text stringlengths 270 8.19k | meta dict |
|---|---|
4*o = 12, h*k - 2*k + 185 = 5*o. Is k prime?
False
Let m = 72 - 70. Suppose j + 1184 = m*t, -j + 2*j = 2. Is t prime?
True
Let s be (552/32)/((-3)/(-8)). Let d = -25 + s. Is d prime?
False
Let d(z) = -129*z + 761. Is d(-6) prime?
False
Let x(y) = 3*y**3 - 2*y**2 + 4*y - 2. Let z be x(2). Let h be z/8 + (-4)/(-16). Suppose -4*t + 150 = -2*o, -2*t + 69 = h*o + 2*o. Is t a composite number?
False
Let f(m) = -4705*m + 103. Is f(-4) a composite number?
True
Suppose 5*d - 7*d - 630 = 0. Let q be 2/5 + 9126/(-15). Let t = d - q. Is t a prime number?
True
Suppose -3*n + 436 = -5*l - 7*n, n + 175 = -2*l. Suppose 5*b = -5*v - 755, 0 = -5*b + 3*v - 5*v - 743. Let g = l - b. Is g composite?
False
Suppose 9 = 3*o, -4*n = -6*o + o - 13. Suppose 3*a + 5*d - 22 = 0, 2*d = -4*a + a + n. Is 291/9*(2 - a) composite?
False
Let o(v) = 59*v**3 + 2*v**2 + 2*v + 6. Let c be 6*((-14)/(-4) + -3). Is o(c) a prime number?
False
Suppose -14*p + 160 = -162. Is p a composite number?
False
Let s(k) = -4*k**2 + 4*k + 25793. Is s(0) a prime number?
True
Let w be 11 + -4 + -3*1. Suppose -429 = -3*f + 3*n, -w*f = -0*n + 3*n - 565. Is f prime?
False
Is (-21)/14*((-702590)/(-15))/(-7) prime?
True
Let u(c) = c**3 - 8*c**2 + 12*c + 4. Let h be u(6). Let t be 854/h*(2 - 0). Let v = t + -206. Is v a prime number?
False
Let z = -17 - -23. Let d be z/(-6) + (27 - 1). Suppose -f + 134 - d = 0. Is f composite?
False
Suppose 2*u + 0 = -8. Suppose 0 = -11*a + a. Is (11 - a)*u/(-2) composite?
True
Suppose -7 = -2*d - 1. Suppose -c - 48 = -d*c. Let o = -13 + c. Is o composite?
False
Suppose 9 = -6*t - 3. Let d be (1*-5 - 0) + 2. Is d - (460/t + 4) prime?
True
Suppose 5919 = 28*j - 25*j. Is j composite?
False
Let h(o) = 3 - o - 4*o + 0*o - 4*o. Let l be h(3). Let s = l - -59. Is s a prime number?
False
Suppose 0 = 3*g + g. Let d = 104 - 92. Suppose 0 = 4*m + d, -3*a = m - g*m - 72. Is a prime?
False
Let v(d) be the third derivative of 199*d**5/60 + d**4/12 + d**3/3 - 15*d**2. Is v(-1) composite?
False
Suppose -26*d - 10 = -31*d. Suppose 0 = -5*f + 4*h + 5451, 4356 = -0*f + 4*f - d*h. Is f a prime number?
True
Let t be (7/(-21))/(2/6). Let y be t/(-1 + 984/988). Suppose y = 2*l - 255. Is l a composite number?
False
Let c(w) be the third derivative of 13*w**5/60 - 13*w**4/12 + 2*w**3/3 - 21*w**2. Is c(5) composite?
False
Let w be (-3)/4*64/(-24). Suppose 315 = 2*x - w*v + 59, 0 = -4*x + v + 509. Is x a prime number?
True
Suppose 5*a = -4*r - 676, 4*a + 3*r - 6*r = -547. Let o = 247 + a. Is o a composite number?
True
Suppose -h + 7 = -1. Suppose -h*k + 159 = -5*k. Is k a composite number?
False
Suppose j + 11 = 3*s, 19*j = -4*s + 24*j + 22. Let g(h) = 3*h + 3 + 4 + 57*h. Is g(s) a prime number?
False
Suppose 6*q = q - 2885. Let f = 811 + q. Let i = f - -160. Is i a composite number?
True
Suppose -2*w - 380 = -6*w. Let f be 4/10 + 50312/w. Suppose -s + 391 = -f. Is s a prime number?
False
Let g be (3/(-9)*0 - 2) + 31969. Suppose -3*i - g = -4*v + 2*i, 0 = 5*v - 5*i - 39960. Is v prime?
True
Suppose -3*s + 37 - 1 = -3*i, -3*s = 2*i - 46. Let u(w) = -2*w - 28. Let m be u(-11). Is 2998/s - m/(-42) a prime number?
False
Suppose -5*l + 7273 = -2*w, l = w + 1914 - 457. Suppose 0*q - q - 2*r + l = 0, -4383 = -3*q + 2*r. Is q a composite number?
False
Let g(u) = u**3 + 32*u**2 - 50*u - 1. Is g(-24) a composite number?
False
Let o(t) = t**3 + 12*t**2 - 9*t - 5. Let i(h) = h**3 + 12*h**2 - 11*h + 17. Let u be i(-13). Is o(u) a composite number?
True
Let d(n) = -8*n - 68. Let a be d(-9). Is 92*a*185/80 composite?
True
Let d be (4/6)/((-1)/(-3)). Let i be -89*-2*5*(-5)/(-50). Suppose -d*a + b + 118 = 0, 5*a - b - 203 = i. Is a a composite number?
True
Is ((-57)/12 + 5)*187972 prime?
True
Let v = 5050 + -2639. Is v prime?
True
Let r(j) = 16*j**2 + j + 1. Suppose -9 = -5*p + 2*f + 1, 0 = -3*p - 3*f + 6. Is r(p) a prime number?
True
Let h(v) = -26*v - 14. Let m be h(4). Let l = 417 + m. Let d = 594 - l. Is d prime?
False
Let l(i) = -2*i + 10499. Let x be l(0). Is (x - 2) + 20/(-5) prime?
False
Let h(b) = 13*b**2 + 23*b - 4*b**2 - 10*b**2 + 9. Suppose -5*p = -3*p - 22. Is h(p) a composite number?
True
Let g = -3473 + 21486. Is g prime?
True
Is (-1)/6 - 1*1720914/(-36) a composite number?
True
Is (-56)/(1 + -8) - -95 prime?
True
Let d(v) = 2*v**3 + 15*v**2 - 17*v + 7. Let c be d(-12). Let a = c - -2266. Is a prime?
True
Let x = 168 - 39. Is x prime?
False
Let o = -824 - -6679. Is o a composite number?
True
Let s = 1147 + -768. Let x = 30 + s. Is x a prime number?
True
Suppose 0 = 2*r - 3*r + 5. Let m be (r/10)/(2/5140). Suppose 2*y = -3*y + m. Is y prime?
True
Let i(h) = -69*h + 2. Let w be ((-18)/(-4))/(7/(-14)). Is i(w) a composite number?
True
Let v(g) = 2806*g**2 + 8*g + 6. Let n be v(-3). Is -4 - (n/(-2))/6 a prime number?
True
Is (15832/(-18) - 8/(-36))*-3 prime?
False
Let h(z) = z**2 - 6*z - 5. Let x be h(6). Is (6 + x)*(2 - -291) a prime number?
True
Let v = 403 + -1347. Let g = 1353 + v. Suppose -r + z = -4*z - g, 3*r = z + 1255. Is r composite?
False
Is 9289 + (5 - (9 - (-4 + 6))) a prime number?
False
Let g = 12706 - 6783. Is g prime?
True
Let k = 15 - 12. Suppose -k*b + 5 = -10. Suppose -2*m = -b*a + a - 54, 4*a = -2*m + 46. Is m composite?
True
Let t(g) = -1106*g - 29. Is t(-5) a prime number?
True
Suppose -14*p + 3137 = -13*p. Is p prime?
True
Suppose -2*l = -3*j + 284, 2*j - 3*l - 176 = 10. Is (67/(-4))/((-8)/j) prime?
False
Let i(j) = 29*j**2 + 2*j + 3. Let u be i(-2). Suppose 34*h = 33*h + u. Is h a composite number?
True
Let v(n) = -n**3 + 7*n**2 + 9*n - 8. Let i be v(8). Suppose i = 6*j - 10*j + 6340. Is j prime?
False
Is (-2)/4 - (-18525)/38 a prime number?
True
Suppose 0 = -7*l + 9 - 30. Is (2286/27)/((-2)/l) a prime number?
True
Let o = -28 + 33. Suppose -i + 211 = -0*i - o*g, -10 = 5*g. Is i a prime number?
False
Suppose -15*v + 20985 = -0*v. Is v composite?
False
Let m = -21828 + 51073. Is m composite?
True
Is 58 + -54 + 2 + (105315 - 2) composite?
False
Suppose -2*f + 26608 = 2*x, 3*x + 2*f = 20540 + 19375. Is x a prime number?
False
Suppose -2*s + 5 = 11. Let p be 4 + (16962/(-2))/s. Let f = p + -1954. Is f composite?
False
Let c be ((-2)/(-3))/(3/171). Let w(j) = -31 + c + 78*j + 48*j. Is w(2) a prime number?
False
Let j(z) = -5 + 11*z**2 + z**3 + 9*z - 2*z**3 + 2*z**3. Let p be j(-10). Suppose 2*w - 3*w + 1099 = p*o, 12 = 3*w. Is o a prime number?
False
Let j = 14 + -13. Is (-14)/((j - -1) + (-844)/421) a composite number?
True
Let x(c) = 52*c - 41. Let m(v) = -13*v + 10. Let k(r) = 9*m(r) + 2*x(r). Let y be k(-8). Suppose -2*i + 206 + y = 0. Is i a prime number?
False
Let m be (1 + -5 + 3)/(2/(-2390)). Let i = m + -510. Is i composite?
True
Suppose 0*s + 2*s - 702 = 0. Let x = 508 - s. Is x a prime number?
True
Let m be 3 + ((-4)/(-14) - 46/14). Suppose -4450 = -5*a - m*a + 5*t, -4*a + 3566 = -2*t. Is a composite?
True
Let w(u) be the second derivative of 14*u**4/3 + u**3/6 - 3*u**2/2 - 9*u. Is w(2) composite?
False
Let p(t) = -2*t + 43. Let j be p(19). Suppose -j*s + 538 = 2*b - 6*b, -5*s + 522 = 4*b. Is s composite?
True
Suppose 0 = 3*z + 5*y - 14881, -y = 9*z - 8*z - 4959. Is z prime?
True
Let k be (7 - (3 + -1))*1. Suppose k*n - 2*b - 546 - 453 = 0, -798 = -4*n + 2*b. Let u = n - -166. Is u a composite number?
False
Suppose -3*h = 2*g - 344, 4*g - 3*h - 672 = -5*h. Let m = g + 391. Is m prime?
True
Let b(f) = 13843*f**2 - f - 1. Is b(1) composite?
False
Let r(q) = -68*q**2 + 7*q - 8. Let d be r(1). Let b = d - -226. Is b prime?
True
Let v = 0 - 3. Let i(k) = -3*k**2 - k**3 + 2 - 2 - k + 0. Is i(v) composite?
False
Suppose 367*i = 365*i + 10. Suppose -5*j + 3980 = i*o, 5*j = 4*o + 3*j - 3190. Is o a composite number?
False
Let r be (4/(-3))/(2/3). Is (1*r)/(-6) - (-30660)/63 composite?
False
Let t be -1*18*(-724)/12. Suppose 0 = -3*c + t + 657. Is c composite?
True
Let m be (-86)/(6*(-1)/(-15)). Let o(p) = -41*p**3 + p**2 - p. Let q be o(-2). Let c = q + m. Is c composite?
True
Let p(s) = -s**3 - 19*s**2 + 18*s - 35. Let o be p(-20). Is 15/25 - (-912)/o a composite number?
True
Let y(l) = l**3 + 4*l**2 - 5*l + 1. Let j be y(-4). Is 1 + j + -4*(-12)/(-16) prime?
True
Suppose 3*w - 13504 = 14852. Suppose -11*l + 4595 = -w. Is l a composite number?
False
Suppose 0 = -4*a + 8. Is ( | {
"pile_set_name": "DM Mathematics"
} |
fy 4 + 4 + sqrt(76) + sqrt(76) + -3.
5 + 4*sqrt(19)
Simplify 1*((sqrt(4752)*1)/sqrt(11))**2.
432
Simplify -5 + ((sqrt(1584)*-1)**2 + -4)*1.
1575
Simplify ((1 + sqrt(2) + -4 + sqrt(2))**2 - sqrt(2))*-1.
-17 + 13*sqrt(2)
Simplify -3*(sqrt(80) + 0).
-12*sqrt(5)
Simplify (0 + -1 + sqrt(17) + 0 + (sqrt(17) - sqrt(153)/(sqrt(18)/sqrt(2) + sqrt(9))) + -3)**2.
-12*sqrt(17) + 217/4
Simplify -1*sqrt(272)*4*-4.
64*sqrt(17)
Simplify sqrt(4)/(sqrt(14)/sqrt(7)) - (sqrt(2)*-5 + 1 + sqrt(2)).
-1 + 5*sqrt(2)
Simplify (2*sqrt(567))**2 + -3 + (-4 + (sqrt(567) - (2 + sqrt(567) - sqrt(567))))**2.
-108*sqrt(7) + 2868
Simplify (1 + (-2 + (sqrt(1573)*-1 - sqrt(1573)))*6)**2.
2904*sqrt(13) + 226633
Simplify sqrt(57)/sqrt(48)*-6.
-3*sqrt(19)/2
Simplify 3 + (sqrt(78)/sqrt(216) + 2)**2.
2*sqrt(13)/3 + 265/36
Simplify (5 + (sqrt(19) - 2*sqrt(2299)))**2.
-210*sqrt(19) + 8404
Simplify sqrt(228)/(sqrt(588)*2 + sqrt(12)) - ((1*sqrt(304))**2 + sqrt(931)*1).
-304 - 104*sqrt(19)/15
Simplify -5*5*(sqrt(3)*-4 + -2)**2.
-1300 - 400*sqrt(3)
Simplify -2*(sqrt(704) - (sqrt(704) + 3)**2)*4.
320*sqrt(11) + 5704
Simplify sqrt(117)/(sqrt(27)/sqrt(3)) + -3.
-3 + sqrt(13)
Simplify (1*-2*sqrt(13) - (sqrt(234) - sqrt(26))/sqrt(2))**2.
208
Simplify (4*(sqrt(2) + -2 + -5 + (sqrt(128)/sqrt(4) - sqrt(32))))**2.
-224*sqrt(2) + 816
Simplify ((-3 + sqrt(1584))*-6)**2 + sqrt(1584).
-2580*sqrt(11) + 57348
Simplify 3*sqrt(55)/sqrt(5)*6.
18*sqrt(11)
Simplify (sqrt(132)/sqrt(24))/(sqrt(14)/(sqrt(7) + sqrt(112))).
5*sqrt(11)/2
Simplify -1*(sqrt(190)/(sqrt(10) + sqrt(10) + -1*sqrt(1440)))**2.
-19/100
Simplify (sqrt(6)/sqrt(3) - sqrt(2))*-2 + 2*sqrt(2) + -1 + 4*sqrt(12)/(sqrt(18)/sqrt(3)).
-1 + 6*sqrt(2)
Simplify (-3*sqrt(11)*1)**2 - sqrt(110)/(sqrt(40)/sqrt(4)).
-sqrt(11) + 99
Simplify (sqrt(612) + ((sqrt(612) + 0)*2 + sqrt(612) - sqrt(612)))**2.
5508
Simplify (4 + -5 + sqrt(108) + -1 + -5)**2.
-84*sqrt(3) + 157
Simplify -6*2*sqrt(2299) + (sqrt(2299) + 1 - sqrt(2299))*-2.
-132*sqrt(19) - 2
Simplify (sqrt(42) - (sqrt(42) - ((sqrt(84)/sqrt(2) - sqrt(42))*5 + sqrt(42))))/(sqrt(864) - -1*sqrt(864)).
sqrt(7)/24
Simplify (sqrt(180)/(sqrt(6)*-1))/sqrt(6).
-sqrt(5)
Simplify 3 + sqrt(42)/(-2*sqrt(6)*-4) + 3.
sqrt(7)/8 + 6
Simplify 3 + ((sqrt(162) - (sqrt(162) + 3 - sqrt(162))) + 5)**2.
36*sqrt(2) + 169
Simplify 4 + (sqrt(7) + -2*sqrt(700) - sqrt(7) - (-1*sqrt(77))/sqrt(11)).
-19*sqrt(7) + 4
Simplify ((sqrt(931) - 1*(sqrt(931) - (sqrt(931) + 0)))*2)**2.
3724
Simplify 3 + sqrt(48)*-1*2.
-8*sqrt(3) + 3
Simplify (sqrt(18)*3 + (sqrt(2) - (sqrt(18)*-2)/sqrt(9)) + sqrt(2))**2.
338
Simplify (3*(sqrt(117) + sqrt(117)*2 + sqrt(117)) + (sqrt(117) + 2*sqrt(117))*-1)**2.
9477
Simplify (-1 + 3*(sqrt(98) + -2) + sqrt(98))**2.
-392*sqrt(2) + 1617
Simplify (sqrt(117)*-2)**2 + 1*sqrt(208).
4*sqrt(13) + 468
Simplify (1*(sqrt(7) + 1 + sqrt(7))*3)**2 + 4.
36*sqrt(7) + 265
Simplify sqrt(63)/((sqrt(9) - (sqrt(9) - sqrt(9)*1))*4) + 4.
sqrt(7)/4 + 4
Simplify (-5 + sqrt(320) + (sqrt(320) + 2*sqrt(320))*-2)**2.
400*sqrt(5) + 8025
Simplify (sqrt(21)/sqrt(252))**2 - (sqrt(3) - (sqrt(3) + 2 + -4*sqrt(3))).
-4*sqrt(3) + 25/12
Simplify (sqrt(128) - sqrt(128)*-1 - sqrt(128))/sqrt(4).
4*sqrt(2)
Simplify 6*(2 + sqrt(192) + (sqrt(192) + 1)**2 + sqrt(192) + (-4 + sqrt(192)*2)**2).
-576*sqrt(3) + 5874
Simplify sqrt(121)/(sqrt(22)/sqrt(2)) + sqrt(11) + (sqrt(275))**2 + -1.
2*sqrt(11) + 274
Simplify 5*sqrt(7)*-2 + sqrt(63) + 1.
-7*sqrt(7) + 1
Simplify (sqrt(99)/(-4*sqrt(45)/sqrt(5)) + -4)**2.
2*sqrt(11) + 267/16
Simplify (sqrt(102) + -2*-2*sqrt(102))/((sqrt(96) - (-2*sqrt(96) + sqrt(96) + sqrt(96) - sqrt(96) - sqrt(96))) + sqrt(96)).
5*sqrt(17)/16
Simplify ((sqrt(144)*-2)/sqrt(8))/sqrt(6).
-2*sqrt(3)
Simplify (4*(sqrt(33) + sqrt(165)/sqrt(5)))/sqrt(3) + 1.
1 + 8*sqrt(11)
Simplify (sqrt(605) + 6*sqrt(605) + -2)**2.
-308*sqrt(5) + 29649
Simplify sqrt(325)*-5 + 1.
-25*sqrt(13) + 1
Simplify (sqrt(187) - (sqrt(187)*2*6 + sqrt(187)))/sqrt(11).
-12*sqrt(17)
Simplify (sqrt(35)/(sqrt(7)*-2) - (sqrt(5) + 4*(sqrt(5) + sqrt(5) + 2*sqrt(5) + sqrt(5))))**2.
9245/4
Simplify -1*(sqrt(42)/sqrt(24))**2.
-7/4
Simplify sqrt(209)/((sqrt(110) - (sqrt(110) - (sqrt(110) + sqrt(110)*-2 + sqrt(110) + sqrt(110))))/sqrt(10)) + 3.
3 + sqrt(19)
Simplify 2 + sqrt(5) + -1 - (sqrt(5) + (sqrt(5) - -2*sqrt(5)) + 5).
-3*sqrt(5) - 4
Simplify (-1*(-2 + (sqrt(68) - sqrt(68)*2) + sqrt(68)))**2.
4
Simplify sqrt(847)*-3 + -2*-5*sqrt(7).
-23*sqrt(7)
Simplify (-1*1*sqrt(200) - sqrt(200))**2 - ((sqrt(200) - (sqrt(200) + sqrt(200) + sqrt(200)*2 + sqrt(200))*-6) + sqrt(200)).
-320*sqrt(2) + 800
Simplify ((-2*sqrt(153)*-6 - (sqrt(153) + -3*sqrt(153)*1))*1)**2.
29988
Simplify -1 + sqrt(72) + -2.
-3 + 6*sqrt(2)
Simplify sqrt(76)/(sqrt(4) + sqrt(16)/sqrt(4)) + (sqrt(475) + 1 + sqrt(475) - sqrt(475))**2.
21*sqrt(19)/2 + 476
Simplify ((sqrt(475) + -1 - (sqrt(1539)*1 + sqrt(1539))) + -1)**2.
52*sqrt(19) + 3215
Simplify 4*((sqrt(245)*-1)**2 - sqrt(245)).
-28*sqrt(5) + 980
Simplify ((sqrt(2057) - 3*(-1 + sqrt(2057) - sqrt(2057) - sqrt(2057))) + sqrt(2057))**2.
330*sqrt(17) + 51434
Simplify 3*(-2 + (sqrt(19) - sqrt(76)/sqrt(4)))**2*3 + -3.
33
Simplify 3*-6*(sqrt(16) + sqrt(32)/sqrt(2))/sqrt(8).
-36*sqrt(2)
Simplify ((-1*sqrt(72))/sqrt(12))/((sqrt(6) - 2*sqrt(6))/sqrt(2)).
sqrt(2)
Simplify -3*(2 + 3*(-2*sqrt(363))**2).
-13074
Simplify 5*sqrt(50) + 4.
4 + 25*sqrt(2)
Simplify (2 + -3*sqrt(612))**2 + sqrt(612).
-66*sqrt(17) + 5512
Simplify 4 + -1*sqrt(3) + -1 + sqrt(363).
3 + 10*sqrt(3)
Simplify (sqrt(20)*3 + (sqrt(245) - (sqrt(245) - (sqrt(245) + 0))))**2*-2.
-1690
Simplify 5 + ((sqrt(12)*2 - sqrt(12))*-6)/sqrt(6).
-6*sqrt(2) + 5
Simplify sqrt(45)*1*2.
6*sqrt(5)
Simplify (2 + 1*sqrt(7) - (2 + sqrt(28)))**2.
7
Simplify 1*(3 + (sqrt(77)/sqrt(704) - sqrt(7))).
-7*sqrt(7)/8 + 3
Simplify (0 + sqrt(125) + sqrt(125))**2 - (sqrt(180)*-1 - sqrt(180))**2.
-220
Simplify ((sqrt(8)*-2)**2 - (1*sqrt(2))**2*-2) + sqrt(14)/((sqrt(7) + sqrt(28)/sqrt(4))*-2).
-sqrt(2)/4 + 36
Simplify (4*3*sqrt(60))/(sqrt(1452)*3 - sqrt(12)).
3*sqrt(5)/8
Simplify -3 + (-4*sqrt(720))**2.
11517
Simplify 1 + -3*sqrt(27) + -1 + sqrt(12).
-7*sqrt(3)
Simplify (sqrt(175) + sqrt(175) + 3*(sqrt(175) + 2) - ((-3*(sqrt(175) - (sqrt(175)*-2 - sqrt(175))) - sqrt(175)) + sqrt(175)))**2.
1020*sqrt(7) + 50611
Simplify sqrt(28)/sqrt(4) + 4 - (sqrt(448) + 0).
-7*sqrt(7) + 4
Simplify (5*(sqrt(2) + -1)*-6*-6)**2.
-64800*sqrt(2) + 97200
Simplify (4*sqrt(187))/sqrt(11) - (sqrt(85)*-3)/sqrt(5).
7*sqrt(17)
Simplify ((sqrt(110)/(sqrt(55)/sqrt(5)))/(sqrt(20)/sqrt(4)*-3 - sqrt(5)))**2.
1/8
Simplify (4*(sqrt(700) + (sqrt(700)*-1 - sqrt(700))))**2.
11200
Simplify -4 + (2 + sqrt(242))**2 + -4.
44*sqrt(2) + 238
Simplify (sqrt(228) + 2*sqrt(228)*-5)/((sqrt(108) - sqrt(12))*1).
-9*sqrt(19)/2
Simplify (2*sqrt(5445) - sqrt(5445))/(2*sqrt(900)).
11*sqrt(5)/20
Simplify ((1*sqrt(8)*2)/(6*(-2*sqrt(4) - sqrt(4)) + sqrt(4) + sqrt(4)))**2.
1/32
Simplify sqrt(25)/(sqrt(40)/(sqrt(8)*-1)).
-sqrt(5)
Simplify sqrt(65)/(1*sqrt(320)).
sqrt(13)/8
Simplify ((-4*sqrt(22) + sqrt(22))/sqrt(11))**2 - (sqrt(8)/(sqrt(24)/sqrt(6)) + sqrt(2)).
-2*sqrt(2) + 18
Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77)*1 - sqrt(77)) - sqrt(77))*-1)/((sqrt(7) - 2*sqrt(7) - sqrt(7))*-3))**2.
11/36
Simplify ((sqrt(80) + -2)*-2 + -1 + sqrt(80)*1)**2.
-24*sqrt(5) + 89
Simplify sqrt(99) + 3 + 6*2*sqrt(11).
3 + 15*sqrt(11)
Simplify (((sqrt(385) - 1*sqrt(385))/sqrt(7))/sqrt(11)*-4)**2.
0
Simplify (sqrt(200)*-6)**2 - sqrt(200) - (sqrt(128) + (-4*sqrt(128))**2).
-18*sqrt(2) + 5152
Simplify (sqrt(55) + sqrt(440)/sqrt(8)*-1)/sqrt(5).
0
Simplify sqrt(7) - (sqrt(1008)/sqrt(9))**2 - ((sqrt(175) + -1)**2 + sqrt(7)).
-288 + 10*sqrt(7)
Simplify (4*sqrt(1260))/(sqrt(21)/sqrt(48)).
96*sqrt(5)
Simplify (3*(sqrt(128) + 1))**2 + 3.
144*sqrt(2) + 1164
Simplify -4 + -1 + ((1 + sqrt(1539) - sqrt(1539)) + sqrt(1539))**2.
18*sqrt(19) + 1535
Simplify (-5*sqrt(4)/sqrt(2) - sqrt(2)) + (sqrt(2) - (sqrt(50) + sqrt(50) + -1))**2.
-24*sqrt(2) + 163
Simplify sqrt(500) + (sqrt(500) - (sqrt(500) + (sqrt(500) - (sqrt(500) - -5*(sqrt(500) + 0)))))**2.
10*sqrt(5) + 12500
Simplify (6*1*sqrt(24))/(sqrt(24)/(sqrt(2)*-1 - sqrt(2))).
-12*sqrt(2)
Simplify sqrt(77)/(sqrt(1584)*1).
sqrt(7)/12
Simplify (sqrt(76) + (sqrt(76) - -5*(sqrt(76)*1 - sqrt(76))))/(sqrt(20)/(s | {
"pile_set_name": "DM Mathematics"
} |
(y) = -4*y + 3 - 10*y + 18*y + f. Let w(i) = 5*b(i) - 6*t(i). Give w(2).
3
Let t(f) = -f**3 + f**2 + 11*f + 9. Let y(m) = -m**3 - 16*m**2 - 19*m - 56. Let l be y(-15). Let h be t(l). Let n(j) = j**3 - 6*j**2 + 6*j + 4. Calculate n(h).
9
Let i = 6590 + -6576. Let c(z) = z**3 - 14*z**2 + 3*z + 2. Calculate c(i).
44
Suppose 52*r - 44*r + 64 = 0. Let h(y) = -y**2 - 6*y - 8. Determine h(r).
-24
Let w = -252 - -259. Let s(j) = -2*j**3 + 15*j**2 - 5*j - 22. Let g be s(w). Let l(i) be the first derivative of i**3/3 + 7*i**2/2 + 2*i - 5. Calculate l(g).
10
Let r be (-6 - -4)*(-11)/2. Let a(g) = g**2 - 11*g + 3. Let x be a(r). Let z(l) = -2*l - 5. What is z(x)?
-11
Let s(o) = 2 - 4*o**3 - o**3 - 3 - 4*o**2 + 4*o**3 + o. Suppose 4*a + 2*w = w + 269, 0 = -a + 2*w + 56. Suppose -a = 32*u + u. Calculate s(u).
-11
Let q(o) be the third derivative of -o**6/60 - 4*o**5/15 - o**3/6 - 84*o**2 + 3*o - 4. Give q(-8).
-1
Let i(f) be the first derivative of f**3/3 - f**2/2 + 2*f + 2433. Give i(-8).
74
Let n(v) be the third derivative of -1/24*v**4 + 1/60*v**5 - 1/72*v**6 + 7*v**2 - 2*v**3 + 0*v + 0. Let s(f) be the first derivative of n(f). What is s(1)?
-4
Let g(s) be the first derivative of s**4/4 + 13*s**3/3 + 15*s**2 - 10*s - 120. Give g(-10).
-10
Let v(j) = 2*j - 10. Let f be -3 + (-300)/(-8) + (-1)/2. Suppose 0 = 8*y - f - 30. Calculate v(y).
6
Let m(g) be the first derivative of 36 + 2/3*g**3 + 1/4*g**4 - g + 0*g**2. Give m(-2).
-1
Let x(t) = -93*t - 7. Suppose -23*h = -301*h - 13*h. Calculate x(h).
-7
Let z(y) = 441*y**2 + 445*y**2 + 4*y + 5 - 2*y - y**3 + y - 880*y**2. Calculate z(6).
23
Let j = -21 - -12. Let o(i) = -5*i - 27. Let d(w) = -4*w - 23. Let m = 484 + -481. Let h(t) = m*o(t) - 4*d(t). What is h(j)?
2
Let d(z) = 4*z**3 + 3*z**2 + 2*z + 4. Let u(o) = -95*o + 852. Let g be u(9). Calculate d(g).
-83
Let v(h) be the second derivative of h**4/24 + 5*h**3/3 - 149*h**2 - 3*h - 7. Let a(n) be the first derivative of v(n). Give a(13).
23
Let c(w) = -212*w + 1900. Let p be c(9). Let i(h) = 3*h**3 + 25*h**2 + 9*h + 3. Determine i(p).
-5
Let p(a) = -3*a**2 - 130*a - 852. Let b be p(-35). Let h(n) = n - 31. Give h(b).
-8
Let k(i) = 4*i**3 - 3*i + 3*i**2 - 2*i**3 + 4 - 3*i**3. Suppose -52*g + 43*g + 78 = 17*g. Determine k(g).
-5
Let l(v) be the third derivative of -v**6/120 + 7*v**5/60 - v**4/3 + 7*v**3/6 + v**2. Suppose -422209*g = -422234*g + 150. What is l(g)?
-5
Let b(j) be the second derivative of j**7/2520 + j**6/144 + j**5/40 + 37*j**4/12 - 6*j - 2. Let l(v) be the third derivative of b(v). Calculate l(-3).
-3
Suppose 4*u - 5*t = -35, -3*u - 12 = 6*t - 5*t. Let n(a) = 38*a + 183. Give n(u).
-7
Let i be (-16 - 0)*630/(-336)*1/6. Let h(t) = 15*t - 59. Determine h(i).
16
Let w(c) = c**3 - c**2 + 1. Let b(x) = 19*x**3 - 7*x**2 + 6. Let z(v) = b(v) - 6*w(v). Suppose 0 = -j + 2*j - 1. Determine z(j).
12
Let c(l) = -l. Suppose 5*s - 2*p + 5*p - 30 = 0, -p + 5 = 0. Suppose 36 = -3*x - s*x. Let j be (66/55)/(x/(-10)). Give c(j).
-2
Suppose -5*a - 28 - 2 = -5*j, 4*j - 30 = -2*a. Let s(x) = 5*x**2 + 7*x + 6. Let t(v) = -12*v**2 - 22*v - 11. Let q(p) = 5*s(p) + 2*t(p). Give q(j).
-6
Let k(w) = -15*w - 15*w**2 + 4*w - 2*w**3 - 8*w + w + w**3 - 48. Determine k(-14).
8
Let i = 99 - 77. Let q(f) = f**2 - 22*f + 44. Let l be q(i). Let p(b) = -l + 47 - 4*b + 3*b. What is p(-5)?
8
Let l(u) be the first derivative of -7*u**3/3 + 3*u**2/2 - 3*u - 2473. Calculate l(3).
-57
Let k(r) = -18*r + 13. Let w(b) = -9*b + 7. Let y(i) = 6*k(i) - 11*w(i). Give y(0).
1
Let l(z) = -z - 4. Let h(p) = -p**3 - 14*p**2 + 16 - 9 - 8 - 6 - 14*p. Let n be h(-13). Suppose -n*o = -10 + 10. What is l(o)?
-4
Let p(a) be the third derivative of a**6/120 - 3*a**5/4 + a**4/24 - 21*a**3/2 - 22*a**2 + 139*a + 1. What is p(45)?
-18
Let l(y) be the third derivative of y**8/5040 - y**7/2520 - y**6/720 + 71*y**5/60 - 109*y**2. Let z(f) be the third derivative of l(f). What is z(2)?
11
Let c(b) = -b**2 + 881*b + 889*b - 2616*b + 6 + 850*b. Determine c(5).
1
Suppose -3*i = 15*z - 19*z - 46, -85 = -5*i + 5*z. Let n(r) = r**3 - 21*r**2 - 22*r - 4. Calculate n(i).
-4
Let y(j) = j**3 - j**2 - 2*j + 1. Let v = -151 + 156. Suppose -3 = w - d, -2*w + 6*d = v*d + 5. Give y(w).
-7
Let g(h) = 2*h**2 + 25*h - 20. Let n(v) = 8*v**2 + 76*v - 55. Let y(l) = -14*g(l) + 4*n(l). Calculate y(10).
0
Let a(b) = b**3 - 6*b**2 + 3*b - 2. Suppose -28*n + 329 = 55 + 134. What is a(n)?
-12
Let h(o) be the second derivative of o**4/12 - 3*o**3/2 - 9*o**2/2 + 27*o. Suppose -99 + 3 = -37*q + 25*q. Give h(q).
-17
Let z(f) = -f**2 + 16*f + 164. Let o = -33989 + 33982. Give z(o).
3
Let l(s) = -6*s + 99. Let k be l(16). Let b(d) = -d**k - 1 - 6*d**2 - 4 + 613*d - 621*d. Determine b(-5).
10
Let h(t) be the first derivative of t**4/4 + 5*t**3/3 - 9*t**2/2 - 9*t - 5632. Let u(l) = 3*l + 3. Let c be u(-3). Calculate h(c).
9
Let r(a) = -a**2 - 145*a + 616. Let n be r(4). Let f(k) be the first derivative of 3*k - 1/3*k**3 - n - k**2. Determine f(-4).
-5
Suppose -6 = k - 0. Suppose -3*x - t = -85, 2*x + 4*t = -0*t + 70. Let u be k/x - (210/27 + -1). Let i(s) = s**3 + 8*s**2 + 7*s + 4. What is i(u)?
4
Let a = 18 + -13. Let j(h) = -11*h**3 + 12*h**2 - 12*h + 17. Let b(i) = i - 7*i**3 + 11 + 29*i + 8*i**2 - 38*i. Let t(y) = a*j(y) - 8*b(y). Determine t(4).
13
Let y(i) = -i + 2. Suppose k - 50 = -k. Suppose -5*p + 25 = 0, 2*j + 0*p - 5*p = -k. Suppose j = -f + 2*o - 12, 2*o = 5*f - o + 46. Determine y(f).
10
Suppose -1212 = 4*u + 12*w - 10*w, 0 = -4*u + 4*w - 1200. Let z = 304 + u. Let r(g) = 5*g**3 - 2*g**2 + 2*g - 2. Calculate r(z).
34
Let q(i) = 22 + 2 + 70*i - 132*i - 29 + 68*i. Let o = -12 + 8. Give q(o).
-29
Let z(w) = 192 - 95 - 1181*w + 5*w**3 - 2*w**2 - 4*w**3 - 93 + 1179*w. Let a = -28 + 40. Suppose 3*q - a = -q. What is z(q)?
7
Let p(s) = 2*s**3 + s**2 - 3*s - 10. Let w = 10640 + -10643. Give p(w).
-46
Let g(y) be the second derivative of 16*y + 0 - 2*y**2 - 1/8*y**4 - 1/2*y**3. Let r(f) be the first derivative of g(f). What is r(-2)?
3
Suppose 0 = -3*z + 7*z. Suppose 5*i - 7 = -3*u + 42, z = 5*u - 5*i - 15. Suppose -x - 34 = 5*j, -4*j = -2*j - 5*x - u. Let g(w) = w**2 + 7*w + 3. Give g(j).
-3
Suppose -93*m = 156*m - 1743. Let i(o) = -2*o**2 - 8*o + 5 + o**2 + 2*o**2. Calculate i(m).
-2
Let z(p) be the first derivative of p**2/2 - 13*p - 50961. Let k be 20 + 2/(-2 - 0). What is z(k)?
6
Suppose 0 = 8*a + 1 - 57. Suppose -16*d = -a*d - 468. Suppose 0 = -11*k - d + 19. Let v(f) = -2*f**3 - 3*f**2 + 4*f + 2. What is v(k)?
17
Let q = -22 - -20. Let m be 5/(-10)*(1*4 + q). Let b(r) = 18*r**3 - r**2 - r + 1. Let y(k) = k**3 + k**2 + 1. Let g(x) = b(x) - y(x). Give g(m).
-18
Let v = 131/236 + -13/236. Let l(k) be the second derivative of 0 + v*k**2 - 28*k + 0*k**3 - 1/2*k**4. Give l(-1).
-5
Suppose 5*s - 5 = 0, -5*s = -3*h - 6*s + 7. Let o(d) = -76*d - d**3 + 2*d**2 + 150*d - h - 77*d + 3*d**2. What is o(4)?
2
Suppose 0 = -8*j - 23 + 63. Suppose j*m - 1 = 9*m + o, 4*m - 4*o + 16 = 0. Let k(w) = 22*w**3 - 1. Calculate k(m).
-23
Let x(n) = 25 - 7 - 29*n**2 + 14*n + 16*n**2 - 15 + n**3. Calculate x(12).
27
Let m(z) = z - 4*z + z**2 - 8 - 8 - 8 + 18. Give m(9).
48
Let g = -6270 + 6292. Let v(m) = -11*m + 243. Determine v(g).
1
Let d(z) be the first derivative of -5*z**4/4 - 3*z**2/2 + 2*z + 758. Calculate d(1).
-6
Let c(z) = 2*z**3 - 2. Suppose -27*w - 7 = -34*w. Let q be w + 1 - -2 - (2 + 0). Calculate c(q).
14
Let i(g) = 5 - 9 - 2*g - 2 - 80*g**2 + g**3 + 84*g**2. Suppose r + 3*a - 24 = 0, 2*r + 5*a = 33 + 12. Let w = 11 - r. Determine i(w).
2
Let h(l) = -7*l**2 - 9*l + 4. Suppose 32*y + 93*y + 104 = -396. Determine h(y).
-72
Let o(p) = p**3 - 4*p**2 + 2*p - 3. Suppose z - 7 = -2*i + 2*z, 2*i + 3*z - 11 = 0. Determine o(i).
5
Let y(t) = t**3 - 7*t**2 + 9*t - 22. Suppose k + 0 = 2*m - 9, 30 = 4*m + 2*k. Calculate y(m).
-4
Suppose 1 = 25*j - 24*j. Let y(h) = -h**2 + h. Let p(x) = -6*x**2 + 6*x. Let l = 23 + -24. Let r(u) = l*p(u) + 5*y(u). Calculate r(j).
0
Suppose 2*y + 2*b = -2*b + 2, b = -1. Suppose 2*g = -1 + y. Let h(w) = 5*w**3 - w + 1. Determine h(g).
5
Suppose -12*x = -103 + 79. Let d(z) = 0*z - 3 + 2*z**2 - 3*z - 6*z**x - 2*z**2 + 5*z**2. Give d(-4).
-7
Let v(f) = -f**3 + 6*f**2 - 5*f - 4. Let q(d) = -9*d - 2. Suppose -9*t + 2*t - 7 = 0. | {
"pile_set_name": "DM Mathematics"
} |
h smallest value? (a) 7/3 (b) -10/3 (c) -611 (d) 0.01 (e) -0.2
a
Which is the fourth smallest value? (a) 1.5 (b) -0.17 (c) -0.6 (d) -0.1 (e) 2 (f) 5
a
Which is the fourth smallest value? (a) 1 (b) 2/5 (c) 47769623 (d) -8
c
Which is the third biggest value? (a) -0.09 (b) -25959.1 (c) -2 (d) 3/7
c
What is the fourth smallest value in 0, 9, -18/143, 133?
133
Which is the third smallest value? (a) -54396 (b) -5 (c) 0.5 (d) -0.4 (e) -144
b
What is the second smallest value in 2, -136, 1205, -0.5, 3/2?
-0.5
What is the second biggest value in -37, -4, 2, 0, 0.2, -3?
0.2
Which is the smallest value? (a) 158 (b) -17/6 (c) 0.125
b
Which is the second biggest value? (a) -5/18 (b) 23.4 (c) 7 (d) 22
d
Which is the second biggest value? (a) 88 (b) 19 (c) -1/54 (d) 2/3
b
What is the third smallest value in 0.062, -2, -4, 0, -696/7?
-2
Which is the biggest value? (a) -4 (b) 4/5 (c) 6/55 (d) -706
b
Which is the fourth biggest value? (a) -4 (b) -488 (c) -10 (d) -3/38
b
Which is the biggest value? (a) 0 (b) 29/4 (c) -0.3 (d) 0.15 (e) 3/5 (f) -3.4
b
Which is the third biggest value? (a) -6/7 (b) -65 (c) -3 (d) 0.2 (e) -734 (f) 2
a
Which is the fifth biggest value? (a) 339/7 (b) 1 (c) -2/7 (d) 946 (e) -2/3
e
Which is the smallest value? (a) 5 (b) 1/6 (c) 0.3 (d) 0.5 (e) 1/5 (f) 4132
b
Which is the second smallest value? (a) -2 (b) -133.2 (c) 9313 (d) 2
a
Which is the third biggest value? (a) -6/5 (b) 0 (c) 5 (d) -0.5 (e) -3 (f) 652/11 (g) 4
g
What is the fourth smallest value in -695, 6, -1, 0.05?
6
Which is the biggest value? (a) -0.033 (b) -2/7 (c) 695 (d) 0.3 (e) 4 (f) 5 (g) -2/3
c
What is the fifth biggest value in -2685, 1, -23, -4, 5?
-2685
Which is the biggest value? (a) -55508 (b) 1/4 (c) 0.3 (d) 52/7 (e) -1
d
Which is the second smallest value? (a) 0.5 (b) 1/25 (c) 0.01 (d) -1 (e) -2/9 (f) 0.12693
e
What is the third smallest value in 2/5, 2/9, 32, 10/7, 4/39?
2/5
What is the second biggest value in 1, -1/4, -2/11, 126.095?
1
What is the third smallest value in 0, 3/5, 1/2477, -0.4, 8/5?
1/2477
Which is the third biggest value? (a) -7 (b) -140 (c) 2 (d) -71 (e) 5
a
Which is the second biggest value? (a) 0 (b) 3 (c) 259784 (d) -0.05
b
What is the fifth biggest value in 2/111, 12, 0.05, -2, -42, -5/4?
-2
What is the third biggest value in 3, 341.51, 15?
3
What is the smallest value in 7221, 10, -2.89?
-2.89
Which is the second smallest value? (a) -2 (b) 1/5 (c) -724 (d) 2/9 (e) -5 (f) -4/61
e
What is the second biggest value in -1/5, -31, 0.1, 0, -7892, 4?
0.1
What is the second biggest value in 4/97, 0.2, 15, 1623/7, 0.3?
15
What is the second smallest value in 6/31, 1/3, 6, -1, 0, 14, 3/13?
0
What is the sixth biggest value in 1, 10, 0, -176, -0.24, -4/5?
-176
Which is the third biggest value? (a) 5 (b) -0.01 (c) 4 (d) -36/5 (e) 0.1 (f) -0.1 (g) -639
e
What is the sixth smallest value in 2/7, 0.6468, -3, -0.2, 0.6, 1/41?
0.6468
Which is the fifth biggest value? (a) 0.115 (b) -3/7 (c) 4 (d) 1 (e) -2/91 (f) -0.3 (g) -19
f
What is the fourth biggest value in -4, 0.0882, -3/2, 0.68, -2/23, 2/13?
-2/23
Which is the fourth biggest value? (a) 2/47 (b) -67660 (c) -2/7 (d) -5 (e) -4
d
Which is the sixth biggest value? (a) -2.8383 (b) 0.5 (c) 0.1 (d) -4 (e) 7 (f) 1/9
d
Which is the third smallest value? (a) -2.89 (b) 0.311983 (c) -3 (d) 0.5
b
Which is the third smallest value? (a) -10.7 (b) 1/8 (c) 3 (d) -5 (e) -0.4 (f) 19 (g) -2/25
e
Which is the second smallest value? (a) 4/7 (b) 0.5 (c) 0.2 (d) -2/5 (e) -42 (f) -1895
e
Which is the fourth biggest value? (a) -2 (b) 4 (c) -3652 (d) 5/4 (e) -34 (f) -0.3 (g) 0.1
f
What is the fifth biggest value in -0.1, 2/55, 0.5, 0.2, -12, -1, -137.7?
-1
Which is the third smallest value? (a) 3 (b) -3 (c) -16 (d) 0.3 (e) 1/5 (f) -2.62 (g) -5
b
Which is the fifth biggest value? (a) 5 (b) 0.25 (c) -0.2 (d) -1/4 (e) 19.96 (f) -0.1
c
Which is the third smallest value? (a) -1288.6514 (b) -0.4 (c) 0.02
c
What is the third biggest value in 1, -27/7, 2.9, 77, -1/5, 3/5?
1
What is the biggest value in 5, 1480, 0.875, 6?
1480
Which is the fifth smallest value? (a) -5/6 (b) 50507 (c) 5 (d) 0.2 (e) -3/4
b
Which is the fifth smallest value? (a) 78518 (b) 1 (c) 0 (d) 2 (e) 1/8 (f) 5
f
Which is the fourth biggest value? (a) 5.6 (b) 1 (c) 2854 (d) -3
d
What is the fifth smallest value in -0.5, -25049, 0.4, -59, -7?
0.4
What is the third biggest value in 3/2, -61509/10, 2/15, 2?
2/15
Which is the fifth biggest value? (a) 0.1 (b) -0.4 (c) -23 (d) 1 (e) 4 (f) 1/2 (g) -23/44
b
Which is the smallest value? (a) 11 (b) 2182 (c) -2397
c
Which is the biggest value? (a) -0.03 (b) -1/70 (c) 3 (d) -21.4 (e) -1/2 (f) 7
f
Which is the third biggest value? (a) -124 (b) -13 (c) -5 (d) 22
b
Which is the smallest value? (a) -0.08 (b) -21 (c) -349.971
c
What is the biggest value in 1/4, -1, -4, 0.01, 5/6, 4?
4
What is the second smallest value in 10809, 1/2, 16253?
10809
What is the fourth biggest value in 245, 0.03, 2/11, -0.3, -26, 3?
0.03
What is the biggest value in 64, 8, 41, 2, 7?
64
Which is the smallest value? (a) -177.04 (b) 379/4 (c) 17
a
What is the fifth biggest value in 1/90, -0.15, 1/11, -0.4, 53, 0.4?
-0.15
Which is the third smallest value? (a) 0.23 (b) 132 (c) -3113/2 (d) 3
d
Which is the biggest value? (a) -2/11 (b) -0.13 (c) -96518 (d) 0.5
d
What is the second biggest value in -560, 2/7, -10, -982?
-10
What is the smallest value in 10, 0.107, 0.369, 4/5?
0.107
What is the fourth biggest value in 38.3, -2, 0.7, 13?
-2
Which is the smallest value? (a) -0.2 (b) -0.016 (c) 1 (d) -37 (e) 134 (f) -1/4
d
Which is the smallest value? (a) -2.03 (b) -1 (c) 4 (d) 184
a
What is the third biggest value in -2526/4639, 1, -3, -0.3, -1, -5?
-2526/4639
What is the third smallest value in 5, -630, -13/61?
5
Which is the third smallest value? (a) 5/3 (b) -0.1 (c) 20476 (d) 1/5 (e) -2/5 (f) 1
d
What is the fifth biggest value in 668, -0.5, 1/65, -3/4, 0.4, -0.4, -5?
-0.5
Which is the fourth smallest value? (a) 1/4 (b) 3.098 (c) -13 (d) -3 (e) 2.9
e
Which is the second smallest value? (a) -5 (b) 0.2 (c) -46010
a
Which is the second biggest value? (a) 1 (b) 4 (c) 17 (d) -3 (e) 825
c
What is the third smallest value in 0, 0.5, 32, -0.6, 63, 0.1, -50?
0
Which is the fourth biggest value? (a) 0.5 (b) -1/11 (c) -234 (d) -130757
d
What is the fourth biggest value in 3/632, 0.3, 477, 4?
3/632
Which is the second biggest value? (a) -0.4 (b) 1381 (c) -24.49
a
Which is the second biggest value? (a) 0.5 (b) 0.184 (c) -0.07586
b
Which is the second smallest value? (a) -4 (b) 0.2 (c) 3/8 (d) -2/2645 (e) 4 (f) -1/3 (g) 0.5
f
What is the smallest value in -3/2, 13594, -0.3, 11?
-3/2
Which is the second biggest value? (a) -0.4 (b) -1/3 (c) 9/13 (d) 2 (e) -5 (f) 0.01
c
Which is the smallest value? (a) 4 (b) 0.3 (c) -46 (d) -0.1 (e) -2/11 (f) -0.08 (g) -16/15
c
What is the second smallest value in 2/9, -2/5, 243090756?
2/9
What is the smallest value in -0.2, 5/3, 213/2, -1532, 0.3, 2?
-1532
What is the third biggest value in -8, -2, -12/85, -20, -0.5?
-2
What is the second biggest value in 4, -4, 20, -2/851, -79?
4
Which is the third biggest value? (a) 261 (b) -14.53 (c) 341
b
What is the third smallest value in -1/4, 0.01, -5, -2, 2/5, 0, 586/9?
-1/4
What is the third biggest value in -1, 356, -4/1003, -2/7, -0.5?
-2/7
Which is the third smallest value? (a) -2/7 (b) 4 (c) -0.25 (d) -1/6 (e) -9 (f) 71/6
c
Which is the smallest value? (a) -0.01023 (b) -0.2 (c) 1/12 (d) -8 (e) -0.4
d
Which is the third smallest value? (a) 1/7 (b) -2/29 (c) 18837 (d) 7 (e) 0
a
Which is the smallest value? (a) -46/7247 (b) 7.2 (c) 2
a
Which is the third smallest value? (a) -89 (b) 1/40 (c) -0.1 (d) 3/25
b
Which is the third smallest value? (a) -2/13 (b) -1670.59 (c) -84
a
What is the sixth biggest value in 0.5, -0.5, 2/7, -6, 3, 56?
-6
What is the second biggest value in -7.889, 29, 2?
2
What is the second biggest value in -155/6, -17761, 1?
-155/6
What is the second smallest value in -0.5, 0. | {
"pile_set_name": "DM Mathematics"
} |
multiple of 570 and 114.
570
What is the lowest common multiple of 116 and 216?
6264
What is the common denominator of -21/80 and 1/210?
1680
Calculate the common denominator of 23/18 and -19/69.
414
Calculate the common denominator of 86/15 and -79/1245.
1245
Find the common denominator of -49/55 and 109/10.
110
What is the smallest common multiple of 240 and 30?
240
Calculate the lowest common multiple of 45 and 24.
360
What is the common denominator of -19/720 and 79/50?
3600
Calculate the common denominator of -79/1080 and -9/11.
11880
What is the lowest common multiple of 121 and 11?
121
Calculate the least common multiple of 517 and 3713.
40843
What is the smallest common multiple of 60 and 375?
1500
Find the common denominator of 13/112 and -25/16.
112
What is the least common multiple of 795 and 1590?
1590
What is the smallest common multiple of 27 and 18?
54
What is the common denominator of 37/6853 and 43/8811?
61677
Find the common denominator of 51/35 and 33/31.
1085
What is the smallest common multiple of 20 and 354?
3540
What is the lowest common multiple of 104 and 5160?
67080
Calculate the lowest common multiple of 780 and 429.
8580
Calculate the common denominator of 37/18 and 149/8022.
24066
Calculate the common denominator of 59/4 and 47/516.
516
Calculate the common denominator of -199/2040 and 1/5100.
10200
Calculate the common denominator of 101/52 and -67/4.
52
What is the common denominator of -79/1526 and 57/91?
19838
Calculate the least common multiple of 178 and 1.
178
Calculate the smallest common multiple of 200 and 2140.
21400
Calculate the least common multiple of 160 and 80.
160
Find the common denominator of -22/17 and -43/306.
306
What is the common denominator of -67/144 and -23/162?
1296
What is the common denominator of 69/238 and 1/25?
5950
Calculate the lowest common multiple of 112 and 70.
560
Calculate the smallest common multiple of 28 and 412.
2884
What is the common denominator of 15/358 and -29/4?
716
Calculate the common denominator of 16/301 and -26/1247.
8729
Find the common denominator of -85/322 and 61/42.
966
Calculate the lowest common multiple of 15 and 50.
150
Calculate the least common multiple of 90 and 5529.
165870
Calculate the lowest common multiple of 45 and 144.
720
Find the common denominator of -93/1976 and 75/32.
7904
Find the common denominator of 1/90 and -23/40.
360
Find the common denominator of 83/60 and 47/220.
660
What is the common denominator of 73/432 and 95/8?
432
What is the lowest common multiple of 341 and 310?
3410
What is the common denominator of -57/143 and -31/13?
143
Calculate the lowest common multiple of 156 and 48.
624
What is the common denominator of -127/132 and -23/72?
792
What is the lowest common multiple of 225 and 30?
450
Calculate the smallest common multiple of 92 and 16.
368
Calculate the common denominator of 2/7 and 61/87.
609
What is the lowest common multiple of 35 and 63?
315
Calculate the common denominator of 23/372 and -107/1674.
3348
Calculate the common denominator of -119/114 and 95/1158.
22002
Calculate the common denominator of -99/4 and -30/43.
172
Find the common denominator of -8/981 and 29/981.
981
What is the least common multiple of 4 and 380?
380
What is the lowest common multiple of 3 and 127?
381
Calculate the lowest common multiple of 24 and 8.
24
Calculate the least common multiple of 1332 and 3663.
14652
Calculate the smallest common multiple of 523 and 5.
2615
Calculate the common denominator of 3/860 and -71/172.
860
What is the common denominator of 121/120 and -73/280?
840
What is the common denominator of -61/110 and 37/20?
220
Find the common denominator of -7/138 and 46/33.
1518
Calculate the smallest common multiple of 72 and 195.
4680
Find the common denominator of 52/765 and -35/9.
765
Find the common denominator of -35/66 and -157/2376.
2376
Find the common denominator of -7/6450 and -4/75.
6450
Calculate the smallest common multiple of 5412 and 492.
5412
Calculate the least common multiple of 117 and 6.
234
What is the lowest common multiple of 71822 and 6?
215466
Find the common denominator of -13/99 and 89/90.
990
Calculate the common denominator of 37/2 and 75/166.
166
What is the common denominator of -11/60 and 71/1110?
2220
What is the common denominator of 23/54 and -67/270?
270
Calculate the common denominator of 25/8 and -45/1228.
2456
What is the common denominator of 94/357 and 73/21?
357
Calculate the smallest common multiple of 3 and 8.
24
Calculate the common denominator of -121/30 and -33/16.
240
Calculate the smallest common multiple of 12974 and 20.
129740
What is the least common multiple of 140 and 200?
1400
Calculate the common denominator of 29/358 and 35/6.
1074
Calculate the common denominator of 13/10 and -37/114.
570
Find the common denominator of -73/10 and 83/14.
70
Calculate the common denominator of -19/182 and -63/104.
728
Calculate the lowest common multiple of 11 and 1796.
19756
Find the common denominator of -41/96 and 5/16.
96
What is the least common multiple of 3 and 49?
147
What is the smallest common multiple of 196 and 112?
784
Calculate the smallest common multiple of 3600 and 120.
3600
Find the common denominator of 88/735 and 19/9.
2205
Find the common denominator of -53/48 and -29/840.
1680
Calculate the least common multiple of 36 and 8.
72
What is the least common multiple of 12 and 10188?
10188
Calculate the common denominator of 11/2664 and -85/12.
2664
Calculate the common denominator of -16/21 and -157/342.
2394
Find the common denominator of 53/10710 and 65/2142.
10710
Calculate the common denominator of -40/77 and -131/70.
770
What is the least common multiple of 7374 and 42?
51618
What is the least common multiple of 2744 and 1176?
8232
What is the smallest common multiple of 5 and 1909?
9545
Calculate the lowest common multiple of 29 and 1.
29
Find the common denominator of 37/4845 and 47/8.
38760
What is the common denominator of -16/35 and 25/21?
105
What is the least common multiple of 3283 and 21?
9849
What is the common denominator of 179/60 and -11/216?
1080
What is the common denominator of 17/988 and 1/380?
4940
What is the common denominator of 31/22 and 83/8730?
96030
What is the least common multiple of 6 and 78?
78
Calculate the common denominator of -3/55 and -9/25.
275
What is the least common multiple of 20 and 1912?
9560
What is the least common multiple of 15 and 205?
615
Calculate the least common multiple of 1090 and 8.
4360
Calculate the common denominator of 89/8 and 75/104.
104
What is the common denominator of 1/24 and -83/180?
360
Find the common denominator of 41/77 and 65/693.
693
Find the common denominator of 101/858 and -37/754.
24882
Calculate the common denominator of -9/4 and -45/911.
3644
What is the smallest common multiple of 47 and 1136?
53392
What is the common denominator of -29/63 and 55/36?
252
Find the common denominator of 23/18 and 97/4.
36
Find the common denominator of 44/315 and 55/21.
315
Find the common denominator of -95/1422 and -47/162.
12798
What is the common denominator of 83/24 and 125/3186?
12744
Calculate the least common multiple of 138 and 92.
276
What is the smallest common multiple of 2514 and 2933?
17598
Calculate the smallest common multiple of 80 and 24.
240
Calculate the least common multiple of 3 and 17007.
17007
Calculate the smallest common multiple of 144 and 80.
720
What is the common denominator of 1/135 and 107/540?
540
Find the common denominator of -8/819 and 22/637.
5733
What is the least common multiple of 33 and 165?
165
What is the common denominator of 131/624 and -73/416?
1248
Calculate the lowest common multiple of 14 and 336.
336
What is the common denominator of 17/364 and 11/18?
3276
What is the lowest common multiple of 4 and 3494?
6988
What is the lowest common multiple of 20 and 1246?
12460
Find the common denominator of 107/780 and -5/273.
5460
What is the lowest common multiple of 360 and 420?
2520
Calculate the common denominator of 101/1404 and 29/26.
1404
What is the smallest common multiple of 4 and 598?
1196
Calculate the lowest common multiple of 32 and 48.
96
What is the common denominator of 23/602 and -99/86?
602
Calculate the smallest common multiple of 119 | {
"pile_set_name": "DM Mathematics"
} |
s digit of 9646?
6
What is the units digit of 1052?
2
What is the tens digit of 344?
4
What is the hundreds digit of 3850?
8
What is the hundreds digit of 44470?
4
What is the ten thousands digit of 12618?
1
What is the units digit of 109646?
6
What is the thousands digit of 3459?
3
What is the hundreds digit of 5209?
2
What is the tens digit of 26027?
2
What is the thousands digit of 9828?
9
What is the ten thousands digit of 10502?
1
What is the tens digit of 10930?
3
What is the units digit of 2528?
8
What is the hundreds digit of 77113?
1
What is the tens digit of 3133?
3
What is the units digit of 43801?
1
What is the tens digit of 1019?
1
What is the tens digit of 6645?
4
What is the thousands digit of 57918?
7
What is the thousands digit of 6143?
6
What is the units digit of 307?
7
What is the tens digit of 1891?
9
What is the hundreds digit of 857?
8
What is the units digit of 380?
0
What is the thousands digit of 1014?
1
What is the hundreds digit of 757?
7
What is the tens digit of 523?
2
What is the tens digit of 16038?
3
What is the units digit of 56253?
3
What is the hundreds digit of 11389?
3
What is the units digit of 13683?
3
What is the hundreds digit of 997?
9
What is the hundreds digit of 1757?
7
What is the hundreds digit of 4484?
4
What is the thousands digit of 1291?
1
What is the hundreds digit of 2988?
9
What is the units digit of 5989?
9
What is the tens digit of 964?
6
What is the hundreds digit of 4894?
8
What is the thousands digit of 1355?
1
What is the tens digit of 3161?
6
What is the hundreds digit of 32351?
3
What is the thousands digit of 83206?
3
What is the tens digit of 35532?
3
What is the units digit of 353?
3
What is the hundred thousands digit of 118659?
1
What is the thousands digit of 8411?
8
What is the thousands digit of 48261?
8
What is the hundreds digit of 42387?
3
What is the units digit of 31600?
0
What is the hundreds digit of 19254?
2
What is the tens digit of 284?
8
What is the tens digit of 11034?
3
What is the units digit of 4092?
2
What is the units digit of 24492?
2
What is the units digit of 857?
7
What is the hundreds digit of 94475?
4
What is the hundreds digit of 1103?
1
What is the units digit of 11644?
4
What is the hundred thousands digit of 104522?
1
What is the units digit of 2604?
4
What is the units digit of 15726?
6
What is the ten thousands digit of 93375?
9
What is the units digit of 16178?
8
What is the units digit of 89?
9
What is the thousands digit of 1134?
1
What is the tens digit of 10311?
1
What is the units digit of 104?
4
What is the units digit of 7?
7
What is the units digit of 13354?
4
What is the hundreds digit of 4120?
1
What is the units digit of 6467?
7
What is the tens digit of 693?
9
What is the thousands digit of 2418?
2
What is the units digit of 16962?
2
What is the tens digit of 1129?
2
What is the tens digit of 681?
8
What is the units digit of 37791?
1
What is the thousands digit of 60516?
0
What is the hundreds digit of 226?
2
What is the hundreds digit of 2122?
1
What is the units digit of 762?
2
What is the thousands digit of 3333?
3
What is the thousands digit of 5844?
5
What is the hundreds digit of 2221?
2
What is the hundreds digit of 780?
7
What is the units digit of 179141?
1
What is the ten thousands digit of 36336?
3
What is the thousands digit of 3056?
3
What is the tens digit of 380?
8
What is the hundreds digit of 7406?
4
What is the units digit of 91?
1
What is the hundreds digit of 831?
8
What is the units digit of 2927?
7
What is the thousands digit of 120869?
0
What is the units digit of 1858?
8
What is the units digit of 4478?
8
What is the hundreds digit of 13527?
5
What is the tens digit of 113442?
4
What is the units digit of 59?
9
What is the tens digit of 3080?
8
What is the units digit of 315?
5
What is the thousands digit of 5860?
5
What is the units digit of 613?
3
What is the tens digit of 2006?
0
What is the ten thousands digit of 119958?
1
What is the tens digit of 1017?
1
What is the hundred thousands digit of 132900?
1
What is the units digit of 32038?
8
What is the hundreds digit of 1390?
3
What is the units digit of 2814?
4
What is the hundreds digit of 34310?
3
What is the units digit of 37536?
6
What is the units digit of 4991?
1
What is the units digit of 11944?
4
What is the hundred thousands digit of 128372?
1
What is the hundreds digit of 10288?
2
What is the tens digit of 117330?
3
What is the thousands digit of 17577?
7
What is the hundreds digit of 4454?
4
What is the thousands digit of 1904?
1
What is the thousands digit of 18204?
8
What is the thousands digit of 5899?
5
What is the hundreds digit of 66380?
3
What is the units digit of 116948?
8
What is the tens digit of 4648?
4
What is the thousands digit of 2848?
2
What is the units digit of 105034?
4
What is the hundreds digit of 15275?
2
What is the tens digit of 4587?
8
What is the units digit of 43071?
1
What is the units digit of 8933?
3
What is the thousands digit of 8106?
8
What is the units digit of 9444?
4
What is the units digit of 906?
6
What is the units digit of 769?
9
What is the units digit of 1313?
3
What is the tens digit of 4586?
8
What is the units digit of 1328?
8
What is the tens digit of 43805?
0
What is the units digit of 1468?
8
What is the hundreds digit of 9723?
7
What is the tens digit of 83154?
5
What is the units digit of 890?
0
What is the tens digit of 73658?
5
What is the tens digit of 2850?
5
What is the units digit of 42507?
7
What is the hundreds digit of 1818?
8
What is the hundred thousands digit of 103515?
1
What is the tens digit of 625?
2
What is the hundreds digit of 328?
3
What is the units digit of 1605?
5
What is the thousands digit of 4278?
4
What is the tens digit of 2327?
2
What is the thousands digit of 3329?
3
What is the units digit of 80993?
3
What is the thousands digit of 78670?
8
What is the tens digit of 4666?
6
What is the thousands digit of 10710?
0
What is the tens digit of 918?
1
What is the units digit of 21255?
5
What is the tens digit of 1807?
0
What is the units digit of 466?
6
What is the thousands digit of 8087?
8
What is the tens digit of 24304?
0
What is the tens digit of 493?
9
What is the tens digit of 554?
5
What is the hundreds digit of 4584?
5
What is the tens digit of 1606?
0
What is the thousands digit of 1326?
1
What is the units digit of 5309?
9
What is the units digit of 3495?
5
What is the tens digit of 2014?
1
What is the units digit of 32757?
7
What is the thousands digit of 29138?
9
What is the tens digit of 639?
3
What is the tens digit of 9387?
8
What is the thousands digit of 26842?
6
What is the tens digit of 20003?
0
What is the units digit of 3850?
0
What is the hundreds digit of 12731?
7
What is the hundreds digit of 3609?
6
What is the units digit of 32551?
1
What is the tens digit of 13687?
8
What is the thousands digit of 10801?
0
What is the hundreds digit of 16181?
1
What is the tens digit of 7138?
3
What is the hundreds digit of 6222?
2
What is the tens digit of 21997?
9
What is the thousands digit of 3681?
3
What is the thousands digit of 5193?
5
What is the units digit of 2146?
6
What is the thousands digit of 6670?
6
What is the thousands digit of 116172?
6
What is the units digit of 20758?
8
What is the thousands digit of 1253?
1
What is the tens digit of 94499?
9
What is the hundreds digit of 82009?
0
What is the units digit of 28506?
6
What is the hundreds digit of 3435?
4
What is the tens digit of 2114?
1
What is the tens digit of 799?
9
What is the units digit of 797?
7
What is the hundreds digit of 4775?
7
What is the hundreds digit of 147294?
2
What is the thousands digit of 3647?
3
What is the ten thousands digit of 53783?
5
What is the tens digit of 629?
2
What is the tens digit of 9932?
3
What is the ten thousands digit of 70951?
7
What is the thousands digit of 21812?
1
What is the units digit of 2408?
8
What is the ten thousands digit of 16555?
1
What is the ten thousands digit of 13433?
1
What is the hundred thousands digit of 103460?
1
What is the tens digit of 4377?
7
What is the ten thousands digit of 49717?
4
What is the thousands digit of 30602?
0
What is the tens digit of 939?
3
What is the tens digit of 1973?
7
What is the ten thousand | {
"pile_set_name": "DM Mathematics"
} |
hat is the value of (402/2010)/(((-2)/(-25))/2)?
5
What is the value of (9/(-1))/54*36/16?
-3/8
1/(((-2)/3)/((-4)/6))
1
Evaluate (4/6*-6)/(-11).
4/11
What is the value of 2/(-5)*108/(-324)?
2/15
What is 26/26*(0/5)/(-1)?
0
What is (-4)/5*90/27?
-8/3
Evaluate (-6)/4*30/15.
-3
What is -8*-2*(-2)/(-8)?
4
Evaluate (20/(-15))/((-230)/(-15)).
-2/23
Calculate (((-4)/(-3))/2)/(10/15).
1
What is the value of 10/(-4)*(-13)/((-325)/(-70))?
7
(2/8)/((9/4)/3)
1/3
What is (-4)/(-8)*-1*0?
0
Calculate ((-18)/27)/((-4)/18).
3
36/(-315)*5/2
-2/7
What is -3*(-5)/(-30)*1?
-1/2
Evaluate ((5/(-10))/(-1))/(21/12).
2/7
Calculate (64/6)/8*-3.
-4
Evaluate 224/64*(-24)/(-14).
6
What is the value of ((-2)/(4/(-3)))/3?
1/2
Calculate (-3)/1*(70/21)/5.
-2
(24/(-4))/((-14)/7)
3
(-5)/(-8)*18/(-90)
-1/8
9/(180/5)*-1
-1/4
(-2)/(-3)*8*9/240
1/5
((-2)/(-2))/((24/(-6))/(-4))
1
Calculate (4/(-10))/((12/(-10))/(-2)).
-2/3
(-1)/((-7)/(-42))*(-1)/(-15)
-2/5
What is the value of ((-9)/((-81)/9))/9?
1/9
What is 2/((-2)/1)*(-54)/(-270)?
-1/5
What is the value of (6*12/18)/((-2)/3)?
-6
(16/6)/4*27/6
3
Calculate (1*(-3)/18)/((-59)/(-177)).
-1/2
What is the value of 9/2*4/(-24)*-4?
3
Calculate (252/567)/(2/3*3).
2/9
602/(-43)*4/(-7)
8
(6/(-5))/(-15*(-17)/1275)
-6
Evaluate ((-2)/2)/((-55)/(-110)).
-2
Calculate ((-4)/1)/(2/(-8)*4).
4
What is the value of (363/(-22))/11*16/3?
-8
What is (12/(-10))/(1026/380)?
-4/9
Evaluate ((-3)/(-1*36/(-8)))/4.
-1/6
Calculate ((-5)/9)/(10/12).
-2/3
What is the value of 27/54*(-9)/((-12)/4)?
3/2
What is the value of ((-50)/1200)/(1/2)?
-1/12
Evaluate 2*(-9)/12*(-8)/(-28).
-3/7
Evaluate 0/(-7)*3/(-12).
0
What is the value of ((-4)/10)/(147/(-105))?
2/7
Evaluate (-1)/(((-2)/(-50))/((-6)/(-15))).
-10
Calculate -15*(-4)/4*(-2)/(-10).
3
Calculate -6*5/1530*6.
-2/17
Calculate 1*-4*35/(-350).
2/5
What is the value of (12/(-42))/(1/14)?
-4
What is the value of 7/((-63)/9)*14/2?
-7
What is the value of (-22)/(-99)*-9*(-4)/14?
4/7
((-2)/4)/((-7)/42)
3
Evaluate ((-4)/(-8))/(2/(-12)).
-3
Calculate (20/35)/((-20)/280).
-8
What is (15/(-2))/(-5)*(-72)/(-54)?
2
What is the value of 2/6*0/(-36)?
0
18/4*30/675*10
2
What is the value of (-36)/60*10/(-3)?
2
Evaluate (-3)/6*1*6.
-3
What is the value of ((-1)/15)/(((-11)/18)/11)?
6/5
What is the value of 20/(-30)*12/28?
-2/7
Calculate (4/(-130))/(((-6)/(-10))/3).
-2/13
What is the value of (-2)/3*-18*(-5)/20?
-3
((8/(-8))/3)/1
-1/3
Calculate (5*(-4)/(-30))/((-1)/(-6)).
4
Calculate ((-18)/3)/((-56)/((-72)/9)).
-6/7
Calculate (-4)/4*7/(42/(-6)).
1
What is the value of 6/(-4)*-3*24/(-378)?
-2/7
Evaluate (8/1)/((-2)/1).
-4
What is the value of ((-1)/(-3))/(336/448)?
4/9
What is ((-18)/54)/((-1)/(-6))?
-2
What is ((-2)/(-110))/((-5)/(-25))?
1/11
What is (-12)/14*(-14)/8?
3/2
Evaluate (7/13)/(6/78).
7
Calculate (-198)/(-924)*8/6.
2/7
What is ((-2)/8*-4)/(1/(-2))?
-2
What is the value of ((-117)/130)/(((-12)/5)/2)?
3/4
What is (-8)/22*4*(-5)/(-40)?
-2/11
What is (20/80)/(15/(-24))?
-2/5
Evaluate 1*(-6)/2*(-12)/36.
1
Evaluate (59/(-354))/((-1)/4).
2/3
(-1)/14*(-200)/(-25)
-4/7
What is -1*(-4)/(-42)*6?
-4/7
What is the value of (-8)/(-40)*2/(-6)*-3?
1/5
Calculate 5*4/(-160)*-8.
1
What is ((3/6)/1)/(3/6)?
1
What is ((-1)/(-5))/((224/(-35))/(-8))?
1/4
(3*(-2)/(-36))/(21/882)
7
What is the value of (12/(-21))/(6*(-1)/21)?
2
What is (36/6)/(2/(-1))?
-3
What is the value of (9/(-8))/(-9)*-4?
-1/2
Evaluate ((24/110)/6)/((-88)/(-220)).
1/11
Calculate ((-2)/(-14))/(3/(-21)*-2).
1/2
What is (-7)/21*0/(-2)?
0
What is the value of ((5/6)/5)/((-8)/8)?
-1/6
Evaluate 2/6*(-9)/(-21).
1/7
2/5*15/(-15)
-2/5
Calculate -1*5/20*-4.
1
Evaluate (((-15)/(-50))/1)/(360/96).
2/25
(-8)/10*40/(-8)
4
Calculate 25/2*4/20*-1.
-5/2
What is the value of (4/30)/(8/(-36))?
-3/5
Calculate (5*3/90)/((-2)/6).
-1/2
Evaluate ((-10)/275)/((-2)/(-10)).
-2/11
What is the value of ((-396)/40)/(-33)*(-8)/(-6)?
2/5
What is the value of (-1)/(-2*4/32*-1)?
-4
Calculate (-2)/5*10*(-6)/(-12).
-2
What is the value of (-84)/(-63)*6/(-4)?
-2
Calculate (375/(-150))/(1/2).
-5
Calculate (-1)/(-15)*21/14.
1/10
What is the value of 16/32*(-6)/9*-21?
7
Calculate ((-441)/6)/7*4/6.
-7
1/((-5)/((-8)/8))
1/5
Calculate (-2)/((8/6)/(-2)).
3
Calculate 17/17*0/((-3)/(-1)).
0
Evaluate (9/(-4))/1*(-44)/11.
9
What is (-6)/(-5)*-2*5/(-3)?
4
What is the value of (1/((-18)/48))/((-6)/9)?
4
What is (-3)/27*(-3)/2?
1/6
Evaluate (64/(-24))/(-4)*(-1)/(-2).
1/3
Calculate (((-30)/(-3))/(-40))/(-1).
1/4
What is (78/(-104))/(12/32)?
-2
Evaluate ((30/25)/2)/(-3).
-1/5
Calculate ((-8)/16)/(((-2)/(-1))/(-4)).
1
(-2)/(-3)*18*(-12)/24
-6
Evaluate ((-1)/35)/((-21)/105).
1/7
Calculate 15/6*(-3)/((-12)/(-8)).
-5
What is the value of (-2)/(4*-1)*700/(-350)?
-1
What is the value of (4*(-18)/792)/((-2)/22)?
1
(6/6)/(((-6)/(-10))/(-3))
-5
Evaluate (2/(-1))/(8/(-4)).
1
((-120)/108*-3)/((-4)/6)
-5
Evaluate (-29)/(-58)*4/(-10).
-1/5
Calculate (9*(-2)/(-36))/((-1)/2).
-1
What is the value of 1/3*(-12)/4?
-1
What is (24/28)/(2*24/224)?
4
Calculate ((-4)/5)/((-16)/(-8)).
-2/5
What is 3*((-2)/5)/((-18)/10)?
2/3
What is (4/7)/((-110)/77)?
-2/5
Evaluate 9/(-36)*8/14.
-1/7
What is ((-12)/9*3)/(-10)?
2/5
Evaluate (-12)/9*4/(-24).
2/9
Evaluate 0/(((-15)/5)/(-3)).
0
What is the value of (-6)/3*1/(-2)?
1
What is the value of -1*(2/5)/((-10)/(-5))?
-1/5
Calculate (((-6)/33)/(-1))/(9/9).
2/11
What is 9*1/(-4)*(-4)/(-3)?
-3
Evaluate ((-30)/(-25))/((-2)/10).
-6
Calculate (-8)/7*259/(-222).
4/3
Calculate 1/(6*(9/8)/3).
4/9
Evaluate (1/(-8)*0)/(1*-1).
0
What is the value of (15/10)/((9/(-3))/(-12))?
6
What is (3/(-4))/((-19)/(1292/51))?
1
Evaluate 308/(-42)*(-60)/110.
4
((-1)/3*-1)/(235/(-1410))
-2
What is the value of 6/(-56)*(-40)/(-10)?
-3/7
What is the value of -1*2*(189/6)/7?
-9
What is the value of (16/70)/((-6)/15)*-14?
8
What is 7*(-6)/(-105)*-5?
-2
Calculate (2/(6/(-3)))/(-6).
1/6
Calculate 3*((-3)/(-36))/((-4)/6).
-3/8
Calculate 9*(-13)/(-78)*(-8)/3.
-4
Calculate ((-2)/16)/((32/(-8))/(-4)).
-1/8
Evaluate (-8*(-6)/144)/(2/24).
4
Calculate (-24)/81*(-6)/(-8).
-2/9
What is the value of ((-2)/2)/((-85)/(-17))?
-1/5
Calculate (-2)/56*-4*(-7)/6.
-1/6
(-6)/(-4)*(-8)/(-36)*-15
-5
What is the value of (21/3)/(84/(-24))?
-2
(-1*2/8)/(75/(-60))
1/5
(3*(-32)/(-60))/((-2)/5)
-4
Calculate (1/((-3)/(-3)))/(32/4).
1/8
What is (12/(-8))/(12/(-8))?
1
What is the value of ((-4)/(-16))/(-4*2/(-96))?
3
6/27*-3*1/1
-2/3
6/(144/4)*6/3
1/3
Calculate 15/(-18)*((-6)/(-20))/(-1).
1/4
Calculate 2*(36/66)/6.
2/11
Calculate (-3)/7*(104/(-39))/(-8).
-1/7
Evaluate (1/20)/((-28)/70).
-1/8
What is the value of -3*(((-3)/1)/(-9))/1?
-1
3/18*(-936)/78
-2
Calculate 0/(25/10*8/10).
0
Calculate ((66/15)/(-11))/(-1).
2/5
What is the value of ((9/(-6))/(-3))/((-20)/(-16))?
2/5
Evaluate (18/27)/((-4)/(-24)).
4
Calculate ((-64)/384)/((-2)/(-12)*11).
-1/11
Evaluate (0/6)/3*(-4)/12.
0
2/((-280)/(-50)*(-5)/(-2))
1/7
Calculate (1/(-1))/(3/((-66)/11)).
2
(0/(15/5))/(-2)
0
What is -7*((-10)/(-1))/10?
-7
2/(-18)*104/52
-2/9
What is the value of 24/54*6*1/4?
2/3
Evaluate (6/(-9)*12)/14.
-4/7
What is the value of (-4)/(-4)*1*(-1)/(-2)?
1/2
Evaluate (40/(-70))/((-12)/126).
6
What is the value of 2/3*3*5/(-60)?
-1/6
What is (((-3)/2)/(-3))/(33/(-396))?
-6
(21/(-14))/((-3)/6)
3
((-6)/9)/((-10)/105*7)
1
What is ((-75)/25)/(((-63)/(-12))/7)?
-4
Evaluate ((-9)/(-5))/((-6)/100*-5).
6
Calculate (20/(-8))/(1*1/2).
-5
Evaluate (24/(-504))/(1/2).
-2/21
What is the value of (55/110)/((-1)/(1*-2))?
1
Evaluate (21/(-280))/((-4)/(-20)).
-3/8
Calculate 1/((-35)/2)*224/(-32).
2/5
Calculate ((-187)/(-6732))/(2/16).
2/9
Calculate (-90)/27*(-6)/(-5).
-4
Evaluate (((-8)/10)/(-4))/(1/(-3)).
-3/5
What is the value of -2*(-3)/(-24)*10?
-5/2
What is ((-4)/(-4))/(((-4)/4)/(-3))?
3
What is the value of 3*1/(15/4)?
4/5
Calculate (-3)/(((-3)/5)/(6/15)).
2
Calculate (210/4)/(-15)*(-32)/1736.
2/31
Evaluate ((-16)/(-40))/((-4)/(20/(-13))).
2/13
What is ((-5)/70*-14)/(1/(-5))?
-5
0*(2*1)/(20/(-10))
0
Calculate ((-2)/(-44))/(((-2)/4)/1).
-1/11
Calculate (((-6)/8)/(72/(-384)))/2.
2
What is 2/(-6)*((-189)/6)/7?
3/2
-1*(-12*4/(-36))/2
-2/3
Evaluate ((-2)/(-75))/(9/(630/(-14))).
-2/15
((-1)/2)/(5/(-20)*-10)
-1/5
Evaluate 1/((12/(-3))/(-4)).
1
What is the value of ((-60)/(-18))/(6/(-9))?
-5
Calculate ((0/12)/(-6))/(2/1).
0
| {
"pile_set_name": "DM Mathematics"
} |
2 x and 2 s when four letters picked without replacement from {x: 2, s: 3}?
3/5
What is prob of picking 1 i and 2 a when three letters picked without replacement from {a: 2, i: 3}?
3/10
Calculate prob of picking 2 k and 2 u when four letters picked without replacement from kkuakkuuukukuau.
3/13
Calculate prob of picking 1 v and 2 y when three letters picked without replacement from vyyyvyyqyqyyy.
36/143
Three letters picked without replacement from feefss. What is prob of picking 2 f and 1 s?
1/10
Calculate prob of picking 1 e, 1 z, and 1 o when three letters picked without replacement from bfzzzeaeefaeoeeef.
21/680
Two letters picked without replacement from ffjffffjjf. Give prob of picking 1 j and 1 f.
7/15
Calculate prob of picking 1 o and 1 a when two letters picked without replacement from oaaaaaaaao.
16/45
Calculate prob of picking 1 p, 1 a, and 2 l when four letters picked without replacement from {z: 1, x: 1, p: 2, l: 2, a: 1}.
2/35
Three letters picked without replacement from jbqba. What is prob of picking 1 q and 2 j?
0
What is prob of picking 2 z and 1 b when three letters picked without replacement from {i: 2, e: 9, h: 3, b: 4, z: 1}?
0
Two letters picked without replacement from {r: 5, y: 3, e: 5, b: 2}. What is prob of picking 2 b?
1/105
What is prob of picking 2 a, 1 t, and 1 x when four letters picked without replacement from xaaaxxxxaxaaaataa?
27/238
Three letters picked without replacement from {k: 3, a: 2}. What is prob of picking 1 a and 2 k?
3/5
What is prob of picking 1 i and 2 k when three letters picked without replacement from iikkkkikikik?
21/44
What is prob of picking 1 d and 1 f when two letters picked without replacement from {f: 3, n: 2, d: 2, p: 5}?
1/11
What is prob of picking 1 f and 2 u when three letters picked without replacement from {f: 3, u: 8, s: 7}?
7/68
Calculate prob of picking 2 y when two letters picked without replacement from {s: 2, c: 2, y: 4, x: 2}.
2/15
What is prob of picking 3 s when three letters picked without replacement from {s: 9, g: 5}?
3/13
What is prob of picking 1 c and 1 i when two letters picked without replacement from {c: 12, i: 7}?
28/57
What is prob of picking 2 y and 1 u when three letters picked without replacement from {u: 1, y: 5, r: 1, v: 1, f: 1}?
5/42
Four letters picked without replacement from {x: 4, m: 1, y: 3, z: 5}. What is prob of picking 2 x and 2 y?
18/715
Four letters picked without replacement from {n: 8, m: 3}. Give prob of picking 2 n and 2 m.
14/55
Three letters picked without replacement from ggu. Give prob of picking 3 u.
0
What is prob of picking 1 x and 2 f when three letters picked without replacement from sssxssfxsfxxx?
5/286
Calculate prob of picking 1 b and 1 e when two letters picked without replacement from bbbgegebbbjeeb.
4/13
Two letters picked without replacement from {m: 14, c: 5}. What is prob of picking 1 c and 1 m?
70/171
Calculate prob of picking 1 r, 1 l, 1 o, and 1 k when four letters picked without replacement from {k: 1, l: 1, r: 1, o: 6}.
1/21
What is prob of picking 2 e and 1 q when three letters picked without replacement from oeeqb?
1/10
Three letters picked without replacement from {j: 1, g: 2, d: 1, m: 1, y: 4, t: 3}. What is prob of picking 1 m, 1 j, and 1 t?
3/220
Calculate prob of picking 1 b and 1 i when two letters picked without replacement from ibwiiiibbb.
4/9
Three letters picked without replacement from qdcjqj. What is prob of picking 1 q, 1 j, and 1 d?
1/5
Calculate prob of picking 1 c and 2 q when three letters picked without replacement from {j: 2, q: 2, v: 4, f: 1, a: 3, c: 3}.
3/455
What is prob of picking 3 k when three letters picked without replacement from ikiikkkkikikkkkk?
33/112
What is prob of picking 2 e and 1 x when three letters picked without replacement from xexeeeeeee?
7/15
Four letters picked without replacement from {p: 1, s: 1, n: 2, j: 4, m: 2}. Give prob of picking 1 p, 2 j, and 1 s.
1/35
Two letters picked without replacement from {s: 2, p: 4}. Give prob of picking 2 s.
1/15
Calculate prob of picking 2 l and 1 o when three letters picked without replacement from {l: 5, o: 2}.
4/7
Calculate prob of picking 1 n, 1 l, and 2 y when four letters picked without replacement from {z: 5, l: 1, y: 2, n: 1}.
1/126
What is prob of picking 1 j and 2 m when three letters picked without replacement from jnjjbmbjmjmfnnnjj?
21/680
Four letters picked without replacement from bbxbbbbbbbbbbxbbxb. What is prob of picking 3 x and 1 b?
1/204
Two letters picked without replacement from ccnnjllllanajal. Give prob of picking 1 l and 1 c.
2/21
Three letters picked without replacement from {q: 2, y: 1, v: 14}. Give prob of picking 3 v.
91/170
What is prob of picking 3 h and 1 a when four letters picked without replacement from hhhnnnhhahhhnhhnnhh?
55/969
Three letters picked without replacement from {a: 8, k: 5}. What is prob of picking 1 k and 2 a?
70/143
Two letters picked without replacement from {e: 3, v: 3, i: 1, a: 1, f: 3}. What is prob of picking 1 e and 1 a?
3/55
What is prob of picking 1 j and 1 z when two letters picked without replacement from zjzuquqqqqqqtq?
2/91
Three letters picked without replacement from {c: 9, a: 6, f: 4}. Give prob of picking 1 c and 2 f.
18/323
What is prob of picking 1 z, 1 p, and 1 i when three letters picked without replacement from iitrtrzirrpziiiiz?
21/680
Three letters picked without replacement from {b: 1, h: 3, o: 3, l: 1, s: 2, n: 9}. Give prob of picking 1 n, 1 b, and 1 h.
9/323
Calculate prob of picking 2 g when two letters picked without replacement from ccgcgg.
1/5
Three letters picked without replacement from sppps. What is prob of picking 3 p?
1/10
Two letters picked without replacement from dpddddddp. Give prob of picking 2 d.
7/12
What is prob of picking 1 f and 1 v when two letters picked without replacement from {m: 4, f: 1, q: 3, h: 4, v: 1}?
1/78
Two letters picked without replacement from nbnbbnbnnnn. What is prob of picking 2 b?
6/55
Calculate prob of picking 3 i when three letters picked without replacement from {i: 2, g: 2}.
0
Two letters picked without replacement from {f: 4, y: 1, c: 1, s: 2}. Give prob of picking 1 f and 1 s.
2/7
Three letters picked without replacement from mxxxdxxtxmtaxxtmxxh. Give prob of picking 1 d, 1 a, and 1 x.
10/969
Two letters picked without replacement from ooooooooojoo. What is prob of picking 2 o?
5/6
Two letters picked without replacement from {f: 2, t: 1, g: 2, b: 1, s: 8}. What is prob of picking 1 f and 1 g?
4/91
Two letters picked without replacement from kbzb. Give prob of picking 1 b and 1 k.
1/3
What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 2, t: 1, d: 1, i: 1, z: 1, r: 1}?
2/21
Two letters picked without replacement from rrrrrwrwrrwr. What is prob of picking 1 r and 1 w?
9/22
Three letters picked without replacement from lllalllllllaalllaaa. Give prob of picking 1 a and 2 l.
156/323
Four letters picked without replacement from {p: 1, k: 1, i: 1, u: 5, j: 1}. Give prob of picking 1 k, 2 u, and 1 i.
5/63
Four letters picked without replacement from xdzxgvzuv. What is prob of picking 1 d, 1 u, 1 x, and 1 v?
2/63
Calculate prob of picking 1 c and 2 p when three letters picked without replacement from {p: 2, c: 2}.
1/2
Two letters picked without replacement from ekkktekeuktkt. Give prob of picking 2 e.
1/26
Three letters picked without replacement from {j: 2, p: 11}. Give prob of picking 3 p.
15/26
Two letters picked without replacement from {p: 2, g: 3, q: 4, r: 7, u: 1}. What is prob of picking 2 q?
3/68
Three letters picked without replacement from {e: 1, r: 4, k: 1, l: 7, c: 4}. Give prob of picking 2 c and 1 l.
21/340
What is prob of picking 2 x when two letters picked without replacement from xpxyyjryrijyy?
1/78
Two letters picked without replacement from {v: 4, q: 9, o: 1}. What is prob of picking 2 v?
6/91
Two letters picked without replacement from aarraa. What is prob of picking 1 a and 1 r?
8/15
Four letters picked without replacement from yjxwjwybyy. What is prob of picking 1 j, 1 b, and 2 w?
1/105
Two letters picked without replacement from {l: 2, e: 10}. What is prob of picking 2 l?
1/66
Four letters picked without replacement from {a: 7, l: 3, z: 1, d: 5}. Give pr | {
"pile_set_name": "DM Mathematics"
} |
fffchff. What is prob of picking 2 f?
33/68
Four letters picked without replacement from vvwuawawvvvm. What is prob of picking 2 v, 1 m, and 1 u?
2/99
Calculate prob of picking 1 a and 2 h when three letters picked without replacement from {a: 2, k: 1, t: 9, g: 3, h: 4}.
4/323
What is prob of picking 2 l and 1 n when three letters picked without replacement from nwlewwlwe?
1/84
Two letters picked without replacement from {s: 1, i: 2, b: 2, m: 1, v: 1}. Give prob of picking 1 m and 1 s.
1/21
Three letters picked without replacement from {u: 11, z: 9}. What is prob of picking 2 z and 1 u?
33/95
Calculate prob of picking 1 j and 3 g when four letters picked without replacement from gggjjjj.
4/35
Four letters picked without replacement from ffff. What is prob of picking 4 f?
1
Calculate prob of picking 1 e and 1 l when two letters picked without replacement from prvrreevevevvel.
1/21
Four letters picked without replacement from kllblkluubll. Give prob of picking 2 u, 1 b, and 1 l.
4/165
What is prob of picking 2 h when two letters picked without replacement from {o: 2, u: 5, n: 4, h: 2, q: 1}?
1/91
Four letters picked without replacement from jxgjjjxggxgxjje. What is prob of picking 2 g and 2 x?
12/455
What is prob of picking 1 z and 2 p when three letters picked without replacement from zzzzzpnzpznnp?
21/286
Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {b: 1, d: 1, f: 1, p: 1, i: 2, h: 1}.
1/21
Two letters picked without replacement from {u: 1, j: 1, v: 2, m: 1}. Give prob of picking 1 m and 1 u.
1/10
Two letters picked without replacement from {k: 10, m: 2}. What is prob of picking 2 m?
1/66
Calculate prob of picking 1 c and 1 t when two letters picked without replacement from zcztzztzzzzczzz.
4/105
Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {w: 4, a: 3, y: 1, t: 4, u: 1}.
2/39
Two letters picked without replacement from kkkkxkxkkxkxxxkxxkx. What is prob of picking 2 k?
5/19
Four letters picked without replacement from {q: 2, z: 9}. Give prob of picking 4 z.
21/55
Four letters picked without replacement from {d: 7, t: 2, j: 1, v: 4, p: 2, y: 1}. Give prob of picking 1 d, 1 y, and 2 v.
3/170
Three letters picked without replacement from yyyccvvyy. Give prob of picking 3 y.
5/42
Four letters picked without replacement from ibsibsibbbbbssbi. Give prob of picking 2 s and 2 i.
9/455
Three letters picked without replacement from jjdjtjjjtjjjjjjjj. What is prob of picking 2 j and 1 d?
91/680
Calculate prob of picking 1 d and 2 f when three letters picked without replacement from {m: 1, d: 6, f: 2, v: 3}.
3/110
Four letters picked without replacement from rrvgvrrrggrgg. What is prob of picking 2 r and 2 v?
3/143
Two letters picked without replacement from {i: 1, e: 1, m: 1}. What is prob of picking 1 e and 1 i?
1/3
Two letters picked without replacement from {m: 1, y: 2, t: 1, b: 2}. What is prob of picking 1 t and 1 m?
1/15
Four letters picked without replacement from {h: 1, f: 3, y: 3, w: 3, j: 1, x: 2}. Give prob of picking 3 y and 1 j.
1/715
Two letters picked without replacement from zgz. What is prob of picking 2 z?
1/3
What is prob of picking 1 p, 1 b, and 1 f when three letters picked without replacement from {k: 1, b: 2, p: 1, m: 2, f: 1}?
2/35
Calculate prob of picking 1 q and 3 x when four letters picked without replacement from {x: 1, q: 3}.
0
Four letters picked without replacement from xxxxxxxxx. What is prob of picking 4 x?
1
Calculate prob of picking 3 k when three letters picked without replacement from {k: 10}.
1
Calculate prob of picking 1 e, 1 m, and 2 p when four letters picked without replacement from mejeuepmememepjp.
18/455
Two letters picked without replacement from laggzlgagzz. What is prob of picking 1 g and 1 l?
8/55
What is prob of picking 1 e, 2 g, and 1 v when four letters picked without replacement from {g: 7, v: 2, e: 5}?
30/143
Calculate prob of picking 1 p and 1 f when two letters picked without replacement from pfaa.
1/6
Four letters picked without replacement from {l: 15, o: 4}. What is prob of picking 3 o and 1 l?
5/323
Two letters picked without replacement from mmmmmmm. Give prob of picking 2 m.
1
Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kokbkbbkbokb.
25/66
What is prob of picking 3 e and 1 c when four letters picked without replacement from {y: 1, o: 6, c: 1, e: 8}?
2/65
What is prob of picking 1 l and 2 s when three letters picked without replacement from sisaslsl?
3/14
Calculate prob of picking 2 r and 1 n when three letters picked without replacement from {n: 7, r: 6}.
105/286
Four letters picked without replacement from sisisss. Give prob of picking 4 i.
0
Calculate prob of picking 2 u when two letters picked without replacement from {u: 19, g: 1}.
9/10
Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {u: 4, t: 6, h: 3}.
18/715
Two letters picked without replacement from {d: 1, h: 2, e: 1, j: 1, z: 1, n: 2}. Give prob of picking 1 e and 1 j.
1/28
What is prob of picking 1 v and 2 f when three letters picked without replacement from {a: 1, v: 2, j: 1, f: 4, h: 2, w: 4}?
3/91
Four letters picked without replacement from jjjjiodjjjjujjujj. Give prob of picking 2 u, 1 o, and 1 d.
1/2380
Two letters picked without replacement from ysdtkdtdyzydd. Give prob of picking 1 z and 1 s.
1/78
Four letters picked without replacement from {o: 1, p: 12}. Give prob of picking 3 p and 1 o.
4/13
What is prob of picking 1 a, 1 k, and 1 f when three letters picked without replacement from {p: 2, q: 1, f: 1, a: 1, u: 1, k: 1}?
1/35
What is prob of picking 2 v when two letters picked without replacement from aavavaaaaaavvaav?
1/12
Calculate prob of picking 1 f and 1 j when two letters picked without replacement from bbmjfja.
2/21
Calculate prob of picking 3 y and 1 m when four letters picked without replacement from {c: 1, y: 10, u: 2, e: 1, m: 2}.
12/91
What is prob of picking 1 w, 1 t, and 1 l when three letters picked without replacement from llwldelllttlecwwew?
7/102
Two letters picked without replacement from {l: 7, e: 2, b: 1, v: 7}. What is prob of picking 1 e and 1 l?
7/68
Four letters picked without replacement from {p: 3, y: 2, j: 2, q: 4}. Give prob of picking 3 p and 1 q.
2/165
Three letters picked without replacement from {h: 4, e: 2, v: 4}. What is prob of picking 1 v, 1 e, and 1 h?
4/15
What is prob of picking 2 h and 1 r when three letters picked without replacement from hrrhrrrhrrr?
8/55
Two letters picked without replacement from xhxx. Give prob of picking 2 x.
1/2
Three letters picked without replacement from sslnsnlllssmnsslm. Give prob of picking 1 s and 2 n.
21/680
Four letters picked without replacement from {d: 1, v: 1, k: 2, i: 1}. Give prob of picking 1 i, 2 k, and 1 v.
1/5
Calculate prob of picking 1 w, 1 k, and 1 m when three letters picked without replacement from {k: 1, b: 1, m: 1, w: 1, q: 1, j: 2}.
1/35
Three letters picked without replacement from zzxjujjzzx. Give prob of picking 3 z.
1/30
Two letters picked without replacement from {p: 6, h: 2}. Give prob of picking 2 p.
15/28
What is prob of picking 1 q, 1 c, and 1 y when three letters picked without replacement from {y: 1, c: 3, v: 2, l: 1, d: 8, q: 1}?
3/560
Two letters picked without replacement from {n: 2, q: 2, e: 11}. What is prob of picking 2 e?
11/21
What is prob of picking 1 c and 3 x when four letters picked without replacement from sxcxgxcgx?
4/63
Two letters picked without replacement from lvlpaa. Give prob of picking 1 p and 1 l.
2/15
Three letters picked without replacement from {b: 3, d: 13}. What is prob of picking 1 b and 2 d?
117/280
What is prob of picking 2 s when two letters picked without replacement from {c: 2, k: 5, s: 4}?
6/55
Three letters picked without replacement from heceddededh. What is prob of picking 1 d, 1 h, and 1 c?
8/165
Two letters picked without replacement from weimmeyd. What is prob of picking 1 w and 1 y?
1/28
Two letters picked without replacement from {t: 1, p: 1, n: 3, q: 7, k: 1}. What is prob of picking 1 p and 1 t?
1/78
Two letters picked without replacement from vvvvvsvvvvssvsvvvv. What is prob of picking 2 s?
2/51
What is prob | {
"pile_set_name": "DM Mathematics"
} |
i + 4*w, -122 = -13*i - 5*w for i.
4
Solve 0*g - 4 = -2*g, 9*h - 17*g - 8*g = 12*h - 21*g - 194 for h.
62
Solve 1443*r - 1543*r + 4*n = 272, n + 44 = -3*r for r.
-4
Solve -4*d - 785 = -25*s - 855, d = 5*s + 15 for d.
5
Solve b - 5034 + 5033 = 2*a, -6*b = a + 46 for b.
-7
Solve -6*g + q + 9556 = 9574, -26 = 2*g + 3*q for g.
-4
Solve -6*a - 134 = -544*x + 548*x, -2*x + 58 = -2*a for a.
-25
Solve 0 = -v - 3*h - 40, 56922632*v = 56922634*v + 2*h + 20 for v.
5
Solve 2*u = -3*h - 6, 116240*u - 116239*u = 8*h - 3 for h.
0
Solve -5*h - 34 + 44 = 3*x + 23, -h = -30*x - 28 for x.
-1
Solve g + 36 - 27 = 2*y, 3*y - 3*g - 15 = 0 for y.
4
Solve -97*l = 5*d + 371, -d - 8 + 13 = -3*l + 12 for l.
-3
Solve -52 = 5*h - 16*z, -5*h + 5*z + 98684 = 98714 for h.
-4
Solve 0 = 22*k + 5*i - 725 + 889, -41 = 5*k + 3*i for k.
-7
Solve 4*n - 8712352*d - 4 = -8712354*d, 20 = 8*n + d for n.
3
Solve 5*b = -740*z + 741*z + 46, 5*b - 7*z = 202 for b.
4
Solve -3*m + 63 = -9*r, 698179*m - 698180*m + 5*r + 37 = 0 for m.
-3
Solve r + 0*o - 3*o = 589 - 265 - 285, 0 = r + 3*o + 45 for r.
-3
Solve 3 = -2*f - 5*v, -2*f + 572*v - 6 = 574*v for f.
-4
Solve 0*s = 4*k - s - 0*s, -2*k + 10*s - 3*s - 52 = 0 for k.
2
Solve -5*t - 95 = 5*h, -547*h - 56 = -554*h + 2*t for h.
2
Solve 464817*k - 464820*k = 5*b - 76, 4*k - 112 = -4*b for b.
-4
Solve -p - 43 = -5*s, 6*p - 4*s = -7*s + 136282 - 136276 for p.
-3
Solve 0 = -3*o + 3*k + 9, -3*o - k - k - k + 144 = 165 for o.
-2
Solve 137 + 151 = f - 3*l + 317, -2*f - 3*l = 40 for f.
-23
Solve 2*k + 8002 = -88*z, 684*k - 2*z = 688*k - 0*z + 170 for k.
3
Solve -49875*w = -4*s - 49873*w + 76, -4*w - 127 = -3*s for s.
5
Solve -5*w + 35 = 4*f - 0, 129 = -17*f + 200*w - 196*w for f.
-5
Solve 5*r = 3*t + 35, -249*t = -4*r - 252*t - 53 for r.
-2
Solve -6*i - 16 = 12*l - 10*l, 0*i = -l + 2*i - 8 for l.
-8
Solve d - 17 = 0, -3*g = 340152*d - 340154*d + 25 for g.
3
Solve 5*h - 20*l - 66 = 6*h - 6*l - 221, 0 = l - 11 for h.
1
Solve -107 = -i + 223*u + 91*u - 311*u - 7, 0 = -5*i - 2*u + 517 for i.
103
Solve -634515*r - 50 = 2*x - 634516*r, 0 = 3*r - 126 for x.
-4
Solve -4*o - c + 317 = 344, -2*c - 5 = o for o.
-7
Solve -i + 741 - 808 = -19*k, 30 = -3*k + 4*i + 79 for k.
3
Solve -174 = -2*v + 4*h, -6*v + 13*h = -10*h + 22*h - 49 for v.
1
Solve -1107*x = 5*j - 550*x - 553*x + 12, -52*j + 6*x - 458 = 0 for j.
-8
Solve 9*u - 7*u + 3*q = 0, 9*q - 2*q = u + 2*q + 7*q + 2 for u.
6
Solve 5*r + 3*z - 16 = -47, 732 = -61*z for r.
1
Solve 3*c + 13 = 46, 57*f = 14*f - 5*c + 227 for f.
4
Solve -2*j - 110 = 5*f + 222, 6*j - 5*f = 364 for j.
4
Solve -59 - 71 = 51*p - 5*g, p - 8*g + 14 = -5*g + 84 for p.
-5
Solve -2*w + 6 = r, 18713*w + 1 = 18710*w - 4*r for w.
5
Solve -2*h + 75 = -11*i - h - 7, 3*i - 20*h + 24*h - 6*h + 31 = 0 for i.
-7
Solve -4*f - 5*p = -37, -374*f + 375*f = 2*p - 7 for f.
3
Solve -2*k - 5 = -3*k - 5*j, -13 = -14*j + 4 + 39 for k.
-15
Solve 4*r + 292 = -8*b, 14*b + 4*r + 1475 - 949 = 0 for b.
-39
Solve 2*u + 23 = -5*z + 7*z - 3*u, 63 = 2*z - 13*u for z.
-1
Solve 1552*w - 1553*w + 24*o + 16 = -3*o, -w = -9*o - 16 for w.
16
Solve w + 51 = -2*r - 0*w, -2*w + 0*w + 419 = -28*r - 311 for r.
-26
Solve 19*p = 4*s - 131, 2*p + 16982943*s = 16982942*s - 1 for p.
-5
Solve 156*p = 155*p - 5*x + 21, 0 = -x + 4 for p.
1
Solve -2*l + 7 = 56*y - 75, 0*y - 3*y + 55 = 4*l for y.
1
Solve -6*k + 4*z = -10*k, -2*k + 260 - 276 = -2*z for k.
-4
Solve -g - 5*g = -g - g - 10*f + 7 + 9, 0 = 5*f - 20 for g.
6
Solve 0 = c + 3*c + a - a + 2*a - 3*a + 7, 88 = 8*a for c.
1
Solve 2 = 2*x + 8*o, 5*x + 0*o - 112 + 212 = 12*o + 105 for x.
1
Solve -2*y + y + 28 = -5*c - 4, 1010*c + 875 = -5*y for c.
-1
Solve 1878 = -3*j + 63*c + 2085, 3*c - 75 = -3*j for j.
27
Solve c = -131*h + 3884 - 3748, -3*h + 7*c = 32 for h.
1
Solve 9*v - 5*l + 4 - 22 = 0, -3*v - 638*l = -633*l + 54 for v.
-3
Solve 2*h - 19 = 3*u, 9*u - 11*u = 2*h + 2*u - 26 for h.
11
Solve 2*d + 121870 - 121866 = 14*g, 4*d - 5*g = -8 for d.
-2
Solve -2246*r + 4496*r + 3*w = 2251*r - 13, 5*r + 6*w + 40 = 0 for r.
-2
Solve -3*z + 14671 = 2*z + 5*p + 14711, 7*z + 8*p + 48 = 3*p for z.
-4
Solve -5*g = 0, 0 = 5*f - 18*g + 5*g + 22 - 77 - 30 for f.
17
Solve 3*f = -61*b + 47*b - 36, 1348*f - 1349*f - 4*b = 10 for f.
2
Solve -13 = u, 10*g = -16*u - 3*u + 15*u - 102 for g.
-5
Solve -941*o = 5*g - 939*o - 87, 50*o = 5*g - 35 for g.
17
Solve -5*c + 47*i = 960, 17862*c = 17863*c + 3*i - 56 for c.
-4
Solve 99 = -3*b + 4*n, 16*b + 735 = 24*n + 143 for b.
-1
Solve 128 = -9*z + 5*s, 2*z + 1235 = 4*s + 1195 for z.
-12
Solve 31672*k + 5*t + 83 = 31675*k, 2*t + 27 = -5*k for k.
1
Solve -1909*g - 196 = r - 1913*g, 4*r + 352 = -4*g + 11*g for r.
-4
Solve 705*k - 17 = 3*x - 4*x + 707*k, -3*x = -k - 16 for x.
3
Solve -3*q - w = -8*q + 30, 5*q - 84 + 94 = -7*w for q.
5
Solve -35*c = -39*c + 5*d - 256, 21*c + 187 = 4*d for c.
1
Solve -2*n - 28 = 6*i - 51 - 101, -67 = -2*n - 3*i for n.
5
Solve -42 = 19*z - 3*g - 54, -2*z - g - 4 = -3*z for z.
0
Solve 6*m + 285 = 13*l, 2*l - 47 - 30 - 25 = 2*m for m.
-54
Solve 0 = 2*k + 19 + 5, -2*c + 5 = -k - 9 for c.
1
Solve 0*a - 29 = -m - 9*a, -56396*m = -56400*m - 3*a - 16 for m.
-7
Solve -6*b - 378 = 2*d, -15*d = -6*d - 4*d + 13*b + 819 for d.
0
Solve -2*p = 5*s + 107, 3*s + 361*p + 81 = 364*p for s.
-23
Solve 73 = 2*f + 33*x, 101*f + x = 97*f + 41 + 40 for f.
20
Solve 0 = 8*c - 4*z + z + 220, 75*c - 78*c + z - 73 = 0 for c.
1
Solve -3*a + 11 = -0*a - 21*g - 42 + 4 - 26, -39 = -3*a + 12*g for a.
-3
Solve -4*t = -5*b - 202, -45*b + 3648*t - 1892 = 3649*t for b.
-42
Solve -3*b - 2*y - 23 = 0, 99*b - 2*y - 58 = 42*b + 53*b for b.
5
Solve -3*v = -3*m, -204320*v - 3*m = -204324*v - 4 for v.
-4
Solve 2*h - w = 18, -5*h - 70*w + 13*w = 101697 - 101147 for h.
4
Solve 2*n - 123261*p = -123263*p + 4, 0 = 5*n - 2*p + 18 for n.
-2
Solve -3*t = 2*j - 0*j + 29, -379 = j - 136*t + 259*t for j.
-10
Solve -g = 1094*w - 1102*w + 37, -2*w - 7 + 25 = -2*g for g.
-5
Solve 309*q + 24 = -b + 2*b + 313*q, 0*b + 0*b + 5*q - 20 = 0 for b.
8
Solve -9*i = -q + 34, -20*q - 361*i + 126 + 2 = -357*i for q.
7
Solve -2*y + 5*u - 27 = 25, 929*y = 926*y + u - 13 for y.
-1
Solve -30806 + 30792 = -3*v - 4*g, 3*v + 5*g - 14 = v for v.
2
Solve -21*l = -18*o - 19*l + 38, 103*o - 105*o + 22 = -2*l for o.
1
Solve 4*r + 31593*n + 353 = 31590*n, -n - 363 = 4*r for r.
-92
Solve -3166*d + 3172*d + 22 = -2*b, -2*d - 13 = -5*b for d.
-4
Solve 21*k - 23*k - 158 = -3*k - 5*q, 6*k + 8*q - 142 = 4*q for k.
3
Solve -11*p + 6*o = -64, -149715*p - 12 = -149717*p + o for p.
8
Solve 5*t + 376 - 123 = 14*w, 1368 - 1468 = 5*t - 5*w for t.
-3
Solve 2*j - 287143*b = -287147*b - 68, 5*j = -4*b - 62 for j.
2
Solve v - 7*o = -14*o + 31, 22*v - 8*o = 682 for v.
31
Solve -5*j - 5*c = -10, 61*j - 12*c = -11*c + 246 for j.
4
Solve -2*q - o = -4*q - 2, -q = 79*o - 44 - 78 - 36 for q.
0
Solve -22921*m - 16 = -22925*m - 29*y, -4*y - 20 = -0*m - 5*m for m.
4
Solve -5*x = -5*u + 5, 1633*u - 1637*u + 35*x + 190 = 0 for u.
-5
Solve 4*y - 315 - 25 = 7*g, 5*g + 5*y + 140 = 510 for g.
-4
Solve 0 = 9*y + 5*h + 115, y - 3*h - 45686 = -45713 for y.
-15
Solve 7*f + 3*h = -53, -296*h + 568*h - 282*h = -0*f + 5*f + 30 for f.
-8
Solve -19 = -3*c - 4*i, -248 = -28*c - 15373*i + 15371*i for c.
9
Solve 548*v = 538*v + 2*x + 54, -5*x - 156 = -4*v for v.
-1
Solve 31482*d - 41 = 31479*d - 2*i, -3*d = 5*i - 35 for d.
15
Solve 0 = -0*a + 2*a + 3*a - h - 81, -2*h = -13*a - 850 + 1060 for a.
16
Solve 2*v + 3*y - 103 = 0, 0 = 2*v + 978*y - 982*y + 114 for v.
5
Solve 13*v + 27 = -56*w + 26*w + 31*w, 2*w + v = -4*v - 8 for w.
1
Solve -5*h + 17 = 10*r - 6*r - 2, -51*h = -4*r + 299 for r.
11
Solve 2*a - 10 = h, 32*a + 7*h - 3*h = -344 + 424 for a.
3
Solve -4*b + 13192 = -i + 13198, 5*i + b = 6 + 3 for i.
2
Solve -5*c - 47*s = -3*c - 119, 0*s = -3*c - s - 63 + 33 for c.
-11
Solve 243*v + 2*s + 56 = -216*v + 457*v, -151 = 7*v - 2*s for v.
-23
Solve -3*x - 5*b = -68, 10312*b - 10311*b = -3*x + 16 for x.
1
Solve -12 + 140 = 5*x + 4*v, -13*x + 133 = 3*v for x.
4
Solve -2*b - 2*z = 148 - 122, -5*z + 545 = -56*b for b.
-10
Solve -21*j + l - 514 + 1176 = 604, 3*j - l - 4 = 0 for j.
3
Solve 4*j + 66 + 95 = -23*s + 118, 0 = -j + s + 23 for j.
18
Solve 2*o - t + 3 = 6*o - 10, 55*t - 15253 = o - 555*t for o.
-3
Solve -2*f - 9*s = | {
"pile_set_name": "DM Mathematics"
} |
, 0, -40, 4, -2 in descending order.
154, 4, 3, 0, -2, -40
Sort 9, -4/7, -2, 120.8.
-2, -4/7, 9, 120.8
Sort 46, 0.1, 114 in decreasing order.
114, 46, 0.1
Sort -2, -8, 0.292, 2/5 in ascending order.
-8, -2, 0.292, 2/5
Sort 0.19, 3, -5, -1/8, -1027.
-1027, -5, -1/8, 0.19, 3
Sort -2, -2/3, 5, -2/5, -222 in decreasing order.
5, -2/5, -2/3, -2, -222
Put 0.7, 4, 2/7, 235/4 in decreasing order.
235/4, 4, 0.7, 2/7
Sort -5, 1, 7, 3, -858, 2.
-858, -5, 1, 2, 3, 7
Put -0.04, -1/6, -4, 0.6591 in descending order.
0.6591, -0.04, -1/6, -4
Put -76, 1, -1390 in increasing order.
