = w**2 - 6*w - 5. Let a be k(5). Let h(g) = 6*g**2 - 5*g - 11. Let u(f) = -f**2 + f + 1. Let s(v) = -h(v) - 5*u(v). Let z be s(-4). Are z and a equal?
True
Let i be (-6)/27 + (-110)/(-9). Let c be (-2)/(-4)*-1*-110. Suppose 2*z + m - c = 6*m, 25 = -5*m. Which is smaller: z or i?
i
Let s(j) be the second derivative of -2*j**3/3 + j**2 + 3*j + 2. Let r be s(4). Which is smaller: r or -20?
-20
Let k be 4/7*56/(-16). Let p be -19 + k*3/2. Suppose -3*c - 144 = 3*c. Is p < c?
False
Let l(p) = -727*p - 3387. Let c be l(19). Which is bigger: c or -17199?
-17199
Let l = -10447 - -10339. Which is smaller: -120 or l?
-120
Let z be 18/(-2) + (-58695)/(-6405). Is 1.2 < z?
False
Let t = 0.5188 - -0.7812. Which is bigger: t or -2/267?
t
Let z = -1068 + 1193. Is z at least as big as 751/6?
False
Let y = -52405 - -52413. Let v = -5 + 8. Which is smaller: v or y?
v
Suppose 164*r - 165*r - 4*d - 5 = 0, 0 = -r + 3*d + 2. Does r = -3/614?
False
Suppose -2*x + 0*x - 5*o = -55, x - 2*o - 5 = 0. Let z be ((-2)/(-15))/(153/x). Suppose 506*f - 503*f + 27 = -3*j, 5*f + 3*j = -29. Is f less than z?
True
Let i = -826 - -1765. Is 939 less than or equal to i?
True
Let v = 161001/161 + -1000. Let j be (-1)/1*(103 + -103). Which is smaller: v or j?
j
Let h be (-387418)/174 - 6/9. Let i = 2227 + h. Suppose 2*m + 11 = 9. Is m at most as big as i?
True
Let k = 14596 - 68177911/4671. Does -1 = k?
False
Let w = -45 - -23. Let h = -0.88 - 58.12. Let l = h - -59. Is l > w?
True
Let p = 283.82 + -284.82. Does p = -1108/5?
False
Let d = 71634/13 - 5513. Is d equal to -4?
False
Suppose 4*c - 2*c = -114. Let u(g) = 16*g + 5. Let q be u(0). Suppose -3*b - 5*w - 13 = 146, -q*b - 302 = -4*w. Is b at least as big as c?
False
Suppose k + y - 44 = 0, -3*y - 233 + 29 = -5*k. Suppose k*h = 33*h. Which is smaller: -12/11 or h?
-12/11
Let o = 6 + 2. Suppose -2*t - 6 + 2 = -5*w, -8 = -4*w. Suppose u = -4*y, o*u - 15 = -5*y + t*u. Which is greater: 1/21 or y?
1/21
Let v = 16710 + -16710. Which is greater: 4905 or v?
4905
Let q = -10635.11 - -10687. Let z = q - -0.11. Is -0.3 greater than z?
False
Suppose -5*j - 2 = 13. Let q = j - -2. Let k be ((-33)/9)/((-60)/(-36)). Which is smaller: q or k?
k
Let r be 4/(-14) - (6 + 450/(-7)). Let o = 2 + r. Let x = 151 + -91. Is o <= x?
True
Let y(b) = 12 + 60 - 3 - 8*b + 3. Let j be y(9). Which is smaller: j or -7/11?
-7/11
Suppose 4*c - 3*c = 3*o, -3*o - 5*c = 0. Let k be -1 + 8 + o - (12 + -14). Let m be 0 + 3 - 370/(-60). Which is smaller: k or m?
k
Let v(n) = -204*n**2 + 27*n + 37. Let q be v(-3). Which is smaller: q or -1879?
q
Let k(u) = -2*u - 5. Let j(o) = -o**2 + 7. Let c be j(-3). Let f be k(c). Let b = 221/3 + -889/12. Is f at least as big as b?
False
Let p = 874437/3668886590 - -3/303565. Which is smaller: p or 1?
p
Suppose 3*l + 145 + 17 = 0. Let k be (l/144)/((-2)/16). Suppose -8*t - 24 = -9*t - 3*y, 0 = -k*t - 3*y + 60. Which is greater: 37/2 or t?
37/2
Let j = 5770 - 7321. Is j less than or equal to -1551?
True
Let r be (172 - 4)/4 - 49. Suppose 5*i = 2*z - 46, -3*i + 3*z = 43 - 10. Which is bigger: i or r?
r
Let l = 4.332 - 4.432. Which is bigger: 1001 or l?
1001
Let k be ((-9)/(3996/3318) - -8)*(-4)/10. Does 0 = k?
False
Let g be (-2)/3 - 24/(-9). Suppose 2*b - 6 = y, -3*y - b = g + 2. Let i(j) = j**2 - 2*j - 16. Let f be i(5). Is f < y?
False
Suppose -4*c - 15 + 3 = 0. Suppose -5*a = -4*z, -6*z + 3*a = -7*z. Suppose -4*x + 5*s - 28 = 7*s, -x + 4*s - 7 = z. Is x >= c?
False
Suppose 0 = -17*t - 84 + 67. Let c be (-118)/266 + (-6)/(-21). Which is bigger: c or t?
c
Suppose 0 = -126*a - 2440 - 8396. Is a >= -932/11?
False
Let a = 52 - 45.3. Let v = a + -6.7. Are -117 and v equal?
False
Let o(w) = -w + 61. Let m be o(13). Let t = m + 29. Which is smaller: 78 or t?
t
Let m be (12/5595)/(31/1860). Is -1 greater than m?
False
Let g be ((-11)/(-33))/((-2)/(-1074)). Let b = g + -169. Is b < 12?
True
Suppose -2*f + 3*f = 3. Let z(t) = 123*t + 3076. Let x be z(-25). Suppose f*p + 13 = -4*a, 2*a - 3*a - x = 0. Is -3/2 > p?
True
Let s be (-8 + 2)/(-2)*(-1631)/(-147) - 6. Which is smaller: 26 or s?
26
Let v be (12/(-5))/((-75)/1250*-2295). Is -1 greater than or equal to v?
False
Suppose -5*m + 2*q + 47 = 0, -3*m + 21 + 5 = q. Suppose c + 13 + 6 = -5*h, -3*h - m = c. Suppose -d = -c*d. Which is smaller: d or 3?
d
Let u be ((-9900)/1815)/(3/(-22)). Let o = 3 + 1. Let s be o/105*u/272. Is 0 less than or equal to s?
True
Let v = 44.26 + -46. Let k = -39.26 + v. Is 0.1 at most as big as k?
False
Suppose 13*j + 28*j = -82. Let c be 0/j + (280/(-9))/7. Which is greater: -3 or c?
-3
Let r(p) = -13*p + 22. Let v be r(8). Let q = v + 116. Suppose 7*t = 9*t + q. Is t greater than -31/2?
False
Let q(i) = 625*i**2 - 20*i - 13. Let c be q(-2). Does c = 2527?
True
Suppose 0 = 2*m + 3*x - 9 - 17, m = -5*x + 6. Suppose 1639 = -m*b - 1753. Is b at least as big as -213?
True
Let k = -0.6638 - -0.0328. Let f = 0.852 + k. Which is greater: f or 2/5?
2/5
Let d = -307 - -311. Let k be 6 + -5 - 14/d. Let u be ((-1)/(-5))/(-1 + 0). Which is bigger: u or k?
u
Let p = 219.394 + -219. Let x = -0.406 - p. Is x greater than 4?
False
Let t(b) = -b**3 - 3*b**2 + 2*b + 1. Let n be t(-4). Suppose 8*h - 1218 = -1146. Let d = h - n. Which is bigger: d or -3/13?
d
Let r = -68.379 - -1.379. Which is smaller: r or -7?
r
Suppose 5*t - 2 = 4*i, 19*i - 22*i - 4 = | {
"pile_set_name": "DM Mathematics"
} |
divide c?
True
Let d(j) = -90*j - 32. Let v be d(-9). Suppose -250 + v = 4*o. Does 33 divide o?
True
Suppose -5180 = -10*q - 4*q. Is 37 a factor of q?
True
Suppose 3*d - d = -z + 135, d + 5*z - 90 = 0. Does 8 divide d?
False
Suppose j = -j. Suppose -5*i - 3*p + 319 + 1 = j, -2*i + 102 = -4*p. Let u = -21 + i. Is u a multiple of 11?
False
Let w(d) = d - 10. Let n be w(3). Let v = -13 - n. Is 4 a factor of v/(-4)*32/4?
True
Let z(x) = -2*x**2 + 21*x - 20. Let r be z(9). Suppose 9 = 2*u - 3. Suppose 20 = -u*g + r*g. Is g a multiple of 7?
False
Let g = -1698 - -6354. Is 24 a factor of g?
True
Suppose 784 = 361*t - 357*t. Is 49 a factor of t?
True
Suppose v = -2*v + 4*x - 20, 0 = -2*v - 4*x + 20. Suppose 5*a - 4*a + 3*h - 23 = v, -4*h = 0. Suppose 61 = 2*g + 7*k - 2*k, g - a = -4*k. Is 12 a factor of g?
False
Suppose -2*d = -5*b + 1562, -4*b - 4*d + 1247 = -3*d. Does 11 divide b?
False
Let j(h) = -h**2 - 9*h + 3. Let v be j(-3). Let k = 101 - v. Does 9 divide k?
False
Let f be 2 - (-2 + 2*2). Let a(y) = y**3 - 8*y**2 - 8*y - 7. Let b be a(9). Suppose -3*p + b*p + 18 = f. Is 14 a factor of p?
False
Suppose l - 6*l - 3*f = 72, -5*f = -5*l - 40. Let p be 9/l + 6/8. Suppose w - 4*w + 31 = 2*h, 4*h + w - 77 = p. Is h a multiple of 15?
False
Let v be (-14)/91 - 1172/(-13). Let l = 18 + v. Does 32 divide l?
False
Let w be (21/6 + 1)*2. Let h = w - -55. Is h a multiple of 32?
True
Let t(c) = 11*c + 7. Let p be t(-1). Is 11 a factor of 62/(-4)*(p + -2) - -3?
False
Let x(d) = -d**3 - 16*d**2 + 17*d + 6. Let q be x(-17). Suppose 0 = -3*v + q + 81. Suppose 3*k = 127 + v. Does 26 divide k?
True
Suppose 3 = 4*o - 1, -x - 8 = 2*o. Let v = x + 40. Is 116/10 - v/(-75) a multiple of 2?
True
Let p(z) = 3*z + 7. Let s be p(0). Suppose s*w - 4*w - 4*j = 514, 5*j = -3*w + 532. Is w a multiple of 50?
False
Suppose -2*r + 10 = 3*r - 5*o, -3*r - 5*o + 22 = 0. Suppose r*y - 2*b + 51 = 247, 2*b = 5*y - 245. Does 5 divide y?
False
Let h(v) = 7*v**3 - 3*v**2 + 10*v - 3. Let i(w) = 21*w**3 - 10*w**2 + 31*w - 9. Let n(p) = 7*h(p) - 2*i(p). Is n(2) a multiple of 15?
False
Let g(p) = 9*p**2 + 4*p + 11. Does 7 divide g(-7)?
False
Let v(k) be the first derivative of -k**3/3 + 6*k**2 + 7*k + 7. Does 6 divide v(9)?
False
Let k = 23 + -20. Suppose 4*i = -k*o + i + 36, 0 = 4*i. Does 14 divide (o + -3 + -1)*7?
True
Let w(y) = -y**3 - 10*y**2 - 7*y + 5. Let f be w(-9). Let l = -8 - f. Suppose -l*x - 2*z = -46, -x + 4*z - 6 = -2. Is x a multiple of 4?
True
Suppose -6*t + t = -210. Let r be ((-18)/4)/((-2)/16*6). Let l = r + t. Is 16 a factor of l?
True
Let a(x) = 13*x**2 + 2*x. Let w be a(4). Suppose -2*t = -w + 24. Is t a multiple of 8?
True
Suppose -i - 2*i = 4*k - 161, 5*k - 225 = i. Let u(h) = -9*h - 8. Let j be u(-9). Let o = j - k. Is 29 a factor of o?
True
Suppose 5*z - 2*c - 187 - 95 = 0, 2*z = 4*c + 100. Let t = z + -15. Is 8 a factor of t?
False
Suppose 3*t - 3626 = -j + 310, -5*t - 2*j + 6559 = 0. Is 13 a factor of t?
True
Let t(i) = -4*i + 37. Is 7 a factor of t(-13)?
False
Is -1 - (17014/(-18) - (-92)/414) a multiple of 50?
False
Suppose -2*q + g + 265 = 0, q + 3*g - 27 = 123. Suppose -3*u + 5*l + q = 2*u, 2*l - 90 = -4*u. Is 15 a factor of u?
False
Let y(s) be the second derivative of s**4/3 + s**2 - 14*s. Does 11 divide y(4)?
True
Let r(z) = 2*z**3 + z**2 - 3*z + 3. Let m be r(2). Let c = 27 + m. Suppose -3*a + c = a. Is a a multiple of 8?
False
Suppose 3*g - 2*g = -4*k + 6, 5*g + 4*k = 30. Let t = 13 - g. Is 2 a factor of t?
False
Let z = 290 - 232. Is 21 a factor of z?
False
Suppose -22*w + 19*w = -90. Is w a multiple of 6?
True
Let p(n) be the first derivative of n**6/120 + n**5/5 + n**4/3 + n**3 + 5*n**2/2 - 1. Let g(c) be the second derivative of p(c). Is g(-11) a multiple of 9?
False
Is (-641 + -6)/((3 - 4)*1) a multiple of 21?
False
Let q = -149 - -443. Is q a multiple of 16?
False
Let t = -1690 + 1924. Is t a multiple of 3?
True
Suppose -2*i + 828 = -774. Is 3 a factor of i?
True
Suppose -2*g + 5*x - 35 = 9, -x - 8 = g. Is g/18 + 8/(-3)*-49 a multiple of 31?
False
Let q(i) = 2*i**2 - 2*i + 9. Suppose -2*o = -0*o - 20. Suppose o*r = 13*r - 12. Does 11 divide q(r)?
True
Suppose 3*c + 167 = 689. Suppose c = 34*t - 31*t. Is 30 a factor of t?
False
Let j(x) = 36*x. Suppose h = -3*h + 16. Suppose v - h = -3*v. Does 12 divide j(v)?
True
Suppose -55 + 10 = -5*w. Let d = 21 + w. Is d a multiple of 6?
True
Suppose -3*b + 4*b - 60 = -r, 0 = -3*r. Suppose 0*p - 5*p = -b. Is p a multiple of 5?
False
Let n be (-14)/(-8) + 18/(-24). Suppose -4*k + 5*f = -22 + 3, 2*f = -5*k - n. Suppose 0 = -3*h - o + 14 - k, 0 = -2*o + 2. Is 2 a factor of h?
True
Let j(d) = -6*d + 21. Let y be j(2). Let o(q) = -q**3 + 8*q**2 + 15*q + 22. Is 38 a factor of o(y)?
True
Let v(u) be the first derivative of u**2/2 + 3*u + 2. Is 3 a factor of v(13)?
False
Suppose 3*h = 3*k - 825, 5*k - 1030 - 361 = h. Suppose u - 5*u = -2*j - 254, 4*u - k = -3*j. Is u a multiple of 11?
True
Let n = 72 - -112. Is 40 a factor of n?
False
Let z(u) = -u**2 - 7*u + 5. Let x be z(-8). Let n(h) be the second derivative of -31*h**3/6 + 11*h**2/2 - 6*h. Is 25 a factor of n(x)?
False
Suppose -4*y - 4*k + 1204 = 0, -4*k + 1505 = 5*y - 9*k. Does 7 divide y?
True
Suppose -3*b - 19 = -124. Does 10 divide (24/(-42))/((-2)/b)?
True
Suppose -5*l + 1010 = 5*d, -2*d - l + 410 = 4*l. Does 5 divide d?
True
Let w(v) = -2*v**2 - 17*v - 16. Let s be w(-7). Suppose s*f = -2*b + 163 + 147, -20 = -4*b. Is f a multiple of 4?
True
Is 41 a factor of (-4)/(-42) - 283175/(-987)?
True
Let r(j) = 8*j**2 + 5*j - 34. Is 3 a factor of r(4)?
True
Let f = 13 - 24. Let u be 1/((28/128)/7). Let k = u + f. Does 7 divide k?
True
Suppose -d + 38 = 4*q, 0 = -4*d + 5*q - q + 132. Let h be 3*d/3 - 1. Let v = h - 27. Does 3 divide v?
True
Suppose -5*w - k = -305, 5*w - 295 = -0*w + k. Let f = w - -72. Is 22 a factor of f?
True
Let q(v) = v**3 - 34*v**2 + 14*v - 13. Does 13 divide q(34)?
False
Let y = 24 - 18. Let w(u) = -u + 0*u**2 + 1 + u**2 - y - 6. Is w(8) a multiple of 15?
True
Is 9 a factor of (12/2)/((-1)/(-57) + 0)?
True
Suppose 0*o - 228 = 3*o. Let f = 128 + o. Does 13 divide f?
True
Suppose i = 17 - 12. Let w = -21 + i. Let c = 42 - w. Does 9 divide c?
False
Suppose -5*o + 760 = -3*o. Let i = o + -200. Is 15 a factor of i?
True
Let x be (-1)/(-3)*(6 + 0). Suppose 4*y = x*h + 12, 0*y - 4*h = -2*y + 6. Let f(c) = -c**3 + 5*c**2 - 2*c - 4. Does 8 divide f(y)?
True
Suppose 5*b - 1973 = -4*o, -o + 13 + 476 = -3*b. Suppose 3*u + q - o = 4*q, u - 2*q = 166. Suppose 0*z = -3*z + u. Is z a multiple of 22?
False
Let o be (0/2)/((-2)/(-2)). Let j(l) = o*l**2 - 7 + l**2 + 5 + l. Does 6 divide j(-5)?
True
Let l(h) = 3*h**2 - 9*h + 36. Does 4 divide l(-13)?
True
Let d(x) = x**3 + 7*x - 4. Does 11 divide d(4)?
True
Suppose 575*q - 578*q = 3*o - 9576, q - 6384 = -2*o. Is o a multiple of 38?
True
Suppose -f = 4*l - 208, 126 = 4*l - 2*l - 5*f. Suppose -l - 46 = -c. Is 33 a factor of c?
True
Let s(g) = g + 0*g + g - 115*g**3 - 13*g**3. Does 21 divide s(-1)?
True
Let s be (-173)/(-7) - 10/(-35). Suppose 2*p - s = -1. Let j = p + -6. Is j a multiple of 2?
True
Suppose -3*q + 1179 = 5*r - 694, 4*q = 2*r + 2532. Does 31 divide q?
False
Suppose 0 = d - 3*a - 41 + 9, -4*d + 4*a = -88. Does 13 divide (-78)/(-18)*(-2 + d)?
True
Suppose 5*x + 5*u = 2865, -7*x - u + 1725 = -4*x. Does 12 divide x?
True
Let b(x) = -3*x. Suppose -5*r = -4*s - 7, -1 = 3*s - r - 4. Suppose 22 = -s*t + 3*i - 2, -5*i - 10 = 5*t. Is b(t) a multiple of 9?
True
Suppose 125 = -5*c + 10*c. Let x = c - 20. Suppose -x*z + 84 + 56 = 0. Is 7 a factor of z?
True
Suppose 0 = -3*h + 2*h - 4. Let u be h/12 + 11/(-3). Is 15 a factor of 60/(u*1/(-4))?
True
Suppose -4*a = -3*j - 17 - 17, -a + 5*j = 0. Let z be 13/2 - (-5)/a. Suppose 8*b - 14 = z*b. Does 14 divide b?
True
Let w = 8 + -14. Let g = w + 8. Suppose 0 = -g*n + 25 + 101. Is 15 a factor of n?
False
Let k(g) = -g**3 - 9*g**2 - 3*g - 9. Let d(i) = 2*i**3 + 18*i**2 + 5*i + 17. Let w(t) = -2*d(t) - 5*k(t). Does 7 divide w(-8)?
True
Suppose 4*f - 4*g = 16, 17 = 2*f + f + 2*g. Suppose f*b = n - 0*b - 18, 20 = 3*n + 2*b. Is n a multiple of 3?
False
Let w = 43 - 41. Suppose w*z - 93 = 255. Does 34 divide z?
False
Let s = 9 + -9. Is (s/(-4) + 11)*10 a multiple of 40?
Fals | {
"pile_set_name": "DM Mathematics"
} |
2))**(1/60)/((t*t/(t/(t*t/(((t**0/t)/t*t*t)/t))))/((t/(t**(-6)/t))/t*t)))**14 assuming t is positive.
t**(679/12)
Simplify ((p**(-17)/(p**(2/13)*p))**(-2))**(-28) assuming p is positive.
p**(-13216/13)
Simplify (h**(-4/5))**30*(h/(h/h**13)*h)**(-1/60) assuming h is positive.
h**(-727/30)
Simplify q/(q*q*q*q/q**(5/9)*q)*q*q**20*q*q*q*(q*q**(8/11)*q)/(q*q*q**31) assuming q is positive.
q**(-962/99)
Simplify ((f*f**(-3/2)/f*f/(f/(f*(f/(f*f**5))/f)*f))**20)**(-15/11) assuming f is positive.
f**(2250/11)
Simplify d*d**(-11)*d**(2/11)/d*(d/(d/(d*d*d**(-9))*d*d)*d*d)/(d*d**(1/2)) assuming d is positive.
d**(-425/22)
Simplify (p**(-11)/p*p**(-1/6))/(p**(-11)*p*p**10) assuming p is positive.
p**(-73/6)
Simplify (a*a/a**(-3/26)*a**11)/((a/(a*a*a*a*a/a**(-28)))/a**(-12/7)) assuming a is positive.
a**(7899/182)
Simplify z**(-1/8)*z**(-9/5)*z*(z*z**6)**(1/38) assuming z is positive.
z**(-563/760)
Simplify (m/(((m**3*m)/m)/m))**(-1/17)*(m/m**21)/(m/m**14) assuming m is positive.
m**(-118/17)
Simplify (q**(-3/8)/q)/(q/(q**7/q*q*q))*q/(q/(q*q**(1/5)))*q*(q*(q*q**(1/4))/q)/q assuming q is positive.
q**(323/40)
Simplify (n/n**(-18)*n*n**14)/(n**(-2/17)/n)**44 assuming n is positive.
n**(1414/17)
Simplify (o/(o/o**(-6/11))*o)**37/(((o/(o**19/o))/o)/(o/(o/(o/o**(5/4))))) assuming o is positive.
o**(1521/44)
Simplify (r/r**5*r**2)/(r**(2/11)*r**6) assuming r is positive.
r**(-90/11)
Simplify (a**3/(a**1/a)*(a/a**(-1/4))/(a**8/a))**(-9/4) assuming a is positive.
a**(99/16)
Simplify ((f*f/(f*f**(4/5)))/f**(-1/17))/(f/((f**19*f*f)/f*f)*((f*f**(2/21))/f*f*f)/f) assuming f is positive.
f**(34207/1785)
Simplify (q**1)**(-3/28)/(q**7)**2 assuming q is positive.
q**(-395/28)
Simplify ((h**(-1/3))**10/(h**(1/2)/h*h**(-2/5)))**(-6/13) assuming h is positive.
h**(73/65)
Simplify (h*h**(1/3)*h)**37*(h*h*h*h**(-1/2))/h*h**0 assuming h is positive.
h**(527/6)
Simplify n/(n**(-1)*n)*(n/(n/(n*((n*n**(2/35))/n)/n)))/n*n**(2/39)*n**11 assuming n is positive.
n**(15163/1365)
Simplify (t/(t/t**0))**(-9/4)*t**(-2/13)*t**(6/5) assuming t is positive.
t**(68/65)
Simplify (((v*v*(v*v**(1/7)*v*v)/v)/(v*v**(2/13)))**(-3/34))**30 assuming v is positive.
v**(-720/91)
Simplify (d*d*d/(d*(d/d**2)/d)*d)**(1/6)/(((d*d**(-1)*d*d)/d)/d**1) assuming d is positive.
d**(5/6)
Simplify (u**(-8))**(-7)/(u**3/(u/(u/(u*u**13)))) assuming u is positive.
u**67
Simplify (p**11*p**11)/(p*p*p**(-2/3))**(2/47) assuming p is positive.
p**(3094/141)
Simplify ((p*p**0*p*p)**48/((p**3/p)/p**(-1)))**15 assuming p is positive.
p**2115
Simplify ((f*((f*f/(f**(3/5)/f))/f)/f)/(f/(f/f**(-1/4))*f)*(f**(2/17)/f)/(f/f**3))**(-50) assuming f is positive.
f**(-3005/34)
Simplify g**22*g*g**(-16)*g**(-7/5)/(g/(g*g/(g/(g/((g*g**(3/4))/g)))*g)) assuming g is positive.
g**(137/20)
Simplify (q**13*q/(q/((q**(-1/28)/q)/q)))/(q**(1/18)*q*q**16*q) assuming q is positive.
q**(-1787/252)
Simplify (b**(-11)/((b**(-4)/b)/b*b))/((b/b**(-5)*b)/b)**(-6) assuming b is positive.
b**30
Simplify d/(d/(d/(d*d**(-2/13)*d*d)))*d*((d*(d*d/(d**(1/2)/d))/d)/d)/d*((d*(d/d**(-15)*d)/d*d*d)/d*d)/d**(11/6) assuming d is positive.
d**(656/39)
Simplify s**(-4/7)*s*s/s**(-5)*s*s*s**(-5)*s**(-5/4) assuming s is positive.
s**(61/28)
Simplify ((f**(-16)/f)/f**(-2/17))**(4/11) assuming f is positive.
f**(-1148/187)
Simplify ((q**(-11)*q)/q*q*q*q**(1/5)*q*q)/(q**5*q**(-4)) assuming q is positive.
q**(-39/5)
Simplify g**(13/2)*g*g*(g*g**8/g*g)/g*((g**(1/7)*g)/g)**(-50) assuming g is positive.
g**(131/14)
Simplify (j*j/(j/(j/j**(-16)))*j)**(21/5)/(j/(j*j**30)*j/(j/((j/(j/(j*j/(j*(j**0/j)/j)))*j)/j))) assuming j is positive.
j**(534/5)
Simplify ((p*p/p**(3/16)*p)/p)/(p*p**(-5/2)*p)*(p/p**(-21))**(15/4) assuming p is positive.
p**(1357/16)
Simplify ((a*a/(a*a**0*a)*a)/a)/a**5*a**(2/15)*a**(-1/12)/a assuming a is positive.
a**(-119/20)
Simplify (h**(-13)*h*h**0/h)/(h/h**(-1/7))**36 assuming h is positive.
h**(-379/7)
Simplify w**16/w**(2/21)*(w/(w/(w**34/w)))/w**40 assuming w is positive.
w**(187/21)
Simplify (w/w**14)**(-32)/(w**(5/3))**50 assuming w is positive.
w**(998/3)
Simplify (o/(o*o**(-2/9)))/(o*o*o/(o/o**(-4/5)))*(o**(2/3))**(-30) assuming o is positive.
o**(-944/45)
Simplify ((a*a*(a**30/a)/a)/a**3)**21 assuming a is positive.
a**567
Simplify (n*(n/n**7)/n)/((n/(n/(n**(1/6)/n)))/n)*(n**(-1/4)*n)**(-36) assuming n is positive.
n**(-187/6)
Simplify (t/t**(1/3)*t*t*t**(-14)*t)/(t**(2/3))**(-22) assuming t is positive.
t**(13/3)
Simplify ((u/(((u**19*u)/u*u)/u))/u*u*u**(-5/2)*u)**(-1/42) assuming u is positive.
u**(13/28)
Simplify ((n*n/(n/(n/n**(3/7)))*n*n**6*n)/(n**4*n/n**(-2/13)))**32 assuming n is positive.
n**(12864/91)
Simplify (((w/((w**(-9)*w)/w*w))/w**(1/2))/(w**(5/4)*w*w**(-1/6)))**20 assuming w is positive.
w**(385/3)
Simplify ((o/((o*o**(-9))/o*o)*o*o*o*(o*o*o/(o/(o**(-15)/o)*o)*o)/o*o)**28)**(6/25) assuming o is positive.
o**(-336/25)
Simplify ((f*f*f**(-18)/f*f)/f)/f**(-3/4)*(f**(-2/5)*f)/(f/f**(-3/5)) assuming f is positive.
f**(-69/4)
Simplify j**(2/9)*j/j**(2/17)*j*(j/((j**(2/17)*j)/j))**(37/2) assuming j is positive.
j**(5639/306)
Simplify (p*p/(p*p/p**(-2/5))*(p/(p**(-10)/p))/p)/((p/((p*p**4)/p))/(((p*p**(-5/3))/p)/p)) assuming p is positive.
p**(164/15)
Simplify ((o/(o*o*o**(-7))*o)/(o/o**13*o))/(o**4*o**(-12)) assuming o is positive.
o**26
Simplify (l*l/(l/(l/(l/((l/(l/((l**(1/4)/l)/l)))/l)))))**(-34)/(l/(l*l**(-3)))**4 assuming l is positive.
l**(95/2)
Simplify ((g**(-1/3)*g/(g/((g*(g**(2/21)/g)/g*g)/g*g)))**(-1/16))**(3/8) assuming g is positive.
g**(5/896)
Simplify (c**(1/2))**(-1/8)/(c*c/(c*c**2))**17 assuming c is positive.
c**(271/16)
Simplify ((((x*(x*x*(x/x**(-28))/x)/x*x*x)/x)/x)/(x**29*x*x))**(-22) assuming x is positive.
x**22
Simplify (((r**3/r)/(r/(r**(-1/5)/r)))/(r**(-5/2)/((r/(r/(r**(-1/4)*r)*r))/r)))**(-2/5) assuming r is positive.
r**(-21/50)
Simplify b**(1/47)*b**(-20)*(b*b*b*(b/b**(2/43))/b)**(-2/19) assuming b is positive.
b**(-779101/38399)
Simplify i/((i*i**(2/7))/i)*i/(i*i/i**(-2/17))*i**(-1/16)*(((i*i/(i/(i/i**(-24)*i*i)))/i)/i)/i assuming i is positive.
i**(46713/1904)
Simplify (((d*d*d**2)/(d/(d**(2/3)/d)))**(-38))**(-24) assuming d is positive.
d**2432
Simplify l**(-5/6)*l/l**(2/11)*(l*l/(l/l**12))**(-4/35) assuming l is positive.
l**(-3467/2310)
Simplify ((s/s**(-2/3))**(15/7)/(s**(-4/5)/(s**(-4/3)/s*s)))**36 assuming s is positive.
s**(3828/35)
Simplify (m/(m**11/m)*m*(m**0*m)/m)/(m**(-8)*m*m*m**(-2/13)) assuming m is positive.
m**(-24/13)
Simplify (h**(-2/5))**12*(h**(2/27)*h*h)/(h**(-18)*h) assuming h is positive.
h**(1927/135)
Simplify g/g**24*g*g**(-24)*g/(g*(g/g**(-1))/g)*g*g*(g**(-20)*g)/g assuming g is positive.
g**(-65)
Simplify (((r/((r*(r/((r*r**4/r*r)/r))/r)/r))/r*r/r**3*r)/((r/(r**(7/5)*r))/r**2))**(-2) assuming r is positive.
r**(-64/5)
Simplify (s/s**(-4/5)*s/s**6)/(s**14*((s/s**(-1/3))/s)/s) assuming s is positive.
s**(-248/15)
Simplify (h**(-5/6)/h)**(-25)*(h/((h/(h*h*h**(-2/7))*h)/h))**(8/11) assuming h is positive.
h**(21751/462)
Simplify ((u/(u*u**(-9)*u)*u)/u**(-1/28))/(u**7)**(-4) assuming u is positive.
u**(1037/28)
Simplify (q**(-2/61)*q**(-5/7))**(-2/63) assuming q is positive.
q**(638/26901)
Simplify (g**(6/11)/g*g)/g*g*g**1*g*(g*((g/((g**3/g)/g))/g)/g)**24 assuming g is positive.
g**(-236/11)
Simplify ((m**(-1/5)/m)**(-2/39)/(m*m**(-4)*m/m**(7/3)*m*m))**(-17) assuming m is positive.
m**(-7939/195)
Simplify (((f*f/f**0)/f)/(((f/(f*f*f**(1/2)))/f)/f))**28 assuming f is positive.
f**126
Simplify s/s**(-6)*s*s**0*(s/s**(3/10))/(s/((s*s*s/(s*(s*(s/(s*s**(3/2)*s*s))/s)/s)*s)/s)) assuming s is positive.
s**(71/5)
Simplify (t**(-3/5)*t**(7/5)/t*t*((t*((t**(1/3)*t)/t*t)/t*t)/t)**(32/3))**33 assuming t is positive.
t**(7436/15)
Simplify ((u**23*u*u)/u)/u**(-36/5)*u**(-36)*u*((u*u/u**(3/25))/u)/u assuming u is positive.
u**(-98/25)
Simplify ((z/z**(11/4))/z)/z*z*z*(z/z**(-2/13))/z*(z/z**(-1/5)*z)/z**(3/10) assuming z is positive.
z**(79/260)
Simplify (((m/(m/m**(-12)*m))/m)/(m/(m/(m/((m/m**(-6))/m)*m))))/(m**(1/4)*m**(-2/59)) assuming m is positive.
m**(-2411/236)
Simplify (((r*r*r**14*r)**(-2/11))**(-27))**(-23) assuming r is positive.
r**(-21114/11)
Simplify ((s/(s/(s*s*s**2/s*s)))**50/(s/s**(2/9)*s**(3/5)))**(3/14) assuming s is positive.
s**(4469/105)
Simplify (v**(1/2))**(-1/48)/(v**(1/1 | {
"pile_set_name": "DM Mathematics"
} |
for z.
-5
Solve 4*r = 2*k + 6, -11*k + 60 = 5*r + 12*k - 18*k for r.
5
Solve -7*d - 3*j + 65 = 0, 2*d + 2*j - 16 + 1 = -6 + 5 for d.
11
Solve -2*z - 5503*h = -5500*h - 31, h = -42*z + 589 for z.
14
Solve 135 = 4*w - 5*x, -5*x + 106 + 1334 = 41*w for w.
35
Solve 0 = -2*a + l + 15, 26*a + 0*l = 63*a - 60*a - 2*l - 138 for a.
-4
Solve 2*a + 113 = -3*u, 677 = -3*u - a + 628 for u.
5
Solve 0 = -2*h + 6*h - 8*n + 3*n - 75, 209*h - 3*n + 6*n = 3126 for h.
15
Solve -y = m + 9, -42613*m + 42617*m + 2*y = -26 for m.
-4
Solve 45 - 42 = 24*c - 3*t - 99, -273*c + 4*t = -271*c - 16 for c.
4
Solve -4*m + 315 - 251 = -4*b, -3*b = 4*m - 43 for m.
13
Solve -5*n = 16*i - 10*i - 0*i + 57, 49*n + 3*i + 48 = 53*n for n.
3
Solve 61*v + 3*j = 35*v + 31*v - 2, -v + 11*j - 10*j = -2 for v.
-2
Solve -949*a + 951*a = -5*q - 99, 5*q - 2*a - 26 = 63 for q.
-1
Solve 57 = 4*l + 31*t, -l - 96 = t - 144 for l.
53
Solve 3*z + 2*l - 25 = 26, 16*z = 4*l - 168 for z.
-3
Solve 7*p = o - 20, -369*p - 27*o - 15 = -373*p for p.
-3
Solve -9 = t, -368371*t + 368365*t = 4*q + 74 for q.
-5
Solve -2*h + 5*x - 801 + 673 = 0, -4*x - 228 = 4*h for h.
-59
Solve -2*z = 10*r - 0*r + 320, 5*r + 120 + 40 = -5*z for z.
0
Solve 5*o + 5*s = -5, -2*o + 2 = 30*s - 15*s - 22 for o.
-3
Solve 24312*v - 24312*v + 3*p + 39 = 0, -25 = -4*v + p for v.
3
Solve 0 = 4*n + 10*a + 758, -27365*n + 27362*n + 4*a + 294 = 0 for n.
-2
Solve 2*q + 3*y = -72, 820*y - 815*y = -4*q - 146 for q.
-39
Solve 7713*m = -5*o + 7709*m + 193, 7*o - 253 = 3*m for o.
37
Solve 47 = -9*b + 3*a + 137, 55*b - 52*b = -2*a + 39 for b.
11
Solve 2*d - 17*l = 5*d - 16*l - 51, 0*l = 2*d - 2*l + 118 for d.
-2
Solve 66*y + 1533 = 5*i, 4*i = 328*y - 330*y - 30 - 4 for i.
3
Solve 2*w + h - 2962 = -2968, 2*w + 2*h = -4 for w.
-4
Solve -5*i - 1 = 6*b - 48 - 4, -5*i + 3*b + 18 = 21 for i.
3
Solve -14*y + 3*z - 64 = z, 16 = 4*y - 4*z + 48 for y.
-4
Solve -4*j + 24584 = -3*f + 24461, 4*f + 107 = 4*j - 17 for f.
-1
Solve 74*y = -3*q + 89, 8*q + 4*y + 7 = 3*q - 6 + 42 for q.
5
Solve -58 = -4*q - 5*u, 46668*q + u = 46664*q - 3 + 21 for q.
2
Solve -18*n + 468 = 0, 5*x + 62 = 42*n - 40*n for x.
-2
Solve -31*c - 44 = -16*c - 19*c - 3*f, -c - f + 13 = 0 for c.
5
Solve 14 = j + 541*n - 536*n, 2 = -5*j - n for j.
-1
Solve 0 = 5*x - d + 115, 812*d - 23 = x + 810*d for x.
-23
Solve 1749*o - 1746*o + 197 = 13*l, -3*o - 213 = 3*l for o.
-70
Solve 32 = -q + 43735*l - 43731*l, -5*l = 5*q + 60 for q.
-16
Solve -4*h - 91 = -4*y + 17, -64*y = -17*h + 19*h - 1728 for y.
27
Solve 90*f + 13*s = 11*s - 450, 5*s + 20 = 41*f - 45*f for f.
-5
Solve -8*p = 5*u + 71, -4461*u + 8919*u - 12 = 4455*u + 3*p for u.
-3
Solve -4*f = -4*l - 32, -58 = -797*f + 791*f + 4*l for f.
13
Solve 0*o = -4*h - o - 76, 0*h + 7*o = h + 19 for h.
-19
Solve -69 = 21*k - 26*k - 114, -8*i = 3*i - 5*i - k - 39 for i.
5
Solve 44 = 5*n - 4*b, 5641*b - 274 = 2*n + 5688*b for n.
4
Solve -39 = 18*m + 51, -3*p + 4*m + 27 + 51 = 4*p - 40 for p.
14
Solve 38*p = -4*q + 2*q + 188, -206*p + 4*q - 21 = -211*p for p.
5
Solve q + 407 = -6*t + 387, -t = q - 4*t - 7 for q.
-2
Solve -229*q - 2*v + 48 - 34 = -227*q, -20*q + 5*v = 9*q - 67 for q.
3
Solve -21 = 1760*y - 1763*y + 7*v, -3*v + 15 = 3*y - 8*v for y.
0
Solve 7*m + 11 = 8980056*q - 8980054*q, -9*q = 2*m + 51 for m.
-3
Solve 0 = 2*w - 2*c + 56, -4064*c = -4*w - 4063*c - 115 for w.
-29
Solve 53 = c + 289033*o - 289035*o, 5*c + 4*o = -71 for c.
5
Solve -81 = 4*b - 2*f - 24 + 31, 2*f = -2*b - 56 for b.
-24
Solve 0 = -5*i + 22*w - 359, 2*w - 88813 + 88776 = -i for i.
3
Solve -18*l + 17*m + 11*m - 27*m + 229 = 0, m + 11 - 3 = l for l.
13
Solve 0*g - 546 = 25*u - g, 20*g = u + 3*u - 9*u + 17*g - 122 for u.
-22
Solve -3*j + 1645*c + 246 = 1582*c, 0 = j - j - 2*j - 3*c + 7*c + 12 for j.
-2
Solve 6*f = 3*b + 12, -78*f - b - 5 - 11 = -77*f for f.
-4
Solve -2*h = 5*f + 645201 - 645186, 2*h + 39 = -13*f for h.
0
Solve 0 = 4*h + 30*o - 29*o, -5*o = 22*h + 42*h - 8 + 52 for h.
-1
Solve 6*x = -4*t + 20, 3*x + 4*t + 3 - 23 = -x + 7*x for x.
0
Solve -4*h - 5*w = 7, -3*h - 4*w + 17813 - 17818 = 0 for h.
-3
Solve 2*q + 275 - 1 = -5*y, -q + 468 = 43*q - 6*y for q.
3
Solve 0 = -9*n - 43*n - 52, -171*d + 176*d - n + 8 = -4*n for d.
-1
Solve -z = -u + 1, 22*u + 122 = -400*z + 398*z for u.
-5
Solve -2*g + 21*m - 200 = -120 - 111, -2*g + 12 = -2*m for g.
5
Solve 2*y + 3*k + 2 = -4, 6*y + 0*k + 5*k = -2 for y.
3
Solve 5*g = -a - 112 + 53, 969*g + 4811 = a for a.
-34
Solve 640*c - 2*t + 7*t + 12 = 634*c, 4*c + 8 = 2*t for c.
-2
Solve -11*f - 9*f + 12*f = 32*c + 16, -4*f - 5 = c + 18 for c.
1
Solve -176*a = -56*a - 62*a - 56*a - 5*r + 11, 2*a = r + 1 for a.
2
Solve -48 = 3*j - 2*s, 0 = -j + 2*s - 65 + 25 for j.
-4
Solve -w + 191*v - 39 = -193*v + 389*v, 2*w = -v - 96 for w.
-49
Solve -l + 13439 = 2316*a - 58361, a + 131 = 5*l + 142 for a.
31
Solve 0 = -3*s + 2*s - 16*n + 12*n + 13 + 3, 5*s - 18*n = -110 for s.
-4
Solve -5 - 3 = -2*f, 2*i + 708 - 372 = -4*f + 356 for i.
2
Solve -13*p - 177 = 31*p - 14*p + 3*s, 47*p + 45 + 163 = 3*s for p.
-5
Solve 3*v + 0*v - 15 = -0*v, 4*d = -2*v + 12958 - 12944 for d.
1
Solve -32 = 2*l - j, 168*j - 169*j - 274 = 16*l for l.
-17
Solve -23016*u + 23041*u + 5*k - 70 = 0, 4*u + 61 = 3*k for u.
-1
Solve 0 = -4*g + 2*m + 3*m + 62 - 44, -4*g - m + 2 = 2*m for g.
2
Solve -4*h - m + 2*m = -9, -8*m = -36*h - 9*m + 31 for h.
1
Solve -184*u + 87*u + 21 = -94*u - 3*g, 0 = -37*u + 6*g + 414 for u.
12
Solve -46*d - 38*d - 23 = -4*s - 87*d, 25*s + 87 = -d for s.
-4
Solve -11 = 5*u - v - v - 9*v, 13*u - 1 = 16*u - v for u.
0
Solve 6*a = -16*y + 50, -3*a + 23723 = a + 2*y + 23707 for a.
3
Solve 0 = 104773*b - 104776*b - 3*x + x + 3 + 20, -5*x + 20 = 0 for b.
5
Solve 24*m = 3*g + 29*m - 118, -5*m + 154 = 4*g for g.
36
Solve u + 17696*d - 8 = 17691*d, -4*u - 3*d + 83 = 0 for u.
23
Solve -2*g + 5521 = j + 5514, j - g = -8 for j.
-3
Solve w + u - 214780 = -214799, 24 = 5*w - 2*u for w.
-2
Solve -7*l + 19369*o = 19365*o - 54, -3*l + 5*o - 59 = -115 for l.
2
Solve 0 = 25*x - 24*x + 11*p + 8, -11*p - 50 = 2*x - 4*x for x.
14
Solve 3*s + 87*z + 231 = 79*z, z = -2*s + 3*z + 66 for s.
3
Solve -4*a + n + 113 = 12, 3*a + 4*n + 328 = 0 for a.
4
Solve 41015 = 3*u + 41009, -22*a - 3*u - 258 = 0 for a.
-12
Solve -10189 + 10367 = -2*j + 4*a, -33*a = -1386 for j.
-5
Solve -618*x + t - 4 = -617*x, 2*x + 4*t = 9*t + 4 for x.
-8
Solve -u - 34 = 5*l, 2*l + 5 + 26 = -8*u - 13 for u.
-4
Solve 5*l + 2*m + 389 - 287 = 0, -18*m = 2*l + 58 for l.
-20
Solve -5*y - 2*m = 4, -2*y + 3017*m - 3024*m + 66 = -4*y + 2 for y.
-4
Solve -5*m + 14 = -d, -2892*d - 8*m = -2890*d + 64 for d.
-24
Solve 4*o + 13 = -506*z + 505*z, 3*z + 259 = -67*o for o.
-4
Solve 3*d - 30 = -2*w, 0 = -3108474*d + 3108479*d - w - 63 for d.
12
Solve -d = -2*c - 72, -71*c - 4*d - 72 - 62 = -66*c + 33 for c.
-35
Solve 5*l + 18 - 35 = -2*q + 20 + 13, 5*l - 95 = -5*q for l.
4
Solve -27744*c + 126 = 4*p + p - 27745*c, 47 = 2*p + 3*c for p.
25
Solve -429 = 36*i + 353*p - 348*p, 4*i + 187 = -3*p for i.
-4
Solve 4*k + 68 = -4*j, 871 + 227 = -2*k - 74*j - 16 for k.
-2
Solve -4*y + 70 - 8 = 5*z, -8*y - 4*z = -8*z + 72 for y.
-2
Solve -2*s - 466*b = -467*b + 16, 42 = 3*s - 15*b + 19*b for s.
-2
Solve 2262 = -6*o - 7*i + 6*i + 2269, -i - 13 = o for o.
4
Solve -3*k - 169 - 29 = 241*d - 233*d, -269 = 9*d + 4*k for d.
3
Solve 5*g - 214887660 = 5*f - 214887550, -4*f = 9*g + 23 for f.
-17
Solve -7*h + 337 = -112*t - 125, 175*t - 9 = h + 174*t for h.
-14
Solve -2*b - b + 2*b + 655 - 80 = 23*d, 2*d - 2*b - 50 = 0 for d.
25
Solve -8417*v = -6*q + 11*q - 8418*v - 38, -4*q + v = -4*v - 169 for q.
1
Solve 2*r - 6519 = 2*u - 6493, 2*r - 5*u = 26 for r.
13
Solve -16*m + u - 73 = 0, -150952*m - 172 = -150948*m - 4*u for m.
-2
Solve 3*h = 5*p + 2*h - 44, p - 3250*h = -3246*h + 81 for p.
5
Solve 208 = 5*j - 2*b, -266*j + 272*j - 256 = 4*b for j.
40
Solve 7*k + 115 = -5*z, 248*k + 125 = 243*k + 19*z - 14*z for k.
-20
Solve 0 = -5*q - 3*w + 5 + 49, -934291*w + 77 = 4*q - 934286*w for q.
3
Solve 523*x - 519*x = -3*l - 61 - 3 - 19, -x + 2*l = -48 for x.
-2
Solve 2*s - 4*s = -5*h + 12, 4*h - 33*s + 32*s - 12 = 0 for h.
4
Solve 5*r + o = 69, -23*r + 6*r - 3*o + 233 = -0*o for r.
13
Solve 32*j = 463*d - 460*d - 79, -5*j = 4*d - 10 for d.
5
Solve -5*k = 3*d, -5*d - 14 | {
"pile_set_name": "DM Mathematics"
} |
s -78/17 at least k?
True
Let y(h) = -h - 20. Let d be -4*(-2 - 0 - -7). Let g be y(d). Suppose 48 = 14*v - 2*v. Which is greater: g or v?
v
Let k be (-2 - 1) + (11 - 12). Let p be 6/k*49*2/(-3). Let s = p - 52. Does s = -3?
True
Let i = 676726/5 - 134841. Which is smaller: i or 504?
504
Let t be -3 - (6 - (9 + -4 + (-1194)/56)). Which is bigger: t or -26?
t
Let o be 260/(-2340) - 99404/9. Is -11046 at least o?
False
Let y be (0 + -1)*(3 + -6). Suppose -5*x - y*m + 25 = 0, m + 5 - 2 = 4*x. Let t be -1 + (-6)/x + 3030/755. Is t smaller than 1?
True
Let x(d) = -4*d - 27. Let u = 36 - 48. Let t be x(u). Suppose -s = 5*y + 1, 3*s - 28 - 37 = 2*y. Is t at least s?
True
Let o(h) = 41*h - 320. Let w(x) = 2*x**2 - 38*x + 9. Let s be w(19). Let u be o(s). Which is greater: 54 or u?
54
Suppose 14*u - 9*u = 975. Let n = 254 - u. Is 59 at least n?
True
Let w be 5 + 7/(-4) + (-1)/4. Let c(s) = 2 - s**3 + 4*s - w + 6 + 1 - 3*s**2. Let k be c(-4). Which is smaller: k or 9/2?
9/2
Let t = -126 - -125. Let o be t*(15/3 - 4). Let j be (-264)/143 - (o - (0 + 1)). Is -1 < j?
True
Suppose -69*d + 70*d - 1 = 0. Let z(q) = 2*q - 46. Let h be z(25). Which is greater: d or h?
h
Let u = 9/9728 + 4944247/9728. Is 508 > u?
False
Let f(b) = 4*b**2 + 15*b + 3. Let y be f(8). Suppose -y = -13*s + 765. Which is smaller: s or 173/2?
173/2
Let r = -52 - -56. Let d be r + (-5)/5 + 156. Suppose -3*h - d = -4*k + 2, 2*k = 10. Is h at most -46?
True
Let n = -26569/5 + 5291. Let z(h) = -3*h**2 + 45*h + 26. Let q be z(16). Which is bigger: n or q?
q
Let n be (5 + -128)/(5 + 2). Let u = 16 - 34. Which is smaller: u or n?
u
Let x = 68939/17644 - -3/1604. Which is bigger: 4 or x?
4
Let x = -125 - -128. Suppose 7*f + 197 = -3*i + 3*f, -x*i - 5*f - 196 = 0. Is -71 bigger than i?
False
Let l = -693 + 522. Let j be -2 + 10 - (-1410)/l. Which is smaller: j or 0?
j
Suppose -q - 3*k - 21 = 0, -q + 5*k + 17 + 10 = 0. Let g = -9 + 6. Is q < g?
False
Suppose -2*q - u = 3*u + 3790, -2*u = -4*q - 7530. Let l be (-130)/q - 1816/25491. Is 1 equal to l?
False
Let c be (-29)/(-145) + (338/(-8))/(60/(-84)). Is 59 less than c?
True
Suppose -187*o + 177*o = -2110. Let j = 210 - o. Are j and -8/201 equal?
False
Suppose 95*j - 4*u = 91*j + 12, -3*j = 5*u + 15. Which is smaller: 3/2932 or j?
j
Let n be (-1)/80*(-10 - -143). Let i = n + 1/16. Which is greater: 0 or i?
0
Let s = -9.99131 + -0.00869. Is -9/2 >= s?
True
Let u = 7/180 - -53/180. Which is smaller: -51.7 or u?
-51.7
Let w be (-22 + -2)*18/(-24). Let j = w + -24. Let g be (4 - 1 - -3)*10/(-15). Do g and j have the same value?
False
Let t = -125.04 + 125.943. Which is greater: t or -1/3?
t
Let l = 9.719 + -13.719. Is l at most 1/2629?
True
Suppose -8 = -3*y - 3*b + 73, -5*y = 4*b - 130. Suppose 8 - y = 14*h. Which is greater: h or -2/59?
-2/59
Let c(u) = 2*u**2 + 36*u + 5. Let j be c(-18). Suppose -w = -4, t - 2*t = -j*w + 35. Let f = 19 + -35. Are t and f nonequal?
True
Suppose 2*l = 22 + 4. Let i = -10 + l. Let w be 14*1/i*-3. Which is smaller: -2/3 or w?
w
Let d = 4.73 - 0.23. Let j = 25.7 - 25.563. Let w = j + -0.037. Which is smaller: d or w?
w
Let d(l) be the first derivative of l**4/4 + 8*l**3/3 - l**2 - 15*l - 40. Let v be d(-8). Do 6 and v have the same value?
False
Let q = -132.246 + 0.246. Let v = 131.95 + q. Which is bigger: 11 or v?
11
Let v = -1102.572 - -3.572. Which is greater: v or 0.06?
0.06
Suppose 2*h = -3*x - 5, -3*h + 5 = -4*h - 2*x. Suppose 584 - 59 = h*w. Let s = -106 + w. Is 0.32 at most s?
False
Let m = -2893/174216 + -5/952. Suppose -5*n + 4*i = 15, 0*i + 3*i - 17 = -2*n. Which is bigger: m or n?
n
Let y = -617 - -616.1. Let t = 0.3 + 0.1. Which is smaller: t or y?
y
Suppose 5094 = -52*n - 314. Which is smaller: 1 or n?
n
Let q be -5 - -11 - (-1652)/(-2). Let g = -9032/11 - q. Are g and 1 unequal?
True
Let b = 1674 - 1674.8. Which is smaller: b or -649?
-649
Let d be (11944/(-448) - 12) + 4/14. Is d less than or equal to -39?
False
Let g = -1 - -2. Let u = 26.3 + 23.7. Let b = -50.08 + u. Are b and g non-equal?
True
Let u(z) = -38*z**3 - z**2 - z + 2. Let s be u(1). Let x = s + 109. Let f = x + -70. Is -4/9 bigger than f?
False
Let g(b) = 3*b - 10. Let v be g(3). Let u(q) be the first derivative of 3*q**2/2 - 46*q + 15. Let i be u(12). Which is greater: i or v?
v
Suppose 138*g - 906 - 1389 = -363. Which is smaller: 180/13 or g?
180/13
Let l be (1899/(-6) - 3)*((-134)/18 - -7). Is l at least -26?
True
Let w be (-1 - -4)*(6 - ((-45)/27 + 8)). Is w smaller than 1/184?
True
Let m = -3.93 - 0.07. Let p = -150 - -153.1. Let b = -3.05 + p. Which is smaller: m or b?
m
Let m = 23546 + -24924. Is m <= 8?
True
Let c = 9 - 18. Let q = -97.6 - -97.8. Is c bigger than q?
False
Suppose -2*i - 7*i = 0. Suppose 13*k + 71 + 111 = 0. Let t be 18/(-21)*21/k. Is t at most i?
False
Let f be (3436 + 77)*((-8)/3 + 3). Is f less than 1174?
True
Let i(n) = 11*n**2 - 7*n - 8 - 11*n - 186*n**3 + 185*n**3. Let q be i(10). Is q greater than -89?
True
Let i = 2/105 + 101/210. Let l = -35 - -15. Let w be ((-2)/l)/((-77)/(-28)). Is w less than i?
True
Let a(w) = w**2 - 24*w + 140. Let r be a(15). Suppose -1212 = r*i - 412. Which is smaller: -158 or i?
i
Let p(a) = -53*a**3 - a**2. Let q be p(-1). Let r(z) = -z**3 + 38*z**2 - 162*z - 101. Let c be r(33). Let b be c/(-8) - q/16. Is b at least -1?
False
Let f = -119 + 128. Suppose 0 = -14*s + 177 - f. Which is smaller: 1.1 or s?
1.1
Let p = 48 + -82. Let j = -1456 + 1490. Let k = p + j. Is -1.1 greater than k?
False
Let r = 1 + -59. Let v = -14 + r. Do v and -71 have the same value?
False
Let k = -161 + 161. Let n be (k/2)/(76 - 73). Is 3/7 != n?
True
Suppose j - 2 = -u + 1, 0 = 3*u + 4*j - 5. Let o be 2/u - (-90660)/(-525). Let k = o - -171. Is 0 bigger than k?
True
Let v(p) = -25 + 6 + 34*p - 38*p - 15. Let o = 18 - 26. Let d be v(o). Is -3/2 < d?
False
Suppose 76*j = -j - 13*j - 27000. Which is bigger: j or -301?
j
Let u = 3670 - 3670. Do u and 273/4 have the same value?
False
Let o be 43/3 - 18/(-27). Let n be (o - 0 - 3)/(-1). Let i(u) = 4*u + 42. Let d be i(n). Which is smaller: d or -4?
d
Let x be 5/75 + 6472/(-90780). Let p = x - -193741/16643. Which is smaller: p or 12?
p
Suppose -6*h + 73 = -h + s, -3*h - s + 43 = 0. Let i(x) = -6 - 4 + h + 2*x. Let u be i(16). Which is smaller: u or 36?
36
Let o be (-1 + 0)*(4 - (70 - -3)). Let n = o - 152. Is n < -83?
False
Let z be 0 - (10*2 + -2). Let y be 8/(-2) + (-4 - 206). Let w = -229 - y. Are z and w equal?
False
Let m(x) = -x**2 + 199. Suppose -2*o + 4*o = -5*i + 30, -5*i = 0. Let h be m(o). Are -336/13 and h equal?
False
Let m = 1772 - 1772.1. Which is smaller: -0.1362 or m?
-0.1362
Let g be -10 - (11 + 120/(-6)). Does -1/2974 = g?
False
Suppose -2*r = 4*v - 4, -r = -4*v + 1 - 3. Let u be 1/(-11) - (-14059)/191037. Which is smaller: u or v?
u
Let n = -554 + 269. Let u = n - -291. Is u less than 11/2?
False
Let y be 40271/(-40) + (-172)/(-32) + -5. Let t = 1001 + y. Let x = 1 - 6. Does x = t?
False
Suppose 4*s + 5*d + 38 - 39 = 0, -2*d + 1 = s. Is s equal to -304?
False
Suppose -u + 341*p - 342*p = -146, 2*u - 4*p - 268 = 0. Which is bigger: u or 132?
u
Let o = 130.8 - -11.2. Let f = o + -141.8. Let y be (1 - (-3 + 2))/9. Is f > y?
False
Suppose 0 = o - n + 552, -2*o = 2*o - 3*n + 2209. Let x = o - -378. Let u be 2/4 + x/320. Is u less than or equal to -1?
False
Let g be 76/(-494) - (1/(-13))/(21/(-121443)). Let t(a) = 76*a + 11. Let c be t(-6). Are c and g nonequal?
False
Let s = -2646 + 2027. Do s and -0.1 have the same value?
False
Let z = 264 + -274. Let i be ((-520)/(-1450))/(4/z). Which is greater: i or -1?
i
Let n be 7135/(-2)*(-1264)/(-1580). Is n smaller than -2855?
False
Suppose x = 16 - 2. Let z = -999 + 1269. Let d be (-10)/(-35) - z/x. Which is smaller: -20 or d?
-20
Let i(p) = -p + 6. Let z be i(4). Suppose z*o - 4*y + 6*y = 6, o - 9 = 2*y. Suppose 0 = w + a + 15, -3*w - o*a = -w + 36. Is -12 greater than or equal to w?
True
Let h be 2/12 + (27825/18)/7. Let c = 331 + h. Let k be ((-9)/(-6))/(18/c). Is k at least as big as 46?
True
Suppose -2*g = -n + 89, -g - 3*g = -5*n + 175. Let x = 2044/3 - 636. Let y = x + g. Which is greater: -0.05 or y?
y
Let p = 3089 + -3063. Which is smaller: p or -13?
-13
Suppose -1775 = -13*o + 6922. Let l = | {
"pile_set_name": "DM Mathematics"
} |
/(-5))/((-72)/(-540)) and 21.
84
Let p be (19/(-76))/(10901/(-161996)). Let l = p - -12/991. Calculate the common denominator of l and -57/2.
22
Let j be 20/6*48/20. Let n be (j/448)/(4/(-1426)). Let o = n - -15/16. What is the common denominator of o and 17/6?
42
What is the common denominator of (-110)/(-28) + -2 - (-12)/72 and 29/132?
924
Suppose o + 0*o = -4*n + 19, 0 = -5*o + n + 137. What is the smallest common multiple of o and 5?
135
Let h(r) = 6137*r**3 + r**2 - 7. Let o be h(-3). Let y be 6/(-332)*o/252. Let q = y + -2/249. Find the common denominator of q and -63/10.
40
Suppose f + 274 = -0*f. Let v = f - -385. Calculate the common denominator of -75/16 and 13/(-104) + v/(-40).
80
Suppose g + w = 4*g + 2, 0 = -4*g - 3*w + 19. Let c be 64364/(-440) - (g - 1). Let a = -1498/11 - c. Calculate the common denominator of 31/22 and a.
110
Suppose 18 = -n - 17. Let y = n - -65. What is the lowest common multiple of y and 21?
210
Let d = -77109 + 10795209/140. What is the common denominator of -131/90 and d?
1260
Let k be (-3)/5*5052/(-423). Let h be 1 + 3*(-908)/2820. Let l = h + k. Find the common denominator of -67/3 and l.
15
What is the lowest common multiple of 9 and (-7040)/(-32) - (1 - 6)?
225
Suppose g + 3*k - 14 = 0, 3*g - 4*g + 5*k + 30 = 0. Calculate the lowest common multiple of g and (0 - 1 - -32) + -1.
60
Find the common denominator of (-4)/3 + (-77)/(-162) and 121/60.
1620
Let g = -21342089/52 + 410444. Let s = 5/738 - -42739/9594. Let w = s - g. Find the common denominator of -59/4 and w.
4
Let j be (-22898)/(-728) - (-2)/(-8). Let z be (12/(-104))/((-6)/1656 + 0). Let o = j - z. Calculate the common denominator of -25/8 and o.
56
Let w(r) = 1 - 3*r**2 - 9 + 7*r**2 - r**2 - 2*r**2. Suppose -8 = c - 3*c. What is the least common multiple of 3 and w(c)?
24
Let k(h) = h**2 + 2*h + 3. Suppose -2*u - 20 = 2*u. Suppose -4*d = 5*q - 53, -4*d + 28 = 4*q - 32. Calculate the smallest common multiple of k(u) and d.
198
Let c = -23131/39634 - -35/298. What is the common denominator of c and -8/19?
133
Suppose 0 = 2*b - 20 - 152. Calculate the common denominator of 67/28 and ((-30)/40)/(6/b).
28
Let v = -6/475 + 8111/2850. Let z = 11/30 + v. Let h = 3719/5 + -10867/15. Find the common denominator of z and h.
15
Let w(v) = -v**3 - 14*v**2 - 3*v - 26. Let n be w(-14). Calculate the common denominator of 25 and (n/(-40))/(((-64)/410)/2).
8
Let x = 209 + -186. What is the lowest common multiple of x and 6?
138
Let p be 5942/(-1332) - 14/42. Let t = -348/37 - p. What is the common denominator of 53/7 and t?
126
Suppose 36 + 12 = 2*b. Let a(g) = -4*g - 20. Calculate the lowest common multiple of a(-8) and b.
24
Find the common denominator of ((-6)/(-7425)*235)/(4/(-6)) and -9/11.
165
Let v = 43294623/4 + -6277688521/580. Let j = -1350/29 + v. Let m = 2376 + -11934/5. Calculate the common denominator of m and j.
10
Suppose -48*j + 2700 = -33*j. What is the least common multiple of j and 60?
180
Let s be -1 - -1 - (5 + -9 + 2). Suppose 2*b + 2*v - 2 + 0 = 0, -3*v = -s*b + 2. What is the least common multiple of b and 3?
3
Calculate the common denominator of (-5056)/(-2640) + 3/5 and 101/24.
264
Let f = -16 - -30. Calculate the least common multiple of f and 22.
154
Calculate the lowest common multiple of (-50)/45*(-2)/(2/9) and 115.
230
Let g = 267529/145 - 1845. Let o = g - 7983/290. What is the common denominator of o and -44/17?
34
Let u be (-8)/(288/9) - 1/(-4). Suppose 15 = 5*a - 2*a - 3*f, u = -2*a - 4*f + 28. Calculate the smallest common multiple of a and (-200)/(-14) - 4/14.
56
Let n = 32 + -30. Let c(f) = -2*f**2 - 3*f + 3. What is the common denominator of ((-3)/66*-5)/(1/n) and c(2)?
11
Let u(d) = -20*d**3 + d**2 + d. Let f be u(-1). Suppose -o + f = 2. What is the least common multiple of o and 22?
198
Let j = -42 + 41. Find the common denominator of j/(-6) - 172/16 and 47/10.
60
Let n = 90865/36 - 2525. Let g = -32789/10 - -3276. Calculate the common denominator of n and g.
180
Suppose -78 = 4*f - 7*f. Let g = f + -18. What is the lowest common multiple of g and 12?
24
Suppose -2*n + 26 = -4*p, 4*n + 3*p - 19 = 11. What is the least common multiple of n and 9?
9
Suppose -5*o = -9*o + 9320. Let r = o + -1032. Find the common denominator of 11/7 and ((-1)/18)/(11/r).
63
Let j(w) = -20*w + 164. What is the least common multiple of j(-2) and 60?
1020
Let s(o) = -20*o + o**2 + 31*o + 10 - 13*o. Let d(r) = 9*r**3 - r**2 - r + 1. What is the smallest common multiple of d(1) and s(0)?
40
Calculate the common denominator of 19/206 and 6/9 + -2 - 74/30.
1030
What is the common denominator of (0 + 202/(-4))/(-2) and ((-1)/((-16)/74))/((-77)/132)?
28
Let u = 1033/10 + -374/5. Calculate the common denominator of u and -4 - -4 - (-26)/4 - 2.
2
Suppose -88 = 4*i - 4*d, -54 = -i + 3*i - 4*d. Let h be (-2)/(-4) - i/(-2). Calculate the common denominator of (-60)/(-22) + h/44 and 79/6.
66
What is the common denominator of 5/13 and -7*(-11)/(-154)*(-43)/(-52)?
104
Suppose 3*s - 5*s - 4 = 0. Let x be s + (-3737)/(-1220) + -3. Let i = x - 4/305. What is the common denominator of i and -127/6?
60
Let d = 231089/69630 - 2/3165. What is the common denominator of d and 127/102?
1122
Let b be (18/21)/(6/21). Suppose 0 = -5*o + 4*p + 12, -3*o + b*p = p - 6. Let z(y) = y**2 + y + 7. What is the smallest common multiple of 10 and z(o)?
70
Suppose 0 = 4*j + 1467 - 4203. Let i be 2/(-8) - (-8799)/j. Let s = i + -37/19. What is the common denominator of 41 and s?
3
Let k = 75 - 71. Let s = 1779/10 + -707/5. What is the common denominator of s and 166/(-6)*(-2)/k?
6
Calculate the common denominator of -83/4 and (-9*4/(-2850))/((-8)/(-30)).
380
Suppose -7*f = -125 + 62. What is the least common multiple of f and 54?
54
Suppose -4*s + a = -17, -5*s - a = 4*a - 15. Suppose s*f - 2 = 3*f. Calculate the least common multiple of 6 and 6*1/f - 0.
6
Let n(t) = -6*t - 2. Let i be n(-5). Suppose -3*v + i = 10. Suppose 12*q - 4*q - 48 = 0. What is the smallest common multiple of q and v?
6
Calculate the common denominator of 2/(-10) - 7072/(-2560) and ((-85)/33)/((-6)/(-9)).