-1390, -76, 1
Sort -2/7, 0, 0.3, 1, -22, -2 in decreasing order.
1, 0.3, 0, -2/7, -2, -22
Sort 0, -9/76, 7134 in ascending order.
-9/76, 0, 7134
Put -2, 0.2, 1, -0.4, 0.006 in descending order.
1, 0.2, 0.006, -0.4, -2
Sort -4, 1, -51, 5, -10 in decreasing order.
5, 1, -4, -10, -51
Sort 0.73, -2, -27.
-27, -2, 0.73
Sort -2, -0.2, -3, 343/5, 0.1, 0.2 in descending order.
343/5, 0.2, 0.1, -0.2, -2, -3
Sort 3, -1, 1, -0.4, -101 in increasing order.
-101, -1, -0.4, 1, 3
Sort 95, -1/660, 3.
-1/660, 3, 95
Put 20, 4, -5, -3, -4, -412 in decreasing order.
20, 4, -3, -4, -5, -412
Put -45/2, -0.11, 3, 4 in ascending order.
-45/2, -0.11, 3, 4
Put -62/5, 3, 11, 0, 4 in decreasing order.
11, 4, 3, 0, -62/5
Put 31, 4, 3, -12, 30 in descending order.
31, 30, 4, 3, -12
Sort 50, -2, -0.009, -124 in decreasing order.
50, -0.009, -2, -124
Sort -3, -22, -8, -5, -76, -1.
-76, -22, -8, -5, -3, -1
Put 0, -7, -2/5, -1/5, 2, -0.013 in ascending order.
-7, -2/5, -1/5, -0.013, 0, 2
Sort 3, -3343, -42, 11 in descending order.
11, 3, -42, -3343
Sort 53, -3, 2, 762 in ascending order.
-3, 2, 53, 762
Put -48, -5, 0.14, 4 in descending order.
4, 0.14, -5, -48
Sort 8, 2, 155, -1, -2, 1 in descending order.
155, 8, 2, 1, -1, -2
Sort -3, 0.071, -118, -2, 0.4.
-118, -3, -2, 0.071, 0.4
Sort 5, -244, 2, -12 in ascending order.
-244, -12, 2, 5
Put -197, -12, -3 in decreasing order.
-3, -12, -197
Sort -1, -13, -3, -26, 0.
-26, -13, -3, -1, 0
Sort 446, 19/6, 0 in ascending order.
0, 19/6, 446
Put 2/37, -2/79, -2, 3/19, 0.4 in decreasing order.
0.4, 3/19, 2/37, -2/79, -2
Sort 22, -3, 0, -610.
-610, -3, 0, 22
Put 0.3, -0.013, 0, -1635 in ascending order.
-1635, -0.013, 0, 0.3
Put 1, 0.1, 1.432, 4, -5 in decreasing order.
4, 1.432, 1, 0.1, -5
Sort -1298, 0, 1/3, -3, 3 in descending order.
3, 1/3, 0, -3, -1298
Sort 5, 44, -81, -4, -5 in decreasing order.
44, 5, -4, -5, -81
Sort -1, -25, -3, -7, 10 in decreasing order.
10, -1, -3, -7, -25
Sort 1, 2/35, -0.05, 9, 5.
-0.05, 2/35, 1, 5, 9
Sort 0, -2, -233, -101 in ascending order.
-233, -101, -2, 0
Sort 153, -281, -8 in increasing order.
-281, -8, 153
Sort 629, 0.4, -2/9, -3, 5, 100 in descending order.
629, 100, 5, 0.4, -2/9, -3
Put -5, -29, -1, 3, 1, 163 in ascending order.
-29, -5, -1, 1, 3, 163
Put -5, 401/420, 3, -2/3 in decreasing order.
3, 401/420, -2/3, -5
Sort -6/11, 0.4, 942, 7 in increasing order.
-6/11, 0.4, 7, 942
Put -161, -3, -946, 1 in decreasing order.
1, -3, -161, -946
Put -4/51, -6, 2, 1/5, 3/4 in decreasing order.
2, 3/4, 1/5, -4/51, -6
Put -64, 3, -3, -5, -92 in decreasing order.
3, -3, -5, -64, -92
Put 2/7, 12, -41, 551, 1/4 in descending order.
551, 12, 2/7, 1/4, -41
Sort -4, 8.467, 2/11, 2/9, 4, -1.
-4, -1, 2/11, 2/9, 4, 8.467
Put 5, -2, 4479 in descending order.
4479, 5, -2
Put -244, 3, -5, -2, -16 in descending order.
3, -2, -5, -16, -244
Sort 3, -2352, -1.
-2352, -1, 3
Put 19, -0.3, -28 in decreasing order.
19, -0.3, -28
Sort -2/9, 1/12, -5, 0.5, -2337 in increasing order.
-2337, -5, -2/9, 1/12, 0.5
Sort 1, -4, 5, 13, 3, -6 in descending order.
13, 5, 3, 1, -4, -6
Put -2307, -4, -8, 24 in descending order.
24, -4, -8, -2307
Sort 401, -64, 1.
-64, 1, 401
Sort 4, 5, -2, -3/7, -0.56, -2/63 in increasing order.
-2, -0.56, -3/7, -2/63, 4, 5
Sort -0.4, 38262, 1/5 in decreasing order.
38262, 1/5, -0.4
Sort 45, -6, 16, 4 in decreasing order.
45, 16, 4, -6
Put -26/63, -13.9, -2/11, 3, 3/2 in ascending order.
-13.9, -26/63, -2/11, 3/2, 3
Put -3, -5, 2, -78, -31, 3 in decreasing order.
3, 2, -3, -5, -31, -78
Put -4, 1, -2, 1073, -3 in decreasing order.
1073, 1, -2, -3, -4
Sort 1/3, 0.01, -2/7, 3/8, -5.
-5, -2/7, 0.01, 1/3, 3/8
Sort -3, 4, 1, 67, 13, 2 in increasing order.
-3, 1, 2, 4, 13, 67
Sort -5, 1, 3, 0, 8, 32 in ascending order.
-5, 0, 1, 3, 8, 32
Put -0.1, 24365, -46, -0.2 in decreasing order.
24365, -0.1, -0.2, -46
Sort 5, 0.024, 1/6, -9/13, -5 in decreasing order.
5, 1/6, 0.024, -9/13, -5
Put -2/29, -0.3, -18/425 in ascending order.
-0.3, -2/29, -18/425
Sort -1.3, -1/2, 27, 0.4, -41 in decreasing order.
27, 0.4, -1/2, -1.3, -41
Put -0.061, 0.04, -13, 3 in increasing order.
-13, -0.061, 0.04, 3
Put -1, 4, -5, -407 in increasing order.
-407, -5, -1, 4
Put 13125, 2, 5 in descending order.
13125, 5, 2
Put 1, -2, 15, -5, 3, -47 in increasing order.
-47, -5, -2, 1, 3, 15
Put -0.05, -0.5, 19/3, -0.576, 4 in descending order.
19/3, 4, -0.05, -0.5, -0.576
Put 43, -21, -16 in ascending order.
-21, -16, 43
Put 5, 4, 1, -12, 16 in decreasing order.
16, 5, 4, 1, -12
Put 1, 417, -11 in increasing order.
-11, 1, 417
Sort 16, -0.101, 0, 3, 2/9 in decreasing order.
16, 3, 2/9, 0, -0.101
Sort -1.1, -9, -0.1071 in descending order.
-0.1071, -1.1, -9
Put 0, -4, -14, 59, 1 in descending order.
59, 1, 0, -4, -14
Sort 2, -2, -3, -137.
-137, -3, -2, 2
Sort 11, -0.3, 1, 0.3, 30, 27 in increasing order.
-0.3, 0.3, 1, 11, 27, 30
Sort 689, -3, -2, 2, -4, 186 in increasing order.
-4, -3, -2, 2, 186, 689
Put -2, -5, -4, 6, -25 in decreasing order.
6, -2, -4, -5, -25
Sort 361, -248, 3/2.
-248, 3/2, 361
Sort 34, 3/7, -3/5, 5, 6 in increasing order.
-3/5, 3/7, 5, 6, 34
Sort -0.4, 0.1, -4, 27, 2/11, -5 in descending order.
27, 2/11, 0.1, -0.4, -4, -5
Sort -164, -7, -5, 1 in ascending order.
-164, -7, -5, 1
Put 36, -30, -44 in increasing order.
-44, -30, 36
Put -6, -1, -2, 15, -3, 5 in decreasing order.
15, 5, -1, -2, -3, -6
Sort -228, 2/9, -0.3 in ascending order.
-228, -0.3, 2/9
Sort 4, -3/2, -18, -27, -2, 17/2 in increasing order.
-27, -18, -2, -3/2, 4, 17/2
Sort -28, -5, 5 in descending order.
5, -5, -28
Sort 4, -2, -3349, 1/2 in increasing order.
-3349, -2, 1/2, 4
Put -1.2, 78, 5, 4/5 in descending order.
78, 5, 4/5, -1.2
Sort -0.1, 0.5, -2, 3/7, 601, 4 in ascending order.
-2, -0.1, 3/7, 0.5, 4, 601
Sort -11, 134, -4, -1 in decreasing order.
134, -1, -4, -11
Sort -3.5, -23, 0.089 in ascending order.
-23, -3.5, 0.089
Sort -458, -5, -3, 0, -1 in descending order.
0, -1, -3, -5, -458
Sort -0.2, 202, -6, -88/29 in ascending order.
-6, -88/29, -0.2, 202
Put -0.5, 0.3, 26, 4/33, 4 in increasing order.
-0.5, 4/33, 0.3, 4, 26
Sort -30, 1, 3, -3, 29 in descending order.
29, 3, 1, -3, -30
Sort -1, -52, -3, -3/4, -1436 in descending order.
-3/4, -1, -3, -52, -1436
Sort -115, 1, 39 in descending order.
39, 1, -115
Sort 1/4, 3, -132/739 in descending order.
3, 1/4, -132/739
Sort -26, 8, 6, -5, -7 in decreasing order.
8, 6, -5, -7, -26
Sort -6/5, -0.08, 1, 5/24, -0.3 in decreasing order.
1, 5/24, -0.08, -0.3, -6/5
Sort -9, 3, 2.4, -1/5, -5, -4.
-9, -5, -4, -1/5, 2.4, 3
Put -1, 0, 5, 1702 in decreasing order.
1702, 5, 0, -1
Sort 5, 4, 2, -7, 3, -44 in decreasing order.
5, 4, 3, 2, -7, -44
Put 0, 1/2, -2/5, 0.4, 4578.8 in descending order.
4578.8, 1/2, 0.4, 0, -2/5
Put 652, 1/3, 4/5, -0.3, 0.2 in decreasing order.
652, 4/5, 1/3, 0.2, -0.3
Sort 1041, -5, 12 in decreasing order.
1041, 12, -5
Sort -166, -21, -3.
-166, -21, -3
Sort -302, -79, 3 in decreasing order.
3, -79, -302
Sort 4, -1, -3, -8, 10, 23 in ascending order.
-8, -3, -1, 4, 10, 23
Sort 17, 2132, -2 in ascending order.
-2, 17, 2132
Sort 1, -1423, 5, -6 in descending order.
5, 1, -6, -1423
Sort -0.1, 0.08, 0.4, -5, -2/5 in descending order.
0.4, 0.08, -0.1, -2/5, -5
Sort 0, 1811, 38.
0, 38, 1811
Put 23/4, -12, -56, -0.3, -3/8 in descending order.
23/4, -0.3, -3/8, -12, -56
Sort 71, 1, 7, -1 in ascending order.
-1, 1, 7, 71
Sort 4, -24, -3, 19 in decreasing order.
19, 4, -3, -24
Put 9/2, 10/23, -4, -1 in increasing order.
-4, -1, 10/23, 9/2
Put 5, -376, -80 in increasing order.
-376, -80, 5
Sort 2, -13, 350, 1, 5, 0.
-13, 0, 1, 2, 5, 350
Sort -2, 75, 1, 702, 4.
-2, 1, 4, 75, 702
Sort 0, -671, 1 in descending order.
1, 0, -671
Sort -5, -2729 | {
"pile_set_name": "DM Mathematics"
} |
4 of a hour in seconds?
900
What is five eighths of a centimeter in micrometers?
6250
What is 707376.5 millennia in years?
707376500
What is ninety-one quarters of a litre in millilitres?
22750
What is 292363.8 decades in years?
2923638
What is 45.1216 weeks in seconds?
27289543.68
What is seventeen quarters of a gram in milligrams?
4250
Convert 594.9691um to meters.
0.0005949691
What is seven halves of a hour in seconds?
12600
How many centimeters are there in eighteen fifths of a meter?
360
What is 950.581t in milligrams?
950581000000
Convert 0.7411636ns to milliseconds.
0.0000007411636
How many hours are there in five quarters of a week?
210
How many kilometers are there in 43332.99 centimeters?
0.4333299
What is 52818.15 kilograms in grams?
52818150
What is 5/4 of a litre in millilitres?
1250
What is 13/8 of a kilogram in grams?
1625
How many millilitres are there in 47/4 of a litre?
11750
Convert 338.301 millimeters to meters.
0.338301
How many millilitres are there in 0.9128618 litres?
912.8618
How many milligrams are there in twenty-six fifths of a gram?
5200
How many millilitres are there in 31/2 of a litre?
15500
How many milligrams are there in 33/5 of a gram?
6600
Convert 394.5433 litres to millilitres.
394543.3
Convert 10.32097 years to decades.
1.032097
How many years are there in 5461.269 months?
455.10575
What is fourty-seven quarters of a minute in seconds?
705
What is 7/2 of a centimeter in millimeters?
35
What is 6941.971 weeks in nanoseconds?
4198504060800000000
How many centuries are there in 8546.741 decades?
854.6741
What is 7/8 of a microgram in nanograms?
875
How many minutes are there in fourty-one sixths of a hour?
410
What is 784.2784 tonnes in micrograms?
784278400000000
What is 31/5 of a microgram in nanograms?
6200
What is seven quarters of a kilogram in grams?
1750
What is 1/4 of a micrometer in nanometers?
250
What is 821.7692ng in kilograms?
0.0000000008217692
What is 25/8 of a second in milliseconds?
3125
How many microseconds are there in 9178.313 days?
793006243200000
What is 196.438446ns in days?
0.000000000002273593125
How many minutes are there in two sevenths of a week?
2880
How many months are there in five sixths of a year?
10
How many litres are there in 3554.967 millilitres?
3.554967
How many millilitres are there in 1/4 of a litre?
250
Convert 20.18272 days to microseconds.
1743787008000
Convert 16.887129 minutes to hours.
0.28145215
What is 0.3380853ug in milligrams?
0.0003380853
What is 873098.6 millimeters in micrometers?
873098600
How many years are there in six fifths of a decade?
12
What is five eighths of a litre in millilitres?
625
What is 1/45 of a week in seconds?
13440
What is 51/4 of a hour in minutes?
765
How many months are there in 3/10 of a century?
360
What is 3/25 of a kilogram in grams?
120
What is twenty-nine fifths of a millimeter in micrometers?
5800
Convert 0.5292601 decades to millennia.
0.005292601
How many grams are there in 1/4 of a kilogram?
250
Convert 37.67769 centuries to decades.
376.7769
How many months are there in 2/15 of a millennium?
1600
How many months are there in 3/8 of a century?
450
How many centuries are there in 734.5113 years?
7.345113
Convert 308.1396 nanometers to centimeters.
0.00003081396
What is twenty-one eighths of a milligram in micrograms?
2625
How many centuries are there in 1.747518 millennia?
17.47518
What is 2.7564606 hours in days?
0.114852525
How many milliseconds are there in 3.380543 hours?
12169954.8
What is 61/2 of a litre in millilitres?
30500
Convert 6.578316l to millilitres.
6578.316
How many hours are there in 7056976.5us?
0.00196027125
What is 583.7445ug in kilograms?
0.0000005837445
What is 25/2 of a hour in minutes?
750
How many millimeters are there in 0.9514475um?
0.0009514475
How many nanometers are there in 917.294um?
917294
How many seconds are there in one sixth of a day?
14400
What is eleven halves of a century in years?
550
What is seventy-one fifths of a litre in millilitres?
14200
Convert 63342.23 days to hours.
1520213.52
What is 869.2461 millennia in months?
10430953.2
Convert 5.50419 years to decades.
0.550419
What is 13/4 of a millennium in months?
39000
What is 0.1982913 months in centuries?
0.00016524275
How many millimeters are there in 6/5 of a centimeter?
12
How many litres are there in 1067.58ml?
1.06758
What is seventeen tenths of a millennium in years?
1700
What is 20414.86l in millilitres?
20414860
Convert 0.6270603 litres to millilitres.
627.0603
What is 21/8 of a meter in millimeters?
2625
What is 15/4 of a litre in millilitres?
3750
What is one fifth of a millennium in decades?
20
What is 81497.72 millennia in centuries?
814977.2
Convert 1.389437 nanograms to micrograms.
0.001389437
How many meters are there in 7.061459um?
0.000007061459
Convert 3522.709 decades to months.
422725.08
How many kilograms are there in 7511.86g?
7.51186
How many grams are there in 0.5785268ug?
0.0000005785268
What is 65.3924 millilitres in litres?
0.0653924
How many millennia are there in 2455.1991 months?
0.204599925
What is 7/8 of a century in months?
1050
What is 13/4 of a litre in millilitres?
3250
How many seconds are there in 92.34548 days?
7978649.472
How many millilitres are there in 0.6885674 litres?
688.5674
How many milliseconds are there in 1/10 of a minute?
6000
How many millilitres are there in 1/5 of a litre?
200
How many months are there in 3/10 of a decade?
36
How many millilitres are there in 2864.719 litres?
2864719
What is thirty-four fifths of a week in minutes?
68544
How many millimeters are there in 3/50 of a meter?
60
What is twenty-one halves of a meter in millimeters?
10500
What is 0.0344836us in nanoseconds?
34.4836
How many centuries are there in 54/5 of a millennium?
108
What is 72435.96 millilitres in litres?
72.43596
How many millimeters are there in 11/2 of a meter?
5500
How many tonnes are there in 0.5314363 milligrams?
0.0000000005314363
Convert 0.4595897 millilitres to litres.
0.0004595897
What is twenty-seven halves of a millennium in centuries?
135
What is 7/4 of a second in milliseconds?
1750
What is fifty-one fifths of a meter in centimeters?
1020
How many tonnes are there in 331041.5ng?
0.0000000003310415
What is 3/40 of a micrometer in nanometers?
75
What is 795.372 minutes in milliseconds?
47722320
What is 437235.12 hours in weeks?
2602.59
What is 84.714012 nanoseconds in hours?
0.00000000002353167
Convert 42.295005 nanoseconds to hours.
0.0000000000117486125
What is 0.2368433 years in decades?
0.02368433
How many kilograms are there in 11/4 of a tonne?
2750
How many grams are there in 73500.04kg?
73500040
What is 33.376mg in micrograms?
33376
What is 0.8690678 hours in seconds?
3128.64408
What is one quarter of a microsecond in nanoseconds?
250
How many grams are there in one twentieth of a tonne?
50000
How many seconds are there in 10/3 of a hour?
12000
What is 69.30992g in tonnes?
0.00006930992
How many millilitres are there in eleven quarters of a litre?
2750
What is 3/5 of a meter in centimeters?
60
How many micrometers are there in twenty-six fifths of a millimeter?
5200
How many nanometers are there in five eighths of a micrometer?
625
How many centimeters are there in 3/32 of a kilometer?
9375
What is three eighths of a milligram in micrograms?
375
How many millilitres are there in 41/2 of a litre?
20500
What is 0.2387086 litres in millilitres?
238.7086
What is 28/3 of a day in hours?
224
What is 8/3 of a year in months?
32
How many kilograms are there in 6057.445 nanograms?
0.000000006057445
How many nanograms are there in 3/32 of a milligram?
93750
What is 927.9519l in millilitres?
927951.9
How many millilitres are there in seven quarters of a litre?
1750
How many minutes are there in 4/3 of a day?
1920
Convert 1718.162 decades to millennia.
17.18162
What is seven halves of a week in hours?
588
How many millimeters are there in 1544.254 nanometers?
0.001544254
Convert 334.0893 decades to centuries.
33.40893
How many millimeters are there in 7.974941 nanometers?
0.000007974941
How many litres are there in 0.6063ml?
0.0006063
How many nanograms are there in 59/4 of a microgram?
14750
How many millimeters are there in 3/5 of a centimeter?
6
What is 0.1854077 millilitres i | {
"pile_set_name": "DM Mathematics"
} |
+ 0*m**7 + 13/56*m**8 - 22*m + 0 + 0*m**5 + 0*m**2. What is the third derivative of i(l) wrt l?
1560*l**3
Let h(p) be the third derivative of 173*p**8/112 - 277*p**5/60 + 3*p**2 - 16. Find the third derivative of h(k) wrt k.
31140*k**2
What is the second derivative of 5*n**3 - 85*n + 33*n**2 - 22*n**2 + 2*n**3 - 4*n**3 wrt n?
18*n + 22
Let p(c) = -19*c**2 + 6*c + 6. Let s be 5 + (7 + 1)/(-2). Let j(d) = d. Let o(g) = s*p(g) - 6*j(g). Differentiate o(b) wrt b.
-38*b
Find the first derivative of -46*m**4 - 75*m**4 - 87*m**4 - 28*m**4 - 323 + 1136 wrt m.
-944*m**3
Differentiate -82 - 80*a - 535 + 67 + 310*a with respect to a.
230
Let h(j) be the second derivative of 5*j**5/12 - 2*j**3 - 3*j**2 + 13*j. Let o(b) be the first derivative of h(b). Find the first derivative of o(v) wrt v.
50*v
Let p(w) = w + 4. Let a be p(-2). What is the third derivative of 23*k**4 + k**2 - 4*k**2 - 4*k**2 + 0*k**a wrt k?
552*k
Let o(n) be the first derivative of 9*n**4 - 2*n**3/3 - 8*n**2 + 36. What is the third derivative of o(a) wrt a?
216
Let q(c) = -c**2 + 3*c - 1. Let u(o) = -327*o**2 - 480*o + 2. Let a(b) = 2*q(b) + u(b). What is the second derivative of a(d) wrt d?
-658
Let m = 7 - 4. Let c(y) = 5*y**3 + 3*y - 7. Let z(u) = 15*u**3 + 8*u - 21. Let l = -52 - -44. Let q(f) = l*c(f) + m*z(f). Differentiate q(h) wrt h.
15*h**2
Let y be (0 - 1) + 52/13. Find the second derivative of -61*g**3 - 8*g + 121*g**y - 16*g**4 - 60*g**3 wrt g.
-192*g**2
Find the third derivative of 151*c**4 - 39*c**3 - 104*c**4 - 43*c**4 + 181*c**2 wrt c.
96*c - 234
Suppose -5*g = 4*i - 18 - 11, -5*i + 29 = -g. Let n = i + -4. Find the third derivative of -3*j**6 + 6*j**2 - j**6 - 4*j**n wrt j.
-480*j**3
Let i(z) be the third derivative of -z**9/126 - z**5/20 - z**3/2 - 71*z**2. Find the third derivative of i(d) wrt d.
-480*d**3
Suppose b = -4*b - 5. Let q = 1 - b. Find the third derivative of -19 + 19 - 3*v**q + 3*v**6 wrt v.
360*v**3
Suppose -4*p + 5*v = p - 40, 0 = 3*p - 5*v - 30. What is the second derivative of -38*u**2 - p*u + 25*u**2 + 28*u**2 wrt u?
30
Let w(r) be the second derivative of 67*r**5/20 - r**4/12 + 149*r**3/6 - 3*r**2/2 - 892*r. Find the second derivative of w(z) wrt z.
402*z - 2
Let i(s) = 56*s**4 + 16*s**3 - 73*s**2. Let b(y) = 56*y**4 + 19*y**3 - 73*y**2. Let u(f) = 6*b(f) - 7*i(f). Find the third derivative of u(z) wrt z.
-1344*z + 12
Let f(r) = -26*r**4 + 6*r**3 - 5. Let b(s) be the second derivative of s**5/20 + 45*s. Let w(x) = -6*b(x) + f(x). Differentiate w(h) wrt h.
-104*h**3
Let x be (12/9)/(2/3*1). Find the third derivative of s**2 - 13*s**x - 62 + 34*s**6 + 61 wrt s.
4080*s**3
Let k(j) = -j**3 + j**2 + j. Let l(s) = -3*s**3 - 64*s**2 - 120*s. Let g(u) = 2*k(u) - l(u). What is the second derivative of g(t) wrt t?
6*t + 132
Let v be (-36)/12 + 806/2. Find the second derivative of -4*x**5 + 16 + v*x - 6*x**3 - 398*x + x**3 wrt x.
-80*x**3 - 30*x
Let h be 2/6 - 150/45. Let o be 4*(14/4 + h). Find the third derivative of -6*k**o - 17*k**2 + 6*k**5 + 31*k**2 wrt k.
360*k**2
Suppose 16*w = -6*w. Let p(d) be the third derivative of w*d + 6*d**2 + 0 + 1/2*d**3 - 1/60*d**5 + 0*d**4. What is the derivative of p(g) wrt g?
-2*g
Let o(l) be the third derivative of 0 + 6/35*l**7 + 0*l**5 + 0*l**4 + 0*l**6 + 14/3*l**3 - 31*l**2 + 0*l. Differentiate o(d) wrt d.
144*d**3
Suppose -2*l = 3*t - 2*t + 12, t + 16 = -3*l. Let s = t + 6. What is the second derivative of -5*a**4 - s*a**3 + 14*a + 2*a**3 - 11*a wrt a?
-60*a**2
Let w(d) be the third derivative of -d**7/210 - d**6/4 + 9*d**5/20 - 101*d**2. What is the third derivative of w(s) wrt s?
-24*s - 180
Let f(y) be the second derivative of -1/2*y**3 + 0*y**2 + 0 + 17/12*y**4 + 8*y. What is the second derivative of f(q) wrt q?
34
Let q(a) = -a**3 + 12*a**2 + 24. Let r be q(12). Find the third derivative of -3*m**3 + 2*m**4 - r*m**2 + 3*m**3 + 0*m**2 + 4*m**5 wrt m.
240*m**2 + 48*m
What is the derivative of -533 - 118 + 268 - 562*k**3 wrt k?
-1686*k**2
Let l = 9 + 64. Let y(w) = -15*w - 2. Let i be y(-5). Find the second derivative of -i + f**3 + l + f wrt f.
6*f
Let m be -3 - (-7 + 1 + 1). Find the third derivative of 11*o**6 - 10*o**6 - 4*o**6 + 11*o**m wrt o.
-360*o**3
Suppose -2*r = -2*p + 4, -6*r + 10*r = 5*p - 14. Find the third derivative of 20*n**6 - 55*n**p + 24*n**6 + 22*n**2 wrt n.
-1320*n**3
Let j = 53 + -36. Let t = j + -16. What is the first derivative of -19 + 8 + 2*c**4 + 3*c**4 - t wrt c?
20*c**3
What is the third derivative of -507*t**4 - 6*t**3 - 17*t**2 - 32*t**2 + 509*t**4 wrt t?
48*t - 36
Suppose 6*l = 3*l. Find the first derivative of -64*h**2 + l + 7 + 47*h**2 wrt h.
-34*h
What is the first derivative of -8943*q**2 + 92*q**3 + 8943*q**2 - 143 wrt q?
276*q**2
Let h(g) = 96*g**5 + 13*g**3 + 424*g**2 - 7. Let p(k) = 64*k**5 + 9*k**3 + 283*k**2 - 5. Let v(r) = 5*h(r) - 7*p(r). What is the third derivative of v(n) wrt n?
1920*n**2 + 12
Let n(t) = 4*t. Let d be n(1). Let m = 6 - d. Find the second derivative of -5*s**4 + s**3 + m*s - s**3 - s**4 wrt s.
-72*s**2
Let o(u) be the first derivative of -832*u**5/5 + u**3/3 - 221*u**2 + 229. Find the third derivative of o(a) wrt a.
-19968*a
Let v(k) = k**2 - 2*k - 21. Let n be v(-4). Find the third derivative of -21*a**3 - 36*a**2 - a**n - 10*a**2 wrt a.
-132
Suppose 5*l = 7*l - 10. What is the second derivative of -50*u + 63*u + 3*u**5 - 2*u**l wrt u?
20*u**3
Let t(b) be the second derivative of b**6/30 - 301*b**5/20 - 252*b**2 - 579*b. What is the derivative of t(i) wrt i?
4*i**3 - 903*i**2
Find the third derivative of -8*c + 575*c**2 + 8*c + 112*c**3 - 68*c**2 + 361*c**3 wrt c.
2838
Let u(r) = -r**3 - 8*r**2 + 2*r + 18. Let i be u(-8). Find the third derivative of y**2 + 8*y**6 + 5*y**i + 2*y**2 wrt y.
960*y**3
Let r(g) be the first derivative of 56*g**3 + 279*g**2/2 + 272. What is the second derivative of r(h) wrt h?
336
Let y(h) be the third derivative of -1/15*h**7 + 0*h**4 + 0*h**6 + 0*h - 20*h**2 + 0 + 0*h**5 - 2*h**3. Find the first derivative of y(w) wrt w.
-56*w**3
Let f be (-7)/14 - 7/(-2). Let x = f - -2. What is the second derivative of 6*y**4 + 0*y + 0*y**4 + x*y + y wrt y?
72*y**2
Let b = -1 + 4. Let t(j) = j**4 - j**3. Let g(y) = -3*y**3 + 7*y. Let i(m) = b*t(m) - g(m). Find the second derivative of i(f) wrt f.
36*f**2
Let i = -447 + 1152. Find the third derivative of 2*j**5 - 18*j**2 - i*j**4 + 705*j**4 wrt j.
120*j**2
Let g(k) = 22*k**2 + 138*k - 6. Let q(i) = 22*i**2 + 137*i - 4. Let b(m) = -2*g(m) + 3*q(m). What is the second derivative of b(u) wrt u?
44
Find the second derivative of -13*n + 37*n**2 + 59*n + 44*n + 24*n**2 wrt n.
122
Let q(w) be the third derivative of -353*w**9/504 - w**8/168 - 17*w**5/20 - w**4/12 + 4*w**2 + 9. Find the third derivative of q(f) wrt f.
-42360*f**3 - 120*f**2
Let v(s) be the second derivative of -7*s**5/10 + s**4/3 - s**3/3 - 45*s**2/2 + 41*s. What is the second derivative of v(h) wrt h?
-84*h + 8
Let i be (-8)/8 - 1*-3. Find the third derivative of 10*t**2 + 14*t**2 - 11*t**4 - 7*t**i wrt t.
-264*t
What is the first derivative of 104*r + 332 - 47*r - 120*r**2 - 58*r wrt r?
-240*r - 1
Let n(t) = -10*t**2 + 7*t - 118. Let x(r) = -19*r**2 + 13*r - 235. Let s(c) = -11*n(c) + 6*x(c). What is the derivative of s(j) wrt j?
-8*j + 1
Suppose 0 = 19*a - 6*a - 351. Find the third derivative of 11*j**2 + 15*j**3 - 22*j**3 - a*j**3 wrt j.
-204
Let p(o) be the third derivative of -11/120*o**6 + 0*o**4 + 13/30*o**5 + 0 + 0*o**3 + 26*o**2 + 0*o. What is the third derivative of p(y) wrt y?
-66
Let d(s) be the first derivative of -s**5/8 + s**4/12 + 3*s**3 - 10. Let j(p) be the third derivative of d(p). Find the first derivative of j(q) wrt q.
-15
Find the second derivative of 6*t**2 + 1496*t**3 - 412*t**3 - 2 - 13*t**2 - 520*t + 7*t**2 wrt t.
6504*t
Find the second derivative of 382*g + 58*g**4 - 526*g + 178*g**4 wrt g.
2832*g**2
Let j(l) be the first derivative of l**7/140 + l**5/30 + 3*l**3 - 1. Let q(t) be the third derivative of j(t). Find the second derivative of q(r) wrt r.
36*r
Let a be (-24)/(-10)*160/48. Find the second derivative of -10*d**3 + a*d**3 + d + 8*d wrt d.
-12*d
Suppose 4*u + 8 = 20. Find the second derivative of -13*t**u - 6*t**3 + 166*t - 200*t wrt t.
-114*t
Find the third derivative of 16*i**3 - 95*i** | {
"pile_set_name": "DM Mathematics"
} |
117.
39
Calculate the highest common divisor of 92 and 414.
46
What is the highest common factor of 171 and 45?
9
What is the greatest common factor of 6 and 62?
2
What is the highest common divisor of 184 and 808?
8
What is the greatest common divisor of 5330 and 30?
10
What is the greatest common factor of 9 and 12384?
9
What is the highest common divisor of 957 and 33?
33
What is the greatest common factor of 310 and 10?
10
What is the highest common factor of 10 and 18?
2
What is the greatest common factor of 12 and 6?
6
Calculate the highest common factor of 1630 and 30.
10
What is the highest common divisor of 3492 and 24?
12
What is the highest common divisor of 140 and 196?
28
What is the highest common divisor of 1449 and 63?
63
What is the highest common divisor of 105 and 455?
35
Calculate the greatest common divisor of 200 and 150.
50
Calculate the greatest common factor of 635 and 3429.
127
Calculate the greatest common divisor of 133705 and 55.
55
What is the greatest common divisor of 5 and 3850?
5
What is the highest common divisor of 30 and 1920?
30
What is the highest common divisor of 28587 and 26?
13
Calculate the greatest common divisor of 308 and 704.
44
Calculate the greatest common factor of 44 and 11.
11
What is the greatest common factor of 8905 and 260?
65
What is the highest common factor of 598 and 437?
23
What is the highest common factor of 368 and 138?
46
What is the highest common divisor of 120 and 1128?
24
Calculate the highest common divisor of 8 and 904.
8
What is the greatest common divisor of 1608 and 552?
24
What is the highest common factor of 582 and 97?
97
Calculate the greatest common factor of 16 and 16.
16
What is the greatest common factor of 2349 and 567?
81
Calculate the greatest common divisor of 438 and 12629.
73
What is the highest common factor of 9 and 789?
3
Calculate the greatest common factor of 48 and 264.
24
Calculate the highest common divisor of 25 and 100.
25
What is the highest common divisor of 2240 and 126?
14
What is the greatest common divisor of 19 and 1368?
19
What is the greatest common factor of 15 and 8535?
15
Calculate the highest common factor of 525 and 225.
75
Calculate the greatest common factor of 8 and 568.
8
What is the highest common divisor of 336 and 476?
28
Calculate the greatest common divisor of 23967 and 9.
9
Calculate the highest common factor of 2002 and 88.
22
What is the greatest common divisor of 8 and 742?
2
What is the highest common factor of 48 and 48?
48
What is the highest common divisor of 1 and 361?
1
Calculate the greatest common divisor of 70 and 686.
14
Calculate the highest common factor of 119 and 21.
7
What is the greatest common divisor of 26 and 46072?
26
Calculate the highest common factor of 69 and 9.
3
Calculate the greatest common factor of 46 and 23.
23
Calculate the greatest common factor of 528 and 308.
44
What is the greatest common factor of 493 and 87?
29
Calculate the greatest common factor of 7178 and 74.
74
Calculate the greatest common divisor of 1908 and 6148.
212
What is the highest common factor of 1419 and 297?
33
What is the highest common divisor of 2466 and 3973?
137
Calculate the highest common factor of 110 and 110.
110
Calculate the highest common divisor of 33 and 87.
3
What is the greatest common factor of 2327 and 26?
13
Calculate the greatest common factor of 24 and 66.
6
What is the highest common divisor of 319 and 116?
29
Calculate the greatest common divisor of 72 and 477.
9
Calculate the greatest common divisor of 923 and 364.
13
What is the greatest common factor of 174 and 22272?
174
What is the greatest common divisor of 168 and 1218?
42
What is the highest common factor of 712 and 3293?
89
Calculate the greatest common factor of 3007 and 93.
31
What is the greatest common divisor of 1272 and 72?
24
Calculate the greatest common divisor of 445 and 15.
5
Calculate the greatest common factor of 19 and 247.
19
What is the greatest common divisor of 56 and 4788?
28
What is the greatest common divisor of 5207 and 41?
41
Calculate the greatest common factor of 104 and 26.
26
Calculate the highest common divisor of 775 and 50.
25
Calculate the greatest common factor of 10125 and 243.
81
Calculate the greatest common factor of 17 and 833.
17
What is the highest common divisor of 22 and 418?
22
What is the highest common divisor of 23617 and 19?
19
What is the highest common factor of 58 and 58?
58
What is the greatest common factor of 1616 and 3333?
101
What is the greatest common factor of 6 and 9?
3
What is the highest common factor of 310 and 20?
10
What is the greatest common divisor of 784 and 16?
16
Calculate the greatest common divisor of 23 and 437.
23
What is the greatest common factor of 18 and 2?
2
Calculate the greatest common factor of 15 and 5.
5
What is the greatest common factor of 5915 and 35?
35
Calculate the greatest common divisor of 100 and 15.
5
What is the greatest common divisor of 1580 and 100?
20
Calculate the highest common factor of 6236 and 8.
4
Calculate the greatest common divisor of 2016 and 1120.
224
Calculate the highest common factor of 880 and 160.
80
Calculate the highest common factor of 18 and 33.
3
Calculate the highest common factor of 96 and 11.
1
What is the highest common divisor of 3480 and 135?
15
Calculate the greatest common divisor of 1812 and 8003.
151
What is the greatest common factor of 341 and 121?
11
Calculate the highest common factor of 805 and 575.
115
What is the greatest common divisor of 72 and 3576?
24
Calculate the highest common factor of 14990 and 10.
10
What is the highest common factor of 5724 and 6?
6
What is the highest common divisor of 2 and 86?
2
Calculate the highest common divisor of 57 and 3.
3
Calculate the highest common factor of 664 and 83.
83
What is the highest common divisor of 270 and 36?
18
What is the highest common divisor of 14 and 301?
7
Calculate the greatest common divisor of 1955 and 115.
115
What is the highest common factor of 50 and 12150?
50
Calculate the highest common factor of 756 and 28.
28
What is the greatest common divisor of 329 and 7?
7
Calculate the greatest common divisor of 1884 and 456.
12
Calculate the highest common factor of 2392 and 6624.
184
What is the greatest common factor of 6 and 20?
2
Calculate the highest common divisor of 22 and 7810.
22
What is the highest common factor of 973 and 7?
7
Calculate the greatest common divisor of 222 and 777.
111
Calculate the highest common divisor of 408 and 51.
51
What is the greatest common factor of 105 and 195?
15
What is the greatest common factor of 32 and 32?
32
What is the greatest common factor of 377 and 116?
29
What is the greatest common factor of 65 and 104?
13
What is the highest common divisor of 396 and 144?
36
What is the greatest common divisor of 91 and 39?
13
What is the highest common divisor of 6181 and 14?
7
What is the greatest common divisor of 17 and 629?
17
What is the greatest common factor of 4950 and 27?
9
What is the greatest common factor of 9 and 2367?
9
Calculate the greatest common factor of 36 and 6282.
18
What is the highest common factor of 989 and 23?
23
Calculate the greatest common divisor of 64 and 2.
2
Calculate the highest common divisor of 256 and 16.
16
What is the greatest common factor of 93 and 15717?
93
Calculate the highest common divisor of 180 and 8670.
30
Calculate the highest common factor of 17 and 2533.
17
What is the greatest common divisor of 87 and 6931?
29
What is the highest common factor of 110 and 1595?
55
Calculate the highest common divisor of 2506 and 210.
14
Calculate the highest common divisor of 90 and 450.
90
What is the greatest common divisor of 75 and 125?
25
What is the greatest common divisor of 5 and 10265?
5
Calculate the greatest common divisor of 32 and 84.
4
Calculate the greatest common factor of 1430 and 65.
65
What is the greatest common divisor of 19 and 69749?
19
What is the greatest common divisor of 525 and 63?
21
Calculate the greatest common factor of 34 and 221.
17
Calculate the greatest common divisor of 1003 and 767.
59
Calculate the greatest common divisor of 68849 and 121.
121
What is the highest common divisor of 66 and 594?
66
What is the highest common fact | {
"pile_set_name": "DM Mathematics"
} |
composite?
True
Is 13281533 composite?
True
Is 4559147 a composite number?
False
Is 181858969 composite?
False
Is 133473593 composite?
True
Is 6764489 prime?
False
Is 85117 a prime number?
False
Is 193788553 a composite number?
True
Is 167737 composite?
True
Is 60715679 a prime number?
False
Is 214700179 a prime number?
False
Is 6419519 composite?
True
Is 3720415 a prime number?
False
Is 2693591 composite?
False
Is 704747 prime?
True
Is 1909793 a prime number?
False
Is 4502489 a prime number?
True
Is 613453339 a prime number?
False
Is 630577 composite?
False
Is 172128323 composite?
True
Is 827422 composite?
True
Is 76205027 a composite number?
True
Is 176234983 a composite number?
False
Is 6869693 composite?
True
Is 22659629 prime?
True
Is 4819667 a prime number?
True
Is 20725241 a prime number?
True
Is 7753511 a prime number?
False
Is 70054553 composite?
False
Is 23798867 a prime number?
False
Is 27984631 a composite number?
False
Is 30717431 composite?
False
Is 121870211 prime?
True
Is 78108647 prime?
True
Is 705437 a composite number?
False
Is 76189859 composite?
False
Is 20525971 composite?
False
Is 3056327 a composite number?
False
Is 3243613 composite?
False
Is 291150943 a prime number?
True
Is 18504082 prime?
False
Is 109699867 composite?
True
Is 5946869 composite?
False
Is 10760489 a prime number?
True
Is 65642077 a prime number?
True
Is 12515743 composite?
False
Is 151133803 a composite number?
False
Is 166719431 a composite number?
True
Is 75800323 prime?
False
Is 1933753 a composite number?
True
Is 148145119 a prime number?
False
Is 6326501 a prime number?
False
Is 15847813 composite?
True
Is 3578429 a prime number?
False
Is 5169701 a prime number?
False
Is 96676757 composite?
False
Is 424079 composite?
False
Is 8257307 composite?
False
Is 1838626 composite?
True
Is 4247437 prime?
False
Is 1810727 a composite number?
True
Is 40928507 a composite number?
False
Is 74615133 a prime number?
False
Is 4043483 prime?
True
Is 83741501 composite?
True
Is 41458987 a composite number?
True
Is 8830529 composite?
True
Is 123045211 composite?
False
Is 1795819 composite?
True
Is 6845423 a composite number?
True
Is 31770359 a prime number?
True
Is 32199891 composite?
True
Is 11161321 a composite number?
False
Is 135369511 a composite number?
False
Is 13024507 a prime number?
True
Is 407024701 prime?
False
Is 2454461 composite?
True
Is 537839 a composite number?
True
Is 10208189 a composite number?
True
Is 7758223 a composite number?
True
Is 7163983 a composite number?
False
Is 63406327 a composite number?
False
Is 65332021 prime?
False
Is 408282947 prime?
True
Is 18415627 a composite number?
False
Is 118024861 a prime number?
False
Is 61459337 a composite number?
False
Is 603431 prime?
True
Is 62953907 composite?
True
Is 48264779 composite?
False
Is 79953395 prime?
False
Is 266897743 a composite number?
True
Is 1249999 composite?
False
Is 8897201 composite?
True
Is 126773249 a composite number?
True
Is 933994 a composite number?
True
Is 3040055 a composite number?
True
Is 17633621 composite?
False
Is 76907 a prime number?
True
Is 110472823 a prime number?
True
Is 497323 a composite number?
False
Is 9712609 a composite number?
False
Is 5851831 prime?
True
Is 453533 composite?
True
Is 79949297 a prime number?
True
Is 236571683 a prime number?
True
Is 377045173 a composite number?
True
Is 49683827 a composite number?
False
Is 7802647 prime?
False
Is 10218343 a composite number?
True
Is 28046807 composite?
True
Is 20901581 composite?
False
Is 89591 a composite number?
False
Is 2523569 composite?
False
Is 5858266 composite?
True
Is 1010567989 a composite number?
True
Is 67157521 composite?
True
Is 60916177 composite?
True
Is 273549 a prime number?
False
Is 5375963 composite?
True
Is 2403619 a composite number?
False
Is 3983803 composite?
True
Is 3762043 a prime number?
False
Is 25548499 prime?
True
Is 20120053 composite?
True
Is 32735491 composite?
True
Is 1104209045 composite?
True
Is 320970239 a prime number?
True
Is 70096339 a composite number?
True
Is 1489211 prime?
False
Is 50450831 a prime number?
True
Is 5907113 composite?
True
Is 2413487 prime?
False
Is 43016851 a prime number?
False
Is 422156441 composite?
True
Is 103502981 composite?
False
Is 116341361 composite?
False
Is 316802663 composite?
True
Is 101627 a prime number?
True
Is 2100781 a prime number?
True
Is 4374074 composite?
True
Is 212780699 a composite number?
False
Is 10598054 composite?
True
Is 3788831 a composite number?
True
Is 6285179 a composite number?
False
Is 7671094 a composite number?
True
Is 3202415 a prime number?
False
Is 2546497 a composite number?
False
Is 4044319 composite?
False
Is 53075707 a prime number?
False
Is 15647909 prime?
False
Is 1460567 a composite number?
False
Is 2556341 a composite number?
True
Is 558127 a prime number?
False
Is 472048069 a composite number?
True
Is 179778683 a prime number?
False
Is 351317 a prime number?
False
Is 848580167 a prime number?
False
Is 22953466 a composite number?
True
Is 13644346 prime?
False
Is 7867607 composite?
True
Is 377872097 a composite number?
False
Is 25381771 prime?
True
Is 239327741 a prime number?
True
Is 1070309 a prime number?
True
Is 120870617 a composite number?
True
Is 63126181 a prime number?
False
Is 135092231 a prime number?
True
Is 342525817 a prime number?
False
Is 9829 composite?
False
Is 15764447 a prime number?
True
Is 1016839 composite?
False
Is 28835341 composite?
True
Is 3167747 composite?
True
Is 262301909 prime?
True
Is 581393 prime?
True
Is 2340923 a composite number?
True
Is 755101 composite?
True
Is 3179551 composite?
False
Is 168990961 a composite number?
True
Is 328412423 a composite number?
True
Is 337641487 a prime number?
True
Is 19823543 composite?
False
Is 375937787 a prime number?
True
Is 4294603 composite?
True
Is 11887469 a composite number?
True
Is 2551771 a composite number?
True
Is 6846473 a composite number?
False
Is 41619547 a composite number?
False
Is 4928327 a prime number?
False
Is 105002967 a composite number?
True
Is 8161427 composite?
False
Is 2718169 composite?
False
Is 2798889 a prime number?
False
Is 83969881 composite?
False
Is 72201923 a composite number?
False
Is 4221713 a composite number?
False
Is 2647786 a prime number?
False
Is 1750681 composite?
False
Is 12775407 a composite number?
True
Is 27147173 a prime number?
True
Is 10911289 composite?
True
Is 3854141 composite?
True
Is 92560369 a composite number?
True
Is 1799867 a composite number?
False
Is 207928151 prime?
True
Is 4368757 a composite number?
True
Is 1062343 prime?
True
Is 7567993 a composite number?
True
Is 1401937 a composite number?
False
Is 22440443 prime?
False
Is 1010333 a prime number?
False
Is 374260703 a prime number?
True
Is 21216047 prime?
True
Is 519383057 composite?
False
Is 2477873 prime?
False
Is 157849691 a prime number?
False
Is 224815433 prime?
False
Is 23941103 a composite number?
False
Is 3155327 composite?
True
Is 43673587 a composite number?
False
Is 5194781 a prime number?
True
Is 1114793 composite?
True
Is 9074657 composite?
True
Is 1148921 prime?
True
Is 95734523 a composite number?
False
Is 951233489 prime?
True
Is 49648853 composite?
False
Is 53679023 a prime number?
True
Is 110797979 prime?
False
Is 548819 composite?
True
Is 1987789 a prime number?
True
Is 40366169 a composite number?
False
Is 124991617 prime?
True
Is 23549051 a composite number?
True
Is 588323 a prime number?
False
Is 1663049 composite?
True
Is 2343737 composite?
True
Is 98136089 a composite number?
False
Is 198179665 composite?
True
Is 8833537 a prime number?
False
Is 2020019 a prime number?
True
Is 21602503 composite?
True
Is 334159 a prime number?
False
Is 62761301 composite?
True
Is 17128153 prime?
False
Is 2581027 composite?
False
Is 307685841 a composite number?
True
Is 7415657 prime?
False
Is 7379843 composite?
True
Is 19177567 prime?
True
Is 129593 a prime number?
True
Is 23034307 a composite number?
False
Is 4784597 a prime number?
True
Is 5702303 prime?
False
Is 1953233 a composite number?
False
Is 562084723 composite?
True
Is 9921053 prime?
True
Is 85590955 composite?
True
Is 33750883 prime?
True
Is 230742643 a composite number?
True
Is 203735839 a composite number?
False
Is 6518783 a co | {
"pile_set_name": "DM Mathematics"
} |
*3 - c**2 + 11
Let n(u) = u + 1. Let j(r) = -4*r - 3. Let c(b) = j(b) + 3*n(b). Let m(x) = -2*x**2 - 12*x - 2. Calculate -12*c(k) + m(k).
-2*k**2 - 2
Let n(v) = 66*v**2 + 8*v. Let x(f) = 22*f**2 + 3*f. What is -3*n(l) + 8*x(l)?
-22*l**2
Let o(u) = -u**2 - u + 1. Let p(z) = -7*z**3 + 2*z**2 + 2*z - 2. Give 2*o(v) + p(v).
-7*v**3
Let j(b) = -5*b**3 - 4*b**2 - 5*b. Let k(n) = -6*n - 7*n**2 - 51*n**3 - 3*n + 42*n**3. Give -5*j(p) + 3*k(p).
-2*p**3 - p**2 - 2*p
Let b(n) = 3*n - 11. Suppose 0 = -0*p + 5*p - h - 17, -1 = -4*p + 5*h. Let z = p - -7. Let u(y) = y - 4. Let t = -7 + 3. Give t*b(x) + z*u(x).
-x
Let f(l) = 2. Let j(n) = -5 - 3 + 9 + n + 0. Give -f(p) + 2*j(p).
2*p
Let k = 0 - -3. Let j(h) = -5*h**3 + 4*h + 4. Let b(n) = 14*n**3 - 11*n - 11. Suppose -2*w = -24 + 8. What is k*b(q) + w*j(q)?
2*q**3 - q - 1
Let z(u) = -11*u + 1. Let o(h) = 6*h. Calculate -7*o(x) - 4*z(x).
2*x - 4
Let s(v) = -6*v**2 + 6*v - 2. Let c be (5 + -4)/1*2. Let l(r) = -2*r - 2 - 7*r**c - 2*r + 11*r. Calculate 5*l(f) - 6*s(f).
f**2 - f + 2
Let p(u) = -4*u**2 + 5*u + 6. Let b(n) = -6*n - n**2 + 5*n + 1 + 2*n. Calculate -6*b(o) + p(o).
2*o**2 - o
Let h(f) = 5*f**2. Let i = 91 + -80. Let q(t) = -2*t**2. What is i*q(v) + 4*h(v)?
-2*v**2
Let m(s) = 11*s**3 - 8*s**2 - 14*s + 11. Let l(t) = -7*t**3 + 5*t**2 + 9*t - 7. Calculate -8*l(r) - 5*m(r).
r**3 - 2*r + 1
Let h(q) = -q. Let u(v) = 11*v + 1. Let o(i) = -12*i - 2. Let b(j) = -3*o(j) - 4*u(j). Give b(r) - 5*h(r).
-3*r + 2
Let x(b) = -4*b**3 - 5*b**2 + 4*b + 2. Suppose -5*a - 11 = 9. Let c(i) = 4*i**3 + 4*i**2 - 3*i - 2. What is a*c(g) - 3*x(g)?
-4*g**3 - g**2 + 2
Let r(k) = 7*k - 3. Let b be (0 + 2)/(2/24). Suppose -2*p = -4*j - 5*p + 38, -b = -2*j - 4*p. Let v(u) = -11*u + 5. Give j*r(z) + 5*v(z).
z + 1
Let l(h) = -2*h**2 + 5*h. Let f(n) = n**2 - 2*n. Suppose 4 = 4*m - 3*m. Let r = 2 - m. Let b(a) = a**2 + 7*a + 5. Let w be b(-5). Calculate r*l(c) + w*f(c).
-c**2
Let f(d) = -d - 1. Let s(m) = -7*m**2 + 6*m + 1. Give 6*f(n) + s(n).
-7*n**2 - 5
Let i(r) = 5*r**2 - 8*r + 3. Let u(b) = b**2 - b + 1. Give i(z) - 6*u(z).
-z**2 - 2*z - 3
Let g(p) = 6*p + 15. Let r(o) = o**3 - 11*o**2 + 12*o - 5. Let d be r(10). Let s(n) be the first derivative of n**2/2 + 2*n - 2. Give d*s(v) - 2*g(v).
3*v
Let i(c) be the third derivative of -5*c**4/12 - c**3/6 + 3*c**2. Let s(r) = 3*r. Let m(n) = 2*n**2 - 5*n + 4. Let p be m(3). Determine p*s(t) + 2*i(t).
t - 2
Let s(r) = 1. Let c(h) = 3*h**2 - h - 1. Suppose 0 = 5*t + 1 - 6. What is t*c(a) + s(a)?
3*a**2 - a
Let i(u) = 2*u. Let w(h) = -14*h. Let c(f) = -12*i(f) - 2*w(f). Let r(q) = -9*q. Calculate 13*c(p) + 6*r(p).
-2*p
Let b(n) = 5*n**2 - 11*n - 8. Let g(d) = 2*d**2 + 8*d + 3. Let z(k) = 3*k**2 + 15*k + 6. Let m(o) = 7*g(o) - 4*z(o). Determine 3*b(i) - 8*m(i).
-i**2 - i
Let b(o) = -2*o + 3. Let r(q) = 2*q**2 + 3*q + 1. Suppose -4*w - 8 = -0*w. Let x be r(w). Let k(y) = 6*y - 8. What is x*k(g) + 8*b(g)?
2*g
Let u(o) = -3*o**2 - 7*o - 1. Let h = -4 + 7. Suppose 4*m + 43 = h*d - 0*d, 0 = -3*m + 4*d - 41. Let a(g) = -2*g**2 - 5*g - 1. Calculate m*a(c) + 5*u(c).
-c**2 + 2
Let o(a) = 32*a**2 - 14*a - 14. Let u(n) = -11*n**2 + 5*n + 5. Calculate -5*o(h) - 14*u(h).
-6*h**2
Let p(d) = 5*d**3 - 7*d**2 - 6*d - 4. Let f(l) be the second derivative of 7*l**5/10 - 5*l**4/3 - 17*l**3/6 - 11*l**2/2 + 18*l. What is 6*f(m) - 17*p(m)?
-m**3 - m**2 + 2
Let t(f) = -11*f**2 + 9*f. Let i(r) = 4*r**2 - 3*r. Give -8*i(j) - 3*t(j).
j**2 - 3*j
Let c(r) = -9*r**2 - 2*r - 7. Let u(i) = i - 3*i**2 + 4 + 9*i**2 - i**2. Suppose -6*t - 89 = 91. Let j = -26 - t. Give j*c(q) + 7*u(q).
-q**2 - q
Let j(k) = -20*k. Let z(b) = -19*b. Calculate 3*j(x) - 2*z(x).
-22*x
Let h(u) = 42*u**3 + 48*u**2 - 48*u. Let o(j) = -j**3 - j**2 + j. Give -3*h(t) - 144*o(t).
18*t**3
Let d(j) = -9*j - 5. Suppose 2*u = u - 10. Let w be (-8)/u*(-90)/(-12). Let l(r) = 8*r + 4. Calculate w*d(z) + 7*l(z).
2*z - 2
Let n = 1 - 0. Let l be (-1)/(1/n*-1). Let p(v) = -2. Let d(r) = -3*r - 3 + 2 + 2*r. What is l*p(f) - 2*d(f)?
2*f
Let u(y) = y + 1. Let z(v) = 34. Determine 2*u(p) - z(p).
2*p - 32
Let y(i) = -7*i + 5. Let g(l) = 4*l - 3. Give 5*g(x) + 3*y(x).
-x
Suppose -3*o - 11 = 10. Let v(r) = 3*r + 2. Let q(b) = -5*b - 3. Calculate o*v(f) - 4*q(f).
-f - 2
Let g(c) = 16*c**2 + 11. Let n(y) = -3*y**2 - 2. Calculate 2*g(o) + 11*n(o).
-o**2
Let y(x) = -x**3 + 12*x**2 + 9*x + 9. Let s(a) = 3*a**2 + 2*a + 2. Determine -9*s(q) + 2*y(q).
-2*q**3 - 3*q**2
Let i(c) = -c**3 - c**2 - c - 1. Suppose -f + 3 + 0 = 0. Let q(l) = -5*l**3 + 2*l**f - 5*l**3 - 4 - 5*l**2 + 2*l**3 - 4*l. What is 4*i(y) - q(y)?
2*y**3 + y**2
Let b be -7 + ((-12)/1)/(-3). Let y(g) = 3*g - 2. Let i(n) = -n + 1. Calculate b*y(s) - 8*i(s).
-s - 2
Let p(h) be the first derivative of h**2/2 - 4*h - 2. Let a be p(9). Let y(m) = -7*m**3 + 5*m - 5. Let k(j) = -6*j**3 + 4*j - 4. What is a*k(i) - 4*y(i)?
-2*i**3
Let k(d) be the first derivative of -d**2/2 + 2*d - 2. Let x be k(7). Let i(o) = 4*o - 5. Let b(t) = t - 1. Give x*b(y) + i(y).
-y
Let d(q) = -3*q - 7. Let j(v) = 4*v + 3. Let u be j(-2). Let l(w) = -3*w - 6. What is u*d(t) + 6*l(t)?
-3*t - 1
Let r(f) = -7*f**2 - 2. Suppose 6 = -0*n - 2*n. Let c be n*(-4)/6 + 1. Let m(l) = -2 + c + 2*l**2 + 2*l**2. Determine 11*m(d) + 6*r(d).
2*d**2 - 1
Let f(g) = g. Let o(l) = -34*l. Calculate 51*f(y) + o(y).
17*y
Let f(w) = 17*w + 2. Let j(n) be the first derivative of -3*n**2 - n - 2. Determine 3*f(p) + 8*j(p).
3*p - 2
Let k(m) = -2*m**2 + 5. Let l(w) = 2*w**2 - w - 5. Let f(r) = 4*k(r) + 5*l(r). Let b(i) = -i**2 + 2*i + 2. Give 5*b(z) + 2*f(z).
-z**2
Let s(t) = 7*t. Let n = 17 + -15. Let r(c) = 155*c. Calculate n*r(d) - 45*s(d).
-5*d
Suppose 3 - 18 = 3*j. Let k(s) = s**3 - 2*s**2 - 5*s + 5. Let z(x) = -x**2 - 2*x + 2. Let m = 14 - 12. What is j*z(i) + m*k(i)?
2*i**3 + i**2
Let j(l) = -9*l**3 - 4*l**2. Let g(o) = 143*o**3 + 65*o**2. What is 4*g(f) + 65*j(f)?
-13*f**3
Let m(x) = -x**2 - 202 + 100 + x + 100. Let t(k) = 1. Determine m(v) + 2*t(v).
-v**2 + v
Let x(t) = -4*t**2 + 3. Let z be (-3 + 0)*13/(-39). Let j(a) = -a**2 + 1. What is z*x(m) - 3*j(m)?
-m**2
Let x(w) = -2*w + 2. Let t(k) = -1. Determine -5*t(p) - x(p).
2*p + 3
Let h(y) = 4*y**3 + 6*y**2 - 5*y. Let s(v) be the first derivative of -v**4/2 - v**3 + v**2 + 12. Calculate 2*h(f) + 5*s(f).
-2*f**3 - 3*f**2
Let s(b) = 9*b**2 + 9*b - 2. Let f(z) = -8*z**2 - 8*z + 2. Suppose -5*y = 2*x + 3*x + 55, -15 = x + 2*y. Determine x*f(w) - 6*s(w).
2*w**2 + 2*w - 2
Let h(t) = 8*t**2 - 2*t - 7. Let u(v) = -v**2 + 1. Calculate -h(g) - 6*u(g).
-2*g**2 + 2*g + 1
Suppose -19 = -4*i + 1. Suppose i = -4*v + 21. Let j(g) = -7*g + 7. Let m(b) = 3*b - 3. Calculate v*j(s) + 10*m(s).
2*s - 2
Let a(m) = -3*m**2 - 1. Let w(f) = 3*f**2 + 1. Calculate 4*a(l) + 5*w(l).
3*l**2 + 1
Let p(j) = 12*j**2 + 4*j - 4. Let q(a) = -11*a**2 - 3*a + 3. Calculate 3*p(z) + 4*q(z).
-8*z**2
Let v(i) = -5 - 6 - 2*i + 4. Let b = -8 - 8. Let s = -10 - b. Let f(y) = 2*y + 8. Determine s*v(c) + 5*f(c).
-2*c - 2
Let d(l) = -l**2 + 1. Let j(y) = 5*y**2 - 8. Calculate -4*d(h) - j(h).
-h**2 + 4
Let n(u) = -35*u + 6. Let i(j) be the third derivative of j**4/2 - j**3/3 - 7*j**2 - 2*j. Give -17*i(v) - 6*n(v).
6*v - 2
Let p(n) = n. Let o(g) = 3*g - 2. Let b(q) = q**2 - 4*q - 1. Let x be b(4). Give x*o(i) + 5*p(i).
2*i + 2
Let l(k) = -k**2 + k - 1. Let d(o) = 6*o**2 - 3*o + 2. Let y(j) = -j - 4. Let m be y(-9). Let g be 1/(-2)*(m - 3). Give g*d(r) - 4*l(r).
-2*r**2 - r + 2
Let p(q) = 6*q**3 + 2*q**2 + 2. Let i = -3 + 5. Let s(h) = -18*h**3 - 7*h**2 - 7. Calculate i*s(r) + 7*p(r).
6*r**3
Let s = -26 + 23. Let i(u) be the second derivative of -u**3/3 + 3*u**2/2 + 2*u. Let a(p) = p - 2. Determine s*a(o) - 2*i(o).
o
Suppose -w = -4*r + 3*w - 32, -12 = -3*w. Let q(j) = 3*j + 1. Suppose 36 = -s - s. Let c(v) = -13*v - 5. What is r*c(m) + s*q(m)?
-2*m + 2
Let w(t) = -t + 1. Suppose 3*f = -2*f + 5*a - 10, -5*f - 5*a = 50. Let p(n) = n**3 + n**2 - 3*n + 2. Give f*w(o) + 2*p(o).
2*o**3 + 2*o**2 - 2
Let h(q) = -8*q + 2. Let l(g) = -3*g + 1. Let k(x) = -6*h(x) + 17*l(x). Let c(d) = -4*d + 6. Give -6*c(a) + 7*k(a).
3*a - 1
Let p(o) = -7*o**2 - 5*o - 3. Let h(c) be the second derivative of 2*c**4/3 + c**3 + 2*c**2 - 6*c. Give -5*h(j) - 6*p(j).
2*j**2 - 2
Let x(k) = 5. Let p(a | {
"pile_set_name": "DM Mathematics"
} |
r?
212
What is the square root of 258905 to the nearest integer?
509
What is the ninth root of 21044 to the nearest integer?
3
What is 6883395 to the power of 1/9, to the nearest integer?
6
What is 1214273 to the power of 1/3, to the nearest integer?
107
What is the third root of 101643 to the nearest integer?
47
What is 743730 to the power of 1/2, to the nearest integer?
862
What is the cube root of 195115 to the nearest integer?
58
What is 586172 to the power of 1/10, to the nearest integer?
4
What is 71415 to the power of 1/9, to the nearest integer?
3
What is the ninth root of 846675 to the nearest integer?
5
What is 16477666 to the power of 1/2, to the nearest integer?
4059
What is 944046 to the power of 1/3, to the nearest integer?
98
What is 5724165 to the power of 1/3, to the nearest integer?
179
What is the third root of 5208463 to the nearest integer?
173
What is 2640 to the power of 1/5, to the nearest integer?
5
What is the cube root of 1083915 to the nearest integer?
103
What is 506650 to the power of 1/2, to the nearest integer?
712
What is 589950 to the power of 1/7, to the nearest integer?
7
What is 17489751 to the power of 1/5, to the nearest integer?
28
What is the fourth root of 693 to the nearest integer?
5
What is the third root of 2453791 to the nearest integer?
135
What is the third root of 1693002 to the nearest integer?
119
What is the square root of 10503719 to the nearest integer?
3241
What is the square root of 1321176 to the nearest integer?
1149
What is 191387 to the power of 1/2, to the nearest integer?
437
What is the seventh root of 517908 to the nearest integer?
7
What is 2556319 to the power of 1/3, to the nearest integer?
137
What is 15181469 to the power of 1/3, to the nearest integer?
248
What is the third root of 2852227 to the nearest integer?
142
What is 883431 to the power of 1/3, to the nearest integer?
96
What is 2136846 to the power of 1/3, to the nearest integer?
129
What is the square root of 679348 to the nearest integer?
824
What is 20980110 to the power of 1/9, to the nearest integer?
7
What is 413 to the power of 1/8, to the nearest integer?
2
What is the tenth root of 1257882 to the nearest integer?
4
What is the fifth root of 682383 to the nearest integer?
15
What is 2439585 to the power of 1/2, to the nearest integer?
1562
What is the square root of 241991 to the nearest integer?
492
What is the fifth root of 240505 to the nearest integer?
12
What is the square root of 393763 to the nearest integer?
628
What is the cube root of 8338474 to the nearest integer?
203
What is the cube root of 37740529 to the nearest integer?
335
What is 3466225 to the power of 1/5, to the nearest integer?
20
What is 2387837 to the power of 1/10, to the nearest integer?
4
What is the square root of 1231773 to the nearest integer?
1110
What is 205816 to the power of 1/2, to the nearest integer?
454
What is the ninth root of 6455309 to the nearest integer?
6
What is 70529 to the power of 1/3, to the nearest integer?
41
What is the third root of 552728 to the nearest integer?
82
What is 10468709 to the power of 1/4, to the nearest integer?
57
What is the fifth root of 4311 to the nearest integer?
5
What is the sixth root of 566656 to the nearest integer?
9
What is the square root of 16251 to the nearest integer?
127
What is the sixth root of 333820 to the nearest integer?
8
What is the tenth root of 1462959 to the nearest integer?
4
What is 363378 to the power of 1/3, to the nearest integer?
71
What is the third root of 6570 to the nearest integer?
19
What is 342220 to the power of 1/5, to the nearest integer?
13
What is the cube root of 91275 to the nearest integer?
45
What is the cube root of 2282906 to the nearest integer?
132
What is 17183614 to the power of 1/2, to the nearest integer?
4145
What is 9439135 to the power of 1/3, to the nearest integer?
211
What is 868923 to the power of 1/2, to the nearest integer?
932
What is the cube root of 202566 to the nearest integer?
59
What is the cube root of 4756582 to the nearest integer?
168
What is 2043749 to the power of 1/4, to the nearest integer?
38
What is the square root of 27609101 to the nearest integer?
5254
What is the third root of 1474968 to the nearest integer?
114
What is the seventh root of 9522 to the nearest integer?
4
What is 950187 to the power of 1/2, to the nearest integer?
975
What is the cube root of 824923 to the nearest integer?
94
What is 662257 to the power of 1/2, to the nearest integer?
814
What is the square root of 240818 to the nearest integer?
491
What is the seventh root of 3410562 to the nearest integer?
9
What is 195156 to the power of 1/2, to the nearest integer?
442
What is 110004 to the power of 1/3, to the nearest integer?
48
What is 632497 to the power of 1/3, to the nearest integer?
86
What is 11983861 to the power of 1/3, to the nearest integer?
229
What is the third root of 203831 to the nearest integer?
59
What is the ninth root of 167786 to the nearest integer?
4
What is the square root of 769970 to the nearest integer?
877
What is 340800 to the power of 1/3, to the nearest integer?
70
What is the sixth root of 359130 to the nearest integer?
8
What is the third root of 728896 to the nearest integer?
90
What is the ninth root of 26023895 to the nearest integer?
7
What is 319418 to the power of 1/2, to the nearest integer?
565
What is the third root of 3935288 to the nearest integer?
158
What is the tenth root of 403904 to the nearest integer?
4
What is the square root of 801022 to the nearest integer?
895
What is the square root of 14004128 to the nearest integer?
3742
What is the ninth root of 10413715 to the nearest integer?
6
What is the fourth root of 8345530 to the nearest integer?
54
What is 289182 to the power of 1/2, to the nearest integer?
538
What is 6848028 to the power of 1/3, to the nearest integer?
190
What is the sixth root of 228767 to the nearest integer?
8
What is 20582039 to the power of 1/4, to the nearest integer?
67
What is 1144191 to the power of 1/2, to the nearest integer?
1070
What is the third root of 168940 to the nearest integer?
55
What is 2195824 to the power of 1/2, to the nearest integer?
1482
What is 115452 to the power of 1/4, to the nearest integer?
18
What is 751877 to the power of 1/8, to the nearest integer?
5
What is the eighth root of 1980739 to the nearest integer?
6
What is the fourth root of 357920 to the nearest integer?
24
What is 9119550 to the power of 1/2, to the nearest integer?
3020
What is 17031890 to the power of 1/2, to the nearest integer?
4127
What is the ninth root of 958273 to the nearest integer?
5
What is the cube root of 334827 to the nearest integer?
69
What is the third root of 210435 to the nearest integer?
59
What is 965996 to the power of 1/2, to the nearest integer?
983
What is the sixth root of 6466845 to the nearest integer?
14
What is 106651 to the power of 1/3, to the nearest integer?
47
What is the seventh root of 1069782 to the nearest integer?
7
What is the third root of 157185 to the nearest integer?
54
What is 1315543 to the power of 1/3, to the nearest integer?
110
What is the square root of 14779650 to the nearest integer?
3844
What is the ninth root of 18190040 to the nearest integer?
6
What is 10692 to the power of 1/2, to the nearest integer?
103
What is 1687018 to the power of 1/8, to the nearest integer?
6
What is the cube root of 979223 to the nearest integer?
99
What is 253992 to the power of 1/5, to the nearest integer?
12
What is 11729991 to the power of 1/9, to the nearest integer?
6
What is 81065 to the power of 1/5, to the nearest integer?
10
What is 2816270 to the power of 1/2, to the nearest integer?
1678
What is 703152 to the power of 1/2, to the nearest integer?
839
What is 7099 to the power of 1/5, to the nearest integer?
6
What is 129259 to the power of 1/2, to the nearest integer?
360
What is 567731 to the power of 1/2, to the nearest integer?
753
What is 82726 to the power of 1/2, to the nearest integer?
288
What is the third root of 222456 to the nearest integer?
61
What is the fourth root of 84083 to the nearest integer?
17
What is the square root of 13455516 to the nearest integer?
3668
What is the third root of 423449 | {
"pile_set_name": "DM Mathematics"
} |
z(13) is divided by 43.
41
Calculate the remainder when 35 is divided by (-2 + 1)/(-2) - (-598)/52.
11
Suppose -5*p = -22*r + 24*r - 379, 2*p - 154 = -2*r. Calculate the remainder when 435 is divided by p.
60
Calculate the remainder when 403 is divided by (-1148)/(-9) - 104/(-234).
19
Let q = 366 + -76. What is the remainder when q is divided by 74?
68
Let i(c) = 2*c**3 - 10*c**2 - 17*c - 2. Let v(y) = 3*y**3 - 20*y**2 - 34*y - 4. Let r(p) = -5*i(p) + 3*v(p). What is the remainder when 113 is divided by r(-8)?
5
Let w(v) = v**2 - v - 6. Let n be w(6). Let a = 26 - n. Suppose -a*h - 3*i - 15 = -3*h, -78 = -4*h + 3*i. Calculate the remainder when 82 is divided by h.
19
Let l = 36 - 3. What is the remainder when 108 is divided by l?
9
Let k(p) = -p**3 + 5*p**2 + 21*p + 2. Calculate the remainder when 247 is divided by k(7).
43
Let v be (0 - -4) + (1 + -5 - 7). Suppose 5*s - 5 = 0, -4*s = -4*b + 128 + 100. Calculate the remainder when b is divided by 40/(v/(-14)*4).
18
Let w(o) = -36*o. Calculate the remainder when w(-1) is divided by (4/(-6))/(-2) - 1900/(-150).
10
Suppose 3*v + 306 = -0*v. Let x = -71 - v. What is the remainder when 182 is divided by x?
27
Let p(x) = 12*x - 3. Let f be p(-1). What is the remainder when 10 is divided by f/3*2*2/(-5)?
2
Let k be -27*(1 + 1 + 2 + -1). Let i = k + 114. What is the remainder when i is divided by 12?
9
Suppose 4*l - 56 = 4*m, 0*m + m + 56 = 4*l. Suppose 36 - 660 = -16*f. What is the remainder when f is divided by l?
11
Suppose 72 = -3*g + u, -u + 5*u - 13 = g. Let o = g - -53. What is the remainder when (82/3)/((-6)/(-18)) is divided by o?
26
Let y = 57 + -19. Let g = y + 29. Calculate the remainder when g is divided by 35.
32
Let n(b) = -7*b - 11. Let q be n(-7). Let s = 30 - q. Let d = s - -79. What is the remainder when d is divided by 36?
35
Let a(s) = 3*s - 3. Let v(t) be the third derivative of -t**5/60 - 3*t**4/8 + t**3/2 + 16*t**2. Calculate the remainder when v(-3) is divided by a(5).
9
Let q = 88 + -61. Suppose -4*k - 2*d = 730, 5*k + 5*d + 1505 = 600. Let a = k - -262. Calculate the remainder when a is divided by q.
24
Suppose -4*u + 1468 = 4*s, -138*s = -137*s + 4. Calculate the remainder when u is divided by 38.
29
Let q be 1*-1*(-7 + 225). Let t = q + 313. What is the remainder when t is divided by 49?
46
Let s = 27 + 8. Suppose -2*d + 172 = -0*d + 2*i, 0 = -d - 5*i + 90. Suppose 12*o - 59 = d. What is the remainder when s is divided by o?
11
What is the remainder when 61 is divided by -9*(-136)/60 + (-6)/(-10)?
19
Suppose 128*c - 21640 = 25848. Calculate the remainder when c is divided by 11.
8
Let l be 49/(-21)*9*2. Let d = 80 + l. Calculate the remainder when d is divided by 14.
10
Let c(g) = -g**2 + 5*g + 2. Let v be c(4). Suppose -d + v = 2. Suppose 6*n + s = d*n + 49, 3*s - 32 = -n. What is the remainder when n is divided by 6?
5
Suppose -3 = d - 2. What is the remainder when 11 is divided by d/(-3) - (-136)/24?
5
Let k be ((-9)/(-6) - 2)*-4. Suppose 0 = a - k*a + 3. Let g = 242 + -241. What is the remainder when a is divided by g?
0
Let d(c) = c**2 + 6*c + 9. Let g = 1 - 9. What is the remainder when d(g) is divided by 7?
4
Suppose -9176 - 70924 = -89*j. Calculate the remainder when j is divided by 53.
52
Suppose -152 = -3*w - i, -2*w = -3*w - 2*i + 59. Let s = -27 - -40. Calculate the remainder when w is divided by s.
10
Let n be -3*2/(-3) + 2. Suppose -n*j + 1 = -7, -4*j = -s + 26. Suppose -5*x + s = 3*f, -4*f = -2*x + 3 - 5. What is the remainder when 18 is divided by x?
3
Suppose 551 = 5*m - 19. Suppose 4*j = 3*q - 0*q + 148, -3*j + m = -3*q. Calculate the remainder when j is divided by 7.
6
Suppose -3*w - 3 = -4*w. Suppose 0*q + w*q = 78. Calculate the remainder when 102 is divided by q.
24
Suppose -7*h = -419 + 244. Calculate the remainder when 30 is divided by h.
5
Suppose 3*q = 65 - 20. Suppose -706 = 2*w - 3*w. Suppose 8*f - w + 234 = 0. Calculate the remainder when f is divided by q.
14
Suppose 2*i - 3*f = -2*i + 80, i - 4*f = 7. What is the remainder when ((-162)/2025 - (-4448)/(-25))/((-4)/2) is divided by i?
20
Suppose 32*y = 1020 - 28. What is the remainder when 83 is divided by y?
21
Let c(a) = -3*a**3 + a**2 + 3*a + 1. Suppose -5*r - 4*x + 60 = 0, 20 = r - 5*x + 8. What is the remainder when c(-2) is divided by r?
11
What is the remainder when -5 - (4 + -2 - (47 + 4)) is divided by (2 + 1)/(1/5)?
14
Let d(b) = -37*b - 10. Let x be d(-5). Suppose 0 = -3*s - 2*s + x. What is the remainder when s is divided by 13/((-3)/(-5) - (-4)/10)?
9
Suppose 3*n + 0*r + 2*r + 1418 = 0, -4*n + 4*r - 1904 = 0. Calculate the remainder when 2/(-7) - n/42 is divided by 5.
1
Let t = -373 - -420. What is the remainder when 985 is divided by t?
45
Suppose 11 = -m - 3*g + 35, m - 4*g - 3 = 0. Let k = -67 + 141. Calculate the remainder when k is divided by m.
14
Suppose 0 = 8*w - w - 77. Let b(j) = -5*j**2 - 7*j - 35. Let v(g) = g**2 + g - 1. Let x(q) = -b(q) - 6*v(q). What is the remainder when x(0) is divided by w?
8
Let c(u) = u**3 - 4*u**2 - 4*u + 1. Let w be c(5). Suppose -5*d - m + 96 = 0, -4*d + 3*m = w*m - 79. Calculate the remainder when 54 is divided by d.
16
Let m(i) = 13*i - 173. Calculate the remainder when 58 is divided by m(14).
4
Let q(y) = y**2 - 6*y - 11. Let b = 31 + -23. What is the remainder when 11 is divided by q(b)?
1
Let l = -96 + 161. Let z = 500 + -322. Suppose -42 = -20*i + z. Calculate the remainder when l is divided by i.
10
Suppose -14*j + 332 - 44 = 22*j. Suppose 15 = -2*c + 73. What is the remainder when c is divided by j?
5
Let d(u) = 7*u**2 - 3*u - 2. Let w be d(-3). Suppose 5*n = -0*n + w. What is the remainder when 55 is divided by n?
13
Let q(c) = c**3 + 6*c**2 - 3*c - 1. Suppose 2*d = -8*k + 7*k + 96, -48 = -d + 4*k. What is the remainder when d is divided by q(-6)?
14
Let d = -17 - -38. Let v = d + -7. Calculate the remainder when 53 is divided by v.
11
Let m = -1769 + 1787. What is the remainder when 90 is divided by m?
0
What is the remainder when 4*(-7 + (-3501)/(-36)) is divided by 117?
10
Suppose -37*y - 44 = -192. Let z(i) be the second derivative of -2*i**3/3 + 3*i**2/2 - i. Calculate the remainder when z(-3) is divided by y.
3
Let k(d) = -d**3 - 27*d**2 + 21*d + 34. What is the remainder when k(-28) is divided by 39?
35
Let r(i) = 11*i - 12. Let l be r(-3). Let a = l - -72. What is the remainder when a is divided by 7?
6
Let f(i) = 4*i**2 - 4*i - 3. Suppose 0 = -2*k + 2*s + 2, 3*s - 11 = 1. Suppose t - 20 = -5*g - 0*g, 0 = g. Calculate the remainder when f(k) is divided by t.
17
Suppose -9956 = k - 9967. Let p(c) = c**2 + 52. What is the remainder when p(0) is divided by k?
8
Let t = -109 - -297. What is the remainder when t is divided by 27?
26
Let t(j) = -j**3 - 9*j**2 - 4*j + 6. Let x = -102 + 93. What is the remainder when 81 is divided by t(x)?
39
Suppose -557*d + 552*d + 95 = 0. Calculate the remainder when 52 is divided by d.
14
Let f be (-2247)/(-14) - 2/(-4). Let t = f - 136. Calculate the remainder when t is divided by 13.
12
Let s(h) be the second derivative of h**4/12 - 9*h**3/2 - 5*h**2/2 + 35*h. Calculate the remainder when 39 is divided by s(28).
16
Suppose 0 = 46*b - 51*b - 165. Let n = b + 101. Calculate the remainder when n is divided by 14.
12
Let n be 23/(-8) - 4/32. Let t(o) = -2*o + 3. What is the remainder when 42 is divided by t(n)?
6
Let w(o) = -o**2 + 38*o - 24. Calculate the remainder when 166 is divided by w(37).
10
Let j = 100 + -59. What is the remainder when j is divided by (55/11 - 9)*44/(-16)?
8
Let n(y) = 26*y**2 + 26*y + 18. What is the remainder when n(-5) is divided by 60?
58
Let l = 31 - -2. Suppose -s + l = 2*p, 3*s + 2*s - 213 = 2*p. Calculate the remainder when 122 is divided by s.
40
Let u(v) = -v**3 + 3*v**2 - v + 28. Calculate the remainder when u(0) is divided by 6.
4
Let a be (-5)/(2/(-1) - -3). Let u(j) = -6*j + 7. Let c be u(a). Let x = -21 + c. What is the remainder when x is divided by 9?
7
Let k(o) = 2 - 6*o - 2*o**2 + 3*o**2 + o**3 + 3*o**2. Let x be k(-5). Suppose 6*j - x*j + 18 = 0. Calculate the remainder when 33 is divided by j.
15
Let i(r) = 5*r**3 - 4*r**2 + 12*r - 8. Let g be i(4). Calculate the remainder when 101 is divided by (-5)/((-100)/g) + (-4)/(-20).
11
Suppose -3*f - 2*h = | {
"pile_set_name": "DM Mathematics"
} |
**(2/3))**12) assuming j is positive.
j**(-655/12)
Simplify (u**(2/5)*(u**6/u)/u)**14*(u/u**(-1/7)*u**3/u)**(-2/3) assuming u is positive.
u**(6248/105)
Simplify (r**(-1/5)/r**2)/(r**0*r)**16*(r/(r*r/(r**(-1)*r))*r)**(4/27)*(r/((r/(r*r*((r**(-1)*r)/r)/r))/r))**5 assuming r is positive.
r**(-66/5)
Simplify ((((a/(a/((a**(-3/4)/a)/a*a)))/a)/a)/(a**6/a))**(-39)/(a/(a/a**(-6))*a**(-1/15)/a)**(6/11) assuming a is positive.
a**(75923/220)
Simplify (((k/(k*k*k/k**2*k*k))/k)/(k/k**12*k)*k**(-3)*k/(k*k*((k**(1/9)/k)/k)/k))**(-29/2) assuming k is positive.
k**(-1537/18)
Simplify (o**(-8)/(o*o*o/o**0))**(3/13)*o**(3/2)*(o/(o*o*o*o**(-5)*o)*o)/o*((o/(o*(o/o**6)/o*o))/o)/((o**(1/3)*o)/o) assuming o is positive.
o**(361/78)
Simplify (m**(-7)*m**2/m*m)**(19/7)/(((m**(-1)*m)/(m/m**(1/3)))/(m**6/m**5)) assuming m is positive.
m**(-250/21)
Simplify (((((f/f**(9/5))/f)/f)**26)**(2/9))**(-50) assuming f is positive.
f**(7280/9)
Simplify ((r/(r**(-2/9)*r*r))/r**(2/13))**47*((r*r**(2/13))/r**(-6))**29 assuming r is positive.
r**(19150/117)
Simplify ((((r/r**(2/27))/r)/(r*r/r**(-12/11)))/(r/(r**(19/2)/r))**(-1/7))**(-43) assuming r is positive.
r**(757445/4158)
Simplify ((p*p**(-1/7)*p*(p*p*p**(-13))/p)/(p*(p**(-2/23)/p)/p)**(-1/21))**17 assuming p is positive.
p**(-83708/483)
Simplify ((q/(((q**4*q*q)/q)/q)*q)/(q*q/(q/(q*q**(1/6)/q)*q)))**50*(q**3*q**(1/2))/(q**(-1/3)*q**(-1/4)) assuming q is positive.
q**(-417/4)
Simplify n**(-6/5)/(n*(n/(n**(2/3)*n))/n)*(n/n**0)**(-19)*(n**(-8)*n)/(n*(n*n**(-1)/n)/n)*n/(n/n**5)*n**(-1/2)*n assuming n is positive.
n**(-601/30)
Simplify (((w**0)**(-30)/(((w**(1/10)/w)/w)/(w**(2/5)/w)))**20)**(-36) assuming w is positive.
w**(-936)
Simplify ((a**(-2)*a)**(1/14))**(-25)/(((a/((a/(a/(a**(-6)/a)))/a))/a)/a*(a**(-6/5)/a)/a)**49 assuming a is positive.
a**(-12909/70)
Simplify (p*p/((p/(p/(p*p/p**(-2/3)*p)))/p)*p)**(4/17)*p*p**(-4)/p*p**(-1)/p*((p*p**3/p*p*p)/p*p*((p*p*p**(-6)*p)/p)/p)**(-36) assuming p is positive.
p**(-302/51)
Simplify (((k/(k/k**0))**(2/9)*k**(-3/4)/(k*k**2*k))**23)**(-25/4) assuming k is positive.
k**(10925/16)
Simplify (r**7/(r*r**7*r*r))**(14/9)/(r*r*r/(r*r*r/((((r*r*r/r**(-6))/r)/r)/r*r)*r)*r/r**(-4/3)*r*(((r*r**(-1/3))/r)/r*r)/r**(-6/5)) assuming r is positive.
r**(-223/15)
Simplify (((g/(g*g/(g**(1/3)*g)*g)*g)**(-1/51)*g**(3/7)/g*g*g*g/(g/(g/(((g**(1/3)/g)/g)/g)*g))*g)**(-2/193))**(-46) assuming g is positive.
g**(698464/206703)
Simplify (((c**(-1)*c/(c**(17/4)/c)*c)**(-16/11))**41)**46 assuming c is positive.
c**(67896/11)
Simplify (((p/(p*p/(p*p*p**(-4/9))))/(p/(p*p**(-7)*p)))/(p**1)**(2/27))**(-8) assuming p is positive.
p**(1192/27)
Simplify (p**(1/5)*p/(p**(-31)/p*p*p))/((p*p*p*((p/((p**(-16/5)*p)/p))/p*p*p)/p)/p**(2/9)) assuming p is positive.
p**(218/9)
Simplify (b**(-3/10)*b**3/b)**(-40)*b**(2/5)/b*b/(b*b**(-4/7))*(b**(1/2))**(15/8) assuming b is positive.
b**(-37571/560)
Simplify (w**0/w)**(-22)*w**2/(w/w**(-1/9))*w*w*w**(1/5)*w*w*((w/(w**(1/7)*w))/w)/w*w**(-5/2)*w*w/w**0*w assuming w is positive.
w**(16031/630)
Simplify (((n**(-1/4)/n)/(n*n/(n/((n*n**(2/13))/n))))/(n**(-1))**(-1/3))/((n*n**(-2/3)*n)**37/(n**0/n**2)) assuming n is positive.
n**(-8435/156)
Simplify (x**(-6)*x**0*(x/(x*x**(-2/11)))/x**(-6))/((x/(x*x/(x**(-3)/x*x*x)))**(-7/3))**(-1/8) assuming x is positive.
x**(93/88)
Simplify (((a**14/a*a**(4/5))/(a/(((a**(-15)*a)/a)/a)*a**(2/19)))**(-34))**(2/19) assuming a is positive.
a**(21352/1805)
Simplify ((m/(m/(m/(m/m**(-1/2)*m))))**(-39))**(3/43)*((m/m**(2/9))**(-39))**(-2/45) assuming m is positive.
m**(63037/11610)
Simplify ((p**0)**(-29/5)*(p**(-2/13)*p)/(p/p**1))/((p**(-1/3)/p)**(-1/11))**(21/5) assuming p is positive.
p**(241/715)
Simplify ((u/u**(2/3)*u/(u*u/u**(-3/4)))/((u*u*u**(2/9)*u)/((u/(u/u**(2/11))*u)/u)))/(((u/u**(5/3))/u)/u**(5/4)*u**6*u**(1/4)) assuming u is positive.
u**(-3085/396)
Simplify ((((w/(w/(w*w**(2/21)))*w)/(w**0/w))/(w/(w/w**(1/16))*w/(w*w**(-1/3))))**(-11/4))**(-1/8) assuming w is positive.
w**(9977/10752)
Simplify ((((g/(g*g**(1/6)*g)*g)**(-18/11))**(-19))**(-44))**(-3/14) assuming g is positive.
g**(-342/7)
Simplify ((n**(-33)/n)**(1/66)*n**(-12)/(n/(n/(n/n**(2/139)))))**19 assuming n is positive.
n**(-1176632/4587)
Simplify (((p/(p/(p*p/p**(-1/9))))/(p**7/p*p))/(p**(-7)*p**(-6)))/((p**(1/4))**34)**(-1/73) assuming p is positive.
p**(10811/1314)
Simplify (((r*(r/(r/(r*r**(-25))))/r)/r)/(r**15*r*r)*(r*r**15*r*r)/r**(-2/41))**15 assuming r is positive.
r**(-14730/41)
Simplify r**(2/17)/r**(-3/7)*(r**(-2/7)/r*r)**(-2/25)*((r/((r*r*r*(r/r**(1/7))/r*r)/r)*r)/(r**(-1/4)/r*r))**(1/12) assuming r is positive.
r**(10577/20400)
Simplify (((q**(-2/7))**(4/43)/(q**(-1)/q*q**(-5)))**(11/2))**(-5/18) assuming q is positive.
q**(-115445/10836)
Simplify ((k/k**(-7/4))/(k/k**(-8)))/(k*(k*k**(-28))/k)**(-15/4) assuming k is positive.
k**(-215/2)
Simplify n/(n/(n*n**(3/25)))*(n/(n/(n/n**46)))/n*n*n**(-19/4)/((n*n**(-29)*n)/n*n) assuming n is positive.
n**(-2163/100)
Simplify (((o**(1/3))**39/(o**2)**(-9))**27)**16 assuming o is positive.
o**13392
Simplify ((((m*m/(m*((m*m**(-3/2)*m)/m)/m))/m*m**(-10))/(((m*(m/(m**11*m*m))/m)/m*m)/m*m/m**(1/9)))**(-1/40))**(-2/75) assuming m is positive.
m**(13/5400)
Simplify ((v*v**(25/2))/(v*v**29)*((v**37/v)/v)/(v/(v**(-10/9)*v)))**(-2/7) assuming v is positive.
v**(-313/63)
Simplify (((z**(-3/7)*z*z)/z**(-16))**(-26))**28 assuming z is positive.
z**(-12792)
Simplify (((g*(g*((g**(1/2)/g)/g*g)/g)/g)/g)/((g*g*g**(1/12)*g)/g))**(-9/8)*g**(-1/2)*g**(-1/5)*g/(g*g*g/(g*g*g**(-4)*g*g))*g**1 assuming g is positive.
g**(373/160)
Simplify ((n**(-4)*n*n)**(-2/15)/(n*n**(-5/6)*(n*n*n/n**(2/11)*n)/n))**(-26) assuming n is positive.
n**(3887/55)
Simplify ((i**(1/2)*i*i)**(4/9)/(i/(i/(i*i**(-12)))*i**(-1/12)*i))**(-6/19) assuming i is positive.
i**(-403/114)
Simplify ((x/(((x**(-1/5)/x)/x)/x*x))**(-30/11)*(((x*x**(-39))/x)/x)/x*(x/x**(-6/7))/x)**(-11) assuming x is positive.
x**(3763/7)
Simplify (y**(-1/9)*y*y**(-2))**(-33)*((y/((y*y**(-2/17))/y))/(y/y**(1/3)))/(y**(-1/4)/(y/(y/(y/(y*y/(y*y**(-3/7))))*y))) assuming y is positive.
y**(17107/476)
Simplify ((f**(-12)*f**(-1))/(f**(4/5)*f*f/f**(3/8)*f))**13 assuming f is positive.
f**(-8541/40)
Simplify ((((a*a**(2/9))/(a**(-1/4)/a))/((a*a/(((a*a*a/a**(1/3)*a*a)/a)/a*a))/a*a**0))**43)**(-2/39) assuming a is positive.
a**(-7955/702)
Simplify (q/(q**(-2/3)/q)*q/q**(-4/5))/((q*q*q/(q**(2/5)*q)*q)/q)**(-5/12)*((q**(-3/8)/q)/q*q**3)/(q*q**0)**(-32) assuming q is positive.
q**(4531/120)
Simplify ((m**(-1/8)*m)/m*m*(m/(m*m**3/m*m))/m)**8*(m/(m*m**(-2/15)))/(m/(m**8*m*m))*(m/m**0)/m**(5/2) assuming m is positive.
m**(-521/30)
Simplify ((l**(-8)/(l**(-3)*l)*l*l**(4/7)*l*l**(-7))**(-13))**(-46) assuming l is positive.
l**(-43654/7)
Simplify (w/(w/w**(3/4)))/(w/(w*w/((w*w/(w**(2/13)*w))/w)))*w**(-4)/w**0*(w**(-1)*w/w**1*w)/(w**(-6)/((w/w**(-2/3))/w*w)) assuming w is positive.
w**(869/156)
Simplify ((t/(t/t**12))/(t*t**(-13)/t))/(t**40*t**2) assuming t is positive.
t**(-17)
Simplify ((t**(-2/31)/(t*(t**21/t*t)/t*t*t))/((t*t**(2/5)/t*t)/t**(2/33)))**(8/7) assuming t is positive.
t**(-998608/35805)
Simplify s**3*s*s**7/s*s*(s/s**1)**36*(s**(2/3)*s*s*(s**(-3/11)/s*s)/s)**(2/5) assuming s is positive.
s**(1907/165)
Simplify (q**(-2/17)*q*(q**(-10)*q)/q*(q**8*q)/((q/(q/(q/(q*q**(-2/5)*q))))/q*q))**(5/19) assuming q is positive.
q**(41/323)
Simplify (h**(-4/5)/h*h*h**(-2/27))**(1/5)/(h*h**(-4/7)*h**5*h)**20 assuming h is positive.
h**(-608326/4725)
Simplify ((y/y**9*y)**(1/16)/((y*y**(-1/54))/(y*y**9)))**2 assuming y is positive.
y**(3707/216)
Simplify (j/j**(-14)*j**4*j*j)**(-4/25)*j**(7/3)/(j**(1/14)/j)*j**(-2/19)*j*j**(-2/11) assuming j is positive.
j**(134923/219450)
Simplify ((v**(1/2)/v)/v)/(v*v**(-2/27)*v)*(v**(2/7))**(-24/13)*(v**0)**(-24)*(v/(v**(1/2)/v))**(2/11) assuming v is positive.
v**(-198955/54054)
Simplify (z**(3/29)*z**(-26)*z**(-3/26)/(z/(z*z/(z**(-2/7)/z))*z))**35 assuming z is positive.
z**(-652525/754)
Simplify (y**(-2/37)*y**(-10)*(y*y**(-7)/y)**(4/15))**(-1/68) assuming y is positive.
y**(1654/9435)
Simplify a**5/a*a*a/(a*a*a/(a**6*a)*a)*(a**(2/7)*a)**(9/7)*a**(-2)/((a/a**6)/a)*(a*(a/((a/(a/a**(-1)))/a))/a*a)/(a**0/a) assuming a is positive.
a**(963/49)
Simplify (b**(-1/4)/b**(-2/3))**(-1/10)*(b*b**(-2/13 | {
"pile_set_name": "DM Mathematics"
} |
0933412.
2, 3, 13, 38595727
List the prime factors of 255600092.
2, 11, 5809093
List the prime factors of 93605305.
5, 19, 89, 11071
List the prime factors of 65963141.
65963141
What are the prime factors of 64131404?
2, 43, 179, 2083
What are the prime factors of 4841656229?
31, 156182459
List the prime factors of 1710230317.
37, 46222441
What are the prime factors of 1189762399?
7, 43, 727, 5437
What are the prime factors of 100053439?
37, 59, 45833
What are the prime factors of 21999919?
67, 328357
What are the prime factors of 5671683?
3, 461, 1367
What are the prime factors of 3707933296?
2, 19, 67, 182047
List the prime factors of 226999360.
2, 5, 7, 31, 467
List the prime factors of 562996350.
2, 3, 5, 7, 367, 487
What are the prime factors of 29886991?
41, 157, 4643
What are the prime factors of 96432217?
7, 13776031
List the prime factors of 389382123.
3, 13, 59, 197, 859
List the prime factors of 591737489.
7, 29, 73, 547
What are the prime factors of 113009523?
3, 11, 17, 18313
What are the prime factors of 877212494?
2, 1171, 374557
What are the prime factors of 86095797?
3, 53, 541483
List the prime factors of 512581994.
2, 17, 1193, 12637
List the prime factors of 466786609.
557, 838037
What are the prime factors of 72638488?
2, 13, 698447
What are the prime factors of 107398427?
733, 146519
What are the prime factors of 928913825?
5, 7, 193, 3929
List the prime factors of 355472449.
2087, 170327
List the prime factors of 19831869.
3, 2203541
List the prime factors of 670709260.
2, 5, 13, 2579651
What are the prime factors of 356025110?
2, 5, 7, 1087, 4679
List the prime factors of 279132350.
2, 5, 7, 17, 43, 1091
List the prime factors of 4783854301.
61, 173, 453317
List the prime factors of 350636083.
7, 1583, 31643
What are the prime factors of 36238431?
3, 12079477
What are the prime factors of 932651229?
3, 17, 53, 389, 887
What are the prime factors of 891408644?
2, 7, 31836023
List the prime factors of 345349266.
2, 3, 57558211
What are the prime factors of 1246858819?
23, 37, 63703
List the prime factors of 65071703.
1951, 33353
List the prime factors of 643233671.
643233671
List the prime factors of 139390178.
2, 69695089
List the prime factors of 180187765.
5, 36037553
List the prime factors of 1302184301.
11, 118380391
List the prime factors of 210194175.
3, 5, 29, 241, 401
What are the prime factors of 90525405?
3, 5, 19, 191, 1663
List the prime factors of 126433495.
5, 25286699
List the prime factors of 371404041.
3, 123801347
List the prime factors of 553667614.
2, 47, 5890081
List the prime factors of 274373624.
2, 7, 23, 213023
List the prime factors of 37168235.
5, 13, 383, 1493
List the prime factors of 517204874.
2, 193, 1339909
What are the prime factors of 783022133?
6053, 129361
List the prime factors of 50006324.
2, 23, 29, 18743
List the prime factors of 666664971.
3, 7, 31745951
List the prime factors of 3331642854.
2, 3, 1039, 534431
What are the prime factors of 4720408765?
5, 8963, 105331
List the prime factors of 32381838.
2, 3, 17, 23, 43, 107
List the prime factors of 101666611.
131, 229, 3389
List the prime factors of 76826853.
3, 43, 66173
What are the prime factors of 331432846?
2, 19, 8721917
List the prime factors of 172112149.
11, 15646559
What are the prime factors of 166246686?
2, 3, 43, 214789
List the prime factors of 156053644.
2, 1039, 37549
What are the prime factors of 76531776?
2, 3, 277, 1439
List the prime factors of 2152448365.
5, 67, 6425219
List the prime factors of 806449994.
2, 7, 4567, 12613
What are the prime factors of 94955115?
3, 5, 17, 73, 5101
List the prime factors of 763635189.
3, 17, 797, 18787
List the prime factors of 278134566.
2, 3, 53, 874637
List the prime factors of 1058840285.
5, 37, 5723461
List the prime factors of 540973287.
3, 167, 359929
List the prime factors of 1815446122.
2, 7, 151, 223, 3851
What are the prime factors of 482333747?
7, 131, 593, 887
What are the prime factors of 14716914?
2, 3, 229, 10711
List the prime factors of 298881769.
14869, 20101
List the prime factors of 42700732.
2, 61, 175003
What are the prime factors of 7212446295?
3, 5, 151, 3184303
What are the prime factors of 2816811567?
3, 47, 739, 9011
List the prime factors of 144680757.
3, 13, 1237, 2999
List the prime factors of 79287103.
7, 547, 20707
List the prime factors of 78907030.
2, 5, 17, 173, 2683
What are the prime factors of 3735387?
3, 41, 53, 191
List the prime factors of 344774425.
5, 467, 29531
What are the prime factors of 11426109?
3, 373, 10211
What are the prime factors of 104535204?
2, 3, 8711267
What are the prime factors of 35738833?
13, 947, 2903
What are the prime factors of 151733969?
151733969
What are the prime factors of 8608593?
3, 7, 409933
List the prime factors of 214034083.
214034083
List the prime factors of 2708783008.
2, 84649469
List the prime factors of 6325899609.
3, 479, 4402157
List the prime factors of 1801328668.
2, 19, 23701693
What are the prime factors of 47902974?
2, 3, 7, 17, 23, 2917
What are the prime factors of 18739864?
2, 11, 13, 16381
What are the prime factors of 1345667118?
2, 3, 23, 71, 137341
List the prime factors of 146535433.
11, 13321403
What are the prime factors of 18157253?
18157253
List the prime factors of 1263947182.
2, 167, 3784273
What are the prime factors of 1185128550?
2, 3, 5, 877873
List the prime factors of 823709666.
2, 13, 3331, 9511
List the prime factors of 499152906.
2, 3, 7, 191, 2963
What are the prime factors of 3449943309?
3, 1149981103
What are the prime factors of 7449492002?
2, 3724746001
What are the prime factors of 2234779097?
79, 461, 61363
List the prime factors of 1853040898.
2, 29, 1101689
What are the prime factors of 62547279?
3, 37, 563489
What are the prime factors of 1266795766?
2, 17, 113, 329723
List the prime factors of 1270480564.
2, 31, 337, 30403
List the prime factors of 172124892.
2, 3, 1593749
What are the prime factors of 16511226?
2, 3, 43, 63997
What are the prime factors of 325645911?
3, 36182879
What are the prime factors of 118692753?
3, 19, 269, 7741
What are the prime factors of 39180514?
2, 19590257
What are the prime factors of 2819016?
2, 3, 31, 421
List the prime factors of 69746507.
173, 403159
List the prime factors of 67325605.
5, 13465121
What are the prime factors of 47769212?
2, 11942303
What are the prime factors of 349128662?
2, 1931, 90401
What are the prime factors of 18669375?
3, 5, 3319
List the prime factors of 11173216.
2, 17, 19, 23, 47
List the prime factors of 581192249.
11, 52835659
What are the prime factors of 104448504?
2, 3, 1433, 3037
What are the prime factors of 126089193?
3, 227, 185153
List the prime factors of 476317869.
3, 41, 3872503
List the prime factors of 353736006.
2, 3, 13, 47, 2053
What are the prime factors of 224359141?
224359141
List the prime factors of 1123838813.
157, 2357, 3037
List the prime factors of 23099208.
2, 3, 11, 59, 1483
List the prime factors of 45660278.
2, 547, 41737
List the prime factors of 320509507.
317, 1011071
List the prime factors of 2462619037.
3733, 659689
What are the prime factors of 452277764?
2, 4817, 23473
What are the prime factors of 165509313?
3, 55169771
List the prime factors of 12431545.
5, 7, 50741
What are the prime factors of 24629686?
2, 31, 397253
What are the prime factors of 7825397?
19, 53, 409
What are the prime factors of 6716495?
5, 1343299
List the prime factors of 83433365.
5, 17, 981569
What are the prime factors of 160481839?
7, 37, 619621
What are the prime factors of 84650943?
3, 13, 2170537
What are the prime factors of 81268962?
2, 3, 29, 467063
List the prime factors of 153295102.
2, 29, 2643019
What are the prime factors of 6592780163?
29, 857, 265271
List the prime factors of 301186227.
3, 53, 1894253
List the prime factors of 900336873.
3, 37, 59, 137477
What are the prime factors of 325060207?
37, 113, 77747
List the prime factors of 69047667.
3, 13, 196717
List the prime factors of 149844048.
2, 3, 97, 32183
List the prime factors of 556074822.
2, 3, 92679137
What are the prime factors of 3462031327?
47, 1861, 39581
List the prime factors of 534501908.
2, 133625477
List the prime factors of 238409247.
3, 227, 350087
What are the prime factors of 2367760 | {
"pile_set_name": "DM Mathematics"
} |
52.
2034164
What is the smallest common multiple of 4250 and 8500?
8500
Calculate the smallest common multiple of 1417482 and 157498.
1417482
What is the smallest common multiple of 15 and 151200?
151200
Calculate the common denominator of -43/16200 and 79/43110.
7759800
Calculate the common denominator of -33/20 and 67/217698.
2176980
What is the least common multiple of 1672 and 352?
6688
What is the lowest common multiple of 18595 and 260?
966940
Calculate the common denominator of 139/30 and 69/23600.
70800
Calculate the smallest common multiple of 701158 and 32612.
1402316
Calculate the least common multiple of 285 and 133.
1995
What is the common denominator of 73/56 and -93/41288?
289016
What is the common denominator of -67/14928 and 7/12440?
74640
Find the common denominator of -187/33930 and -1/78.
33930
What is the least common multiple of 2780 and 4980?
692220
What is the smallest common multiple of 10164 and 8184?
630168
Find the common denominator of -65/2 and -33/89.
178
What is the common denominator of 109/1165528 and -81/333008?
2331056
Find the common denominator of -27/1152332 and -101/10.
5761660
Calculate the common denominator of -101/152 and -101/3464.
65816
Calculate the common denominator of -161/2046462 and -95/27016.
8185848
What is the lowest common multiple of 45 and 338350?
3045150
What is the lowest common multiple of 99416 and 688?
198832
Calculate the common denominator of -41/165 and -97/768.
42240
Find the common denominator of -51/181300 and -29/51800.
362600
What is the common denominator of 47/14564 and 47/3641?
14564
Calculate the common denominator of 13/27900 and -119/13950.
27900
What is the least common multiple of 1215 and 1161?
52245
Calculate the common denominator of 69/8 and 67/166240.
166240
What is the least common multiple of 44658 and 52101?
312606
Calculate the least common multiple of 99 and 3762.
3762
Calculate the common denominator of -103/21606 and 113/624.
172848
Find the common denominator of 58/4617 and 68/2679.
216999
Find the common denominator of -97/97350 and 47/330.
97350
What is the least common multiple of 462 and 91791?
2019402
Calculate the smallest common multiple of 10 and 10464.
52320
Find the common denominator of 59/1356822 and -34/9.
1356822
What is the common denominator of 73/791936 and -91/8608?
791936
What is the smallest common multiple of 78246 and 504?
312984
What is the least common multiple of 1641792 and 204?
1641792
What is the least common multiple of 18 and 3222?
3222
What is the smallest common multiple of 7 and 1055810?
1055810
Calculate the smallest common multiple of 30 and 273213.
2732130
Calculate the common denominator of 161/1800 and -83/10440.
52200
What is the least common multiple of 60 and 4102600?
12307800
What is the common denominator of 61/5408 and 169/720?
243360
What is the common denominator of -20/241353 and -38/99?
2654883
What is the common denominator of -65/768 and -91/3936?
31488
Calculate the smallest common multiple of 2250 and 2430.
60750
Calculate the common denominator of 161/5730 and 61/385.
441210
Calculate the least common multiple of 31005 and 795.
31005
Find the common denominator of -97/252360 and -33/24535.
1766520
Calculate the least common multiple of 9516 and 366.
9516
Find the common denominator of 97/8295 and -39/2212.
33180
What is the common denominator of 67/10 and -2/23715?
47430
Calculate the common denominator of -87/5044 and 47/32.
40352
What is the common denominator of 13/882420 and -48/23111?
9706620
Calculate the common denominator of 31/409 and -131/2976.
1217184
Find the common denominator of -109/18 and -17/276294.
828882
What is the common denominator of 43/20 and 121/70660?
70660
Calculate the smallest common multiple of 22936 and 75.
1720200
Find the common denominator of 8/377 and 11/1885.
1885
Find the common denominator of 1/61281 and -62/45.
306405
Find the common denominator of 131/4920 and -1/240.
9840
Find the common denominator of -173/2040 and -8/391.
46920
Calculate the lowest common multiple of 20 and 29608.
148040
Calculate the common denominator of 107/2244 and -37/61578.
2093652
What is the lowest common multiple of 109908 and 172?
109908
Find the common denominator of 39/10469 and -109/13746.
4962306
Calculate the common denominator of 13/1175 and 52/3901.
97525
Calculate the common denominator of -113/1020 and 86/1815.
123420
What is the lowest common multiple of 112 and 5184?
36288
Calculate the smallest common multiple of 12 and 1385638.
8313828
Calculate the smallest common multiple of 16 and 34436.
137744
Calculate the common denominator of -103/20334 and 62/3.
20334
What is the least common multiple of 7008 and 166?
581664
What is the common denominator of -50/9 and -55/54789?
164367
Calculate the common denominator of -125/6498 and -68/198189.
396378
What is the lowest common multiple of 7440 and 8928?
44640
Calculate the lowest common multiple of 135 and 465.
4185
Find the common denominator of -101/16686 and -13/90.
83430
Calculate the smallest common multiple of 13701 and 4567.
13701
What is the lowest common multiple of 180 and 780?
2340
Calculate the least common multiple of 18342 and 8152.
73368
What is the least common multiple of 9996 and 5145?
349860
Calculate the common denominator of -13/5652 and -2/189.
118692
What is the lowest common multiple of 110 and 13020?
143220
Calculate the lowest common multiple of 13668 and 36.
41004
Calculate the common denominator of 51/1120 and -59/37856.
189280
Find the common denominator of -139/65718 and -139/51114.
460026
What is the lowest common multiple of 44 and 128282?
256564
Calculate the common denominator of -17/549 and -31/2799.
170739
Calculate the smallest common multiple of 33 and 23469.
258159
Find the common denominator of 87/7832 and -127/358314.
1433256
Calculate the least common multiple of 27 and 405090.
1215270
Calculate the least common multiple of 5655 and 225.
84825
Calculate the smallest common multiple of 101780 and 98.
712460
Calculate the common denominator of 28/25 and -123/126310.
631550
Calculate the least common multiple of 8 and 8429.
67432
Calculate the lowest common multiple of 1530 and 918.
4590
Find the common denominator of 53/4 and 115/85462.
170924
What is the least common multiple of 64055 and 33420?
768660
What is the lowest common multiple of 18 and 30510?
30510
What is the common denominator of -121/5166 and -7/2624?
165312
Calculate the lowest common multiple of 9756 and 3.
9756
What is the lowest common multiple of 1160 and 658068?
6580680
Calculate the common denominator of -23/69240 and 83/1841784.
9208920
What is the least common multiple of 116352 and 6464?
116352
Calculate the least common multiple of 1076132 and 4.
1076132
Calculate the lowest common multiple of 2736 and 306.
46512
What is the lowest common multiple of 259886 and 198?
2338974
What is the lowest common multiple of 426042 and 6?
426042
What is the common denominator of 35/7999 and -58/7?
55993
Calculate the least common multiple of 185560 and 2.
185560
What is the smallest common multiple of 24672 and 516?
1060896
Calculate the lowest common multiple of 19008 and 48.
19008
Calculate the common denominator of -131/1171056 and 85/528.
12881616
Calculate the least common multiple of 107160 and 16920.
321480
Calculate the least common multiple of 7887 and 4302.
47322
Find the common denominator of 29/117 and -83/5824.
52416
Calculate the common denominator of 39/32 and 59/169776.
339552
What is the lowest common multiple of 1944 and 76644?
4138776
What is the smallest common multiple of 119 and 142919?
142919
What is the common denominator of 55/6 and 74/159?
318
Find the common denominator of 51/17726 and -79/26.
230438
Calculate the common denominator of 95/72 and 81/2336.
21024
What is the smallest common multiple of 1244 and 4665?
18660
What is the common denominator of 50/490399 and 14/117?
4413591
Calculate the common denominator of 179/57684 and 71/1426.
1788204
Calculate the smallest common multiple of 126357 and 7658.
252714
What is the least common multiple of 6 and 61662?
61662
What is the least common multiple of 2184 and 68068?
408408
Calculate the common denominator of -15/25636 and 85/232.
51272
What | {
"pile_set_name": "DM Mathematics"
} |
2 + 3*u + 0 - 8 - 8*u. What is -5*d(h) + 6*v(h)?
-h**2 - 3
Let i(m) = -73*m - 7. Let k(h) = 135*h + 13. Give -9*i(l) - 4*k(l).
117*l + 11
Let t(v) = -5*v**2 - 3*v + 3. Let h be (35/(-2))/((-1)/2). Let n(i) = 12 - 5 - 2 + 38*i + 60*i**2 - 3*i - 40. What is h*t(r) + 3*n(r)?
5*r**2
Suppose -56 = -7*v - 11 + 11. Let m(q) = -5*q**3 + 14*q**2 - 10*q - 11. Let o(l) = -2*l**3 + 5*l**2 - 3*l - 4. Determine v*o(r) - 3*m(r).
-r**3 - 2*r**2 + 6*r + 1
Let w be 7 + ((4/5)/(90/(-225)) - 6). Let o(f) = -2*f**2 - 12*f - 6. Let z(q) = q**2 + q + 1. Calculate w*o(b) - 6*z(b).
-4*b**2 + 6*b
Let z(f) = -f - 1. Let x = 611 - 596. Let b be ((-5)/x)/((-31)/(-6) - 5). Let s(p) = 1. Calculate b*s(y) - z(y).
y - 1
Let b(h) = -48*h**3 + 4*h**2 + 26*h + 1. Let k(y) = -22*y**3 - y + 1. Determine -b(c) + 2*k(c).
4*c**3 - 4*c**2 - 28*c + 1
Let n(r) = 54*r**3 - 18*r**2 + 3*r - 20. Let k(z) = 53*z**3 - 18*z**2 + 2*z - 17. Determine 6*k(o) - 5*n(o).
48*o**3 - 18*o**2 - 3*o - 2
Let b(y) = y + 157. Let q(k) = k + 84. Calculate -6*b(f) + 10*q(f).
4*f - 102
Let b(r) = -11*r**2 + 20*r. Let f(l) = -33*l**2 + 59*l. Give 19*b(v) - 6*f(v).
-11*v**2 + 26*v
Let k(j) = -25*j**2 - 14*j + 5. Let v(u) = -57*u**2 - 29*u + 12. Determine 9*k(f) - 4*v(f).
3*f**2 - 10*f - 3
Let o(r) = 16*r**3 - 183*r**2 - 8*r - 6. Let x(u) = -18*u**3 + 208*u**2 + 9*u + 7. Determine -7*o(l) - 6*x(l).
-4*l**3 + 33*l**2 + 2*l
Let c(b) = -7*b**2 - 5*b - 294. Let d(u) = 38*u**2 + 26*u + 1477. Give -22*c(s) - 4*d(s).
2*s**2 + 6*s + 560
Let c(o) = 3*o**3 + 15*o**2 + 37. Let h(i) = -i**3 - 6*i**2 - 19. Give 2*c(s) + 5*h(s).
s**3 - 21
Let f = -193 - -197. Suppose -f*y + 17 - 33 = 0. Let z(j) = -j - 1. Let l(w) = -2*w + 0*w - 2*w + 2*w - 6. Determine y*z(v) + l(v).
2*v - 2
Let t(p) = 34*p + 42. Let l(a) = -32*a - 25. Determine -5*l(h) - 4*t(h).
24*h - 43
Let w(n) = 195*n - 5 - 100*n - 76*n. Let r(j) = -18*j + 6. Determine 5*r(i) + 6*w(i).
24*i
Let v(m) = 4221*m + 4020. Let u(h) = -4*h + 15. Calculate -268*u(n) + v(n).
5293*n
Let g(v) be the first derivative of 3*v**2/2 - 2. Let t(d) = -3*d. Suppose 44 - 4 = 4*x. Suppose n - 7 = -x. Determine n*t(l) - 2*g(l).
3*l
Let m(v) = -5*v - 23. Let f(x) = 2*x + 8. Suppose 5*i - 36 = 24. Suppose -5*l + 13 = -3*c, 5*c = l - 17 - i. Calculate c*m(s) - 17*f(s).
-4*s + 2
Let o(q) = -q - 337. Let f(d) = d + 505. What is -5*f(n) - 7*o(n)?
2*n - 166
Let p(j) = -21*j - 4. Let m be 160/5 + (-192)/8. Let y(i) = 62*i + 11. Determine m*p(q) + 3*y(q).
18*q + 1
Let f(n) = n - 43. Let i(y) = 11. Suppose 53 = 5*p - m, -6*p = m - 26 - 20. What is p*i(h) + 2*f(h)?
2*h + 13
Let a(g) = 474*g + 1. Let l(w) = -473*w. Give -3*a(z) - 2*l(z).
-476*z - 3
Let z(m) = -250921*m - 14*m**3 + 501868*m - 250927*m - 17*m**2 + 11. Let q(k) = -2 + 1 - 6*k**2 + 7*k + 5 - 5*k**3. Calculate 17*q(t) - 6*z(t).
-t**3 - t + 2
Let k(z) = z**2 + z. Let t(w) = -2*w**3 + 210*w**2 - 206*w - 209. Let c be t(104). Let i(r) = -r**2 - 6*r. Calculate c*i(q) - 6*k(q).
-5*q**2
Let c be 2/1 + 0 + 3. Suppose -2*i + 4 = t, -t + 4 = -0*i + c*i. Let h(g) = g - 11*g - 9 + 5 + 4*g - 2 + 3*g. Let j(w) = -6*w - 11. What is t*j(d) - 7*h(d)?
-3*d - 2
Suppose 6*a = 14*a + 4936. Let d = -618 - a. Let b(w) = 8*w**2 + 1. Let k(c) = c**2 + 1. Determine d*k(l) + b(l).
7*l**2
Let z(k) = 17*k - 6. Suppose 6651*n = 6674*n + 184. Let i(v) = -6*v + 2. Determine n*i(p) - 3*z(p).
-3*p + 2
Let q(d) = -43*d - 27. Let x(f) = -13*f - 8. Determine 2*q(z) - 7*x(z).
5*z + 2
Let z(f) = 2*f - 15. Let w(r) = -17*r - 35. Let l(o) = o + 2. Let q be l(0). Let s(u) = -3*u - 7. Let v(j) = q*w(j) - 11*s(j). Determine -7*v(g) - 3*z(g).
g - 4
Suppose -170*f - 127*f = -1188. Let t(g) = -3*g**3 + 4*g**2 - 5. Let z(i) = i**2 - 1. Let h(q) = -q + 5. Let p be h(6). Give f*z(n) + p*t(n).
3*n**3 + 1
Let m(l) = 27*l + 14. Let b(j) = 79*j + 42. Let w(p) = 3*b(p) - 8*m(p). Let v(u) = 7*u + 5. What is -14*v(k) + 5*w(k)?
7*k
Let i(w) = 68*w**3 - 4*w**2 - 4*w + 15. Let x(y) = 204*y**3 - 11*y**2 - 11*y + 43. Determine 11*i(r) - 4*x(r).
-68*r**3 - 7
Let b(k) = -43*k + 3842. Let t(v) = 29*v - 3842. What is 2*b(u) + 3*t(u)?
u - 3842
Let g(v) = 5385*v - 10. Let p(a) = 51160*a - 96. What is -48*g(o) + 5*p(o)?
-2680*o
Let d(i) = -3*i**2 + i. Let p(l) = 18*l**2 - 35*l - 1. Calculate 4*d(a) + p(a).
6*a**2 - 31*a - 1
Let a(k) = 568*k - 1. Let g(b) = 1137*b - 2. Calculate -9*a(d) + 4*g(d).
-564*d + 1
Let d(u) = -2*u**3 + 7*u**2 - 2. Let a(n) be the first derivative of 5*n**4/4 - 5*n**3 + 5*n - 1234. What is 4*a(y) + 9*d(y)?
2*y**3 + 3*y**2 + 2
Let l(w) = -1880*w**3 - 25*w**2 + 25*w - 25. Let q(x) = -2*x**3 + x**2 - x + 1. Give 2*l(p) + 50*q(p).
-3860*p**3
Let n(l) = -2*l + 9. Let b(f) = -1. Let d = 10728 - 10723. Calculate d*b(h) + n(h).
-2*h + 4
Let j be 2/3 + 15/(-27)*3. Let l be ((-22)/(-66))/(j/3). Let y(n) = -10*n**2 + 12*n. Let c(a) = a**2 - a. Calculate l*y(z) - 12*c(z).
-2*z**2
Let v(j) = j**2 - 1. Let k be (-12)/18 + 3*(1 - 12/27). Let g(t) = -2*t**3 + 2*t**2 + t - 3. Determine k*g(n) - 2*v(n).
-2*n**3 + n - 1
Let l(s) = -3*s**3 + 9*s**2 + 2*s - 165. Let j(x) = 3*x**3 - 11*x**2 - 3*x + 159. Calculate 4*j(m) + 5*l(m).
-3*m**3 + m**2 - 2*m - 189
Let f(c) be the second derivative of -c**4/12 - c**2/2 - 2*c + 5372. Let o(q) = 6 + 2*q - 4*q + 2 + 5*q**2 - 2. What is 6*f(h) + o(h)?
-h**2 - 2*h
Let k(g) = -47*g**2 + 5*g. Let t(f) = 238*f**2 - 27*f - 1. Calculate 11*k(c) + 2*t(c).
-41*c**2 + c - 2
Let s(a) = -a**2 + 12*a - 73. Let d(b) = -b**2 + 6*b - 40. Calculate -5*d(p) + 3*s(p).
2*p**2 + 6*p - 19
Let a(y) = 43*y + 16. Let c(v) = 20*v + 9. Calculate 2*a(l) - 5*c(l).
-14*l - 13
Let f(w) = -6*w - 10. Let r(u) = -36*u - 67. Let i(t) = -13*f(t) + 2*r(t). Let o(v) = -11*v + 7. Give 5*i(b) + 3*o(b).
-3*b + 1
Let q(b) = 34*b**2 - 543*b - 15. Let o be q(16). Let u(f) = -1 - 5 + 7. Let w(i) = 6*i - 18. Give o*w(c) + 18*u(c).
6*c
Let q(u) = -6*u**2 + 10*u + 3. Let z(d) be the first derivative of 5*d**3/3 - 5*d**2 - 2*d - 2689. Determine -4*q(w) - 5*z(w).
-w**2 + 10*w - 2
Let k(h) = 4425*h**2 - 160*h. Let c(n) = 632*n**2 - 24*n. Give -20*c(l) + 3*k(l).
635*l**2
Let f(p) = p - 1. Let v(o) be the third derivative of -o**4/3 + 2*o**3 - o**2. Let s(q) = q**2 - 249*q + 3280. Let a be s(235). What is a*f(n) - v(n)?
-2*n - 2
Let j(g) = g + 3. Let s(x) be the first derivative of 2*x**3/3 + 6*x**2 + 88*x + 187. Let o(m) be the first derivative of s(m). Calculate -9*j(n) + 2*o(n).
-n - 3
Let l(a) = -a**3 + a**2 + 4*a - 3. Let i(q) = 1354*q**3 - 8*q**2 - 31*q + 24. Calculate i(c) + 8*l(c).
1346*c**3 + c
Let b(m) = 8*m**2 - 33*m - 6. Let n(l) = 15*l**2 - 67*l - 11. Let o = 16737 + -16731. Determine o*n(s) - 11*b(s).
2*s**2 - 39*s
Suppose -7*a - 18 = -53. Suppose -2 = 2*l - a*k, -2*l + 0*k = 5*k + 22. Let t(o) = 9*o. Let c(m) = -m. Calculate l*c(s) - t(s).
-3*s
Let x(s) = 2*s - 7. Suppose -7*f + 6*f = 4*t + 3, 0 = 3*t + 3. Suppose 31*y + f = 32*y. Let u(k) = -k - 1. Calculate y*x(z) - 6*u(z).
8*z - 1
Let o(h) = 5*h**2 + 6*h + 6. Let g(m) = -3 - m - 232*m**2 + 2*m + 233*m**2 + 4. Calculate -4*g(j) + o(j).
j**2 + 2*j + 2
Let r(s) = 143*s + 7. Suppose -3*f + 9 = i, 3*f + 3*i + 14 = 11. Let b(z) = 71*z + 3. Give f*b(w) - 2*r(w).
69*w + 1
Let a(m) = -2*m**3 - 5*m**2 - 6*m - 512. Let u(d) = 3*d**3 + 7*d**2 + 9*d + 768. Give -7*a(z) - 5*u(z).
-z**3 - 3*z - 256
Let h(i) = 85*i**3 - 980*i**2 - 25*i - 25. Let x(g) = -7*g**3 + 82*g**2 + 2*g + 2. Calculate 2*h(w) + 25*x(w).
-5*w**3 + 90*w**2
Let y be 8*(-4)/(-40)*-5. Let d be (y + 13)/((-3)/(-2)). Let b be (d/1)/(8/(-8)). Let o(l) = -3*l**3. Let r(a) = -4*a**3. Calculate b*o(f) + 4*r(f).
2*f**3
Let a(m) = -m - 1. Let q(n) = -5*n**2 + 4*n + 4. Let p(y) = 62*y - 3907. Let g be p(63). Calculate g*q(w) - 4*a(w).
5*w**2
Let b(n) = 44*n**2 - 6*n. Let k(d) = -45*d**2 + 5*d - 1. What is 3*b(h) + 4*k(h)?
-48*h**2 + 2*h - 4
Let v = -368 + 397. Let z(u) = -72 - 180*u + 252*u - 333*u**3 - 43*u**2 - v*u**2. Let a(s) = -23*s**3 - 5*s**2 + 5*s - 5. Calculate 72*a(n) - 5*z(n).
9*n**3
Let q(a) = -a**3. Let b(l) be the first derivative of -3*l**4/4 - 7*l**3/3 + l**2 + 57. Calculate -b(t) + q(t).
2*t**3 + 7*t**2 - 2*t
Let g(a) be the first derivative of -2*a**2 - 7*a - 325. Let h(s) be the second derivative of s**3/6 + s**2/2 - 8*s. Determine -g(x) - 6*h(x).
-2*x + 1
Let m(o) = 50*o - 3. Let h(s) = | {
"pile_set_name": "DM Mathematics"
} |
, m: 8}. Give prob of sequence bb.
5/39
Three letters picked without replacement from yyyyyyyyy. What is prob of sequence yyy?
1
Two letters picked without replacement from {h: 1, u: 3, z: 2, p: 4}. Give prob of sequence up.
2/15
What is prob of sequence yty when three letters picked without replacement from ytpjyppptypjtttpyp?
5/408
Two letters picked without replacement from {s: 2, w: 2, o: 3, r: 4, m: 1}. What is prob of sequence oo?
1/22
Three letters picked without replacement from wwwwxwrxwwrx. Give prob of sequence xxx.
1/220
Calculate prob of sequence thh when three letters picked without replacement from hhhhhhhthhththhh.
39/280
Two letters picked without replacement from fvsuuuvguuvub. Give prob of sequence fb.
1/156
Four letters picked without replacement from pppprdpdpopd. What is prob of sequence pddr?
7/1980
Two letters picked without replacement from dff. What is prob of sequence df?
1/3
What is prob of sequence nb when two letters picked without replacement from {b: 7, n: 5}?
35/132
Four letters picked without replacement from {x: 3, b: 7, j: 1, e: 1}. What is prob of sequence bbbe?
7/396
Calculate prob of sequence xa when two letters picked without replacement from {a: 9, d: 1, x: 2, p: 1}.
3/26
Three letters picked without replacement from mmw. Give prob of sequence wmm.
1/3
Two letters picked without replacement from ccaalcssecaaes. What is prob of sequence sl?
3/182
Calculate prob of sequence xb when two letters picked without replacement from gghhhqzqqbgzhhzxhqb.
1/171
Two letters picked without replacement from {d: 1, j: 6, m: 3, l: 5}. Give prob of sequence lj.
1/7
Two letters picked without replacement from {l: 7, s: 7}. Give prob of sequence ll.
3/13
Four letters picked without replacement from oyddooydyhooyydyydy. Give prob of sequence odyd.
25/2907
Three letters picked without replacement from {e: 2, l: 9, c: 2, q: 1}. What is prob of sequence eql?
3/364
Two letters picked without replacement from {g: 1, h: 9, n: 1}. Give prob of sequence gh.
9/110
Calculate prob of sequence ls when two letters picked without replacement from {e: 3, x: 3, y: 1, l: 2, s: 1}.
1/45
Calculate prob of sequence foo when three letters picked without replacement from ffovottvtvnkkvkn.
1/840
What is prob of sequence ssdd when four letters picked without replacement from {d: 4, s: 4, h: 3, n: 1, k: 2, u: 1}?
2/455
What is prob of sequence pfk when three letters picked without replacement from vgkkkvgbgfkfpff?
8/1365
Four letters picked without replacement from {q: 2, z: 2}. Give prob of sequence qzzq.
1/6
What is prob of sequence hdr when three letters picked without replacement from {h: 3, d: 1, z: 4, r: 3}?
1/110
Calculate prob of sequence mmv when three letters picked without replacement from eevmxmevmmetexxee.
1/170
What is prob of sequence lg when two letters picked without replacement from {n: 2, e: 5, l: 2, i: 8, p: 2, g: 1}?
1/190
Calculate prob of sequence ne when two letters picked without replacement from {n: 1, i: 7, e: 1}.
1/72
What is prob of sequence qttv when four letters picked without replacement from {s: 1, q: 2, g: 1, m: 13, v: 1, t: 2}?
1/29070
Four letters picked without replacement from iyyyyyiiyyiiiyiiiy. What is prob of sequence iiiy?
21/340
Calculate prob of sequence pt when two letters picked without replacement from {t: 2, p: 5}.
5/21
Four letters picked without replacement from wjhwwhwehxhhiwxeh. What is prob of sequence exhx?
1/2380
Calculate prob of sequence gl when two letters picked without replacement from {s: 3, c: 3, g: 1, f: 1, o: 2, l: 1}.
1/110
Two letters picked without replacement from {m: 2, u: 3}. Give prob of sequence mu.
3/10
Calculate prob of sequence ww when two letters picked without replacement from ddhhdwdddwwwrwdd.
1/12
Calculate prob of sequence hqht when four letters picked without replacement from efqiehhteqthfftf.
3/3640
Two letters picked without replacement from {l: 2, d: 10, i: 1, c: 1, f: 4}. What is prob of sequence dc?
5/153
Three letters picked without replacement from atetmtefeteamceec. Give prob of sequence ttm.
1/170
Three letters picked without replacement from pieeppppi. Give prob of sequence pep.
5/63
Two letters picked without replacement from obbbv. Give prob of sequence ob.
3/20
Two letters picked without replacement from {p: 3, s: 6, y: 6}. What is prob of sequence yy?
1/7
Two letters picked without replacement from {z: 14, y: 5}. Give prob of sequence yy.
10/171
What is prob of sequence bww when three letters picked without replacement from {e: 7, b: 8, w: 4, z: 1}?
4/285
Calculate prob of sequence fo when two letters picked without replacement from {o: 5, f: 3}.
15/56
Calculate prob of sequence uu when two letters picked without replacement from nnnnnnnuun.
1/45
Calculate prob of sequence uzzu when four letters picked without replacement from zuzjuuujzjuzzzukpzz.
35/1938
Two letters picked without replacement from {c: 2, g: 1}. Give prob of sequence gc.
1/3
Calculate prob of sequence gg when two letters picked without replacement from gghy.
1/6
Three letters picked without replacement from {h: 8, k: 1, g: 1, c: 5, n: 5}. Give prob of sequence ngk.
1/1368
Four letters picked without replacement from {h: 3, u: 1, p: 5, r: 6}. Give prob of sequence hhpu.
1/1092
Four letters picked without replacement from kknfntfffggnffgkkf. Give prob of sequence kftf.
7/3060
Two letters picked without replacement from kjrhkkkkh. What is prob of sequence kr?
5/72
Four letters picked without replacement from {b: 3, p: 4, j: 2}. Give prob of sequence bbjj.
1/252
Calculate prob of sequence yro when three letters picked without replacement from ryohh.
1/60
Two letters picked without replacement from tjjsssjslqsqjqtsl. What is prob of sequence tj?
1/34
Calculate prob of sequence ifzk when four letters picked without replacement from qqqiqfqqqfzqkzzzzfz.
1/5168
What is prob of sequence yo when two letters picked without replacement from yyyyyyohyhohyyyv?
1/12
Three letters picked without replacement from {g: 1, s: 1, t: 3, b: 2}. What is prob of sequence bgt?
1/35
Two letters picked without replacement from lntngt. What is prob of sequence nn?
1/15
What is prob of sequence nn when two letters picked without replacement from {r: 1, o: 3, x: 2, n: 7, p: 4}?
21/136
Calculate prob of sequence yr when two letters picked without replacement from jyrjque.
1/42
Four letters picked without replacement from {m: 6, h: 1, w: 8}. What is prob of sequence wmmh?
2/273
Calculate prob of sequence hb when two letters picked without replacement from {f: 1, h: 5, b: 2, g: 1, z: 1}.
1/9
Three letters picked without replacement from {s: 1, b: 1, j: 1, f: 2, u: 1, c: 1}. Give prob of sequence ssc.
0
Two letters picked without replacement from iiiiqnqqik. Give prob of sequence iq.
1/6
Four letters picked without replacement from pwpwpp. What is prob of sequence pppw?
2/15
Calculate prob of sequence ozz when three letters picked without replacement from pooppppzpppz.
1/330
What is prob of sequence nvwn when four letters picked without replacement from vwvwnvnvnnn?
2/99
Calculate prob of sequence vr when two letters picked without replacement from vkplxvrllxv.
3/110
What is prob of sequence ga when two letters picked without replacement from {a: 8, g: 3}?
12/55
Calculate prob of sequence ysd when three letters picked without replacement from {y: 9, s: 3, d: 1, a: 1}.
9/728
Three letters picked without replacement from {n: 7, i: 6}. What is prob of sequence iin?
35/286
Two letters picked without replacement from didiqiuuqdi. Give prob of sequence di.
6/55
What is prob of sequence oy when two letters picked without replacement from {y: 7, o: 2, b: 4, h: 3, w: 1}?
7/136
What is prob of sequence mm when two letters picked without replacement from {q: 7, m: 3, v: 3}?
1/26
Two letters picked without replacement from xqvxxvxvxvvxzvys. Give prob of sequence sv.
1/40
Three letters picked without replacement from puppvuuuv. Give prob of sequence pvu.
1/21
Two letters picked without replacement from hfffh. What is prob of sequence hf?
3/10
Two letters picked without replacement from umcmumm. Give prob of sequence um.
4/21
Three letters picked without replacement from {q: 3, l: 1, y: 2, r: 2, s: 4}. Give prob of sequence lsq.
1/ | {
"pile_set_name": "DM Mathematics"
} |
h**2 - 1/20*h**5 + 0*h**4 - 1/2*h**3 + 0 - 1/120*h**6. Give v(-3).
-3
Let j(s) be the first derivative of -s**3 + 1/120*s**5 + 0*s**2 + 0*s**4 + 0*s - 1/90*s**6 + 4. Let h(m) be the third derivative of j(m). What is h(1)?
-3
Let r be -5 - (2 + -4) - 4. Let x(n) = n + 9. Determine x(r).
2
Let s(y) = y**2 - 4*y. Let f be s(4). Suppose 4*x - x + 9 = f. Let w(p) = 3*p. Determine w(x).
-9
Let n(r) = 76*r**3 + 5*r**2 - 4*r**2 - 75*r**3 - 4*r. Determine n(-4).
-32
Let p(s) = -1 + 0*s + 16*s - 5*s. Let f(b) = -b**3 - b**2 - b + 2. Let h be f(1). What is p(h)?
-12
Let i(k) = k. Let x(m) = -m**2 + 6*m - 1. Let c be x(6). Let l = 4 - c. Calculate i(l).
5
Let s(i) = -i - 1. Let q(x) = 4*x + 5. Let r(f) = -4*q(f) - 18*s(f). Suppose -p - 2 = -0. Let y = p + 0. Determine r(y).
-6
Let q(i) be the second derivative of i**4/12 + i**3 + 5*i**2/2 + i. Let j be 3/((-9)/30*-2). Suppose 5*p = -j - 20. What is q(p)?
0
Let q(i) be the second derivative of -i**7/2520 + 7*i**6/720 - 7*i**5/120 - i**4/4 - 5*i. Let j(a) be the third derivative of q(a). Give j(5).
3
Let v(t) be the third derivative of t**5/60 + t**4/8 - 5*t**3/6 + 2*t**2. Determine v(-6).
13
Suppose -5*q - 5*n = -160, 5*q = q + 5*n + 101. Let g be q/(-9) + 4/18. Let h(w) = 2 - w**2 - 3*w + 0*w + 0. Determine h(g).
2
Let c(r) be the second derivative of r**4/12 + r**3/3 - r**2 - 2*r. Let m(p) = -p. Let z(y) = c(y) + 3*m(y). Give z(4).
10
Let u = -8 + 10. Let d(j) = 7*j**u + 4*j - 6*j**2 - j. Calculate d(-3).
0
Let f(u) = 5*u + u**2 + 6*u - 5*u - 9. Determine f(-8).
7
Let x(p) = 5*p**2 - 3*p + 2. Let z(y) = y**2 + 2*y + 3. Let d be z(-1). Give x(d).
16
Let h be (-96)/(-40) + 4/(-10). Let i(v) = -v**3 + v**2 - 2*v. What is i(h)?
-8
Let h(b) = b + 4. Let q(o) = -o**3 + 11*o**2 - 8*o - 20. Let z be q(10). What is h(z)?
4
Let r(l) = -l**3 - 7*l**2 - 6*l - 1. Let z = -16 + 22. Suppose 4*c = 3*c - z. Calculate r(c).
-1
Let a(k) = k**2 + 6*k - 8. Let m be 2 + (30/(-1))/3. Determine a(m).
8
Let t = 20 - 22. Let o(n) = 3*n**2 - 3*n - 3. What is o(t)?
15
Let o(d) = 0*d - 6*d + 3*d**3 + d + 5*d**2 + 2*d**2 + 5. Let f(k) = 2*k**3 + 3*k**2 - 3*k + 2. Let z(g) = 5*f(g) - 3*o(g). Give z(6).
-5
Let g(w) be the first derivative of 1/60*w**5 - 2 + 1/2*w**3 + 0*w + 3/2*w**2 + 5/24*w**4. Let k(a) be the second derivative of g(a). Determine k(-3).
-3
Let l(z) be the second derivative of -z**8/6720 - z**7/630 - z**6/720 + z**5/60 - z**4/12 + 2*z. Let m(o) be the third derivative of l(o). Give m(-3).
-4
Let y(c) = c**3 + 4*c**2 + 3*c + 1. Let l = 16 - 8. Let m = -11 + l. What is y(m)?
1
Suppose 3*a + 1 + 2 = -2*x, 4*x + 5*a + 3 = 0. Suppose 5*b - 28 = -x. Let p(q) be the second derivative of -q**4/12 + 5*q**3/6 - q**2 - 2*q. Determine p(b).
-2
Let l(h) = -2*h**3 + 6*h**2 + 3*h + 4. Let f(i) = i**3 - 3*i**2 - i - 2. Let u(p) = 13*f(p) + 6*l(p). Determine u(3).
13
Let r(b) = -b**3 + b**2 + 1. Suppose t = 6*t + 5. Let p be t/(-2)*(-2 + 2). Suppose p = 2*z - z - 2. Calculate r(z).
-3
Let r(l) be the first derivative of l**2/2 - l + 1. Suppose -27 = 6*v - 21. Give r(v).
-2
Suppose -r = 4*r + 25. Let k(p) = -2*p - 4. Calculate k(r).
6
Let l(f) be the second derivative of f**2 - 1/6*f**3 + 0 + 3*f. What is l(4)?
-2
Let b be 16/(-88) - (-62)/(-22). Let n be -2*b/(-18)*3. Let x(y) = y**2 + 2*y + 1. Give x(n).
0
Let b(l) be the second derivative of -5*l**3/6 + l**2/2 - l. Suppose -k - k - 10 = 0. Let o be 0/2 + (k - -6). Determine b(o).
-4
Let z(a) be the first derivative of -a**6/360 - a**5/120 + a**4/12 + a**3 + 3. Let r(y) be the third derivative of z(y). Suppose 3*p = 2 - 8. Determine r(p).
0
Let r(n) = -n**2 + 3. Let v(j) = -4*j + 1 + 1 + 3*j - j**2 + 0*j. Let s be v(-2). Let b = -3 - s. Give r(b).
-6
Let b(m) = -m**2 + m + 2. Let w = 47 - 47. Determine b(w).
2
Let z(a) = -a**2 - 7*a - 6. Suppose 7*s + 44 = -4*s. Determine z(s).
6
Let h(r) = r**3 - 3*r**2 - 4. Suppose -4*f - 20 = -9*f. Determine h(f).
12
Let v(m) = -m + 8. Let g(a) = 2*a**2 - a. Let q be g(2). Calculate v(q).
2
Let r = -16 - -12. Let l(t) = -t - 4. Calculate l(r).
0
Suppose n = 2*n - k + 2, 5*k = 25. Suppose n*d + 0 = 9. Let q(i) = 1. Let y(l) = -l. Let m(f) = 4*q(f) + y(f). Determine m(d).
1
Let i(d) = 3*d - 3. Suppose -5*n + 15 = -0. Calculate i(n).
6
Suppose d + 2 - 5 = 0. Let t(y) = -y**2 + y. What is t(d)?
-6
Let b = -1 + 3. Suppose -b*v + 8 - 2 = 0. Let p(h) be the first derivative of -h**3/3 + 5*h**2/2 - 2*h - 1. Determine p(v).
4
Let u = 10 - 6. Suppose -3*n + 5 + u = 0. Let d(j) = -j**2 + 3*j - 3. What is d(n)?
-3
Suppose 4*w + 107 = 3*r - 2*r, r = -2*w - 55. Let b = -18 - w. Suppose b + 0 = -3*d. Let n(g) = -3*g - 2. What is n(d)?
7
Let u be (-98)/56*(-4)/(-1). Let x(r) = r**2 + 2*r - 9. Give x(u).
26
Suppose 2*l + 0 = -2. Let x be (l - (0 + -1))*-1. Let w(m) = x*m + m + 5 + 0*m. Give w(-5).
0
Let n(m) be the third derivative of -m**6/120 - m**5/12 + m**4/6 - 7*m**3/6 - m**2. Give n(-6).
5
Suppose 3*f - 5*b = -34, 2*b + 10 = 5*f + 7*b. Let m(s) = 2*s**2 + 4*s - 1. Give m(f).
5
Let h(f) = -f**3 - 3*f**2 + 4*f - 1. Let r(d) = d**2 - 11*d + 20. Let q be r(8). Determine h(q).
-1
Let n(w) = w**2 - 4*w + 1. Let q be (11*-1)/(7 - 6). Let u = q - -14. What is n(u)?
-2
Let y = -11 + 15. Let f(i) = 2*i + 2. Calculate f(y).
10
Let m(q) = q + 4. Let v be m(-4). Let o(f) be the first derivative of -f**3/3 + 2*f + 6. Determine o(v).
2
Let n(l) = l**3 - l**2 - 1. Let u(a) = 2*a**3 - a**2 - 10. Let q(r) = -n(r) + u(r). Let h(f) = f + 2. Let z be h(-4). Let y = z + 2. Calculate q(y).
-9
Let s be (-1 + 1)*(2 - 1). Let u = -2 - s. Let k(a) = 7*a**2 - 3*a + 9. Let f(o) = 4*o**2 - 2*o + 5. Let y(b) = 5*f(b) - 3*k(b). Calculate y(u).
-4
Suppose u - 4 = 1. Suppose -30 = -u*z + 5*s, 2*z + 2*z = -4*s. Let m(h) = h**z + 0*h - 5 - h - 3*h + 0*h**2 + 3*h**2. Determine m(-4).
-5
Suppose -19 = -5*w + 2*i + 29, 0 = 2*w + 2*i - 22. Let z = w - 7. Let x(v) = -2*v - 2. Give x(z).
-8
Let m(t) = -t**2 - 7*t - 7. Suppose 5*q - 3*r + 12 = 0, 4 = -4*q - 4*r - 12. Let g = 3 - q. Let n be 2*((-21)/g - -1). Give m(n).
3
Let g(y) be the first derivative of -y**5/120 - y**4/4 - 7*y**3/3 - 4. Let c(z) be the third derivative of g(z). Calculate c(0).
-6
Suppose 0 = -2*v + 3*r + 10, -2*v - 2*r + 6*r + 10 = 0. Let m = -31 - -33. Let y(g) = m*g**2 - 6*g + 5 + 2*g**2 - 3*g**2 + 0. Determine y(v).
0
Let u(k) be the second derivative of -k**3/6 - 2*k**2 + 2*k. Let x be (-1 - -5)*7/(-4). Let p = x - -5. Calculate u(p).
-2
Let a(m) = 2*m**2 - 6*m + 6. Let w(n) = 3*n**2 - 6*n + 6. Let o be -1 + (-1 - (-1)/(-1)). Let t(v) = o*w(v) + 4*a(v). Give t(-6).
6
Let f(s) be the third derivative of 5*s**4/24 - s**3/2 + 28*s**2. Suppose -2*a + 10 = -3*m, 3 = 3*a + m - 1. Calculate f(a).
7
Let c(d) = 5*d + 4. Let y(x) = 4*x**3 - 3*x - 2. Let s be y(-1). Determine c(s).
-11
Let h(c) be the first derivative of 0*c**2 + 7/24*c**4 + 0*c - 1 - 1/120*c**5 + 1/3*c**3. Let q(p) be the third derivative of h(p). Give q(4).
3
Suppose -i + 1 + 2 = 0. Let d(p) = -p**2 + 3. What is d(i)?
-6
Let y be (1 + -14)*(-9 - -8). Suppose 2*d - y = 2*k + 3*d, -3*k - 6 = -3*d. Let b(f) = f**2 + 5*f + 3. Give b(k).
3
Let c(b) be the third derivative of 0 + 7*b**2 + 0*b + 1/24*b**4 - 13/6*b**3. Determine c(6).
-7
Let u = -14 + 4. Let k = u + 16. Let x(n) = -n**2 + 7*n - 3. Let o be x(k). Let d(g) = -g**2 + g + 2. What is d(o)?
-4
Let l = 21 + -14. Let y(u) = 0 + 3*u - u + l. Let c = -114 - -109. What is y(c)?
-3
Let f(t) = t**2 - 5*t + 1. Let s be (-20)/1*6/(-24). Determine f(s).
1
Let z(s) be the third derivative of s**4/24 - 10*s**2 + s. What is z(6)?
6
Let r(x) be the second derivative of -x**4/4 + x**2/2 - 19*x. Determine r(-2).
-11
Let f(u) = u**3 + 2*u**2 - 3*u + 3. Let m(o) = o**2 + 5*o + 8. Let c be m(-4). Suppose -8*a = -c*a + 12. Calculate f(a).
3
Let j(d) = 0*d**2 + d**2 + 3*d**2 - 5*d + d**3. Let l = 1 - 6. What is j(l)?
0
Let v(q) = -8*q**3 + 2 + q**3 - 9*q**2 + 4 + 7*q + 8*q**3. Calculate v(8).
-2
Let j(a) = -a**3 + 13*a**2 + a - 16. Let i be j(13). Let f(l) = -5*l - 4. Give f(i).
11
Let r be 4*(-2)/((-8)/(-5)). Let m(f) = 2*f**3 - 3*f**2 + 10. Let w(d) = -d**3 - d**2 - d - 1. Let o(j) = m(j) + 3*w(j). Give o(r).
-3
Let q(x) = x**3 + x. Let s(i) = -3*i**3 + 3*i**2 - 10*i - 3. Let g(u) = 4*q(u) + s(u). What is g(-4)?
5
Let t(h) = h + | {
"pile_set_name": "DM Mathematics"
} |
- (-860)/351 and 131/24?
216
Let r(f) be the second derivative of f**4/12 + f**3 - 3*f**2 - 4*f. Let i be r(-5). Calculate the lowest common multiple of 6 and (-3 - -1)*(i - -1).
60
Let y = 2543/4170 + -6/139. Calculate the common denominator of y and 73/60.
60
Let m(n) = 5*n + 28. Let y be m(-6). What is the common denominator of -115/18 and 27/(-12)*(y + 68/33)?
198
Let r be 8/((-7)/(21/6)). Let w(z) = -z**3 - 2*z**2 - 2*z + 3. Let f be w(r). What is the common denominator of (-16)/(-24)*f/(-12) and 111/22?
198
Suppose -4*l - 5*b + 30 = 0, 0*b + b + 52 = 5*l. What is the lowest common multiple of l and 546?
2730
Suppose 11*z + 14*z = 75. Calculate the smallest common multiple of z and 111.
111
Suppose 5*p + 14 = -3*y, p = -2*p - 12. Let g be y/7 - (-75922)/(-110005). Let n = -2/449 - g. What is the common denominator of -101/14 and n?
70
Let i = 1877/5 + -313449/835. Let d = 3825/1336 + i. Calculate the common denominator of d and -49/16.
16
Let u(b) = -14*b - 200. Calculate the lowest common multiple of u(-15) and 245/20 + (-2)/8.
60
Suppose 0 = 5*d - 173 + 33. Suppose d = 4*x - 0. Suppose -x*r + 3*r + 36 = 0. Calculate the smallest common multiple of r and 4.
36
Let x = -38029 - -1369151/36. Find the common denominator of 17/16 and x.
144
Let k be -1*6/4 - 15/(-2). Calculate the common denominator of -51/2 and (174/16)/((-33)/k + 4).
4
Suppose -l - 17 = -5*j, 0 = 6*l - 3*l - 9. Let q be 328/12*9/6. Suppose -j*k + q = 17. Calculate the least common multiple of 1 and k.
6
Let q = -48 - -98. Suppose -5*u + 60 = 2*n, -2*u + q = u + 4*n. Find the common denominator of 0 - (2 - 94/u) and -1/8.
40
Suppose -15*y = -20024 - 1006. What is the least common multiple of y and 20?
14020
What is the lowest common multiple of 5 + (2/(-3))/((-86)/(-387)) and 352?
352
Let n be 10/3 - (-3)/(-9). Suppose -4*a + 2 = 2*b - 0*b, -2*a - n = 5*b. What is the smallest common multiple of a and (-50)/(-20) + (-1)/(-2)?
3
Let u(t) be the first derivative of t**3/3 + t**2 + t + 1. Let s be ((-10)/6)/((-29)/(-87)). Calculate the least common multiple of u(s) and 16.
16
Let r = -31 + 35. Suppose 3*b + 72 = r*h - 4, 2*b = -3*h + 40. Let z = 24 - h. What is the lowest common multiple of 2 and z?
8
Let f = 8 + 0. Let u be (2/(-4))/((-8)/48). Suppose c = u*c - f. What is the lowest common multiple of c and 4?
4
Let u be 2 - 52/(-14) - (-6)/21. Let j = 626 - 1862/3. What is the common denominator of 32/u + (-12)/(-36) and j?
3
Suppose 20 = 3*g - 4*g + 5*b, 0 = -2*g - b - 40. Let t = g + 26. What is the least common multiple of 2 and t?
6
Let q(y) = y**3 - 6*y**2 + 5*y - 30. Let g be q(6). Suppose d - 2*x - 38 - 8 = g, 5*x = -10. What is the lowest common multiple of d and 22?
462
Let k = 22940/27 - 7630/9. Find the common denominator of 163/30 and k.
270
Let m be (-16)/5*(-1 - (-132)/(-8)). Let x = 67 - m. What is the lowest common multiple of 15 and x?
165
Let l(u) = -2*u + 4. What is the least common multiple of 36 and l(-34)?
72
Find the common denominator of -4 + 6 - 390/55 and 1/17.
187
Let r = -1324 - 6954. Let t = -82663/10 - r. Find the common denominator of -23/4 and t.
20
Suppose 4*k - 32 = w, 24 = 3*k + 3*w - 0*w. Let c be k/(-44) + 44095/(-990). Let o = c - -182/9. Find the common denominator of o and -79/8.
8
Let b = -198 + 214. Calculate the smallest common multiple of b and 466.
3728
Let d = -7 + 7. Let a be (d - -26)*3/(-63). Let y = -1627/42 - a. What is the common denominator of 67/4 and y?
4
Let y = 2 + 14. What is the lowest common multiple of y and 156/60 - 6/10?
16
Let x = 30 - 28. Suppose x*w + 4*a = 24, 86 = 9*w - 4*w - 3*a. What is the least common multiple of 3 - (1/1)/(-1) and w?
16
Find the common denominator of 131/12 and (533/(-24))/13*(-4)/(-2).
12
Suppose 0 = 3*d + 4*o + 5, 0 = 4*d + 7*o - 5*o. Calculate the common denominator of (41/(-40) + d)*58 and 41/16.
80
Let u = 15306 - 1836547/120. What is the common denominator of -79/45 and u?
360
Suppose -4*f = 5*n - 36, 5*f - 2*n = -5*n + 32. Find the common denominator of 91/10 - (0 + 0) and (f - 4) + 120/(-44).
110
Let b = -365609/151902 + -3/5626. Find the common denominator of -23/99 and b.
297
Suppose 5*c - 2 = -32. Calculate the lowest common multiple of (-11)/(-2) + (-9)/c and ((-133)/(-14))/19*(5 - 1).
14
Let j(y) = y**2 + 5*y - 6. Let p be (-1 - (20/4 + 1))*1. What is the least common multiple of j(p) and 8?
8
Let s(y) = 11*y**2 + y - 21. Let d(p) = 5*p**2 - 10. Let o(q) = -13*d(q) + 6*s(q). What is the lowest common multiple of -6*4*(-2)/(-6)*-1 and o(-6)?
8
Let c = 281 - 158. Let b = -109 + c. Calculate the least common multiple of 12 and b.
84
Suppose -6 = -k - a, -2 = -0*k + k - a. Suppose -4*l + 20 = l. Suppose -6 = j - l*j. Calculate the lowest common multiple of j and k.
2
Let d(i) = 141*i + 10. Let z be d(10). Let f = -209/9 + 1231/72. What is the common denominator of (6/20)/(24/z) and f?
8
Let j be 1318/276 - (0 + 0). Let m be (126/(-138))/((-6)/(-4)). Let d = j + m. Find the common denominator of d and 2/9.
18
Let i = -1203/77 - -252/11. Calculate the common denominator of (-324)/630*(-14)/8 and i.
70
Let i = 3 - -4. Let z = 264 + -164. Suppose 0 = -104*j + z*j + 28. What is the smallest common multiple of j and i?
7
Let i = 55 - 75. Calculate the common denominator of (106/i)/(9/2 - 4) and -34/31.
155
Suppose 0 = 2*i + 3*l + 39, -3*l = -4*i - 94 + 25. Let c be -1 + (1 - 0 - i). Let v = c - 9. What is the smallest common multiple of 11 and v?
99
Let n(b) = 3*b**2 + b + 6. Let a be n(-8). Let r = 454593/7 + -65134. Let d = a + r. Calculate the common denominator of 21/10 and d.
70
Let m = -148 + 45. Let d = 31 - m. Suppose 49 = g - i, 5*g - 131 - d = i. What is the lowest common multiple of 4 and g?
108
Suppose -26*k + 118 = 14. What is the smallest common multiple of 16 and k?
16
Suppose -1 - 17 = 5*i - s, 6 = -3*i - s. Let f(n) = -n**3 - 2*n**2 - 7. Calculate the lowest common multiple of 6 and f(i).
6
Let g = -1 - -8. Let q = -4331/222 - -1/111. Find the common denominator of 2/7*14/24*g and q.
6
Let x = 2479 - 89251/36. Calculate the common denominator of 4/4*148/(-42) and x.
252
Let b be ((-16)/6)/(18/81). Calculate the common denominator of (33/b - -3)*(-41)/4 and 91/8.
16
Let l be (236/12)/((-3)/(-5)). Let p = 33 - l. Find the common denominator of -49/8 and p.
72
Let s = 21/137 - -5199/6302. What is the common denominator of 31/5 and s?
230
What is the common denominator of ((-3)/10)/((-4)/90) and 116/72 + (-1)/(-2)?
36
Let p(t) = -t**2 - 25*t - 48. Let v(h) = h**2 + 24*h + 49. Let s(k) = -3*p(k) - 4*v(k). What is the lowest common multiple of s(-18) and 14?
14
Let u(w) = w**3 - 2*w**2 - 5*w + 5. Calculate the lowest common multiple of u(0) and 130.
130
Find the common denominator of (8/48)/((-4)/(-94)) and 790/150 - (-1)/10.
60
Let f(p) = p + 5. Let n be f(-4). Let k be (-3 - -2)/(n/(-2)). Suppose -k*h = -0*h - 20. What is the least common multiple of h and 10?
10
Suppose -2*d + 4*r = 2*d - 24, -2*d + r = -12. Find the common denominator of 61/12 and (3 - 33/d)*111/(-90).
12
Find the common denominator of (-15)/12*(-1764)/700 and -103/3378.
33780
Let p(q) = 3*q - 13. Let z(h) be the first derivative of -h**2 + 13*h + 4. Let m(t) = -4*p(t) - 5*z(t). Calculate the lowest common multiple of m(-12) and 4.
44
Let w = -931 + 7459/8. Suppose -25 = 5*y, 10 = 5*u + 5*y - 3*y. Calculate the common denominator of 5/60*-11 + u and w.
24
Let c(u) = -u + 4*u**2 - 5*u**2 + 2*u**2. Let n = 48 - 45. Calculate the smallest common multiple of 10 and c(n).
30
Let n(u) = u**2 + 6*u - 4. Suppose -9*i = -13*i - 124. Let q = -11 - i. Calculate the least common multiple of q and n(-8).
60
Suppose -2*y - 3*d = -13, -y - d = -0*y - 7. Let f = -1604 - -1610. What is the lowest common multiple of f and y?
24
Let o = 1/8609827 + -1135541473217/120537578. Let x = o + 9427. What is the common denominator of x and ((-26)/(-88))/(4/(-24))?
154
Suppose 2*z = -3*w - w - 18, 5*z = -4*w - 3. What is the common denominator of (-158)/(-12) + 11 + w and 53/8?
24
Let w = -15/418 - -12391/1672. What is the common denominator of -109/196 and w?
392
Suppose 4*u - 146 = -l, 4 = 5*l - 6. Suppose 3*f + 4*o - u = f, 0 = f + 4*o - 26. What is the smallest common multiple of f and 6?
30
Let v = 6095443 - 1194704057/ | {
"pile_set_name": "DM Mathematics"
} |
*n**2 - n**6 + 0*n**2 wrt n.
-120*n**3
Let q(h) be the second derivative of -9*h**4/4 - h**3/3 - 29*h**2/2 - 70*h. Find the first derivative of q(b) wrt b.
-54*b - 2
Let l(k) be the third derivative of -8*k**4 + 169*k**3/3 - 49*k**2 + k. Differentiate l(f) with respect to f.
-192
Find the third derivative of -7*v**2 + 70*v**3 - 2 + 2*v**2 - v**4 - 7*v**2 + v**3 wrt v.
-24*v + 426
Let c(d) = -2*d + 11. Let w be c(-5). Suppose 9 = 5*z - w. What is the third derivative of 7*t**z - 6*t**4 + 8*t**2 - 2*t**2 + 6*t**4 wrt t?
840*t**3
What is the third derivative of -50*h**2 + 14*h**2 + 23*h**2 - h + h**5 - 69*h**2 - 37*h**2 + 11*h**3 wrt h?
60*h**2 + 66
Find the third derivative of 3*m**4 + 10*m**3 - 15*m**3 - 3*m**3 - 129*m**2 - 66*m**2 wrt m.
72*m - 48
Let t(z) = -z**3 - 9*z**2 + 6*z - 18. Let c be t(-10). What is the first derivative of -16 - 10 - 43*o**4 - 13 + c wrt o?
-172*o**3
Let z(f) be the third derivative of 0 - 1/20*f**5 - 13/6*f**3 + 0*f + 3*f**2 + 0*f**4. What is the derivative of z(q) wrt q?
-6*q
Let c(k) be the second derivative of 2*k**7/21 + k**5/5 + k**3/6 - 5*k**2 - 4*k + 3. Find the second derivative of c(m) wrt m.
80*m**3 + 24*m
Let j(g) be the first derivative of 23*g**6/30 + 7*g**4/4 - 4*g + 25. Let q(s) be the first derivative of j(s). Find the third derivative of q(r) wrt r.
552*r
Let z(n) = -n**2 - 4*n. Let u(r) = -4*r**3 - 4*r**2 + 3*r + 8. Let g(w) = u(w) + 2*z(w). Find the second derivative of g(m) wrt m.
-24*m - 12
Let u(l) = -7*l - 1. Let d(i) = 50*i - 188. Let h(q) = -3*d(q) - 15*u(q). Differentiate h(c) wrt c.
-45
Let c(g) be the first derivative of -g**9/28 - g**5/60 + 7*g**2/2 + 46. Let r(z) be the second derivative of c(z). What is the third derivative of r(f) wrt f?
-2160*f**3
Let x(t) be the second derivative of 17*t**4/12 + 19*t. Let c(g) = -18*g**2 - g. Let q(n) = 5*c(n) + 6*x(n). What is the second derivative of q(l) wrt l?
24
Let t(m) be the third derivative of 103*m**9/126 - 227*m**5/60 - m**3/3 - 629*m**2. What is the third derivative of t(x) wrt x?
49440*x**3
Let v(p) = -2*p**2 - 190*p + 253. Let b(t) = -4*t**2 - 384*t + 507. Let g(n) = -3*b(n) + 5*v(n). What is the derivative of g(r) wrt r?
4*r + 202
Let f(i) = -328*i**2 - 224*i + 96. Let p(q) = q**2 - q - 4. Let r(d) = -f(d) - 24*p(d). Find the second derivative of r(v) wrt v.
608
Let b(t) = 105*t**3 - 11*t**2 - 517*t + 5. Let g(s) = -52*s**3 + 5*s**2 + 258*s - 2. Let w(p) = 2*b(p) + 5*g(p). Find the second derivative of w(a) wrt a.
-300*a + 6
Let g be 4*1 + (-8 - -6). Differentiate 10*d - 7 - 9*d**g - 10*d + 0 with respect to d.
-18*d
What is the third derivative of -262*f**2 - 45 - 294*f**6 + 83 - 7*f**2 - 36 wrt f?
-35280*f**3
Let r = -62 - -72. Differentiate -5*j + r*j**3 + 5*j - 42 + 41 with respect to j.
30*j**2
Let f(r) be the first derivative of 49*r**4/2 - 167*r**3 + 407. What is the third derivative of f(q) wrt q?
588
Let h be (-7)/5 - (-6)/15. Let o be -53*(2 + -1)/h. Find the third derivative of -o + w**2 + 53 - 2*w**6 wrt w.
-240*w**3
Find the second derivative of -93*b - 112*b**4 - b**2 + 112*b**4 - 2*b**5 - 2*b**5 + b**5 wrt b.
-60*b**3 - 2
Let g be (1/1 - 0/(-2))*11. Find the third derivative of -26*y + g*y - 50*y**2 + 15*y + 2*y**6 wrt y.
240*y**3
Find the third derivative of 30*k**3 + 22*k**3 - 20*k**2 + 56*k**2 + k**3 wrt k.
318
Let o(q) be the second derivative of -q**7/21 - 29*q**6/30 + 13*q**3/6 + q**2/2 + 4*q + 5. Find the second derivative of o(w) wrt w.
-40*w**3 - 348*w**2
Let b(y) = -63*y**4 - 8*y**3 + 23*y - 4. Let j(k) = 441*k**4 + 54*k**3 - 162*k + 27. Let h(v) = -27*b(v) - 4*j(v). Find the second derivative of h(m) wrt m.
-756*m**2
Find the third derivative of 223*l**2 + 95*l**5 + 86*l**5 + 117*l**5 - 72*l**5 wrt l.
13560*l**2
Let j(y) = -3*y**3 + 2*y**2 - 54*y + 15. Let k(d) = 4*d**3 - 3*d**2 + 52*d - 16. Let z(o) = -3*j(o) - 2*k(o). What is the first derivative of z(i) wrt i?
3*i**2 + 58
Let d(l) be the first derivative of -7/3*l**6 + 0*l**5 - 9 + 0*l**4 + 20/3*l**3 + 0*l**2 + 0*l. Find the third derivative of d(z) wrt z.
-840*z**2
What is the second derivative of 267*m - 35*m**2 + 48*m**2 + 23*m**2 + 82*m**2 + 73*m**2 wrt m?
382
Let a be (1 + 3)/8*-34. Let j = a - -19. Find the first derivative of -93*u - j - 2*u**2 + 93*u wrt u.
-4*u
Let b(s) be the second derivative of s**7/70 - s**4/6 + 2*s**3/3 + 3*s. Let w(l) be the second derivative of b(l). What is the first derivative of w(t) wrt t?
36*t**2
Let j(n) = 0*n**2 - n**3 - 5*n - 14 + 5*n**2 + 20. Let y be j(4). What is the second derivative of 0*c - c**y + 1 - 1 + 4*c wrt c?
-2
Let t = 39 - 39. Let u(y) be the second derivative of 0 + 0*y**2 + 2*y - 2/3*y**3 + t*y**4 - 1/20*y**5. What is the second derivative of u(g) wrt g?
-6*g
Let i = -6 + 10. Let a(j) = j**2 - 3*j. Let r be a(i). What is the second derivative of 4*c**3 - 2*c + 3*c**3 - r*c**3 wrt c?
18*c
Differentiate 8*u**3 + 1132*u**2 - 2*u**4 - 1132*u**2 - 2*u**3 - 9 wrt u.
-8*u**3 + 18*u**2
Suppose -25 = -3*p - 7. Let i = 10 - p. What is the third derivative of -n**4 - n**2 - i*n**2 - 4*n**4 + 4*n**4 wrt n?
-24*n
Let k(f) be the third derivative of 4*f**7/105 + f**6/120 - 3*f**5/5 + 40*f**2 + 1. What is the third derivative of k(a) wrt a?
192*a + 6
Let q(d) be the first derivative of -19*d**6/120 - 11*d**5/60 - d**2 - 6. Let g(t) be the second derivative of q(t). Find the third derivative of g(f) wrt f.
-114
Let x(i) be the second derivative of -i**6/10 - 19*i**4/2 + 331*i**3/3 + 16*i - 1. What is the second derivative of x(p) wrt p?
-36*p**2 - 228
Let p(t) = t**2 + 9*t - 2. Let w(o) = 481*o**2 - 24*o - 12. Let x(h) = -6*p(h) + w(h). What is the second derivative of x(v) wrt v?
950
Let s be 1/(1/181) - 4. Find the second derivative of 177*l**3 - 9*l - 2*l**4 - s*l**3 wrt l.
-24*l**2
Suppose 127*n - 128*n = -4. Find the third derivative of 52*j**2 + 36*j**4 + 14*j**4 - 14*j**n + 11*j**4 wrt j.
1128*j
Find the first derivative of -69*k**3 + 66*k**3 + 52 + 29*k**3 + 23*k**3 wrt k.
147*k**2
Let c(i) be the second derivative of 27*i**5/20 - 138*i**2 + 4*i + 2. Find the first derivative of c(f) wrt f.
81*f**2
Suppose -4*k = y + 37, 4*k + 29 = k - y. Let b(a) = -a**2 - 7*a + 10. Let j be b(k). Find the second derivative of -68*m**2 - 7*m**3 + 68*m**j - m wrt m.
-42*m
What is the third derivative of 95*w**6 - 19*w**2 + 102*w**6 - 297*w**6 + 109*w**6 wrt w?
1080*w**3
Let n be (-7)/(-5) - -2 - 10/25. Let i(p) be the third derivative of 1/12*p**4 + 0 + 3*p**2 + 0*p + 7/6*p**n. Find the first derivative of i(d) wrt d.
2
Let c(p) = -p**3 - 1. Let u be (-3)/6 - 81/(-18). Let b(f) = 19*f**3 - 3*f**2 + 4. Let v(a) = u*c(a) + b(a). Find the third derivative of v(j) wrt j.
90
Let n(f) = -f**3 - f - 1. Let a(w) = 10*w**3 + 2*w**2 + 88*w + 2. Let o(x) = a(x) + 2*n(x). What is the second derivative of o(t) wrt t?
48*t + 4
Let l(r) be the second derivative of -r**6/5 - r**5/10 + 517*r**4/12 - r + 248. What is the third derivative of l(h) wrt h?
-144*h - 12
Let k = 8 + -5. What is the third derivative of -10*q**2 + 11*q**k - 3*q**2 - 5*q**3 - 9*q**3 wrt q?
-18
Let b(g) = -65*g + 101. Let d(q) = -67*q + 100. Let m(n) = 5*b(n) - 4*d(n). Differentiate m(u) with respect to u.
-57
Find the third derivative of -7*u**2 + 131*u**3 - 14 - 6*u**2 + 14 + 157*u**2 wrt u.
786
Let y(s) = 693*s**2 + 32*s. Let q(l) = -7620*l**2 - 356*l. Let z(k) = 3*q(k) + 32*y(k). What is the second derivative of z(a) wrt a?
-1368
What is the third derivative of -1321 - 309*y**6 + 2649 + y**4 - 309*y**2 - 1328 wrt y?
-37080*y**3 + 24*y
What is the third derivative of 64*i**5 + 87*i + 11*i**2 - 72*i - 2*i**4 + 2*i**2 wrt i?
3840*i**2 - 48*i
Differentiate -65 + 4*j**4 - 17*j**4 + 42 - 4*j**3 with respect to j.
-52*j**3 - 12*j**2
What is the second derivative of -80 + 41*k + 10*k**2 + 310*k**2 + 80 wrt k?
640
Let o(u) = 25*u**2 - 14. Let d(f) = 51*f**2 - 27. Let x = -6 + -7. Let h(t) = x*o(t) + 6*d(t). What is the first derivative of h(y) wrt y?
-38*y
Let p(l) = l - 8. Let u be 4/(-2)*(2 + -9). Let t be p(u). What is the second derivative of t*h**3 - 3*h**3 - 5*h + h**3 wrt h?
24*h
Let g = 15 - 6. Suppose -4*d + 11 = -g. What is the third derivative of -8*n**d - 6*n**2 + 0*n**5 + 8*n**5 + n**6 wrt n?
120*n**3
What is the second derivative of 214*p + 86*p**2 + 250* | {
"pile_set_name": "DM Mathematics"
} |
)/16*(90*1)/(-1). Let l = y + -11. Which is the second biggest value? (a) -8/3 (b) 4 (c) l
c
Let s(j) = j**3 - 4*j**2 - 6*j + 1. Let n be (-1)/((-4)/(-12)) + 8. Let m be s(n). Let w be m/6*9/12. Which is the smallest value? (a) 1/8 (b) w (c) 0.3
b
Let s = -264.1 - -263. Which is the third biggest value? (a) -2/5 (b) s (c) -2
c
Let w = -116 + 94. Which is the second biggest value? (a) w (b) 1 (c) -5
c
Let j = -197 + 55. Let d = 144 + j. Which is the second smallest value? (a) 8/5 (b) d (c) 0.4
a
Let t = -8.63 + 8.4. Let y = -0.73 - t. Which is the second smallest value? (a) -4 (b) y (c) 13
b
Let q be 7/(357/(-159)) - -3. Which is the second biggest value? (a) -2 (b) -4 (c) 0.4 (d) q
d
Let v = -0.6 + 1.1. Let m = 35 - 42.2. Let z = 3.2 + m. What is the third smallest value in z, v, 2?
2
Let i = 19 + -18.3. Let g = i + -0.76. Let y = -0.3 - 0. Which is the second biggest value? (a) g (b) 1/3 (c) y
a
Let g(o) = o**3 - 10*o**2 - 10*o + 6. Let n be g(11). Let f = n + -13. Which is the third smallest value? (a) -2/3 (b) f (c) 2/15
b
Let f = 11 - 14. Let p = -26 - -24. What is the third smallest value in f, 2, p?
2
Let q = -90 + 86. Let z = 5 + q. Let n = -2 - -1. Which is the third smallest value? (a) z (b) n (c) 0.07
a
Let k be 7 + 1 + (-4 - -1). Let u = 7971 - 47827/6. Which is the third smallest value? (a) 1/4 (b) -3/8 (c) k (d) u
a
Let z = -15 + 12. Let u = 0.14 - -0.06. Which is the biggest value? (a) 0 (b) z (c) -4 (d) u
d
Let x = 0.26 + 4.74. Let c = -1.9 - -0.7. Let n = -0.8 + c. What is the second smallest value in n, x, 0.2?
0.2
Let j = -25 + 7. Let a = j + 18. What is the third biggest value in a, -2/13, -5/3?
-5/3
Let s = -135.25 - -135. What is the smallest value in 0.1, 0, s, -3?
-3
Let o = -53.1 + 48.1. What is the smallest value in o, -6, 1/10, 5/2?
-6
Let z = 596 + -13712/23. Let l = z + 66/115. Which is the second biggest value? (a) -0.3 (b) l (c) 3/7
b
Let q(a) be the second derivative of -a**3/6 + 7*a**2 + 2*a. Let f be q(11). Suppose -f*s + 0 = 6. What is the second biggest value in -1, s, 0?
-1
Let c = 4 + -3.7. Let u = 0.85 + -0.35. Let j = 247/2 + -121. What is the biggest value in c, u, j?
j
Suppose 5*b = -21 + 91. Let j = 8 - b. Let w be (-45)/10 - (-3)/j. What is the third biggest value in 2, -1/2, w?
w
Let r(k) = -k**2 - 3*k - 1. Let t be r(-2). Let j = -0.5472 - 0.0468. Let o = -0.094 - j. Which is the third smallest value? (a) t (b) -2 (c) o
a
Let v = 0.03 + -6.03. Let m = -28 - -33.8. Let u = m + v. Which is the biggest value? (a) -4 (b) 3 (c) u
b
Let d = 753 - 756. Let m = -54 - -51.95. Let p = -0.05 - m. What is the smallest value in p, d, 5?
d
Let l = -380.04 - -380. What is the third smallest value in 0.1, l, -0.4?
0.1
Let i = -130 - -134. Let j = -0.2 - 0.1. Let x = -2.7 + 3. Which is the biggest value? (a) i (b) j (c) x
a
Let n = -12.3 + 12.6. What is the second biggest value in n, 2, 5/6?
5/6
Let p = 321 + -4. Let d = 6655/21 - p. What is the third smallest value in d, 4, -3?
4
Suppose 2*h - h - 4*x - 13 = 0, 2*h + 2*x + 24 = 0. Let t = h - -10. Let o = 27 + -27. Which is the biggest value? (a) o (b) t (c) 0.1
b
Let t = 61 + -88. Let w = t - -29. What is the third biggest value in w, -2, 0?
-2
Let h = -309.1 + 309. What is the fourth smallest value in 0.4, h, 0.23, -5?
0.4
Let y = -6/161 - -29/161. Which is the third biggest value? (a) y (b) -2/3 (c) 0
b
Let h = -3.64 + 2.64. What is the third biggest value in h, 5, 3?
h
Let f be -8*3/(-21) + -1. Let i = 0 - 0.1. Let m = 0.5 + -0.8. Which is the third biggest value? (a) m (b) i (c) f
a
Let f = -53 + 1005/19. Let q = -64.7 - -65. Which is the second biggest value? (a) 1 (b) q (c) f
b
Let j(d) = -d**2 + 27*d + 33. Let w be j(28). Suppose -6*k + 44 = w*k. Let x = 9 - 4. What is the second smallest value in x, -5, k?
k
Let w be 4/18 - (-5)/(-63). Let f = -1269.4 - -1270. Which is the second smallest value? (a) f (b) w (c) -1/4
b
Let x = 1463.037 + -1463. What is the third smallest value in 0.3, x, 2?
2
Let v = -33 - -31. Which is the smallest value? (a) -42 (b) v (c) 0
a
Let i = -0.06 - -0.36. Let v = 64.14 - 66.14. Which is the third biggest value? (a) 1 (b) 2 (c) v (d) i
d
Let b = -4 - -4. Let q = b - -0.1. Let a = -4 + 0. What is the biggest value in -2, q, a?
q
Let q = -13 + -54. Let p = -66.6 - q. Let v = -16 + 5. What is the third smallest value in p, -0.2, v?
p
Suppose 0 = -3*b + 2*b - 5, -5*c = 4*b + 5. Let g = -92 + 103. Suppose c*p - g - 1 = 0. What is the smallest value in p, 0.1, 3?
0.1
Let s = 138.9 - 133. Let q = 5.6 - s. What is the third smallest value in 2/11, q, 0.3?
0.3
Let t = 0.213 - 3.213. What is the second biggest value in t, 4, 1, -0.4?
1
Let m = -39/20 + 1263/340. Let z = m + -189/136. What is the biggest value in -0.2, z, 0.4?
0.4
Let f = -2.8 - 8.5. Let i = 7 - 18. Let x = f - i. What is the smallest value in -2/11, x, -2/15?
x
Let o = 16 + -19.5. Let t = -0.4 - o. Let h = t - -1.9. Which is the biggest value? (a) 3 (b) -0.3 (c) h
c
Let w = -4 + 5. Let g = 1.4 - w. Let i = -15/7 + 53/28. Which is the second smallest value? (a) g (b) -1 (c) i
c
Suppose -4*q + 12 = 12. Suppose -2*a = 0, 0 = -p - q*p + 3*a + 3. Let z be 4*(3 + (-57)/20). What is the biggest value in z, p, -1/3?
p
Let o = -12 + 12.4. What is the second smallest value in 0.3, o, -0.3?
0.3
Let r = -9/20 - -1/20. Let f = -0.23 - -0.2. Let u = -0.17 + f. Which is the third smallest value? (a) r (b) u (c) -6/7
b
Let t = 15.46 + -24.63. Let x = t + 9.5. What is the second biggest value in -0.3, x, -0.1, -2?
-0.1
Let u = 1.031 - 0.031. What is the biggest value in u, 8, -1?
8
Let s = 2.5 - 3.5. Let f = 26 + -26. What is the smallest value in s, f, 4?
s
Let a be -8 + -1 - (5 - 7). What is the second smallest value in -0.2, a, 3?
-0.2
Let r = -0.4 - 1.6. Let l(n) = -3*n - 102. Let m be l(-33). What is the biggest value in 1, r, m?
1
Let p(d) = -2*d**3 + 75*d**2 + 40*d - 69. Let y be p(38). Let j = 23 - 21. Let n = 1 + -1.1. Which is the second smallest value? (a) j (b) y (c) n
a
Let t = -1119 - -1070. What is the second smallest value in 2, -1, -0.4, t?
-1
Let i = 293873/18 - 16333. Let z = -56/9 - i. What is the fourth smallest value in -3, -5, z, -2/7?
z
Suppose 2*f + 2 = 13*y - 15*y, -12 = 5*f - 2*y. Which is the second smallest value? (a) 0.17 (b) -1/5 (c) f
b
Suppose -127 - 69 = -4*j. Let y be 1/((42/j)/((-3)/(-14))). Let c be 1*(6 + -2)/2. What is the third biggest value in c, y, -1?
-1
Let y = 3.7 - 4.18. Let q = y + 0.88. Let m = -4.05 + 0.05. Which is the biggest value? (a) -1/7 (b) m (c) q
c
Let p = -0.032 - -3.132. Let n = p + -6.5. Let x = n - -7.4. What is the second biggest value in 0, x, -9/7?
0
Let s = 317 - 317.12. What is the third biggest value in 1/2, 0.21, s?
s
Let s = -0.9 + 0.7. Suppose -5*p = 3*u + 13, -4*u = -u + 2*p + 7. Let z be -2 + 5/6*3. Which is the third biggest value? (a) s (b) u (c) z
b
Let z = 2.56 - 2.2. Let w = z + -1.36. What is the second biggest value in w, 3, 5?
3
Let o = 732 - 736. Which is the biggest value? (a) -1/3 (b) 0 (c) -6 (d) o
b
Let a = -38 + 34. Let g = -1 + a. What is the third biggest value in 0.15, 0.3, g?
g
Let n = -47.2 + 52.2. Which is the second biggest value? (a) n (b) 1/2 (c) -0.4
b
Let x = -0.395 + 0.795. Which is the smallest value? (a) x (b) -0.2 (c) 2/19
b
Suppose 4 = -x - s, 6 = -4*s - 14. Which is the smallest value? (a) -2 (b) x (c) 1.1
a
Let c be (-12)/(-16)*4/1. Suppose 8*h = c*h + 20. Let d = 7.5 - 7. What is the biggest value in d, h, -10?
h
Let q be (-17)/(-136) - (-29)/(-40). What is the biggest value in -1, q, 1/2?
1/2
Let g = 0.04 + -11.04. Let u = g + -1. Let t = u + 11.6. Which is the second smallest value? (a) 2/7 (b) 1/6 (c) t
b
Let b be 3 - (-7)/(10 + -3). What is the third biggest value in -2/11, b, 16?
-2/11
Let o be (-66)/(-15)*-5 - -17. Let z = 4 - 0. Let f be (2/3)/(z/(-6)). Which is the smallest value? (a) f (b) o (c) -10
c
Let g = -0.1188 + -2.8812. Which is the third biggest value? (a) -12 (b) 4 (c) g
a
Let d = 83/126 + 1/126. Suppose -4*j = -7*q + 4*q - 115, 109 = 4*j + 3*q. Let z be 6/(-8) + 25/j. Which is the third smallest value? (a) d (b) z (c) 1/4
a
Suppose 31*k = 13*k | {
"pile_set_name": "DM Mathematics"
} |
r*i for i.
-1
Let g be (-4)/(-34) - (-3864)/391. Suppose 2*h - 5*u = 44, 0 = 5*u + g - 0. Solve -4*o = -4*f - 4, -5*f + 4*o = 2*o + h for f.
-5
Let q be (62/(-6))/((-4)/24). Let w = -60 + q. Solve 3*s - 9 = w*y + y, 5*y - s = 1 for y.
1
Suppose c = -28*c - 27*c. Suppose 4*n - 19 = n - 4*t, -3*t = -3. Suppose 11 = 4*d + 3*i, -d + i - 1 = 3*i. Solve 0*j - n*j + 4*y - d = 0, 2*y = c for j.
-1
Let x = 19 - 8. Let c = 25 - x. Suppose 4*n - 4*i - 24 = 0, 4 = -3*n - i + 6. Solve -j = 3*g - 6*j - c, 2*g - n*j = 4 for g.
-2
Suppose 2*i - 70 + 50 = 0. Solve 2*x + i = 0, 2*x = 2*d + x - 9 for d.
2
Let k be (-6)/36*2 + 80/15. Solve -5*f - k = -2*f - 5*u, 0 = 3*f - 3*u + 3 for f.
0
Suppose -5*a + 26 = -9. Suppose 0 = 3*s + 5 + 7. Let i = s + a. Solve -u + 0*n + 5 = -n, 5*u - 21 = i*n for u.
3
Let h be (1 + -1)*(1 + 0). Solve -5 = 3*k + 3*i - 4*i, h = 5*k - 2*i + 10 for k.
0
Let f be ((-36)/33)/(6/(-33)). Solve 0 = -2*k + 2*r + f, -15 = -5*k - r + 3*r for k.
3
Let q(t) be the second derivative of 4*t + 1/6*t**3 + 0 - 6*t**2. Let x be q(15). Solve -2 = y - c, -5*y = 3*c - x - 3 for y.
0
Let z = -135 - -140. Solve 4*v + p + 8 = 0, z*v + 8 = 9*v + 5*p for v.
-3
Suppose -4*h + t + 151 = 0, -4*h + 36 = -3*h - 2*t. Suppose 5*l + 3 - h = 0. Suppose -6*m = -l*m + 7. Solve 3*d - 15 = 3*z, -5*z - m = 4*d - 0 for z.
-3
Let d(i) = i**2 + 12*i + 52. Let j be d(-8). Suppose -2*n + j = -0*n. Solve -6 = -0*q - 3*q, 4*v - n = 3*q for v.
4
Suppose -21*j = -23*j - 34. Let m = j - -21. Solve -m = 4*d + y, -3*y = 2*y + 20 for d.
0
Suppose 0 = -5*r - 5, -4*r = -0*y + 3*y - 11. Solve -5*d - 7 = i - 30, d = y*i - 11 for d.
4
Suppose 0 = -4*m + 12, -i + m = -3*i + 11. Solve -i*q - p = -8 - 6, 0 = -q - 5*p + 13 for q.
3
Let r = 616 - 613. Solve r*n = 4*m + m + 10, 0 = 4*n + 5*m - 25 for n.
5
Let g be (-4)/(-10) + 10/(-25). Solve 0*q - q - 2*s + 10 = g, 4*s - 16 = 0 for q.
2
Let w(v) = v - 5. Let r be w(6). Suppose 30*z + 15 - 75 = 0. Solve -z*x + x = 3*y + r, y = -4*x - 15 for y.
1
Let x = 15 + -14. Suppose 49 = 5*b - x. Suppose 3*k - b = 2. Solve k*c + 7 = -5, 6 = 4*a - 2*c for a.
0
Let h(q) = -q**3 - 5*q**2 + 4*q + 3. Let n be h(-6). Suppose 2*t + t - 3*v + 6 = 0, -3*v = -n. Solve -a = -2*d + t, -4*d + 10 = -0*d + 2*a for d.
2
Suppose 30 = 8*h - 2. Suppose 3 = a - 2*j, a - 1 = 4*j + h. Solve v = r - a - 2, -v = 2*r - 12 for v.
2
Suppose 5*r - 48 = -r. Let j be (-3*2/2)/1 + r. Solve -4*l = 3*c + 2 - 28, 0 = -4*l - j*c + 30 for l.
5
Let i = -825 - -828. Solve 0 = 3*p - 2*t - 22 + 8, i*t - 9 = -3*p for p.
4
Suppose 21 = b - 31. Suppose 3*x = -4*t + b, -2*x - 3*t + 34 = -t. Suppose s - 5*s = -80. Solve -2*f = -3*g - s, -4*f - 5*g - x = -3*f for f.
4
Let v(x) be the second derivative of -x**4/6 - 2*x**3 + 17*x**2/2 - 27*x. Let k be v(-7). Solve 2*s = 2*i, 31 = k*s + 5*i - 1 for s.
4
Let a be (-124)/16 + (-1)/4. Let c = 8 + a. Solve c = -5*l - 0*o + 5*o + 5, -3*o - 3 = -l for l.
0
Suppose 38*y = 584 - 90. Solve -5*k + 4*h + 29 = 0, 9*k - y*k = -3*h - 23 for k.
5
Let p(v) = -v**3 + 4. Let z be p(0). Let g(r) = -4*r + 25. Let c be g(6). Let h = 1 - c. Solve -f + z*o = -19, f - 14 = 3*o - h*o for f.
-1
Let t be 32/208 - (-3)/(78/152). Suppose 9*d - 42 + t = 0. Solve -4*x + 6 = s + s, 0 = d*s - 12 for x.
0
Let u be -5 + (7 - 2) + 5. Let g = -3 + 14. Let f = g - 7. Solve -h + 1 = 2*b - 4, -u*h = -f*b - 11 for b.
1
Suppose -4*f - 151 = -167. Let g = 2 - -3. Suppose 5*r - 64 = 2*p - 0*p, r - 20 = 4*p. Solve f*n - 2*i = -r, 6*i - g*i + 4 = -3*n for n.
-2
Suppose 3*h - 5*h - 14 = 0. Let z be -1*(h - -5 - -2). Solve -2*w = 5*m - w - 21, 4*m + 2*w - 18 = z for m.
4
Let k be 195/(-91) + (-1)/(-7). Let b(v) = v**2 + v + 1. Let l be b(k). Solve 0 = -4*h + l*p - 29, 4*p = 2*h - p + 25 for h.
-5
Suppose 6*z = -d + 7*z + 6, 4*d = -z + 4. Let p(i) = 2*i**2 - 6*i + 9. Let w be p(d). Solve -10 = -w*x, m = -3*m + 4*x - 12 for m.
-1
Suppose 0 = 8*o + 3*o - 319. Let y = o + -24. Solve -22 = -3*l + 5*l + y*d, 4*d + 17 = -l for l.
-1
Let c be (12/14)/(480/2240). Let b(h) = -h + 5. Let f be (-8)/36 + 38/9. Let r be b(f). Solve i - 3 + r = -p, 2*i = -c*p for p.
-2
Let g(d) = d**3 - 23*d**2 - 107*d - 24. Let q be g(27). Solve 5*y + 5 - 36 = 3*s, 4*s + q = -y for y.
5
Suppose -50 = f + 4*p + 18, -3*f - 139 = -p. Let h be f/(-32)*(1 - 5/(-3)). Solve -y + h*y - 2*w + 8 = 0, 0 = -5*y - 3*w - 7 for y.
-2
Let q be 64/36 + (32/(-36))/(-4). Solve 9 = 2*m + 3*c + q*c, -3*m = 3*c for m.
-3
Let u be (-1)/((-1)/(-1)) + 3. Suppose 0 = u*l - 1 - 3. Suppose -2*c + 10 = -k, l*c - 6*c - 5*k - 8 = 0. Solve 0 = -x - 3*o + 12, 1 - 30 = c*x - 4*o for x.
-3
Suppose -2*t = -6*t + 32. Suppose -9*m = -t*m + 16. Let b = 18 + m. Solve 3*k = -5*d - 14 - 0, -14 = b*d + 4*k for d.
-1
Let y(s) = 4*s - 7. Let z be y(5). Let p = z - 0. Let a = -17 + 34. Solve 3*x = t + a, -3 = -5*t - p for x.
5
Suppose 49 + 11 = -6*t. Let y(g) = 2 + 3*g**3 + 2*g**3 - 4*g**3 + 9*g**2 - 11*g. Let b be y(t). Solve -3*a + 15 = x, 4*a - b = x + 8 for a.
5
Suppose -4*t = 5*f - 847, -5*f + 7*t = 3*t - 863. Let c = f + -166. Solve 9 = -3*s + 2*s + 5*o, c*o - 17 = 3*s for s.
-4
Suppose 2*x + m = 1 + 69, 3*m - 176 = -5*x. Let j be (2 - (3 - 4)) + 59. Let a = j - x. Solve -3*s + 14 = z, -3*z + a = 2*z + s for z.
5
Suppose -5*c = -0 - 20. Let y be (-5)/20 - (-25)/c. Solve -4*h + y*h = -5*i - 15, -5*i = -3*h + 40 for h.
5
Let z(a) = 5*a**2 + 1. Let t be z(1). Suppose u = -2*u - t, -u - 14 = -3*r. Solve 17 = -r*p - 2*n - 7, -2*n = p + 12 for p.
-4
Let g be (0*(-1)/6)/1. Solve g*z + 5*z = -k + 9, 2*k + 3*z = 11 for k.
4
Let x(v) = -11*v**3 + 2*v + 1. Let s be x(-1). Solve -c + 13 + 17 = 5*j, -5*j + s = -3*c for c.
5
Suppose 0 = -5*z + 3*q, 0*q - q - 1 = -2*z. Suppose 2*a = -29*a - 6*a. Solve a = 5*p + 3*b + 19, 0 = -z*p - b + 4*b - 21 for p.
-5
Let l(t) = t**2 + 18*t + 57. Let q be l(-15). Solve a + q = -3*x - 2, 22 = -5*x - 3*a for x.
-5
Let p be 0 + (14 + -6 - -22). Solve 3*a + 11 = -r, -a = -5*r + a + p for r.
4
Suppose 52 = 34*j - 8*j. Solve j*n + 10 = 5*o, 1 = -n + 3*o - 6 for n.
5
Let o = -133 - -137. Solve 0 = -o*l + 2*y - 14, -3*l + 17 = -7*l + y for l.
-5
Suppose 2391 - 2373 = 9*k. Solve -y = -n - 1, k*n + 0*y + 14 = -y for n.
-5
Let r be (-12*16/(-24))/1. Solve x - 1 = 2*x + 4*w, -r = -3*x - w for x.
3
Suppose 52*x - 54*x = -6. Solve -8 = 5*a - 5*k + 2*k, 3*a = -x*k - 24 for a.
-4
Let g(p) = -p + 7. Let m(d) = d**3 - 14*d**2 + 2*d - 33. Let y be m(14). Let l be g(y). Solve 2*z + 4*a = -0*a + 12, -5*z = 4*a - l for z.
0
Let r be -7 + 412/60 + 17/15. Solve 2*n = -x + r - 2, -x = 3*n for n.
1
Suppose -32*y - 1 = -1. Let j be (-6 + 5)/(1/(-5)). Let g(n) = 3*n - 2. Let v be g(j). Solve 5*m + 4*i - v + y = 0, -4*m - 4 = -4*i for m.
1
Suppose 8 = 2*a + 2. Let q be (0/(1 + a))/2. Suppose q = -v + 1. Solve -3*l - 3*x = 2*l - v, 0 = -3*l + 3*x + 15 for l.
2
Let s be (-284)/(-4) - (2 - 0). Let u = -51 + s. Solve 0 = -m + v + 6, m + 3*v = 7*v + u for m.
2
Let m(y) = 2*y - 33. Let x be m(18). Let k(h) = h + 9. Let r be k(-6). Solve 3*q + x*d - r = 0, 2*d + d + 3 = 0 for q.
2
Let n = 22 + -16. Let p be 1/(-2)*-45*-2. Let y be 9/p + 2/10. Solve 2*z + 6 = -2*w, 2*w = -y*w + 4*z + n for w.
-1
Let s(p) = p**3 - 16*p**2 - p + 16. Let t be s(16). Let n(x) = -9*x + 2*x**2 - 8 - 9 - x**2 + 1. Let j be n(11). Solve 2*g - j = 0, 3*g = -b - t + 9 for b.
0
Let u(k) = -k**3 - 2*k**2 - 4*k - 4. Let z be u(-2). Let b = -13 + 21. Suppose 4*q - b = z. Solve 0*n - 22 = -4*f - n, 0 = q*f + 5*n - 25 for f.
5
Let h = 126 + -114. Solve -3*j = -b + h, -3*j + 13 = -b - 5*j for b.
-3
Suppose -2*f - t = -6*t - 23, -f = t - 1. Solve -s + 4*x - 25 = 0, 5*s = -f*x + 3 - 8 for s.
-5
Let b(u) = -5*u + 3. Let z(i) = 6*i - 3. Let h(q) = 5*b(q) + 4*z(q). Let o be h(1). Solve 4*y + 12 = -2*t, o*t - t = -y - 4 for t.
-2
Suppose 0 = -2*y + 7 - 1. Let c be (-2 + 1)*-34 - y. Let l = -11 + c. Solve 2*v - l = 7*v + z, 15 = -4*v - z for v.
-5
Suppose -5*z - u + 6 = 0, -4*z + 4*u + 20 = u. Solve -z*g = y, -5*y = -y + 3*g + 5 for y.
-2
Let i(g) = -g**3 - 13*g**2 + g - 2. Let k be i(-13). Let o = 20 + k. Solve -7 = -4*u + 2*w + w, 5*u = -o*w for u.
1
Let b(o) = o**3 - 5*o**2 + 4*o - 1. Let w be 64/10 + 6/(-15). Let d be b(w). Suppose -7*j + d - 24 = 0. Solve -2*h - 4*p = h - 1, 33 = -j*h + 2*p for h.
-5
Suppose 0*a = 5*p | {
"pile_set_name": "DM Mathematics"
} |
**3 - 22*k**2 - 208*k + 6. Calculate h(-14).
1350
Let y(z) = 2*z**2 - 26*z - 425. Give y(-9).
-29
Let p(r) = -714*r - 7406. Determine p(-11).
448
Let v(w) = 346098*w + 1038286. Calculate v(-3).
-8
Let r(o) = 1252*o + 12251. What is r(-10)?
-269
Let x(f) = -77*f + 5876. Give x(70).
486
Let a(f) = 2*f**2 + 351*f + 2541. Give a(0).
2541
Let t(y) = -441*y**2 + 2658*y - 17. Determine t(6).
55
Let j(t) = 224011*t + 672019. Determine j(-3).
-14
Let u(m) = 2897*m + 286800. Determine u(-99).
-3
Let i(o) = 113383*o - 2721176. What is i(24)?
16
Let l(t) = -t**3 - 56*t**2 + 910*t - 230. What is l(-69)?
-1127
Let u(p) = -2*p**2 + 39305*p - 78600. Calculate u(2).
2
Let s(n) = -n**3 - 728*n**2 + 4356*n - 35256. Calculate s(-734).
-24
Let g(v) = 7*v**2 + 307*v + 600. Calculate g(-2).
14
Let l(m) = -m**3 + 708*m**2 - 36516*m + 103. Determine l(56).
-121
Let r(o) = o**3 - 35*o**2 + 302*o - 6598. Calculate r(32).
-6
Let t(w) = -w**3 - 476*w**2 + 81052*w + 33504. Determine t(-609).
9
Let q(b) = 10257*b - 112813. Determine q(11).
14
Let i(c) = 128106*c - 39712853. Give i(310).
7
Let b(j) = 132*j**2 + 70084*j - 4255. Give b(-531).
-7
Let b(y) = -y**2 - 329086*y + 2303589. What is b(7)?
-62
Let v(i) = 2*i**2 - 204*i + 2686. Determine v(87).
76
Let l(j) = j**3 + 147*j**2 + 252*j - 485. Determine l(-145).
5025
Let o(h) = -5*h**3 - 41*h**2 - 22*h + 264. Give o(-8).
376
Let g(x) = -521846*x + 31832602. What is g(61)?
-4
Let m(q) = -288*q**2 - 60*q + 62. Calculate m(1).
-286
Let f(r) = r**2 - 260*r - 80433. Determine f(442).
11
Let h(x) = -2*x**3 - 52*x**2 + 248*x - 48. What is h(-29)?
-2194
Let m(x) = 3017*x + 21096. What is m(-7)?
-23
Let t(y) = -136522*y + 5051315. Calculate t(37).
1
Let n(h) = -25*h - 1750. Give n(-80).
250
Let k(a) = -316*a + 77547. Calculate k(248).
-821
Let g(s) = 5*s**2 - 121*s - 3689. Calculate g(-19).
415
Let w(i) = -22*i + 9007. What is w(181)?
5025
Let s(k) = 970*k + 14839. Calculate s(-14).
1259
Let k(u) = -2*u**3 - 14*u**2 - 226*u - 614. Determine k(-4).
194
Let p(m) = 61*m**2 + 6708*m - 20914. Give p(-113).
-9
Let r(l) = 753*l**2 + 4417*l - 604. Determine r(-6).
2
Let z(w) = -w**2 + 17366*w - 86808. Determine z(5).
-3
Let z(c) = -3*c**3 - 139*c**2 - 51*c - 292. Determine z(-46).
-62
Let k(r) = -1833*r + 5518. Calculate k(3).
19
Let p(x) = 2*x**3 + 86*x - 796. Give p(8).
916
Let j(h) = -2*h**3 - 86*h**2 + 88*h - 374. What is j(-44)?
-374
Let f(x) = -111*x**2 - 3785*x - 368. Determine f(-34).
6
Let j(b) = 4*b**3 + 291*b**2 - 87*b + 237. What is j(-73)?
1259
Let u(d) = -3*d**2 - 21307*d + 749410. Give u(35).
-10
Let x(o) = -o**2 + 207*o - 7769. Calculate x(55).
591
Let j(v) = 242*v - 11632. Calculate j(48).
-16
Let v(d) = -141*d - 21563. Calculate v(-153).
10
Let y(s) = 2*s**2 + 137*s - 5909. What is y(30)?
1
Let m(p) = 2*p**2 + 414*p + 8744. Give m(-183).
-40
Let c(v) = v**3 - 3*v**2 - 206*v + 837. Determine c(4).
29
Let q(x) = -1024*x + 5219. Calculate q(5).
99
Let m(a) = 6219*a + 136999. Determine m(-22).
181
Let l(j) = -2621610*j + 34080934. Calculate l(13).
4
Let r(i) = 30555*i - 30563. Give r(1).
-8
Let u(a) = -4*a**3 - 92*a**2 + 38*a - 1766. Calculate u(-24).
-374
Let y(m) = -3*m**2 + 1. What is y(3)?
-26
Let h(z) = z**2 - 295*z + 21339. Determine h(129).
-75
Let r(o) = 213*o**3 + 13*o**2 - 28*o + 5. Give r(2).
1705
Let d(x) = 163*x**2 - 376*x - 346. Calculate d(3).
-7
Let z(g) = -15*g**2 - 267*g + 1052. Give z(4).
-256
Let d(h) = -h**2 - 4261*h + 369427. Calculate d(85).
17
Let f(l) = l**3 - 7*l**2 - 620*l - 5771. Calculate f(32).
-11
Let h(b) = b**2 - 76*b - 51470. What is h(268)?
-14
Let s(r) = 1208*r - 571357. Calculate s(473).
27
Let y(p) = 1000*p + 141005. Determine y(-141).
5
Let n(j) = j**3 - 14*j**2 - 601*j - 12. Determine n(31).
-2306
Let b(s) = 892*s - 20366. Give b(23).
150
Let j(z) = -25206*z + 4108611. What is j(163)?
33
Let s(f) = -119*f - 28429. What is s(-241)?
250
Let s(h) = -h**3 - 145*h**2 + 1419*h + 47. What is s(10)?
-1263
Let c(g) = g**3 + 134*g**2 - 1273*g + 2010. Determine c(-143).
8
Let d(p) = 105615*p + 422498. Determine d(-4).
38
Let h(j) = 90*j**3 - 415*j**2 + 90*j - 352. Give h(4).
-872
Let h(t) = t**2 - 38305*t + 1874544. Calculate h(49).
0
Let f(l) = -22*l - 6250. Determine f(-272).
-266
Let z(m) = -4994*m + 1008801. Calculate z(202).
13
Let w(t) = -180*t**2 - 3419*t + 150. Determine w(-19).
131
Let a(p) = p**2 - 2497*p + 1179889. Calculate a(633).
-23
Let u(t) = -t**2 - 4625*t - 128698. What is u(-28)?
18
Let s(u) = -11*u**3 + 1104*u**2 - 3572*u - 1636. Calculate s(97).
13
Let m(d) = -d**3 - 443*d**2 + 1376*d + 16992. Calculate m(-446).
44
Let g(h) = -149973*h + 899846. Calculate g(6).
8
Let s(f) = -55*f**2 + 65*f - 215. What is s(3)?
-515
Let i(q) = 2*q**2 - 350*q - 10206. Calculate i(200).
-206
Let j(f) = -2*f**2 + 1456*f + 31183. Give j(-21).
-275
Let t(f) = 7*f**3 + f**2 + 30*f + 311. What is t(0)?
311
Let u(d) = 177924*d + 533779. What is u(-3)?
7
Let q(b) = 138*b**2 + 26077*b - 939. What is q(-189)?
6
Let z(f) = -f**2 - 63*f - 525. Determine z(-44).
311
Let a(o) = o**2 - 33*o - 5979. Determine a(-60).
-399
Let j(s) = 3*s**3 + 705*s**2 - 1422*s - 3. Give j(-237).
-3
Let r(k) = k**3 - 13*k**2 - 69*k + 591. Give r(5).
46
Let b(v) = -2*v**3 + 31*v**2 - 456*v + 6624. What is b(15)?
9
Let p(b) = b**2 + 746*b - 28969. What is p(37)?
2
Let m(y) = -1076*y**2 + 113*y - 111. Calculate m(1).
-1074
Let q(j) = 8*j**2 - 404*j - 7579. Determine q(-17).
1601
Let f(z) = -2*z**3 - 24*z**2 + 162*z + 730. What is f(-15)?
-350
Let n(i) = 2*i**3 + 21*i**2 - 366*i - 83. Calculate n(-20).
-363
Let d(x) = -20*x**2 + 5523*x - 313. What is d(276)?
515
Let q(k) = -40216*k + 4182468. Calculate q(104).
4
Let x(u) = u**3 - 70*u**2 + 487*u - 51549. Determine x(73).
-11
Let n(v) = 1509*v + 34723. Determine n(-23).
16
Let s(v) = 711*v + 1112. What is s(-1)?
401
Let x(m) = -25803*m + 77401. Determine x(3).
-8
Let d(h) = -16*h**3 + 23*h**2 + 61*h + 9. What is d(-4)?
1157
Let u(t) = -431356*t + 4744913. Calculate u(11).
-3
Let i(k) = -17*k**2 - 7595*k - 801646. Determine i(-171).
2
Let f(b) = -b**2 - 112*b - 3106. Calculate f(-47).
-51
Let y(x) = 194*x + 999. Calculate y(-9).
-747
Let t(r) = -911*r**3 - 2*r**2 + 5*r - 5. Determine t(1).
-913
Let r(z) = -4*z**2 + 76*z - 149. Determine r(6).
163
Let b(s) = 13*s**2 - 1217*s + 4071. What is b(90)?
-159
Let l(t) = 17820*t + 89069. Determine l(-5).
-31
Let j(n) = -19*n**3 - 130*n**2 - 1020*n - 7256. What is j(-7)?
31
Let y(n) = n**3 + 69*n**2 + 1104*n - 367. Give y(-26).
-3
Let z(r) = -25*r**2 + 331*r - 1865. Give z(6).
-779
Let y(h) = h**3 + 45*h**2 + 2902*h + 130583. Determine y(-45).
-7
Let x(g) = -3421*g + 803945. Calculate x(235).
10
Let w(v) = v**2 - 132*v + 1596. Determine w(13).
49
Let r(t) = 67320*t + 875162. What is r(-13)?
2
Let o(n) = 5*n**2 + 1173*n + 53283. What is o(-173)?
-1
Let b(h) = 64*h**2 - 740*h + 23. Determine b(5).
-2077
Let t(v) = 17308*v + 34617. What is t(-2)?
1
Let o(x) = 2*x**2 + 542*x - 27759. What is o(-315)?
-39
Let m(p) = 7*p**2 + 765*p - 3872. What is m(5)?
128
Let q(k) = -411*k - 73547. Give q(-179).
22
Let a(v) = -v**3 + 116*v**2 - 380*v - 7635. Determine a(112).
-19
Let q(r) = -4040*r + 1972. Determine q(0).
1972
Let j(q) = -6*q**2 - 640*q - 10214. Determine j(-87).
52
Let a(p) = 4650*p - 515871. What is a(111)?
279
Let n(o) = 39631*o - 317027. Determine n(8).
21
Let u(s) = -3*s**3 + 20*s**2 - 19*s + 113. Determine u(6).
71
Let g(t) = 17*t**3 - 416*t + 1328. Give g(3).
539
Let u(y) = y**2 + 6522*y - 189996. Determine u(29).
-17
Let q(s) = -s**3 + 153*s**2 + 1612*s - 194. Determine q(-10).
-14
Let t(b) = -227*b + 12940. Give t(59).
-453
Let p(z) = -30*z**3 + 319*z**2 + 109*z + 148. What is p(11)?
16
Let z(j) = j**3 - 62*j**2 - 2651*j + 166850. Calculate z(59).
-2
Let j(v) = -2*v**3 - 29*v**2 + 67*v + 745. Determine j(-15).
-35
Let f(g) = -60*g - 501. Determine f(-24).
939
Let g(d) = 21*d**3 - 4*d**2 - 111*d - 106. What is g(-1)?
-20
Let i(c) = -35*c + 38. Determine i(10).
-312
Let l(v) = -5*v**2 + 1527*v + 15736. Determine l(-10).
-34
Let w(a) = 2415*a + 6961. Calculate w(-3).
-284
Let z(w) = 8*w + 532. Give z(-99).
-260
Let u(x) = 2190*x**2 + 479*x - 480. Give u(1).
2189
Let y(i) = i**2 - 157*i + 5183. What is y(51)?
-223
Let r(t) = -24*t**2 + 247*t | {
"pile_set_name": "DM Mathematics"
} |
16/305
What is 865 divided by 5?
173
-588 divided by -196
3
What is -3342 divided by 1?
-3342
Divide -25 by -3.
25/3
Divide 342 by 171.
2
What is -9282 divided by -1547?
6
Calculate -4 divided by 561.
-4/561
What is -18 divided by -5?
18/5
What is -515 divided by 5?
-103
What is -4500 divided by 900?
-5
Divide 54 by -15.
-18/5
Divide -330 by -17.
330/17
24 divided by -82
-12/41
-17640 divided by -140
126
Calculate -291 divided by 3.
-97
Calculate -6240 divided by -8.
780
What is -2 divided by -248?
1/124
12 divided by -41
-12/41
What is -408 divided by 12?
-34
9 divided by -126
-1/14
-1806 divided by -6
301
-2 divided by -246
1/123
Calculate -540 divided by 5.
-108
-702 divided by 2
-351
5 divided by -409
-5/409
Divide -14132 by -3533.
4
Calculate 14390 divided by -5.
-2878
318 divided by -1
-318
-1123 divided by -1
1123
What is 346 divided by 346?
1
What is -1243 divided by 1243?
-1
What is 29 divided by -1?
-29
Divide -1 by 80.
-1/80
Calculate 171 divided by -2.
-171/2
Divide -447 by -149.
3
Divide -5 by 63.
-5/63
What is 19 divided by -9?
-19/9
Divide -3235 by -647.
5
What is -153 divided by 51?
-3
Divide -20 by 35.
-4/7
Divide -9 by 9.
-1
Divide 2136 by -24.
-89
-264 divided by 2
-132
-68 divided by 3
-68/3
Calculate 1152 divided by 72.
16
Calculate -504 divided by 168.
-3
Calculate -4 divided by -7444.
1/1861
-10 divided by -32
5/16
Divide -66 by -8.
33/4
What is -1549 divided by -2?
1549/2
Divide 455 by -91.
-5
Divide 5017 by -2.
-5017/2
What is 2002 divided by -26?
-77
-549 divided by 9
-61
Divide 117 by -1.
-117
-420 divided by 2
-210
Divide -6300 by -420.
15
Divide 0 by -3328.
0
Divide -8 by -568.
1/71
Divide -1 by 14.
-1/14
Calculate -17272 divided by -254.
68
-12710 divided by 31
-410
Divide 540 by -270.
-2
What is 468 divided by 26?
18
Calculate -491 divided by -5.
491/5
Divide 10076 by 5.
10076/5
-5 divided by -35
1/7
What is 0 divided by -7?
0
Divide -11 by 13.
-11/13
Divide 3 by 124.
3/124
Calculate 410 divided by 4.
205/2
Divide -136 by 4.
-34
270 divided by 54
5
What is -12510 divided by -5?
2502
Calculate 4 divided by -591.
-4/591
What is 248 divided by -12?
-62/3
What is 4 divided by -2712?
-1/678
Calculate 113 divided by 1.
113
What is 2 divided by -253?
-2/253
Divide -4038 by -6.
673
Divide -678 by 13.
-678/13
Divide 1256 by 4.
314
What is -13 divided by 4?
-13/4
Divide -5561 by 2.
-5561/2
What is 5155 divided by -5?
-1031
What is 10 divided by -31?
-10/31
-627 divided by 3
-209
What is -3 divided by -48?
1/16
408 divided by -1
-408
Calculate 6620 divided by 5.
1324
What is 14300 divided by -11?
-1300
What is 387 divided by 387?
1
Divide -16464 by -5488.
3
Calculate 910 divided by -7.
-130
Calculate -10632 divided by 2658.
-4
What is 210 divided by -21?
-10
What is -2676 divided by -892?
3
Divide -50 by -15.
10/3
11762 divided by 5
11762/5
What is -4 divided by -424?
1/106
Calculate 394 divided by 4.
197/2
Divide 437 by -3.
-437/3
Divide 1910 by -5.
-382
What is -20298 divided by 6?
-3383
Calculate 5 divided by -208.
-5/208
Divide 1352 by 13.
104
Divide 4329 by 37.
117
Calculate 32 divided by 903.
32/903
What is -5 divided by -35?
1/7
Divide 8 by -5.
-8/5
What is 131 divided by -3?
-131/3
Calculate -228 divided by -6.
38
What is -4 divided by 70?
-2/35
What is -52 divided by 4?
-13
Calculate -34 divided by 6.
-17/3
-3175 divided by 127
-25
Divide -25795 by -6.
25795/6
Calculate -93 divided by -10.
93/10
What is 304 divided by 3?
304/3
Divide -155 by -3.
155/3
Calculate 13 divided by 6.
13/6
Calculate -1989 divided by 117.
-17
7 divided by -93
-7/93
Calculate -3450 divided by 25.
-138
What is -16700 divided by -25?
668
What is 2016 divided by 336?
6
10998 divided by 117
94
Calculate -280 divided by -56.
5
What is -560 divided by -112?
5
What is -2 divided by -38?
1/19
Calculate -235 divided by 47.
-5
Divide 0 by 1241.
0
543 divided by 3
181
Calculate 4 divided by -863.
-4/863
What is 600 divided by -20?
-30
What is 436 divided by 4?
109
What is 594 divided by 6?
99
284 divided by 6
142/3
What is 21 divided by 428?
21/428
-42 divided by -5
42/5
28 divided by -173
-28/173
608 divided by -32
-19
8 divided by -23
-8/23
16 divided by -124
-4/31
Divide -120 by -40.
3
Calculate 7 divided by 56.
1/8
What is 5 divided by 54?
5/54
What is -25 divided by 5?
-5
-7876 divided by -1969
4
What is -188 divided by -5?
188/5
Calculate 0 divided by -292.
0
What is 160 divided by 32?
5
Divide 299 by 58.
299/58
Calculate 1072 divided by 67.
16
Divide 1998 by 333.
6
Calculate -1454 divided by -3.
1454/3
471 divided by -4
-471/4
Divide -141 by -5.
141/5
Calculate -6570 divided by -30.
219
What is 225 divided by -45?
-5
Calculate 188 divided by 47.
4
Calculate -11760 divided by 28.
-420
What is 7 divided by 158?
7/158
1 divided by 794
1/794
-524 divided by -262
2
What is 98 divided by 3?
98/3
Calculate 7221 divided by 29.
249
-18048 divided by -4
4512
Divide 18583 by 1.
18583
Calculate -2 divided by 3.
-2/3
What is -63 divided by -21?
3
What is 21 divided by -24?
-7/8
Divide 2 by -438.
-1/219
What is -12 divided by -2045?
12/2045
What is 2 divided by -2103?
-2/2103
Divide -560 by 5.
-112
-11 divided by -207
11/207
-1292 divided by -19
68
What is -2 divided by -63?
2/63
Calculate 207 divided by 207.
1
Calculate 20251 divided by 2893.
7
What is -35 divided by 53?
-35/53
Calculate -2172 divided by -4.
543
What is 6504 divided by -4?
-1626
Calculate 315 divided by 12.
105/4
Calculate -272 divided by 34.
-8
What is -279 divided by 4?
-279/4
What is -4 divided by -305?
4/305
What is 2205 divided by -3?
-735
-1743 divided by 21
-83
Divide 1290 by 6.
215
Divide 0 by -3356.
0
Divide 13 by -14.
-13/14
Divide -175 by 30.
-35/6
Calculate -805 divided by 1.
-805
Divide -1 by -1831.
1/1831
Calculate 36130 divided by 5.
7226
Divide -48 by -6.
8
Divide 2 by -317.
-2/317
What is -4 divided by 21?
-4/21
Calculate -96 divided by 25.
-96/25
Divide -1 by 3.
-1/3
Calculate -7525 divided by -1505.
5
2745 divided by -3
-915
0 divided by 1170
0
What is -6 divided by 135?
-2/45
740 divided by 185
4
Divide 129 by -3.
-43
What is -2 divided by 3052?
-1/1526
8 divided by 69
8/69
What is 5 divided by 482?
5/482
-3814 divided by 1907
-2
What is -568 divided by 71?
-8
-13 divided by -194
13/194
What is -24 divided by -12?
2
Calculate 2 divided by -3.
-2/3
What is 25502 divided by -6?
-12751/3
Divide 2964 by 13.
228
What is 32 divided by 11?
32/11
What is 2 divided by 145?
2/145
What is 49 divided by 2?
49/2
What is -92320 divided by -4?
23080
Divide -1852 by 9.
-1852/9
What is -468 divided by 117?
-4
Calculate -210 divided by 14.
-15
Calculate -99 divided by 11.
-9
What is -21584 divided by 71?
-304
What is 4 divided by -158?
-2/79
Calculate 50 divided by -195.
-10/39
What is -111 divided by -37?
3
Calculate -2000 divided by -4.
500
Calculate 6045 divided by 3.
2015
What is 64 divided by -2?
-32
Divide -462 by 33.
-14
5 divided by -143
-5/143
What is -2475 divided by 495?
-5
0 divided by 18
0
Calculate 1704 divided by 142.
12
Divide -1138 by -1.
1138
Divide -11 by 11.
-1
Calculate 14 divided by -98.
-1/7
Calculate 5 divided by -60.
-1/12
Calculate 17 divided by 17.
1
What is -1295 divided by -6?
1295/6
2315 divided by 463
5
Divide -5 by -158.
5/158
What is -104 divided by 2?
-52
What is -74 divided by 2?
-37
Calculate 248 divided by -1.
-248
Divide 5 by 1910.
1/382
Divide -4 by -1083.
4/1083
Divide -125 by -25.
5
Calculate -768 divided by 4.
-192
Calculate -2553 divided by 3.
-851
-20 divided by -363
20/363
2654 divided by 5
2654/5
Divide 33 by -3.
-11
Calculate 310 divided by -62.
-5
What is 12057 divided by 3?
4019
Calculate -47 divided by -2.
47/2
-692 divided by -1
692
What is -5 divided by -587?
5/587
-66 divided by 66
-1
What is -2233 divided by -319?
7
368 divided by 23
16
3647 divided by 3
3647/3
Calculate 192 divided by 2.
96
What is 44382 divided by -2?
-22191
566 divided by 2
283
Divide 3402 by 81.
42
4 divided by 234
2/117
Calculate -10 divided by 84.
-5/42
-24 divided by 1
-24
Divide -185 by -5.
37
Calculate 2 divided by 7.
2/7
What is 13 divided by 28?
13/28
What is -3 divided by -56?
3/56
What is -5 divided by -23?
5/23
-182 divided by -2
91
Divide -29222 by 1.
-29222
Calculate 444 divided by 74.
6
Calculate 4 divided by 964.
1/241
What is -384 divided by -64 | {
"pile_set_name": "DM Mathematics"
} |
econd derivative of -11*t**2*y**2 - 169*t**2*y - 58*t**2 - 3*t*y**2 + 18*t*y + y**2 - 17*y + 4 wrt t?
-22*y**2 - 338*y - 116
What is the second derivative of -45*s**2*z**2 - 2*s**2*z + 27*s**2 - 251*s - 45*z**2 wrt s?
-90*z**2 - 4*z + 54
What is the third derivative of -298963*f**3 - 9550*f**2 - 174*f wrt f?
-1793778
What is the third derivative of 155325*f**3 + 2200730*f**2?
931950
Differentiate -s**3 + 82423*s + 1001 wrt s.
-3*s**2 + 82423
Find the second derivative of 13*i**5 + 599*i**4 + i**3 - 363*i - 1 wrt i.
260*i**3 + 7188*i**2 + 6*i
What is the third derivative of 210*s**3*z**3 + 90*s**3 + 425*s**2*z**5 + 5*s**2*z**2 + 38*z**2 wrt z?
1260*s**3 + 25500*s**2*z**2
What is the derivative of -476350*z**2 + 214933?
-952700*z
Find the second derivative of 82287*z**2 - z + 16330.
164574
What is the second derivative of 2545118*f**3 + 961295*f wrt f?
15270708*f
Differentiate 4*a**3*l - 6*a**3 - 5*a**2 + a*l + 3*l - 334302 with respect to a.
12*a**2*l - 18*a**2 - 10*a + l
What is the third derivative of -2*r**4*x + 23905*r**4 + 8*r**3*x + 53*r**2*x + 2*r**2 + 43*r*x + 2*x - 1 wrt r?
-48*r*x + 573720*r + 48*x
What is the second derivative of -21*f**2*i**3*q**2 - 2*f**2*i**3*q - 7*f**2*i*q + 60*f**2*q**2 - 3*f**2 + 2*f*i**3*q + 4*i**2 wrt q?
-42*f**2*i**3 + 120*f**2
What is the third derivative of 32*l**4*x + 200*l**4 + 13714*l**2*x + l*x wrt l?
768*l*x + 4800*l
Find the third derivative of -3416620*i**3 + 3*i**2 - 14*i + 3754 wrt i.
-20499720
What is the second derivative of 2*f**4 - 3454*f**3 - 13*f + 2602?
24*f**2 - 20724*f
Find the second derivative of -14*m**5 + 135*m**4 - 12*m**3 + 120751*m wrt m.
-280*m**3 + 1620*m**2 - 72*m
Find the first derivative of -7*q**2*r**2 - 11550*q**2 + 3436*r**3 - r wrt r.
-14*q**2*r + 10308*r**2 - 1
What is the second derivative of 151842*o**2 - 45872*o wrt o?
303684
Find the second derivative of 7*r**5 - 40*r**4 - 3*r**3 - 24028*r - 1.
140*r**3 - 480*r**2 - 18*r
Find the third derivative of 3*d**3*i**3 + 409*d**3 + 42*d**2*i**2 + 2947*i**5 wrt i.
18*d**3 + 176820*i**2
Find the third derivative of 1720253*m**4 + 2*m**2 - 213393*m + 2 wrt m.
41286072*m
What is the third derivative of 7678*o**4 + o**2 + 167692?
184272*o
What is the second derivative of -15970*a**2 + 46348*a wrt a?
-31940
What is the first derivative of -1505*b**2*o + 2*b*o - 70*b + 1743*o + 352 wrt b?
-3010*b*o + 2*o - 70
Find the first derivative of 8951*v - 1084161 wrt v.
8951
What is the third derivative of -5838455*u**6 - 6272959*u**2 wrt u?
-700614600*u**3
What is the derivative of 1770*d*l**3 - 2*d*l**2 - d - 35*l**3 + 317399 wrt l?
5310*d*l**2 - 4*d*l - 105*l**2
What is the second derivative of -559775*o*t**2 + 54939*o*t - o wrt t?
-1119550*o
What is the derivative of c**2*m**3*z + 423*c**2*m**2 + 3*c*m**3 - 13530*m**2*z - 2*m**2 wrt z?
c**2*m**3 - 13530*m**2
Find the second derivative of 173616*c**2 - 22399*c + 2 wrt c.
347232
What is the first derivative of 163265*i - 295585 wrt i?
163265
What is the derivative of -4399*n**3*u - 2*n**3 - 2*u**2 + 33498 wrt u?
-4399*n**3 - 4*u
What is the second derivative of -62*a**2*h**5 - 320*a**2*h**3 - a**2*h + 3*h - 3950 wrt h?
-1240*a**2*h**3 - 1920*a**2*h
Find the first derivative of d**3*v - 997*d**2*v - d*v - d + 326*v - 2 wrt d.
3*d**2*v - 1994*d*v - v - 1
What is the first derivative of -2941815*h*w - 183303*w - 8 wrt h?
-2941815*w
Find the third derivative of -1255026*t**4 + 2186554*t**2 wrt t.
-30120624*t
Find the third derivative of -2203*n**4 - 18*n**3 + 61601*n**2 + 1 wrt n.
-52872*n - 108
What is the third derivative of -4052*l**5 - 7*l**4 - l**3 + 11*l**2 - 448 wrt l?
-243120*l**2 - 168*l - 6
What is the second derivative of 629*l**5 + 8*l + 8140 wrt l?
12580*l**3
What is the third derivative of -15*y**5 + 41*y**4 - 30*y**3 + 8*y**2 + 6675*y?
-900*y**2 + 984*y - 180
What is the third derivative of -228039*r**5 + 56725*r**2 wrt r?
-13682340*r**2
Differentiate -7*p*w**2 + 153*p*w + 4*p + 7*w**3 + 827 wrt w.
-14*p*w + 153*p + 21*w**2
Find the second derivative of q**3*r**3 - 56984*q**3 - 743*q*r**3 + 29*q*r - 7*r**3 wrt q.
6*q*r**3 - 341904*q
What is the derivative of -7202*h*t + 26*h - 362 wrt t?
-7202*h
Differentiate 19*n*w**2*z - 6*n*w**2 - 9*n*w*z + 462*n*w - 86*w**2*z + 6*w with respect to z.
19*n*w**2 - 9*n*w - 86*w**2
Find the second derivative of -1245631*h**3*m**2 - 2*h**3*m + 56*h*m + 12*h - 2*m wrt m.
-2491262*h**3
Find the second derivative of 64502*x**2 + 20*x - 338 wrt x.
129004
What is the third derivative of 83446*b**3*w**2 - 29939*b**2*w**2 + 2*b**2*w wrt b?
500676*w**2
What is the second derivative of 19862*i**4 - 39718*i wrt i?
238344*i**2
Find the third derivative of 394916*w**4 + 129927*w**2 wrt w.
9477984*w
What is the third derivative of 208111*v**5 - 346358*v**2 wrt v?
12486660*v**2
Find the second derivative of -13*g**3*y**3 - 15*g**3 - 8*g*y**5 + 3531*g*y + 324*y**2 wrt y.
-78*g**3*y - 160*g*y**3 + 648
What is the first derivative of 69*c**3 + 16*c**2 - 5*c + 2545682?
207*c**2 + 32*c - 5
What is the second derivative of 1677848*s**4 - 2*s**3 + 31940*s - 13 wrt s?
20134176*s**2 - 12*s
What is the third derivative of 423331*j**3 - 608933*j**2 wrt j?
2539986
What is the derivative of 51*s**3 - 611*s + 136015?
153*s**2 - 611
What is the third derivative of 1280387*v**3 - 36*v**2 - 10161*v - 1?
7682322
What is the second derivative of -44624*k**2 + 9*k - 2019?
-89248
Find the third derivative of 170*g**2*t**4 + g**2*t**3 - 51090*g**2 + 12*g*t**4 - 2*t**2 - 1 wrt t.
4080*g**2*t + 6*g**2 + 288*g*t
Find the first derivative of -43*z**3 - 3300*z**2 - 288573.
-129*z**2 - 6600*z
Find the third derivative of 22939*o**5 + o**2 - 81*o - 20.
1376340*o**2
Find the first derivative of 372*n*r**3*x - 5*n*r + 4*n + 5*r**3 + 13*r*x**3 - 131 wrt x.
372*n*r**3 + 39*r*x**2
What is the first derivative of -3*f*k**2*l + 136*f*k**2 - 66*f + 118*k**2*l + 462*l wrt k?
-6*f*k*l + 272*f*k + 236*k*l
What is the first derivative of b*j**3 - 15121*b*j**2 + 2*b*j - 14*j**3 - 8*j**2 - 81 wrt b?
j**3 - 15121*j**2 + 2*j
Find the third derivative of 4*p**2*x**3*y**2 + 2*p**2*x**3*y + 634*p**2*x**3 - 92*p**2*y**3 + 3*p*x + 10917*x**3*y**3 - 5*x**2 wrt y.
-552*p**2 + 65502*x**3
Find the second derivative of 2303580*r**2 + 132888*r wrt r.
4607160
Find the third derivative of -3*a**6 + 10060*a**4 + 67541*a**2 wrt a.
-360*a**3 + 241440*a
What is the derivative of 8*m*w*y - 19*m*w - 2*m*y - 4*m + 22*w*y**2 + 3*w*y - 21*w - 1 wrt y?
8*m*w - 2*m + 44*w*y + 3*w
Find the first derivative of -2*g**3 - 8*g**2 - 6423*g + 210611.
-6*g**2 - 16*g - 6423
Find the third derivative of -2278745*v**5 - 1725439*v**2 wrt v.
-136724700*v**2
Find the second derivative of t**3*z - 4*t**3 + 18*t**2*z + 47*t**2 - 2*t*z + 312*t - 13 wrt t.
6*t*z - 24*t + 36*z + 94
Find the third derivative of -262*p*q**5 - 40*p*q**3 + 1337*p*q**2 + 26*p wrt q.
-15720*p*q**2 - 240*p
What is the second derivative of 514412*k**3 + 4*k - 26661?
3086472*k
Differentiate -3*g**3*o**3 + 150388*g**3*o - 2*o**3 - 22*o**2 + 2*o + 1574 wrt g.
-9*g**2*o**3 + 451164*g**2*o
What is the second derivative of 180*k**4 - 1596*k**2 + 2574*k - 284 wrt k?
2160*k**2 - 3192
What is the third derivative of -451508*t**3 - 348*t**2 + 795*t wrt t?