176
Find the common denominator of ((-17)/102)/(7/(-124)) and 179/180.
1260
Let u(b) = 14*b - 113. What is the smallest common multiple of u(10) and 36?
108
Suppose -12*p + 102 = 42. Suppose -4*h - 1 = -33. What is the lowest common multiple of h and p?
40
Let c be (3 + -13)*(-1)/2. Suppose -c*r = 8 - 48. What is the lowest common multiple of 2 and r?
8
Let b(u) = u + 20. Let c be b(-17). Let l = -33669/30590 + 2/3059. What is the common denominator of l and (c/2)/((-5)/(-19))?
10
Let w(d) be the third derivative of -d**5/60 + 7*d**4/24 - 7*d**3/6 + 39*d**2. What is the least common multiple of ((-1)/2)/((-1)/4) and w(4)?
10
Let d = 4133/1616 + -50/101. Find the common denominator of d and 95/66.
528
Calculate the smallest common multiple of 18 and 7/((-21)/(-8))*(2 - -1).
72
Find the common denominator of -17/120 and 8/(-336)*(-1 + -3 + 35).
840
What is the common denominator of -35/687 and (-27)/42*286/(-33)?
4809
Let h(l) = 21*l**3 - 8*l**2 - l + 6. Let f be h(-6). Let q = -133811/14 - -9554. Calculate the common denominator of q and f/720 + 2/(-5).
84
Let b = 501 + -338. Calculate the common denominator of -63/4 and 2 + b*(-4)/72.
36
Let n = 70 + -67. Calculate the smallest common multiple of 33 and 2/n*(-1)/2*-54.
198
Let p = 11 + 4. Let w = -9 + p. Calculate the smallest common multiple of w and 11.
66
Suppose -3*s = 6, 0 = -7*z + 8*z + 2*s - 77. What is the least common multiple of 90 and z?
810
Suppose -61*q = -240 - 5372. What is the least common multiple of q and 16?
368
Let q be (-748)/(-90) + (-3 - -2). Let i = q + -223/15. Calculate the common denominator of i and -91/4.
36
Let s = 235 - 225. What is the smallest common multiple of s and 22?
110
Suppose 0 = 3*n + 3, -4*p + 17 = n - 18. Let g be (p/(-27))/(2/24). Find the common denominator of g - 177/90 - -1 and -59/6.
30
Let a = 54/209 + -20813/2090. Calculate the common denominator of a and -87/1300.
1300
Let k be ((-20)/(-3))/(-1)*(-9000)/(-16). Let r = k - -18813/5. What is the common denominator of -21/10 and r?
10
Suppose -108 = -3*k - 45. Suppose -4*o = -k + 1. Suppose -3*m - 3 + 7 = -i, 0 = m - 4*i - o. Calculate the lowest comm | {
"pile_set_name": "DM Mathematics"
} |
+ 36*t**2 - 3866 + 1929.
36*t**2
Collect the terms in -346 + 652 - 306 - d**2.
-d**2
Collect the terms in -55*v**3 - 53*v**3 - 54*v**3 + 163*v**3.
v**3
Collect the terms in 276*p**2 - 1871*p**2 - 2642*p**2 - 654*p**2.
-4891*p**2
Collect the terms in -54*h - 77*h**2 + 54*h - 326*h**2.
-403*h**2
Collect the terms in -4*s + 281*s**3 - 849*s**3 + 2*s.
-568*s**3 - 2*s
Collect the terms in -4172*h**2 - 72*h**3 - 2*h + 4178*h**2 + 2*h.
-72*h**3 + 6*h**2
Collect the terms in 2*i - 4*i - 326*i**2 - 167*i**2 + 102*i**2.
-391*i**2 - 2*i
Collect the terms in -899*i**3 - 604*i**3 + 1177*i**3.
-326*i**3
Collect the terms in -795 + 18*k**3 + 1568 - 773.
18*k**3
Collect the terms in -16*h**3 - 165*h**3 + 72*h**2 - 160*h**2 + 88*h**2.
-181*h**3
Collect the terms in 5*g - 16*g + 156*g + 30*g.
175*g
Collect the terms in -2*f**2 + 37 + 20 + 7 - 79 + 15.
-2*f**2
Collect the terms in -130*g - 7*g + 0*g**3 + 54*g - 3*g**3 + 16*g.
-3*g**3 - 67*g
Collect the terms in -123120 - 2*q + 123120.
-2*q
Collect the terms in -13*o + 20*o + 15*o - 4.
22*o - 4
Collect the terms in 726 + 4474*h**2 + 839 - 4472*h**2 - 1565.
2*h**2
Collect the terms in -107*h + 22*h + 26*h + 25*h + 30*h.
-4*h
Collect the terms in 1867*k**3 - 1841*k**3 + 90*k**2 - 90*k**2.
26*k**3
Collect the terms in -3*t**2 - 278*t**3 - 68*t**3 + 66*t**3 + 3*t**2.
-280*t**3
Collect the terms in -76*v**2 - 23*v**2 - 9*v**2 - 26*v**2 + 128*v.
-134*v**2 + 128*v
Collect the terms in -845 - 845 + 1690 + 9304*b.
9304*b
Collect the terms in 14283894 - 14283894 - 4*s.
-4*s
Collect the terms in -471*p + 950*p - 2886*p**3 - 479*p.
-2886*p**3
Collect the terms in 15*s**3 - 2*s - 69*s**3 - 65*s**2 - 32*s**3 + 65*s**2.
-86*s**3 - 2*s
Collect the terms in -77*u - 44*u - 47*u + 179*u.
11*u
Collect the terms in -5*n + 16*n - 11*n - 2*n + 4*n.
2*n
Collect the terms in 67*b - 74*b - 47*b - 64*b.
-118*b
Collect the terms in -22279*r**2 + 11135*r**2 + 11143*r**2.
-r**2
Collect the terms in -196 - 2*x + 74 + 76 + 52.
-2*x + 6
Collect the terms in -230*q**3 + 80*q**3 + 82*q**3 + 74*q**3.
6*q**3
Collect the terms in 10*t**2 + 1005521*t - 502759*t - 502762*t.
10*t**2
Collect the terms in -140*z**2 - 131*z**2 - 135*z**2 - 130*z**2 - 134*z**2 + 671*z**2.
z**2
Collect the terms in -45081 + 2*r**3 + 22542 + 22539.
2*r**3
Collect the terms in -96639*w**3 + 48315*w**3 + 48327*w**3.
3*w**3
Collect the terms in 190*j - 605*j + 199*j + 3 + 201*j - 3.
-15*j
Collect the terms in -656*f + 197*f - 347*f - 348*f.
-1154*f
Collect the terms in -2672*k - 743*k - 2788*k.
-6203*k
Collect the terms in -33 + 0*x + 17 + 10*x + 12.
10*x - 4
Collect the terms in -591*c**2 - 58 + 31 + 27.
-591*c**2
Collect the terms in -115*y**2 + 182*y**2 - 64*y**2.
3*y**2
Collect the terms in 11*p**2 - 5*p**2 - 2656*p**3 - 6*p**2.
-2656*p**3
Collect the terms in 3*i + 44*i - 1 - 2*i - 43*i.
2*i - 1
Collect the terms in 495*d + 495*d - 20*d**3 - 990*d.
-20*d**3
Collect the terms in 401*d - 1700*d - 2 - 504*d.
-1803*d - 2
Collect the terms in -5*l + 2*l + 10*l + 88 - 2*l.
5*l + 88
Collect the terms in 8 + 82*i - 43*i - 27*i.
12*i + 8
Collect the terms in -121 - 216*g + 245 - 116.
-216*g + 8
Collect the terms in -138097*w**3 - 138154*w**3 + 276252*w**3.
w**3
Collect the terms in 25 - 17 - 42470*q**2 + 42481*q**2 - 8.
11*q**2
Collect the terms in -1325285 - 1325289 + 2650574 - 2*f.
-2*f
Collect the terms in -81 - 129 + 211 + 768*u.
768*u + 1
Collect the terms in 70235 - 35121 - n - 35114.
-n
Collect the terms in -3*q + 5*q - 2*q - 92023*q**3 + 91998*q**3.
-25*q**3
Collect the terms in -12*f**2 - 13*f**2 - 19*f**2 - 24*f**2 + 64*f**2.
-4*f**2
Collect the terms in 4 - 124*d**2 + 407*d**2 - 11 + 7.
283*d**2
Collect the terms in -264*i**3 - 3*i - 155*i**3 + 516*i**3.
97*i**3 - 3*i
Collect the terms in -239*d**3 + 140*d**3 + 112*d**3.
13*d**3
Collect the terms in -137*b + 244*b - 124*b.
-17*b
Collect the terms in -2*m**2 - 43 + 43 - 4*m**2 - m**2.
-7*m**2
Collect the terms in 1262*t**2 - 1107*t + 1107*t.
1262*t**2
Collect the terms in 113*n**3 + 19*n + 23*n - 31*n**3.
82*n**3 + 42*n
Collect the terms in -932*y**2 + 146*y**2 - 147*y**2.
-933*y**2
Collect the terms in 7*g + 13*g - 3*g - 2.
17*g - 2
Collect the terms in -n**2 + 2 + 3*n**2 - 9 - 3 + 10.
2*n**2
Collect the terms in -4720*y**3 + 3831*y**3 - 1665*y**3.
-2554*y**3
Collect the terms in -57*t**3 - 109*t**3 - 52*t**3 + 213*t**3.
-5*t**3
Collect the terms in 3*r**3 - 8*r**3 + 22*r + 7*r**3 + 76*r + 99*r.
2*r**3 + 197*r
Collect the terms in -7172*g + 3602*g + 3592*g.
22*g
Collect the terms in -1124*i**2 - 317*i + 632*i - 315*i.
-1124*i**2
Collect the terms in -3 + 92*y**2 + 307*y**2 + 3.
399*y**2
Collect the terms in -3 + 5*w**2 + 18*w - 22 + 0*w + 11*w.
5*w**2 + 29*w - 25
Collect the terms in -86*x**2 + 6 - 489*x**2 - 5.
-575*x**2 + 1
Collect the terms in 1565 + 1556 - 3121 + 14*r.
14*r
Collect the terms in -31*q**3 + 6*q**3 + 117*q**3.
92*q**3
Collect the terms in -1491*t - 2 + 1491*t - 13*t**3.
-13*t**3 - 2
Collect the terms in 113*c - 5 + 203*c**2 + 5 - 113*c - 199*c**2.
4*c**2
Collect the terms in -4*g**2 + 119*g**3 + 3*g**2 - g**2 + 78*g**3.
197*g**3 - 2*g**2
Collect the terms in -131994*c + 131994*c + 13*c**2 + 12*c**2.
25*c**2
Collect the terms in -y**2 + 153788*y - 307576*y + 2*y**2 + 153788*y.
y**2
Collect the terms in 13 + 56*h + 7*h + 21 - 34.
63*h
Collect the terms in -219299169 + 219299169 - q.
-q
Collect the terms in 3*n**3 - 4*n**3 + 1283*n - 242*n.
-n**3 + 1041*n
Collect the terms in 61*l - 58*l + 3*l - 3*l - 2*l.
l
Collect the terms in -16673323*l - l**2 + 2*l**3 + 16673323*l + l**2.
2*l**3
Collect the terms in -g**2 - 2*g**2 + 12*g - 12*g - 5*g.
-3*g**2 - 5*g
Collect the terms in -3*i**2 - 15458*i**3 + 2*i**2 + i**2.
-15458*i**3
Collect the terms in -90187*i**3 + 3*i - 3*i + 90202*i**3.
15*i**3
Collect the terms in -32 - 1 - 2*o**3 - 10 + 43.
-2*o**3
Collect the terms in -4*j**2 - 43117416 + 43117416.
-4*j**2
Collect the terms in -2*s**3 + 6*s**3 - 9*s**3 + 42*s**2 - 202*s**2.
-5*s**3 - 160*s**2
Collect the terms in 52465*b - 52465*b + 4*b**2 - 21*b**2 - 27*b**2.
-44*b**2
Collect the terms in -14638 - 3*k**2 + 3*k**2 - 2*k**3 + 14932.
-2*k**3 + 294
Collect the terms in 166*j + 159*j - 636*j + 155*j + 168*j.
12*j
Collect the terms in 160909238682*h - 160909238682*h + 0*h**3 + h**3.
h**3
Collect the terms in 41 - 3 + 10 - 5*i**3 + 9.
-5*i**3 + 57
Collect the terms in 377*u**2 - 18 + 7 + 11.
377*u**2
Collect the terms in 123*j**2 - 1 + 4*j**2 + 6 - 2.
127*j**2 + 3
Collect the terms in -499*x**3 - 37*x + 101*x - 64*x.
-499*x**3
Collect the terms in -372*t**2 + 196*t**2 - 369*t**2 - 3.
-545*t**2 - 3
Collect the terms in -2*m + 510*m**3 - 18401*m**2 + 18401*m**2.
510*m**3 - 2*m
Collect the terms in -150*a - 174*a - 74*a - 73*a + 272*a.
-199*a
Collect the terms in -3519*k + 1740*k - 24*k**2 + 1778*k.
-24*k**2 - k
Collect the terms in -2 - 1197*k + 4 + 428*k.
-769*k + 2
Collect the terms in 9*h - 93708 + 46857 + 46851.
9*h
Collect the terms in -3*h**3 - 4*h**3 + 7*h**3 + 6*h**3 - 2*h**3 - 3*h**3.
h**3
Collect the terms in 282*d**2 - 1414*d**2 + 278*d**2 + 284*d**2 + 285*d**2 + 283*d**2.
-2*d**2
Collect the terms in 4*m**3 - 21613*m + 21613*m.
4*m**3
Collect the terms in -54 - 1021*a + 54 - 1985*a.
-3006*a
Collect the terms in 660*p + 658*p - 1980*p + 89*p**2 + 661*p + 48*p**2.
137*p**2 - p
Collect the terms in -5 + 5 - 246623383*o - o**3 + 246623383*o.
-o**3
Collect the terms in 22860*s + 10 - 10.
22860*s
Collect the terms in -5*n**2 - 781*n + 3*n**2 + 231*n.
-2*n**2 - 550*n
Collect the terms in v**2 - 90*v - v**2 - 6*v**2 + 22*v - v**2.
-7*v**2 - 68*v
Collect the terms in 85*v - 4 + 5 - 91*v + 1.
-6*v + 2
Collect the terms in 33*v - 6 + 1 - 15*v + 4 - 17*v.
v - 1
Collect the terms in 0 + 4*b**3 - 3 - 1 + 0 - 6*b**3.
-2*b**3 - 4
Collect the terms in 1065*l**2 + 1059*l**2 + 2*l + 3*l**3 - 2*l.
3*l**3 + 2124*l**2
Collect the terms in -73*u - 87 + 40 + 125*u + 47.
52*u
Collect the terms in 12*b**2 - 13*b**2 - 4*b**2 + 6*b**2 - 7*b**2 - 8*b**2.
-14*b**2
Collect the terms in -4*n - 48 + 5*n + n - n + 4.
n - 44
Collect the terms in -a + 2*a + 38 + 0*a.
a + 38
Collect the terms in 349*v**3 - v + 66*v**3 - v + 2*v.
415*v**3
Collect the terms in 3*x - 26 + 55 - 23 + 24*x**2 - 2*x.
24*x**2 + x + 6
Collect the terms in 436*n* | {
"pile_set_name": "DM Mathematics"
} |
+ 11*g**2 + 2*g**3 wrt g?
6*g**2
Let z(u) be the first derivative of -u**5/60 + u**4/12 + u**3 + 1. Let x(c) be the third derivative of z(c). What is the derivative of x(i) wrt i?
-2
Let b(d) be the second derivative of d**4/24 - d**3/2 + d**2 - 2*d. Let k(l) be the first derivative of b(l). Find the first derivative of k(p) wrt p.
1
Find the third derivative of -41*h**5 + 41*h**5 - 9*h**6 - 16*h**2 wrt h.
-1080*h**3
Suppose 4*o = o + 15, 0 = 4*d + o - 21. Find the second derivative of 2*l + 3*l**5 - d*l + l**5 - l**5 wrt l.
60*l**3
Let a be 9/(-6)*(-4)/(-6). Let d be 2/a - -2 - -5. What is the second derivative of -b**4 + 2*b**d + b**4 - b wrt b?
40*b**3
What is the third derivative of 0*j**2 - 2*j**6 - j**2 + j**6 wrt j?
-120*j**3
Let v(f) be the first derivative of -f**3/3 + 2*f + 13. What is the first derivative of v(m) wrt m?
-2*m
What is the third derivative of 6*s**3 - 9*s**3 + s**3 - 9*s**3 + 13*s**2 wrt s?
-66
Let g be ((-78)/(-27) + -3)/(1/(-3)). Let s(h) be the first derivative of -3/2*h**2 + 0*h + 3 + g*h**3. What is the second derivative of s(w) wrt w?
2
Let x = -9 + 16. Suppose 8 = 5*c - x. Find the second derivative of f**c + 4*f**3 - f**3 - 3*f - 3*f**3 wrt f.
6*f
What is the first derivative of 2 + 16*d**3 + 4 + 19 + 4*d**3 wrt d?
60*d**2
Let d(f) be the first derivative of -f**5/5 + 9*f + 25. What is the derivative of d(n) wrt n?
-4*n**3
Suppose -3*n + 3 + 3 = 0. Suppose -c - 5 = -0, c = -n*a + 1. What is the second derivative of -19*b + 17*b + a*b**2 - 2*b**2 wrt b?
2
Let w(b) be the first derivative of -b**6/90 - b**5/30 + b**3 - 3. Let l(j) be the third derivative of w(j). What is the second derivative of l(r) wrt r?
-8
What is the first derivative of -9 + 6 - 15*n + 32 wrt n?
-15
Let i be 1 - (-6)/(-3)*-1. What is the second derivative of 8*x - 14*x**2 + 2*x**3 + 14*x**2 - 6*x**i wrt x?
-24*x
Let s(p) be the first derivative of -3*p + 0*p**3 - 1/5*p**5 - 2 + 0*p**4 + 0*p**2. Find the first derivative of s(f) wrt f.
-4*f**3
Find the third derivative of 21*m**6 + 13*m**2 - 5*m**2 - 17*m**6 wrt m.
480*m**3
Let t(u) = 2*u**3 - 4*u**2 + 3*u - 4. Let v(w) = 2*w**3 - 5*w**2 + 4*w - 5. Let h(r) = -5*t(r) + 4*v(r). What is the second derivative of h(j) wrt j?
-12*j
Let r(f) be the first derivative of f**8/420 - f**4/6 + 2*f**3 - 7. Let a(j) be the third derivative of r(j). What is the first derivative of a(z) wrt z?
16*z**3
Let g(q) be the second derivative of 0*q**5 + 1/4*q**4 + 3*q + 2/21*q**7 + 0*q**6 + 0*q**3 + 0*q**2 + 0. What is the third derivative of g(w) wrt w?
240*w**2
Let t(h) = h**2 - 4*h + 4. Let r be t(5). Suppose 3*k + 0 + r = 0, 0 = 3*g + 2*k. Find the first derivative of 2*c**2 - c**g - 2*c**2 - 2 wrt c.
-2*c
Let v(q) = -2*q**3 + 4*q**2. Let l(j) = -8*j**3 + 0*j**3 + 2*j**3 + 12*j**2. Let g(c) = 3*l(c) - 8*v(c). What is the third derivative of g(s) wrt s?
-12
Let p = -339/10 - -34. Let c(o) be the second derivative of p*o**6 + 0*o**4 + 0*o**5 + 0 + 0*o**2 + 3*o - 1/6*o**3. What is the second derivative of c(k) wrt k?
36*k**2
Let x(y) be the first derivative of -y**10/1008 + y**6/90 + 4*y**3/3 + 2. Let h(i) be the third derivative of x(i). What is the third derivative of h(k) wrt k?
-600*k**3
Let j(f) = 5*f**4 - 5*f**3 + 5*f**2 + 5*f + 2. Let c(l) = -l**3 + l**2 + l. Let p(r) = 5*c(r) - j(r). What is the first derivative of p(t) wrt t?
-20*t**3
Let j(s) be the third derivative of s**7/35 + s**4/8 - 2*s**2. Find the second derivative of j(d) wrt d.
72*d**2
Suppose 6*n = 3*n. What is the third derivative of n*x**3 + 4*x**3 + 4*x**6 - x**2 - 4*x**3 wrt x?
480*x**3
Let l(s) = 25*s**3 - 4*s**2 + 8*s - 4. Let x(n) = n**3 + n**2 - n. Let r(c) = l(c) + 4*x(c). What is the second derivative of r(z) wrt z?
174*z
Let m(c) be the first derivative of -5*c**7/42 + c**3/6 - c + 3. Let z(l) be the first derivative of m(l). What is the second derivative of z(u) wrt u?
-100*u**3
Differentiate 4*s**2 + 16 + 0 - 10 with respect to s.
8*s
Let i(k) = -7*k**2 - 3*k - 12. Let q(z) = -z**4 + z**2 + z - 1. Let d(n) = i(n) + 3*q(n). Differentiate d(c) with respect to c.
-12*c**3 - 8*c
Let l(w) be the second derivative of w**7/280 - w**4/12 + w**3/3 - w. Let x(s) be the second derivative of l(s). Find the first derivative of x(v) wrt v.
9*v**2
Let q be -15*(0 - (-6)/15). Let m = q - -10. What is the first derivative of 5 - 3 - 2*i**4 + i**m wrt i?
-4*i**3
Let q(a) be the second derivative of -a**5/20 + 3*a**3/2 + 14*a. What is the second derivative of q(r) wrt r?
-6*r
Let b(w) be the second derivative of -2*w**5/5 + 5*w**4/12 - 20*w**2 - 11*w. What is the derivative of b(q) wrt q?
-24*q**2 + 10*q
Let j(u) = -10*u**4 + 3*u**3 - 3*u**2 - 16. Let h(a) = 31*a**4 - 8*a**3 + 8*a**2 + 47. Let q(o) = -3*h(o) - 8*j(o). Find the first derivative of q(s) wrt s.
-52*s**3
Find the third derivative of -8 - 4 + 12 - 7*y**2 + 4*y**5 wrt y.
240*y**2
Let s(v) = 5*v**3 + 14*v. Let y = -25 - -17. Let m(j) = -7*j**3 - 21*j. Let i(r) = y*s(r) - 5*m(r). Find the second derivative of i(g) wrt g.
-30*g
Let k(c) = c + 1. Let o(m) = 6*m - 1. Let n(v) = 4*k(v) - o(v). Differentiate n(f) with respect to f.
-2
Let y(x) = -x + 8. Let l be y(6). Suppose 2*a = 2*z + z - 8, 0 = 2*z + 5*a + 1. Find the third derivative of z*k**4 - 2*k**2 - 5 + 3 + l wrt k.
48*k
Let w be 9/(-12) + (-34)/8. Let x = w + 7. What is the derivative of -4*r + 1 - 3 + 1 + x wrt r?
-4
Let w = -5 - -8. Find the third derivative of -j**2 - j**2 - 2*j**w + j**3 wrt j.
-6
Suppose -n - 2*n + 3 = -2*a, a = n + 1. Find the second derivative of -d**2 + d + 0*d - a*d + 2*d wrt d.
-2
Let l(f) be the second derivative of 0*f**3 + 0*f**4 + 2*f + 1/30*f**6 - 3/2*f**2 + 0*f**5 + 0. Differentiate l(n) wrt n.
4*n**3
Find the first derivative of 8*n**3 - 18*n**2 + 42*n**2 + 19 - 23*n**2 wrt n.
24*n**2 + 2*n
Suppose -15 = -3*f - 6. Find the third derivative of -b**3 + b**2 - 5*b**f + 6*b**3 - 4*b**5 wrt b.
-240*b**2
Let c(w) be the second derivative of w**9/3024 + 3*w**5/40 - w**4/6 - 6*w. Let r(q) be the third derivative of c(q). Differentiate r(o) with respect to o.
20*o**3
Let c(t) = -32*t**2 + 46*t. Let a(f) = -64*f**2 + 91*f. Let i(b) = -3*a(b) + 5*c(b). What is the second derivative of i(n) wrt n?
64
Let s(j) = -j. Let l(b) = -26*b - 15. Let n(i) = -l(i) - 2*s(i). Differentiate n(h) wrt h.
28
Let b be -1 + 3/1 + -2. Suppose 3*r = -b*r + 9. What is the second derivative of n - n - n + n**r wrt n?
6*n
Find the third derivative of 8*m**2 + 7*m**4 - 7*m**2 + 20*m**2 - 33*m**4 wrt m.
-624*m
Let l(v) be the first derivative of v**8/840 - v**4/12 + 2*v**3/3 - 4. Let n(z) be the third derivative of l(z). What is the derivative of n(g) wrt g?
8*g**3
Let r(t) = -t**2 - t. Let j(h) = -9*h**2 - 18*h. Let n(f) = j(f) - 5*r(f). Find the second derivative of n(d) wrt d.
-8
Let b = 2 - 6. Let x be (-1)/(-1 - 3/b). Differentiate -x*g + g**3 + 2 + 4*g with respect to g.
3*g**2
Let s be (20/14)/(8/56). What is the first derivative of 6 - s*v - 2 + 14*v wrt v?
4
Let r(b) = 5*b - 1. Let a(n) = 4*n. Let q(v) = 6*a(v) - 5*r(v). What is the derivative of q(i) wrt i?
-1
Suppose 5*l = p + 5 + 7, 0 = -4*l - p + 15. Let z = -6 - -9. What is the third derivative of -l*k**2 - 5*k**3 + 5*k**z - 3*k**6 wrt k?
-360*k**3
Let j be (17 + -1)/(0 - -2). Differentiate -2 - j + 0*l**3 + 5*l**3 + 5 with respect to l.
15*l**2
Let c be (-1)/(-2) - (-33)/6. Suppose -5*m - 10 = 5*l, -2*m = -4*m - c. Find the first derivative of l - r**3 + r**4 + r**3 wrt r.
4*r**3
Let q(t) = 5*t**2 - t + 1. Let a be q(1). Suppose 0 = -3*g - 2*g + 10. Find the third derivative of -u**2 + 0*u**4 + a*u**g - 2*u**2 - 3*u**4 wrt u.
-72*u
Let m(t) = t**3 + t**2 + 2*t. Let z be m(2). What is the second derivative of 7*v + 7*v**3 - v**2 - z*v + v**2 wrt v?
42*v
Suppose 5*q + 11 = -4*u - 0*q, 17 = 2*u - 5*q. Let s = 0 + u. Find the first derivative of 3*p**2 - p**3 - 3*p**2 + s wrt p.
-3*p**2
Suppose 24 = 2*g + 2*g. Differentiate -2 + 3 + g*h**4 + 12*h**3 - 12*h**3 wrt h.
24*h**3
Let j(h) be the third derivative of -h**5/4 + 2*h**3/3 + 17*h**2. Find the first derivative of j(i) wrt i.
-30*i
Let s(v) = -13*v**2 + 4. Let c(f) = 19*f**2 - 6. Let o(d) = -5*c(d) - 8*s(d). Differentiate o(t) wrt t.
18*t
Let y(l) = 9*l**3 - 21*l**2 - 21*l - 9. Let f(d) = d**3 - 2*d**2 - 2*d - 1. Let t | {
"pile_set_name": "DM Mathematics"
} |
emainder when 74934 is divided by 17.
15
Calculate the remainder when 4554 is divided by 40.
34
Calculate the remainder when 2283665 is divided by 570914.
9
What is the remainder when 9246 is divided by 165?
6
What is the remainder when 40480 is divided by 1227?
1216
What is the remainder when 80945 is divided by 16174?
75
Calculate the remainder when 10531 is divided by 155.
146
What is the remainder when 29228 is divided by 1124?
4
Calculate the remainder when 79299 is divided by 102.
45
Calculate the remainder when 30286 is divided by 3785.
6
Calculate the remainder when 3059 is divided by 66.
23
What is the remainder when 1381 is divided by 639?
103
Calculate the remainder when 2716063 is divided by 1705.
1703
What is the remainder when 553398 is divided by 107?
101
What is the remainder when 434762 is divided by 63?
62
Calculate the remainder when 10995 is divided by 1567.
26
Calculate the remainder when 161004 is divided by 287.
284
Calculate the remainder when 7087 is divided by 1732.
159
Calculate the remainder when 453 is divided by 236.
217
Calculate the remainder when 8714 is divided by 4.
2
What is the remainder when 13455 is divided by 99?
90
Calculate the remainder when 26079 is divided by 362.
15
Calculate the remainder when 83948 is divided by 67.
64
Calculate the remainder when 255610 is divided by 443.
442
Calculate the remainder when 126668 is divided by 530.
528
Calculate the remainder when 9148 is divided by 1819.
53
Calculate the remainder when 17406 is divided by 205.
186
What is the remainder when 19138059 is divided by 20?
19
What is the remainder when 14807 is divided by 4672?
791
What is the remainder when 5241 is divided by 14?
5
What is the remainder when 139274 is divided by 477?
467
Calculate the remainder when 2401121 is divided by 82.
79
What is the remainder when 13691 is divided by 1369?
1
Calculate the remainder when 438287 is divided by 276.
275
What is the remainder when 14848 is divided by 249?
157
What is the remainder when 374424 is divided by 374416?
8
Calculate the remainder when 4332 is divided by 21.
6
What is the remainder when 43158 is divided by 40?
38
What is the remainder when 2447 is divided by 170?
67
What is the remainder when 591556 is divided by 115?
111
Calculate the remainder when 1591 is divided by 17.
10
Calculate the remainder when 112163 is divided by 603.
5
Calculate the remainder when 31624 is divided by 93.
4
Calculate the remainder when 9955 is divided by 323.
265
Calculate the remainder when 121814 is divided by 27.
17
What is the remainder when 2998 is divided by 25?
23
What is the remainder when 9256138 is divided by 843?
841
Calculate the remainder when 82105 is divided by 2932.
9
What is the remainder when 1275 is divided by 595?
85
What is the remainder when 4211 is divided by 4190?
21
What is the remainder when 5367 is divided by 28?
19
What is the remainder when 13413280 is divided by 757?
754
What is the remainder when 388116 is divided by 53?
50
Calculate the remainder when 2695 is divided by 1347.
1
What is the remainder when 49053 is divided by 32?
29
Calculate the remainder when 79005 is divided by 103.
4
Calculate the remainder when 2653 is divided by 24.
13
Calculate the remainder when 187688 is divided by 58.
0
Calculate the remainder when 217582 is divided by 108788.
6
Calculate the remainder when 125965 is divided by 189.
91
What is the remainder when 1289 is divided by 117?
2
What is the remainder when 935065 is divided by 11?
10
What is the remainder when 1784 is divided by 1639?
145
What is the remainder when 2606 is divided by 525?
506
Calculate the remainder when 7851 is divided by 394.
365
Calculate the remainder when 5821 is divided by 1940.
1
What is the remainder when 4995115 is divided by 19?
15
What is the remainder when 8098 is divided by 369?
349
Calculate the remainder when 115407 is divided by 5770.
7
Calculate the remainder when 9890 is divided by 46.
0
Calculate the remainder when 722903 is divided by 14.
13
What is the remainder when 32691 is divided by 63?
57
Calculate the remainder when 50278 is divided by 28.
18
Calculate the remainder when 121256 is divided by 9327.
5
Calculate the remainder when 15957 is divided by 15939.
18
Calculate the remainder when 1448158 is divided by 140.
138
Calculate the remainder when 2927 is divided by 2174.
753
What is the remainder when 7290 is divided by 460?
390
What is the remainder when 327084 is divided by 1062?
1050
Calculate the remainder when 56249 is divided by 3103.
395
What is the remainder when 17040 is divided by 589?
548
What is the remainder when 1309 is divided by 41?
38
What is the remainder when 1211496 is divided by 257?
255
What is the remainder when 25099 is divided by 965?
9
What is the remainder when 1707 is divided by 1668?
39
Calculate the remainder when 598322 is divided by 101.
99
Calculate the remainder when 9304 is divided by 121.
108
Calculate the remainder when 8327 is divided by 556.
543
What is the remainder when 8883 is divided by 112?
35
Calculate the remainder when 36861 is divided by 208.
45
Calculate the remainder when 132445 is divided by 75.
70
What is the remainder when 2162022 is divided by 524?
522
What is the remainder when 57809 is divided by 13?
11
Calculate the remainder when 89952 is divided by 151.
107
Calculate the remainder when 11606 is divided by 15.
11
What is the remainder when 952 is divided by 95?
2
What is the remainder when 39822 is divided by 9948?
30
Calculate the remainder when 404950 is divided by 359.
357
What is the remainder when 591579 is divided by 53?
46
Calculate the remainder when 778 is divided by 443.
335
Calculate the remainder when 7544 is divided by 14.
12
What is the remainder when 28696 is divided by 62?
52
What is the remainder when 636 is divided by 580?
56
What is the remainder when 1823 is divided by 234?
185
Calculate the remainder when 66406 is divided by 836.
362
What is the remainder when 3426 is divided by 264?
258
Calculate the remainder when 54287 is divided by 13.
12
What is the remainder when 352107 is divided by 13041?
0
What is the remainder when 308078 is divided by 71?
9
Calculate the remainder when 208398 is divided by 5.
3
Calculate the remainder when 15523 is divided by 5.
3
What is the remainder when 2958 is divided by 1531?
1427
Calculate the remainder when 94718 is divided by 47349.
20
Calculate the remainder when 37250 is divided by 1864.
1834
Calculate the remainder when 3628 is divided by 1157.
157
Calculate the remainder when 22020 is divided by 107.
85
What is the remainder when 79420 is divided by 36?
4
What is the remainder when 298359 is divided by 1530?
9
Calculate the remainder when 3891 is divided by 258.
21
What is the remainder when 102101 is divided by 66?
65
What is the remainder when 188145 is divided by 142?
137
What is the remainder when 5220 is divided by 31?
12
What is the remainder when 999 is divided by 566?
433
Calculate the remainder when 700 is divided by 94.
42
Calculate the remainder when 1424 is divided by 177.
8
What is the remainder when 126489 is divided by 139?
138
What is the remainder when 222833 is divided by 64?
49
Calculate the remainder when 1794703 is divided by 33.
31
Calculate the remainder when 35833 is divided by 164.
81
What is the remainder when 17886 is divided by 23?
15
What is the remainder when 8132 is divided by 354?
344
Calculate the remainder when 269651 is divided by 144.
83
Calculate the remainder when 4099 is divided by 903.
487
What is the remainder when 248636 is divided by 663?
11
What is the remainder when 11636 is divided by 1162?
16
What is the remainder when 3249 is divided by 425?
274
What is the remainder when 547731 is divided by 34?
25
What is the remainder when 1004932 is divided by 53?
52
Calculate the remainder when 2944 is divided by 404.
116
What is the remainder when 20081 is divided by 2008?
1
Calculate the remainder when 1263 is divided by 11.
9
What is the remainder when 43782 is divided by 63?
60
Calculate the remainder when 2617 is divided by 20.
17
Calculate the remainder when 12771 is divided by 6354.
63
What is the remainder when 437722 is divided by 145902?
16
What is the remainder when 1757 is divided by 70?
7
Calculate the | {
"pile_set_name": "DM Mathematics"
} |
(a + 1)
Suppose -5*t**2 - 215*t + 3640 = 0. Calculate t.
-56, 13
Factor 3*g**2 + 3*g.
3*g*(g + 1)
What is k in -k**2/5 + 4206*k/5 - 4422609/5 = 0?
2103
Solve -2*x**5/15 + 554*x**4/15 - 12508*x**3/5 - 23296*x**2/3 - 15680*x/3 = 0.
-2, -1, 0, 140
Factor -841*u**2/6 - 58*u/3 - 2/3.
-(29*u + 2)**2/6
Factor l**5/3 + 4*l**4/3 - 35*l**3/3 - 2*l**2 + 48*l.
l*(l - 3)**2*(l + 2)*(l + 8)/3
What is o in o**5/3 - 11*o**4/6 - 17*o**3/2 + 46*o**2/3 - 16*o/3 = 0?
-4, 0, 1/2, 1, 8
Suppose b**2/6 - 253*b/3 + 64009/6 = 0. What is b?
253
Factor -q**2/3 + 5*q/3.
-q*(q - 5)/3
Factor -5*k**3 - 25*k**2 + 110*k + 280.
-5*(k - 4)*(k + 2)*(k + 7)
Find t such that 2*t**2 - 52*t/3 + 32/3 = 0.
2/3, 8
Let 2*a**4/11 + 542*a**3/11 + 47430*a**2/11 + 1193562*a/11 - 12869712/11 = 0. What is a?
-93, 8
Solve p**3 + 31*p**2 - 65*p + 33 = 0.
-33, 1
Find x, given that 2*x**5/13 + 368*x**4/13 + 1444*x**3/13 + 712*x**2/13 - 1446*x/13 - 1080/13 = 0.
-180, -3, -1, 1
Factor -n**4/2 - 9*n**3 + 80*n**2 - 183*n + 225/2.
-(n - 3)**2*(n - 1)*(n + 25)/2
Factor 4*w**4 + 4*w**3 - 40*w**2 + 32*w.
4*w*(w - 2)*(w - 1)*(w + 4)
Find l such that 5*l**4 - 35*l**3 + 20*l**2 + 60*l = 0.
-1, 0, 2, 6
Factor -u**2 - 216*u - 215.
-(u + 1)*(u + 215)
Determine o, given that -2*o**3 - 107*o**2/2 - 341*o/2 + 46 = 0.
-23, -4, 1/4
Solve -2*m**4/7 + 8*m**3/7 + 6*m**2/7 - 4*m + 16/7 = 0.
-2, 1, 4
Factor 22*n**3 - 48*n**2 - 58*n + 12.
2*(n - 3)*(n + 1)*(11*n - 2)
Factor -2*l**3/3 - 8*l**2/3 + 440*l/3 + 896/3.
-2*(l - 14)*(l + 2)*(l + 16)/3
Suppose -9*a**4/7 - 507*a**3/7 - 162*a**2 + 12*a/7 + 648/7 = 0. Calculate a.
-54, -2, -1, 2/3
Factor -78*t**3/11 + 628*t**2/11 - 32*t/11.
-2*t*(t - 8)*(39*t - 2)/11
Factor 3*u**5 - 17*u**4 + 35*u**3 - 31*u**2 + 10*u.
u*(u - 2)*(u - 1)**2*(3*u - 5)
Find i such that 4*i**2/7 + 1592*i/7 + 158404/7 = 0.
-199
Find g such that -g**5/4 - g**4/2 + g**3/4 + g**2/2 = 0.
-2, -1, 0, 1
Suppose -k**3 - 308*k**2 - 1519*k - 1212 = 0. What is k?
-303, -4, -1
Factor 2*x**2/17 - 208*x/17 + 5408/17.
2*(x - 52)**2/17
What is h in -14*h**5/9 - 6*h**4 + 2*h**3/9 + 134*h**2/9 + 4*h/3 - 80/9 = 0?
-20/7, -2, -1, 1
Solve -2*p**4 + 2*p**3 + 6*p**2 - 2*p - 4 = 0.
-1, 1, 2
Factor 4*d**5 + 136*d**4 + 260*d**3 + 128*d**2.
4*d**2*(d + 1)**2*(d + 32)
Factor 5*a**2 - 79*a - 102.
(a - 17)*(5*a + 6)
What is h in -3*h**4 - 807*h**3 - 73656*h**2 - 2392896*h - 10222080 = 0?
-88, -5
Let -2*v**2 - 26*v - 24 = 0. Calculate v.
-12, -1
Let 20*l**4 + 92*l**3 - 300*l**2 + 244*l - 56 = 0. Calculate l.
-7, 2/5, 1
Solve 4*i**2 + 28*i + 48 = 0 for i.
-4, -3
What is l in 2*l**2 + 768*l + 73728 = 0?
-192
Find x, given that 2*x**3/9 + 16*x**2/9 + 22*x/9 - 40/9 = 0.
-5, -4, 1
Determine l, given that l**3 + 4*l**2 + l - 6 = 0.
-3, -2, 1
Let -2*d**3/11 - 6*d**2/11 + 794*d/11 + 798/11 = 0. Calculate d.
-21, -1, 19
Factor -d**2 + 10*d.
-d*(d - 10)
Solve 10*u**5 - 22*u**4 - 26*u**3 + 46*u**2 + 32*u - 8 = 0.
-1, 1/5, 2
Factor 4*t**5 + 64*t**4 + 168*t**3 + 160*t**2 + 52*t.
4*t*(t + 1)**3*(t + 13)
Find q, given that -10*q**4 - 1346*q**3/5 - 9642*q**2/5 - 1534*q + 676/5 = 0.
-13, -1, 2/25
Find z, given that z**4/2 + 11*z**3/2 + 29*z**2/2 - 35*z/2 - 75 = 0.
-5, -3, 2
Factor -5*i**4 + 145*i**3 - 390*i**2 - 20*i + 520.
-5*(i - 26)*(i - 2)**2*(i + 1)
Factor -a**4 + 4*a**3 + a**2 - 4*a.
-a*(a - 4)*(a - 1)*(a + 1)
What is g in 3*g**4 + 84*g**3 - 3*g**2 - 84*g = 0?
-28, -1, 0, 1
Factor -n**5/7 - 4*n**4/7 - 5*n**3/7 - 2*n**2/7.
-n**2*(n + 1)**2*(n + 2)/7
Factor -s**3/3 - 5*s**2/3.
-s**2*(s + 5)/3
Solve 4*k**2 + 596*k - 600 = 0 for k.
-150, 1
Let 18*d**5/19 + 96*d**4/19 + 80*d**3/19 - 164*d**2/19 - 66*d/19 + 36/19 = 0. Calculate d.
-3, -2/3, 1/3, 1
Determine o, given that 5*o**5 - 120*o**4 + 270*o**3 + 920*o**2 + 525*o = 0.
-1, 0, 5, 21
Factor 4*x**4 - 28*x**3 - 836*x**2 + 7260*x.
4*x*(x - 11)**2*(x + 15)
Find h such that -2*h**5/9 + 4*h**4/3 - 14*h**3/9 - 4*h**2/3 + 16*h/9 = 0.
-1, 0, 1, 2, 4
Determine a, given that 66*a**5/13 - 1178*a**4/13 + 480*a**3 - 680*a**2 + 4224*a/13 - 512/13 = 0.
2/11, 2/3, 1, 8
Find t, given that 3*t**2 + 3*t - 18 = 0.
-3, 2
Determine z, given that -20*z**3 + 7132*z**2 - 637952*z + 380208 = 0.
3/5, 178
Factor z**2/2 + 245*z/2 + 122.
(z + 1)*(z + 244)/2
Solve -p**2/4 - 5*p/4 = 0 for p.
-5, 0
Factor g**5/7 - 5*g**4/7.
g**4*(g - 5)/7
Factor -2*o**4/19 + 74*o**3/19.
-2*o**3*(o - 37)/19
Factor -f**2/2 + 5463*f/10 + 1093/5.
-(f - 1093)*(5*f + 2)/10
Factor 3*m**4 - 225*m**3/2 + 2691*m**2/2 - 8619*m/2 - 19773/2.
3*(m - 13)**3*(2*m + 3)/2
Let -4*g**4/3 + 30*g**3 - 122*g**2/3 - 28*g = 0. What is g?
-1/2, 0, 2, 21
What is u in 2*u**5/7 - 72*u**4/7 - 344*u**3/7 + 960*u**2/7 = 0?
-6, 0, 2, 40
Let 63*f**5/4 - 93*f**4 + 180*f**3 - 108*f**2 - 12*f = 0. What is f?
-2/21, 0, 2
Solve -h**2/2 + 137*h/2 = 0.
0, 137
Find y, given that 4*y**2/3 - 24*y - 160/3 = 0.
-2, 20
Solve -4*o**2 + 116*o - 216 = 0.
2, 27
Find l, given that -4*l**5 + 704*l**4 - 33424*l**3 + 196416*l**2 + 1209600*l + 1354752 = 0.
-2, 12, 84
Determine h, given that 15*h**3 + 73*h**2 - 220*h + 28 = 0.
-7, 2/15, 2
Let 2*x**2 + 120*x + 118 = 0. Calculate x.
-59, -1
Factor -2*x**5/13 - 2*x**4/13 + 64*x**3/13 + 272*x**2/13 + 32*x + 224/13.
-2*(x - 7)*(x + 2)**4/13
Factor -d**4/5 - 2*d**3 - 13*d**2/5 + 12*d - 36/5.
-(d - 1)**2*(d + 6)**2/5
Find o, given that -2*o**4 + 37*o**3 - 112*o**2 + 107*o - 30 = 0.
1/2, 1, 2, 15
Suppose 2*b**2/9 + 2*b/9 - 4/9 = 0. What is b?
-2, 1
Factor -4*y**5 + 68*y**4.
-4*y**4*(y - 17)
Find p, given that 4*p**2 - 364*p - 368 = 0.
-1, 92
Factor i**2 - 251*i - 252.
(i - 252)*(i + 1)
Solve -3*u**3/2 - 33*u**2/2 + 141*u - 204 = 0.
-17, 2, 4
Determine y, given that 2*y**3 - 38*y**2/5 + 22*y/5 + 6/5 = 0.
-1/5, 1, 3
Factor 20*n**3 + 8045*n**2 - 14150*n - 4040.
5*(n - 2)*(n + 404)*(4*n + 1)
Solve 3*o**5/2 - 51*o**4 - 225*o**3/2 + 156*o**2 + 222*o - 216 = 0.
-2, 1, 36
Factor 4*b**3/3 - 136*b**2/3 + 380*b/3 - 248/3.
4*(b - 31)*(b - 2)*(b - 1)/3
Determine v, given that 4*v**4 + 28*v**3 - 12*v**2 - 92*v - 56 = 0.
-7, -1, 2
Factor -46*c**2/7 + 52*c + 32/7.
-2*(c - 8)*(23*c + 2)/7
Find j, given that -2*j**4 + 6*j**3 + 54*j**2 - 118*j + 60 = 0.
-5, 1, 6
What is g in g**4/4 + g**3/2 - 5*g**2/4 - 3*g/2 = 0?
-3, -1, 0, 2
Factor 4*m**2 - 16*m - 660.
4*(m - 15)*(m + 11)
Factor 4*p**5 - 16*p**4 - 20*p**3.
4*p**3*(p - 5)*(p + 1)
Suppose b**4/2 + 25*b**3/2 + 109*b**2/2 - 297*b/2 + 81 = 0. Calculate b.
-18, -9, 1
Suppose -4*u**4 + 148*u**3 + 16*u**2 - 592*u = 0. Calculate u.
-2, 0, 2, 37
Factor 3*y**4 + 144*y**3 + 1725*y**2 - 144*y - 1728.
3*(y - 1)*(y + 1)*(y + 24)**2
Factor -7*n**3/6 - 19*n**2/6 - 4*n/3 + 2/3.
-(n + 1)*(n + 2)*(7*n - 2)/6
Factor -b**2 - 327*b.
-b*(b + 327)
Suppose -x**2/5 + 314*x/5 + 2907/5 = 0. Calculate x.
-9, 323
Let k**3 + 40*k**2 + 308*k - 1936 = 0. Calculate k.
-22, 4
Factor 2*y**4/15 - 4*y**3/3.
2*y**3*(y - 10)/15
Find l such that l**3 + 96*l**2 + 2205*l - 4802 = 0.
-49, 2
What is b in 4*b**2 - 1656*b + 171396 = 0?
207
Find w, given that -w**3 + 28*w**2 - 27*w = 0.
0, 1, 27
Factor -x**2/5 + 3*x/5.
-x*(x - 3)/5
Find f such that f**2 + 36*f - 37 = 0.
-37, 1
Suppose -v**2 + 78*v - 152 = 0. Calculate v.
2, 76
Factor -4*p**3 + 48*p**2 + 256*p.
-4*p*(p - 16)*(p + 4)
Solve 4*b**4 + 68*b**3 - 228*b**2 + 236*b - 80 = 0.
-20, 1
What is a in -a**5/4 - 15*a**4/4 = 0?
-15, 0
Solve -289*l**3/2 + 391*l**2 - 222*l + 36 = 0 for l.
6/17, 2
Factor 2*p**3/5 + 2*p**2/5 - 2*p + 6/5.
2*(p - 1)**2*(p + 3)/5
Let h**2/5 + 274*h/5 = 0. What is h?
-274, 0
Let -3*w**5 + 21*w**4 + 207*w**3 + 363*w**2 - 120*w - 468 = 0. Calculate w.
-3, -2, 1, 13
Solve -c**4/3 + 301*c**3/3 - 299*c**2 + 895*c/3 - 298/3 = 0 for c.
1, 298
Factor -2*a**3 - 1322*a**2 + 3984*a.
-2*a*(a - 3)*(a + 664)
Factor -2*y**2/7 + 128*y/7 + 544/7.
-2*(y - 68)*(y + 4)/7
Factor a**3 - 42*a**2 + 540*a - 1944.
(a - 18)**2*(a - 6)
Factor 20*s**3 - 884*s**2 + 1000*s + 1376.
4*(s - 43)*(s - 2)*(5*s + 4)
Factor 2*k**3 - 606*k**2 + 46206*k - 45602.
2*(k - 151)**2*(k - 1)
Factor -d**5/7 - 75*d**4/7 - 2160*d**3/7 - 29160*d**2/7 - 174960*d/7 - 314928/7.
-(d + 3)*(d + 18)**4/7
Suppose -b**3 + 15*b**2 + b - 15 = 0. Calculate b.
-1, 1, 15
What is r in 3*r**2/5 - 96*r/5 + 93/5 = 0?
1, 31
Factor 4*p**2 + 43488*p + 118200384.
4*(p + 5436)**2
Find q such that 2*q**3/9 + 44*q**2/9 - 94*q/9 + 16/3 = 0.
-24, 1
Factor -2*l**5 + 20*l**4 + 48 | {
"pile_set_name": "DM Mathematics"
} |
+ r. Is b a prime number?
False
Suppose 33*c - 505099 = 43427. Is c a prime number?
False
Let d = -7 + 12. Suppose f + f + 3*k - 453 = 0, 0 = 4*f - d*k - 851. Is f prime?
False
Let q = -5 - -2. Let p(c) = -c**3 - 3*c**2 + 4. Let y be p(q). Suppose -y*j = 3*o - 327 - 137, j - 129 = -4*o. Is j a prime number?
True
Suppose 52*q + 18 = 58*q. Suppose -4*x + 5*h = -1205, -x - h + 299 = -q*h. Is x prime?
False
Let z(w) = w**3 + 13*w**2 + 7*w + 2. Suppose 0 = b - 0*b + 9. Let i be z(b). Suppose 5*v - 482 - i = 0. Is v prime?
True
Let d(a) = -22 - 4 + 13 + 70*a. Let l be ((-64)/(-20))/(2/5). Is d(l) a composite number?
False
Let g be (1 + -6)*(-5 - -4). Is 8/(-36) - ((-70850)/18)/g prime?
True
Let l(y) = -102*y - 19. Is l(-5) composite?
False
Let x be 28/4 + 2 + -4. Is (x - 0)*(-21)/(-15) composite?
False
Suppose -4*a = -4*x + 1977 + 271, -2810 = 5*a - x. Let m = 1959 + a. Is m a composite number?
True
Suppose 0 = -3*m - 6, 17386 = -3*r + 5*r - 2*m. Let u = r - -1665. Is (-2)/3 - u/(-36) prime?
False
Let k = 4761 - 2824. Suppose -3*v = 3*a - 1932, 3*a - k = -0*v - 2*v. Is a a composite number?
True
Let i = -3 - -5. Suppose i*f - 2 = 4. Suppose -2*w - 3*w - f*q = -262, -5 = 5*q. Is w prime?
True
Let b(x) = 2*x + 34 - 15*x - 10*x. Is b(-19) prime?
False
Let j(w) = 29*w**2 - 2*w + 3. Is j(2) prime?
False
Suppose 33364 = 5*j - 2*k - 12089, 2*j = 2*k + 18180. Is j a prime number?
True
Let n = 2922 + 1549. Is n composite?
True
Is 94/(-4)*(3 - (-6 - -91)) composite?
True
Suppose -p - 2*a = -4*a - 8, 0 = 2*p - 3*a - 13. Let v(x) = -14*x - 4 - x**3 + 6*x**p + 21*x - 3 + 2*x**2. Is v(7) prime?
False
Suppose -2*h + 2*r = 724, 6*h + 5*r = h - 1780. Suppose -2*a - 3*x - 1002 = 3*a, a + 204 = 3*x. Let k = a - h. Is k a prime number?
False
Let u(n) = 9*n**2 - 45*n - 7. Is u(-13) composite?
False
Suppose 6814 = -3*l + c, -2*c + 7*c - 2248 = l. Let u = -289 + 1507. Let p = u - l. Is p a composite number?
False
Let s = 21 + -16. Suppose -j = -s*f + 2917, 6*f - f - 3*j = 2921. Is f a prime number?
False
Let b be (4 + -5)*(1 + -4). Let z(r) = -11*r**3 + 2*r. Let x be z(b). Is (3 - 0) + -3 - x composite?
True
Let l be (-18)/(-30) + 3/(-5). Suppose -5*d = -l*d - 15. Suppose -622 = d*w - 5*w. Is w a prime number?
True
Let p = 4656 - 757. Is p a prime number?
False
Suppose -3809 = -m + 2*z, 0 = -6*z + 19 + 5. Is m prime?
False
Let z(l) = -l**3 - 8*l**2 + 14*l - 1. Suppose 6*m + 65 = -7. Is z(m) a prime number?
False
Let n(m) = 2*m**2 - 9*m + 10. Let z be n(5). Is -3*(0 - 265/z) a prime number?
True
Let d(o) = -83*o - 15. Is d(-16) a prime number?
False
Suppose -2*z = 5*m - 4*z - 7437, -z = -5*m + 7441. Suppose 3*c + m = 5*d - 3381, 5*c = 2*d - 1929. Is d prime?
True
Suppose 4*a - 2*a = -4*h - 1902, 2*a = 5*h + 2391. Let w = 916 + h. Is w a composite number?
False
Let d be ((3/(-6)*0)/2)/(-2). Suppose -13*g + 0*g + 19253 = d. Is g a composite number?
False
Let a(h) = 76*h**3 - 2*h**2 + 11. Is a(5) composite?
False
Suppose 5*f + 1351 + 2212 = 3*p, 0 = -p - 4*f + 1199. Is p composite?
True
Suppose 4*h = 2*m + 884, 0 = 3*m + 3*h - 0*h + 1371. Let v = 1417 + m. Is v prime?
False
Suppose -5*v + 54485 = o + 4*o, 4*o + 5*v - 43591 = 0. Is o/8 - (-3)/(-12)*3 prime?
True
Let a(d) = d**2 + 8*d - 5. Let z = -19 - -16. Let g(h) = -2*h**2 - 16*h + 10. Let b(r) = z*g(r) - 5*a(r). Is b(6) composite?
False
Let x(q) = -q**3 - 5*q**2 + 6*q + 2. Let f be x(-6). Suppose 564 = f*j - 2*z, -j + z + 267 = -3*z. Is j composite?
True
Let c = -76 + 313. Suppose -m = -c - 1160. Is m a prime number?
False
Suppose -5*h = -5*l - 3878 + 19228, 0 = 2*l - h - 6141. Is l composite?
True
Suppose 3*a = 2*a + 16. Suppose 2779 = 3*g - 4*k, -8*k - a = -4*k. Is g a composite number?
True
Let m(p) = -p + 13. Let y be m(17). Is 439*1*(-5)/(-1 + y) prime?
True
Is (-1)/((11/131549)/(1/(-1))) prime?
True
Let d be ((-18)/(-15))/(1/15). Suppose f + 2*f = d. Suppose 0 = -3*q - f, 2*r - 2*q - 819 = -3*r. Is r a composite number?
False
Suppose -60*y + 16*y = -417164. Is y a composite number?
True
Suppose 5559 = x - 7510. Is x prime?
False
Suppose -1762 - 650 = -12*r. Is r prime?
False
Is (-1*831/(-15))/((-3)/(-105)) prime?
False
Suppose 5*a = 5*x - 4*x - 11, -x + a = -15. Suppose -7*g = -x*g + 2763. Is g composite?
False
Is (-20266)/6*(2 - -7)/(-3) a composite number?
False
Let v(q) = -36*q**3 - 8*q**2 - 2*q + 1. Is v(-3) a composite number?
False
Let t(g) = -5*g**2 + 3 + 16*g**2 + 6*g**2 + 7*g - 4*g. Is t(-5) prime?
False
Let c(f) = 2*f - 8. Let n be c(6). Suppose -n*x - 3*x + 12551 = 0. Suppose x = 4*k - 3*d, -d = 3*k + 3*d - 1351. Is k a prime number?
True
Suppose 0 = 3*l - 2*h + 1192 + 229, -4*l - 3*h = 1923. Let w = 724 + l. Is w a composite number?
True
Suppose 0 = -15*r + 7*r + 48. Is (-142)/(-3) + 4/r + -2 a composite number?
True
Let x(h) = -h**3 + 20*h**2 + 2*h - 24. Let y be x(20). Is (176/y)/((-2)/(-10)) prime?
False
Suppose 6314 = 2*m + 4*o, -3*m + o + 3*o = -9471. Suppose -4*h = c - m, -3*h + 788 = -2*h - c. Is h a composite number?
True
Let x be 48/(-120) - (-12)/5. Suppose -x*c + 971 = y + c, c + 1942 = 2*y. Is y a prime number?
True
Let r be (-4)/(-16) + (-1202)/8. Let g(d) = 5*d**3 + d**2 - 6*d + 4. Let m be g(-3). Let p = m - r. Is p composite?
True
Suppose -10*x + 13218 = -4*x. Is x composite?
False
Let a = -100 - -105. Is 4/(-10) - (-3957)/a a composite number?
True
Let h = -903 + 1444. Is h composite?
False
Let s be (-2 + 1 + -365)*1. Let n = s - -160. Let b = n + 463. Is b a composite number?
False
Let b = 68 - 62. Let t(c) = 284*c - 31. Is t(b) a composite number?
True
Suppose 5*d = 5*z + 40, 3*d - 4*z = 11 + 18. Suppose d*h - 2*h = 2. Suppose 0 = v - 5*i - 28, -v + h*v + 3*i = 68. Is v composite?
False
Let g(l) = 216*l + 3. Let a(h) = 1. Let j(i) = -3*a(i) - g(i). Let d be j(-13). Suppose 0 = 5*u - d - 563. Is u a composite number?
False
Let q(y) = -y**3 - 4. Let b be q(0). Let o be (-4 + 2)/(b/8). Suppose -4528 = -o*l - 4*s, -3*s - 458 - 5242 = -5*l. Is l prime?
False
Let k(b) = -b**3 + 15*b**2 + 20*b - 25. Is k(-24) a prime number?
False
Let k = -150 - -345. Suppose 0 = -2*s + 2, -5*s + k = -4*h + 518. Let b = h + 1. Is b prime?
True
Suppose g - 3*v + 6*v = 21689, -5*g + 4*v = -108521. Is g prime?
True
Let z = -159096 + 223205. Is z a composite number?
False
Suppose -6232 = -o + 3*m, -2*m = -2*o - 3*o + 31186. Suppose 2*s + 2*s = -2*z + 3110, -s - o = -4*z. Is z prime?
True
Let b = -21 + 25. Let p be ((-24)/((-16)/b))/1. Is -3 + 37 - 18/p a composite number?
False
Let g be 2/(-11) + (-3120)/143. Is (-8)/(-44) + (-4462)/g composite?
True
Let z be 18/45*5*1. Suppose -5*q + 701 - 144 = -4*w, -z*q + 3*w = -220. Is q a prime number?
True
Is 3 - (-45286 - (2 - (2 + 0))) prime?
True
Suppose -4*u = s - 74995, -5*u = 3*s - 124713 - 100300. Is s a composite number?
False
Let r(l) = -l**2 - 4*l + 3. Let q be r(-4). Suppose -4*p + 388 = 2*i, -q*p + 381 = 2*i + 90. Is p prime?
True
Let q(c) = c + 2. Suppose -10*d + 3 = -7*d. Suppose x = -4*j + 12, -2*j = -x - d + 7. Is q(x) composite?
True
Suppose -20 = -5*u + 2*a - 0*a, -4*u - 3*a = 7. Suppose 0*m = -u*m + 10. Suppose m*g - 10*g = -665. Is g a prime number?
False
Let s(h) be the second derivative of -3*h**5/20 + 5*h**4/12 + 7*h**3/6 + 14*h**2 + 34*h. Is s(-7) a composite number?
True
Let k = 24 + -20. Suppose 0 = 4*s + 8, -2*q - k*s + 204 + 64 = 0. Suppose -x - 2*g = -3*g - q, 3*g = -5*x + 714. Is x prime?
False
Let i(g) = -121*g + 9. Suppose 0 = 4*m + m + 10. Is i(m) a prime number?
True
Suppose -2247 - 48473 = -5*j. Suppose -3*f - 2*s + j = 0, -f - 2*f + 10119 = -3*s. Suppose 5*x - f = -x. Is x a composite number?
False
Suppose -11*u = 833 - 31270. Suppose 0 = -4*v - 5*w + 5531, -2*v + 4*w + u = 7*w. Is v composite?
True
Let f be 2/(-2) + 1 + 0/(-3). Suppose 2*p - 698 = -2*r + 138, -3*r - 4*p + 1257 = f. Is r a composite number?
True
Let s(f) = -332*f - 41. Is s(-27) composite?
False
Let i be 3/(-5) + (-396)/(-60). Suppose -c + i*c + 405 = 0. Is (-14643)/c - 4/(-18) prime?
True
Let n be 3/((-4)/10784*6). Let k = -2318 - n. Is -2*(-1 - k/(-4)) prime?
True
Let p = -161 + 275. Suppose -o + 575 = -p. Is o composite?
True
Let s = 59 + -58. Is (2051/21)/((1 + s)/6) prime?
True
Let h(v) = 2*v**2 + 20*v - 2. Let w be h(-10). Is (w/(-2 - 0))/((-35)/(-41755)) a com | {
"pile_set_name": "DM Mathematics"
} |
of 11185 and 52578448?
2237
Calculate the highest common divisor of 203604 and 4028.
76
Calculate the highest common factor of 230952 and 328.
8
What is the greatest common factor of 163432 and 22816?
248
What is the highest common factor of 1275182 and 492?
82
Calculate the highest common factor of 10330819 and 139641.
523
Calculate the highest common divisor of 13621472 and 5311.
113
What is the greatest common divisor of 3934100 and 840?
20
Calculate the greatest common factor of 8734620 and 7660.
20
What is the greatest common factor of 252 and 54063786?
42
Calculate the highest common divisor of 8083 and 4103627.
59
Calculate the greatest common divisor of 88 and 87704.
8
Calculate the greatest common divisor of 1698630 and 375.
15
What is the greatest common factor of 1835950 and 89790?
730
Calculate the greatest common divisor of 73152 and 1345311.
1143
What is the highest common factor of 33888894 and 342?
114
What is the highest common factor of 3856 and 115712776?
1928
What is the highest common divisor of 854 and 288979082?
854
What is the highest common factor of 16037 and 49329?
203
Calculate the highest common divisor of 22353408 and 37800.
1512
What is the greatest common factor of 1140427 and 143803?
769
What is the greatest common factor of 515 and 139552743?
103
Calculate the greatest common factor of 30597354 and 18.
18
What is the highest common divisor of 66 and 93939186?
66
What is the highest common divisor of 332 and 24032?
4
What is the highest common factor of 3 and 152458?
1
Calculate the highest common factor of 2020 and 5180780.
20
Calculate the highest common factor of 255856537 and 3628.
907
What is the highest common factor of 265058255 and 7?
7
What is the highest common divisor of 176145216 and 2496?
2496
What is the greatest common divisor of 37366968 and 24?
24
What is the greatest common factor of 58912 and 4725847?
1841
What is the highest common divisor of 11 and 230830721?
11
Calculate the highest common factor of 2657125 and 757625.
3625
What is the highest common divisor of 14139641 and 23276?
529
Calculate the highest common divisor of 25648 and 766234.
3206
What is the highest common factor of 24 and 33722496?
24
What is the greatest common factor of 403005 and 519295?
2005
Calculate the highest common divisor of 2560 and 22576000.
640
What is the greatest common factor of 672096 and 10884?
12
What is the highest common divisor of 12558272 and 64?
64
What is the greatest common divisor of 117056 and 17728?
64
Calculate the highest common divisor of 8326 and 101000534.
362
What is the greatest common factor of 50 and 73198480?
10
Calculate the highest common divisor of 6831 and 1807623.
27
What is the greatest common divisor of 182872185 and 135?
15
What is the greatest common divisor of 2497085 and 26533?
157
Calculate the greatest common factor of 8637189 and 183117.
1023
What is the highest common factor of 114 and 2369984?
38
What is the highest common factor of 13480985 and 1855?
35
Calculate the highest common factor of 526635 and 14715.
135
Calculate the greatest common divisor of 543 and 28650852.
543
Calculate the greatest common factor of 3397215 and 464830.
4945
What is the highest common factor of 78756862 and 152?
38
What is the greatest common factor of 6 and 8275746?
6
Calculate the highest common divisor of 1420 and 3312520.
20
What is the greatest common divisor of 247676742 and 3933?
3933
Calculate the greatest common divisor of 10085 and 23191466.
2017
What is the highest common divisor of 64 and 1972298?
2
Calculate the highest common factor of 751050 and 15300.
450
What is the greatest common divisor of 3071658 and 236?
118
Calculate the highest common divisor of 30756 and 60324.
132
What is the highest common divisor of 109670554 and 86?
86
What is the greatest common factor of 255 and 11486271?
51
What is the greatest common factor of 86350 and 129250?
550
Calculate the greatest common factor of 8195439 and 45570.
651
What is the highest common divisor of 6779745 and 3285?
45
What is the greatest common divisor of 80 and 3394660?
20
Calculate the greatest common divisor of 475495 and 488.
61
Calculate the greatest common factor of 315909 and 730739.
3191
What is the highest common factor of 5512138 and 1?
1
Calculate the highest common divisor of 2147958 and 6642.
162
What is the greatest common divisor of 18290 and 17784370?
590
What is the greatest common factor of 7607078 and 906?
302
What is the greatest common factor of 1030 and 2584080?
10
Calculate the greatest common factor of 14 and 893690042.
14
Calculate the greatest common factor of 4378745 and 280.
35
Calculate the highest common factor of 15203 and 4393.
23
Calculate the greatest common divisor of 5753085120 and 18.
18
Calculate the greatest common factor of 297692 and 14402.
38
What is the greatest common factor of 1107027 and 96534?
1557
Calculate the highest common factor of 513 and 5251201.
19
What is the greatest common factor of 1199 and 306473883?
109
What is the highest common factor of 353652872 and 302?
302
What is the greatest common factor of 5051547 and 7599?
447
Calculate the greatest common factor of 239880 and 66360.
120
Calculate the highest common divisor of 3903 and 40102024.
1301
What is the greatest common factor of 1091759 and 10871?
1553
What is the highest common factor of 185 and 770331305?
185
What is the highest common divisor of 766267670 and 70?
70
Calculate the highest common divisor of 91002 and 2436.
174
Calculate the greatest common divisor of 5 and 5496190.
5
Calculate the greatest common factor of 254065 and 2805085.
5185
Calculate the greatest common factor of 106250 and 48931250.
6250
Calculate the greatest common factor of 355 and 7950793.
71
What is the highest common factor of 3965423 and 4204?