-2709048
Find the third derivative of -2301446*g**3*z**3 - 159*g**2*z**2 - 35*g**2 - 15*g*z**3 wrt g.
-13808676*z**3
Find the second derivative of -28*s**2*z**3 + 5*s**2 + s*z**3 + 18777*s*z + 12971*z**2 wrt z.
-168*s**2*z + 6*s*z + 25942
Find the second derivative of -31*d**4 - d**3 + 1603*d**2*u - 345934*d*u wrt d.
-372*d**2 - 6*d + 3206*u
Differentiate -3*g**3 - 3021*g**2 + g - 346680 wrt g.
-9*g**2 - 6042*g + 1
Find the first derivative of -5398*a**4*n - 7*a**2*n + 40124*n wrt a.
-21592*a**3*n - 14*a*n
Differentiate 3635*i + 15303 with respect to i.
3635
What is the second derivative of -782*t**4 + 4*t**3 + 49127*t?
-9384*t**2 + 24*t
What is the first derivative of -312931*o**4 + 518138?
-1251724*o**3
Differentiate f*g*p - 2*f*g + 9083*f*p + f + 298297*g*p - 2*g - 2*p wrt g.
f*p - 2*f + 298297*p - 2
Find the second derivative of -271*s**3*x**2 - s**3 - 60*s**2*x**3 + 3*s*x**2 + x**3 - 57*x wrt s.
-1626*s*x**2 - 6*s - 120*x**3
Differentiate 824005*j*y + 269609*y with respect to j.
824005*y
Find the second derivative of -2 | {
"pile_set_name": "DM Mathematics"
} |
ivided by 1464.
-230
-3984 divided by 39
-1328/13
Calculate 1303678 divided by -1.
-1303678
Divide -531960 by -8580.
62
Calculate 7114 divided by 28.
3557/14
Calculate 1005800 divided by -251450.
-4
Calculate 4 divided by -468708.
-1/117177
Divide -313244 by -2.
156622
What is -844 divided by -12?
211/3
What is 222726 divided by 3?
74242
Divide 3766874 by 28111.
134
Divide 4279 by 8.
4279/8
Divide 65316 by -6.
-10886
Divide -390210 by 3.
-130070
1185 divided by -219
-395/73
Divide 525 by 2.
525/2
Divide -7 by 1777.
-7/1777
Calculate -7503 divided by -183.
41
286800 divided by 16
17925
What is 237520 divided by -4?
-59380
Calculate 180060 divided by 6002.
30
Calculate -484850 divided by -19394.
25
Divide 1156684 by -2.
-578342
Divide -2170 by 3.
-2170/3
Calculate 92883 divided by 1.
92883
What is -302650 divided by -302650?
1
Divide -50 by 115.
-10/23
7797 divided by -7
-7797/7
Calculate 175055 divided by 5.
35011
Calculate -13 divided by 71328.
-13/71328
Calculate 520353 divided by -57.
-9129
What is -83 divided by -13495?
83/13495
Calculate -21136972 divided by -4.
5284243
Divide -18647 by 643.
-29
Calculate 236903 divided by 3.
236903/3
-1 divided by 96445
-1/96445
-163600 divided by -32720
5
Calculate 3 divided by -32589.
-1/10863
Calculate 297604 divided by 1.
297604
Calculate 8 divided by -105430.
-4/52715
What is 6397079 divided by 5?
6397079/5
Calculate 3784 divided by -17.
-3784/17
Divide 177474 by 1.
177474
Divide -440 by -420.
22/21
Divide -16781 by -293.
16781/293
Calculate 564 divided by 8.
141/2
313225 divided by 62645
5
Calculate -305151 divided by -1.
305151
Calculate 180 divided by -60.
-3
Calculate 6486 divided by 290.
3243/145
What is -765 divided by 17?
-45
What is -1631152 divided by -2?
815576
12 divided by -18480
-1/1540
What is 8351 divided by -220?
-8351/220
What is -758548 divided by -4?
189637
What is 151308 divided by -6?
-25218
What is 87948 divided by -36?
-2443
1307865 divided by 13767
95
Divide -643 by 1835.
-643/1835
Calculate -17 divided by -23044.
17/23044
What is 37238 divided by 86?
433
Divide 126698 by 63349.
2
Divide 20780 by 5195.
4
-10 divided by 25730
-1/2573
What is -5 divided by -2358?
5/2358
Calculate -2584 divided by -8.
323
Calculate -2864 divided by -2864.
1
Divide 27 by 527.
27/527
Calculate 283 divided by 614.
283/614
Divide 28746 by -6.
-4791
-1543 divided by -1
1543
133475 divided by 5
26695
Divide 1461573 by -162397.
-9
What is -693828 divided by 173457?
-4
Calculate -5 divided by 75817.
-5/75817
165 divided by 1110
11/74
What is -60 divided by -39818?
30/19909
Divide -427713 by -39.
10967
What is 1 divided by 19229?
1/19229
What is -66917 divided by -5?
66917/5
-3367 divided by -297
3367/297
Calculate -248383 divided by 13.
-248383/13
Calculate -51 divided by 130.
-51/130
What is -634752 divided by -3?
211584
Calculate -2223715 divided by 5.
-444743
Calculate 100548 divided by 294.
342
What is 81156 divided by 20289?
4
511425 divided by -11365
-45
What is -11 divided by 34841?
-11/34841
-1587767 divided by 4
-1587767/4
Calculate -8576 divided by -10.
4288/5
Divide -6510 by 19.
-6510/19
Calculate 7505664 divided by 4.
1876416
Divide -68216 by -6.
34108/3
Divide -25352 by -246.
12676/123
What is -235164 divided by -117582?
2
652518 divided by -8
-326259/4
What is -231726 divided by 14?
-115863/7
What is 12 divided by 76542?
2/12757
What is 99 divided by -403?
-99/403
908110 divided by 5
181622
What is 60 divided by 20809?
60/20809
737275 divided by -25
-29491
-471138 divided by -78523
6
Divide -223398 by 74466.
-3
What is -65508 divided by -1236?
53
Calculate -1284 divided by -3.
428
Divide -157104 by -52368.
3
-34680 divided by -60
578
What is -170960 divided by -4?
42740
-1 divided by 42980
-1/42980
Divide -364403 by -5.
364403/5
What is -46221 divided by 83?
-46221/83
-22608 divided by 7536
-3
Divide -22264 by -2783.
8
Calculate -516901 divided by 7.
-73843
Calculate 24426 divided by 4071.
6
-72 divided by -546
12/91
What is 275 divided by -278?
-275/278
What is 4 divided by 22027?
4/22027
Divide 5291 by -10.
-5291/10
What is 849483 divided by 37?
22959
Divide 2 by 3810.
1/1905
-13 divided by -178595
13/178595
1 divided by 17139
1/17139
What is -349956 divided by 87489?
-4
-746200 divided by 5740
-130
-44837 divided by -3
44837/3
Calculate 33816 divided by -8454.
-4
7740 divided by 4
1935
Calculate -377464 divided by -94366.
4
19925016 divided by 4
4981254
Divide -411255 by -411255.
1
Divide 795760 by 280.
2842
Calculate 32155 divided by -295.
-109
What is 3 divided by -50130?
-1/16710
-132510 divided by -14
9465
What is 5 divided by 6890?
1/1378
What is 148461 divided by 213?
697
What is -90168 divided by 1768?
-51
Divide 12595 by 35.
2519/7
Divide -47764 by -5.
47764/5
What is -529056 divided by 6?
-88176
Calculate 1950 divided by 25.
78
Divide 16787 by 154.
16787/154
Calculate 39672 divided by 29.
1368
Divide -184055 by -131.
1405
Divide -850136 by 28.
-30362
Divide -353130 by -149.
2370
Calculate -341575 divided by -5.
68315
What is 1547988 divided by -386997?
-4
-1097577 divided by 18603
-59
Calculate 16696 divided by -2087.
-8
122952 divided by -8
-15369
What is -56014 divided by 40?
-28007/20
-891624 divided by 3
-297208
-2343042 divided by -306
7657
Divide 784952 by -28034.
-28
34302 divided by 2
17151
223146 divided by 6
37191
1395504 divided by 87219
16
450732 divided by 6
75122
Calculate 5 divided by 29603.
5/29603
Divide 2310444 by -3.
-770148
-2691615 divided by -15
179441
74050 divided by 5
14810
936024 divided by 172
5442
Divide -11 by -22525.
11/22525
Calculate 254984 divided by 8.
31873
Divide 69806 by 4.
34903/2
What is 53292 divided by -2?
-26646
Calculate -352728 divided by 46.
-7668
What is 8 divided by 418417?
8/418417
1241 divided by -10
-1241/10
Divide -312624 by 12024.
-26
-84 divided by 501
-28/167
What is -27405 divided by 29?
-945
Divide 669928 by -1.
-669928
What is -4 divided by 183565?
-4/183565
What is -1 divided by 1383?
-1/1383
Divide 297 by 5750.
297/5750
Calculate -250484 divided by 4.
-62621
Calculate -4 divided by 1984.
-1/496
-2129310 divided by -47318
45
1578 divided by 722
789/361
Calculate -97080 divided by 24.
-4045
Divide 502 by -7.
-502/7
Divide 0 by -2452.
0
Calculate 27 divided by 4929.
9/1643
Calculate -546727 divided by 1.
-546727
1697 divided by -18
-1697/18
Divide 22908 by -996.
-23
What is 18514 divided by -64?
-9257/32
Calculate -116783 divided by -6.
116783/6
Divide 475 by 2771.
475/2771
Calculate -5 divided by 3365.
-1/673
Divide 59288 by -3.
-59288/3
Calculate -26710 divided by -5.
5342
Calculate -90 divided by 557.
-90/557
Calculate -3410 divided by -31.
110
443330 divided by -1031
-430
228 divided by 546
38/91
46056 divided by 11514
4
Divide -92 by 6603.
-92/6603
4 divided by -9410
-2/4705
Calculate 126 divided by 5752.
63/2876
-249048 divided by -4
62262
What is -146508 divided by -48836?
3
What is -3156807 divided by 5?
-3156807/5
Calculate 2 divided by 9043.
2/9043
What is 0 divided by 161617?
0
Divide -47973 by 3.
-15991
Divide 2 by 84196.
1/42098
What is 13 divided by 2863?
13/2863
What is 9453 divided by -3?
-3151
Divide 100671 by 33557.
3
Divide 43210 by -5.
-8642
Calculate 181 divided by -957.
-181/957
Divide -1529512 by 4.
-382378
Calculate -175136 divided by -416.
421
1102 divided by -205
-1102/205
Divide 2487088 by 310886.
8
Calculate 2965 divided by 593.
5
What is 3079 divided by -39?
-3079/39
218080 divided by -188
-1160
1516710 divided by -2
-758355
-1484505 divided by 5
-296901
Divide 15274 by 5.
15274/5
What is 7667 divided by 451?
17
Divide 21431 by -12.
-21431/12
-167864 divided by 1
-167864
Divide 75082 by -4.
-37541/2
277386 divided by 4
138693/2
-441754 divided by 2
-220877
Divide -738297 by 9.
-82033
What is -199408 divided by -484?
412
Divide -11 by 5962.
-1/542
What is 1952611 divided by -2?
-1952611/2
-1483 divided by 92
-1483/92
Calculate -29083 divided by 2.
-29083/2
-317 divided by 1636
-317/1636
190 divided by -28
-95/14
-337568 divided by 1232
-274
Calculate 0 divided by 386040.
0
What is 10 divided by 9976?
5/4988
What is 891300 divided by 150?
5942
Calculate 848190 divided by -2885.
-294
66348 divided by 194
342
Calculate -25965 divided by 4.
-25965/4
Calculate 7810 divided by 5.
1562
What is -1 d | {
"pile_set_name": "DM Mathematics"
} |
that 4*i**2 - 154200*i + 1486102500 = 0.
19275
Determine g so that 86*g**2 + 1604*g/3 + 112 = 0.
-6, -28/129
Determine h so that -2*h**5 - 704*h**4 - 90078*h**3 - 4914832*h**2 - 97192576*h - 249719808 = 0.
-104, -37, -3
Factor -2*s**3 + 174*s**2 + 2466*s - 8910.
-2*(s - 99)*(s - 3)*(s + 15)
Factor -5*n**3 - 1855*n**2 + 7525*n + 9375.
-5*(n - 5)*(n + 1)*(n + 375)
Let r**3/4 - 2097*r**2/4 + 1114911*r/4 - 16255215/4 = 0. Calculate r.
15, 1041
Factor x**2 + 1356*x - 2716.
(x - 2)*(x + 1358)
Factor -c**4 - 1778*c**3 - 1777*c**2.
-c**2*(c + 1)*(c + 1777)
Factor -18*u**3 + 470*u**2 - 2264*u - 6552.
-2*(u - 18)*(u + 2)*(9*u - 91)
Factor 3*w**2/2 + 177129*w/2.
3*w*(w + 59043)/2
Determine q, given that 6327*q**3/7 + 19821*q**2/7 + 360*q = 0.
-3, -280/2109, 0
Factor -s**3/3 + 295*s**2/3 - 292*s.
-s*(s - 292)*(s - 3)/3
Factor y**2/3 + 1016*y/3 - 3420.
(y - 10)*(y + 1026)/3
Determine f, given that -f**2/3 - 45506*f/3 - 517699009/3 = 0.
-22753
Determine p so that -15*p**5/2 - 760*p**4 - 20865*p**3/2 - 1390*p**2 + 26190*p - 13600 = 0.
-85, -16, -2, 2/3, 1
Factor 2*x**2 - 1668*x - 53630.
2*(x - 865)*(x + 31)
Solve -r**3/4 - 267*r**2/2 + 1075*r/4 + 402 = 0 for r.
-536, -1, 3
Find c, given that 4*c**2 + 2735312*c + 467620733584 = 0.
-341914
Determine j, given that 3*j**4 - 3897*j**3 - 90858*j**2 - 476352*j + 571104 = 0.
-12, 1, 1322
Find d such that -d**3 + 985*d**2 + d - 985 = 0.
-1, 1, 985
Factor 2*d**3/5 - 3936*d**2/5 - 19718*d/5 - 23676/5.
2*(d - 1973)*(d + 2)*(d + 3)/5
Factor c**4/3 - c**3/3 - 95*c**2 + 819*c - 1620.
(c - 9)**2*(c - 3)*(c + 20)/3
Let 2*m**5/7 - 14624*m**4/7 - 234342*m**3/7 - 161188*m**2 - 205184*m = 0. Calculate m.
-7, -2, 0, 7328
Solve -5*o**2 + 37650*o = 0 for o.
0, 7530
Solve 33*x**3 - 4374*x**2 + 15147*x - 6966 = 0 for x.
6/11, 3, 129
What is n in -162*n**5 + 18477*n**4/2 - 499*n**3/2 - 797*n**2/2 - 57*n/2 = 0?
-1/9, 0, 1/4, 57
Factor 3*c**2 - 1632*c - 8235.
3*(c - 549)*(c + 5)
Factor f**2/2 - 1091*f/2 + 134924.
(f - 712)*(f - 379)/2
Solve -o**5/3 + o**4 + 214*o**3/3 + 136*o**2 = 0 for o.
-12, -2, 0, 17
Find j, given that 4*j**5 - 200*j**4 + 1476*j**3 + 432*j**2 - 17712*j = 0.
-3, 0, 6, 41
Suppose 2*d**2 + 1782*d + 302328 = 0. What is d?
-663, -228
Factor -3*j**2 + 417*j - 2772.
-3*(j - 132)*(j - 7)
Let 2*f**4/5 + 292*f**3/5 + 576*f**2/5 = 0. Calculate f.
-144, -2, 0
Suppose -2*s**4 + 170*s**3 + 4646*s**2 - 20714*s + 15900 = 0. What is s?
-25, 1, 3, 106
Solve 4*j**2 - 1587940*j + 1587936 = 0 for j.
1, 396984
Factor -1716100*s**2/7 + 1110880*s/7 - 179776/7.
-4*(655*s - 212)**2/7
Suppose i**2/6 - 39419*i/3 + 1553857561/6 = 0. What is i?
39419
Determine v, given that -2*v**3/3 + 16*v**2/3 - 14*v + 12 = 0.
2, 3
Find b, given that -2*b**4/13 + 2*b**3/13 + 456*b**2/13 - 104*b + 896/13 = 0.
-16, 1, 2, 14
Let -27*x**5 - 277104*x**4/5 - 172029*x**3/5 + 695544*x**2/5 - 172404*x/5 - 73872/5 = 0. What is x?
-2052, -2, -2/9, 3/5, 1
Determine s so that 4*s**2 + 208*s = 0.
-52, 0
Factor -2*n**3 + 9154*n**2 - 9140*n - 54912.
-2*(n - 4576)*(n - 3)*(n + 2)
Suppose -2*s**5/15 + 4492*s**4/15 + 17992*s**3/15 + 1200*s**2 = 0. Calculate s.
-2, 0, 2250
Factor -2*i**3/3 + 1948*i**2/3 - 75520*i/3 + 747200/3.
-2*(i - 934)*(i - 20)**2/3
Factor 2*r**3/5 - 477938*r**2/5 - 955882*r/5 - 477942/5.
2*(r - 238971)*(r + 1)**2/5
Factor -2*g**3 - 25474*g**2 - 127332*g - 152784.
-2*(g + 2)*(g + 3)*(g + 12732)
Find q, given that 2*q**5/9 - 40*q**4/3 + 910*q**3/9 + 3080*q**2 + 7200*q - 10368 = 0.
-9, -4, 1, 36
Factor 3*d**4 - 834978*d**3 - 5009940*d**2 - 10019928*d - 6679968.
3*(d - 278332)*(d + 2)**3
Solve 2*o**5/9 + 1180*o**4/9 - 4880*o**3/3 - 116000*o**2/9 - 250720*o/9 - 19264 = 0 for o.
-602, -2, 18
Suppose 5*i**2/2 - 2201865*i/2 + 1100930 = 0. Calculate i.
1, 440372
Find l, given that -l**3/3 + 3020*l**2/3 + 6044*l/3 = 0.
-2, 0, 3022
Factor -5*w**2 + 17965*w - 17960.
-5*(w - 3592)*(w - 1)
Determine n so that -28*n**2/9 + 4034*n/9 - 32 = 0.
1/14, 144
Determine v, given that -v**2 + 10556*v + 42240 = 0.
-4, 10560
Let 2*g**5/5 + 156*g**4/5 - 3882*g**3/5 + 3724*g**2/5 = 0. What is g?
-98, 0, 1, 19
Solve -2*i**2/13 - 2342476*i/13 - 685899226322/13 = 0.
-585619
Determine q so that -8*q**5/13 + 1682*q**4/13 - 17952*q**3/13 + 7972*q**2/13 + 76568*q/13 + 48954/13 = 0.
-1, 3, 41/4, 199
Factor -6*a**5/5 + 16*a**4/5 - 8*a**3/5.
-2*a**3*(a - 2)*(3*a - 2)/5
Suppose -t**2/3 + 73762*t/3 - 1360208161/3 = 0. Calculate t.
36881
Determine h so that -2*h**4/5 - 1782*h**3/5 + 115466*h**2/5 - 644466*h/5 + 188496 = 0.
-952, 3, 55
Factor l**2/4 + 30951*l/2 + 957964401/4.
(l + 30951)**2/4
Solve -4*w**2 - 160*w + 7616 = 0.
-68, 28
Factor 5*l**2 - 124160*l + 770785280.
5*(l - 12416)**2
Suppose -8*o**3/3 + 418*o**2 + 43466*o/3 + 3596 = 0. What is o?
-29, -1/4, 186
Determine f so that 4*f**5 - 5776*f**4 + 2079288*f**3 + 4268592*f**2 - 31363740*f = 0.
-5, 0, 3, 723
Suppose 10*u**5/3 + 584*u**4/3 + 9712*u**3/3 + 11524*u**2 + 11394*u + 2916 = 0. Calculate u.
-27, -3, -1, -2/5
Suppose -i**4/2 - 213*i**3/2 - 4485*i**2/2 + 9613*i/2 - 2457 = 0. Calculate i.
-189, -26, 1
Factor 2*y**3 - 296*y**2 + 10408*y + 22016.
2*(y - 86)*(y - 64)*(y + 2)
Suppose -201*h**4/5 - 693*h**3 - 7047*h**2/5 - 4503*h/5 - 144 = 0. What is h?
-15, -1, -16/67
Determine p, given that -2*p**4 + 569994*p**3/11 - 3691630894*p**2/11 - 4363529010*p/11 - 671328100/11 = 0.
-1, -2/11, 12955
Suppose 18*h**3/5 + 100521*h**2/5 - 50267*h/5 - 2234 = 0. Calculate h.
-5585, -1/6, 2/3
Factor i**3 + 2868*i**2 + 2070621*i + 20420410.
(i + 10)*(i + 1429)**2
Factor 32*d**3 + 3148*d**2 + 3505*d + 389.
(d + 1)*(4*d + 389)*(8*d + 1)
Determine r so that r**5 + 14*r**4 + 9*r**3 - 56*r**2 - 52*r = 0.
-13, -2, -1, 0, 2
Suppose m**3/5 - 121*m**2/5 + 2854*m/5 + 13416/5 = 0. What is m?
-4, 39, 86
Let 11*w**3 + 256*w**2 + 729*w + 180 = 0. Calculate w.
-20, -3, -3/11
Factor -2*y**4 - 394*y**3 + 2436*y**2.
-2*y**2*(y - 6)*(y + 203)
Determine o so that o**3/4 - 106341*o**2/2 + 2827155240*o - 5654097800 = 0.
2, 106340
Factor -l**2/4 + 38675*l/4 + 9669.
-(l - 38676)*(l + 1)/4
Suppose -2*n**5/5 - 46*n**4 - 5984*n**3/5 + 27744*n**2/5 = 0. What is n?
-68, -51, 0, 4
Factor -9*x**2 + 32862*x + 21912.
-3*(x - 3652)*(3*x + 2)
Factor n**2/2 + 421*n + 2508.
(n + 6)*(n + 836)/2
Suppose -5*o**4/3 + 1600*o**3/3 - 9460*o**2/3 + 12560*o/3 = 0. Calculate o.
0, 2, 4, 314
What is g in -4*g**4/5 - 69572*g**3/5 - 404025552*g**2/5 - 157454436800*g - 22492801809152/5 = 0?
-5788, -29
Factor 4*d**4 - 24*d**3 - 48*d**2 + 352*d - 384.
4*(d - 6)*(d - 2)**2*(d + 4)
Factor -2*z**3 + 124*z**2 - 690*z + 1008.
-2*(z - 56)*(z - 3)**2
Factor -4*p**2/5 - 11484*p/5 - 2544872/5.
-4*(p + 242)*(p + 2629)/5
Suppose 49*n**4/6 + 119063*n**3/3 + 28342*n**2 - 31583*n/3 + 4859/6 = 0. Calculate n.
-4859, -1, 1/7
Find s such that 125*s**5/2 + 9470*s**4 + 712821*s**3/2 - 177767*s**2 - 170848*s - 17328 = 0.
-76, -2/5, -3/25, 1
Factor -3*k**2/5 - 846*k/5 + 849/5.
-3*(k - 1)*(k + 283)/5
Suppose -2*z**5 - 676*z**4 + 47806*z**3 - 721568*z**2 - 1589248*z - 819200 = 0. Calculate z.
-400, -1, 32
Factor -4*r**2 - 12892*r + 12896.
-4*(r - 1)*(r + 3224)
Suppose -10*i**5/11 - 82*i**4/11 + 404*i**3/11 + 1124*i**2/11 + 758*i/11 + 10 = 0. What is i?
-11, -1, -1/5, 5
Suppose v**5 + 5852*v**4 - 2*v**3 - 11704*v**2 + v + 5852 = 0. What is v?
-5852, -1, 1
Let -5*i**2 + 1980*i + 224480 = 0. Calculate i.
-92, 488
Solve 5*b**4 - 19910*b**3 + 19905*b**2 = 0 for b.
0, 1, 3981
Find j such that -5*j**3 + 84250*j**2 - 355239885*j + 2836529640 = 0.
8, 8421
Determine m, given that -m**3/2 - 16679*m**2/2 - 34836092*m - 520666680 = 0.
-8332, -15
Factor -5*f**3 - 3410*f**2 + 20600*f - 27520.
-5*(f - 4)*(f - 2)*(f + 688)
Find l, given that -35*l**3 - 13695*l**2 - 1200490*l - 341880 = 0.
-259, -132, -2/7
Factor -3*z**4 - 475125*z**3 - 25082482248*z**2 - 441368078973888*z + 441393161931264.
-3*(z - 1)*(z + 52792)**3
Factor -c**3/7 - 183*c**2/7 - 606*c - 25120/7.
-(c + 10)*(c + 16)*(c + 157)/7
Let -4*a**3 + 948*a**2 + 16*a - 3792 = 0. What is a?
-2, 2, 237
Factor 4*i**2 - 895904*i + 50165248576.
4*(i - 111988)**2
Determine i so that 5*i**3 + 2210*i**2 + 241980*i - 492840 = 0.
-222, 2
Find y such that 4*y**2 + 34868*y + 139408 = 0.
-8713, -4
What is s in 4*s**4 - 300404*s**3/7 - 8822168*s**2/7 + 6540624*s/7 + 2581920/7 = 0?
-30, -2/7, 1, 10758
So | {
"pile_set_name": "DM Mathematics"
} |
e o'th term of -128, -253, -364, -455, -520, -553?
o**3 + o**2 - 135*o + 5
What is the m'th term of -165, -209, -253, -297, -341, -385?
-44*m - 121
What is the h'th term of 65, 87, 109, 131, 153?
22*h + 43
What is the k'th term of 49, 83, 107, 115, 101, 59, -17?
-k**3 + k**2 + 38*k + 11
What is the f'th term of -10782, -10782, -10772, -10746, -10698, -10622, -10512?
f**3 - f**2 - 4*f - 10778
What is the g'th term of 15884, 31769, 47654, 63539?
15885*g - 1
What is the a'th term of -18, -104, -344, -816, -1598, -2768?
-13*a**3 + a**2 + 2*a - 8
What is the f'th term of 2, -21, -62, -121, -198, -293?
-9*f**2 + 4*f + 7
What is the n'th term of 87, 164, 233, 288, 323, 332?
-n**3 + 2*n**2 + 78*n + 8
What is the z'th term of -44, -60, -88, -128, -180, -244, -320?
-6*z**2 + 2*z - 40
What is the c'th term of 58, 12, -66, -176?
-16*c**2 + 2*c + 72
What is the p'th term of 47, 188, 423, 752, 1175?
47*p**2
What is the v'th term of 20, 66, 144, 254?
16*v**2 - 2*v + 6
What is the x'th term of 518, 1034, 1552, 2072, 2594, 3118, 3644?
x**2 + 513*x + 4
What is the f'th term of 74, 28, -50, -160, -302, -476?
-16*f**2 + 2*f + 88
What is the f'th term of 406, 834, 1262, 1690, 2118?
428*f - 22
What is the a'th term of 16, 7, -18, -65, -140?
-a**3 - 2*a**2 + 4*a + 15
What is the j'th term of 71, 98, 131, 170?
3*j**2 + 18*j + 50
What is the n'th term of -1156, -1162, -1172, -1186, -1204, -1226?
-2*n**2 - 1154
What is the l'th term of -15, -14, -11, -6, 1?
l**2 - 2*l - 14
What is the g'th term of 2000, 2018, 2048, 2090, 2144, 2210?
6*g**2 + 1994
What is the d'th term of -300, -1189, -2670, -4743, -7408, -10665?
-296*d**2 - d - 3
What is the j'th term of -142, -286, -434, -586?
-2*j**2 - 138*j - 2
What is the y'th term of -4763, -4765, -4767, -4769?
-2*y - 4761
What is the z'th term of -78, -80, -84, -90?
-z**2 + z - 78
What is the s'th term of 251, 250, 249, 248, 247, 246?
-s + 252
What is the r'th term of -259, -255, -251, -247, -243, -239?
4*r - 263
What is the v'th term of 26, 32, 52, 92, 158?
v**3 + v**2 - 4*v + 28
What is the b'th term of 237, 208, 179, 150, 121, 92?
-29*b + 266
What is the r'th term of 2853, 2859, 2855, 2835, 2793, 2723, 2619?
-r**3 + r**2 + 10*r + 2843
What is the p'th term of 14029, 14030, 14031, 14032?
p + 14028
What is the d'th term of 8, 24, 50, 86, 132?
5*d**2 + d + 2
What is the w'th term of 46, 76, 128, 202, 298?
11*w**2 - 3*w + 38
What is the y'th term of -141, -287, -435, -585, -737, -891?
-y**2 - 143*y + 3
What is the f'th term of -435, -872, -1309, -1746, -2183, -2620?
-437*f + 2
What is the d'th term of -713, -714, -715, -716, -717, -718?
-d - 712
What is the i'th term of -410, -412, -424, -452, -502, -580, -692?
-i**3 + i**2 + 2*i - 412
What is the h'th term of -22, -18, -12, -4, 6, 18?
h**2 + h - 24
What is the t'th term of -30, -71, -112, -153, -194, -235?
-41*t + 11
What is the b'th term of -909, -1827, -2743, -3657, -4569, -5479?
b**2 - 921*b + 11
What is the x'th term of 16, 36, 74, 136, 228?
x**3 + 3*x**2 + 4*x + 8
What is the i'th term of 751, 1499, 2247, 2995?
748*i + 3
What is the b'th term of 158, 332, 506, 680?
174*b - 16
What is the n'th term of -1, 12, 43, 92, 159?
9*n**2 - 14*n + 4
What is the j'th term of -163, -335, -519, -721, -947, -1203, -1495?
-j**3 - 165*j + 3
What is the p'th term of -155, -304, -453, -602, -751?
-149*p - 6
What is the z'th term of 113, 190, 269, 350?
z**2 + 74*z + 38
What is the k'th term of 164, 204, 292, 446, 684?
3*k**3 + 6*k**2 + k + 154
What is the m'th term of -10, -20, -42, -82, -146?
-m**3 - 3*m - 6
What is the m'th term of 64, 52, 42, 34, 28, 24?
m**2 - 15*m + 78
What is the x'th term of 366, 339, 274, 153, -42, -329?
-3*x**3 - x**2 - 3*x + 373
What is the i'th term of -26, -43, -74, -125, -202, -311?
-i**3 - i**2 - 7*i - 17
What is the c'th term of -11, -45, -93, -149, -207?
c**3 - 13*c**2 - 2*c + 3
What is the m'th term of 10, 2, -14, -44, -94?
-m**3 + 2*m**2 - 7*m + 16
What is the b'th term of -3838, -3835, -3820, -3787, -3730, -3643, -3520?
b**3 - 4*b - 3835
What is the h'th term of 13, 54, 111, 184, 273, 378, 499?
8*h**2 + 17*h - 12
What is the h'th term of 868, 1737, 2606, 3475, 4344?
869*h - 1
What is the h'th term of 63, 117, 163, 195, 207?
-h**3 + 2*h**2 + 55*h + 7
What is the a'th term of -340, -348, -356, -364, -372, -380?
-8*a - 332
What is the p'th term of 631, 623, 601, 559, 491, 391, 253?
-p**3 - p**2 + 2*p + 631
What is the w'th term of -2725, -2727, -2731, -2737?
-w**2 + w - 2725
What is the v'th term of -11261, -11259, -11247, -11219, -11169, -11091?
v**3 - v**2 - 2*v - 11259
What is the r'th term of -4, -10, -42, -112, -232?
-2*r**3 - r**2 + 11*r - 12
What is the t'th term of 21, 7, -17, -51, -95, -149?
-5*t**2 + t + 25
What is the w'th term of -22, -31, -32, -19, 14, 73, 164, 293?
w**3 - 2*w**2 - 10*w - 11
What is the p'th term of 7, 21, 45, 79?
5*p**2 - p + 3
What is the g'th term of -369, -1541, -3493, -6225, -9737?
-390*g**2 - 2*g + 23
What is the g'th term of 10342, 20685, 31026, 41365, 51702, 62037?
-g**2 + 10346*g - 3
What is the l'th term of -195, -171, -147, -123?
24*l - 219
What is the d'th term of -17, -10, -3?
7*d - 24
What is the b'th term of -84, -197, -372, -639, -1028, -1569?
-5*b**3 - b**2 - 75*b - 3
What is the s'th term of -6, -23, -40, -57, -74, -91?
-17*s + 11
What is the m'th term of -458, -464, -474, -488, -506, -528, -554?
-2*m**2 - 456
What is the c'th term of -538, -523, -484, -409, -286?
2*c**3 + c - 541
What is the f'th term of 550, 558, 556, 538, 498, 430, 328?
-f**3 + f**2 + 12*f + 538
What is the t'th term of 6, 17, 36, 69, 122, 201, 312?
t**3 - 2*t**2 + 10*t - 3
What is the x'th term of 51, 52, 55, 60?
x**2 - 2*x + 52
What is the w'th term of -4843, -9689, -14535, -19381, -24227, -29073?
-4846*w + 3
What is the k'th term of 84, 107, 166, 279, 464, 739, 1122, 1631?
3*k**3 + 2*k + 79
What is the v'th term of 57, 95, 133, 171, 209?
38*v + 19
What is the v'th term of 127, 168, 199, 214, 207?
-v**3 + v**2 + 45*v + 82
What is the q'th term of -7, -8, -9, -10, -11?
-q - 6
What is the n'th term of -316, -462, -608, -754?
-146*n - 170
What is the j'th term of 74, 108, 164, 242?
11*j**2 + j + 62
What is the d'th term of 94, 99, 104, 109, 114?
5*d + 89
What is the h'th term of -21, -80, -179, -318?
-20*h**2 + h - 2
What is the z'th term of 165, 363, 561, 759, 957, 1155?
198*z - 33
What is the n'th term of 12, 2, -26, -78, -160, -278, -438?
-n**3 - 3*n**2 + 6*n + 10
What is the g'th term of -189, -586, -1255, -2202, -3433?
-g**3 - 130*g**2 - 58
What is the l'th term of -994, -1987, -2980, -3973?
-993*l - 1
What is the p'th term of -288, -581, -874?
-293*p + 5
What is the j'th term of 48, 30, -12, -90, -216, -402?
-2*j**3 - 4*j + 54
What is the d'th term of 291, 581, 871, 1161, 1451?
290*d + 1
What is the j'th term of -31, -41, -51, -61, -71?
-10*j - 21
What is the h'th term of 2548, 2549, 2550, 2551, 2552?
h + 2547
What is the m'th term of -277, -549, -813, -1069, -1317?
4*m**2 - 284*m + 3
What is the q'th term of 82, 110, 156, 220, 302, 402?
9*q**2 + q + 72
What is the t'th term of -478, -1855, -4126, -7285, -11326, -16243?
t**3 - 453*t**2 - 25*t - 1
What is the c'th term of 10, 41, 90, 157, 242?
9*c**2 + 4*c - 3
What is the k'th term of 1, 18, 45, 82, 129, 186, 253?
5*k**2 + 2*k - 6
What is the d'th term of 85, 112, 139?
27*d + 58
What is the s'th term of 7, 31, 55, 79, 103, 127?
24*s - 17
What is the c'th term of -43, -97, -149, -199, -247, -293, -337?
c**2 - 57*c + 13
What is the i'th term of 12, 52, 116, 216, 364, 572, 852, 1216?
2*i**3 + 26*i - 16
What is the p'th term of 51, 95, 151, 225, 323?
p**3 + 37*p + 13
What is the z'th term of 225, 227, 229, 231, 233?
2*z + 223
What is the h'th term of -87, -83, -77, -69?
h**2 + h - 89
What is the h'th term of 0, 8, 24, 48, 80, 120, 168?
4*h**2 - 4*h
What is the b'th term of -16, -52, -114, -214, -364?
-2*b**3 - b**2 - 19*b + 6
What is the j'th term of -11, -20, -29, -38, -47?
-9*j - 2
What is the t'th term of -13007, -13008, -13009?
-t - 13006
What is the i'th term of -1, -13, -51, -127, -253, -441, -703, -1051?
-2*i**3 - i**2 + 5*i - 3
What is the v'th term of -30, -114, -254, -450, -702, -1010?
-28*v**2 - 2
What is the m'th term of 4, 2, -12, -44, -100?
-m**3 + 5*m
What is the h'th term of | {
"pile_set_name": "DM Mathematics"
} |
4*m + 4, -5*i + m = -c. Solve -3*h + 11 = i for h.
3
Suppose -3*n + 5*d + 37 = n, n + 5*d = 3. Suppose -a + 3 = -5*o - 3, -3*o - n = -5*a. Let u be -1 - ((-11)/4 + o/4). Solve -9 + 3 = -u*y for y.
3
Suppose -10*t - 5 = -11*t. Suppose 2*k = -2*c + 4, -k - t = -4. Let w(s) = 2*s - 6. Let x be w(c). Solve x = -z - 2*z - 15 for z.
-5
Let y(i) = -107*i**2 - 640*i + 14. Let a be y(-6). Solve -40*j - a = -39*j for j.
-2
Suppose 0 = 69*v - 58*v + 187. Let f be (-2)/(-3) - v/(204/16). Solve -f*q + 6*q = 8 for q.
2
Suppose -22*h - 12*h + 7089 = -3383. Solve -h*a - 30 = -313*a for a.
6
Let m = 9 - 2. Let q(d) = -d + 9. Let a be q(m). Suppose 3*o + 0*l - 2*l - 12 = 0, -a*o - 4*l = -24. Solve -x = x + o for x.
-3
Let z = -8672 + 8771. Solve -z = -9*x - 72 for x.
3
Let v = 31449 + -31179. Solve v = 22*w - 52*w for w.
-9
Let v be 2244/154 + 6/14. Suppose 20*x - 1 = 3*u + v*x, -2 = -x. Solve -t + u = -2*t for t.
-3
Let g(l) = 86*l**2 + l + 2. Let s be g(-1). Suppose s + 39 = 3*t. Let n = t + -42. Solve n*o - 5 = o for o.
-5
Let t = 5 - 52. Let k = t + 51. Let r(f) = -f**2 + 19*f + 45. Let x be r(21). Solve -k*y - 3 = -x*y for y.
-3
Suppose -6*z = -63 - 111. Let s = 29 - z. Let i = 515 + -515. Solve i = -s*g - 5*g + 10 for g.
2
Suppose -725*n + 730*n = -45. Let b be (5/(30/n))/((-15)/20). Solve -4*a + 6 = -b*a for a.
3
Let g be -27*((-21)/(-9) + -3). Let f = g + -13. Suppose -f*c + 3 = -7. Solve c*b - 5 = 1 for b.
3
Let d = 13 + -7. Let j be 27*(-42)/(-1170) - 136/(-4420). Solve 5*n - j = -d for n.
-1
Suppose -9*d - 5 = -4*d, d + 1 = -5*h. Suppose 7*z - 12*z = h. Solve z = r - 1 + 2 for r.
-1
Let w be 34/11 - 1/11. Suppose w*v = -0*c + 4*c + 114, 152 = 4*v + 3*c. Solve -q = -36 + v for q.
-2
Suppose 2*y - 14 = -0*y. Suppose -3*q - 2 = 3*k + 10, 0 = -2*k - 10. Let r be (-7)/y*((3 - q) + -2). Solve h = -r*h for h.
0
Let n(p) = 3*p + 80. Let z be n(-28). Let r be (1 - (-9 - 5)) + z. Solve 8*u - r*u + 3 = 0 for u.
1
Let z = 1 + -20. Let w be (2/2)/((-24)/240). Let r = w - z. Solve -r = -3*g - 0 for g.
3
Let y(t) = 3*t + 8. Let i be y(-1). Suppose 2*h + 7 = 7. Solve -i*l + h = -15 for l.
3
Let r be 2/8*(2 - 2). Let y be (124 + (-6 - -6))*2/4. Suppose -63*b + y*b = -4. Solve -b = 2*f - r for f.
-2
Suppose l + 5*a - 20 = 0, 5*l - 910 + 902 = -2*a. Let q(j) = j**3 + 6*j**2 + 4. Let r be q(-6). Solve l*m + r*m - 16 = 0 for m.
4
Suppose 0*w - 99 = -11*w. Suppose -q = 9 - w. Solve 2*f = -q + 2 for f.
1
Let p(g) = -g - 2. Let u be p(-4). Suppose 4*k + 0*a = -a - 573, 0 = -3*k + 3*a - 411. Let f = -131 - k. Solve u*i = f - 1 for i.
5
Let l(i) = -15*i**3 + i**2 - 2*i + 1. Let c be l(1). Let b = -904 + 923. Let s = b + c. Solve -s = n - 3 for n.
-1
Suppose -3*k = -2*k + 259. Let p = k + 261. Solve 4*w + 6 = -p for w.
-2
Let k(l) = -20*l - 73 - l**2 + 97 + l - 53. Let h be k(-17). Solve 2*s - h = 7*s for s.
-1
Let o be (-9)/((-27)/(-6)) - -2. Suppose 2*w + 7 - 49 = o. Suppose w*c = 24*c - 36. Solve -3*b + c = -0*b for b.
4
Suppose 0 = 15*o - 14*o - 2*c + 6, -2 = o - c. Solve o*q = 9 - 3 for q.
3
Suppose -3 = -0*v - v. Let l be 16*30/48 + -5. Solve -28 = -l*m - v for m.
5
Let v be 2/8 + 177/236. Solve v = 86*x - 85*x for x.
1
Let s(l) be the first derivative of l**4/4 + 4*l**3 + 9*l**2/2 - 10*l + 978. Let g be 0 + -11 - -1 - 1. Let o be s(g). Solve 4*j + o - 4 = 0 for j.
-2
Suppose -f - 6 = 1. Let o = -17 + 24. Let c = o + f. Solve c*u = -5*u for u.
0
Suppose -268*p - 267*p = -123*p - 8240. Solve -4*t = 36 - p for t.
-4
Let n(b) = -b**3 - 97*b**2 - 3*b - 138. Let z be n(-97). Solve 0 = z*i - 120*i for i.
0
Let j(p) = -16*p**2 + 4*p + 2. Let v be j(-1). Let y be (-166)/v + 10/(-180)*4. Solve -5*a + 4 = y for a.
-1
Suppose 0 = -5*n - 2*g + 65, n + g - 36 = -4*g. Suppose 0 - 8 = -4*c, 4*o - 2*c - 24 = 0. Suppose -24 = o*a - n*a. Solve -4*s = -2*s + a for s.
-3
Suppose 13 = 2*q - 7. Let g = q + 15. Solve 3*h + g = 8*h for h.
5
Let d = 227 + 92. Let h = -281 + d. Solve h - 26 = -3*m for m.
-4
Let r = -592 - -597. Suppose 0 = -2*v - 4*x + 2, -4*v - r*x + 8 = -x. Solve -6 = -v*y + 6 for y.
4
Let y(x) = -x**2 + 10*x - 21. Let i(v) = -v**2 + 11*v - 21. Let l(f) = -4*i(f) + 3*y(f). Let n be l(14). Suppose 7*a - n = 4*a. Solve -2*p = -a*p for p.
0
Let b = 2830 - 2797. Let h be 2/8 + 9/(-4). Let q be h/(-6) + 121/b. Solve -w - q*w = -15 for w.
3
Suppose -5*r = 5*z + 135, -2*z = -0*r + r + 52. Let y be 1/3 + (-46)/(-6). Let k be (y/10)/((-5)/z). Solve 5*i + k = 3*i for i.
-2
Suppose 5*a - 2057 = -2*m, 379 = 5*m - 4*a - 4648. Solve -7*p = -997 + m for p.
-2
Let f(y) = -2*y**3 + 21*y**2 + 9*y + 25. Suppose 5*r - 11*a - 49 = -8*a, -51 = -5*r + 2*a. Let j be f(r). Solve -5*n = -j*n for n.
0
Suppose 28*j - 372 = 468. Suppose 0 = 7*s - 6*s + 5*g - 22, 3*s - j = -3*g. Solve 3*b - s*b = 8 for b.
-2
Let i = -5 - -7. Suppose -158 = -11*n - 70. Suppose -6*j = -4*j. Solve -i*t - 2*t + n = j for t.
2
Let a(s) = -s**3 - 6*s**2 - 4*s + 5. Let n be a(-5). Suppose 2 = -3*c + 14, 0 = 2*r - 5*c + 16. Let y be r/5 + 168/105. Solve n = 5*j - y - 3 for j.
1
Let w = 0 - -2. Suppose 90*u - 114*u + 120 = 0. Solve -u*c = -7*c + w for c.
1
Suppose -4 = 2*c - 3*c, 0 = -4*h - 2*c + 44. Let l(t) = 10*t + 36. Let o be l(h). Let x = o - 122. Solve x*u - 4 = -0*u for u.
1
Suppose -3*q = 4*f - 24, -191*q + 186*q - 3*f = -51. Let k = -9 + 13. Solve a - k*a = q for a.
-4
Suppose -o - 4 + 45 = 0. Suppose 0 = -2*t - 25 + o. Solve 0 = -t*j + 13*j + 5 for j.
-1
Suppose -47*f + 243*f = 0. Let n(x) = x**2 - 8*x. Let b be n(8). Solve f = -y - b + 2 for y.
2
Suppose 0 = -9*w + 11*w - 8. Suppose -16 = -w*g - 2*d, -5*g - d + 0 + 14 = 0. Suppose -2*y - 5*j + g*j + 1 = 0, 5 = y - 3*j. Solve -3 = -5*r + y for r.
1
Let y(x) = -x**2 - 3*x + 1. Let f be y(-3). Let z be 8/2 + 7 + -25 + -5. Let u = 21 + z. Solve -r + u = f for r.
1
Suppose 113*u = -88*u - 276*u + 49608. Solve 0 = 15*o - 31 - u for o.
9
Let n be 54/(-12)*6/(-9). Suppose -3*v = 4*d + 2*v - 275, n*d - 192 = v. Let o be 4/10 - (-2 - d/25). Solve o*a = 2*a - 6 for a.
-2
Let z be ((-204)/9 + 24)*(-114)/(-8). Solve -58 = z*u + 75 for u.
-7
Let h(d) = -d**2 + 9*d - 6. Suppose 0 = -x - 3*x + 12. Suppose 21 = x*m - 3*y, 23 = 4*m - 0*y + y. Let n be h(m). Solve -n = l - 4*l for l.
4
Suppose 8*v = 6*v - 6. Let s be 26 - (7 - (v + 6)). Suppose 5*t - s = -5*n + 2*n, 4 = -2*t + 2*n. Solve -t = l + 3 for l.
-5
Suppose 517 = 3*l - 3*k + 169, l - 3*k - 102 = 0. Solve -126*u = -l*u for u.
0
Let m be (15/(-4))/(189/(-36) - -5). Suppose -37*r + m*r + 330 = 0. Solve -2*x - r = x for x.
-5
Let b(c) = 10*c + 331. Let d be b(-30). Solve -40*o + 45 = -d*o for o.
5
Let u be 10/35 - 6464/(-14). Solve u*s + 15 = 459*s for s.
-5
Suppose 36 = -3*i + 2*u + 8, 5*i = -u - 25. Let n be (-1 - (-188)/(-8)) + 9/i. Let a be n/(-7) - 2/(-7). Solve a*k = -k for k.
0
Suppose -148*w = -408 - 924. Solve 6*a - 3 = w for a.
2
Let h(w) = 492*w - 1951. Let m be h(4). Suppose -2*q + 16 = 6, 0 = -3*z - 5*q + 31. Let r = z - -2. Solve -m = -r*f - 1 for f.
4
Suppose 0 = -2*t - 3*c + 159, 6*t - 9*t - 4*c + 237 = 0. Let a = t + -72. Solve -a*v - 5*v = -8 for v.
1
Let m(w) = -w - 19. Let s be m(-19). Let a(n) = 10*n - 30. Let x be a(6). Solve 6*r + s*r - x = 0 for r.
5
Let z(o) be the first derivative of 3*o**2/2 + 16*o - 5. Suppose -40*y + 38*y = -10, -15 = 4*n + y. Let l be z(n). Solve 2*j - 9 = -l for j.
4
Suppose 3*l - 6*o - 27 = -3*o, -2*l - 2*o = 10. Solve 0 = 55*z - 54*z - l for z.
2
Suppose b + 115 - 177 = -5*p, 0 = 5*p + 2*b - 64. Solve 0 = 2*i - 14*i - p for i.
-1
Let c(w) = 7*w - w - 8*w - 10 + 8*w. Let o be c(0). Let d = 10 - o. Solve u = 6*u + d for u.
-4
Let f be (12/(-2))/(122/11651). Let t = f - -581. Let h = 16 - -9. Solve 3*l - t*l + h = 0 for l.
5
Let d(t) be the third derivative of -t**6/120 - 3*t**5/10 - 2*t**4/3 + 7*t**3/2 + 3*t**2 - 1. Let g be d(-17). Solve 0 = g*j - 3*j + 3 for j.
-3
Let j(w) = 9*w - 52. Let y be j(6). Suppose 2*u - 4 + y = 0. Let h be 7/((-35)/(-25)) + u. Solve p - h = -p for p.
3
Let g(a) = -7*a**2 + 482*a - 2172. Let s be g(64). Let x be 1196/10 - (-4)/10. Let y be (-4)/(-14) + x/21. Solve s*b = y*b - 6 for b.
3
Suppose 26*y - 22*y - 104 = 0. Suppose 2*n - 20 = -4*z, -2*z - 3*z + y = 3*n. Suppose 2*b = 2*c - 4, -3*b + 0*b + z*c - 10 = 0. Solve -3*a + 5 = -b*a for a.
5
Let h(k) be | {
"pile_set_name": "DM Mathematics"
} |
+ 3*sqrt(2)
Simplify 3 + 1*sqrt(14)/sqrt(2).
sqrt(7) + 3
Simplify (sqrt(19) + (sqrt(19) - (-3 + sqrt(19)*-5)))**2*-1.
-940 - 42*sqrt(19)
Simplify 4*((sqrt(30)/sqrt(5))/sqrt(2) + sqrt(147)*-2 + sqrt(147)).
-24*sqrt(3)
Simplify sqrt(228)/(sqrt(132)/(sqrt(11)*2 + sqrt(11))).
3*sqrt(19)
Simplify ((sqrt(270) + -2*sqrt(270))/sqrt(9))/(1*sqrt(96)).
-sqrt(5)/4
Simplify (((sqrt(153) - sqrt(153)*2)*-3 - sqrt(153)) + sqrt(153) + sqrt(153))/(sqrt(63)/(sqrt(7)*-1)).
-4*sqrt(17)
Simplify -1 + 1*sqrt(539)*-2.
-14*sqrt(11) - 1
Simplify sqrt(88)/sqrt(11)*-2.
-4*sqrt(2)
Simplify sqrt(72) + 3 - (sqrt(2) - (sqrt(8)/sqrt(4)*-4)**2).
5*sqrt(2) + 35
Simplify (2*sqrt(25)/sqrt(5) - (2*sqrt(30))/sqrt(6))*5.
0
Simplify -4*(2 + sqrt(8)).
-8*sqrt(2) - 8
Simplify 3*sqrt(425)*-1.
-15*sqrt(17)
Simplify sqrt(65)/(sqrt(15)/sqrt(3)) + 3.
3 + sqrt(13)
Simplify -5 + 0 + (1*sqrt(288))**2 + 5.
288
Simplify -5*(-3 + (2*sqrt(2) + 4)**2).
-80*sqrt(2) - 105
Simplify 1*sqrt(114)/(sqrt(864)*2).
sqrt(19)/24
Simplify (-5 + (sqrt(16)/(sqrt(16)/sqrt(2)) - sqrt(2))*-4)**2 + 2.
27
Simplify 1*sqrt(25)/sqrt(605).
sqrt(5)/11
Simplify (-4*1*sqrt(17))**2 - (sqrt(17) + 2)*1.
-sqrt(17) + 270
Simplify sqrt(28) + (((-1*sqrt(168) - sqrt(168)) + sqrt(168))/sqrt(6))**2 - ((sqrt(28) - (sqrt(84)*2)/sqrt(3)) + sqrt(28))**2.
2*sqrt(7) + 28
Simplify (sqrt(325)*-2*5)**2.
32500
Simplify ((sqrt(48)/sqrt(2) - sqrt(24))/sqrt(4) + sqrt(6))/(sqrt(128)*-2 - sqrt(2)).
-sqrt(3)/17
Simplify 3 + (-5 + -1 + sqrt(612))**2 + sqrt(612).
-66*sqrt(17) + 651
Simplify -2 + (5*(sqrt(11) - sqrt(275)) - sqrt(11)).
-21*sqrt(11) - 2
Simplify sqrt(1216) - (5*4*sqrt(1216))**2 - sqrt(1216).
-486400
Simplify 0 + (sqrt(567) - 4*-2*sqrt(567)).
81*sqrt(7)
Simplify -2*(sqrt(272) + (1*sqrt(272))**2 + -5).
-534 - 8*sqrt(17)
Simplify sqrt(57)/(sqrt(3)*2*-6).
-sqrt(19)/12
Simplify sqrt(76)/(sqrt(44)/(sqrt(11) + sqrt(176))).
5*sqrt(19)
Simplify -5 + (-2*sqrt(153) + 4)**2*5.
-240*sqrt(17) + 3135
Simplify sqrt(19) + (sqrt(95)/sqrt(5))**2 + 0 + 1 + (sqrt(19) + -2)**2.
-3*sqrt(19) + 43
Simplify (sqrt(98) + -1)**2 - (sqrt(72) + 0).
-20*sqrt(2) + 99
Simplify (4*sqrt(24))/sqrt(8) + (sqrt(3) - (-1 + 2 + sqrt(3))).
-1 + 4*sqrt(3)
Simplify -2 + sqrt(468) + 2.
6*sqrt(13)
Simplify ((sqrt(10)*2)/sqrt(5) + 2 + sqrt(2) + sqrt(8)/sqrt(4))**2.
16*sqrt(2) + 36
Simplify 3 + sqrt(72) - ((-1*sqrt(288) - sqrt(2))**2 - sqrt(2)).
-335 + 7*sqrt(2)
Simplify 4 + sqrt(17)*-5*5.
-25*sqrt(17) + 4
Simplify (-2*(sqrt(99)*-2 + sqrt(99)))/(sqrt(36)/sqrt(16)).
4*sqrt(11)
Simplify sqrt(119)/(1*sqrt(343) - sqrt(343) - sqrt(343)).
-sqrt(17)/7
Simplify (sqrt(30)/sqrt(10)*1 + 5)**2.
10*sqrt(3) + 28
Simplify 3 + sqrt(143)/sqrt(44)*-1 + 2.
-sqrt(13)/2 + 5
Simplify (sqrt(72) - (sqrt(72) + 0 - sqrt(72)))**2 + 5 + sqrt(4)/sqrt(2).
sqrt(2) + 77
Simplify (6*(-2*sqrt(175) - sqrt(175)) + -2)**2.
360*sqrt(7) + 56704
Simplify (3*1*sqrt(77))/((sqrt(245)/sqrt(5))/sqrt(7)).
3*sqrt(11)
Simplify 3*(sqrt(175) + (((sqrt(175) - (sqrt(175) - (sqrt(175) + -2))) + sqrt(175))**2 - sqrt(175))).
-120*sqrt(7) + 2112
Simplify -3 + sqrt(26)/(sqrt(128)/sqrt(4)).
-3 + sqrt(13)/4
Simplify (-2*sqrt(126))/(sqrt(21)/sqrt(27)).
-18*sqrt(2)
Simplify (sqrt(3200) + (sqrt(3200) - (sqrt(3200) + 1) - sqrt(3200)) + -1 + sqrt(3200) + 0 + 1*sqrt(3200))**2.
-320*sqrt(2) + 12804
Simplify 2 + (sqrt(128)*-1*-6)**2.
4610
Simplify ((4*sqrt(130)*4)/(sqrt(10) + (sqrt(10) - 2*sqrt(490))))**2.
208/9
Simplify (sqrt(84)*2 + sqrt(84))/sqrt(12) + 3.
3 + 3*sqrt(7)
Simplify 2*(-1*sqrt(10)*2)/(sqrt(2)*-2*3).
2*sqrt(5)/3
Simplify sqrt(153)/(sqrt(36)/sqrt(4))*4.
4*sqrt(17)
Simplify sqrt(136)/(-3*(sqrt(8) - -4*sqrt(8))).
-sqrt(17)/15
Simplify ((1 + sqrt(128) - sqrt(2)) + sqrt(128) + 1*sqrt(128) + 5)**2 + -4.
276*sqrt(2) + 1090
Simplify -4*(sqrt(25) - -4*(sqrt(25) - sqrt(100)) - sqrt(25))/sqrt(5).
16*sqrt(5)
Simplify (1 + sqrt(448))**2 - -4*(2 + sqrt(7)).
20*sqrt(7) + 457
Simplify -2 + (sqrt(175) - (sqrt(175)*-1)**2) - sqrt(175)*2*-1.
-177 + 15*sqrt(7)
Simplify sqrt(12)*2 + -3.
-3 + 4*sqrt(3)
Simplify sqrt(5)*-1 + 1 + sqrt(5) + sqrt(20) + -1.
2*sqrt(5)
Simplify 2 + sqrt(275) + (sqrt(99)/(sqrt(225) + sqrt(9)))**2.
83/36 + 5*sqrt(11)
Simplify 0 + sqrt(180) + 2*sqrt(180)*1.
18*sqrt(5)
Simplify 1*(sqrt(11) - (-1 + sqrt(77)/sqrt(7)))**2*1.
1
Simplify 2 + sqrt(112)/sqrt(4).
2 + 2*sqrt(7)
Simplify ((sqrt(19) - (1 + sqrt(2299))) + sqrt(95)/sqrt(20))**2*-2.
-6863/2 - 38*sqrt(19)
Simplify (sqrt(76) + sqrt(76) + 4*(sqrt(76)*-2 + sqrt(76)))/(-3*sqrt(4)*1).
2*sqrt(19)/3
Simplify (sqrt(132)/(sqrt(12) - sqrt(48)))**2 + 0.
11
Simplify (1 + sqrt(720) - sqrt(5) - -1*sqrt(125))**2.
32*sqrt(5) + 1281
Simplify -1 + -1*sqrt(500) + 2.
-10*sqrt(5) + 1
Simplify 2*sqrt(57)/(sqrt(3) + sqrt(3) + sqrt(27)/sqrt(9) + sqrt(3)).
sqrt(19)/2
Simplify sqrt(208) + sqrt(208)*1 + -1*-4*sqrt(13).
12*sqrt(13)
Simplify ((sqrt(117) + 1 - sqrt(117)) + sqrt(117) + sqrt(117))**2 + -3 + ((sqrt(117) + sqrt(117)*-1 - sqrt(117))*-6)**2.
12*sqrt(13) + 4678
Simplify 1*(-2 + sqrt(52)/sqrt(4)).
-2 + sqrt(13)
Simplify (sqrt(30)/sqrt(6) + sqrt(5) + 0 + 3 + sqrt(30)/sqrt(6))**2.
18*sqrt(5) + 54
Simplify (sqrt(2) + sqrt(162)/sqrt(9))**2*-2.
-64
Simplify 2 + (sqrt(243) + 1)*6.
8 + 54*sqrt(3)
Simplify (sqrt(77) + 2*sqrt(77)*-1 + sqrt(77))/((sqrt(11) - (-1*sqrt(88) - sqrt(88) - sqrt(88))/sqrt(8)) + sqrt(11)).
0
Simplify sqrt(39)/((sqrt(135)/sqrt(5))/sqrt(9)).
sqrt(13)
Simplify 2 + -2 + sqrt(11)*-2.
-2*sqrt(11)
Simplify ((-3*sqrt(120) + sqrt(120) + sqrt(120))/sqrt(8))/sqrt(5).
-sqrt(3)
Simplify (sqrt(162) - (sqrt(162)*-4 - sqrt(162)))*5.
270*sqrt(2)
Simplify 2 + (1*(sqrt(243) + -1) + sqrt(243) + sqrt(243))**2.
-54*sqrt(3) + 2190
Simplify 3*(sqrt(2057) + -5*(0 + sqrt(2057) + sqrt(2057))).
-297*sqrt(17)
Simplify (sqrt(14) - sqrt(224))/sqrt(7) + 3 - -2*(sqrt(2) + 1 + sqrt(2))*-2.
-11*sqrt(2) - 1
Simplify (((sqrt(99) + sqrt(99) + -1 - sqrt(99))*6)**2 + -5)*-3.
-10785 + 648*sqrt(11)
Simplify (sqrt(720) + -3*(sqrt(720) + -1) - ((-4*(1*sqrt(720) + sqrt(720)) - sqrt(720)) + sqrt(720)))**2.
432*sqrt(5) + 25929
Simplify sqrt(9)/(sqrt(3)*-3*-5).
sqrt(3)/15
Simplify 1*sqrt(99) + 3.
3 + 3*sqrt(11)
Simplify sqrt(16)/(-2*sqrt(800)) - (2*sqrt(2)*-6 + -2*(1 + sqrt(2)))**2.
-396 - 1121*sqrt(2)/20
Simplify (2 + sqrt(252) - sqrt(252)) + (sqrt(63) + sqrt(1008) - sqrt(63)).
2 + 12*sqrt(7)
Simplify (((sqrt(88) + sqrt(88) + sqrt(88)*-2 + sqrt(88) + sqrt(88))*5)/sqrt(8))**2.
1100
Simplify (4 + ((3*(sqrt(77) - sqrt(77)*-1))/sqrt(11))**2)*-4.
-1024
Simplify (-3 + sqrt(2) + -3)**2*4*-1.
-152 + 48*sqrt(2)
Simplify (sqrt(1782)*4)/sqrt(11).
36*sqrt(2)
Simplify 1 + -1 + (sqrt(32))**2 + -3.
29
Simplify 1 + -2*(sqrt(2736) + 1 + sqrt(2736))**2.
-21889 - 96*sqrt(19)
Simplify (-1*sqrt(171))/sqrt(9) + 4 + 2.
-sqrt(19) + 6
Simplify (4 + (sqrt(2) + 1 + sqrt(2))**2)*-1 - (-2*sqrt(8) - (1*sqrt(162))**2).
149
Simplify ((sqrt(2) - (1 + sqrt(2) - sqrt(2)))*-6)**2 - (sqrt(2) - (2*sqrt(50))**2).
-73*sqrt(2) + 308
Simplify 3*(5 + (-1*(sqrt(128) + -1 + sqrt(128)))**2).
-96*sqrt(2) + 1554
Simplify ((sqrt(85) - (sqrt(85) + sqrt(85)*1))*-1 + sqrt(85))/(sqrt(20)/sqrt(4)*4).
sqrt(17)/2
Simplify sqrt(448) + 0 - sqrt(448) - (sqrt(252)*-2 + sqrt(7))**2.
-847
Simplify -4 + (1 + (sqrt(2299) - (-1 + sqrt(2299))) + (sqrt(2299) - (-2*sqrt(2299) + sqrt(2299))*6))**2.
308*sqrt(19) + 112651
Simplify (6*(-1 + (sqrt(208) - sqrt(13))))**2.
-216*sqrt(13) + 4248
Simplify sqrt(112)*1 - sqrt(21)/(sqrt(3)*1).
3*sqrt(7)
Simplify (-4*sqrt(136)*1)/(sqrt(56)/(sqrt(28)/sqrt(4))).
-4*sqrt(17)
Simplify (sqrt(160)*3 + sqrt(10))/(sqrt(2) - (sqrt(2) + sqrt(4)/sqrt(2))*4).
-13*sqrt(5)/7
Simplify 5*(sqrt(891) + -2).
-10 + 45*sqrt(11)
Simplify (sqrt(45) + -3 - (sqrt(80)*-2 + sqrt(80)))**2.
-42*sqrt(5) + 254
Simplify (sqrt(425) - -6*sqrt(425)*1)**2 - sqrt(153)/(sqrt(9)*-1)*-3.
-3*sqrt(17) + 20825
Simplify ((sqrt(162)/sqrt(9) - (sqrt(2) + (sqrt(2) - sqrt(4)/sqrt(2))*5)) + -1)**2.
-4*sqrt(2) + 9
Simplify -2 + (sqrt(1300) - (2*sqrt(1300) + -1)).
-10*sqrt(13) - 1
Simplify 1*(2 + sqrt(112))**2.
16*sqrt(7) + 116
Simplify (2 + -3 + (-2*sqrt(468) - sqrt(468)))**2.
36*sqrt(13) + 4213
Simplify sqrt(500) - 6*(1 + sqrt(500))**2.
-3006 - 110*sqrt(5)
Simplify sqrt(76)/(-5*sqrt(16)).
-sqrt(19)/10
Simplify 1*(sqrt(13) + (sqrt(13) - sqrt(26)/sqrt(2))) + 0 + 0 + sqrt(13).
2*sqrt(13)
Simplify -2*sqrt(12)/(sqrt | {
"pile_set_name": "DM Mathematics"
} |
uppose -138 = -n + 3*b, 4*n - 2*b - 45 = 557. What is the hundreds digit of n?
1
Suppose 5*i + 6*f + 49 = 3*f, 0 = 2*i - 5*f + 1. Let a = i + 6. What is the units digit of 60/25 + a/5?
2
Suppose -2*c - 3*c + 78 = -4*o, 3*o - 99 = -5*c. What is the tens digit of c?
1
Let g = 30 + -22. Suppose -g - 20 = -7*w. What is the units digit of w?
4
Suppose -30 = -3*a - m, -m - 2*m + 54 = 5*a. Let i = 31 - a. What is the tens digit of i?
2
What is the units digit of (-294*(-2)/(-3))/(-2)?
8
Let p be (-73)/(-4) + 2/(-8). Suppose -3*s + 4*r + p = -2*s, -4*r = s - 34. What is the tens digit of s?
2
Suppose f = 3*f. Let n(m) = m**2 + m - 1. Let h be n(1). What is the units digit of 1*h/(f - -1)?
1
Let d(g) = 2*g - 3. Let t be -2*-2*(1 - 0). What is the units digit of d(t)?
5
Let c = -3 + 8. Suppose -2*v + c*v - 39 = 0. What is the tens digit of v?
1
Suppose 0 = -4*n - 3*i + 77, -2*i = -0*n + 5*n - 105. Let v = n - 6. What is the units digit of v?
7
Let m be 201/12 + 3/(-4). Let j = -11 + m. What is the units digit of (0 + -1)*(j - 15)?
0
Let g(u) = u**3 - 3*u + 2. Let r be g(2). Suppose -r*k + 35 = 7. What is the units digit of k?
7
Let r(a) = 10*a**2 - 3*a + 1. What is the tens digit of r(3)?
8
Let i(n) = 14*n**2 - n - 5. What is the tens digit of i(3)?
1
Let z(n) be the third derivative of 0*n**4 + 19/120*n**6 + 0 + 0*n**5 + 2*n**2 + 0*n**3 + 0*n. What is the tens digit of z(1)?
1
What is the units digit of ((-51)/12)/(6/(-24))?
7
Let r = 0 - 0. Let z(l) = -l**2 - l - 2. Let a be z(r). Let b(y) = 2*y**2 + 1. What is the units digit of b(a)?
9
Suppose -2*j = 2*j - 3*w - 4, 2*w = 3*j - 4. Suppose 198 = 2*s + 3*s + 2*i, 4*s - 168 = -j*i. Suppose 5*b - 42 = s. What is the units digit of b?
6
Let h(m) = m**3 - 4*m**2 + 2*m - 4. Let j be h(4). Suppose 0*r = 3*k - j*r - 101, 3*k + 4*r - 133 = 0. What is the units digit of k?
9
Suppose -5*a = -4 + 24. Let j = 28 + a. Let f = j + -13. What is the units digit of f?
1
Let o(v) = -11*v**3 + 2*v**2 + 2*v + 1. Let q = 1 + -2. What is the units digit of o(q)?
2
Let b = 13 + 9. What is the units digit of (3 - 1) + b/1?
4
Let m(o) = -3*o. Let b be 3 - 3 - 3/3. Let n be m(b). Suppose -n*c = c - 20. What is the units digit of c?
5
Let j(z) = z**2 + 1. Let l(i) = 3*i**2 + 9*i - 1. Let p(q) = -4*j(q) + l(q). Let a be p(8). Suppose -a*g + 20 = -g. What is the units digit of g?
0
Suppose 4*v - 6*v = -2*i - 348, -4*v = -i - 696. What is the hundreds digit of v?
1
Suppose -453 = -4*i + 627. Suppose 4*q + q = i. What is the tens digit of q?
5
Let n = 35 - -6. What is the tens digit of n?
4
Suppose -4*g - 2*u + 894 = 0, 3*u + 1110 = 5*g - 2*u. What is the tens digit of g?
2
Let q be 2 + 1 + -1 + -5. Let g = 13 + q. What is the tens digit of g?
1
Let w = 88 + 26. What is the units digit of w?
4
Let r(u) = u**2 + 12*u + 10. Let o be r(-11). What is the units digit of o*(3 - 0 - 16)?
3
Suppose -h + 38 - 14 = 0. What is the tens digit of h?
2
Let y be 9 - (3 - 3 - 1). Let u = y + -6. Suppose 0 = -2*p + 2*c, -2*c - c - u = -5*p. What is the units digit of p?
2
Suppose 4*k = 15 - 3. What is the units digit of k?
3
Let b = 152 - 100. What is the tens digit of b?
5
Let s = -5 + 9. Suppose -4*n + 3*n = -s. Let g = n - -1. What is the units digit of g?
5
Let r = 3 + 0. Let u = r - 0. Suppose 24 = 2*v + v - u*g, -2*g - 31 = -5*v. What is the units digit of v?
5
Suppose 0 = -5*u + 5*r + 10 + 60, 5*u + 5*r = 70. What is the units digit of u?
4
Let n = -65 + 78. What is the tens digit of n?
1
Suppose 65 = 4*m - 19. Suppose -k + 2 = -m. What is the units digit of k?
3
Let j be ((-6)/9)/(2/(-6)). Suppose j*z = 5*y - 28, 3*y - 24 = -z + 4*z. Suppose y = 4*c - 12. What is the units digit of c?
4
What is the units digit of (-605)/(-22) - (-2)/4?
8
Let f = 490 + -338. What is the units digit of f?
2
Let j(t) = -t**2 + 2*t + 56. What is the tens digit of j(0)?
5
Let p(i) = -i + 2*i**2 - 2*i**2 + 2 + i**2. What is the units digit of p(3)?
8
Suppose 4*i + 2*f = 52, -5*i + 48 = 3*f - 19. Suppose 5*b = -3*v + 9, 5*v - 4 = -2*b + i. Suppose 15 = 3*t, 4*t = -r + v*r + 8. What is the units digit of r?
6
Suppose 0*k - 6*k + 702 = 0. What is the units digit of k?
7
Let k = -17 + 29. What is the tens digit of -4*(k/(-3) + 0)?
1
Suppose 0 = 4*h + 4*l - 20, -3 = 4*l + 5. What is the units digit of h?
7
Let a(k) = -2*k + 4. Let x be a(3). Let u be 3/9 - x/(-6). Suppose 4*c = u, -q + 3 - 1 = 2*c. What is the units digit of q?
2
Suppose -2*m + 524 = -x, 3*m - x = -4*x + 768. What is the units digit of m?
0
Let m(r) = r**2 - 3*r - 3. Let i be m(-2). Suppose -i = l - 5*l + n, -2*n = 6. What is the units digit of 2*3*l/3?
2
Let h be (-38)/4 - (-2)/(-4). Let j = h + 8. What is the units digit of 3/j*168/(-18)?
4
Let z = 42 - 24. Suppose 4*f - 56 = 2*f + i, 0 = -3*i + 6. Let b = f - z. What is the tens digit of b?
1
Let v = 27 - 33. What is the units digit of 238/5 - v/15?
8
Suppose -17*y + 12*y = -10. Suppose y*r - 40 = -0*r. What is the units digit of r?
0
Suppose 0 = -j - d + 2, -7 - 1 = -3*j - 5*d. Suppose 0*v = -v + j. What is the units digit of v?
1
Suppose 0*u + 168 = 4*q + 4*u, 0 = 5*q + 2*u - 198. What is the tens digit of q?
3
Suppose -3*w + 188 = w - 5*r, 3*w + 4*r = 141. Let a = w + -22. What is the units digit of a?
5
Let p(v) = 4 - 2*v + 3 + 2 + v**2 - 1. What is the tens digit of p(7)?
4
Suppose -383 = -4*f + 289. What is the tens digit of f/10 + 1/5?
1
Let v be (7*52)/2 + 0. Suppose 3*c - 1650 = 3*j, 2*c + j - v = 927. What is the tens digit of 2/(-7) - c/(-49)?
1
Let h(j) = -2*j + 1. Let a be h(-2). Suppose u - 13 = 2*k, u + a*k + 7 = 2*k. What is the units digit of u?
5
Let x(v) = -3*v**2 - 4*v - 2. Let t be x(-4). Let i = 47 + t. What is the units digit of i?
3
Let y = 27 + -6. Let g(l) = -l**2 - 15*l - 27. Let m be g(-13). Let n = m + y. What is the units digit of n?
0
Suppose 14*z + 30 = 19*z. What is the units digit of z?
6
Let f(a) = -14*a + 3. What is the units digit of f(-5)?
3
What is the tens digit of (-199)/(-1) - -1*(9 - 5)?
0
Let h be (-468)/(-81) + (-2)/(-9). Let y = 4 - 0. Suppose 0 = 3*g + 4*i + 11 - 29, h = -3*g + y*i. What is the units digit of g?
2
Let h(f) = -f**2 - 2*f + 10. Suppose -8*x + 5*x = 0. What is the tens digit of h(x)?
1
Let n(t) = t**3 - t - 3. Let i(p) = p**3 + p**2 - 2*p - 3. Let s(r) = -3*i(r) + 4*n(r). What is the units digit of s(5)?
7
Let d = 165 - 90. What is the units digit of d?
5
Suppose -3*m + 560 = 5*m. What is the tens digit of m?
7
Let z = 8 + 10. What is the tens digit of z?
1
Let b(v) = -v + 6. Let u be b(5). Suppose 3*k - 3*q - 3 = 0, 4*k - 5*q + 1 - 3 = 0. Suppose -k*w + u = -5. What is the units digit of w?
2
Let t(j) = -j**3 + 8*j**2 - 5*j - 8. Let s be t(7). Suppose -s*f + 3*f = 5*r - 8, 16 = f - r. What is the units digit of f?
1
Let s = -10 + 19. Let b = 21 - s. What is the tens digit of b?
1
Let v(f) = -6*f + 71. What is the hundreds digit of v(-15)?
1
Let z(m) = -11*m**3 + m + 1. Let d = -1 - 0. What is the units digit of z(d)?
1
Let z = 22 + 16. Suppose -78 = 3*u + 3. Let j = z + u. What is the tens digit of j?
1
Let a = -29 + 14. Let v = -14 - -8. What is the tens digit of (-245)/a + 2/v?
1
Let n(k) = k**2 - 7*k + 2. Let l be n(4). Let t(o) = o**2 - 4*o - 1. Let h be t(5). What is the units digit of h/(-6)*15/l?
1
Let u = -13 - -9. Let m = 8 + u. Suppose m*s - 3*s - 10 = 0. What is the units digit of s?
0
Let p be 8*(-1)/4*2. What is the units digit of (p - -7) + (-2)/(-2)?
4
Let l = -5 - -5. Suppose 2*b - 25 = -5*m, 2*m - 10 = 3*b - l*m. Suppose -5*f + 5*p + 55 = b, f - 2 = -p + 3. What is the units digit of f?
8
Suppose j = -0 + 41. Let s = -16 + j. What is the units digit of s?
5
Suppose -p + 2*p - w = 2, -3*w = 2*p + 1. Let i be (2 - p)*-1 + 1. Suppose i = 5*h - 10*h + 75. What is the units digit of h?
5
Let g be -1 + 2 - 7 - 1. Let l = g + 20. What is the units digit of l?
3
What is the units digit of -1*(-28 + 4)*(-11)/(-3)?
8
Let q = 7 + -5. What is the units digit of q?
2
Suppose -i + 4*s = -0*s + 10, 3*i - 5*s = -16. Let h = 13 + i. Suppose 3*v - h = 10. What is the units digit of v?
7
Suppose 2*u - 71 - 231 = 0. Suppose 0 = -5*c + 49 + u. What is the tens digit of c?
4
Suppose 2*p = 2 + 2. What is the units digit of p?
2
Let k = -27 + 72. Suppose -3*w + k = 2*w. What is the units di | {
"pile_set_name": "DM Mathematics"
} |
845
What is the seventh root of 4475467 to the nearest integer?
9
What is the tenth root of 904940 to the nearest integer?
4
What is the cube root of 2121262 to the nearest integer?
128
What is the third root of 28498322 to the nearest integer?
305
What is 297315 to the power of 1/3, to the nearest integer?
67
What is 8962356 to the power of 1/9, to the nearest integer?
6
What is 15101879 to the power of 1/7, to the nearest integer?
11
What is the cube root of 2625072 to the nearest integer?
138
What is the eighth root of 846544 to the nearest integer?
6
What is the square root of 2111266 to the nearest integer?
1453
What is 414350 to the power of 1/4, to the nearest integer?
25
What is the fifth root of 51792 to the nearest integer?
9
What is 1079 to the power of 1/2, to the nearest integer?
33
What is 2880439 to the power of 1/2, to the nearest integer?
1697
What is the square root of 507827 to the nearest integer?
713
What is 9229166 to the power of 1/2, to the nearest integer?
3038
What is the square root of 25990 to the nearest integer?
161
What is 1252807 to the power of 1/2, to the nearest integer?
1119
What is the square root of 1292316 to the nearest integer?
1137
What is 425233 to the power of 1/3, to the nearest integer?
75
What is 223495 to the power of 1/2, to the nearest integer?
473
What is 457373 to the power of 1/2, to the nearest integer?
676
What is the third root of 226553 to the nearest integer?
61
What is the fourth root of 251461 to the nearest integer?
22
What is the cube root of 31062 to the nearest integer?
31
What is the ninth root of 226380 to the nearest integer?
4
What is 202521 to the power of 1/10, to the nearest integer?
3
What is 8101812 to the power of 1/9, to the nearest integer?
6
What is the third root of 4854708 to the nearest integer?
169
What is 384654 to the power of 1/3, to the nearest integer?
73
What is the third root of 271463 to the nearest integer?
65
What is the cube root of 8881310 to the nearest integer?
207
What is the square root of 4756915 to the nearest integer?
2181
What is 3689024 to the power of 1/2, to the nearest integer?
1921
What is the third root of 85814 to the nearest integer?
44
What is the fourth root of 105474 to the nearest integer?
18
What is 152718 to the power of 1/9, to the nearest integer?
4
What is 35838162 to the power of 1/2, to the nearest integer?
5986
What is the square root of 3183648 to the nearest integer?
1784
What is 1545455 to the power of 1/3, to the nearest integer?
116
What is the seventh root of 12084827 to the nearest integer?
10
What is the fifth root of 133356 to the nearest integer?
11
What is 298523 to the power of 1/5, to the nearest integer?
12
What is the third root of 3341554 to the nearest integer?
150
What is the cube root of 398063 to the nearest integer?
74
What is the square root of 208695 to the nearest integer?
457
What is 190911 to the power of 1/2, to the nearest integer?
437
What is 6852665 to the power of 1/2, to the nearest integer?
2618
What is the cube root of 5347937 to the nearest integer?
175
What is 16590529 to the power of 1/2, to the nearest integer?
4073
What is 1833650 to the power of 1/9, to the nearest integer?
5
What is 406096 to the power of 1/2, to the nearest integer?
637
What is the cube root of 642125 to the nearest integer?
86
What is the eighth root of 3536900 to the nearest integer?
7
What is the ninth root of 5200804 to the nearest integer?
6
What is the tenth root of 10156181 to the nearest integer?
5
What is the square root of 3766897 to the nearest integer?
1941
What is the third root of 714372 to the nearest integer?
89
What is 1047641 to the power of 1/6, to the nearest integer?
10
What is the seventh root of 1871078 to the nearest integer?
8
What is 441351 to the power of 1/10, to the nearest integer?
4
What is the eighth root of 14263276 to the nearest integer?
8
What is the square root of 1103553 to the nearest integer?
1051
What is the square root of 12915831 to the nearest integer?
3594
What is 201903 to the power of 1/8, to the nearest integer?
5
What is the third root of 8590005 to the nearest integer?
205
What is the tenth root of 301225 to the nearest integer?
4
What is 760683 to the power of 1/9, to the nearest integer?
5
What is 7589499 to the power of 1/2, to the nearest integer?
2755
What is the fourth root of 1893850 to the nearest integer?
37
What is the third root of 1749549 to the nearest integer?
120
What is the square root of 36908208 to the nearest integer?
6075
What is 373792 to the power of 1/5, to the nearest integer?
13
What is 1062724 to the power of 1/2, to the nearest integer?
1031
What is the cube root of 56731 to the nearest integer?
38
What is 98809 to the power of 1/2, to the nearest integer?
314
What is the fourth root of 163248 to the nearest integer?
20
What is 10063825 to the power of 1/3, to the nearest integer?
216
What is 7074319 to the power of 1/3, to the nearest integer?
192
What is 7013625 to the power of 1/9, to the nearest integer?
6
What is the square root of 5183213 to the nearest integer?
2277
What is 144523 to the power of 1/2, to the nearest integer?
380
What is 606119 to the power of 1/8, to the nearest integer?
5
What is the third root of 19808 to the nearest integer?
27
What is 768808 to the power of 1/9, to the nearest integer?
5
What is the eighth root of 19817037 to the nearest integer?
8
What is the square root of 864810 to the nearest integer?
930
What is the sixth root of 12900473 to the nearest integer?
15
What is 140876 to the power of 1/4, to the nearest integer?
19
What is the sixth root of 7409329 to the nearest integer?
14
What is the sixth root of 12578477 to the nearest integer?
15
What is the third root of 6993118 to the nearest integer?
191
What is the sixth root of 4708206 to the nearest integer?
13
What is 138422 to the power of 1/2, to the nearest integer?
372
What is 909110 to the power of 1/10, to the nearest integer?
4
What is the third root of 163832 to the nearest integer?
55
What is 1252785 to the power of 1/2, to the nearest integer?
1119
What is 20282164 to the power of 1/3, to the nearest integer?
273
What is the tenth root of 10292220 to the nearest integer?
5
What is 2725491 to the power of 1/8, to the nearest integer?
6
What is the third root of 14598603 to the nearest integer?
244
What is the third root of 996973 to the nearest integer?
100
What is the square root of 458545 to the nearest integer?
677
What is the seventh root of 223895 to the nearest integer?
6
What is 226780 to the power of 1/2, to the nearest integer?
476
What is 675724 to the power of 1/8, to the nearest integer?
5
What is 223018 to the power of 1/2, to the nearest integer?
472
What is the square root of 7571921 to the nearest integer?
2752
What is 1194890 to the power of 1/3, to the nearest integer?
106
What is 1108637 to the power of 1/2, to the nearest integer?
1053
What is the square root of 9577 to the nearest integer?
98
What is 2696847 to the power of 1/3, to the nearest integer?
139
What is the fifth root of 2545097 to the nearest integer?
19
What is the square root of 4990624 to the nearest integer?
2234
What is the third root of 6887038 to the nearest integer?
190
What is the cube root of 14811039 to the nearest integer?
246
What is the cube root of 10072691 to the nearest integer?
216
What is the cube root of 6283748 to the nearest integer?
185
What is the fourth root of 127780 to the nearest integer?
19
What is the fifth root of 7809753 to the nearest integer?
24
What is the square root of 2473398 to the nearest integer?
1573
What is the cube root of 23173620 to the nearest integer?
285
What is 11643370 to the power of 1/9, to the nearest integer?
6
What is 2744040 to the power of 1/3, to the nearest integer?
140
What is 915463 to the power of 1/2, to the nearest integer?
957
What is 462222 to the power of 1/5, to the nearest integer?
14
What is the square root of 5235792 to the nearest integer?
2288
What is 1536836 to the power of 1/4, to the nearest integer?
35
What is 1683518 to the power of 1/2, to the nearest integer?
1298
What is 1965858 to the power of 1/6, to the nearest integer?
11
What is the third root of 757772 to the nearest | {
"pile_set_name": "DM Mathematics"
} |
t(3)/2
Simplify sqrt(119)/(sqrt(28)*-2) - (sqrt(17) + ((sqrt(187)/(sqrt(44)/sqrt(4)))**2 - sqrt(17)) + sqrt(17) - (sqrt(119)*2)/sqrt(7)).
-17 + 3*sqrt(17)/4
Simplify (3*(-2*sqrt(110) - sqrt(110) - sqrt(110))*-4)/(sqrt(70)/sqrt(63)*-2) + 3.
-72*sqrt(11) + 3
Simplify 5*(sqrt(35) + sqrt(3500)*3)/((sqrt(343)/sqrt(7))/sqrt(7)).
155*sqrt(5)
Simplify 1 + 3*(sqrt(12) - sqrt(3)) + 3*(sqrt(432) - sqrt(432)*-2).
1 + 111*sqrt(3)
Simplify (sqrt(9)/sqrt(48))**2 + (sqrt(3) + (sqrt(75) + 1)**2 - sqrt(3)) + 2 + 4*(sqrt(300)*-2 + -3)**2.
490*sqrt(3) + 78627/16
Simplify 5 + (sqrt(425)*3 + 0 - sqrt(425))**2 - (-4 + (sqrt(425) - (-2 + sqrt(425))*5))**2.
-5131 + 240*sqrt(17)
Simplify (sqrt(180)/sqrt(9) + 1 + sqrt(15)/sqrt(108) + 3)**2.
52*sqrt(5)/3 + 1421/36
Simplify (6*(-2*(sqrt(132)*3 + sqrt(132)))/(4*(sqrt(12) - sqrt(36)/sqrt(3) - sqrt(12))))**2.
1584
Simplify (((1*sqrt(484) + sqrt(484) - sqrt(484)) + sqrt(484))/sqrt(11))/(sqrt(12)/(sqrt(6)/sqrt(2)) + sqrt(4))*-1.
-sqrt(11)
Simplify ((sqrt(84) + sqrt(84)*-2*3)*1)/(((sqrt(12) + sqrt(24)/sqrt(2) + sqrt(12))*-4 - sqrt(12)) + -2*sqrt(192)).
5*sqrt(7)/21
Simplify -1 + sqrt(55)/(sqrt(1100)*-1) + (1 + 1 + sqrt(245))**2 + (sqrt(245)*1)**2 + 0.
279*sqrt(5)/10 + 493
Simplify (-1*(sqrt(72) + sqrt(72) + 3 - sqrt(72))*-6 - -2*(sqrt(72) + sqrt(72) + sqrt(72) + 2 + -1))**2.
2880*sqrt(2) + 10768
Simplify (-5*(4 + 2 + -4*sqrt(272)*-4))**2.
19200*sqrt(17) + 1741700
| {
"pile_set_name": "DM Mathematics"
} |
t is n(-9)?
5
Let n(y) = -y**3 + 93*y**2 + 772*y + 14890. Give n(102).
-2
Let l(c) = c**3 - 4*c**2 - 11*c + 19. Calculate l(2).
-11
Let h(v) = v**3 - 9*v**2 - 8*v + 24. Determine h(10).
44
Let s(d) = -d**3 - 5*d**2 - 28*d - 215. Calculate s(-6).
-11
Let b(f) = -2*f**2 - 3112*f - 18623. Determine b(-6).
-23
Let x(c) = -7*c**2 + 8*c + 13. Calculate x(3).
-26
Let l(t) = -37*t - 22. Calculate l(-5).
163
Let p(c) = -254*c + 3561. Calculate p(15).
-249
Let l(v) = -77*v + 243. Give l(3).
12
Let k(y) = -57*y - 454. Calculate k(-7).
-55
Let b(g) = -30*g + 250. What is b(10)?
-50
Let j(b) = 83*b + 1082. Give j(-13).
3
Let o(s) = 9*s**2 - 18*s + 26. Give o(2).
26
Let j(a) = -a**3 - 16*a**2 + 35*a + 518. Give j(-16).
-42
Let l(d) = 2*d**3 + 24*d**2 - 19*d - 239. Give l(-12).
-11
Let k(l) = -l + 20. Calculate k(21).
-1
Let c(q) = q**3 - 22*q**2 + 14*q + 23. Determine c(21).
-124
Let z(o) = 51*o + 88. Determine z(-3).
-65
Let t(s) = s**3 + 10*s**2 - 447*s - 3671. Determine t(-8).
33
Let v(a) = -73*a + 1430. What is v(17)?
189
Let w(y) = -89*y + 1155. Determine w(9).
354
Let n(h) = -55*h + 11. What is n(2)?
-99
Let q(x) = 7*x - 50. Give q(12).
34
Let w(o) = 8856*o - 53147. What is w(6)?
-11
Let l(b) = -b**3 - 200*b**2 - 13*b + 37006. Give l(-199).
-8
Let l(w) = -6*w + 137. What is l(25)?
-13
Let i(l) = 72*l**2 + 718*l - 18. Give i(-10).
2
Let g(y) = -101*y - 350. Give g(-3).
-47
Let g(z) = 199*z**2 - 12*z + 13. Give g(1).
200
Let f(c) = -211*c - 604. Calculate f(-3).
29
Let l(u) = -u**3 + 2*u**2 + 16*u - 25. Give l(6).
-73
Let j(h) = -124*h**2 - 4213*h + 97. Give j(-34).
-5
Let p(k) = k**3 + 28*k**2 + 81*k + 11. Calculate p(-25).
-139
Let d(t) = -t**3 + 2*t**2 + 51*t - 110. Give d(7).
2
Let k(a) = -2*a**3 + 11*a**2 + 58*a + 22. Determine k(-3).
1
Let n(h) = -34*h**2 + 220*h + 7. Determine n(6).
103
Let o(u) = -7*u**2 - 797*u + 119. Determine o(-114).
5
Let x(m) = 36*m - 535. Determine x(12).
-103
Let c(j) = -13*j**2 + 102*j + 22. What is c(8)?
6
Let i(p) = -70*p + 566. Determine i(8).
6
Let s(i) = 642*i + 1277. Determine s(-2).
-7
Let d(r) = -r**3 + 261*r**2 - 3694*r + 66. Give d(15).
6
Let f(z) = z**3 + 167*z**2 + 5*z + 830. Determine f(-167).
-5
Let c(x) = -9*x**2 + 51*x + 387. Give c(10).
-3
Let r(s) = -64*s - 3856. What is r(-54)?
-400
Let m(i) = i**2 + 5468*i - 60282. What is m(11)?
-13
Let s(k) = -4793*k + 47946. What is s(10)?
16
Let d(c) = -57*c + 16582. What is d(291)?
-5
Let o(p) = p**3 - 7*p**2 - 12*p + 26. Give o(8).
-6
Let n(s) = 3*s**2 - 10*s - 19. What is n(-7)?
198
Let i(o) = 13*o**2 - 91*o + 20. Give i(8).
124
Let s(w) = -2*w**3 - 23*w**2 + 71*w + 756. Calculate s(-12).
48
Let b(j) = j**3 + 17*j**2 + 30*j + 9. What is b(-15)?
9
Let g(d) = 141*d + 874. Calculate g(-6).
28
Let x(l) = -2*l**3 + l**2 - 5*l - 187. What is x(-8)?
941
Let f(h) = -h**3 - 9*h**2 + 2*h + 21. Determine f(-9).
3
Let b(u) = -u**3 + 16*u**2 + 60*u - 14. Calculate b(19).
43
Let s(v) = -v**3 - 4*v**2 + 106*v + 423. Determine s(-4).
-1
Let j(y) = y**3 + 11*y**2 - 2*y + 45. Determine j(-13).
-267
Let i(m) = 2*m**3 + 7*m**2 + 12*m + 64. What is i(-5)?
-71
Let f(n) = 1239*n - 40877. Give f(33).
10
Let r(m) = 374*m**2 + 375*m. What is r(-1)?
-1
Let j(v) = v**3 + 5*v**2 - 23*v - 101. Calculate j(-4).
7
Let k(c) = 30*c**2 - 8*c + 7. Determine k(1).
29
Let n(d) = d**3 + 45*d**2 + 510*d + 42. Calculate n(-23).
-50
Let g(f) = 3*f**2 + 351*f - 349. What is g(-118)?
5
Let u(t) = -t - 85. Give u(-68).
-17
Let t(p) = 33*p**3 + 4*p**2 + 7*p + 2. Give t(-1).
-34
Let t(r) = -r**3 - 12*r**2 - 12*r + 28. What is t(-13)?
353
Let l(x) = -50*x - 2050. Determine l(-41).
0
Let w(d) = 355*d - 2128. Determine w(6).
2
Let o(t) = -6*t + 463. Determine o(72).
31
Let d(h) = 2*h**3 - 16*h**2 - 6*h - 19. What is d(8)?
-67
Let i(p) = -10*p - 705. Give i(-74).
35
Let c(b) = 104*b + 775. Calculate c(-7).
47
Let a(w) = -w**3 + 7*w**2 + 148*w + 10. Give a(15).
430
Let o(s) = 114*s + 14479. What is o(-127)?
1
Let j(d) = d**3 + 20*d**2 - 36*d + 97. Determine j(-22).
-79
Let w(j) = -j**3 + 9*j**2 - 26*j + 17. Calculate w(7).
-67
Let c(t) = 2*t + 15. Give c(12).
39
Let s(w) = -2*w**2 + 270*w - 3789. Calculate s(119).
19
Let k(t) = -t - 233. Determine k(-22).
-211
Let c(d) = -d**3 - 12*d**2 - 80*d - 968. Give c(-12).
-8
Let u(l) = -15*l**2 - 4*l + 79. Calculate u(-3).
-44
Let m(l) = 1176*l + 4733. Calculate m(-4).
29
Let t(n) = 5*n**3 - 4*n**2 - 30*n + 70. Determine t(2).
34
Let o(a) = -9*a - 304. Give o(-18).
-142
Let z(k) = -408*k - 6043. Determine z(-15).
77
Let m(k) = 15*k + 23. Determine m(51).
788
Let x(w) = -122*w + 3070. What is x(26)?
-102
Let r(b) = -156*b**2 + 54*b - 108. What is r(2)?
-624
Let c(k) = -k**2 + 22*k - 133. Determine c(23).
-156
Let s(v) = -101*v - 100. What is s(-6)?
506
Let c(m) = 127*m - 132. Calculate c(3).
249
Let z(h) = 225*h - 2471. What is z(11)?
4
Let o(n) = -n**3 - 21*n**2 - 101*n + 9. What is o(-7)?
30
Let i(u) = -36*u**2 + 686*u - 88. Determine i(19).
-50
Let u(o) = -14729*o - 73645. What is u(-5)?
0
Let r(q) = 27*q - 46. Give r(10).
224
Let f(w) = 31*w**2 - 5*w - 5. Calculate f(-2).
129
Let c(s) = 54*s**3 - 3*s - 3. What is c(-1)?
-54
Let o(y) = 10*y - 137. Determine o(23).
93
Let v(t) = 116*t + 1049. Determine v(-9).
5
Let r(n) = 19*n - 15. Give r(4).
61
Let f(a) = -35*a + 4. Determine f(9).
-311
Let x(z) = 1014*z + 1014. Determine x(-1).
0
Let a(p) = -2*p**2 - 125*p + 260. What is a(-61)?
443
Let d(b) = -26*b**2 + 751*b + 94. What is d(29)?
7
Let n(w) = -256*w - 2032. Calculate n(-8).
16
Let t(n) = -1047*n - 12572. What is t(-12)?
-8
Let b(d) = d**3 + 12*d**2 + 20*d + 14. Calculate b(-9).
77
Let a(o) = -2*o**2 - 147*o - 360. Determine a(-71).
-5
Let g(v) = -5136*v - 41098. What is g(-8)?
-10
Let j(a) = 1641*a + 5010. Determine j(-3).
87
Let n(c) = c**2 - 86*c - 3481. What is n(-30)?
-1
Let y(l) = l**2 + 17*l + 343. Determine y(-14).
301
Let o(y) = -y**3 + 136*y**2 - 383*y - 2119. Calculate o(133).
9
Let i(m) = -m**3 - 17*m**2 - 12*m - 84. Calculate i(-18).
456
Let f(q) = -65*q - 921. What is f(-13)?
-76
Let x(c) = 2342*c + 37461. Give x(-16).
-11
Let c(w) = -136*w**2 - 2448*w + 7. Determine c(-18).
7
Let f(m) = -5*m**3 - 661*m**2 - 126*m + 794. What is f(-132)?
2
Let z(i) = -25*i - 253. Give z(2).
-303
Let b(d) = -d**3 + 36*d**2 - 16*d - 645. What is b(35)?
20
Let b(t) = -275*t**2 + 1375*t + 7. Calculate b(5).
7
Let s(j) = j**3 - 6*j**2 - 55*j + 7. Determine s(11).
7
Let d(a) = -a**2 + 61*a - 909. Calculate d(27).
9
Let o(k) = 88*k**2 - 60*k + 59. What is o(1)?
87
Let s(j) = -2*j**2 + 210*j - 200. Give s(104).
8
Let v(u) = u**3 + 2*u**2 + 8*u + 4. Give v(-6).
-188
Let c(f) = -2*f**3 - 143*f**2 - 216*f - 426. Determine c(-70).
-6
Let f(r) = -40*r**2 + 105*r - 261. Calculate f(4).
-481
Let a(c) = -c**2 + 67*c + 373. Determine a(72).
13
Let m(r) = -370*r + 4054. Determine m(11).
-16
Let k(l) = -24*l + 309. Give k(16).
-75
Let w(k) = -65*k + 3509. What is w(54)?
-1
Let i(y) = -y**2 - 7*y. What is i(4)?
-44
Let d(y) = y**2 - 2*y - 80. Determine d(-9).
19
Let c(j) = 12*j + 228. Calculate c(-12).
84
Let i(j) = 9*j + 103. What is i(-14)?
-23
Let m(r) = 156*r + 124. Determine m(-1).
-32
Let b(h) = -533*h - 83676. Determine b(-157).
5
Let u(a) = -3*a**3 - 130*a**2 - 48*a - 207. Give u(-43).
8
Let h(y) = 4*y**2 + 32*y - 8. Give h(-8).
-8
Let t(r) = -2*r**3 - 28*r**2 + 27*r - 28. Give t(-15).
17
Let p(k) = k**2 - 32*k - 86. Calculate p(34).
-18
Let r(g) = g**3 - 9*g**2 - 10*g - 10. What is r(4)?
-130
Let d(t) = 300*t**2 - 618*t + 23. Determine d(2).
-13
Let r(b) = -b**3 - 54*b**2 + 243*b + 628. Calculate r(-58).
-10
Let w(q) = -98*q - 3717. Determine w(-38).
7
Let d(h) = -26*h**3 - 309*h**2 + 35*h + 17. Calculate d(-12).
29
Let w(q) = -5*q**2 + 17*q + 897. Determine w(15).
27
Let w(x) = -4*x**3 + 122*x**2 - 43*x - 97. Give w(30).
413
Let l(a) = -74*a - 2660. What is l(-35)?
-70
Let v(j) = j**3 - 44*j**2 - 10*j + 444. Calculate v(44).
4
Let j(m) = 91*m + 3970. What is j(-44)?
-34
Let k(v) = -23*v - 307. Determine k(-13).
-8
Let m(p) = 35*p**3 + 2*p**2 - 557*p + 555. Give m(1).
35
Let n(q) = 443*q + 9273. What is n(-21)?
-30
Let m(c) = c**2 - 9*c - 234. Give m(-11).
-14
Let z(v) = -7*v**2 - 14*v - 42. Give z(-3).
-63
Let w(u) = 2*u**3 - 269*u**2 - 406*u - 297. Determine w(136).
-25
Le | {
"pile_set_name": "DM Mathematics"
} |
-42))/(a**(-3/8)*a**(-2))**(-1/47) assuming a is positive.
a**(-25813/1128)
Simplify ((u*u**(-1/3)*u)**(-13)*u**8/u**(-3))/((u**(-1))**(4/3)*(u/(u**(-6)/u))/(u/(u/(u*u**3*u*u)))) assuming u is positive.
u**(-34/3)
Simplify (o**(-2/7)/(o**(-3)*o))/(o/((o**5/o)/o)*o**(1/6))*(o/(o/(o**1*o)*o))**38*(o**(-2/7))**(-3/26) assuming o is positive.
o**(22703/546)
Simplify (l*l**(-2/37)/l*l/l**1*l**(-13)/(((l*l**(-5/6))/l)/l*l))**7 assuming l is positive.
l**(-18991/222)
Simplify (((m*m/m**(-38)*m)/m)/m*m*(m*m*m**(-2/31))/m)/((m*m/(m/(m**(3/10)/m))*m)/(m*m**(5/7)/m)) assuming m is positive.
m**(87559/2170)
Simplify ((g**(-1/41)/g)/g*g/((g/(g/(g**(-9)/g)))/g*g))/((g*g**1)/g)**(6/5) assuming g is positive.
g**(1594/205)
Simplify ((w/w**(-1/2))**43*(w*w**(4/13)*w)**(2/43))**(1/53) assuming w is positive.
w**(72231/59254)
Simplify ((w/(w**(-13)*w))**(2/123)*(w/(w**(-2)*w*w)*w)**(-2/3))**14 assuming w is positive.
w**(-644/41)
Simplify (((i*i**0/i)**45/((i**1*i)/(i/i**(-2/7))))**(11/4))**(-2/65) assuming i is positive.
i**(11/182)
Simplify (((v**(-1/7)/v)/v*v)**(-20/7)*(v/((v/v**(-20))/v))**(1/21))**(-46) assuming v is positive.
v**(-15962/147)
Simplify (r**7/(r/(r/(r*r**(1/2))*r)))**26*(r/(r/(r*((r*r*r**(1/12)*r)/r*r)/r*r))*r*r*r/((r*r/r**(-4))/r))**47 assuming r is positive.
r**(3203/12)
Simplify ((u**7/u**(1/12))/((u**23*u)/u*u**35))**(6/17) assuming u is positive.
u**(-613/34)
Simplify ((l**(-1))**(-3)/(l*l*(l/(l**(-3/4)/l*l))/l*l**(-8)/l))/((l**(2/13))**(6/5))**(3/4) assuming l is positive.
l**(2369/260)
Simplify (t**(-3/8)*t/t**(-2/3))**(-1/13)/(t*t/((t*t**1)/t*t)*t*t**(-1)*(t**(-1/4)*t)**17) assuming t is positive.
t**(-4009/312)
Simplify y**(-36)*y**(-2/11)*y/(y**(-45)*y)*(y/y**(8/5))/y assuming y is positive.
y**(397/55)
Simplify (z**(-2/5)*z**(-3)*(z**(-1))**(-1/19))/((z**(1/3))**(-1/5)*z**(-3/2)/(z**(1/6)*z)) assuming z is positive.
z**(-35/57)
Simplify (t**(-1/2))**(-8)*t/t**(-5/4)*t/t**9*(t**1)**(-6)*(t**(6/5)/t)/t**(3/7) assuming t is positive.
t**(-1117/140)
Simplify ((s*s**(5/2)*s)**42*(s/s**6)**(5/2))**(-16/5) assuming s is positive.
s**(-2824/5)
Simplify (o**(1/3)/(o*(o/(o/(o*o/(o*o/o**(2/19)*o))*o))/o))**(-1/41)*((o*o/(o*o/(o/((o**(2/9)/o)/o))*o))**(-5))**(4/25) assuming o is positive.
o**(-51761/35055)
Simplify ((a**(-8))**(-2/3)/(((a*a*a**(2/15)*a)/a)/a*(a*a/(a*a*(a/(a/a**(-1/8)))/a*a*a)*a)/a))**(19/6) assuming a is positive.
a**(3857/240)
Simplify (((d*d**(-1)*d)/d*d)/(d/(d*d**10)))**24*(d**(2/7)/d)**(1/41)/((d**2/d)/((d**(-2/23)/d)/d)) assuming d is positive.
d**(1722172/6601)
Simplify ((o*o**0)/o*o/(o*o**(-5/4)))/(o**(1/2)/(o**(1/4)*o))*((o/((o*o**(-1))/o))**(1/4))**26 assuming o is positive.
o**15
Simplify ((w*(w/((w*w**5)/w))/w)/w*w/(w**4*w)*((w*w/(((w/(w/w**1))/w*w)/w))/w)**3)/((w**2)**41)**18 assuming w is positive.
w**(-1482)
Simplify (((v*v/v**(2/7)*v)/v**(2/7)*v/((v/v**0)/v)*v**(-10))**(-38))**(-1/51) assuming v is positive.
v**(-1748/357)
Simplify f/(f/(f**(-5)/f))*f**2*(f/f**(-1/10))/(f/(f**(-2/3)*f))*(f/f**4)/(f*f*f/(f*f*f**2))*(f*f**(1/5))/f**1 assuming f is positive.
f**(-161/30)
Simplify ((b**(-1/2))**(-3/22))**8/((b**(1/3))**(2/5)/(b**(-6)*(b/(b/(b/b**(2/7))))/b)) assuming b is positive.
b**(-6784/1155)
Simplify ((t**(-4/17))**(-4/5)*t*t*(t/(t*t**(14/3)))/t*t*t**(-2/45)/t)**(2/19) assuming t is positive.
t**(-1078/2907)
Simplify (f/f**(1/13))/f**(2/21)*(((f**(6/25)*f*f)/f*f*f)/f)/f**(-14) assuming f is positive.
f**(116488/6825)
Simplify ((b*(b*(b**(-2/7)/b)/b)/b)/(b*b**(-2/15)))**(7/8)*(b/(b/(b*b**(1/2)))*b*b*b**(-2/15)*b*b)/(b**0)**36 assuming b is positive.
b**(209/60)
Simplify ((a*(a/(a*a**(-1)))/a)**33*a**(2/5)/(a/(a*a/(a/(((a*a/a**(-2/9)*a)/a)/a)*a))))/((a**1)**(-2/27)/(a**0/(a**(-2/11)*a))) assuming a is positive.
a**(48824/1485)
Simplify ((j/j**(-5/2))/j*j*j**(-9)*j*j**(-1/20)*j**25)**(7/11) assuming j is positive.
j**(2863/220)
Simplify ((a**(-2)*a**(-1/2))/(a**(-7)/(a/(a/(a**(-6/7)*a)*a)*a*a)))/((a**(-3)*a*a**(-3))/(a**7/a**(1/17))) assuming a is positive.
a**(4185/238)
Simplify (m**7*(((m*m**(-1))/m)/m)/m*m)**46*m**(8/7)*m/(m**(-1/2)*m)*m**(1/2)/m*m*(m*m**(-7))/m assuming m is positive.
m**(1576/7)
Simplify ((((n*(n*n**(-5/4))/n)/n)/n)/(n/n**1)*(n**(-5/2)/n)/(n/n**(-1)))/((n/((n*n/(n**(1/8)/n*n))/n))/(n**(-4/9)*n*n*n*n))**(-2/63) assuming n is positive.
n**(-4456/567)
Simplify ((((v*v/((v/v**(-7))/v))/v**(-6))**(5/2))**(-1/16))**(1/5) assuming v is positive.
v**(-1/32)
Simplify h**(-8/3)/((h/(h*(h**15*h)/h)*h)/h)*(h/((h/(h/((h**28/h)/h)))/h))/h**(1/36) assuming h is positive.
h**(-421/36)
Simplify ((t**(2/9)/(t/(t/t**(-2/15))))/(t**1)**(-10))/(((t/((t/(t*(t/t**(-2/13))/t))/t))/t)/(t**(-5/4)*t))**(-2) assuming t is positive.
t**(15401/1170)
Simplify ((u*u**49)/(u*u/u**(-28)*u)*u**34/(u**29/u))**18 assuming u is positive.
u**450
Simplify (((((t*t/t**(-1))/t)/t*t/(((t*t**(-2))/t)/t))/((t/t**4)/(t*(t/(t*t/t**(-5)))/t)))**(-42))**(-1/32) assuming t is positive.
t**(21/8)
Simplify (((r/(r*r**0))/r)**(-23/5))**(-34)/((r**(1/2))**(-32/3)/(r**4*r/(r*r**(-4)*r))) assuming r is positive.
r**(-2161/15)
Simplify ((b**(-1/2))**(-1/13)*(b/((b/(b**(5/6)*b))/b)*b)/b**1)/(((b*b**(3/4)*b)/(b/b**3))/(b*b**(-2/11)*b*b*b*(b*b**(-3))/b*b)) assuming b is positive.
b**(-103/1716)
Simplify ((q*q*q/q**(-1/19)*q)**(-29)*q**24*q**(-6/13))**48 assuming q is positive.
q**(-1114320/247)
Simplify ((w**1/w)**47*(w**1)**19)/(w**(-2/3)*w**(-1/3)/w*w*w*w**0*w*w/(w**(-3/7)/w)) assuming w is positive.
w**(109/7)
Simplify ((j**(-6)/j)/(j*j**(1/7)/j*j)*(j**(-1)*j)**(12/13))/((j/(j*(j/(j**(-7)*j))/j))/(j*j*j**(-1)*j))**39 assuming j is positive.
j**(2127/7)
Simplify (y**(2/3)*y)**13/(y**(-8)*y*(y*y/(y/(y*y**(2/11)*y*y))*y)/y)*((y/(y/(y**(-3/2)/y)*y)*y)/(y/(y/(y*y**5)*y)*y))**50 assuming y is positive.
y**(-13217/33)
Simplify (k*k*k**(1/2)/k)**(2/7)/((((k*k*k*(k*k**(-5)/k)/k*k)/k)/k)/k**4)*k/k**4*k*k**(-1/4)*(k/k**(-1/4)*k)/((k/k**(-4)*k)/k*k) assuming k is positive.
k**(17/7)
Simplify (l*l*l**(-5/2)*l*l*l*l/l**15*l*l*l**2*l**(-15))**49 assuming l is positive.
l**(-2205/2)
Simplify (r**(6/17)*r)**19/(r**(-45)/r*r*r**(12/13)) assuming r is positive.
r**(15422/221)
Simplify ((i**(9/4))**(2/147)*i*i*i*i*(i*i/(i*i/(i*i**28)))/i*i*i*i**(-6/7))**23 assuming i is positive.
i**(74773/98)
Simplify (((c/(c/(c/c**(-3)*c)))/((c**(2/15)*c)/c*c))/(c*c**1)**39)/(c**0*c**(2/13)*c*c**1*c**(5/4)) assuming c is positive.
c**(-60479/780)
Simplify ((((p**0*p)/p)/p*p/(p*p*p**(2/5)*p)*p*(p/p**5)/p*p*p**(-8)*p)**(-2/3))**(21/4) assuming p is positive.
p**(469/10)
Simplify (t/(t*t*t**(2/7))*t**(-8)/t)**(-2/9)*((t**4)**(3/31))**37 assuming t is positive.
t**(3604/217)
Simplify (((x**25/x)/(((((x*(((x**41/x)/x*x)/x)/x)/x)/x)/x*x)/x*x))**(-2/43))**(-4/11) assuming x is positive.
x**(-104/473)
Simplify ((j**(-1)*j*j*j)/j)**(-24)*(j*(j/((j/(j/j**7))/j))/j)/j**4*(((j*j*j*j**(-7))/j)/j*j*j*j**(-5))/(j/(j/(j**(-1/2)*j))*j)**(-7/9) assuming j is positive.
j**(-245/6)
Simplify ((((((k/(k**6*k))/k*k)/k)/k)/k*(k/((k*k**8)/k*k)*k)/k*k*k)/(k**4/(k**(-4/5)/k*k*k)))/(k**7/k**(-1)*(k/((k/(k/k**0)*k)/k))**20) assuming k is positive.
k**(-234/5)
Simplify ((((v**(-8/3)*v)/(v**(-3/10)/v))/(v**(-2/9)*(v*v/((v*v**(-2/11))/v))/v))**(-4/35))**(-45) assuming v is positive.
v**(-2626/385)
Simplify ((g**1)**(5/13))**(2/5)/(((g/g**(-2/3)*g)/g*g)**(-1/6)/(g**2*g*g)**(13/7)) assuming g is positive.
g**(6574/819)
Simplify (s**4*s**(2/13)*s)**(-1/20)/(s**(-4)/(s*(s/s**(-6)*s)/s*s)*(s**(2/7)/s*s)**(-4/11)) assuming s is positive.
s**(257181/20020)
Simplify (((f**(-8)/f)/(f*f**(-4)*f*f*f))/(f**2/f**(-4)))**35 assuming f is positive.
f**(-525)
Simplify (x**(-7)*x*x**2)/(x**(-4)/x*x**(7/4)*x)*x**(-1/4)/x*x**(-2/9)*x*x/x**1*x*x**(-1/2) assuming x is positive.
x**(-31/18)
Simplify (d/(d*d/(d/(d*d**1)*d)))**(-4)/(d*d*d**7*d*d**(-6))*(d**(-2)/d*d**(-2/3))**(-11) assuming d is positive.
d**(121/3)
Simplify (((c/c**(-20))/(c/(c/c**(13/2))))/(c**13)**(2/47))**(-4/21) assuming c is positive.
c**(-874/329)
Simplify (p**(-9)*(p/p**(-8))/p*(p**(-1/8)*p)/p*p**6)/(p/p**(-4/5)*p**3)**(5/7) assuming p is positive.
p**(81/56)
Simplify ((c**(-3)/c)/(c*c/(c*c**3)))**(-11/6)*((c/(c**(-2)/c)*c)/(c*c**(-1/8)))**(-4/11) assuming c is positive.
c**(13/6)
Simplify ((v/v**18*v**(-2/33)*v)/((v**(7/5)/v*v)/v)**(-1/9))**5 assuming v is | {
"pile_set_name": "DM Mathematics"
} |
ange 2*q + 7*q**4 + 7*q - 12*q + (-2*q**3 - 2*q**3 + 6*q**3)*(-2*q + 2*q + q) to the form v*q**2 + m*q**4 + n*q + k + z*q**3 and give n.
-3
Rearrange 8*r**2 - 13 + 28 + 2*r - 13 + (-2*r + 6*r - 2*r)*(4*r + r - 4*r) to the form f + c*r + w*r**2 and give c.
2
Express ((0*c**2 + 2*c**2 - 4*c**2)*(-2 + 2 + 6*c) + (-2*c + 1 - 1)*(3*c**2 - 6*c**2 + 0*c**2))*(3 - 2 - 2) in the form z + m*c**2 + w*c**3 + l*c and give w.