1051
Calculate the highest common divisor of 851 and 33234103.
851
What is the highest common factor of 528451595 and 315?
35
What is the greatest common divisor of 4754268 and 828?
36
Calculate the greatest common factor of 18914250 and 3450.
150
What is the greatest common divisor of 556 and 309767338?
278
What is the greatest common factor of 532 and 335390356?
532
Calculate the greatest common divisor of 5615269 and 209.
11
What is the greatest common divisor of 368 and 124542608?
368
Calculate the highest common divisor of 169752 and 31768.
88
Calculate the greatest common factor of 22864080 and 320.
80
What is the highest common factor of 161109 and 1599?
39
What is the greatest common factor of 1800 and 53544744?
72
What is the highest common factor of 98394902 and 10276?
734
What is the highest common divisor of 465905 and 231770?
2365
What is the highest common factor of 56331 and 2101?
11
What is the highest common divisor of 77608883 and 22?
11
What is the greatest common divisor of 8 and 2655896608?
8
Calculate the greatest common factor of 1362317020 and 10.
10
Calculate the greatest common divisor of 1984380 and 247860.
60
Calculate the greatest common divisor of 3458 and 2636858.
266
Calculate the greatest common divisor of 140900890 and 31.
31
What is the greatest common factor of 184 and 15019736?
184
Calculate the highest common divisor of 27938 and 910046.
458
What is the greatest common divisor of 17008 and 1709872?
16
What is the greatest common divisor of 432881 and 67424?
43
What is the greatest common factor of 39519765 and 54?
27
What is the greatest common factor of 29164084 and 876?
292
What is the greatest common divisor of 11256933 and 1086?
543
What is the highest common divisor of 275 and 3481841?
11
Calculate the highest common divisor of 785721 and 9231.
543
What is the highest common divisor of 169267 and 1855?
7
Calculate the greatest common factor of 33 and 10528713.
3
Calculate the highest common divisor of 81221 and 3227.
7
What is the greatest common factor of 5 and 266946235?
5
Calculate the highest common factor of 336 and 608461.
7
Calculate the highest common factor of 783371 and 218470.
3121
What is the highest common divisor of 77908800 and 120?
120
Calculate the highest common divisor of 93783872 and 1664.
832
Calculate the greatest common factor of 178 and 422389461.
89
Calculate the greatest common factor of 13420 and 270230.
610
Wha | {
"pile_set_name": "DM Mathematics"
} |
- 1
What is the t'th term of -71015, -142002, -212989, -283976, -354963?
-70987*t - 28
What is the u'th term of -99, -235, -423, -663, -955?
-26*u**2 - 58*u - 15
What is the c'th term of 8, 18, 0, -58, -168, -342?
-2*c**3 - 2*c**2 + 30*c - 18
What is the f'th term of -361, -326, -239, -76, 187, 574, 1109, 1816?
4*f**3 + 2*f**2 + f - 368
What is the o'th term of -6593, -6568, -6495, -6350, -6109, -5748, -5243, -4570?
4*o**3 - 3*o - 6594
What is the o'th term of -878, -1485, -2118, -2777, -3462, -4173, -4910?
-13*o**2 - 568*o - 297
What is the j'th term of -2780, -11105, -24972, -44381, -69332?
-2771*j**2 - 12*j + 3
What is the w'th term of 207, 850, 1921, 3420, 5347, 7702, 10485?
214*w**2 + w - 8
What is the f'th term of 5005, 9999, 14993, 19987?
4994*f + 11
What is the x'th term of 1042019, 1042015, 1042011, 1042007, 1042003, 1041999?
-4*x + 1042023
What is the b'th term of 317, 2506, 8443, 20000, 39049, 67462, 107111, 159868?
312*b**3 + 2*b**2 - b + 4
What is the x'th term of -613, -1138, -1657, -2170, -2677?
3*x**2 - 534*x - 82
What is the w'th term of -7613, -15177, -22725, -30257?
8*w**2 - 7588*w - 33
What is the o'th term of 92, 180, 274, 374, 480, 592, 710?
3*o**2 + 79*o + 10
What is the g'th term of -26152, -26149, -26144, -26137, -26128, -26117, -26104?
g**2 - 26153
What is the r'th term of -11584, -23167, -34750, -46333?
-11583*r - 1
What is the p'th term of -897861, -897860, -897859, -897858?
p - 897862
What is the m'th term of 953, 327, -299, -925, -1551?
-626*m + 1579
What is the r'th term of -22853, -22857, -22865, -22877?
-2*r**2 + 2*r - 22853
What is the y'th term of -381, -2908, -9723, -22962, -44761, -77256?
-356*y**3 - 8*y**2 - 11*y - 6
What is the s'th term of -134559, -134556, -134553, -134550, -134547, -134544?
3*s - 134562
What is the o'th term of -823, -846, -883, -940, -1023, -1138, -1291, -1488?
-o**3 - o**2 - 13*o - 808
What is the m'th term of -147, 23, 307, 705?
57*m**2 - m - 203
What is the c'th term of -1425, -3000, -4575?
-1575*c + 150
What is the j'th term of 664202, 1328409, 1992616, 2656823?
664207*j - 5
What is the k'th term of -281, -968, -1653, -2336, -3017, -3696?
k**2 - 690*k + 408
What is the u'th term of 95, 714, 2385, 5630, 10971?
87*u**3 + 4*u**2 - 2*u + 6
What is the o'th term of 438, 1706, 3812, 6750, 10514, 15098?
-o**3 + 425*o**2 + 14
What is the z'th term of -19, -13, -9, -7?
-z**2 + 9*z - 27
What is the o'th term of -4, 21, 74, 173, 336, 581?
3*o**3 - 4*o**2 + 16*o - 19
What is the n'th term of 271, 1125, 2549, 4543, 7107?
285*n**2 - n - 13
What is the i'th term of 23038, 23037, 23034, 23029, 23022?
-i**2 + 2*i + 23037
What is the m'th term of 13476, 13475, 13474?
-m + 13477
What is the o'th term of 11332, 11330, 11328?
-2*o + 11334
What is the o'th term of 859662, 859663, 859664, 859665, 859666?
o + 859661
What is the z'th term of 37904, 37856, 37808, 37760, 37712?
-48*z + 37952
What is the r'th term of 300, 245, 152, 3, -220?
-3*r**3 - r**2 - 31*r + 335
What is the q'th term of -174, -758, -1342, -1926, -2510, -3094?
-584*q + 410
What is the l'th term of -3656, -7231, -10806, -14381, -17956?
-3575*l - 81
What is the y'th term of -22373, -22386, -22409, -22442, -22485, -22538?
-5*y**2 + 2*y - 22370
What is the d'th term of -191, -373, -527, -641, -703, -701?
2*d**3 + 2*d**2 - 202*d + 7
What is the q'th term of 38890, 38877, 38860, 38845, 38838, 38845, 38872?
q**3 - 8*q**2 + 4*q + 38893
What is the a'th term of -2297, -2295, -2293, -2291, -2289?
2*a - 2299
What is the o'th term of -1, -225, -597, -1117, -1785?
-74*o**2 - 2*o + 75
What is the f'th term of -3143, -12756, -28779, -51218, -80079, -115368, -157091?
-f**3 - 3199*f**2 - 9*f + 66
What is the n'th term of -33882, -33873, -33852, -33813, -33750, -33657?
n**3 + 2*n - 33885
What is the k'th term of 85202, 85205, 85208, 85211?
3*k + 85199
What is the y'th term of 2113, 4279, 6447, 8617, 10789, 12963, 15139?
y**2 + 2163*y - 51
What is the c'th term of -2468, -4627, -6786, -8945, -11104?
-2159*c - 309
What is the s'th term of 18711, 20293, 21861, 23409, 24931, 26421?
-s**3 - s**2 + 1592*s + 17121
What is the z'th term of 164, 709, 1728, 3311, 5548, 8529, 12344, 17083?
15*z**3 + 147*z**2 - z + 3
What is the u'th term of 249, 1034, 2343, 4176?
262*u**2 - u - 12
What is the w'th term of 52, 1356, 4900, 11806, 23196, 40192, 63916, 95490?
187*w**3 - 2*w**2 + w - 134
What is the h'th term of -184, -184, -196, -220?
-6*h**2 + 18*h - 196
What is the a'th term of -470, -386, -246, -50, 202, 510?
28*a**2 - 498
What is the g'th term of -17084, -34183, -51306, -68465, -85672?
-2*g**3 - 17085*g + 3
What is the q'th term of -67595, -135184, -202773?
-67589*q - 6
What is the b'th term of -343545, -687106, -1030683, -1374282, -1717909?
-b**3 - 2*b**2 - 343548*b + 6
What is the t'th term of -197, -241, -295, -365, -457, -577?
-t**3 + t**2 - 40*t - 157
What is the g'th term of 1679, 3392, 5173, 7058, 9083, 11284?
6*g**3 - 2*g**2 + 1677*g - 2
What is the h'th term of -7227, -8880, -13365, -22098, -36495, -57972, -87945, -127830?
-236*h**3 - h - 6990
What is the r'th term of -292, -588, -886, -1186?
-r**2 - 293*r + 2
What is the b'th term of 234325, 234331, 234341, 234355, 234373, 234395, 234421?
2*b**2 + 234323
What is the s'th term of -79159, -79149, -79127, -79087, -79023, -78929, -78799, -78627?
s**3 + 3*s - 79163
What is the b'th term of 582, 2313, 5200, 9243, 14442, 20797, 28308?
578*b**2 - 3*b + 7
What is the a'th term of -2999, -6097, -9195?
-3098*a + 99
What is the d'th term of 12045, 24089, 36133, 48177?
12044*d + 1
What is the m'th term of 1113, 1668, 2609, 3948, 5697, 7868, 10473, 13524?
2*m**3 + 181*m**2 - 2*m + 932
What is the h'th term of -1408, -2818, -4232, -5650, -7072, -8498?
-2*h**2 - 1404*h - 2
What is the d'th term of 32264, 32266, 32268, 32270, 32272?
2*d + 32262
What is the a'th term of -675, -728, -781, -834, -887, -940?
-53*a - 622
What is the m'th term of 985, 2008, 3031, 4054, 5077?
1023*m - 38
What is the w'th term of 11640, 46715, 105226, 187179, 292580?
w**3 + 11712*w**2 - 68*w - 5
What is the o'th term of 2190, 4396, 6662, 9018, 11494, 14120, 16926, 19942?
5*o**3 + 2171*o + 14
What is the s'th term of -462, -483, -526, -597, -702, -847, -1038, -1281?
-s**3 - 5*s**2 + s - 457
What is the f'th term of 16716, 33523, 50330?
16807*f - 91
What is the a'th term of -5870, -5744, -5616, -5486, -5354, -5220?
a**2 + 123*a - 5994
What is the v'th term of -17, -25, 73, 367, 947, 1903, 3325, 5303?
15*v**3 - 37*v**2 - 2*v + 7
What is the q'th term of 1214, 1187, 1160, 1133, 1106?
-27*q + 1241
What is the b'th term of -13269, -26539, -39809, -53079?
-13270*b + 1
What is the o'th term of 4130368, 4130370, 4130374, 4130380, 4130388, 4130398?
o**2 - o + 4130368
What is the p'th term of 268, -358, -1382, -2798, -4600, -6782?
p**3 - 205*p**2 - 18*p + 490
What is the j'th term of -6367, -6355, -6343, -6331, -6319?
12*j - 6379
What is the o'th term of 31869, 255114, 861063, 2041068, 3986481?
31892*o**3 + o - 24
What is the w'th term of 3165, 3239, 3327, 3435, 3569?
w**3 + w**2 + 64*w + 3099
What is the y'th term of -35728, -35733, -35738, -35743, -35748?
-5*y - 35723
What is the z'th term of 542, 1085, 1642, 2219, 2822, 3457, 4130, 4847?
z**3 + z**2 + 533*z + 7
What is the n'th term of -459, -1927, -5421, -11955, -22543, -38199, -59937, -88771?
-169*n**3 + n**2 - 288*n - 3
What is the k'th term of 2, 10, 42, 98, 178?
12*k**2 - 28*k + 18
What is the f'th term of 5271, 5724, 6175, 6624?
-f**2 + 456*f + 4816
What is the m'th term of -199369, -398739, -598109, -797479?
-199370*m + 1
What is the v'th term of -3154, -3155, -3156, -3157?
-v - 3153
What is the b'th term of 39951, 79898, 119843, 159786?
-b**2 + 39950*b + 2
What is the m'th term of 421, 1508, 3323, 5866?
364*m**2 - 5*m + 62
What is the y'th term of 127, 142, 147, 136, 103?
-y**3 + y**2 + 19*y + 108
What is the a'th term of 24439, 48862, 73283, 97702, 122119, 146534?
-a**2 + 24426*a + 14
What is the v'th term of 468, 428, 380, 336, 308, 308, 348, 440?
2*v**3 - 16*v**2 - 6*v + 488
What is the m'th term of -6301, -12661, -19017, -25363, -31693?
m**3 - 4*m**2 - 6355*m + 57
What is the l'th term of 1645, 1523, 1317, 1027, 653?
-42*l**2 + 4*l + 1683
What is the f'th term of 75, 509, 1651, 3855, 747 | {
"pile_set_name": "DM Mathematics"
} |
lilitres?
9495087
What is 3.777101mm in meters?
0.003777101
How many kilograms are there in 3/40 of a tonne?
75
How many milligrams are there in 6/5 of a gram?
1200
How many nanoseconds are there in 0.5985608 weeks?
362009571840000
What is fourty-five quarters of a gram in milligrams?
11250
How many millimeters are there in fourty-five halves of a centimeter?
225
What is three eighths of a week in minutes?
3780
Convert 12691.611us to minutes.
0.00021152685
What is 83280.01 grams in tonnes?
0.08328001
How many millilitres are there in fourty-five halves of a litre?
22500
What is fifty-one fifths of a micrometer in nanometers?
10200
What is 11/2 of a meter in millimeters?
5500
What is 7/18 of a week in minutes?
3920
What is 2.695742um in meters?
0.000002695742
What is 17/2 of a kilometer in meters?
8500
What is 58064.85g in kilograms?
58.06485
What is 3/25 of a century in years?
12
How many micrograms are there in 374791.5mg?
374791500
What is 87/5 of a litre in millilitres?
17400
Convert 82176.3l to millilitres.
82176300
What is 4.305111 kilometers in meters?
4305.111
How many milligrams are there in 360.4344 kilograms?
360434400
How many millilitres are there in 0.1168795l?
116.8795
Convert 288665.6 millennia to centuries.
2886656
What is 3.882171 millimeters in nanometers?
3882171
What is 7.766695l in millilitres?
7766.695
Convert 1890.652ml to litres.
1.890652
How many microseconds are there in 2955.376 days?
255344486400000
How many millimeters are there in 1/10 of a kilometer?
100000
What is 1/4 of a micrometer in nanometers?
250
How many millilitres are there in 7/4 of a litre?
1750
How many kilograms are there in 21/2 of a tonne?
10500
What is one fifth of a gram in milligrams?
200
What is 53/5 of a decade in months?
1272
How many millilitres are there in seventeen quarters of a litre?
4250
How many millilitres are there in 968.7612 litres?
968761.2
How many millilitres are there in 52807.4l?
52807400
How many minutes are there in 3/7 of a week?
4320
What is 1/4 of a micrometer in nanometers?
250
What is 38.80656 litres in millilitres?
38806.56
What is 4484.78um in millimeters?
4.48478
How many years are there in 8.870203 decades?
88.70203
How many centuries are there in 6901.22 millennia?
69012.2
How many nanograms are there in fourty-seven quarters of a microgram?
11750
Convert 86948.42ns to milliseconds.
0.08694842
How many millilitres are there in 1558.088l?
1558088
What is 21/5 of a millennium in centuries?
42
How many millilitres are there in twenty-five halves of a litre?
12500
How many nanometers are there in twenty-five eighths of a micrometer?
3125
How many kilograms are there in one tenth of a tonne?
100
How many meters are there in 1/20 of a kilometer?
50
What is 247298.238s in days?
2.862248125
What is 1.5444792 nanoseconds in hours?
0.000000000000429022
Convert 587367.4um to millimeters.
587.3674
What is 38.69053g in tonnes?
0.00003869053
How many hours are there in eight thirds of a day?
64
What is 5/4 of a kilometer in meters?
1250
How many meters are there in 766.1593km?
766159.3
Convert 2.312354 centuries to years.
231.2354
How many seconds are there in 5/24 of a day?
18000
What is 52.50562 kilograms in nanograms?
52505620000000
What is 0.8636039l in millilitres?
863.6039
How many days are there in 87153.93 hours?
3631.41375
What is seven sixths of a minute in milliseconds?
70000
How many millilitres are there in 53/4 of a litre?
13250
What is five eighths of a hour in seconds?
2250
How many milliseconds are there in 7/25 of a second?
280
How many nanograms are there in 39155.26ug?
39155260
How many years are there in 149394.3 millennia?
149394300
How many millilitres are there in fifteen quarters of a litre?
3750
What is 8.997534nm in meters?
0.000000008997534
How many milligrams are there in 6763.917 tonnes?
6763917000000
How many millilitres are there in one twentieth of a litre?
50
What is 0.0393458 nanometers in kilometers?
0.0000000000000393458
What is five sixths of a decade in months?
100
How many millimeters are there in 7/4 of a meter?
1750
What is 0.0272806 litres in millilitres?
27.2806
How many millilitres are there in 6.856549 litres?
6856.549
How many millilitres are there in 11/4 of a litre?
2750
How many millilitres are there in 7443.96 litres?
7443960
How many micrograms are there in sixty-three eighths of a milligram?
7875
Convert 864.6312km to centimeters.
86463120
How many microseconds are there in five quarters of a millisecond?
1250
How many months are there in 3/32 of a millennium?
1125
What is 13/8 of a century in months?
1950
What is 1/4 of a litre in millilitres?
250
What is 262044.1 centuries in years?
26204410
How many millilitres are there in 7292.403l?
7292403
How many nanograms are there in twenty-one eighths of a microgram?
2625
How many grams are there in 1/4 of a kilogram?
250
What is 6.067697 micrograms in kilograms?
0.000000006067697
How many millilitres are there in 5/4 of a litre?
1250
What is three fifths of a millennium in centuries?
6
How many millilitres are there in 727520.2 litres?
727520200
How many milligrams are there in 615.0789ug?
0.6150789
How many milliseconds are there in 1/4 of a second?
250
Convert 531739.2 minutes to hours.
8862.32
How many kilograms are there in fourty-two fifths of a tonne?
8400
Convert 827.1302 kilometers to nanometers.
827130200000000
What is 8.684634 millennia in months?
104215.608
How many millilitres are there in twenty-five quarters of a litre?
6250
How many centimeters are there in one fifth of a meter?
20
What is thirteen fifths of a meter in millimeters?
2600
What is 2/9 of a day in minutes?
320
How many millilitres are there in 145174.4 litres?
145174400
Convert 63.996 meters to millimeters.
63996
What is 78274.6t in grams?
78274600000
Convert 4995.761 weeks to minutes.
50357270.88
How many grams are there in 8971.729 micrograms?
0.008971729
How many months are there in ten thirds of a decade?
400
How many years are there in 20.442948 months?
1.703579
What is three tenths of a gram in milligrams?
300
How many litres are there in 8.79021 millilitres?
0.00879021
How many millilitres are there in 59039.25 litres?
59039250
What is 21/5 of a micrometer in nanometers?
4200
What is 5/8 of a decade in months?
75
What is three fifths of a milligram in micrograms?
600
How many months are there in ten thirds of a millennium?
40000
How many centuries are there in 3/5 of a millennium?
6
How many nanograms are there in 8918.683kg?
8918683000000000
Convert 98.65887ml to litres.
0.09865887
What is 99.48067 centuries in years?
9948.067
How many years are there in six fifths of a millennium?
1200
How many grams are there in 7.801692kg?
7801.692
What is 0.847409 milligrams in grams?
0.000847409
What is 31452.46 litres in millilitres?
31452460
How many months are there in five sixths of a decade?
100
How many microseconds are there in 73.96207s?
73962070
How many litres are there in 9.31296 millilitres?
0.00931296
How many minutes are there in sixteen ninths of a week?
17920
How many micrometers are there in 1/4 of a centimeter?
2500
How many minutes are there in 2/21 of a week?
960
Convert 35485.8462us to weeks.
0.0000000586736875
What is thirteen fifths of a gram in milligrams?
2600
How many meters are there in 908748.2 micrometers?
0.9087482
What is 1/10 of a litre in millilitres?
100
What is 17/2 of a centimeter in millimeters?
85
What is 7.736278 meters in nanometers?
7736278000
What is seven eighths of a kilometer in meters?
875
How many centimeters are there in 6/25 of a kilometer?
24000
How many millilitres are there in twenty-seven fifths of a litre?
5400
How many minutes are there in 1.5859704s?
0.02643284
Convert 1245.2412 nanoseconds to minutes.
0.00000002075402
What is seventeen halves of a milligram in micrograms?
8500
What is 2844.124 milligrams in tonnes?
0.000002844124
How many seconds are there in 16/15 of a day?
92160
Convert 64131.05um to meters.
0.06413105
How many micrograms are there in thirty-three fifths of a milligram?
6600
What is thirteen fifths of a century in decades?
26
How many grams are there in one twentieth of a tonne?
50000
Convert 8729.611 millilitres to litres.
8.729611
What is 6197.52 years in centuries?
61.9752
| {
"pile_set_name": "DM Mathematics"
} |
of 34096*d**2*o - d*o**2 + 4*d*o - 6*d + 352546645*o**2 wrt d.
68192*d*o - o**2 + 4*o - 6
Find the second derivative of 14727440*y**2*z**2 + 12*y**2*z - y**2 + 334*y*z + 5*y - 21 wrt z.
29454880*y**2
Find the third derivative of -136966143*v**4 - 4480*v**2 + 5331.
-3287187432*v
What is the third derivative of -661*a*b**3*f**3 + 89*a*b**2*f**3 + a*f*l - 6297*b**3*f*l - 3016*b**2*f**3 - b**2*l wrt b?
-3966*a*f**3 - 37782*f*l
Find the third derivative of -48528738*p**4 + 2*p**2 + 130*p + 126885 wrt p.
-1164689712*p
What is the second derivative of -b**2*j**2 + 3*b**2*j + 13776998*b*j**2*m**2 + 2*b*j - 11615146*j*m**2 wrt j?
-2*b**2 + 27553996*b*m**2
What is the third derivative of -43*y**2*z**4 - 7935*y**2*z**2 - 3*y**2 + 132898*y*z**3 - y + 2*z**3 - z**2 + 17 wrt z?
-1032*y**2*z + 797388*y + 12
Find the third derivative of 13509508*l**3 - 14327786*l**2.
81057048
Differentiate -66850344*w - 57176246 with respect to w.
-66850344
What is the derivative of -2*b*v**2*w - 12*b*v**2 - 21021*b*v*w + 222647*v**2 + 76*w wrt w?
-2*b*v**2 - 21021*b*v + 76
What is the first derivative of -57011878*q**4 - 145890674?
-228047512*q**3
What is the third derivative of 232*b**4 - 2461*b**3 + 2*b**2 + 17320*b - 50 wrt b?
5568*b - 14766
What is the second derivative of 1757551*l*w**2*z**3 - 14*l*w**2 - 54368321*l*w*z - 2*w**2*z**2 + 2*w*z**3 + w wrt w?
3515102*l*z**3 - 28*l - 4*z**2
Find the second derivative of -2*h**3*l**2 + 284*h**3 - 4*h**2*l + 5*h**2 - 29495688*h*l**2 - 2*h*l - l**2 + 9*l wrt l.
-4*h**3 - 58991376*h - 2
What is the second derivative of 82017812*j**4 - 3*j**3 - 32529*j - 4084?
984213744*j**2 - 18*j
Differentiate 2310396*z**2 + 6356082 with respect to z.
4620792*z
Find the third derivative of -25254533*x**3 + 2*x**2 - 7501*x - 97 wrt x.
-151527198
Find the third derivative of 94248738*x**4 - 253537865*x**2 wrt x.
2261969712*x
What is the second derivative of -b**3*m**2*p - 264909*b**3*m*p**2 - 16*b**2*m**2 - 258018*b**2*p - 6*m**2*p**2 - m**2*p wrt p?
-529818*b**3*m - 12*m**2
Find the second derivative of -7519736*d**5 - 81225964*d wrt d.
-150394720*d**3
Find the second derivative of -1033746380*k**2 + 66885213*k.
-2067492760
What is the third derivative of -102966149*m**3*o**3 + 82*m**2*o**3 + 2*m**2 - 19*m*o**2 + 2*m*o - 3*o + 15 wrt m?
-617796894*o**3
Find the third derivative of -2*a**4*g + 40024*a**4 - 284*a**3*g**3 + 23*a**2*g**3 + 181774*a*g**3 wrt a.
-48*a*g + 960576*a - 1704*g**3
Find the first derivative of 68*a**3 + 2652*a**2 - 52*a + 51299440 wrt a.
204*a**2 + 5304*a - 52
What is the derivative of -2109590*j**4 - 1687560 wrt j?
-8438360*j**3
Find the third derivative of -8*p**5*s + 157878*p**3*s + 2*p**2*s + 3*p**2 + 25*s + 23125 wrt p.
-480*p**2*s + 947268*s
Differentiate 304*k**3 - 2*k**2*t - 15*k**2 - 50*k*t - 3900195*t with respect to k.
912*k**2 - 4*k*t - 30*k - 50*t
What is the second derivative of -48*t**3 - 489144*t**2 + 519587434*t?
-288*t - 978288
Find the second derivative of -84*v**5 - 6996*v**2 + 321168043*v wrt v.
-1680*v**3 - 13992
Find the second derivative of -5023306*v**3 + v**2 - 46340074*v - 1 wrt v.
-30139836*v + 2
Find the first derivative of -4790*a**2*x**2 + 70*a**2*x + 2*a**2 - 69*x**2 + 259126067 wrt x.
-9580*a**2*x + 70*a**2 - 138*x
Find the first derivative of -82293647*n - 7605184.
-82293647
What is the second derivative of -f**2*r - 1702461*f**2 - 48*f*r - 11*f - 3*r + 525 wrt f?
-2*r - 3404922
What is the third derivative of -31592*s**4 + 8*s**3 + 2*s**2 - 11*s + 20829 wrt s?
-758208*s + 48
What is the second derivative of -2420*n**4 - 2*n**3 + 248*n**2 - 12*n + 1536456?
-29040*n**2 - 12*n + 496
Differentiate 90*c*u*y + 2*c*y + 289077*c - 18661*u**2*y + 5*y - 2 with respect to u.
90*c*y - 37322*u*y
What is the second derivative of -116046654*i**2 + 77494669*i wrt i?
-232093308
What is the second derivative of -66682918*r**2 + 2*r - 41647454 wrt r?
-133365836
Differentiate -284*k**2*o - 4745*k**2 + 2*o - 8251761 wrt k.
-568*k*o - 9490*k
What is the third derivative of -5342024*u**5 - 5399*u**2 - 45*u + 6 wrt u?
-320521440*u**2
What is the derivative of 4477*m*y**3*z - 1710*m*y*z**3 + 8*y**3*z**3 - 2*y**3*z**2 + 14696*y*z**3 wrt m?
4477*y**3*z - 1710*y*z**3
What is the second derivative of -44302929*s**4 + 23173077*s wrt s?
-531635148*s**2
Find the third derivative of 551005455*s**3 + 120*s**2 + 209348*s.
3306032730
What is the derivative of -27110352*h*i**2 - 27972943*i**2 wrt h?
-27110352*i**2
What is the first derivative of -2*t**3 - 35468*t**2 + 6*t - 720011?
-6*t**2 - 70936*t + 6
What is the second derivative of w*z**2 + 27901450*w*z + w + 29341810*z**2 wrt z?
2*w + 58683620
What is the derivative of -1552*k*y**4 + 6*k*y + 3898*k + 6309*y - 47888 wrt y?
-6208*k*y**3 + 6*k + 6309
Find the first derivative of 103151112*u**3 + 56050307.
309453336*u**2
What is the derivative of 27*p**4 - 4*p**2 + 678*p + 13176955 wrt p?
108*p**3 - 8*p + 678
What is the third derivative of -4134*l**2*o*z**3 + 13033069*l**2*o*z**2 - 4*l**2*o - 2*l*o*z**2 - 3*l*z - 24527*o*z**3 wrt z?
-24804*l**2*o - 147162*o
What is the second derivative of -7145*l*n**3*x**2 - 1110*l*n**3*x - 3*l*n**3 - 9080*l*n**2*x**2 + l*x + 829*n*x wrt x?
-14290*l*n**3 - 18160*l*n**2
What is the third derivative of 41097270*f**2*h**3 - 68*f**2*h**2 + 25*f**2*h + 2*f**2 + 4*f*h**3 + 7*h**2 + 25*h wrt h?
246583620*f**2 + 24*f
Find the first derivative of 425920845*b*j**3 - 2*j**3 - 59747*j**2 + 2*j + 185 wrt b.
425920845*j**3
Find the second derivative of 3312*f*k**2 - 211872161*f*k + 14406*k**2 wrt k.
6624*f + 28812
Find the second derivative of 19940*f*n**4 - 21*f*n**2 + 1243*f*n - 3*f - 351*n wrt n.
239280*f*n**2 - 42*f
Find the second derivative of 99*o**5 + 1726648*o**3 - 89714741*o - 4.
1980*o**3 + 10359888*o
What is the third derivative of 1227*k**4 + 1700*k**3 - 23351*k**2 - 48*k - 1 wrt k?
29448*k + 10200
What is the first derivative of -1660*v**3*w - 30*v*w**3 - 18*v*w + w**3 - 12*w**2 + w - 6128 wrt v?
-4980*v**2*w - 30*w**3 - 18*w
What is the second derivative of 15580*t**4 - 60*t**2 + 9686088*t?
186960*t**2 - 120
What is the third derivative of -5313820*i**4 - 4262*i**2 + 60*i + 2?
-127531680*i
Find the second derivative of -292833998*i**2 - 134053802*i.
-585667996
What is the third derivative of 18663528*w**3 - 306*w**2 + 3*w - 4933?
111981168
Differentiate 91*v*w + 36184337*v - 124235*w + 2 with respect to w.
91*v - 124235
What is the second derivative of -55626608*l**4 + 33383*l - 656?
-667519296*l**2
Find the second derivative of -229222045*a**2 - 1548*a - 8532.
-458444090
What is the third derivative of 159776237*d**3 - 14*d**2 + 11715497*d wrt d?
958657422
What is the third derivative of 18*a*q**3*s + 7*a*q**3 + 12446*a*q**2*s + a*q**2 + 3*a*s + 2*q**3*s - 4744*q**3 - s wrt q?
108*a*s + 42*a + 12*s - 28464
What is the second derivative of 27482229*p**3*v**3 - 20*p*v**3 + 106300 wrt p?
164893374*p*v**3
What is the second derivative of 7815908*a**2 - 14792038*a wrt a?
15631816
What is the second derivative of -8753984*p**3 - 38313*p - 7 wrt p?
-52523904*p
What is the second derivative of -5386429*s**2 + 1062699*s + 5?
-10772858
Differentiate 1385949*z**2 - 17402675 wrt z.
2771898*z
Differentiate 5*u**3 - 158*u**2 - 948*u + 629043209 with respect to u.
15*u**2 - 316*u - 948
Find the second derivative of 16604509*k**5 - 14*k**2 - 560461704*k.
332090180*k**3 - 28
Differentiate -1081*t**3 + 7*t**2 + 1988*t + 148070374 with respect to t.
-3243*t**2 + 14*t + 1988
Find the second derivative of -23*s**5 - 9923047*s**3 + 6*s + 13125203.
-460*s**3 - 59538282*s
What is the second derivative of 18*c*d*i**3 + c*d*i - 34*c*i**2 + 27850*c*i + 4354*d*i**3 - 579 wrt i?
108*c*d*i - 68*c + 26124*d*i
What is the third derivative of 2*q**2*u**3 - 2*q**2*u**2 - 9*q**2 - 46*q*u**3 - q*u**2 + 309*u**3 + 2672 wrt u?
12*q**2 - 276*q + 1854
Differentiate 8*t*z**2 - 7060562*t*z + t + 85541025*z**2 with respect to t.
8*z**2 - 7060562*z + 1
Differentiate o**3*w + 8709001*o*w**3 - 1779*w**3 - 5*w**2 + 2*w - 66 with respect to o.
3*o**2*w + 8709001*w**3
Find the first derivative of -3620130*q**2*s - 28686091*q**2 wrt s.
-3620130*q**2
What is the second derivative of 45*q**3 + 601327*q**2 + 44983650*q?
270*q + 1202654
What is the third derivative of 114156847*i**3 - | {
"pile_set_name": "DM Mathematics"
} |
.
-27
Solve 67*h - 144 = 27*h + 24*h for h.
9
Solve 0 = -62610*f + 62614*f + 44 for f.
-11
Solve 118*z - 68 = -1313 - 171 for z.
-12
Solve -17*x - 312 = -175 + 169 for x.
-18
Solve 0 = -28*o - 139 + 139 for o.
0
Solve -81*a - 136 - 917 = 0 for a.
-13
Solve 79*z + 500 = 184 for z.
-4
Solve 48 = -7*y - 4 + 17 for y.
-5
Solve -130 = 3619*p - 3609*p for p.
-13
Solve 57*j - 327*j = -2839 - 1211 for j.
15
Solve 275 + 597 = 43*d - 74 for d.
22
Solve -32 - 277 = 28*c - 1 for c.
-11
Solve -637 = 15*f - 442 for f.
-13
Solve -7496 + 7501 = -5*w for w.
-1
Solve -105 + 12 = 31*s for s.
-3
Solve -42*o - 567 = -1785 for o.
29
Solve 284*q - 926 - 3486 - 2972 = 0 for q.
26
Solve -4*i + 655 = -14*i + 565 for i.
-9
Solve -45*r + 263*r = 536 + 2734 for r.
15
Solve -16*u - 16*u - 1248 = 16*u for u.
-26
Solve 0 = -0*n + 28*n - 250*n - 666 for n.
-3
Solve -39*x - 22 = -13*x + 30 for x.
-2
Solve 61*b = -105*b + 2158 for b.
13
Solve -65*x + 3975 = 18*x + 76*x for x.
25
Solve -114*p - 736 = -8*p + 112 for p.
-8
Solve 646*v + 42 = 639*v for v.
-6
Solve 32*a - 77*a + 90 = -36*a for a.
10
Solve 519*k + 2064 - 20748 = 0 for k.
36
Solve 130*f - 23*f + 162 + 266 = 0 for f.
-4
Solve -9*b - 200 = 34*b - 18*b for b.
-8
Solve -134*i - 2186 = 63*i + 178 for i.
-12
Solve 29*p + 371*p + 77*p + 1431 = 0 for p.
-3
Solve -4759*p = -4762*p - 36 for p.
-12
Solve -w - 21 = -7*w + 57 for w.
13
Solve -43*r + 25*r - 60 = -33*r for r.
4
Solve -2618 = 321*b + 913 for b.
-11
Solve 3*f + 214 = -29*f - 74 for f.
-9
Solve 0 = 101*q + 16762 - 16156 for q.
-6
Solve -49*u - 38*u - 312 = -9*u for u.
-4
Solve -77*s = -34*s - 86 for s.
2
Solve 0 = -11*l - 139451 + 139638 for l.
17
Solve 6116*i - 6152*i + 792 = 0 for i.
22
Solve 0 = 16*j - 0*j + 58*j - 1554 for j.
21
Solve 24*k + 27*k = k - 700 for k.
-14
Solve 24*c = 2 + 190 for c.
8
Solve 193*x - 1986 = -219*x + 2546 for x.
11
Solve 2505 = -42*t + 1917 for t.
-14
Solve 0 = -25*g + 888 - 288 for g.
24
Solve -202 - 195 = -99*p + 98 for p.
5
Solve 145*r = 205*r + 1860 for r.
-31
Solve 8*u - u + 480 = -25*u for u.
-15
Solve -4327*f + 1914 = -3689*f for f.
3
Solve -122 = 7*p - 40 + 37 for p.
-17
Solve -6*b - 104 = b + 57 for b.
-23
Solve -1781 + 77 = -213*q for q.
8
Solve 41*h + 142*h + 65*h = -8432 for h.
-34
Solve 170*z + 166 + 286 = 57*z for z.
-4
Solve 532 - 283 = -8*k + 281 for k.
4
Solve -31*w + 197 + 427 = 47*w for w.
8
Solve 744 = -89*t - 146 for t.
-10
Solve 382*m + 312 = 200*m + 208*m for m.
12
Solve 256*t + 86 = 140*t + 159*t for t.
2
Solve -72 = 19*p - 31*p for p.
6
Solve 20*b - 77 = 65*b + 418 for b.
-11
Solve -827*c - 25 = -852*c for c.
1
Solve -80*n - 151*n + 2665 = -26*n for n.
13
Solve 909 = 27*a + 1260 for a.
-13
Solve -82*x + 404*x = 1610 for x.
5
Solve -150*q + 75*q + 40 + 35 = 0 for q.
1
Solve -368*y + 2163 = -1885 for y.
11
Solve 146*r + 5 = 147*r - 4 for r.
9
Solve 0 = 9*g - 4240 + 3961 for g.
31
Solve 86*k = -5*k + 1183 for k.
13
Solve -495*o + 476*o - 418 = 0 for o.
-22
Solve -7456 = -13*g - 7586 for g.
-10
Solve 23*s + 439 = 94 for s.
-15
Solve o - 18 + 18 = -8 for o.
-8
Solve 29*g + 131*g = -288*g - 448 for g.
-1
Solve -7 + 10843 = 516*d for d.
21
Solve 3*l + l = 127 - 75 for l.
13
Solve 270*y - 296*y - 312 = 0 for y.
-12
Solve 36*n = -25*n + 30*n + 217 for n.
7
Solve -1550*k + 1581*k = 186 for k.
6
Solve -12*f - 121 = 5*f - 410 for f.
17
Solve -603*p + 398*p = -1230 for p.
6
Solve 34*i - 800 = -38*i - 224 for i.
8
Solve 32*q - 13*q + 10 = -237 for q.
-13
Solve 330 = 942*v - 920*v for v.
15
Solve -44 = 915*k - 877*k + 70 for k.
-3
Solve 39*v + 4 = -20 - 15 for v.
-1
Solve -752*u + 780*u - 224 = 0 for u.
8
Solve 12 = 110*r + 452 for r.
-4
Solve -10*v + 306 = 146 for v.
16
Solve 81 = -39*y + 581 + 358 for y.
22
Solve 348*l - 9216 + 3300 = 0 for l.
17
Solve -8*d + 3*d = 8 + 7 for d.
-3
Solve -62*i - 428 - 123 = 69 for i.
-10
Solve 599894*l = 599935*l + 123 for l.
-3
Solve -124 - 84 - 30 = -17*v for v.
14
Solve 6*f - 84 - 698 = -40*f for f.
17
Solve -37*q - 61*q - 1525 = -37*q for q.
-25
Solve -108*y + 99*y + 18 = 0 for y.
2
Solve -342 = 86*i - 1202 for i.
10
Solve 203*f + 3*f = 3708 for f.
18
Solve -216 + 144 - 489 = 33*z for z.
-17
Solve -125*v + 3718 = -118*v + 279*v for v.
13
Solve 17*n - 3033 + 3424 = 0 for n.
-23
Solve -42*f - 1780 = -1318 for f.
-11
Solve -28 = 14741*k - 14737*k for k.
-7
Solve -291*s - 173 = -355*s + 467 for s.
10
Solve 4351 = 38*g - 11*g + 202*g for g.
19
Solve -1313 = -300*h - 296 + 183 for h.
4
Solve -383*h + 1631 - 1887 = -9065 for h.
23
Solve -216*v + 266*v - 700 = 0 for v.
14
Solve -444 = -20*v + 25*v + 69*v for v.
-6
Solve -193*k = -47*k - 1022 for k.
7
Solve -21*p - 16 = -18 - 82 for p.
4
Solve 13*v + 78 = 82 + 87 for v.
7
Solve 33*b + 325 = 200*b - 844 for b.
7
Solve -39*s - 15 = -34*s for s.
-3
Solve 147*l = 4*l + 3146 for l.
22
Solve -189*i = -66*i - 1845 for i.
15
Solve 118*t - 2 - 82 = 106*t for t.
7
Solve -32 = 353*y - 738 for y.
2
Solve 44*v = -47*v - 218 - 692 for v.
-10
Solve 118 = 23*d + 440 for d.
-14
Solve -135*u + 217*u - 2214 = 0 for u.
27
Solve -56*b - 1680 = 56*b for b.
-15
Solve -20*a - 424 = 18*a - 144*a for a.
4
Solve -2036*c + 2479*c - 15062 = 0 for c.
34
Solve -586 = 131*w - 174*w + 317 for w.
21
Solve 50*g + 93*g = -14*g - 628 for g.
-4
Solve 860*n = 861*n + 23 for n.
-23
Solve -330 = 74*q - 41*q for q.
-10
Solve -20*c - 2765 + 3025 = 0 for c.
13
Solve -1516*v + 1538*v - 792 = 0 for v.
36
Solve 34*c - c = 23*c - 90 for c.
-9
Solve -15*q = -163 - 33 + 91 for q.
7
Solve -21*q + 556 = 241 for q.
15
Solve 497*t = 5387 + 12505 for t.
36
Solve -1952 = 4066*z - 4005*z for z.
-32
Solve 737 = -33*r + 275 for r.
-14
Solve 34*g - 3075 = -171*g for g.
15
Solve 7829 = -771*h - 5234 - 7754 for h.
-27
Solve 311 = -198*o + 2093 for o.
9
Solve 68*p = -19 + 699 for p.
10
Solve 108*u - 90 = 126*u for u.
-5
Solve 53*z - 50*z = -129*z - 396 for z.
-3
Solve 1549 - 4447 = -161*a for a.
18
Solve -32*j - 729 - 739 = -476 for j.
-31
Solve -190*n + 328 = -231*n for n.
-8
Solve 0 = -354*k + 263 + 706 + 1863 for k.
8
Solve -5963 = -682*z - 116*z + 9997 for z.
20
Solve 182*v = 111*v - 497 for v.
-7
Solve -101 = 7*t - 33 + 86 for t.
-22
Solve 72*b - 133 = 179 + 192 for b.
7
Solve 52*o - 991 = -9*o - 3065 for o.
-34
Solve 26*m + 595 = 112*m + 1111 for m.
-6
Solve -136*d = -188*d - 364 for d.
-7
Solve 27*f - 287 = 31 - 21 for f.
11
Solve -1428 + 267 = 129*k for k.
-9
Solve 297*a + 26 = 281*a + 10 for a.
-1
Solve -1909*b + 5890 = -1719*b for b.
31
Solve -7*u - 15 = -131 + 32 for u.
12
Solve -5*z + 5*z = 84*z - 924 for z.
11
Solve -23473 = -1313*r + 5489 + 5176 for r.
26
Solve 0 = 139*k - 61*k + 28 + 908 for k.
-12
Solve -38683*u = -38654*u + 609 for u.
-21
Solve 26*a + 35 = 139 for a.
4
Solve -56*b - 90*b = -25*b for b.
0
Solve -69*f = -0*f + 5*f - 740 for f.
10
Solve -20*y + 488 - 111 - 237 = 0 for y.
7
Solve 90*x = -151*x + 1205 for x.
5
Solve 47*n + 24938 - 26207 = 0 for n.
27
Solve 60*q = 127 - 847 for q.
-12
Solve 82*l - 122 = -300 - 232 for l.
-5
Solve 1200 = -13*m + 15*m - 77*m for m.
-16
Solve -9*h + 1280 = 1469 for h.
-21
Solve -3163 + 18 = 629*f for f.
-5
Solve 1538*a = 1199*a - 9831 for a.
-29
Solve -83*h = 232*h - 9*h + 612 for h.
-2
Solve 180505*y - 180508*y - 21 = 0 for y.
-7
Solve 2*u - 9 + 25 - 36 = 0 for u.
10
Solve 97*c - 780 = -98*c for c.
4
Solve 5*l = 14*l + 45 for l.
-5
Solve 9*g + 11*g = 17*g - 3 for g.
-1
Solve 0 = -12*b - 10*b - 4*b + 29*b for b.
0
Solve -19*g + 10914 = 115*g + 7564 for g.
25
Solve 15 = -107*p + 67 + 162 for p.
2
Solve 0 = 100*f - 233 - 323 + 156 for f.
4
Solve 80*z - 170*z = -106*z + 112 for z.
7
Solve 36 = 62*v - 212 for v.
4
Solve 459*y = 3662 - 368 + 4509 for y.
17
Solve -63*h - 176*h - 3066 = -20*h for h.
-14
Solve 44 = -33*i + 3*i - 376 for i.
-14
Solve 60 = -12*v - 11*v + 35*v for v.
5
Solve -589*q + 591*q = -28 for q.
-14
Solve 13738*s - 13717*s - 63 = 0 for s.
3
Solve k - 30 = -10*k - 107 for k.
-7
Solve -2795*f + 414 = -2818*f for f.
-18
Solve 24 = 101*a - 89*a for a.
2
Solve 85*z - 374 = -79*z + 181*z for z.
-22
Solve 138*j - 141*j + 822 - 741 = 0 for j.
27
Solve 1914*y = 1983*y + 138 for y.
-2
Solve -322 = -31190*r + 31204*r for r.
-23
Solve -96*p = -57 - 231 for p.
3
Solve -242 + 12770 = 464*u for u.
27
Solve -1524*i - 1384 + 292 = -1433*i for i.
-12
Sol | {
"pile_set_name": "DM Mathematics"
} |
?
-5
Which is the fifth biggest value? (a) -11 (b) -0.4 (c) 0.2 (d) -7 (e) -5 (f) -1
d
Which is the third biggest value? (a) -3 (b) 0.09 (c) 17/541
a
Which is the third smallest value? (a) -1 (b) 1/3 (c) -64 (d) -0.093
d
Which is the fifth biggest value? (a) 2/9 (b) -4 (c) -0.1 (d) 4/25 (e) -7 (f) 2/17
b
Which is the fifth biggest value? (a) -21/2 (b) -0.04 (c) -5 (d) -2/9 (e) -35
e
Which is the fifth smallest value? (a) -6 (b) -2/7 (c) 1 (d) 0.3 (e) 0
c
What is the biggest value in 5657, 11, -4?
5657
What is the third smallest value in 0.5, -8, 47, -2/21, -0.2, -2/19?
-2/19
Which is the second smallest value? (a) 59 (b) -0.4 (c) 0.2 (d) 1
c
What is the biggest value in -179, -8, 1/3, 4, 1?
4
What is the third smallest value in 6, 23, 217, 2?
23
Which is the third smallest value? (a) 577 (b) 0.2 (c) 0.209
a
What is the second biggest value in 2, 5, -143, 125?
5
Which is the smallest value? (a) -1/5 (b) -0.5 (c) 1.53 (d) -1/179
b
What is the third biggest value in 20/9, 2, -3, -2/3, 7126?
2
Which is the second biggest value? (a) 0.1 (b) -2/33 (c) 3/2 (d) -0.4 (e) -0.085
a
What is the biggest value in -1/2, -0.48, -10838?
-0.48
Which is the biggest value? (a) 20732 (b) 1/4 (c) 1/7
a
Which is the third smallest value? (a) -2/7 (b) 23 (c) 0.537
b
What is the fourth smallest value in 94, -1/4, 1/6, -1.2?
94
What is the biggest value in -3, -226.7, -2/15, -4?
-2/15
What is the third biggest value in 48/35, 1/3, 619?
1/3
What is the third biggest value in 3.6, 1/15, -1?
-1
Which is the third smallest value? (a) 1 (b) 6.202 (c) -0.4
b
What is the fourth smallest value in 5, 117, -42, -3/2?
117
Which is the smallest value? (a) -7730 (b) -0.02 (c) -2/3
a
Which is the fifth biggest value? (a) 5 (b) -59 (c) -27.2 (d) -5 (e) -2
b
Which is the third biggest value? (a) -18/611 (b) 1 (c) -1 (d) 3 (e) -0.81
a
Which is the biggest value? (a) -3/4 (b) 15.5 (c) 3/23 (d) -3/5
b
What is the fifth biggest value in -221, 0.04, -1, -16, -3, 1?
-16
What is the second biggest value in -4, 86, -17?
-4
What is the second biggest value in -5/3, 1, -4, -0.27, -1/46, 5?
1
Which is the fourth biggest value? (a) 97 (b) 0 (c) 1.7 (d) 4
b
Which is the smallest value? (a) -3/2 (b) 9 (c) -1/3 (d) -2859 (e) -3
d
What is the second smallest value in 5, 1407, 4, -1, 0.069, -5?
-1
Which is the third smallest value? (a) 5/3 (b) 16 (c) -689 (d) -1 (e) -2/5
e
What is the fifth smallest value in 0.5, -10.7, -1, 2/9, -5?
0.5
What is the smallest value in -4, 4, 1/2408?
-4
What is the third smallest value in -1/2, 1/9, 4/9, 0.243, -2?
1/9
What is the biggest value in -29, -3, -1, 9, -0.2?
9
What is the third biggest value in 0.155461, -5, 0.4?
-5
Which is the biggest value? (a) -4 (b) -3/55 (c) 3/8 (d) -0.19 (e) -2/53 (f) -1/4
c
Which is the biggest value? (a) 3 (b) -0.5 (c) 4 (d) -4 (e) 5 (f) -0.607
e
What is the fourth smallest value in -0.031, -0.3, 1, -1/2, 1/140?
1/140
Which is the fourth biggest value? (a) -0.1 (b) -2.94 (c) 112 (d) 5
b
What is the third smallest value in -33.78, 2, -1/12?
2
Which is the fourth smallest value? (a) -3 (b) 10 (c) -2/13 (d) 10/9 (e) 4 (f) -16
d
What is the fifth biggest value in -2, -0.4, 0, -4.27, 5, -3/2?
-2
Which is the second biggest value? (a) 3 (b) 0.1 (c) -2071 (d) -0.2 (e) -8 (f) -2/17
b
Which is the second smallest value? (a) 5 (b) -4/119 (c) -7
b
What is the fifth smallest value in 74, -3, 0.5, 3/7, 2?
74
What is the second smallest value in -15, 1/69, 4/3, 0?
0
Which is the third biggest value? (a) -82421 (b) 0.4 (c) 3/8 (d) -0.4 (e) -3/4
d
What is the biggest value in -4, 0.5, 0.044, -1, -0.6?
0.5
What is the third biggest value in -1/19, 4/25, -0.037, -4?
-1/19
Which is the smallest value? (a) -20.49 (b) -10 (c) 1.5
a
Which is the fourth smallest value? (a) 4/3 (b) 3 (c) 0.9 (d) -17 (e) 2
e
What is the biggest value in -5/3, -5, 5, 1764/11?
1764/11
Which is the third smallest value? (a) 21 (b) 3/4 (c) 0.69
a
What is the third biggest value in 0.4, -0.4, 41/4, 0.037?
0.037
Which is the biggest value? (a) 1/5 (b) -2 (c) 0.3 (d) 497 (e) -3/4
d
Which is the smallest value? (a) 37 (b) -1/16 (c) -3/2
c
What is the smallest value in -25, -1/7, -5.47?
-25
What is the fourth biggest value in -5, -20, 0.38, 4?
-20
What is the biggest value in 4, -1/2140, 0.1?
4
What is the third biggest value in -5, 3953, -1?
-5
What is the biggest value in 4, 2/51, 24/7, 0, -0.8?
4
Which is the biggest value? (a) 5 (b) -2 (c) -47 (d) 443/4 (e) -1 (f) 0.1
d
Which is the smallest value? (a) -0.1 (b) 0.2 (c) 158280
a
What is the sixth biggest value in -4, 1/3, -134, 0.5, 54, -0.4?
-134
Which is the smallest value? (a) 33 (b) -1/4 (c) -6 (d) 47
c
Which is the second biggest value? (a) -0.5 (b) 66.16 (c) -0.4 (d) 25 (e) -5
d
What is the biggest value in -416, -0.5, -1061?
-0.5
What is the third biggest value in -5, -1, 0.056, 0.217, 0.5?
0.056
What is the second smallest value in 4, 260, 2/7, -3?
2/7
Which is the second smallest value? (a) 1.5 (b) -625 (c) 1/3 (d) 3/5 (e) -0.1
e
Which is the fourth smallest value? (a) 591 (b) -0.2 (c) -1 (d) -5 (e) 5
e
What is the fourth smallest value in -0.35, -3, -5, -0.1, 1/5?
-0.1
Which is the smallest value? (a) -1 (b) -240 (c) -10/199 (d) 0.3
b
What is the second biggest value in 0, 1/26040, 3?
1/26040
What is the sixth biggest value in 57, 0.3, 0.5, -0.3, -5, 378?
-5
What is the smallest value in 0.1, -11, 1346?
-11
What is the third biggest value in 3984, -0.1, -1?
-1
What is the fifth biggest value in -0.7, -5, -130, -1/3, -8?
-130
Which is the third biggest value? (a) 15753 (b) 0.4 (c) 2/17
c
Which is the biggest value? (a) 8.4 (b) -2.1 (c) 3/5 (d) -3 (e) 4
a
What is the fifth biggest value in -0.039, -0.1, 4, 0.18, 0.5?
-0.1
Which is the smallest value? (a) -22 (b) -3.9 (c) -1 (d) -3 (e) -3/7 (f) 1
a
Which is the smallest value? (a) 62 (b) -3.46 (c) 0.12
b
Which is the third biggest value? (a) -71 (b) -39/19 (c) -2/17 (d) 4
b
What is the fourth smallest value in -17, -14, -11.6, -1/3?
-1/3
What is the fourth smallest value in -8/3, -20, -1, 1/5?
1/5
Which is the third smallest value? (a) -2212 (b) -2 (c) -5
b
What is the fourth biggest value in 2/9, 0, 5, 612?
0
What is the biggest value in -7, -2, 0.4, -5, 63714?
63714
What is the biggest value in -0.3, 4, 2/9, -113?
4
What is the biggest value in 4, 2/3, 2/5, -149?
4
What is the second biggest value in 1/8, -43, 0.5, 0.6, 2/5, -2/11?
0.5
Which is the smallest value? (a) -6208/9 (b) -5 (c) -75
a
What is the sixth biggest value in 2, -0.03, 5, -6, -5, -0.24?
-6
Which is the fourth biggest value? (a) 15/2 (b) -173 (c) 2/5 (d) 0.3 (e) 5
d
Which is the second biggest value? (a) -1/2 (b) -1496.6 (c) 4 (d) 1/3
d
What is the second smallest value in -640, -5, 2/11, -2?
-5
What is the biggest value in 0.6, -2/15, 1/3966, -0.4?
0.6
Which is the third smallest value? (a) 49.021 (b) 3 (c) 2/5 (d) 1/3
b
What is the fifth biggest value in 0.13, 0, -3, -0.02, -2/11, -6?
-3
Which is the biggest value? (a) -0.06 (b) 13 (c) -0.0915
b
Which is the biggest value? (a) 5 (b) -18.2187 (c) 0
a
What is the biggest value in -0.5, 2/7, 102.5, -3/4, -1/3, 4/9?
102.5
Which is the smallest value? (a) -5 (b) -79 (c) 20/741
b
What is the third biggest value in 0, -3107/5, 2?
-3107/5
What is the fourth smallest value in -20, -2/5, -0.3, 5?
5
Which is the fourth smallest value? (a) 0.1 (b) 2/7 (c) -1.1 (d) -0.3 (e) -1 (f) 1
a
What is the fourth biggest value in -3/2, -0.4, -5, 2591, -2/3?
-3/2
What is the second smallest value in -29, 1/5, -5, -4, 4/7?
-5
What is the sixth biggest value in -0.3, 2.14, -8/3, -5/3, -3, -1/4?
-3
Which is the second biggest value? (a) 0 (b) -5 (c) 73 (d) 4
d
What is the fifth biggest value in -1, -1/35, 0.31, -0.054, -0.2?
-1
Which is the third biggest value? (a) 2/11 (b) -4 (c) 0.5 (d) 1.17 (e) -2
a
Which is the fourth biggest value? (a) -1/2 (b) 1 (c) 2 (d) -2 (e) 6 (f) -2/1927
f
What is the smallest value in 3, -2, 1, -1/2, -1/140?
-2
What is the third smallest value in -2, 12, 2/11, 2/27, -0.14?
2/27
What is the smallest value in -3 | {
"pile_set_name": "DM Mathematics"
} |
re the prime factors of 230974254?
2, 3, 7, 353, 577
List the prime factors of 375892990.
2, 5, 11, 37, 92357
What are the prime factors of 51940664?
2, 101, 64283
What are the prime factors of 33315545?
5, 31, 214939
What are the prime factors of 599017648?
2, 37438603
List the prime factors of 5737177902.
2, 3, 373, 947, 2707
List the prime factors of 26179060.
2, 5, 23, 56911
List the prime factors of 575785712.
2, 37, 972611
List the prime factors of 115971236.
2, 179, 161971
What are the prime factors of 2955361051?
37, 4049, 19727
What are the prime factors of 48112666?
2, 7, 1373, 2503
What are the prime factors of 115619034?
2, 3, 61, 315899
What are the prime factors of 16214496?
2, 3, 168901
List the prime factors of 380670277.
13, 29282329
List the prime factors of 28010687.
257, 108991
What are the prime factors of 5506747988?
2, 7, 139, 202127
What are the prime factors of 3835494566?
2, 53, 36183911
What are the prime factors of 62240496?
2, 3, 29, 61, 733
List the prime factors of 2031771436.
2, 29, 59, 307, 967
List the prime factors of 1478904420.
2, 3, 5, 7, 3521201
List the prime factors of 881725401.
3, 23, 4259543
List the prime factors of 188734505.
5, 19, 1986679
List the prime factors of 2535227827.
11, 37, 168353
What are the prime factors of 17072165?
5, 11, 17, 19, 31
What are the prime factors of 293677193?
17, 1811, 9539
What are the prime factors of 30258940?
2, 5, 1512947
List the prime factors of 6764099746.
2, 31, 109098383
List the prime factors of 194325649.
7, 27760807
What are the prime factors of 269061635?
5, 17, 557, 5683
What are the prime factors of 40927239?
3, 691, 6581
What are the prime factors of 492622265?
5, 367, 268459
List the prime factors of 17536155.
3, 5, 7, 13, 29, 443
List the prime factors of 138963602.
2, 69481801
What are the prime factors of 120714483?
3, 191, 210671
List the prime factors of 153587199.
3, 659, 77687
List the prime factors of 24408070.
2, 5, 2440807
List the prime factors of 339428843.
13, 4153, 6287
What are the prime factors of 1784521050?
2, 3, 5, 13, 915139
List the prime factors of 9179610.
2, 3, 5, 11, 27817
List the prime factors of 374456507.
263, 1423789
List the prime factors of 529307182.
2, 264653591
List the prime factors of 320810877.
3, 19, 23, 81569
What are the prime factors of 41085002?
2, 7, 71, 41333
List the prime factors of 81704560.
2, 5, 7, 19, 1097
List the prime factors of 136241359.
136241359
What are the prime factors of 106527823?
229, 465187
List the prime factors of 3987044666.
2, 11, 359, 504817
What are the prime factors of 139689821?
53, 643, 4099
What are the prime factors of 8052560657?
8052560657
What are the prime factors of 17338532?
2, 373, 11621
What are the prime factors of 1148370735?
3, 5, 19, 4029371
List the prime factors of 10202045.
5, 7, 41641
List the prime factors of 96831019.
96831019
List the prime factors of 1685145793.
1685145793
List the prime factors of 360558221.
107, 3369703
What are the prime factors of 981242869?
29, 4019, 8419
What are the prime factors of 31883860?
2, 5, 47, 107, 317
List the prime factors of 1441625439.
3, 43, 11175391
List the prime factors of 317231911.
347, 914213
List the prime factors of 36324019.
17, 2136707
List the prime factors of 112410710.
2, 5, 11241071
What are the prime factors of 1745120281?
37, 379, 124447
List the prime factors of 111338819.
111338819
List the prime factors of 43102501.
13, 3315577
What are the prime factors of 8431949?
17, 89, 5573
What are the prime factors of 69648070?
2, 5, 127, 173, 317
List the prime factors of 863097992.
2, 107887249
List the prime factors of 676526499.
3, 11, 283, 2683
What are the prime factors of 268789495?
5, 13, 157, 26339
What are the prime factors of 65340123?
3, 1301, 16741
List the prime factors of 163772614.
2, 41, 881, 2267
List the prime factors of 24839600.
2, 5, 62099
List the prime factors of 267614077.
267614077
What are the prime factors of 130651988?
2, 4027, 8111
What are the prime factors of 98315046?
2, 3, 17, 29, 1231
What are the prime factors of 3245344683?
3, 7, 89, 353, 4919
List the prime factors of 417250999.
11, 281, 134989
List the prime factors of 14165816.
2, 7, 131, 1931
What are the prime factors of 286641563?
13, 113, 195127
List the prime factors of 31074950.
2, 5, 29, 739
List the prime factors of 112211115.
3, 5, 7480741
What are the prime factors of 2083160406?
2, 3, 263, 1320127
List the prime factors of 206996002.
2, 311, 332791
What are the prime factors of 1622123265?
3, 5, 7, 29, 67, 7951
List the prime factors of 659699797.
659699797
List the prime factors of 249627051.
3, 919, 30181
What are the prime factors of 412883999?
11, 37, 1014457
List the prime factors of 10810307.
1583, 6829
What are the prime factors of 2047857837?
3, 223, 941, 3253
What are the prime factors of 153329371?
13, 53, 139, 1601
What are the prime factors of 513325416?
2, 3, 21388559
What are the prime factors of 5373896201?
5373896201
List the prime factors of 600093752.
2, 29, 2586611
List the prime factors of 2381633013.
3, 793877671
List the prime factors of 5262191091.
3, 23, 43, 569, 1039
What are the prime factors of 9871582?
2, 7, 705113
List the prime factors of 62979577.
17, 47, 78823
What are the prime factors of 60459034?
2, 3541, 8537
List the prime factors of 49382715.
3, 5, 227, 14503
List the prime factors of 113218630.
2, 5, 7, 41, 103, 383
List the prime factors of 301787893.
11, 17, 47, 34337
What are the prime factors of 117513245?
5, 23502649
What are the prime factors of 5742173739?
3, 29, 313, 210869
What are the prime factors of 719772016?
2, 83, 349, 1553
What are the prime factors of 3504989091?
3, 4021, 290557
What are the prime factors of 105737009?
7, 37, 408251
List the prime factors of 395707107.
3, 367, 359407
List the prime factors of 60472100.
2, 5, 13, 181, 257
What are the prime factors of 62122618?
2, 31061309
List the prime factors of 30264472.
2, 7, 540437
What are the prime factors of 3188171099?
31, 271, 379499
List the prime factors of 347021832.
2, 3, 103, 140381
What are the prime factors of 2524786408?
2, 179, 541, 3259
What are the prime factors of 16857557?
17, 991621
List the prime factors of 46223418.
2, 3, 31, 181, 1373
What are the prime factors of 379931180?
2, 5, 61, 311419
List the prime factors of 2225713245.
3, 5, 7, 21197269
List the prime factors of 1019615.
5, 61, 3343
What are the prime factors of 99793085?
5, 7, 2851231
List the prime factors of 881383832.
2, 7, 1451, 10847
What are the prime factors of 35387344?
2, 317, 6977
List the prime factors of 159734972.
2, 1601, 24943
What are the prime factors of 1890839825?
5, 7, 1697, 6367
List the prime factors of 281821329.
3, 10437827
List the prime factors of 126237146.
2, 7, 31, 290869
List the prime factors of 22501481.
67, 335843
What are the prime factors of 397404567?
3, 7, 233, 27073
What are the prime factors of 223034533?
613, 363841
List the prime factors of 68442784.
2, 29, 131, 563
List the prime factors of 55612935.
3, 5, 7, 176549
What are the prime factors of 88113208?
2, 101, 167, 653
What are the prime factors of 160788896?
2, 631, 7963
What are the prime factors of 119113433?
119113433
What are the prime factors of 2206775?
5, 103, 857
What are the prime factors of 151682213?
821, 184753
What are the prime factors of 8822690?
2, 5, 127, 6947
What are the prime factors of 213120186?
2, 3, 35520031
List the prime factors of 1213708596.
2, 3, 157, 701, 919
What are the prime factors of 66352765?
5, 2239, 5927
What are the prime factors of 3162475875?
3, 5, 13, 139, 359
List the prime factors of 5988285430.
2, 5, 383, 521, 3001
List the prime factors of 416671642.
2, 208335821
List the prime factors of 513310621.
14879, 34499
What are the prime factors of 160114348?
2, 41, 976307
What are the prime factors of 86800702?
2, 19, 2284229
List the prime factors of 270121590.
2, 3, 5, 3001351
List the prime factors of 90786242.
2, 45393121
What are the prime factors of 76342845?
3, 5, 43, 118361
List the prime factors of 31304471.
11, 1163, 2447
What are the prime factors of 1328785731?
3, 7, 13, 1622449
What are the prime factors of 237805712?
2, 31, 47, 101
List the prime factors of 9203842 | {
"pile_set_name": "DM Mathematics"
} |
6 - 3)*(-2 - 3 + 2)).
2*j
Expand 14*o + 11 - 11 + (6 - 12 - 2)*(2*o + 0*o - 4*o) - 3*o - 2*o + 4*o.
29*o
Expand (2*c**2 + c**2 - 5*c**2)*(-c - 4*c + 31*c + (-2 + 3 - 2)*(1 + c - 1)).
-50*c**3
Expand (-3 + 3 - n**2)*(7*n**3 - 18*n**3 + 6*n**3) + (3*n + 4*n - 5*n)*(-n + 7*n - 3*n)*(2*n**3 + n**3 - 2*n**3).
11*n**5
Expand -7*i - 18*i + 15*i + (2 - 5 + 4)*(i + 3 - 3).
-9*i
Expand (-3*c**2 + 6*c**2 - 2*c**2)*(-2*c + 3*c - 4*c)*(-263*c + 419*c - 221*c).
195*c**4
Expand (0*d - 2*d + 3*d)*(4 - 4 - d)*(-94*d + 94*d - 27*d**2).
27*d**4
Expand (-16*d**2 - 2*d**2 + 79*d**2)*(2*d + d**2 - 2*d + (4 + 0 - 6)*(-d + d - 2*d**2) + 1 + d - d + 2*d**2) + (-d**3 - 3*d**3 + 2*d**3)*(0*d - 2*d + 0*d).
431*d**4 + 61*d**2
Expand 21258 + 2*a**3 + 2*a**4 - 21258 + 55*a + 0 + 0 + 2*a**4 + (-a**4 + a**4 - 2*a**4)*(-1 + 2 - 2).
6*a**4 + 2*a**3 + 55*a
Expand (28 + 21 - 34)*(1 - 1 - v) - 6*v + 5*v - v.
-17*v
Expand (-3*a - 20*a**2 + 3*a + (2 + a - 2)*(-3*a + 3*a - a))*(6 + 1 + 0).
-147*a**2
Expand (-4 + 4*p - 5*p + 2*p)*(-35 - 4*p + 35).
-4*p**2 + 16*p
Expand -1884*b**4 + 89 - 42 - 47 + 3*b**2 - 3*b**2 + 2*b**4 + (-3*b**2 + 4*b**2 + b**2)*(6*b**2 - b**2 - 4*b**2) - 5*b**4 + 2*b**4 + b**4.
-1882*b**4
Expand -6*x**4 - 5*x**4 + 7*x**4 + (-x**3 - 2*x**2 + 2*x**2)*(4*x + x - 3*x) - x**4 - 4*x + 4*x + x - x - 2*x**4.
-9*x**4
Expand (0 + 0 - f**3)*(-2 + 2 - 2)*(-4*f - 2*f - 5*f).
-22*f**4
Expand (1 - 2 - 9)*(4*o + 2*o - 5*o)*(19 - 6 + 5).
-180*o
Expand (-39*j**2 - 20*j + 39*j**2 - 3*j**3)*(1 + 3*j**2 - 1).
-9*j**5 - 60*j**3
Expand (-3*j + 7*j**2 + 4*j - 2 + 6*j**2)*(96*j - 78*j - 56*j).
-494*j**3 - 38*j**2 + 76*j
Expand (-d - 4 + 4)*(-2*d - 22*d + 25*d - 10).
-d**2 + 10*d
Expand (-3*g - 6*g - g)*(22 + 7 + 17).
-460*g
Expand (-305 + 5*q - 330 - 3*q)*(q + 1 - 1).
2*q**2 - 635*q
Expand 0*k**4 - k**4 - 3*k**4 + (-k**2 - 11*k**2 - 17*k**2)*(k**2 + 0*k**2 - 2*k**2).
25*k**4
Expand -28*j**3 + 194*j**2 - 394*j**2 + 202*j**2 + 3*j**3 - 3*j**3 + 2*j**3 + (0*j - j - j)*(3 + 2*j**2 - 3) - 2 - j**3 + 2.
-31*j**3 + 2*j**2
Expand (n + 2*n + 3*n)*(-4 + 3 + 0) - 2*n - 2 + 2 + (-5 + 3 + 4)*(-1 + 2*n + 1).
-4*n
Expand (-268*q - 61*q**2 + 268*q)*(4*q**2 + 0*q**2 + q**2).
-305*q**4
Expand (-3*k - 2*k + 0*k + (1 + 2 - 1)*(-21 - 2*k + 21) - 3*k - 3*k + 5*k)*(-3 + 3 + 4*k**3).
-40*k**4
Expand (-41 - 1 - 70)*(4*a - 3*a + a).
-224*a
Expand (6*a**2 + 243*a - 266*a + 100*a**2)*(a**3 + a**3 - 4*a**3).
-212*a**5 + 46*a**4
Expand (0 - 2 + 25)*(-39*p + 1 + 90*p + 3*p**2 - 46*p).
69*p**2 + 115*p + 23
Expand (5*p - p - 3*p)*(-2 + 0 - 1) + (-2*p + 2*p + p)*(-19 + 2 + 3) + 4*p - 6*p + 0*p.
-19*p
Expand 2*l**4 - 3*l**4 - l**4 - 20*l**4 - 18*l**4 + 14*l**4 + (-4*l**3 + 4*l**3 + 8*l**3)*(-4*l + 4*l - 2*l).
-42*l**4
Expand s**5 + 3*s**5 + 6*s**5 + (2*s**2 - 2*s**2 - 2*s**2)*(4*s**3 - 4*s**3 - s**3).
12*s**5
Expand (y**3 - y**3 - 2*y**3)*(-3*y**2 + 4*y**2 - 4*y**2) - 150*y**5 + 62*y**5 - 70*y**5.
-152*y**5
Expand (8*p**4 - 2*p**2 + 3*p - p**4 - 11*p**4)*(-1 + 1 - 2*p + (0*p - 3*p + p)*(0 - 2 + 0) + 4*p - 3*p + 0*p - p + 2*p + 0*p - 22*p - 8*p - 17*p).
172*p**5 + 86*p**3 - 129*p**2
Expand -j**2 - 3*j**2 + 18*j**2 + (2*j + 2*j - 3*j)*(4*j - 2*j - 3*j) - 3*j**2 + 2*j**2 + 0*j**2.
12*j**2
Expand (-464 - 179 + 204 - 480)*(v**2 - v + v).
-919*v**2
Expand (16 - 9 + 14)*(28*r**2 + 16 - 16) - 4*r + 2*r**2 + 4*r.
590*r**2
Expand (277*i + 50*i + 0*i)*(2 - 2 - 3).
-981*i
Expand (u + u - 1733 + 1552)*(2*u**2 - u**2 - 3*u**2).
-4*u**3 + 362*u**2
Expand (-2*h**2 - 2*h**2 + 0*h**2)*(15*h - 36*h + 18 + 12*h).
36*h**3 - 72*h**2
Expand (-z + 2*z - 2*z)*(253 + 603 - 238).
-618*z
Expand (-3 - 2*l**2 + 4 + 0*l**2)*(-1572*l + 92*l**3 + 1572*l).
-184*l**5 + 92*l**3
Expand (x**4 - x**4 + x**4)*(1 + 0 + 1) - 56*x**4 + 305 - 305 - x**4 - 2*x**4 + 2*x**4.
-55*x**4
Expand 36*m**5 - 13*m**5 - m**5 + m**5 - 5*m**5 + 3*m**5 - 1 + 1 - 2*m**5 + (-m**4 + 0 + 0)*(-m + 0 + 0).
20*m**5
Expand (-2 + 2*t**2 + 2)*(-607*t**2 - 111*t + 111*t + 211*t**2).
-792*t**4
Expand (107 + 39 - 15)*(x**3 + 4*x**5 - x**3).
524*x**5
Expand (-z**3 + z - z)*(-1 + 2*z + 1) + 31455*z**3 + 27*z - 31455*z**3 - z**4.
-3*z**4 + 27*z
Expand ((1 + 4*q - 1)*(-q + q - q**3) + (q**3 + q**3 - 7*q**3)*(2*q + q + 0*q))*(-4 + 0 + 3).
19*q**4
Expand 49256 - 37*p - 49256 + (3*p - 4*p - p)*(1 + 5 - 2).
-45*p
Expand (58 + 22 + 80)*(4*j + 2*j - 7*j).
-160*j
Expand (0*a**3 + 0*a**3 - 4*a**3)*(-8*a + 4*a + 6*a)*(5 - 4 - 4).
24*a**4
Expand -1 + 1 - w**3 + (3 + 0 - 4)*(w**3 + w**2 - w**2) + 2395*w - 2395*w - 318*w**3.
-320*w**3
Expand (-48*w - 61*w + 26*w)*(-2*w**3 + 3*w**2 - 3*w**2)*(w - w + 3*w).
498*w**5
Expand (c**3 + 5*c**3 - 3*c**3)*(8 + 80 - 33)*(-2 + 6 - 3).
165*c**3
Expand (2822*s + 878*s**3 - 2822*s)*(-2*s - s + 2*s + (-2 - s + 2)*(-5 + 4 + 2) - 2*s + 2*s - 2*s).
-3512*s**4
Expand (-68 + 32*s + 68)*(5*s**2 - 7*s**2 - 2*s**3 + 3*s - s).
-64*s**4 - 64*s**3 + 64*s**2
Expand (-3*g**2 - g**2 + 3*g**2)*(-2*g**2 - 1 + 1)*(-104*g - 90*g + 185*g).
-18*g**5
Expand (-277 + 277 + 2*h + 6*h**2)*(-1 + 1 + 1).
6*h**2 + 2*h
Expand (-x**2 - 2*x**2 - 3*x**2)*(33 - 33 - 9*x**3) + 2*x**5 - 2*x**2 + 2*x**2.
56*x**5
Expand (-63 - 42 + 92)*(-2 + 2 + 2*o).
-26*o
Expand 0*y + 0*y - 4*y + (1 + 0 + 0)*(-3*y + 0*y + 5*y) + 0*y - 4*y - y.
-7*y
Expand (2*d**3 - d**3 - 3*d**3)*(-2 + d + 2 + (-1 + 6 - 3)*(d + 3*d - 3*d) + 0*d + 0*d + d + d - 2*d + 2*d - d + 3*d - d - 12*d + 9*d - 11*d).
16*d**4
Expand -57*k - k**5 + 57*k + 3 + (k**2 - k**2 + 2*k**3)*(-3*k**2 + k**2 + 3 - 2).
-5*k**5 + 2*k**3 + 3
Expand (2*i**3 - i**3 + 4 + 2)*(82*i**2 - 243*i**2 - 68*i**2 + (-2 + 2 - i)*(3 - 3 - i)).
-228*i**5 - 1368*i**2
Expand -3 - 5*b**3 + 3 + (-7*b**2 - 2*b**2 - 20*b**2)*(b - b + b).
-34*b**3
Expand 13*z + 9*z**5 - 13*z + (120*z + z**2 - 120*z)*(3*z**3 - 2*z**3 + z**3).
11*z**5
Expand (-5 + 5 - 3*s - 2*s**4)*(18 + 38 + 34) - s**2 + s**4 + s**2.
-179*s**4 - 270*s
Expand (-6 - 8 + 5 + r)*(907*r - 909*r - r**2 + 1 + 0).
-r**3 + 7*r**2 + 19*r - 9
Expand ((-1 + i**2 + 1)*(-2 - i + 2) - 3*i**3 + i**3 + 0*i**3)*(-35*i - 11*i - 21*i).
201*i**4
Expand (2 + 1 - 2)*(-l**5 + 2*l**5 - 2*l**5)*(-140 + 321 - 118)*(2 - 2 - 3).
189*l**5
Expand -10*p + 10*p - 13*p**4 + 3 + p**4 - 3 + (0*p**2 + 0*p**2 + 3*p**3)*(3*p - 6*p - 3*p).
-30*p**4
Expand (2*z**2 + z - z)*(62 + 287 + 121 + 508).
1956*z**2
Expand (-2 - 3 + 7 - 1 - 1 + 1 + (7 + 0 + 6)*(3 - 6 + 1))*(2*h**5 + 0*h**5 + 0*h**5).
-50*h**5
Expand (-2*k + 4 - 4)*(-6 + 2 + 2) + (-7 - 6 + 24)*(0*k + 0*k + k).
15*k
Expand (2*c + 0*c + 2*c)*(-2*c + 2*c - c) + (c**2 + c**2 - c**2)*(2 + 1 + 2) + 2*c**2 - c**2 + 3*c**2.
5*c**2
Expand -4*h**4 - 12*h**2 + 12*h**2 - 9 + (3*h**3 - 3*h**3 - 2*h**3)*(h - 2*h + 3*h).
-8*h**4 - 9
Expand (-1 + s + 1)*(s + 3 - 3)*(-226*s**3 + 98*s**3 + 176*s**3) - 4*s**5 + 1 - 1.
44*s**5
Expand (3*k - k + 0*k + (2 - 3 + 3)*(243*k - 73*k + 183*k))*((3 - 2 + 0)*(5 - 2 - 2) + (-5 + 4 + 3)*(-3 - 4 + 1)).
-7788*k
Expand h - 4*h - 4*h + (3 - 9 - 4)*(5*h + h - 4*h + (1 - 3 + 3)*(6*h - 4*h + 0*h)).
-47*h
Expand -126 - 123 + 255 + 22*t**3 + 6*t**3 - 3*t**3 - 4*t**3 + (-2*t - 6*t + 3*t)*(-t**2 + 3*t**2 - 4*t**2).
31*t**3 + 6
Expand (1 + 1 - 1)*(-1165*a + 11*a + 893*a - 1137*a - 2149*a).
-3547*a
Expand (g**2 - g**2 + g**2 + g**2 - 3*g + 3*g + g**2 + 0*g**2 + 0*g**2 + (-g - g + g)*(-3*g - g + 2*g) + 2*g**2 + 3*g - 3*g)*(6 - 8 + 12).
70*g**2
Expand (0*t + 0*t - 4*t)*(6*t + 7*t - 2*t + 2 - 2 - 2*t + (1 + 1 + 0)*(2*t - 5 + 5) + 2*t + 0*t + 0*t).
-60*t**2
Expand (106*y**3 - 106*y**3 + 26*y**4)*(5*y - 3*y - y + (-y - y + y)*(-3 - 2 + 4) + 2*y + 1 - 1 + (2 - 3*y - 2)*(5 + 3 - 3)).
-286*y**5
Expand -14 + 14 + 13*j**2 + (j - 3*j + j)*(-7*j + 0*j + 3*j).
17*j**2
Expand ((4*i - 3*i - 3*i)*(-2 + 5 - 2) - 2 - 2*i + 2)*(2 + 1 - 5) + 71*i + 25*i - 149*i.
-45*i
Expand (10*o**4 + 4*o**4 + 2*o**4)*(0 + 3 - 1)*(0*o + 4*o - 7*o).
-96*o**5
Expand (-8*d**3 + 9*d**3 + 4*d**3)*(-46 - 70 - 12).
-640*d**3
Expand (-499 + 312 + 259)*(15 - 15 - 12*y).
-864*y
Expand (1 + 0 - 2)*(-4*y**5 - 3*y**5 + 6*y**5)*(248 - 17 + 111).
342*y**5
Expand (-13 + 54*q**3 - 4 + 18)*(-5*q**2 + q**2 + q**2).
-162*q**5 - 3*q**2
Expand 0*k**2 - k**2 + 0*k**2 + (-k**2 - 3*k**2 + 2*k**2)*(4 + 0 - 1) - 71*k**2 - 49*k**2 + 16 - 16.
-127*k**2
Expand (2 + 1 + 0)*(-3*g**3 + 4*g**3 - 3*g**3) + (2 - 1 + 0)*(-g**3 - 40*g**3 - 37*g**3) - 4*g**2 + g**3 + 4*g** | {
"pile_set_name": "DM Mathematics"
} |
t 0.6, -1/2, h, 4 in increasing order.
-1/2, h, 0.6, 4
Let i(v) = -14*v**2 + 38*v - 16. Let u(a) = -5*a**2 + 13*a - 5. Let t(f) = 4*i(f) - 11*u(f). Let n be t(6). Sort -1/2, 4, n, 0.5 in descending order.
n, 4, 0.5, -1/2
Let a = 13073 - 13073. Sort 4, a, 8, 12 in ascending order.
a, 4, 8, 12
Let d = -6 - -5.7. Let l = 14225 + -14225.4. Let k = 1.1 + -0.6. Sort 3, l, d, k in ascending order.
l, d, k, 3
Let y = 1.39 - 105.39. Let w = -104.1 - y. Put 25, -1, w in ascending order.
-1, w, 25
Let c be (40/100 - (-358)/(-70)) + 5. Let g be 4/63 - (-4)/(-14). Put c, g, 11 in decreasing order.
11, c, g
Let w(s) = s**3 + s**2 + 12. Let i be w(0). Suppose -i*o = -48 + 12. Sort -4, o, 9 in ascending order.
-4, o, 9
Let c(k) = -4*k - 392. Let b be c(-97). Sort 3, -5, -6, 23, b in ascending order.
-6, -5, b, 3, 23
Let q be (-7 - -1)*305/(-366). Let t(g) = 2*g**2 - 7*g - 23. Let h(i) = i**2 + i - 1. Let r(a) = 3*h(a) - t(a). Let x be r(-6). Sort x, q, 0.
x, 0, q
Let l = 47/3 - 15. Let q be (4 - 7)*-4 - -2*(-630)/108. Sort q, 0.07, l, -0.3.
-0.3, 0.07, q, l
Let k = -2.9 - -3.01. Let v = -28 + 28.09. Let j = k + v. Put 0.3, j, -1/4, 1 in increasing order.
-1/4, j, 0.3, 1
Let d = -2223 + 2234.7. Put d, 5, 0 in ascending order.
0, 5, d
Let t be 13 + (1815/12)/(-11). Put 2/9, 3, 2, t, 4/9 in decreasing order.
3, 2, 4/9, 2/9, t
Let u = 70 + -69.7. Let d = -0.053 + -0.047. Let c(x) = 2*x**3 + 16*x**2 + 3*x + 20. Let l be c(-8). Put d, u, l in decreasing order.
u, d, l
Let t = -122 + 121.739. Let w = 0.661 + t. Sort w, -4, -10, -5 in descending order.
w, -4, -5, -10
Let n = -11 - -16. Suppose 3*b - b = 2*s + 18, 0 = 4*b + 5*s - 27. Suppose -g + b = 7*g. Put -3, n, g in descending order.
n, g, -3
Suppose 0 = 68*l - 66*l + 4*w + 1608, 0 = 4*l - w + 3171. Sort 3, l, -5 in ascending order.
l, -5, 3
Let r = 65 + -47. Suppose -8*v + r + 22 = 0. Let x be ((-8)/(-20))/((-7)/(-70)). Put v, x, 0 in descending order.
v, x, 0
Let v be (-1)/((236/48 + -5)/(2/(-6))). Put -12, v, -15, 22 in increasing order.
-15, -12, v, 22
Let v be 2/20*15/(-6). Let f = 29.63 - -125.47. Let r = 155 - f. Sort -5, v, 0.5, r.
-5, v, r, 0.5
Let o = -2244 + 2525. Sort 1, o, -3.
-3, 1, o
Let q be ((-306)/27)/((-2)/90). Let h = 509 - q. Sort -2, h, 31.
-2, h, 31
Let y be -6 - 287/(-2856)*62. Let m = y + 1/51. Let g = 2 + 0. Sort m, -2, 0.1, g in descending order.
g, m, 0.1, -2
Let s = -21409.9 + 21410.9. Let v = -131 - -76. Sort s, 3, v in decreasing order.
3, s, v
Let b = 96 + -175. Let m = -107 - -77. Let w be (-2)/(m/9) - 1. Put w, 1/6, b in ascending order.
b, w, 1/6
Let y = 38.18 - 38.08. Let a = 7.3 - 1.3. Let q = 9 - a. Put q, y, 1/5 in descending order.
q, 1/5, y
Let z(a) = 30*a - 240. Let k be z(8). Suppose 17*b - 2*b = k. Sort b, 22, -4, 5 in decreasing order.
22, 5, b, -4
Let x = 1656 + -1656. Sort -3/8, x, -0.06, 2 in ascending order.
-3/8, -0.06, x, 2
Suppose -5*m + 66 = 36. Let c(d) = d - 8. Let o be c(m). Sort -6, o, -1 in increasing order.
-6, o, -1
Suppose -36*b + 36135 = -45*b. Let p be 6/10 - (-1679)/b. Put 0.5, p, -5, -7 in descending order.
0.5, p, -5, -7
Let j = 35 + 60. Let w(k) = 3*k**3 - 14*k**2 - 15*k + 1. Let i be w(-1). Sort i, 4, j in ascending order.
i, 4, j
Let d be -8 + 7/1 + -1. Let v be ((-297)/30 - -11)*4/d. Put v, -1/8, -5 in descending order.
-1/8, v, -5
Let l = 35.03 - 107.03. Sort 3/4, 0.5, l in decreasing order.
3/4, 0.5, l
Let y = -29447 + 29447. Suppose 2*o + 5*h + 2 + 7 = 0, -5*h = 5*o + 15. Sort -5, o, -3, y in decreasing order.
y, o, -3, -5
Suppose y - 5*v = -25, -214*y = -212*y - 3*v + 15. Sort -11, 4, -5, y.
-11, -5, y, 4
Suppose -5*q + 8*q = 5*d - 19, 0 = d - 5. Let u = 2 + -6. Let x = -8 - u. Put 5, q, x in decreasing order.
5, q, x
Let u be (8/(3 + -1))/(-1). Let d(t) = t**2 - 21*t + 79. Let z be d(18). Let c be 5/z*0/(-1). Put -7, c, u in ascending order.
-7, u, c
Let g(z) = -2*z**3 - 14*z**2 + 168*z + 1200. Let r be g(-8). Sort -2, -6, 0, 4, r in ascending order.
r, -6, -2, 0, 4
Suppose -2*t = 4*j + 12, -19*t = -17*t - 4. Sort 421, j, -29.
-29, j, 421
Let r = -0.06568 - 0.13432. Put -2, r, 2/7, -0.1, 8/129 in descending order.
2/7, 8/129, -0.1, r, -2
Suppose 0 = -0*f - f. Suppose x - 5*x - 12 = f. Let t be 14*-7*22/539. Put 1, x, t in ascending order.
t, x, 1
Let y be (3 - 234/66)/(6/(-88)). Sort y, 3, 4, 5, -5 in descending order.
y, 5, 4, 3, -5
Let c = -1.1 + 1. Let r = -27239 - -27249. Sort c, -0.4, r, -2/11 in decreasing order.
r, c, -2/11, -0.4
Let b = -53 - -119. Suppose -5*a = b - 181. Let n = -53 + a. Sort -2, n, 3 in increasing order.
n, -2, 3
Let f be (-8)/(-10) - (-62031)/(-345). Sort -3, f, -6 in ascending order.
f, -6, -3
Let u(y) = -2*y - 3. Let o be u(-2). Let t be o + (16/100)/(2/10). Put 5, t, 1 in descending order.
5, t, 1
Let d be (64/320)/(9/72*1*-2). Put -2/7, d, -853 in descending order.
-2/7, d, -853
Let s = -25 - -24. Let g be -4*((-58)/(-6))/(12/(-9)). Sort g, -5, s in descending order.
g, s, -5
Suppose 16*y + 9*o + 57 = 13*y, 5*y + 29 = -4*o. Sort y, 0.1, 9/26 in descending order.
9/26, 0.1, y
Let x = 31 + -28.2. Let w = -0.389 + 2.189. Let u = w - x. Sort 0.2, 2/3, u in increasing order.
u, 0.2, 2/3
Let i = -464 - -463. Let s = 1077 - 1075. Let j = -0.08 - 4.92. Sort -2, j, i, s.
j, -2, i, s
Let m(h) = -4*h**2 + 244*h - 244. Let y be m(60). Sort -18, y, 10.
-18, y, 10
Let n = -118.94 + 115.94. Sort 123, 0, n in decreasing order.
123, 0, n
Let v be (2/6)/((-3)/3). Let c = -0.56563 + 0.06563. Sort 1, c, v, -33 in ascending order.
-33, c, v, 1
Let h = 3 - 2. Let p(i) = -6*i - 21. Let r be p(-11). Suppose -r = -63*s + 54*s. Put s, 3, -3, h in descending order.
s, 3, h, -3
Let c be (-452)/(-60) + -2 + 276/(-30) + 9. Sort 5, 2/311, c in ascending order.
2/311, 5, c
Let o(i) = -2*i**3 + 12*i**2 - 17*i + 98. Let h be o(5). Sort h, 1, 5 in decreasing order.
h, 5, 1
Let u be 3 - (6/6)/((-2)/(-2)). Let p(z) = -z**2 - 19*z + 39. Let a be p(u). Put a, -2, 188 in increasing order.
a, -2, 188
Let h be -2 - (-2)/(-4)*2. Let i = -400 - -598. Let l be 18/(-63) - i/42. Sort 1, 5, h, l in descending order.
5, 1, h, l
Suppose -2*i + 0 + 6 = 0. Let p = 744700 - 744701. Put p, 38, i in decreasing order.
38, i, p
Suppose -135*w + 1548 = -72. Sort w, 0, 13.
0, w, 13
Let o = 14 - 26. Let q = 621 + -617. Sort -2, o, 3, q in increasing order.
o, -2, 3, q
Let p(x) = x**2 + 5*x + 3. Let y be p(-5). Suppose w = -8 - y. Let q be (-1700)/(-150) - (1 + 10). Sort q, w, -1/2.
w, -1/2, q
Let d = 4 - 3.9. Suppose 591 = 128*b + 33*b + 36*b. Sort d, -2/27, -4, b in ascending order.
-4, -2/27, d, b
Let r be 528/(-42) + 9 - 8/(-14). Suppose 0 = 3*w - 2*w, 3*w = 5*a - 40. Let k be 10/(-4)*a/(-5). Put r, k, 2 in increasing order.
r, 2, k
Let j be (-5)/(-1 - 0) + -1. Suppose 0 = -j*a + 6*a. Suppose 3 - 35 = 4*n - 2*f, 0 = n - 3*f + 13. Sort a, n, -4, 0.4 in ascending order.
n, -4, a, 0.4
Let o be (0 + -1)*(-36)/4. Let r(n) be the first derivative of n**3/3 - 5*n**2/2 + 58. Let z be r(0). Put z, o, -1 in decreasing order.
o, z, -1
Let c = -3006.42 - -2929. Let d = c - -77. Let l = d + 0.22. Sort 1, -4, l in ascending order.
-4, l, 1
Suppose -2*z - 66 = -3*g, -65*z + 147 = -70*z + 3*g. Let s = 242 - 246. Put 3, z, s in decreasing order.
3, s, z
Let d(a) = 3*a**2 + a + 2. Suppose -n + 4*y = 38, n = -2*n - y - 75. Let u = 25 + n. Let z be d(u). Sort z, -1, -6 in descending order.
z, -1, -6
Let h(l) = -3*l**3 + 4*l**2 - 7*l - 23. Let w be h(0). Put w, 0, 3, -3 in decreasing order.
3, 0, -3, w
Let r = -168 + 198. Let k = 28 - r. Put k, 1, -1, 0.1 in descending order.
1, 0.1, -1, k
Suppose -3*w + 15 = 2*q, -3*q - 2*w + 35 = 20. Put -2, q, -26 in decreasing order.
q, -2, -26
Let y be 1268/(-951)*(-1 - 1/2). Sort y, -5, 0, 65 in ascending order.
-5, 0, y, 65
Let l = -753.7 + 753.485. Let k = -0.3 + 0.385. Let d = k - l. Sort 0.2, 0, -2/3, d in increasing order.
-2/3, 0, 0.2, d
Let l = 1 - 4. Let h = 0.38 - -0.02. Let y = 1220 + -1220.1. Put h, l, 3/5, y in increasing order.
l, y, h, 3/5
Let y(c) = -154*c + 157. Let m be y(1). Sort -100, 0, -4, m in decreasing order.
m, 0, -4, -100
Suppose -117*c + 296 = 31*c. Sort c, -9, -2 in descending order.
c, -2, -9
Let i be (-1)/5 - (6/5)/3. Put -1/2, -0.9, -12, 5, i in descending order.
5, -1/2, i, -0.9, -12
Let y = 1975.06 + -1975. | {
"pile_set_name": "DM Mathematics"
} |
t w be ((-1)/(2/(-4)))/(-10). What is the third smallest value in -20/7, w, -0.4?
w
Let i = -15432/7 + 2205. Which is the third smallest value? (a) 0.065 (b) -2 (c) i
c
Let o be (-2 - -1) + 0/1. Let x be -6 + 0 - 2/o. Let h = -3 + 3.2. What is the second smallest value in h, x, 2?
h
Let z = 967.1 - 965. Which is the biggest value? (a) z (b) -0.3 (c) -8
a
Let f = 4.71 - 5.21. Which is the biggest value? (a) 1/5 (b) 9 (c) f
b
Let o = 728 - 706. Let t(h) = h**3 + 2*h**2 + 2. Let f be t(-2). Suppose -4*u + f*d + o = 0, -16 = 4*u - u + 5*d. What is the third biggest value in -4, u, 0.5?
-4
Suppose 0 = 37*y + 358 + 1418. What is the smallest value in 3/5, y, -1/4, 0.1?
y
Let k = -5 + 4.6. Let u = 46 - 45.727. Let z = u - -0.027. What is the second smallest value in k, -3, z?
k
Let t(j) = 2*j**2 - 11*j + 19. Let y be t(5). Let i be (-30)/75 - 2*y/80. What is the third biggest value in -0.3, -1/26, i?
i
Let w = 0.14 + 6.86. Let s be (-6)/(-7) - (1 + 0). Let l = -6766 + 6765.8. What is the biggest value in w, l, s?
w
Suppose -4*q = -q + 24. Let i(b) = -b**2 - 7*b + 10. Let c be i(q). Let g be (c/(-9))/((-11)/33). What is the second smallest value in g, -4, -4/9?
-4/9
Let n = -0.1 + 0.1. Let j be (-108)/(-18)*(-8)/84. What is the second smallest value in j, -1/4, n?
-1/4
Suppose -2*g - 2*g + 16 = 0. Let d = -2079 - -8267/4. Let z = d + 43/4. What is the smallest value in z, -5, g?
-5
Suppose -58 = -3*y - 52. Suppose t - 4*n - y = 0, 0*n - 2 = -t - n. Let p = -177/7 + 25. What is the second smallest value in -3/4, t, p?
p
Let d = -515 + 514.6. Which is the smallest value? (a) -3/2 (b) d (c) -2
c
Let h be 3*(7 + -3 + 1). Suppose -5*m - 56 = 4*q, -2*q - 23 = -m - 9. Let o be (-12)/q*h/(-190). What is the second biggest value in o, -0.1, 3/2?
-0.1
Let r = 52 - 191. Let n = 59 + r. Let f be (-128)/n - 2*1. Which is the smallest value? (a) -0.5 (b) -26 (c) f
b
Let f = 4 + -6. Let v be (-15)/(30/(-4))*34/(-16). What is the biggest value in f, -3, v?
f
Let n be 7*6/924*11. Which is the third biggest value? (a) n (b) 0 (c) -0.3
c
Let v = 341 - 339. What is the third biggest value in -17/6, -2, v?
-17/6
Let y = 9.64 + 0.36. What is the fourth smallest value in 1/10, y, 1, 0.2?
y
Let t = 2.9 - 0.3. Let p = 0.6 - t. Let f be (-141)/45 + 3/1. Which is the biggest value? (a) 1/3 (b) f (c) p
a
Let q = -6.69 - -0.69. Let i = -11 - q. What is the second biggest value in i, -0.4, -0.9?
-0.9
Let y be 2020/(-300) + (7 - 2). Which is the second smallest value? (a) 0.3 (b) -0.4 (c) y
b
Let z be 2/3*9/21. Let d = -190 - -187. What is the biggest value in -4, d, z?
z
Let o be (-14)/6 - (24/3)/48. Which is the second smallest value? (a) 0.4 (b) o (c) -3/19
c
Let v = -37.6 + 38. Let l = -2817/82 + -6/41. Let x = 36 + l. What is the second smallest value in x, v, 0.3?
v
Let w(o) = 3*o**2 - 14*o + 46. Let t be w(8). Let s be (-72)/t*14/(-20). Which is the third smallest value? (a) 0.5 (b) 0 (c) s
a
Suppose 5*s = q + 17, 4*q - q = -3*s + 39. Suppose 3*y + 40 = q*y. Let t be (y/6)/((-8)/12). What is the second smallest value in 1, t, -3/4?
-3/4
Let c be (-23)/69 - (-2)/12. What is the third biggest value in c, -442, 3/7?
-442
Let j = -0.28 - -0.48. Let d = -20 + 13. What is the fourth smallest value in d, -0.02, j, 0.4?
0.4
Let z = -0.3 - -0.6. Let n be ((-8)/6)/((-24)/252). Let o = 27/2 - n. Which is the biggest value? (a) z (b) 3 (c) o
b
Let z = 4771.1 - 4971. Let n = z + 173. Let v = n + 27. Which is the second smallest value? (a) -0.5 (b) v (c) -0.02
c
Let l be (-2)/(-9) + (-8)/(-18). Let c = 268/7 + -271/7. What is the biggest value in c, 1, 3, l?
3
Let y = -4.907 + -0.093. Which is the second smallest value? (a) -2/183 (b) y (c) -2/7
c
Let r = 14.5 + -20.6. Let g = 6.1 + r. Let t = -0.2 - -0.6. Which is the second biggest value? (a) t (b) g (c) 3/16
c
Let b = -86 + 1288/15. What is the second biggest value in 2/5, -0.1, -0.06, b?
-0.06
Let t = -233 + 232. Which is the second biggest value? (a) t (b) 4 (c) -5 (d) 1/6
d
Let n = 3.6 + -6.9. Let j = n - -15.3. Let i = j - 13. What is the second smallest value in -0.02, i, -2/5?
-2/5
Suppose -4*p + 12 = 5*k, -5*p - 6*k + 4*k = 2. Which is the second biggest value? (a) -0.4 (b) p (c) 0.56
a
Let p = 46.2 - 42. Let u = 1.777 + 1.723. Let h = u - p. What is the smallest value in h, 3, -0.2?
h
Let w = 5.9602 - 0.9602. Let g = -2 + 1. Let y = 0.99 + g. What is the third biggest value in 2, w, y?
y
Suppose -5*q = 114 + 1176. Let m = q + 3352/13. What is the second biggest value in -4, 0.4, m?
m
Let f(h) = -h**2 + 17*h + 18. Let v be f(18). Suppose 4*t - 5*s - 21 = v, 2*t - 4*s + 0*s - 12 = 0. Let n be 2/2*2/(-9). What is the biggest value in 5, n, t?
5
Let u = 100.3 + -107. Let q = -0.7 - u. What is the third biggest value in 3, q, 0.4, -4?
0.4
Let f = 183 - 131. Let t = 56 - f. Let l = 5/13 + -33/52. Which is the third biggest value? (a) t (b) 5/4 (c) l
c
Let w be -23546642744*(4/(-15064) + 0). Let b = w - 6252428. Let p = 2/269 + b. What is the third smallest value in 5, -0.2, p?
5
Let l be (-3 + (-7 - -1))*1/(-21). What is the smallest value in l, -6, 0.5?
-6
Let w = -3.4 - -3. Let s = 51 - 18. Let r be (-2 - 4/(-8))/(s/4). Which is the second smallest value? (a) -1 (b) r (c) w
c
Let m = -0.2 - -1.6. Let t = m - 0.4. Suppose 24*g + 4 = -44. Which is the smallest value? (a) g (b) -0.01 (c) t
a
Let n = 97.1 - 9.1. Let x = n - 88.3. Which is the fourth smallest value? (a) 1/4 (b) x (c) -3 (d) -0.8
a
Let q(i) = -2*i**2 - 3*i + 2. Let r be q(1). Which is the third smallest value? (a) 2/7 (b) 14 (c) r (d) 4
d
Let v be (-4)/14*8/(-8). Let r be -1 + 7 - (-12 - 189/(-9)). Let u = 61/5 - 57/5. Which is the smallest value? (a) v (b) u (c) r
c
Let j = 610.6 + -611. Let k = 4 + -3.6. Let f = k + j. Which is the second biggest value? (a) f (b) -1/2 (c) -2/3
b
Suppose -19*l + 3 = -20*l. Which is the fourth biggest value? (a) l (b) 0.1 (c) -7/5 (d) -5
d
Let a = 107 - 112. What is the third biggest value in 18, 1, a, 0.5?
0.5
Let o = -0.23 + -2.97. Let d = 3.1 + o. Let m = 7 + -4. Which is the second biggest value? (a) -0.4 (b) m (c) d
c
Let x(z) = z**3 - 2*z**2 + 4*z - 3. Let v be x(0). What is the fourth smallest value in 0.7, 4, -5, v?
4
Let f be (7 + -9)/((-4)/18). Suppose -q + f = 3*h - 0, 0 = 5*q + 4*h + 10. What is the third smallest value in 3, 2/7, q?
3
Let l be (2/10)/((-3)/(-6)). Let z = 2.84 + -2.9. Let t = z - -0.56. What is the smallest value in l, t, 3/2?
l
Suppose l - 5 = -6. Let a(v) = 30*v - 3. Let g be a(1). Let x be (9/g)/(24/(-9)). What is the third biggest value in -1/7, x, l?
l
Let y = 0.022 - -0.178. What is the third smallest value in -0.5, 0.3, -2/7, y?
y
Let l = 2.08 - -0.92. Which is the third smallest value? (a) 19 (b) l (c) -0.5
a
Let v be (-286)/13 - (-1 + -1 - -1). Let g = v - -29. What is the third smallest value in 1/6, g, -1?
g
Let j = 2063/9 + -229. Let c(u) = 2*u**3 + 9*u**2 + 6*u + 8. Let i be c(-4). What is the second biggest value in j, i, 3?
j
Let i = 2849/4 - 712. What is the smallest value in -0.5, -0.2, -31, i?
-31
Let h = 79 - 77. Suppose -7*i + 117 = 2*i. Which is the fourth smallest value? (a) 5 (b) h (c) i (d) 2/9
c
Suppose -14*m + v = -18*m + 5, 0 = m - v. What is the biggest value in -3, 2, m, -4?
2
Let h = 2090 - 2086. Which is the second biggest value? (a) h (b) 2 (c) -0.042
b
Suppose 0 = 120*r - 88*r - 192. What is the biggest value in -11, 3/4, -3, r?
r
Let g = -12.5 + 13.5. Let m be -1 - -5*2/4. Which is the second smallest value? (a) g (b) 5 (c) m
c
Let z = -0.2413 - 0.0587. Which is the second biggest value? (a) 0.2 (b) z (c) -1/2 (d) -5/2
b
Let o = 13 + -17. Which is the second smallest value? (a) -2/17 (b) 1/5 (c) o
a
Let s = 18 + -19. Suppose 0 = -4*w - 2 - 6. Suppose 0 = 2*x + 4*u - 8, 3*x + u = -2*x + 11. Which is the third smallest value? (a) x (b) w (c) s
a
Let q(y) = 2*y**3 + 8*y**2 - y - 7. Let v be q(-4). What is the biggest value in v, 5, 0?
5
Let y = 748.4 + -748. Let d(s) = s - 2. Let h be d(6). Let i be h/(-15) - 2/5. What is the second biggest value in y, i, -0.2?
-0.2
Let t = -1959 + 1963. Which is the smallest value? (a) 3/5 (b) 6 (c) t
a
Let g = -332.8 + 333. What is the | {
"pile_set_name": "DM Mathematics"
} |
288 + v. What is p rounded to 4 dps?
0.0001
Let p = -467631 + 467630.070039. Let i = -163 + 163.93. Let k = p + i. What is k rounded to five dps?
0.00004
Let k = 2.541712 + -2.556. Round k to four decimal places.
-0.0143
Let y = -5470.75226 - -5461.05225323. Let g = y - -9.7. Round g to 7 dps.
-0.0000068
Let i = -10225 - -10224.99994759. Round i to 6 decimal places.
-0.000052
Let n(k) = -7612*k + 62. Let c(b) = 7612*b - 63. Let m(l) = 2*c(l) + 3*n(l). Let v be m(5). Round v to the nearest 10000.
-40000
Suppose 1724*h - 1708*h = 1450884 + 3153916. Round h to the nearest 10000.
290000
Let d = 197248604 - 197249360.9998355. Let t = 757 + d. Round t to 5 decimal places.
0.00016
Suppose 27 = d - 6*d + n, -4*d + 5*n = 9. Let f be (212/d)/(18/3753). Let y = 1367 + f. Round y to the nearest ten thousand.
-10000
Let t be 2/(-12) + 604859394/(-36). Let p = t - -11101650. Round p to the nearest 1000000.
-6000000
Let a = 1634.1 - 1805.79. Round a to the nearest 10.
-170
Let p = 29.84 - 25.9. Let w = 3.93999686 - p. What is w rounded to 7 dps?
-0.0000031
Let j = 1164.7728 - 1164. Let l = j + -0.79. Round l to 2 decimal places.
-0.02
Let j be (-751632008)/(-56) + (-7)/49. What is j rounded to the nearest one million?
13000000
Let v = 154 + -161.814. What is v rounded to 2 decimal places?
-7.81
Let t = 18956 + -18956.0044387. Round t to three decimal places.
-0.004
Suppose 5*j = 9 + 1. Suppose j*p - 55 = -3*p. Let r = -87 - p. Round r to the nearest 10.
-100
Let i = -66.882 + 64.9. Let t = -2.32 - i. What is t rounded to 1 dp?
-0.3
Let a = 11634 + -11633.9938532. Round a to five dps.
0.00615
Let r = 926.01 - -5921.69. Round r to the nearest ten.
6850
Let k = -22.56 + 23. Let w = 14.44 - k. Let p = w + -14.00041. What is p rounded to four dps?
-0.0004
Let d = -540970 - -540969.9411687. Let t = d - -0.0588. Round t to 5 decimal places.
-0.00003
Let k = 263 + -116. Let f = 147.00000214 - k. Round f to 7 decimal places.
0.0000021
Let v = -3743.999999126 + 3744. What is v rounded to 6 decimal places?
0.000001
Let m = -1177.7 - -1251. Let g = -77 + m. Let i = 3.707 + g. What is i rounded to 2 decimal places?
0.01
Let w = -1261.6 + 1261.588867. Round w to 3 decimal places.
-0.011
Let m(c) = -22*c + 268. Let u be m(16). Let s be 48599/(-1) + u + 83. What is s rounded to the nearest ten thousand?
-50000
Let z = -67.1 + -662.9. Let x = -729.997764 - z. What is x rounded to four decimal places?
0.0022
Let u = 2904.984 - 2897. What is u rounded to 1 dp?
8
Let u = 344.4 + -0.4. Let h = -328.004 + u. Let f = h + -16. Round f to three dps.
-0.004
Let v = -351.0604 + 0.0604. Let f = 351.000036 + v. What is f rounded to six dps?
0.000036
Let s = -0.4169 + 0.2558. Let j = -9.8779 + s. Let y = 10.1 + j. Round y to two dps.
0.06
Let j = 305209 - 305262.7068. Let d = -106 + 159.8. Let l = d + j. What is l rounded to 2 dps?
0.09
Let a = -2624357 + 3941157. What is a rounded to the nearest ten thousand?
1320000
Let w = -4156.00001218 - -4156. Round w to 6 decimal places.
-0.000012
Let p = -15117.4 - -3531.1. Round p to the nearest 1000.
-12000
Let f = -361 - -59. Let j = 169 + f. Let b = -132.999999208 - j. Round b to seven dps.
0.0000008
Let i = -15307.947 - -15319. What is i rounded to one decimal place?
11.1
Let h = 10543.00010337 - 10543. Round h to 5 dps.
0.0001
Let w = -0.3114 - -1.2418. Round w to one decimal place.
0.9
Let a = 10.739 - 2.371. Let i = a + 53.6212. Let o = 62 - i. Round o to 3 decimal places.
0.011
Let f = 10789.99965262 + -10790. What is f rounded to six dps?
-0.000347
Suppose 622623 - 2170943 = -16*q. Round q to the nearest 10000.
100000
Let k = 342 + -257. Let g = -85.001215 + k. What is g rounded to four dps?
-0.0012
Let f = -0.500602 - -0.57034. Let z = f + -10.469964. Let t = 10.4 + z. Round t to 5 decimal places.
-0.00023
Let x = 40.0500825 + -40.05. What is x rounded to 5 decimal places?
0.00008
Let s = 4278 + -4265.782. What is s rounded to 1 dp?
12.2
Let a(p) = -329*p + 89. Let h be a(4). Let w = h - -6687. What is w rounded to the nearest one hundred?
5500
Suppose 2*v = 5*i - 2 - 4, 2 = -4*v + 5*i. Suppose -4*j + 0*j - 2*h = -26, 3*j - v*h - 23 = 0. Suppose j*p - 18969 - 6231 = 0. Round p to the nearest 1000.
4000
Let h = -176187 - -507357. Round h to the nearest 1000.
331000
Let x(n) = 2*n**2 + 3*n - 7. Let q be x(-3). Suppose -5*k + 80499980 = -5*z, -5*k - q*z + 31664979 = -48835029. Round k to the nearest one million.
16000000
Let a = -4455 - -5136.6. Let j = a + 20.4. Let n = -701.99307 + j. Round n to three dps.
0.007
Let p = -601082.5633 + 601056. Round p to one decimal place.
-26.6
Let d = 21.6988 - 0.0888. Let u = -0.39 - d. Let r = u - -21.88. What is r rounded to 2 decimal places?
-0.12
Let n = -1.04 + 7.42. Let q = n + -6.4303. What is q rounded to two dps?
-0.05
Suppose -4*r + 2*r + 6 = 0, 62040012 = -4*w + 4*r. Round w to the nearest one million.
-16000000
Let m = -987 - -986.146. Let w = m - 0.029. What is w rounded to 1 decimal place?
-0.9
Let k = 64947 + -35523. Suppose 2*t - k = 116746. Suppose 11*l + t - 18635 = 0. What is l rounded to the nearest 1000?
-5000
Let o = 5585.4 - 6511.62. What is o rounded to the nearest 10?
-930
Suppose 0 = -154*t + 153*t + 2*r - 370954, 2*t = -4*r - 741932. What is t rounded to the nearest one hundred thousand?
-400000
Let k(o) = -o**3 + 16*o**2 + 15*o + 50. Let l be k(17). Suppose -l*n - 89500106 = 107299894. What is n rounded to the nearest one million?
-12000000
Suppose -3*c + 16 = 4. Let s be 40295 - (2/(-2) - c). Round s to the nearest 10000.
40000
Let h be (-1 + 1 - 4)/(59 - 61). Suppose 500235 + 379766 = h*a - r, 2*a = 4*r + 880004. Round a to the nearest 100000.
400000
Let m = 2.28189118 + -485.28409618. Let s = -483 - m. Round s to four decimal places.
0.0022
Let o = -8933 - -8931.7012. What is o rounded to two dps?
-1.3
Let i = 73860 - 186210. Round i to the nearest 1000.
-112000
Let o(i) = -322009*i - 8. Let j be o(-8). Let c be j/16 - (4 - 0). What is c rounded to the nearest 10000?
160000
Let g(c) = -212*c + 675. Let o be g(-38). Round o to the nearest one thousand.
9000
Let u = -7127310 - -11267146. Suppose 0 = -5*n - 9160164 - u. Round n to the nearest 100000.
-2700000
Suppose 5*l - 73070 = -2*c, -2*c + 25744 = -3*l - 47310. Round c to the nearest 1000.
37000
Let v = 4.68 - -426.32. Let m = v - 431.0000779. Round m to 5 decimal places.
-0.00008
Let r = 4113 + -4112.99164. Round r to 3 dps.
0.008
Let c = 748.6 - 840. Let p = -15.6 - c. Let k = -83.83 + p. What is k rounded to 0 dps?
-8
Let q = 290.9 + 17.1. Let z = -308.00000103 + q. What is z rounded to 6 dps?
-0.000001
Let h(k) = 132999*k**2 + 19*k + 95. Let x be h(-8). Suppose u + 3*b - x = 5918127, -5*u = -5*b - 72149990. Round u to the nearest 1000000.
14000000
Let o = 67 - -105. Let n = 171.99999236 - o. What is n rounded to seven decimal places?
-0.0000076
Let o be (-95256)/(-10) - (-2 + ((-136)/40 - -5)). Round o to the nearest 100.
9500
Let v(g) = -3*g - 21. Let h be v(8). Let u = 85 + h. Let y be (-4)/(-10) + (-96)/u - -4. Round y to the nearest ten.
0
Let k = 32050483 + -32050482.194329716. Let a = k + -8.805669104. Let h = a - -8. Round h to seven dps.
0.0000012
Let b = -26 + -149. Let x = -122 - b. Let q = 52.899 - x. Round q to two dps.
-0.1
Let h = 45827 + -45826.954638. What is h rounded to 2 decimal places?
0.05
Let l = -288 - -315. Let s be (-5760)/l*(-1248 - -3). What is s rounded to the nearest 10000?
270000
Let d = -0.0941 - -36.0941. Let q = -134807745.0000013 + 134807709. Let l = d + q. What is l rounded to 7 decimal places?
-0.0000013
Suppose -161*m - 60*m - 669366771 = -238962641. Round m to the nearest one hundred thousand.
-1900000
Let x be 794*(-42)/4*(-2168)/(-24). Let y be ((-2)/(-4))/(3/(-1160673))*-2. Let b = y - x. What is b rounded to the nearest one hundred thousand?
1100000
Let k = 15003 - 15124.34. Round k to 0 decimal places.
-121
Let a = 1.433 - -809.567. Let t = a + -902.6. What is t rounded to zero dps?
-92
Let s = 74184 - 48908. Let m = 25095.826 - s. Let f = 180 + m. What is f rounded to two decimal places?
-0.17
Let x = 0.276 - 121.276. Let f = x + 117.71. Let v = f - -3.431. What is v rounded to 2 dps?
0.14
Let w = -250776.387653 + 0.387653. Let i = -250884.941 - w. Let s = i - -109. | {
"pile_set_name": "DM Mathematics"
} |
qrt(8)/sqrt(4) + sqrt(2)) + 2.
2 + 8*sqrt(11)/3
Simplify (((3*sqrt(1440))/sqrt(8))**2 - (((-3*sqrt(120) - sqrt(120)) + sqrt(120))/sqrt(6) + sqrt(20))/sqrt(4))*-6.
-9720 - 12*sqrt(5)
Simplify -3*(1 + sqrt(312)/sqrt(6) - 3*sqrt(832)).
-3 + 66*sqrt(13)
Simplify 4*(sqrt(19) + sqrt(684)*-5 + (sqrt(190)/(sqrt(20)/sqrt(2)))**2) + -4.
-116*sqrt(19) + 72
Simplify (-3 + 4*sqrt(12)/sqrt(4))*-2 + sqrt(33)/(sqrt(77)/sqrt(7)) + (sqrt(99)/sqrt(3) + sqrt(33) + sqrt(33))/sqrt(11).
-4*sqrt(3) + 6
Simplify 3 + sqrt(6)/sqrt(2) + -3 - (1 + sqrt(75))**2*6.
-456 - 59*sqrt(3)
Simplify -5 + 2*(4 + -2*sqrt(1053) + sqrt(13) + (1*sqrt(156) - sqrt(156))/sqrt(12) + 3).
-34*sqrt(13) + 9
Simplify 1 + 3 + (sqrt(425) + 3 + (sqrt(425) - -2*sqrt(425) - sqrt(425))**2)*2.
10*sqrt(17) + 3410
Simplify 2 + (((sqrt(1700) - (-1 + sqrt(1700)))**2 - sqrt(17)) + sqrt(17) - ((-1 + sqrt(17) - sqrt(17) - sqrt(17)) + 0)) + 0.
4 + sqrt(17)
Simplify ((sqrt(1400)*1)/sqrt(4))/(-2*sqrt(14)/(1*sqrt(2))).
-5*sqrt(2)/2
Simplify -4 + 3*(sqrt(704)*2 + 0 + sqrt(704) + 5 + 1).
14 + 72*sqrt(11)
Simplify 5*(3*(2 + (sqrt(272) - (sqrt(272) + 1)) + sqrt(272) + sqrt(272) + sqrt(272)) - ((sqrt(272) + 0)*-3 - (1 + 1*sqrt(272))))**2.
2080*sqrt(17) + 229920
Simplify (sqrt(190) + sqrt(190)*-2*-1 - -6*-1*sqrt(190))/(-6*(sqrt(90)*-1 - sqrt(90) - sqrt(90))/sqrt(9)).
-sqrt(19)/6
Simplify 3*(1*sqrt(147)/sqrt(3))/(sqrt(49)/(sqrt(7)*1)).
3*sqrt(7)
Simplify sqrt(40)/(sqrt(64)/(sqrt(32)/sqrt(4))) + (5*1*sqrt(245))**2.
sqrt(5) + 6125
Simplify ((sqrt(1700) + sqrt(1700)*1 - sqrt(1700)) + 1 - (sqrt(68) + -2 + 2))**2.
16*sqrt(17) + 1089
Simplify -4 + -5 + sqrt(72) - ((sqrt(32) + -2)*4 + sqrt(32) + sqrt(32))**2.
-1225 + 390*sqrt(2)
Simplify 4*((sqrt(700) + -1)*-2 - (sqrt(700) - (sqrt(700) + sqrt(700)*-4 + 5 + sqrt(700)))).
-200*sqrt(7) + 28
Simplify ((sqrt(90)/sqrt(5) + sqrt(18))/sqrt(3))/(-3*sqrt(72)).
-sqrt(3)/9
Simplify (-5*(sqrt(400) - (sqrt(400) - (sqrt(400) + sqrt(400)*-1 + sqrt(400)))))/(-5*(sqrt(180) - sqrt(180)*-1) + sqrt(180) + sqrt(180)).
5*sqrt(5)/12
Simplify -3 + (-2 + sqrt(275))**2 - (-5 + -2 + sqrt(1100)).
-30*sqrt(11) + 283
Simplify (-1*(sqrt(117) - (5*-1*sqrt(117) - sqrt(117))))/(-6*-1*sqrt(1296)).
-7*sqrt(13)/72
Simplify ((-6*sqrt(1500)*-2)/(sqrt(972) + ((sqrt(972)*-1 - sqrt(972)) + sqrt(972) - sqrt(972)) + sqrt(972) + -6*sqrt(36)/sqrt(3)))**2.
500
Simplify (2 + (1*sqrt(180))/(-1*sqrt(90)) + -3)**2 + 2.
2*sqrt(2) + 5
Simplify (sqrt(108)*2)/(sqrt(4) - (sqrt(28) + sqrt(112)/sqrt(4))/sqrt(7)) - (2*sqrt(147) + sqrt(147) + -3 + 4).
-27*sqrt(3) - 1
Simplify (((sqrt(144)*-1)/sqrt(8) + sqrt(18))**2 + -5*(sqrt(2) + 3 + 1 + sqrt(2)))*1.
-20 - 10*sqrt(2)
Simplify -4*(6*sqrt(245)*3 + 6*-1*sqrt(245))**2.
-141120
Simplify -3 + 3 + (3 + (1 + sqrt(2448))**2)*6 + 0.
144*sqrt(17) + 14712
Simplify ((2 + sqrt(112) - sqrt(7))*-5)**2 - (1*-1*sqrt(112))**2.
300*sqrt(7) + 1563
Simplify sqrt(88)/(sqrt(8)*3) + -4 - (sqrt(99) + 5*(sqrt(99) + ((sqrt(99)*-1 + sqrt(99))**2 - sqrt(99) - sqrt(99)))).
-4 + 37*sqrt(11)/3
Simplify 2 + -2*-5*(sqrt(1872)*1 + sqrt(1872))**2 + (-2*(sqrt(1872)*2)**2 - (sqrt(1872) + 0)*-6).
72*sqrt(13) + 59906
Simplify 3 + 3 + 0 + sqrt(176) + 3 + -4.
5 + 4*sqrt(11)
Simplify ((-5 + 4*(sqrt(11) + sqrt(77)/(sqrt(7)*2)))*-1)**2.
-60*sqrt(11) + 421
Simplify ((1*sqrt(180) - sqrt(180) - sqrt(180))/sqrt(5))/(sqrt(12)*2*3) + -2.
-2 - sqrt(3)/6
Simplify (4*(sqrt(4400) - (sqrt(4400) - sqrt(4400)*-4)))/((sqrt(16) + (sqrt(16) - (sqrt(16) - sqrt(576)*-4)))/sqrt(4)).
160*sqrt(11)/23
Simplify (0 + (sqrt(208) - (sqrt(208) + 0)) + 3)**2 - (3 + sqrt(208)*1)*2.
-8*sqrt(13) + 3
Simplify (1*(-1*sqrt(396) + -2))**2 + -1.
24*sqrt(11) + 399
Simplify (0 + sqrt(891) + 1 - (sqrt(891) + 0)*3 - (2*sqrt(891)*6 + (sqrt(891) + sqrt(891) + 0)*1))**2.
-288*sqrt(11) + 228097
Simplify (-2*(4 + (sqrt(3630) - sqrt(3630)*-4)/sqrt(10)*4))**2.
7040*sqrt(3) + 580864
Simplify -5 + -1*(1*sqrt(143))/sqrt(11)*-4.
-5 + 4*sqrt(13)
Simplify -2 + ((0 + sqrt(153))**2*5 - 4*(sqrt(153) + sqrt(153) + 2)**2).
-1701 - 96*sqrt(17)
Simplify ((-1 + sqrt(19))*-1 + -4)**2 - ((sqrt(19) - -1*(1 + sqrt(19))) + 5 + sqrt(171)).
sqrt(19) + 22
Simplify sqrt(32) + sqrt(192)/sqrt(6) + 3 + sqrt(320)/(sqrt(10)*-3).
3 + 20*sqrt(2)/3
Simplify (sqrt(3630) - (sqrt(3630) + 1*sqrt(3630) + sqrt(3630)) - sqrt(120)/sqrt(4)*-1)/((sqrt(600) + (sqrt(600) - sqrt(600)*2))*-6 - sqrt(600))*5.
21*sqrt(5)/2
Simplify (4*(sqrt(684) - 4*(sqrt(684) - (sqrt(684) + 1 + sqrt(684)))) + 6*(sqrt(684) + 2) + 3)**2.
9672*sqrt(19) + 463345
Simplify (sqrt(1512) - (sqrt(1512) + (sqrt(1512) - (sqrt(1512) - -6*(1*sqrt(1512) - sqrt(1512)) - sqrt(1512)))))/((sqrt(18) + sqrt(864)/sqrt(3))/sqrt(3))*-1.
6*sqrt(7)/5
Simplify (sqrt(130) + -1*sqrt(130)*-5 - -2*sqrt(130)*-1)/((sqrt(10) - -2*sqrt(30)/sqrt(3)) + -6*1*sqrt(10)).
-4*sqrt(13)/3
Simplify 3 + (-4*(sqrt(209) + sqrt(209)*-2))/(sqrt(704)*-1) + 5.
-sqrt(19)/2 + 8
Simplify ((sqrt(242) - (1 + sqrt(242))**2) + -3 + sqrt(242))*2 - (sqrt(72) + -2 + sqrt(72) - sqrt(2) - (-3*sqrt(24) - sqrt(24))/sqrt(12)).
-490 - 15*sqrt(2)
Simplify (-5*(-5 + -6*sqrt(275)) + 4)**2.
8700*sqrt(11) + 248341
Simplify 2*sqrt(20)/sqrt(4)*5 + sqrt(25)/((sqrt(405) + (sqrt(405) + 1*sqrt(405) - sqrt(405) - sqrt(405)) - sqrt(405)) + sqrt(405)).
91*sqrt(5)/9
Simplify ((sqrt(832) + -4*sqrt(832) + sqrt(832) + -2)**2 - ((sqrt(832) + (sqrt(832) - (sqrt(832) + -2 - sqrt(832))))**2 + -4))*-6.
-24
Simplify ((5*sqrt(81)*1)/(sqrt(33)/(-2*sqrt(1584))))**2.
388800
Simplify (((sqrt(28)/(sqrt(28)/sqrt(7)))**2 + 3)*1 + -3)*5.
35
Simplify 4*(-1*(sqrt(450) - (sqrt(450) + -1 + 4)))**2.
36
Simplify (-5*sqrt(228)*1 + sqrt(228)*1*3)/(sqrt(96)/(sqrt(1152)*-2)).
48*sqrt(19)
Simplify 2*-3*((sqrt(5)*3)**2*-2 + sqrt(5))*2.
-12*sqrt(5) + 1080
Simplify (-1*-3*sqrt(170)*-2)/(5*2*sqrt(10) + (-5*(sqrt(10) + sqrt(10)*-1) - sqrt(10))).
-2*sqrt(17)/3
Simplify 3 + ((2*sqrt(2)*1 - sqrt(36)/sqrt(2))*2 + -2)**2.
8*sqrt(2) + 15
Simplify 4*-6*-1*sqrt(5445)*-1 + -3.
-792*sqrt(5) - 3
Simplify (1 + sqrt(1216) + -2)**2 + ((1*sqrt(1216) - sqrt(1216))*4 - sqrt(1216)) + 4 + 1.
-24*sqrt(19) + 1222
Simplify ((1*sqrt(6048)*-5)/(sqrt(42)/((sqrt(84)*-2)/sqrt(12))))**2.
100800
Simplify (2 + (sqrt(11) + (sqrt(11) - -3*sqrt(11)*-2))**2 - (1 + -3 + sqrt(1331))**2) + -1.
-1158 + 44*sqrt(11)
Simplify 2 + 6*(1 + sqrt(180) - sqrt(180))*-1 + -4 + -4.
-12
Simplify (6*(sqrt(85) + 2*sqrt(85)*-2))/(sqrt(245)*1 + (sqrt(20) - sqrt(320)) + sqrt(5) + sqrt(5)).
-6*sqrt(17)
Simplify (sqrt(114) + -1*(3*sqrt(114) - sqrt(114)))/(sqrt(6) + (sqrt(864) - (sqrt(864) + -2*sqrt(864)))).
-sqrt(19)/25
Simplify ((sqrt(200)/sqrt(196))/((sqrt(100) - sqrt(100)*-4 - sqrt(100) - sqrt(100))/sqrt(10)))**2.
5/441
Simplify (5 + -4*(sqrt(300) + -6*(-1*sqrt(300) + sqrt(300) + sqrt(300))) + -3)**2.
800*sqrt(3) + 120004
Simplify ((5 + 1 + sqrt(1900))*5 + (-3*2*sqrt(1900) - ((sqrt(1900) - -2*sqrt(1900) - sqrt(1900) - sqrt(1900)) + 4)) + -2)**2.
-960*sqrt(19) + 8176
Simplify 2*((sqrt(475) + -1)**2*-4 - 4*(0 + sqrt(475))) + 5.
-3803 + 40*sqrt(19)
Simplify (-4*(sqrt(22) - ((sqrt(66) - -1*sqrt(66))/sqrt(3) + sqrt(22))))/(sqrt(132)/(5*sqrt(36)/sqrt(3))).
40*sqrt(2)
Simplify (-6*(-4*sqrt(85) + sqrt(85) - sqrt(85)))/(sqrt(605) + sqrt(605)*-3 - sqrt(605)).
-8*sqrt(17)/11
Simplify -3*(((-1*sqrt(504))/sqrt(8))/sqrt(9) - (sqrt(336)*-2 + sqrt(21))/sqrt(3)).
-18*sqrt(7)
Simplify (5*(sqrt(228) + 6*-3*sqrt(228) + sqrt(228) + sqrt(228) + sqrt(228)))/((sqrt(120)*2)/sqrt(10) - sqrt(24)/sqrt(2)*-6).
-35*sqrt(19)/4
Simplify ((-1 + (sqrt(1900) + -1 + 3 - sqrt(1900)) + -4)*1)**2.
9
Simplify (sqrt(144)/sqrt(2) + -2*sqrt(2178))/(sqrt(384) - (sqrt(384) - 4*-1*sqrt(384))).
5*sqrt(3)/8
Simplify (-4*sqrt(20)/(5*sqrt(4)*-2 + sqrt(4)) + ((2*sqrt(160))/sqrt(8))/(1*sqrt(4)*1))**2.
2420/81
Simplify (sqrt(720) - (sqrt(720) - 6*(sqrt(720)*-1 - sqrt(720))))/(sqrt(36)/(sqrt(36)/(sqrt(81)/sqrt(9) + sqrt(9)))).
-24*sqrt(5)
Simplify (sqrt(104)*1*3 - sqrt(104))/sqrt(8)*-4 - (2*sqrt(832) - sqrt(13) - (-2 + (sqrt(13) + 2)**2)).
-19*sqrt(13) + 15
Simplify -1*(((sqrt(408) + -3*sqrt(408))/sqrt(8))/sqrt(3) - sqrt(51)/(sqrt(36)/sqrt(3))).
5*sqrt(17)/2
Simplify ((sqrt(567)/(sqrt(45)/sqrt(5)) - sqrt(252)/sqrt(4)*3)/(-3*sqrt(2304) - sqrt(2304) - sqrt(36)))**2.
7/1089
Simplify (((sqrt(80) + -2)*5 - (-5 + sqrt(80) + -2 + sqrt(80))) + sqrt(80) + sqrt(80) | {
"pile_set_name": "DM Mathematics"
} |
is the units digit of r?
3
Let l(x) = -13*x + 645. What is the hundreds digit of l(0)?
6
Suppose 4*b + 5*c = c + 148, 4*b - 151 = -5*c. Let k = b - 30. Suppose 0 = 3*f - 5*a - 61, 8*a + 74 = k*f + 5*a. What is the units digit of f?
7
Let f(d) = 113*d**2 - 7*d + 4. What is the units digit of f(2)?
2
Let l be ((-2)/5)/(3/(-45)). Suppose -p + 71 - l = 0. What is the tens digit of p?
6
Let m = 19 + -13. Suppose 0*u = -3*c - 5*u - 31, -4*c = 3*u + 34. What is the units digit of 206/m - c/(-21)?
4
Suppose 11*h + 60 = 15*h. Let n be (-3 + -2)*(-213)/h. Suppose 2*d = 3*k + n, k - 5*k = 5*d - 143. What is the tens digit of d?
3
Suppose -32*x = 57*x - 390087. What is the tens digit of x?
8
Let n = -37 - -200. What is the units digit of n?
3
What is the tens digit of (-4)/8*11/(11/(-34))?
1
Let l(s) = -14*s**3 - 16*s**2 + 3*s + 4. Let m(v) = -5*v**3 - 5*v**2 + v + 1. Let q(t) = 2*l(t) - 7*m(t). Let h = 1 - -1. What is the units digit of q(h)?
7
Suppose -5*o + 145 = -5*n, 5*o - n - 100 = -5*n. Suppose 72 = 28*v - o*v. What is the units digit of v?
8
Let y = -69 + 106. Suppose -2*w + 3 = r - y, -5*r - 66 = -4*w. What is the units digit of w?
9
Let r = 4605 + -1661. What is the hundreds digit of r?
9
Suppose 9*o = 13*o - 764. Suppose 44 = -t + o. What is the hundreds digit of t?
1
Let b(i) = -11*i**3 + 2*i**2 + 3*i + 2. Let a be b(-1). Let j = a - 10. What is the units digit of 2/(-4)*(j + -4)?
1
Let m = 137 - 119. What is the tens digit of m?
1
Suppose y - 37 = -6. What is the tens digit of y?
3
Let x(v) = -2*v + 2. Let p be x(-1). Suppose -7*n = -p*n + 3*g - 273, -92 = -n - 2*g. What is the tens digit of n?
9
Suppose 11154 = 87*u - 16512. What is the units digit of u?
8
Let y(m) = 16*m - 1. Let q = 45 + -42. What is the units digit of y(q)?
7
Let s(d) = d - 23. Let f be s(17). Let a(o) = -o**3 - 5*o**2 - 17*o + 3. What is the units digit of a(f)?
1
Let c = 6 + -5. Let t(j) = -1 + c - 1 + 4*j + 3. What is the units digit of t(3)?
4
Suppose -97*m - 78 = -103*m. Suppose -68 = -4*f + 20. Let u = f - m. What is the units digit of u?
9
Let l(h) = 19*h + 31. Let w(x) = 20*x + 29. Let o(j) = -7*l(j) + 6*w(j). What is the units digit of o(-17)?
8
Suppose 2*f - 13 + 3 = 0. Suppose 8*n = -f*c + 9*n + 536, n - 544 = -5*c. What is the hundreds digit of c?
1
Suppose 3*b = -5*u - b + 14, -5*u = b - 11. Let k(m) = 16 - m**3 - 10*m**2 + 14*m - 2*m**u - 24*m. What is the units digit of k(-11)?
5
Suppose -2*p + 4 = -0*p. Suppose -p*n + 2 = -8, 0 = 5*l - 4*n - 110. Let q = 60 - l. What is the tens digit of q?
3
Let k = 102 + -172. Let i = -57 - k. What is the tens digit of i?
1
Let i(p) = p**2 - 5*p - 1. Let t be i(6). Suppose 0 = t*g - 141 - 44. Suppose 3*x = -u + 12, 8*x - 3*x = 4*u + g. What is the units digit of x?
5
Let p = 1029 + -735. What is the hundreds digit of p?
2
Let z = -22 + 38. Suppose z = -q + 61. What is the tens digit of q?
4
Let l(g) = g**3 - 12*g**2 + g - 9. Let m(h) = h**2 + 10*h - 12. Let y be m(-12). Let u be l(y). Suppose u*s - s - 86 = 0. What is the units digit of s?
3
Let w = -569 + 1357. What is the units digit of w?