6
Express (24*z + 53*z + 13*z)*(4*z - 4*z + 2*z)*(3*z - z - z) as w*z**2 + t + k*z**3 + h*z and give k.
180
Express -53*k + 37*k - 99*k as i*k + u and give i.
-115
Express (54 - 9 - 17)*(-3*q**3 - 2*q**3 + 6*q**3) in the form k*q**3 + z + d*q + m*q**2 and give k.
28
Rearrange -y**3 + 13*y**3 - 2*y**3 - 11*y**3 + 2*y**2 - 5 to k*y + f*y**3 + a*y**2 + g and give a.
2
Rearrange 7*w**3 - 2151*w**2 + 9*w**4 + 3*w**4 - 1 - 2*w + 2151*w**2 to p*w**2 + y*w**4 + h*w + k + q*w**3 and give y.
12
Rearrange -39*y + 77*y + 169*y**2 - 38*y to l + k*y**2 + n*y and give k.
169
Express (0 + 0 - 1)*(1 - 2 - 1)*(1 - 4*r + 3*r + 9*r) as j + g*r and give g.
16
Express -2 + 0 + 3*x**4 - 4*x**4 + (-11*x + 3*x + 0*x)*(0*x**2 - 2*x**3 + 0*x**2) in the form k + b*x + g*x**4 + w*x**2 + y*x**3 and give g.
15
Rearrange (-2*u - 2 + 2)*(20*u - 14*u + 25 - 5*u) to m*u + j + k*u**2 and give j.
0
Rearrange (-4 + 4 + 3*j)*(-2 + 2 - j**2) - j**3 - 4*j**3 + j**3 to the form z*j + r + c*j**3 + u*j**2 and give u.
0
Express -3*r**3 - 1 - r**3 - 5*r**3 in the form s + i*r**3 + a*r**2 + g*r and give s.
-1
Express 35*i**2 + 6*i**2 + 5*i**2 in the form m*i**2 + s*i + t and give m.
46
Rearrange -4 + 807*p**3 - 809*p**3 - p**2 - p**2 to the form m*p**3 + y*p + x + h*p**2 and give x.
-4
Rearrange 0*q - 5*q - 230 + 248 + 3*q to r + h*q and give h.
-2
Express -52*c**2 + 440*c - 440*c in the form p + v*c**2 + t*c and give v.
-52
Express -v**2 + 7*v**2 - v + v**2 + 10*v**2 in the form g*v**2 + h*v + p and give g.
17
Express 0*p**2 - 2*p**2 - p**3 + 5*p**2 - 2*p**2 in the form x + u*p**2 + r*p + t*p**3 and give t.
-1
Rearrange (3 - 3 + 1)*(-21*r**2 + 72*r**2 + 23*r**2 - 2*r**2 + r**2 + 0*r**2 + (-r - 2 + 2)*(0 + 0 + r)) to the form n*r**2 + a + h*r and give n.
72
Express -32*z**3 - 12*z - 9*z**2 + 29*z**3 + 9*z in the form k + p*z + s*z**3 + r*z**2 and give p.
-3
Rearrange -96 - u + 4*u**4 + 96 + u**2 - u**3 to the form m*u**4 + c*u + a*u**3 + s*u**2 + p and give c.
-1
Express (-4 + 1 + 2)*(2*v - 1 + 1) + 4 - 4 + 2*v - 4*v + 6*v - 4*v + (0 + 0 - 2)*(2 - 2 + 2*v) - 3*v - 4*v + 5*v + 0*v + 4*v - 3*v as r*v + y and give y.
0
Rearrange -14 + 14 - 4*v + 20*v to i*v + p and give i.
16
Express -8*x**2 + 5*x**2 + 9*x**2 in the form b + g*x + k*x**2 and give k.
6
Rearrange (3*i - 5*i + i)*(i + 8*i - 4*i) - 14*i**2 - 5*i + 5*i to the form l + t*i + b*i**2 and give b.
-19
Express ((-4 + 2 + 1)*(-b - 4*b + 4*b) - 5 - 3*b + 5)*(4*b - 3*b + 3*b) + (-2*b - 2*b + 3*b)*(0*b + 2*b + 0*b) as j*b + v*b**2 + r and give j.
0
Rearrange 2 + 0*o - 2*o - 52*o**3 + 3*o**4 + 50*o**3 to the form t*o**3 + g*o + p*o**2 + l + u*o**4 and give l.
2
Rearrange -2*p + 10*p + 0*p + 0*p**2 + 2*p**2 to the form q*p**2 + r + n*p and give q.
2
Rearrange -6*d**4 + 1 - 6*d**4 + 11*d**4 + d**3 + 2*d**2 - 3*d to t*d**4 + f + h*d**3 + g*d**2 + y*d and give f.
1
Rearrange 1 + 5 + 23*p - 6 to the form u*p + j and give u.
23
Rearrange 0 + 7*w**2 + 0 - 2*w**2 to n + o*w**2 + u*w and give o.
5
Rearrange -44*v**2 - 5*v**2 + 7*v**2 - 16*v**2 to k + f*v**2 + u*v and give f.
-58
Rearrange 2*h**2 - 3*h**2 + 4 - 1 - h**2 to p*h + a + b*h**2 and give b.
-2
Express (5 - 2 - 4 + 3*y)*(2 - 3 + 0)*(-y**3 + 5*y**3 - 5*y**3)*(-2 - 3 + 3) as b*y**4 + f*y**3 + d*y**2 + j + p*y and give f.
2
Rearrange -37*b**2 + 26*b - 79*b + 26*b + 29*b to w + s*b**2 + p*b and give p.
2
Express -y**4 - 5*y**3 + 7*y**3 + 3*y**4 + 31 + y in the form x + i*y**2 + f*y**4 + b*y + g*y**3 and give x.
31
Express 113 - 55 - 3*v + 2*v**4 - 59 + 6*v**2 in the form u*v**2 + s*v**4 + r*v**3 + h + k*v and give h.
-1
Rearrange (-3*k + 5*k + k)*(0*k**3 + 0*k**3 - k**3) + 11*k + 2*k - 2*k**4 + 4*k**4 to y*k**4 + h*k + p*k**2 + l*k**3 + f and give h.
13
Express 6*r**3 - 4*r**3 - r**3 + (6*r - 2*r - 3*r)*(0*r**2 + 0*r**2 + r**2) + 0*r + 0*r + 3*r**3 - r**3 - 2 + 2 as k*r**2 + v + o*r + u*r**3 and give u.
4
Rearrange 2*d**4 - d**2 - 3 + d**3 - 8*d**4 + 1 to o*d**2 + s*d**3 + k*d**4 + q*d + v and give s.
1
Rearrange (-4 + 4 - f**2)*(-3*f - 3*f + 4*f + (4 - 4 - 2*f)*(1 + 2 - 5) - 39 + 39 + 22*f)*(1 + 3 - 6) to the form g*f + l*f**3 + s*f**2 + x and give l.
48
Rearrange 12*q - 20*q - 13*q - 31*q to the form u + p*q and give p.
-52
Express -59*j + 50*j - 73*j as n*j + p and give n.
-82
Rearrange p + 4*p**2 - 31 + 3*p + 31 to f*p**2 + i*p + a and give f.
4
Rearrange 2*j**2 - 3*j**4 + 42*j + j**3 - 82*j + 30*j to g*j**2 + q + s*j + i*j**4 + n*j**3 and give s.
-10
Rearrange (-6 + 6 + 6*i**3)*(2*i - 3*i + 4*i) - i**4 + i**4 + i**4 + 0*i**4 - i**4 - 2*i**4 to the form d*i**3 + t*i + m*i**2 + l*i**4 + y and give l.
16
Express -6*c**2 + 2 - 2 as m + i*c + u*c**2 and give u.
-6
Express (-61*o**2 + 146 - 146)*(o + 2*o - 2*o)*(-2 + 2 + 2*o) in the form q*o**3 + y + p*o**4 + f*o + t*o**2 and give y.
0
Rearrange (7 - 107 + 2*v - 3)*(0 + 0 - 2*v**2) to m*v**3 + p + t*v**2 + u*v and give u.
0
Express 8 - 28 + 10 - 6*o + 11 in the form v*o + c and give v.
-6
Rearrange 17*m**2 + 0*m**2 - 3*m**2 to p*m + k*m**2 + f and give k.
14
Express (h**4 + h**4 - 3*h**4)*(2 - 1 - 3) - 2*h**4 - 4*h + 4*h**4 + h as f + v*h + s*h**3 + x*h**4 + n*h**2 and give x.
4
Express (-146 - 388 - 30 + 117)*(-5*x**2 + 3*x**2 + 0*x**2) in the form g + j*x**2 + i*x and give j.
894
Rearrange -4*c**2 + 5*c**2 - 2*c**2 + (-4*c + 4*c + 4*c)*(2*c - 2*c - 2*c) + (4*c + 3*c - 3*c)*(-2 + 2 + c) to the form j*c + k + u*c**2 and give u.
-5
Express -6 + f + 9 + 7 + (0 + 0 + 2)*(-2*f - f + 4*f) as u*f + n and give n.
10
Express -14*u**3 + 6 + 17*u**3 + 0*u - 1 + u as t + f*u**2 + j*u + l*u**3 and give j.
1
Express -8 + 3 + 10 - o + 2*o**3 - 7*o**2 - 4 in the form u + r*o**3 + p*o**2 + t*o and give r.
2
Express -6*w**2 - w**2 + 5*w**2 + 4*w**2 in the form v*w**2 + q + t*w and give v.
2
Rearrange -22*t + 2*t + 4*t to the form q*t + g and give q.
-16
Rearrange -8*z**3 - 2*z - z**2 + z**2 - z**2 to p*z**2 + k*z + a + h*z**3 and give p.
-1
Express h - 15*h**2 + h**4 + 17*h**2 + 4 - 3 - 3*h**3 in the form i*h**2 + m*h**3 + o*h + u*h**4 + f and give f.
1
Rearrange -68 + 13*j + 68 to the form y + x*j and give x.
13
Rearrange (1 - 2 - 1)*(3*s - 4*s + 3*s) + (2 + 14 + 9)*(2*s - 7*s + 3*s) to the form k*s + d and give k.
-54
Express -12*m - 4*m + 17*m + 81*m as i*m + o and give i.
82
Rearrange (1 - s + 3*s - s)*(28 - 21 + 37) to p*s + w and give w.
44
Express -6*i + i - 3*i + 6*i - 2*i + i + (0*i - 4*i + 3*i)*(-1 + 1 - 2) as v*i + k and give v.
-1
Rearrange (-3 + w + 3)*(-5 + 1 + 3) + 0 + 2 - 168*w + 136*w to the form u + k*w and give u.
2
Rearrange 0*u + 2*u - 3*u - u + 4*u**2 to k + r*u + l*u**2 and give r.
-2
Express -4*s**2 - s - 9*s**2 - 3*s - 3*s**2 in the form q*s + p*s**2 + o and give q.
-4
Express (9 + 3 - 2)*(-5*m**3 + 6*m**3 - 2*m**3) as v*m**3 + t*m**2 + l + i*m and give v.
-10
Rearrange (-35 + 2*t - 7*t + 38)*(-2*t + 2*t + 5*t) to the form p*t**2 + z*t + x and give z.
15
Rearrange (-5*j + 2*j + j)*(-10*j**2 + 0*j**2 + j**2)*(-1 + 1 - 3*j) to u*j**4 + a*j**3 + q*j**2 + y + z*j and give u.
-54
Express (7 + 4 - 4849*w + 4851*w)*(5*w**2 - 2*w**2 - 2*w**2) - 5*w**3 - w**3 + 5*w**3 in the form z*w**3 + c*w**2 + i + k*w and give z.
1
Express -1 + h**2 - h**4 - 111*h + 112*h + 0 in the form a + r*h**3 + o*h**2 + g*h + q*h**4 and give o.
1
Express 13*v**3 - v + 0 + v**3 + 0 in the form g*v**3 + f + a*v**2 + p*v and give g.
14
Rearrange -6 + 4 + 73*k**3 - k + 3*k**4 + 10*k**4 - 71*k**3 to the form p*k**2 + r*k**4 + c*k**3 + x*k + t and give x.
-1
Express (-3 + 0 + 4 + (-1 + 3 - 1)*(2 - 4 + 4))*(-3 + 2 + 0)*(-13*u**4 + 5*u**4 - 7*u**4) as k*u**2 + i*u**3 + w*u + h*u**4 + o and give h.
45
Express -4*f**3 + 158*f + 2 - 158*f as a + j*f**2 + t*f + i*f**3 and give a.
2
Express -l**2 + 2*l**4 + 3*l**4 - l**4 - 3*l**4 + 5*l - l**3 in the form p*l**2 + g*l + y*l**4 + v + f*l**3 and give f.
-1
Express 0*v**3 - 3*v**3 + 143*v**2 + 3*v - 141*v**2 as i*v**2 + d*v* | {
"pile_set_name": "DM Mathematics"
} |
te prob of sequence vuvu when four letters picked without replacement from {u: 2, i: 6, v: 9}.
3/1190
Calculate prob of sequence rre when three letters picked without replacement from errrrrerreree.
70/429
Two letters picked without replacement from {o: 1, h: 6, y: 2, s: 4, i: 2}. What is prob of sequence io?
1/105
Calculate prob of sequence fqf when three letters picked without replacement from qqffqqqffqqqf.
40/429
Calculate prob of sequence im when two letters picked without replacement from ximmxxxkx.
1/36
Two letters picked without replacement from {s: 4}. What is prob of sequence ss?
1
Calculate prob of sequence llll when four letters picked without replacement from llllllllll.
1
Calculate prob of sequence yc when two letters picked without replacement from kivyc.
1/20
What is prob of sequence qx when two letters picked without replacement from {z: 1, q: 1, x: 2, s: 1, d: 2}?
1/21
What is prob of sequence dd when two letters picked without replacement from {f: 5, h: 1, r: 1, d: 5}?
5/33
Four letters picked without replacement from {d: 1, g: 1, j: 2, o: 4}. What is prob of sequence ogjd?
1/210
Calculate prob of sequence qc when two letters picked without replacement from {m: 3, u: 3, q: 1, n: 1, l: 1, c: 2}.
1/55
What is prob of sequence qq when two letters picked without replacement from qqm?
1/3
What is prob of sequence uuuu when four letters picked without replacement from hhhhhhhuhuhuuhhhhuh?
5/3876
Two letters picked without replacement from {o: 2, g: 5, i: 11, z: 1}. What is prob of sequence oi?
11/171
Calculate prob of sequence zulu when four letters picked without replacement from jjzuluuux.
1/252
What is prob of sequence jnnj when four letters picked without replacement from {j: 9, n: 10}?
45/646
Three letters picked without replacement from {r: 3, s: 3, w: 4, y: 4, d: 2, g: 1}. What is prob of sequence ysy?
3/340
Calculate prob of sequence hhh when three letters picked without replacement from {h: 3}.
1
What is prob of sequence qgqg when four letters picked without replacement from qbngwwn?
0
Three letters picked without replacement from pppppppppvv. Give prob of sequence ppv.
8/55
Four letters picked without replacement from {i: 1, r: 3, t: 3}. Give prob of sequence trrt.
3/70
Two letters picked without replacement from uuiuinini. What is prob of sequence ii?
1/6
Three letters picked without replacement from dlguz. What is prob of sequence dgu?
1/60
Calculate prob of sequence yu when two letters picked without replacement from uurjijwuijyu.
1/33
Three letters picked without replacement from {v: 17, t: 2}. What is prob of sequence vtv?
16/171
Four letters picked without replacement from {x: 1, c: 4, y: 1, p: 3, j: 2, a: 1}. What is prob of sequence papc?
1/495
Three letters picked without replacement from sssspssspssp. What is prob of sequence sss?
21/55
What is prob of sequence iiia when four letters picked without replacement from {a: 18, i: 1}?
0
Calculate prob of sequence jdj when three letters picked without replacement from {r: 4, j: 3, d: 1, w: 11}.
1/969
Three letters picked without replacement from {h: 5}. Give prob of sequence hhh.
1
Three letters picked without replacement from {z: 2, p: 1, x: 2, f: 7, i: 1, t: 2}. What is prob of sequence ifp?
1/390
Three letters picked without replacement from {c: 5, x: 4, w: 1, b: 6, h: 4}. Give prob of sequence xch.
2/171
Calculate prob of sequence gng when three letters picked without replacement from {y: 1, g: 1, n: 1, f: 1, k: 1}.
0
Two letters picked without replacement from ytbbitybiiityybyiti. Give prob of sequence yi.
5/57
Four letters picked without replacement from gggguuvioguvvgguugi. What is prob of sequence guig?
35/5814
Two letters picked without replacement from {w: 2, c: 8}. Give prob of sequence wc.
8/45
Calculate prob of sequence ff when two letters picked without replacement from {f: 9}.
1
Three letters picked without replacement from {y: 3, x: 3, b: 2, i: 3, m: 3}. Give prob of sequence iim.
3/364
Three letters picked without replacement from {f: 4, p: 1, m: 1, z: 7}. Give prob of sequence zzf.
14/143
Two letters picked without replacement from {n: 4, x: 2, f: 2, k: 4}. What is prob of sequence fx?
1/33
Calculate prob of sequence zaa when three letters picked without replacement from ggagwawgggwz.
1/660
Calculate prob of sequence kcx when three letters picked without replacement from xnkzkpzc.
1/168
Calculate prob of sequence xx when two letters picked without replacement from xxci.
1/6
What is prob of sequence kxkx when four letters picked without replacement from {x: 4, k: 2}?
1/15
What is prob of sequence iia when three letters picked without replacement from {a: 14, i: 5}?
140/2907
Two letters picked without replacement from sssssee. Give prob of sequence se.
5/21
Three letters picked without replacement from iiiiiipi. What is prob of sequence iip?
1/8
What is prob of sequence aaiz when four letters picked without replacement from {a: 3, i: 4, z: 1}?
1/70
Calculate prob of sequence pap when three letters picked without replacement from appappaaapappppppp.
11/68
Calculate prob of sequence xxxv when four letters picked without replacement from vvxvvvxvvxvxvvvx.
11/728
Three letters picked without replacement from {f: 1, v: 5, s: 4, n: 4, r: 5}. What is prob of sequence vfv?
10/2907
Three letters picked without replacement from {w: 1, l: 1, g: 1, t: 1, f: 1, x: 2}. Give prob of sequence lxg.
1/105
Calculate prob of sequence az when two letters picked without replacement from coaddodqoazddoccadc.
1/114
Four letters picked without replacement from jjyyyjyyyyyyyyyjyjyy. Give prob of sequence jjjy.
5/646
What is prob of sequence ccic when four letters picked without replacement from ccccccccciccccccccc?
1/19
Two letters picked without replacement from {f: 1, t: 6, u: 3, d: 3}. Give prob of sequence fu.
1/52
Calculate prob of sequence hh when two letters picked without replacement from yeehmmyhehehmhhymyye.
3/38
Three letters picked without replacement from {o: 1, n: 1, f: 2, y: 2}. What is prob of sequence yyo?
1/60
Three letters picked without replacement from azzazalzl. What is prob of sequence lal?
1/84
Calculate prob of sequence nk when two letters picked without replacement from {k: 5, n: 14}.
35/171
Four letters picked without replacement from zzzazzazz. What is prob of sequence zaaz?
1/36
What is prob of sequence llhl when four letters picked without replacement from zllzzhzhllhz?
1/165
What is prob of sequence gesl when four letters picked without replacement from {h: 2, g: 8, l: 2, e: 1, s: 2}?
4/4095
Calculate prob of sequence hhgg when four letters picked without replacement from ghssgggsh.
1/126
Three letters picked without replacement from {w: 2, g: 1, j: 1, x: 5, h: 1, q: 3}. What is prob of sequence gxq?
5/572
Calculate prob of sequence zky when three letters picked without replacement from zzktkankynkn.
1/165
Three letters picked without replacement from {s: 1, q: 5, e: 5}. Give prob of sequence seq.
5/198
What is prob of sequence mgmg when four letters picked without replacement from ggmmgggmggg?
7/165
Calculate prob of sequence ohhh when four letters picked without replacement from {o: 14, h: 4}.
7/1530
What is prob of sequence bsb when three letters picked without replacement from albalblsbsslbll?
6/455
Calculate prob of sequence wwrk when four letters picked without replacement from wjwkpkkrkkww.
1/198
Two letters picked without replacement from {e: 6, o: 4, a: 2}. What is prob of sequence oo?
1/11
Three letters picked without replacement from fvgffkfvfkfk. Give prob of sequence gfk.
3/220
What is prob of sequence wl when two letters picked without replacement from {a: 1, w: 2, z: 2, d: 5, l: 4}?
4/91
Calculate prob of sequence bd when two letters picked without replacement from bbbbddbbb.
7/36
Two letters picked without replacement from {s: 1, a: 2, q: 1, b: 2}. Give prob of sequence bs.
1/15
Two letters picked without replacement from {u: 1, t: 1, c: 1}. What is prob of sequence ct?
1/6
What is prob of sequence xgjx when four letters picked without replacement from mguuxjmg?
0
What is prob of sequence ivv when three letters picked without replacement from ivvvvdviviiiviv?
8/65
What is prob of sequence bbi when three letters picked without | {
"pile_set_name": "DM Mathematics"
} |
**3 + 3*w**2 - 2*w + 3. Let p be c(2). Let v be 206/8 - p/4. Suppose 3*y - v = y - 3*h, -y + 8 = 3*h. Does 14 divide y?
False
Let k = 116 + -77. Is 3 a factor of k?
True
Let z = 129 - 54. Does 12 divide z?
False
Suppose 3*x + 20 = 4*k, -3*x + 4*x + 15 = 3*k. Suppose -312 = -4*l - x*l. Does 16 divide l?
False
Let x = -4 - -24. Does 5 divide x?
True
Suppose 4*i - 228 = -0*i. Does 13 divide i?
False
Let f be 1/(3 + (-28)/8). Does 20 divide (f + 32)/(15/20)?
True
Let k be 0/(-1) + (-1 - -11). Let l = -4 + k. Is (-2 - -1*l)*6 a multiple of 12?
True
Let a = 335 + -189. Is 7 a factor of a?
False
Let k = -5 + 7. Let u be 3 + 4 + -3 + -2. Suppose -k*h + u*i + 34 = -3*i, 10 = -5*i. Does 12 divide h?
True
Let x(g) = 2*g**3 + 37*g**2 - 22*g - 10. Is 47 a factor of x(-19)?
True
Let b(a) = -1. Let g(h) be the third derivative of h**5/60 - h**4/24 - h**3/2 - h**2. Let p(d) = -5*b(d) + g(d). Is p(6) a multiple of 11?
False
Let c(l) = -1 - 3 + 2*l + l**2 + 2*l**3 + 0 - 3*l**3. Is c(-3) a multiple of 13?
True
Let h(y) = -y**2 + 4 + 0*y**2 + 0*y**2 + 8*y. Let g be h(8). Suppose -g*d + 112 = -12. Does 13 divide d?
False
Let l = -458 - -742. Suppose -l = -8*w + 4*w. Is 27 a factor of w?
False
Let k(q) = q**3 - 15*q**2 + 25*q + 18. Is k(13) a multiple of 2?
False
Let t(k) = 2*k**2 + 4*k - 1. Let d(c) = 15*c. Let z be d(1). Suppose 2*h - 7 = 3*b + 2, -4*h - z = 5*b. Is 5 a factor of t(b)?
True
Let v = -95 + -63. Let p = -112 - v. Is 16 a factor of p?
False
Let u = -34 + 133. Is 33 a factor of u?
True
Let j(f) = -f + 10. Let i be j(8). Suppose 6*y = i*y + 92. Does 9 divide y?
False
Suppose 4*f = 2*f + 4, 3*z + 3*f = 738. Suppose 5*k + 5*p - 244 = k, 0 = 4*k - 5*p - z. Let w = -37 + k. Does 12 divide w?
True
Let j(b) = -b**3 + 21*b**2 + 3*b - 3. Is j(21) a multiple of 6?
True
Let x be (-2)/(-9) + (-14)/(-18). Is 4 + (x - 3/1) a multiple of 2?
True
Suppose -2*f - 16*f + 2232 = 0. Is f a multiple of 31?
True
Is 16 a factor of 110 + 0 + 6/3?
True
Suppose 6 = -2*d, 0 = 5*p - 5*d - 45 - 90. Does 8 divide p?
True
Let l(o) = -o**2 - o + 88. Does 22 divide l(0)?
True
Suppose 0 = 5*l - 0 + 5. Let w = -1 + l. Is 0 + 14*w/(-2) a multiple of 7?
True
Let p = 21 + -12. Does 7 divide p?
False
Suppose -9*h + 333 = -153. Is 14 a factor of h?
False
Suppose -5*u + 10*u = 25, y - 7 = -3*u. Let o(d) be the first derivative of -d**3/3 - 4*d**2 + 4*d - 2. Is o(y) even?
True
Suppose -2*j + f = -j - 5, 0 = -f - 3. Let u be -2 - j*(-10)/2. Is 4 a factor of (1*u)/(3/3)?
True
Let s(c) = -7*c - 6. Is s(-5) a multiple of 17?
False
Suppose -14*j = -13*j - 27. Is 14 a factor of j?
False
Suppose -7 = -h - 0. Suppose -4*s - h - 21 = 4*g, -2*g + 2*s = -2. Is 2/3 + (-52)/g a multiple of 8?
False
Let q(p) = -p**2 + 8*p - 8. Let r be q(6). Suppose -r*h = -20, 2*x - 31 - 19 = -2*h. Is 12 a factor of x?
False
Does 34 divide (9/(-2))/((-13)/390)?
False
Let z = 3 + 3. Is z a multiple of 6?
True
Does 20 divide ((-330)/21)/(4/(-28))?
False
Let l(u) = -2*u**3 + 3*u**2 + 2*u - 3. Let j be l(3). Let n = j + 17. Does 7 divide 1*n*2/(-2)?
True
Let v = 1 + -2. Does 6 divide 13 - (v/(-1) - -2)?
False
Let i be 42/9 - (-2)/6. Let l(s) = -i*s - s**3 + 17 + s**2 + 5*s. Is l(0) a multiple of 11?
False
Suppose -3*v - 2*v = -35. Suppose -s = 3 - v. Is s/(-6)*-54*1 a multiple of 18?
True
Suppose -5*n + 11 = -4. Suppose -n*o - 21 = -54. Let g = o + -3. Does 4 divide g?
True
Let n = 4 + 20. Does 24 divide n?
True
Suppose 138 = 3*m + 4*v, 9*v + 153 = 4*m + 4*v. Does 14 divide m?
True
Let c(h) = -h**3 + 3*h**2 + 2*h - 14. Does 16 divide c(-6)?
False
Let z(f) = 3 - 4*f**3 - 2*f - 8*f**3 - 2*f**2 + 6*f + 11*f**3. Let k(o) = -o**3 - 9*o**2 - 6*o + 11. Let s be k(-8). Is 23 a factor of z(s)?
False
Let j(b) = -b**3 - b**2 + 2*b + 2. Let y be j(-2). Suppose -4*u = -y*u + 12. Let o = u + 8. Is o even?
True
Let n be 2/((5 + -2)/(-66)). Let p = -4 - n. Is 23 a factor of p?
False
Let v(q) = -5*q + 9*q + 8*q. Does 4 divide v(1)?
True
Suppose -4*z = -2*i + 22, -i + 4*z = -z - 17. Let s = i - 11. Is 6/(s + 1) - -17 a multiple of 9?
False
Suppose 0*f = -5*f. Suppose 0 = 4*h - 12, 0 = -f*i + i - h. Suppose i = z - 12. Does 15 divide z?
True
Is 15 a factor of 2/((-612)/309 - -2) - -2?
True
Let f(m) = m**3 + 6*m**2 + 5. Let u be f(-6). Let s be (18/u)/((-2)/(-10)). Is 18 a factor of s*(1 + 0/2)?
True
Let o be 7/(-2) - (-27)/18. Let p(t) = -2*t**3 + t - 2. Is p(o) a multiple of 6?
True
Let m(g) = g**3 + 4*g**2 - 6*g - 4. Suppose 0 = -2*b - 5 - 5. Let w be m(b). Let d(k) = 12*k**3 - k**2. Is 11 a factor of d(w)?
True
Suppose 4*r + 108 = r. Let a be (-172)/r - 4/(-18). Suppose -a*q = -24 - 11. Does 7 divide q?
True
Let b(m) = -m**2 - 7*m - 5. Is 2 a factor of b(-2)?
False
Let j be (-2)/(-3)*(-99)/6. Let w = j - -18. Is w a multiple of 2?
False
Suppose 0 = 2*i + 5 + 1. Let l = -3 + i. Is 15 a factor of (68/l)/(2/(-3))?
False
Let t(s) = -3*s - 6. Let c be t(-5). Suppose -3*g + 4*k = 10, 4*k - k - 1 = -g. Does 12 divide (c/12)/(g/(-64))?
True
Let a(r) = 5*r**2 + 2*r + 8. Let s(j) = -11*j**2 - 4*j - 17. Let t(l) = -13*a(l) - 6*s(l). Does 13 divide t(5)?
True
Suppose 2*c - w - 6 = 0, -w + 4*w = -12. Suppose 3*x - c - 23 = 0. Is 4 a factor of x?
True
Let q = 29 - 26. Suppose q*l - 29 = 112. Is 7 a factor of l?
False
Let q = 26 + -47. Let u be (-12)/4 + 7 - -26. Let x = q + u. Is 6 a factor of x?
False
Let o(l) = -l. Let w(j) = -4*j + 9. Let f(m) = 3*o(m) - w(m). Let a be f(11). Suppose 4*h = a*h + 20. Does 4 divide h?
False
Let l(v) = 3*v + 3. Let i = -11 - -14. Suppose -o + 10 = i. Does 11 divide l(o)?
False
Suppose -18 = -2*g + 4. Let v(b) = b - 12. Let z be v(5). Let i = z + g. Is i a multiple of 3?
False
Suppose -5*n - 249 = -5*p - 24, -3*p - 3*n = -129. Does 22 divide p?
True
Let p = 2 + 30. Is 7 a factor of p?
False
Suppose -5*k = 2 + 43. Does 16 divide (k + 3)*22/(-6)?
False
Suppose 6 = 4*k - 3*y + 15, -5*k + 5*y - 15 = 0. Suppose k*c = 5*n + 5*c, -2*c - 2 = n. Suppose -v = n - 14. Is v a multiple of 12?
True
Let q = -6 - -10. Suppose -3*s = -q*d - 40, 26 = 4*d - 4*s + 70. Let z(x) = -4*x - 8. Is z(d) a multiple of 13?
False
Let k(f) = -f**3 - 6*f**2 + 6. Let i be k(-5). Let w = -8 - i. Let h = 16 - w. Does 3 divide h?
False
Suppose 5*c - 8 = g + 36, 4*g + 5*c = -151. Let s = g + 57. Is 12 a factor of (9*2)/(s/24)?
True
Let u be 4/6 + (-16)/(-3). Let m = u + -3. Is m a multiple of 3?
True
Let u = -32 + 10. Let v(p) = 3*p - 1. Let i be v(1). Is u/(-10) - i/10 even?
True
Let q(a) = -a**3 + 11*a**2 + 5*a - 7. Is q(11) a multiple of 16?
True
Let q(t) = -t + 1. Let x(w) = 9*w - 10. Let v(y) = -2*q(y) + x(y). Let l be v(8). Suppose -6*d = -2*d - l. Is 19 a factor of d?
True
Suppose f = -q + 24, 0 = -4*f - 20 - 0. Let h(x) = 23*x**3 + x**2 - 2*x + 1. Let o be h(1). Suppose o = 4*c - q. Does 13 divide c?
True
Suppose -5*a + 3*r = -761, a = 5*a + 3*r - 598. Is a a multiple of 21?
False
Let o be 12*(4 - (-55)/(-15)). Let f(h) = -h**3 + 3*h**2 + 5*h + 3. Let d be f(-3). Suppose -l = -d + o. Is 18 a factor of l?
False
Suppose -2*a - 5*b + 31 = 0, -14 = 2*a - 2*b - 2*b. Suppose 0 = 3*r - p - 20, r - 2*p = a*r - 24. Does 5 divide r?
False
Suppose -2*g - 24 = -6. Is (-3)/g + 256/6 a multiple of 20?
False
Let t(b) = b**3 + 8*b**2 - 3*b - 9. Is t(-6) a multiple of 20?
False
Let q be (30/(-8))/((-9)/24). Suppose -n + q = -0. Is 4 a factor of n?
False
Let k(q) = q**3 + 7*q**2 + 4*q. Does 3 divide k(-6)?
True
Suppose -12 = 3*y - 93. Suppose 3*n - y = -l, 0*l - 5*l = -4*n - 135. Does 9 divide l?
True
Suppose -2*a + 4*a = 5*n - 60, 2*a + 2*n = -60. Is 19 a factor of 76/3*a/(-20)?
True
Let k(y) = 2*y**3 - 2*y**2 + y - 4. Let i(a) = -2*a**3 + a**2 - a + 4. Let f(j) = 3*i(j) + 4*k(j). Does 12 divide f(4)?
True
Let n(d) = 9*d - 1. Does 13 divide n(3)?
True
Let v = -5 - -6. Let l(d) = -v + 2 + 2 - d**3 - 5*d**2. Is 3 a factor of l(-5)?
True
Let l(b) = -b**3 - 3*b**2 - 3*b. Let r be l(-3). Let v = -1 + 6. Suppose -r = -v*j + 31. Is j a multiple of 8?
True
Let d(w) = -w**2 - 9*w + 4. Let f be d(-9). Suppose 35 = h + f*h. Let q(z) = z**3 - 7*z**2 + 3*z - 6. Is 9 a factor of q(h)?
False
Suppose 239 = 9*u - 121. Is u a multiple of 20?
True
Let c = -4 - -6. Suppose 0*w = -2*o + w - 113, 2*o = c*w - 108. Let p = o - -98. Does 16 divide p?
False
Does 7 divide (-1)/(-3)*(21 + 0/ | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of -27*t + 0 + 1/6*t**4 - t**2 + 0*t**3. Give c(o(g)).
-288*g**2
Let f(d) be the first derivative of -d**3 + 2. Let q(a) = 15*a + 56. Let l = 50 + -55. Let t(n) = 10*n + 40. Let g(h) = l*q(h) + 7*t(h). Calculate f(g(v)).
-75*v**2
Let f(x) = -x**2 - 4. Let k(l) = 3*l**2 + 4. Let t(c) = -f(c) - k(c). Let v(j) = 1101*j. Calculate t(v(o)).
-2424402*o**2
Let u(s) = -295*s + 7987. Let o(c) = c**2. Give u(o(g)).
-295*g**2 + 7987
Let i(h) = -48*h. Let b(g) = 4740*g + 0*g**2 + 2*g**2 + 4734*g - 12*g**2 - 9478*g. Calculate i(b(k)).
480*k**2 + 192*k
Let k(l) = 6287*l + 1. Let z(m) = m**2 - 60*m. Determine k(z(t)).
6287*t**2 - 377220*t + 1
Let l(t) be the first derivative of 3*t**2/2 + 2. Let w be (((-220)/6)/(-5))/((-9)/(-54)). Let r(m) = -44*m + m**2 + 3*m**2 + w*m. Determine r(l(v)).
36*v**2
Suppose -2*o - 18756 = -14*o. Let f(z) = 1581*z - 3159*z + o*z. Let j(g) = -3*g**2. Determine f(j(w)).
45*w**2
Let x(l) = -9*l + 13. Let k(h) = 4*h - 6. Let n(a) = -13*k(a) - 6*x(a). Suppose -s - 420 = -7*s. Let p(w) = -139*w + 68*w - 13 + s*w. What is n(p(u))?
-2*u - 26
Suppose 9 = -13*z + 35. Let l(q) = -2*q - q + 24 - 2*q - z + 2*q. Let h(b) = b**2. Determine h(l(a)).
9*a**2 - 132*a + 484
Let i(w) be the first derivative of -13*w**2/2 + 6607. Let l(q) = 7*q**2. Let h(g) = g**2. Let s(z) = -h(z) + l(z). What is i(s(y))?
-78*y**2
Let p(h) = 23*h. Let u(x) = -1434644*x**2 - x. What is p(u(d))?
-32996812*d**2 - 23*d
Let j(k) = k**2. Let p(o) = -119*o**2 - 262 - 176*o**2 + 2*o + 262. What is p(j(z))?
-295*z**4 + 2*z**2
Let r(z) = 30*z. Let f(g) = -254*g + 417 + 212*g - 417. Give f(r(l)).
-1260*l
Let p(f) be the second derivative of f**3/6 - 7*f**2 + 3017*f. Let l(q) = -8*q**2. What is l(p(r))?
-8*r**2 + 224*r - 1568
Let p(o) = -5*o. Suppose -2*t = -z + 2*z - 35, 37 = 2*t + 3*z. Let f(g) = 10*g**2 - 23*g + 40*g - t*g. Calculate f(p(y)).
250*y**2
Let h(o) = -2*o**2 + 45028*o. Let b(p) = -p**2 - 159. Calculate h(b(u)).
-2*u**4 - 45664*u**2 - 7210014
Let r = 1965 - 1965. Let i(q) be the third derivative of 0*q**3 + r*q - q**2 + 0 + 1/8*q**4. Let z(c) = -11*c. Give i(z(h)).
-33*h
Let c(o) = -3*o. Let m(g) = 2 - 2 - 43*g**2 + 1045*g - 1048*g. Calculate m(c(s)).
-387*s**2 + 9*s
Let v(n) = -4*n**2. Let h(q) = -9*q + 2. Let o be h(0). Let r(y) = -11*y**2 - 13*y**o + 1946 - 1946. What is r(v(a))?
-384*a**4
Let j(h) = -4*h**2 + 730*h + 6. Let q(k) = 2*k**2 - 730*k - 4. Let y(f) = 2*j(f) + 3*q(f). Let m(r) = -r**2. Calculate y(m(n)).
-2*n**4 + 730*n**2
Let g(l) = 114*l - 5 + 5 - 112*l. Let w(f) = -10 - 128*f + 36*f + 25*f + 33*f + 23*f. Give g(w(k)).
-22*k - 20
Let c(x) = 25*x - 2. Let s(w) = -5*w + 2. Let o(q) = c(q) + s(q). Let v(g) = 8*g**2. What is v(o(j))?
3200*j**2
Let i(a) = 9*a. Let d(j) = -376*j - 1577. Calculate d(i(w)).
-3384*w - 1577
Let l(g) = 87682*g**2. Let c(w) = 1313*w. Determine l(c(o)).
151161049858*o**2
Let j(y) = -4*y. Let r(t) be the first derivative of -4*t**3/3 - 99*t + 2040. What is r(j(x))?
-64*x**2 - 99
Let l(p) = 2*p - 50. Let n(o) = 3*o - 20. Let v(f) = -2*l(f) + 5*n(f). Let u(j) = -2 + 6 + 7*j**2 - 4. What is v(u(q))?
77*q**2
Let g(v) = 366*v - 2. Let b(d) be the first derivative of -4*d**3/3 - 1575. What is b(g(f))?
-535824*f**2 + 5856*f - 16
Let b(z) = 68*z. Let a(j) be the second derivative of -7*j**4/4 + 77*j. Determine a(b(h)).
-97104*h**2
Let z(i) be the second derivative of 13*i**3/3 - 4437*i - 2. Let a(w) = -191*w. What is z(a(p))?
-4966*p
Let b(h) = -h + 30 + 28 - 4*h - 68 + 0*h + 7*h. Let d(a) = 1. Let j(u) = u - 2. Let n(y) = -2*d(y) - j(y). Determine n(b(t)).
-2*t + 10
Suppose -5*i + 33 = -3*t, 0 = -t - 2*i - 2*i + 6. Let k(f) = f - 2. Let l(h) = 4*h - 12. Let d(o) = t*k(o) + l(o). Let r(x) = -2*x**2. Determine d(r(y)).
4*y**2
Let y(d) be the third derivative of 291*d**4/8 - 2919*d**2. Let q(x) = 4*x. Give q(y(j)).
3492*j
Let x(k) = -2*k. Let l(c) = -c - 5. Let j be (-111)/12*2*(-1 + 5). Let a = j - -69. Let g(d) = 3. Let n(u) = a*g(u) - 3*l(u). What is n(x(t))?
-6*t
Let u(c) = 38*c + 2542317. Let s(g) = 2*g. Give u(s(n)).
76*n + 2542317
Let h(f) be the first derivative of 10/3*f**3 + 0*f**2 + 57 + 0*f. Let k(v) = -6*v. Determine k(h(u)).
-60*u**2
Let b(f) = -7*f. Let m(l) = 3*l. Let j(o) = -2*b(o) - 5*m(o). Let z(n) = 110*n. Let i(c) = -2859*c + 4. Let p(a) = i(a) + 26*z(a). Give j(p(d)).
-d - 4
Let w(g) = 2*g. Suppose 129*p - 2606 + 149 = 12*p. Let i(o) be the second derivative of 0*o**2 + 29/6*o**3 + 0 - p*o. What is i(w(r))?
58*r
Let t(v) = 7398*v. Let r(u) = 3*u**2 - 7*u - 2. Let h(c) = -20*c**2 + 42*c + 12. Let x(b) = -h(b) - 6*r(b). Calculate x(t(y)).
109460808*y**2
Let x(v) = -2*v. Let r(l) = 60*l. Suppose 3*q = -3*f + 327, 2*f + 2*f - 3*q = 457. Let d(w) = f*x(w) + 4*r(w). Let y(k) = 12*k**2. Calculate y(d(t)).
3072*t**2
Let o(t) = -4*t. Let r(p) = -59*p**2 - 6607*p. What is o(r(i))?
236*i**2 + 26428*i
Let b(h) = 16224*h**2 - 3. Let d(r) = 55*r. Determine d(b(s)).
892320*s**2 - 165
Let x(z) be the second derivative of -z**4/3 + 2*z - 910. Let f(c) = -387*c + 1. What is x(f(b))?
-599076*b**2 + 3096*b - 4
Let p(y) = 135*y. Let h(s) = -548122*s. Determine p(h(k)).
-73996470*k
Let q(r) = -974741*r**2. Let w(s) = 6*s**2. What is q(w(o))?
-35090676*o**4
Let a(h) be the first derivative of -30*h**3 - 12*h + 127. Let c(g) = g**2. Determine c(a(i)).
8100*i**4 + 2160*i**2 + 144
Let g(y) = 2*y**2 + 322*y - 1. Let n(j) = -533*j. Give n(g(c)).
-1066*c**2 - 171626*c + 533
Let j(h) = 69*h**2 + 0 - 2 + 480*h - 1 - 480*h. Let f(o) = 6*o. Calculate f(j(s)).
414*s**2 - 18
Let f(r) = -r. Let z(d) = -89*d**2 + 3*d. Let u(y) be the first derivative of 2967*y**3 - 301*y**2/2 - 63. Let h(g) = 3*u(g) + 301*z(g). Calculate f(h(b)).
86*b**2
Let v(r) = -157520*r - 390. Let c(w) = -4*w**2. What is v(c(j))?
630080*j**2 - 390
Let l(k) = -938*k**2. Let c(f) be the third derivative of f**4/24 - 24*f**2 + 4. What is l(c(s))?
-938*s**2
Let y(v) = 8*v + 11. Let c be 10/3*(-6)/(-5). Let b be y(c). Let f(x) = -43 + b + 2*x**2. Let q(t) = -6*t. What is q(f(o))?
-12*o**2
Let h(p) = 6*p. Let d(q) be the second derivative of q**4/12 + 5*q**3/6 - 52*q - 2. Let v(k) = 3*k**2 + 6*k. Let g(f) = 6*d(f) - 5*v(f). Determine h(g(z)).
-54*z**2
Let j(h) = -2*h**2. Let w(f) be the third derivative of -3*f**5/4 + 1249*f**2. Give w(j(u)).
-180*u**4
Let r be (-4 - -6) + 40/(-5)*-13. Let f(g) = -2 + 2 + 108*g - r*g. Let c(s) = 17*s**2 + 3*s. Calculate f(c(q)).
34*q**2 + 6*q
Let a(t) = 3*t - 51. Let q(c) = -c**2 - 296*c + 3. Determine q(a(b)).
-9*b**2 - 582*b + 12498
Let b(h) = -1476*h**2. Let g(c) = 2*c**2 - 9*c - 6. Let s(z) = -10*z**2 + 42*z + 28. Let o(n) = 14*g(n) + 3*s(n). What is o(b(d))?
-4357152*d**4
Let r(a) = 56*a. Let w(b) = -9*b**2 + 4*b - 56. Let k(z) = -80*z**2 + 35*z - 490. Let m(y) = -4*k(y) + 35*w(y). Give r(m(h)).
280*h**2
Let z(u) = -5414639*u. Let g(q) = -31*q. Calculate z(g(x)).
167853809*x
Let c = -9402 + 9407. Let k be 2/2 - (1 - 8). Let w(j) = 14*j - 8. Let p(z) = -9*z + 5. Let d(l) = c*w(l) + k*p(l). Let u(x) = -9*x**2. Calculate d(u(s)).
18*s**2
Let p(n) be the first derivative of -n**6/180 - 29*n**3 + n**2 + 93. Let y(m) be the third derivative of p(m). Let j(g) = -77*g. Calculate j(y(k)).
154*k**2
Let p(d) = -16*d**2. Let a(g) = -g. Let u(y) = -y. Let b(h) = 7*h + 5. Let x be b(-2). Let j = -3 - x. Let f(o) = j*u(o) - 5*a(o). Calculate f(p(r)).
16*r**2
Let o(g) = 3*g - 18*g**2 - 3*g + 8*g**2. Let a(n) = -6464*n**2 - 6465*n**2 + 12931*n**2. Determine o(a(p)).
-40*p**4
Let g(s) = -7*s - 11. Let d(h) = -6482*h**2 - 3. Determine g(d(a)).
45374*a**2 + 10
Let f(x) be the first derivative of -4*x**3/3 + 738. Let i(o) = 328*o. Calculate f(i(z)).
-430336*z**2
Let l(q) = -34*q**2 - 16*q - 2. Let f(i) = -170*i**2 - 88*i - 11. Let c(u) = 2*f(u) - 11*l(u). Let s(k) = k - 28. What is s(c(n))?
34*n**2 - 28
Let t(g) = 3363*g**2. Let c(p) = 10435*p - 20869*p + 10432*p - 4 + 4. Give c(t(x)).
-6726*x**2
Let t(p) = 237 + 4*p**2 + 6*p**2 - 237 - 4*p**2. Let f(l) = -9*l**2 - 4*l - 4. Let y(x) = x**2 + x + 1. Let z(d) = f(d) + 4*y(d). Give t(z(j)).
150*j**4
Let k(x) be the second derivative of -x**4/12 - 158*x. Let t(a) be the first derivative of -11*a**2/2 - 2*a + 60. Calculate t(k(m)).
11*m**2 - 2
Let o(z) = 1439*z. Let d(k) = -4830*k. Calculate o(d(g | {
"pile_set_name": "DM Mathematics"
} |
t m = -0.1 + 0.2. Let r = 0.5 - m. Sort q, 4, r.
r, q, 4
Let b = -0.08 - -0.18. Let l = 5 - 12. Let f = -7 - l. Put b, f, 1/3 in decreasing order.
1/3, b, f
Suppose -u = -6*u + 15. Suppose 0 = -u*h + h. Sort h, -4, -2.
-4, -2, h
Suppose -4 = -5*d + 1, 5*d = 3*s - 7. Let m(z) = -z**3 + z + 2. Let k be m(0). Suppose -4*u + 1 = -k*c - 5, -u = -c. Sort s, c, -5 in decreasing order.
s, c, -5
Suppose 3*h - 5*m = -h + 5, 0 = 2*h - 5*m - 15. Suppose 2*q - 7*q + 15 = 0. Sort h, -4, q in descending order.
q, -4, h
Suppose 16 = -4*w, 3*i - 15 = 2*i + w. Let q = -15 + i. Put 3, q, 0 in decreasing order.
3, 0, q
Let m = -0.25 - -0.05. Sort 5, m, -7 in descending order.
5, m, -7
Let u(h) = h**3 - 6*h**2 + 7*h - 5. Let o be u(5). Sort -4, 4, o in ascending order.
-4, 4, o
Let f(a) = 2*a**2 - 3*a + 2. Let i be f(1). Sort -11, i, 0.
-11, 0, i
Suppose 0 = 2*i - 3*i - 1, 5*p + 4*i - 31 = 0. Let t be 3 - p/(21/24). Put t, -3, -2 in descending order.
-2, -3, t
Let f(k) = 2*k + 3. Let l be f(-3). Sort l, 2, -5.
-5, l, 2
Let b(d) = 6*d**3 - 2*d**2 + 2*d - 1. Let p be b(1). Let x(s) = -s**2 - 9*s - 6. Let j be x(-6). Suppose 3 = 5*a - j. Put p, a, -3 in decreasing order.
p, a, -3
Let s be -2 + (-4 + 1 - 62/(-14)). Put -5, 5, s, 4 in ascending order.
-5, s, 4, 5
Let o(h) be the second derivative of h**3/3 - 4*h**2 - 3*h. Let w be o(6). Put w, 1, -2 in descending order.
w, 1, -2
Suppose 0 = -5*m - 29 + 9. Sort m, -5, 3 in decreasing order.
3, m, -5
Let u be (1 - -5) + -3 + -1. Sort -2, -4, u.
-4, -2, u
Let c = -3 - -6. Let u = -2 + c. Let z(s) = s**2 - 9*s + 13. Let g be z(6). Sort 2, g, u.
g, u, 2
Let h(n) = -n**3 - n**2 - n - 1. Let p be h(-1). Suppose 2*w - 6*w + 5*g + 17 = 0, 0 = 3*w - g + 1. Put 5, p, w in descending order.
5, p, w
Suppose -2*y - 7 + 1 = 0. Suppose 2*m = 5*h + 22, -m - 10 = 3*h + 1. Let k(t) = -t**2 + 7*t - 1. Let w be k(6). Put y, h, w in descending order.
w, y, h
Let q(v) = -v**3 - 5*v**2 - 2*v - 1. Let p be q(-5). Let s = -13 + p. Sort 0.4, 1/2, s.
s, 0.4, 1/2
Let s = 6 - 11. Let a be (-2)/6 - (-4)/48. Put 2, s, a in ascending order.
s, a, 2
Let u = 0.123 - 2.053. Let w = u + -0.07. Sort -3/5, 2, w.
w, -3/5, 2
Let m(c) = 4*c**3 + c + 2. Let k be m(-1). Let q(a) = -5*a**2 + 2. Let t(w) = 6*w**2 - 3. Let f(x) = -5*q(x) - 4*t(x). Let b be f(0). Sort b, k, -2.
k, -2, b
Let f = 70 + -67. Sort -29, f, -5 in ascending order.
-29, -5, f
Let p(i) = -i**3 - 14*i**2 - 5. Let c be p(-14). Suppose 2*v + 22 = 4*j, -4*v + 1 = 3*j - 2*j. Put 3, c, v in decreasing order.
3, v, c
Let r = 1 + -29. Let o be (-22)/8 + (-21)/r. Let h = o + 2. Put -2, 4, h in descending order.
4, h, -2
Let q be (-58)/70 + (-2)/(-5). Suppose 3*p + 5*z = 2*p, 3*p + 2*z - 13 = 0. Let m be (3 - 25/10)/((-1)/(-6)). Sort m, q, p in increasing order.
q, m, p
Suppose 5 + 1 = -3*x. Sort x, 3, -4.
-4, x, 3
Let r = -4 - -3.9. Sort 3, r, -1/6 in descending order.
3, r, -1/6
Let c = -73 - -72.5. Let h be (-6)/4*4/27. Put -1/4, c, h in increasing order.
c, -1/4, h
Let s = 13.2 + -13. Let t = 1398 - 4453/3. Let d = -87 - t. Sort s, d, -0.4.
d, -0.4, s
Let n = -6 - -10.6. Let h = n - 5. Sort h, 1/4, 3 in increasing order.
h, 1/4, 3
Let z(n) = 5*n - 2. Let h(k) = k. Let j(x) = 4*h(x) - z(x). Let m be j(7). Sort m, 3, -2 in ascending order.
m, -2, 3
Suppose -4*x = -5*x + 1. Sort 0, x, 3.
0, x, 3
Let y = -14 + 21. Sort y, -2/7, 0.3 in increasing order.
-2/7, 0.3, y
Let f = 2 - 1.7. Let p be 18/153 - 40/(-238). Sort p, f, -0.08.
-0.08, p, f
Let q = 7.3 - 7. Let m = 10 - 10.4. Sort m, q, 4 in decreasing order.
4, q, m
Let k be (-1)/(3/2 - 2). Let b be -2 - (4/k + -2). Let v = -15 - -17. Put -3, b, v in ascending order.
-3, b, v
Let z = 145 - 147. Sort 4, 4/17, z in descending order.
4, 4/17, z
Suppose 5*u - 27 - 33 = 0. Let o be (10/(-28))/(u/3262). Let x = -97 - o. Sort 0, x, -2 in decreasing order.
x, 0, -2
Let j = -0.64 - 4.36. Let x = -7/4 + 25/12. Put x, 0, j in descending order.
x, 0, j
Let h = -13 + 24. Let l = h + -10.7. Put 4/7, l, 1/7 in decreasing order.
4/7, l, 1/7
Suppose -2*q + 5*q = -4*d - 20, 3*d = 4*q - 15. Let u be (-3)/(-1) + 39/(-12). Sort u, d, -1/6.
d, u, -1/6
Let d be 2/(-8) + 38/(-8). Let x(b) = -3*b - 63. Let l be x(-22). Sort l, d, 1 in decreasing order.
l, 1, d
Let p(s) = s**2 + 2*s - 3. Let o be p(2). Suppose -5*m + d - 20 = 0, -4*m + 15 = 4*d + 55. Let a = m + 3. Sort a, o, -5.
-5, a, o
Let g = -111 - -102. Put -4, 1, 5, g in increasing order.
g, -4, 1, 5
Let c be (-1)/(1/26) + 2. Let k be 5/2*c/(-330). Sort 0, 5/4, k in decreasing order.
5/4, k, 0
Suppose 0 = -7*i + 3*i + 12. Sort -5, -4, i in increasing order.
-5, -4, i
Let a(w) = w**3 + 6*w**2 - 6*w + 4. Let n be a(-7). Let t = n + 3. Put t, -5, 4 in descending order.
4, t, -5
Suppose 4*n + 2 = -5*v - 0, -n + 2 = 0. Sort -1/4, v, -2/7, -0.7.
v, -0.7, -2/7, -1/4
Let m(i) = -i**2 + 7*i - 2. Let n be m(7). Let p be 0 + (-3 - (n + 0)). Put 3, 1, p in ascending order.
p, 1, 3
Let n = -2/25413 + 21753646/1499367. Let q = 1/118 - n. Let p = -13 - q. Sort -0.4, p, -5.
-5, -0.4, p
Let r = -120 - -122. Let d = 10 - 7. Sort d, 1, r in increasing order.
1, r, d
Suppose -17 = -3*g - 26. Put 1, -2, g in decreasing order.
1, -2, g
Let c = 28 + -26.1. Let t = -2 + c. Let l = -7 - -3. Put 3, l, t in increasing order.
l, t, 3
Let r = -5.11 + 0.11. Let p = r + 9. Put -0.5, 3, p in decreasing order.
p, 3, -0.5
Let w(b) = b**3 - b**2 - 5*b + 2. Let g be w(3). Put -4, g, 12 in ascending order.
-4, g, 12
Suppose 17 = 4*b - 3. Sort -3, b, 2 in decreasing order.
b, 2, -3
Suppose -3*m + m = 6. Let w(i) = i**3 + 3*i**2 + i + 3. Let z be w(m). Suppose -3*s + 21 = 3*f - z*s, 3*f - 31 = -5*s. Sort -2/3, -5, f in descending order.
f, -2/3, -5
Let c(p) = -p - 16. Let u be c(-15). Let m = 0.04 + -0.1. Put -1/3, m, u in descending order.
m, -1/3, u
Let r = 69 - 69. Let p be (4/(-3))/((-2)/3). Sort p, r, -0.4 in ascending order.
-0.4, r, p
Suppose 3*k - 31 = 4*d, 4*d + 36 = k + 3*k. Suppose 4*r - 4*m + 32 = 0, m - 3*m = -k*r - 37. Let y(a) = a**3 + 8*a**2 + 6*a - 2. Let u be y(r). Sort 2, u, 0.
0, 2, u
Let q = -42 + 47. Put 0, q, -5 in increasing order.
-5, 0, q
Let c be 4/6*(2 + 35/(-10)). Sort -0.2, c, -3/7, 3 in decreasing order.
3, -0.2, -3/7, c
Let j = 0 + -1. Let p = j + 1.05. Sort p, 2/23, 0.4 in ascending order.
p, 2/23, 0.4
Let c = 5 + -5.3. Let f = 7 - 11. Sort c, f, -2/9.
f, c, -2/9
Let k = 25 - 28. Sort k, 0, -2.
k, -2, 0
Let x(t) = t + 3. Let l(u) = 3*u + 2. Let b be l(-3). Let g be x(b). Suppose 0*m = -3*f + m - 12, -13 = 2*f + m. Sort g, f, -3 in descending order.
-3, g, f
Let w = 4 + -24. Let y = w + 15. Sort y, -3, 2/21 in increasing order.
y, -3, 2/21
Suppose -4*n = -3*m + 21, -5*n + 0*n - 27 = -4*m. Let h(j) = 4*j + 1. Let d be h(2). Suppose 3*l = d - m. Put 0, l, 5 in decreasing order.
5, l, 0
Let r be 6/15 + 8/(-120). Put r, -6, 1/4 in descending order.
r, 1/4, -6
Let s = 168 + -166. Let i(h) = -h + 1. Let q(c) = -6*c + 12. Let r(z) = -5*i(z) + q(z). Let a be r(3). Put a, s, 1 in ascending order.
1, s, a
Let f = -80 - -116. Let t be ((-2)/6)/((-3)/f). Suppose -5*d = 2*z - 5 + t, 4*d = 4*z - 16. Sort -2, z, 0 in descending order.
z, 0, -2
Suppose -2*v - 8 + 14 = 0. Let u(o) = -o + 15. Let y be u(10). Sort -1, y, v in increasing order.
-1, v, y
Let k be 1/3 - (-52)/(-168). Let j = k - -19/84. Let m = -1 - 2. Put j, 1, m in descending order.
1, j, m
Let i = 65 + -70. Sort -17, i, -4 in increasing order.
-17, i, -4
Let j = 13 - 9. Sort -2.3, j, -4.
-4, -2.3, j
Let h = 4.3 - 5. Let k = -4.7 - h. Sort 4, 2, k in decreasing order.
4, 2, k
Let w be (-488)/220 + (-4)/(-10) - -2. Put 1, 1/2, w in descending order.
1, 1/2, w
Suppose 0 = 3*u + 2*k + 13, -6*u + 9*u = 4*k - 1. Sort -1, 15, u in descending order.
15, -1, u
Let g = -6 - -5.99. Let s = 0.29 - g. Let x = 0.06 + 4.94. Sort s, x, 1/7.
1/7, s, x
Suppose -9 - 6 = 3*q. Put 6, q, 2 in decreasing order.
6, 2, q
Let l = 1.1 + -0.1. Let s = 1 - l. Let d = -2 + s. Sort -4, d, -2/7 in descending order.
-2/7, d, -4
Let j(c) = 9*c**3 + c**2. Let v be j(1). Put -2, v, 5, 2 in decreasing order.
v, 5, 2, -2
Let q = -1757/13 + 135. Let b = -8 - -10.07. Let i = b + -0.07. Put i, 0, q in ascending order.
q, 0, i
Suppose 0 = -5*y + 2*o - 17, 1 = -y + 2*o - 4. Let v(n) = -2*n + 6. Suppose 7*h = 3*h + 20 | {
"pile_set_name": "DM Mathematics"
} |
00466
Calculate the lowest common multiple of 1016 and 134.
68072
Find the common denominator of 89/38528 and -11/70.
192640
What is the least common multiple of 176850 and 675?
176850
What is the least common multiple of 959 and 21?
2877
Calculate the least common multiple of 399632 and 249770.
1998160
What is the common denominator of 71/153 and -169/8160?
24480
Find the common denominator of 43/143 and -9/3322.
43186
What is the common denominator of 2/50699 and 26/4609?
50699
Calculate the common denominator of -75/152 and -7/235.
35720
What is the common denominator of 23/87620 and 101/26960?
350480
Calculate the smallest common multiple of 6743 and 4291.
47201
What is the lowest common multiple of 1840 and 1288?
12880
Calculate the smallest common multiple of 25740 and 990.
25740
What is the least common multiple of 21942 and 4?
43884
Calculate the smallest common multiple of 200804 and 552211.
2208844
What is the least common multiple of 224 and 9920?
69440
Calculate the smallest common multiple of 12840 and 1284.
12840
Find the common denominator of -109/1334 and 187/4350.
100050
Calculate the smallest common multiple of 9873 and 9873.
9873
What is the lowest common multiple of 110 and 109240?
1201640
What is the lowest common multiple of 5460 and 14?
5460
What is the smallest common multiple of 27444 and 206?
2826732
Find the common denominator of 44/30139 and -44/210973.
210973
What is the lowest common multiple of 8272 and 1175?
206800
Calculate the least common multiple of 448614 and 135.
6729210
What is the common denominator of 81/10276 and 95/602?
441868
Calculate the common denominator of 19/1974840 and 101/987420.
1974840
Calculate the smallest common multiple of 235761 and 6.
471522
What is the lowest common multiple of 49830 and 302?
49830
What is the common denominator of 43/79460 and 62/1233?
715140
What is the lowest common multiple of 670 and 634088?
3170440
What is the common denominator of 24/66743 and 97/10?
667430
Find the common denominator of -89/28 and -7/337396.
2361772
Calculate the lowest common multiple of 1965 and 5280.
691680
Calculate the common denominator of 101/924 and 1/924.
924
Calculate the lowest common multiple of 299088 and 8.
299088
Find the common denominator of 7/675950 and 56/715.
8787350
What is the common denominator of -63/2756 and 23/2977?
631124
Calculate the common denominator of 50/80259 and 22/93.
80259
Calculate the smallest common multiple of 14 and 244.
1708
What is the smallest common multiple of 205800 and 135?
1852200
What is the common denominator of 109/18354 and 97/126?
55062
Calculate the lowest common multiple of 7600 and 7125.
114000
What is the common denominator of 145/108 and -149/27594?
55188
Calculate the smallest common multiple of 1500 and 8100.
40500
Calculate the common denominator of 9/6616 and -49/320.
264640
What is the lowest common multiple of 48114 and 80190?
240570
What is the least common multiple of 42 and 2424?
16968
Calculate the common denominator of 74/3 and 79/844.
2532
What is the lowest common multiple of 81 and 422?
34182
What is the smallest common multiple of 38500 and 15950?
1116500
Find the common denominator of 67/776 and 77/1924.
373256
What is the smallest common multiple of 67770 and 27?
67770
What is the smallest common multiple of 66 and 2046?
2046
Calculate the smallest common multiple of 3183 and 44562.
44562
Calculate the common denominator of -1/130 and -113/6.
390
Find the common denominator of 89/618716 and 15/2474864.
2474864
Calculate the common denominator of 51/1118 and 107/2408.
31304
Calculate the common denominator of 69/116 and -23/130372.
3780788
Calculate the smallest common multiple of 80509 and 1144.
644072
What is the least common multiple of 4090 and 372599?
3725990
Find the common denominator of 50/482119 and 133/6.
2892714
What is the least common multiple of 10262 and 18325?
256550
What is the common denominator of 17/121 and 61/1960?
237160
Find the common denominator of 1/114714 and -125/76476.
229428
What is the common denominator of 49/18468 and 23/303?
1865268
Find the common denominator of -71/228130 and -81/325900.
2281300
What is the common denominator of -71/68214 and 1/11369?
68214
Calculate the common denominator of 29/1440 and -169/36000.
36000
Calculate the smallest common multiple of 3720 and 1872.
290160
Calculate the lowest common multiple of 228 and 15614.
1779996
Calculate the common denominator of 71/10695 and -73/79515.
1828845
Calculate the lowest common multiple of 1594835 and 579940.
6379340
Find the common denominator of 71/5733 and 82/39195.
1920555
Calculate the common denominator of -181/1140 and -107/17630.
2009820
What is the smallest common multiple of 296064 and 736?
6809472
Find the common denominator of -89/8304 and 125/2712.
938352
What is the least common multiple of 92340 and 22?
1015740
What is the common denominator of -22/5 and 29/110977?
554885
Calculate the least common multiple of 122222 and 1150.
3055550
What is the common denominator of 103/59218 and 17/12?
355308
Find the common denominator of 7/196559 and 4/1177.
196559
Calculate the least common multiple of 22930 and 30.
68790
What is the common denominator of -76/255 and -143/4284?
21420
What is the smallest common multiple of 36780 and 15325?
183900
What is the least common multiple of 19125 and 5100?
76500
What is the smallest common multiple of 5768 and 154?
63448
Find the common denominator of -29/107898 and 113/138726.
971082
Find the common denominator of -103/22 and -55/91724.
1008964
What is the lowest common multiple of 2958 and 667?
68034
Calculate the common denominator of -169/6870 and 69/88165.
528990
What is the lowest common multiple of 7 and 165221?
165221
What is the common denominator of 53/18 and 113/81552?
244656
Find the common denominator of 21/10 and 2/13565.
27130
What is the smallest common multiple of 8196 and 14?
57372
Calculate the smallest common multiple of 12879 and 16695.
450765
What is the smallest common multiple of 7092 and 2502?
985788
What is the common denominator of 1/8 and 121/947652?
1895304
What is the common denominator of -169/7524 and 61/11286?
22572
What is the common denominator of -49/684 and -139/42636?
127908
What is the least common multiple of 22855 and 13713?
68565
Calculate the smallest common multiple of 8218 and 22.
90398
What is the least common multiple of 24 and 2508?
5016
What is the least common multiple of 259 and 86284?
603988
Find the common denominator of -25/364704 and -103/6960.
1823520
Calculate the common denominator of 68/68703 and -139/6.
137406
What is the common denominator of 50/75439 and 69/26?
150878
Calculate the common denominator of -53/10 and -101/189000.
189000
Calculate the least common multiple of 286 and 61295.
1348490
Find the common denominator of 68/24843 and 2/13.
24843
Find the common denominator of 107/33396 and 75/572.
434148
Calculate the common denominator of -1/10374 and -67/1092.
20748
Calculate the least common multiple of 108077 and 98679.
2269617
Calculate the common denominator of -5/36 and 31/629838.
1259676
What is the smallest common multiple of 1019126 and 18?
9172134
Find the common denominator of -85/324 and -25/56214.
112428
Find the common denominator of -115/49464 and -59/1832.
49464
Find the common denominator of 31/108 and -83/453465.
1813860
What is the lowest common multiple of 8502 and 9919?
59514
Find the common denominator of 11/914940 and -37/84.
6404580
What is the smallest common multiple of 230316 and 30?
1151580
Find the common denominator of -8/97 and 20/55581.
55581
Find the common denominator of -11/7581 and 67/1330.
75810
What is the smallest common multiple of 476 and 1124?
133756
What is the least common multiple of 490437 and 15?
2452185
What is the least common multiple of 39273 and 96?
1256736
Calculate the smallest common multiple of 97343 and 6.
584058
Find the common denominator of 59/721320 and 65/22.
7934520
What is the lowest common multiple of 385170 and 15?
385170
Calculate the lowest common multiple of 622953 and 63.
4360671
What is the common denominator of -1/102476 and 49/230571?
922284
Calculate the least common multiple of 28776 and 376.
1352472
What is the least common mult | {
"pile_set_name": "DM Mathematics"
} |
on factor of 1057532 and 3759?
1253
What is the highest common factor of 4958 and 723600?
134
Calculate the greatest common divisor of 15459377 and 333.
37
Calculate the highest common factor of 273 and 6939051.
21
Calculate the greatest common factor of 10960 and 10613116.
548
Calculate the greatest common factor of 9072128 and 4524.
1508
Calculate the highest common divisor of 269625 and 78285.
15
What is the greatest common factor of 2009665 and 245?
35
Calculate the greatest common divisor of 160 and 32597380.
20
What is the highest common divisor of 2146 and 706662778?
2146
What is the highest common factor of 3131 and 438042555?
3131
What is the greatest common factor of 23718 and 33881163?
11859
What is the highest common divisor of 12169180 and 160?
20
Calculate the highest common factor of 710517 and 61125.
489
Calculate the highest common divisor of 62886104 and 217.
31
What is the greatest common divisor of 4070925 and 172050?
2775
Calculate the highest common divisor of 59156924 and 16.
4
What is the highest common factor of 57385 and 64400?
115
Calculate the highest common factor of 3 and 419311149.
3
Calculate the highest common factor of 320 and 4152475.
5
Calculate the highest common factor of 56916 and 15291.
9
Calculate the highest common factor of 73875 and 36248.
197
Calculate the greatest common divisor of 27828 and 6032492.
3092
Calculate the highest common divisor of 629220 and 80.
20
Calculate the highest common divisor of 28468072 and 16.
8
What is the highest common factor of 1374964 and 8942?
526
What is the highest common factor of 2085 and 50595?
15
What is the highest common divisor of 53953 and 14564?
331
Calculate the highest common factor of 22308 and 1938.
6
What is the greatest common factor of 8603390 and 760?
190
Calculate the greatest common factor of 66817356 and 348.
12
Calculate the greatest common divisor of 29 and 558088.
1
What is the highest common factor of 10262 and 64212266?
1466
Calculate the highest common divisor of 473 and 2359370827.
473
What is the highest common factor of 180 and 42968868?
12
Calculate the highest common divisor of 4928035 and 4101.
1367
Calculate the highest common factor of 98098 and 373464.
182
What is the highest common divisor of 858 and 10386662?
286
What is the greatest common factor of 3131 and 146413?
31
What is the greatest common factor of 6679092 and 92316?
588
What is the greatest common divisor of 10244 and 309965316?
788
What is the highest common factor of 2590 and 8624630?
70
What is the greatest common divisor of 8771433 and 22451?
1727
Calculate the greatest common divisor of 19807736 and 283.
283
Calculate the highest common divisor of 5110511 and 548.
137
What is the greatest common divisor of 3296 and 2442439?
103
Calculate the greatest common factor of 945687 and 1880.
47
What is the highest common factor of 462184947 and 81?
81
What is the highest common divisor of 18422960 and 501832?
3368
Calculate the highest common factor of 4683 and 11623101.
21
What is the greatest common divisor of 5265 and 106708095?
585
Calculate the highest common factor of 2214 and 6594768.
738
Calculate the greatest common factor of 101 and 136961.
1
Calculate the highest common factor of 9075 and 1084805535.
1815
What is the highest common factor of 128 and 611568752?
16
What is the highest common divisor of 2394767 and 214?
107
Calculate the highest common factor of 310 and 814160.
10
What is the highest common divisor of 2494 and 4508717?
29
What is the highest common divisor of 92828 and 161?
23
Calculate the greatest common divisor of 2936208 and 563068.
2948
Calculate the highest common factor of 3957629 and 65.
13
Calculate the greatest common divisor of 195905 and 1565.
5
Calculate the greatest common divisor of 20675 and 51417071.
827
Calculate the highest common divisor of 29078025 and 175.
25
What is the greatest common factor of 120280 and 6112552?
776
Calculate the greatest common divisor of 10616598 and 4.
2
Calculate the greatest common divisor of 64629 and 50223914.
7181
What is the greatest common divisor of 193 and 133262254?
193
What is the greatest common divisor of 50 and 514374550?
50
What is the highest common divisor of 6 and 2158850?
2
Calculate the greatest common factor of 116 and 7252876.
4
What is the greatest common factor of 354843 and 590076?
3987
Calculate the greatest common factor of 93176772 and 312.
156
Calculate the greatest common divisor of 108881697 and 1266.
633
What is the greatest common divisor of 4640 and 1305120?
160
Calculate the highest common divisor of 273603624 and 336.
168
Calculate the highest common divisor of 8363821 and 15.
1
Calculate the greatest common factor of 2376796 and 29252.
284
What is the highest common factor of 3260 and 42102085?
815
What is the greatest common factor of 543 and 31912653?
543
What is the highest common divisor of 362965 and 93515?
1585
Calculate the highest common factor of 2965097 and 1.
1
Calculate the highest common factor of 1262739 and 241629.
1011
What is the highest common divisor of 1660 and 294190180?
1660
What is the greatest common divisor of 8745 and 426604420?
2915
What is the greatest common factor of 58070360 and 40?
40
What is the greatest common divisor of 25434 and 5795184?
942
What is the highest common factor of 670967 and 63712?
1991
Calculate the greatest common divisor of 16549 and 256187431.
1273
What is the greatest common divisor of 885766 and 906?
302
Calculate the highest common divisor of 246280 and 83185.
655
Calculate the greatest common factor of 26784 and 460637928.
6696
What is the highest common factor of 35866640 and 10340?
940
Calculate the greatest common factor of 904305960 and 620.
620
Calculate the highest common divisor of 1589015 and 10547.
199
What is the highest common factor of 488 and 16054956?
244
What is the greatest common factor of 1393995 and 191040?
2985
What is the highest common divisor of 1246975 and 30571?
1609
What is the greatest common divisor of 33918872 and 312?
104
Calculate the highest common factor of 78487149 and 2535.
507
What is the greatest common divisor of 38341336 and 22?
22
What is the highest common divisor of 3933 and 21261?
57
Calculate the highest common factor of 430617 and 1980.
33
Calculate the highest common divisor of 42761800 and 56.
8
What is the highest common factor of 12607 and 6168425?
1801
What is the greatest common divisor of 399 and 2821500?
57
What is the highest common factor of 179 and 77148821?
179
Calculate the greatest common divisor of 2875392 and 3210948.
1404
Calculate the greatest common factor of 6460 and 24196610.
170
Calculate the greatest common factor of 12 and 26448783.
3
What is the greatest common factor of 39 and 1215643?
13
Calculate the highest common factor of 2119 and 4580137.
163
Calculate the greatest common factor of 968 and 17801520.
968
Calculate the highest common divisor of 354304202 and 98.
98
Calculate the greatest common divisor of 14395948 and 406.
406
Calculate the highest common divisor of 725 and 602410.
5
What is the greatest common factor of 2093286 and 4966?
26
What is the highest common factor of 38637648 and 2224?
16
What is the highest common divisor of 37334 and 187?
11
What is the greatest common factor of 1886 and 699836134?
1886
What is the greatest common factor of 2142782 and 42693?
2033
Calculate the highest common divisor of 16 and 135695528.
8
What is the highest common divisor of 52437605 and 21675?
1445
Calculate the greatest common divisor of 197659 and 65685.
151
What is the highest common divisor of 5219 and 42970176?
307
What is the greatest common factor of 176 and 927493072?
176
What is the greatest common factor of 55275 and 43680?
15
What is the greatest common divisor of 150207 and 159?
3
What is the greatest common divisor of 77036426 and 310?
62
Calculate the highest common factor of 148803356 and 312.
52
What is the greatest common divisor of 29 and 478706219?
29
What is the greatest common divisor of 66935 and 440?
55
Calculate the highest common divisor of 314 and 155741645.
157
Calculate the greatest common divisor of 295586 and 14.
2
Calculate the greatest common factor of 847303975 and 75.
25
Calculate the highest common | {
"pile_set_name": "DM Mathematics"
} |
30*n + 33*n - 44 - 65*n)*(2075 - 1149 - 1341) in the form t*n + f and give t.
830
Express -1025*j - 1017*j + 1114 + 3059*j - 1016*j as v*j + q and give v.
1
Express (12335*g**2 - 12335*g**2 - 16*g - 2*g**3)*(-g - 52 - 26 + 125) as k*g**3 + w*g + o + j*g**4 + x*g**2 and give x.
16
Rearrange (-1 + 3 - 6)*(14734*c - 7375*c + 18 - 18) to the form k*c + x and give k.
-29436
Express (n**3 - 9276*n + 0*n**3 + 9170*n)*(-4*n - n + 6*n) + 4*n**4 - 4*n**4 + n**4 in the form a*n**3 + j*n**2 + p*n**4 + b + d*n and give j.
-106
Express (2*b**4 + 4*b**4 - 2*b**4)*(-7 + 20 + 13)*(-2 - 1 + 2)*(6 - 2 - 2)*(-1 - 3 + 8) in the form z*b + y + u*b**2 + h*b**4 + c*b**3 and give h.
-832
Rearrange -2*r + 179 - 16*r - r + 20*r to q*r + x and give q.
1
Express (917 + 920 + 268*l - 1827)*(2*l - 4 + 4) as v + i*l + x*l**2 and give i.
20
Express 1486 - 5*q**2 + q**4 + 1683 - 4*q + 2*q**3 + 4*q**2 - 3011 as u*q**4 + t*q**3 + n*q**2 + h*q + r and give u.
1
Rearrange -12*l**3 - 15*l**3 + 2*l + 201700*l**2 - 201685*l**2 to z*l + o*l**2 + q + g*l**3 and give o.
15
Express 2 - 2 + 2*f**3 + (6*f**3 - 2*f**3 - f**3)*(-2281 + 986 - 1645 - 2702 - 847) in the form i*f**3 + l*f + r*f**2 + z and give i.
-19465
Rearrange -x + 3*x + 0*x + (171 + x - 171)*(-49 - 100 + 69) to y*x + q and give y.
-78
Rearrange -9*b**2 + 16*b**2 - 4025 + 7*b**2 + 4121 - 2*b to the form m*b**2 + u*b + v and give m.
14
Express 512750*b + 512714*b + 2 - 1025916*b in the form x*b + g and give g.
2
Express -1 - 1165*o**2 + 582*o**2 - 14 + 571*o**2 in the form r*o**2 + z + m*o and give r.
-12
Rearrange -11*a**2 - 2*a**4 - 74*a**3 + 14022834*a - 14022834*a to the form d*a + h*a**2 + m + y*a**4 + v*a**3 and give h.
-11
Express -h**3 - 13*h + 13*h**3 + h**4 + 32779 - 32782 - 3*h**4 in the form z + o*h**2 + r*h + u*h**3 + q*h**4 and give z.
-3
Express (-3*a + 3*a + 2*a)*(10276*a + 5*a**2 + 10231*a + 2 - 20473*a) in the form q*a**2 + x*a**3 + l*a + c and give x.
10
Rearrange (-497*d - 1932*d - 2150*d)*(d + d - 6*d) to o*d**2 + c + i*d and give o.
18316
Rearrange (-3*o**3 + 7*o**3 + o**3 + (-3*o + 6*o - 4*o)*(5*o**2 + 6*o**2 - 4*o**2))*(4 - 3 - 19) to the form v + s*o**3 + x*o + k*o**2 and give s.
36
Rearrange -61 - 9*w**3 + 3*w**2 - 41 + 3*w**4 - 39 + w + 139 to the form v*w**4 + z*w**3 + q*w + j + o*w**2 and give v.
3
Rearrange -5*v**3 + 49*v**2 + 3*v**3 - 29*v**2 - 2*v + 5 + 43*v**2 to k*v**3 + y*v + o + j*v**2 and give y.
-2
Rearrange 368*r + 369*r + 191 + 365*r - 1103*r to the form m*r + z and give z.
191
Express -39 + 6 + 25 + 8 + 2743*s in the form t + u*s and give u.
2743
Rearrange (7*l + 2*l - l - 4*l)*(1 + 4 - 2) + (-3 + 4 + 0)*(-1394*l - 1626*l + 3525*l) to the form i*l + s and give i.
517
Express -100 - 100 - 1245*v - 981*v + 202 in the form d + z*v and give d.
2
Express -3079 - 3050 + 6132 + 200*c**2 in the form k*c**2 + o*c + p and give p.
3
Rearrange (0*w**3 + 8*w**3 + 17*w**3)*(7 - 50*w - 6 + 49*w) to the form g*w**3 + l*w + j + a*w**4 + h*w**2 and give l.
0
Rearrange 118 + 122 - 80*p**3 + 7*p + 114 - 356 + 13*p**3 to j*p + x + q*p**2 + s*p**3 and give x.
-2
Rearrange -1300*w**2 - 225*w**2 + 8626*w**2 to k*w + t + l*w**2 and give l.
7101
Rearrange 1 - 2*c - 1 + (0 + 0 + 1)*(-c + 3*c - c) + 4*c + c - 3*c + (2*c + 0*c - c)*(-1 - 5 + 4 + (3 - 5 - 5)*(-1 + 6 - 8) - 1 - 2 - 4) to l*c + p and give p.
0
Rearrange (0 + 5 + 4)*(16*g**2 + 49*g**2 + 75*g**2) to p*g + t + o*g**2 and give o.
1260
Rearrange -31*j + 43*j + 48*j - 2*j**2 + j**2 - 5 + 15*j to the form b*j**2 + l*j + x and give x.
-5
Rearrange 73*l + l**2 - 74*l - 85*l**3 + 8*l**3 + 3 + 4*l**2 to the form a + i*l**2 + h*l + r*l**3 and give r.
-77
Rearrange -246*l**2 + 115*l**2 + 132*l**2 + 184*l to the form j*l**2 + i*l + r and give j.
1
Rearrange -480 + 912 - 2*i**2 + 2*i**3 + 2*i - 430 to m*i**3 + q + d*i + h*i**2 and give h.
-2
Rearrange 1803*m - 3907*m - 3299*m - 4 + 4 to the form l + w*m and give w.
-5403
Rearrange (-u + 3 - 3)*(-5*u**2 + 2*u**2 + u**2) - 491 - 482 - 9605*u**3 - 483 + 1456 to l*u**3 + o*u**2 + s + q*u and give l.
-9603
Rearrange -6409*j + 12828*j - 160 - 6414*j to the form b + u*j and give u.
5
Rearrange -5*m - 230697 + 10*m + 230691 + 123*m to the form i + r*m and give i.
-6
Express 527 - 12*j**2 - j + 4*j - j - 534 - j - j**3 as f*j**2 + l*j + v*j**3 + m and give v.
-1
Rearrange 50121*h**3 - 1 + 2*h**2 + 3*h**4 + 4*h - 50123*h**3 - 2*h to the form y*h**3 + p*h**4 + u*h + s*h**2 + g and give p.
3
Rearrange 17*l - 3*l**3 - 3*l - 3*l - 5*l - 67*l**2 to the form s + o*l**3 + b*l + i*l**2 and give b.
6
Rearrange (f**2 + 1 - 1 + (-18*f**2 - 23*f**2 + 44*f**2)*(-3 + 0 + 5))*(-3 + 10 - 98) to the form w + z*f + k*f**2 and give k.
-637
Express 5877*d + 4054*d + 59 + 4226*d - 59 as p + v*d and give p.
0
Express -348*s**2 + 50*s**2 + 44*s**2 + 70*s**2 + 59*s**2 - 17 in the form z*s + w*s**2 + g and give g.
-17
Express 2*d**3 + 86*d**2 + 66*d**2 - 171*d**2 + 12*d in the form g + s*d + a*d**2 + k*d**3 and give a.
-19
Express -1105*q - 255*q - 520*q - 217*q + 191*q as h + k*q and give k.
-1906
Rearrange 1262 + 262*m + 7*m**2 - 263*m - 5*m**2 + 3*m**3 - 2*m**3 + 0*m**2 to the form v + w*m**3 + t*m**2 + f*m and give f.
-1
Rearrange -774*r**3 + 51*r**2 - 43*r**2 + 775*r**3 + 2*r**4 - 3 to the form y*r**3 + u*r**2 + h*r**4 + n*r + f and give h.
2
Express -25007*d + 11671*d + 11359*d in the form t + r*d and give r.
-1977
Express 4118 - 4118 - 134*y**3 + (-2*y + 1 - 1)*(559 - 559 + 67*y**2) in the form k*y**2 + r + n*y**3 + z*y and give n.
-268
Rearrange -209*i**3 + 92*i**2 - 106*i**2 + 106*i + 102*i - 206*i to s*i**3 + o*i + q + y*i**2 and give s.
-209
Express -66 - 30*h - 123*h**3 + h**4 + 65 + 33*h in the form t*h**2 + u*h + k*h**3 + g*h**4 + p and give u.
3
Rearrange (-36 + 0*v - 15*v + 17*v)*(0*v - 2*v + 7*v)*(1 + 3 - 1)*(-1 + 3 + 0) to the form b*v + y + c*v**2 and give b.
-1080
Rearrange 99*b**3 + 21*b**3 + 223*b**3 + (-b**2 + 10*b**2 - 3*b**2)*(3 - 3 - b) to w*b**2 + y*b**3 + v*b + d and give v.
0
Express 3 + 3 - 15*v - 12*v + 2*v**3 + 13*v**2 - 5 - 4*v**3 as w*v**2 + l*v**3 + a*v + u and give a.
-27
Express (w - 3*w + w)*(-29567693*w + 29567693*w + 13696*w**3) in the form z + f*w**2 + i*w**3 + p*w + l*w**4 and give l.
-13696
Rearrange (0 + 3 - 4)*(-2*o**2 + 5*o**2 - 2*o**2) + 0*o**2 + 14*o**2 - 4*o**2 + (-3 + 4 - 3)*(-55*o**2 - 90*o**2 - 20*o**2) to j*o + q + n*o**2 and give n.
339
Rearrange -91*l**2 + 240*l**2 - 63*l**2 - 55 - 87*l**2 - 248 to the form w + r*l**2 + y*l and give w.
-303
Express (-14073*o + 14073*o - 454*o**2)*(3 + 2 - 3 + (0 + 4 - 2)*(1 - 1 - 2) + 3 - 2 - 3 + 2 + 1 + 0 - 4 + 2 + 1) in the form b*o + u + j*o**2 and give j.
908
Express (-1 + 0 - 1)*((-2*c - 20*c - 14*c)*(2 - 2 + 4*c) + (-4*c - 2*c + 4*c)*(4*c - c - 2*c)) as o*c + s + v*c**2 and give v.
292
Express -3547*n - 12 - 1852*n + 11 + 0 as t + z*n and give t.
-1
Express y + 0*y - 3*y + (-2 + 3 + 2)*(-19*y - 112 + 112) as w + q*y and give q.
-59
Rearrange (-1 + 4 - 5)*(675*o**4 - 845*o**4 - 596*o**4 + (o**2 + o**2 - 6*o**2)*(0*o + 0*o + 3*o**2)) to t*o**3 + u*o**2 + n + v*o**4 + x*o and give v.
1556
Rearrange (3 - 3 + 2*o)*(-o + 2*o**2 + o) + 81*o - 10*o**3 - 81*o + (-19*o**3 + 46*o**3 + 153*o**3)*(-3 + 2 + 3) to v*o**2 + u*o**3 + b*o + j and give j.
0
Express 6487 + z**2 + 6490 - 1534*z - 19461 + 6484 in the form g + b*z + p*z**2 and give p.
1
Express 935*u - 1918*u + 984*u + 1595*u**2 + (-u**2 + 3*u - 3*u)*(0 + 0 - 2) as y + f*u**2 + m*u and give y.
0
Rearrange (-2 - 2*s + 1 - 1)*(447*s + 435*s - 974*s) to f*s + l*s**2 + n and give f.
184
Express -2323 - 56*o**2 - 17*o**2 + 92*o**2 - 18*o**2 in the form z*o**2 + c + w*o and give c.
-2323
Rearrange (-24 - 13*i + 24 + (-4 - 1 - 1)*(2*i + 2*i - 5*i))*(-4 + 3 + 64*i - 54*i) to the form c*i**2 + q*i + v and give c.
-70
Rearrange (8*f - 12*f - 6*f)*((-11*f + 3*f + 53*f)*(4 - f - 4) + 3*f**2 - 2*f**2 + f**2) to a*f + g + m*f**2 + p*f**3 and give p.
430
Rearrange ((2*f + 2*f - f)*(-2 + 0 + 3) + 4*f + 1 - 3*f + 1 - 2 - f + 2 + (-3 - 2 + 2)*(f + 3*f - 2*f))*(-1 - 13 - 11) to the form j + t*f and give j.
-50
Rearrange (-b + b + 2*b)*(0*b + 0*b - 2*b) - 278*b**2 - 192*b**2 + 6 + 639*b**2 to g*b**2 + u*b + s and give s.
6
Rearrange 2053 - 817*q + 2645*q - 2053 to the form v*q + u and give v.
1828
Rearrange (2 + 2*j**2 - 2)*(1 | {
"pile_set_name": "DM Mathematics"
} |
st derivative of -3/2*k**2 + 0*k + 1. Let i(v) = 2*v. Let g(h) = 2*h. Let y(b) = 7*g(b) - 6*i(b). Give o(y(r)).
-6*r
Let z(u) be the first derivative of -23*u**3/3 + 3. Let s(x) = x**2. Determine z(s(m)).
-23*m**4
Let t(c) = -1082*c. Let b(v) = 3*v**2. Determine b(t(g)).
3512172*g**2
Let p(k) = k**2. Suppose -3*n + 4*n - 8 = 0. Let d = n + -5. Let o(y) = 4*y + 2*y - d*y. Calculate o(p(j)).
3*j**2
Let f(m) be the third derivative of -m**5/20 + m**2. Let h(p) be the third derivative of p**4/8 - 29*p**2. Give h(f(y)).
-9*y**2
Let x(p) = 3*p. Let j(g) = 10803*g. What is x(j(u))?
32409*u
Let p(h) = h**2 + h + 1. Let k be p(-2). Let q(o) = k*o + 40 - 40. Let g(l) = -3*l**2. Calculate g(q(f)).
-27*f**2
Let g(i) be the first derivative of i**3/3 - 3. Let d be g(0). Let j(b) = -2*b + 4*b + d*b. Let a(q) = -3*q**2. What is a(j(v))?
-12*v**2
Suppose -5*v + 27 = -133. Suppose 3*q - v = -5*k, 2*q - 24 + 0 = -4*k. Let w(x) = -2*x + q*x - 4*x. Let n(y) = y**2. Determine w(n(i)).
-2*i**2
Let i(n) = -39*n**2. Let x(w) = -7*w**2. Let f(p) = 11*p**2. Let t(r) = 5*f(r) + 8*x(r). Give i(t(k)).
-39*k**4
Let u(i) = -i**2 + i + 2. Let q be u(2). Let d(l) = l - l + l + q. Let o(n) = n. What is d(o(g))?
g
Suppose 8 = 5*a + 28. Let u(s) be the first derivative of 3*s**2 + 1. Let y(p) = -5*p. Let r(z) = a*u(z) - 5*y(z). Let l(d) = 3*d**2. Determine r(l(n)).
3*n**2
Let b(k) = -2*k**2 - 5*k**2 + 4*k**2 - 5*k**2. Let f(z) = 9*z**2. Let n(i) = -7*b(i) - 6*f(i). Let d(l) = -3*l. Determine n(d(t)).
18*t**2
Let m(s) = -51*s**2 + 2. Let i(b) = 38*b. What is m(i(h))?
-73644*h**2 + 2
Let l(a) = a**2. Let g(y) = -7097*y. What is g(l(j))?
-7097*j**2
Let r(f) = 5082*f. Let j(n) = n**2. Calculate r(j(b)).
5082*b**2
Let t(j) be the third derivative of -j**5/10 - 6*j**2. Let z(d) = d**2. What is z(t(p))?
36*p**4
Let p(v) = v. Let u(b) = -b + 10. Let r(t) = 7. Let z(s) = -7*r(s) + 5*u(s). Calculate p(z(q)).
-5*q + 1
Let c(x) = 4*x**2. Let v = 2 - 0. Let u(r) = -3 + 1 + r + v. Determine u(c(f)).
4*f**2
Let b(k) = 3*k**2. Let p(z) = -40*z**2 + 25*z - 25. Let v(a) = 5*a**2 - 3*a + 3. Let j(q) = -3*p(q) - 25*v(q). Calculate b(j(c)).
75*c**4
Let n(x) = -3*x + 14. Let f(c) = -10*c**2. Give f(n(w)).
-90*w**2 + 840*w - 1960
Let v(h) be the second derivative of h**3/6 + 3*h. Let o(a) = -71*a - 3 + 3 + 66*a. What is o(v(i))?
-5*i
Let m(c) = 1489*c**2. Let d(y) = -2*y. Determine d(m(p)).
-2978*p**2
Let t(b) = 9*b**2 + 13*b + 13. Let p(k) = 2*k**2 + 3*k + 3. Let q(m) = 26*p(m) - 6*t(m). Let d(r) = 86*r + 88*r + 6*r**2 - 174*r. Give q(d(o)).
-72*o**4
Let z(a) = a + 5*a - 3*a - 4*a. Let y(v) = v**2 - 8*v**2 - 3*v**2. What is z(y(p))?
10*p**2
Let f(n) = -n**3 + 7*n**2 + 9*n + 5. Let k be f(8). Let v = k - 9. Let p(h) = v + 2*h - 4. Let m(q) = 3*q**2. Calculate m(p(b)).
12*b**2
Let q(r) = -7 + 8 - 1 + 2*r. Let c(m) = -3*m + 2. Let d(x) = -x + 1. Let n(w) = c(w) - 2*d(w). Calculate n(q(l)).
-2*l
Let b(h) = -2*h**2 - 3*h. Let u(m) = 6*m. Give u(b(q)).
-12*q**2 - 18*q
Let v(w) = 952*w. Let i(g) = 5*g. Calculate i(v(o)).
4760*o
Let p(a) = -2*a + 14. Let u(o) = 12*o. Calculate u(p(f)).
-24*f + 168
Let t(a) = 70*a**2. Let d(z) = -z - 19. What is t(d(p))?
70*p**2 + 2660*p + 25270
Let v(k) = 3*k**2. Let q(z) = z + 8. Let r be q(-6). Let f(w) = -2*w**2 - w**2 - 4*w**r + 6*w**2. What is f(v(b))?
-9*b**4
Let s(q) = 5*q. Let d(a) be the first derivative of -a**4/12 + 5*a**2/2 - 7. Let k(v) be the second derivative of d(v). Give s(k(m)).
-10*m
Let f(g) = -g**2. Let y(c) = 2*c - c - 3*c + 3*c. Calculate y(f(k)).
-k**2
Let l(z) be the second derivative of -z**3/3 - 7*z. Let b(h) = -11*h. Give l(b(j)).
22*j
Let u(i) = 12*i**2 + 15. Let c(x) = -x**2 - 1. Let o(m) = 30*c(m) + 2*u(m). Let q(n) = 3*n**2. Calculate q(o(b)).
108*b**4
Let q(d) = 5 + 4*d + 1 - 6. Let c(g) = -2*g**2. Calculate q(c(l)).
-8*l**2
Let c(m) = 2*m + 2*m - 10*m + m. Let x(b) = -4*b**2. Calculate x(c(j)).
-100*j**2
Let k(p) = -14*p**2. Let t(f) = -43*f. Determine k(t(j)).
-25886*j**2
Let v(j) be the first derivative of 35*j**3/3 - 4. Let n(y) = -y. Give v(n(z)).
35*z**2
Let a(y) = -7*y**2. Let x(z) = 4*z + 3. Let s(p) = 8*p + 7. Let q(d) = 6*s(d) - 14*x(d). Determine q(a(o)).
56*o**2
Let z(d) = -3*d. Let y(n) = n + 6. Let o(c) = 2*c + 13. Suppose -3*h - 18 = 2*m, 4*h - 5*m + 24 = -4*m. Let t(l) = h*o(l) + 13*y(l). What is t(z(q))?
-3*q
Let w(l) = 2*l. Let g(m) = -2*m. Let j(n) = 5*g(n) + 4*w(n). Let y(p) be the third derivative of -p**5/60 + 3*p**2. Determine j(y(x)).
2*x**2
Let l(p) = -2*p**2. Let t(o) = 6*o - 5. Let c(w) = 7*w - 6. Let u(v) = -5*c(v) + 6*t(v). Determine u(l(b)).
-2*b**2
Let g(s) = 2*s**2. Let w(h) = -6*h**2 - 8*h. What is w(g(r))?
-24*r**4 - 16*r**2
Let t(l) = 4*l + 6. Let y(d) = 4*d. What is t(y(h))?
16*h + 6
Let c(m) = 8*m**2. Let x(w) = w**2 + 2*w**2 - 4*w**2. Calculate c(x(o)).
8*o**4
Let r(s) = 2*s**2 + 2*s. Let h(z) = -z. Let x(c) = 2*h(c) + r(c). Let f(l) be the first derivative of -4*l**3 - 5. What is x(f(k))?
288*k**4
Let v(t) = 78 - 122*t - 153 + 75. Let s(j) = -2*j**2. Determine s(v(y)).
-29768*y**2
Let j(o) = -104*o. Let p(z) = -33*z. Give p(j(h)).
3432*h
Let b(u) = 5*u**2. Suppose 4*t - 20 = -a, 0 = -3*t + 5*a - 3 - 5. Suppose 0 = 3*k + t - 16. Let l(d) = d - k*d + 2*d. What is l(b(o))?
-5*o**2
Let r(w) be the third derivative of w**4/24 - 8*w**2. Let y(m) = 7*m. Give r(y(c)).
7*c
Let m(n) = 279*n. Let p(c) = c. Give p(m(u)).
279*u
Let l(q) = -2*q. Let r(o) = 6410*o. Calculate r(l(u)).
-12820*u
Let t(f) be the second derivative of 1/6*f**4 + 0*f**2 + 0*f**3 + 0 + 3*f. Let g(x) = 2*x**2. Give g(t(d)).
8*d**4
Let y(g) = -4*g**2. Let a(v) = v**2 - 2*v. Let h(w) = -3*w - 8*w + 5*w**2 + 2*w. Let b(o) = 9*a(o) - 2*h(o). What is b(y(c))?
-16*c**4
Let a(r) = r. Let m(u) = 4*u. Let v(i) = -7*a(i) + 2*m(i). Suppose -5 = -4*l - 1. Let s(t) = -7*t**2 - 2 + 3 - l. Determine v(s(h)).
-7*h**2
Let j(g) be the first derivative of -7*g**3/3 - 5. Let q = 1 + 2. Let d(w) = 4*w - q*w - 2*w. Give j(d(c)).
-7*c**2
Let y(r) = 316*r. Let a(u) = -8*u**2. What is a(y(q))?
-798848*q**2
Let l(h) = -6*h**2. Let w(g) = -216*g - 2. Give w(l(b)).
1296*b**2 - 2
Let w(y) = 6*y**2. Let i(g) be the first derivative of g**2/2 - 14. What is i(w(x))?
6*x**2
Let g(k) = 3*k. Let m(r) be the second derivative of r**6/180 + r**3/2 + 2*r. Let l(n) be the second derivative of m(n). What is g(l(b))?
6*b**2
Let q(x) = 2*x**2. Let g(t) = 354*t**2. Calculate q(g(y)).
250632*y**4
Let p(x) be the second derivative of x**4/2 + x - 11. Let i(u) = 9*u**2. Calculate p(i(t)).
486*t**4
Suppose -3*r + 36 = 3*i, -3*i = 5*r - 0*i - 58. Let n(y) = 11 - y - r. Let a(c) = c. What is a(n(j))?
-j
Let o(x) be the first derivative of -x**3 + 21. Let q(n) = 5*n. Give o(q(d)).
-75*d**2
Let i(z) = z**2. Let l(w) = 565*w + 1. Calculate l(i(b)).
565*b**2 + 1
Let j(p) = 0*p**2 + 3*p**2 - 5*p**2. Let r(m) be the second derivative of m**4/4 - 2*m. Give r(j(t)).
12*t**4
Let w(l) be the first derivative of l**5/40 + 2*l**3/3 + 2. Let u(i) be the third derivative of w(i). Let g(n) = n**2. Determine g(u(q)).
9*q**2
Let s(y) = -y + y + 0*y**2 - 2*y**2. Let h(f) be the second derivative of -f**4/4 + 3*f. Give s(h(o)).
-18*o**4
Let k(d) = d**2. Suppose -4*s - 4 + 16 = 0. Let r(q) = -q - s*q + q. Give r(k(u)).
-3*u**2
Let b(q) = -2*q**2. Let k(f) be the first derivative of -4*f**3/3 + 8. What is k(b(u))?
-16*u**4
Let w(x) = -17*x**2. Let k(v) = 1. Let h(l) = -l**2 - 1. Let j(a) = -2*h(a) - 2*k(a). Give w(j(u)).
-68*u**4
Let z(o) = -15*o. Let p(v) be the first derivative of v**3/3 + 4. Determine p(z(t)).
225*t**2
Let z(t) = -9*t. Let u(p) = 2*p. Let m(l) = -26*u(l) - 6*z(l). Let g(h) = 2*h. Calculate g(m(i)).
4*i
Let y(c) = -3*c**2. Let k(b) = -b - 47. What is k(y(f))?
3*f**2 - 47
Let r(m) be the second derivative of 0 + 0*m**3 + 0*m**2 - 1/4*m**4 - 2*m. Let j(l) be the third derivative of -l**4/8 + l**2. What is r(j(t))?
-27*t**2
Let u(z) = 2*z - 6209. Let j(n) = -n**2. What is j(u(w))?
-4*w**2 + 24836*w - 38551681
Let t(d) be the third derivative of d**6/180 + d**4/8 + 3*d**2. Let q(f) be the second derivative of t(f). Let z(o) = o**2. Give z(q(h)).
16*h**2
Let u(q) = 16*q**2. Let h(s) = 8*s - 11*s + 4*s. What is u(h(r))?
16*r**2
Suppose -5 = -j - 3*c, -2*c - c = 2*j - 7. Let n(z) = j*z + 1 - 2 + | {
"pile_set_name": "DM Mathematics"
} |
t h(d) be the third derivative of -14/27*d**4 + 0 + 4/945*d**7 + 7/135*d**6 + d**2 + 11/90*d**5 + 12*d + 16/27*d**3. Factor h(b).
2*(b + 4)**2*(2*b - 1)**2/9
What is t in -70/3*t + 73 - 1/3*t**2 = 0?
-73, 3
Let h = -36936 - -36941. Let x(c) be the first derivative of 18 + 1/9*c**6 - 1/3*c**4 - 8/9*c**3 + 4/15*c**h + 4/3*c + 1/3*c**2. Suppose x(k) = 0. What is k?
-2, -1, 1
Let i = 17 + 45. Suppose 0*w + 11 = w - g, -5*w + i = 2*g. Solve -29*a**3 - 48*a + 14*a**3 - 3*a**2 - w + 60*a**2 = 0 for a.
-1/5, 2
Let d(h) = -6*h**3 - 8*h**2 + 4*h - 4. Let a(o) be the first derivative of -7*o**4/4 - 3*o**3 + 5*o**2/2 - 5*o + 10. Let n(u) = -4*a(u) + 5*d(u). Factor n(t).
-2*t**2*(t + 2)
Let v(t) be the second derivative of t**7/168 + 47*t**3/6 + 63*t. Let y(d) be the second derivative of v(d). Find i such that y(i) = 0.
0
Let w = 49979 + -49977. Let 0 - 3/5*i + 3/5*i**w = 0. What is i?
0, 1
Let n be ((-4)/(-40))/((-8)/32)*(-2 - 1). Let x(t) be the second derivative of 0 - 9/50*t**5 - 13/20*t**4 - n*t**3 - 1/50*t**6 - 6/5*t**2 + 31*t. Factor x(j).
-3*(j + 1)**2*(j + 2)**2/5
Let z = -92/843 + 24064/4215. What is r in -z*r**2 - 24/5 + 2/5*r**3 + 10*r = 0?
1, 12
Factor 0 + 2/9*c**2 + 3092/9*c.
2*c*(c + 1546)/9
Let w(n) = 18*n**2 + n + 2. Let t be w(-1). Let z be (-13)/117 + t/9. Factor -2*b**4 + b**4 - 2*b**4 - 3*b**3 + b + 2*b + 3*b**z.
-3*b*(b - 1)*(b + 1)**2
Let r = 5598 - 5586. Let m(g) be the first derivative of -5/3*g**3 + 5*g**2 + r + 15*g. Find t such that m(t) = 0.
-1, 3
Let d(b) = 32*b**2 + 45613*b - 11407. Let s(u) = 52*u**2 + 68420*u - 17111. Let a(q) = 11*d(q) - 7*s(q). Factor a(l).
-3*(l - 1900)*(4*l - 1)
Let p(m) be the first derivative of m**4/16 - 11*m**3 + 630*m**2 - 10800*m - 3865. Factor p(a).
(a - 60)**2*(a - 12)/4
Let i(l) be the second derivative of -2*l**7/21 - 20*l**6 - 5624*l**5/5 + 50*l**4 + 3750*l**3 + 2216*l. Determine k, given that i(k) = 0.
-75, -1, 0, 1
Suppose 4*i = 3*v + 744, -7*v + 772 = 4*i - 3*v. Let -9*m**5 + 186*m**3 - i*m + 35*m**5 - 12*m**5 - 11*m**5 + 102*m**2 - 147 + 45*m**4 = 0. What is m?
-7, -1, 1
Let x(k) be the third derivative of 126*k**2 + 1/1260*k**6 + 0*k**3 + 1/252*k**4 + 1/315*k**5 + 0 + 0*k. Factor x(g).
2*g*(g + 1)**2/21
Let f(d) = -4418*d**2 + 2253*d - 243. Let q(x) = 4418*x**2 - 2254*x + 258. Let m(k) = -2*f(k) - 3*q(k). Factor m(r).
-2*(47*r - 12)**2
Suppose 0 = 3*l + 3*n - 36, 0 = -4*l - n + 4*n + 76. Factor 9*i**2 - l*i**2 + 8*i + 9*i**2.
2*i*(i + 4)
Let l(u) = -7*u**4 + 6*u**3 + 27 + 7*u**2 + 3*u**2 - 33. Let b(c) = 20*c**4 - 17*c**3 - 29*c**2 + 17. Let s(a) = 6*b(a) + 17*l(a). Let s(f) = 0. What is f?
-2, 0, 2
Let u be (-3 + 3)/5 - -4. Let i = -21733/9 + 2415. Suppose 1/3*z**3 - 1/9*z**u - 4/3*z + 8/9 + i*z**2 = 0. Calculate z.
-2, 1, 2
Let y(l) = -2*l**2 + 9*l + 23. Let g be y(6). Factor -i**g + 15*i**2 + 268*i**4 - 35*i**3 - 4*i**5 - 243*i**4.
-5*i**2*(i - 3)*(i - 1)**2
Let p = -1/113373 - -340124/566865. Factor 0 + p*r**2 + 4/5*r.
r*(3*r + 4)/5
Let f(m) = m**3 + 15*m**2 + 15*m + 16. Let q be f(-14). Let 2*t**2 + 8*t**3 - 8*t**2 - 7*t**3 + q*t**3 = 0. What is t?
0, 2
Let b be 0/38 + (-6)/(-9). Let m(x) be the first derivative of 1/9*x**3 - 28 - b*x - 1/6*x**2. Factor m(r).
(r - 2)*(r + 1)/3
Let b(k) be the third derivative of -1/12*k**4 - 1/630*k**7 + 57*k**2 + 1/180*k**5 + 0*k**3 + 0 + 0*k + 1/60*k**6. Factor b(o).
-o*(o - 6)*(o - 1)*(o + 1)/3
Let v be (((-6006)/78)/(-616))/((-1)/((-8)/6)). Let v*j**2 - 5/6*j + 1 = 0. What is j?
2, 3
Suppose -u = h, -5*h = 4*u - 10*u. Let w(m) be the second derivative of -1/15*m**6 + h + 8/3*m**3 + 2/3*m**4 - 1/5*m**5 + 0*m**2 - 15*m. Factor w(f).
-2*f*(f - 2)*(f + 2)**2
Let k(o) be the third derivative of o**6/1260 - 43*o**5/630 - 23*o**4/42 - 752*o**2. Determine p, given that k(p) = 0.
-3, 0, 46
Let x = -7/26 - -713/2600. Let i = 1577/4600 + x. Solve 2/23*l**2 - i*l + 6/23 = 0.
1, 3
Let n(s) be the first derivative of -1/12*s**3 - 34 - 6*s**2 - 144*s. Factor n(j).
-(j + 24)**2/4
Let w(b) = b**3 + 8*b**2 + b + 4. Let o be w(-7). Suppose s = -44 + o. Factor -2/3*f + 2*f**s + 0 + 8/3*f**3.
2*f*(f + 1)*(4*f - 1)/3
Let u = -34777/12 + 9313/4. Let l = -569 - u. Suppose 1/6*o**2 + l*o + 1/2 - 1/6*o**3 = 0. What is o?
-1, 3
Let x be (4 - 774/81)*828/(-345). What is t in 100/3*t**2 + 0 + 4/3*t**4 + x*t**3 + 0*t = 0?
-5, 0
Suppose v - 2*v = 5*z - 207, -5*v + 3*z + 979 = 0. Let -15 - 41 + 53*b**4 + 94*b**2 - 276*b - 24 - 10 + 4*b**5 + 18 + v*b**3 = 0. Calculate b.
-6, -2, -1/4, 1
Let q = -6130 - -55171/9. Let k(s) be the first derivative of -1 - 4/9*s**2 + q*s**4 - 2/45*s**5 + 2/9*s**3 - 8/9*s. Suppose k(x) = 0. What is x?
-1, 2
Let j(o) = 7*o**5 + o**4 + 5*o**3 + 11*o**2 + 18. Let m(q) = 15*q**5 + 3*q**4 + 11*q**3 + 23*q**2 + 39. Let t(s) = 13*j(s) - 6*m(s). Find r such that t(r) = 0.
-1, 0, 1, 5
Let h(g) be the second derivative of 5*g**4/24 - 115*g**3/12 + 255*g**2/2 - 189*g. Determine x so that h(x) = 0.
6, 17
Let q(o) be the first derivative of 3/16*o**4 - 62 + 0*o - 3/2*o**2 + 3/4*o**3. Factor q(m).
3*m*(m - 1)*(m + 4)/4
Let w(r) = 185*r**4 + 9755*r**3 + 121104*r**2 - 44*r - 22. Let n(a) = -46*a**4 - 2439*a**3 - 30276*a**2 + 12*a + 6. Let y(i) = 22*n(i) + 6*w(i). Factor y(v).
2*v**2*(7*v + 174)**2
Let k(j) be the third derivative of j**6/48 + 34*j**5/3 + 1345*j**4/12 + 1340*j**3/3 + 2*j**2 - 64*j - 2. Solve k(w) = 0.
-268, -2
Suppose -39 = -377*v + 364*v. Let u(g) be the second derivative of -g + 1/2*g**4 + 2/5*g**5 + 1/15*g**6 - 4*g**2 - 4/3*g**v + 0. What is y in u(y) = 0?
-2, -1, 1
Suppose 0 = 2*k + k. Let l = 230800 + -230800. Factor k*a**2 + 1/7*a**3 + l + 0*a.
a**3/7
Let j be (10/(-3))/(12/(-360)). Suppose 5*r**3 - 7*r**3 + 2*r**5 - 104*r**2 - 4*r**3 + j*r**2 = 0. Calculate r.
-1, 0, 2
Let l(f) = -2*f - 1. Let v(q) = 10*q**2 + 49*q + 41. Let s(o) = 7*o**2 + 48*o + 40. Let n(g) = 3*s(g) - 2*v(g). Let y(i) = -28*l(i) - 4*n(i). Factor y(u).
-4*(u + 1)*(u + 31)
Let f(o) be the second derivative of -o**6/30 - 7*o**5/15 - 7*o**4/3 - 16*o**3/3 - 2*o**2 + 53*o. Let h(w) be the first derivative of f(w). Factor h(a).
-4*(a + 1)*(a + 2)*(a + 4)
Let p(t) = -8*t**4 + 270*t**3 + 1889*t**2 + 4375*t + 3312. Let r(y) = 7*y**4 - 267*y**3 - 1888*y**2 - 4376*y - 3312. Let z(u) = 4*p(u) + 5*r(u). Factor z(h).
3*(h - 92)*(h + 2)**2*(h + 3)
Suppose 11*n - 6*n = 80. Let b(d) = -220*d**2 - 12*d - 16. Let k(h) = -73*h**2 - 4*h - 5. Let a(t) = n*k(t) - 5*b(t). Factor a(u).
-4*u*(17*u + 1)
Let x(y) = -y**3 - 2*y**2 + 3*y. Let j(t) = -5*t**3 + 6730*t**2 + 6840*t + 1690. Let w(k) = -j(k) + 25*x(k). Determine n, given that w(n) = 0.
-338, -1/2
Suppose -3*z - 30 = -13*z. Solve -64*o + 60 - 56*o**2 + 184*o**4 + 194*o**4 + 64*o**z - 382*o**4 = 0.
-1, 1, 15
Let o(d) be the first derivative of -d**3/4 - 111*d**2/4 + 693*d/4 + 674. Factor o(z).
-3*(z - 3)*(z + 77)/4
Let f(x) = -3*x - x**2 + 17*x + x - 2*x**3 + 8*x + 29 + 4*x. Let i be f(-1). What is u in 0*u**2 - 1 + 3/2*u - 1/2*u**i = 0?
-2, 1
Suppose 365447 - 499403 = -4950*y + 1539144. Suppose 0 + 1/2*h**3 - 26*h**2 + y*h = 0. Calculate h.
0, 26
Let t(p) = 54*p**2 + 4*p + 7. Let n be t(-2). Suppose -o**3 - 4*o**3 + 942*o**2 - 962*o**2 + n + 105 + 80*o = 0. Calculate o.
-4, 4
Suppose 16*s - 22*s = -12. What is u in 6*u + 14 + 12*u**s - 8*u - 14 - 18*u**3 = 0?
0, 1/3
Factor 30*l + 31 + 27/4*l**2 - 1/4*l**3.
-(l - 31)*(l + 2)**2/4
Let c(m) = -6*m**3 - 13*m**2 - 17*m + 30. Let a(d) = -5*d**3 - d**2. Let q(l) = 4*a(l) - 4*c(l). Factor q(v).
4*(v - 1)*(v + 3)*(v + 10)
Let h(v) = -32*v**2 + 287*v + 26. Let j(o) = -4*o**2 + 34*o + 3. Let m(r) = -2*h(r) + 17*j(r). Factor m(c).
-(2*c - 1)**2
Suppose 108 = -19*c + 7*c. Let f be 20/(-30)*3/12*c. Factor -f*k**3 - 15/2*k**2 - 6 - 12*k.
-3*(k + 1)*(k + 2)**2/2
Suppose -5*k - 8 = -28. Suppose -k*s = 2*t - 26, -4 + 5 = 2*t - s. Find f, given that -4*f**4 + 0*f**3 - 1075*f**2 - t*f + f**5 + 2*f**3 + 1079*f**2 = 0.
-1, 0, 1, 3
Let m(w) be the second derivative of 15/2*w**3 + 5/4*w**4 + 1/12*w**5 + 10*w**2 + 0 - 6*w. Let p(q) be the first derivative of m(q). Factor p(g).
5*(g + 3)**2
Let z(r) = -56*r**4 - 626*r**3 - 2784*r**2 + 34. Let o(f) = -5*f**4 - 57*f**3 - 253*f**2 + 3. Let d(k) = 68*o(k) - 6*z(k). Factor d(v).
-4*v**2*(v + 5)*(v + 25)
Let u = -433299 + 433304. Solve 20/13*k**2 - 10/13*k**3 + 2/13*k** | {
"pile_set_name": "DM Mathematics"
} |
2 + 19*p + 72. Let m(b) = 4*l(b) - 5*u(b). Let m(o) = 0. What is o?
-6
Suppose 4*g - 6 = 2*t, -2*g = 6*t - 2*t - 28. Let 0*b**3 - 2*b**3 + 2*b**5 + 4*b**t - 4*b**5 = 0. Calculate b.
-1, 0, 1
Suppose 0*q - 2 = -q. Let l(o) be the first derivative of -2/3*o**3 + 0*o + 3*o**6 + 2 + 0*o**q - 5/2*o**4 - 6/5*o**5. Factor l(c).
2*c**2*(c - 1)*(3*c + 1)**2
Let g(h) be the first derivative of -1 + 0*h**2 - 8/27*h**3 + 7/27*h**6 + 38/45*h**5 + 0*h + 4/9*h**4. Find m such that g(m) = 0.
-2, -1, 0, 2/7
Let r(d) be the second derivative of 5*d**4/12 + 5*d**3/3 - 15*d**2/2 - 47*d. Factor r(h).
5*(h - 1)*(h + 3)
Let h(n) = 5*n**3 - 13*n**2 - 12*n - 3. Let c(m) = 5*m**3 - 12*m**2 - 13*m - 2. Let v(k) = 3*c(k) - 2*h(k). Factor v(f).
5*f*(f - 3)*(f + 1)
Suppose 0 = 3*p - 4*p. Let t(v) be the third derivative of -1/210*v**5 + v**2 + 1/420*v**6 + 1/21*v**3 + p*v - 1/84*v**4 + 0. Factor t(d).
2*(d - 1)**2*(d + 1)/7
Let b(p) = p**2 - p - 12. Let w be b(4). Factor 0 + 2/7*t**2 - 2/7*t**4 + w*t + 0*t**3.
-2*t**2*(t - 1)*(t + 1)/7
Let m(g) be the second derivative of -1/40*g**5 - 1/4*g**4 - 3*g + 0 - 2*g**2 - g**3. Determine k, given that m(k) = 0.
-2
Let h be (-1*3/12)/(-30). Let c(z) be the third derivative of h*z**5 + 0*z**4 - 2*z**2 + 0*z**3 + 0 + 0*z - 1/240*z**6. Factor c(a).
-a**2*(a - 1)/2
Suppose -14 = 2*k - 20. Let s(c) be the first derivative of -1/2*c + 5/16*c**4 + 1 + 9/8*c**2 - c**k. Determine x so that s(x) = 0.
2/5, 1
Let s(b) = b**2 + 7*b + 6. Let f be s(-6). Let -15*d**2 + 10*d - 6*d**5 + f*d**2 - 27*d**3 - 13*d - 21*d**4 = 0. What is d?
-1, -1/2, 0
Let k(c) be the first derivative of c**4/22 + 14*c**3/33 + 15*c**2/11 + 18*c/11 + 23. Determine l, given that k(l) = 0.
-3, -1
Let b be (1 + 38/(-32))/(72/(-96)). Factor -1/4*h**3 + 0*h - b*h**2 + 0.
-h**2*(h + 1)/4
Let p = -21 - -32. Find o, given that p*o - 11*o + 3*o**2 - 2*o**2 = 0.
0
Let n(w) be the second derivative of w**7/35 + w**6/15 - w**5/25 - w**4/5 - w**3/15 + w**2/5 - 7*w. Find d such that n(d) = 0.
-1, 1/3, 1
Let d(k) be the third derivative of k**5/90 - k**4/12 - 4*k**3/9 + 23*k**2. Suppose d(x) = 0. Calculate x.
-1, 4
Let b(a) be the second derivative of 3*a**6/40 + 7*a**5/80 - 11*a**4/48 - 7*a**3/24 + a**2/4 + 15*a. Factor b(x).
(x - 1)*(x + 1)**2*(9*x - 2)/4
Let r = 4 - 2. Factor r*j**4 - 4*j + 2*j**5 + j**2 - 3*j**2 - j**5 + 3*j.
j*(j - 1)*(j + 1)**3
Let r(x) be the first derivative of x**5/20 - x**4/2 + 2*x**3 - 7*x**2/2 - 4. Let b(n) be the second derivative of r(n). Factor b(y).
3*(y - 2)**2
Let g(y) be the first derivative of -8*y**3/15 - 3*y**2/5 - 6. What is c in g(c) = 0?
-3/4, 0
Factor 1/2*v**3 - 27/2 + 27/2*v - 9/2*v**2.
(v - 3)**3/2
Let y(s) be the first derivative of 2*s**3/39 - 6*s**2/13 + 18*s/13 + 3. Find b, given that y(b) = 0.
3
Let s(n) = 11*n**3 - 3*n**2 - 3*n - 5. Let j(h) = -5*h**3 + 2*h**2 + 2*h + 3. Let a(y) = 13*j(y) + 6*s(y). Let g be a(-7). Factor x + 0*x**2 + x + x**g.
x*(x + 2)
Let l(p) be the second derivative of p**6/120 - p**4/24 + p**2/8 - p. Suppose l(n) = 0. Calculate n.
-1, 1
Let g(w) = w**2 - 6*w - 7. Let a be 1 - 3 - -1*9. Let i be g(a). Let 2*x**4 - 2/3*x**5 + i*x + 0 - 2*x**3 + 2/3*x**2 = 0. What is x?
0, 1
Let f(g) be the second derivative of -g**4/120 - g**3/60 + g**2/10 + 11*g. Factor f(u).
-(u - 1)*(u + 2)/10
What is u in -9*u**3 - u + 4*u - 6*u**3 - 6*u**2 + 18*u**3 = 0?
0, 1
Let f(u) be the second derivative of u**5/110 + u**4/33 - u**3/11 - 13*u. Let f(z) = 0. What is z?
-3, 0, 1
Let j(d) be the second derivative of -d**6/15 - 6*d**5/5 - 9*d**4 - 36*d**3 - 81*d**2 - 8*d. Factor j(z).
-2*(z + 3)**4
Let a(x) be the second derivative of -x**4/36 + x**2/6 + 9*x. Factor a(j).
-(j - 1)*(j + 1)/3
Factor 2*j**5 - 2*j**5 - 3*j**5 - 3*j**4.
-3*j**4*(j + 1)
Factor -4*a + 5*a**2 - 9 + 1 - a**2.
4*(a - 2)*(a + 1)
Let b be 2/4*(10 + -4). Factor -1 - 2*j**2 - 5*j + b*j + j**2.
-(j + 1)**2
Let r(p) be the third derivative of p**6/180 + 2*p**5/75 + p**4/45 - 12*p**2. Determine w so that r(w) = 0.
-2, -2/5, 0
Let b = 1283 - 5131/4. Factor -1 - b*q**2 + q.
-(q - 2)**2/4
Solve -1/7*a**2 - 1/7*a**4 - 2/7*a**3 + 0*a + 0 = 0 for a.
-1, 0
Let s(l) = 2*l**4 - 8*l**3 - 2*l + 2. Let k(r) = 4*r**4 - 17*r**3 - 5*r + 5. Let g(i) = -2*k(i) + 5*s(i). Solve g(h) = 0.
0, 3
Let k(y) be the second derivative of 8/7*y**2 + 0 - 4*y + 1/21*y**4 + 8/21*y**3. Factor k(m).
4*(m + 2)**2/7
Let v(j) = 2*j - 2. Let d be v(4). Let b(n) = n - 2. Let s be b(d). Suppose -1 - s*x - x**3 + 2*x**3 + 3*x**3 + x**2 = 0. What is x?
-1, -1/4, 1
Let p(x) be the third derivative of x**6/360 - x**4/6 - 8*x**3/9 + 43*x**2. Factor p(l).
(l - 4)*(l + 2)**2/3
Suppose -3*y = y + 40. Let c be y/(-8) + (-3)/4. Find f such that c*f**2 - 2*f + 2 = 0.
2
Suppose 10*x = 12*x. Let j(w) be the second derivative of -2*w + x*w**2 + 0*w**3 + 0 + 0*w**6 + 0*w**4 - 1/21*w**7 + 1/10*w**5. Factor j(d).
-2*d**3*(d - 1)*(d + 1)
Let d(q) = -q**2 - 1. Let x(u) = 1 + u - 4*u**2 - 3*u - 3*u. Let p(i) = d(i) + x(i). Let z(l) = -16*l**2 - 16*l. Let t(r) = -10*p(r) + 3*z(r). Factor t(s).
2*s*(s + 1)
Factor 0*m + 2/3*m**4 + 0 - 2*m**2 + 4/3*m**3.
2*m**2*(m - 1)*(m + 3)/3
Suppose -3*a - 2*n - 2 = 3, 2*n = -4*a - 4. Let y(v) = v**2 - v - 1. Let h(m) = -3*m**2 + 2. Let r(t) = a*h(t) + 2*y(t). Factor r(g).
-g*(g + 2)
Let u(k) be the third derivative of -k**7/4200 + k**5/600 - k**3/6 + k**2. Let x(w) be the first derivative of u(w). What is m in x(m) = 0?
-1, 0, 1
Factor -1/5*h**3 - 2/5 + 3/5*h + 0*h**2.
-(h - 1)**2*(h + 2)/5
Let d = 253/10668 - 3/254. Let b(k) be the third derivative of 0*k - 1/210*k**5 + 0*k**3 + 1/420*k**6 + 0 - d*k**4 + 2*k**2 + 1/735*k**7. Factor b(v).
2*v*(v - 1)*(v + 1)**2/7
Let l(b) = -b**3 + b. Let g(d) = 9*d**3 + 16*d**2 + 15*d + 8. Let u(k) = g(k) + 5*l(k). Factor u(h).
4*(h + 1)**2*(h + 2)
Find p, given that 12 - 4 + 4 - p**2 - 3*p**2 - 8*p = 0.
-3, 1
Let u be (-2)/(112/24 - 7). Find x, given that -2/7*x**2 + u*x - 4/7 = 0.
1, 2
Let q(b) be the third derivative of -b**7/70 - b**6/20 + b**5/20 + b**4/4 + b**2. Factor q(s).
-3*s*(s - 1)*(s + 1)*(s + 2)
Factor -1/3*x**3 - x**2 + 4/3 + 0*x.
-(x - 1)*(x + 2)**2/3
Factor 2*f**3 + f**5 + 6*f - 5*f - 4*f**3.
f*(f - 1)**2*(f + 1)**2
Let p(s) = 2*s**3. Let u(b) = -8*b**3 + 36*b**2 - 216*b + 432. Let w(y) = 3*p(y) + u(y). Let w(q) = 0. What is q?
6
Let d(g) be the third derivative of -g**3 + 0*g + 0 - 7/20*g**5 - 9/8*g**4 - g**2. Determine i so that d(i) = 0.
-1, -2/7
Solve 13/10*b**2 - 3/10*b**3 + 11/10*b - 1/2 = 0 for b.
-1, 1/3, 5
Let b = -3716/7 + 532. Factor 1/7*k**2 + 16/7 - b*k.
(k - 4)**2/7
Let q(h) be the third derivative of -h**9/16632 + h**8/3080 - h**6/495 - h**3 + 4*h**2. Let g(l) be the first derivative of q(l). Factor g(x).
-2*x**2*(x - 2)**2*(x + 1)/11
Let w be -2 + 0 + (-7 - -8). Let y be (-7 - -3 - 0)*w. Solve 12*z**3 + z + 4*z**3 - 14*z**2 + 3*z + 0*z**3 - 6*z**y = 0 for z.
0, 2/3, 1
Let 12*m**2 - 11*m**2 - 6*m**2 = 0. Calculate m.
0
Let q(z) be the third derivative of 0 + 1/30*z**4 + z**2 + 0*z - 1/150*z**5 + 0*z**3. Factor q(m).
-2*m*(m - 2)/5
Let y(h) = -3*h**2 - 6*h - 4. Let z(w) = w**2 + w + 1. Let q(t) = y(t) + 4*z(t). Factor q(x).
x*(x - 2)
Suppose -22/5*d**2 + 18/5*d**3 + 4/5*d + 0 = 0. Calculate d.
0, 2/9, 1
Let b(s) be the third derivative of 0 + 0*s**3 + 0*s - 1/180*s**5 + 2*s**2 - 1/72*s**4. Factor b(z).
-z*(z + 1)/3
Let p(f) = f**3 + f**2 + 1. Let g(v) = -2*v**4 - 12*v**3 - 6*v**2 + 4*v - 8. Let o(r) = g(r) + 8*p(r). Determine h so that o(h) = 0.
-2, -1, 0, 1
Let t(m) be the third derivative of m**5/270 + 5*m**4/54 + 25*m**3/27 + 11*m**2. Factor t(x).
2*(x + 5)**2/9
Let q be (-4 - -5)/((-2)/(-6)). Let r be ((-3)/(-12))/(q/3). Determine h so that 1/4*h**3 - r*h + 0 + 0*h**2 = 0.
-1, 0, 1
Suppose 30 = 5*x - 0. Factor 5 - 3 + 2*r + x - 6*r**2 - 10*r.
-2*(r + 2)*(3*r - 2)
Let k(p) = p**2 - 26*p + 27. Let o be k(25). Let m(u) be the first derivative of 0*u - 1/15*u**3 + 1 + 1/5*u**o. Factor m(b).
-b*(b - 2)/5
Let o = -10 + 8. Let h be (o + 1)*(1 + -3). Factor 3*v**h - 2*v**2 + 0*v**3 - 3*v**2 - 2*v**3.
-2*v**2*(v + 1)
Let h(g) be the first derivative of -g**3/24 + g**2/16 + g/4 + 4. Factor h(v).
-(v - 2)*(v + 1)/8
Let i(u) be the third derivative of -1/6*u**3 + 0*u - 1/12*u**4 + 2*u**2 - 1/60*u**5 + 0. Solve i(h) = 0.
-1
Let n(q) = -5*q | {
"pile_set_name": "DM Mathematics"
} |
0*l**4
Expand (0 + 2 - 3)*(1 - 1 + 3)*(152*z - 10*z + 31*z).
-519*z
Expand 152*d**5 - 427*d**5 + 801*d**5 + 2 - 2*d**5 - 2 + (d**5 + d**2 - d**2)*(3 - 7 + 3).
523*d**5
Expand (-2 + 425*f + 294*f + 286*f)*(3*f - 6*f + f).
-2010*f**2 + 4*f
Expand -7*c**2 + 11*c**2 + 17*c**2 + (-3*c**2 + 3*c**2 - 2*c**2)*(-1 + 3 - 1)*(-3 - 2 + 2)*(1 - 1 + 1).
27*c**2
Expand (4*y**2 + 0*y**2 - 5*y**2)*(-4466 + 191 - 1507 - 2694)*(y**2 + 5*y - 5*y).
8476*y**4
Expand -33*o - 2*o - 9*o + (2 - 4*o - 2)*(-2 + 7 - 2).
-56*o
Expand (1264*h - 1519 + 1519)*(3 + 1 - 3)*(3 - 2 + 1).
2528*h
Expand (2 - 4 + 0)*(3*q - 6 + 6) - 589 - 383*q + 591 + 8265*q.
7876*q + 2
Expand 2*q - 2*q - 2*q**2 + (-q + 9*q + 19*q)*(-14 - 17 - 12)*(q - 3*q + 0*q).
2320*q**2
Expand (-6*r + r + 2*r + 0*r - r - r + (-5*r + 4*r - r)*(-1 + 0 + 3) + 21*r - 71*r + 10*r)*(2 - 2 - 2)*(1 - 4 + 0).
-294*r
Expand (-329*o**4 + 99660*o**3 - 99660*o**3)*(-29*o + 10*o + 13*o).
1974*o**5
Expand (-8*i + 9*i - 11*i)*(-i**2 - 2*i**2 + i**2) + (-23*i**2 + 59*i**2 + 66*i**2)*(2*i - 5*i + 2*i).
-82*i**3
Expand (0 - 2 + 1)*(-7 - 1 + 14)*(5*w**5 - 10*w - 27 + 27).
-30*w**5 + 60*w
Expand (3 + 0 + 9)*(3*g - g + 6*g)*(-5 + 4 - 1)*(-6 + 12 + 0)*(3 + 0 - 4).
1152*g
Expand (610 + 4 - 66)*(15*d + 13*d + d).
15892*d
Expand (-3*j + 3*j + 12*j**2)*(-8 + 8 - 3*j) - 3*j**3 + 25*j**3 + j - j.
-14*j**3
Expand ((-3*n + n + 3*n)*(-13*n**2 + 14 - 14) - 7*n**3 + 70*n**3 + 15*n**3)*(0*n + 2*n**2 + 0*n).
130*n**5
Expand (-21*i**2 + 5*i**2 - 36*i**2)*(6*i**2 + 2*i**2 - 5 + 9*i - 8*i).
-416*i**4 - 52*i**3 + 260*i**2
Expand (-2 - r + 2)*(84 + 125 - 132) + 4*r - 3*r - 13*r.
-89*r
Expand 2*x**2 + 0*x**2 + 0*x**2 + 2*x**2 + 0*x**2 + 0*x**2 + x**2 - 6*x**2 + 3*x**2 + (2*x + 2*x - 2*x)*(-2*x + 3*x + x) - 291*x**2 + 29*x**2 - 69*x**2.
-325*x**2
Expand -4*s**3 + 6*s**3 - s**3 + (574*s**2 + 76*s**2 + 13*s**2)*(-4*s + 2*s - s).
-1988*s**3
Expand (249 - 8*b - 509 + 262 + 4*b**2)*(7 - 2 + 0).
20*b**2 - 40*b + 10
Expand 4*w + 0 + 0 + (-4 + 0 + 3)*(30*w + 251 - 251) + w + 2*w - 2*w + 2*w - 2 + 2 + w + 4 - 4.
-22*w
Expand (2 + 2*n**2 - 2)*(-90*n - 24*n - 53 - 89*n + 68*n).
-270*n**3 - 106*n**2
Expand 423*x**3 - 423*x**3 + 56*x**5 + (-x**3 + 1 - 1)*(-6 + 6 + 16*x**2).
40*x**5
Expand (-6 + 2 + 1)*(-447*z + 614*z - 2191*z).
6072*z
Expand (4 - 2 - 3)*(-3 + 3 - 2*q**3) + 4 - 4 - q**3 + 58*q - 58*q + 4*q**3 + (-135*q + 126*q + 522*q)*(-2*q**2 + 1 - 1).
-1021*q**3
Expand (0 + 4 - 1)*(-3*z - 12*z - 4*z)*(-44*z**3 - 16*z**3 + 14*z**3).
2622*z**4
Expand (2 - 3 + 2)*(-221 - 305 - i + 87) + 3*i - 2*i + i.
i - 439
Expand ((5*g + g + g)*(-22*g + 22*g - 5*g**2)*(-1 - 3 - 1) + (-3*g - 3*g + 4*g)*(-4*g**2 - 3*g**2 + 6*g**2))*(0*g**2 + 0*g**2 + 3*g**2).
531*g**5
Expand (4*m**2 + 5 - 5)*(12 + 30 + 4 + (-2 + 2 - 3)*(2 - 2 - 2)).
208*m**2
Expand (-b + 6*b - 11*b - 3)*(6 + 2 + 2)*(35*b**4 - 16*b**4 - 29*b**4).
600*b**5 + 300*b**4
Expand 255*w - 125*w - 129*w + 35*w**2 + (1 - w - 1)*(-1 + 1 + 2*w).
33*w**2 + w
Expand (-42 + 9 - 11)*(-48 - 17 + 107 + 2*h).
-88*h - 1848
Expand -743*n + 118338 - 118338 + (3 - 4 - 3)*(n + 3*n - 5*n).
-739*n
Expand (26*d + 44*d + 108*d)*(4 - 2 + 1)*(21 - 21 + 29*d).
15486*d**2
Expand (11*t**2 + 494*t - 494*t)*(3*t - t - 3*t) + 53*t**3 + 50*t**3 - 25*t**3.
67*t**3
Expand (n**2 + 2*n**2 - 2*n**2 + (n + n - 4*n)*(-4*n + 6*n + 2*n))*(944053 - 338*n**2 - 2850*n**2 - 944055) + 4*n**3 - 4*n**3 - 2*n**4.
22314*n**4 + 14*n**2
Expand (642*f - 635*f - 14*f**2 + 182*f**2)*(-4*f + 0 + 11*f + 3*f + 1).
1680*f**3 + 238*f**2 + 7*f
Expand (-142 - 272*u + 132*u + 138*u)*((-4 + 5 - 3)*(1 + 0 + 1) + 1 - 1 + 2)*(3*u + 2 - 2).
12*u**2 + 852*u
Expand 126*b**2 - 142 + 142 - 3*b**2 - 3*b**2 + 3*b**2 + (-6*b + 4*b + 6*b)*(b + 2*b - 4*b).
119*b**2
Expand (5 - 5 + 3*n)*(3*n + n - 2*n + 176*n + 254 - 254 - 6*n + 5*n + 0*n + (-2*n - n + n)*(0 - 1 - 1) + 2*n + 4*n - 4*n).
549*n**2
Expand (2*b**2 - 5*b**2 - b**2)*(-2*b**2 - b**2 - 3*b**2) + 11*b**4 + 31*b**3 - 31*b**3.
35*b**4
Expand (-223*r**2 + 6 + 160*r**2 + 181*r**2)*(-8*r**2 + 5*r**2 + 5*r**2).
236*r**4 + 12*r**2
Expand (3*n**5 - 3*n**5 - 2*n**5)*(-2 + 0 + 0) + 0*n**5 - 4*n**5 + 2*n**5 + (0 - 3*n + 0)*(42*n**4 + 33*n**4 + 38*n**4).
-337*n**5
Expand (2*l**2 + l**2 + 0*l**2)*(-526 + 893 + 2*l**2 - 3727*l**3 - 366).
-11181*l**5 + 6*l**4 + 3*l**2
Expand (-31*b - 17*b - 5*b)*(-10 + 58 + 13) + 1 - 1 + b.
-3232*b
Expand (22 + 11 + 49 + 27)*(0*t**5 - 3*t**5 + 2*t**5 + (1 - 4 - 1)*(-t - 3*t**5 + t)) - 5*t**3 + 5*t**3 + 9*t**5.
1208*t**5
Expand (-1 + 1 + t**5)*(-2 + 0 + 5) + (2*t - 2*t - 2*t**3)*(79*t**2 - 190 + 190) + 2 - 2 + 7*t**5.
-148*t**5
Expand (-754*u + 748*u - 311 + 205)*(2 - 2*u + 4 - 4).
12*u**2 + 200*u - 212
Expand (-19591 + 9789 + 7500)*(-19*h + 18 - 18 + (2 - 2 - 2)*(2*h - h - 2*h)).
39134*h
Expand ((5*j - j - 3*j)*(2 - j - 2) + 95*j - 7*j**2 - 95*j)*(-1 + 1 - 2 + (1 + 2 - 5)*(-26 - 29 + 50))*(0*j**2 + 0*j**2 + 2*j**2).
-128*j**4
Expand (-2*r - 1 + r + 10*r)*(-201*r**3 + 28 - 27 + 258*r**3).
513*r**4 - 57*r**3 + 9*r - 1
Expand (q**2 + 3*q**2 - 2*q**2)*(-7*q + 2*q + 2*q)*(-923*q + 1486*q - 717*q).
924*q**4
Expand (-3*p + 0*p + p)*(-269 + 2 - 198)*(-5*p + p**2 + 5*p) - p**3 + 3*p**3 - 6*p**3.
926*p**3
Expand (43*c**2 - 63*c**2 + 204*c**2 + 214*c**2 + 60*c**2)*(-58 + 58 - 30*c**3).
-13740*c**5
Expand (-3 + 3 - 1)*(-2*f + 2*f - f**3) + 5*f**3 - 3*f**3 + 0*f**3 + (-34 - 29 + 1782*f + 63)*(3 - 3 - f)*(3*f - 3*f - 2*f).
3567*f**3
Expand (-1 - 2*v + 1)*(1 + 1 + 0) + 0*v + 2*v - 3*v + 2*v + 3 - 3 + 12 - 5 - 3*v - 2 + (0 + 0 - 2*v)*(-2 - 4 + 4) - 3 + 3 - 2*v + 2*v + 2*v - v.
-v + 5
Expand ((7 - 17 - 8)*(-4 + 4 - 2) + 7 + 4 + 2)*(3*i - 3*i + i).
49*i
Expand -354*b**3 + 20*b**3 + 668*b**3 + (5 + 2*b - 5)*(7 - 2*b**2 - 7).
330*b**3
Expand 5*p**2 + p**2 - 4*p**2 + (4*p**2 - 22*p**2 - 19*p**2)*(-3 + 2 - 2) + 4*p**2 - 2*p**2 - p**2 - p**2 + 8*p**2 - 2*p**2 + (3 - 3 + p**2)*(4 - 5 - 1).
117*p**2
Expand 1 + u**4 - 1 + (3*u**2 - 4*u**2 + 3*u**2)*(2*u**2 + u**2 - 5*u**2) + u - u + 2*u**4 - 30*u**4 - 6*u + 1 + 8*u + 29*u**4.
-2*u**4 + 2*u + 1
Expand (-1607*r**2 - 1866*r**4 + 1607*r**2)*(-4 + 7 + 0).
-5598*r**4
Expand (5*a + 3*a + 3*a)*(-1 - 3 + 2)*(11*a - 36*a + 12*a).
286*a**2
Expand (-360*r + 185*r + 183*r)*(r**2 + 1 - 1)*(-2 + 6 - 5).
-8*r**3
Expand -2369*a**3 - 2388*a**4 + 2369*a**3 + (2*a**2 - 3 + 3)*(2*a**2 + 2 - 2).
-2384*a**4
Expand 10*v**2 - 16*v**2 + 3*v**2 + 2*v**2 + v - v + 3*v**2 + (-8*v - 204 + 204)*(2*v - 5*v + 2*v).
10*v**2
Expand (7 - 7 + 5*q**2 + (-3*q**2 + 0*q**2 + q**2)*(-5 + 1 + 0) + (-2*q - q + 9*q)*(2*q + 1 - 1) + 7 - 3 + 12*q**2 - 2)*(2*q**2 + 0*q**2 + 0*q**2).
74*q**4 + 4*q**2
Expand 0*n**5 - n**5 - n**5 + 1481*n**5 - 5333*n**5 - 512*n**5 + (-1 + 4 - 5)*(-2*n**5 + 2 - 2).
-4362*n**5
Expand -6*o**4 + 4*o**4 - 9*o**4 + (2*o**4 - o**4 - 4*o**4)*(-18 - 39 + 2).
154*o**4
Expand o**2 - 3*o**5 - o**2 + (o**2 + 3*o**2 + 3*o**2)*(-o - o**3 + o) + (-35*o**3 + 71*o**3 + 157*o**3)*(-o**2 - 3*o**2 + 3*o**2).
-203*o**5
Expand 0*r + 3*r - 4*r - r + 1 - 1 + 2 - 2*r - 2 + (1 - 3 + 3)*(-r - 1 + 1) + 0*r - r + 0*r + 104*r + 236 - 236.
98*r
Expand (28*j**3 + 34*j**3 + 2*j - 81*j**3)*(6*j**2 - 9*j + 9*j).
-114*j**5 + 12*j**3
Expand (1221 - 1193 - 4171)*(3*l**4 + 3*l**4 - 4*l**4).
-8286*l**4
Expand (-4 + 1 + 12)*(-926*t**4 + 98*t**4 - 8*t**4).
-7524*t**4
Expand (-253*x - 63*x**2 + 253*x)*(4 - 6 + 18).
-1008*x**2
Expand -10*v**2 + v**4 + 10*v**2 + (0*v + 3*v - 2*v)*(0 + 0 + v**3) + v**3 + 2*v**4 - v**3 + 6*v**4 - 2*v**4 - 15*v**4.
-7*v**4
Expand 2*f**5 + 20*f**5 - 17*f**5 + 293*f**2 - f**5 - 2*f**5 + f**5 + (f**4 + 2*f**4 - 2*f**4)*(-1 + 1 + f).
4*f**5 + 293*f**2
Expand (9 - 254*p - 17*p**2 - 12 + 255*p)*(-3*p + p + 0*p).
34*p**3 - 2*p**2 + 6*p
Expand (-2 + 3*r - r - 3*r)*(2692 + 6346 + 707 + 1381).
-11126*r - 22252
Expand 196*y**4 + 3*y**5 - 196*y**4 + (-y**3 + 3 - 3)*(4*y**2 - 2*y**2 - y**2) - 190*y**4 + 190*y**4 + 9*y**5.
11*y**5
Expand (0*a**2 + 0*a**2 - a**2)*(7*a**2 + 6*a + 0*a - 7*a)*(-30*a + 20*a + 30*a).
-140*a**5 + 20*a**4
Expand -44*b**2 + 89*b**2 + 299*b**2 + (-3*b + 0*b + 4*b)*(0 + 0 + 2*b) + 2*b**2 - 3*b + 3*b.
348*b**2
Expand ((2 + 1 - 1)*(-9*l - 19*l - 11*l) + 20*l + 2*l + 0*l)*(1 - 1 - 2).
112*l
Expand -2*a**3 - 3*a**3 + 7*a**3 + 46*a**2 + 3*a**3 - 2*a - 4 - 46*a**2 - 2*a**3 - 2*a**3 + 5*a**3 + (4*a + a**2 - 4*a)*(5*a + 0*a | {
"pile_set_name": "DM Mathematics"
} |
he m'th term of 34767, 34764, 34761?
-3*m + 34770
What is the w'th term of -1396754, -1396764, -1396772, -1396778, -1396782, -1396784?
w**2 - 13*w - 1396742
What is the j'th term of -9134, -9149, -9164, -9179, -9194, -9209?
-15*j - 9119
What is the b'th term of 172313, 172322, 172331, 172340, 172349, 172358?
9*b + 172304
What is the k'th term of -37, -110, -229, -394, -605, -862?
-23*k**2 - 4*k - 10
What is the x'th term of -114074, -114067, -114048, -114011, -113950, -113859, -113732?
x**3 - 114075
What is the u'th term of 5, 40, 93, 158, 229?
-u**3 + 15*u**2 - 3*u - 6
What is the t'th term of -361, -434, -485, -514, -521, -506, -469?
11*t**2 - 106*t - 266
What is the j'th term of 10951, 10949, 10945, 10939, 10931?
-j**2 + j + 10951
What is the y'th term of 54056, 108132, 162208, 216284, 270360?
54076*y - 20
What is the i'th term of -350, -684, -982, -1226, -1398, -1480, -1454?
3*i**3 - 355*i + 2
What is the o'th term of -148004, -148002, -148000, -147998, -147996, -147994?
2*o - 148006
What is the d'th term of -966, -1014, -1136, -1368, -1746, -2306, -3084, -4116?
-6*d**3 - d**2 - 3*d - 956
What is the k'th term of -99, -406, -713, -1020, -1327, -1634?
-307*k + 208
What is the r'th term of 12131, 24215, 36297, 48377, 60455?
-r**2 + 12087*r + 45
What is the p'th term of -150, -146, -138, -126, -110?
2*p**2 - 2*p - 150
What is the k'th term of -1761737, -1761736, -1761735?
k - 1761738
What is the c'th term of 192, 400, 648, 942, 1288, 1692, 2160, 2698?
c**3 + 14*c**2 + 159*c + 18
What is the o'th term of -43374, -43378, -43414, -43488, -43606, -43774?
-o**3 - 10*o**2 + 33*o - 43396
What is the j'th term of 171194, 342391, 513588?
171197*j - 3
What is the q'th term of 430, 893, 1370, 1867, 2390, 2945, 3538, 4175?
q**3 + q**2 + 453*q - 25
What is the m'th term of 199, 241, 379, 661, 1135?
8*m**3 - 14*m + 205
What is the n'th term of -484649, -484645, -484641?
4*n - 484653
What is the c'th term of -9791, -19581, -29371, -39161?
-9790*c - 1
What is the y'th term of 117, 278, 439, 600?
161*y - 44
What is the g'th term of -64763, -64764, -64765, -64766, -64767?
-g - 64762
What is the z'th term of 531, 2196, 4969, 8850?
554*z**2 + 3*z - 26
What is the s'th term of 13, 133, 329, 601, 949?
38*s**2 + 6*s - 31
What is the u'th term of -75373, -75380, -75387, -75394?
-7*u - 75366
What is the o'th term of 5033, 5031, 5029, 5027, 5025?
-2*o + 5035
What is the a'th term of 394, 1092, 2242, 3850, 5922?
a**3 + 220*a**2 + 31*a + 142
What is the s'th term of 67, 58, 43, 22?
-3*s**2 + 70
What is the q'th term of 332, 598, 1042, 1664, 2464?
89*q**2 - q + 244
What is the y'th term of 17539, 17545, 17561, 17593, 17647, 17729?
y**3 - y**2 + 2*y + 17537
What is the o'th term of -728, -1347, -1966, -2585?
-619*o - 109
What is the y'th term of -79, -126, -153, -154, -123, -54?
y**3 + 4*y**2 - 66*y - 18
What is the h'th term of -529, -480, -405, -310, -201?
-h**3 + 19*h**2 - h - 546
What is the n'th term of 34, 239, 620, 1177, 1910, 2819, 3904?
88*n**2 - 59*n + 5
What is the x'th term of -48121, -48127, -48135, -48145, -48157, -48171, -48187?
-x**2 - 3*x - 48117
What is the j'th term of 447, 1788, 4025, 7158, 11187, 16112?
448*j**2 - 3*j + 2
What is the j'th term of 53, 285, 697, 1289?
90*j**2 - 38*j + 1
What is the m'th term of 14266339, 14266338, 14266337, 14266336, 14266335, 14266334?
-m + 14266340
What is the i'th term of -3716, -6027, -8338, -10649, -12960, -15271?
-2311*i - 1405
What is the i'th term of -3, -51, -173, -405, -783, -1343, -2121, -3153?
-6*i**3 - i**2 - 3*i + 7
What is the m'th term of 176269, 176262, 176251, 176236, 176217?
-2*m**2 - m + 176272
What is the p'th term of 1982, 3986, 6004, 8042, 10106, 12202?
p**3 + p**2 + 1994*p - 14
What is the q'th term of 3090, 12412, 27950, 49704?
3108*q**2 - 2*q - 16
What is the m'th term of 84, 1, -210, -609, -1256?
-10*m**3 - 4*m**2 - m + 99
What is the q'th term of 3721, 3724, 3727, 3730, 3733?
3*q + 3718
What is the t'th term of -7668, -7740, -7812, -7884?
-72*t - 7596
What is the r'th term of 686, 1331, 1984, 2645, 3314, 3991?
4*r**2 + 633*r + 49
What is the v'th term of -711, -804, -959, -1176?
-31*v**2 - 680
What is the t'th term of 1265, 1280, 1305, 1340, 1385, 1440, 1505?
5*t**2 + 1260
What is the m'th term of -125, -67, -23, 1, -1, -35?
-m**3 - m**2 + 68*m - 191
What is the a'th term of 368558, 368573, 368606, 368663, 368750?
a**3 + 3*a**2 - a + 368555
What is the z'th term of -1030, -1437, -1844, -2251, -2658?
-407*z - 623
What is the w'th term of 167, 710, 1623, 2918, 4607?
2*w**3 + 173*w**2 + 10*w - 18
What is the d'th term of 890, 7098, 23948, 56762, 110862?
887*d**3 - d**2 + 2*d + 2
What is the s'th term of -307, -1285, -2907, -5167, -8059, -11577, -15715, -20467?
s**3 - 328*s**2 - s + 21
What is the s'th term of 3203, 3213, 3223, 3233, 3243, 3253?
10*s + 3193
What is the d'th term of 3148, 12599, 28352, 50407?
3151*d**2 - 2*d - 1
What is the f'th term of -3549, -6545, -9541?
-2996*f - 553
What is the d'th term of 248, 62, -248, -682, -1240, -1922, -2728?
-62*d**2 + 310
What is the n'th term of 1590094, 1590095, 1590096, 1590097, 1590098, 1590099?
n + 1590093
What is the h'th term of 1933, 3877, 5837, 7819, 9829, 11873, 13957, 16087?
h**3 + 2*h**2 + 1931*h - 1
What is the f'th term of 97, 22, -177, -560, -1187, -2118?
-10*f**3 - 2*f**2 + f + 108
What is the f'th term of 125, 242, 369, 512, 677, 870, 1097?
f**3 - f**2 + 113*f + 12
What is the a'th term of -403, -381, -343, -289, -219, -133?
8*a**2 - 2*a - 409
What is the b'th term of -28665, -57329, -85993, -114657, -143321?
-28664*b - 1
What is the l'th term of 16239, 16231, 16217, 16191, 16147, 16079, 15981, 15847?
-l**3 + 3*l**2 - 10*l + 16247
What is the l'th term of -304713, -304714, -304715?
-l - 304712
What is the u'th term of 1500, 6080, 13692, 24318, 37940?
-3*u**3 + 1534*u**2 - u - 30
What is the a'th term of -18011, -36024, -54037, -72050, -90063, -108076?
-18013*a + 2
What is the v'th term of 410, 1207, 2548, 4433, 6862, 9835, 13352?
272*v**2 - 19*v + 157
What is the s'th term of 1421656, 1421658, 1421660, 1421662, 1421664?
2*s + 1421654
What is the a'th term of -664, -1235, -1802, -2365, -2924?
2*a**2 - 577*a - 89
What is the d'th term of 220, 130, -32, -266?
-36*d**2 + 18*d + 238
What is the y'th term of 2311, 4615, 6919, 9223?
2304*y + 7
What is the g'th term of 1592583, 1592581, 1592577, 1592571, 1592563, 1592553?
-g**2 + g + 1592583
What is the k'th term of 12, 58, 186, 438, 856, 1482?
7*k**3 - k**2 + 6
What is the z'th term of 1323725, 1323724, 1323723, 1323722?
-z + 1323726
What is the k'th term of 17093, 16904, 16705, 16490, 16253, 15988, 15689?
-k**3 + k**2 - 185*k + 17278
What is the s'th term of 2446, 2425, 2404?
-21*s + 2467
What is the q'th term of -423, -828, -1237, -1656, -2091, -2548, -3033?
-q**3 + 4*q**2 - 410*q - 16
What is the y'th term of 16, 148, 436, 934, 1696?
9*y**3 + 24*y**2 - 3*y - 14
What is the z'th term of -2797, -5581, -8365?
-2784*z - 13
What is the c'th term of 437, 859, 1259, 1637, 1993?
-11*c**2 + 455*c - 7
What is the v'th term of 256, 309, 398, 523, 684?
18*v**2 - v + 239
What is the u'th term of 2280, 2391, 2502, 2613?
111*u + 2169
What is the i'th term of 3637, 3615, 3593, 3571, 3549?
-22*i + 3659
What is the m'th term of -244, -411, -688, -1075, -1572?
-55*m**2 - 2*m - 187
What is the g'th term of -18681, -18671, -18659, -18645?
g**2 + 7*g - 18689
What is the j'th term of -11217, -11063, -10909, -10755?
154*j - 11371
What is the g'th term of 546, 4177, 14036, 33237, 64894, 112121?
519*g**3 - 2*g + 29
What is the i'th term of -5913, -5878, -5821, -5742?
11*i**2 + 2*i - 5926
What is the j'th term of -18143, -36333, -54523, -72713?
-18190*j + 47
What is the a'th term of 1475, 1455, 1435, 1415, 1395, 1375?
-20*a + 1495
What is the a'th term of -1975, -3995, -6015?
-2020*a + 45
What is the c'th term of 6161, 6122, 6087, 6056?
2*c**2 - 45*c + 6204
What is the f'th term of 93336, 93336, 93326, 93300, 93252?
-f**3 + f**2 + 4*f + 93332
What is the s'th term of -27390, -27372, -27346, -27312, -27270, -27220?
4*s**2 + 6*s - 27400
What is the r'th term of -10486, -10497, -10496, -10477, -10434, -10361, -10252?
r**3 - 18*r - 10469
What is the r'th term of 310, 354, 398, 442, 486?
44*r + 266
What is the f'th | {
"pile_set_name": "DM Mathematics"
} |
Suppose -d = -4*m - 2*v, -2*v = 5*m + 3*v - 355. List the prime factors of m.
2, 5, 7
Let h(f) = 6*f - 13. Let d be h(3). Suppose 0 = -4*y + 5*z + 268, 0 = -d*y + z + 2*z + 348. What are the prime factors of y?
2, 3
Let i(j) = 149*j**2 - 9*j + 56. List the prime factors of i(5).
2, 467
Let a = -777 - -5025. List the prime factors of a.
2, 3, 59
Suppose 3*h - 9 = -k, 0 = -2*k - 0*k - 4*h + 8. Let v be (-1)/((k/(-15))/(-2)). Suppose 0 = v*u + 1 - 16. List the prime factors of u.
3
Suppose 0 = 2*v + 697 - 1999. Let b be 24/16 + v/6. Suppose 0 = -5*w + 2*t + 3*t + 125, -t = 4*w - b. What are the prime factors of w?
3
Let g(n) = -n**2 + 5*n + 79. Let d be g(-7). Suppose 5*x = 158 + 107. Let m = x + d. List the prime factors of m.
2, 3
What are the prime factors of 9/21 - (-2 + (-10323)/21)?
2, 13, 19
Suppose 0 = -99*m + 98*m + 4*a + 3590, 4*a - 14360 = -4*m. What are the prime factors of m?
2, 5, 359
Suppose 4*p - 9*p = -70. Suppose -p*i + 545 = -9*i. List the prime factors of i.
109
Suppose -301*t = -298*t + 276. Suppose 5*x = 3*y - 191, -2*x - 150 = 2*x - y. Let u = x - t. What are the prime factors of u?
5, 11
Suppose 0 = 2*c + 3*x - 13, -5*c + 16 = -0*c + 2*x. Suppose 3*a - 13 = c. Suppose a*j - 2*j = 12. List the prime factors of j.
2
List the prime factors of (9412/78)/(6/27).
3, 181
Let w = -23 - -9. Let c(p) = p**2 + 15*p + 17. Let y be c(w). Let s = y - 1. List the prime factors of s.
2
Suppose 19*i = 13*i + 276. List the prime factors of i.
2, 23
Let l(i) = -2*i**2 + 5*i + 5. Let k be l(3). Suppose -4*f = -3*m - 8*f + 202, k*f - 194 = -3*m. List the prime factors of m.
2, 31
Let c(i) = 14*i - 5. Let t(q) = -q. Let k(u) = -2*c(u) - 10*t(u). Let v be k(-5). Suppose 3*w - v = -13. List the prime factors of w.
29
Suppose 2*h = -2*m + 2590, 5*m + 56 = 71. What are the prime factors of h?
2, 17, 19
Let w be (-11)/3 + (-40)/(-60). Let z(k) = -k**3 - 2*k**2 + 2*k + 1. Let l be z(w). Suppose 384 = 2*p + l*p. What are the prime factors of p?
2
Let g(i) = 12*i + 280. What are the prime factors of g(-11)?
2, 37
Suppose 0 = -p - 7*h + 3*h + 5, 0 = -3*p + 3*h. Suppose p = -k, -2*k + k + 64 = r. List the prime factors of r.
5, 13
Let d be -55 - ((-7)/((-28)/(-8)) + -1). Let b = 95 + d. List the prime factors of b.
43
Let t(z) be the first derivative of -5*z - z**3 + 1/4*z**4 - 6 + z**2. List the prime factors of t(4).
19
Suppose -21*f + 2*f + 6479 = 0. List the prime factors of f.
11, 31
Suppose 0*g - 1740 = -4*g. Suppose 0*o = -3*o + g. List the prime factors of o.
5, 29
Let a(h) = 67*h + 18. Let b be a(17). Suppose -7*g + 247 = b. List the prime factors of 3*(-2 - g/6).
59
Let g = -253 - -287. List the prime factors of g.
2, 17
Let l = -1061 - -2518. What are the prime factors of l?
31, 47
Let o(b) = -b**2 + 4*b + 3. Suppose -2*n + 5*v = -25, -n - 2*n + 4*v = -27. Suppose n*m - 11 - 9 = 0. What are the prime factors of o(m)?
3
Let c(f) = -4*f + 6. Let p be c(9). Let v = 99 + p. What are the prime factors of v?
3, 23
Let a = 15269 + -10783. What are the prime factors of a?
2, 2243
Suppose -2*r + 5*m + 276 + 4112 = 0, 5*r = -5*m + 10970. What are the prime factors of r?
2, 1097
Let t(f) = f**3 + 12*f**2 + f + 12. Let g be t(-12). Suppose g = n - 2*n + 37. What are the prime factors of n?
37
Let t(v) = -152*v + 47. What are the prime factors of t(-5)?
3, 269
Let t(d) be the first derivative of -d**2/2 + d + 2. Let j be t(4). List the prime factors of (j - (-36)/8)*24.
2, 3
Suppose -84*n + 190231 = -33965. What are the prime factors of n?
17, 157
Suppose 0 = -3*m - 3*b + 1307 + 14797, -5*b = -2*m + 10722. List the prime factors of m.
2, 2683
Let l = -33 + 23. Let t(r) = -r**2 - 14*r + 13. Let w be t(l). Suppose 2 = c - w. List the prime factors of c.
5, 11
Let x be (1 - 3)/((-28)/16282). Suppose 5*p - 5*u = 1300, -4*p - 3*u = 144 - x. What are the prime factors of p?
257
Let s(j) = 6*j + 8. Let w be s(6). Suppose -4*m + 152 = -44. Suppose -3*v - m = -3*o - 4*v, 2*o = 5*v + w. What are the prime factors of o?
17
Let l(f) = -f - 13. Let v be l(7). Let t(p) = -6*p - 24. List the prime factors of t(v).
2, 3
Let n = 1368 - 826. List the prime factors of n.
2, 271
Let u = -49 + 105. Let j = -40 + u. What are the prime factors of j?
2
Let w(t) = t**3 - 15*t**2 + t - 15. Let k be w(15). Let u be (-16)/(-6) + (-2)/3. Suppose u*d - d - 30 = k. What are the prime factors of d?
2, 3, 5
Let q(i) = 1 + 3*i + 0*i - 5*i + i. Let m be q(1). Suppose m = -4*j - j + 4*l + 64, 0 = 3*j - l - 44. List the prime factors of j.
2
Suppose -59*p + 35229 + 79821 = 0. List the prime factors of p.
2, 3, 5, 13
Let y be 4/14 + 99/21. Suppose -2*u + 42 = -4*a, -u - y*a = -0*a + 14. List the prime factors of u.
11
Let g = -659 + 1558. List the prime factors of g.
29, 31
Suppose -w - 4*f = -1 - 1, 5*f + 5 = -2*w. Let v = w - -23. List the prime factors of -2 + v - (1 - 1).
11
Let d = -40 + 33. Let u(m) = -7*m - 17. List the prime factors of u(d).
2
Let d = 1 - 1. Suppose 2*c + c - 33 = d. What are the prime factors of 4/22 - (-152)/c?
2, 7
Suppose 36 = z + 2*i - 4*i, -4*i = 4*z - 144. List the prime factors of z.
2, 3
Let z = 7 + -4. Suppose -z*f + 94 = 2*k, 2*k = 5*f + 109 + 1. List the prime factors of k.
2, 5
Suppose 2*r + 4 = 0, 0 = 3*d - d + 2*r - 154. Suppose 0 = -5*s + v + 243, -4*s - 5*v + 177 = -0*v. Let z = d - s. What are the prime factors of z?
31
Let y(a) = a**3 + 9*a**2 - 10*a - 12. Let l = -93 + 85. What are the prime factors of y(l)?
2, 3, 11
Let y(l) = -12*l - 61. Let a be y(-6). Let b(v) = v**3 - 8*v**2 - 20*v + 21. List the prime factors of b(a).
2, 41
Let g(k) = -5*k - 13. Let a be g(-9). Suppose -a - 3 = -5*y. Let z = 9 + y. What are the prime factors of z?
2
Let o(f) = f**3 - f**2 + 2*f + 8. Let r be o(0). What are the prime factors of 2/r - (-283)/4?
71
List the prime factors of (-714)/63*(-78)/4.
13, 17
Suppose 10 + 2 = 4*b. Let o be (1/(-1))/(b/438). List the prime factors of (-8)/12 + o/(-3).
2, 3
Let f be 0 + (-10)/(-2) + -1. Let l be (f/10)/((-1)/(-5)). Suppose -7*s + 15 = -l*s, -5*c + 263 = s. What are the prime factors of c?
2, 13
Let m(c) = c**2 - 9. Let s be m(-3). Suppose 3*u = -3*h + 216, -5*h - 15 = -s*h. List the prime factors of u.
3, 5
Let d = -9 - -9. Suppose 9*q - 1735 + 205 = d. What are the prime factors of q?
2, 5, 17
Let a = 24 - 8. Let g be ((-36)/a)/(3/(-8)). Suppose 5*w - 2*u - 90 = 0, w - 4 - g = 2*u. List the prime factors of w.
2, 5
Let c be (-2)/(-4) + (-75)/(-30). Suppose -4*b + c = -5*t, 2 = t + 1. List the prime factors of 252/(-2)*(-1)/b.
3, 7
Let z be (8/(-16))/(1/650*-1). Suppose -5*j = 4*v - z, 4*v + 3*j = 7*j + 352. What are the prime factors of v?
5, 17
Let d(l) = 27*l - 53. List the prime factors of d(18).
433
Let k = -15 - -10. Let s = -3 - k. Suppose -s*p + 2 = 10, -3*t - p + 38 = 0. What are the prime factors of t?
2, 7
Let f(t) = -t**3 - 12*t**2 - 8*t - 8. Let j be f(-11). Let o = j + 1. List the prime factors of (o/12)/(2/(-33)).
5, 11
Suppose 27*o - 1864 = 26*o. What are the prime factors of o?
2, 233
Let o = 294 - 61. List the prime factors of o.
233
Let m(s) = -s**2 + s + 1. Let c(n) = n**3 + 6*n**2 + 3*n - 5. Let j(b) = -c(b) - 2*m(b). Let y be j(-5). Let q = 76 - y. List the prime factors of q.
23
Let r(k) = 3*k + 8. Let z be r(-5). Let t be 2/z - (-308)/49. Suppose y - i - 12 = -t*i, 0 = -2*y - 4*i + 30. List the prime factors of y.
17
Let s(k) = -2*k**2 + 16*k + 16. What are the prime factors of s(6)?
2, 5
Suppose 0 = -12*s + 7*s. Suppose -w - 7 + 23 = s. Suppose 2*v = w + 78. List the prime factors of v.
47
What are the prime factors of -3 + 5 + -7 - (-1660 + 58)?
1597
Let d(g) = -2 + g**3 + 1 - 14*g**2 + 19*g + g**2 + 3. List the prime factors of d(13).
3, 83
Let m(p) be the second derivative of p**6/360 + p**5/40 - 2*p**4/3 - p**3 - 6*p. Let r(u) be the second derivative of m(u). What are the prime factors of r(-7)?
2, 3
Let j(v) = 1 + 6*v**2 - 5*v**2 + 2 - 4*v. Let z be j(4). Suppose -6*c = 5*a - c - 100, -102 = -5*a - z*c. What are the prime factors of a?
3, 7
Suppose n = 1 - 2, n = b - 5. List the prime factors of 20/b*(10 + -2).
2, 5
Let r = 50 + -47. Suppose 3*p = 5*b - 123, 77 = r*b - 2*p + 4. List the prime factors of b.
3
Let g(i) = 38*i**2 - 4*i + 12. What are the prime factors of g(-5)?
2, 491
Let a(n | {
"pile_set_name": "DM Mathematics"
} |
42818365*3
2828455095
What is the product of -1314499 and 2?
-2628998
Work out 0.03 * -0.04091769.
-0.0012275307
Multiply 327491 and -20.
-6549820
Multiply 12 and 347773.
4173276
Multiply -1 and -21664927.
21664927
-46.33313*-0.067
3.10431971
139 * -0.36497
-50.73083
9.1155 times 0.06
0.54693
What is 0.31 times -1690396?
-524022.76
109.3846 times 1.3
142.19998
What is the product of 7 and 4821490?
33750430
22*1432.39
31512.58
Work out 122953 * -299.
-36762947
9.91*89933
891236.03
What is the product of -50 and 6986.16?
-349308
Multiply -0.0091407 and -0.28.
0.002559396
27.8*1032685
28708643
Product of 0.5 and -2399310.71.
-1199655.355
Multiply 389 and 0.0343.
13.3427
What is the product of 29584303 and 4?
118337212
Calculate -0.3*-32834617.
9850385.1
-4540578 times 0.1
-454057.8
17.073654 times -4.2
-71.7093468
1.308*26.8794
35.1582552
-3671 * 25343
-93034153
2 * -60439774
-120879548
-2.1*3567413
-7491567.3
Calculate 4.40246*0.0222.
0.097734612
Product of -1599643 and -0.2.
319928.6
What is the product of 33.70844 and 1?
33.70844
-67134382*0.11
-7384782.02
What is the product of -53 and -15.026?
796.378
-22911*-0.1821
4172.0931
Work out -18929593 * 0.4.
-7571837.2
What is 18510 times -203?
-3757530
What is the product of -36.5247 and -3?
109.5741
Calculate -3*-116756233.
350268699
-110159.87 * -1.7
187271.779
Work out 799.4 * 111720.
89308968
What is the product of 394881 and -27?
-10661787
-0.78*3114.77
-2429.5206
-9954979 times 5
-49774895
-2*619947
-1239894
Product of 0.4 and -88988222.
-35595288.8
-704 times -0.62952
443.18208
0 * -5505065
0
Multiply -27.4373 and -0.0144.
0.39509712
Multiply -0.00164 and 2728.
-4.47392
Calculate -76*-13436.01.
1021136.76
12.267 * -1563
-19173.321
-22771 times -58.3
1327549.3
Calculate 103.07*8733.
900110.31
Product of -11290 and 0.3327.
-3756.183
What is -4 times 185575.9?
-742303.6
What is the product of -47 and 5354833?
-251677151
Multiply 9516136 and 0.1.
951613.6
-4 times 1516.852
-6067.408
Calculate -0.3692115*-0.3.
0.11076345
Multiply 48018 and -0.6925.
-33252.465
Product of -0.9099 and 7.3.
-6.64227
Multiply -1069.7 and 10.957.
-11720.7029
What is 229 times -2.43339?
-557.24631
-0.5*182.1752
-91.0876
Calculate -89.12561*-0.4.
35.650244
What is -6630 times -0.46092?
3055.8996
-0.07 times -10553.58
738.7506
What is 1938916 times -2?
-3877832
-11081.9 * 0.1361
-1508.24659
What is 2 times -904.259?
-1808.518
What is the product of 639038 and -17.8?
-11374876.4
What is the product of 528136052 and -0.5?
-264068026
Product of 0.2 and -4677.4278.
-935.48556
Product of -27.39786 and 118.
-3232.94748
What is 3417 times 4.271?
14594.007
10008 times 73
730584
12705*6532
82989060
1 times -0.38638
-0.38638
165355192 times -5
-826775960
Work out -5335 * 102.75.
-548171.25
What is the product of -0.01077807 and 0.1?
-0.001077807
What is the product of -3 and 2645.92438?
-7937.77314
-2041242*0.3
-612372.6
What is 63137825 times 1?
63137825
1.4 times -2.779699
-3.8915786
0.1*-8.09092
-0.809092
1 times -121379.82
-121379.82
Work out 353 * 30133.
10636949
-0.8 * 763663
-610930.4
19.005 times -2.37
-45.04185
Calculate 7.2*36026.
259387.2
Multiply 1.87 and 6409.3.
11985.391
-768*-42973
33003264
What is -0.036325 times -2972?
107.9579
Multiply 54.9137 and 0.09.
4.942233
Work out -4 * 1.20539095.
-4.8215638
Product of 3731467 and -0.058.
-216425.086
Multiply -0.000224467 and 0.1.
-0.0000224467
Calculate -0.7534*-3700.
2787.58
What is the product of 1435 and -3.2942?
-4727.177
Calculate 0.22*4036273.
887980.06
-121738161*0.2
-24347632.2
Multiply 73344 and -1960.
-143754240
Product of 0.1 and -82894001.
-8289400.1
5550029*1.09
6049531.61
Work out 3437 * 5.97.
20518.89
Product of -1.2 and 777533.
-933039.6
Work out -7.2 * -0.08295926.
0.597306672
What is the product of 155295 and -24.8?
-3851316
What is the product of 3.03 and 379?
1148.37
0.105*0.05846
0.0061383
What is 2529973 times 0?
0
Work out -0.0113 * 126957.
-1434.6141
What is the product of -672994 and 0.07?
-47109.58
2794 * 1436
4012184
-2 times -62725589
125451178
What is 0.4127 times 3428?
1414.7356
Calculate 1*-2238552.
-2238552
2 times 9981819
19963638
-791 * -1118.4
884654.4
Work out -0.39452 * 67.
-26.43284
-0.3*1123.7157
-337.11471
Work out 0.6 * -66.7109.
-40.02654
Work out -6784124 * 0.
0
-2.3*-3065325
7050247.5
What is the product of -21 and -2014859?
42312039
What is -1123 times 16246?
-18244258
Calculate 53*5008.2.
265434.6
Multiply 1 and 2582723.5.
2582723.5
Work out 1619 * 126.922.
205486.718
Work out 0 * 245710.
0
17547 * 3661
64239567
Calculate 1.4071*-821.
-1155.2291
4401516 times -17
-74825772
What is 7 times 1031810?
7222670
Multiply -764756273 and 0.1.
-76475627.3
Product of 822767 and 6.96.
5726458.32
Calculate 14*-15.55311.
-217.74354
1 times -267.3157
-267.3157
-0.065 * -65884
4282.46
What is the product of 12264527 and 4?
49058108
Work out 0.5 * 22.148705.
11.0743525
Multiply 0.4 and -183909513.
-73563805.2
Calculate -4.31968*-74.
319.65632
What is the product of 1547 and 4.066?
6290.102
Calculate 19171.1*-59.
-1131094.9
-179071773 times -0.4
71628709.2
-1212*-5750
6969000
3.657225*-0.2
-0.731445
-12911 * -0.084
1084.524
What is the product of 1572.7 and -0.00595?
-9.357565
What is 6 times 202910?
1217460
Calculate 20.3721*-475.
-9676.7475
Work out -1 * -97681.
97681
What is the product of 7 and -1.1818029?
-8.2726203
Work out -101.37876 * -0.4.
40.551504
Multiply -473812 and -0.13.
61595.56
44 * 25032.1
1101412.4
-6*80.597004
-483.582024
0.1 * -0.02923617
-0.002923617
Multiply -125 and 0.089976.
-11.247
50615297*0.2
10123059.4
-180.80191 * 2.8
-506.245348
Product of 1154213 and -0.139.
-160435.607
-1.442 * -185087
266895.454
-28*594.134
-16635.752
16541439*-0.5
-8270719.5
Work out 4 * 0.012779591.
0.051118364
Work out -0.5 * 245029.82.
-122514.91
What is 24.7198 times -5?
-123.599
-3269 times -536
1752184
What is the product of 46496 and -0.47?
-21853.12
Product of 28.21 and 3114.
87845.94
Multiply 17084 and 13327.
227678468
-26239 * 20.5
-537899.5
Multiply 0.2163 and 57.334.
12.4013442
What is the product of -1 and 79333845?
-79333845
What is the product of 0.071 and -636647?
-45201.937
1149621 * 6.4
7357574.4
Multiply -8.757 and 1287.4.
-11273.7618
-2.6186*2090
-5472.874
Work out -0.46 * 0.05032372.
-0.0231489112
What is 0.3 times 12132890?
3639867
Product of -12.8 and 0.73617.
-9.422976
Calculate 8.6556*0.136.
1.1771616
Product of -1825.6122 and -0.04.
73.024488
287364922 * 0.5
143682461
-0.022461 times -393
8.827173
What is -1545091 times 0.12?
-185410.92
Calculate -15*-2669482.
40042230
What is -3955159 times 0.3?
-1186547.7
Work out -7305.1 * -0.835.
6099.7585
What is 0 times 622225?
0
Multiply 25 and 112054.
2801350
What is -62.63 times 1723?
-107911.49
Calculate 0.940132*3.44.
3.23405408
Product of 0 and 143469347.
0
Calculate -0.2*-7302211.
1460442.2
What is the product of -348738 and 51?
-17785638
Calculate 36303.1*18.6.
675237.66
Multiply 23 and 0.3792.
8.7216
2285 times -45763
-104568455
0.06*-1165606
-69936.36
7 * -0.0525
-0.3675
102*-0.19795
-20.1909
67625*1746
118073250
What is 2941.194 times 0.4?
1176.4776
What is the product of -0.2 and -677503.93?
135500.786
What is the product of -38765 and -74?
2868610
What is the product of 479 and -98.62?
-47238.98
0.2*2.130855
0.426171
2*18539786
37079572
-0.1793477 * 0.5
-0.08967385
0.4 * 122852111
49140844.4
Multiply 0.02 and 1429222.
28584.44
What is the product of 4810138 and -3?
-14430414
What is -399482324 times -0.2?
79896464.8
Product of 1503 and 0.059.
88.677
What is 2 times -1123.335?
-2246.67
Work out 0.2 * 16028.8.
3205.76
Multiply -0.3 and -10104607.
3031382.1
-148059.7*117
-17322984.9
-0.44*153953
-67739.32
-80969*352
-28501088
What is the product of -4 and 365585242?
-1462340968
Calculate 115529*2.15.
248387.35
Product of 1388 and 26.5608.
36866.3904
What is the product of -92408611 and 0.5?
-46204305.5
-0.2*-0.30508793
0.061017586
What is 0.45303 times -304?
-137.72112
0.18248 times -366
-66.78768
-0.34*2154327
-732471.18
19.08*-5185
-98929.8
What is the product of -308.5953 and 0.5?
-154.29765
397 times -0.058743
-23.320971
Product of 0.07247744 and -0.5.
-0.03623872
Work out 2.884 * -6.606.
-19.051704
1212.7 times -26.6
-32257.82
Work out 19 * -6773.736.
-128700 | {
"pile_set_name": "DM Mathematics"
} |
920 + f**7/480 - f**6/60 - 2*f**5/5 - 17*f**4/4 - 147*f. Let c(y) be the third derivative of v(y). Factor c(q).
-3*(q - 8)**2*(q + 2)/8
Let n(l) = 3*l**2 - 90*l - 25. Let t be n(30). Let b be t/(-4) + (-3 - (3 + 0)). Factor -1/4*x**4 + x + 0 + x**2 - b*x**3.
-x*(x - 2)*(x + 1)*(x + 2)/4
Factor 3/4*g**3 - 445/2 + 2769/4*g - 149/2*g**2.
(g - 89)*(g - 10)*(3*g - 1)/4
Suppose -1123*r**5 + 201225*r**3 + 284*r**5 - 1557*r**4 + 210609*r**2 + 842*r**5 - 23985 - 1018680*r + 632385 = 0. Calculate r.
-3, 1, 260
Let o = -9498/13 + 47542/65. Factor -16/5*r - 16/5 + o*r**3 + 1/5*r**4 + 0*r**2.
(r - 2)*(r + 2)**3/5
Find p such that -1/4*p**2 - 29/4*p - 105/2 = 0.
-15, -14
Let k(m) be the first derivative of -2*m**3/3 - 114*m**2 + 1190*m - 5639. Factor k(z).
-2*(z - 5)*(z + 119)
Let m(h) = h**3 + 4*h**2 - 6*h + 16. Let j be m(-4). Suppose 4*d**2 - 53*d - 55*d + 24 + 40 + j*d = 0. Calculate d.
1, 16
Let u = 739/5 - 2284/15. Let d = u + 29/5. Solve -2/3*r**5 + 8/3*r**3 + 0*r**4 + 4/3 - d*r**2 - 2*r = 0 for r.
-2, -1, 1
Suppose 73 = 5*y - 32. Suppose -17 + y = m. Factor -2*i**m - 6*i**2 + 3*i**3 - 10*i**3 - i**3 + 0*i**3.
-2*i**2*(i + 1)*(i + 3)
Solve -95*v**3 + 8*v - 10*v - v**2 + 96*v**3 = 0 for v.
-1, 0, 2
Suppose 0 = -176*i + 167*i + 27. Determine s so that 3/2*s + 3/2*s**2 - i = 0.
-2, 1
Factor -1/2*w**3 - 10*w**2 - 56 - 46*w.
-(w + 2)*(w + 4)*(w + 14)/2
Let v(x) be the third derivative of -x**8/112 - 43*x**7/168 - 53*x**6/480 + 14*x**2 - 44. Let v(r) = 0. What is r?
-53/3, -1/4, 0
Let h(w) = -7*w**3 + 3*w**2 + 22*w + 4. Let u(n) = 17 - n**2 + 14 - n**3 - 32 + n. Let z(m) = -h(m) + 4*u(m). Factor z(g).
(g - 4)*(g + 1)*(3*g + 2)
Let t be ((-10)/4 + 1)*-2. Let q = 1343 + -1335. Determine i so that -8*i**t + q*i - 1 + 11*i**4 - 7*i**4 - 3 = 0.
-1, 1
Let b(w) be the third derivative of -w**8/112 - 43*w**7/70 - 699*w**6/40 - 5193*w**5/20 - 2025*w**4 - 5832*w**3 + 1917*w**2. Solve b(n) = 0 for n.
-12, -9, -1
Suppose n = -4*c + 12, -3*n + 2*c + 16 = -20. Let l be (n/(-16))/((-21)/48). Determine k, given that -l*k - 4/7*k**2 - 8/7 = 0.
-2, -1
Let u(m) = 137*m - 1367. Let p be u(10). Let o(v) be the first derivative of 11/4*v**4 + 1331/2*v**2 - 1/20*v**5 - 43 - 14641/4*v - 121/2*v**p. Factor o(r).
-(r - 11)**4/4
Let d(h) be the first derivative of 1/120*h**4 + 0*h**2 - 5 + 21*h - 1/12*h**3. Let c(m) be the first derivative of d(m). Factor c(j).
j*(j - 5)/10
Let z(y) = 2*y**2 - 51*y + 12. Let f(u) = -93*u + 28. Let o(r) = -r**2 + 95*r - 28. Let w(s) = 3*f(s) + 4*o(s). Let a(p) = -3*w(p) - 7*z(p). Factor a(i).
-2*i*(i - 27)
Factor -3858 + 3848 - 1835*j**2 + 742*j + 1103*j.
-5*(j - 1)*(367*j - 2)
Let k(n) = -n**2 - 9*n - 34. Let d be k(-26). Let j = d - -478. Factor 4/5*i + 0 + 4/5*i**3 + 8/5*i**j.
4*i*(i + 1)**2/5
Suppose -3*b + 9 = -30*x + 34*x, -4*b + 5*x = -12. Let c(k) be the first derivative of -13 - 2/11*k - 1/33*k**b + 3/22*k**2. Factor c(i).
-(i - 2)*(i - 1)/11
Let j = 583 - 348. Let c = 1178/5 - j. Factor 1/5*s**2 + c*s - 4/5.
(s - 1)*(s + 4)/5
Suppose 6*i - 8 = 2*i. Factor i*c - c**5 + 1159*c**4 - c**5 + 4*c**2 - 1163*c**4.
-2*c*(c - 1)*(c + 1)**3
Let b = 5 - 3. Factor b*c**2 + 6*c**2 - c**4 + c**2 + 9*c**2 - 17*c**3.
-c**2*(c - 1)*(c + 18)
Let w(c) = 8*c**4 + 27*c**3 + 1082*c**2 + 7458*c + 6410. Let j(b) = -3*b**4 + b**3 - 2*b**2 + 1. Let v(a) = -12*j(a) - 4*w(a). Factor v(y).
4*(y - 53)*(y + 1)*(y + 11)**2
Factor 59/4*p**2 - 43*p - 16 - 3/4*p**3.
-(p - 16)*(p - 4)*(3*p + 1)/4
Let k be ((-9)/15 - 0)/((-72)/240). Factor 54*w - 2199 + 2253 + k*w**3 + 5*w**2 + 13*w**2.
2*(w + 3)**3
Let w(k) = -k**3 + 8*k**2 + 9*k - 5. Let n be w(9). Let q = n + 7. Factor 45*y**q - 27 + 174 + 30*y**3 - 33*y**3 - 189*y.
-3*(y - 7)**2*(y - 1)
Suppose 34 = 16*n + 2. Find x, given that 0*x + 44*x**2 - 22*x**n - 12*x + 14 - 24*x**2 = 0.
-7, 1
Let d = -595 + 596. Suppose 22 - 76*s + 4*s**3 - 6*s**3 + d - 7 + 53*s**2 + 9 = 0. Calculate s.
1/2, 1, 25
Let u(b) = b**2 - 13*b + 52. Let h be u(7). Let t be (-2)/h*(-9 - -8). Let -t*s**2 + 3/5*s + 4/5 = 0. Calculate s.
-1, 4
Factor -1/3*z**4 + 5*z**3 + 0 - 21*z**2 + 27*z.
-z*(z - 9)*(z - 3)**2/3
Let b(n) = 2*n**2 - 18*n**2 - 8*n**3 + 6 + 11*n**2 - 6*n. Let k(i) = -15*i**3 - 9*i**2 - 9*i + 12. Let x(r) = 9*b(r) - 5*k(r). Find l, given that x(l) = 0.
-1, 2
Let a = -724608 - -5072260/7. Solve 2/7*h**5 + 0 + 16/7*h - 18/7*h**3 + a*h**4 - 4/7*h**2 = 0 for h.
-4, -1, 0, 1, 2
Solve -2068 - 132 - 42*o**2 - 43*o**2 + 2205*o + 80*o**2 = 0 for o.
1, 440
Let c = 8619/9653 - 44/49. Let s = 206/1773 + c. Factor -2/9*a + 0 + 1/9*a**2 - s*a**4 + 2/9*a**3.
-a*(a - 2)*(a - 1)*(a + 1)/9
Suppose 241 = 5*u + 4*s, 11*u - 9*u - 2*s = 100. Let r be 4/(-14)*u/(-28). Factor 1/2*m**2 + r + m.
(m + 1)**2/2
Let d(n) be the second derivative of 1/180*n**6 - 1/24*n**4 - 3 - 1/60*n**5 + 0*n**2 + 0*n**3 + 11*n. Factor d(v).
v**2*(v - 3)*(v + 1)/6
Let f(u) = -28*u**2 + 2034*u - 32252. Let a(t) = 110*t**2 - 8137*t + 129005. Let d(z) = -2*a(z) - 9*f(z). Factor d(v).
2*(4*v - 127)**2
Let m(z) = -4*z**2 - 44*z - 38. Suppose 16*k = 38*k + 22. Let j(x) = -x**2 - x - 2. Let i(d) = k*j(d) - m(d). Solve i(b) = 0 for b.
-8, -1
Suppose 60*i = 126 - 6. Let a(v) be the first derivative of 8 + 1/4*v**4 + 16*v + 12*v**i + 3*v**3. Suppose a(w) = 0. Calculate w.
-4, -1
Let q be -7 + (-17)/((-170)/48) - -8. Let c(b) be the first derivative of 32/5*b + 6 - 72/5*b**2 - 36/25*b**5 + q*b**4 - 8/5*b**3. Determine h so that c(h) = 0.
-1, 2/9, 2
Suppose -4*n + 0*n = 2*f + 20, -1 = 3*n + 5*f. Let a(x) = 10*x**2 + 148*x - 144. Let p(z) = 7*z**2 + 99*z - 96. Let r(h) = n*p(h) + 5*a(h). Factor r(m).
(m - 1)*(m + 48)
Suppose 4*x - 28 = -16, -3*d - 3*x + 2574 = 0. Let t = d + -2563/3. Solve 1/3*f**3 + 0*f - t*f**2 + 0 = 0 for f.
0, 2
Let g = 5693/30 - 947/5. Let z(i) be the second derivative of 0 + 2/27*i**3 + 0*i**2 + 5/18*i**4 + 29/135*i**6 + 1/21*i**7 + g*i**5 + 10*i. Factor z(h).
2*h*(h + 1)**3*(9*h + 2)/9
Let v(d) be the second derivative of d**5/50 + 19*d**4/15 - 13*d**3/5 + 159*d. Factor v(k).
2*k*(k - 1)*(k + 39)/5
Suppose -u - h + 4 = 0, 0 = 4*u - 4*h + 3 - 11. Solve -312*k**2 - 834*k**4 + 12*k**2 + 819*k**4 - 160*k**u + 5*k**5 - 160*k = 0 for k.
-2, -1, 0, 8
Let q = -4848 + 4853. Let l(d) be the first derivative of -2/3*d**3 + 0*d + 5/4*d**4 - 5 + 11/5*d**q + 0*d**2 + 2/3*d**6. Solve l(c) = 0 for c.
-2, -1, 0, 1/4
Let i(j) be the first derivative of -2*j**6/3 + 1008*j**5/5 - 21168*j**4 + 790272*j**3 - 6836. Factor i(s).
-4*s**2*(s - 84)**3
Let q(d) = -5*d - 56. Let p be q(0). Let k be p/(-224)*(1 - 0). Factor -1/2 - k*a + 1/4*a**2.
(a - 2)*(a + 1)/4
Let l(x) be the third derivative of 0*x + 16/3*x**3 - 1/180*x**5 + 0*x**4 + 1/540*x**6 + 3 - x**2. Let m(r) be the first derivative of l(r). Factor m(p).
2*p*(p - 1)/3
Let x(k) be the third derivative of -k**7/1680 - k**6/64 - 11*k**5/160 + 115*k**4/192 - 11*k**3/8 - 358*k**2. Determine g so that x(g) = 0.
-11, -6, 1
Factor 16/5 + 38/5*h**2 - 6/5*h**3 - 12*h.
-2*(h - 4)*(h - 2)*(3*h - 1)/5
Let x be (-28827)/(-765) - 35 - ((-19)/17 + 1). Factor x - 2/15*m**2 - 8/15*m.
-2*(m - 3)*(m + 7)/15
Factor 3/2*u - 5/2*u**2 - 3/2*u**3 + 1/2*u**4 + 2.
(u - 4)*(u - 1)*(u + 1)**2/2
Let v be (-32)/32 + 1 + 36. Find d, given that -30*d**4 + v*d**3 + 32*d**4 + 19 + 160*d**2 - 36*d - 181 = 0.
-9, -1, 1
Let q(l) be the third derivative of 2 - 10*l**5 - 1/4*l**6 + 0*l**3 - 2*l**2 - 500/3*l**4 + 0*l - 1/420*l**7. Factor q(g).
-g*(g + 20)**3/2
Let g be 0 + -1 + 12 + (-3 - 0). Let l be 6 - (91/28 + (-2)/g). Determine i so that 135*i**l + 12*i - 1 - 84*i**2 + 3 - 2 = 0.
0, 2/9, 2/5
Let v be ((-8)/(-3) + -2)*(-29 + (-13850)/(-400)). Find z, given that -35/4*z**3 + 11*z - 2 - v*z**5 - 27/2*z**2 + 14*z**4 = 0.
-1, 1/3, 2/5, 2
Let n(o) be the first derivative of 54/7*o**2 - 2/21*o**3 - 1458/7*o - 86. Find f, given that n(f) = 0.
27
Let t be (-11 + 9/108*134)*2. Determine q, given that -2/3 - q - t*q**2 = 0.
-2, -1
Suppose t = -4*t + 245. What is x in 16*x + 11*x**3 + t*x**2 - 64 - 13*x**2 - 40*x**4 + 41*x**4 = 0?
-4, 1
Let j be (-36)/30*(-10)/(-4). Let f = 5 + j. Factor -128 - 4*x**f + 128 + 8*x.
-4*x*(x - 2)
Let j be ((-2)/(-85))/(19406/164951). Factor -12/5*r**4 - 2*r**2 + j*r**5 + 0*r + 0 + 21/5*r**3.
r**2*(r - 10)*(r - 1)**2/5
Let i = -150 + 154. Determine j so that -3* | {
"pile_set_name": "DM Mathematics"
} |
ts digit of q(-4)?
3
What is the ten thousands digit of (9/(27/(-13411)))/(1/(-3))?
1
Let a(w) = 17*w**3 + 42*w**2 + 9*w - 11. What is the thousands digit of a(5)?
3
Let a(d) = d**3. Let i(z) = 10*z**3 - z**2 - 9*z + 24. Let n(w) = -4*a(w) + i(w). What is the tens digit of n(5)?
0
What is the hundreds digit of (-40680)/(-16)*((-16)/28 - 186/(-105))?
0
Let t be 0/1*(-14 + 15). Suppose 42 = 4*l + 3*v - 186, t = 3*l - 5*v - 200. What is the units digit of l?
0
Let q = -148 + 144. Let j be (5 + 25/(-3))/(q/6). Suppose m - 121 - 40 = -y, -3*y + 475 = -j*m. What is the tens digit of y?
6
Suppose 2*q = 2*i + 23300, 25*i - 18*i - 58214 = -5*q. What is the ten thousands digit of q?
1
Let t be (7 - (-57)/(-9))/(4/30). Suppose 188 = a - l, l - 732 = -t*a + a. What is the tens digit of a?
8
Suppose 4*k + j - 3783 = 0, 689 = k - j - 253. Let l = k + -146. What is the units digit of l?
9
Suppose 19*u - 15 = 23. Suppose 0 = -u*c + 2*r + 332, -r + 8 - 13 = 0. What is the hundreds digit of c?
1
Suppose -t + i + 3773 - 174 = 0, -3*t + 10803 = 3*i. Suppose -33*n + 24*n + t = 0. What is the units digit of n?
0
Suppose -z = 4*u + 2, 8*z - 3*z + 5*u = 5. Let y be (-48)/(-5) + z - 8/(-20). Suppose 1186 = y*o - 14. What is the units digit of o?
0
Let p = 41350 + -27002. What is the units digit of p?
8
Let a be (-96 - -8)*(0 + 26/(-8)). Suppose 5379 = 11*d - a. What is the units digit of d?
5
Let d = 26803 + -13293. What is the ten thousands digit of d?
1
Suppose 0 = -4*m - 20, m = 5*x - 99 - 101. Suppose x = j + 5*o, 2*j - 3*j - o = -55. Let n = j - 3. What is the tens digit of n?
5
Let n(p) = 3*p**3 + 3*p**2 - 4*p - 6. Let h = -36 - -30. Let b be ((-1)/4)/(h/72). What is the units digit of n(b)?
0
Suppose j - 14 = -1. Let v(o) = o**3 - 24*o**2 + 127*o + 8. Let h be v(8). Suppose -3*s + 254 + j = h. What is the units digit of s?
9
Let u be ((-14)/(-4))/(-9*(-8)/(-432)). What is the hundreds digit of (-210)/120*(u - -1)*17?
5
Let x be (244/3)/((-7)/(-21)). Let y = x - 123. What is the units digit of y?
1
Let p = -183 - -175. Let i = p + 180. What is the hundreds digit of i?
1
What is the tens digit of -6 - (-92)/16*(218 - 6)?
1
Let o be (-18)/15*5 - -662. Suppose 3*r - 780 = -3*v, -4*r = -3*v - 806 - 255. Suppose 0*y = 2*b + y - r, 2*y - o = -5*b. What is the tens digit of b?
3
Let n(f) = -f**3 - 57*f**2 + 372*f - 124. What is the ten thousands digit of n(-67)?
1
Let x(h) = 8*h - 3*h + 38 - 48. What is the tens digit of x(5)?
1
Let h = -332 + 329. What is the tens digit of 39/117 + (-1871)/h?
2
Suppose -84*l - 181223 = -87*l + 5*h, -2*l + h + 120799 = 0. What is the ten thousands digit of l?
6
Let h(g) = -g**3 + 2*g**2 + 2*g + 1. Let t be h(2). Suppose -t*u + 2*i = -0*i, -u + 2*i = 8. What is the tens digit of (508/24)/(u/12)?
2
Let g = 3507 + 451. What is the thousands digit of g?
3
Let j(v) = 9*v**3 + 2*v**2 - v. Let b = 43 + -49. Let d = 8 + b. What is the units digit of j(d)?
8
Let a = -2978 - -5167. Suppose -3*g + a = 281. What is the units digit of g?
6
Let c be (-10107)/(-39) - 2 - 4/26. Suppose -8*d - 1049 = -c. What is the units digit of 1*6/1*(-759)/d?
6
Let t(f) = 110*f**2 - 12*f - 2. Let d be t(2). Suppose -289 = -3*w + k + 992, w + 4*k - d = 0. What is the units digit of w?
6
Suppose -c - 8 = y - 9, -5*y = c - 13. Suppose 9*g - 5*g - 1407 = -y*a, g = 2*a + 338. What is the tens digit of g?
4
Let r(x) = -x - 38. Let p be r(-6). Let u = p - -49. Suppose -u = 5*q - 172. What is the tens digit of q?
3
Suppose 0 = 6*j + 801 - 7959. Suppose j - 242 = 3*v. What is the tens digit of v?
1
Let a = -101 - -47. Let p = a - -57. Suppose 5*u = x - 101, u - p*u = -4*x + 350. What is the tens digit of x?
8
Let v(b) = 88*b**2 - 50*b - 429. What is the tens digit of v(-9)?
4
Let m = 77 - 73. Suppose -55*x + 56*x - m*v = 732, -2*v = 3*x - 2168. What is the hundreds digit of x?
7
Suppose -j = 6*j - 105. Let o be 9/j - 298/5. Let u = 4 - o. What is the tens digit of u?
6
Suppose -627*m + 669*m = 22722. What is the units digit of m?
1
Let m(u) = u**3 - 11*u**2 + 6. Suppose -38 + 5 = -3*r. Let o be m(r). Suppose 2*y + 184 = o*y. What is the tens digit of y?
4
Let c(g) = -143*g - 1141. What is the hundreds digit of c(-34)?
7
Suppose 2*h = -3*h + 2*z - 37, 0 = 3*h - 2*z + 19. Let p(v) = -42*v**2 + 12*v + 45*v**2 + 10 + 10. What is the tens digit of p(h)?
5
Let r be (-1 - -1)/((-174)/(-29)). Suppose -5*p - 82 = -m, p - 5*p - 16 = r. What is the units digit of m?
2
Suppose -4*v + 8 = 0, 1160 + 66 = 4*k + 5*v. Suppose -440 = -5*z - 4*y, 7 = -2*y - 3. Suppose k = 4*i - z. What is the tens digit of i?
9
What is the units digit of 83673/2 - ((-7)/(-10) - (-37)/(-185))?
6
What is the tens digit of 5364 + (-28)/7 + 6?
6
Let c = -140 - -75. Let w = -61 - c. Suppose 4*p = w*x - 2*x - 80, 4*p = -4*x + 208. What is the tens digit of x?
4
Let u(r) be the third derivative of 5*r**4/4 + 21*r**3 + 5*r**2 + 3*r. What is the tens digit of u(14)?
4
Suppose -3*p + n + 109 = 0, -2*p + 3*n = 7*n - 82. Suppose 45 = 2*a - p. What is the tens digit of a?
4
Suppose 3*b = 4*k - 29, 5*k - 7*k - 2*b + 4 = 0. What is the tens digit of 7 + 480/k - -8?
1
Let u = 107 + -99. Suppose -u*d - 4*d + 5736 = 0. What is the tens digit of d?
7
Let i(t) = -2*t - 3. Let a(q) = -q - 2. Let s(g) = -13*a(g) + 6*i(g). Let b be s(-10). What is the tens digit of (b/(-5))/((-11)/(-660))?
2
Let m(z) = -z**3 + 13*z**2 + 28*z + 35. Let j be m(15). Suppose 0 = -j*v + 10, 5*g - g - 5*v = 494. What is the units digit of g?
6
Let q(m) = 2*m**2 - 17*m - 19. Let b be q(21). Let d = b + -465. What is the units digit of d?
1
Let t(u) = u**3 + 87*u**2 - 188*u - 262. What is the tens digit of t(-89)?
2
Suppose 1581 = -11*z + 336 - 449. Let o = -342 + 778. Let s = z + o. What is the tens digit of s?
8
Suppose 4*n + 13186 = 2*k + 3*n, n + 26374 = 4*k. What is the tens digit of k?
9
Suppose 0 = -2*x + 3*f + 13870, -4*f = 4*x - 7*f - 27746. What is the thousands digit of x?
6
Let h = 13629 + -8572. What is the hundreds digit of h?
0
Let w(i) = -2*i**3 - 3*i**2 + 2*i + 5. Let l(t) = -t**2 + 10*t - 12. Let o be l(9). What is the tens digit of w(o)?
2
Let r = 33 + -27. What is the tens digit of r*(-6)/12 + 199*3?
9
Suppose 3*c - 78710 = m + 63726, 2*m + 189916 = 4*c. What is the thousands digit of c?
7
Let s = -82 + 52. Let g = s - -39. Suppose -504 - 135 = -g*o. What is the units digit of o?
1
Suppose -2*w = -4*b + w - 11, -3*b + 4*w - 17 = 0. Suppose -16*c = 12*c - 644. Suppose 6*k = b + c. What is the units digit of k?
4
Let z = 68573 + -26824. What is the hundreds digit of z?
7
Let f = -1365 + 22311. What is the tens digit of f?
4
What is the tens digit of (-36 - -148)/(-4*(-2)/192)?
8
What is the tens digit of ((-11601)/36 + 2)/(3/(-32))?
1
Suppose 34990 = 99*i - 89*i. What is the thousands digit of i?
3
Let v = 419 + -416. What is the units digit of 185/10*(v + 7)?
5
Let x(b) = b**2 - 5*b + 6. Suppose 3*v - 8 + 30 = -q, -4*q - 25 = 3*v. What is the units digit of x(v)?
0
Let z = -12 + 12. Let m be (-54)/36*(0 + 2). What is the tens digit of (z + -18)*(m - -1)?
3
Suppose 719 - 37 = 2*d. Suppose 2*n = -c + 6*n + d, n - 664 = -2*c. What is the hundreds digit of c?
3
Let o be 8/(-10) + (-112)/40*-11. Let v(h) = -23*h. Let m be v(-3). What is the tens digit of 75/o*(m - (-1 + 2))?
7
Suppose -5*t = -3*h - 36445, 0 = 53*t - 53*t + 3*h. What is the thousands digit of t?
7
Suppose -12*f + 17*f - 4*r - 46546 = 0, 0 = 4*f - r - 37228. What is the hundreds digit of f?
3
Let n(r) = 9*r**3 - 23*r**2 + 26*r - 6. Let m(q) = -11*q**2 + 1 - 4 + 14*q**3 + 13*q - 10*q**3. Let u(x) = 5*m(x) - 2*n(x). What is the units digit of u(5)?
7
Suppose 108419 + 231765 = 52*h. What is the hundreds digit of h?
5
Let a(f) = 72035*f - 1392. What is the ten thousands digit of a(1)?
7
Suppose -2*c - 98 - 204 = -j, j + c = 317. Suppose 0 = -l - 4*k + 205, 116 + j = 2*l - k. What is the hundreds digit of l?
2
Suppose 0 = -4*f - n + 5*n - 3060, 0 = -4*f - 4*n - 3068. Let i = f + -1126. What is the tens digit of i/(-22) + (-4 - 0)?
8
Let t be (13 + -2)/(4 + -3). Suppose -2*y = -5*y - 4*m - 1, y + 4*m + t = 0. Suppose -3*p - o + 84 = 2*o, -4*p + 148 = -y*o. What is the units digit of p?
2
Suppose 2*j + 2*c = -2*c + 40, -5*c = 0. Let w be (-48)/(-20) - (-12)/j. Suppose 2*r - 5*d - | {
"pile_set_name": "DM Mathematics"
} |
Let v = 4.5 - 4. Let p be 0 - 1/1 - 2. Which is the closest to t? (a) v (b) p (c) 2
a
Let l = -1.062 + 0.062. What is the closest to l in -2, -3, 0.1?
-2
Let k = 19 + -19.1. Let t = 1 - 3. Let s = t - 3. What is the closest to k in 0.4, s, 1/8?
1/8
Let v = -9.5 - -10. What is the closest to 2/3 in v, -0.5, 2/7?
v
Let k = 5 + -16/3. Let f = 2 - 1.8. Let y = 5 - 8. Which is the nearest to f? (a) k (b) y (c) -0.5
a
Let o(p) = -p**3 + 3*p**2 - 3*p + 3. Let s be o(2). Suppose 4*m + 20 = -2*h, -4*h - s = 4*m + 23. What is the closest to 0 in -1, m, 2/13?
2/13
Let x be (4/15)/(18/27). What is the nearest to 1/2 in 2/3, 4, x?
x
Let r = 4/383 + 21428/1915. Let k = 402/35 - r. What is the nearest to -0.1 in k, 2, -2/7?
-2/7
Let f be (-2)/(1*4/(-8)). Let i = -0.8 + 0.5. Let z = -752/4257 + -2/387. Which is the nearest to 0? (a) i (b) f (c) z
c
Let x = 9.16 - 0.16. Let v = x - 9.2. What is the nearest to v in 0.2, 0.3, -4?
0.2
Let k = 3.8 + -0.8. Let q = 0.13 - 0.03. Which is the closest to q? (a) -3 (b) 0.1 (c) k
b
Let k = -9.87 - 0.13. Let y = k - -9.5. What is the closest to 2/11 in 1/4, y, 0.3?
1/4
Let j = 4.8 - 0.8. Let r = -4.1 + j. Which is the closest to r? (a) 5 (b) -2 (c) 0
c
Let w(l) = -6*l + 1. Let s be w(1). Let g(z) be the third derivative of z**6/120 + z**5/30 - 2*z**2. Let b be g(-1). What is the closest to b in 2/7, -4, s?
2/7
Let p = -29 - -32.4. Let w = p + -3. Let d = 6 + -9. Which is the nearest to 0.1? (a) d (b) w (c) -5
b
Let k = 0.14 + 0.06. Which is the nearest to 1? (a) k (b) 4 (c) 0.5
c
Let h = -4 + 3. Let q = 125/3 - 41. What is the nearest to h in -3, q, 0.5?
0.5
Let i = 807 - 810.91. Let w = i - 0.09. Which is the nearest to -0.06? (a) w (b) 4 (c) -2/7
c
Let o(i) = -2*i + 7. Let u be o(5). Let n be 2/6*(1 - -2). Let p = n + 0. Which is the nearest to 1/2? (a) u (b) -0.2 (c) p
c
Let b = -1.8 - 3.2. Let s = -1.4 - -1.3. Let p = 0.05 - 0.45. What is the nearest to s in 1, b, p?
p
Let p be 26/(-42) - 1/(-3). What is the nearest to p in 0, -0.2, 3/8?
-0.2
Let l = -18.1 + 18. Which is the closest to l? (a) -0.3 (b) 3 (c) -0.4
a
Let k = -4.7 + 5. Let f = 6 - 4. What is the nearest to -1 in f, k, -2?
-2
Let s be 549/4 - (1 + 1). Let o = 136 - s. What is the closest to 0.1 in 2, 4, o?
o
Suppose 4*i + 3 = -17. Let k(u) = -u**2 - 4*u + 6. Let j be k(i). What is the closest to -1 in j, 3/5, 5?
3/5
Let s = -23 + 24. What is the closest to -1 in s, 0.01, -2/5?
-2/5
Let k = -2459/81 + 91/3. Let q = k - -20/81. What is the nearest to 1 in -3, q, 5/2?
q
Let k = -2 - -1. Let q be k + ((-30)/(-13))/2. Let j be 10/(-50) + 4/(-10)*1. Which is the closest to -1/4? (a) j (b) q (c) 4
a
Let i = 24 - 24.1. Let h = 0.3 + 0.1. Which is the nearest to i? (a) -0.3 (b) h (c) -3/7
a
Let p = 1 + -3. Let o be p*(-3 + 1)*-1. Let s = 2 + -1.6. What is the closest to -0.1 in o, 5, s?
s
Let f be 1/30 - (-3)/18. Let g = -25 + 21. Which is the nearest to 0.1? (a) 2 (b) f (c) g
b
Let p(i) = -i**3 - 2*i**2 + 4*i + 3. Let d be p(-2). Let s = 1 - 1. Let f = 2 - 2.3. Which is the closest to s? (a) -1 (b) f (c) d
b
Let f = -298/5 + 60. What is the nearest to f in -2, -3, -0.5?
-0.5
Let f = -55 - -55.2. What is the nearest to 1/4 in 0.4, f, 2?
f
Let v = -0.07 + -0.43. Let n(d) = -d**3 + 5*d**2 - d + 4. Let b be n(5). Let x = 1.21 + -0.21. What is the nearest to b in x, 3, v?
v
Suppose 29 = 13*m + 16. Suppose -u - 2*r = -1, -4 = -u + r - 0. Suppose 3*l - u = 6*l. Which is the closest to m? (a) 2 (b) l (c) -5
a
Let l = -6 + -17. Let j = l + 22. Let g be (-1 - -1) + (-2)/(-7). Which is the nearest to j? (a) 1/4 (b) -2 (c) g
b
Let q be ((-2)/(-1))/(6 + -8). Let r = -401/8 - -50. Which is the nearest to q? (a) -0.3 (b) r (c) -2/3
c
Suppose 5 = -4*v - 2*t + 17, 2*v = -3*t + 14. Let q be v/(-7) - (-9)/21. What is the closest to q in -0.4, -4, -2/13?
-2/13
Let r = -1.97 + -0.03. Let l = 1 + r. Let q = 4.36 + -0.36. Which is the closest to 1/3? (a) l (b) 1 (c) q
b
Let f = 15 + -13. Which is the nearest to -0.2? (a) -1 (b) 0 (c) f
b
Let x = 0.1 + -0.1. Let f(q) = 3*q - 1. Let h be f(1). Suppose 5 = h*r + 5*v, -3*v + 2*v + 1 = 0. Which is the closest to r? (a) x (b) 3 (c) 1/3
a
Let f = -2 + 1.5. Let y be (-18)/(-12) + (-31)/18. Which is the closest to 2/7? (a) -4 (b) y (c) f
b
Let w be (-2)/(-10) - 12*2/45. Let p = 0 + 0.2. Let z = 0 + -1. Which is the closest to p? (a) w (b) -2 (c) z
a
Let l = -14 + 15. Which is the nearest to -2/3? (a) -3 (b) 3 (c) l
c
Suppose 0*r + 5*r = 20. Let p = r + 1. What is the closest to -0.1 in 2, 4/3, p?
4/3
Let n = -2 + 3. Let t = 2.2 + 0.8. Which is the closest to n? (a) -2 (b) t (c) 0.5
c
Let i = 0.2 + 0.1. Let x = -1.3 - -0.3. Let o = 2 - 4. Which is the nearest to x? (a) o (b) 0.2 (c) i
a
Let d = -4 - -8. Suppose 4*s = -v + 4, -15 = -5*s - d*v + 1. Which is the nearest to 2? (a) s (b) 2/9 (c) -2
b
Let v = -55.5 + 56. Suppose 3*q - 17 = -2. Which is the nearest to 1? (a) q (b) -1.2 (c) v
c
Let v = 0.017 - 2.317. Let g = v - -2. Let u be (1 - 2)/((-1)/3). Which is the closest to 1/2? (a) g (b) u (c) -2/7
c
Let k = -3/280 + -1093/2520. What is the nearest to 3 in -3, 1, k?
1
Let v = 1 - 1. Let p = -24 + 24.1. Which is the closest to -1? (a) 0.3 (b) v (c) p
b
Let f(k) = k**2. Let n be f(-2). Let u = -1.4 + 0.4. Which is the closest to u? (a) -4 (b) 2/23 (c) n
b
Let i be ((-1)/5)/((-4)/8). What is the nearest to i in -2, 3, -3?
-2
Let b = 9 + -8.6. Let u = 2 + -5. What is the closest to -0.1 in u, 2/17, b?
2/17
Let j = 3 - 8. Which is the closest to 0.2? (a) j (b) -0.1 (c) -0.2
b
Let t = 0.6 + 0.4. Let q = t + -2. Let h = 3 + -4. Which is the closest to q? (a) 1/4 (b) 3/4 (c) h
c
Let h be (2/(-1) + 3)/(1/(-6)). Which is the nearest to -2? (a) 0 (b) h (c) -5
a
Let d = 7.6 + 0.4. Let z = d - 8.2. Let y = 9 + -5. Which is the closest to -1? (a) z (b) -6/11 (c) y
b
Let o = -7 - -8. Let u = 10 - 8. Let n = u + o. Which is the closest to -0.1? (a) -1 (b) n (c) -0.3
c
Let v = 1.6 + 4.4. Let r = -6.2 + v. What is the nearest to -0.1 in r, -4, 1/3?
r
Let u = -44 + 1673/38. Let r = u - 81/190. Which is the closest to 2? (a) 0 (b) r (c) 5
a
Suppose 0 = -3*l - 5*t - 3 - 2, 0 = 3*t + 3. Which is the nearest to -2? (a) l (b) -2 (c) 0.01
b
Let v = 1.4 + -1.05. Let o = 0.05 - v. Let l = 2 - 3. Which is the nearest to l? (a) o (b) 0.2 (c) 0.4
a
Let i(n) = n**2 + 9*n - 3. Let h be i(-9). Which is the nearest to 0.5? (a) h (b) -0.5 (c) 5/4
c
Let l be (2/10)/(12/(-20)). What is the nearest to -0.1 in l, -1/6, -0.4?
-1/6
Let h = 3.2 - 3. Let a = -14 + 17. What is the nearest to h in a, -1, -0.3?
-0.3
Let s = 0.2 + -0.1. Let j = -3 - -3.1. What is the nearest to s in j, -0.1, 2?
j
Let y = -0.1 + 0.6. Which is the closest to -1? (a) y (b) 4 (c) 1/10
c
Let r(s) = s**2 + s - 1. Let h be r(0). Let a = 7 + -2. What is the nearest to h in 0.5, a, -2/11?
-2/11
Let w be 9/72*4/(-6). Let n be (-3)/(63*(-1)/2). Which is the nearest to -1? (a) 1/9 (b) n (c) w
c
Suppose 4*o + h = -4, -4*h + 12 = o + o. Let j be ((-2)/(-10))/(o + 1). Let k = -0.3 - -1.3. Which is the nearest to -1? (a) j (b) k (c) -3/7
c
Let c(r) = -r**3 + 3*r**2 - 2*r + 4. Let m be c(3). Let h be (4/2 + -1)*m. What is the nearest to -2 in 0.2, h, -1/2?
h
Let z be (6/(-9))/(1 - -1). Let g = -4.2 - -3. Let u = -0.7 - g. Which is the nearest to z? (a) 5 (b) u (c) 4
b
Let t be (22 + -8)/(1/9). Let q be (-2)/(-9) + (-7)/t. Let y = 1 - 2. Which is the nearest to y? (a) q (b) 3/4 (c) -4
a
Suppose 16 = -3*v - j, -5*v + 2*v - 12 = -3*j. Let z = -17 - -36. Let d be z/7 - (3 - 0). What is the closest to -3/5 in v, d, -0.2?
d
Suppose 0 = 7*u - 2*u - 5, p = -2*u + 4. Let n be (p/3)/(15/9). What is the closest to n in 4, 0, 3?
0
Let l be (1/(-3)*0)/(-2). Let v = -0.46 + 2.56. Let g = -2 + v. Which is the nearest to g? (a) -3/5 (b) 0.3 (c) l
c
Suppose -2*d = o - 2, -4*d + 3*d - 2*o + 7 = 0. Let f = d - -6. Let u = -13 + 9. Which is the closest to -1/4? (a) f (b) -1/5 (c) u
b
Suppose -3*f - 20 = 4*o - 0*o, -5*o = f + 14. Which is the closest to o? (a) -0.5 (b) 3 (c) -2/11
a
Let o = 79 - 81. Which is the nearest to o? (a) 4/3 (b) -1/6 (c) 0
b
Let w = -10 - -9.9. Which is the nearest to -2? | {
"pile_set_name": "DM Mathematics"
} |
be x(m). Solve 3*p = -5*f - 25, f = -p + g*p + 8 for p.
-5
Let a be (-10)/(-4) + (-7)/(-14). Suppose -3*t = 4*x - 32, -3 = a*t - 2*x - x. Solve -4*i + 34 + 1 = 3*w, 3*w = t*i - 5 for w.
5
Suppose 5 = 6*j - 5*j. Let w be ((-4)/(-10))/(4/40). Suppose -p + l + 2 = 0, p - w*l + 0*l - 2 = 0. Solve -p*k = -3*m - 22, -k - j*m = -0*k + 15 for k.
5
Suppose -21*i = -22 - 20. Solve 0*u - 2*u = l + 10, -i*l = -5*u - 7 for u.
-3
Let q = -5 + 3. Let t be (32/12)/((q/(-3))/1). Solve -h - t*i = i, 5 = -5*i for h.
5
Suppose -14 = -3*g + 10. Let c = g + -4. Suppose -j = c - 19. Solve 5*q + 6 = 3*u, 0 = -5*u + 2*u - 2*q - j for u.
-3
Suppose -2 = -w - 2*d, 3*w - 7*d + 2*d = 50. Suppose w*k = 6*k + 80. Solve 4*m = -k, 37 = 2*t - 5*m + 8 for t.
2
Suppose -v + 2*d = 20, 70 + 24 = -5*v + 4*d. Let j = -17 - v. Solve 2*k = -k - g - 2, -4*k - 3*g - j = 0 for k.
-1
Let p(q) = 2*q - 24. Let h be p(14). Suppose -4*o = -2*k + 20, h*k + 4*o = 2*o. Solve k*l + v = -v - 2, -5*l - 13 = v for l.
-3
Let j be ((-1)/(-3)*0/(-6))/1. Solve 3*o = q - 12, 4*q - 3 = -j*o + 3*o for o.
-5
Suppose g + 3*r = 20, -2*g = -5*r - 4 + 8. Solve -2*w - g = -a - 6*w, -w = 5*a + 17 for a.
-4
Let h be ((-19)/((-95)/18))/3*15. Let n be -1 + 1 + (-1 - 0). Let u be 6 + n + -1 + 1. Solve -2*m - 5*g = h, 2*m - u*g = 6*m + 16 for m.
1
Suppose -17 - 88 = -5*k. Let a = k - 17. Solve 0 = -a*x - 3*m + 23, x + 3*m + 22 = 6*x for x.
5
Let d be 9 - (6/(-6) + 6). Solve 1 = v + 5*f - 2, 4*v + 4*f + d = 0 for v.
-2
Let g be (1 - 2)/(7/(-21)). Let t be (g + 3 + -5)*0. Let n be 2 + (6/3)/(-1). Solve n = -t*r + 2*r - 4, 3*r = a + 8 for a.
-2
Let i = -8 + 11. Suppose -5*n - 2*j + 6 = 0, 0 = -5*n + 4*n - 4*j - 6. Suppose -n*a = -1 - 5. Solve -2*u - i*u = -a*w - 14, 3*w = -4*u - 5 for w.
-3
Suppose 12 = -m + 5*m, -3 = 5*c - m. Solve u + 0*u + 4*w - 20 = c, -w + 5 = 3*u for u.
0
Let w = 9 + -5. Suppose -2*u - w = 4. Let f be (u + 7)*(-2)/(-3). Solve f*c = 3*g + c - 7, -11 = g + 3*c for g.
1
Let p be 0 - ((-2)/(-9) - 55/45). Let h be (1 - 0)/(1/p). Solve -6 + 2 = -3*s - c, -h = 3*s - 4*c for s.
1
Suppose -3*w - 27 = -33. Solve -l + 3 = 5, l = -w*m - 10 for m.
-4
Suppose 0 = -7*s + 3*s. Suppose 0 = -f - 0 + 6, -38 = -4*h - 3*f. Let o = 33 - 19. Solve 4*p = 5*u + 15, -3*u - 4*p + h - o = s for u.
-3
Let n = 2177 + -2166. Solve -4 = 2*d, 4*s - 5*d - n - 3 = 0 for s.
1
Suppose 32 = -4*q - 4*p, -q - 4*p - 8 = p. Let y = 10 + q. Suppose o + y*o = 0. Solve -2*b - b - 4*x + 13 = o, -4*x = -2*b - 18 for b.
-1
Let o = -5 + 10. Suppose 2*l + 0*k + 5*k + 13 = 0, o*k + 15 = 0. Let z be l/(-3)*(4 + -7). Solve 2*j + 3*d = z, -4*j + 0*d = -2*d - 10 for j.
2
Let q(v) = -v**3 - 2*v**2 + 7*v + 8. Let t be q(-4). Solve -y + p - t = 2*y, 9 = -3*p for y.
-5
Let d = 35 + -48. Let z = -8 - d. Solve -z*j - 3*o + 23 - 3 = 0, 2*j + 4*o = 8 for j.
4
Suppose -5*k + 39 + 36 = 0. Suppose 0 = 5*t - 0*t - k. Solve 0 = 5*u - 0*g - t*g - 25, 0 = 3*g for u.
5
Let u be ((-8)/(-16)*-30)/(1 + -2). Solve -3*o - 15 = 2*b - 0*b, 3*o = -b - u for o.
-5
Suppose p = 6*p + 35. Let q = 10 + p. Suppose -7*z + 8*z = 4. Solve q*o - 12 = 5*s - 2*s, -9 = -o - z*s for o.
5
Suppose -13*m + 35*m = 21*m. Solve -4*k - 4 = 0, 0 = -3*q + k - m*k - 5 for q.
-2
Let q = 45 + -4. Suppose -i + 45 = q. Solve -3*l - 14 = 5*h, -2*l + h - i = 3*h for l.
2
Let v(h) = h**3 - 4*h**2 - 4*h - 6. Let p be v(5). Let i be 2 + (-2 - p)/(1/(-2)). Solve b = -i*j - 10, -4*b - b = 4*j + 2 for j.
-3
Suppose 3*i - 5*i = -2*n - 6, -n = 2*i - 9. Suppose i*a + 4*a = 2*a. Solve 0 = 3*j - a*j + 12, 7 = -p - 3*j for p.
5
Let o(i) = i**2 + 3*i - 19. Let c be o(-6). Let a be 4 - 0 - ((-4)/c - 2). Suppose -5*q - 2 + 12 = 0. Solve a*j + 16 = -j + h, -q*h = -3*j - 17 for j.
-5
Let z be 10/(-15)*(-5 + 2). Solve -4*t = z*c - 8, c - 3*t = t - 14 for c.
-2
Let r(t) = 4*t - 5. Suppose 13 = d + 4*y, 3*y - 22 = -4*d + 2*y. Let q be r(d). Solve 3*h + 9 = 3*c, -c - 5*h = 4*c - q for c.
3
Let s(y) = -2*y**3 + 82*y**2 + y - 36. Let i be s(41). Solve i*n - 2*n + 3*g = -9, n - 5 = -5*g for n.
-5
Suppose -d + 2*q = -6*d - 254, -3*q - 256 = 5*d. Let s = d - -55. Solve -4*o + s = -5*n, o + 2*o + 4*n = -4 for o.
0
Let n be -6*(9/6 - 2). Let g be ((-14)/3)/((-2)/3). Suppose 4*s = 8*s - 12. Solve -n*a = f + g, s = a + f - 2*f for a.
-1
Let g(j) = 8*j + 19. Let i be g(-9). Let t = -44 - i. Solve -2*w + t = w + 5*k, 3*w + 4*k = 6 for w.
-2
Let n = -6 - -18. Let r = n + -15. Let b be 6/r + (8 - 6). Solve -4*j - 3*m + 14 = b, -5*m - 4 = -3*m for j.
5
Let f = 10 - 16. Let x = f - -6. Suppose -4*d + 6 = -3*w, 1 = -2*d + 5*w - 3. Solve -d*b = -2*j + 14, 0 = -x*b - b - 4 for j.
1
Let a(q) = -2*q**2 + 14*q + 12. Let o be a(7). Suppose 3*z - 15 = -h, 0 = -o*h + 9*h - 3*z + 15. Solve -4*l + 12 = h, -3*c + 4*l - 27 = 2*c for c.
-3
Suppose -4*q + 21 = w, -4*q = -5*w + 3 - 18. Solve 2*p + 19 = -3*i, -q*p + 2*i - i = 5 for p.
-2
Let m(r) = r**3 + 15*r**2 - 15*r + 19. Let f be m(-16). Solve f*o = 4*d - o - 12, 0 = -d - o + 3 for d.
3
Suppose 20*x - 42 = 18. Solve 12 = x*y - 2*g - 0, 11 = -2*y - 5*g for y.
2
Let c = 10 + -5. Let p be -9 + 16 - (1 + (4 - 2)). Solve 0 = -t - s, -p - 6 = -c*t + 5*s for t.
1
Let s = -47 - -77. Let h be s/5 - (4 - 3). Solve 2*j + 2 + 1 = 3*k, -h*k = 2*j - 5 for k.
1
Suppose w - 13 = 3*g, -4*w + 3*g = -w - 27. Solve -4*m + 3 = -o, -2*m - 2*o + w = 3*o for m.
1
Suppose -5*h + 36 = -4*w, -3*h - 3*w - 16 = -4*h. Solve -5*c = -2*n + 15, h*c + 6*n = 4*n + 6 for c.
-1
Suppose -164 + 182 = 6*u. Solve 5*w = u*j, 4*j = -w - j - 28 for w.
-3
Suppose 25*l = 24*l. Solve l = 3*a - 4*s + 13, 0 = -4*a + 5*s - s - 16 for a.
-3
Let b(y) = -y - 18. Let o(u) = u + 19. Let f(v) = -3*b(v) - 2*o(v). Let q be f(-10). Solve 2*t + 2*s + q = 0, -3*t + 4*t + 4*s = -18 for t.
2
Suppose 3*w - 43 + 18 = -2*s, 3*s - 5 = 2*w. Suppose 3*v + 7*c - 2*c = 0, 19 = w*v + 2*c. Solve -4*t + 29 = -3*q, -v*q = -5*t - 0*t + 40 for q.
-3
Let u = -81 + 89. Solve -u = 4*x, -5 = 4*i + x + 13 for i.
-4
Suppose -10 = -3*f - 2*f. Let s be 2 + 0 - (2 - (6 + -4)). Solve s*y = -5*q + 14, 4*q + f*y + y - 7 = 0 for q.
4
Let x = -85 + 90. Suppose 3*o + x*o = 56. Solve o = -2*k - 3*j, -k + 2*j + 2*j = -2 for k.
-2
Let g = 85 + -149. Let h = -60 - g. Solve -5*l = -2*l + h*w + 6, 0 = -2*l - 2*w - 2 for l.
2
Let z be (((-20)/(-6))/(-2))/((-10)/30). Let u = z - 2. Solve 2*f = -0*f - 4*p + 28, -u*f + 37 = 5*p for f.
4
Suppose f + 240 = -2*f. Let j be f/(-6)*6/5. Let b(y) = y**3 - 14*y**2 + 46*y + 7. Let k be b(9). Solve -w + 5*w = s + j, 4*s - k = -4*w for w.
4
Let d(s) be the second derivative of -s**3/3 + 13*s**2 + 29*s. Let l be d(13). Solve 3*j - 3*c = 21, 4*j + 4*c + 9 + 3 = l for j.
2
Let o(h) = h**3 + 5*h**2 + 5*h + 73. Let a be o(-6). Solve -a = 4*i - d + 16, 4 = i + 3*d for i.
-5
Let y(g) = g**2 + 5. Let q be y(0). Let z = 85 - 83. Let x be 25/(z - -3)*(-4)/(-5). Solve 2 = -4*t + h, 0 = -x*t - 2*h + q*h + 2 for t.
-1
Suppose 0 = 12*j - 8*j - 4. Let f be 10*j*6/12. Solve b + 5*t - 2 = -14, 0 = -f*b - 5*t - 20 for b.
-2
Suppose 2*g = 46 - 6. Let t(j) = -6*j + 30. Let c be t(5). Suppose 2*r + 0*k = 2*k + g, -5*r - 5*k = c. Solve p + 2 = 3, 0 = r*q - p - 4 for q.
1
Suppose -3*x + 18 = 4*s, -6*s + 8 = -2*x - 2*s. Let g = -1097 - -1102. Solve 5*b = -g*w - 20, w = b + x - 6 for w.
-4
Suppose -3*u + 40 = -u. Suppose 23*o - 3*n - 20 = 18*o, -5*n = -4*o + 16. Solve -i + 9 = o*h - 8, u = 5*h for i.
1
Suppose -4*l + 244 = -0*l. Let s = l + -40. Let t = -17 + s. Solve 4*p - 20 = -t*r, 2*r + p = 4*r + 5 for r.
0
Suppose -51*k - 231 = -58*k. Suppose 5*f - k = -23. Solve -z - 4 = 3*z, -2*z = f*s for s.
1
Let j be 126/(-12)*16/(-3). Suppose -50 = 2*z - j. Solve 2*b + z*s = 11, 2*s = 7*b - 3*b + 18 for b.
-2
Let y be (-5)/(-1 - 4/(-3)). Let q be 8/10*75/(-2). Let o = y - q. Solve c + 5 = 0, 0*g = 5*g - 4*c - o for g.
-1
Let h = 19 - 22. Let o(x) = -3*x - 3. Let t be o(h). Suppose t*k - 11 = 5*k. Solve 2*c + 3 = 2*g - 7, g - 3*c - k = 0 for g.
2
Let y = 932 + -912. Solve 3*z = b + 17, -y = 12*b - 8*b for z.
4
Let p(q) = 1. Let m(i) = -3*i - 18. Let o(y) = m(y) + 4*p(y). Let n be o(-6). Let g = 0 + n. Solve -g*a = 0, -4*a = c - 2 - 0 for c.
2
Suppose 5*j - 16 = -3*m, 2*m = -34 + 28. Solve j*x + 3*v - 5 = -20, 0 = 5*v for x.