8
Suppose 43*z + 18*z - 123952 = 0. What is the tens digit of z?
3
Suppose 32*s - 33500 = -18*s. What is the hundreds digit of s?
6
What is the units digit of (-108)/21*(12 + -47)?
0
Let h(f) = 33*f**2 - 4*f - 17. What is the hundreds digit of h(-9)?
6
Let f = -1511 + 2162. What is the tens digit of f?
5
Suppose -6*w - 1211 + 4481 = 0. What is the hundreds digit of w?
5
Suppose 0 = -6*d + 205 + 797. What is the hundreds digit of d?
1
Suppose -3*j + 11*j = 208. Suppose 3*m - j = 37. What is the units digit of m?
1
Let y(k) = 572*k - 1091. What is the units digit of y(12)?
3
Let l = -8 - -9. Let g be (-1)/(-2) - (-27)/6. Let x = g + l. What is the units digit of x?
6
Suppose 4*x - 1575 = -119. Suppose n - 5*n = -x. What is the units digit of n?
1
Let s(p) = p**2 - 33*p - 29. Let f(g) = g**2 - 17*g - 14. Let w(l) = 5*f(l) - 3*s(l). What is the tens digit of w(-10)?
7
Let m = 1813 - 934. What is the tens digit of m?
7
Let w = -6193 - -10760. What is the thousands digit of w?
4
Let f(v) = 2304*v**2 + 5*v - 6. What is the units digit of f(1)?
3
Let s be (-9)/7 - 10/(-35). What is the tens digit of (1*(-212)/(-1 - -5))/s?
5
Suppose 1079 + 573 = 4*n. Suppose 0*m + m = -s + 97, -4*s = -m - n. Suppose 23 = g - 7*p + 4*p, 0 = 4*g - 2*p - s. What is the units digit of g?
6
Suppose y - 203 = -f, 0*f - 1008 = -5*y + 2*f. Let b = -96 + y. What is the units digit of b?
6
Let f be (3/6 + 1)*(-112)/(-24). What is the units digit of 3/f - 1537/(-7)?
0
Let z(c) = 2*c**2 - c + 2. Let q be z(1). Suppose -3*j = 5*r - 165 - 175, 0 = -r - q*j + 68. What is the tens digit of r?
6
Suppose 5 = 5*r - 20. Suppose -2*g + 5*x = 5, 1 = r*g - 2*x + 3*x. Suppose g = 3*f - 19 - 134. What is the tens digit of f?
5
Let n = -4595 - -7077. What is the hundreds digit of n?
4
Let y(a) = 3*a**2 - 9*a - 17. What is the hundreds digit of y(21)?
1
Let p(t) be the third derivative of 17*t**5/60 - t**4/12 - 4*t**3/3 + 32*t**2. What is the hundreds digit of p(4)?
2
Let i be (4 - -2) + (3 - 6). Let v = i - 4. Let d = 2 - v. What is the units digit of d?
3
Let a = -30 + 258. What is the hundreds digit of a?
2
Suppose -3*g + 1090 = 4*o, g - 6*g + 1826 = 2*o. Suppose -31*h = -37*h + g. What is the units digit of h?
1
Suppose -8 = -4*x, -3*g - 3805 = -8*g + 5*x. What is the hundreds digit of g?
7
Suppose -5*m - 17*g + 13*g + 2605 = 0, 0 = -3*m + g + 1563. What is the tens digit of m?
2
Suppose 4*p - 5*o = -3*o + 8, -6 = -3*p - 2*o. Suppose 2*m - 4*c - 12 = 0, 0*c - 36 = -2*m - p*c. What is the tens digit of m?
1
Suppose 8*h - 2*k + 1535 = 11*h, -k - 1541 = -3*h. What is the tens digit of h?
1
Suppose 4*o - x = -2*x + 18092, -3*o + 2*x + 13580 = 0. What is the tens digit of o?
2
Let h be (-6 - -30)/4 + 6. Let x(n) = -n - 2. Let i be x(-2). What is the units digit of ((-4)/h + i)*-33?
1
Let v = -1023 + 1923. What is the tens digit of v?
0
Let m(a) = -6 - 3 + 2*a + 3 - 1. Let h be m(7). Let l = 4 + h. What is the units digit of l?
1
Let v = 30 + -45. What is the tens digit of (-7 - -2)/(3/v)?
2
Suppose 0 = -4*h - 8, -5*p + h + 7 + 10 = 0. Suppose 125 + 256 = p*d. What is the units digit of d?
7
Let y(c) = 2*c**2 - 26*c - 30. What is the hundreds digit of y(-15)?
8
Let u(g) = 7*g**2 + 9*g + 5. Let z = 41 + -45. What is the units digit of u(z)?
1
Let d(y) = 75*y - 206. What is the hundreds digit of d(7)?
3
Let x be ((-4)/(-5))/2 - (-10368)/30. Let t = x + -220. What is the units digit of t?
6
Let l(u) = 2*u**2 + 10*u + 3. Let c be l(-4). What is the tens digit of (4 + c)*15*-3?
4
What is the hundreds digit of -28 + 37 - -3*1031?
1
Let b be (2/(-5))/((-5)/(-25)). Let l(k) = 23*k + 5. Let h be l(-4). What is the tens digit of (-8)/(-12)*h/b?
2
Let x = -465 - -682. What is the units digit of x?
7
Suppose 2*c + 1998 = -2*l, -5*c = l - 13 + 992. What is the tens digit of -4 + 75/21 - l/7?
4
What is the hundreds digit of ((-2)/4)/(34/(-9112))?
1
Let t(p) = 31*p - 158. Let u be t(6). Let b(j) = -j - 14. Let d be b(0). Let l = u + d. What is the units digit of l?
4
Let s(b) = 4825*b**2 + 4*b - 2. What is the tens digit of s(-1)?
1
Suppose w + 4*i - 14 - 10 = 0, 15 = 5*w - i. Suppose -w*a + 38 = u, u - 3*a - 21 = -u. What is the tens digit of u?
1
What is the units digit of (-3)/15 + (-8712)/(-60)?
5
Let s be 1/10 - (-29)/10. Suppose -s*f = -0*l - l - 216, -3*l + 144 = 2*f. What is the tens digit of f?
7
Suppose -4*r - 227 = -3*b - 0*b, -r = 4*b - 309. Suppose -3*g = q - g - b, -226 = -3*q - 5*g. What is the units digit of q?
7
Let l = 13 + -10. Suppose o = 2*o + 3, -o = l*x + 9. Let p(s) = -4*s + 2. What is the units digit of p(x)?
0
Suppose 0 = -4*g - 4*f + 1589 + 3599, -4*g - 2*f = -5182. What is the thousands digit of g?
1
Let r(y) = y**2 - 5*y + 2. Let n be r(3). Let c(g) = 6*g. Let h be c(-1). What is the units digit of (-1 - n)/(h/(-22))?
1
Suppose 0 = -3*c + 7*c - 16. Suppose 4*n - 2*x = -18, c*n + x - 6*x + 27 = 0. What is the tens digit of -38*3/18*n?
1
Suppose 0*w = 4*w - 12. Suppose 0 = v + w*v - 4*f - 32, v - 2*f = 12. Suppose 4*g - 3*j = -v*j + 143, 2*j = -g + 41. What is the units digit of g?
5
Suppose 0*c + 4*c - 64 = 0. Suppose 5*m - 200 = -65. Let o = m - c. What is the tens d | {
"pile_set_name": "DM Mathematics"
} |
4)/10. Which is greater: t or c?
t
Let d(s) = -2*s**3 + 1. Let q be d(-1). Suppose -4 = v - 3*v. Which is smaller: q or v?
v
Let w = -2 + 5/2. Let h be (-15)/6 - (0 - 2). Which is greater: w or h?
w
Suppose 0*u = 5*u - f + 3, 2*f = 4*u. Which is bigger: -5/13 or u?
-5/13
Suppose 36 = 4*v - 0*v. Let y be 3*(24/(-9) + 2). Let x be 3/y*(-6)/v. Is 0 smaller than x?
True
Let n(k) = 26*k - 2. Let c be n(-1). Which is smaller: c or -27?
c
Let j(m) = m**2 - 5*m + 4. Let h be j(3). Let o be (0 - h) + 16/(-8). Suppose -3*q + q = o. Is q at most as big as -2/7?
False
Let a = -21 + 43/2. Which is greater: 12 or a?
12
Let r = -8 - -8. Which is smaller: 1/3 or r?
r
Suppose 0 = 2*u, -2*u = 4*z - 3*u - 12. Let x be (-2)/z - (-16)/15. Is -1 greater than x?
False
Let q = -170 + 168. Is q at most 0.7?
True
Let d be -3*(1 - 4/3). Suppose -k = -5 - d. Let y = -4 + k. Is 1 equal to y?
False
Let g = 0.5 + 0.2. Let u = -0.33 + 1.13. Let w = u - g. Which is smaller: w or 4?
w
Let n = -2 - 1. Which is greater: n or -8/3?
-8/3
Let h = 37/2 - 13. Which is smaller: 7 or h?
h
Suppose 47 = d + 11. Let y be (-4)/(d/23) + 3. Is -1 greater than or equal to y?
False
Let w be 0 - -3 - 3/(-3). Let k be 5 + ((-4)/10 - 39/65). Is k < w?
False
Let d(p) = 2*p - 21. Let c be d(11). Which is greater: c or 1/8?
c
Let n(g) = 11*g**2 + 3 - 13 + 9*g - 10*g**2. Let f be n(-9). Which is bigger: f or -9?
-9
Let l be (-2 + 1 + 1)/(-1). Let w = 2/7 + -29/28. Which is smaller: l or w?
w
Let j = -5 + 2. Let g = -3 - j. Let l = -2 - 0. Which is smaller: l or g?
l
Let m be -3 + -2 + 1 + -1. Does m = -3?
False
Let k be 20/8 + 2/(-4). Suppose 4 + 4 = 4*h. Let f be h*(k - 5/2). Which is greater: -1/7 or f?
-1/7
Suppose 6*y = 9*y - 15. Suppose -3*i + 15 = -2*u, -4*u = -5*u - y*i - 1. Which is smaller: u or -5?
u
Let u = 15 - 11. Suppose -3*w = 5*n - u*w, 0 = -n + 2*w. Which is greater: n or 1/2?
1/2
Let r(s) = -9*s**2 + 20*s**3 + 8*s - 8*s**3 + 8 - 11*s**3. Let m be r(8). Is 7 > m?
False
Suppose -11 = 5*k + 9. Let l = -1.6 + 0.6. Is l != k?
True
Let i be 1 + (-8)/36 + -1. Which is smaller: -11 or i?
-11
Let l = 1 + -2. Let i = -37 + 110/3. Are i and l unequal?
True
Let w be (-49)/21 + 4/(-6). Let p = 1 + 3. Suppose -3*c - p - 5 = 0. Are c and w unequal?
False
Let k be (-162)/280 - 34/(-85). Which is greater: 0 or k?
0
Suppose 2*c - 3*w = 61, -2*c - c + 5*w + 91 = 0. Is c < 31?
False
Suppose -3*q + 26 = 2*p, 1 = -2*p + 3. Suppose 3*z = 3*i + 6, -2*z - q = -0*i + i. Let a(x) = x - 1. Let y be a(0). Which is greater: z or y?
y
Suppose a + 2 + 1 = -2*c, 2*c - a = 3. Let u(i) = i**3 + 6*i**2 + 6*i + 7. Let v be u(-5). Suppose c = 5*n - t + 1, v*n + 5 = -t - 1. Are -2 and n nonequal?
True
Suppose 0 = -4*d + 33 - 1. Which is smaller: d or 12?
d
Let z = -6 - 24. Are z and -30 equal?
True
Let t(v) = v**2 - 6. Let y(j) = j - 1. Let r(p) = -t(p) + 4*y(p). Let x be r(6). Which is greater: x or -11?
x
Let z be (1 - -1) + 4 + -10. Which is smaller: z or -5?
-5
Let q = 40 + -22. Let d be ((-2)/q)/(3/6). Is d at least as big as 0?
False
Suppose 3*q + 10 = -89. Is q equal to -31?
False
Let p(y) = y + 1. Let j be p(1). Let m be j/(-8)*20/15. Is m smaller than -1/2?
False
Let l = 60720/29 + -2094. Is 0 != l?
True
Let b(f) = -f - 3. Let r be b(-8). Suppose 22 = -4*o - p, -r*o - p - 28 = -0*p. Does -6 = o?
True
Suppose 3*q - 17 = 2*z - 4, -4*q + 19 = -z. Suppose q = -3*i - 7. Suppose 5*o = -2*t - 31, -2*o = t - 0*t + 13. Are i and t nonequal?
True
Suppose -3*n = 12, 0 = -0*w - 2*w - n - 4. Suppose -4*g = 2*v - 16, w = -4*g + 5*v - 0 - 12. Let f be g - (-2 + (-7)/(-2)). Is f smaller than 0?
False
Suppose -17 = 5*h + 93. Let j be h/(-6) + 9/(-3). Which is smaller: -1/4 or j?
-1/4
Let b(l) = -l**3 - 30*l**2 + 26*l - 13. Let h be b(-31). Are h and 141 unequal?
True
Let z = 3.7 + -1.7. Let r = -1.3 + 0.3. Are r and z non-equal?
True
Suppose 3*g + 2*b + 0*b = 10, 4*g = -3*b + 13. Suppose 0 = -m - 3, -2*o - 6 = m + 3*m. Is g <= o?
False
Suppose -2*j - 3*j = 0. Which is smaller: j or -2/25?
-2/25
Let p = -0.3 + 0.2. Let m = 5 + -5.3. Which is greater: p or m?
p
Let m be (-3 - 1/1)*(-5)/(-16). Suppose 4*b + 2 = 10. Suppose 2*f = 3*i + 16, -3*f = b*i - 5 - 6. Which is greater: i or m?
m
Let a be 33/(-110) - 2/(-8). Does 0.2 = a?
False
Let r = 0.85 - 0.05. Let n = r + -1.8. Is n < 0.03?
True
Let n be (1 - (3 - 2))*-1. Let k = 3 + 2. Suppose -1 - k = 3*h. Which is smaller: n or h?
h
Suppose 11*q + 3 = 12*q. Which is bigger: 1 or q?
q
Let u = -853/2023 - 2/289. Is -1 < u?
True
Let z be (5 + -6)/((-2)/30). Suppose 5 = -5*m - z. Is m at most as big as -6?
False
Let a = 0.3 + -0.3. Let w = -3 - a. Let l = -137/3 - -46. Which is smaller: l or w?
w
Let q = 6 + -6. Let p = q + -1. Is p >= -4/5?
False
Suppose 5*g = k + 10, 4*g = 3*g + 4*k + 2. Let p = 3 - g. Which is smaller: p or 5/4?
p
Let j = 4 + -4.5. Which is smaller: -0.2 or j?
j
Let v(g) = -g + 9. Let b be v(9). Which is greater: 13 or b?
13
Suppose 3*h = 22 - 4. Let i = -29 + 20. Let z be (i/h)/(-1 + -2). Is z < 0?
False
Let m(d) = -d**3 - 11*d**2 - 10*d + 8. Let v be m(-10). Suppose v = t + t. Which is bigger: 5 or t?
5
Let k be (8/(-2) + -2)*(-1)/4. Which is smaller: k or 2?
k
Let h be (1 - 1)/(-1 + -3 + 0). Is h greater than or equal to 4/35?
False
Let c be 0 - -19 - (2 - 5). Suppose c = 3*m + 4. Which is bigger: m or -1?
m
Let o(v) = -8*v + 56. Let i be o(7). Is i <= -6/31?
False
Let j = 7 - 3. Is 0.03 bigger than j?
False
Let f = 1.1 - -0.9. Let w = 1 - f. Is w bigger than 0.09?
False
Let r = 0.06 + 0.54. Let c = r + -0.8. Is c <= 2?
True
Let a = -0.05 - -0.11. Let d = -3.06 + a. Let q = d - -3. Is 0.1 at most q?
False
Suppose -2*l - l = -12. Which is bigger: l or 3?
l
Let k(w) = w**2 + 6*w + 1. Let b be k(-6). Let x be (-5 - -5) + (b - 0). Which is greater: x or -1/3?
x
Let f be -2 + (-1 - -3 - 3). Let a = 9 - 11. Is a < f?
False
Suppose -209 - 636 = 5*k. Let l = -365 - k. Let a = l - -1370/7. Is a not equal to 0?
True
Let u = -0.3 + 0.33. Let j = 0.07 + u. Which is greater: j or 1/2?
1/2
Suppose -3*k = -6*k - 12. Let j be (-28)/(-21)*(-6)/k. Suppose -4*d + 2 = -j. Is 1/3 at most as big as d?
True
Let j be 5*(0 - (-4)/(-10)). Let w(t) = t**2 + 3*t + 2. Let k be w(j). Suppose 0*z - 2*z - 2 = u, 4*z = 3*u - 14. Is z equal to k?
False
Let u = -4 + 2. Let h be 8/(-6)*2/4. Which is smaller: u or h?
u
Let m be (-26)/(-10) - 14/(-35). Let o be m/1*2/3. Are 2 and o equal?
True
Suppose 0 = m + 3*i - 6, -m + 5*i = 27 - 9. Is m > -3?
False
Let s = -11 - -8. Let g = 10 + -11. Are s and g unequal?
True
Let k be 33/(-164) - (-1)/4. Let o(z) = z**3 + 23*z**2. Let m be o(-23). Is k less than or equal to m?
False
Let d = 2/27 + -37/135. Let b = 369 - 6271/17. Is d smaller than b?
True
Let d = 0.37 - 5.37. Which is smaller: d or -1?
d
Let t = -14 - -16. Let b = t + -1. Which is bigger: b or -4?
b
Suppose 0 = 5*q - a + 27, a - 12 = 4*q + 9. Let y be 1/(-2) + q/(-4). Is 1 >= y?
True
Let r = 3 + -2.99. Let z = 2.01 - r. Let p = 3 - 3.1. Is p less than z?
True
Suppose -2*i - 5*t + 7 = 0, 12 = 4*i + 3*t - 9. Let p be (3/i)/(1 - 0). Which is greater: p or 2?
2
Suppose -y = p - 13 + 5, -y = -5*p + 22. Does p = -1/5?
False
Let o be (1/(-5))/(7/(-595)). Is o > 17?
False
Let y = -34 + 37. Let l = 9 + -6. Is y greater than l?
False
Let t be (-3213)/(-68) + (2 - 18/8). Is t < 48?
True
Let o = 1.7 - 1.8. Which is smaller: 1/3 or o?
o
Let w be 0*(5/(-2) + 2). Suppose -5*r - 10 = -w. Let v = r - -5. Which is greater: v or 5?
5
Let a be (3 + 1 + -4)/2. Is a at most as big as 4/9?
True
Let p be 3 - 0/(-1 - -4). Suppose p*z + 10 = 1. Does 0.1 = z?
False
Let x = 10 - 6. Suppose x*d + 4 = 12. Let z be (4 - 2)*(-4 + 5). Is d bigger than z?
False
Let n be (15 - 1)/((-8)/6482). Let h = 157761/14 + n. Let u = h + 75. Is 0 at most u?
True
Let x = -0.2 + 0.2. Let h = 50998/85 + -600. Let m = h - 77/340. Which is smaller: m or x?
m
Let w be (82/(-15))/((-16)/3). Let f be 46/(-40) + (-4)/16. Let p = w + f. Which is smaller: 0 or p?
p
Suppose 4*j + t + 2*t = 20, -j - t = -6. Suppose 8 = -m + 3*q + 2, -5*q + 10 = 3*m. Is j not equal to m?
True
Let c be 0/(1*2/(-1)). Let g be (-100)/(-55) + 4/22. Suppose -3*v + 5*t = -8, -g*v - 2*v + 2 = 2*t. Is v >= c?
True
Let r be (-9 - 0)*2/3. Let b = -18 - r. Let k be (-10)/4*b/(-165 | {
"pile_set_name": "DM Mathematics"
} |
(c) i
c
Let h = -1405 - -1392. What is the closest to 4 in -0.5, h, -3/5, -2?
-0.5
Let j = -591 + 601. Which is the closest to -2/3? (a) 2/19 (b) 3 (c) j
a
Let g = -12.5 - -46. Let t = g - 33. Which is the closest to -2/3? (a) -5 (b) t (c) 4
b
Let o = 0.216 + 0.284. Let l be 0 - (5/(-2))/5. Which is the nearest to o? (a) 0.4 (b) -1/6 (c) l
c
Suppose -2*p = 2*u + 10, 13 = -u - 4*p + 5. Which is the nearest to -2/15? (a) -12 (b) -2/13 (c) u (d) -5
b
Let u = -39.7 + 39.9. Let o be 0/(4/2 - 3). Suppose w + 4*l - 11 = 0, -5*w - l + o*l = 2. Which is the closest to 2? (a) -4 (b) u (c) w
b
Let j be ((-3)/((-6)/4))/((-144)/(-6246)). Let a = j + -87. What is the nearest to a in -5, -3/2, -0.2?
-0.2
Let v = -0.185 + 0.185. What is the nearest to v in -2, -1, 7/4, 0.5?
0.5
Let h = -229.012 - -230. Let m = h - -0.012. Which is the closest to -1? (a) m (b) 5 (c) -1
c
Let j = -9.06 - -0.06. Let i = j + 4. Let d = 9 + i. What is the nearest to -3 in d, -2, 0.5?
-2
Let i = -8 + 8.3. Suppose p + p + 4 = -5*l, 4*l + 2*p = -4. Let z be 91/35 + (-1*2 - l). Which is the nearest to -1/3? (a) z (b) i (c) -2
b
Let a = 8270 + -8275. Let o be 1/(-1) + 10/6. What is the closest to o in 2/9, a, 4?
2/9
Let b = -1339 + 1339. Let k = -1 - -2. What is the nearest to k in 1, -0.1, b?
1
Let o = 14 + -9. Let s = 4627.5 - 4628. Which is the closest to -0.1? (a) s (b) o (c) 2/3
a
Suppose -4*p + 1 = -7. Suppose 2*z + p*z = -4. Let u = -5 + 4.6. Which is the nearest to 2/3? (a) 4 (b) u (c) z
b
Let v = -6327 + 6813.1. Let r = -523 + v. Let s = -37 - r. What is the closest to -2/5 in 2, s, -0.3?
-0.3
Let d = -27 - -30. Let k be (-31)/(-35) - (-9)/(-15). Which is the closest to -2? (a) k (b) d (c) -4
c
Suppose -3*m = -2*t - 14 + 1, 2 = -t - 3*m. Let h be 0 - -4 - (0 + 0 + 0). Let p be (3/12)/((-4)/h). Which is the nearest to p? (a) t (b) -0.4 (c) -2/23
b
Let s = -0.8 - -0.3. Let j be 49/(-98)*(3 + (-28)/12). Which is the closest to j? (a) s (b) 5 (c) -0.04
a
Let u = -3.89 + -0.11. Let r be -1 - 1*4/(-5). What is the nearest to 1 in -1.1, u, r?
r
Let v = -556/7 - -79. Let a = 140 - 135. Suppose 4*k + 12 = 0, a*k - 31 = 5*n + 7*k. What is the nearest to 2/3 in n, v, 0?
0
Let g = -21.9 - -21.6. Which is the closest to -3? (a) 0.4 (b) g (c) -1/5
b
Suppose 5*j + 4*m + 5 = 0, -5 - 5 = 2*m. Let i = -4 + j. Let z be 27/63 - 3/7. What is the nearest to i in 1/11, z, 1/8?
z
Let v = -1210 + 1219. What is the closest to v in -3, -0.03, -0.3?
-0.03
Suppose 0 = 7*v + 19 - 33. Let l(j) = j**3 - 7*j**2 + 6*j - 1. Let g be l(6). Let n be -2 - g - 1/1. Which is the closest to 1? (a) n (b) -3/4 (c) v
c
Let m = -169 - -169. Which is the nearest to m? (a) -2 (b) 0.7 (c) -2/5 (d) 0.2
d
Suppose -y - 2 = -4*r, r - 5 = -4. Suppose -s = -1 + y. Let v = -1 + 1.4. Which is the closest to 0? (a) s (b) v (c) 4
b
Let x = -441 - -441. Let l be (-10)/35 + 1/28. Which is the closest to x? (a) 0.4 (b) l (c) 0.3
b
Let y be 6/(-4)*(-8)/(-21). Let h be (0 - 4/(-10))*20/16. Let j = -28 - -30. Which is the closest to 0? (a) j (b) y (c) h
c
Let k = -672 - -679. What is the closest to 2/5 in 0.1, 3, k?
0.1
Let h = 465.96 - 466. Suppose -j - 9 = s + s, 4*j + 12 = 4*s. What is the nearest to -1/5 in h, 1/5, j?
h
Suppose 0 = -0*h + h - 3. Let s be 21/(-49)*(4/3)/(66/(-231)). Which is the nearest to 2/11? (a) h (b) 5 (c) s
c
Let p = -90 - -86. Let x be (-9)/4 - 6/p. Let y = -170 - -1192/7. Which is the nearest to x? (a) -1/3 (b) 2/9 (c) y
a
Let t = -94 - -472/5. Let r(o) = -o - 3. Let i be r(-4). Let v be (i/14)/(1/(-6)). Which is the nearest to t? (a) -2/13 (b) v (c) 1
a
Let n = 2.99 - 0.09. Let y = n + -0.9. Which is the closest to 1/3? (a) 1 (b) 0.02 (c) y
b
Suppose 0 = -5*k + 13 + 12. Let l = -0.08 + 1.58. Let d = l + -1. What is the closest to -2 in k, d, 0.4?
0.4
Let o be (-2)/(-5) + 116654/(-210). Let x = 555 + o. Let f be (-3)/4*(1 - -1). Which is the closest to -0.3? (a) -5/4 (b) f (c) x
c
Let t = 1.61 - 1.71. Which is the nearest to 0.4? (a) -5 (b) t (c) 0.5
c
Let u = 14 + -13.6. Let t = 2 + -2.2. Let j(a) = -a**3 + 4*a**2 + 3*a - 9. Let w be j(4). What is the closest to 1/3 in w, u, t?
u
Let w = 4709/5901 - -30/281. Let a = -4/7 + w. Suppose -x - 1 = -4. What is the nearest to a in -0.5, -3, x?
-0.5
Let r = -0.12 + 0.16. Let v = r - 0. Let u = v + -0.15. What is the closest to u in -0.4, 0, 4?
0
Let j be ((-10)/(-140))/(21/98). Let i = 14/15 - 3/5. What is the closest to j in 1, -13, i?
i
Let x = -698 + 698. Let v = -96 - -387/4. What is the closest to 0.1 in v, x, 4?
x
Suppose -3*v + 4*v = 2. Let i be (2*9/(-21))/v. What is the closest to -19 in i, 4/5, 2/3?
i
Let r = -0.095 + 3.095. What is the nearest to -42 in -3, -4, r?
-4
Let k = 170 - 176. Let r = 13 - 10. What is the nearest to k in r, 2, 3/7?
3/7
Let o = -4.88 + -0.12. Let l = 104 - 120. Let q be (-1 + l/(-12))/(-1). What is the nearest to 0 in q, 2/7, o?
2/7
Let j = -468 + 4214/9. What is the closest to j in 2/11, 9, -0.5?
2/11
Let m be 3*(2 + 4/(-3)). Suppose -5*y - 5 = -m*o + 2, 0 = -y - 5. Let q be (8 - 6)/(o - 1). What is the nearest to 0 in q, -3, 4?
q
Let q be (19/(-152))/((-10)/16). Which is the closest to -2? (a) q (b) 5 (c) -1/4
c
Let i = 553 - 555. Let l be (2 - 9/6)*-4. What is the closest to i in 1/5, l, 0.4?
l
Let g = -109 + 108. Let v(w) = w - 1. Let o be v(-3). Let n = -0.08 + 0.38. Which is the closest to o? (a) n (b) 0.4 (c) g
c
Let o(r) = -r**2 + 10*r - 2. Let y be o(9). Suppose 4*t + 3 = y. Let q = 3.7 - 4. Which is the closest to t? (a) 2/3 (b) q (c) 4
a
Let n = -0.2 - -0.1. Let u = 136.6 - 21.6. Let i = u - 114. Which is the closest to i? (a) 0 (b) n (c) -1
a
Let d be 64/20 + -4 - (-68)/60. Which is the nearest to 1? (a) d (b) 3 (c) -2/13
a
Suppose -4*g - 15 = -5*l, 2*g = -3*g. Let b = 2.2 - 2.3. What is the closest to 1/7 in l, b, -5?
b
Let a = -19.1 - -5. Let r = a - -13. Let y = r - -0.7. What is the closest to -2 in -4, 4, y?
y
Let h = 88.7 + -89. What is the nearest to 1.4 in 0.4, h, 3?
0.4
Let w = 0.034 + -0.134. Let z = 6 - 3. Which is the nearest to 1/5? (a) z (b) w (c) -4
b
Let m = -0.02 + -3.98. Let b = -2357 - -2357. What is the closest to b in -2, -1/2, m?
-1/2
Suppose 4*a + 0 = 5*z - 14, -5*a - 11 = -3*z. Let c be 33/6 + a + -1 + -2. What is the closest to -2 in 1, c, -2?
-2
Let f = 5 + -13/3. What is the closest to 1 in f, 1/9, 1/2?
f
Let d = 2 + -3. Suppose -2*u = u - 6. Let l be 0 - -3 - u/1. What is the closest to d in -0.1, l, -1?
-1
Let t = -372 - -370. Which is the nearest to 0.1? (a) 0.3 (b) -13/2 (c) t
a
Let m = 19 - 21. Let k be (m/(-5))/((-16)/80). Let w be (1 + k - -2)/1. Which is the closest to w? (a) -2 (b) -0.2 (c) -1
b
Let b = -2 - -6. Let q = -4 - -48. Let o = 44.2 - q. What is the closest to o in -1, 1, b?
1
Let t = 0.1 + 0.1. Suppose -29*p = -32*p + 15. Let f = 0.1 + 0.9. What is the nearest to f in p, t, 1/2?
1/2
Let t(o) = o**2 + 20*o - 26. Let p be t(-21). Let v be ((-2)/2)/(3/p). Which is the nearest to -0.4? (a) 2/5 (b) v (c) -3
a
Let y = -957 + 956.9. Which is the closest to -0.2? (a) 3 (b) -5/6 (c) y
c
Let w = -0.3 - -0.4. Let h = -0.5 + -2.5. Let k = -0.21 + 0.01. Which is the closest to w? (a) k (b) h (c) 3
a
Let d = 7230 - 7235. Let m be (-2 - 1)*1/3. Which is the nearest to -1/2? (a) d (b) m (c) -0.5
c
Let z = 76/23 - 281/92. Which is the closest to 1? (a) 0.4 (b) z (c) -1
a
Let u = 2.9819 + 0.0181. What is the nearest to -2/3 in u, 20, 3/7?
3/7
Let z = -970/9 - -108. What is the nearest to -0.2 in -1, 2, z, 5/2?
z
Let q be (-6)/(-36) + (-150)/36. Which is the closest to 0? (a) 3 (b) q (c) 2/47
c
Let l be 1/5*0 + 0. What is the nearest to 1 in 3/2, l, 3?
3/2
Let f = 62 - 61. Suppose m + 0*m - 2*v = 26, -m - 4*v = -44. Let w be (-4)/(-6) - m/66. Which is the closest to w? (a) -2/19 (b) -1 (c) f
a
Let k = 96108/240295 - -2/48059. Suppose 0 = g - 4*g. Let d = 0.1 + 0.1. What is the nearest to g in k, 0.3, d?
d
Let s = 35 - 30. Let f be (s + (-4 - 0))*-1. Let u = 1 + -0.99. What is the nearest to 0.1 in f, u, -0.4?
u
Let d = 1/1357 + 2711/4071. Let i = 0.1 + -0.1. What is the nearest to i in -5, -0.4, d?
-0.4
Let p = 0.62 - 0.22. Suppose t = -0*t - 5. What is the closest to 0 i | {
"pile_set_name": "DM Mathematics"
} |
y**(-8)/y*y)*y*y)/y*y))/(y**(3/2)/(y*y**(2/19))))**16 assuming y is positive.
y**(-3464/19)
Simplify b**(2/57)*b**(2/33)*((b*b*b**(8/3)*b)/b*b*b)/b*b*(b*b**(1/4))/b assuming b is positive.
b**(17587/2508)
Simplify (r**(1/13))**(-13/4)*((r/(r**(-1/39)*r)*r)/r*r)/r**(-16) assuming r is positive.
r**(2617/156)
Simplify a**26*a/(a/a**(-1/20))*(a/(((a/(a/a**6))/a)/a))**32 assuming a is positive.
a**(-1401/20)
Simplify (x/(x/((x/x**(1/8))/x))*x*x**2)/(x**(-26)*x**(-11/3)) assuming x is positive.
x**(781/24)
Simplify ((z*z*z*((z/(z*z**(-2/23))*z*z)/z)/z*z)/z)**12/(z**(-9/8))**(-2/39) assuming z is positive.
z**(44235/1196)
Simplify (d/d**(-3/5))**(-1/71)/(d**(-1/9)/d*d**(-32)) assuming d is positive.
d**(105718/3195)
Simplify (f**(-13)*f/(f**(1/23)/f))/(f**(-4)*f)**(-29/2) assuming f is positive.
f**(-2509/46)
Simplify ((j/j**(-6/7))/j*j**(5/8)*j)/(j**(10/7)/j)**18 assuming j is positive.
j**(-293/56)
Simplify (h**43*h*h**(-36/11)*h)**(-28/9) assuming h is positive.
h**(-1428/11)
Simplify (i/(i**(3/5)*i*i))**(3/16)/(i*i**(-8)/i*i**(2/31)*i) assuming i is positive.
i**(2057/310)
Simplify ((s*s*s*s*s**(4/7))/(s/s**(-4/5)))/((s*s**(-17)/s)/s*s*s/s**(-18)) assuming s is positive.
s**(27/35)
Simplify ((s**(-3/13)/s*s)/((s/s**(2/5))/s)*(s**(-2/5)/s*s)/(s**8/s))**46 assuming s is positive.
s**(-4324/13)
Simplify (((c*c**(2/3)*c)/(c*c**(-1/7)*c))/(c*c**(-1/3)*c)**(19/5))**(-38) assuming c is positive.
c**(4408/21)
Simplify (((z/(z*z**(-10)/z))/z)/(z**(16/7)*z))/(z**(-16)/z**(-3)) assuming z is positive.
z**(138/7)
Simplify (k*k**(-3))**26*k**5*k/((k**12/k)/k*k) assuming k is positive.
k**(-57)
Simplify (p/(p**(2/5)*p))/p*p*p**11*p**(-8)*p*(p*p**11/p)/p assuming p is positive.
p**(68/5)
Simplify (q**(-3/4)*q*q**(-5)*q*q)/(q**(1/7)*q*q**5) assuming q is positive.
q**(-249/28)
Simplify ((z*z*z**(-5/6))**33)**37 assuming z is positive.
z**(2849/2)
Simplify (a**(-1/3))**(2/13)*(a/(a*a**(-5/2)))**(10/3) assuming a is positive.
a**(323/39)
Simplify (f/(f/(f*f*f/f**(7/4)*f))*(((f*f**(-3))/f*f)/f)/f)/(f**(2/15)/((f*f*f**(-11)/f*f)/f)) assuming f is positive.
f**(-713/60)
Simplify (((f*f**7*f)/(f*f**5))**(1/56))**(-28) assuming f is positive.
f**(-3/2)
Simplify (c/(c*c**(-20))*c**(-21))/(c**(-24)*c/c**3) assuming c is positive.
c**25
Simplify u**(5/3)*u*(u**(-2/9)/u*u)/u*(u**(4/3))**(-12) assuming u is positive.
u**(-131/9)
Simplify (s**2)**48/(s**11/s**(-6)) assuming s is positive.
s**79
Simplify (o**(1/2)/o)**(-1/39)/(o/o**(1/7))**11 assuming o is positive.
o**(-5141/546)
Simplify (k/(k*k**(2/13)/k)*(k**(10/3)*k)/k*k*k)**(4/5) assuming k is positive.
k**(964/195)
Simplify (s**(-3)/s)**(-6)/(s**(-7))**(-36) assuming s is positive.
s**(-228)
Simplify ((q/(q*((((q*(q*q*q**(-6/7)/q)/q)/q)/q)/q)/q)*q)/q**(-3))/((q/(q**(-23)/q))/q**(-6)) assuming q is positive.
q**(-162/7)
Simplify s**(2/5)*s*s*s*s*(s**20*s)/s*s**(-1/15)*s**(-27)*s assuming s is positive.
s**(-5/3)
Simplify ((z/(((((z*(z*z/(z*z/z**(-18))*z*z)/z*z*z)/z)/z)/z*z)/z))/(z**(2/27)*z))/((z*z*z**14*z*z*z)/z)**(2/7) assuming z is positive.
z**(2227/189)
Simplify (k*k*k/((k**15/k*k)/k)*(k/k**(2/7))/k)/(k**(-3/2)/k)**(-2/35) assuming k is positive.
k**(-80/7)
Simplify (((y*y**(-11))/y**(1/12))**(-7/5))**(-3) assuming y is positive.
y**(-847/20)
Simplify (f**(-3/4)/f)**(-1)/((f/f**3)/(f*f*f*f*f**(-14)/f*f*f)) assuming f is positive.
f**(-21/4)
Simplify (z/z**(-14)*z**12*z*z)/(z**(-5))**(-1/8) assuming z is positive.
z**(227/8)
Simplify ((l*l**(-2/19)*l)/l)/l**14*(l*l**(1/8)*l)/l*l**(-2/13)/l assuming l is positive.
l**(-25953/1976)
Simplify ((j/((j**(-4)*j)/j)*j/(j*j**(-3/7)*j*j))/(j**(1/2)*j)**(3/14))**(-12) assuming j is positive.
j**(-261/7)
Simplify ((l**33/l)/(l*l/(l*l**15)))**(-1) assuming l is positive.
l**(-46)
Simplify (n/(n**(-3)*n))**(2/7)/((n**(-2/5)*n)/n**(-6/11)) assuming n is positive.
n**(-111/385)
Simplify (((c/(c*(c**6*c)/c))/c*c*c)/c*c)**(-3/5)*(c*c**(2/9))**43 assuming c is positive.
c**(500/9)
Simplify (((z/z**28)/z)/(z*z/(z**(-43)/z)*z))**(-7/3) assuming z is positive.
z**175
Simplify (k/(k*k**(-1)*k)*k*k**(-12))**3 assuming k is positive.
k**(-33)
Simplify ((p/p**(-1/5)*p*p**(-11)*p)**(-18))**(5/2) assuming p is positive.
p**351
Simplify ((x/(x**11/x)*x)/x**(-12))/(x**(2/31)/x*x**(3/19)) assuming x is positive.
x**(2814/589)
Simplify (y*y**(2/3))**(-5/6)*y/((y*y**9)/y)*y*y*y**5/y assuming y is positive.
y**(-61/18)
Simplify ((r*((r**2*r*r)/r)/r)/r**(-1))/(r**(3/5)/r**(-2)) assuming r is positive.
r**(7/5)
Simplify ((z*z*z/z**(-1))**(13/2)*(z/(z*z**(2/5)*z))/z**(2/13))**(4/19) assuming z is positive.
z**(6356/1235)
Simplify ((w*w/(w**(2/3)/w*w))/(w/(w*w**25/w*w)))/((w*w/w**(-16)*w)/(w*w**(-1/8)*w*w)) assuming w is positive.
w**(245/24)
Simplify ((i*(i**(3/7)*i)/i*i**4)/((i/(i/(i*i**10)))/(i/((i*i/(((i*i**0)/i)/i))/i))))**45 assuming i is positive.
i**(-2070/7)
Simplify (l**(-3/10)/l**(-4/9)*(l**(-1/12)*l*l)/((l*l**(-7))/l))**36 assuming l is positive.
l**(1631/5)
Simplify ((x**(-1/6))**(-1/24))**(-19/3) assuming x is positive.
x**(-19/432)
Simplify f**(-4/13)/f*f**13/f*(f*f**(3/16))/f**7 assuming f is positive.
f**(1015/208)
Simplify (i**(12/11)/i**(6/5))**(1/3) assuming i is positive.
i**(-2/55)
Simplify ((j**3)**(-41)*j*j/(j**(-9)/j)*j*j**(-2))**(-2/115) assuming j is positive.
j**(224/115)
Simplify (d*d**(2/7)*d**(-3)*d*d*((d*(d*d*d**5*d*d)/d)/d)/d*d*d*d*d/d**(-1)*d*d)**20 assuming d is positive.
d**(2000/7)
Simplify x**(-3/11)/((x/(((x/(x**(5/2)*x))/x)/x))/x*x)*((x*x**(-15)/x)/x*x)/(x/(x/x**(1/12))) assuming x is positive.
x**(-2753/132)
Simplify (j**(1/8))**45*(j*j**(2/13))**(4/9) assuming j is positive.
j**(1915/312)
Simplify s/((s/s**(-18)*s)/s)*s**(-3/8)*s**13/s*s**(1/7) assuming s is positive.
s**(-349/56)
Simplify ((((d*d**(-5/2))/d)/d*d*d*d**(-11))**14)**32 assuming d is positive.
d**(-5600)
Simplify (w*w**(-2/3)*w*w**10)/(w/((w/(w**1*w))/w))**16 assuming w is positive.
w**(-110/3)
Simplify t**(-1/2)*(t**(-4/7)/t)/t*(t**(-5))**(2/15) assuming t is positive.
t**(-157/42)
Simplify (m*m**(2/29)*m*(m*m**(1/4))/m)/((m/m**(-1/13)*m)/((m/(m/(m/(m/m**13))))/m)) assuming m is positive.
m**(18461/1508)
Simplify ((q*q*q/q**9)/q**4)/(q**(3/2)*q**(-2/25)) assuming q is positive.
q**(-571/50)
Simplify (((o/o**(3/4))/o**(-1/2))/(o*o/((o*(o/(o*o**0))/o)/o)*o)**(1/5))**13 assuming o is positive.
o**(-13/20)
Simplify (o*o**7)**(3/7)*(o**15*o)/((o/(o**3*o))/o) assuming o is positive.
o**(164/7)
Simplify ((a**(-23)/a)**40)**(-1/19) assuming a is positive.
a**(960/19)
Simplify (b/((((b/(b*b/b**(-2/3)))/b)/b*b)/b))**(-2)/((b*b*b**(8/3))/b**(1/9)) assuming b is positive.
b**(-125/9)
Simplify (n/n**(-6/17)*n*n**(-10)/n*n)/(n/n**(4/7))**(-9) assuming n is positive.
n**(-451/119)
Simplify (k/k**(3/7))**(33/2)*k/(k/((k*k/k**(4/3)*k*k)/k))*k**(-1/6) assuming k is positive.
k**(153/14)
Simplify ((c/(c**0*c))/c**(-14))/(c**(-3/14)/c*c*c*c**9*c*c) assuming c is positive.
c**(31/14)
Simplify ((r/(r**(-2/23)*r))/(((r/(r*r**(-1)*r*r))/r*r*r)/r))/(r/((r**(1/16)*r)/r)*r**(-1)*r*r) assuming r is positive.
r**(-313/368)
Simplify (i/i**(4/7))**29/((i/(i/(i/(i**4*i))))/(i*i/((i*i**(6/11))/i)*i)) assuming i is positive.
i**(1454/77)
Simplify (((v**(-2/17))**(-1))**(-8/13))**36 assuming v is positive.
v**(-576/221)
Simplify ((((s*s**(-2/15))/s)/s)/s**(-6))/(s**(-5)/(s/(s*(s**(2/9)/s)/s*s*s))) assuming s is positive.
s**(434/45)
Simplify (a*a/(a/a**2))/(a**(2/13)*a)*(a**(4/9)*a)/a**(4/5) assuming a is positive.
a**(1457/585)
Simplify (p*p/((p/p**(-3/8))/p))**(7/4)*((p*p*p**5*p)/p)**36 assuming p is positive.
p**(8155/32)
Simplify ((d**(-1/2)/((((d*d**(-1/2))/d*d*d)/d)/d))/(d**(-2/5))**39)**(-1/8) assuming d is positive.
d**(-39/20)
Simplify c**3/c**7*c**5/c**4 assuming c is positive.
c**(-3)
Simplify l**22*l/((l/((l**(-16/7)*l)/l))/l)*l**(-8)*l*l*l**(8/3)*l assuming l is positive.
l**(386/21)
Simplify w/w**(-12)*w**(-6/23)*w**(-17)*w**(-15) assuming w is positive.
w**(-443/23)
Simplify ((w/w**(-2))/w**(5/4)*(w**(-2/7))**15)**44 assuming w is positive.
w**(-781/7)
Simplify (p/((p*p**2)/p))/p**(1/7)*p**(-1/4)/((p*(p*p*p**(-2/41)*p)/p)/p) assuming p is positive.
p**(-3839/1148)
Simplify (((x**(-7)/x)/x*x**(-5/2))**(6/11))**(-16/5) assuming x is positive.
x**(1104/55)
Simplify (z**(-3/14)/z**(-12))/(z/((z*z**(-2/9)/z*z)/z))** | {
"pile_set_name": "DM Mathematics"
} |
tive of z(l) wrt l.
-50640*l**3
Let k(h) be the third derivative of 3*h**7/10 - 7*h**5/20 + 251*h**4/2 + h**2 + 25*h + 3. What is the second derivative of k(i) wrt i?
756*i**2 - 42
Differentiate 1171 - 1800 - 1919 - 495 - 141 - 3464*k with respect to k.
-3464
Let y(b) = 3*b**2 - 24*b - 2. Let c(w) = w**2 - 8*w - 1. Let f(k) = -8*c(k) + 3*y(k). Let x be f(8). What is the derivative of -15*u - 5*u + x*u - 1 + u wrt u?
-17
Let z(k) be the third derivative of -10*k - 4*k**2 + 13/20*k**5 + 0 + 1/12*k**4 - 3/2*k**3. Find the second derivative of z(y) wrt y.
78
What is the second derivative of 311*l - 309*l + 3561*l**3 - 167 + 40 + 2*l**2 wrt l?
21366*l + 4
Let y(s) = -2*s**2 - 24*s - 7. Let t be y(-10). Find the first derivative of 96*f - 45*f - 2 + t - 31*f wrt f.
20
Let o(m) = 8514*m**3 - 2*m**2 - 19*m - 866. Let w(l) = -6811*l**3 + 2*l**2 + 15*l + 693. Let q(x) = -15*o(x) - 19*w(x). Find the third derivative of q(n) wrt n.
10194
Suppose -a = -5*s + 20, 0 = 4*a - 5*s + s. Find the third derivative of 2*k**a - 29*k**4 + 138*k**2 + 13*k**4 + 15*k**4 - 99*k**5 wrt k.
-5820*k**2 - 24*k
Let b(j) be the first derivative of 169 + 38*j**2 - 1/3*j**3 + 27*j. Differentiate b(s) wrt s.
-2*s + 76
Let s = -1 - 6. Let p(i) = 119*i**4 + 7*i**2 - 87*i. Let t(l) = 40*l**4 + 2*l**2 - 29*l. Let v(a) = s*t(a) + 2*p(a). Find the second derivative of v(j) wrt j.
-504*j**2
Let x be 192/36 - 1/3. What is the third derivative of -10 - 27*z**x - 2*z**5 + 7*z**2 - 7*z**2 + z**2 wrt z?
-1740*z**2
Suppose 3*v - 783 = -3*w, -2*w = 5*v - 904 - 413. What is the first derivative of -v*g + 12*g + 146*g + 60 wrt g?
-107
Let q(w) = -490*w**2 - 2302*w + 5. Let i(h) = 735*h**2 + 3454*h - 7. Let g(r) = -5*i(r) - 7*q(r). Find the second derivative of g(p) wrt p.
-490
Let q(s) be the second derivative of -589*s**6/30 - 489*s**2/2 - 135*s. Differentiate q(c) with respect to c.
-2356*c**3
Let s be (0 + 1)/((3 + -4)*-1). Suppose -5*h = c - 89, c - s + 2 = 0. What is the third derivative of -24*v**2 + 22*v**3 + h*v**2 - 19*v**3 wrt v?
18
Suppose -9*h + 130 = 112. Differentiate -18*v**2 - 40 - 15*v**h + 15 - 19 with respect to v.
-66*v
Suppose 5*h = -2*m + 10, -3*h + 4*h - 2 = 2*m. Suppose 0 = -2*w - h*w + 296. What is the first derivative of -2 - 100*o**3 + w*o**3 + 3 wrt o?
-78*o**2
Let y(u) = -5584*u**5 - 191*u**2 - 7*u - 8. Let d(p) = -22338*p**5 - 764*p**2 - 27*p - 36. Let r(j) = -2*d(j) + 9*y(j). Find the third derivative of r(v) wrt v.
-334800*v**2
Suppose -2*s - 7*s = -1782. Differentiate 320*x - 163*x - s - 101*x + 24 wrt x.
56
Let h(x) = 6*x**3 - 6974*x**2 - 3*x + 3348. Let j(r) = 4*r**3 - 4650*r**2 - 2*r + 2231. Let d(b) = 5*h(b) - 8*j(b). Find the second derivative of d(u) wrt u.
-12*u + 4660
Let a = 15 + -122. Let k = a + 114. Find the second derivative of k*n + 2*n + 575*n**5 - 548*n**5 wrt n.
540*n**3
Let i be (2/(-6))/(16/(-8352)). Find the first derivative of i + 43*f - 251 - 15*f wrt f.
28
What is the third derivative of -2 + 950*n**3 + 150688*n - 93*n**2 - 150688*n wrt n?
5700
Let c(r) = r**3 - r**2 + r - 2. Let t(d) = -51 - 80*d**3 + 6*d**2 + 12 + 51 - 34*d. Let f(z) = 6*c(z) + t(z). Find the second derivative of f(a) wrt a.
-444*a
Suppose 19*r - 36 = 59. Let t = 24 + -19. Find the second derivative of 8*x**t + 19*x**r - 10*x - 43*x**5 wrt x.
-320*x**3
Let w = 192 + -130. Differentiate 90 + w - 48*r - 8*r - 48 with respect to r.
-56
Let b(w) be the third derivative of -453*w**5/20 + 515*w**3/6 + 459*w**2. What is the derivative of b(r) wrt r?
-2718*r
Let m(z) be the first derivative of 0*z**6 + 0*z**2 + 0*z**4 + 30 + 0*z**5 + 92/7*z**7 + 0*z - 76/3*z**3. Find the third derivative of m(d) wrt d.
11040*d**3
Let s(j) be the second derivative of 10*j + 0*j**3 - 2 - 1/12*j**4 + 0*j**2 - 15/4*j**5. Find the third derivative of s(q) wrt q.
-450
Suppose -537*s = -520*s - 68. Let t(w) be the second derivative of 1/6*w**s + 0*w**3 + 6*w + 0 + 4/5*w**5 + 0*w**2. What is the third derivative of t(o) wrt o?
96
Let p(g) be the third derivative of -17*g**7/42 - 31*g**4/8 - g**3/2 - 234*g**2. What is the second derivative of p(s) wrt s?
-1020*s**2
Let q be ((-12)/(-33))/2 + (-174)/(-11). Suppose 2*u - q - 64 = 0. What is the second derivative of 14*t + u*t**5 + 38*t**5 - 60*t**5 wrt t?
360*t**3
Find the second derivative of 101*p + 155*p**2 - 12*p**2 + 97*p**2 + 123*p**2 + 4927*p wrt p.
726
Let y be 14/8*(-88)/(-77). Suppose -4*w = 4*h - 4, 2*w + 8*h = 3*h - 7. Find the third derivative of 66*a - 25*a**y + 16*a**w - 66*a wrt a.
384*a
Let l = 66 + -53. Let w(r) = l*r - 6*r - 6*r. Let t(f) = -12*f**2 - 28*f - 16. Let p(q) = 2*t(q) + 56*w(q). What is the first derivative of p(a) wrt a?
-48*a
Let i(z) be the second derivative of -64*z**7/3 + 311*z**4/12 - z**3/2 - 4*z - 250. What is the third derivative of i(n) wrt n?
-53760*n**2
Let s be (167 + -24)*(-1 - -2). What is the derivative of -71*p**2 - 41*p**4 - 72*p**2 + 48 + s*p**2 wrt p?
-164*p**3
Let c be (-6 - -8)/(-4*2/(-8)). What is the derivative of -365 - 71*o**2 - 35*o**c + 174 wrt o?
-212*o
Let n(o) = 6*o + 35 - 15 - o + o**2. Let q be n(7). What is the second derivative of 17*t - 13*t**2 - 104 + q wrt t?
-26
Let k(r) = 60*r**2 + 14*r + 1. Let s(p) = -90 - 2*p**2 + 89 + 37*p - 37*p. Let t(y) = -k(y) - 2*s(y). What is the second derivative of t(z) wrt z?
-112
Let v(p) = 42*p + 26. Let b(x) = -x + 2. Suppose -t - 6 = -8. Let z(k) = t*v(k) - 18*b(k). What is the derivative of z(u) wrt u?
102
Let c(h) be the third derivative of 23*h**4 - 129*h**3 - 11020*h**2. What is the derivative of c(x) wrt x?
552
Let c(r) be the second derivative of -r**7/21 + r**6/6 - 18*r**4 + r**3/2 + 1306*r. Find the third derivative of c(u) wrt u.
-120*u**2 + 120*u
Let v(z) be the second derivative of 1/2*z**3 + 0 + 116*z + 53/12*z**4 + 33/2*z**2. Find the second derivative of v(i) wrt i.
106
Suppose -5*q + 7*k - 8*k + 30 = 0, 5 = -3*q + 4*k. What is the third derivative of -8 - 33*o**6 + 15*o**6 + o**q - 11*o**2 + 18 - 8 wrt o?
-2160*o**3 + 60*o**2
Let z(j) = -5*j - j - 51*j**2 + 5*j + j**3 + 50*j**2. Let r(y) = -85*y**3 + 4*y**2 + 4*y - 23. Let w(v) = r(v) + 4*z(v). Differentiate w(f) with respect to f.
-243*f**2
Differentiate -68*c - 643 - 280*c + 1757 wrt c.
-348
Let c be (-5 - 5)/(10/(-4)). Find the third derivative of -4 - c + 185*j**2 - 1 + 9 + 5*j**3 - 2*j**6 wrt j.
-240*j**3 + 30
Let q(i) = -176*i - 1092. Let n(u) = 356*u + 2180. Let k(b) = -3*n(b) - 5*q(b). What is the first derivative of k(v) wrt v?
-188
Let m(j) be the third derivative of 5*j**9/252 - 69*j**6/20 + 3149*j**5/60 - j**3/3 - 3*j**2 + j + 161. What is the third derivative of m(o) wrt o?
1200*o**3 - 2484
Differentiate -5312 + 2824*c + 2826*c - 34*c**2 + 2814*c - 11294*c + 2815*c with respect to c.
-68*c - 15
Let c(n) be the first derivative of -862*n**3 - 988*n**2 + 1070. Find the second derivative of c(m) wrt m.
-5172
Let w(q) be the third derivative of -17*q**6/20 + 959*q**5/60 + q**2 - 132. Find the third derivative of w(r) wrt r.
-612
Find the third derivative of 1159*o**5 + 124*o**6 + 39*o**4 - 1285*o**2 - 1159*o**5 + o**4 - 117*o**6 wrt o.
840*o**3 + 960*o
What is the first derivative of 31985*c**3 + 1404 + 54 - 30163*c**3 wrt c?
5466*c**2
What is the second derivative of 9*z - 106*z**2 - 15368*z**3 - 110*z**2 + 9*z - 12 + 3*z**4 + 15368*z**3 wrt z?
36*z**2 - 432
Find the second derivative of 19*t + 160*t**3 - 615*t - 1368*t + 89*t**3 wrt t.
1494*t
Let a(m) be the second derivative of 0 + 0*m**3 + 1/3*m**4 - 1/5*m**5 + 71/2*m**2 + 87*m. What is the derivative of a(o) wrt o?
-12*o**2 + 8*o
Let i(z) be the first derivative of 18*z**3 - 23*z**5 - 13 + 5575*z - 5575*z + 2*z**5. Find the third derivative of i(h) wrt h.
-2520*h
Differentiate -5048 + 5802 - 49*v**2 + 613*v**2 wrt v.
1128*v
Let b(o) be the second derivative of -37*o + 49/2*o**2 - 1/30*o**6 + 1 + 0*o**4 + 1/6*o**3 + 0*o**5. Find the first derivative of b(h) wrt h.
-4*h**3 + 1
Let m(r) = 5*r**2 + 27*r. Let p = -42 + 64. Let u(l) = 25*l**2 + 136*l. Let y(t) = p*m(t) - 4*u(t). What is the second derivative of y(j) wrt j?
20
Let n(x) be the second derivative of 817*x**7/42 + 5*x**3/2 + 6*x**2 + 795*x - 1. What is the second derivative of n(d) wrt d?
16340*d**3
Let a(y) be the first derivative of -y**6/120 + y**5/120 + 13*y**4/ | {
"pile_set_name": "DM Mathematics"
} |
) = 2*w**3 + 2*w**2 - w - 1. Let l be (-12)/(-8) + 1/2. Suppose 3*j = 11 - l. Suppose j*v = -7 + 1. What is t(v)?
-7
Let d(l) = l**2 - 6*l + 6. Suppose 2 = o + 2*k, 4*k - 2*k = 2*o - 16. Suppose -2*u - o = -16. Suppose -u*a + 27 = -3. What is d(a)?
6
Let h(g) = g**2. Let p be h(0). Suppose 5*u + 4*j + p*j - 12 = 0, -3*u + 14 = -j. Suppose 4 = u*n + 16. Let s(z) = z + 2. Give s(n).
-1
Suppose 2*r = 7 + 5. Let g(a) = r*a - a**2 - 4 - a**2 + a**2. Give g(6).
-4
Suppose 7 = -3*k + 5*t - 8, 0 = 5*k - t + 47. Let n = -5 - k. Let r be (n/10)/((-2)/4). Let b(j) = j - 1. What is b(r)?
-2
Let d(v) = -v**2 - 11*v - 6. Suppose -18*t - 100 - 8 = 0. Calculate d(t).
24
Let a(s) = 8*s - 1. Suppose 0 = 12*m - 16*m + 140. Let j = m + -34. Determine a(j).
7
Let b(r) = 4*r + 14. Let u(s) = s + 3. Let h(c) = -10*c**3 - c**2 + 3*c - 2. Let v be h(1). Let y = -16 - v. Let m(k) = y*b(k) + 28*u(k). Give m(2).
8
Suppose l + 15 = 4*k, -2*l - 15 = -k + 2*l. Let m(x) be the first derivative of -3*x**2/2 + x + 7. Determine m(k).
-8
Let x(b) = b**3 + 0*b**2 - 17 - 11*b**2 + 0*b**2 + b**2 - 9*b. Give x(11).
5
Let o be (-15)/90 - 38/(-12). Let g(i) = i**o - 9*i**3 - i**3 - 1 - 3*i**3 - i + i**2. Give g(-1).
13
Let w(y) be the second derivative of -y**5/120 + 5*y**4/24 - y**3 + 11*y. Let t(q) be the second derivative of w(q). Calculate t(6).
-1
Let b = -103 - -151. Suppose -3*n + b = 9. Let v(l) = -175 + 174 - 11*l + n*l + 12*l. What is v(-1)?
-15
Let h(r) = -r + 35. Let j be h(33). Suppose 0*f - 40 = 3*f + 5*u, 0 = 2*f + j*u + 20. Let k(b) = -2*b - 4. Determine k(f).
6
Let u(d) = 18 - 27 + 10 + d. Let g be 2/11 + (-150)/(-22). Suppose 0 = -4*x - g + 31. What is u(x)?
7
Let z be -2 - 2 - (16 - 13). Let s(c) be the third derivative of c**6/120 + c**5/10 - 5*c**4/24 + 3*c**3/2 - c**2. Determine s(z).
-5
Let u(i) be the first derivative of -i**3/3 - 11*i**2/2 + 4*i - 658. Give u(-12).
-8
Let m = 42 - 40. Let g(f) = -f + 4*f - m - f. What is g(7)?
12
Let b(i) = i**3 - 7*i**2 - 6. Let c(v) = v**2 + 6*v + 1. Let l be c(-3). Let y be 2/6 - (-276)/(-18). Let x = l - y. Determine b(x).
-6
Let y(s) = -s**2 + 9 - 4 - s + 5*s - s. Let x be y(5). Let n(w) be the third derivative of w**4/24 + 4*w**3/3 - 4*w**2. Determine n(x).
3
Let p(o) = -o**3 - 6*o**2 - o - 6. Let n = 18 + -13. Suppose 3*f + k - 4 = n, f + 2*k = 3. Suppose -1 = f*r + 17. What is p(r)?
0
Let l(b) = 4*b - 9. Let p(a) = a**2 + 59*a + 4. Let z be p(0). What is l(z)?
7
Let o = -1921 + 1916. Let i(y) = -4*y - 13. Give i(o).
7
Suppose 29*d + 2*r - 2 = 31*d, -r + 4 = 0. Let n(j) = -j**2 + 5*j - 1. Determine n(d).
5
Let p(t) = -5*t**3 - 2*t + 1. Let k be p(1). Let l(r) be the first derivative of r**4/4 + 7*r**3/3 + r**2 - 6*r + 187. Give l(k).
18
Let q(w) = -3*w**3 - 2*w**2 - 3*w - 2. Let s(v) = -4*v**3 - 3*v**2 - 4*v - 3. Let l(j) = 5*q(j) - 4*s(j). Let o be l(0). Let x(m) = -4*m - 1. Calculate x(o).
-9
Let n(l) be the second derivative of -4*l**3/3 + 3*l - 11. What is n(-2)?
16
Let p(n) = -n + 3. Let q be p(0). Let u(g) = -14*g**3 + 6 - 18*g**3 - 5*g**2 + g + 31*g**q. Determine u(-5).
1
Let n(u) = 3*u + 1094 + u**3 - 1096 + 4*u**2 - 9*u. Determine n(-4).
22
Let x(k) be the first derivative of -3*k**2/2 - 2*k + 1. Let c = -62 + 67. Let b(y) = -7*y - 5. Let z(w) = c*x(w) - 2*b(w). Calculate z(0).
0
Let f(h) = -h + 13. Let q be f(7). Suppose -q = 5*s + 4. Let z(m) = -4*m**2 - m. What is z(s)?
-14
Let q(u) = -10*u**3 - 1. Let d be q(-1). Let s(b) = 5 + 2 + 3 - 15 + 5*b + 5*b - b**2. Calculate s(d).
4
Let n be (4 - 0)/(-3*4/6). Suppose 7*t = 3*t. Let o be t - (n + 4 - 3). Let s(a) = 4*a**2 - a. Calculate s(o).
3
Let h(o) = -23*o**3 + 7*o**2 - 5*o - 3. Let t(a) = 37*a**3 - 11*a**2 + 8*a + 4. Let w(i) = 8*h(i) + 5*t(i). Give w(2).
8
Let d(o) be the third derivative of o**5/60 + o**4/2 + 3*o**3/2 - 131*o**2 + 2. What is d(-8)?
-23
Let l(r) = r**2 - 11*r - 8. Let p be l(12). Let b be -6*(6/p - 3). Let c be 4 - (-3)/b*-3. Let x(y) = y**2 - 5*y + 3. Determine x(c).
-3
Let m be 4/(((-32)/12)/(-4)). Let i(x) = m - 11*x + 13*x - 2 - x**2. Suppose k - 6*n = -2*n + 15, 5*k - 21 = 2*n. Calculate i(k).
1
Let m(h) = h + 3 + 0*h + 7. Let c be 0/(-1)*(-1)/2*2. Determine m(c).
10
Let k(c) = 4*c**3 - 2*c**2 - 2*c - 1. Let v = 77 - 62. Let t(l) = -l**2 + 15*l - 1. Let q be t(v). Give k(q).
-5
Let n(l) = -4*l**3 - 3*l**2 - 3*l + 6. Let m(x) = -7*x**3 - 7*x**2 - 7*x + 12. Let w(b) = -3*m(b) + 5*n(b). Let h = -74 - -69. What is w(h)?
-11
Let z(r) = -3 - 1 + 3 + 3*r - 15*r. Let i(n) = n - 13. Let u be i(15). Suppose 2*f - 3 = -p + 6*p, -u*p = 5*f + 7. Give z(p).
11
Let h(k) = k - 14 + 3*k**2 - 7*k**2 + 3*k**2 + 7*k. What is h(5)?
1
Let j = -23 - -27. Let f be j*-1*(-4)/(-4). Let s(u) = u - 20. Let b(l) = 5. Let h(y) = 9*b(y) + 2*s(y). Give h(f).
-3
Let t(c) be the first derivative of -c**4/4 + 4*c**3 - 11*c**2 - 12*c + 623. What is t(10)?
-32
Suppose -1 = -3*i - 4*w - 20, -2*i - 10 = 2*w. Let b(r) = 18*r**3 + r**2. Calculate b(i).
-17
Suppose -3*n = 4*t - 9, 0 = t - 4 + 1. Let m(r) be the second derivative of r**4/6 + r**3/6 - 2*r. What is m(n)?
1
Let l(u) = u + 6. Let j be (18/(-15))/(152/50 + -3). Let b be ((-18)/30 + (-68)/j)*-3. Give l(b).
1
Let r(n) be the first derivative of -3*n**2 + 7/3*n**3 + n - 6 - 1/4*n**4. Determine r(6).
1
Let a(i) = i + 1. Suppose -43*p + 41*p = 14. Let o be (6 + p - 9) + 5 + -1. Give a(o).
-5
Let b(x) be the first derivative of -x**2/2 - x + 237. Let i = -10 + 7. Let k be -1 + i/(3/5). Give b(k).
5
Let l be ((-6)/(-4) + -1)*24. Suppose -p - p + l = 0. Let r(n) = 1340*n - 2717*n + 1378*n + 2. Determine r(p).
8
Let g(k) = k**3 - 2*k**2 - k + 2. Let j(t) = t**3 + 18*t**2 + 2*t + 38. Let i be j(-18). Suppose -2*a - 2*r = -4*r + 2, i*a - 5*r - 1 = 0. Calculate g(a).
-12
Let l(c) = -c**3 - 11*c**2 - 10*c + 4. Let g(n) = -2*n**2 - 44*n - 10. Let m be g(-22). What is l(m)?
4
Let w(k) be the third derivative of 10*k**2 + 0*k**5 + 11/6*k**3 + 0 + 0*k**4 + 1/120*k**6 + 0*k. Determine w(0).
11
Let o(i) be the third derivative of i**7/2520 - i**6/360 + i**5/120 - 13*i**4/24 - 5*i**2. Let f(p) be the second derivative of o(p). Calculate f(3).
4
Let v(n) = 2*n + 11. Let w be (-6)/(-99) + (-606)/198. Calculate v(w).
5
Let l(c) be the third derivative of -c**5/60 + c**4/6 + 2*c**3/3 + c**2. Suppose 3*m - 8*m + 221 = s, -4*m + 2*s + 188 = 0. Suppose 18 - m = -9*f. Give l(f).
7
Let y(i) = -13*i**2 - 27*i - 14. Let g(v) = -3*v**2 - 7*v - 3. Let x(o) = -9*g(o) + 2*y(o). Give x(-8).
-9
Let a(m) = -223 + m**2 + 115 + 106. Let r = 4 - 2. What is a(r)?