-3
Suppose 0 = -4*u - 5*u + 27. Suppose 5*p + u*c + 5 = 0, 2*p + | {
"pile_set_name": "DM Mathematics"
} |
j + 12573 wrt j?
-77103
What is the second derivative of 3*k**2*y**2 - k**2*y + 14*k**2 + 1382*k*y**2 - k + 12*y**2 + 154*y + 7 wrt y?
6*k**2 + 2764*k + 24
Find the third derivative of -2410485*s**6 - 35*s**2 - 30*s + 135 wrt s.
-289258200*s**3
What is the second derivative of 20902*d**2*f**2 + 9*d**2*f + d**2 - 14*d*f**2 + 2*d*f + 806*d + 2*f wrt f?
41804*d**2 - 28*d
What is the third derivative of -19*o**6 + 1050*o**3 - 18649*o**2 wrt o?
-2280*o**3 + 6300
What is the first derivative of -1112134*o - 605631?
-1112134
What is the third derivative of l*r*s**3 + l*r*s**2 - 2*l*r - l*s**3 - 668*l - 2*r*s + 99*s**3 - 3*s wrt s?
6*l*r - 6*l + 594
What is the second derivative of -3*n*w**5 + 70661*n*w**3 + 10*n*w - 6*n + w - 269 wrt w?
-60*n*w**3 + 423966*n*w
What is the first derivative of 8*d**2*n - 7362*d**2*q - 88*d**2 + 9*d*n*q + 2*d*n + d + 5 wrt q?
-7362*d**2 + 9*d*n
What is the third derivative of 6271*c**2*f**2*j**3 - 113*c**2*f**2 + c**2*f*j**2 - c*f*j + 3*c - 46*f**3*j**3 - 4*f**3*j + 2*f**2*j wrt j?
37626*c**2*f**2 - 276*f**3
What is the second derivative of 24*x**3 - 14406*x**2 - 1193717*x?
144*x - 28812
Find the second derivative of -61398*m**2 - 8075*m wrt m.
-122796
Find the first derivative of -63*y**3 - 24*y**2 + 205*y + 927513.
-189*y**2 - 48*y + 205
What is the derivative of b**2*m + b**2*t*y + 21*b*t*y + 4*b*t + 13136*m**2*t*y + 9*m**2*y - 7*t - 39*y wrt m?
b**2 + 26272*m*t*y + 18*m*y
Find the third derivative of -1580188*t**4 + 16345*t**2 + 15 wrt t.
-37924512*t
What is the second derivative of -5094*a**4 - 49*a**2 - 913678*a wrt a?
-61128*a**2 - 98
What is the third derivative of -121*i**3*m**3 + i**3*m**2 + i**3*m + 1772*i**2*m**3 + 5*i**2 wrt i?
-726*m**3 + 6*m**2 + 6*m
What is the second derivative of -2*d*f*j**2 - 2*d*f*j - 97*d*f + 1853*d*j**2 + 181*d*j - 64*f*j**2 + j**2 wrt j?
-4*d*f + 3706*d - 128*f + 2
Find the third derivative of -b**3*s**2 - 10574*b**3*s - 2*b**3 + b**2*s**2 + 7*b**2 - 1508*b*s wrt b.
-6*s**2 - 63444*s - 12
Find the second derivative of 37257*x**2 - 173*x - 110.
74514
Differentiate -2*k*p**4 + 36*k*p**2 - 17445*k + 48*p**3 with respect to p.
-8*k*p**3 + 72*k*p + 144*p**2
Find the third derivative of -9*b*q**4 - 12*b*q**3 - b - 2*q**4 + 218*q**3 - q**2 - 30*q + 216 wrt q.
-216*b*q - 72*b - 48*q + 1308
What is the third derivative of -606838*q**5 - q**2 - 11981?
-36410280*q**2
What is the first derivative of 17954*u + 180138 wrt u?
17954
What is the third derivative of 25808*d**2*y**3 + 550*d**2*y + 15*y**2 wrt y?
154848*d**2
Find the second derivative of 8451*d**3 + 25979*d wrt d.
50706*d
Differentiate 17*o**2*s**2 - 6833*o**2*s + 117*s**2 + 3*s - 683 wrt o.
34*o*s**2 - 13666*o*s
What is the first derivative of 5607*g**3*w - 31161*g**3 wrt w?
5607*g**3
Differentiate -1774*g - 45264.
-1774
What is the first derivative of 2*g**4 - 14*g**3 - 65*g*y - 3*g + 131*y + 90 wrt g?
8*g**3 - 42*g**2 - 65*y - 3
What is the third derivative of -1175149*j**4 + 1051715*j**2 wrt j?
-28203576*j
Differentiate -2*f**3*p**2 + 46*f**3*x + f*p**2 - 4*f*p*x - 4*f + 4*p**2*x - 11*p + 14*x wrt x.
46*f**3 - 4*f*p + 4*p**2 + 14
What is the second derivative of 1981*z**3 - 73*z**2 - 816552*z wrt z?
11886*z - 146
Find the first derivative of v**3 + 4930*v**2 + 17978.
3*v**2 + 9860*v
What is the derivative of 92*u**3 - 2*u**2 - 69*u + 261188?
276*u**2 - 4*u - 69
Find the second derivative of 196938*p**3*t**3 - 37999*p**3*t - 3*p*t wrt t.
1181628*p**3*t
What is the second derivative of -2*w**4*z - 216767*w**2*z + 43*w*z - 24212*z wrt w?
-24*w**2*z - 433534*z
What is the second derivative of 1323948*z**5 + 152114*z?
26478960*z**3
Find the second derivative of 2*o**3 + 51486*o**2 + 237708*o.
12*o + 102972
What is the third derivative of 38442*x**5 - 4484*x**2 + 3*x + 2 wrt x?
2306520*x**2
Differentiate 23*z**3 + 1244*z**2 - 567855 with respect to z.
69*z**2 + 2488*z
What is the first derivative of 3*n**3 - 178*n**2 - 7*n + 246615?
9*n**2 - 356*n - 7
Find the second derivative of -40593*r**3 - 2*r**2 + 6078*r.
-243558*r - 4
Find the third derivative of -3280728*k**3 + 3529056*k**2 wrt k.
-19684368
Find the second derivative of -6856*i**2*m**3 - 3*i**2*m**2 + 2*i**2*m - 3*i*m**3 - 95*i*m**2 + i*m + 3*i - 9*m**3 wrt i.
-13712*m**3 - 6*m**2 + 4*m
Find the third derivative of -8*a**3*c**3 - a**3*c - 3*a**3 - 45245*a**2*c**3 + 402516*a**2*c + c**2 wrt c.
-48*a**3 - 271470*a**2
What is the second derivative of r**3 - 222578*r**2 + 1814*r + 116 wrt r?
6*r - 445156
Find the second derivative of -170*s**3 - 310*s**2 + 1303634*s.
-1020*s - 620
What is the third derivative of 145646*q**4 + 123657*q**2 wrt q?
3495504*q
What is the first derivative of 5*p*w - 104*p - w**4 - 13911*w + 791 wrt w?
5*p - 4*w**3 - 13911
What is the third derivative of 439923*z**3 + 302908*z**2?
2639538
What is the derivative of -18*p*z**4 + 1559162*p + 52711*z**4 wrt z?
-72*p*z**3 + 210844*z**3
What is the first derivative of -166*h**4 + 7*h**3 + h**2 - 23910?
-664*h**3 + 21*h**2 + 2*h
What is the third derivative of 838*s**6 - s**5 + 26*s**4 - s**2 + 9476*s - 2?
100560*s**3 - 60*s**2 + 624*s
What is the derivative of -2*l**3 - 52*l**2 + 57*l + 110910?
-6*l**2 - 104*l + 57
Differentiate 551*p + 403425.
551
Find the first derivative of -9*l*s**2 + 86813*l + 4214*s wrt s.
-18*l*s + 4214
Find the third derivative of 5*a*m**4*t - 40586*a*m**3 + a*t - 32*a - 8*m**2 - 27*t wrt m.
120*a*m*t - 243516*a
What is the first derivative of -618690*f**2 - 82558?
-1237380*f
What is the first derivative of 105047*h**2 + 148573 wrt h?
210094*h
Find the first derivative of 1898601*u**2 + 821117.
3797202*u
What is the derivative of -i**3 + 85266*i + 70711?
-3*i**2 + 85266
What is the derivative of -a**2*c**2*p - 44962*a**2*p - a*c**2 + 363393*c**2*p wrt a?
-2*a*c**2*p - 89924*a*p - c**2
What is the third derivative of 105*r**6 - 170*r**4 + 4896*r**2 - 2*r - 2 wrt r?
12600*r**3 - 4080*r
What is the derivative of 2*q**4*y + 53589*q**4 - 16079*y wrt q?
8*q**3*y + 214356*q**3
Differentiate 4*a**3 - 14*a**2 + 134*a*m**3 + a*m + 19054*m**3 with respect to a.
12*a**2 - 28*a + 134*m**3 + m
What is the third derivative of -17*s**4 - 1805*s**3 + 61968*s**2 wrt s?
-408*s - 10830
What is the second derivative of -366282*d**2 + 150164*d?
-732564
Find the second derivative of 9*z**4 - 9418*z**3 + 191128*z.
108*z**2 - 56508*z
What is the derivative of -i**4 - 58*i**3 + 3*i**2 + 3*i + 964132?
-4*i**3 - 174*i**2 + 6*i + 3
What is the first derivative of -117*n**4 + 19*n**2*p**3 - 22915*p**3 wrt n?
-468*n**3 + 38*n*p**3
Find the second derivative of -346732*c**4*s**3 - c**2*s**3 - 2*c + 4*s**3 + 3*s**2 - 43*s + 53 wrt c.
-4160784*c**2*s**3 - 2*s**3
What is the second derivative of 1618*g**4 - 2*g**3 - 5*g**2*j**2 - 103*g*j**2 - 4*g*j + 5*g + 8*j**2 wrt g?
19416*g**2 - 12*g - 10*j**2
Find the second derivative of -203879*y**2 + y - 263957 wrt y.
-407758
Differentiate -356811*d**3 - 108111 wrt d.
-1070433*d**2
What is the derivative of -366504*p**4 + 1163232?
-1466016*p**3
Find the first derivative of 2*b*c**3 - 7624*b*c - 6640*b + 6*c**3 + 35 wrt c.
6*b*c**2 - 7624*b + 18*c**2
Find the first derivative of 2242704*y**2 - 6744485 wrt y.
4485408*y
What is the third derivative of -3377811*y**5 + 705989*y**2 wrt y?
-202668660*y**2
What is the second derivative of 72822*c**4 - 1431*c - 2 wrt c?
873864*c**2
What is the second derivative of 524*g**2*l**2 - 41*g**2*l*o**3 - 2*g**2 - 24*g*l**2*o**3 - 9*g*o**3 - 5*l wrt l?
1048*g**2 - 48*g*o**3
What is the second derivative of -16*l**4 + 244*l**3 - 3847*l + 1 wrt l?
-192*l**2 + 1464*l
Find the second derivative of 2*a*j**3 + 14978*a*j**2 - 310660*a*j - j**3 + j wrt j.
12*a*j + 29956*a - 6*j
Find the third derivative of 45*i*s**4 - 981*i*s**2 - 10*i*s + 609*s**5 + s**2 + s wrt s.
1080*i*s + 36540*s**2
Find the second derivative of -5*a**3*g - 1029*a**2*g + 19*a*g + 1357*a wrt a.
-30*a*g - 2058*g
Find the third derivative of -2*i**6 - 2571*i**5 + 2*i**2 - 71*i + 69 wrt i.
-240*i**3 - 154260*i**2
What is the second derivative of -492784*n**2 + 14296*n - 26?
-985568
What is the second derivative of -29822*j*p**2 - 247*j*p + 56*j wrt p?
-59644*j
What is the first derivative of -10*n**4 - 88*n**2 - 4*n + 1905962?
-40*n**3 - 176*n - 4
Find the second derivative of 8*v** | {
"pile_set_name": "DM Mathematics"
} |
, 13432?
-2*j**2 + 2695*j + 7
What is the b'th term of -13490, -53959, -121408, -215837?
-13490*b**2 + b - 1
What is the h'th term of 4557, 36432, 122945, 291414, 569157, 983492?
4553*h**3 + h**2 + h + 2
What is the f'th term of -1001, -3748, -8239, -14474, -22453, -32176?
-872*f**2 - 131*f + 2
What is the n'th term of -52, -601, -2098, -5017, -9832?
-79*n**3 + 4*n + 23
What is the a'th term of 954, 1887, 2820, 3753, 4686, 5619?
933*a + 21
What is the o'th term of -3417, -3431, -3445, -3459, -3473, -3487?
-14*o - 3403
What is the v'th term of -4512, -9040, -13568, -18096, -22624?
-4528*v + 16
What is the d'th term of -377, -324, -237, -116, 39?
17*d**2 + 2*d - 396
What is the v'th term of 10147, 10138, 10129, 10120, 10111?
-9*v + 10156
What is the l'th term of -6347, -12685, -19013, -25325, -31615, -37877, -44105, -50293?
l**3 - l**2 - 6342*l - 5
What is the z'th term of 140, 59, -202, -649, -1288?
-z**3 - 84*z**2 + 178*z + 47
What is the j'th term of -1605, -3262, -4911, -6546, -8161, -9750, -11307, -12826?
j**3 - 2*j**2 - 1658*j + 54
What is the z'th term of -11732, -11646, -11560, -11474?
86*z - 11818
What is the g'th term of -669, -1437, -2201, -2961, -3717?
2*g**2 - 774*g + 103
What is the z'th term of 5695, 5635, 5575?
-60*z + 5755
What is the q'th term of 591, 618, 645, 672, 699, 726?
27*q + 564
What is the v'th term of -1393, -2837, -4287, -5743, -7205, -8673?
-3*v**2 - 1435*v + 45
What is the s'th term of 339, 1298, 2895, 5130, 8003?
319*s**2 + 2*s + 18
What is the k'th term of -8, 3, 20, 31, 24?
-2*k**3 + 15*k**2 - 20*k - 1
What is the k'th term of 35, 560, 1107, 1688, 2315, 3000, 3755, 4592?
2*k**3 - k**2 + 514*k - 480
What is the k'th term of -201, -415, -625, -831, -1033, -1231, -1425?
2*k**2 - 220*k + 17
What is the j'th term of -44579, -89142, -133705, -178268?
-44563*j - 16
What is the n'th term of 515, 520, 539, 572, 619?
7*n**2 - 16*n + 524
What is the u'th term of -8947, -8952, -8959, -8968, -8979, -8992, -9007?
-u**2 - 2*u - 8944
What is the q'th term of 259, 304, 353, 406, 463, 524, 589?
2*q**2 + 39*q + 218
What is the i'th term of 57488, 114914, 172344, 229778?
2*i**2 + 57420*i + 66
What is the c'th term of 145, 349, 671, 1171, 1909, 2945, 4339, 6151?
10*c**3 - c**2 + 137*c - 1
What is the d'th term of -220, -345, -470, -595?
-125*d - 95
What is the x'th term of 51104, 51105, 51098, 51077, 51036, 50969, 50870, 50733?
-x**3 + 2*x**2 + 2*x + 51101
What is the g'th term of 3967, 3977, 3993, 4015, 4043, 4077?
3*g**2 + g + 3963
What is the l'th term of 42653, 85310, 127967?
42657*l - 4
What is the a'th term of 83, 516, 1687, 3962, 7707, 13288?
61*a**3 + 3*a**2 - 3*a + 22
What is the z'th term of -18031, -36017, -54003, -71989, -89975?
-17986*z - 45
What is the s'th term of 46309, 92602, 138893, 185182, 231469, 277754?
-s**2 + 46296*s + 14
What is the h'th term of 1372, 1344, 1340, 1366, 1428, 1532?
h**3 + 6*h**2 - 53*h + 1418
What is the p'th term of -4974, -4964, -4954, -4944?
10*p - 4984
What is the o'th term of -2247, -4317, -6387, -8457, -10527, -12597?
-2070*o - 177
What is the w'th term of 32260, 32237, 32214?
-23*w + 32283
What is the c'th term of -265, -226, -159, -58, 83, 270, 509?
c**3 + 8*c**2 + 8*c - 282
What is the f'th term of -2047, -16425, -55451, -131449, -256743, -443657, -704515, -1051641?
-2054*f**3 + 7
What is the b'th term of -8, -109, -384, -917, -1792?
-14*b**3 - 3*b**2 + 6*b + 3
What is the r'th term of 419, 360, 165, -244, -945?
-13*r**3 + 10*r**2 + 2*r + 420
What is the i'th term of -2032, -8157, -18380, -32701, -51120?
-2049*i**2 + 22*i - 5
What is the g'th term of 1, -60, -201, -452, -843, -1404, -2165, -3156?
-5*g**3 - 10*g**2 + 4*g + 12
What is the x'th term of -52, -263, -476, -691, -908?
-x**2 - 208*x + 157
What is the s'th term of 184, 446, 708?
262*s - 78
What is the m'th term of 649, 2016, 5733, 12976, 24921, 42744, 67621, 100728?
196*m**3 - m**2 - 2*m + 456
What is the z'th term of -375701, -375699, -375697, -375695, -375693?
2*z - 375703
What is the m'th term of 159, -74, -463, -1008, -1709, -2566, -3579?
-78*m**2 + m + 236
What is the k'th term of 22, 10, -24, -92, -206, -378?
-2*k**3 + k**2 - k + 24
What is the t'th term of -1041, -4165, -9373, -16665, -26041?
-1042*t**2 + 2*t - 1
What is the z'th term of 1142, 1299, 1746, 2627, 4086, 6267, 9314, 13371?
24*z**3 + z**2 - 14*z + 1131
What is the h'th term of -27803, -55609, -83423, -111245?
-4*h**2 - 27794*h - 5
What is the t'th term of 518, 1326, 2664, 4526, 6906, 9798, 13196?
-t**3 + 271*t**2 + 2*t + 246
What is the h'th term of -913, -2736, -4559, -6382, -8205, -10028?
-1823*h + 910
What is the v'th term of -17306, -34610, -51910, -69206, -86498, -103786?
2*v**2 - 17310*v + 2
What is the w'th term of 144, 464, 784, 1104?
320*w - 176
What is the y'th term of 110, 734, 2436, 5756, 11234?
90*y**3 - y**2 - 3*y + 24
What is the s'th term of 1371, 1461, 1551?
90*s + 1281
What is the x'th term of -430, -1776, -4020, -7162, -11202, -16140, -21976?
-449*x**2 + x + 18
What is the c'th term of 291, 1127, 2513, 4443, 6911?
-c**3 + 281*c**2 + 11
What is the q'th term of 5427, 5407, 5367, 5301, 5203, 5067?
-q**3 - 4*q**2 - q + 5433
What is the d'th term of -2788, -5711, -8624, -11521, -14396?
d**3 - d**2 - 2927*d + 139
What is the t'th term of -667, -3059, -7037, -12595, -19727, -28427?
t**3 - 799*t**2 - 2*t + 133
What is the a'th term of -1144, -2280, -3416, -4552, -5688?
-1136*a - 8
What is the d'th term of 430, 445, 472, 517, 586, 685, 820, 997?
d**3 + 8*d + 421
What is the k'th term of -535, -1024, -1513, -2002, -2491, -2980?
-489*k - 46
What is the v'th term of -365, -633, -767, -755, -585, -245, 277?
2*v**3 + 55*v**2 - 447*v + 25
What is the k'th term of -829, -808, -785, -760, -733, -704, -673?
k**2 + 18*k - 848
What is the k'th term of 167, 744, 1793, 3386, 5595, 8492?
12*k**3 + 164*k**2 + k - 10
What is the q'th term of 35, 160, 411, 818, 1411, 2220, 3275, 4606?
5*q**3 + 33*q**2 - 9*q + 6
What is the k'th term of 2640414, 2640415, 2640416, 2640417, 2640418, 2640419?
k + 2640413
What is the z'th term of -11084, -11151, -11218, -11285, -11352, -11419?
-67*z - 11017
What is the u'th term of 20763, 20765, 20767, 20769?
2*u + 20761
What is the r'th term of -16456, -32929, -49406, -65887?
-2*r**2 - 16467*r + 13
What is the q'th term of 208, 463, 718, 973, 1228?
255*q - 47
What is the r'th term of -73, -39, 179, 671, 1527?
15*r**3 + 2*r**2 - 77*r - 13
What is the b'th term of -389, -1529, -3435, -6113, -9569, -13809, -18839, -24665?
-b**3 - 377*b**2 - 2*b - 9
What is the v'th term of -1643, -3444, -5245, -7046, -8847?
-1801*v + 158
What is the a'th term of -746, -856, -964, -1070, -1174, -1276?
a**2 - 113*a - 634
What is the l'th term of -3946, -7787, -11602, -15379, -19106?
2*l**3 + l**2 - 3858*l - 91
What is the c'th term of 262, 532, 838, 1198, 1630, 2152?
3*c**3 + 249*c + 10
What is the h'th term of 2199, 2186, 2173, 2160?
-13*h + 2212
What is the f'th term of 714, 734, 768, 816, 878, 954, 1044?
7*f**2 - f + 708
What is the z'th term of -249061, -498122, -747185, -996250?
-z**2 - 249058*z - 2
What is the u'th term of -335, -1480, -3375, -6014, -9391, -13500?
u**3 - 381*u**2 - 9*u + 54
What is the j'th term of -159, -959, -2285, -4131, -6491, -9359, -12729, -16595?
j**3 - 269*j**2 + 109
What is the i'th term of 250681, 501360, 752039, 1002718, 1253397, 1504076?
250679*i + 2
What is the u'th term of 2988082, 2988080, 2988078, 2988076, 2988074, 2988072?
-2*u + 2988084
What is the o'th term of -19, -105, -263, -529, -939?
-6*o**3 - 44*o + 31
What is the j'th term of -724301, -1448600, -2172899?
-724299*j - 2
What is the x'th term of 3559, 3575, 3595, 3619, 3647, 3679?
2*x**2 + 10*x + 3547
What is the v'th term of 329, 677, 1033, 1397?
4*v**2 + 336*v - 11
What is the z'th term of 2094, 4239, 6370, 8481, 10566, 12619, 14634?
-z**3 - z**2 + 2155*z - 59
What is the l'th term of 17, 2, 9, 68, 209, 462, 857, 1424?
5*l**3 - 19*l**2 + 7*l + 24
What is the x'th term of 543, 5442, 18749, 44670, 87411, 151178, 240177, 358614?
701*x**3 - 2*x**2 - 2*x - 154
What is the d'th term of 84, 393, 1240, 2889, 5604?
44*d**3 + 5*d**2 - 14*d + 49
What is the t'th term of 4329, 4327, 4323, 4317, 4309, 4299, 4287?
-t**2 + t + 4329
What is the u'th term of -7367, -7408 | {
"pile_set_name": "DM Mathematics"
} |
or p.
-8
Solve -4*f - 235*h = -237*h + 14, -5*f + 2*h - 18 = 0 for f.
-4
Solve 5*a - 2*n - 18 = 0, 5*a = 1071*n - 1072*n - 9 for a.
0
Solve 0 = 4*x + c - 12, -63*x - 6 = -60*x - 3*c for x.
2
Solve 4*l + 44*v = 63*v, 3*l + 3*v - 5*v = 0 for l.
0
Solve o - 8 = -2*r, 19*o = 200*r - 199*r - 43 for o.
-2
Solve 56 = 5*y + 14*i - 14, -3*i + 15 = 0 for y.
0
Solve 62*r + 0*s - 3*s = 63*r + 40, -4*s = 60 for r.
5
Solve q - f = 6, 2*q - 20 = -71*f + 75*f for q.
2
Solve 35 = -3*s + 5*l, 21*s - 4*l = 25*s + 36 for s.
-10
Solve 30*j = 26*j, -m + 5*j = -4 for m.
4
Solve 16*p - 46*c + 42*c - 68 = 0, -12 = -2*p + 4*c for p.
4
Solve 21*w + 3*g = 16*w - 26, 2 = -g for w.
-4
Solve -2*r - 2531 = 2*c - 2529, 0 = -c + 4*r + 24 for c.
4
Solve 0 = -c + 5*g - 8, -35*c + 36*c - 3*g = -6 for c.
-3
Solve 62*y - 4*c + 268 = 0, 2*y - 3*c + 3 = 5*y for y.
-4
Solve 4*p + 93 = 11*d, -1388*d = -p - 1392*d - 3 for p.
-15
Solve 23*n + 2 = -x + 24*n, -n = -4*x + 4 for x.
2
Solve 1050*h + 13 = -3*u + 1055*h, -4*h = -4*u - 12 for u.
-1
Solve -v + 3*x = -14, -36*v + 40*v = -2*x - 14 for v.
-1
Solve 2*t - 2 = 0, -50 = 2*l - 5*t - 55 for l.
5
Solve 0 = -6*d - 2*r - 36, -5*r + 115 = -4*d + 72 for d.
-7
Solve 2*t + 16 = 5*n + 41, -28 = -n + 7*t for n.
-7
Solve -2*f - 5*g + 38 = 0, 127 = -f + 4*g + 94 for f.
-1
Solve -6*w - 153*c + 149*c + 4 = -4*w, -5*c - 5 = 0 for w.
4
Solve -7*q + 0*a + 33 = a, -5*q + 128 - 83 = 5*a for q.
4
Solve -177*c - 5*s = -179*c - 8, 1 = 3*c - s for c.
1
Solve -4*s = -687*k + 689*k + 8, -4*k = 6*s + 12 for s.
-2
Solve 1 = -w - 33*b + 43*b - 8, -2*w - 3 = -5*b for w.
1
Solve 19*m - 15*m = -8*a + 36, 3*a + 3*m = 15 for a.
4
Solve -7*d + 3*y + 32 = -12*d, -4*d = -y + 12 for d.
-4
Solve -70*j + 0*z - 3 = -69*j - 2*z, 0 = 3*z - 6 for j.
1
Solve -46 = 4*x + 4*n - 18, -3*x - 6*n - 2*n = 46 for x.
-2
Solve -47 = -3*w + 5*r, 0 = 3*r + 83 - 53 for w.
-1
Solve -8 = c - 4*o, -3*o = -2*c + 4*c - 17 for c.
4
Solve 10*v - 16 = 6*v, z - 28*v + 108 = 0 for z.
4
Solve p + 5*l = 50, 54*l = 3*p + 52*l + 37 for p.
-5
Solve -8 = -2*y - 2*b, 2*y - 4*b - 2 = 3*y for y.
6
Solve 29*w = 30*w - 5*u - 22, -2*u = 10 for w.
-3
Solve 372*q + 6 = u + 369*q, 4*u - 24 = 3*q for u.
6
Solve 3*q = -4*i - 29, -4*i - 41 = 101*q - 94*q for q.
-3
Solve -s - 1 = 5*t, 0 = -3*s + 5*t - 213 + 230 for s.
4
Solve -2*u + 2021*o - 2020*o = 4, -u = 5*o + 24 for u.
-4
Solve 3*p - s + 4 = 0, -s - 1 = 313*p - 311*p for p.
-1
Solve 0 = -11*s - 2*n - 93, -14*n - 60 = 5*s - 19*n for s.
-9
Solve -42 = -6*p + z - 13, -2*p = -z - 13 for p.
4
Solve 0 = -4*j - 3*i + 31, -3*j - 114*i + 119*i = 13 for j.
4
Solve -5*s - 4*t = 10, 4*s - 2*t - 268 = -276 for s.
-2
Solve 4*c = -123*g + 127*g + 16, -2*g + 3*c - 11 = 0 for g.
-1
Solve -3*w + 2*n + 10 = 0, 47*w + 5*n = 42*w - 25 for w.
0
Solve -6*r = -2*f - 7*r + 3, 3 = 4*f + 3*r for f.
3
Solve -2*j - 5*v = -110, 34*j - 8*v = 29*j - 135 for j.
5
Solve 5*m + 2*b = 5, 0 = 24*m + 33*b - 36*b - 24 for m.
1
Solve 2*g = 4, -4*g + 133 = -2*r + 123 for r.
-1
Solve q = 2*n + 6, -4*q = -7*n + 5 - 26 for q.
0
Solve 4*i = -4*s - 92, 69 = -3333*i + 3330*i + 4*s for i.
-23
Solve 3*x - 5*l = -40, 7*x + 40 = 2*x + 3*l for x.
-5
Solve -2626*a + 2627*a = 5*k + 26, -2*k + 5*a = 61 for k.
-3
Solve 6*w + 9 = 11*w - 2*c, 2*w + 3*c = -23 for w.
-1
Solve -4 = -l - 5*h, -2*l - 9*h + 3*h - 2 = -h for l.
-6
Solve 3*o - 357*c = -361*c - 20, -3*o - 3*c = 15 for o.
0
Solve 4*j - 3*b - 16 = 0, 0 = -4*j + b + 210 - 194 for j.
4
Solve 3*g - 4*b = -11 - 4, -15 = 3*g + b for g.
-5
Solve -3*o + 9 = -2*b, -o + 5*b - 4 + 7 = 0 for o.
3
Solve -2*z = -p, 15*z = 3*p - 10*z + 21 - 2 for p.
2
Solve 8088*g = 4*r + 8092*g - 136, 25 = 5*g for r.
29
Solve -3*l + 10 = 5*n, 2*n - 236 = 4*l - 206 for l.
-5
Solve 4*w + 27 = -5*j + 3*w, j + 32 = -4*w for j.
-4
Solve 0 = -2*g + 5*g - o - 6, 3*o + 12 = -2*g + o for g.
0
Solve -2*k = i - 5, i + 426654 = 426653 for k.
3
Solve 0 = 4*n + 3*y + 14, -2*n + 123 = -3*y + 103 for n.
1
Solve -3*t = -228*j + 229*j + 4, -3*t = -j + 14 for t.
-3
Solve 5*o = -5*b + 45, -33*o - 3*b + 5 = -32*o for o.
11
Solve -2*v - 173 + 181 = -3*v + 3*j, 2*v - 2*j + 12 = 0 for v.
-5
Solve -5*f = -3*i - 11, 68*f - 69*f + 19 = 5*i for f.
4
Solve 0 = 2*c - 2*x + 6, -5*c - 7 = 2*x - 34 for c.
3
Solve 4*i + 28 = -2*c, 3*i - 5 = -26*c + 31*c for i.
-5
Solve 4*x + 68 - 28 = -4*r, 4*r + 13 = 5*x for x.
-3
Solve -2*x + 1 + 9 = 3*r, 80*x = 3*r + 85*x - 7 for r.
4
Solve -5*j + 5*t + 131 = 156, 20 = -4*j - 5*t for j.
-5
Solve 0 = -5*n - 35, -10*x + 8*x - n = -3 for x.
5
Solve -23*d = 3*h - 26*d, -2*d - 14 = 5*h for h.
-2
Solve 2*i - 2 = j, 9*j - 52*i - 26 = -56*i for j.
2
Solve -532*v - 15 = -533*v - 5*l, -4*l = -16 for v.
-5
Solve -3 = c - 3*y, 1480*y = c + 1475*y + 3 for c.
-3
Solve -33 = 11*r, -35*r = -7*u + 2*u - 33*r - 39 for u.
-9
Solve 2*t = 3*r - 7, -83*t + 61*t = 5*r + 39 for r.
1
Solve 5*h - 5*i + 49 = 19, 3*i - 4 = h for h.
-7
Solve -q + 5*q + 607*c + 18 = 606*c, 3*c = -42 for q.
-1
Solve 4*l + 41 = -3*a - 0, -l = 3*a + 17 for a.
-3
Solve 4*z - 8 = 257*b - 255*b, 2*z = -3*b + 20 for b.
4
Solve 1261*p + 18 = -2*z + 1257*p, -3*z - 24 = 5*p for z.
-3
Solve 0 = -b + 2*o - 11, 1 = b - 363*o + 364*o for b.
-3
Solve -3619*u = -3614*u + 5*s, 0 = -4*s + 20 for u.
-5
Solve -2 - 24 = -10*h + 2*o, -4*h + 23 = o for h.
4
Solve -y = -3*p + 29, 7*p + 336 = -3*y + 409 for p.
10
Solve -3*k - 4*m - 474 = -463, 5*m = -10 for k.
-1
Solve -3*n + 3*i = -6, -5*n - 12*i = -6 + 81 for n.
-3
Solve x - 4*j - 2032 = -1989, 5*x - 5 = -j for x.
3
Solve 505*n = -4*b + 501*n - 16, -2 = 2*b - n for b.
-2
Solve -41522*n - 45 = 5*q - 41517*n, -3*q - 34 = 4*n for q.
-2
Solve 20 = 5*a, 0 = 268*k - 270*k + 5*a - 16 for k.
2
Solve 3*d = -2*o - 5, -842*o = -422*o - 417*o + 30 for d.
5
Solve 11*y + 14*y - 22 = -r + 34*y, -3*r - 4*y = -4 for r.
4
Solve 5*h + 42 = 4*j, 5*j + 76 = 11*h + 157 for h.
-6
Solve 8*y - 28 = -3*c, 2*y + 2 = -21*c + 18*c for y.
5
Solve -44*u + 35*u = 4*s + 214, -u - 42 = 5*s for u.
-22
Solve -10*w - 2*p - 2377 = -2405, 0 = -4*w - 4*p - 8 for w.
4
Solve 2*p - 32*f + 14 = -34*f, -5*f = -3*p - 5 for p.
-5
Solve -3*i = 6, 3*h = 3*i + 10 - 1 for h.
1
Solve -5*v = -z - 8, 3*z + 724*v - 8 = 723*v for z.
2
Solve -5*s + 0 = -4*l + 11, s - 33 = -8*l for s.
1
Solve -123*l - 10 = -119*l - i, 2*i = -5*l - 6 for l.
-2
Solve 4*c - 259*a = -255*a + 64, 4*c - 49 = -a for c.
13
Solve 3*g - 4*i - 12 = 0, 4*i + 12 = 9*g - 0*g for g.
0
Solve -3 = 3*j + 3*x, 0 = -5*j - 213867*x + 213864*x - 1 for j.
1
Solve o = -4*x + 9, 0 = x - 6400*o + 6403*o + 6 for x.
3
Solve -530*s = 5*t - 525*s, 2*t + 12 = 4*s for t.
-2
Solve -5*j - 10 = -5*d, -4*d - 402*j + 398*j - 32 = 0 for d.
-3
Solve -88*x = -3*h - 87*x + 5, 0*h + 5 = 4*h - 3*x for h.
2
Solve 5*x + 12965*m - 17 = 12963*m, -3*x + m = -19 for x.
5
Solve -4*w - 2*k - 46 = -12, 0 = -5*w + 2*k - 29 for w.
-7
Solve 2*r - 6 = 4*a, 12 = -2*a + 57*r - 53*r for a.
0
Solve -34 = 5*j + 2*y, 0 = -1119*j + 1121*j + y - 11*y - 62 for j.
-4
Solve 3*d = -12, 4*d - 32 + 29 = -19*i for i.
1
Solve 11*v = -4*x - 170, 106*v + 16 = 104*v + 3*x for v.
-14
Solve -2*b = 5*t + 5, 5*b + 724 = -5*t + 719 for t.
-1
Solve -4*d - 20 = 5*f - f, -5*f = d + 45 for f.
-10
Solve 4*a = 8, 45*r - 46*r + 5 = 7*a for r.
-9
Solve 3*b - 60 + 48 = 0, 14*w - 4*b - 10 = -3*b for w.
1
Solve 0 = -11*b - 5*h - 73, -4*b + h = -257 + 292 for b.
-8
Solve -4*d = 4*o, -4*o - 192*d + 190*d + 10 = 0 for o.
5
Solve 6*x - 11*x = 2*n - 16, 5*x = 4*n - 2 for x.
2
Solve n = 141*f - 143*f - 9, 36 = -5*n - f for n.
-7
Solve 2*r = -2*p - 2*r + 32, 121*p - 117*p - 33*r = -264 for p.
0
Solve 16 = 4*n + c, 39*n = 50*n - 2*c - 44 for n.
4
Solve 4*k = -10*p - 50, 514*k = 516*k - 2*p + 4 for k.
-5
Solve -3*d - 12 = r, 0 = 117*d - 119*d + 4*r - 22 for d.
-5
Solve -3*g + 3*c + 48 = 0, 5*g + 5*c - 4693 = -4613 for g.
16
Solve -2*t + 3 = s, -598*t + 30 = -593*t - 2*s for t.
4
Solve 28*n = 5*o + 29*n - 74, 4*n = 7*o - 82 for o.
14
Solve -4*o + 25 = 5*l, 5*l - 4*l = 4*o + 5 for l.
5
Solve 0 = -2*v - s - 1, 3*s + 3387 = v + 3377 for v.
1
Solve 13*v + 8 = 2*g + 15*v, 4*g - 2*v = -14 for g.
-1
Solve -c = -4*q - 6, 4*q = 25*c - 23*c - 4 for c.
-2
Solve 4*m + 419*x = 416*x + 20, 2*m = 4*x - 12 for m.
2
Solve 5*n = -3*o - 24, -2*o - 5*n - 71 + 50 = 0 for o.
-3
Solve 0 = -p + 5*l - 31, | {
"pile_set_name": "DM Mathematics"
} |
s divided by h(0).
42
Let z = 227 + -225. Suppose f + 13 = -5*d - 0, -43 = -5*f + z*d. Calculate the remainder when 20 is divided by f.
6
Suppose 3*u + 7 = -2*d, -2*d = 3*d - 5. What is the remainder when 160 + (-12)/(-6)*u is divided by 13?
11
Suppose -2052*i + 2050*i = -738. Suppose 3*t - 179 = -5*u - 0*u, 3*u = 5*t - 253. Calculate the remainder when i is divided by t.
51
Let w = -908 - -938. Let a(f) = -f**3 + 4*f**2 + 3*f. What is the remainder when a(-3) is divided by w?
24
Let c = 551 + -538. Let v = -72 + 40. Let r = 81 + v. What is the remainder when r is divided by c?
10
Suppose 8*g - 12*g = 3*w - 73, -49 = -2*g + w. Suppose g*h - 7386 = 116. Calculate the remainder when h is divided by 69.
65
Let n = -1221 - -1304. Suppose 4*a - 124 = -5*w, -2*a + 5*a - 72 = -3*w. What is the remainder when n is divided by w?
27
Suppose 74*r = 37*r - 518. What is the remainder when 80 is divided by (1*-1 - r) + (66 - 67)?
8
Let b(u) = -u**3 - 4*u**2 - 2*u + 5. Let k be b(-8). Suppose j - k - 2 = 0. Suppose 10*f - j = f. Calculate the remainder when f is divided by 17.
14
Suppose -5*j + w = -383 - 56, -j = 4*w - 92. Calculate the remainder when 608 is divided by j.
80
Let k(c) = -56*c + 3751. What is the remainder when k(63) is divided by 28?
27
Let m(x) = -x**2 - 2*x + 19. Let c(l) be the third derivative of l**4/8 + 7*l**3/2 + 22*l**2. Let p be c(-7). What is the remainder when m(p) is divided by 7?
5
Let k(f) = -42*f + 6. Let q be k(0). Suppose q*w + 5*a = 128, 0*w + 4*a = -w + 15. What is the remainder when w is divided by 15?
8
Let p = 66 + -33. Let v = p - 78. What is the remainder when (-7239)/v + (-4)/(-30) is divided by 41?
38
Suppose -83 = -2*r + 95. Suppose -102 = -4*a + 2*f, -4*f - 19 = 3*a - 68. Calculate the remainder when r is divided by a.
20
Let l = -509 - -855. What is the remainder when l is divided by 116?
114
Let p(m) = -49*m**2 + 7*m - 45. Let u be p(5). Let b(o) = -o**3 - 7*o**2 - 6*o - 10. What is the remainder when (1/2*-4)/(13/u) is divided by b(-7)?
30
Let l = 4672 + -2789. Calculate the remainder when l is divided by 15.
8
Let a(x) = 7*x + 133. Let p = 29 + -27. What is the remainder when a(-18) is divided by p?
1
Let t = -18 + 13. Let a = 149 - 117. Let s = a + t. Calculate the remainder when 132 is divided by s.
24
Let l(u) = 9*u**2 - 5*u + 37. Let b be l(6). Suppose b = 4*x + 5*c, -6*x - 4*c + 247 = -3*x. What is the remainder when x is divided by 7?
5
Suppose -3*v + 8 - 2 = 0. Suppose 0 = -v*n + 3*n - 6. Suppose 4*o + s - 67 = 41, -4*o + 112 = 2*s. What is the remainder when o is divided by n?
2
Let i = -1410 + 1781. Calculate the remainder when 1117 is divided by i.
4
Suppose -1460 = -1115*o + 1095*o. Suppose -x - x - b + 160 = 0, 0 = 2*b + 4. Calculate the remainder when x is divided by o.
8
Suppose -k = 4, -3*w + 0 = 5*k + 5. Suppose -2*c + 4*s + 72 = 0, -160*c = -162*c - s + 57. Calculate the remainder when c is divided by w.
0
Let j(b) = b**3 - b**2 + 6. Suppose -2*a = 0, -3*r = -r - 5*a. Calculate the remainder when j(r) is divided by 4/(-2)*6/(-4).
0
Let k = 382 - 218. Suppose 324 = 13*w - 11*w - s, k = w - s. What is the remainder when w is divided by 25?
10
Suppose -2865*g + 2604*g + 1566 = 0. Let f = -30 - -52. Suppose -f = -s - 0*s. Calculate the remainder when s is divided by g.
4
Suppose 2*i = 10*i - 2*y - 342, -i + 57 = -5*y. Let o(b) = -b - 6. Let u be o(0). Calculate the remainder when i is divided by (-9)/u*44/6.
9
Let n(q) = 535*q + 4516. What is the remainder when n(-8) is divided by 45?
11
Suppose 3*u = 5*u - 280. Let l = u + -86. Suppose 11*k = 14*k - l. What is the remainder when 35 is divided by k?
17
Let o = -8 + 14. Let t = -584 + 584. Suppose q - o*q + 125 = t. What is the remainder when 46 is divided by q?
21
Let c = -57 - -59. Let q be c - (-1 - (0 + -9)) - -3. Calculate the remainder when 50 is divided by q/((-2)/((-102)/(-9))).
16
Let v(f) = 71*f**2 - 2. Let s be 3/(17/7 - 2). Suppose -2*u + s*u = 45. Calculate the remainder when v(-1) is divided by u.
6
Let u = 42414 + -38671. Calculate the remainder when u is divided by 36.
35
Suppose -4*r - 23*h - 3641 = -20*h, -2*r - h = 1819. Let t = 953 + r. What is the remainder when t is divided by 4?
1
Let k(q) = -21*q - 91. Suppose 2*d - 14 = j - 59, -2*j - 30 = 2*d. Calculate the remainder when k(d) is divided by 15.
14
Let t = -11141 - -12487. What is the remainder when 2701 is divided by t?
9
Let k = -13 + 74. What is the remainder when k is divided by (-19)/(912/(-56)) + (-191)/(-6) + -1?
29
Let t(i) = i**3 - 12*i**2 + 11*i + 13. What is the remainder when t(11) is divided by 4?
1
Let y = -55 - -504. What is the remainder when 1347 is divided by y?
0
Let y be (-16)/(-48) + (-140)/6. Let g(v) = -v**3 - 21*v**2 + 44*v - 7. What is the remainder when g(y) is divided by 20?
19
Let q = 184 - 180. Suppose -q*c - m + 686 = c, m = -4*c + 548. What is the remainder when c is divided by 13?
8
Suppose -t = d - 170 + 24, -d = -2*t + 277. Calculate the remainder when (3 - -2)*t/15 is divided by (-3 - -1) + (1 - -13).
11
Let j be (902/246)/((-2)/(-48)). Suppose 64*p = 66*p - j. Calculate the remainder when 86 is divided by p.
42
Let x(g) = -g**2 - 21*g + 50. Suppose 0 = 5*q - 414 + 184. What is the remainder when x(-19) is divided by q?
42
Suppose 0 = -4*d + 2*c - 82, 3*c + 12 = -3*d - 27. Calculate the remainder when 46 is divided by 42/(-9)*d/7.
10
What is the remainder when 208 is divided by (-6318)/(-143) - 18/99?
32
What is the remainder when (-1)/((-6)/4) + 8540/60 is divided by (-294)/(-4) + 1/(-2)?
70
Let k(f) = f**2 - 7*f - 52. Let d be -206 - ((-3)/(-5))/((-2)/(-10)). Let a = 388 + d. What is the remainder when a is divided by k(-7)?
41
What is the remainder when (-79632)/(-77) + (-1 - 18/(-22)) is divided by 1026?
8
Suppose 731*a - 737*a + 1530 = 0. Let s = 346 - a. Calculate the remainder when s is divided by 26.
13
Let p = 6973 - 6944. Calculate the remainder when 63 is divided by p.
5
Suppose -2*t + 49 = 3*w, -13*w = -3*t - 11*w + 106. Calculate the remainder when t is divided by 9.
5
Suppose 2108*u - 567 = 2045*u. What is the remainder when 113 is divided by u?
5
Let c(j) = 116*j**3 - j**2 + 3*j - 1. Let x be c(1). Let f = x + -13. What is the remainder when f is divided by 12?
8
Let d(n) = 4*n**3 + 208*n**2 - 61*n - 239. Calculate the remainder when d(-52) is divided by 485.
23
Let w = -36729 - -36772. What is the remainder when w is divided by 2/(-5) - (-132)/5?
17
Let q be (-89)/7 + 2/(-7). Let y(v) be the third derivative of -v**4/24 - v**3/2 + 332*v**2. Calculate the remainder when 27 is divided by y(q).
7
Let r be 3456/(-56) + (-6)/21. Let q be 4/(-2) - (3 - 15). Calculate the remainder when (-1 + r/10)/((-2)/q) is divided by 13.
10
Let o = -9 + 20. Let n(i) = o + 14*i + 13*i - 28*i. Calculate the remainder when 100 is divided by n(-6).
15
Let i(a) = -5*a + 3 + 2*a - 3*a. Let s = -806 + 800. What is the remainder when i(s) is divided by 11?
6
Let j = 18115 + -17439. Calculate the remainder when j is divided by 15.
1
Suppose -10*x + 377 = 4*i - 15*x, 2*x = -5*i + 463. Suppose -102*u = -i*u - 234. What is the remainder when u is divided by 7?
5
What is the remainder when 472 is divided by (291/10 + (-616)/(-440))/(1/4)?
106
Suppose 28*y - 1641 - 3947 = 29524. Calculate the remainder when y is divided by 37.
33
Let f(j) = j**2 - j + 12. Let q be 6/(180/(-310))*54. What is the remainder when q/(-26) - (-126)/(-273) is divided by f(0)?
9
Suppose s - 3*s = 40. Let k = s + 25. What is the remainder when 3 - (-4 - -2) - -4 is divided by k?
4
Let u(h) = -4*h**3 - 25*h**2 - 2*h - 9. Let n(z) = -z**3 - 2*z**2 + z - 1. Let t(w) = n(w) - u(w). Calculate the remainder when t(-7) is divided by 28.
1
Suppose 116 = 6*r - 2*r. Let t = -943 + 1126. Suppose -15 = 21*l - t. Calculate the remainder when r is divided by l.
5
Suppose -11 = -5*k + 4. Suppose 5*r - 2*d + 176 = 0, 4*r + 182 - 55 = -k*d. Let a = r + 59. What is the remainder when 74 is divided by a?
24
Let r(l) = -l**2 - 45. Let w be r(8). Let k = w - -118. Suppose x - 3*s = 18, x - 2*s = -7*s + 10. Calculate the remainder when x is divided by k.
6
Let c(y) = y**2 - 8*y + 22. Suppose -3*u - 147 = -6*u. Let z = u + -21. Calculate the remainder when z is divided by c(6).
8
Let z = -29 - -31. L | {
"pile_set_name": "DM Mathematics"
} |
*x**2 and give h.
0
Express -4*u**2 + 103*u**4 - 3*u - 104*u**4 + 4*u**2 - 5 as f*u**4 + j*u**3 + r + l*u + b*u**2 and give r.
-5
Rearrange -10*o**2 + 22*o**2 - 10*o**2 + 3*o to g*o**2 + l*o + h and give l.
3
Rearrange -2*p - 8 + 3 - 6 - 15 to m*p + x and give m.
-2
Rearrange (2*l + 1 - 1)*(-34 + 9 - 4) to the form h*l + d and give h.
-58
Rearrange (13 - 8*f**2 - 13)*(f - f - 2*f**2) to the form c*f**2 + l*f + i*f**4 + m + k*f**3 and give i.
16
Express k**2 - 7*k**3 - k + 3*k**2 + k - 2*k in the form w + s*k + q*k**3 + f*k**2 and give s.
-2
Rearrange -2*r**2 + 32*r**2 + 7*r**2 to l + j*r + k*r**2 and give k.
37
Express (-5 + 3 + 1)*(-20 - 16*d + 20)*(-29*d**2 + 5*d**3 + 29*d**2) in the form s*d + t + a*d**3 + r*d**2 + o*d**4 and give o.
80
Express -12*t**2 + 7*t**2 - 2*t + 3*t in the form v*t**2 + f*t + j and give v.
-5
Rearrange (-3*j**2 + 13*j**2 + 3*j**2)*(-3*j + j - 3*j + 2) to the form n*j + l*j**3 + k + h*j**2 and give h.
26
Express 0 + 0 + 2*a**3 + (-a + 2 - 2)*(2*a**2 - a**2 - 3*a**2) + 33*a**2 + 2*a - 3*a**3 - 33*a**2 as o + p*a**2 + m*a + y*a**3 and give p.
0
Express -19*u - 14*u + 31*u - 11 as t*u + d and give t.
-2
Rearrange (-84 - 54 + 78 - 331)*(0 + 0 + i**3) to the form g*i**3 + t*i + r + l*i**2 and give g.
-391
Express (-9*s**3 + 3*s**3 - 6*s**3 + 2*s**4)*(4 + 1 - 3) in the form a*s**4 + u + t*s**3 + j*s**2 + d*s and give d.
0
Express (4*i**2 + 2*i**2 - 3*i**2)*(3 - 2 + 1) + 0 - 1 + i**2 - 3*i**2 - 3*i + 3*i - 2*i**2 in the form r + c*i**2 + p*i and give r.
-1
Express 15*h**2 + 36 - 32*h**2 + 18*h**2 in the form u + w*h + z*h**2 and give u.
36
Rearrange (-3 + 3 + n)*(-1 - 1 + 3) - 24*n - 2 + 20*n - 23*n to c + k*n and give c.
-2
Express 110*n**3 - 112*n**3 - 3*n - 16*n**2 + n in the form f*n + r*n**3 + j*n**2 + u and give f.
-2
Express 3*v**2 - 4*v**2 - 2*v**2 + (-274 + 36*v + 274)*((3 - 4 - 1)*(-2*v + 3*v - 2*v) - v + 0 + 0) as g*v**2 + m*v + z and give g.
33
Express -2*s**2 + 3*s**3 - 5*s - s**2 - s**3 + 6*s in the form h*s**2 + i*s**3 + y + r*s and give i.
2
Express (66 + 9 + 62 + 85)*(i + 3*i - 3*i) in the form d*i + b and give d.
222
Rearrange (-21 + 8*z**3 + 21)*(2*z - 2*z - 2*z) to i*z**2 + g*z**3 + w*z**4 + k*z + s and give w.
-16
Rearrange 12*q + 16*q - 5*q to the form k*q + i and give k.
23
Rearrange 2*n + 14*n**2 - 2*n + (n**2 - n**2 - 2*n**2)*(4 + 2 - 5) to t*n**2 + x + d*n and give t.
12
Rearrange (31 + 11*d + 0*d - 30)*(-2*d - 2 - 1 + 2) to r + u*d**2 + i*d and give r.
-1
Express 30 - 12 + 24*x - 18 in the form g + v*x and give v.
24
Express -b**2 + 6*b - 5*b + 2*b**3 + 0*b in the form u + q*b**2 + r*b**3 + w*b and give w.
1
Rearrange (2*t + t - t + (3*t - 3*t + t)*(2 + 2 - 5))*(0 + 4 - 2) to r + y*t and give y.
2
Rearrange (-3 + 0 + 4)*(-4*y + 5*y + 0*y + (2 - 2 + 1)*(5*y - 2*y - y) + (-3 + 3 + 2)*(y - 3*y - 8*y)) to the form v + q*y and give v.
0
Express b + 10*b**3 + b - 19*b**3 - 19*b**3 + 2 as f + h*b + l*b**3 + d*b**2 and give f.
2
Rearrange (2*b - 4*b + 3*b)*(-b**2 - 5*b**2 + 5*b**2) + (-2*b**2 - 7 + 7)*(-b + 0*b + 7*b) - 4*b**3 + b**3 + 2*b**3 to i*b**2 + y + c*b**3 + j*b and give c.
-14
Express -33*q + 39*q + 33*q + 35*q in the form p + y*q and give y.
74
Express (-116 + 116 + 9*d)*(3 - 3 - 2*d) in the form f + p*d + l*d**2 and give l.
-18
Express -10 + 11 + 2 + 24*o as g*o + q and give q.
3
Express 5 + r**2 + 2 - 5 - 4 in the form i*r**2 + u*r + g and give i.
1
Express (4*j - 3*j - 3*j)*(j**3 - 2*j**3 - j**3) + 0*j**4 - j**4 + 2*j**4 - 5*j**4 + 5*j**4 - 2*j**4 as c*j + o*j**3 + l*j**4 + b + s*j**2 and give b.
0
Rearrange 98*a**2 - 54*a**2 - 19*a**2 to b*a**2 + n + q*a and give b.
25
Rearrange 4*g**3 + 0 - 5*g**3 + 0*g**3 - 1 to q + b*g**3 + r*g**2 + u*g and give b.
-1
Express (-6 - 2 - 3)*(3 + d - 3) in the form j + n*d and give n.
-11
Express -15*p**2 - 9*p**2 + 23*p**2 + 16*p in the form o + a*p + s*p**2 and give a.
16
Express -14*x**2 - 9*x**2 + 4*x**2 as i + t*x + k*x**2 and give k.
-19
Rearrange 0 - n + 0 + 19*n to v*n + t and give v.
18
Rearrange (3*u**2 - 5*u**2 + u**2)*(-8*u**2 + 9*u**2 + 0*u**2 + 5*u) to the form d*u**2 + p + j*u**3 + k*u + c*u**4 and give j.
-5
Rearrange (2*m**3 - 3*m**3 + 2*m**3)*(5*m - 5*m + 9*m) - m**4 - 3*m**4 + 15*m**4 to w*m + k*m**2 + c*m**4 + s*m**3 + z and give c.
20
Rearrange -3*c**2 + 0*c**2 - 2*c**2 + 2*c**2 + 5*c to the form y + w*c**2 + p*c and give p.
5
Express 3 + 6*m - 8*m + 2*m**3 + 0*m as y*m**3 + b*m + h*m**2 + x and give b.
-2
Rearrange ((-2 + 2 - 2*v)*(3 - 2 - 3) - 61*v - 34*v - 28*v)*(0 - 2*v**3 + 0) to h*v**4 + g + i*v + y*v**3 + o*v**2 and give h.
238
Express 4*z**3 - z + 3*z - 4*z + 0*z**3 as i*z**3 + g*z**2 + n + q*z and give q.
-2
Rearrange 2*u**2 - 2*u**4 + 1113 - 1113 + 2*u - 9*u**3 to d*u**2 + l*u**3 + x*u**4 + y + w*u and give x.
-2
Express -59 + 59 - 6*m - 3*m**3 in the form q*m**2 + i*m + p + j*m**3 and give j.
-3
Express f + f + f + f as m*f + i and give m.
4
Express 49*w - 41*w**2 - 105*w + 56*w as r + o*w + m*w**2 and give m.
-41
Express (2 - 3 - 1)*(-4*m**2 + 3*m**2 - 8*m**2) - 2*m**2 - 2*m + 2*m + 2*m**2 + 3*m**2 - 2*m**2 as p + y*m**2 + w*m and give y.
19
Rearrange -g**2 - 94 - 533*g**3 + 532*g**3 + 33 to the form h*g**3 + s*g**2 + u + y*g and give h.
-1
Express 4*s**4 + 10*s**2 - s + 13*s**2 - 21*s**2 + 2 as g*s**4 + r*s**3 + x*s**2 + z + v*s and give v.
-1
Express (5*p**4 + p**4 - 4*p**4)*(20 + 25 - 20) as h*p**2 + q*p + z*p**3 + n*p**4 + b and give n.
50
Rearrange 13*r**4 - 9*r**4 + 2*r**2 - 3*r**2 - 2*r + 2*r**3 to n*r**3 + u + f*r**4 + b*r + j*r**2 and give n.
2
Express (-5*u + 3*u + 4*u)*(-5*u - u**2 - 8*u**3 + 21 - 21) in the form c*u**3 + s*u**4 + a*u**2 + i + w*u and give a.
-10
Rearrange -19*o + 0*o**2 + 40*o + 3*o**2 - 23*o - 2 to g*o + x*o**2 + n and give x.
3
Rearrange 15 - 23*d - 15 + 0*d to the form n*d + x and give x.
0
Rearrange (1 + 2 - 5)*(a - 28 + 22 - 44) to the form o + p*a and give p.
-2
Express -18*j**2 + 30*j**2 - 52 - 14*j**2 in the form k + l*j + g*j**2 and give g.
-2
Rearrange (67 - 67 - 12*l)*(l**3 + 0*l**3 + 0*l**3) to the form i*l**2 + z*l**4 + m*l**3 + q*l + h and give z.
-12
Rearrange g**3 - 5*g**2 + 0*g**3 - 1 + 13*g + 3*g**2 - 11*g to t*g**3 + c*g + w*g**2 + s and give c.
2
Rearrange -2*q**3 + 6 + q**2 - 6 to the form l*q**2 + d*q**3 + o + z*q and give l.
1
Rearrange (-3*u + 4*u + 0*u)*(1 - 4 + 1 + (-2 + 2 - 1)*(1 - 3 + 1))*(1 + 7 + 16) to the form a + q*u and give q.
-24
Express -28*u - 27*u + 59*u - u**2 - u**3 in the form l + p*u**3 + w*u + s*u**2 and give w.
4
Express q**2 - q - 2*q**3 + 37 - 37 in the form h + b*q**2 + x*q + i*q**3 and give b.
1
Express (11*u - u + u)*(-2*u + 6*u + 2*u)*(4*u - u - u) as n*u**2 + f + l*u + h*u**3 and give h.
132
Express 2*t**2 + 9 - 2*t**2 + t**2 - 2 as w*t + k + s*t**2 and give k.
7
Express -24*a**3 - 39*a**3 + 20*a**3 + (6*a**2 - 5*a**2 + 3*a**2)*(1 + a - 1) in the form h*a + m*a**3 + p + g*a**2 and give p.
0
Express z**2 + 12*z - 12*z + 2 - z**3 - 3*z**2 in the form j*z + w*z**3 + b*z**2 + d and give b.
-2
Rearrange (3*v + 5*v - 5*v)*(11*v**3 - 2*v**3 - 5*v**3) - 2*v**2 + v**4 + 2*v**2 to q*v**3 + c + g*v**2 + f*v + a*v**4 and give a.
13
Express 2*n**4 - 8*n - 5 + 4*n + 6*n + 10 + n**3 in the form v*n**2 + d + u*n**4 + z*n + m*n**3 and give u.
2
Rearrange -2*o**2 + 4*o**2 - 5*o**2 - 7*o**2 to the form s*o + j + b*o**2 and give b.
-10
Rearrange -12*b**2 - 2 + 5*b**3 - b**2 + 3*b**2 + 8*b**2 to n*b**3 + c*b**2 + i + l*b and give n.
5
Rearrange 10*m**2 - 2*m**2 - 26*m**2 to c*m + b + r*m**2 and give r.
-18
Express 5*s**4 + 35 - 3*s**4 + 2*s**3 - 5*s**4 - 33 + 4*s**2 as o*s + g*s**4 + q*s**2 + i*s**3 + b and give g.
-3
Express 71*k**4 + 0 - 70*k**4 + 19*k**2 + 1 in the form u*k**4 + s*k**2 + b + w*k**3 + h*k and give s.
19
Express (7*w**3 + 3*w**3 - 7*w**3)*(27*w + 1329 - 1329) as n*w**2 + l*w**3 + k*w**4 + c*w + v and give k.
81
Express -2 + 2 + 7*a**3 - a - 8*a**3 in the form l*a + b + i*a**3 + o*a**2 and give i.
-1
Rearrange 4*h**4 + 2*h**3 - 217 + 217 - 2*h + 4*h**2 - 6*h**4 to the form y*h**2 + z*h + l*h**3 + s + a*h**4 and give y.
4
Rearrange 3*b**4 + 250*b - 249*b - 4 + 2 to j*b**2 + a*b + k*b**3 + r + d*b**4 and give j.
0
Rearrange (-36*p - 35*p - 63*p)*(-3 - 1 + 2)*(0 - 2 + 3) to k*p + i and give k.
268
Rearrange -46*b**2 - 7*b**2 + b**2 - 11*b**2 to y + | {
"pile_set_name": "DM Mathematics"
} |
195*u - 247).
-390*u - 18
Expand (-4*s - 2*s + 5*s)*(-233164*s - 1 + 15 + 233153*s).
11*s**2 - 14*s
Expand (-5 + 65*g + 38 - 49*g)*(g**4 + 0*g**4 + 0*g**4) + 2*g**5 + 0*g**5 - 3*g**5.
15*g**5 + 33*g**4
Expand (-2*o + 2*o - o**2)*(6 + 1 - 4)*(-1468*o - 1489*o + 2885*o).
216*o**3
Expand (2*p + 2*p - 3*p)*(p + p - 6*p)*(-9 - 7 - 5) - 65*p**2 + 26*p**2 - 59*p**2.
-14*p**2
Expand (0*r - 4*r + 5*r)*(-568 - 193 - 2880 - 2*r - 2693).
-2*r**2 - 6334*r
Expand 3*n - 4*n + 0*n**2 + n**2 + (3 + n - 3)*(-2 + 2 - 2*n) + (-n - n + 4*n)*(4*n - 2*n - 3*n) + 2 - 2 - 6*n**2 + 3*n**2 - 42*n + 42*n.
-6*n**2 - n
Expand ((-j**3 - 3*j**3 + j**3)*(0 - j + 0) + 4481*j**4 + 4848*j**4 - 7358*j**4)*(2 - 4 + 0).
-3948*j**4
Expand (-10*k**5 + 22*k**5 + 15*k**5)*(-8 + 9 + 10 - 5 + 2 + 5 + 0 + 0 - 2 + (2 + 2 - 5)*(-1 - 3 + 3) + 1 + 0 + 0) + (k**3 - k**3 + 2*k**4)*(-k + 0*k + 0*k).
349*k**5
Expand (-3 - 3 + 5)*(3*p + p - 5*p)*(-14333 + 22165*p + 14333).
22165*p**2
Expand -4*i**2 - i**2 + 3*i**2 + (8*i - 7*i + 8*i)*(-48*i + 4*i - 57*i).
-911*i**2
Expand (-21 + 21 - 5*g + (4*g + 0*g - 2*g)*(0 + 3 - 1))*(21*g**2 - 5*g**2 + 13*g**2 + (-4*g**2 + g**2 + g**2)*(6 - 2 - 2) - 2*g**2 - 4*g**2 + 4*g**2).
-23*g**3
Expand 2*q + 0 + 0 + (-8 + 12 + 5)*(-2 - 3*q + 2) + (q - q + 2*q)*(0 - 1 + 2).
-23*q
Expand 3*w**4 + 1913*w + 2*w**3 + 12*w**2 - 1913*w + (3*w + 0*w - w)*(-35*w + 43*w**3 + 35*w).
89*w**4 + 2*w**3 + 12*w**2
Expand (1210 + 42*x - 1210)*(-x + 4*x - x) + 3*x**2 + 8*x**2 - 2*x**2.
93*x**2
Expand (3*l**3 - 4*l**3 - 2*l**3 + (0*l**3 + l**3 + 9*l**3)*(0 + 0 + 5))*(-2 + 4 - 1).
47*l**3
Expand (3*r**5 - r**5 - r**5)*(-32 - 354 + 906).
520*r**5
Expand ((47 - 89*m + 181*m - 90*m)*(-5 - 5*m - 4*m + 7*m) + 8*m**2 + 2*m**2 - m**2)*(-4 + 4 - 1).
-5*m**2 + 104*m + 235
Expand 4*u**5 - 3 + 3 - 177*u**5 + 7*u**2 - 15*u**2 + 8*u**2 + (1 + u**3 - 1)*(-2*u**2 - u**2 + 4*u**2).
-172*u**5
Expand (-1 + 2 + 7*j - 4*j)*(86 - 231 - 69)*((-1 - 4 + 4)*(-3 - 3 + 5) - 4 + 3 + 4).
-2568*j - 856
Expand (12 + 14 + 20)*((b**2 - b**2 - b**2)*(4 + 2*b - 4) + 3*b**3 - 7*b**3 + 2*b**3) + 10 + b**3 - 8 + 2*b**3.
-181*b**3 + 2
Expand -3 - 2*w**3 + 3 + (-12*w**2 + w**2 - 14*w**2)*((0 - 1 + 2)*(0 + 0 - 2*w) + 20*w + 21*w + 8*w).
-1177*w**3
Expand (31 - 89 - 1)*(1 - 1 + 1)*(0*l - 4*l + 2*l).
118*l
Expand (6*b**2 - 6*b - 79959 + 79959 + (4 + 1 - 4)*(4*b**2 + 2*b**2 - 5*b**2) - 4*b**2 - 5*b**2 + 4*b**2)*(33*b - 7*b - 18*b).
16*b**3 - 48*b**2
Expand (1 + 2 - 2)*(-2*i + 3*i + 0*i) + 8 + 2*i - 8 + (-3 + i + 3)*(-9 - 19 - 20).
-45*i
Expand -r**5 + r**3 - r**3 + (2*r + 4*r - 2*r)*(-2 + 1 - 8)*(-67*r**4 - 42*r**3 + 42*r**3).
2411*r**5
Expand (107901*o - 107901*o + 671*o**4 + 0*o**4 + 0*o**4 + o**4 + (o**2 - 2*o**2 + 0*o**2)*(-5*o**2 + 3*o**2 + 4*o**2))*(3*o + 0 + 0).
2010*o**5
Expand (-23*l**2 + 23*l**2 - 9*l**3)*(-636 + 2133 - 467 - 710).
-2880*l**3
Expand (b - 4*b - b)*(-b**2 + 0*b**2 - b**2) - 3*b**3 - b**3 - 5*b**3 + (4 + 19 - 4)*(0*b**2 + 0*b**2 - 2*b**3).
-39*b**3
Expand ((0 - 4 + 2)*(1 - 3 - 2) - 1 + 1 + 2)*(6 - 9*x**4 - 6 - 3*x**4 - 3*x**4 + 5*x**4 + (6*x**2 + 6 - 6)*(-x**2 + 6*x**2 - 4*x**2)).
-40*x**4
Expand (9 - 17 + 31)*(19*p + 15*p - 5*p) + 3*p - 6*p + p + (-1 + 0 + 3)*(-2*p - 3 + 3).
661*p
Expand (-69*b + 21*b**4 + 69*b)*(0 - 1 + 3)*(3*b - b - 3*b)*(246 - 88 - 111).
-1974*b**5
Expand (-205 + 365 + 194)*(o - 3*o + o)*(-o + 2*o - 3*o).
708*o**2
Expand (-5*y - 2*y**3 + 5*y)*(-y**2 + 0*y + 0*y) - 62 + 62 + 7*y**5 + 4*y**5 - 4*y + 4*y + 3*y**5 - y**4 + y**4 + (-5 + 2 + 2)*(5*y**5 + 5*y**5 - 2*y**5).
8*y**5
Expand (30 - 56 + 171)*((-n**2 - 3*n + 3*n)*(0 - 2 + 1) + (24 + 9 + 18)*(n**2 + 0*n**2 - 3*n**2)).
-14645*n**2
Expand 570*m**3 + 63*m**5 - 571*m**3 + 61*m**5 - 21*m**5 + (2*m**4 - 3*m**4 - m**4)*(-m + 2*m - 6*m).
113*m**5 - m**3
Expand 3*u**4 + 4*u - 4*u + (0*u**2 - 7*u**2 - 21*u**2)*(3 - 2*u**2 - 3).
59*u**4
Expand (16*p**4 + 16*p**4 - 53*p**4)*((6 + 5*p - 6)*(1 - 1 + 2) + 2*p - 4*p + p).
-189*p**5
Expand (39*c + 7401 - 342*c - 131*c - 7401)*(6 - 6 - 45*c).
19530*c**2
Expand (-1 - 2 + 1)*(-3*w + 3*w - 2*w**5) + 21991973*w**3 - 1858*w**5 - 21991973*w**3 + w**2.
-1854*w**5 + w**2
Expand (-230 - 522 - 6 + 268 - 738)*(4*r**3 - 8*r**3 - 4*r**3).
9824*r**3
Expand (-2 + 4 - 3)*(2*d**2 - d**2 - 3*d**2) + (-2 - 7 - 1 - 4 + 0 + 3 + (2 + 3 - 4)*(0 + 0 + 1))*(-58 + 3*d**2 + 3 + d - d**2).
-18*d**2 - 10*d + 550
Expand (-2*r**2 + 0*r + 0*r)*(-3*r**2 - 5 + 5)*(-715*r + 1399*r - 690*r - 273).
-36*r**5 - 1638*r**4
Expand (-2*m + 5*m - 2*m)*(-3857*m**2 - 494*m**3 + 498*m**3 + 4*m + 4174*m**2).
4*m**4 + 317*m**3 + 4*m**2
Expand -301*p**5 - 109*p**5 + 200*p**5 + (3*p**2 - 5*p**2 + 0*p**2)*(5*p**3 - 7*p**2 + 7*p**2).
-220*p**5
Expand -4380*w + 150658 - 150658 + (-5 + 2 + 1)*(4*w + w - 3*w).
-4384*w
Expand -63*f - 319*f + 847*f + 1110*f + (-4 + 2 + 0)*(0*f + 4*f - 3*f).
1573*f
Expand (-2 + 2 + 1 + (0 - 3 + 1)*(-5 + 2 + 1) - 2 - 2 + 2)*(2 + 0 + 1)*(c - 8*c**4 - 7*c**2 + 24*c**4 - 18*c**4).
-18*c**4 - 63*c**2 + 9*c
Expand (-6 + 2 - 2)*(3 - 5 + 3)*(-432*f**2 - 74*f - 75*f + 434*f**2).
-12*f**2 + 894*f
Expand 30 - 5711*n + 39 - 113 + 44 + (3*n + 0*n - 4*n)*(2 - 11 + 1).
-5703*n
Expand (-5 - 1 + 3)*(-335*r - 981*r - 976*r)*(0 - 1 + 4).
20628*r
Expand -7*q + 8 + 136 - 46 + (-3 + 2 + 0)*(-4*q + q + 0*q) + 4 - q - 4 + (q - 2*q + 0*q)*(-1 + 2 - 3).
-3*q + 98
Expand (-10*h - 61 + 4*h + 1168 + 1755)*(4 - 2 - 3).
6*h - 2862
Expand (3*t**2 + 0*t**2 - t**2)*(1 - 1 - 1)*(-18 + 1363*t + 18 + 3002*t).
-8730*t**3
Expand (13*z**3 - 34*z**3 + 20*z**3 + 30*z**5)*(-3 + 5 - 3) - 35 + 35 - 22*z**5.
-52*z**5 + z**3
Expand (-l - 4 + 4)*(1127*l - 27*l**2 + 1 - 1127*l)*((-2 + 1 - 4)*(-1 + 2 + 1) - 3 + 4 + 3).
-162*l**3 + 6*l
Expand (4*o - 2*o + 0*o)*(-1 + 1 - 3*o**2) - 20*o**3 + 2 - 4 - 2.
-26*o**3 - 4
Expand (m + 0*m - 2*m)*(m**2 - 2*m**2 + 0*m**2)*(1761*m**2 - 2951*m**2 + 1628*m**2) + (0 + 0 - 2)*(2*m**5 - m**5 - 2*m**5).
440*m**5
Expand (-6*u + 2*u - u)*(3 + 3*u - 3) + (53 - 53 + 116*u)*(4*u + u - 3*u).
217*u**2
Expand (-h**2 - h**2 + 7*h**2)*(-589 - 724 + 1581).
1340*h**2
Expand 57*k**3 + 60*k**3 - 105*k**3 + (2*k**3 - 4*k**3 + k**3)*(4 + 2 - 5) + (3*k + 0*k - 5*k)*(-5*k**2 + 3*k**2 + 3*k**2) + 28 - 46 + 4*k**3 - k**3.
12*k**3 - 18
Expand (4543 + 79*n**2 - 4543)*(-140 - 2*n + 81 + 80).
-158*n**3 + 1659*n**2
Expand (4*c - 10*c + 7*c)*(55 - 55 - 259*c)*(0*c**2 + 2*c**2 + 0*c**2).
-518*c**4
Expand -6*o**5 - 5 + 5 - 62653*o - 9 + 62654*o - 8*o**5 - 3 + o**5 + 0*o**5 + 2*o**5 + (2*o**4 - o**4 - 3*o**4)*(-2 + o + 2).
-13*o**5 + o - 12
Expand (-36*u**3 + 33*u**3 + u - 809 + 424 + u**2)*(-3 + 0 + 5).
-6*u**3 + 2*u**2 + 2*u - 770
Expand -15*i - 11*i + 10*i + (-1 + 3 - 1)*(-5*i + 3*i + 3*i) - 3*i + 2*i - i.
-17*i
Expand (81 + 2*j - 81)*(-18*j + 46*j - 26*j - 8*j**2).
-16*j**3 + 4*j**2
Expand (0*o**4 + 3*o**4 - 2*o**4 + (4 - 4 - 2*o)*(-2*o**2 + o**3 + 2*o**2) + 2 - 2 - o**4)*(-148 - 401 + 1016)*(-o + 3*o + 3*o) - 3*o**5 + 2*o**5 + 3*o**5.
-4668*o**5
Expand ((2*a + 2*a - 3*a)*(1 - 6*a - 1) - 10*a**2 + 11*a**2 - 9*a**2)*(3*a - 6*a + a).
28*a**3
Expand (38*h - 26*h - 26*h)*(-h + h + 2*h) + (-4*h + 0*h + 3*h)*(0 + 0 + 2*h).
-30*h**2
Expand (-13 - 2 - 330*s - 1173*s + 15)*(5*s**4 - 7*s**4 + s**4).
1503*s**5
Expand -2*o**2 + 0*o + 0*o + (-1 - 3 + 3)*(2*o**2 + 2*o**2 - 3*o**2) + 3*o - 3*o - o**2 + 3*o**2 - 7 + 7 + 17*o**2 + 3*o**2 + 21*o**2 - 6*o**2 + 2*o**2 + o**2.
37*o**2
Expand (4538*x**2 - 11481*x**2 - 4030*x**2)*(-3*x**2 + 0 + 0).
32919*x**4
Expand (-2 + 4 + 0)*(-5*o + 4*o - o + (3 + 2 - 3)*(-3*o + 4*o + o) + 883*o + 97*o + 698*o).
3360*o
Expand (-n**2 - 3*n**2 + 5*n**2)*(5 - 1 + 3 + (1 - 1 - 2)*(-4 + 5 - 3) + 20 - 16 + 19).
34*n**2
Expand (386 + 465 - 237)*(-2*q**2 + 0*q**2 - 3*q + q**2 - 1).
-614*q**2 - 1842*q - 614
Expand (19*w**2 + 2*w**3 - 19*w**2)*(1623*w + 454*w + 531*w - 26*w).
5164*w**4
Expand (-j + 4*j - 2*j)*(-8530 - 6974 - 7011).
-22515*j
Expand (-p**4 + 4*p**2 - 4*p**2)*(2 + 2 - 6 + (-1 - 4 + 2)*(1 - 5 + 2))*(-49 + 70 + 22).
-172*p**4
Expand ((-3*r + 0*r + 4*r)*(0 + 4 - 2) - r + 4*r + 0*r + 4*r - 6*r + 0*r)*(-4*r**4 + 12*r**4 + 42*r**4 + r**4 + r**4 - r**4 + (0*r + 0*r + r**4)*(-1 + 3 - 1)).
156*r**5
Expand ((-2 - 2 + 6)*(-1 + 1 - 1) - 2 + 0 + 1 - 1069 + 1491 - 1187)*(3*c**3 - 3*c**3 - 2*c**4).
1536*c**4
Expand (7*t**2 - 21*t**2 + 8*t**2)*(-2317 + 2317 - 5*t* | {
"pile_set_name": "DM Mathematics"
} |
417
Calculate the highest common divisor of 336 and 4602640.
112
Calculate the greatest common factor of 501054968 and 6533.
6533
Calculate the highest common divisor of 28814160 and 240.
240
Calculate the greatest common factor of 2380633098 and 6.
6
What is the greatest common factor of 1635 and 51233379?
327
Calculate the greatest common divisor of 202068 and 324.
108
Calculate the greatest common divisor of 16 and 4257368.
8
What is the greatest common factor of 11630110 and 320?
10
What is the highest common divisor of 409825 and 53675?
25
Calculate the highest common divisor of 14530 and 89330.
10
Calculate the greatest common factor of 61349581 and 309.
103
Calculate the greatest common divisor of 22560 and 2889184.
1504
Calculate the greatest common divisor of 2648 and 4733962.
662
Calculate the greatest common divisor of 31404210 and 5.
5
What is the highest common divisor of 14 and 9863056?
14
What is the greatest common divisor of 36920 and 2649720?
2840
What is the highest common divisor of 4842927 and 123093?
423
Calculate the greatest common factor of 26441 and 32011173.
193
Calculate the highest common divisor of 656417332 and 20512.
2564
Calculate the highest common divisor of 2743892 and 44.
4
What is the highest common factor of 16722 and 9719198?
1858
What is the highest common divisor of 28112 and 141520?
16
Calculate the greatest common factor of 706644 and 2592.
324
Calculate the highest common divisor of 1318002 and 3381.
147
Calculate the highest common factor of 138992323 and 34.
17
Calculate the greatest common divisor of 132 and 201624324.
132
Calculate the highest common divisor of 441186525 and 117.
117
Calculate the highest common divisor of 70 and 6041710.
10
What is the highest common divisor of 97956 and 12447668?
3628
What is the highest common divisor of 84 and 5491150?
14
What is the highest common divisor of 3893 and 79854361?
229
Calculate the greatest common divisor of 263780 and 1044220.
2180
What is the highest common divisor of 44874 and 171186?
1662
What is the greatest common divisor of 183467394 and 65909?
3877
What is the greatest common divisor of 31242 and 294339?
123
Calculate the highest common factor of 3229506 and 28.
14
Calculate the highest common factor of 379290 and 4633542.
282
What is the greatest common divisor of 8500 and 11810?
10
Calculate the highest common divisor of 1145 and 179052352.
229
Calculate the highest common divisor of 950 and 5321862.
38
Calculate the greatest common divisor of 29900 and 7293300.
2300
Calculate the highest common divisor of 130 and 1699844510.
130
Calculate the greatest common factor of 76214366 and 34.
34
Calculate the highest common factor of 6579213 and 9.
3
What is the highest common divisor of 131261722 and 257?
257
What is the highest common divisor of 14280896 and 672?
224
Calculate the highest common factor of 195 and 15048345.
195
What is the greatest common divisor of 8511765 and 15?
15
Calculate the highest common divisor of 71487 and 177660.
423
Calculate the greatest common factor of 103872 and 31080.
24
What is the greatest common divisor of 72186 and 124338?
318
Calculate the greatest common divisor of 24748 and 1024328.
92
What is the greatest common divisor of 3985763834 and 26?
26
Calculate the greatest common factor of 414 and 3401082.
18
Calculate the greatest common divisor of 3956 and 637733.
43
Calculate the highest common divisor of 53952 and 8440512.
192
Calculate the highest common divisor of 212 and 73704079.
53
What is the greatest common divisor of 37200 and 460425?
75
What is the highest common factor of 15232 and 4652781?
119
What is the greatest common factor of 2052132750 and 1629?
1629
What is the highest common divisor of 59234 and 119?
7
Calculate the highest common factor of 112 and 1492043.
7
Calculate the greatest common factor of 847633 and 1184851.
1147
What is the greatest common divisor of 190203 and 4602?
39
What is the highest common factor of 118048 and 6008296?
1736
What is the greatest common factor of 653107038 and 3183?
3183
What is the highest common factor of 606 and 36222?
6
What is the greatest common divisor of 234 and 4683406?
26
Calculate the greatest common divisor of 110201 and 15889185.
2249
Calculate the greatest common factor of 42 and 60379494.
42
Calculate the highest common divisor of 7375117 and 18104.
2263
What is the highest common divisor of 2079277540 and 38?
38
Calculate the highest common factor of 2969425 and 388475.
1025
Calculate the greatest common divisor of 1168 and 23566006.
146
Calculate the highest common divisor of 3468575 and 22.
11
Calculate the highest common factor of 727483445 and 230.
115
Calculate the greatest common factor of 5208 and 5030277.
651
What is the highest common divisor of 21529960 and 440?
40
Calculate the highest common factor of 227997434 and 9268.
4634
Calculate the highest common factor of 8095 and 7542921.
1619
What is the greatest common divisor of 10655 and 10117988?
2131
Calculate the highest common factor of 201993 and 99.
33
What is the greatest common factor of 109539833 and 3224?
403
Calculate the highest common divisor of 89667540 and 30.
30
What is the highest common factor of 13 and 142812098?
13
Calculate the highest common factor of 14768 and 226096.
208
What is the greatest common divisor of 659451240 and 19152?
9576
Calculate the greatest common divisor of 18992232 and 8064.
504
Calculate the highest common factor of 2856 and 24461776.
136
What is the highest common factor of 33223284 and 27?
27
Calculate the highest common divisor of 4150 and 8481575.
25
What is the greatest common divisor of 13728 and 708312?
264
What is the highest common factor of 427 and 6558293?
427
Calculate the highest common divisor of 1310195 and 5405.
115
What is the greatest common divisor of 78908316 and 156?
12
Calculate the greatest common divisor of 251965 and 30107.
161
Calculate the highest common divisor of 438482 and 32908.
38
Calculate the greatest common divisor of 612 and 121608.
36
Calculate the greatest common divisor of 490802 and 3951.
439
What is the greatest common factor of 4078204 and 25480?
52
Calculate the highest common factor of 308 and 17622803.
11
What is the greatest common factor of 37303405 and 790?
395
Calculate the highest common divisor of 469650 and 1089285.
1515
Calculate the highest common divisor of 6431412 and 104.
52
Calculate the highest common factor of 18103481 and 2123.
11
What is the greatest common divisor of 687776366 and 194?
194
What is the greatest common factor of 14203546 and 14?
14
What is the highest common factor of 20114768 and 7600?
304
What is the greatest common factor of 413560 and 680?
40
Calculate the greatest common factor of 2635660 and 920.
20
Calculate the highest common divisor of 40030675 and 100.
25
What is the greatest common factor of 1246 and 22978910?
178
What is the highest common divisor of 64792 and 625937?
1157
Calculate the highest common divisor of 1296 and 101771640.
648
What is the highest common factor of 1198381 and 35639?
157
Calculate the highest common factor of 123 and 911837376.
123
What is the greatest common divisor of 249379328 and 110?
22
Calculate the greatest common divisor of 46 and 5993179.
23
What is the greatest common factor of 94435 and 48620?
935
Calculate the highest common factor of 2429168 and 786094.
1058
What is the highest common factor of 120312 and 1501672?
4456
What is the greatest common factor of 56766 and 6342?
6
What is the highest common divisor of 2649571 and 45193?
1051
What is the greatest common factor of 51003364 and 4?
4
What is the greatest common factor of 923668 and 9916?
148
Calculate the greatest common divisor of 1214 and 71238127.
607
Calculate the highest common divisor of 70476580 and 20.
20
What is the greatest common factor of 430805358 and 166?
166
What is the highest common factor of 84227 and 3887?
13
What is the greatest common divisor of 15446908 and 13616?
148
Calculate the greatest common factor of 73220 and 178343.
523
What is the highest common divisor of 69647718 and 49?
49
What is the greatest common factor of 15400 and 22528?
88
What is the highest common factor of 1380696 and 27744?
24
Calculate the highest co | {
"pile_set_name": "DM Mathematics"
} |
est common divisor of g and q.
10
Suppose 2*u - 10 = 0, -5*r - 233 = -3*u + 147. Let d = 1169 - r. Calculate the highest common divisor of d and 54.
54
Let p be (448/20)/((-3)/(-45)). Let l = p - 258. Calculate the highest common factor of 18 and l.
6
Suppose -88*g = -90*g + 2604. Let s be g/155 + (-2)/5. Calculate the highest common factor of 5 and s.
1
Let r = 19405 - 11962. Calculate the greatest common factor of r and 9.
9
Suppose -41*a + 228 = -5635. Suppose 0 = -3*k - 2*z + 33, -2*z - 17 - 15 = -2*k. What is the greatest common factor of a and k?
13
Let b be (1 - (-1275)/45)*30. Calculate the highest common factor of b and 792.
88
Suppose 228*m + 20*m = -108*m + 12591364. What is the greatest common divisor of 113 and m?
113
Let y = -9 + 14. Suppose -y*l = -v - 36, l - 10 = 10*v - 7*v. Let u be 112/l*9/4. What is the highest common divisor of 90 and u?
18
Let w = -80254 + 80275. Suppose 0 = -3*l - l + 448. What is the greatest common factor of w and l?
7
Let i(b) = -7*b + 9. Let q(f) = -4*f**2 + 49*f - 18. Let k be q(12). Let c be i(k). Calculate the greatest common divisor of c and 68.
17
Let i = 4525 + -4501. What is the highest common divisor of 1032 and i?
24
Suppose -3*i = 119 - 434. Suppose -62 = -2*y + y. Suppose 0 = 3*r + g - i, -2*r = -g - g - y. Calculate the greatest common divisor of r and 374.
34
Suppose 0 = -5*a + 5, x + 10 + 17 = -3*a. Let q be (4 - 1626/x) + (-1)/5. What is the highest common divisor of q and 377?
29
Let i(a) = 2*a**2 - 9*a + 0*a**2 - a**2. Suppose r = -3*d + 4*r - 24, -r - 4 = 3*d. Let x be i(d). What is the highest common factor of x and 9?
9
Let q(x) = x**2 + x - 3. Let o be q(5). Suppose -7 = -5*u - 36618*l + 36616*l, -24 = -4*u + 3*l. What is the highest common divisor of u and o?
3
Suppose -4*w + 2*t = 252 + 20, 0 = 5*w - 5*t + 345. Suppose 45 + 310 = 5*o. Let f = w + o. What is the greatest common divisor of 4 and f?
4
Let v be (2/4)/(2/(0 - -264)). Suppose -8*n = -v + 10. Let h be (n/(-2))/((-3)/6). What is the highest common factor of h and 49?
7
Let k(d) = 93*d + 38. Let p be k(1). Let o = p + 57. Calculate the highest common divisor of 4 and o.
4
Suppose -3*g + 12 - 15 = 0. Let r be 28 + -27 - g*601. Calculate the highest common divisor of r and 14.
14
Let s be ((-7)/98*-7)/((-2)/4). Let i be (1 + s + 13)*(-3 - -4). What is the highest common factor of 221 and i?
13
Let q be 5 - (-94 - (-108)/12) - 8. What is the highest common factor of q and 14801?
41
Let u be 188/14 - (-216)/378. Suppose 5*r + 4 = u, -d + 2*r = -104. What is the greatest common divisor of d and 81?
27
Suppose j - 4*y = -9*j + 3280, -984 = -3*j + 3*y. Calculate the highest common factor of j and 902.
82
Let n(l) = 5*l + 85. Let f be n(-17). Let d = 66 + f. Calculate the highest common divisor of d and 6.
6
Suppose -b = 2*g - 2356, -7 + 2 = -g. Calculate the greatest common divisor of b and 483.
69
Let j be 98/(-10) - 24/120. Let u be ((-1358)/35)/(4/j). Suppose -3*x + 377 = 6*f - 2*f, f - 2*x - u = 0. Calculate the greatest common factor of f and 19.
19
Let q(c) = -6*c + 2. Let u be q(0). Let h be 26 + 5 + u + -10. What is the greatest common factor of h and 69?
23
Let n = -643 + 661. Suppose -43 = d - 124. Calculate the highest common factor of n and d.
9
Suppose 2*h + 12 - 38 = 0. Suppose -2*i + 1 + h = 0. Suppose 3*k - t = 29, -i*k = -2*k + t - 51. What is the highest common divisor of 10 and k?
10
Let f(t) = 153*t + 185. Let p be f(-1). Calculate the greatest common factor of p and 84.
4
Suppose 4*h + 10 = -h, 2*d - 2*h = 1250. Calculate the highest common factor of 63 and d.
7
Let h = -494 - -504. Let y be (12 - h/(-6))/((-1)/(-6)). Calculate the greatest common divisor of y and 2.
2
Suppose -44*a + 1211 + 901 = 0. Let m(j) = 6*j. Let s be m(8). Calculate the greatest common divisor of a and s.
48
Let p(v) = -4*v**2 + 11*v + 43. Let q be p(-3). Let a be (-176)/1*(q + 24). What is the highest common divisor of a and 22?
22
Suppose -s - 4*s = -105. Suppose -8*d + 7*d = 80. Let j = d - -87. Calculate the highest common factor of j and s.
7
Let p(z) = 12*z - 449. Let i be p(40). Calculate the highest common divisor of 31 and i.
31
Let t(f) = 3*f + 44 + 3 + 6*f + 21 + 4. Let h be t(-6). Suppose -6*x + 2*x - 16 = 0, -5*x - 38 = -3*q. What is the highest common divisor of h and q?
6
Suppose 0 = 5*i + 26 + 114. Let z be (-1504)/(-282)*54/8. Let v = z + i. What is the highest common factor of v and 12?
4
Suppose -16*n + 13*n = -5*q + 2924, 2903 = 5*q + 4*n. Calculate the highest common factor of q and 5989.
53
Suppose 241*c - 153*c = 1322200. What is the highest common factor of c and 25?
25
Let n be 12/(-3)*1 - -45. Let b = 28 - n. Let k(g) = -10*g - 25. Let i be k(b). Calculate the highest common divisor of i and 42.
21
Suppose 522 = 3*h - 72. Suppose -d = d - h. Let n be -2*(55/(-10) + 0). Calculate the greatest common divisor of d and n.
11
Let x(t) = t**3 + 3*t**2 - 3*t + 112. Let c be x(0). Calculate the greatest common factor of c and 4816.
112
Let c = 37 + -34. Suppose -c*d + g - 121 + 12 = 0, g = -4*d - 143. Let p be 2/(((-56)/d)/7). What is the greatest common factor of 171 and p?
9
Let q be ((-18)/4)/(6/808). Let n = -592 - q. Let c = 16 + 47. Calculate the greatest common factor of c and n.
7
Let h(v) = v**3 - 20*v**2 - 15*v - 35. Suppose -f - 59 = -3*u + 3*f, -2*u + 43 = f. Let k be h(u). Calculate the highest common factor of k and 13.
13
Let q = 6448 - 5952. What is the greatest common factor of 72 and q?
8
Let i = 611 + -609. Suppose i*o + 1588 = 4*r, -2*r + 882 = -2*o + 86. Calculate the greatest common divisor of r and 22.
22
Let g = 107 - 7. Suppose 10 - 1 = -3*r, r + 786 = -3*j. Let v = -241 - j. What is the greatest common factor of v and g?
20
Let j(d) = d + 7. Let b be j(-6). Let s be b*12/(-15) + (-2)/10. Let l be (s/(-2))/((-3)/6) - -28. What is the greatest common factor of l and 108?
27
Let u(f) be the first derivative of f**2 + 18*f + 21. Let n be u(-11). Let t = n - -33. Calculate the greatest common factor of t and 145.
29
Let c(g) = g**3 - 9*g**2 - 3*g + 33. Let l be c(9). Let j(b) = 2*b + 24. Let s = -90 + 90. Let r be j(s). Calculate the greatest common divisor of r and l.
6
Let u(y) = y**2 + 37*y + 500. Let a be u(-26). What is the greatest common factor of a and 2675?
107
Let w be -4 - (2025 - 62)/(-1*(-2)/(-6)). Calculate the greatest common factor of w and 165.
55
Let l(v) = 23*v**2 - 62*v - 55. Let n be l(9). Calculate the greatest common divisor of 150 and n.
50
Let t(p) be the second derivative of -11*p**5/20 + p**4/12 - 2*p**2 - 2*p - 22. Let y be t(-2). Let u = 7 - -1. What is the highest common divisor of y and u?
8
Let c(u) = u**3 - 28*u**2 + 59*u + 36. Let z be c(26). Suppose -z + 704 = 6*w. Let i be 9/(((-5)/6)/(-5)). Calculate the greatest common divisor of w and i.
27
Let a(t) = -11*t + 4 - 4 - 6. Let j be a(-6). Let p be 24*-1*(-2 + 1). What is the greatest common divisor of j and p?
12
Let k(b) = 40*b**2 - 110*b + 112. Let o be k(1). Let t(n) = 72*n + 8. Let h be t(3). Calculate the highest common factor of h and o.
14
Suppose -2*f + 376 + 388 = 2*q, 0 = 5*q. Calculate the highest common factor of 2 and f.
2
Suppose 5*y = -m + 20, -9*m - 87 + 67 = 5*y. What is the highest common factor of y and 1255?
5
Suppose 0 = 5*d - 12*v + 15*v - 2588, -2*d + 1016 = -2*v. Calculate the highest common factor of 12593 and d.
257
Let b(h) = 5*h - 61. Let m be (-2 + -1)*96/(-18). Let f be b(m). Let o(v) = 208*v + 1. Let k be o(1). What is the highest common divisor of f and k?
19
Suppose 4*f - 36 = -2*b, -f + 74 = -b + 4*b. Suppose -s + 159 = 2*g, 2*g - s - 3*s - 144 = 0. Calculate the greatest common factor of b and g.
26
Suppose 46*h = 43*h + 4*n + 308, 5*h - 455 = -5*n. Calculate the highest common factor of h and 3.
3
Suppose -46603 = -31*v - 29*v + 68717. What is the greatest common divisor of v and 310?
62
Suppose -5360 + 31024 = -133*k + 162255. Calculate the greatest common factor of k and 711.
79
Let a(l) = -l + 11. Let j be a(6). Suppose -j*x + 0*x + 2169 = -4*m, -2*m - 1101 = 3*x. Let k be m/30*1*-5. Calculate the highest common factor of k and 13.
13
Suppose 6466*m - 462 = 6433*m. Let q(y) = 2*y**2 + 5*y + 7. Let k be q(-8). Suppose -2*v + k = -73. What is the greatest common fact | {
"pile_set_name": "DM Mathematics"
} |
v.
-4
Solve 4 = i + 4*t - 15, 0 = 5*i - 5*t + 5 for i.
3
Solve 3*w - 21 = -3*t, -5*w - t = 2*t - 27 for w.
3
Solve -3*v = 3*c - 15, 3*v + 17 = -5*c + 32 for v.
5
Solve 5*r - 4*i = 28, 0*i = -i - 2 for r.
4
Solve -5*s - 9*u = -12*u + 14, -3*s = -2*u + 8 for s.
-4
Solve 0 = 2*v - 2*n + 2, 5*v = 2*n + 3 + 7 for v.
4
Solve -3*w = t - 14, -14*t = 2*w - 15*t - 6 for w.
4
Solve -j - 4*y = 2, 6*j + 4*y + 14 = 11*j for j.
2
Solve -5*n + 5*g = -10, 3*g = -5*n - 2*g + 40 for n.
5
Solve 0 = 4*a + 5*m + 5, 0*m + 5 = 4*a + 3*m for a.
5
Solve -4*i + 0*i = 4*v, -3*v - 4*i + 5 = 0 for v.
-5
Solve 3*s = 3*j + 18, -4*j - 10 = j for s.
4
Solve -13 = -4*b - g, b + 5 = 2*b + 2*g for b.
3
Solve 0 = o - 0 + 1, -5*l + 29 = -4*o for l.
5
Solve -3*n - y - 1 = 0, -y = n - 2*y + 3 for n.
-1
Solve 3*r + 2 = -2*x + 9, r + 4*x - 19 = 0 for r.
-1
Solve -4*m + 24 = 33*w - 37*w, -3*w - 22 = -5*m for m.
2
Solve 0 = 2*u + 3*q - 21, 0 = -5*u - 46*q + 44*q + 25 for u.
3
Solve -5*t = -3*a + 7, 5*a - 12*t + 15*t = 23 for a.
4
Solve -3*v + 5*m = -6*v + 24, 4*v - m = 9 for v.
3
Solve 2*i = -4*l - 22, -2*i + 4 = -5*l - 10 for l.
-4
Solve -2*j = n + 9 - 16, 0 = 4*j - 3*n + 1 for j.
2
Solve 3 = -t, 3*t - 465 + 473 = -n for n.
1
Solve 0 = 5*h + 8*m - 10*m + 10, 0 = -2*h + m - 3 for h.
-4
Solve -4*o = 3*z - 6, -2*o = 3*z - o + 3 for z.
-2
Solve 2*o = 4*a + 4 + 4, o = 0 for a.
-2
Solve 3*f + 2*a - 12 = 0, 5*f - 15 = 19*a - 24*a for f.
6
Solve -5*i = -2*s - 4, -2*i = 2*s + 6 - 2 for s.
-2
Solve 5*y - 10 = -5*n, 9*y + 4*n - 2 = 8*y for y.
2
Solve 3*d + 5*z + 0*z = -26, -2*d + 2*z + 4 = 0 for d.
-2
Solve w + 3*a = 6 + 8, 3*a - 2 = 5*w for w.
2
Solve 4*v + 21 = -5*h, -3*h - 10*v = -12*v + 17 for h.
-5
Solve -3*o - 2*h = h, 0 = -3*o + 3*h for o.
0
Solve -6 = -5*y + 5*s + 19, 3*y = 5*s + 23 for y.
1
Solve d - p - 34 = -41, -3*p = 3*d - 3 for d.
-3
Solve 18*k + w + 1 = 23*k, -4*w + 20 = 4*k for k.
1
Solve -5*n - 7 = -4*p, 18 = 3*n - 35*p + 40*p for n.
1
Solve 15 = 3*u, -4 = -0*o + o - u for o.
1
Solve 0 = -d - 3*z - 10, -z = 4*d - 2*d + 10 for d.
-4
Solve -4*a - 18 = -3*s, 1 = -3*a + 2*a - s for a.
-3
Solve 2*t = 4, 2*m - 16 = -2*t - 3*t for m.
3
Solve 5*g = -4*c - 10, 5*c + 67 = g + 40 for g.
2
Solve 0 = 4*g - 3*l - 6, -218*g = -214*g - 5*l - 2 for g.
3
Solve 5*b = -2*k + 20, k - 3 + 4 = 3*b for b.
2
Solve -12*l + 7*l - 2*y = 9, 4*y = l - 7 for l.
-1
Solve 17 = -4*i - 3*s + 4, 0 = -4*s - 12 for i.
-1
Solve 2*a + a = 2*h - 15, 4*h - 18 = 2*a for a.
-3
Solve -o + 4 = v - 0*o, 3*v + 12 = 3*o for v.
0
Solve 3*h + 13 = -4*g, 14*h - 15*h - 2 = -g for h.
-3
Solve 8*g - 17*g - 27 = 4*j, 4*g = 4*j - 12 for j.
0
Solve 2*r - r - 7 = -3*l, 5*r - 2*l - 18 = 0 for r.
4
Solve 3*d - 5*a - 31 = -d, 0 = 3*d - a - 15 for d.
4
Solve 5*k = k - 5*b + 2, -1 = 3*k + 5*b for k.
3
Solve -3*c - 11 = 2*v, -2*c - 3 = -5*v - 2 for c.
-3
Solve 0*l = -2*l + 2*d - 4, 0 = -4*l - 2*d + 10 for l.
1
Solve 4 = -n + 1, n + 2 = h for h.
-1
Solve 2*r + 2*r + j + 12 = 0, 2*r - 2*j + 16 = 0 for r.
-4
Solve 0 = -2*h + 3*s - 5, 5*h - 5*s = h - 11 for h.
-4
Solve -g - 2*m = 3, 4*g + 3*m = -1 + 4 for g.
3
Solve -5*u = 2*o + 14, 4*o + 14 = -3*u - 0 for o.
-2
Solve 5*n + 4 = 2*p, 2 = 2*p - 2 for n.
0
Solve 0 = -5*u - 5*a - 5, u + 3 = -u - 3*a for u.
0
Solve 3*r - 20 = -4*q + 4*r, -2*r - 4 = q for q.
4
Solve -2*j + 8*a - 11*a + 17 = 0, -10 = -2*a for j.
1
Solve 5*p = -15, -4*b + 5*p = 1 - 0 for b.
-4
Solve 0 = 3*i - 3*m, -4*m = 2*i - 6 + 30 for i.
-4
Solve -8 = -9*r + 6*r - n, r + 3*n = 16 for r.
1
Solve 2*v + 19 = 3*w, -714*v + 711*v = -w + 11 for v.
-2
Solve -2*h = -z + 3, -z + 6*z - 15 = 5*h for z.
3
Solve -x + 4 = -v + 5*v, -4*x = -v + 1 for v.
1
Solve 0 = -226*q + 221*q - d - 19, -5*q + 3*d - 23 = 0 for q.
-4
Solve 9 = 639*c - 640*c - 2*w, -4*c - w = 15 for c.
-3
Solve -5*c = -3*v - 19, -5*v - c = -2*c - 5 for v.
2
Solve -7 = 5*y + 4*m, -2*y + m = -0*y + 8 for y.
-3
Solve d + 3 = h, -h = -25*d + 29*d - 8 for d.
1
Solve 0*t = -5*t + z + 1, -3*z - 3 = -2*t for t.
0
Solve 0 = -2*i + 8, 4*u = -0*u + 5*i - 32 for u.
-3
Solve -2*w - 2 = 0, -3*x + 3*w = 5*w - 1 for x.
1
Solve 7*o = 12*o + 2*d - 12, 3*o = -3*d for o.
4
Solve -4*a = -2*a - 4, 0 = 2*y + 4*a for y.
-4
Solve -4*h = -3*p - 3, 6*h + 3*p + 27 = 2*h for h.
-3
Solve -5*y + 4*u = -13, 3*y + 2*u = 4*y + 1 for y.
5
Solve 0 = d - u + 1, -3*u + 5 - 3 = -4*d for d.
1
Solve 0 = -2*y - 5*g - 13, -2*y - 16*g + 21*g = 3 for y.
-4
Solve 6*m - 3*m + 15 = 0, r + 4*m + 26 = 0 for r.
-6
Solve -6*f + f = -2*w, -4*w = -4*f - 12 for f.
2
Solve -5*g - 4*p = 23, -117 = 2*p - 113 for g.
-3
Solve 3*r + 0*i = -5*i, 5*i = -4*r - 5 for r.
-5
Solve -2*k - 7*t + 2*t = 20, 0 = 5*k + 3*t + 31 for k.
-5
Solve 4*k = -d + 7, -6*d + 2*d = -k - 11 for k.
1
Solve 4*u - 2*g - 12 = 0, -106*g = -102*g + 16 for u.
1
Solve -3*x - 20 = 2*h, 0 = 2*h - 5*x + 1 - 13 for h.
-4
Solve -14 = -4*f + 2*k, 0 = -36*f + 33*f - 4*k + 5 for f.
3
Solve -t - 4*t = 3*c + 1, 2*c - 4 = -t for c.
3
Solve -4*z = 4*n - 20, -1 = 56*z - 57*z + n for z.
3
Solve 3*z - 12 = 3*k, 3*k - 18*z + 4 = -19*z for k.
-2
Solve 4*y + 20 = x + 7, -20 = 5*y - 5*x for y.
-3
Solve -4*t - 4 = 8*o - 10*o, o + 5*t + 19 = 0 for o.
-4
Solve 0 = 5*p + h, 3*p + 3*h - 14 = h for p.
-2
Solve 5*r = -2*a + 23, 2*r + 3 - 13 = -a for a.
4
Solve -2 = q, -2*u - 2*u - 22 = 5*q for u.
-3
Solve 4*h + 2*c + 12 = 0, -4*h - 3*c - 14 = h for h.
-4
Solve -o - 9 = -4*n + 6, n + 2*o - 15 = 0 for n.
5
Solve 4*j - z - 24 = -j, z + 9 = 2*j for j.
5
Solve 0 = 5*y - 4*c - 8, -y - 67*c = -66*c + 2 for y.
0
Solve 2*f - 1 = -0*f + 3*l, 4*f = -l + 23 for f.
5
Solve q + 11 = 4*t - 2, -5*t = -5*q - 35 for t.
2
Solve h = -5*i, -3*i + 4*h = -4*i - 19 for i.
1
Solve -4*k + 15 = -4*j - 1, 3*k = -3*j - 12 for k.
0
Solve 3*q = 4*h - 73 + 81, -3*q = -5*h - 10 for h.
-2
Solve -2*c - 3 = 2*u - 1, -u + 1 = -c for c.
-1
Solve 2 = -5*j + m, -4*j - 13*m + 18*m = 10 for j.
0
Solve d - 3*x = 13, 32 = 5*d + 3*x - 7*x for d.
4
Solve -5*s + 5 - 4 = 3*r, -2*s = -4 for r.
-3
Solve z = -3*r - 23 + 16, 3*z + 4*r + 16 = 0 for z.
-4
Solve -3*z - 2 = b, 4*z - 5*b - 3 = -12 for z.
-1
Solve t = q - 4, q - 5*t = -2*q + 16 for q.
2
Solve 7 = 2*i - 4*r - 9, 2*r + 32 = 4*i for i.
8
Solve 0 = -4*g + 5*x - x - 12, g - 3*x = 1 for g.
-5
Solve 4 = 5*f - 2*j, 62 - 64 = -4*f + j for f.
0
Solve -4*k - j - 1 = 0, -4 = 3*k - 5*k + 4*j for k.
0
Solve 3*q = 4*p + 28 - 5, q = 5 for p.
-2
Solve -10 = -5*k + 3*o, 0 = -15*k + 20*k - 2*o - 10 for k.
2
Solve 0 = 3*c + 4*r - 10, c - 4*r + 14 = -4 for c.
-2
Solve -3*k - 5 = -2*m, 2*k - 11 = 3*m - 6 for m.
-5
Solve 0 = 5*u - k + 12, 6*k = -3*u + 10*k + 3 for u.
-3
Solve 4*k = -5*q + 22, 4*q + 6*k = 4*k + 14 for q.
2
Solve 5*l + b - 31 = 4*b, l + 1 = -3*b for l.
5
Solve -19*a + 4*y + 41 = -24*a, -4*a - 2*y - 28 = 0 for a.
-5
Solve -4*h + 2 + 3 = -i, -4*i = h + 20 for i.
-5
Solve -4*b + 8*b = -5*p - 21, 11 = 5*p - 4*b for p.
-1
Solve -5*o = 4*i - 5, 4*i = -o + 1 - 0 for o.
1
Solve -2*r - 3*r - 4*i - 37 = 0, 4*i = 5*r + 13 for r.
-5
Solve 4*a + 2 - 10 = 4*v, -3*v = a + 10 for v.
-3
Solve 0 = 2*s + 3*c - 13, -6*s + s + 19 = 3*c for s.
2
Solve -2*o + 3*j + 17 = 0, 0 = -4*o - 5*j + 10*j + 31 for o.
4
Solve -a = -o - 0*o - 4, -a = 3*o + 12 for a.
0
Solve 0 = 2*u - i, 4*i - 12 = -u - 3*u for u.
1
Solve -s + 0*l - 30 = -5*l, -3*s + 3*l - 30 = 0 for s.
-5
Solve -2*f - 25*m + 23*m = 0, 12 = 5*f + m for f.
3
Solve -s - 3 + 4 = -b, 2*s = 3*b - 1 for b.
3
Solve -4*u + 5*w - 9 = 4, -2*w + 12 = -5*u for u.
-2
Solve -v = -4*b - 4*v + 5, -2*v + 5 = b for b.
-1
Solve g = n + 1, 4*g + 5*n + 15 = -g for g.
-1
Solve -4*p = 5*g - 9, 4*g - 17 - 11 = 2*p for g.
5
Solve -17 = 3*o - 2*i, 5*i - 28 = i for o.
-1
Solve 3*l + 26 = -l - 5*p, -3*p + 10 = -4*l for l.
-4
Solve 4*q + b - 7 = 0, -8*b + 7*b = -q + 8 for q.
3
Solve -2*b - 22 = -k - 8, -9 = b - k for b.
-5
Solve 2*w + 20 = -4*u, 9*u - 2 = 5*w + 7*u for w.
-2
Solve 5*x = 4*o + 10, 5*o - 10 = 7*o for x.
-2
Solve f + 2*f = -5*r + 32, -16 = -4*r for f.
4
Solve -7*n = -5*n + 8, -2*n = 2*r + 8 for r.
0
Solve -2*y = 2*z - 8, 2*z = 9*y - 8*y - 7 for y.
5
Solve 4*t - 3*t = -4*r + 19, -2*r - 2*t + 8 = 0 for r.
5
Solve -4*w = -9*y + 13*y, 0 = -4*y + 12 for w.
-3
Solve -2*n + 12 = 0, u - 33 = -5*n - 8 for u.
-5
Solve -3*v + 2*b - 23 = 0, v - 4*b = -v - 26 for v.
-5
Solve 10*d - 8*d - 2* | {
"pile_set_name": "DM Mathematics"
} |
ing order.
3, 2, -0.5, -4, -21
Sort 1, 5, 4 in ascending order.
1, 4, 5
Sort 0, 5, 0.4 in decreasing order.
5, 0.4, 0
Sort -5, -1, 30, -4 in increasing order.
-5, -4, -1, 30
Put 0.3, 1, -3402/11 in increasing order.
-3402/11, 0.3, 1
Put 255, 0, -3, 3 in increasing order.
-3, 0, 3, 255
Sort -9, -4, 0, -11.
-11, -9, -4, 0
Sort -2, 164, 5/6 in descending order.
164, 5/6, -2
Put 0.161, -0.2, -2/5 in descending order.
0.161, -0.2, -2/5
Sort 2, 4, 3 in descending order.
4, 3, 2
Sort 2, 203, 4 in increasing order.
2, 4, 203
Sort 0.3, -5, -2/3, -28 in increasing order.
-28, -5, -2/3, 0.3
Sort -5, 9, -1/6.
-5, -1/6, 9
Put 4/2295, 3, -0.5 in increasing order.
-0.5, 4/2295, 3
Put 11, -4/5, 9 in descending order.
11, 9, -4/5
Sort 1/5, -0.4, -2, 6, -4/7.
-2, -4/7, -0.4, 1/5, 6
Put -3, 186, -4 in increasing order.
-4, -3, 186
Put -3, -4, 13, -0.1 in descending order.
13, -0.1, -3, -4
Put 5, -115, -4, -5 in ascending order.
-115, -5, -4, 5
Sort 0, -26, 3 in descending order.
3, 0, -26
Sort 0, -1/4, 7, 0.4 in ascending order.
-1/4, 0, 0.4, 7
Sort 8, 3, -1, 2, -3 in decreasing order.
8, 3, 2, -1, -3
Sort -2/3, -5, -383, 0.1, -2/5 in descending order.
0.1, -2/5, -2/3, -5, -383
Put 2/13, -1/7, -39, 5 in ascending order.
-39, -1/7, 2/13, 5
Sort -1/18, -2/13, -0.4.
-0.4, -2/13, -1/18
Sort -7, 2, 20, -4.
-7, -4, 2, 20
Sort -5, -57, -2, 5 in decreasing order.
5, -2, -5, -57
Sort -3, 17, -6 in ascending order.
-6, -3, 17
Sort 0.2, -15/4, 3, -2/51 in decreasing order.
3, 0.2, -2/51, -15/4
Sort 0.35, -0.21, 1, 1/3 in ascending order.
-0.21, 1/3, 0.35, 1
Sort 3, 1, -194 in ascending order.
-194, 1, 3
Sort 43, 2, 12.
2, 12, 43
Sort 9, 3, -2, -4.
-4, -2, 3, 9
Put -3, 2, -593 in increasing order.
-593, -3, 2
Sort -0.19, 0.02, -5 in increasing order.
-5, -0.19, 0.02
Sort -17, 3, -730 in decreasing order.
3, -17, -730
Put 3, 0, -3, -0.3, 0.37 in descending order.
3, 0.37, 0, -0.3, -3
Put 5, 12, -4, 4, 3 in descending order.
12, 5, 4, 3, -4
Sort 9, -0.2, 11, 0.4.
-0.2, 0.4, 9, 11
Sort 7, 0.1, -2, 2, 0.7.
-2, 0.1, 0.7, 2, 7
Put -5, -10, 0, 2/3, -0.05 in ascending order.
-10, -5, -0.05, 0, 2/3
Sort 4, 2, 3, 1 in increasing order.
1, 2, 3, 4
Put 3/8, 0.01, -5, 2 in decreasing order.
2, 3/8, 0.01, -5
Sort -6, -0.4, 4/15 in decreasing order.
4/15, -0.4, -6
Put -3, 0, -4, 46, -1 in decreasing order.
46, 0, -1, -3, -4
Put 2, 57, -6 in decreasing order.
57, 2, -6
Sort -4, -2/15, 5/32, -5, 3 in decreasing order.
3, 5/32, -2/15, -4, -5
Sort -15, 2, -5, 5, -3 in decreasing order.
5, 2, -3, -5, -15
Sort -2/5, 2/97, -1, -1/4, 1 in descending order.
1, 2/97, -1/4, -2/5, -1
Put 5, -147, 3 in increasing order.
-147, 3, 5
Sort -0.4, -0.2, -23, 4 in increasing order.
-23, -0.4, -0.2, 4
Sort 2, 3, 23, -2 in decreasing order.
23, 3, 2, -2
Put -4, 2, 1483 in increasing order.
-4, 2, 1483
Put -4, -2/5, -1, -9 in ascending order.
-9, -4, -1, -2/5
Sort 0, -1, -0.5, 127.
-1, -0.5, 0, 127
Sort -1/6, 0.4, 0, -4, 1 in increasing order.