2
Let m(f) = f + 28. Suppose -18*o = -16*o. Determine m(o).
28
Let t(c) = 11*c**3 + 9*c**2 - 26*c + 14. Let q(l) = -5*l**3 - 5*l**2 + 13*l - 7. Let j(o) = -13*q(o) - 6*t(o). What is j(10)?
-23
Let k(j) = -j**2 - 4*j - 6. Let w(q) = 8*q + 19. Let y be w(-3). Calculate k(y).
-11
Let q(r) be the third derivative of -r**4/24 + 5*r**3/3 + 100*r**2. What is q(5)?
5
Let q = -15 - -11. Suppose -p + 3*r - 6 + 0 = 0, -5*p + 18 = r. Let k(x) = 15 - p + x - 9. Give k(q).
-1
Suppose f - p - 2 = -4*p, 0 = 3*f - p - 16. Let a(d) be the third derivative of 0 + 5/24*d**4 + 1/12*d**f - 1/120*d**6 + 4/3*d**3 + 0*d + 5*d**2. What is a(6)?
2
Let b(d) = -d**3 + 6*d**2 + d + 1. Let s = -27 + -32. Let j = s - -30. Let p = -23 - j. What is b(p)?
7
Let r(d) = -10*d - 9. Let i(u) = 9*u + 8. Let l(o) = -5*i(o) - 4*r(o). What is l(-3)?
11
Let c(u) = -u - 6 + 0*u + 4. Suppose 3*m = 3*z - 21, -5*m + 70 = -z + 85. Calculate c(m).
0
Suppose 3*a = -a. Let t = -129 - -124. Let f = a - t. Let w(n) = -n + 2. Calculate w(f).
-3
Let l(d) be the third derivative of -1/60*d**5 + d**2 + 0*d**4 + 13/6*d**3 + 0*d - 20 + 1/120*d**6. Give l(0).
13
Let j(p) = p**3 - 4*p**2 + 3*p - 2. Let w = 131 + -128. Give j(w).
-2
Suppose 63 = 11*g - 14. Let c(n) = -4*n + 14. Give c(g).
-14
Let p(n) = -7*n + 37. Let q be 9/2 - (289/(-34) - -6). Calculate p(q).
-12
Let d(c) = -7*c**3 - c**2 + c. Let x(l) = -15*l**3 - l**2 + 3*l + 1. Let z(y) = -13*d(y) + 6*x(y). What is z(-4)?
34
Let j = 739 - 747. Let v(o) = -o**3 - 7*o**2 + 2*o - 4. Calculate v(j).
44
Let i(a) = -a**3 + 7*a**2 - 5*a. Suppose -4*v - 5*d + 503 = 0, -3*v + 263 = -4*d - 153. Let o be 24/v + (-106)/(-22). What is i(o)?
25
Let b(h) = -7*h**3 - 1. Let a be -6 + 9 + -18 + 2. Let u = a + 15. Sup | {
"pile_set_name": "DM Mathematics"
} |
*v + 2*v + 3*v)*(5*v**2 - 2*v**2 - v**2 + (4*v + 0*v - 2*v)*(3*v + 2*v - 3*v) + 0*v + v**2 + 0*v).
14*v**3
Expand (3 - 2 - 2)*(-f + 1 - 1 + (-6*f - f + 4*f)*(2 + 0 - 3)).
-2*f
Expand (-4*o + 4*o - 2*o)*(-11*o - 4*o - 6*o).
42*o**2
Expand (n - n + 4*n)*(2*n**2 + 2*n**2 - 2*n**2)*(-2*n**2 + n - n).
-16*n**5
Expand -2*z + 6*z**2 + 1 + 5*z**2 - 5*z**2 + (-3*z + 4*z + z)*(2*z - 3 + 3) + 0*z**2 + 3*z**2 - 2*z**2 - 3*z**2 - 3*z**2 + 4*z**2 - z + z + 2*z**2.
11*z**2 - 2*z + 1
Expand (2*o - 3 + 3)*(-o - 2*o + 2*o) + (-3 + 6 - 2)*(0*o**2 - 4*o**2 + 2*o**2).
-4*o**2
Expand (0*d - 3*d + 4*d)*(-8*d**3 - 19*d**3 - 3*d**3)*(-1 + 1 + 3*d).
-90*d**5
Expand 0*y + 0*y - y + (-2*y + 3*y - 3*y)*(3 + 1 - 2) + 0*y + 4*y - y.
-2*y
Expand (5*g**3 - g**3 - 5*g**3)*((0*g + 4*g - 5*g)*(0 - 5 + 3) + 4*g - 2*g - g) + (3*g - 3*g + 3*g)*(g**3 - 6*g**3 + 4*g**3).
-6*g**4
Expand (3*z**3 - 2*z**3 + 0*z**3)*(4*z - 4*z + z**2).
z**5
Expand (-133*a + 113*a + 126*a)*(3 - 3 + a**3).
106*a**4
Expand -3*u**4 + 5*u**4 + u**4 + (3*u + u - 2*u)*(u**2 - u**2 - 2*u**3).
-u**4
Expand (0*f + 6*f - 4*f + (2*f + 0 + 0)*(1 + 1 - 1) + 2*f + f - f)*(0*f**2 - 2*f**2 + 3*f**2)*(f**2 - 1 + 1).
6*f**5
Expand ((1 + 0 - 2)*(-j**4 + j**2 - j**2) + 2*j**4 - j**4 + j**4 + j**4 - 3*j**4 + 4*j**4 + 2*j**4 + j**2 - j**2)*(j + 8*j - j).
56*j**5
Expand (35*j**3 - 119*j**2 + 241*j**2 - 122*j**2)*(3*j**2 - 4*j**2 - j**2).
-70*j**5
Expand -u**5 + 0 + 0 + (2*u**3 - 3*u**3 + 3*u**3)*(u**2 + 4 - 2 - 1).
u**5 + 2*u**3
Expand 1 - 1 - 3*t**5 + (2*t**5 - 4*t**5 + 3*t**5)*(2 - 2 - 2) + t**5 - t**5 + 3*t**5.
-2*t**5
Expand (5*x**2 + x**2 - 3*x**2)*(-2*x + x + 0*x + (4*x - x + 0*x)*(2 - 2 - 1)).
-12*x**3
Expand (-20*p - 6*p - 35*p)*(-6*p + 3*p + 2*p).
61*p**2
Expand (0 + 1 + 2)*(-r + 0*r + 3*r)*(-9*r + 9*r + 9*r**2).
54*r**3
Expand 5*c**2 - 4*c**2 + 0*c**3 + c**3 - 2*c**3 - c**3 + c**3 + (-11*c**3 + 6*c**3 - 6*c**3)*(-1 - 2 + 1) + c**3 + c**3 - c**3.
22*c**3 + c**2
Expand t - 2*t + 2*t + (0 - 3 + 4)*(2*t + 0*t - 4*t) + 3*t + 7*t - 3*t.
6*t
Expand (i**3 + i - 3*i + 0*i - i**2)*(5*i + 4 - 4).
5*i**4 - 5*i**3 - 10*i**2
Expand 4*h**3 - 2*h**3 - 4*h**3 + (2 - 2*h**3 - 2)*(1 - 4 + 4) + h - h - 3*h**3 + 26*h**3 + 17 - 17.
19*h**3
Expand (2*z - 4*z + z + (-2 + 0 + 3)*(-1 + 1 - 2*z))*(-1 + 1 + 1 + (-1 - 1 + 4)*(-3 - 3 + 1)).
27*z
Expand -1 + 6*g**4 + 1 + (2*g**2 - 2 + 2)*(-4*g**2 + 5*g**2 + 4*g**2).
16*g**4
Expand (7 + 3*i**2 - 7)*(i + 5*i - 4*i) + (-6*i**2 + 3*i**2 + 2*i**2)*(5*i - 4*i + 0*i)*(3 - 1 + 0).
4*i**3
Expand -5*u + u + 3*u + (6*u - u - 4*u)*(3 - 3 + 1) + 2*u + 5*u - 5*u + u - u - u.
u
Expand (-f - 2 + 2*f + 0*f)*(-1 + 21 - 3).
17*f - 34
Expand (-3*w**2 + 0*w**2 + 6*w**2)*(-2 + 1 + 3 + 8).
30*w**2
Expand (-4 + 0 + 3 - 1 + 0 + 3 + (-6 + 4 + 0)*(3 + 2 - 4))*(-3 + 1 + 5)*(4*o - 3*o + o).
-6*o
Expand k**4 - 2*k**4 + 2*k**4 + (-2*k**2 - 1 + 1)*(0*k + 5*k**2 + 0*k) + (-1 + 1 - k**4)*(-1 - 1 + 1).
-8*k**4
Expand (5*l**4 + 4*l**4 - 4*l**4)*(-2 + 1 - 1).
-10*l**4
Expand (-j**4 - 3*j + 3*j + (-23*j - 155 + 155)*(-4 + 4 - j**3))*(0 + j + 0).
22*j**5
Expand (-6*f + 0*f + 2*f + 0*f - 3*f + f + (2*f - 4*f + f)*(-1 + 1 - 1))*(-2 + 1 + 4)*(1 - 3 + 0)*(-4*f + 0*f + 3*f).
-30*f**2
Expand (2*w**4 - 8*w**4 + 2*w**4)*(-2*w + 0 + 0) + (1 - 1 + 2)*(6*w**5 + 0*w**5 - 4*w**5) - 1 + 1 - 2*w**5.
10*w**5
Expand -4*n**4 + 2*n**4 + 3*n**4 + (n**2 - 4*n**2 - 2*n**2)*(n**2 - n**2 + 2*n**2).
-9*n**4
Expand (5 + 2*r**2 - 5)*(-6 + 3 + 0) + (2 - 3*r - 2)*(-3*r - 2*r + 4*r).
-3*r**2
Expand (-5*q + 5*q + q)*(3 + 1 - 2)*(-5*q + 6*q + 3*q).
8*q**2
Expand (-n + n - n)*(1 - 1 - 2) - n + 3*n - n + n + n - 3*n - 15*n + 9*n + 8*n - 1.
4*n - 1
Expand (0*y**4 - 2*y**4 + 4*y**4)*(-1 + 4 - 5) - y**4 - 1 + 1 + 63*y**2 + 1 - 63*y**2 - 2*y**4.
-7*y**4 + 1
Expand (-7*u + 9*u + 4*u)*(-4 + 4 + 2*u).
12*u**2
Expand -2*x**4 + 3*x + 8 - 8 + (-4*x + 3*x + 4*x)*(-x**3 + 3*x**3 - 4*x**3) + x**4 + 2*x**4 - x**4.
-6*x**4 + 3*x
Expand (12*z - 7*z + 28*z)*(5*z**2 - z**2 - 5*z**2).
-33*z**3
Expand (-1 - 1 + 0)*(9*p**3 - 45*p + 46*p + 2*p**3).
-22*p**3 - 2*p
Expand (f + f - 3*f)*(4 - 4 + 3) + 0*f + 4*f - 2*f + (0*f - 2*f + 5*f)*(-2 - 8 - 1).
-34*f
Expand ((3*l - 5*l + 4*l)*(-1 + 0 + 3) + l + 2*l - 2*l + 0*l + 7*l + l)*(6*l - 3*l - 5*l).
-26*l**2
Expand (-j**3 + 0*j + 0*j)*(-j + 3*j - j)*(-18 - 1 + 6).
13*j**4
Expand (-3 + 3*c + 3)*(-1 + 1 - 2 + 0 - 1 + 3 + (-2 + 2 - 2)*(0 - 3 + 1) + 3 - 1 - 1).
15*c
Expand (w + 0*w - 3*w)*(-w + 2*w + 2*w) + 0*w**2 - 4*w**2 + w**2 + (-3 - 3 + 4)*(w**2 + 0*w + 0*w).
-11*w**2
Expand (3*k**2 + 0 + 0 + (4*k - k - 2*k)*(-4*k + 3*k - k) - k + k**2 + k)*(-3 + 4 - 2)*(11 - 5*k - 11).
10*k**3
Expand (-3*o**3 + 1 - 1)*(35*o - 12*o - 22*o).
-3*o**4
Expand (n**2 + 18*n + 3*n**4 - 18*n)*(-2 + 1 - 2).
-9*n**4 - 3*n**2
Expand l**3 + 0*l**3 + 0*l**3 - 5*l**3 + 0*l**3 + 0*l**3 + (4*l - 4*l + 2*l**2)*(l + 0*l - 2*l).
-6*l**3
Expand -4*n**3 + 0*n**2 + 0*n**2 + 3*n**3 - 3*n**3 + n**3 + (4*n**2 - n**2 - 4*n**2)*(-4*n + 3*n + 0*n).
-2*n**3
Expand (5 + 0 - 1)*(0*a + 0*a + 3*a).
12*a
Expand (-2*d + 4 - 4*d + 5*d)*(d**3 - 5*d**2 + 5*d**2).
-d**4 + 4*d**3
Expand 1 + w**2 - 5 - 2*w**2 + (-5*w + 5*w + 4*w)*(-4*w + 0*w + 3*w).
-5*w**2 - 4
Expand (-5 + 2 + 5)*(1 - 2*f - 1) - 3*f + 0*f + 0*f + (-2 - 1 + 4)*(f - f - f).
-8*f
Expand (-2 + 2 + d**2 - 3*d**2 + d**2 + d**2 + (d - 2*d + 3*d)*(5 - 5 - d) - d**2 + 2*d - 2*d - d**2 + 0*d**2 + 2*d**2)*(4*d**2 - 2*d**2 + 6*d**2).
-16*d**4
Expand (-13 - 68 + 18)*(s**2 + s**2 + 0*s**2).
-126*s**2
Expand (-3 + 1 - 1)*((-4 + 5 + 1)*(-2*u + 0*u + 3*u) + 0 + 0 + 12*u).
-42*u
Expand (-n - n - n)*(4*n - 4*n - n**2).
3*n**3
Expand (2 + 2 - 2)*(3*s**5 - s**5 + s - s**5 - 2).
2*s**5 + 2*s - 4
Expand 1 + 155*u - 154*u - 2*u**2 - 2 + (u**2 - 4*u**2 + 4*u**2)*(-3 - 3 + 5).
-3*u**2 + u - 1
Expand (292 - 292 + 45*o)*(0 + 4 - 3)*(-5 + 2 + 1).
-90*o
Expand (4*s - 3*s - 5*s)*(-4*s + 4*s + 2*s**2) + (s**3 - s**3 - 3*s**3)*(-3 + 1 + 3).
-11*s**3
Expand (2 + 2*k**2 - 1 + 2)*(2*k**2 + 5*k**2 - 6*k**2).
2*k**4 + 3*k**2
Expand (4 - 6 + 5)*(-3*o**3 + 3*o**3 + 2*o**4) - 2 + 2 + o**4.
7*o**4
Expand 2*v**3 + 0 + 0 + (2*v**3 - 4*v**3 + 3*v**3)*(4 - 1 - 1) - 22*v**3 + 17*v**3 + 19*v**3.
18*v**3
Expand (7*z**2 - 2*z**2 + 0*z**2)*(z - z - z**2).
-5*z**4
Expand (5126 + 81*h - 5126)*(-2*h**2 + 3 - 3).
-162*h**3
Expand -7*y**2 + 0*y + 0*y + (2*y - y + y)*(-2*y - 5*y + 5*y).
-11*y**2
Expand (-6 + 2 + 2)*(4*x + 13*x + 6*x).
-46*x
Expand (-y**3 + 0*y**3 + 2*y**3)*(2*y**2 + 0*y + 0*y + 3*y**2 + y**2 - 5*y**2 + (3 - 4 + 3)*(0*y**2 + 5*y**2 - 3*y**2) - y**2 - 1 + 1) + 2*y**5 - 3 + 3.
6*y**5
Expand (-2*b**2 + 4*b**2 - 4*b**2)*(-2*b - 4 + 4) + 1 - 2*b**3 - 1 - 6*b + 3*b**3 + 6*b.
5*b**3
Expand (-1 - 2 + 0)*(-4 + 2 - 1)*(-2*b**2 + 0*b**2 + 3*b**2).
9*b**2
Expand (1 - 1 - p)*(0 - 3 + 1 + (2 + 1 - 4)*(2 - 4 + 0) + 7 + 14 + 3).
-24*p
Expand (-1 - 2 + 1)*(-2 + 0 - 1)*(k + 0*k - 8*k).
-42*k
Expand -2*o**2 + 4*o**2 + o**2 + (-1 - 4 + 3)*(2*o**2 + 2*o**2 - 5*o**2).
5*o**2
Expand (189 - 177 + 0*t**2 - 2*t**2)*(1 + 1 - 3).
2*t**2 - 12
Expand (-q - 2*q**4 + q)*(-6 + 2 - 1)*(-q + 0 + 0).
-10*q**5
Expand (2*k**4 + 4*k**2 - 4*k**2)*(-6 + 0 + 2).
-8*k**4
Expand 4*d + d**5 - 4*d - 2*d**5 + 2*d**5 + 2*d**5 + (3*d - 2*d - 7*d)*(2*d**3 + 3*d**4 - 2*d**3).
-15*d**5
Expand (-5*x + 5*x - 5*x**3 + (-x**2 + 1 - 1)*(-2*x + 5*x - 4*x))*(-2 + 0 + 4).
-8*x**3
Expand (-1 + 0 + 3)*(-2*v + v**2 + 2*v) + 3*v**2 + 3*v**2 - 4*v**2 + 5*v**2 + 2 + 0*v**2 - 4*v**2.
5*v**2 + 2
Expand (-2 + 5 - 2)*(10*u - 8*u + 13*u).
15*u
Expand (-3*z - 2*z + 3*z)*(1 - 4*z - 1)*(0*z - z - z)*(2*z - 2*z + z).
-16*z**4
Expand (3*i - 2*i - 2*i)*((-4 + 3 + 2)*(-i + i + 3*i) + (0 - 1 - 1)*(0 + 0 - 2*i) - 2*i - 4*i + 4*i).
-5*i**2
Expand -4*t - 1 + 3*t + 5*t - 2*t + t + 4*t + (2 - 5 + 1)*(0*t + 5*t - 3*t).
3*t - 1
Expand (-2*k + 0*k + 4*k)*(0 + 4 - 2) + ((0 + 1 - 3)*(-k - 2*k + 4*k) + 2*k + 0*k + k)*(-2 - 2 + 5).
5*k
Expand (-6 + 0 + 3)*(2*v + 0 + 0) + (-v - v + 0*v)*(0 + 5 + 0).
-16*v
Expand (5*y - 5*y + 8*y + (-4 + 1 + 1)*(-3*y - 3*y + 5*y) - y - 8*y + 3*y)*(-3*y - y + 3*y).
-4*y**2
Expand -2*w**2 - w**2 + 2*w**2 + (-w + 2*w**2 + w)*(5 - 4 + 1).
3*w**2
Expand -2*h**3 + 0*h**3 + 4*h**3 + (-1 - 2*h**2 + 1)*(-2 - h + 2) - 5*h**3 + 5*h**3 + h**3 - 2 + 2*h**3 + 2 + (9*h**2 + 7*h**2 - 4*h**2)*(-2*h + 0*h - 3*h).
-53*h**3
Expand -s + s - s + (-1 + | {
"pile_set_name": "DM Mathematics"
} |
05. Let l(d) = -74*d - 1308. Let t(h) = -7*c(h) + 6*l(h). Differentiate t(w) wrt w.
116
Let t(m) be the third derivative of -16*m**7/7 - m**5/20 + m**4/24 - 51*m**3 - 675*m**2 - 2. What is the first derivative of t(s) wrt s?
-1920*s**3 - 6*s + 1
Let a(i) be the second derivative of -341*i**7/14 + i**4/12 - 795*i**2 - 2711*i. What is the third derivative of a(j) wrt j?
-61380*j**2
Suppose 6 = 3*m - l - 0, -5*l = -2*m + 4. Find the third derivative of 24*a**5 + 96*a**2 + 83*a**5 - 10*a**m + 0*a**2 wrt a.
6420*a**2
Suppose 0 = g - 32 + 1. Suppose -3*t - 5*s + g = 0, 0 = -t - 5*s + 2*s + 17. Find the third derivative of -2*w**2 + 403*w**3 - 35*w**t - 404*w**3 wrt w.
-6
What is the third derivative of -127*p**3 + 400*p**2 - 29*p**3 + 64*p**2 + 131*p**2 + 142*p**2 wrt p?
-936
Let c(t) = t**2 + 6*t + 20. Let h be c(-4). Suppose 14*u - h = 8*u. Find the first derivative of u*j + 4*j - 9*j + 20 - 14*j wrt j.
-17
Let o(s) be the second derivative of s**5/20 - 99*s**3/2 + 794*s**2 + 1559*s. Differentiate o(d) wrt d.
3*d**2 - 297
Let a(g) be the second derivative of 0*g**2 + 3/56*g**8 - 1/5*g**5 + 0*g**6 + 0*g**7 - 42*g - 15/4*g**4 + 0*g**3 + 0. Find the third derivative of a(z) wrt z.
360*z**3 - 24
Let b(o) be the first derivative of 9*o**4/4 - 7*o**3 - 3*o**2 - 44*o + 549. What is the second derivative of b(j) wrt j?
54*j - 42
What is the third derivative of 185*j**4 + 150*j**6 - 185*j**4 - 139*j**6 + 3025*j**2 + 25*j**3 wrt j?
1320*j**3 + 150
Let s(g) be the second derivative of 61/30*g**6 + 0 + 0*g**2 + 0*g**5 + 0*g**3 - 17/3*g**4 - 78*g. What is the third derivative of s(l) wrt l?
1464*l
Let a(s) = 2*s**4 + s**2 - 3*s + 7. Let p(x) = x**4 - 153*x**2 - 16*x - 2. Let z(v) = -2*a(v) - p(v). Find the second derivative of z(m) wrt m.
-60*m**2 + 302
Let i(v) = -30*v**2 + 1474*v - 16. Let o be i(49). Let r(m) = -m + 20. Let s be r(0). Find the second derivative of -o + 18*h + 180 + s*h**4 wrt h.
240*h**2
Let n be ((-77)/63 - -2) + 4/18. Suppose l = 2 + n. Find the second derivative of -35*z**l + 4*z**3 - z + 13*z**3 wrt z.
-108*z
Let v(k) be the second derivative of -307*k**6/30 - k**5/20 + 613*k**4/4 + 2217*k. Find the third derivative of v(w) wrt w.
-7368*w - 6
Let g(l) = l**2 - 16*l + 42. Let y be g(3). Find the second derivative of -14*w**3 + 106*w - 32*w**3 + w**2 + 44*w**y wrt w.
-12*w + 2
Let u(r) = -7196*r**3 - 26*r**2 - 9*r + 56. Let y(j) = j**3 - j - 12. Let p(k) = -u(k) - 5*y(k). Find the third derivative of p(q) wrt q.
43146
Let s(z) be the first derivative of -366*z**5/5 + 1974*z + 70. Find the first derivative of s(q) wrt q.
-1464*q**3
Let q = 2112 - 2108. Let v(m) be the third derivative of -2*m**3 + 5*m**2 + 0*m + 5/24*m**q + 0. Find the first derivative of v(i) wrt i.
5
What is the second derivative of 18*n**2 - 1067*n**4 + 1 + 46*n**2 - 2986*n + 1083*n**4 + 12*n**2 + 12*n**2 wrt n?
192*n**2 + 176
Let h = 17485 - 7044. What is the third derivative of h + 299*u**2 - 10441 + 60*u**3 wrt u?
360
Let n(c) = c**3 - 26*c**2 + 48*c + 41. Let p be n(24). What is the second derivative of 8*h**3 - 21*h**3 - p*h**2 - 76*h + 15*h**3 wrt h?
12*h - 82
Let g(n) = -6*n + 69. Let y be g(-36). Find the third derivative of -285*p**3 + y*p**3 + 1 + 73*p**2 + 0 + 32*p**5 wrt p.
1920*p**2
Suppose 4*s - 122 = t - 4*t, 2*s + 238 = 5*t. Differentiate -21 + 24*m**4 + 2 - t with respect to m.
96*m**3
Let a(f) = 6161*f**3 - 54*f + 138. Let h(s) = -6166*s**3 + 54*s - 148. Let r(p) = -7*a(p) - 6*h(p). What is the second derivative of r(t) wrt t?
-36786*t
What is the derivative of -2962 - 407 + 547*c + 802*c + 1925*c wrt c?
3274
Let r(f) be the third derivative of f**6/24 + 115*f**4/24 + 676*f**3/3 - 98*f**2. What is the first derivative of r(s) wrt s?
15*s**2 + 115
Let c(g) = g**2 + g. Let x be c(1). Find the first derivative of -75 + x*j + j + 43 wrt j.
3
Find the second derivative of 162*t**3 + 3*t**2 - 19*t**3 - 393*t + 1 - 211*t**3 - 146*t**3 wrt t.
-1284*t + 6
Let p(d) be the third derivative of 2677*d**6/120 - d**5/20 - 301*d**4/24 - 1779*d**2. Find the third derivative of p(g) wrt g.
16062
Let i = 88 - 77. What is the second derivative of 252 + 3*o**5 - 245 + i*o**4 - 5*o - 2*o**5 wrt o?
20*o**3 + 132*o**2
Let t(s) be the first derivative of -1318*s**5/5 - 768*s**2 + 425. Find the second derivative of t(d) wrt d.
-15816*d**2
Find the third derivative of -30318*k**4 + 30318*k**4 - 16*k**5 + 19*k**2 + 33 - 2*k**3 + 14 wrt k.
-960*k**2 - 12
What is the third derivative of 1258691*s + 3 - 1259191*s + 2*s**2 - 3 - 1306*s**3 wrt s?
-7836
What is the third derivative of 119*m**2 - 29*m - 1 + 79*m - 28*m - 25*m + 1646*m**6 wrt m?
197520*m**3
Let v(y) = -6*y + 7. Let b(g) = 4357*g + 2845. Let c(s) = -b(s) + 3*v(s). What is the derivative of c(z) wrt z?
-4375
Find the third derivative of 209*b**2 - 6*b - 479*b**3 + 15*b**2 - 71*b**2 - 1331*b**3 wrt b.
-10860
Find the third derivative of 0 + 75622*p**2 - 12*p**4 - 72967*p**2 + 0 + 8*p**3 wrt p.
-288*p + 48
Let i(j) = j**4 + j - 1. Let q(s) = 2*s**4 - 89*s**3 - 43*s**2 - 2*s + 2. Let y(p) = -2*i(p) - q(p). What is the third derivative of y(x) wrt x?
-96*x + 534
Let z(i) be the first derivative of -i**6/2 - 2*i**5/5 + 33*i**4/2 + 1625*i**2/2 - i - 778. Find the second derivative of z(h) wrt h.
-60*h**3 - 24*h**2 + 396*h
Let a = -315 + 297. Let z(j) = -5*j**3 + 39*j + 68. Let y(f) = f**3 - 10*f - 17. Let d(r) = a*y(r) - 4*z(r). Differentiate d(t) with respect to t.
6*t**2 + 24
What is the second derivative of 1743*r**2 + 26*r**4 - 870*r**2 - 871*r**2 + 4411*r - 34*r**3 + 1023*r wrt r?
312*r**2 - 204*r + 4
Let x = -2 + 14. Let d be (-8)/(-3) + 4/x. Find the third derivative of -4*g**2 + 2*g**6 - g**6 - 2*g**2 + d*g**2 wrt g.
120*g**3
Let q = 49 - 47. Suppose 0 = -q*o - u + 118, 2*u = -2*o + 7*u + 94. Find the second derivative of -7*d**4 + 57*d**3 + 9*d - o*d**3 wrt d.
-84*d**2
Let t = 7 - -11. Let k be (2/6 + 0/6)*t. Find the third derivative of -96*u**6 - 97*u**k + 3*u**2 + 8*u**2 + 183*u**6 wrt u.
-1200*u**3
Let x be (-2)/1 - 96/(-4)*12. What is the second derivative of -751*n + 127*n - x*n**2 + 362*n wrt n?
-572
Let b(o) be the first derivative of 0*o**2 - 13/12*o**4 + 12*o + 10 - o**3. Let m(j) be the first derivative of b(j). Find the second derivative of m(d) wrt d.
-26
Let x be ((-2)/30)/((-94)/235)*27/4. Let b(r) be the third derivative of 0 + 4*r**2 + 1/3*r**3 - x*r**4 + 0*r. Differentiate b(f) with respect to f.
-27
Differentiate 102*i**3 + 138*i**3 - 625*i**3 + 1416*i**3 + 2005*i**3 + 8555 wrt i.
9108*i**2
Let h(i) be the third derivative of i**7/105 + 271*i**6/15 - i**5/15 - 5*i**4/12 - 7*i**3/6 - 2*i**2 - i - 3218. Find the third derivative of h(z) wrt z.
48*z + 13008
Let l = 122 - 118. What is the first derivative of 545*q**l - 278 - 320*q**4 - 21*q**4 wrt q?
816*q**3
Let o(s) = -s**3 + 10*s**2 - 10*s + 13. Let v be o(9). Find the first derivative of -10 - 13*d**4 - 3 - 39*d**4 + 13*d**v wrt d.
-156*d**3
Let i(o) be the second derivative of -53*o**5/20 - o**4/12 - 641*o**3/3 - 1552*o. What is the second derivative of i(x) wrt x?
-318*x - 2
Let b be (-11 - -4)*2/(-2). Differentiate -110*s**3 - 233 - 6*s**2 - b*s**2 + 26*s**2 - 13*s**2 wrt s.
-330*s**2
Let z(v) = 69*v + 56. Let u = 79 - 68. Let f(s) = 208*s + 170. Let a(r) = u*z(r) - 4*f(r). Differentiate a(t) with respect to t.
-73
What is the second derivative of -441*f**5 + 867*f + 1160*f - 629*f**5 - 527*f**5 wrt f?
-31940*f**3
Let y(c) be the third derivative of c**9/252 + 2269*c**6/60 + 7*c**5/60 - 65*c**3 + 13061*c**2. Find the third derivative of y(x) wrt x.
240*x**3 + 27228
Let u(n) = 15*n - 86. Let l be u(7). What is the third derivative of 45 + 16*c**5 - 37 + 2*c**3 - c**2 - 18 - l wrt c?
960*c**2 + 12
Suppose -2*q - 19 = r - 23, 3*q - 2*r = 6. Suppose 6 = t + 2*t. What is the third derivative of -2*g**t - 4*g**5 - 9*g**5 + 4*g**5 + 4*g**q wrt g?
-540*g**2
What is the first derivative of 322 - 1011*m**4 + 1985 + 183 - 149*m**4 + 270 wrt m?
-4640*m**3
Let u(m) be the first derivative of -100*m**7/7 - m**4 + m**3 + 436*m + 658. Find the third derivative of u(x) wrt x.
-12000*x**3 - 24
Suppose 16*h - 8344 = -12*h. What is the third derivative of -674*l + 1327*l - 681*l - h*l**5 + 2*l**2 wrt l?
-17880*l**2
Let s(h) = 4217*h**2 - 8*h - 4844. Let x(g) = -1 | {
"pile_set_name": "DM Mathematics"
} |
allest value in 33/7, -97, -5, 2.2, -0.8?
-5
Which is the second biggest value? (a) 0.1044 (b) -0.2 (c) 5 (d) 0.3 (e) 29
c
What is the smallest value in -8/5, 53, -236?
-236
What is the fifth smallest value in 3, -1, -2, 1/249, -6, -1/4?
1/249
Which is the second biggest value? (a) 0.0989 (b) 81 (c) -2/179
a
Which is the smallest value? (a) -4 (b) -1474 (c) 67.1
b
Which is the biggest value? (a) 1 (b) -4 (c) -1439 (d) 2
d
What is the seventh smallest value in -1/35, 14, 1, -130, -2, 0, -1?
14
What is the second smallest value in -3, 3, -2/25, -4, 95, 144, -5?
-4
Which is the fifth biggest value? (a) -0.5 (b) -1/4 (c) 4 (d) -0.2 (e) -2/23 (f) 0.7
b
Which is the biggest value? (a) -2/13 (b) -104632/23 (c) 0.2
c
Which is the smallest value? (a) 3 (b) 4/9 (c) -2/799 (d) -12 (e) 4 (f) -0.5
d
Which is the smallest value? (a) -3201 (b) 5 (c) 1 (d) 4 (e) -1/64 (f) -35
a
What is the fourth biggest value in -3, -1, 0.4, 2926, -8, 2, -0.07?
-0.07
What is the third biggest value in 4, 0.3, -3/2, 2, 119, -2/15, 0.4?
2
Which is the fifth smallest value? (a) -5 (b) -0.12 (c) -76 (d) 0.6 (e) 0.33 (f) -3/5 (g) 4
e
Which is the second biggest value? (a) 251/1667 (b) 1 (c) 14
b
What is the third biggest value in -0.09, -3101, -3, -9/7, -1/4?
-9/7
Which is the sixth biggest value? (a) -0.3 (b) 2/9 (c) -108/11 (d) 3 (e) -2/63 (f) -4
c
Which is the fourth smallest value? (a) 3 (b) -344 (c) -0.029 (d) 422
d
What is the third biggest value in 2/9, -0.5, -0.4, -0.1, -3/68, 90, -4?
-3/68
Which is the smallest value? (a) -2/11 (b) 2 (c) -3 (d) -10 (e) 1001 (f) 1 (g) -2
d
What is the fourth biggest value in 12, -2/9, -0.5421, -2/3, 1/2?
-0.5421
What is the fifth smallest value in 0.05, -0.6, -4, -8, -2, 3/40, 14?
0.05
Which is the fifth smallest value? (a) -4 (b) 3 (c) 1 (d) -4/5 (e) 2 (f) 0.2 (g) 13/6
e
What is the seventh smallest value in -0.2, 2, 0.4, 20, 5, -17.8, -7?
20
What is the second biggest value in 117848332, -4/5, -1, 4?
4
Which is the second biggest value? (a) -3 (b) 3 (c) -0.24 (d) 346
b
Which is the fifth smallest value? (a) 0 (b) 40414 (c) 2/311 (d) 4 (e) 4/7
b
Which is the third biggest value? (a) 5 (b) -0.138 (c) 4 (d) 2088.5 (e) 6/7
c
Which is the fourth biggest value? (a) 14/11 (b) 5 (c) -55.7 (d) 16/19
c
Which is the second biggest value? (a) 4 (b) 0.66593 (c) 2.4 (d) 4/7
c
Which is the third biggest value? (a) -2/187 (b) 5573 (c) 4/7 (d) 2/5
d
What is the smallest value in 3, 0.8, -2/37, 10/9, 1.1, -1/2?
-1/2
Which is the fourth smallest value? (a) 2 (b) 2/9 (c) -2716 (d) -0.5 (e) 1/9 (f) 0.1 (g) 2/7
e
What is the third smallest value in -4/3, -1, 1/8, -1.1, -18, -50, 1?
-4/3
What is the third smallest value in -70, 0.14736, 0, -0.02, 0.2?
0
Which is the fourth biggest value? (a) 5144 (b) 0.3 (c) 7689 (d) 5/6
b
Which is the fourth biggest value? (a) 6.8 (b) 3 (c) 8 (d) 4 (e) -71
b
Which is the sixth smallest value? (a) -5 (b) -0.5 (c) 0.29 (d) -0.2 (e) 0.0858 (f) 0.8
f
What is the smallest value in 0.7, -2/2591, -66, 3, -5?
-66
Which is the third smallest value? (a) 0.377 (b) -115.3 (c) 2/5 (d) -5 (e) -0.5
e
What is the fifth biggest value in 1/7, -2, 1/3943, -7, 2?
-7
What is the biggest value in 4, -0.27, 1839/115, 1/2?
1839/115
What is the fourth smallest value in 1.7, -2/1211, -15, -5.1?
1.7
Which is the third biggest value? (a) 305/6 (b) 11/2 (c) 3.4
c
What is the second biggest value in -3, -9, 3/4, -10.8204, 1/3?
1/3
Which is the second biggest value? (a) 4/5 (b) -33 (c) -0.5 (d) -13/75 (e) -4/3
d
What is the fifth smallest value in 0.2, 6, 2, -2/9, 4587, 15, 4?
6
Which is the biggest value? (a) 3.5 (b) -3 (c) -1 (d) -11.1 (e) 3/8 (f) 3/5
a
Which is the seventh biggest value? (a) -13 (b) -2/3 (c) 4/1173 (d) -0.5 (e) 2 (f) -1/9 (g) 2/9
a
What is the second smallest value in 1, 3/59, 0, 6/11, -0.2, 3, -164?
-0.2
What is the biggest value in -4, -2, 59, 1889.5?
1889.5
What is the fifth biggest value in 31, 36/5, -2/11, -3/14, 2/15?
-3/14
What is the fifth biggest value in 3696, 3, 1/6, -2, -24.98?
-24.98
Which is the sixth smallest value? (a) -2 (b) 5 (c) 0.3 (d) 9 (e) 1256 (f) 0 (g) -1/7
d
Which is the third biggest value? (a) -2/7 (b) -556 (c) 4/5 (d) -1 (e) 3/89
a
Which is the fifth biggest value? (a) 1211.5 (b) -5 (c) 5 (d) -54 (e) 2/9
d
Which is the second smallest value? (a) -57 (b) -157388 (c) -1
a
What is the seventh biggest value in 0.1, -1, 4, -0.04, 1/165, -5, -4?
-5
Which is the fourth biggest value? (a) 1/5 (b) 520 (c) 71 (d) 36/11
a
What is the third biggest value in -3/2, 0.105, 4, -0.2, -102, -5, -4?
-0.2
What is the fourth smallest value in 14, 1/10, 83, -24, 137, -1, 0?
1/10
What is the third smallest value in 1, 2/5, 0, -338666?
2/5
What is the third biggest value in 93, -3/7, -108, -2.8?
-2.8
What is the second biggest value in -393.3, -6, 9, -1/3, 0.3, 2?
2
What is the third smallest value in -19/2, 756, -597?
756
What is the second smallest value in 0.33517, -3/137, 6?
0.33517
What is the second smallest value in 4/3, 1.7, -2796, -1010?
-1010
What is the third biggest value in 0.3, 0.4, -364904, -5, -1, 1?
0.3
Which is the fourth smallest value? (a) 0 (b) -1/8 (c) 3 (d) -5 (e) -4757
a
Which is the third biggest value? (a) -9/11 (b) 58 (c) -380
c
Which is the fifth biggest value? (a) -21 (b) -3.1 (c) -5 (d) -2/13 (e) -3
a
What is the third smallest value in 2/7, 1/10, 2, -0.4, -18, 0.13?
1/10
Which is the third biggest value? (a) -1/6 (b) 43671 (c) 4/5
a
Which is the fourth smallest value? (a) -6 (b) -5/2 (c) -2 (d) 1/2579 (e) 24
d
Which is the second biggest value? (a) 1221 (b) -2 (c) 285 (d) 5
c
Which is the second biggest value? (a) 0.4 (b) 0.88352739 (c) -5
a
What is the fourth smallest value in -2/3, 8, 5/4, 10/3, 3?
10/3
What is the fourth smallest value in -2, -0.3, 4/7, 728, -22?
4/7
What is the fifth smallest value in 22/7, -1/42, -46, -5/32, -1/5, 1?
1
What is the second biggest value in 7/2, 4381, -2, 17?
17
What is the third smallest value in -0.006, 36, 12, 11, 0, 17?
11
Which is the second biggest value? (a) 2864.8 (b) 0.11 (c) -20
b
Which is the fifth biggest value? (a) 0.04 (b) 17 (c) 0.85 (d) -9 (e) 5
d
What is the fifth smallest value in -0.2, 0.06, 5/3, -1/495, -0.3, -9, 58?
0.06
Which is the second smallest value? (a) 0.5 (b) 1/3 (c) 14 (d) -4 (e) -0.71 (f) -80
d
What is the second biggest value in 5.8, -1, 3196, 30?
30
What is the third smallest value in 0.03, -2/17, 0.034, -1.4, -0.8?
-2/17
What is the biggest value in -5, -341, -0.069128?
-0.069128
Which is the second smallest value? (a) 0.29 (b) 2 (c) 2.1 (d) 7 (e) -1.8 (f) -3
e
Which is the biggest value? (a) -4/18725 (b) -4/7 (c) 4 (d) 8 (e) 0 (f) -0.5 (g) -4
d
What is the third smallest value in 0, -1336958/9, -2/15, -2?
-2/15
What is the seventh biggest value in -0.346, 2/5, -8, -0.3, 3, 2/29, 2/7?
-8
Which is the biggest value? (a) -3 (b) 3/7 (c) 103/248
b
Which is the third biggest value? (a) -136 (b) -0.4 (c) -0.1 (d) 0.2 (e) -4.456
b
Which is the fourth biggest value? (a) -0.3 (b) 3 (c) 146 (d) -1 (e) -10 (f) -2 (g) 1/359
a
What is the fourth smallest value in 0.4, 3, 667, 2/11, -667?
3
Which is the fifth biggest value? (a) 1/2 (b) 5/6 (c) 4 (d) -2 (e) 64 (f) 2/9 (g) 200
a
Which is the biggest value? (a) 2/7 (b) 3 (c) -4.23 (d) -9 (e) 1/5
b
What is the fifth biggest value in 2/15, 0.3, -4/6849, 5, 0?
-4/6849
Which is the second biggest value? (a) -59186 (b) 4 (c) -2/19
c
Which is the fourth smallest value? (a) 0.28 (b) 19 (c) -3/8 (d) 6/7 (e) 3
e
Which is the third smallest value? (a) -402 (b) -80 (c) 67
c
What is the second biggest value in -1/4203, 1/9, 4, 0.812?
0.812
Which is the second smallest value? (a) 62 (b) 11/4 (c) -2/21 (d) -0.19 (e) 3/2 (f) 1/2
c
Which is the biggest value? (a) 88/19 (b) -3 (c) 5 (d) 0.2
c
Which is the second biggest value? (a) 1/2 (b) 0.3 (c) 1/95 (d) 0.2729 (e) -0.4
b
What is the second smallest value in -49, 3, 10/4891, -0.1?
-0.1
Which is the third smallest value? (a) 10 (b) -6 (c) 6/25 (d) -471
c
What is the fifth smallest valu | {
"pile_set_name": "DM Mathematics"
} |
32
Let o = 2 - 4. Suppose p + 2*p + 9 = 0. Which is the third smallest value? (a) p (b) o (c) 0.1
c
Let t = -0.47 + -0.03. Which is the third smallest value? (a) 0 (b) -5 (c) -10 (d) t
d
Let k = 2382/17 - 140. Which is the fourth smallest value? (a) k (b) 1 (c) -1/3 (d) 2/9
b
Let b = -1314 - -1404. What is the biggest value in b, 5, -0.3?
b
Let n = 4182.2 - 4182. Let t = 0.06 - -0.07. Which is the third biggest value? (a) t (b) 1/3 (c) n
a
Let i = 424.93 - 425. Which is the second biggest value? (a) -0.1 (b) -2/9 (c) i (d) 3/2
c
Let d = 2737/8 + -337. Let g = d + -229/40. Which is the second smallest value? (a) g (b) 3 (c) 0.3
c
Let u be (2 - 44/24) + (-119)/306. Let t = 0 + -0.1. Let c = -0.09 + 0.59. What is the biggest value in u, c, t?
c
Let a(i) = -2*i**3 + 8*i**2 - 5*i + 18. Let m be a(4). Suppose 2*g = -u + 5*g + 2, 3*u = -g - 14. What is the fourth smallest value in m, u, 2/5, 2?
2
Let g = 0.7 + -0.3. Let p = -44 + 46.1. Let y = p + -2. Which is the smallest value? (a) -0.2 (b) y (c) g
a
Let l = -0.1442 + 0.0842. Which is the second biggest value? (a) 5/3 (b) l (c) -3 (d) 3
a
Let u = -843.38 + 844. Which is the biggest value? (a) 2/3 (b) 1/5 (c) -5 (d) u
a
Suppose 0 = -7*a + 2*a - 35. Let j be ((-3)/(-5))/(2/(-5)). What is the smallest value in j, 2, a?
a
Suppose -107*i + 108*i = 3. What is the third smallest value in -1/5, 2/19, i, 6?
i
Let t = 0.5 + 9. Let p = t + -10. Which is the second biggest value? (a) -0.2 (b) -2 (c) p
c
Let z = 38.1 - 54.1. What is the smallest value in 0.5, z, 3, -1/2?
z
Let u(t) = -t**2 - 2*t + 4. Let d be u(0). Suppose 2*w - d*n = -w - 12, 2*w + 9 = 3*n. Which is the smallest value? (a) -3 (b) -4 (c) w
b
Suppose -4*j = 2*y + 4, 3*j + 29 = 2*y + 3*y. Suppose 20*n = 24*n + 16. Which is the second biggest value? (a) n (b) -3/11 (c) y
b
Let q = 86/153 - 4/9. What is the smallest value in q, -3, 1/7, 3?
-3
Let d = -216/5 - -43. Which is the second smallest value? (a) d (b) 20 (c) 5
c
Let p = -5.7 - 0.4. Let k = p - -5.6. Let s = 1 + -0.8. Which is the second biggest value? (a) 1/8 (b) k (c) s
a
Let z = 4.9286 + 0.0714. Which is the third biggest value? (a) 3 (b) -2/15 (c) 0.038 (d) z
c
Let o = 0.16 + -1.06. Let p = o - -0.4. Let t be ((-8)/10)/(-6 + 4). Which is the smallest value? (a) t (b) -1/4 (c) p
c
Let s(o) = -o**2 - o + 2. Let c be s(-3). Let t be (-2)/(-6) - (4 + c). Let y = -4 + 6. What is the third smallest value in t, y, 4?
4
Let i(t) = t - 15. Let m = 7 + -7. Suppose -13*j + 8*j + 50 = m. Let c be i(j). What is the third smallest value in -4/7, c, -4?
-4/7
Let o = 440.18 - 432. Let y = 0.18 - o. Let j = y - -8.1. What is the third biggest value in j, -0.2, 0.2?
-0.2
Let m = 74 + -47. Let s = m - 27.8. Let l = 0.9 + s. What is the second smallest value in -5, l, 1?
l
Let s = -0.094 + 8.094. Let o = s + -8. What is the second smallest value in o, 3, -0.2?
o
Let p = 169 - 105. Let n = -4363 - -22138/5. Let g = n - p. What is the second biggest value in g, 0.02, 0.4?
0.4
Let u = -4420 - -97265/22. Let n = u + 4/11. Which is the biggest value? (a) 1/2 (b) -1/6 (c) n (d) 2
d
Suppose -5*s + 3*z = -2*z, 4*s + 4*z + 8 = 0. Let h be 24/20 - (5/25 + (-45)/(-25)). What is the fourth biggest value in -7, 3, h, s?
-7
Let o be 1 - (-1 - 0)/1. Let x = 4 - o. Suppose -u + x = -2*u. What is the third smallest value in 2, u, 0.1?
2
Let g = 6 - 7. Suppose 0 = -2*f + 10, 6*l = 3*l + 5*f - 13. Which is the second smallest value? (a) l (b) g (c) -4
b
Let s = -295.5 + 295. What is the biggest value in 3, -0.1, s, -5?
3
Let f = -2.3 + -0.7. Let k be 6/(-2)*2547/(-126). Let u = k - 121/2. Which is the biggest value? (a) u (b) f (c) 4
c
Let y be (-1075)/(-375) - 2/(-15). Let z = -10 - -6. Which is the second biggest value? (a) y (b) 2 (c) z
b
Let z = -4933/4 + 1233. Let j = -619/4 - -154. What is the second smallest value in j, z, 0.4?
z
Let h = 762.97 + -763. Which is the biggest value? (a) -0.05 (b) -4 (c) h
c
Let c = -701/3 + 233. What is the second biggest value in 0.2, 2/11, c?
2/11
Let l = 0.5 - -8.5. Let v = -59 - -48. Let r = v + l. Which is the second biggest value? (a) 0 (b) 2/21 (c) r
a
Let w = -690 - -694. What is the biggest value in -3, w, -12?
w
Let f = -1 + 1.2. Let g = 0.2 - f. Suppose 204*i - 199*i = -20. Which is the smallest value? (a) g (b) i (c) 5
b
Let v be 495/(-12) + -4 - 0. Let z = 45 + v. Let o = 6 - 6. What is the third smallest value in z, -0.1, o?
o
Let z = -1/1513 - -1515/3026. What is the third biggest value in -6, z, 21?
-6
Let x = -269 + 1073/4. What is the third biggest value in -4/3, 2/3, x, -17?
-4/3
Let y = 84.3 + -88. Let c = 4 + y. Let m = -0.1 + c. What is the smallest value in m, -2/21, -2?
-2
Let j(b) = -b**3 - 2*b**2 + 11*b + 9. Let h be j(3). Let y = 1 + 0. Let a be (-4)/2 + (-2)/y. What is the third biggest value in 0, a, h?
a
Let x = -3/34 + 10/17. Which is the second biggest value? (a) -3 (b) 2 (c) x
c
Let k = -775 - -774.5. Which is the fourth smallest value? (a) k (b) 4 (c) -1.6 (d) -1
b
Let u be (-7 - 32/(-4))/(2 + -14). Which is the smallest value? (a) u (b) 8 (c) 0.3 (d) -0.3
d
Let t be (-1)/5*(186 - 191). What is the second biggest value in 2/15, 1.9, t?
t
Let j = -2.29 - 0.26. Let n = -2.5 - j. Which is the second smallest value? (a) 0.3 (b) 2/5 (c) n
a
Let l = -8 - -9. Let w = -0.7 + l. Let m be 4/(-14) + (-63)/(-49). Which is the second biggest value? (a) m (b) w (c) 0.4
c
Let w = -2575 + 2572. Which is the third smallest value? (a) 2 (b) w (c) 0.02
a
Let l be 6/(-21) - 76/(-168). Let d = 0.8 - -0.2. Which is the smallest value? (a) l (b) d (c) -0.09
c
Let g = -6 - -8. Let j(s) = s**g - 2*s**2 + 0 - 1 - 2*s. Let f be j(-1). Which is the third biggest value? (a) 3/2 (b) -2 (c) f
b
Let v = 0.363 - 0.163. Which is the third biggest value? (a) 9 (b) -0.1 (c) v (d) -4
b
Let l be (6/(-26))/(147/(-98)). Which is the second biggest value? (a) -2 (b) l (c) 0.5 (d) -50
b
Let i = 2.1 + -2. Let r = 13.86 + -14. Let g = r + -0.16. Which is the second smallest value? (a) 10 (b) g (c) i
c
Let h = -0.05 + 5.05. Let s = 249 + -247. What is the second smallest value in h, -4, s?
s
Let v(x) = -5*x - 33. Let y be v(-3). Let q be ((-2)/y*-3)/(-1). Which is the second smallest value? (a) 3/4 (b) q (c) 2/15 (d) 0.05
c
Let j = -11/23 + -163/92. Let s = 23/12 + j. Which is the third biggest value? (a) -1.2 (b) 2 (c) s
a
Let p = 9.82 + -11.12. What is the biggest value in 6, p, -3, -4?
6
Let j = -0.487 + 0.457. What is the third smallest value in -0.35, 0.5, j?
0.5
Let h = -3.9363 + -0.0637. Which is the biggest value? (a) 1 (b) -3 (c) h (d) 2
d
Let m(o) = o**3 + 2*o**2 - 7*o - 1. Let p be m(4). Let j = p - 269/4. Which is the biggest value? (a) 4 (b) 1 (c) 2/3 (d) j
a
Let t = -264/35 + 50/7. Let o = -1 + 6. Which is the biggest value? (a) t (b) o (c) 2/13
b
Suppose 3*i - i = 2*g + 20, 0 = 6*g + 18. What is the second smallest value in -1, -3, 0.07, i?
-1
Let r be (-5)/(-25)*5 - -4. Suppose -2*t + 0*t = -6. Suppose t = r*q - 2. Which is the smallest value? (a) 3/5 (b) q (c) -3
c
Let w be -4 - (15 + 0)/(-5). Let f = -1 + 3. Let t be f - (2 - 4 - -6). Which is the smallest value? (a) t (b) 1 (c) w
a
Let m be (-4)/((-6 + 4)/2). Let c be (-20)/(-8) + 6/(-12). What is the second smallest value in c, -2/3, m?
c
Let r = -0.2 + 3.2. Let s = 3065 - 3065.5. Which is the third smallest value? (a) s (b) 0.4 (c) 2 (d) r
c
Let j = 0.476 + -1.476. What is the third smallest value in j, 11/4, 6/5?
11/4
Let w = -58 + 57.74. What is the third smallest value in w, 4, 2?
4
Let x = 1.7 - -1.3. Let o = 13 - 13. Let g = 0.09 + o. Which is the third smallest value? (a) -4 (b) x (c) g
b
Let o be (22/594)/(8/(-48)). Let w be (-1 + -2)*2/4. Which is the second biggest value? (a) w (b) 0.3 (c) 0.06 (d) o
c
Let n = -4 - -10. Let h be -1 + 45/12 + -2. Let j = -11.7 + 11.2. Which is the second biggest value? (a) j (b) n (c) h
c
Let h(k) = -14*k + 1. Let m be h(-1). Let i be (-2)/10 - (-9)/m. Let v = -100 - -98. Which is the biggest value? (a) v (b) i (c) -0.4
b
Let r = -6 + 6.3. Let u = 0.7 + r. Let m = -31/3 + 11. What is the smallest value in -4, m, u?
-4
Let u = 110 | {
"pile_set_name": "DM Mathematics"
} |
2/41)/((z*z**(-3/13))/z))/(z**8*z**(3/10)) assuming z is positive.
z**(-43269/5330)
Simplify (c/((c/((c*c**42)/c)*c)/c)*c**(-5))**39 assuming c is positive.
c**1443
Simplify g**(-13)*g/(g/g**7)*g*g**(-4/13)/(g*g/(g**(1/15)*g)) assuming g is positive.
g**(-1217/195)
Simplify (o/(o*o/(o/(((o**(2/53)*o)/o)/o)))*o**(-41))**(-45) assuming o is positive.
o**(95490/53)
Simplify (((c/c**(-1)*c)**(27/5))**(1/72))**9 assuming c is positive.
c**(81/40)
Simplify ((z*(z/z**(-1/2))/z*(z*z**(4/7))/z)**(-18))**(-30) assuming z is positive.
z**(7830/7)
Simplify j**(-15)/j**(1/3)*(j**4/j)**50 assuming j is positive.
j**(404/3)
Simplify ((n**(2/9)/(((n/(n/n**2))/n)/n*n))**(3/8))**(-1/21) assuming n is positive.
n**(1/72)
Simplify ((n/(n**0*n))/(n/(n**(-1/17)*n)))/(n**(-7/5)*n*n**(3/7)) assuming n is positive.
n**(-52/595)
Simplify ((q**(-3)/q*q)/q*q/q**(-3/4)*(q/(q*q**3*q*q)*q)**44)**(-41) assuming q is positive.
q**(29233/4)
Simplify ((x*x/x**(-2/7))**(1/31)*(x/((x/x**0)/x))**13)**(-18) assuming x is positive.
x**(-51066/217)
Simplify (x**(-5)/(x*x*x**(4/21)))/(x**10/(x*x*x**(23/3)*x)) assuming x is positive.
x**(-137/21)
Simplify (b/(b/b**(-15))*b*(b**(6/17)/b)/b)/(b**6)**27 assuming b is positive.
b**(-3020/17)
Simplify ((a/(a*a**(-3/5))*a*a**(-1/4))**(-3))**(-29/3) assuming a is positive.
a**(783/20)
Simplify (i*i**(3/16)*i**20)/(i**(-2))**(-15) assuming i is positive.
i**(-141/16)
Simplify (a**(2/51)/((a/(((a/a**(-2/31))/a)/a))/a))/(a**(-4/5))**(2/9) assuming a is positive.
a**(-17039/23715)
Simplify (((((y*y**(1/22)*y)/y)/y)/y**(-1/34))**41)**(-2/15) assuming y is positive.
y**(-1148/2805)
Simplify x**12*x**(10/3)*x**(1/3)*x/((x*(x*x**6)/x*x)/x)*x assuming x is positive.
x**(32/3)
Simplify (a/a**(1/4))**(6/7)/((a*a**3*a)/a**(-3/17)) assuming a is positive.
a**(-1079/238)
Simplify ((c**(-18)*c*c*c**(1/4)*c)**(-11/5))**(-13) assuming c is positive.
c**(-8437/20)
Simplify ((m*m*m*m**(1/3)*m)**(-2/65)*(m*m/m**(-3)*m)**19)**(21/8) assuming m is positive.
m**(2989/10)
Simplify (x*x/((x/(x*(x*x**(2/7)*x)/x*x))/x))**(-21)*x**(9/4)/x**2 assuming x is positive.
x**(-443/4)
Simplify w*w**(2/21)*w*w*w**(-1/3)*w**(-4)*w**(2/25) assuming w is positive.
w**(-608/525)
Simplify (z/z**12*z**(-8))**(1/38) assuming z is positive.
1/sqrt(z)
Simplify (((c/((c*c**(-2/9))/c))**(-48))**(2/45))**(1/9) assuming c is positive.
c**(-352/1215)
Simplify (o**(-1/10))**12/((o/((o*o*o*o*o**(-1/4)*o*o)/o*o))/((o/(o/(o*o**(-12))))/o)) assuming o is positive.
o**(-169/20)
Simplify q**1*q**(7/5)*q*q*q*(q*q*q*q**(-4))**39 assuming q is positive.
q**(-168/5)
Simplify (f**5/f**(-2))/(f/(((f/(f/f**(2/75)))/f)/f)*f*f**(-1/2)/f*f*f) assuming f is positive.
f**(379/150)
Simplify ((x**5)**(-17))**(27/2) assuming x is positive.
x**(-2295/2)
Simplify (((r**(-11)*r)/r)/(r*(r*r*r/r**(2/19)*r)/r))/(r**(-8/5))**(26/3) assuming r is positive.
r**(-293/285)
Simplify (a**1/a**(-2))/(a**3/a)**(-2/23) assuming a is positive.
a**(73/23)
Simplify (x*x*x**(-12))/x**(9/7)*(x**(-8)*x*x)**(-36) assuming x is positive.
x**(1433/7)
Simplify (v**(-3)/v)**(-39)/(v**7/(v/(((v/(v*v**(-9)))/v)/v*v))) assuming v is positive.
v**142
Simplify m*m**(-1/4)*m*m*m*m**(-2)*(m/m**(-7))/(m/(m**(16/7)*m)*m) assuming m is positive.
m**(309/28)
Simplify (((c/(c**(-6)/c))/c*c*(c*c**4)/c)/(c**(-2/3))**(-4/11))**(-6/5) assuming c is positive.
c**(-776/55)
Simplify ((((v*v**(-10/9))/v*v)/v)/v**(-1/2))**(-1/3) assuming v is positive.
v**(11/54)
Simplify (t**(-2/23))**(9/7)*t**(-1/4)/(t/t**(-7)) assuming t is positive.
t**(-5385/644)
Simplify (i**(-17)*i*i**(4/17)/i)**1 assuming i is positive.
i**(-285/17)
Simplify ((l*l**(1/2)*l)/(l*l**10))/(l/((l**(-5/4)/l)/l))**(11/4) assuming l is positive.
l**(-323/16)
Simplify ((m/(m*m*m**3*m))/m)**(-15)*(m*m**11)/(m/(m**(-2/15)*m)*m) assuming m is positive.
m**(1513/15)
Simplify ((r**(2/5)/r)/r*r*r*r/r**9)/(r**(-8/5)*r**(2/5)/r) assuming r is positive.
r**(-27/5)
Simplify ((j/((j*j*j**(-2))/j))/j)**(-32)/(j**(-6/13)*(j/(j*j*j**1*j))/j) assuming j is positive.
j**(-358/13)
Simplify (r*r**(-1/3))/r**(-1/11)*((r/(r*r*r**(-1/3)*r))/r)/r*r**(2/29) assuming r is positive.
r**(-906/319)
Simplify (c**(3/8)/(c*(c**11*c)/c))/((c/c**15*c)/(c**4/c)) assuming c is positive.
c**(35/8)
Simplify ((d**(5/2)*d*d/((d/d**5)/d))/((d**(-7)*d)/d*d**(-4/5)*d))**(-5/9) assuming d is positive.
d**(-163/18)
Simplify (s**(12/5)/(s/s**(-31)))/(s**(-9)/s*s)**(2/11) assuming s is positive.
s**(-1538/55)
Simplify (j*j*j**(-10)*j*j*j**(2/19)/j)/(j/(j/(j/(j*((j*j**(-7/2))/j)/j)))*j**(-3/2)) assuming j is positive.
j**(-188/19)
Simplify (p**(-4/11)*p*p*p/p**(-2/31))/(p*p**(-2/15)/p)**43 assuming p is positive.
p**(43141/5115)
Simplify ((x**(-17)*x*x)/x**9)/(x**(-2/15)/(x**11/x)) assuming x is positive.
x**(-208/15)
Simplify (b**6)**(-42/11)/(b*b**15/b*b**(14/3)) assuming b is positive.
b**(-1405/33)
Simplify (((((w**(-2/17)/w*w)/w)/w)/w**(-1))/(w*w*w**(-2)*w)**(2/5))**0 assuming w is positive.
1
Simplify ((p**10/p**(-1/3))**(-19))**(-33/2) assuming p is positive.
p**(6479/2)
Simplify (l/(l/l**(1/2)))**(-3)*(l*l**(-10)*l)/(l*l**(2/29)*l) assuming l is positive.
l**(-671/58)
Simplify (k**(-5)*k)**(-2/13)/(k**2)**(1/39) assuming k is positive.
k**(22/39)
Simplify m**(-2)*m*m**20*(m**(4/25))**(-39) assuming m is positive.
m**(319/25)
Simplify (v**(2/3)/(v*v*v**2*v)*v/v**(2/5)*v*v*v/(v*v**(-1)*v*v*v)*v)**7 assuming v is positive.
v**(-287/15)
Simplify (b**0/b)/b**(-1/20)*(b**(-1/7)*b)/b**(1/8) assuming b is positive.
b**(-61/280)
Simplify (v**(-8)*(v*(v**(-1)*v)/v*v)/v)/(v**18*v)**(-4) assuming v is positive.
v**68
Simplify ((((i*i/(i/i**(-2/15)))/i)/i**5)/(i/((i**5/i)/i)*i*i**(-1/11)/i))**(-15) assuming i is positive.
i**(502/11)
Simplify (((s*s**(3/4))/s)/(((s*s*s**(-8)/s)/s)/s)*(s*(s*s/(s**2*s))/s*s*s)**32)**(7/6) assuming s is positive.
s**(1169/24)
Simplify ((y**(-2/7)*y*y*y/(y*(y**(-3/2)*y)/y))**(-11))**(-2/17) assuming y is positive.
y**(495/119)
Simplify (g*g*g**4)**(3/41)/(g/(g/(g/g**(-3/10))))**(2/65) assuming g is positive.
g**(409/1025)
Simplify (c**(1/9)/c*c**(-2/3)*c/((c/(c/(c/((c**(-7)*c)/c))*c))/c*c*c)*c*c*(c*c**(-1)*c)/c*c)**14 assuming c is positive.
c**(-700/9)
Simplify (((z*z*z/((z**(-6)*z*z)/z))/(z*z**(1/2)))/((z/z**6)/(z*z**(-2/19))))**(-5/17) assuming z is positive.
z**(-2355/646)
Simplify (((n*n/(n*n**14)*n)/n*n/(n*n*n/(n*n**(26/5)/n)))**5)**6 assuming n is positive.
n**(-294)
Simplify y**(-20)*y**(-13)*(y**(4/5))**(-2/31) assuming y is positive.
y**(-5123/155)
Simplify ((t*t*t**(11/4)*t)/(t**(-1/24)/t))/(t**15/t*t**19) assuming t is positive.
t**(-629/24)
Simplify (v*v**(2/9))**(2/95)*(v**17/v)/v*v/(v/v**(3/7)) assuming v is positive.
v**(92494/5985)
Simplify (y**(3/20)/y**14)/(y*y**(1/6)*y*y/(y*(y/y**(-5))/y)) assuming y is positive.
y**(-661/60)
Simplify ((c**(-2/5))**14*c**(-5/4)*c*c**7)**(2/29) assuming c is positive.
c**(23/290)
Simplify ((b*(b*b*b**(-2/11))/b)**(-2/33)/(b/b**(-1/3))**(-42))**30 assuming b is positive.
b**(202880/121)
Simplify (((c/(c/(c/(c**(-4/9)*c)*c))*c)/c**(-11/4))**(-9))**(-12/19) assuming c is positive.
c**(561/19)
Simplify ((g/((g/g**(6/5))/g))/g**(-1/9))/(g*g*g**(7/3)*g/(g/g**(-13))*g) assuming g is positive.
g**(449/45)
Simplify ((p*p/(p**(-3/5)*p)*p)/(((p*p**(-1)*p)/p)/p)*p**2/(p/((p*p/p**(-1))/p)))**(2/11) assuming p is positive.
p**(6/5)
Simplify (j**(-1/3)*(j*j/j**13)/j*j)**(-13) assuming j is positive.
j**(442/3)
Simplify ((y*y**(-23))/y)/y*y**3*y/(y*(y/(y/((y/(y**(-3/4)/y)*y)/y))*y)/y)*y**(2/61)*y assuming y is positive.
y**(-5543/244)
Simplify (u**(6/5)/u**(-10/9)*u**(5/4)/(u*u**(2/17)))**(-42) assuming u is positive.
u**(-52339/510)
Simplify u/(u*u**19/u)*u/(u*u**(-1/22))*u**(1/14)/(u**(10/9)*u) assuming u is positive.
u**(-13856/693)
Simplify d**(-7)/d**(-1/2)*(d*(d/(d*d*d*d**(-2/9)*d*d))/d)/(d*d**2) assuming d is positive.
d**(-239/18)
Simplify (a*a/(((a/a**10)/a)/a*a)*a)**25*a**(-8)/(a*a**(-17)) assuming a is positive.
a**333
Simplify l/(l/l**(-19))*l**(-4/3)*l*(l/l**(-5))**34 assuming l is positive.
l**(554/3)
Simplify (o*(o*o**(2/3))/o*(o/o**(2/5))/o*o**(1/5)/o**(1/6))**40 assuming o is positive.
o**52
Simplify ((w**(-1/4))**(-9/4)*(w/(w**(-2/9)/w*w))**20)**(14/3) assuming w is positive.
w**(25207/216)
Simplify (m/m**(1/4)*m)/((m**4/m)/m)*m**(2/3)*m*m**(3/17) assuming | {
"pile_set_name": "DM Mathematics"
} |
digit of 35983?
8
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1
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2
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1
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3
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5
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1
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2
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3
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6
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2
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8
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6
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1
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3
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8
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5
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4
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2
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7
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0
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2
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2
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8
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0
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4
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3
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2
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5
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7
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8
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3
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2
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3
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2
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3
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9
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7
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3
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0
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4
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8
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7
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7
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4
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3
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4
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7
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7
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2
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8
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6
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1
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3
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3
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5
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7
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2
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7
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4
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2
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9
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5
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7
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4
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1
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8
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9
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3
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1
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6
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4
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5
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3
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1
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3
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1
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3
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4
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7
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1
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0
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0
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1
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0
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2
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3
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8
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2
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4
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9
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9
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5
What is the units digit of 609172?
2
What is the ten thousands digit of 525093?
2
What is the hundreds digit of 55696?
6
What is the thousands digit of 36170?
6
What is the thousands digit of 215027?
5
What is the thousands digit of 222009?
2
What is the thousands digit of 6742?
6
What is the millions digit of 2461987?
2
What is the tens digit of 75145?
4
What is the hundred thousands digit of 297689?
2
What is the units digit of 96379?
9
What is the thousands digit of 990052?
0
What is the thousands digit of 43056?
3
What is the ten thousands digit of 595311?
9
What is the hundreds digit of 3355826?
8
What is the tens digit of 4356013?
1
What is the tens digit of 1440766?
6
What is the hundreds digit of 2927771?
7
What is the ten thousands digit of 23694336?
9
What is the thousands digit of 54091?
4
What is the hundreds digit of 516766?
7
What is the ten thousands digit of 115910?
1
What is the hundreds digit of 102736?
7
What is the units digit of 60207?
7
What is the tens digit of 237874?
7
What is the ten thousands digit of 26966766?
6
What is the hundreds digit of 1790508?
5
What is the units digit of 14171?
1
What is the units digit of 15592549?
9
What is the hundred thousands digit of 2513597?
5
What is the ten thousands digit of 2342935?
4
What is the millions digit of 1073009?
1
What is the tens digit of 1052249?
4
What is the millions digit of 7268953?
7
What is the hundreds digit of 142707?
7
What is the units digit of 324701?
1
What is the millions digit of 4362314?
4
What is the hundred thousands digit of 137229?
1
What is the hundreds digit of 95567?
5
What is the hundreds digit of 5190892?
8
What is the units digit of 6921684?
4
What is the units digit of 10100521?
1
What is the ten thousands digit of 121813?
2
What is the hundreds digit of 15959401?
4
What is the millions digit of 2078282?
2
What is the ten thousands digit of 125178?
2
What is the hundred thousands digit of 230809?
2
What is the tens digit of 498102?
0
What is the units digit of 1080263?
3
What is the hundreds digit of 814080?
0
What is the hundred thousands digit of 1687798?
6
What is the tens digit of 308045?
4
What is the units digit of 1098779?
9
What is the hundred thousands digit of 2576556?
5
What is the units digit of 9333666?
6
What is the hundreds digit of 1603340?
3
What is the hundred thousands digit of 1239347?
2
What is the tens digit of 312469?
6
What is the tens digit of 9471039?
3
What is the thousands digit of 1496460?
6
What is the millions digit of 30962721?
0
What is the tens digit of 195382?
8
What is the thousands digit of 98524?
8
What is the hundred thousands digit of 8530722?
5
What is the tens digit of 1374864?
6
What is the units digit of 120180?
0
What is the hundred thousands digit of 2139430?
1
What is the units digit of 283000?
0
What is the thousands digit of 2107126?
7
What is the ten thousands digit of 855282?
5
What is the ten thousands digit of 28609819?
0
What is the hundreds digit of 8971998?
9
What is the thousands digit of 112622?
2
What is the units digit of 2612725?
5
What is the tens digit of 2587723?
2
What is the ten thousands digit of 13770419?
7
What is the units digit of 343275?
5
What is the tens digit of 5698294?
9
What is the ten thousands digit of 291336?
9
What is the thousands digit of 748556?
8
What is the units digit of 7936?
6
What is the hundred thousands digit of 200556?
2
What is the millions digit of 20625533?
0
What is the hundreds digit of 1891381?
3
What is the thousands digit of 25080194?
0
What is the tens digit of 4092415?
1
What is the tens digit of 1906902?
0
What is the millions digit of 24767416?
4
What is the hundreds digit of 67253?
2
What is the hundreds digit of 104451?
4
What is the thousands digit of 3889260?
9
What is the millions digit of 7901114?
7
What is the units digit of 1268031?
1
What is the hundred thousands digit of 2315520?
3
What is the millions digit of 11777144?
1
What is the ten millions digit of 17780907?
1
What is the ten thousands digit of 99152?
9
What is the units digit of 334961?
1
What is the units digit of 95463?
3
What is the thousands digit of 1447670?
7
What is the hundreds digit of 4341665?
6
What is the ten millions digit of 20831220?
2
What is the hundreds digit of 1638151?
1
What | {
"pile_set_name": "DM Mathematics"
} |
1 (c) 124/11 (d) 1.2
d
What is the third biggest value in 383, 1/9, -5.2, 702, 0.1?
1/9
What is the third smallest value in -2/7, 3/7, -2413, -3/5, -25?
-3/5
Which is the sixth smallest value? (a) -5/2 (b) 0.4 (c) -2231/4 (d) -0.4 (e) 0.026 (f) 19
f
Which is the second biggest value? (a) 2 (b) -645 (c) -0.1056 (d) 2/21 (e) 2/11
e
What is the third biggest value in 5/4, 29/300, 0.5?
29/300
What is the second smallest value in 15401248, -0.17, 4?
4
What is the fourth biggest value in 5, -2/13, -2, 0.1, -8.74?
-2
Which is the second smallest value? (a) 1.44 (b) 839 (c) -1.7 (d) 1 (e) -2/7
e
Which is the second smallest value? (a) 7/53 (b) -6 (c) 5 (d) 789 (e) 0.2
a
Which is the sixth smallest value? (a) -3 (b) -4 (c) -3928 (d) -134 (e) -0.2 (f) 0.1 (g) 3/5
f
What is the second smallest value in 445, -136, -5/21?
-5/21
Which is the biggest value? (a) -2/25 (b) -2/1335 (c) -3.35
b
What is the sixth biggest value in 2, -1/30, -4/5, 5, -1/5, -2/3, 33/4?
-2/3
Which is the second smallest value? (a) 1/4 (b) 1/7 (c) -2/5 (d) -0.1 (e) -169
c
Which is the biggest value? (a) 0.3 (b) 1 (c) -732 (d) 0 (e) 29.12
e
Which is the biggest value? (a) 20/3 (b) -1/4 (c) 5 (d) 2.2 (e) -3 (f) -2/25 (g) -2/9
a
Which is the sixth biggest value? (a) 3 (b) 2 (c) -0.18 (d) -8 (e) 5 (f) 97
d
What is the second smallest value in 1, -2/13, -0.5, 0.5, 3, -2523, 25?
-0.5
Which is the third biggest value? (a) -422693 (b) 2 (c) 9 (d) -1/3 (e) -4
d
Which is the smallest value? (a) 2/69 (b) -8/1797 (c) 0.67
b
What is the second smallest value in -1/4, 5, -32, -1, -4, 12574, -2/5?
-4
Which is the biggest value? (a) -1 (b) 3 (c) -13.5 (d) -1/6 (e) 49.749
e
Which is the sixth smallest value? (a) -2/9 (b) -2 (c) -13 (d) 4/5 (e) 0.2943 (f) 0.077
d
Which is the second biggest value? (a) 37 (b) 3/7 (c) -0.3 (d) 23063/6
a
Which is the second biggest value? (a) 2 (b) -12 (c) -118 (d) 1950 (e) -1/2
a
Which is the fifth smallest value? (a) 0.14 (b) -0.84 (c) -5 (d) -15 (e) -8/9
a
Which is the third biggest value? (a) -1 (b) 575 (c) 2/21 (d) 0 (e) -0.56 (f) 4
c
What is the biggest value in 151, -0.1, 1.31?
151
What is the biggest value in -239, -4/5, -57, 4, -3?
4
Which is the second biggest value? (a) -68291 (b) -2 (c) -1/2261
b
Which is the biggest value? (a) 0.1 (b) -4/5 (c) -1 (d) -0.138 (e) 2/25 (f) 5
f
Which is the fifth biggest value? (a) 1 (b) -0.0368 (c) -1 (d) -2/7 (e) 1/63
c
Which is the third biggest value? (a) 801 (b) -73 (c) 2 (d) 20 (e) -5
c
Which is the sixth smallest value? (a) 0.5 (b) 1 (c) 0.1 (d) -9/5 (e) -1255 (f) 0 (g) -3
a
What is the seventh smallest value in 106, -0.3, 2, 0, -1107, -0.2, -4?
106
Which is the fifth biggest value? (a) 0.3 (b) 1.761 (c) -2 (d) 4 (e) 4/3
c
What is the smallest value in 191/2, -2, 691, -3, -0.5, -2/11, 2/15?
-3
What is the biggest value in -27925, -1/4, 0.0546?
0.0546
What is the second smallest value in -268, -0.59, -12, -1/170?
-12
Which is the third smallest value? (a) -1/3 (b) -6 (c) 2/1539 (d) 636
c
What is the biggest value in -1/10, -2, -857169?
-1/10
Which is the second smallest value? (a) 33/5 (b) 27047 (c) 2/3
a
Which is the smallest value? (a) -1/3 (b) 7/5 (c) -46 (d) -1 (e) -0.1 (f) 2/5 (g) -21
c
What is the third smallest value in -1, -5, 2.0612?
2.0612
What is the smallest value in 10/19, -2/63, -8.8, 6/7?
-8.8
Which is the second smallest value? (a) 2/49 (b) -4 (c) 2/19 (d) -90833
b
Which is the biggest value? (a) -2 (b) -1 (c) -4 (d) -354 (e) -0.052
e
Which is the fourth biggest value? (a) -0.3 (b) 0 (c) -449 (d) -14/59
c
Which is the biggest value? (a) -2 (b) -0.37 (c) -116603
b
What is the fourth biggest value in -0.07, -0.12, -2/23, 1/5, -5/6, 19?
-2/23
What is the third biggest value in 4/3, -4029, -2, -0.1?
-2
Which is the third biggest value? (a) 18 (b) 1 (c) -1/3 (d) -10701/44 (e) 0
e
Which is the fourth smallest value? (a) -6 (b) -5 (c) -15/4 (d) -92 (e) 0.4 (f) -1/5
c
Which is the sixth smallest value? (a) 1/306 (b) -33 (c) -2/23 (d) 5 (e) -0.5 (f) -0.09 (g) -0.2
a
Which is the fifth smallest value? (a) 35 (b) 0.4 (c) -2/11 (d) -4 (e) 26678
e
Which is the smallest value? (a) 1/865 (b) 140 (c) -60/13 (d) -2
c
What is the sixth smallest value in 0, 0.4, 79, -14, -0.4, 0.2, 1/66?
0.4
Which is the fourth biggest value? (a) -0.08 (b) -31 (c) -36 (d) -12
c
Which is the second biggest value? (a) 6/7 (b) 0.674643 (c) -82
b
Which is the second biggest value? (a) 16/7 (b) 25 (c) 4 (d) -1.2 (e) -2/29 (f) 9
f
Which is the fifth biggest value? (a) 0 (b) -18.3586 (c) -5 (d) 5 (e) 0.4 (f) -25/2 (g) 0.3
c
What is the third smallest value in 6, -4, -2/9, -139, 0.5, 72?
-2/9
Which is the smallest value? (a) 1 (b) 374 (c) -1/2 (d) 16 (e) -8 (f) 2
e
Which is the second biggest value? (a) -4702 (b) -1/2 (c) -4 (d) 1/4 (e) 1028
d
What is the fifth biggest value in -0.5, -14/27, 0, -0.2, -0.09066?
-14/27
Which is the smallest value? (a) 5 (b) -6/5 (c) -224 (d) 0.3 (e) 190 (f) -0.4
c
Which is the smallest value? (a) 2.2 (b) -7 (c) -369342
c
What is the smallest value in -1/7, -7/223, 1/6, 0.47, -1/8?
-1/7
Which is the second biggest value? (a) 123/4 (b) 0.15 (c) 5
c
Which is the smallest value? (a) -1/16 (b) -2 (c) -4.05 (d) -4/9 (e) 0 (f) -0.21 (g) 1/5
c
What is the fourth smallest value in -2/9, -3/2, -4.3, 4, -2.52, -185?
-3/2
Which is the smallest value? (a) 0.69 (b) -0.1 (c) 0.4 (d) 8/4291
b
Which is the second biggest value? (a) -1357/2 (b) -0.5 (c) -729
a
What is the second smallest value in 1, -26, 384, -0.02?
-0.02
Which is the smallest value? (a) -4 (b) 12870/17 (c) -315
c
Which is the fourth smallest value? (a) 1.8 (b) 6 (c) 5 (d) 0.3 (e) 271/3 (f) 4/11
c
What is the fourth biggest value in -2/5, -66, -4, 15253?
-66
What is the sixth biggest value in -0.2, 0.3, 1, -0.5, 0.05, 336, -0.06?
-0.2
What is the fourth smallest value in -5, -6, 495, -242, -4.7?
-4.7
What is the second smallest value in 2/13, -320, -104/3, 3, -0.4?
-104/3
What is the sixth biggest value in -1/7, -1903, 1/6, -5, 2, -8, -0.7?
-8
Which is the fourth biggest value? (a) -2/3 (b) -3/7 (c) -0.246 (d) 16 (e) -0.07 (f) 2 (g) 0.17
e
What is the third biggest value in -5575, 2888, -7?
-5575
What is the second biggest value in 18, -5, 0.97494?
0.97494
Which is the second biggest value? (a) 15/37 (b) 7 (c) -0.04 (d) -2/5
a
What is the second smallest value in -43/2, -10225, -90?
-90
What is the third biggest value in 5, 22, -935, -3, -0.4, -131?
-0.4
What is the biggest value in -1, -781217, -2?
-1
What is the biggest value in 1.226, 2/7, -2/19, -0.3, -69?
1.226
What is the smallest value in -220, -1, 3, -3, 0.0501, -2?
-220
Which is the second biggest value? (a) -3/7 (b) -1.59 (c) -126 (d) 1/7 (e) 2
d
Which is the fifth biggest value? (a) 4 (b) -1 (c) -0.1 (d) 7 (e) -0.03 (f) 3956
c
Which is the fourth smallest value? (a) 2/53 (b) -391 (c) 3 (d) 1/2 (e) 84
c
Which is the third biggest value? (a) 4 (b) 1683121 (c) -6/25
c
Which is the third smallest value? (a) -7 (b) 550625 (c) 1.07 (d) 3
d
What is the biggest value in 1, -1439, -152, 2, 0.3?
2
What is the second smallest value in -33, -144611, 4/3, -1?
-33
What is the third biggest value in -1/8, 577, 0.2, -0.3, 59, -5?
0.2
Which is the third biggest value? (a) 0.13 (b) 4 (c) -3644/337
c
What is the fifth smallest value in -1/7, -0.5, -2, 3/2, -0.319, -1.06, 10.6?
-1/7
What is the second biggest value in -1/4, -4/5, 0, -8, 3, -5, 4?
3
What is the smallest value in 5, -1, -2/3, -11, 12, -0.01, 0.9?
-11
What is the second smallest value in -2/163, 4/7, -755, -5, 96?
-5
What is the smallest value in 111, 44, -1/421, -1, 0.4?
-1
Which is the third biggest value? (a) 2 (b) -3222 (c) 188 (d) 3/7
d
What is the second biggest value in 58, 8, -220839?
8
Which is the smallest value? (a) -0.1 (b) -45 (c) -50591 (d) 0.2
c
What is the fifth biggest value in 0.5, -0.5, 5, -518/11, -55, 3, 0?
-0.5
Which is the third smallest value? (a) 1.5 (b) 47 (c) -6136
b
What is the fourth biggest value in -2, 1/3, 28, -0.007988?
-2
Which is the t | {
"pile_set_name": "DM Mathematics"
} |
term in -1025, -4125, -9293, -16529, -25833, -37205, -50645?
-66153
What comes next: 7747, 7747, 7749, 7753?
7759
What is the next term in 3447, 6840, 10233, 13626, 17019, 20412?
23805
What is next in 165, 637, 1411, 2487, 3865, 5545?
7527
What is next in 97619, 195237, 292855, 390473?
488091
What is the next term in 41079, 82159, 123233, 164301, 205363?
246419
What is the next term in -42975, -42973, -42971?
-42969
What is next in 2253, 4554, 6901, 9294?
11733
What is next in 239, 359, 461, 545, 611, 659, 689?
701
What is the next term in -109, -246, -403, -586, -801, -1054, -1351?
-1698
What is next in 16512, 33023, 49534?
66045
What comes next: 717684, 717686, 717688?
717690
What is next in 86096, 172190, 258284, 344378, 430472, 516566?
602660
What is next in 3097, 12386, 27867, 49540, 77405?
111462
What is the next term in 789, 1692, 2617, 3576, 4581, 5644, 6777, 7992?
9301
What comes next: -281908, -281913, -281918, -281923, -281928, -281933?
-281938
What is next in 302619, 605240, 907861, 1210482, 1513103?
1815724
What comes next: -681, -679, -661, -621, -553, -451, -309?
-121
What is next in 2981, 3236, 3491, 3746?
4001
What is the next term in 2278, 2248, 2216, 2182?
2146
What is the next term in -206, -842, -1904, -3392, -5306?
-7646
What is the next term in -256885, -256874, -256863, -256852?
-256841
What comes next: 2814, 2832, 2850, 2868, 2886?
2904
What comes next: 184243, 184239, 184235, 184231, 184227, 184223?
184219
What is next in 25162, 50325, 75488, 100651, 125814?
150977
What is next in -321, -240, -161, -84?
-9
What is the next term in -2108, -1644, -1180, -716, -252?
212
What comes next: -210, -404, -564, -684, -758, -780, -744, -644?
-474
What comes next: -2285, -2323, -2363, -2405, -2449, -2495, -2543?
-2593
What is next in 27029, 108139, 243325, 432587, 675925?
973339
What comes next: 9015, 17974, 26919, 35844, 44743, 53610?
62439
What comes next: -38943, -38945, -38947, -38949, -38951?
-38953
What comes next: 2719, 5441, 8169, 10909, 13667, 16449, 19261, 22109?
24999
What is next in 3967, 3883, 3657, 3217, 2491, 1407, -107?
-2123
What comes next: 2923, 5825, 8715, 11587, 14435, 17253, 20035, 22775?
25467
What comes next: 794, 1665, 2614, 3641, 4746?
5929
What is next in -1078, -1193, -1374, -1615, -1910, -2253, -2638?
-3059
What comes next: 108, 295, 680, 1365, 2452, 4043, 6240, 9145?
12860
What is the next term in 668, 2489, 5518, 9749, 15176, 21793?
29594
What comes next: -518, -387, -256, -125, 6?
137
What is next in 308, -412, -1610, -3286, -5440, -8072?
-11182
What comes next: 9480, 18976, 28508, 38094, 47752, 57500, 67356?
77338
What comes next: -74, -70, -26, 88, 302, 646, 1150?
1844
What comes next: 180108, 180110, 180112, 180114, 180116?
180118
What is next in -209, -445, -705, -989, -1297, -1629, -1985?
-2365
What comes next: 257, 135, 13, -109, -231, -353?
-475
What is next in 11293, 11659, 12025, 12391, 12757, 13123?
13489
What is next in 2176, 4300, 6424, 8548, 10672?
12796
What is the next term in 13, 40, 123, 292, 577, 1008?
1615
What comes next: -21946, -21955, -21966, -21979, -21994?
-22011
What comes next: -13341, -26634, -39927?
-53220
What is the next term in -674, -1357, -2054, -2771, -3514, -4289, -5102, -5959?
-6866
What comes next: 104, 141, 134, 83?
-12
What is next in 6940, 6704, 6468?
6232
What is next in -3022, -12062, -27136, -48250, -75410, -108622, -147892, -193226?
-244630
What comes next: -16059, -32108, -48157, -64206, -80255?
-96304
What is next in 237098, 237096, 237094, 237092, 237090, 237088?
237086
What is next in 19739, 39458, 59179, 78902, 98627, 118354, 138083?
157814
What is next in 37764, 75529, 113294, 151059?
188824
What is next in 47, 173, 389, 707, 1139, 1697, 2393, 3239?
4247
What is next in -206, -1856, -6398, -15278, -29942?
-51836
What comes next: 1574, 1108, 644, 182?
-278
What is the next term in 2734, 5448, 8162, 10876, 13590, 16304?
19018
What is the next term in -18, -209, -548, -1029, -1646, -2393?
-3264
What is next in 284, 897, 1918, 3347?
5184
What comes next: -2445, -5720, -8995, -12270, -15545, -18820?
-22095
What is the next term in 13860, 13888, 13942, 14034, 14176, 14380, 14658, 15022?
15484
What comes next: 467096, 1868392, 4203884, 7473572?
11677456
What is the next term in -2037, -4112, -6197, -8292, -10397, -12512?
-14637
What is next in -382, -3118, -10588, -25174, -49258, -85222?
-135448
What is the next term in -6368, -5753, -5138?
-4523
What is next in 3773, 3782, 3795, 3806, 3809?
3798
What is next in 352, 653, 950, 1243, 1532, 1817, 2098?
2375
What is the next term in -218, -492, -766, -1040?
-1314
What is next in -796192, -796182, -796158, -796114, -796044, -795942?
-795802
What is next in 82, 490, 1588, 3718, 7222?
12442
What comes next: 1058236, 1058237, 1058238, 1058239?
1058240
What comes next: 425, 3475, 11767, 27923, 54565?
94315
What comes next: 16, 145, 274?
403
What is next in -335, -1247, -2779, -4937, -7727, -11155, -15227, -19949?
-25327
What is next in 168, 1233, 4144, 9825, 19200?
33193
What comes next: 6215, 6155, 6055, 5915, 5735, 5515?
5255
What is next in 88, 278, 616, 1108, 1760, 2578, 3568, 4736?
6088
What comes next: 835896, 835902, 835918, 835950, 836004, 836086, 836202?
836358
What is next in -475986, -475979, -475970, -475959, -475946?
-475931
What is next in -380, -283, -122, 103, 392, 745?
1162
What is next in -556, -648, -894, -1372, -2160, -3336?
-4978
What comes next: -1444, -1462, -1490, -1528, -1576, -1634, -1702?
-1780
What comes next: 2317, 2263, 2173, 2047?
1885
What is next in 238, 68, -102?
-272
What is the next term in 2412, 19266, 65006, 154074, 300912, 519962, 825666?
1232466
What comes next: -2289, -4536, -6783, -9030, -11277?
-13524
What comes next: 2680, 2774, 2868, 2962, 3056, 3150?
3244
What is the next term in 31650, 63355, 95068, 126795, 158542, 190315, 222120, 253963?
285850
What comes next: -1244, -2346, -3448, -4550?
-5652
What is the next term in 407, 1691, 3929, 7199, 11579, 17147?
23981
What comes next: -468993, -468991, -468989?
-468987
What is next in 30, 173, 382, 693, 1142, 1765?
2598
What is the next term in 180373, 180374, 180375, 180376?
180377
What is the next term in -4151, -16819, -37931, -67487?
-105487
What is the next term in 77, 380, 895, 1628, 2585, 3772, 5195, 6860?
8773
What is next in -892, -1543, -1960, -2149, -2116?
-1867
What is the next term in 693, 2251, 4853, 8499, 13189, 18923?
25701
What comes next: -294665, -294666, -294667, -294668, -294669, -294670?
-294671
What is the next term in -800, -1365, -1926, -2483?
-3036
What comes next: -85582, -85574, -85554, -85516, -85454?
-85362
What is the next term in -12550, -12552, -12554?
-12556
What is the next term in 276, 297, 324, 351, 372, 381, 372?
339
What is the next term in 100, 179, 252, 319, 380?
435
What is next in 2102, 2063, 2024, 1985, 1946?
1907
What is the next term in -1050593, -1050591, -1050589?
-1050587
What is next in -4275, -17103, -38481, -68409?
-106887
What comes next: 1581, 3160, 4739?
6318
What is the next term in 983, 707, 431, 155, -121, -397?
-673
What is next in 13946, 13975, 14014, 14057, 14098, 14131, 14150?
14149
What is the next term in 3059, 3061, 3065, 3071, 3079, 3089?
3101
What is next in 1815, 1615, 1417, 1221?
1027
What comes next: 4678, 9149, 13634, 18139, 22670?
27233
What comes next: -216, -460, -766, -1164, -1684, -2356, -3210?
-4276
What comes next: 126035, 252058, 378081, 504104, 630127?
756150
What is next in 15237, 15069, 14899, 14727, 14553, 14377, 14199?
14019
What comes next: 11530, 23061, 34592, 46123, 57654, 69185?
80716
What is the next term in -3731, -7380, -11029, -14678?
-18327
What is the next term in -102, -812, -2748, -6528, -12770, -22092, -35112, -52448?
-74718
What is next in -1246, -4637, -10250, -18079, -28118, -40361, -54802?
-71435
What comes next: -163888, -163884, -163880?
-163876
What comes next: -1340, -2770, -4202, -5636, -7072, -8510?
-9950
What comes next: 29, 179, 467, 911, 1529, 2339, 3359, 4607?
6101
What comes next: 288, 116, -56, -228, -400, -572?
-744
What comes next: 2117, 2127, 2145, 2171, 2205, 2247, 2297?
2355
What comes next: -1513, -1634, -1959, -2590, -3629?
-5178
What comes next: 975, 1772, 2565, 3354, 4139?
4920
What comes next: 13 | {
"pile_set_name": "DM Mathematics"
} |
1 is divided by 62?
23
What is the remainder when 594 is divided by 23?
19
What is the remainder when 728 is divided by 68?
48
What is the remainder when 34 is divided by 7?
6
What is the remainder when 91 is divided by 23?
22
What is the remainder when 1915 is divided by 160?
155
Calculate the remainder when 687 is divided by 138.
135
What is the remainder when 268 is divided by 10?
8
What is the remainder when 149 is divided by 65?
19
What is the remainder when 95 is divided by 20?
15
Calculate the remainder when 524 is divided by 105.
104
Calculate the remainder when 492 is divided by 8.
4
What is the remainder when 2571 is divided by 22?
19
What is the remainder when 236 is divided by 83?
70
What is the remainder when 659 is divided by 15?
14
Calculate the remainder when 169 is divided by 72.
25
What is the remainder when 1019 is divided by 14?
11
Calculate the remainder when 759 is divided by 6.
3
What is the remainder when 1246 is divided by 24?
22
What is the remainder when 318 is divided by 3?
0
What is the remainder when 79 is divided by 8?
7
Calculate the remainder when 59 is divided by 43.
16
What is the remainder when 973 is divided by 32?
13
What is the remainder when 765 is divided by 48?
45
Calculate the remainder when 232 is divided by 30.
22
What is the remainder when 1903 is divided by 471?
19
Calculate the remainder when 1061 is divided by 14.
11
Calculate the remainder when 2899 is divided by 964.
7
Calculate the remainder when 13519 is divided by 13.
12
Calculate the remainder when 864 is divided by 146.
134
Calculate the remainder when 501 is divided by 8.
5
What is the remainder when 6249 is divided by 125?
124
What is the remainder when 2048 is divided by 114?
110
Calculate the remainder when 159 is divided by 116.
43
What is the remainder when 303 is divided by 11?
6
Calculate the remainder when 98 is divided by 74.
24
Calculate the remainder when 519 is divided by 87.
84
What is the remainder when 119 is divided by 63?
56
Calculate the remainder when 328 is divided by 193.
135
What is the remainder when 163 is divided by 11?
9
Calculate the remainder when 555 is divided by 6.
3
What is the remainder when 496 is divided by 63?
55
What is the remainder when 58 is divided by 2?
0
Calculate the remainder when 2626 is divided by 12.
10
Calculate the remainder when 317 is divided by 7.
2
Calculate the remainder when 1006 is divided by 48.
46
What is the remainder when 228 is divided by 18?
12
Calculate the remainder when 65 is divided by 54.
11
Calculate the remainder when 267 is divided by 211.
56
Calculate the remainder when 628 is divided by 17.
16
What is the remainder when 42 is divided by 31?
11
What is the remainder when 330 is divided by 1?
0
Calculate the remainder when 739 is divided by 182.
11
What is the remainder when 589 is divided by 7?
1
What is the remainder when 3373 is divided by 25?
23
Calculate the remainder when 1052 is divided by 13.
12
What is the remainder when 251 is divided by 84?
83
Calculate the remainder when 270 is divided by 64.
14
Calculate the remainder when 1138 is divided by 85.
33
What is the remainder when 110 is divided by 24?
14
What is the remainder when 305 is divided by 296?
9
Calculate the remainder when 1562 is divided by 18.
14
What is the remainder when 313 is divided by 292?
21
Calculate the remainder when 233 is divided by 79.
75
What is the remainder when 643 is divided by 23?
22
Calculate the remainder when 1428 is divided by 1428.
0
Calculate the remainder when 2133 is divided by 2.
1
What is the remainder when 32740 is divided by 321?
319
What is the remainder when 242 is divided by 3?
2
Calculate the remainder when 193 is divided by 62.
7
Calculate the remainder when 191 is divided by 50.
41
Calculate the remainder when 426 is divided by 101.
22
What is the remainder when 278 is divided by 47?
43
What is the remainder when 2109 is divided by 151?
146
Calculate the remainder when 442 is divided by 7.
1
What is the remainder when 225 is divided by 57?
54
Calculate the remainder when 28844 is divided by 12.
8
Calculate the remainder when 430 is divided by 66.
34
What is the remainder when 18 is divided by 15?
3
What is the remainder when 70 is divided by 45?
25
Calculate the remainder when 127 is divided by 36.
19
Calculate the remainder when 11 is divided by 4.
3
Calculate the remainder when 49 is divided by 10.
9
What is the remainder when 193 is divided by 39?
37
What is the remainder when 1339 is divided by 51?
13
What is the remainder when 111 is divided by 34?
9
Calculate the remainder when 183 is divided by 47.
42
Calculate the remainder when 881 is divided by 289.
14
Calculate the remainder when 21597 is divided by 15.
12
What is the remainder when 40 is divided by 2?
0
Calculate the remainder when 277 is divided by 4.
1
What is the remainder when 1979 is divided by 10?
9
Calculate the remainder when 818 is divided by 20.
18
Calculate the remainder when 355 is divided by 171.
13
What is the remainder when 7 is divided by 3?
1
What is the remainder when 474 is divided by 154?
12
Calculate the remainder when 685 is divided by 341.
3
Calculate the remainder when 890 is divided by 23.
16
Calculate the remainder when 238 is divided by 61.
55
Calculate the remainder when 215 is divided by 12.
11
What is the remainder when 208 is divided by 98?
12
What is the remainder when 20081 is divided by 6?
5
Calculate the remainder when 46 is divided by 11.
2
Calculate the remainder when 1570 is divided by 195.
10
Calculate the remainder when 181 is divided by 46.
43
Calculate the remainder when 239 is divided by 89.
61
Calculate the remainder when 123 is divided by 18.
15
Calculate the remainder when 205 is divided by 23.
21
Calculate the remainder when 573 is divided by 24.
21
What is the remainder when 703 is divided by 171?
19
Calculate the remainder when 1547 is divided by 4.
3
Calculate the remainder when 84 is divided by 20.
4
What is the remainder when 120 is divided by 20?
0
What is the remainder when 478 is divided by 125?
103
Calculate the remainder when 745 is divided by 203.
136
What is the remainder when 1991 is divided by 19?
15
Calculate the remainder when 161 is divided by 95.
66
Calculate the remainder when 343 is divided by 23.
21
What is the remainder when 153 is divided by 83?
70
What is the remainder when 1531 is divided by 64?
59
Calculate the remainder when 139 is divided by 70.
69
Calculate the remainder when 53 is divided by 18.
17
What is the remainder when 345 is divided by 172?
1
Calculate the remainder when 17322 is divided by 315.
312
What is the remainder when 3900 is divided by 1296?
12
Calculate the remainder when 53 is divided by 19.
15
What is the remainder when 139 is divided by 7?
6
Calculate the remainder when 190 is divided by 94.
2
Calculate the remainder when 987 is divided by 15.
12
Calculate the remainder when 209 is divided by 24.
17
What is the remainder when 2148 is divided by 127?
116
What is the remainder when 10126 is divided by 247?
246
What is the remainder when 352 is divided by 98?
58
What is the remainder when 124 is divided by 97?
27
Calculate the remainder when 743 is divided by 124.
123
What is the remainder when 159 is divided by 80?
79
What is the remainder when 176 is divided by 36?
32
What is the remainder when 44 is divided by 30?
14
Calculate the remainder when 174 is divided by 83.
8
What is the remainder when 54 is divided by 11?
10
Calculate the remainder when 4831 is divided by 58.
17
Calculate the remainder when 281 is divided by 76.
53
What is the remainder when 94 is divided by 24?
22
What is the remainder when 3022 is divided by 121?
118
Calculate the remainder when 7849 is divided by 157.
156
Calculate the remainder when 218 is divided by 20.
18
Calculate the remainder when 2620 is divided by 23.
21
What is the remainder when 11983 is divided by 112?
111
Calculate the remainder when 1243 is divided by 43.
39
What is the remainder when 1596 is divided by 41?
38
Calculate the remainder when 303 is divided by 51.
48
Calculate the remainder when 5082 is divided by 1692.
6
Calculate the remainder when 18704 is divided by 29.
28
Calculate the remainder when 24286 is divided by 88.
86
What is the remainder when 1 | {
"pile_set_name": "DM Mathematics"
} |
ositive.
j**(-11)
Simplify q**(5/12)*q**(-28/5)/q assuming q is positive.
q**(-371/60)
Simplify (d/(d/(((d/d**(-1)*d)/d)/d)))**(-3/7) assuming d is positive.
d**(-3/7)
Simplify (v/(v/v**(-8)))/(v*v**(-29)*v*v) assuming v is positive.
v**18
Simplify (y*y*y**(-10/11)*y*y)/y**(-26) assuming y is positive.
y**(320/11)
Simplify (z*(z**(-2/5)*z)/z)**(-16/7)/((z*z**(-1/5))/z**3) assuming z is positive.
z**(29/35)
Simplify ((r**0*r)**(-2/39))**(-2/63) assuming r is positive.
r**(4/2457)
Simplify u/(((u**(-7)/u)/u)/u)*(u/(u*u**(-1))*u)/u*(u/((u/(u/(u**(-1)/u*u)))/u*u))**(1/44) assuming u is positive.
u**(265/22)
Simplify (c/(c/((c*c**(-1/7)*c)/c)))/c**(-2/19) assuming c is positive.
c**(128/133)
Simplify (q**(-18)*q)/q**25 assuming q is positive.
q**(-42)
Simplify (h*(h/h**(2/7))/h)**(-5)*h**(-9)*h**6/h assuming h is positive.
h**(-53/7)
Simplify (p/((p/p**(1/4)*p)/p*p)*p)**(-4/7)*(p*p**(-1))**(-6) assuming p is positive.
p**(-1/7)
Simplify ((a**(-1))**(9/2))**(-43) assuming a is positive.
a**(387/2)
Simplify w/(w*w**(1/5))*w*w**(-8)*(w**(-2/7))**(-13/7) assuming w is positive.
w**(-1634/245)
Simplify d**(-19)/(d*d**(-14)) assuming d is positive.
d**(-6)
Simplify (((l**0*l*l)/l)**(-4/5))**(-30) assuming l is positive.
l**24
Simplify (a/a**(-1/2))**(-18/11)*(a**(-1/4))**(2/31) assuming a is positive.
a**(-1685/682)
Simplify (s*(s*s/(((s*(s/((s*s**(-1/3))/s))/s*s)/s*s)/s))/s)/s*s**(2/3)*((s/s**(-2/3))/s*s)/(s/(s*s**2*s)) assuming s is positive.
s**5
Simplify (b**4/(b/(b*b**(2/17)/b)))**9 assuming b is positive.
b**(477/17)
Simplify (b**(-3)/b**(2/7))**(-50) assuming b is positive.
b**(1150/7)
Simplify (u/(u*(u*u/(u**8/u*u))/u))/(u/(u*u/u**4)) assuming u is positive.
u**4
Simplify ((g/(g*g**(-3)))**20)**17 assuming g is positive.
g**1020
Simplify ((p*p*p*p**(-2/11)/p*p)**(4/15))**(-1/50) assuming p is positive.
p**(-62/4125)
Simplify (x/x**(1/4)*x*x**(-4/5))**(-1/11) assuming x is positive.
x**(-19/220)
Simplify u**(13/4)/(u*u/(u**(-12/7)/u)*u) assuming u is positive.
u**(-69/28)
Simplify (g**7/(((g**(2/13)*g*g)/g)/g))/(g**(-3/4)/g**1) assuming g is positive.
g**(447/52)
Simplify b**(-1/17)/b*b**(-2/15)/b assuming b is positive.
b**(-559/255)
Simplify ((l*l**4*l)/l)**(-47) assuming l is positive.
l**(-235)
Simplify (l**(-2)*l)**(2/57)*(l*l**(1/3))**(-3/4) assuming l is positive.
l**(-59/57)
Simplify k**(1/11)/(k/(k**0/k*k))*((k/(k*k**1*k*k))/k)**(-2/55) assuming k is positive.
k**(-42/55)
Simplify (w/(w*w*w*w**(1/3)*w)*w)/w*w*(w**(-2/33)*w)/w*(w/w**1)**50 assuming w is positive.
w**(-79/33)
Simplify ((u*u**0/u)/u**(-7/2))**(20/9) assuming u is positive.
u**(70/9)
Simplify ((n**(5/2)/n)/(n/(n*(n/n**(-1))/n)))**(-22) assuming n is positive.
n**(-55)
Simplify m**(-5/2)*m*m*m**(-2)/m*m assuming m is positive.
m**(-5/2)
Simplify ((p/(p**(2/3)/p))/(p/(p*p**(-4))))**21 assuming p is positive.
p**(-56)
Simplify (x/x**(1/7)*x**(1/6))/(x*(x*x/x**(-1/2))/x*x)**(-13) assuming x is positive.
x**(977/21)
Simplify j**4*j/(j**(2/11)/j)*j*j*j**(1/4)*j**(2/3) assuming j is positive.
j**(1153/132)
Simplify (p*p**(2/13)/p*p**(3/19))**(-29) assuming p is positive.
p**(-2233/247)
Simplify (a/a**(-4)*a*a**(-5)/a*a)/(a*a**(2/3)*a)**(-8/5) assuming a is positive.
a**(79/15)
Simplify u**1*u**(-6)*u*u**(-1)*u*u**3*u assuming u is positive.
1
Simplify (w*w/(w**(-1/2)/w)*w*w*(w**10*w)/w*w)/(w**0*w)**47 assuming w is positive.
w**(-61/2)
Simplify (c**(3/29)*c)/c*c**(-12/11) assuming c is positive.
c**(-315/319)
Simplify (p*p**(-14)*p*p)/p*p**(-18) assuming p is positive.
p**(-30)
Simplify k*k**(4/3)*k*(k/k**15)/k assuming k is positive.
k**(-35/3)
Simplify d/(d*((d*d*d/((d/(d/(((d*d**(-2/19)*d)/d*d)/d)*d))/d)*d)/d)/d)*d*d**11 assuming d is positive.
d**(169/19)
Simplify k**7*k**5*(k**(1/4)/k)**5 assuming k is positive.
k**(33/4)
Simplify (s**(3/2))**(-2/55) assuming s is positive.
s**(-3/55)
Simplify x**(-31)*x/x**23 assuming x is positive.
x**(-53)
Simplify (t*(t/(t*t*t**(2/5)*t*t))/t*t/(t/t**3))/(t**0)**(1/55) assuming t is positive.
t**(-2/5)
Simplify (p**(-5/4))**26 assuming p is positive.
p**(-65/2)
Simplify (q**(1/9)*q**7*q)**(6/5) assuming q is positive.
q**(146/15)
Simplify (w/(w**(2/7)/w))**(3/8)/((w/w**(-1/8))/(w/w**(-2/3))) assuming w is positive.
w**(199/168)
Simplify (o**0/o*o)**41 assuming o is positive.
1
Simplify ((l*l**(3/5))/l)/(l/l**2*l)*(l**(2/7)*l)**(-5/7) assuming l is positive.
l**(-78/245)
Simplify g**6*g*g**3/g*g*(g/(g/(g/(g*g**(2/9))))*g)/g*g**(-2/5)/g assuming g is positive.
g**(377/45)
Simplify g*g**(2/11)*g**(1/10) assuming g is positive.
g**(141/110)
Simplify (b**(1/2))**(1/17)/((b*b**0*b)/b*b**5) assuming b is positive.
b**(-203/34)
Simplify (u**(1/7))**(-40) assuming u is positive.
u**(-40/7)
Simplify (v/(v*v*v*v**(-5)))/v**(-4) assuming v is positive.
v**7
Simplify x/(x/((((x*(((x*x**(-9/7))/x)/x)/x*x)/x)/x*x*x)/x))*x**(-15/2)/x assuming x is positive.
x**(-151/14)
Simplify ((((b*b**6)/b)/b)**(2/109))**14 assuming b is positive.
b**(140/109)
Simplify (a/(a*a/(a/(a**(-3)/a*a))*a*a)*a)**(-49) assuming a is positive.
a**(-98)
Simplify ((w*w/(w/w**(6/5)*w))/((w/w**(-1/4))/w))**(3/5) assuming w is positive.
w**(57/100)
Simplify c**(5/7)*c**(2/7)*(c**2)**2 assuming c is positive.
c**5
Simplify (l**(-10)/l**(1/13))**31 assuming l is positive.
l**(-4061/13)
Simplify j**(-9)/(j*j*j/(j*j/(j*j/j**(-37)*j))) assuming j is positive.
j**(-50)
Simplify b**18*b*b**(-9) assuming b is positive.
b**10
Simplify (((p**(2/7)/p)/p)**(-17))**(8/15) assuming p is positive.
p**(544/35)
Simplify k**6*k**(-16)/k assuming k is positive.
k**(-11)
Simplify z**4*z**0*(z/z**2)/(z**(4/3)/z*z*z) assuming z is positive.
z**(2/3)
Simplify ((o/(o*o**(-1/2)))/o*o**(-5/4))**(6/11) assuming o is positive.
o**(-21/22)
Simplify (j*j**(-2/39)/j*j)**(-5/6) assuming j is positive.
j**(-185/234)
Simplify k**0*k*k*k*k/(k**0/k)*(k**0)**24 assuming k is positive.
k**5
Simplify w**(-2/11)*w**16*w*w assuming w is positive.
w**(196/11)
Simplify (w**(-1/6)*(w/((w/(w/w**(-8/3)))/w)*w*w)/w)/(w**(1/2)/w)**(2/7) assuming w is positive.
w**(79/14)
Simplify u**(-5/3)/(u/u**(-8))*(u/(u/u**2*u))**(1/6) assuming u is positive.
u**(-21/2)
Simplify (k**(-1)/k)**28/(k**(-1)/k*k*k**(2/13)*k) assuming k is positive.
k**(-730/13)
Simplify (o**0*o)/o*(o*o**(4/17))/o*o assuming o is positive.
o**(21/17)
Simplify (c*c**1)**(-1/35)/((c**1*c)/c)**(-1/39) assuming c is positive.
c**(-43/1365)
Simplify (((q**0*q)/q*q)/q)**2 assuming q is positive.
1
Simplify ((x*x/(x*x**(-5))*x)/(x**6/x*x))**(2/81) assuming x is positive.
x**(2/81)
Simplify (((g**(-1)/g)/g)**(-14/11))**(-2/17) assuming g is positive.
g**(-84/187)
Simplify w*w**(4/5)/w*w**(4/9) assuming w is positive.
w**(56/45)
Simplify ((x/(x**(2/3)*x)*x)**(-2/151))**(-32) assuming x is positive.
x**(64/453)
Simplify o**(3/16)*((((o**(2/17)/o)/o)/o)/o)/o assuming o is positive.
o**(-1277/272)
Simplify (((k*k*k**(2/33)/k*k)/k*k)/k)**(-4/17) assuming k is positive.
k**(-140/561)
Simplify (p/(p/((p*p/(p/((p**(-2/3)*p)/p)))/p)))**(2/57)*p**(1/13)*p**(1/7) assuming p is positive.
p**(3056/15561)
Simplify (f/(f**(-2/5)*f))/((f*f**(16/7)*f)/f*f) assuming f is positive.
f**(-136/35)
Simplify m**(1/27)*m*((m*m**(-1/8))/m)/m*m assuming m is positive.
m**(197/216)
Simplify (h/(h/(h/h**(-6))))**(-3/2) assuming h is positive.
h**(-21/2)
Simplify u**(1/26)*u*u*u/(u/((u**16*u)/u)) assuming u is positive.
u**(469/26)
Simplify w**(3/11)*w**(-7/6) assuming w is positive.
w**(-59/66)
Simplify (f/f**(-10))**(-27) assuming f is positive.
f**(-297)
Simplify d**(-5/3)/(d*d**(-2/11)) assuming d is positive.
d**(-82/33)
Simplify ((a/(a**17/a))/a)/((a*a**(14/9)*a)/a*a) assuming a is positive.
a**(-176/9)
Simplify (x**(1/6))**43 assuming x is positive.
x**(43/6)
Simplify ((c*c**1/c)/c)**42*((c*c**(-1/3)*c*c)/c)**(1/3) assuming c is positive.
c**(5/9)
Simplify (t/(t/(t**(3/7)/t))*t)/(t*t/(t*(t/(t*t**10))/t)*t) assuming t is positive.
t**(-88/7)
Simplify ((r/(r/(r*r**7)*r))/r*r/r**12)**(3/20) assuming r is positive.
r**(-3/4)
Simplify (((r*r**(-2)/r)/r)**(22/9))**(-37/3) assuming r is positive.
r**(814/9)
Simplify (w**(3/5)/w**(-3))/(w*w**(-2/7))**(1/7) assuming w is positive.
w**(857/245)
Simplify (t*t*t/(t*t/(t**(-1/5)/t)*t)*t)**27 assuming t is positive.
t**(-27/5)
Simplify (((s/(s/(s*s**9)))/s)/ | {
"pile_set_name": "DM Mathematics"
} |
26?
12
Calculate the remainder when 192 is divided by 4.
0
What is the remainder when 7589 is divided by 146?
143
Calculate the remainder when 688 is divided by 63.
58
Calculate the remainder when 24242 is divided by 209.
207
What is the remainder when 95 is divided by 23?
3
What is the remainder when 126 is divided by 13?
9
What is the remainder when 246 is divided by 33?
15
What is the remainder when 261 is divided by 24?
21
What is the remainder when 6658 is divided by 238?
232
What is the remainder when 3668 is divided by 216?
212
Calculate the remainder when 180 is divided by 87.
6
Calculate the remainder when 526 is divided by 88.
86
What is the remainder when 218 is divided by 115?
103
What is the remainder when 318 is divided by 11?
10
What is the remainder when 182 is divided by 116?
66
What is the remainder when 4073 is divided by 15?
8
What is the remainder when 4381 is divided by 51?
46
Calculate the remainder when 67 is divided by 19.
10
Calculate the remainder when 522 is divided by 77.
60
Calculate the remainder when 2243 is divided by 11.
10
What is the remainder when 1088 is divided by 27?
8
What is the remainder when 64 is divided by 13?
12
Calculate the remainder when 176 is divided by 38.
24
Calculate the remainder when 135 is divided by 14.
9
What is the remainder when 66 is divided by 29?
8
Calculate the remainder when 283 is divided by 52.
23
Calculate the remainder when 66 is divided by 30.
6
Calculate the remainder when 1278 is divided by 46.
36
What is the remainder when 6379 is divided by 2121?
16
Calculate the remainder when 130 is divided by 120.
10
What is the remainder when 172 is divided by 37?
24
Calculate the remainder when 159 is divided by 24.
15
Calculate the remainder when 180 is divided by 78.
24
Calculate the remainder when 193 is divided by 11.
6
What is the remainder when 206 is divided by 198?
8
What is the remainder when 318 is divided by 14?
10
What is the remainder when 53 is divided by 14?
11
Calculate the remainder when 56 is divided by 7.
0
Calculate the remainder when 235 is divided by 4.
3
Calculate the remainder when 14390 is divided by 117.
116
Calculate the remainder when 888 is divided by 293.
9
What is the remainder when 17016 is divided by 134?
132
Calculate the remainder when 69 is divided by 38.
31
Calculate the remainder when 2327 is divided by 137.
135
What is the remainder when 646 is divided by 8?
6
Calculate the remainder when 461 is divided by 77.
76
Calculate the remainder when 226 is divided by 114.
112
Calculate the remainder when 12949 is divided by 70.
69
What is the remainder when 806 is divided by 105?
71
Calculate the remainder when 298 is divided by 10.
8
Calculate the remainder when 105 is divided by 50.
5
What is the remainder when 2158 is divided by 45?
43
Calculate the remainder when 1509 is divided by 72.
69
What is the remainder when 307 is divided by 105?
97
Calculate the remainder when 62 is divided by 61.
1
Calculate the remainder when 918 is divided by 22.
16
What is the remainder when 299 is divided by 34?
27
Calculate the remainder when 75 is divided by 7.
5
Calculate the remainder when 319 is divided by 80.
79
Calculate the remainder when 740 is divided by 71.
30
What is the remainder when 133 is divided by 32?
5
What is the remainder when 107 is divided by 33?
8
What is the remainder when 57 is divided by 3?
0
Calculate the remainder when 294 is divided by 23.
18
What is the remainder when 397 is divided by 19?
17
Calculate the remainder when 855 is divided by 39.
36
Calculate the remainder when 248 is divided by 55.
28
Calculate the remainder when 78 is divided by 35.
8
Calculate the remainder when 549 is divided by 25.
24
Calculate the remainder when 149 is divided by 52.
45
Calculate the remainder when 130 is divided by 32.
2
What is the remainder when 154 is divided by 48?
10
What is the remainder when 192 is divided by 4?
0
What is the remainder when 39 is divided by 14?
11
What is the remainder when 40834 is divided by 332?
330
Calculate the remainder when 2036 is divided by 1001.
34
What is the remainder when 1379 is divided by 54?
29
Calculate the remainder when 1366 is divided by 10.
6
What is the remainder when 91 is divided by 36?
19
What is the remainder when 1807 is divided by 152?
135
What is the remainder when 621 is divided by 105?
96
What is the remainder when 24509 is divided by 19?
18
What is the remainder when 260 is divided by 84?
8
What is the remainder when 1925 is divided by 47?
45
Calculate the remainder when 83 is divided by 7.
6
Calculate the remainder when 1002 is divided by 63.
57
What is the remainder when 621 is divided by 89?
87
Calculate the remainder when 82 is divided by 30.
22
Calculate the remainder when 2037 is divided by 4.
1
What is the remainder when 235 is divided by 110?
15
Calculate the remainder when 52 is divided by 43.
9
What is the remainder when 387 is divided by 116?
39
What is the remainder when 366 is divided by 123?
120
What is the remainder when 28 is divided by 16?
12
What is the remainder when 1092 is divided by 535?
22
Calculate the remainder when 726 is divided by 48.
6
Calculate the remainder when 6 is divided by 5.
1
Calculate the remainder when 942 is divided by 86.
82
What is the remainder when 153 is divided by 84?
69
What is the remainder when 74 is divided by 15?
14
Calculate the remainder when 200 is divided by 101.
99
What is the remainder when 83 is divided by 26?
5
What is the remainder when 11608 is divided by 270?
268
What is the remainder when 2267 is divided by 71?
66
What is the remainder when 2669 is divided by 99?
95
What is the remainder when 422 is divided by 74?
52
What is the remainder when 78 is divided by 10?
8
Calculate the remainder when 30 is divided by 28.
2
What is the remainder when 16 is divided by 14?
2
Calculate the remainder when 128 is divided by 37.
17
What is the remainder when 116 is divided by 41?
34
What is the remainder when 320 is divided by 14?
12
What is the remainder when 1085 is divided by 34?
31
What is the remainder when 331 is divided by 115?
101
Calculate the remainder when 8590 is divided by 179.
177
What is the remainder when 140 is divided by 36?
32
What is the remainder when 101 is divided by 16?
5
What is the remainder when 272 is divided by 57?
44
What is the remainder when 9091 is divided by 28?
19
Calculate the remainder when 269 is divided by 5.
4
Calculate the remainder when 215 is divided by 196.
19
Calculate the remainder when 518 is divided by 52.
50
What is the remainder when 2655 is divided by 13?
3
What is the remainder when 429 is divided by 98?
37
Calculate the remainder when 560 is divided by 33.
32
Calculate the remainder when 3597 is divided by 4.
1
Calculate the remainder when 90 is divided by 3.
0
Calculate the remainder when 208 is divided by 46.
24
Calculate the remainder when 313 is divided by 28.
5
What is the remainder when 884 is divided by 51?
17
What is the remainder when 61 is divided by 28?
5
What is the remainder when 64 is divided by 13?
12
Calculate the remainder when 4320 is divided by 29.
28
What is the remainder when 36 is divided by 25?
11
What is the remainder when 254 is divided by 22?
12
Calculate the remainder when 572 is divided by 7.
5
What is the remainder when 191 is divided by 163?
28
What is the remainder when 2810 is divided by 112?
10
Calculate the remainder when 22397 is divided by 32.
29
Calculate the remainder when 955 is divided by 403.
149
Calculate the remainder when 132 is divided by 60.
12
Calculate the remainder when 84 is divided by 48.
36
Calculate the remainder when 155 is divided by 135.
20
What is the remainder when 137 is divided by 71?
66
Calculate the remainder when 117 is divided by 61.
56
What is the remainder when 82 is divided by 70?
12
What is the remainder when 160 is divided by 3?
1
Calculate the remainder when 1721 is divided by 286.
5
Calculate the remainder when 597 is divided by 15.
12
What is the remainder when 688 is divided by 27?
13
What is the remainder when 2433 is divided by 58?
55
What is the remainder when 386 is divided by 108?
62
Calculate the remainder when 311 is divided by 13.
12
Calculate the remainder when 1437 is divided by 359.
1
What is the remainde | {
"pile_set_name": "DM Mathematics"
} |
**3 + 0. Factor a(i).
-2*i**2*(i - 1)**3/9
Let w(f) be the first derivative of -1/3*f**2 + 2/9*f**3 - 2 + 0*f. Factor w(n).
2*n*(n - 1)/3
Let w = -5 + 7. Factor 72*b - 27 - 157*b**w + 125*b**3 - 68*b**2 + 63*b.
(5*b - 3)**3
Let g = -116 + 118. Let w(y) be the first derivative of 0*y**3 + 4 + 1/22*y**4 + 2/55*y**5 + 0*y**g + 0*y. Solve w(m) = 0 for m.
-1, 0
Let h = -6 + 8. Let m be (-100)/36 + 1 + h. Factor -2/9*g**3 + 2/9 + m*g - 2/9*g**2.
-2*(g - 1)*(g + 1)**2/9
Suppose -2*x - 5*x + x = 0. Let m(p) be the second derivative of 0*p**2 + 1/20*p**5 + 2*p + x + 1/6*p**4 + 1/6*p**3. Let m(q) = 0. What is q?
-1, 0
Let o be (-10)/(-4) - (-5)/10. Let -h**2 + o*h**4 + 8*h**4 - 10*h**4 = 0. What is h?
-1, 0, 1
Let x be ((-60)/(-14))/(9/42). Let s = -17 + x. Determine v so that -v - 1/3*v**s + 1/3 + v**2 = 0.
1
Let j = 0 + 33. Let p be (-1 - -4) + j/(-12). Solve -1/4*z - 1/4 + p*z**3 + 1/4*z**2 = 0 for z.
-1, 1
Let i(d) be the second derivative of -d**5/5 - 2*d**4/3 + 2*d**3/3 + 4*d**2 + 6*d. Factor i(u).
-4*(u - 1)*(u + 1)*(u + 2)
Let c(r) be the second derivative of -1/3*r**4 + 0*r**2 + 1/3*r**3 - 4/5*r**5 + 0 + r. Suppose c(j) = 0. Calculate j.
-1/2, 0, 1/4
Let g(x) = x**5 + x**4 - x**3 - 1. Let t(u) = -9*u**5 + 29*u**4 + 3*u**3 - 5. Let a(b) = 10*g(b) - 2*t(b). Find w, given that a(w) = 0.
-2/7, 0, 2
Let b be 1 - 0 - 42/(-6). Suppose 2*o - 4 - b = 0. Let -o*l**2 - 10/3*l**3 - 2/3*l**4 - 4/3 - 14/3*l = 0. Calculate l.
-2, -1
Suppose -5*h - k = k + 6, -10 = 2*h - 3*k. Let m = h + 4. Find z such that 4*z**2 - 3*z**4 + 3*z**5 - 3*z**3 + 3*z**2 - 4*z**m = 0.
-1, 0, 1
Factor -8/9*q + 0 - 4/3*q**2.
-4*q*(3*q + 2)/9
Let l(r) be the second derivative of r**6/180 - r**5/30 + r**4/18 + 13*r. Find a such that l(a) = 0.
0, 2
Let f(h) = 36*h**2 + 4*h + 16. Let j(b) = -7*b**2 - b - 3. Let q(s) = -3*f(s) - 16*j(s). Find v, given that q(v) = 0.
-1, 0
Let c(l) be the second derivative of 0*l**3 - 3/50*l**5 + 0 - 1/105*l**7 + 0*l**2 + 1/25*l**6 + 1/30*l**4 + 4*l. Suppose c(q) = 0. Calculate q.
0, 1
Let v(m) be the first derivative of m**3 + 12*m**2 + 48*m - 39. Find l such that v(l) = 0.
-4
Let k be -1 + (1 - 18/(-21)). Let t be 4/7*(-4)/(-8). Factor -t*r**3 + 0*r + 8/7 - k*r**2.
-2*(r - 1)*(r + 2)**2/7
Suppose 0 = 5*j + 4 + 6. Let h = j + 2. Factor h*b**2 + 0 + 0*b**4 + 0*b - 8/7*b**5 + 2/7*b**3.
-2*b**3*(2*b - 1)*(2*b + 1)/7
Let k = 41 + 5. Suppose 12 - 108*g + k*g**2 - 19*g**2 + 36*g**2 + 180*g**2 = 0. What is g?
2/9
Let a be 40/(-60)*3/(-10). Let v(k) be the second derivative of -1/15*k**3 + 2*k + 1/50*k**5 + 1/30*k**4 - a*k**2 + 0. Determine u so that v(u) = 0.
-1, 1
Let s(o) be the third derivative of -o**5/240 - 5*o**4/16 - 75*o**3/8 + 2*o**2 + 5. What is y in s(y) = 0?
-15
Let x be 320/(-15)*3/(-9). Factor -112*u**3 - 976/9*u**2 + 32/9 + x*u + 882*u**4.
2*(7*u - 2)**2*(9*u + 2)**2/9
Let y(b) be the third derivative of b**7/630 - b**6/120 + b**5/180 + b**4/24 - b**3/9 + 6*b**2. Find o, given that y(o) = 0.
-1, 1, 2
Let z(f) = f**5 + f**4 + f**2 - f - 1. Let p(o) = -2*o**5 - 3*o**4 - o**2 + o + 1. Let b(k) = 5*p(k) + 5*z(k). Suppose b(v) = 0. Calculate v.
-2, 0
Let o be (48/(-5))/(-4) - 8/4. Factor o - 4/5*j + 2/5*j**2.
2*(j - 1)**2/5
Let q(h) be the first derivative of h**3/5 + 3*h**2/10 - 2. Determine r, given that q(r) = 0.
-1, 0
Let l be (-4)/((-708)/(-53)) + 1. Let s = l - 2/59. Factor 0 + 2/9*k**3 - s*k**2 + 4/9*k.
2*k*(k - 2)*(k - 1)/9
Let u(t) be the third derivative of 4*t**7/945 - t**5/90 - t**4/108 - 52*t**2. Factor u(a).
2*a*(a - 1)*(2*a + 1)**2/9
Factor 5*c**4 + 65*c**2 + 2*c**3 - 67*c**2 + 4*c**5 - 9*c**3.
c**2*(c - 1)*(c + 2)*(4*c + 1)
Let n = 1272 - 1270. Factor 0 + 9/4*l + 3/4*l**3 - 3*l**n.
3*l*(l - 3)*(l - 1)/4
Let q(z) = 7*z + 2. Let c be q(4). Suppose -r = -6*r + c. What is j in 0*j**3 + 6*j**3 + 2*j - r*j**2 + 0*j**2 - 2*j**4 = 0?
0, 1
Suppose -5*x = 3*h - 24 + 3, 1 = -h + x. Factor 12/5*o**3 + 9/5*o**4 + 0*o + 0 + 3/5*o**h.
3*o**2*(o + 1)*(3*o + 1)/5
Let z(s) be the first derivative of s**6/48 + 3*s**5/40 + 3*s**4/32 + s**3/24 - 24. What is b in z(b) = 0?
-1, 0
Let j(u) be the first derivative of -3 + 1/15*u**6 + 0*u**4 - 4/25*u**5 + 0*u + 0*u**2 + 0*u**3. Factor j(b).
2*b**4*(b - 2)/5
Let u(c) = -10*c**3 - 3*c**2 - 2*c + 1. Let r be u(-2). Factor 6*n**2 - 10*n - r - 2*n**3 + 75 + 4*n.
-2*(n - 1)**3
Let p = 8 - 8. Suppose p = 2*a - 5*a. Determine k, given that 1/4*k**3 + 0*k + 1/4*k**4 - 1/4*k**5 - 1/4*k**2 + a = 0.
-1, 0, 1
What is i in -4*i - 2/9*i**2 - 18 = 0?
-9
Let t(s) = 3*s**4 - 27*s**3 - 27*s**2 + 3*s - 9. Let r(x) = -x**4 + 13*x**3 + 13*x**2 - x + 4. Let q(d) = -9*r(d) - 4*t(d). Factor q(j).
-3*j*(j + 1)**3
Let w(t) be the first derivative of 0*t**3 + 1/6*t**2 - 1/12*t**4 + 0*t - 3. Suppose w(a) = 0. What is a?
-1, 0, 1
Let d(q) be the first derivative of -2*q**6/3 + 2*q**4 - 2*q**2 + 10. Factor d(r).
-4*r*(r - 1)**2*(r + 1)**2
Let y = 15 + -13. Let l be 1/y - 13/(-6). Factor -2/3*w**3 + 0*w**2 - l*w**5 + 0 + 0*w - 10/3*w**4.
-2*w**3*(w + 1)*(4*w + 1)/3
Let w(q) be the third derivative of -q**8/6720 + q**6/720 - q**4/96 + q**3/3 + q**2. Let z(x) be the first derivative of w(x). Factor z(y).
-(y - 1)**2*(y + 1)**2/4
Let 0*b + 1/5*b**3 - 4/5 + 3/5*b**2 = 0. What is b?
-2, 1
Let m(q) be the first derivative of 4/25*q**5 + 0*q + 0*q**4 + 0*q**3 + 1/3*q**6 + 5 + 0*q**2. Factor m(l).
2*l**4*(5*l + 2)/5
Let r(q) be the second derivative of 1/60*q**5 + 0*q**3 + 0 - q**2 + 1/12*q**4 + q. Let s(b) be the first derivative of r(b). Let s(x) = 0. What is x?
-2, 0
Let n(c) be the second derivative of -c**5/90 + c**4/36 - c**2 + 4*c. Let q(l) be the first derivative of n(l). Solve q(k) = 0.
0, 1
Let q be ((-1)/(-3))/(7 - 6). Let y(j) be the third derivative of q*j**3 + 0*j - 1/4*j**4 + 1/10*j**5 - j**2 - 1/60*j**6 + 0. Factor y(k).
-2*(k - 1)**3
Let u be 62/56 - 0 - (-39)/(-156). Find v, given that -2/7*v**3 + u*v**2 - 6/7*v + 2/7 = 0.
1
Let t(v) = 11*v - 85. Let m be t(8). Let i(r) be the first derivative of -1/18*r**m + 0*r - 3 + 0*r**2. Factor i(n).
-n**2/6
Let u = 96 + -90. Let k(a) be the third derivative of 0*a**3 + 0 + 0*a + 0*a**4 + 0*a**5 - 4*a**2 + 1/300*a**u. Factor k(c).
2*c**3/5
Let q(y) be the second derivative of 0*y**3 - y + 1/110*y**5 + 0*y**4 + 0 + 0*y**2 - 1/165*y**6. Factor q(f).
-2*f**3*(f - 1)/11
Let h = -28 + 31. Let p(s) be the second derivative of -1/10*s**2 + 1/30*s**h + 0 + 1/30*s**4 - s. Let p(n) = 0. What is n?
-1, 1/2
Suppose -9 = -0*a - 3*a. Factor 2*v**2 - a*v + 4*v**3 + 3 - 5*v**2 - 4 - 5*v**3.
-(v + 1)**3
Solve 8/11 + 0*a - 2/11*a**2 = 0.
-2, 2
Let i(d) = 2*d**2 - d + 7. Let y(g) = -6*g + 4*g - 1 + 3*g + 0*g. Let u(b) = -i(b) - 5*y(b). Factor u(o).
-2*(o + 1)**2
Let g(s) be the second derivative of s**4/12 - s**3/6 - s. Let p(o) = -2*o**2 + 10*o + 4. Let q be (-6)/3 - 1*2. Let f(l) = q*g(l) - p(l). Factor f(w).
-2*(w + 1)*(w + 2)
Let v(t) be the first derivative of t**4/4 - 4*t**3/3 + 5*t**2/2 - 2*t + 1. Factor v(u).
(u - 2)*(u - 1)**2
Find h such that -32*h - 20 - 86*h**2 + 81*h**2 + 7*h = 0.
-4, -1
Let b = -66 + 68. Factor -4/5*t**3 + 2/5*t**b + 0 + 0*t + 2/5*t**4.
2*t**2*(t - 1)**2/5
Let a(h) be the third derivative of h**7/525 + h**6/300 - h**5/50 - h**4/60 + 2*h**3/15 - 6*h**2. What is p in a(p) = 0?
-2, -1, 1
Let q(x) be the third derivative of -x**6/1080 - x**5/180 + x**4/24 + x**3/6 + 5*x**2. Let n(t) be the first derivative of q(t). Find m such that n(m) = 0.
-3, 1
Suppose -2*p = 4*c + 16, 2*p - 4*c - 29 = c. Let g(n) be the third derivative of -1/96*n**4 - p*n**2 + 0*n**3 - 1/240*n**5 + 0*n + 0. Solve g(q) = 0 for q.
-1, 0
Let g = 533 - 531. Solve 0 + 0*r + r**g + 1/3*r**3 = 0.
-3, 0
Let w(r) be the third derivative of -r**7/70 - r**6/40 + r**5/20 + r**4/8 - 5*r**2. Find v, given that w(v) = 0.
-1, 0, 1
Let l(c) be the first derivative of 3*c**4 + 20*c**3/3 + 2*c**2 - 4*c + 4. Factor l(s).
4*(s + 1)**2*(3*s - 1)
Suppose -15 = -5*u + 5*y, -13 + 36 = 3*u + 4*y. Suppose u*n = n. Factor -2/5 + n*f**3 + 4/5*f**2 - 2/5*f**4 + 0*f.
-2*(f - 1)**2*(f + 1)**2/5
Solve 4/3*i - 2/9*i**2 - 2 = 0 for i.
3
Let r be (-11)/(-55) - 27/(-15). Factor 1/3*f**r + 2/3*f + 0.
f*(f + 2)/3
Let r(k) be the second derivative of k**5/100 + k**4/30 + k**3/30 + 5*k. What is q in r(q) = 0?
-1, 0
Let n(a) be the third derivative of | {
"pile_set_name": "DM Mathematics"
} |
*3 - 4*i**2 + 24*i. Calculate -5*b(p) + 24*f(p).
8*p**3 - 4*p**2
Let a(v) = 2*v**3 + 2*v**2 + 3*v + 1. Let y(l) be the second derivative of -l**5/5 - l**4/3 - 5*l**3/6 - l**2 + 2*l. Let n = 0 + -5. What is n*a(d) - 3*y(d)?
2*d**3 + 2*d**2 + 1
Let p(v) = -v**3 - 3. Let g = -23 + 26. Let r be g - 4 - (7 - 5). Let y(m) = -2. Suppose -4*a + 5 + 3 = 0. Give a*p(c) + r*y(c).
-2*c**3
Let w(v) = 2*v**2 - 3*v - 4. Let a(c) = 3*c**2 - 5*c - 7. Calculate 4*a(y) - 7*w(y).
-2*y**2 + y
Let q(c) = -2*c + 4. Suppose -p - m = -3, 0 = 4*p - 0*p - 5*m - 21. Let h(d) = 0 - 2 - d - d + 5. Determine p*h(j) - 3*q(j).
-2*j
Let b(w) = -3*w + 1. Let y(n) = n**2 + 4*n - 4. Let j be y(-5). Let g be 10/2 + (-3)/j. Let f(t) = -t + 1. Give g*f(i) - b(i).
i + 1
Let b(u) = -3*u + 5. Let v(c) = 4*c - 4. Calculate -4*b(r) - 5*v(r).
-8*r
Let z(j) = -3. Let h(k) be the third derivative of -1/6*k**3 + 0 + 0*k + 1/24*k**4 + 5*k**2. Calculate -3*h(b) + z(b).
-3*b
Let k(v) = 1 + 6*v + v - 12*v. Let n(y) = y - 1. What is k(b) + 2*n(b)?
-3*b - 1
Let w(m) = -7*m**2 - 5*m + 28. Let q(x) = -15*x**2 - 11*x + 57. What is -6*q(z) + 13*w(z)?
-z**2 + z + 22
Let h be 212/44 - 8/(-44). Let k(m) = 5*m**3 - 6*m**2. Let c(t) = -4*t**3 + 5*t**2. What is h*k(u) + 6*c(u)?
u**3
Let c(s) = 3*s - 2*s**3 - 3*s**2 + 4*s**3 + 0*s - 4. Let i(j) be the first derivative of -j**4 + 5*j**3/3 - 5*j**2/2 + 7*j - 2. Determine -5*c(k) - 3*i(k).
2*k**3 - 1
Let q(u) = 4*u. Suppose 0 = t + 2*w + 2 - 9, -4*t + 20 = 4*w. Let y(j) = -t*j + j - 3*j + 4*j. Calculate -q(k) - 3*y(k).
-k
Let u(d) = 8*d**3 - 17*d**2 + 17*d - 14. Let k(j) = -3*j**3 + 6*j**2 - 6*j + 5. Suppose 0 = 4*o - 3*o, 0 = -g - 3*o - 6. What is g*u(n) - 17*k(n)?
3*n**3 - 1
Let n = -161 + 158. Let r(x) = x. Let g(i) be the third derivative of -i**4/4 + i**3/6 + i**2. Calculate n*r(y) - g(y).
3*y - 1
Let f(w) = 7*w**3 - 13*w**2 + 5*w + 5. Let l(z) = -4*z**3 + 6*z**2 - 2*z - 2. Give -2*f(u) - 5*l(u).
6*u**3 - 4*u**2
Let m(v) = -2*v**2 + 8. Suppose 77 = -4*j + 21. Let n be (-18)/j + 14/(-49). Let x = -20 + 28. Let p(z) = -1. Calculate n*m(l) + x*p(l).
-2*l**2
Let f(t) = -4*t**2 + 7*t - 6. Let x(p) = 3*p**2 - 6*p + 5. What is -5*f(u) - 6*x(u)?
2*u**2 + u
Let z = 7 - 13. Let w(o) = 1. Let n(y) = y - 1. Let a(l) = z*n(l) - 13*w(l). Let f(m) = -5*m - 6. Suppose -2*g + 0*g - 14 = 0. What is g*f(k) + 6*a(k)?
-k
Let x(r) = -10*r + 3. Let i be x(1). Let g(k) = 8*k + 17. Let m(y) = 4*y + 8. Let s(v) = i*m(v) + 3*g(v). Let w(u) = 6*u + 7. What is -7*s(t) - 5*w(t)?
-2*t
Let h(f) = 24*f - 2. Let d(m) = 12*m - 1. Determine 11*d(t) - 6*h(t).
-12*t + 1
Let d(o) = 20*o**2 - 17. Let z(c) = 7*c**2 - 6. Let n be 0 - 6/4*8. Let v = -6 - n. What is v*d(i) - 17*z(i)?
i**2
Let m(y) = 3*y. Let t(o) = o. Suppose 4*n - 2*n = 4. Suppose -4*a = -3*c - 14 + 6, -10 = -5*a - n*c. What is a*m(d) - 5*t(d)?
d
Let x(v) = -192*v**3 + 5*v**2. Let u(q) = -288*q**3 + 8*q**2. Give -5*u(m) + 8*x(m).
-96*m**3
Let l = -31 - -33. Let h(t) = 3*t**3 + 13*t**2 - 7. Let j(v) = -v**3 - 4*v**2 + 2. What is l*h(o) + 7*j(o)?
-o**3 - 2*o**2
Let w(b) = 1. Suppose f - 6*f + 30 = 0. Let c = f + -1. Let a(x) be the third derivative of x**4/24 - 7*x**3/6 - 2*x**2. Determine c*w(l) + a(l).
l - 2
Let g(k) be the second derivative of 2/3*k**3 + 3/2*k**2 + 0 - k. Let c(v) = 11*v + 8. Suppose -6*b + 3 = -7*b. What is b*c(p) + 8*g(p)?
-p
Let a(q) be the third derivative of q**5/60 - q**4/12 - q**3/2 + 2*q**2. Let p(i) = -4*i**2 + 8*i + 13. Determine -9*a(u) - 2*p(u).
-u**2 + 2*u + 1
Let m(l) = 11*l**2 + 8*l - 8. Let y = 61 + -53. Let i(a) = -4*a**2 - 3*a + 3. Determine y*i(r) + 3*m(r).
r**2
Let f(v) = -2*v - 4 + 0*v + 3. Let d be f(-2). Suppose d*c + 8 = c. Let a(i) = -i**2 - 5. Let n(s) = s**2 + 4. Determine c*a(j) - 5*n(j).
-j**2
Let n(q) be the third derivative of -q**6/24 + q**5/20 + q**4/8 - q**3/2 + 8*q**2. Let m(c) = c**3 - c**2 - c + 1. Give -3*m(z) - n(z).
2*z**3
Let u(y) = 7*y**3 - 2*y + 3. Let q(v) = 4*v**3 - v + 2. Suppose -12 = -375*t + 373*t. Give t*u(d) - 10*q(d).
2*d**3 - 2*d - 2
Let s = -1 + 4. Suppose -8 = s*k + g - 5*g, 5*k + 23 = -3*g. Let n(m) = -4*m + m + 2 + 2*m - 2*m**2. Let x(o) = -2*o**2 - o + 2. Give k*x(h) + 5*n(h).
-2*h**2 - h + 2
Let z(p) = -p + 1. Let x(j) = 10*j - 14. Suppose -3*v = 2*n - v - 26, v = 2*n - 23. Calculate n*z(s) + x(s).
-2*s - 2
Let t(b) = -3*b - 3. Let a(m) be the first derivative of -3*m**2/2 - 2*m + 19. Calculate -4*a(v) + 3*t(v).
3*v - 1
Let n(w) = w**2 + 2. Let u(h) = 5*h**3 - 5*h**2 - 5*h + 1. Let c(z) = -11*z**3 + 11*z**2 + 11*z - 2. Let j(y) = 6*c(y) + 13*u(y). What is 2*j(x) - n(x)?
-2*x**3 + x**2 + 2*x
Let c(p) = -p - 1. Let h(w) = 2*w + 3. Let j(d) = -6*c(d) - h(d). Let a(f) = -f**2 + 7*f - 5. Let b be a(5). Let i(k) = -3*k - 2. Determine b*i(l) + 4*j(l).
l + 2
Let g(f) = -3*f**2 + 4*f + 1. Let p(m) = -9*m - 8*m - 3 - 1 + 13*m**2 - 1. Calculate 9*g(u) + 2*p(u).
-u**2 + 2*u - 1
Let t(h) = -1. Let r(j) = -j - 4. Let k(p) = -r(p) + 4*t(p). Let n = 3 - 2. Let f(z) = -n - 1 + 2*z + 6*z. Give f(w) - 6*k(w).
2*w - 2
Let r(w) = 11*w - 2. Let q be 1 + (1 - 2 - 6). Let j(h) = -11*h + 2. Let v(t) = q*r(t) - 5*j(t). Let s(d) = 5*d - 1. Determine -13*s(k) - 6*v(k).
k + 1
Let q(x) = 3*x**2. Let l(v) = v**2. Let b(k) = -11*l(k) + 4*q(k). Let u(j) = j**2 - 2*j - 1. Determine -2*b(c) + u(c).
-c**2 - 2*c - 1
Let f(x) = 19*x**2 + 2*x. Let t(c) = c**2. Calculate -f(g) + t(g).
-18*g**2 - 2*g
Let m(i) be the third derivative of 23*i**5/60 - 7*i**3/3 - 7*i**2. Let g(s) = 8*s**2 - 5. What is -17*g(n) + 6*m(n)?
2*n**2 + 1
Suppose -11 - 13 = 4*w. Let s(r) = r. Let b(d) = -d**2 - d - 1. Let h(u) = 2*u**3 + u**2 + 6*u + 1. Let j(f) = b(f) + h(f). Let c = 1 - 0. Give c*j(g) + w*s(g).
2*g**3 - g
Let o(q) = -q**3 + 2*q**3 - 1 + 0. Let j be (-12 + 3)*1/(-3). Let g(t) = 4*t**j + t**3 - 5 - 1. Determine -g(f) + 6*o(f).
f**3
Let l(g) = g. Suppose 5*k + 19 = -0*k - 4*n, 5*k + 10 = 5*n. Let y(j) = -2*j. Determine k*l(x) - y(x).
-x
Let n(a) = 17*a**3 + 6*a**2 - 6. Let j(z) = -33*z**3 - 13*z**2 + 13. Determine 6*j(i) + 13*n(i).
23*i**3
Let m(h) = 3*h + 6. Let n(o) = -o - 1. Determine -m(c) - 4*n(c).
c - 2
Let c(z) = -3*z**3 - 4*z**2 + 3*z - 2. Let l be ((5/(-1))/1)/((-3)/(-3)). Let h(n) = -4*n**3 - 5*n**2 + 4*n - 3. Determine l*c(r) + 4*h(r).
-r**3 + r - 2
Let u(q) = 2*q - 2 + 5*q + 4 - 6*q**2. Let d(b) = -8*b**2 + 3*b + 5. Let j(o) = -9*o**2 + 2*o + 6. Let h(y) = 4*d(y) - 3*j(y). Calculate 5*h(r) - 4*u(r).
-r**2 + 2*r + 2
Let u(n) = -n + 1. Let m(x) = -2*x**2 - x + 1. What is -3*m(l) + 3*u(l)?
6*l**2
Suppose -o + 1 + 0 = -4*h, 0 = 5*h - 4*o + 15. Let l(c) = 1. Let i(z) = 3*z. Let q(u) = i(u) + l(u). Let k(v) = -v - 1. What is h*q(b) + 2*k(b)?
b - 1
Suppose -3 = -6*p + 33. Let i(w) = 21*w**3 - 13. Let d(g) = -10*g**3 + 6. Determine p*i(j) + 13*d(j).
-4*j**3
Suppose 35 = -f - 4*f. Let w(v) = -10*v + 10. Suppose -5 = -0*n - n. Let j(l) be the second derivative of -7*l**3/6 + 7*l**2/2 + 2*l. Determine f*j(r) + n*w(r).
-r + 1
Let o(z) = 8*z**3 + 6*z + 2. Suppose -25 = -4*g - 9. Let h(n) = 2*n**3 + 2*n + 9. Let t(i) = i**3 + i + 4. Let b(u) = g*h(u) - 9*t(u). Determine 6*b(l) + o(l).
2*l**3 + 2
Let a(m) = -2*m + 4. Let t(w) = 3. Let z(b) = 1. Let x(d) = -t(d) + 4*z(d). Let q be (-2)/(-7) + 26/7. Give q*x(p) - a(p).
2*p
Suppose -20 = -5*k + k. Let r(n) = 5 - 4*n - 2 + 2 - 4. Let s(o) be the first derivative of 9*o**2/2 - 2*o + 5. Give k*r(w) + 2*s(w).
-2*w + 1
Let l(a) = 15*a - 6. Let h(x) = -30*x + 11. Determine -4*h(i) - 7*l(i).
15*i - 2
Let f(d) = -d**2 - d + 1. Let i(y) = 45*y - 45. Determine 45*f(o) + i(o).
-45*o**2
Let i(v) = v - 1. Suppose x - 2 = 10. Suppose 0 = -2*b + 4*s + x, 0*s - 22 = 3*b + 2*s. Let p(o) = o - 72 + 70 + 0*o**2 - o**2. What is b*i(q) + 2*p(q)?
-2*q**2 - 2*q
Let m(y) = 13*y**2 + 52*y - 52. Let k(t) = -t + 1. Calculate -52*k(d) - m(d).
-13*d**2
Let f(p) = 13*p - 2. Let q(l) = -66*l + 11. Give -11*f(v) - 2*q(v).
-11*v
Let o(j) = -2. Suppose 4*p + 2*d = 7*d - 4, -3*p + 3*d = 0. Let i(m) = -7 + 0 + m - p. Let h(w) = -6*w - 22. Let t be h(-4). What is t*i(v) - 11*o(v)?
2*v
Let p(h) = h + 3. Let j(t) = 3*t + 6. Let v be (1/3)/((-1)/(-3)). Let y(o) = -o - 1. Let d = 40 - 39. Let a(s) = d*y(s) + v*j(s). Determine 3*a(i) - 5*p(i).
i
Let y(b) = 25*b + 100. Let z(a) = -1. Calculate y(j) + 1 | {
"pile_set_name": "DM Mathematics"
} |
*2 - 95*h + 19. Determine n(-24).
-5
Let a(p) = -p**3 + 36*p**2 - 63*p - 170. What is a(34)?
0
Let j(g) = -g + 4. Determine j(2).
2
Let v(f) = -3*f**3 - 2*f**2 + f. Determine v(1).
-4
Let p(a) = -7*a + 16. Determine p(9).
-47
Let t(l) = l**2 - 17*l - 278. Calculate t(27).
-8
Let b(c) = 128*c + 1415. Give b(-11).
7
Let l(c) = 2*c - 4. Give l(2).
0
Let g(a) = -8*a**2 - 2*a - 1. Give g(-1).
-7
Let x(d) = 41*d + 250. Calculate x(-6).
4
Let h(i) = -2*i**3 - 11*i**2 - 7*i - 8. Calculate h(-7).
188
Let j(a) = -2*a - 2. Give j(-1).
0
Let k(h) = -h - 5. Determine k(5).
-10
Let b(s) = -14*s**2 + 14*s - 5. Calculate b(4).
-173
Let t(j) = -2*j**2 + 16*j - 15. Give t(6).
9
Let z(a) = -7*a**2 - 4*a - 3. What is z(-1)?
-6
Let q(h) = 3*h**2 + 5*h. Determine q(-2).
2
Let h(j) = -2*j**3 - 13*j**2 + 8*j + 4. Give h(-7).
-3
Let f(t) = t**2 + 9*t - 13. Calculate f(-9).
-13
Let v(n) = n**3 - 19*n**2 - n + 23. Give v(19).
4
Let d(q) = -q**3 + 7*q**2 - 6*q + 6. Calculate d(4).
30
Let n(x) = x**3 + 5*x**2 - 6*x. Give n(-6).
0
Let o(u) = 3*u + 27. Give o(-17).
-24
Let h(j) = j**2 - 9*j + 11. Determine h(5).
-9
Let r(y) = -y**2 - 8*y + 12. What is r(-10)?
-8
Let z(s) = s**2 + 4*s - 29. Determine z(-7).
-8
Let i(m) = -13*m + 1. Give i(3).
-38
Let i(m) = m - 12. Give i(4).
-8
Let o(v) = -11*v + 7. What is o(3)?
-26
Let d(y) = 4*y + 8. Determine d(-5).
-12
Let n(y) = 27*y**3 + y**2 + y - 1. Determine n(-1).
-28
Let j(t) = t + 5. Calculate j(-11).
-6
Let p(i) = 21*i**3 + 3*i**2 - 3*i - 2. Determine p(-2).
-152
Let a(p) = -p**3 - 3*p**2 + 27*p + 16. What is a(-7)?
23
Let p(t) = t**2 - 55*t + 1. What is p(55)?
1
Let z(y) = -31*y - 1. Give z(1).
-32
Let v(y) = 2*y**3 - 2*y**2 - 16*y + 4. Calculate v(3).
-8
Let r(k) = k - 9. Give r(-4).
-13
Let j(y) = -6*y - 16. Give j(-5).
14
Let s(m) = m**2 + 4*m + 3. Determine s(-2).
-1
Let b(m) = 10*m - 46. Give b(7).
24
Let n(o) = -280*o + 1951. Determine n(7).
-9
Let l(m) = -2*m**3 + 24*m**2 + 4*m - 26. What is l(12)?
22
Let k(w) = w**3 - 9*w**2 + 10*w - 3. What is k(8)?
13
Let p(c) = c**3 + 3*c**2 - 2*c - 10. Calculate p(-2).
-2
Let r(a) = 6*a**2 - 52*a + 1. Give r(8).
-31
Let v(s) = 4*s**2 - s - 3. Determine v(-3).
36
Let l(o) = o**3 - 26*o**2 - 21. Calculate l(26).
-21
Let y(l) = 5*l**2 - 20*l - 13. What is y(6)?
47
Let y(i) = -i**2 - 17*i - 2. Calculate y(-17).
-2
Let k(l) = -l**2 + 8*l + 1. What is k(3)?
16
Let b(p) = p**3 - p**2 - p + 6. What is b(0)?
6
Let z(p) = p**3 + p**2 + 2*p. Determine z(-3).
-24
Let c(j) = j**3 + 14*j**2 - 29*j + 27. Give c(-16).
-21
Let u(d) = d**2 + 19*d + 68. Give u(-15).
8
Let o(p) = -17*p - 424. Calculate o(-25).
1
Let d(u) = -4*u**2 + 107*u + 138. What is d(28)?
-2
Let z(x) = x**2 - 13*x - 97. Calculate z(-6).
17
Let v(n) = -6*n**2 + 2*n - 2. What is v(1)?
-6
Let n(t) = -t**2 - 4*t - 4. Give n(-5).
-9
Let t(i) = -i**2 + 5*i - 13. Give t(12).
-97
Let i(m) = -m**2 + 9*m - 2. Determine i(7).
12
Let i(p) = -p**2 - 23*p - 2. Calculate i(-23).
-2
Let f(i) = -i + 9. Determine f(0).
9
Let m(f) = 30*f**2 - 4*f - 1. Give m(2).
111
Let m(p) = -21*p + 1. Give m(1).
-20
Let f(i) = i**3 - 9*i**2 - 7*i + 41. Determine f(9).
-22
Let q(g) = -g**3 + 7*g**2 - 11*g + 1. Calculate q(5).
-4
Let b(x) = -x**2 - 12*x - 31. Give b(-10).
-11
Let x(u) = u**2 - 10*u + 2. Determine x(9).
-7
Let c(n) = n**3 - 18*n**2 + 19*n - 16. Determine c(17).
18
Let u(s) = -5*s + 162. Determine u(32).
2
Let q(x) = x**2 - 7*x + 2. Calculate q(11).
46
Let n(k) = k**2 + 5*k + 3. Give n(-4).
-1
Let j(s) = s**3 + 11*s**2 + 19*s + 16. Calculate j(-9).
7
Let m(o) = -4*o + 26. Determine m(-10).
66
Let s(k) = 3*k**2 + 13*k + 9. Give s(-3).
-3
Let s(q) = -7*q**2 - 13*q + 9. Calculate s(1).
-11
Let p(z) = z**3 - 12*z**2 + 18*z - 26. Calculate p(11).
51
Let w(h) = -2*h - 18. Calculate w(-7).
-4
Let p(b) = b**2 + 29*b - 30. What is p(-30)?
0
Let w(d) = d**2 - 12*d + 7. Give w(9).
-20
Let q(p) = -p**2 + 11*p - 23. Calculate q(9).
-5
Let r(i) = 2*i**3 - 63*i**2 - 30*i - 45. What is r(32)?
19
Let a(j) = 2*j**2 - 26*j + 1. Calculate a(16).
97
Let d(u) = -6*u - 35. Determine d(-8).
13
Let j(i) = i**3 - 11*i**2 + 12*i - 10. Determine j(10).
10
Let w(b) = b**3 + 9*b**2 + 12*b. What is w(-8)?
-32
Let f(g) = -g**3 - 13*g**2 - 14*g - 3. Determine f(-11).
-91
Let h(r) = 45*r - 3. Determine h(-1).
-48
Let b(u) = -42*u**2 - 253*u - 8. Give b(-6).
-2
Let z(w) = 21*w + 108. Determine z(-6).
-18
Let o(w) = w - 10. Calculate o(20).
10
Let j(n) = 3*n + 91. Give j(-27).
10
Let v(f) = -f**3 + 5*f - 21. Determine v(0).
-21
Let p(z) = 120*z - 1. Calculate p(1).
119
Let b(a) = a**3 + 2*a - 7. Give b(2).
5
Let h(g) = -g**3 + 5*g**2 - 6*g - 6. Calculate h(4).
-14
Let n(o) = 2*o**2 - 6*o - 4. Determine n(5).
16
Let t(r) = r**2 - 11*r + 16. Determine t(10).
6
Let a(x) = 3*x**3 + 5*x**2 + x - 2. Determine a(-2).
-8
Let l(p) = -p**3 - p**2 + 15*p + 26. Determine l(-4).
14
Let j(a) = -3*a - 6. What is j(-4)?
6
Let o(s) = -s**3 - 11*s**2 + s - 1. What is o(-11)?
-12
Let l(s) = -s**3 + 14*s**2 + 33*s - 264. Give l(15).
6
Let g(p) = p**3 - 18*p**2 + 2. Determine g(18).
2
Let q(d) = d**3 + 22*d**2 + 22*d - 35. Determine q(-21).
-56
Let q(w) = -w**3 + 8*w**2 - 6*w - 7. What is q(7)?
0
Let v(j) = 50*j - 8. Give v(3).
142
Let o(w) = 12*w - 151. What is o(12)?
-7
Let d(f) = 4*f - 26. Determine d(5).
-6
Let b(g) = 2*g**2 + 45*g - 524. What is b(-31)?
3
Let s(x) = -6*x**2 + 16*x. What is s(2)?
8
Let q(d) = -5*d + 3. Give q(-4).
23
Let i(b) = -3*b - 52. Calculate i(-22).
14
Let i(g) = -3*g**2 - 35*g + 21. Give i(-13).
-31
Let f(r) = r**2 + 5*r - 85. Calculate f(-12).
-1
Let d(y) = -y**3 - 11*y**2 - 9*y + 9. Give d(-10).
-1
Let t(f) = -4*f**2 + 7*f + 3. What is t(6)?
-99
Let j(g) = 6*g + 75. Give j(-13).
-3
Let f(k) = -k**2 + 3. Calculate f(5).
-22
Let m(g) = 2*g**2 + 33*g - 24. Determine m(-17).
-7
Let a(b) = b**3 - 18*b**2 - 3*b - 43. Calculate a(18).
-97
Let i(q) = q**3 - 13*q**2 + 34*q + 7. Calculate i(9).
-11
Let s(v) = -v**3 - 6*v**2 - 5*v - 4. Calculate s(-7).
80
Let a(w) = 6*w**3 + 2*w**2 - 2. Give a(1).
6
Let r(l) = l**3 - 14*l**2 + 12*l + 9. Give r(13).
-4
Let j(h) = -h**3 + 7*h**2 + 6*h - 10. Give j(7).
32
Let q(b) = 5*b**2 - 49*b - 8. What is q(10)?
2
Let x(p) = -2*p**2 - 82*p - 70. Give x(-40).
10
Let z(q) = -19*q + 75. Give z(6).
-39
Let x(o) = -o**2 + 32*o - 249. Give x(15).
6
Let l(o) = o**3 - 18*o**2 + 62*o + 124. What is l(12)?
4
Let w(n) = -16*n - 144. Give w(-8).
-16
Let q(j) = -9*j**3 + j**2 - 3*j + 4. Give q(1).
-7
Let s(h) = -h**3 - 7*h**2 + 16*h - 9. Give s(-9).
9
Let v(t) = t**2 - 2*t - 40. Determine v(14).
128
Let a(q) = 5*q + 32. Give a(22).
142
Let y(p) = 3*p**2 + 16*p + 17. Calculate y(-4).
1
Let g(b) = 90*b - 1264. Determine g(14).
-4
Let x(d) = -3*d**3 - 34*d**2 - 13*d - 6. What is x(-11)?
16
Let b(v) = v**3 - 11*v**2 + 25*v - 16. Determine b(8).
-8
Let p(i) = 11*i + 9. Give p(2).
31
Let u(l) = -13*l**3 - l**2 - l + 3. Calculate u(1).
-12
Let s(z) = 2*z**2 + 118*z + 110. Calculate s(-58).
-6
Let n(a) = -a - 8. Give n(-10).
2
Let p(i) = 2*i**2 - 10*i + 4. What is p(7)?
32
Let a(b) = -b + 18. Give a(-14).
32
Let d(z) = -z**3 + 2*z**2 + 9*z - 7. Calculate d(3).
11
Let y(h) = 27*h**3 - h + 2. Give y(1).
28
Let c(q) = q**3 - 2*q**2 - 11. Give c(0).
-11
Let s(r) = r**3 - 27*r**2 + 48*r + 49. Determine s(25).
-1
Let v(o) = -o**3 + o**2 - o - 5. What is v(0)?
-5
Let f(q) = -7*q - 52. What is f(-13)?
39
Let h(a) = -a**3 + 8*a**2 - 10*a - 14. Calculate h(6).
-2
Let o(s) = s + 17. Give o(12).
29
Let k(b) = 7*b - 6. Calculate k(-1).
-13
Let m(r) = r**2 + 12*r + 10. Determine m(-5).
-25
Let d(m) = 20*m - 438. Calculate d(22).
2
Let v(s) = 3*s - 14. Calculate v(6).
4
Let f(b) = -13*b**2 - 37*b + 2. Calculate f(-3).
-4
Let x(m) = 3*m**2 - 20*m - 13. Give x(7).
-6
Let z(h) = h**3 - 2*h**2 - 2*h - 12. Give z(0).
-12
Let h(v) = v**2 + 30*v - 9. What is h(-8)?
-185
Let k(s) = -3*s**3 + 62*s**2 - 39*s - 40. Give k(20).
-20
Let q(b) = b**3 + 12*b**2 + 13*b + 17. Determine q(-11).
-5
Let x(y) = -y**2 + 7*y - 8. Determine x(3).
4
Let n(y) = -y**3 - 10*y**2 - 13*y - 31. Give n(-9).
5
Let d(k) = -2*k**2 + 31*k - 8. What is d(15)?
7
Let v(n) = 3*n**3 + n**2 + n. Calculate v(-1).
-3
Let f(w) = -w**3 + 9*w**2 - 19*w - 1. What is f(4)?
3
Let b(h) = h**2 - 7. Give b(5).
18
Let r(z) = -9*z - 12 | {
"pile_set_name": "DM Mathematics"
} |
q
Let g = 8.2 - 9. Let t = g - 4.2. Sort t, -2/7, 2 in increasing order.
t, -2/7, 2
Let s = -1 + 0.9. Sort 0.4, s, 4 in decreasing order.
4, 0.4, s
Let z = 7 + -3. Suppose -15 = -z*n - 7. Sort 3, -4, n in increasing order.
-4, n, 3
Suppose 0 = -o - 3*o + 24. Suppose 0*a + 6 = 2*a - 3*y, 4*y = -2*a + o. Let x(c) = c - 4. Let m be x(8). Put 5, m, a in ascending order.
a, m, 5
Let a = -8 + 17. Suppose -a*m + 20 = -4*m. Put m, -4, 2 in ascending order.
-4, 2, m
Let c be (-8)/36 - 13/9. Sort c, 0.1, -2, -0.06.
-2, c, -0.06, 0.1
Let s = 2 + -1.9. Let n = 24.49 + 0.51. Let h = n - 30. Sort s, h, -0.06.
h, -0.06, s
Let u = 0.7 + 1.3. Let m = -2.2 - -0.2. Sort -3/4, u, m.
m, -3/4, u
Let x = -0.1 + 0.6. Let n = -18940/1183 + 50/169. Let t = -16 - n. Sort x, 2/5, t in descending order.
x, 2/5, t
Let x(y) = -5*y - 15. Let o be x(-3). Put -2, 5, 3, o in decreasing order.
5, 3, o, -2
Let x(i) = -i - 2. Let h be x(6). Let s(q) be the third derivative of -q**6/120 - 2*q**5/15 + 5*q**3/6 + q**2. Let k be s(h). Put 0.3, 4, k in increasing order.
0.3, 4, k
Let u = 12 - 17. Sort 3/2, -3, -4, u.
u, -4, -3, 3/2
Suppose -k + 5*g - 9 = 0, 4*g - 4 = 3*k + 1. Let x be -2 + 3 + k + 1. Sort x, 4, -0.3 in descending order.
4, x, -0.3
Let d = 0.03 - 0.07. Let q = 0.04 + d. Sort q, 3, -0.3 in increasing order.
-0.3, q, 3
Let h(l) = -3*l - 10. Let y be h(-4). Put 5, y, 4 in increasing order.
y, 4, 5
Let m = -2.9 - 1.1. Put -3, m, 5 in decreasing order.
5, -3, m
Let o(x) = x**3 + 7*x**2 + 8*x - 5. Let t be o(-5). Put 2, t, 1, 4 in decreasing order.
t, 4, 2, 1
Let g = 4.895 - -0.105. Sort 4, g, 2/7, -5 in decreasing order.
g, 4, 2/7, -5
Let t = -183 + 199.6. Let o = t + -18. Let k = 0.4 + o. Sort -0.3, k, -5 in descending order.
-0.3, k, -5
Let t = 15 + -11. Let h be (-6)/(-21) - (-226)/(-7). Let p be (6/h)/(1/4). Put p, t, -4 in increasing order.
-4, p, t
Let b = -9 + 14. Suppose m - 3 = -b. Sort 4, m, -5 in decreasing order.
4, m, -5
Suppose -3 = l - u, -4*l - 4*u = -7*u + 8. Put 0.1, -0.4, 4, l in descending order.
4, l, 0.1, -0.4
Let m be (-8)/28 - (-36)/28. Put -3/4, m, 11/6, 5 in increasing order.
-3/4, m, 11/6, 5
Let d = -25 + 28. Put -3, -1, d, 2 in increasing order.
-3, -1, 2, d
Let f = 10 + -15. Put f, -1, -2/7, 3 in decreasing order.
3, -2/7, -1, f
Let h be 0 - (1/2 - 2). Let x be (-40)/238 - (5 + (-333)/63). Put -5, x, h in decreasing order.
h, x, -5
Let x = -23 + 18.3. Let y = -5 - x. Let z be 3/(-30) - 1/2. Put z, y, 1/3 in descending order.
1/3, y, z
Let a = 7.4 - 7. Put a, 1/5, -3 in descending order.
a, 1/5, -3
Let c = -95 + 1043/11. Let m = -4.8 + 0.8. Put m, 5, c in descending order.
5, c, m
Let z = 59 + -55. Put 0, z, -3 in decreasing order.
z, 0, -3
Suppose -5*u = -p - 0*u + 4, 4*u - 16 = -4*p. Let o(i) = -i**2 + 6*i - 4. Suppose 9 - 2 = j + 4*z, 0 = z - 1. Let h be o(j). Sort -4, h, p.
-4, p, h
Let z be -1*1 + (-1)/1. Let o = 0 - 4. Put z, 1, o in descending order.
1, z, o
Let k(l) = l**3 - l**2 - l. Let t be k(0). Suppose 3*p = -t*p + 12. Suppose -p = g - 0. Put 1, 2, g in ascending order.
g, 1, 2
Suppose 7 = 6*v - 5. Suppose 13 = 2*c + 3*h - v, -h = -c. Sort -2, c, -5 in increasing order.
-5, -2, c
Let z = 91/66 + 4/33. Let r = 1 - z. Sort r, -1/6, 3/4 in descending order.
3/4, -1/6, r
Let m = -1 - -1. Let b be 2*(-3)/6*m. Let t = -4 + 6. Put t, 1, b in ascending order.
b, 1, t
Let i = 0.3 + -0.2. Let c = -148/585 - -2/65. Let r = -176/427 - 1/61. Sort r, c, i in decreasing order.
i, c, r
Suppose t + 8 = 3*t. Suppose 5*k + t = 9. Sort 2, 5, k.
k, 2, 5
Suppose -7*u + 8 = -3*u. Let c(m) be the second derivative of m**3/6 - 4*m**2 + 6*m. Let v be c(13). Put u, 1, v in ascending order.
1, u, v
Let f = 5/12 + -3/4. Let x = -140.8 + 141. Sort -0.1, x, f in decreasing order.
x, -0.1, f
Suppose w - 51 = -14. Suppose -d = -3*h - 11, -d + 5*h = -4*d - w. Let b be 32/(-14) - 10/(-35). Put d, b, 2 in descending order.
2, b, d
Let j be (1/8)/(72/480). Suppose 2*c + 25 = -3*c. Sort j, c, 3/7 in decreasing order.
j, 3/7, c
Suppose -4*b - 14 = -0*s - 2*s, -s = 5*b + 28. Suppose -4*q = -5*q - 2. Let p be (-5)/(1/(q + 3)). Sort s, p, 1 in decreasing order.
1, s, p
Let n = -1 - -2. Let i(l) = -l**3 - 2*l**2 + 1. Let w be i(-1). Sort n, 3, w.
w, n, 3
Let j be (1/3)/((-1)/12). Put 3, j, 4 in descending order.
4, 3, j
Let r = -1.042 - -0.042. Let o = -0.8 + 5.8. Sort -3, o, r in decreasing order.
o, r, -3
Suppose 5*x - 3 = z, z - 12 = -4*x + 5*z. Let g be 7 + -4 - (x - 1). Put 3, g, -2 in descending order.
g, 3, -2
Let g be ((-8)/(-3))/(2/3). Suppose 3*r = -g*a - 5, -a = r + r. Let j = 6/31 + -29/310. Sort -5, r, j.
-5, j, r
Let t = 104.3 + -104. Put -0.3, 1, t in decreasing order.
1, t, -0.3
Suppose r - 3*r - 4*k - 24 = 0, -5*r - 42 = k. Let w = -5 - r. Sort w, 2, 4 in decreasing order.
4, w, 2
Let u = 0.018 + 0.002. Sort -3, -0.2, 3, u in descending order.
3, u, -0.2, -3
Let m(p) be the third derivative of 2*p**2 + 0 + 2*p**3 - 1/2*p**4 - 1/60*p**5 + 0*p. Let y be m(-13). Sort y, -4, 0 in increasing order.
-4, y, 0
Let s = 13 + 10. Let x = -14 + s. Let d(w) = w**3 - 9*w**2 + w - 8. Let p be d(x). Put -5, p, 3 in ascending order.
-5, p, 3
Let l = 6 + -6. Suppose 5*h = 5*n + 10, 4*h + 7 = -n - l. Sort n, -2, 5 in decreasing order.
5, -2, n
Let t = 71350 - 645263/9. Let r = t + 347. Put -2/7, -0.5, r in increasing order.
-0.5, -2/7, r
Let j = -0.05 - -3.05. Let r = -9 + j. Let n = -5.5 - r. Put -0.4, n, 5 in descending order.
5, n, -0.4
Let k = 2.9 + -4. Let j = 2.9 - k. Put 2, 1/3, j in descending order.
j, 2, 1/3
Suppose 4*v - 1 = -5*g + 3, 0 = 3*v - g - 3. Sort -7, v, -3 in increasing order.
-7, -3, v
Let n be ((-9)/(-4))/((-3)/(-8)). Suppose 9*v + n = 12*v. Put 0, -1, v in descending order.
v, 0, -1
Suppose 20 = -6*n + 2. Sort -1, 3, n.
n, -1, 3
Let m be (4 + 1 - 1)/1. Suppose -a + m = 3*a. Sort a, -6, 3.
-6, a, 3
Let w = -46 - -46. Sort 6, w, 1 in increasing order.
w, 1, 6
Let g(w) = -4*w**3 + w. Let l be g(-1). Suppose -4*k - j - l*j + 12 = 0, 0 = -5*k - 3*j + 13. Sort k, 4, 0.
0, k, 4
Let h = 2.25 - 2.45. Let i = -2/9 - 5/18. Put -3, i, h in increasing order.
-3, i, h
Let v = -11.9582 - -0.0282. Let c = v - -12. Let i = -0.07 + c. Put 5, -4, i in increasing order.
-4, i, 5
Suppose -5*g - 5*f = 10, -39 = -g + 3*g - 5*f. Sort 4, -5, g in decreasing order.
4, -5, g
Let n = 0.8 + -0.5. Sort -0.07, n, 5.
-0.07, n, 5
Let g(b) = 3*b - 2. Let l be (-2)/(-2) + 0 + 1. Let d be g(l). Sort -2, 5, d in ascending order.
-2, d, 5
Let v = -5.6 + 5. Let d = v - -0.4. Put d, 2/3, 0.3 in descending order.
2/3, 0.3, d
Let p be 5 - ((-4)/(-6) - 8/(-24)). Suppose o + q + 1 = 0, o + 0*q = -4*q + 2. Sort 2, o, p in descending order.
p, 2, o
Let g = 4.0538 - 0.0238. Let l = 0.03 - g. Sort 5, -1, l in ascending order.
l, -1, 5
Let b = -7 - -2. Let q(l) = l**2 + 13*l - 18. Let z be q(-14). Let c(j) = j + 11. Let m be c(-10). Sort b, z, m in decreasing order.
m, z, b
Let a be (-33 - -1)/4 + 15/3. Let b(d) = -2*d + 3. Let u be b(4). Put 0, u, a in descending order.
0, a, u
Let y(h) = -h**2 - 4*h - 5. Let g be y(-2). Put g, 2/3, 4 in decreasing order.
4, 2/3, g
Let l = -4 + 1. Let n = 63.5 - 64. Put l, n, -4 in descending order.
n, l, -4
Suppose 3*x - 17 = 5*i, -4*x - 4*i + 2*i = 12. Let s = 5 + 0. Put 0, s, x in descending order.
s, 0, x
Let g = -56.1 - -56. Put -2/7, 1, g, 0.08 in descending order.
1, 0.08, g, -2/7
Let b = -2.3 + 2.35. Suppose 2*v + 3*d + 8 = 0, 4*v + 4*d + 11 = -5. Sort b, 0.2, v in decreasing order.
0.2, b, v
Suppose -2*n = -4*d + 12, n = -3*d + 2 + 2. Sort -5, -3, d in descending order.
d, -3, -5
Let t be -9 + -1 + 0 + 4. Sort t, -2/13, 0.2.
t, -2/13, 0.2
Let s be (-11)/4 - 1/4. Let o(u) = -u**3 - 4*u**2 - 3*u - 4. Let q be o(s). Let k be (2 + q)/(2/(-3)). Put k, -5, 2 in decreasing order.
k, 2, -5
Let q be (20/((-16)/4))/(-1 - 0). Put 4, q, -3, 2 in decreasing order.
q, 4, 2, -3
Let m = -2465/7 + 353. Put 2/9, m, 0.1 in descending order.
m, 2/9, 0.1
Let b = -9 - -8.92. Let t = 0.07 + b. Let k = t + 3.01. Put 0, 2, k in ascending order.
0, 2, k
Let m(n) = n**3 - n**2 - 4*n + 1. Let c be m(0). Put -2, c, -3 in descending order.
c, -2, -3
Let i = 0 - 0.3. Let v = -10 - -14. Suppose -3*z = 2*y + 11, 5*y + v*z = z - 5. Put -2, y, i in increasing order.
-2, i, y
Suppose 2*p = | {
"pile_set_name": "DM Mathematics"
} |
4*b. Let j(c) be the second derivative of l(c). Determine j(q(t)).
-3*t**2
Let d(z) be the third derivative of z**6/40 + 13*z**3/6 - 18*z**2. Let s(n) be the first derivative of d(n). Let u(b) = -2*b**2. Give s(u(j)).
36*j**4
Let r(m) = -2*m - 6. Let n(h) be the first derivative of h**2 + 4*h + 44. Let j(c) = -3*n(c) - 2*r(c). Let o(d) = 115*d. Give j(o(l)).
-230*l
Let v(y) = -4*y. Let t(k) = 3173*k - 1. Determine t(v(r)).
-12692*r - 1
Let d(v) = v**2. Let p(x) = -122609*x. Determine d(p(b)).
15032966881*b**2
Let r(z) be the third derivative of z**4/12 + z**3 + 8*z**2 - 6*z. Let v(k) = 4*k**2. Give v(r(l)).
16*l**2 + 96*l + 144
Let q(o) = -o**2. Suppose 2*d - 2 = -6. Let b be 2*(-1)/d*77. Let k(s) = 5*s + 2. Let g(t) = 189*t + 77. Let y(a) = b*k(a) - 2*g(a). Calculate y(q(h)).
-7*h**2
Let t(j) = -204*j. Let u(s) = 29*s. Let o(h) = -2*t(h) - 15*u(h). Let b(g) = 4*g. Let z(k) = -k. Let q(y) = -b(y) - 2*z(y). What is q(o(v))?
54*v
Let h(t) = 1. Let m(s) = 88*s - 42*s - 45*s - 6. Let p(i) = 6*h(i) + m(i). Let v(b) = -21*b. Calculate v(p(d)).
-21*d
Let w(a) = -4*a**2. Let h(d) be the second derivative of d**3 + 11*d - 2. What is h(w(q))?
-24*q**2
Let u(o) = 38*o - 22. Let z(y) = -20*y + 12. Let f(n) = 6*u(n) + 11*z(n). Let j(q) = -10*q**2. Give j(f(s)).
-640*s**2
Let n(u) = u**2. Let y(x) be the third derivative of -x**6/36 + 4*x**3/3 + 14*x**2. Let k(v) be the first derivative of y(v). What is n(k(i))?
100*i**4
Let m(v) = -15*v**2. Let l(i) be the third derivative of i**7/5040 + i**5/6 - 8*i**2. Let t(o) be the third derivative of l(o). Calculate t(m(f)).
-15*f**2
Let z(x) = x + 2 - 3*x - 2. Let p(i) = 0*i - 6 - 7*i**2 - 3*i - 3*i - i**2. Let c(q) = 17*q**2 + 13*q + 13. Let o(u) = 6*c(u) + 13*p(u). Determine o(z(r)).
-8*r**2
Let a(z) = 5*z - 8 - 2*z + 8 - z. Let i(h) = 11*h**2. What is a(i(g))?
22*g**2
Let g(t) be the third derivative of -29*t**5/120 + 13*t**3/6 + 11*t**2. Let h(d) be the first derivative of g(d). Let k(p) = -p**2. Calculate k(h(c)).
-841*c**2
Let v(s) = -27*s. Let z(x) be the third derivative of x**6/720 + 19*x**4/24 - 42*x**2. Let o(g) be the second derivative of z(g). Give v(o(k)).
-27*k
Let h(u) = 22*u**2. Let b(c) be the second derivative of -2*c**4/3 - 164*c. Give h(b(l)).
1408*l**4
Let d(k) = -60170*k**2. Let l(a) = -a**2. What is d(l(x))?
-60170*x**4
Let r(q) = -9*q**2 + 6*q**2 - 3*q**2. Let w(n) be the first derivative of 5 - 6 - 2 - n**3. Determine w(r(i)).
-108*i**4
Let c(g) = -195*g**2 + g. Let v(l) be the second derivative of l**3/3 - 11*l + 12. What is v(c(z))?
-390*z**2 + 2*z
Let n(u) = -2*u**2 + u**2 - 2*u**2. Let s(w) = -w**2 - w. Let h(g) = -6*g**2 - 5*g. Let x(m) = -h(m) + 5*s(m). What is n(x(y))?
-3*y**4
Let o(f) = -f + f + 2*f. Let l(s) be the third derivative of -s**6/90 + 7*s**3/3 - 19*s**2. Let b(h) be the first derivative of l(h). Give b(o(p)).
-16*p**2
Let w(j) = 0 + 2*j**2 + 0. Let v(x) = -6*x**2 + 5*x + 5. Let y = -51 - -45. Let n(c) = 7*c**2 - 6*c - 6. Let b(m) = y*v(m) - 5*n(m). Calculate w(b(g)).
2*g**4
Let k(x) = 1 + 29*x**2 - 1 - 31*x**2. Let z(n) = 26*n**2 + 2*n. Determine z(k(c)).
104*c**4 - 4*c**2
Let b(o) = o. Let t(u) = -11*u - 5498. Calculate b(t(v)).
-11*v - 5498
Let g(m) = 3*m**2 - 2*m**2 + 0*m**2. Let a be ((-20)/(-6))/((-28)/(-126)). Let j(q) = -7*q**2 + 20*q**2 - a*q**2. What is j(g(s))?
-2*s**4
Let z(i) = 2 - i - 2 + 0*i. Let k(v) be the first derivative of 5*v**3/3 - 9. Determine z(k(g)).
-5*g**2
Let v(n) = -15*n**2 - 14*n. Let d(g) = 14*g**2 + 13*g. Let k(m) = -4*d(m) - 3*v(m). Let h(j) = j. Calculate h(k(i)).
-11*i**2 - 10*i
Let u(g) be the third derivative of -5*g**4/12 - g**2 + 40*g. Let x(p) = -27*p**2. Calculate x(u(h)).
-2700*h**2
Let a(i) = -526*i. Let m(b) = 336*b**2. Calculate m(a(k)).
92963136*k**2
Let g = -2 - -4. Let b = 506 - 402. Let c(q) = b - g*q - 104. Let t(u) = -5*u. Give t(c(n)).
10*n
Let r(g) = 6*g. Let j(i) be the second derivative of 35*i**3/6 - 2*i - 28. Give r(j(a)).
210*a
Let a(l) = -15*l. Let t(z) = -1076*z**2 + 86*z. Calculate t(a(c)).
-242100*c**2 - 1290*c
Let d(t) = 8*t + 5. Let f(x) = -12*x - 8. Let y(v) = 8*d(v) + 5*f(v). Let g(n) = 192122*n + 192123*n - 384252*n. What is y(g(z))?
-28*z
Let p(o) = 19175*o - 1. Let n(q) = -2*q. What is n(p(i))?
-38350*i + 2
Let r(i) be the second derivative of i**2/2 - 5*i. Let g(p) = 2*p - 3. Let o(c) = g(c) + 3*r(c). Let f(l) = 9*l**2. Give f(o(y)).
36*y**2
Let i(m) = -27*m - 11. Let w(t) = -5*t - 2. Let n(h) = -2*i(h) + 11*w(h). Let s(p) = -p. Give n(s(z)).
z
Let m(v) = v**2 + v + 1. Let i(p) = -2*p**2 - 3*p. Let z(a) = 2*i(a) + 6*m(a). Let k(w) be the first derivative of z(w). Let q(d) = 3*d**2. Calculate k(q(b)).
12*b**2
Let z(c) = -34*c**2 + 34*c - 34. Let x(w) = -w**2 - w + 1. Let i = -8 - -9. Let g(u) = i*z(u) + 34*x(u). Let k(s) = -s. Determine g(k(q)).
-68*q**2
Let s(c) = 8249*c. Let q(o) = -7*o**2. Calculate q(s(v)).
-476322007*v**2
Let f(w) = -611*w. Let r(d) = 6*d + 5. Calculate r(f(b)).
-3666*b + 5
Let g(a) = 6*a. Let p be 4/(-6) + 4/6. Suppose -2*c - 4*v + 4 = -0*v, -v = 1. Let d(q) = 0*q**2 - c*q**2 + 2*q**2 + p*q**2. Calculate d(g(b)).
-72*b**2
Let f(b) = b**2. Let a(x) = 30*x**2 - 65*x - 2. Determine a(f(r)).
30*r**4 - 65*r**2 - 2
Let u(v) be the first derivative of 2*v**3/3 + 101. Let f(c) = 59*c. Determine f(u(m)).
118*m**2
Let o(c) be the second derivative of -c**4/6 + 3*c - 12. Suppose 2 = -2*h + h - 2*q, -h = -3*q - 13. Let l(g) = -2*g + 0*g + h*g. Determine l(o(j)).
-4*j**2
Let z(q) = -1 + 10*q**2 + 1. Let w(s) be the first derivative of 2*s**2 + 480. Calculate z(w(t)).
160*t**2
Let t(r) be the second derivative of 25*r**3 - 574*r. Let d(n) = n. Determine d(t(c)).
150*c
Let w(h) = -248*h**2 + 13. Let o(f) = 2*f - 8. Give o(w(l)).
-496*l**2 + 18
Let c(y) be the second derivative of -y**3/2 - y - 3. Let o(a) = 3 - 2 + 8*a**2 - 1. What is o(c(q))?
72*q**2
Let n(g) be the first derivative of -4*g**3/3 + 113. Let i(h) = 190*h. Give n(i(s)).
-144400*s**2
Let j(z) = 2*z**2 + 28*z + 24. Let x(u) = -u**2 + u - 4. Let n(o) = j(o) + 6*x(o). Let s(q) = 6*q. Calculate s(n(a)).
-24*a**2 + 204*a
Let i(d) = 17202 - d - 17202. Let t(c) = 5*c**2 + 29*c. Calculate t(i(o)).
5*o**2 - 29*o
Let s(i) = -205*i**2 + 10*i + 1. Let z(d) = 28*d. Calculate z(s(x)).
-5740*x**2 + 280*x + 28
Let r(v) = -8*v. Let s(p) = 2*p - 3. Let n(u) = 4. Let o(a) = 1. Let b(m) = n(m) - 3*o(m). Let z(c) = -3*b(c) - s(c). What is z(r(h))?
16*h
Let q(v) = -131*v**2. Let j(t) = 1506*t**2. Give j(q(d)).
25844466*d**4
Let x(j) = -4*j. Let f(o) = -16*o**2 + 91*o. Calculate f(x(k)).
-256*k**2 - 364*k
Let q(g) = -6*g - 10. Let b(y) = 726*y + 1. Calculate b(q(h)).
-4356*h - 7259
Let f(h) = 8*h. Suppose -4*g - 2 + 10 = 0. Let d(a) = -25*a - a**g - 27*a + 52*a. Give d(f(k)).
-64*k**2
Let o(y) = 3*y. Suppose 3*t + 3 - 14 = r, 4*r + 52 = 4*t. Let p(f) = 8*f. Let z(m) = r*o(m) + 5*p(m). Let q(d) = -12*d**2. Determine q(z(n)).
-48*n**2
Suppose 5*p = 3*z + 1 + 7, 0 = -4*z - 2*p + 24. Let s(f) = 0*f**2 + z*f**2 - 6*f**2. Let o(d) = -12*d**2. Calculate s(o(m)).
-288*m**4
Let m(x) = -3*x**2 - 5*x + 5. Let b(l) = l - 1. Let z(s) = 5*b(s) + m(s). Let k(h) = -11*h. What is z(k(a))?
-363*a**2
Let t(o) = -2143790 + 2143790 + o. Let u(d) be the third derivative of -d**5/60 - 2*d**2. Calculate t(u(x)).
-x**2
Let v(p) = -4 - 7*p + 10*p + 4 + 38*p. Let a(s) = -23*s. Determine a(v(j)).
-943*j
Let b(i) = 4*i. Let m be (-498)/4*(-62)/93. Let w(y) = 83*y + 4*y**2 - m*y. Determine b(w(h)).
16*h**2
Let o(w) = -87*w**2. Let m(c) be the second derivative of c**4/12 + 59*c. Give m(o(b)).
7569*b**4
Let q(p) = -3*p**2. Let v(n) = 4037320*n. Determine q(v(a)).
-48899858347200*a**2
Let c(u) = u. Let s be 19/5 - (-6)/30. Suppose 9*v - 15 = s*v. Let z(w) = v*w**2 - 176 + 176. What is c(z(q))?
3*q**2
Let h(b) = b. Let j(p) be the second derivative of 0 - 32*p - 62/3*p**3 + 0*p**2. Give j(h(c)).
-124*c
Let q(h) = -h**2 - 2. Let d be (-2)/3 + (-80)/60. Let v(x) = x**2 + 1. Let m(w) = d*v(w) - q(w). Let n(l) = -28*l. Determine m(n(y)).
-784*y**2
Let c(t) = t - 1. Let f(s) = -57*s + 76. Let y(j) = -76*c(j) - f(j). Let v(u) = -11*u. Determine y(v(o)).
209*o
Let b(c) = -2*c**2 + 588. Let u(p) = 2*p - 164. What is b(u(a))?
-8*a**2 + 1312*a - 53204
Let o(b) = -2*b**2. Let l(j) be the firs | {
"pile_set_name": "DM Mathematics"
} |
). Determine i*j(d) - l(d).
-5*d
Let k(j) = -6*j. Let c(u) = 7*u. Let r = 21 + -13. Suppose -4*a = -r, 5*m + 1 + 15 = -2*a. Calculate m*k(n) - 3*c(n).
3*n
Let q(f) = -9*f - 9. Let j be (24/(-18))/(4/(-6)). Let r(a) = 4*a + 3*a - 7*a - j - 2*a. Suppose -12 = 3*k + 6. Calculate k*q(o) + 26*r(o).
2*o + 2
Let w(o) = -o**2 + 10*o - 3. Let c(p) = -3*p**2 + 29*p - 8. What is 6*c(u) - 17*w(u)?
-u**2 + 4*u + 3
Let f(p) = -34*p + 1. Let i(m) = 33*m - 1. Calculate 4*f(y) + 3*i(y).
-37*y + 1
Let f(w) = -4*w**2 + 3*w + 4. Let n(u) = -12 + 9 - 2*u**2 - 3*u + 4*u**2 + u**2. What is 2*f(d) + 3*n(d)?
d**2 - 3*d - 1
Let a = 9 + -6. Let v(g) = 3*g**2 - 9*g + 3. Let t = -18 - -21. Let l(y) = 2 + 0*y + 4*y - y**2 - t. Calculate a*v(n) + 7*l(n).
2*n**2 + n + 2
Let d(i) = i**3 - i**2. Let h(f) = 2*f**3 - f**2 + 3*f - 2. What is -d(v) + h(v)?
v**3 + 3*v - 2
Let w(c) = c. Let z(f) = 4*f + 1. Let y = 127 + -124. Calculate y*w(u) - z(u).
-u - 1
Let d(r) = 4*r**3 - 7*r**2 - 7. Let c = 9 + -2. Suppose 6*t = 5*t + c. Let j(b) = -3*b**3 - 2 + 5*b**2 + 1 + 6. Calculate t*j(a) + 5*d(a).
-a**3
Suppose -5*x + 70 = 5*b, 5*b + 6 = 3*x + 4. Let t(i) = i - 4. Let m be t(x). Let a(z) = -8*z - m - 3*z + 2. Let h(c) = -7*c - 2. Determine -5*a(o) + 8*h(o).
-o - 1
Let w(d) = d + 1. Let l(f) = -f - 2. What is -4*l(k) - 6*w(k)?
-2*k + 2
Let l(k) = 4*k**3 + k**2 + 4. Let j(i) = -4*i**3 + 3*i**2 + 3*i**3 - 2 - 2*i**2 + 1. Give 2*j(u) + l(u).
2*u**3 + 3*u**2 + 2
Let u(b) = -b**3 - b**2 - 1. Let k(r) = 8*r**3 + 5*r**2 - 2*r + 5. Determine -k(f) - 5*u(f).
-3*f**3 + 2*f
Let p(a) = -7*a**3 - 5*a**2 + 52*a. Let x(o) = 6*o**3 + 4*o**2 - 53*o. Calculate -4*p(i) - 5*x(i).
-2*i**3 + 57*i
Let d(t) = -36*t**2 + 4. Let o(q) = -1. Give -d(a) - 5*o(a).
36*a**2 + 1
Let r(o) = o - 6. Let h = 7 - 9. Let p(c) = -2. What is h*r(u) + 7*p(u)?
-2*u - 2
Let a(g) = 13*g**3 - 5*g**2 - 8. Let f(d) = 32*d**3 - 12*d**2 - 20. What is 12*a(b) - 5*f(b)?
-4*b**3 + 4
Let v(t) = -2*t**3 - 5*t + 14. Let j(q) = q**3 + 4*q - 13. What is -3*j(d) - 2*v(d)?
d**3 - 2*d + 11
Let b(w) = -8*w**3 - 10*w**2 + 4*w + 8. Let q(k) = k**3 + k**2 - 1. Calculate b(x) + 10*q(x).
2*x**3 + 4*x - 2
Let r(k) = k**2 + k + 1. Let z(a) = -4*a**3 - 3*a**2 - 3*a - 3. What is 6*r(n) + 2*z(n)?
-8*n**3
Let z(x) = -2*x**3 - 7*x**2 + 6*x + 11. Let y(f) = -f**3 - 4*f**2 + 3*f + 6. Determine -7*y(s) + 4*z(s).
-s**3 + 3*s + 2
Let a(m) = m + 7. Let p be a(3). Let x(i) = i**2 + 3*i + 3. Let b(l) be the first derivative of -2*l**3/3 - 5*l**2/2 - 5*l + 1. What is p*x(w) + 6*b(w)?
-2*w**2
Let t(g) = 1 - 4 + 5*g**2 + 3*g**3 - 20*g**3. Let f(w) = -92*w + 1 + 3*w**3 - 2*w**2 + 92*w + 3*w**3. Calculate -11*f(n) - 4*t(n).
2*n**3 + 2*n**2 + 1
Let n(j) = -3*j - 2. Let k(d) = 16*d + 11. Let v(o) = 2*k(o) + 11*n(o). Let h(f) = 4*f**2 + 12*f. What is h(b) + 12*v(b)?
4*b**2
Let s(f) = -2*f**2 - 9*f - 5. Let r(i) = i + 1. Determine 4*r(a) + s(a).
-2*a**2 - 5*a - 1
Let z(a) = 22*a**2 - 7*a + 7. Let i(p) = 11*p**2 + 11*p**2 + 2 - 15*p**2 - 2*p. Calculate 7*i(h) - 2*z(h).
5*h**2
Let a(w) be the first derivative of w**4/4 + w**3/3 - w**2/2 + w - 6. Let s(q) = 3*q**3 + 4*q**2 - 5*q + 5. Determine -4*a(v) + s(v).
-v**3 - v + 1
Let h(i) = 6*i**3 + 2*i**2 + 4. Let c(x) = x**3 + x**2 + 1. Determine -4*c(y) + h(y).
2*y**3 - 2*y**2
Let c(x) = -1 + 2 + 8*x**2 - 2 + 2*x. Let o(i) = 17*i**2 + 4*i - 2. Let g be 5*(0 - (-2)/5). Let n be g*13*(-2)/4. Calculate n*c(t) + 6*o(t).
-2*t**2 - 2*t + 1
Let d(h) = -51*h**2 + 30*h - 30. Let g(u) = -5*u**2 + 3*u - 3. Let n(f) = -2*d(f) + 21*g(f). Let i(a) = -a**2 + a - 1. Give 10*i(q) - 4*n(q).
2*q**2 - 2*q + 2
Let q(d) = 2. Let s(g) = 1. Let o(z) = -6*q(z) + 13*s(z). Let v(n) = 2*n + 7. Give -5*o(f) + v(f).
2*f + 2
Let z(a) = 8*a**2 + 4*a - 1. Let x(c) = 7*c**2 + 3*c - 1. Give 3*x(f) - 2*z(f).
5*f**2 + f - 1
Let r(h) = -21*h**2 + 31*h + 5. Let n(z) = -4*z**2 + 6*z + 1. Determine 11*n(f) - 2*r(f).
-2*f**2 + 4*f + 1
Let n(c) = 2*c**2 + 3*c - 1. Let i be 1/(1 + 2*-1). Let h = 6 + -2. Let o(w) = w - h - 2 + 5. What is i*n(m) + 2*o(m)?
-2*m**2 - m - 1
Let m(x) = 4*x**2 - 41*x + 11. Let y(c) = 2*c**2 - 20*c + 5. Give -6*m(h) + 13*y(h).
2*h**2 - 14*h - 1
Let c(d) = 9*d**2 + 17*d - 11. Let h(q) = -7*q - 15. Let p be h(-4). Let r(t) = -4*t**2 - 8*t + 5. Calculate p*r(y) + 6*c(y).
2*y**2 - 2*y - 1
Let r(o) = 1. Let b(j) be the second derivative of -j**3/6 + 5*j**2/2 + j. Let y be ((-1)/1)/(-2 + 3). Give y*b(t) + 6*r(t).
t + 1
Let m(f) = 51*f**3 - 27*f + 27. Let q(t) = -4*t**3 + 2*t - 2. What is -2*m(d) - 27*q(d)?
6*d**3
Let a(d) = -1. Let t(w) = -11*w**2 + 44. Determine -44*a(g) - t(g).
11*g**2
Let y(q) = -q**2 - q + 1. Let v(g) = -33*g**2 - 44*g + 44. Let c(i) = v(i) - 44*y(i). Let h(d) = 2*d**2. What is 6*c(w) - 34*h(w)?
-2*w**2
Let p(r) = -3*r - 8. Let q(i) = 15*i + 40. Calculate 11*p(a) + 2*q(a).
-3*a - 8
Let a(n) = 7*n + 1. Let z(g) = g. What is a(t) - z(t)?
6*t + 1
Let z = 22 + -25. Let u(d) = 9*d**2 - 9*d. Let n(o) = 5*o**2 - 5*o. What is z*u(k) + 5*n(k)?
-2*k**2 + 2*k
Let w(j) = 3*j**2 + 6*j + 5. Let c be (-16)/(-10)*-2*-5. Let o = -11 + c. Let d(i) = 2*i**2 + 5*i + 4. Determine o*d(q) - 4*w(q).
-2*q**2 + q
Let m(p) = 15*p + 3 - 6*p - 2*p**2 + p**2. Let q be m(9). Let f(r) = -r**3 + r**2 + 3*r + 3. Let t(a) = -a**3 + 2*a**2 + 5*a + 5. What is q*t(k) - 5*f(k)?
2*k**3 + k**2
Let s(d) = 4*d - 1. Let t(k) = 3*k - 1. Let c(z) = 5*s(z) - 6*t(z). Let r(n) = n. Determine -c(q) + r(q).
-q - 1
Suppose 0 = -6*y - 0*y + 18. Let m(k) = -11*k - 8. Let p(w) = -4*w - 3. What is y*m(j) - 8*p(j)?
-j
Suppose 0*c = -3*c + 12. Suppose c*i = 3*g - 5, 0*g = i - g. Let u(v) = v + 1. Let y(t) = 4*t + 6. Calculate i*u(a) + y(a).
-a + 1
Let w(v) = 6*v**2 + 1. Let y(s) be the second derivative of -13*s**4/12 - 3*s**2/2 - 3*s. Calculate -7*w(c) - 3*y(c).
-3*c**2 + 2
Let m be ((-17)/(-34))/(2/(-24)). Let p(v) = 7*v**2 + v. Let n(b) = 6*b**2 + b. Determine m*n(h) + 5*p(h).
-h**2 - h
Suppose -5*j - 55 = -0*j. Let y(r) = 5*r - 2. Let s(a) = 9*a - 4. Let v(b) = -2*b - 2. Let z be v(-4). Give j*y(m) + z*s(m).
-m - 2
Let x(j) = 5*j - 4. Let a(n) = 45*n - 35. Let g be 1*-3*1 + (-4)/4. Calculate g*a(p) + 35*x(p).
-5*p
Let n be 2*-1*(-1 - 1). Suppose -c + 9 = 2*c. Let g(b) = b - 2. Let h(r) = -r + 3. What is c*h(f) + n*g(f)?
f + 1
Suppose 42 = 4*c - 2. Let s(b) = -16*b + 6. Let n(p) be the first derivative of -3*p**2/2 + p - 4. What is c*n(q) - 2*s(q)?
-q - 1
Let f(t) = 2*t - 1. Let v(p) = 2*p - 2. Let h(c) = c + 10. Let i be h(-13). Determine i*v(z) + 4*f(z).
2*z + 2
Let x(g) = 4*g + 3. Let v = 12 + -10. Let u(j) = -9*j - 7. Let q(t) = 9*t + 7. Let i(z) = 4*q(z) + 3*u(z). Let m be (-1)/(1*2/10). What is m*x(y) + v*i(y)?
-2*y - 1
Let c(s) = -s + 1. Suppose -3*k + 4 = -y, k - y = -4*y - 2. Let r(p) = 0*p - k - 2*p - 3*p + 5. Determine -4*c(j) + r(j).
-j
Let v(p) = -p**3 - 3*p**2 - 3*p + 2. Let k(y) = 2*y**3 + 7*y**2 + 5*y - 5. Determine 6*k(x) + 14*v(x).
-2*x**3 - 12*x - 2
Let a be 91/(-21) + 2/6. Suppose l - 1 + 11 = 0. Let j(h) be the first derivative of h**3 - 2*h + 3. Let k(f) = -f**2 + 1. What is a*j(g) + l*k(g)?
-2*g**2 - 2
Let k(a) = 1. Let c(p) = -p**2 - p + 1. Determine -c(d) + 6*k(d).
d**2 + d + 5
Let b(p) = 4*p - 17. Let v(f) = 5*f - 18. Determine -3*b(r) + 2*v(r).
-2*r + 15
Let k(p) = 30*p**3 - 15. Let l(z) = 1. What is -k(v) - 15*l(v)?
-30*v**3
Let o(l) = -l**2 + l - 2. Let x(q) = -q**2 - q - 1. Calculate o(f) - 2*x(f).
f**2 + 3*f
Let g(i) = -3 + 11*i**3 - 3*i**2 + 4*i**3 + 7*i**3 - 3*i - 19*i**3. Let y(m) be the first derivative of m**3/3 + m**2/2 + m + 6. What is g(s) + 3*y(s)?
3*s**3
Let o(h) = 1. Let g(i) = i - 1. Suppose -6*a = 13 + 5. Calculate a*g(w) - 5*o(w).
-3*w - 2
Let w(a) = -4*a. Let i(x) = -2*x. Let c be 37/7 + (-8)/28. Suppose -g + 28 = 30. Calculate c*i(s) + g*w(s).
-2*s
Let k(r) = r**2 - 34*r - 2. Let f(n) = -n - 1. Determine -2*f(l) + k(l).
l**2 - 32*l
Let p be (-30)/8 + ((-51)/12 - -4). Let b(w) = 2*w**2 - 3*w - 1. Let m(f) = -5*f**2 + 8*f + 3. Calculate p*m(t) - 11*b(t).
-2*t**2 + t - 1
Let p(o) = -8*o**2 - 9*o - 1. Let w(s) = 12*s**2 + 14*s + 2. Let x(d) = -8*p(d) - 5*w(d). Let m(j) = 9*j**2 + 5*j - 4. Let y = 0 + 3. Give y*m(k) - 7*x(k).
-k**2 + k + 2
Let j(c) = -5*c + 8. Let i(q) = -2*q + 3. Suppose 5*h - 18 = -x - 4, 4*h = x + 13. Let u = -12 - -4. Calcu | {
"pile_set_name": "DM Mathematics"
} |
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