-4, -1/6, 0, 0.4, 1
Put 20/9, -8, -1/3, 1/4, 3 in descending order.
3, 20/9, 1/4, -1/3, -8
Sort 1, 11, 3, -3.
-3, 1, 3, 11
Sort 3/4, 0.3, 2/5, 10, -86 in increasing order.
-86, 0.3, 2/5, 3/4, 10
Sort 0.4, -1.6, 3/2, -5 in decreasing order.
3/2, 0.4, -1.6, -5
Put -0.04, 0.16, 3, 1/5 in descending order.
3, 1/5, 0.16, -0.04
Put 0, -1/4, -3/8 in decreasing order.
0, -1/4, -3/8
Sort -8, 0, -2, -1, 5.
-8, -2, -1, 0, 5
Put -3, 2, 259, 0 in increasing order.
-3, 0, 2, 259
Put -0.052, 0.8, 8, 3 in increasing order.
-0.052, 0.8, 3, 8
Sort 1, 2, 5, -3, -44 in increasing order.
-44, -3, 1, 2, 5
Sort -1, -4, 39, 0, -2 in descending order.
39, 0, -1, -2, -4
Put 5, 61, -2, -1, 0.08 in descending order.
61, 5, 0.08, -1, -2
Put -33, 3, 75 in descending order.
75, 3, -33
Sort -5, -2/11, -0.04, 0.3.
-5, -2/11, -0.04, 0.3
Sort -95, 4, -2, 1, 3.
-95, -2, 1, 3, 4
Sort 5, -1, -19, 0, -4.
-19, -4, -1, 0, 5
Sort 2/3, 5, -25, 4/9, -0.5.
-25, -0.5, 4/9, 2/3, 5
Put -0.1, 2, -1/2, 2/17 in increasing order.
-1/2, -0.1, 2/17, 2
Sort -5, -2, -6 in decreasing order.
-2, -5, -6
Put 7, -5, 88, 0, 2 in increasing order.
-5, 0, 2, 7, 88
Sort -5, 1/5, -0.09, -0.02 in descending order.
1/5, -0.02, -0.09, -5
Sort 42, 3/5, -0.1 in increasing order.
-0.1, 3/5, 42
Sort -1/34, -2, -1/9 in ascending order.
-2, -1/9, -1/34
Sort -4, -3, -5, -1.
-5, -4, -3, -1
Put 7, -5, -0.028 in descending order.
7, -0.028, -5
Sort -2, 1, -6, -5 in decreasing order.
1, -2, -5, -6
Put -7, 0.3, -5, -2/7 in decreasing order.
0.3, -2/7, -5, -7
Sort 4, -120, 5, 1 in decreasing order.
5, 4, 1, -120
Put 41, 0, 1, -5, 5 in increasing order.
-5, 0, 1, 5, 41
Put -19, -220, 5, 3 in ascending order.
-220, -19, 3, 5
Put 0.16, -2/7, -2/19, -4, 4.4 in decreasing order.
4.4, 0.16, -2/19, -2/7, -4
Sort 43/3, 2/7, -17 in ascending order.
-17, 2/7, 43/3
Sort -2, 32, 3, -1 in descending order.
32, 3, -1, -2
Sort 2, -4, -2.
-4, -2, 2
Put 5, -1, -1120, 1 in ascending order.
-1120, -1, 1, 5
Sort -1, -2, 197 in decreasing order.
197, -1, -2
Put 1/3, -1/24, 3/7 in ascending order.
-1/24, 1/3, 3/7
Put 0.3, 4/9, 2, -1 in increasing order.
-1, 0.3, 4/9, 2
Sort 12, -1, -2, 4/5, -1/4 in descending order.
12, 4/5, -1/4, -1, -2
Sort 5, -3, 4, 6, 2.
-3, 2, 4, 5, 6
Sort 2, -6, 49 in increasing order.
-6, 2, 49
Sort 1/2, -615, -0.4, 2/9 in increasing order.
-615, -0.4, 2/9, 1/2
Put -1/6, -474, -1/3 in descending order.
-1/6, -1/3, -474
Sort 7, 5, 0, -7 in decreasing order.
7, 5, 0, -7
Sort -4/3, 0.4, 2/13 in descending order.
0.4, 2/13, -4/3
Sort 0.5, 1/3, 1/4, 3 in decreasing order.
3, 0.5, 1/3, 1/4
Sort -3, 1, 0.2, -271 in descending order.
1, 0.2, -3, -271
Put -1, -41, 3, 1 in ascending order.
-41, -1, 1, 3
Sort -9, 3, -0.1, 2/15 in decreasing order.
3, 2/15, -0.1, -9
Sort 8, 2/169, 1/4, 3 in descending order.
8, 3, 1/4, 2/169
Sort 4, -3, -4, -1 in ascending order.
-4, -3, -1, 4
Put -2, 3, 32, -3/2, -1 in ascending order.
-2, -3/2, -1, 3, 32
Sort -0.1, 0.1, 284.
-0.1, 0.1, 284
Sort -0.322, 0.3, -1/6, 1, -2/9 in descending order.
1, 0.3, -1/6, -2/9, -0.322
Put 5, -0.1, 39 in decreasing order.
39, 5, -0.1
Put 3, -4, 8 in descending order.
8, 3, -4
Sort -1, -3, -5.
-5, -3, -1
Put -0.5, -4/7, 4, -0.4 in decreasing order.
4, -0.4, -0.5, -4/7
Sort 2187, 4, 0 in ascending order.
0, 4, 2187
Sort -15, 2, 3/8, -7 in ascending order.
-15, -7, 3/8, 2
Put -32, -3/7, -1/2, -3/4 in descending order.
-3/7, -1/2, -3/4, -32
Sort 70, 2/13, 1, 0.2 in decreasing order.
70, 1, 0.2, 2/13
Put 24/5, -24, -1/4 in descending order.
24/5, -1/4, -24
Sort 1, 0, 5, -1, 101 in increasing order.
-1, 0, 1, 5, 101
Sort 366, -2, -5.
-5, -2, 366
Sort -0.1, 0, 17, 4/9.
-0.1, 0, 4/9, 17
Put -0.4, -2/7, 1/21 in decreasing order.
1/21, -2/7, -0.4
Sort -1/7, 1/451, 5.
-1/7, 1/451, 5
Put 5, 28, -1 in ascending order.
-1, 5, 28
Put -17, -20, -4 in descending order.
-4, -17, -20
Sort 0, 575, 3, 4 in decreasing order.
575, 4, 3, 0
Put 5, -517, 0, 4, -2 in descending order.
5, 4, 0, -2, -517
Sort -8, 1, 3.
-8, 1, 3
Sort 5, -5, 49 in decreasing order.
49, 5, -5
Sort -59, -2, 5.
-59, -2, 5
Put -5, 5, -262 in increasing order.
-262, -5, 5
Sort -130.1, -0.5, 3 in increasing order.
-130.1, -0.5, 3
Put -3, 0.03, 5, 1 in ascending order.
-3, 0.03, 1, 5
Sort 3, -9, 0, 5 in increasing order.
-9, 0, 3, 5
Sort 3, -1, -80, -8 in decreasing order.
3, -1, -8, -80
Put -18, 5, -0.1, 1 in descending order.
5, 1, -0.1, -18
Put 4, -0.728, -2 in increasing order.
-2, -0.728, 4
Sort 0.2, 0.5, 0.179, 1 in increasing order.
0.179, 0.2, 0.5, 1
Put -2, -65, -43 in decreasing order.
-2, -43, -65
Put 5, -72, -3 in descending order.
5, -3, -72
Sort 10, 3, 5, -1, 4.
-1, 3, 4, 5, 10
Sort 36/7, 0.3, -3, 1 in ascending order.
-3, 0.3, 1, 36/7
Put 0.5, -3/7, 0, 3, -5 in decreasing order.
3, 0.5, 0, -3/7, -5
Put -4, -3, -159 in descending order.
-3, -4, -159
Sort -12, 1, -1, -17, -4.
-17, -12, -4, -1, 1
Sort 5, 46, -2 in decreasing order.
46, 5, -2
Put -0.01, 3, 4, -3, -0.3 in decreasing order.
4, 3, -0.01, -0.3, -3
Put -2/13, 1/5, 1/6 in increasing order.
-2/13, 1/6, 1/5
Sort 7, 2, -5, -2/35 in decreasing order.
7, 2, -2/35, -5
Sort 5, 0.4, -0.09 in decreasing order.
5, 0.4, -0.09
Sort -5/7, -2/17, 0 in descending order.
0, -2/17, -5/7
Put 2, -5, 183 in increasing order.
-5, 2, 183
Put 3, 2/5, 1/5, -20 in ascending order.
-20, 1/5, 2/5, | {
"pile_set_name": "DM Mathematics"
} |
culate the remainder when 14 is divided by n.
6
Suppose -a + 9 = 4*i, 3*a - 3*i - 16 = -4*i. Suppose -2*g + 1 = 5*f - 1, 3*g - 53 = a*f. Calculate the remainder when 43 is divided by g.
10
Let c(q) = -19*q - 6. Calculate the remainder when c(-4) is divided by 18.
16
Let r = -51 - -55. Calculate the remainder when 15 is divided by r.
3
Suppose -5*m + 130 = -0*m. Calculate the remainder when 77 is divided by m.
25
Suppose -3*q + 2 = -1. Suppose 4*h = 3*u - 3 - 38, 5*h = -u + q. What is the remainder when u is divided by 15*(-1)/(5/(-2))?
5
Suppose 29 = 4*i - 7. Let w = 18 - 12. Calculate the remainder when i is divided by w.
3
Suppose -3*i = -21 - 0. What is the remainder when 26 is divided by i?
5
Let z(f) be the first derivative of f**3/3 + 11*f**2/2 + 13*f - 7. What is the remainder when 25 is divided by z(-11)?
12
Suppose -6*h + 2*h + 40 = 0. What is the remainder when 67 is divided by ((-115)/h)/(1/(-2))?
21
Let i = -25 + 70. What is the remainder when i is divided by 12?
9
Suppose 5 - 13 = -4*i. Calculate the remainder when 15 is divided by (i/2)/((-2)/(-12)).
3
Suppose 14*g = 13*g + 14. What is the remainder when 41 is divided by g?
13
What is the remainder when ((-6)/(-18))/(1/(-3))*-43 is divided by 22?
21
Calculate the remainder when 13 is divided by 3 + (-4)/16*-4.
1
Let b be 23 - 1/(1/2). Suppose 0 = -2*s + b + 1. Let c(t) = -2*t + 4. Calculate the remainder when c(-8) is divided by s.
9
Suppose 0 = -2*n - 2*n - 32. Let z = -39 - n. Let v = 58 + z. What is the remainder when v is divided by 14?
13
Suppose 2 = 4*b - 5*d - 189, 0 = -5*b - 3*d + 211. What is the remainder when b is divided by 15?
14
Let f(i) = 6*i + 5*i - 3 - i**2 - 7*i. Suppose 3*j = d - 14, 7 - 1 = 5*d + j. What is the remainder when d is divided by f(2)?
0
Suppose -8 = -2*t + 2*z, 7 = -5*z + 22. Let q = -1 + -2. What is the remainder when -4*15/(q*1) is divided by t?
6
Let c = 31 - 13. Let m = -14 + c. What is the remainder when 15 is divided by m?
3
Suppose -j = -11 + 3. Let k(x) = -x**2 - 9*x - 8. Let m be k(-8). Suppose -a + 26 + 5 = m. Calculate the remainder when a is divided by j.
7
Let n(p) = p**2 - 10*p + 5. Let u be n(9). Let z = -56 - -80. Calculate the remainder when z is divided by (-570)/(-42) - u/(-7).
11
Let a(t) = t**3 + 6*t**2 + 3*t + 3. Let f be a(-5). Let i be (-8)/20 - 6/(-15). Suppose -g = -i*g - f. What is the remainder when g is divided by 5?
3
What is the remainder when 42 is divided by 1 + 13 + -12 + 9?
9
Suppose -5*w = -0*w - 40. Suppose -5*v = -w - 17. Suppose -96 = -v*i + 19. What is the remainder when i is divided by 12?
11
Let j(s) = 0*s + s**2 + 5 - s + 3*s. Let v be j(-4). Let f = -8 + v. What is the remainder when f is divided by 2?
1
Suppose 0 = -2*j + 8*j - 162. Calculate the remainder when j is divided by 7.
6
Let r(p) = -p**3 - 7*p**2 - 9*p - 27. What is the remainder when r(-8) is divided by 39?
31
Suppose -5*n = 4*f - 349, -261 = f - 4*f - 3*n. What is the remainder when f is divided by 9?
5
Let d = 11 + -53. Calculate the remainder when 15 is divided by (-348)/d - (-6)/(-21).
7
Suppose 0 = 6*u - u + 75. Let l be (-3)/u - (-778)/10. Suppose -5*g = -d - l, 110 = 4*g - 3*d + 41. What is the remainder when 28 is divided by g?
13
Let a be ((-3)/(-6))/((-2)/(-20)). Let q(p) be the second derivative of p**4/12 - p**3/3 + p**2/2 - 6*p. Calculate the remainder when 30 is divided by q(a).
14
Suppose d - 35 = 25. Suppose 2*g = -g + d. Suppose -22 = -5*x + 13. What is the remainder when g is divided by x?
6
Suppose 0 = 12*y - 10*y - 4*m - 36, 4*y + 5*m - 98 = 0. What is the remainder when 60 is divided by y?
16
Let x = 9 + -6. Suppose -25 + 16 = -3*t. Calculate the remainder when t is divided by x.
0
Let f = 12 - -8. Calculate the remainder when 55 is divided by f.
15
Let r be 3 + (3 - (2 + 0)). Suppose 2*q - 3*b = 26, -r*q - 2*b + 52 = -4*b. Let a = 18 + -11. Calculate the remainder when q is divided by a.
6
Suppose 5*c - 2*c = 12. Suppose -4*m = -3*p - 61, 4*m + 2*p + p - 43 = 0. Calculate the remainder when m is divided by c.
1
Suppose -8*v + 12*v - 20 = 0. Let s = v + 4. What is the remainder when 25 is divided by s?
7
Let c = -47 + 52. Suppose -3*h + 67 = 10. What is the remainder when h is divided by c?
4
Let n be ((-1)/(-1))/(1 + -2). Suppose 0 = -2*k + 34 - 8. What is the remainder when (1/(-2))/(n/74) is divided by k?
11
Calculate the remainder when (-4)/(-4)*16 - 2 is divided by 6.
2
Suppose -2 = -2*p + 8. Suppose 5*w = -2*i + i + 13, 3*i = -p*w + 9. What is the remainder when 28 is divided by 2 + -2 + 12 + i?
8
Suppose -39 + 12 = 3*y. Let g = 51 - 29. What is the remainder when g is divided by 20 + y + (2 - 1)?
10
Let f(n) = 4*n - 7. What is the remainder when 76 is divided by f(5)?
11
Let b be 1*4 + (0 - -1). Suppose -v = -b*v + 100. What is the remainder when v is divided by 13?
12
Suppose 0*s + 216 = 3*s. Calculate the remainder when s is divided by 19.
15
Let v = 18 + 12. Let d = -10 - -18. What is the remainder when v is divided by d?
6
Suppose -4 = 5*m - 19. Suppose -u + m*u - 26 = 0. What is the remainder when 37 is divided by u?
11
Let m = -138 + 173. What is the remainder when 99 is divided by m?
29
Let d(m) = 2*m + 28. Let x be d(-12). Suppose j = -2*u + 5, 0 = -7*u + 2*u + x*j + 6. What is the remainder when 4 is divided by u?
0
Let f(d) = -14*d**3 + 2*d**2 + 1. Let t be f(-2). Calculate the remainder when 22/t + (-1030)/(-22) is divided by 12.
11
Let z(x) = x + 11. Calculate the remainder when 17 is divided by z(-4).
3
Let x(r) = -2*r**3 + 27*r**2 - 3*r - 5. Let n(s) = -s**3 + 14*s**2 - s - 3. Let v(y) = -11*n(y) + 6*x(y). What is the remainder when v(5) is divided by 11?
10
Calculate the remainder when 2/(-5) + 4584/60 is divided by 21.
13
Suppose 144 = 15*b - 6*b. Calculate the remainder when 62 is divided by b.
14
Let b(v) = -v**2 + 6*v + 31. What is the remainder when 5 is divided by b(9)?
1
Let r(m) = -3*m - 8. What is the remainder when 18 is divided by r(-6)?
8
Suppose 5*o - 2*x - 10 = 10, -5*x = -3*o - 7. Suppose 4*i + 8 = 0, -3*f = -4*f + 4*i + 10. What is the remainder when o is divided by 3/(f + -4 + 3)?
0
Suppose -28 = -0*x - x + 3*k, 3*x = 2*k + 49. What is the remainder when 63 is divided by x?
11
Let v = -62 + 92. Calculate the remainder when 148 is divided by v.
28
Let o(r) = 7*r - 15. Calculate the remainder when 79 is divided by o(6).
25
Calculate the remainder when 22 is divided by (-2)/((-6)/(-1)) - 10/(-3).
1
Suppose -33 = -r + 12. Suppose 0 = 4*y + w - 36, -5*y - w + r = 2*w. What is the remainder when y is divided by 5?
4
Suppose 7*d - 4*d - 3*p = 30, 3*p = -2*d + 35. Suppose -5*s + d = -f, s - 9 = -3*f - 0*f. What is the remainder when 16 is divided by s + -2 + 5/1?
4
Suppose 0 = 5*c - 3*c - 2*f, 0 = -5*c - 5*f + 10. What is the remainder when 11 is divided by c?
0
Suppose x - 3*t = 31, 5*x - t - 48 = 37. Calculate the remainder when 30/8*(-72)/(-6) is divided by x.
13
Suppose 4*z + 20 = 3*y - 0, 4*y + 2*z + 10 = 0. Suppose y*c - 34 = -2*c. Suppose -3*m - 165 = -8*m. Calculate the remainder when m is divided by c.
16
Let i = 32 - 21. What is the remainder when i is divided by (7 + -2 - -2) + -1?
5
Let k be -1 + -3 + 6 + -1. Calculate the remainder when 2 - -24 - (k - 0) is divided by 13.
12
Let s = 2 + 4. Suppose 3*i - s*i = -48. What is the remainder when 63 is divided by i?
15
Let m(h) = -h**3 - 4*h**2 - 6*h - 3. Calculate the remainder when 14 is divided by m(-3).
2
Let n = -27 - -54. Calculate the remainder when 53 is divided by n.
26
Let z(f) = -f**3 - 3*f**2 - 5*f - 4. Calculate the remainder when (-211)/(-4) + 1/4 is divided by z(-3).
9
Let w(p) = -488*p**3 - p + 1. Let b be w(1). What is the remainder when 93 is divided by (-4)/10 - b/20?
21
Suppose -4*j - 7 = -27. Let a = j - -19. Calculate the remainder when a is divided by 17/2 - 2/(-4).
6
Suppose -5*f + 15 = -0*f. Let a(o) = o**3 - o**2 - o. What is the remainder when 28 is divided by a(f)?
13
Suppose 4*r + 3*a - 75 = 0, a - 81 = -2*r - 2*r. Calculate the remainder when 83 is divided by r.
20
Suppose -5*y - 5*t + 102 = -y, -3*y + 2*t = -88. Let z be (-1)/((-1)/62) + 0. What is the remainder when y is divided by z/4 - 2/4?
13
Suppose n + n = -2*v + 38, 4*v = n + 91. Suppose 5*p = 68 - 398. Let w = p + 109. What is the remainder | {
"pile_set_name": "DM Mathematics"
} |
smaller: 1 or -159/18559?
-159/18559
Which is bigger: -27 or 313/6?
313/6
Is 210052 != 210052?
False
Is -1 less than or equal to -28/9721?
True
Which is bigger: 63/87638 or -1?
63/87638
Are 35989 and 15 unequal?
True
Which is smaller: 1 or 2/1443847?
2/1443847
Is 9.819 bigger than 3?
True
Are 0.562068 and 1/4 unequal?
True
Which is smaller: -90 or -0.145?
-90
Is 0.4 at most 1611.8?
True
Is 256 at most 91?
False
Is -64.7 at most as big as 29?
True
Is -34.2 < 577?
True
Is 499565 greater than 5?
True
Which is smaller: -47313 or -47312?
-47313
Which is bigger: -11/841 or 2/5?
2/5
Is 20834 equal to 20832?
False
Which is greater: 1/537100 or 0?
1/537100
Which is greater: 0 or 6/4415?
6/4415
Which is smaller: 855 or 854?
854
Which is smaller: -1 or -11/12744?
-1
Is 2356 greater than 19?
True
Which is bigger: 66262/9 or 7361?
66262/9
Which is smaller: -555 or -9436/17?
-9436/17
Which is smaller: 83 or 46827?
83
Is 129/1553 > 1?
False
Are -219386 and -219384 unequal?
True
Which is smaller: 109878 or 109872?
109872
Is 18078 greater than 0?
True
Is -885332 at most as big as -885330?
True
Is 37733 smaller than 37726?
False
Does -13/23105 = -1?
False
Which is smaller: 3/600773 or 1?
3/600773
Is 58835/6 <= 9807?
True
Which is greater: 0.06 or 17765?
17765
Which is greater: 349474 or 349473?
349474
Which is smaller: -1155 or 3.65?
-1155
Which is bigger: -728 or -12371/17?
-12371/17
Do -1717716 and -1717716 have different values?
False
Which is smaller: 24348/943 or 25?
25
Are 28155 and 9 equal?
False
Which is smaller: -643553 or 0.3?
-643553
Which is smaller: -16615/8 or -2078?
-2078
Is -2316/5 <= -1/3?
True
Which is greater: 43659 or 43658?
43659
Which is smaller: -69/64786 or 0?
-69/64786
Is 1/7556 bigger than 1?
False
Do -2763/10 and 1 have the same value?
False
Which is greater: -54/71173 or 0?
0
Is 0.0130689 not equal to 0.2?
True
Is -2/3 at most -137009?
False
Is -100796/9 at least as big as -11199?
False
Which is greater: -2/2955787 or 0?
0
Which is bigger: 17 or -0.2558?
17
Which is smaller: -103873 or -103872?
-103873
Is 203/7131 > 0?
True
Is -1/1914 at least as big as 1?
False
Which is greater: -14590/117 or -126?
-14590/117
Is 220 at most as big as -14.29?
False
Which is smaller: 259 or 0.13?
0.13
Which is smaller: -2968 or -2967?
-2968
Are -4773/29 and -166 nonequal?
True
Is -10307103 > -10307103?
False
Is -1 >= 38/35833?
False
Is -97212 < -97214?
False
Which is smaller: 13/4 or -3423/8?
-3423/8
Is 9155 smaller than 9114?
False
Which is smaller: -747 or -744?
-747
Which is bigger: -3706766 or -3706767?
-3706766
Which is greater: 30452 or 30453?
30453
Are 248/1273 and 0 equal?
False
Is 1 at least as big as 3388/5107?
True
Which is greater: 5 or 109958?
109958
Which is greater: 1/1225175 or 1?
1
Which is smaller: -147 or 94.75?
-147
Is -1 != -4/59375?
True
Is -171 < -1188/7?
True
Is 286198 > 286198?
False
Is 540 >= 472?
True
Which is bigger: -206062 or -206067?
-206062
Are -12/29447 and 0 nonequal?
True
Which is smaller: -62118 or -62124?
-62124
Is 26 greater than -2044?
True
Which is smaller: -899789 or -899786?
-899789
Which is smaller: 1209193 or 1209191?
1209191
Is 0 > -175/11122?
True
Is 763 != 754?
True
Does -85 = -1?
False
Which is smaller: 292/1609 or -1?
-1
Which is smaller: -2/9 or 12122?
-2/9
Are 93771 and 93770 non-equal?
True
Which is smaller: 48752 or 48755?
48752
Which is bigger: -9/4 or -2885?
-9/4
Is -840/739 less than 0?
True
Which is smaller: -7436 or -7440?
-7440
Is 18826 at most 18808?
False
Are -12 and 2845 nonequal?
True
Is -145.8 greater than -0.0415?
False
Which is smaller: -7 or -529/91?
-7
Is 1/1243965 at most -1?
False
Which is smaller: -229 or -3223/14?
-3223/14
Which is smaller: 27157/106 or 256?
256
Which is smaller: 1281468/7 or 183066?
183066
Do 12690 and 12688 have the same value?
False
Is -0.129 greater than -3687?
True
Is 3615 != 3615?
False
Is -446958/7 greater than -4/3?
False
Is -175569 greater than -175568?
False
Which is smaller: -427 or -2357?
-2357
Which is smaller: -78 or -138.9?
-138.9
Is 2623 at most as big as 2713?
True
Which is bigger: -16545 or -16544?
-16544
Is 247/118 at least 2?
True
Which is smaller: 0.006 or 1/2024?
1/2024
Is 91119 less than or equal to 1549038/17?
True
Is 0 < 5/6628?
True
Which is smaller: -142949/12 or -11911?
-142949/12
Is -2.940347 greater than -1/2?
False
Is 0.4 != -217163?
True
Which is bigger: 8.6398 or 0.8?
8.6398
Does -16017 = -15987?
False
Which is smaller: -620 or -628?
-628
Which is smaller: 265 or -33?
-33
Is -418688 smaller than -418688?
False
Which is smaller: -1 or 12/28459?
-1
Are -1 and 2/74265 nonequal?
True
Is 11396 greater than 11427?
False
Which is greater: -8926 or 0?
0
Which is bigger: -48186 or 0.3?
0.3
Is -6576 less than -6568?
True
Is 44492/25 less than or equal to 1780?
True
Is -1 equal to 1/3052415?
False
Which is bigger: 4452.6 or 0.096?
4452.6
Is -0.13475 > 2/27?
False
Is -2184/2113 >= 0?
False
Which is smaller: -1242 or -1355?
-1355
Which is smaller: 7492 or 7478?
7478
Are 0 and -33/1763 nonequal?
True
Which is bigger: 216 or -147?
216
Is 177364 > 13?
True
Which is bigger: 27490 or 86?
27490
Are 1 and -221/24976 equal?
False
Which is bigger: -647 or 39?
39
Which is smaller: -19866 or -19867?
-19867
Does 42396 = -28?
False
Which is bigger: -0.21 or -0.1506?
-0.1506
Which is smaller: -54/324781 or 1?
-54/324781
Which is smaller: -12/14135 or -1?
-1
Is -34392 >= -1?
False
Is 660 at least as big as 630?
True
Is -6758 smaller than 1/6?
True
Does 1.938 = -3/8?
False
Is -1 at most as big as -87/118?
True
Is -3058209 <= -3058207?
True
Is -0.05 at most as big as -4892.74?
False
Is -116/27251 > 0?
False
Is 163315 <= 163315?
True
Is 1 > 29/17341?
True
Is 0 equal to -1/27664?
False
Is -639 > -632?
False
Is -663 > -751?
True
Do -1 and 16451 have the same value?
False
Is -290 <= 1743?
True
Is 5/7359 >= 1/36?
False
Is 402/131 greater than 3?
True
Is -0.5 smaller than 504/137?
True
Which is bigger: 0.1 or 21/817?
0.1
Is 1 bigger than 6/161801?
True
Is 15447 greater than 15424?
True
Which is smaller: -278 or 0.0501?
-278
Is 140311 at most 140311?
True
Is 1864 at most as big as -32?
False
Is -1 >= -1/246919?
False
Which is greater: 4621/67 or 70?
70
Which is bigger: 425613 or 425612?
425613
Is 1151 at most 6901/6?
False
Which is bigger: -110771 or -110759?
-110759
Which is smaller: -76/9 or 265?
-76/9
Is 0 greater than or equal to 1547389?
False
Is -242353 less than or equal to -242356?
False
Which is smaller: -7211 or -2/5?
-7211
Which is smaller: 1442 or 1468?
1442
Which is smaller: -81 or -1.377?
-81
Is 5843/4 less than -1.6?
False
Which is bigger: -562 or -853?
-562
Are 3.014 and -6 nonequal?
True
Which is bigger: -6/32401 or -1?
-6/32401
Is 13.2 at least 278?
False
Which is bigger: 97/4298 or 1?
1
Which is bigger: 801332 or -1?
801332
Which is bigger: -0.08 or 57247?
57247
Which is smaller: 333 or -39?
-39
Which is bigger: 0 or -2/191621?
0
Is 2632 bigger than 583?
True
Is -0.6924 smaller than 703/2?
True
Which is bigger: -527 or -806?
-527
Is -9 > -593/64?
True
Which is bigger: 1.267 or 784?
784
Are 86901 and 86901 nonequal?
False
Is 16.7 >= 0.006?
True
Is -2/7256929 <= 1?
True
Which is smaller: 3 or -36.641?
-36.641
Is 1164872 greater than 1164873?
False
Which is smaller: -0.2 or 0.2503716?
-0.2
Is 44495 greater than or equal to 44499?
False
Is -4 greater than 1949.8?
False
Which is smaller: -344 or -337?
-344
Which is smaller: 17197/118 or 147?
17197/118
Is -1 < 2/18072305?
True
Is 0.2 < -185094.5?
False
Which is bigger: 1 or -24/4919?
1
Which is bigger: -1 or -7/688872?
-7/688872
Which is smaller: 8/18893 or -2?
-2
Which is bigger: -1012 or -1019?
-1012
Which is smaller: -111 or 532?
-111
Is 9/15178 less than or equal to 1?
True
Is 0 greater than -2/12074733?
True
Is -31665 != -2/9?
True
Which is smaller: 496 or 650?
496
Is -1385821 >= -1385821?
True
Are 15888 and 15886 non-equal?
True
Which is greater: -347 or -1737/5?
-347
Which is smaller: -7946 or -7929?
-7946
Is -3/770779 equal to -1?
False
Which is greater: 93833 or 93831?
93833
Do -0.236 and -1066 have the same value?
False
Is -4734 at least as big as -4734?
True
Which is smaller: -577 or 420/11?
-577
Does 224967 = -1?
False
Is 5173446 at least as big as 5173447?
False
Is 290104/9 <= 32235?
Tru | {
"pile_set_name": "DM Mathematics"
} |
8 and 3.
18
Find the common denominator of -26/1393 and 27/199.
1393
What is the common denominator of -63/416 and -91/16?
416
What is the common denominator of -2/4563 and 53/30?
45630
Find the common denominator of 50/567 and -101/840.
22680
Find the common denominator of 18/7 and -79/3352.
23464
Calculate the common denominator of -61/40 and 19/1090.
4360
What is the smallest common multiple of 394 and 4?
788
Calculate the common denominator of 77/6 and 91/230.
690
Calculate the lowest common multiple of 748 and 1360.
14960
Calculate the lowest common multiple of 1930 and 22.
21230
Find the common denominator of -101/552 and -85/1288.
3864
What is the least common multiple of 456 and 96?
1824
Calculate the lowest common multiple of 12 and 3396.
3396
Calculate the common denominator of -89/330 and 23/55.
330
What is the least common multiple of 104 and 208?
208
What is the common denominator of 77/320 and -163/672?
6720
What is the common denominator of -27/92 and -23/18?
828
Calculate the common denominator of 131/18 and 71/800.
7200
Find the common denominator of 49/18 and 19/3526.
31734
Calculate the common denominator of 32/247 and 27/143.
2717
What is the common denominator of 71/532 and 97/190?
2660
What is the common denominator of 28/45 and -25/81?
405
Calculate the lowest common multiple of 288 and 2368.
21312
What is the least common multiple of 2238 and 4?
4476
What is the common denominator of -93/3544 and -31/8?
3544
Calculate the least common multiple of 6 and 10.
30
What is the common denominator of 13/864 and -143/70?
30240
Calculate the lowest common multiple of 55372 and 18.
498348
Calculate the common denominator of -107/190 and 94/585.
22230
What is the common denominator of 103/224 and -101/18?
2016
What is the least common multiple of 6392 and 20?
31960
Calculate the common denominator of -131/18 and -61/10.
90
Find the common denominator of -139/282 and 31/24.
1128
Calculate the common denominator of 109/1008 and -107/896.
8064
Calculate the least common multiple of 42 and 168.
168
What is the least common multiple of 76 and 14?
532
Calculate the common denominator of 47/147 and 47/147.
147
What is the least common multiple of 12 and 4989?
19956
What is the common denominator of -89/1342 and -73/122?
1342
Find the common denominator of -5/111 and 52/1137.
42069
What is the common denominator of 10/2453 and -26/1115?
12265
Find the common denominator of -25/112 and -25/24.
336
What is the lowest common multiple of 10 and 530?
530
Calculate the common denominator of -49/24 and -79/44.
264
What is the lowest common multiple of 8 and 2382?
9528
What is the common denominator of 91/6 and -17/15908?
47724
What is the common denominator of 22/153 and 14/221?
1989
What is the lowest common multiple of 4 and 19?
76
Calculate the common denominator of 57/680 and 8/935.
7480
Calculate the lowest common multiple of 396 and 220.
1980
What is the common denominator of 57/154 and 41/126?
1386
What is the common denominator of -7/3 and -83/180?
180
Find the common denominator of -13/1792 and 9/32.
1792
Calculate the lowest common multiple of 98 and 126.
882
Calculate the smallest common multiple of 78 and 54.
702
Find the common denominator of -3/8 and -89/5636.
11272
What is the smallest common multiple of 301 and 56?
2408
Calculate the common denominator of 37/180 and -53/1215.
4860
Find the common denominator of -157/78 and -59/20.
780
What is the smallest common multiple of 24 and 18?
72
Calculate the common denominator of -163/30 and -143/4908.
24540
Find the common denominator of 13/90 and -3/4.
180
What is the common denominator of -23/104 and 133/130?
520
What is the common denominator of 14/3 and 73/387?
387
Calculate the common denominator of -73/3 and -47/51.
51
Calculate the least common multiple of 250 and 50.
250
What is the smallest common multiple of 938 and 2948?
20636
Calculate the common denominator of 37/86 and -31/28.
1204
What is the common denominator of 85/154 and 43/66?
462
What is the common denominator of 125/1968 and -95/6888?
13776
What is the smallest common multiple of 114 and 418?
1254
What is the least common multiple of 2 and 3678?
3678
What is the common denominator of 15/248 and -33/124?
248
Calculate the smallest common multiple of 49494 and 6.
49494
What is the smallest common multiple of 408 and 6256?
18768
What is the smallest common multiple of 55 and 455?
5005
What is the least common multiple of 201 and 2747?
8241
Find the common denominator of 79/22 and 23/110.
110
Calculate the smallest common multiple of 51 and 60.
1020
Calculate the least common multiple of 20 and 4.
20
Find the common denominator of -149/180 and -23/20.
180
Calculate the smallest common multiple of 9 and 245.
2205
What is the smallest common multiple of 2140 and 3?
6420
Calculate the common denominator of 109/3484 and 79/44.
38324
Calculate the smallest common multiple of 1950 and 350.
13650
What is the least common multiple of 8 and 534?
2136
Calculate the common denominator of -1/3149 and -44/5.
15745
What is the smallest common multiple of 158 and 5?
790
What is the lowest common multiple of 94 and 18?
846
What is the common denominator of 51/458 and 13/56?
12824
Find the common denominator of 43/40 and 139/24.
120
What is the common denominator of 37/12 and -59/162?
324
What is the lowest common multiple of 108 and 9?
108
What is the lowest common multiple of 9 and 69?
207
Find the common denominator of -89/322 and -3.
322
What is the common denominator of 11/18 and -119/636?
1908
What is the common denominator of 35/22 and -57/166?
1826
What is the common denominator of -47/451 and -67/615?
6765
Calculate the common denominator of -8/113 and -40/9.
1017
What is the least common multiple of 21 and 2838?
19866
Calculate the least common multiple of 18 and 18.
18
What is the lowest common multiple of 1359 and 4681?
42129
What is the common denominator of -13/3879 and -49/90?
38790
What is the common denominator of 21/16 and 111/20?
80
What is the common denominator of -139/30 and -27/11?
330
What is the smallest common multiple of 49 and 63?
441
What is the common denominator of -137/12 and -31/12?
12
Calculate the common denominator of 7/108 and 92/15.
540
What is the least common multiple of 8750 and 10?
8750
Find the common denominator of -131/66 and 1/110.
330
What is the lowest common multiple of 249 and 24?
1992
Find the common denominator of 97/1800 and -85/36.
1800
What is the common denominator of 7/132 and -109/924?
924
Calculate the least common multiple of 378 and 7686.
23058
What is the common denominator of -73/111 and 4/2701?
8103
What is the common denominator of 113/110 and -37/110?
110
What is the lowest common multiple of 15 and 483?
2415
Calculate the common denominator of 77/272 and 61/24.
816
Find the common denominator of 27/7328 and 91/44.
80608
Calculate the least common multiple of 7 and 98.
98
Calculate the common denominator of 19/2442 and 3/20.
24420
Find the common denominator of -29/4 and -115/18.
36
Calculate the least common multiple of 10 and 107836.
539180
Calculate the common denominator of -137/198 and -103/825.
4950
Calculate the lowest common multiple of 8 and 24541.
196328
Calculate the lowest common multiple of 13052 and 2.
13052
What is the least common multiple of 1710 and 12?
3420
Calculate the lowest common multiple of 78792 and 10.
393960
Calculate the lowest common multiple of 51 and 63.
1071
What is the least common multiple of 51 and 306?
306
Calculate the smallest common multiple of 1395 and 27.
4185
What is the least common multiple of 14158 and 22?
155738
What is the common denominator of 17/560 and 19/800?
5600
Calculate the smallest common multiple of 24 and 78.
312
What is the lowest common multiple of 396 and 882?
19404
What is the smallest common multiple of 3560 and 4005?
32040
Calculate the common denominator of 107/12 and -53/804.
804
What is the smallest common multiple of 28 and 580?
4060
Calculate the lowest common multiple of 18 and 207.
414
Calculate the common denominator of -113/6 and 25/54.
54
What is the common denominator of -19/2580 and 29/16?
10320
Calculate the common denominator of 43/2058 and -41/49.
2058
What is the common denominator of 2 | {
"pile_set_name": "DM Mathematics"
} |
7)
Simplify 4*((sqrt(120) + (sqrt(120)*-4 - sqrt(120)))/sqrt(5))/(sqrt(8)*-4*-3 - sqrt(8)).
-16*sqrt(3)/11
Simplify 4 + -1 + sqrt(13) + -1*sqrt(13) + 1 + -1*(2*sqrt(91))/sqrt(7).
-2*sqrt(13) + 4
Simplify (sqrt(2) + sqrt(8) + 4 - sqrt(22)/(sqrt(55)/sqrt(5)))**2 + ((2*(sqrt(98) - (sqrt(98)*2 - sqrt(98) - sqrt(98))) - sqrt(98)) + -3)**2.
-26*sqrt(2) + 131
Simplify (-5 + sqrt(2448) + 4 - (sqrt(272) + -3)*5)**2.
-224*sqrt(17) + 1284
Simplify (3 + sqrt(1900) + (sqrt(1900)*4*-3 - sqrt(1900)) + sqrt(1900) + -6*-1*sqrt(1900))**2.
-300*sqrt(19) + 47509
Simplify 1 + -4*-1*((1 + sqrt(325) - sqrt(325) - sqrt(325))*-1 + sqrt(325))**2*2.
-160*sqrt(13) + 10409
Simplify (-3 + 4 + (sqrt(147) + 0 - sqrt(147)) + (2*sqrt(147) - sqrt(147)) + sqrt(3) + -1)**2.
192
Simplify 3*(-2 + (sqrt(272)*1 - 3*sqrt(17)*4) + 5)**2.
-144*sqrt(17) + 3291
Simplify ((sqrt(66)*1*1 + sqrt(66))/((sqrt(6) - sqrt(6)*-2)*-2))**2 + (sqrt(110) - 1*(-1*sqrt(110) - sqrt(110) - sqrt(110)))/(sqrt(1440)*2).
sqrt(11)/6 + 11/9
Simplify (2 + -4 + (sqrt(110)/(sqrt(20)/sqrt(2)) - sqrt(11)))*-1*5.
10
Simplify ((sqrt(14) + sqrt(84)/sqrt(24))/(1*sqrt(175)))**2 + (((1*sqrt(22))/sqrt(11))**2 - -1*sqrt(8)/sqrt(4)).
sqrt(2) + 109/50
Simplify (sqrt(1280) + (5*-1*sqrt(1280) - sqrt(1280)) + sqrt(1280))/(1*sqrt(484)*6).
-16*sqrt(5)/33
Simplify 3 + sqrt(1008) + (sqrt(1008) - sqrt(1008)*1) + -3 + (2*sqrt(1008)*5)**2 + 4.
12*sqrt(7) + 100804
Simplify -3 + sqrt(405) + (sqrt(405) + 1 + sqrt(405))*5 + 0.
2 + 99*sqrt(5)
Simplify (((sqrt(36) + (sqrt(36) - sqrt(72)/sqrt(2)))*-5 + sqrt(36) - (sqrt(396)*-1)/sqrt(11))/(-5*sqrt(96)/sqrt(72)))**2.
243/25
Simplify -1*(sqrt(931) + ((sqrt(931)*-2 + sqrt(931) + sqrt(931))*-6)**2)*3*-3.
63*sqrt(19)
Simplify ((sqrt(72) + -2)*-6 - (sqrt(72) - (-2 + 0 + sqrt(72))))**2.
-720*sqrt(2) + 2692
Simplify (2*(sqrt(539) - (sqrt(539) + -6*3*sqrt(539))) - (-4 + 4*sqrt(539) - sqrt(539))*1)**2.
1848*sqrt(11) + 586987
Simplify -5 + 3*((-1 + sqrt(72))*-1 + (sqrt(72) - (sqrt(72) + 0 + sqrt(72)) - sqrt(72))*-3 + sqrt(72) + 5)**2.
1296*sqrt(2) + 7879
Simplify 5*(sqrt(70)/(sqrt(10)*1) + 5*sqrt(28)) + ((sqrt(448) + -1)**2 - 3*sqrt(343)).
18*sqrt(7) + 449
Simplify (sqrt(132)*-1*-6*-1)/(sqrt(1728) - 1*sqrt(1728) - sqrt(48)/(sqrt(16)/sqrt(4))) + -3.
-3 + 6*sqrt(11)
Simplify (-4*sqrt(204)*2 - 2*sqrt(204)*2)/(sqrt(144)/(sqrt(108)*-1 - sqrt(108))).
72*sqrt(17)
Simplify ((sqrt(1815)*-2*4)/(sqrt(55)/(sqrt(11)*2) - sqrt(55)/(sqrt(33)/sqrt(3))))**2.
92928
Simplify -4*((0 + sqrt(3))**2 + -1 - ((sqrt(3)*1)**2*2 - sqrt(3)))*5 + 1.
-20*sqrt(3) + 81
Simplify sqrt(19) - (sqrt(19) + (-1*(sqrt(19) + 2))**2) - (sqrt(684)*3)**2 - ((5 + sqrt(1539))*3)**2.
-20255 - 814*sqrt(19)
Simplify ((sqrt(891) - (sqrt(891) + sqrt(891) + 1)) + -4 - (-3 + (sqrt(891) + -1 - sqrt(891))))**2 - ((sqrt(891) - (sqrt(891)*-2 + 3))*1)**2.
-7136 + 180*sqrt(11)
Simplify (-5*1*(sqrt(114)*-1 - sqrt(114)))/((sqrt(24) - sqrt(264)/(sqrt(99) + sqrt(11)))/sqrt(4)).
40*sqrt(19)/3
Simplify (-5*sqrt(320)*1 + sqrt(320) + -1 + 2 + 1)**2*-5.
-25620 + 640*sqrt(5)
Simplify sqrt(22)/(sqrt(24)/(sqrt(132)/sqrt(11))) + (2*1*sqrt(22))/sqrt(2).
3*sqrt(11)
Simplify (((sqrt(84) - sqrt(84)*-5) + sqrt(84))/sqrt(6))/(sqrt(242) + -5*sqrt(242)).
-7*sqrt(7)/44
Simplify (sqrt(80)*-6 + sqrt(2000)*-1)/((sqrt(44)*2*2)/sqrt(11)).
-11*sqrt(5)/2
Simplify ((sqrt(308) + (sqrt(308) - (sqrt(308) - (sqrt(308)*-1 - sqrt(308))) - sqrt(308)))*-3 - sqrt(308))/(-4*sqrt(7)*2 + sqrt(7)).
-10*sqrt(11)/7
Simplify 1 + (sqrt(17) - (sqrt(2448) + 1)) - ((sqrt(170) - (sqrt(170) + sqrt(170)*1))/sqrt(10) - (sqrt(119) - sqrt(119)*-1)/sqrt(7)).
-8*sqrt(17)
Simplify ((sqrt(130) + sqrt(130) + (sqrt(130)*5 - sqrt(130) - sqrt(130)))*4)/(sqrt(60)/(sqrt(600) - sqrt(6))).
180*sqrt(13)
Simplify 0 + 4*(sqrt(175) - (sqrt(175) - (1*sqrt(175) + 2)))**2.
80*sqrt(7) + 716
Simplify 2 + -3*sqrt(2) + -5 + ((sqrt(224) + sqrt(14))/sqrt(7))**2 + -4.
-3*sqrt(2) + 43
Simplify ((sqrt(84) - -2*sqrt(84))*-3)/(sqrt(588)*-1) - (-3 + sqrt(175) + sqrt(175) + -1 + 1)**2.
-709 + 429*sqrt(7)/7
Simplify (sqrt(242) + 1 + 5 + sqrt(242)*-1*2)*5 + -1.
-55*sqrt(2) + 29
Simplify 3 + sqrt(3) + (sqrt(12)/sqrt(4)*4)**2 - (sqrt(3) + (sqrt(21) - sqrt(63)/sqrt(3))/sqrt(7) + -4).
55
Simplify 2 + ((sqrt(156)/(sqrt(60)/(sqrt(5) - sqrt(45))))**2 - -2*(sqrt(13) + -6*sqrt(39)/sqrt(3))**2).
704
Simplify (sqrt(28) + sqrt(56)/sqrt(2)*-1 - (sqrt(28) + sqrt(112)*-6))/((sqrt(4) - -1*-3*sqrt(4))*1).
-11*sqrt(7)/2
Simplify (-3*(sqrt(19) + (sqrt(475) - sqrt(475)*-1) + sqrt(475)))**2*-1*-1.
43776
Simplify -4*(sqrt(231)/(sqrt(891)*1))/((sqrt(847) - 2*sqrt(847)) + (sqrt(567) + -1*sqrt(567) - sqrt(567))).
sqrt(3)/45
Simplify -1 + -5 + (5*sqrt(13)*3)**2 + (sqrt(13) + sqrt(13) + sqrt(325) + 1)**2 + -5.
14*sqrt(13) + 3552
Simplify (1 + (sqrt(112) + 2 + -2*sqrt(112) + sqrt(112) - (-4 + sqrt(112)*1)))**2.
-56*sqrt(7) + 161
Simplify -3*(sqrt(170)*-1*-2 + sqrt(170) - -2*sqrt(170)*5)/(-2*sqrt(70)/(1*sqrt(7))).
39*sqrt(17)/2
Simplify (-1*(1 + sqrt(931) + 0) + 1*(1 + sqrt(931) - sqrt(931)) + -1 + sqrt(931) + sqrt(931)*-1)**2.
14*sqrt(19) + 932
Simplify (-2 + sqrt(1216) - (-5 + -1*sqrt(19)))**2 + 6*(sqrt(304) + 0).
78*sqrt(19) + 1548
Simplify (sqrt(33) - (sqrt(2673) + (sqrt(2673) + sqrt(2673)*-3 - sqrt(2673)) + sqrt(2673)))/(-5*sqrt(12)/sqrt(4)).
-2*sqrt(11)
Simplify ((sqrt(252) - (sqrt(252) + -1)) + ((sqrt(77)*1 - sqrt(77))/sqrt(11))**2)*3 - (-4*-2*sqrt(1008)*-3)**2.
-580605
Simplify ((sqrt(2448)*1 - sqrt(2448))*-4 - (sqrt(2448) - (1 + sqrt(2448)))*-5 - ((1 + sqrt(2448))*-3 + sqrt(2448) + (sqrt(2448) - (-5 + -1 + sqrt(2448)))))**2.
-384*sqrt(17) + 9856
Simplify ((sqrt(165)/(sqrt(99)/(-1*sqrt(9))))/((sqrt(99)/sqrt(3))/sqrt(11) - (-3*sqrt(12) - sqrt(3))))**2*5.
25/64
Simplify 0 + ((5 + sqrt(3872) + 0 + sqrt(3872) - sqrt(3872)) + sqrt(1152) + 6*-2*sqrt(1152))**2.
-2200*sqrt(2) + 96825
Simplify (((sqrt(125) - (sqrt(125) - (sqrt(125) + -1 - sqrt(125))*3)) + (sqrt(125) + 0 + sqrt(125))*3)*2)**2 + 1.
-720*sqrt(5) + 18037
Simplify (sqrt(560)/((sqrt(200)/sqrt(4))/sqrt(5)))/(5*(sqrt(392) - sqrt(392)*1 - sqrt(392)))*3.
-3*sqrt(7)/35
Simplify (sqrt(160)/sqrt(5) + sqrt(2) + sqrt(32)*-2 + (sqrt(2) + 2*sqrt(8)/sqrt(4) + sqrt(2) - (4 + sqrt(2) + -2)))**2.
4
Simplify ((sqrt(1250) - (sqrt(1250)*-1 - sqrt(1250)) - sqrt(1250)) + sqrt(1250))/(sqrt(10) - (sqrt(10) - 4*sqrt(90))) + 1.
1 + 5*sqrt(5)/4
Simplify (-3*(sqrt(65) - (6*(sqrt(65) + sqrt(65) + sqrt(65)*1) - sqrt(65))))/((sqrt(2880) + 1*sqrt(2880))/sqrt(9)).
3*sqrt(13)
Simplify (sqrt(196)*1 - sqrt(196) - (sqrt(49) + -3*sqrt(196)/sqrt(4)))/((3*sqrt(336))/sqrt(12) + sqrt(28)).
sqrt(7)/4
Simplify (sqrt(567)/(sqrt(108)/(sqrt(12)*-3)))/(sqrt(90)/(-1*sqrt(10)*-2)).
-6*sqrt(7)
Simplify ((sqrt(360)/sqrt(8)*-6)/(sqrt(9) - (sqrt(9) + (sqrt(36)/sqrt(2))/sqrt(2))))**2.
180
Simplify (sqrt(2548))**2*5 - ((sqrt(13) - (sqrt(65) - 2*sqrt(65))/sqrt(5)) + sqrt(13) - sqrt(52)/(-1*sqrt(4))).
-4*sqrt(13) + 12740
Simplify (3 + (sqrt(245) + 1)**2 - (0 + sqrt(245)*-4))*-6.
-1494 - 252*sqrt(5)
Simplify ((-4*sqrt(4455)*4)/(sqrt(30)/(sqrt(216)*4 + sqrt(6))))**2.
142560000
Simplify ((sqrt(4860)*3 + sqrt(4860))*-3)/(sqrt(108)/sqrt(144) + sqrt(36)/(sqrt(3)*-1)).
144*sqrt(5)
Simplify (1 + -2 + 3*sqrt(1728) + 1)**2*-5.
-77760
Simplify (-1 + sqrt(209)/(sqrt(11)*-4) + (sqrt(190)*2*-3)/sqrt(10))**2.
25*sqrt(19)/2 + 11891/16
Simplify -2*((sqrt(400)/sqrt(10))/sqrt(10))/(sqrt(80)/sqrt(10)).
-sqrt(2)
Simplify (4*(sqrt(9) + sqrt(4032)/sqrt(7)))/((1*sqrt(108) - sqrt(108))*3 + sqrt(108) + sqrt(108)).
3*sqrt(3)
Simplify 5*(2 + 2*sqrt(200) + -2 + sqrt(200) + -5 + sqrt(200))**2*-3.
-48375 + 6000*sqrt(2)
Simplify (3*(2*sqrt(7) + -2))**2 - (5 + -2*sqrt(252))**2.
-745 + 48*sqrt(7)
Simplify sqrt(209)/(-1*sqrt(275)) + (-2*sqrt(19))**2*6*-2.
-912 - sqrt(19)/5
Simplify (1*sqrt(99)*4)**2*-6 + 1.
-9503
Simplify (-4*sqrt(320)*-2)**2 - sqrt(40)/(sqrt(8) + sqrt(288)*-3).
sqrt(5)/17 + 20480
Simplify (sqrt(45) - sqrt(270)/sqrt(24))**2 - (sqrt(495)/sqrt(11))**2*-1.
225/4
Simplify (1*sqrt(539)*1)**2 - sqrt(33)/(-2*(sqrt(3)*1 + sqrt(3))).
sqrt(11)/4 + 539
Simplify (2*(sqrt(171) - (sqrt(171)*2 + sqrt(171)))*2)/((sqrt(90) - (3*sqrt(90)*3 - sqrt(90)))/sqrt(10)).
8*sqrt(19)/7
Simplify ((((3*sqrt(1872) - sqrt(1872)) + 4)*-5*-6 + 2)*-3)**2.
1581120*sqrt(13) + 60786756
Simplify 1*((sqrt(242) - (3*sqrt(242) + | {
"pile_set_name": "DM Mathematics"
} |
equence ht when two letters picked without replacement from {t: 9, h: 2}?
9/55
Calculate prob of sequence ttet when four letters picked without replacement from eeeeeeteeteeetee.
1/560
Calculate prob of sequence ll when two letters picked without replacement from lllllgll.
3/4
What is prob of sequence xaax when four letters picked without replacement from {l: 3, a: 6, i: 1, f: 3, x: 5}?
5/612
Calculate prob of sequence tn when two letters picked without replacement from ttnt.
1/4
Four letters picked without replacement from pwlwwclpllp. Give prob of sequence wwcp.
1/440
Four letters picked without replacement from cbbccccc. Give prob of sequence cccc.
3/14
What is prob of sequence jjuj when four letters picked without replacement from {u: 1, m: 12, j: 6}?
5/3876
What is prob of sequence mq when two letters picked without replacement from {m: 2, t: 4, q: 10}?
1/12
What is prob of sequence swa when three letters picked without replacement from waswwwsawwwwsswa?
9/280
Four letters picked without replacement from lflflfsrffff. Give prob of sequence lrll.
1/1980
What is prob of sequence mxnm when four letters picked without replacement from {m: 9, x: 6, n: 4}?
6/323
What is prob of sequence ef when two letters picked without replacement from nueehyf?
1/21
Three letters picked without replacement from zslfrrfsvzvvrfs. What is prob of sequence rzv?
3/455
Three letters picked without replacement from mmhhmhh. What is prob of sequence hmm?
4/35
Two letters picked without replacement from orpopoprpopoo. Give prob of sequence po.
5/26
What is prob of sequence tu when two letters picked without replacement from {v: 1, u: 1, o: 2, n: 1, t: 14}?
7/171
Two letters picked without replacement from {z: 10, t: 3, w: 1, p: 3, x: 3}. Give prob of sequence tw.
3/380
What is prob of sequence rkrd when four letters picked without replacement from akkssrrkgdks?
1/1485
Four letters picked without replacement from {u: 9, y: 5, h: 2}. What is prob of sequence yuuh?
3/182
Two letters picked without replacement from {j: 2, v: 10}. Give prob of sequence vv.
15/22
Two letters picked without replacement from {j: 1, i: 5, w: 3}. Give prob of sequence wj.
1/24
Three letters picked without replacement from {q: 1, x: 2, r: 1, f: 1, o: 2, j: 2}. What is prob of sequence jrj?
1/252
What is prob of sequence ur when two letters picked without replacement from uiruu?
3/20
What is prob of sequence mdc when three letters picked without replacement from bwcdimb?
1/210
What is prob of sequence yu when two letters picked without replacement from uyuuuuuu?
1/8
Calculate prob of sequence ueme when four letters picked without replacement from euunuemwfeuuefu.
1/455
What is prob of sequence dsj when three letters picked without replacement from rddrjds?
1/70
Two letters picked without replacement from yxxy. What is prob of sequence yy?
1/6
Two letters picked without replacement from jllbzllo. What is prob of sequence lb?
1/14
Two letters picked without replacement from rrtrrrkrrrrrr. Give prob of sequence rt.
11/156
What is prob of sequence jjj when three letters picked without replacement from {j: 15, o: 4}?
455/969
What is prob of sequence xo when two letters picked without replacement from ooobmxxoo?
5/36
Four letters picked without replacement from {j: 7, h: 2, y: 4, c: 4, g: 1, l: 2}. What is prob of sequence yjyg?
7/9690
Three letters picked without replacement from rccrhrttttmsmhtmtm. What is prob of sequence cmh?
1/306
What is prob of sequence sq when two letters picked without replacement from rrrrrrrrrrrrrrrqsrr?
1/342
Two letters picked without replacement from aaaajaaaaaaaaaa. What is prob of sequence aj?
1/15
Calculate prob of sequence pmag when four letters picked without replacement from {m: 6, g: 4, p: 2, a: 1, t: 4}.
1/1190
Calculate prob of sequence jp when two letters picked without replacement from msbpjjbp.
1/14
Four letters picked without replacement from ststetssstptststses. What is prob of sequence eeps?
1/5168
Three letters picked without replacement from vmadmatlv. Give prob of sequence vml.
1/126
Calculate prob of sequence oz when two letters picked without replacement from stzzo.
1/10
Calculate prob of sequence dc when two letters picked without replacement from vkdcckkcdc.
4/45
What is prob of sequence uk when two letters picked without replacement from {k: 1, e: 1, h: 1, z: 1, p: 2, u: 1}?
1/42
Four letters picked without replacement from {d: 2, z: 1, q: 1, u: 2, o: 2, g: 1}. What is prob of sequence qddo?
1/756
What is prob of sequence ok when two letters picked without replacement from knnno?
1/20
Four letters picked without replacement from {k: 3, c: 2, m: 4}. Give prob of sequence mcmm.
1/63
Four letters picked without replacement from xxoxllololooox. Give prob of sequence lool.
15/1001
Calculate prob of sequence ii when two letters picked without replacement from {i: 4, c: 3}.
2/7
Calculate prob of sequence cttc when four letters picked without replacement from ctttttctttct.
2/55
Four letters picked without replacement from tgtgdtdggddddd. What is prob of sequence ttgd?
1/143
Calculate prob of sequence gmg when three letters picked without replacement from {g: 6, m: 12}.
5/68
Calculate prob of sequence nwgg when four letters picked without replacement from rewgwhgnr.
1/756
Four letters picked without replacement from {l: 2, j: 5}. Give prob of sequence ljlj.
1/21
What is prob of sequence ue when two letters picked without replacement from {u: 7, g: 1, e: 1}?
7/72
Three letters picked without replacement from fffffpvffvffffffpp. What is prob of sequence ppv?
1/408
Four letters picked without replacement from fqqqhifqfq. What is prob of sequence ifqq?
1/84
Two letters picked without replacement from {q: 3, h: 9}. What is prob of sequence qq?
1/22
What is prob of sequence fxx when three letters picked without replacement from {x: 11, f: 9}?
11/76
Four letters picked without replacement from {e: 3, y: 2, j: 6, i: 1, f: 5}. What is prob of sequence eiyj?
3/4760
What is prob of sequence yf when two letters picked without replacement from ghkxfgxy?
1/56
What is prob of sequence iqy when three letters picked without replacement from {s: 3, l: 1, q: 1, y: 1, m: 1, i: 6}?
1/286
What is prob of sequence jim when three letters picked without replacement from ommwijb?
1/105
What is prob of sequence gddg when four letters picked without replacement from {c: 1, d: 5, g: 7}?
7/143
Four letters picked without replacement from llglilggllg. Give prob of sequence llig.
1/66
Two letters picked without replacement from {c: 4, k: 1, o: 1, u: 1, w: 4}. Give prob of sequence cu.
2/55
What is prob of sequence lyl when three letters picked without replacement from yllylylllyl?
28/165
Calculate prob of sequence ep when two letters picked without replacement from ijeepbo.
1/21
Four letters picked without replacement from annnophnn. Give prob of sequence nona.
5/756
Three letters picked without replacement from {n: 2, q: 1, l: 1, d: 1, m: 1, t: 2}. Give prob of sequence mld.
1/336
Two letters picked without replacement from {u: 3, b: 10, i: 1, p: 1, r: 4}. Give prob of sequence ip.
1/342
Two letters picked without replacement from {d: 2, h: 3, a: 3, w: 1, c: 1, f: 2}. Give prob of sequence da.
1/22
What is prob of sequence bibb when four letters picked without replacement from {i: 3, x: 2, b: 7, a: 2, t: 1, j: 3}?
7/816
Three letters picked without replacement from {r: 1, c: 4, u: 3, w: 1, y: 4, p: 1}. What is prob of sequence yuw?
1/182
Two letters picked without replacement from bbdbbbbbbbdb. What is prob of sequence db?
5/33
Three letters picked without replacement from {r: 2, x: 4, z: 3, o: 2, i: 2, y: 3}. What is prob of sequence ziy?
3/560
Calculate prob of sequence xuuj when four letters picked without replacement from zuzuuuzuxzvuuzxzjzu.
7/5814
Two letters picked without replacement from {j: 2, c: 1, b: 4, m: 3}. Give prob of sequence mj.
1/15
Four letters picked without replacement from chdogdcgdc. Give prob of sequence gdgh.
1/840
What is prob of sequence vv when two letters picked without replacement from {v: 12, h: 6}?
22/51
Three letters picked without replacement from {q: 3, d: 4}. What is prob of sequence ddd?
4/35
Four letters picked without replacement from lruruulr | {
"pile_set_name": "DM Mathematics"
} |
st common factor of h and l.
30
Let i(u) = -u**3 + 24*u**2 - 45*u + 33. Let j be i(22). Suppose 14*p - 171 = j*p. Calculate the greatest common factor of p and 3.
3
Let k = -1958 - -2186. Calculate the greatest common divisor of 144 and k.
12
Suppose -2*r = 27*r - 58. What is the highest common factor of r and 8?
2
Let h = 8 - 3. Suppose -j + 56 = -5*q, 2*j - h*q - 112 = -3*q. Let a = j + -8. What is the highest common divisor of a and 6?
6
Let r(t) be the third derivative of t**4/24 + 11*t**2. Let k be r(8). Calculate the greatest common divisor of k and 2.
2
Suppose -4*u + 6*u + 28 = 0. Let l = -15 - u. Let f(r) = -25*r - 1. Let x be f(l). Calculate the greatest common factor of x and 60.
12
Suppose -42 = -2*q - 4*z - 10, -4*q + 108 = -3*z. Suppose -2*u - 5*j = -97, -3*u - 2*j + 123 = j. Calculate the greatest common factor of u and q.
12
Let t be 0 + (-1 + 68 - 1). Let v(g) = g**2 + g - 229. Let w be v(15). What is the greatest common divisor of w and t?
11
Let c(x) = 1. Let g(y) = -5*y - 13. Let b(r) = 2*c(r) + g(r). Let u be b(-5). Suppose -11*f = -u*f + 18. Calculate the highest common factor of 9 and f.
3
Let p be (-2)/(-8) - 245/20. Let f be 6 - (p/3)/2. Let i be 98/5 + 2/5. What is the highest common divisor of f and i?
4
Suppose 0 = -2*l + 4, y - 4*y - 5*l + 1036 = 0. What is the greatest common factor of 6 and y?
6
Let y(w) = 4*w - 2. Let f be y(1). Let d = -5 + 2. Let x(u) = -7*u + 1. Let b be x(d). What is the highest common divisor of f and b?
2
Suppose 530 = 20*q + 130. Suppose -5*b = -17 - 3. Calculate the greatest common divisor of b and q.
4
Suppose -4*y + 28 = 3*k, 4 - 16 = -3*k. Suppose c + y*c = 30. Suppose 0 = 9*a - a - 384. Calculate the highest common factor of c and a.
6
Let k(z) = 9*z**2 - 3*z + 15. Let m be k(4). Calculate the highest common divisor of m and 343.
49
Suppose -13*t + 46*t - 3795 = 0. Let w(c) = -c**2 - 6*c - 3. Let b be w(-4). Calculate the highest common factor of b and t.
5
Let a be 1/(-4) - (-12)/(-16). Let j be a*(-1 + -6) + -4. Let b(u) = -u + 5. Let p be b(j). What is the highest common divisor of 5 and p?
1
Suppose 0 = 7*h - 3*h. Suppose 6 = 3*y - h. Suppose -3*p + 281 = -y*z, 8 = 2*z - 4*z. Calculate the greatest common divisor of 13 and p.
13
Let x be 2289/15 + -4*(-2)/20. What is the greatest common divisor of x and 9?
9
Suppose -11*l + 12*l = 6. Let k be (-1 - -11) + -8 + l. Calculate the highest common factor of 32 and k.
8
Suppose -285 = -3*j - 2*q, 0 = j + q - 5*q - 81. Calculate the greatest common factor of 2697 and j.
93
Suppose 7 = -9*w + 10*w. Suppose w*d = d + 138. Let n be -1 - -1*(-47)/(-1). What is the highest common divisor of n and d?
23
Let u = 552 - 512. Calculate the greatest common factor of 540 and u.
20
Suppose 0 = -2*y + 6*y - 2*k - 4, -20 = 4*y + 4*k. Let m be ((-36)/(-45))/(y/35). Let n be (3 + (-39)/12)*m. What is the greatest common divisor of 21 and n?
7
Let o(s) = -3*s**2 - 45*s - 52. Let c be o(-13). What is the greatest common divisor of 793 and c?
13
Suppose 176*j - 210 = 146*j. Suppose -10 = -b + 2*l, -b - 12 + 2 = 2*l. Suppose 3*z - 148 - 83 = b. Calculate the highest common divisor of z and j.
7
Suppose -4*g + 3*g = 2*b - 126, -189 = -3*b - g. Let o be (0 - -1)*(14 + -13). Let m be 54/8 + o/4. What is the greatest common factor of b and m?
7
Suppose -4*b + 45*q = 46*q - 16, q = 3*b - 5. Calculate the greatest common divisor of b and 57.
3
Suppose 0 = 3*b - x + 4*x - 12, 3*b - 3*x - 18 = 0. Let z = -3 - b. Let y = z + 10. Calculate the greatest common divisor of y and 16.
2
Let x = 6 + -1. Suppose -2*f = -4*f + 8. Suppose 16 = 4*k - f. What is the highest common factor of x and k?
5
Let o(g) = g + 1. Let x(u) = u**3 + 5*u**2 - 2*u - 8. Let m(a) = -4*o(a) - x(a). Let y be m(-5). What is the greatest common factor of y and 7?
7
Let p = -85 + 97. Let w(n) = -n**2 + 13*n - 4. Let t be w(p). Calculate the greatest common divisor of t and 24.
8
Suppose 0 = g + 3*i - 68, 4*g + 3*i - i - 312 = 0. What is the greatest common factor of g and 100?
20
Let j be ((-6)/4 + -2)*-2. Let a(z) = 1 - 18*z - 9 - 3*z**2 + 27*z + 2*z**2. Let g be a(j). Calculate the greatest common factor of g and 15.
3
Suppose 0 = -g - g + 2*o + 16, 16 = 5*g + 3*o. Suppose 0 = d + 3 - g. Suppose -d*p = -105 + 5. Calculate the highest common divisor of p and 10.
10
Suppose r = 2*r + 3. Let v be ((-45)/r)/((-1)/(-5)). Suppose 3*j = 2*b - 63, 123 = -3*b + 7*b - 3*j. What is the greatest common factor of v and b?
15
Let t(l) = l**3 + 23*l**2 + 27*l + 130. Let j be t(-22). Calculate the greatest common divisor of 270 and j.
10
Let z = 25 + 11. Suppose 9*o - 5*o + 4 = -4*g, 5*g - 35 = 5*o. Suppose -g*b - 7 = -p, -2*p + b = -3*b - 12. What is the highest common divisor of p and z?
4
Let d = 23 + -5. Let g(j) = j**2 + 2*j - 4. Let t be g(10). Suppose 35 = -3*r + t. Calculate the highest common divisor of r and d.
9
Suppose -75*t - 48 = -79*t. Let d = 234 + -102. Calculate the greatest common factor of d and t.
12
Let a(x) = x**2 - 2*x + 6. Let j = 10 - 10. Suppose j = 4*y - 5*m - 2, 2*y - 4*m - 2 = -2*m. Let v be a(y). Calculate the greatest common divisor of 72 and v.
9
Suppose 2*o + 3*o = 225. Let z(r) = r + 15. Let c be z(-10). Suppose 30 = 3*j - u + 3, c*u - o = -5*j. What is the highest common factor of 63 and j?
9
Let m be ((-50)/(-20))/(40/384). What is the highest common factor of m and 540?
12
Suppose 2867 - 12709 = -37*y. Calculate the highest common factor of 38 and y.
38
Suppose 0 = -n - 3*n + 544. Let z(j) = 2*j**2 - 14*j + 17. Let y be z(7). What is the greatest common factor of y and n?
17
Let d be 8/(-32)*(-1 + -163). Let m = -18 + d. What is the greatest common factor of m and 23?
23
Let u(g) = -5*g**2 - 4*g - g**3 + 10*g**2 - 4 + 1. Let r be u(4). Let m be -1*(-3 - r) + 2. Calculate the greatest common divisor of 6 and m.
2
Let o = 27 - -17. Let x = -59 - -125. Calculate the greatest common factor of o and x.
22
Let g(c) = c - 3. Let w be g(11). What is the highest common divisor of 208 and w?
8
Let x be (-7)/(-28) - (-139)/4. Suppose -2*p = 2*p + 4*k - 148, -x = -p + k. Calculate the greatest common factor of 396 and p.
36
Let x = 1 + 2. Suppose -3*c - f + x*f + 235 = 0, 2*f = c - 85. Calculate the highest common factor of c and 50.
25
Let k be (-4)/(-10) - 103/(-5). Let o(h) = 6*h**2 + h - 8. Let x be o(5). What is the greatest common divisor of k and x?
21
Let i(b) = 3*b**2 + 14*b + 2. Let t be i(4). What is the highest common factor of 159 and t?
53
Suppose 3*n - 158 = -2*p - 2*n, 3*p = -n + 250. Calculate the highest common factor of 42 and p.
42
Let a(m) = -m**3 + 14*m**2 + 81*m + 112. Let l be a(16). Calculate the highest common factor of 7 and l.
7
Let x be 0 - -137 - (98 + -105). What is the greatest common divisor of x and 768?
48
Let b(c) = -c**3 - 3*c**2 - 32. Let w be b(-5). Let z be (-24 - -2)/(24/w + -2). Calculate the greatest common factor of z and 3.
3
Let a(n) = 13*n + 1. Let z = -12 - -9. Let l(q) = -12*q - 1. Let c(x) = z*l(x) - 2*a(x). Let s be c(1). Calculate the greatest common divisor of 44 and s.
11
Let v(b) = -b**3 + 23*b**2 - 20*b - 38. Let q be v(22). What is the highest common factor of q and 291?
3
Let f = 131 + -127. Calculate the greatest common divisor of 20 and f.
4
Let y = -56 - -26. Let z = -17 - y. Suppose 2 = 4*w - 50. What is the greatest common factor of w and z?
13
Let v(x) = -8*x - 57. Let r be v(-8). Suppose 0 = -4*f + r*f - 90. What is the highest common divisor of f and 50?
10
Let z = 666 + -552. Calculate the greatest common factor of 12 and z.
6
Let t = 30 - -2. Let i = -220 - -252. What is the highest common divisor of i and t?
32
Let b(s) = s**3 - 9*s**2 - 10*s. Let u be b(10). Let y be -2 - -3 - 7*-4. Suppose k - 113 + y = u. What is the highest common factor of k and 12?
12
Suppose 0 = -2*x + j + 276, 2*j = x + 7*j - 160. What is the greatest common divisor of x and 56?
28
Let u be (2/5)/(2/80). Let m = -538 + 578. What is the greatest common divisor of u and m?
8
Let q = -1 + 5. Suppose 2*d = q*g - 5 - 23, 2*d - 20 = -4*g. Let m = 70 + -58. What is the highest common divisor of m and g?
6
Suppose 7*n - 3*y + 561 = 2*n, 0 = -2*n + 2*y - 226. Let x = -87 - n. What is the greatest common divisor of x and 40?
8
Let c be ((-3)/5)/(4/(-2 | {
"pile_set_name": "DM Mathematics"
} |
1/4
What is the value of (((-6)/15)/((-37)/4440))/((-52)/(-2))?
24/13
Evaluate (-2006)/85*(65/(-2))/(-13).
-59
2*3/6*(-9000)/(16920/141)
-75
Evaluate 9240/21560*(-182)/3.
-26
Evaluate (3/(-25))/(((-57)/(-1881))/((120/(-11))/(-8))).
-27/5
Evaluate (30/(-1475))/(((-5508)/(-170))/54).
-2/59
Calculate (((-10)/13)/(4/(-4)))/((-117)/(89739/(-472))).
5/4
What is the value of 5/(-170*113/(-291992))?
76
What is (-54)/(-4)*((-80)/12)/(15950/(-580))?
36/11
What is the value of 1*((-1)/(-105)*-7*-15)/((-1)/(-43))?
43
What is (-7)/15*((-254232)/(-66))/214?
-42/5
Calculate 20*(-31)/(-930)*(108/10)/9.
4/5
Evaluate (3/3*-3)/((-738)/13530).
55
((-3180)/3816)/(4/120)
-25
What is the value of (-35868)/(-3172)*(-18)/63?
-42/13
(((32/16)/(-2))/(-8))/((-6)/(-3))
1/16
6/(((-4)/6)/((-20)/(-450)*15))
-6
Calculate (((-30)/27)/((-318)/477))/(-10*(-4)/(-96)).
-4
What is (122658/(-40886))/(3*3*-26)?
1/78
Evaluate (40/72*(-24)/20)/((-32)/2688).
56
What is (3/(-10))/(66/32208*183)?
-4/5
What is ((-36)/16)/(-190*258/(-6536))?
-3/10
What is the value of -182*(-71)/((-20874)/84)?
-52
What is -6*4275/(-150)*3/27?
19
(7020/(-16380))/(6/20)
-10/7
What is the value of ((-11438)/29412)/((-112)/12)?
1/24
Calculate (910/130)/(77/22).
2
(((-6)/(-20))/(5/(320/6)))/((-202)/4040)
-64
((532/(-182))/19)/(6/((-6)/1))
2/13
What is (-23949)/(-5322)*((-4)/2)/1?
-9
Calculate (7/(-1925))/((-11)/((-2178)/36)).
-1/50
What is the value of 14*(155/(-620))/((27/675)/(1/5))?
-35/2
((-6)/10)/(((-18)/(-1320))/(2*5/(-40)))
11
What is the value of ((-120)/(-14))/(19975/(-83895))?
-36
Calculate (2/(-21))/((75/1875)/((-9)/(-75))).
-2/7
What is the value of ((1105/(-6))/13)/((-2705)/(-1082)*(-2)/3)?
17/2
Evaluate (117/(-7280)*-20)/((-4)/48).
-27/7
((-391)/12121)/(52/4433)
-11/4
What is (47/5)/(((-15)/250)/(35*12/700))?
-94
What is the value of ((-5)/6)/(5/(-3))*(-65254)/413?
-79
What is the value of ((-8)/(-50))/(324/2430)*5*(-4)/(-1)?
24
What is the value of ((-185)/(-2))/(22/(2552/(-145)))?
-74
What is ((-2)/(-10))/((-2)/6*147/35)?
-1/7
What is ((-51842)/(-9522)*(-15)/(-7))/(5/9)?
21
Calculate 8*406/13456*203.
49
Calculate (1/(6/318)*-1)/((-1)/((-3)/(-3))).
53
What is (510/(-3825))/((-4011)/315)?
2/191
Calculate (-36)/(-52)*(-364)/9828.
-1/39
((-625)/(-3375))/(1520/288)
2/57
(-8)/4*1435/2310*33
-41
Evaluate 9/(-6)*43/3*(-2236)/(-4472)*8.
-86
What is the value of (-420)/84*(-14)/((-7840)/12)?
-3/28
Calculate ((-1)/(-6)*340/(-34))/((1100/(-99))/(-20)).
-3
What is 3/(75/975*13/6)?
18
Evaluate 67*(-85)/(-11390)*3/72.
1/48
What is the value of (-40)/55*-30*(-58)/(-20880)?
2/33
(-72)/30*(-9075)/1210
18
((192/(-304))/12)/((-6)/6)
1/19
(-23*(-50)/575)/(-6)*-171
57
What is the value of 13/(650/120)*(-140)/(-12)?
28
((-49)/49*3)/(3/(5/5*-34))
34
Evaluate 25/40*4*((-464)/5)/(-8).
29
Evaluate ((-4100)/(-9020))/(1380/88).
2/69
(((-34)/(-15))/(234/(-195)))/(13/(-1053)*9)
17
What is (7248/15100)/((-6)/(-10))?
4/5
Evaluate (-124764)/(-2529)*((-135)/(-10))/(-9).
-74
Calculate 5/(((-765)/(-136))/(33/1628)).
2/111
What is the value of (300/(-1720)*(-8)/50)/((-36)/120)?
-4/43
What is the value of 2/((-36)/(-13))*24/(-108)*(-162)/(-12)?
-13/6
What is 52/91*28728/(-288)?
-57
What is ((-22)/(-11))/(-6)*21*(-1470)/343?
30
What is the value of (11952/(-86320))/((-6)/(-10))?
-3/13
Evaluate (-9312)/(-194)*77/66.
56
((-416)/(-6))/((-29354)/(-13548))
32
Evaluate (7/280)/(1623/(-2164)).
-1/30
What is the value of (-11*(-21)/330)/((-102)/85)?
-7/12
Calculate (((-22)/36)/((-59)/(-177)))/1.
-11/6
Calculate -2*(-56)/2*(-828)/1380*5/8.
-21
Evaluate ((-1)/(12/40))/(7295/(-78786)).
36
(1/5)/(((-5)/120)/(4840/27104))
-6/7
Evaluate 42*-64*28/(-9408).
8
Evaluate ((-244)/5795*(-10)/(-28))/(15/(-35)).
2/57
What is (-1)/((-12)/(-46))*(-354)/(-1298)*(-66)/(-12)?
-23/4
What is (63/(-38115)*110)/(24/(5/((-30)/(-9))))?
-1/88
(-1)/5*21*(-450)/35
54
Evaluate (-24)/(-15)*(-1110)/444.
-4
Evaluate (-8)/(9240/99)*10/2*-105.
45
What is (12/(-62))/((-3124)/629486)?
39
-7*(-8)/(-6)*1203/401
-28
What is (111/(10989/(-33)))/(((-27)/(-126))/((-2)/(-21)))?
-4/27
(21/6*158/(-1185))/(33/(-550))
70/9
Evaluate 468/273*84/(-162).
-8/9
Calculate 1/2*(-75)/(-6)*-23*(-236)/1357.
25
What is the value of 129/(34830/(-60))*153?
-34
Calculate 3/(-3)*31*14/10*2440/(-1708).
62
Evaluate ((-1)/20*-30)/((-6)/(-136)*-1).
-34
4/(184/2346*11/(220/(-15)))
-68
((-10)/385*-7)/(6120/(-5610))*27/(-5)
9/10
What is the value of (5868/(-10277802))/((-4)/62)?
1/113
What is 4/(-6)*(-20382)/(-57749)?
-4/17
Evaluate (-115*108/1656)/(485/(-2)).
3/97
What is ((-112)/5504*2/(-7))/(((-34)/17)/(-16))?
2/43
5814/152*2760/(-1242)
-85
Calculate (-1)/(-17*(-72)/(-612))*(-4)/(-83).
2/83
((-84)/616)/((-14)/(840/(-225)))
-2/55
-1*(-55800)/1350*(-6)/(-4)
62
14/(-4)*20/(120540/1107)
-9/14
What is (54/84*3/(-9))/((-10098)/7854)?
1/6
Evaluate ((120/3)/(-20))/(9/264*40/30).
-44
Calculate (-52)/65*5*25/250.
-2/5
What is the value of ((-208)/(-20))/(540/(-2025))?
-39
(-70)/(-6)*(-148)/(-1036)*(-6)/(-135)*57
38/9
36/(-10*(-12)/(-60))*9/((-162)/(-84))
-84
What is (2*58/290)/(((-4)/55)/4)?
-22
What is 45/(-6)*1*48/36?
-10
What is the value of 36/(48/8)*4/(-1386)*-22*2?
16/21
What is the value of 248/(-558)*(((-3)/12)/(-1))/(7/(-28))?
4/9
Calculate -5*(-12)/(190/(12*21/(-168))).
-9/19
What is the value of (((-720)/2106)/(-20))/(1179/(-1703))?
-2/81
-10*-14*43/358190
2/119
What is ((-13)/((-182)/24))/(15*(-333)/2590)?
-8/9
((-2)/(-2))/((334/334)/(6/183))
2/61
((-156)/91)/(339/(-2373))
12
What is the value of -12*165/(-45)*(-100)/(-50)*6/(-64)?
-33/4
What is (330/3465*14/150)/((-4)/15*3)?
-1/90
Evaluate 347/(72870/1610)*(6/(-28))/(1/2).
-23/7
Evaluate (-22)/33*3*41/(-7544)*6/(-3).
-1/46
What is ((-644)/(-56))/((1034/(-44))/47)?
-23
Calculate (28/(-770))/((-267)/(-35244)).
-24/5
What is the value of 21550/6465*(-2)/35?
-4/21
Calculate (-15*(-57)/(-171))/1.
-5
((2/16)/((-3)/(180/(-5))))/((-78)/(-3172))
61
What is the value of (12/(-10))/((-5)/825*(-567)/126)?
-44
Evaluate 16548/7092*18/2.
21
What is (-4*(-1)/(-16)*(-42)/(-7))/(855/(-60))?
2/19
Calculate ((-12)/(-45))/(((-6)/(-28))/((-5220)/(-1218)))*6.
32
What is the value of (105/(46305/126))/((1/126)/((-16)/(-6)))?
96
What is the value of (-17640)/1440*(-144)/(-630)?
-14/5
Evaluate (-1)/((-14)/(-16)*1264/6636).
-6
105/2898*-621*3/(15/22)
-99
Calculate ((-148)/(6364/129))/87.
-1/29
Calculate (-2377)/(-2377)*8*-3.
-24
What is 4*81/(-30)*(-4390)/(-1756)?
-27
Evaluate ((-36)/(-8))/(477/(-636))*2/(-424)*-2.
-3/53
What is (((-6)/16)/(-3)*2)/((-12)/(-30))?
5/8
(4128/(-72)*6*4/(-128))/((-6)/(-8))
43/3
39*(((-12)/(-30))/(3/(-5)))/((-696)/1392)
52
What is the value of (16/(-10))/(6298*(-105)/(-24675))?
-4/67
Calculate 713*57/8835*-5.
-23
Calculate (28230/(-271008))/((-20)/(-6)).
-1/32
((-104)/(-2))/(2405/(-1850))
-40
Calculate 204/(-8)*8*18/(-108).
34
(9/((-315)/(-5)))/(336/(-5712))
-17/7
Evaluate ((-24890)/7467)/(2/6).
-10
5/(-15)*156/(-156)
1/3
((-7463)/439)/(((-15)/(-6))/(-5))
34
((6/(-5))/((-31380)/(-14644)))/(1/5)
-14/5
What is ((72/48)/(165/(-6)))/((-136)/680)?
3/11
((-30)/9)/(-5)*(1*-2)/((-178)/6675)
50
What is the value of ((-24)/(-10))/((-672)/(-16800))?
60
Calculate 52/650*(-300)/1140.
-2/95
What is (66/4)/(-39*(-192)/(-416))?
-11/12
What is the value of ((-20)/(-260))/(-5*(-24)/156)?
1/10
Evaluate (70/175)/(((-4)/(-30))/(84/(-21))).
-12
Calculate (1248/2600)/(6858/(-127)).
-2/225
What is (81/(-594)*-55)/(45/60)?
10
What is 711/(-790)*-3*(-16)/(-216)?
1/5
What is (287/(-21))/((-1*(-11)/(-55))/(12/20))?
41
What is the value of (78/(-5))/(-42*(-13)/312*(-12)/70)?
52
Evaluate 119*(-48)/(-3248)*29.
51
What is the value of (138/(-4))/(1/(23/(-276)*8))?
23
Calculate ((-6)/8)/((-56)/710752*-167).
-57
What is the value of -16*243/(-34992)*5*-9*-5?
25
What is the value of ((-1)/(2*2))/(12*(-86)/119712)?
29
What is the value of (((-3)/(-2))/3)/(22/(-154)*(-1)/26)?
91
What is ((3304/(-21))/(-59))/44?
2/33
Calculate ((-113)/(-226))/((-17)/918).
-27
What is 5363/346*(-12)/3*1/2?
-31
What is the value of ((-369)/1*1/(-6)*2)/((-2121)/(-707))?
41
Evaluate -2*10/(110/(-319))*16/(1536/(-6)).
-29/8
What is the value of -24*5*(-6)/200*205/(-861)?
-6/7
What is the value of 864/(-1404)*(-182)/(-252)?
-4/9
1/(-188)*(-7648)/(-956)
-2/47
What is ((4/14)/((-3)/6))/((-69570)/(-11595))*3?
-2/7 | {
"pile_set_name": "DM Mathematics"
} |
lse
Is 9 a factor of 414?
True
Is 2736 a multiple of 48?
True
Is 6615 a multiple of 105?
True
Is 727 a multiple of 34?
False
Does 12 divide 24072?
True
Is 97 a factor of 134587?
False
Does 23 divide 3058?
False
Is 11 a factor of 1826?
True
Does 32 divide 4448?
True
Does 92 divide 10020?
False
Does 46 divide 50600?
True
Does 25 divide 945?
False
Is 116 a factor of 11484?
True
Is 2682 a multiple of 28?
False
Does 38 divide 7055?
False
Does 4 divide 3753?
False
Is 2254 a multiple of 49?
True
Is 15 a factor of 1117?
False
Is 25340 a multiple of 50?
False
Is 714 a multiple of 17?
True
Is 119427 a multiple of 33?
True
Does 16 divide 10904?
False
Is 1770 a multiple of 71?
False
Is 1914 a multiple of 22?
True
Is 16 a factor of 464?
True
Is 20244 a multiple of 84?
True
Is 455 a multiple of 5?
True
Is 14 a factor of 571?
False
Is 6 a factor of 1187?
False
Is 4506 a multiple of 5?
False
Is 17 a factor of 175?
False
Does 8 divide 378?
False
Is 85 a factor of 425?
True
Is 3600 a multiple of 48?
True
Does 15 divide 930?
True
Is 12 a multiple of 12?
True
Does 17 divide 93313?
True
Does 44 divide 34144?
True
Does 9 divide 189?
True
Is 10 a factor of 3200?
True
Is 9 a factor of 281?
False
Is 6 a factor of 249?
False
Is 2895 a multiple of 5?
True
Does 24 divide 18960?
True
Is 12 a factor of 20808?
True
Does 27 divide 58941?
True
Does 30 divide 7283?
False
Is 856 a multiple of 12?
False
Is 14812 a multiple of 12?
False
Does 11 divide 2035?
True
Does 38 divide 18284?
False
Is 400 a multiple of 50?
True
Is 5914 a multiple of 31?
False
Is 10095 a multiple of 46?
False
Does 6 divide 2141?
False
Is 465 a multiple of 3?
True
Is 272 a multiple of 3?
False
Is 12 a multiple of 10?
False
Does 59 divide 487?
False
Does 42 divide 6426?
True
Is 2144 a multiple of 16?
True
Is 16 a factor of 752?
True
Is 22 a factor of 28226?
True
Is 5285 a multiple of 7?
True
Is 411 a multiple of 15?
False
Does 16 divide 1184?
True
Is 13 a factor of 20527?
True
Is 11 a factor of 2215?
False
Does 69 divide 40020?
True
Does 29 divide 1297?
False
Is 329 a multiple of 47?
True
Is 37 a factor of 10582?
True
Does 6 divide 1668?
True
Is 2755 a multiple of 95?
True
Does 227 divide 63333?
True
Is 730 a multiple of 15?
False
Does 5 divide 1543?
False
Is 97006 a multiple of 14?
True
Is 222 a factor of 9145?
False
Is 758 a multiple of 18?
False
Is 817 a multiple of 172?
False
Is 2288 a multiple of 26?
True
Is 10 a factor of 1720?
True
Is 126 a multiple of 67?
False
Is 20 a factor of 3540?
True
Is 36427 a multiple of 256?
False
Does 4 divide 2100?
True
Is 19 a factor of 579?
False
Does 9 divide 144?
True
Is 197 a factor of 13396?
True
Is 4638 a multiple of 78?
False
Is 20 a factor of 17860?
True
Is 9933 a multiple of 77?
True
Is 80325 a multiple of 35?
True
Is 675 a multiple of 25?
True
Is 6 a factor of 877?
False
Is 12 a factor of 33568?
False
Is 49545 a multiple of 17?
False
Is 1286 a multiple of 4?
False
Does 46 divide 184?
True
Does 102 divide 5134?
False
Is 5 a factor of 13626?
False
Is 47 a factor of 2936?
False
Is 3596 a multiple of 16?
False
Is 107 a factor of 26643?
True
Does 14 divide 613?
False
Is 2 a factor of 2?
True
Is 9 a factor of 117?
True
Is 13 a factor of 52?
True
Does 6 divide 5473?
False
Is 20343 a multiple of 199?
False
Is 4 a factor of 5306?
False
Is 19296 a multiple of 48?
True
Is 73 a factor of 44384?
True
Does 133 divide 112252?
True
Is 94 a factor of 5626?
False
Is 925 a multiple of 37?
True
Is 18105 a multiple of 31?
False
Is 3 a factor of 1455?
True
Does 65 divide 2990?
True
Is 159 a multiple of 5?
False
Is 5418 a multiple of 86?
True
Is 2150 a multiple of 48?
False
Is 38 a factor of 1482?
True
Is 107 a factor of 21507?
True
Is 41 a factor of 900?
False
Is 55404 a multiple of 114?
True
Is 10 a factor of 388?
False
Does 49 divide 1715?
True
Is 100 a factor of 7922?
False
Does 29 divide 263?
False
Does 98 divide 10192?
True
Is 3937 a multiple of 16?
False
Does 72 divide 7866?
False
Is 1269 a multiple of 27?
True
Does 3 divide 374?
False
Is 15 a factor of 473?
False
Does 11 divide 105332?
False
Is 7 a factor of 1435?
True
Is 19 a factor of 608?
True
Does 15 divide 3240?
True
Is 14 a factor of 1274?
True
Does 8 divide 1065?
False
Is 8533 a multiple of 6?
False
Is 200 a multiple of 50?
True
Is 1471 a multiple of 21?
False
Does 14 divide 30605?
False
Is 20 a factor of 3973?
False
Is 19638 a multiple of 18?
True
Does 9 divide 121?
False
Is 380 a multiple of 4?
True
Is 5719 a multiple of 19?
True
Is 7 a factor of 530?
False
Is 9 a factor of 1773?
True
Is 15 a factor of 5719?
False
Is 3500 a multiple of 20?
True
Is 9 a factor of 459?
True
Is 2543 a multiple of 107?
False
Does 6 divide 1656?
True
Does 9 divide 567?
True
Is 547 a multiple of 3?
False
Does 25 divide 850?
True
Is 6 a factor of 71966?
False
Is 88 a factor of 53990?
False
Is 1467 a multiple of 79?
False
Does 78 divide 3198?
True
Is 28890 a multiple of 107?
True
Is 12 a factor of 396?
True
Does 135 divide 14985?
True
Is 3014 a multiple of 52?
False
Is 5812 a multiple of 8?
False
Does 12 divide 12766?
False
Is 127194 a multiple of 258?
True
Is 21568 a multiple of 64?
True
Does 30 divide 1147?
False
Is 23576 a multiple of 56?
True
Is 98 a factor of 3148?
False
Does 15 divide 900?
True
Is 18746 a multiple of 26?
True
Does 60 divide 1769?
False
Is 32621 a multiple of 12?
False
Does 11 divide 20196?
True
Is 2192 a multiple of 81?
False
Is 2794 a multiple of 5?
False
Does 5 divide 1062?
False
Is 21 a factor of 903?
True
Is 12 a factor of 1602?
False
Does 4 divide 939?
False
Does 36 divide 4785?
False
Is 56603 a multiple of 13?
False
Is 1138 a multiple of 11?
False
Is 33 a factor of 39672?
False
Does 8 divide 536?
True
Is 5200 a multiple of 73?
False
Is 36 a factor of 756?
True
Is 62542 a multiple of 47?
False
Is 13 a factor of 1218?
False
Is 870 a multiple of 5?
True
Is 10 a factor of 25543?
False
Is 6 a factor of 3841?
False
Is 70 a factor of 3010?
True
Does 69 divide 15705?
False
Is 33 a factor of 1102?
False
Is 9158 a multiple of 9?
False
Is 16 a factor of 28715?
False
Is 65 a factor of 197?
False
Does 10 divide 3410?
True
Does 3 divide 9?
True
Is 8 a factor of 8198?
False
Is 35 a factor of 15450?
False
Does 27 divide 513?
True
Is 12 a factor of 2244?
True
Is 57 a factor of 4617?
True
Is 2976 a multiple of 24?
True
Does 10 divide 14050?
True
Is 2698 a multiple of 19?
True
Does 17 divide 192283?
False
Does 19 divide 321?
False
Is 1680 a multiple of 20?
True
Is 19 a factor of 78?
False
Does 46 divide 12737?
False
Is 11 a factor of 1216?
False
Is 13 a factor of 107198?
True
Is 33 a factor of 51?
False
Is 19558 a multiple of 11?
True
Is 19 a factor of 266?
True
Is 130 a factor of 34840?
True
Is 12 a factor of 1170?
False
Does 18 divide 19836?
True
Is 2196 a multiple of 12?
True
Is 390 a multiple of 26?
True
Does 101 divide 5590?
False
Is 145326 a multiple of 464?
False
Is 12155 a multiple of 17?
True
Is 25 a factor of 700?
True
Is 9 a factor of 2196?
True
Is 10 a factor of 1046?
False
Does 65 divide 13847?
False
Does 19 divide 20216?
True
Is 245 a factor of 19110?
True
Is 378 a multiple of 6?
True
Is 8 a factor of 1960?
True
Is 7059 a multiple of 31?
False
Is 11024 a multiple of 18?
False
Is 77 a factor of 688?
False
Is 16 a factor of 384?
True
Does 4 divide 1985?
False
Is 1744 a multiple of 49?
False
Is 2 a factor of 143?
False
Is 272 a multiple of 8?
True
Is 3 a factor of 8538?
True
Is 6 a factor of 24?
True
Does 2 divide 206?
True
Does 350 divide 67438?
False
Does 202 divide 39288?
False
Is 9 a factor of 1629?
True
Is 4002 a multiple of 3?
True
Is 3458 a multiple of 91?
True
Is 11395 a multiple of 75?
False
Is 10 a factor of 1880?
True
Is 67 a factor of 4584?
False
Is 405 a multiple of 5?
True
Is 14 a factor of 420?
True
Is 1205 a multiple of 26?
False
Is 16 a factor of 1999?
False
Is 18 a factor of 52037?
False
Is 47 a factor of 6683?
False
Does 39 divide 27356?
False
Is 9886 a multiple of 15?
False
Does 119 divide 1071?
True
Is 285 a multiple of 6?
False
Is 15228 a multiple of 162?
True
Is 8 a factor of 1573?
False
Is 6 a factor of 325?
False
Is 127 a factor of 920?
False
Is 2061 a multiple of 9?
True
Does 187 divide 3927?
True
Does 12 divide 3444?
True
Is 15 a factor of 14946?
False
Does 5 divide 2104?
False
Is 2178 a mul | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from {x: 2, m: 2, h: 3, l: 13}.
3/190
Calculate prob of sequence zz when two letters picked without replacement from {z: 3, n: 2}.
3/10
Calculate prob of sequence yiyi when four letters picked without replacement from yiyyiyyyyy.
1/45
Two letters picked without replacement from ccnnccnnnc. What is prob of sequence cn?
5/18
What is prob of sequence jzf when three letters picked without replacement from {k: 3, z: 4, f: 2, j: 2, d: 1}?
2/165
What is prob of sequence dsss when four letters picked without replacement from ddsdsdddsddddd?
1/364
Calculate prob of sequence sl when two letters picked without replacement from seetesltesees.
1/39
Calculate prob of sequence rs when two letters picked without replacement from rlxdmls.
1/42
Two letters picked without replacement from {i: 3, g: 3, j: 2, f: 1, v: 3, d: 1}. What is prob of sequence jj?
1/78
Calculate prob of sequence gf when two letters picked without replacement from qfqqrgqffrqg.
1/22
Three letters picked without replacement from eeel. Give prob of sequence eee.
1/4
What is prob of sequence tu when two letters picked without replacement from fuuuttuuftfuutuuuft?
25/171
Calculate prob of sequence ddd when three letters picked without replacement from ggggdddgggdgtdggdg.
5/204
Four letters picked without replacement from {f: 3, x: 2}. What is prob of sequence xfxx?
0
What is prob of sequence cbb when three letters picked without replacement from {c: 7, u: 1, k: 2, b: 5, w: 1}?
1/24
Three letters picked without replacement from nskfsuoofofkffkff. Give prob of sequence ouo.
1/680
Two letters picked without replacement from ehphp. What is prob of sequence pp?
1/10
Calculate prob of sequence lksc when four letters picked without replacement from kknlslckssslkpl.
8/4095
Two letters picked without replacement from {r: 2, n: 9, c: 5}. What is prob of sequence nn?
3/10
Calculate prob of sequence nyqq when four letters picked without replacement from hnnqyyqqqqyyyqqq.
1/78
What is prob of sequence gfc when three letters picked without replacement from gbfgc?
1/30
Calculate prob of sequence vbv when three letters picked without replacement from bvbbvbbv.
5/56
What is prob of sequence anu when three letters picked without replacement from uanaafanuufaauuuua?
49/2448
What is prob of sequence bgmg when four letters picked without replacement from mmbgabgag?
1/126
Three letters picked without replacement from hhhbbzzhhzzzzz. Give prob of sequence hhz.
5/78
Three letters picked without replacement from mmmmmsmmmmsmmmssmmms. Give prob of sequence mss.
5/114
Three letters picked without replacement from {l: 1, b: 1, s: 2}. Give prob of sequence lss.
1/12
Calculate prob of sequence glto when four letters picked without replacement from gglgllhtvvotv.
3/2860
Calculate prob of sequence pp when two letters picked without replacement from pbboop.
1/15
Calculate prob of sequence hhhh when four letters picked without replacement from hhhhh.
1
Three letters picked without replacement from zzzzzzzzz. Give prob of sequence zzz.
1
What is prob of sequence xdo when three letters picked without replacement from wdowdwawdxdowwawwwmx?
2/855
What is prob of sequence zz when two letters picked without replacement from {r: 7, z: 7}?
3/13
Calculate prob of sequence eee when three letters picked without replacement from exexeeeeeex.
56/165
What is prob of sequence pg when two letters picked without replacement from {p: 1, g: 5, y: 4}?
1/18
What is prob of sequence umv when three letters picked without replacement from {h: 2, m: 2, u: 2, q: 8, v: 1}?
2/1365
Two letters picked without replacement from {d: 7, q: 1, h: 1}. Give prob of sequence hd.
7/72
Calculate prob of sequence ll when two letters picked without replacement from nnlnnnllll.
2/9
Two letters picked without replacement from fvvsyyyyvy. Give prob of sequence vs.
1/30
Four letters picked without replacement from {p: 4, z: 4, j: 8}. Give prob of sequence pjjz.
4/195
What is prob of sequence src when three letters picked without replacement from {s: 2, q: 1, r: 2, c: 1}?
1/30
What is prob of sequence qqjo when four letters picked without replacement from jijjqqjjqijjjqoq?
1/273
Four letters picked without replacement from {x: 3, t: 2, m: 2, p: 9}. Give prob of sequence tpxm.
9/3640
Calculate prob of sequence qq when two letters picked without replacement from qqqqffq.
10/21
Four letters picked without replacement from {t: 4, j: 1, o: 1, z: 1, i: 1}. What is prob of sequence ztio?
1/420
Three letters picked without replacement from gggggutggdudgttggmg. Give prob of sequence mdu.
2/2907
Four letters picked without replacement from wwzwwz. What is prob of sequence wwzw?
2/15
Three letters picked without replacement from xxxwwwwwxxxwxwwwxxw. What is prob of sequence wxw?
45/323
What is prob of sequence ib when two letters picked without replacement from wsbbffbibsffffs?
2/105
Three letters picked without replacement from yzyzqbzzbzbybbz. Give prob of sequence byy.
1/91
Four letters picked without replacement from {v: 2, i: 1, z: 2}. What is prob of sequence zizi?
0
Calculate prob of sequence cc when two letters picked without replacement from {c: 2, k: 2}.
1/6
What is prob of sequence nzb when three letters picked without replacement from {v: 2, n: 1, z: 1, y: 3, f: 8, b: 1}?
1/3360
Calculate prob of sequence ccqq when four letters picked without replacement from sqqqqcngnnnnqnncqcnc.
1/323
What is prob of sequence bb when two letters picked without replacement from {o: 1, d: 1, q: 1, f: 2, z: 3, b: 5}?
5/39
Four letters picked without replacement from {g: 2, p: 2, b: 4, e: 2}. What is prob of sequence peeg?
1/630
What is prob of sequence rn when two letters picked without replacement from nrn?
1/3
Two letters picked without replacement from uywunwwwynnuw. What is prob of sequence wu?
5/52
Two letters picked without replacement from fbbbbbbbbgffbbbffb. Give prob of sequence bg.
2/51
What is prob of sequence cy when two letters picked without replacement from qlcuuuylyu?
1/45
Two letters picked without replacement from {t: 7}. What is prob of sequence tt?
1
Calculate prob of sequence tt when two letters picked without replacement from {d: 12, t: 6}.
5/51
Three letters picked without replacement from llllklllkklllkklllll. What is prob of sequence klk?
5/114
Three letters picked without replacement from {d: 2, n: 3, y: 1, a: 6, l: 3}. Give prob of sequence lyn.
3/910
Three letters picked without replacement from zezzqlqznql. Give prob of sequence zez.
2/165
Three letters picked without replacement from uruuuuuruuuuuuuuuu. Give prob of sequence rru.
1/153
Calculate prob of sequence rrj when three letters picked without replacement from rrvzrjvjjjjjvzjjjj.
5/408
What is prob of sequence zmi when three letters picked without replacement from zeizimi?
1/35
Three letters picked without replacement from {n: 1, a: 1, d: 7, q: 5}. What is prob of sequence dan?
1/312
Calculate prob of sequence pb when two letters picked without replacement from dbbkkbdbbbpb.
7/132
Three letters picked without replacement from {e: 1, w: 2, y: 3, d: 1, v: 4, f: 7}. What is prob of sequence efv?
7/1224
Four letters picked without replacement from {d: 2, s: 7, u: 6}. Give prob of sequence ssud.
1/65
Four letters picked without replacement from pmnkkrpsnmpprk. Give prob of sequence pkkk.
1/1001
What is prob of sequence oyy when three letters picked without replacement from {y: 3, v: 7, o: 2}?
1/110
Two letters picked without replacement from odppdoepdcecdadepedc. What is prob of sequence ed?
6/95
Three letters picked without replacement from {j: 1, f: 1, a: 1, z: 1, m: 1}. Give prob of sequence fzj.
1/60
Two letters picked without replacement from ccvvvcvvvvvvvvcvvvvv. Give prob of sequence vv.
12/19
Four letters picked without replacement from tqqttffqqttqtfqtfff. What is prob of sequence fqtf?
35/2584
Three letters picked without replacement from {m: 1, j: 2, a: 2, f: 4, y: 1}. What is prob of sequence jmf?
1/90
Calculate prob of sequence emu when three letters picked without replacement from {k: 1, x: 1, u: 2, e: 2, m: 1}.
2/105
What is prob of sequence sq when two letters picked without replacement from zzqsqzskzkkk?
1/33
Calculate prob of sequence vv when two letters picked wi | {
"pile_set_name": "DM Mathematics"
} |
What is the units digit of n?
1
Let r(g) = -g**3 + 5*g**2 + g + 1. Let w be r(3). Suppose w = -3*m + 4. What is the tens digit of 33/m*(0 + -2)?
1
Let v be 6/(-2)*(4 - 2). Let o(m) = 4*m**2 + 4*m - 3 + m**3 + 3*m**2 + m. What is the units digit of o(v)?
3
Let j(n) = 33*n - 30. What is the tens digit of j(9)?
6
What is the tens digit of 2 + 54/(3 - 1)?
2
Let x(d) be the second derivative of d**3/2 - d**2 - 2*d. Let l be x(-2). Let y(b) = b**2 + 6*b - 4. What is the tens digit of y(l)?
1
Let q(a) = a**3 + 6*a**2 - a - 8. Let t be q(-6). Let n be -2*9*3/t. Suppose -5*r = -28 - n. What is the units digit of r?
1
What is the tens digit of (-285)/(-12) + 2 - (-7)/28?
2
What is the units digit of (110/4)/(2/4)?
5
Let q = -20 - -10. Let m = 21 + q. What is the units digit of m?
1
Suppose -4*c + 446 = 2*b + c, -3*c - 201 = -b. What is the hundreds digit of b?
2
Let j be 0/(-4 - (-2)/1). Suppose -f + j*f + 3 = 0. Suppose a + 12 = f*a. What is the units digit of a?
6
Suppose 0 = 3*g - y - 9 - 4, -26 = -g - 4*y. Suppose -2*z + 5*u = -g*z + 144, 4 = -u. What is the tens digit of z?
4
Suppose 0*s = -2*s + 6. Suppose -d + 7 = -s. What is the tens digit of d?
1
Let b = 80 + -54. What is the units digit of b/(-117) + (-130)/(-18)?
7
Let v(j) = -6*j - 6. Let g be v(-7). Suppose -2*s = -3*s + 5*x + g, 4*s - 5*x = 69. What is the tens digit of s?
1
Let k = -237 + 374. What is the hundreds digit of k?
1
Let k = -2 + 24. What is the tens digit of k?
2
Let b(i) = -4*i. Let o be b(-1). Suppose 21 - 1 = o*q. What is the units digit of q?
5
Let p(c) = 5*c**2 - 5*c + 11. What is the tens digit of p(4)?
7
Let w = 17 + -11. What is the units digit of ((-10)/3)/((-4)/w)?
5
Let x = 68 - 123. Let v = -39 - x. What is the units digit of v?
6
Suppose -5*n + 3*z - 96 = 0, 3*z = n - 3*n - 51. What is the units digit of ((-1)/(-3))/((-1)/n)?
7
Let u(m) be the second derivative of -m**5/20 + 5*m**4/12 - m**3/3 + 5*m**2/2 + m. Let x be 12/(-3)*(8 + -9). What is the tens digit of u(x)?
1
Let f(x) = -x**2 - 3*x + 9. What is the units digit of f(0)?
9
Let n = -6 - 3. What is the units digit of (-29)/n - 4/18?
3
Suppose 2 = d - 73. What is the units digit of d?
5
Let p be 2 - (-1)/(-3)*0. Suppose 2*d - 5*i = 24, 0 = -p*d + 3*i + 35 - 11. What is the units digit of d?
2
Suppose 4*m - 316 = -4*z, 0*m + 2*z + 162 = 2*m. What is the units digit of m?
0
Suppose -4*d - 346 = -5*o, -2*d + 4*d - 212 = -3*o. What is the tens digit of o?
7
Let w(m) = 3*m**2 - 3*m - 1. What is the units digit of w(4)?
5
Suppose -5*o = -3*y + 36, -5*o - 5*y - 33 = -3*o. Let w(d) = d + 12. Let u be w(o). Suppose -u*n + 3 = -12. What is the units digit of n?
5
Suppose 4*f - 12 = f, -4*v - 2*f + 720 = 0. What is the hundreds digit of v?
1
Let h be (-58)/(-8)*(-3 + -1). Let l = 57 + h. What is the tens digit of l?
2
Let n be (-2)/(-4) + 1/2. Suppose -5*l = -8*l + 3*z + 33, n = -l - 5*z. Let u = 11 - l. What is the units digit of u?
2
Let u(m) be the third derivative of -1/120*m**6 - 2*m**2 + 0*m**4 + m**3 + 0*m + 0 + 1/60*m**5. What is the units digit of u(0)?
6
Suppose -3*k + 3 = -3*n, 25 - 9 = 4*k + 2*n. Suppose 3*u - 92 = -2*y, 0 = -k*u + 5*y + 115 - 9. What is the units digit of u?
2
Let w(u) = -u**3 + 6*u**2 + u + 3. Let f be w(6). Let y be (f*(-4)/(-6))/2. What is the units digit of 2/y - (-48)/9?
6
Suppose 2*a + 3*q = -487, -3*a + 2*q = -0*q + 737. Suppose 3*d + 4*k = -42, 0*k - 3 = k. What is the tens digit of a/(-13) - d/65?
1
Suppose y = -g - 2, -y + 2 = -3*g + 4. Let p be (-1)/2 - (-13)/y. Let v(z) = -z**2 - 10*z - 10. What is the tens digit of v(p)?
1
Suppose j - 2*j - 21 = 0. Let m = -11 - j. What is the tens digit of m?
1
Let w = 564 - 364. Let s = w + 59. What is the units digit of s/28 - 1/4?
9
Let w = 162 + -100. What is the units digit of w?
2
Let i be 1 + 0 + 1*-2. Let a be (0 - (i - 3))/(-1). What is the units digit of (6/(-8))/(a/48)?
9
Suppose -4*g = 3*k - 163, 0*g + 4*k - 131 = -3*g. Let q be (-1)/4 - g/(-4). Let y = q - 2. What is the units digit of y?
7
Suppose -10*g + 2268 = 4*g. What is the units digit of g?
2
Let b be (-5 - -6)/((-2)/(-6)). Suppose b*t = -4*g + 5*t + 42, 10 = 2*t. What is the units digit of g?
3
Let c(l) = l + 2. Let k = 0 + 1. Let h = 1 + k. What is the units digit of c(h)?
4
Suppose 9*i = 7*i + 206. What is the units digit of i?
3
Let f be (-1 - -4)/(-3)*-2904. What is the tens digit of (-4)/10 - f/(-60)?
4
Suppose 5*s = -0*s. Suppose -6*x + x + 65 = s. What is the tens digit of x?
1
Suppose -2*f + 3*o - 16 = 4*o, 3*o = f - 6. Let r be 0/f - (-5 + 1). Suppose -1 + 41 = r*y. What is the tens digit of y?
1
Suppose 5*x - 127 - 88 = 0. What is the tens digit of x?
4
Let w = 0 + -1. Let l be (-1)/(-3)*(w - -16). Suppose 5*i - 17 = 4*g, 24 = -i - l*g + 10. What is the units digit of i?
1
Let w(j) = j**3 + 6*j**2 + 8*j + 5. Let a be w(-5). What is the tens digit of 6/a - 1211/(-35)?
3
Let p = 4 + -1. Let v(n) = -4 + p*n - n - 3. What is the units digit of v(5)?
3
Let x(p) be the first derivative of -1/4*p**4 - 3*p + 2/3*p**3 - 2 + 5/2*p**2. What is the units digit of x(3)?
3
Let l(r) = 3*r**2 + r**3 + 0 - 3*r**2 + r - 2*r**2 + 2. Let h be l(2). Suppose 2*u = h*n, 7 = 2*u + 5*n - 11. What is the units digit of u?
4
Suppose -3*t - 2*w - 3*w + 518 = 0, -5*w = -4*t + 679. What is the units digit of t?
1
Suppose -2*z = 3*z. Suppose z = 4*k + 3*p - 70 - 2, 3*k - 5*p = 25. Suppose -m + 19 = 2*m - x, 4*x - k = -m. What is the units digit of m?
7
Suppose 0 = c - 5*a - 1, -2*a = -3*c + 2*a - 8. Let b = 8 - c. What is the units digit of b?
2
Suppose 10 - 46 = -s. Suppose s = -w + 4*w. What is the units digit of w?
2
Suppose 0*r = -r - 4. Let w be 88/r*(-2)/4. Suppose 5*t = -a + 21, -2*a - w = -5*t + 7. What is the units digit of a?
1
Let v(b) = -6*b**2 + 3*b + 6 - 9 + b**3 + 13*b**2. Let l be v(-5). Let n = l - 17. What is the tens digit of n?
1
Suppose 0*a - 6 = 2*a. What is the units digit of a*(3 - 16/3)?
7
Let h(t) = -t. Let b be h(-5). Suppose -b - 23 = -4*y. Suppose -2*z = -z - y. What is the units digit of z?
7
Let r = 69 - 41. Suppose 2*m + 0 = r. What is the tens digit of m?
1
Let b(l) = l**3 - 5*l**2 - 9*l + 2. What is the tens digit of b(7)?
3
Let j(c) = 4 - 4 + 34*c. What is the units digit of j(1)?
4
Let i = -27 - -285. What is the units digit of i?
8
Suppose 4*j = 2*t - 68, 2*j + 117 = 3*t + 31. What is the tens digit of t?
2
Let s = -2 - -4. Let l be ((-9)/4)/((-1)/4). Suppose -3 = -s*r - z, 6*r - z = 2*r + l. What is the units digit of r?
2
Let f be (2 - 7)*1/(-1). Suppose -4 = 2*g - f*n, n - 3*n = -8. What is the units digit of g?
8
Let a = 7 + -2. Let s = a - 4. What is the units digit of s?
1
Let y(t) = -5*t**3 - t**2 + 7*t. What is the hundreds digit of y(-3)?
1
Let z(f) = f**2 - 6*f + 3. Let b be z(6). Suppose 0 = -2*a + 4*h + h + 21, 3*h + 21 = -b*a. What is the units digit of (a - (0 - 0)) + 14?
2
Suppose 0 = -r + 5 - 2. Let p = -2 + 4. Suppose -3*v + 14 - p = -r*i, 2*v + i = 5. What is the units digit of v?
3
Suppose -f + 3 = -0*f. Suppose 5*j = f*q + 19, 9 = 2*q + j - 0. Let g(l) = l**2 + 2*l. What is the units digit of g(q)?
8
Let x(g) = g**2 + 15*g - 15. Let f = -30 - -13. What is the units digit of x(f)?
9
What is the units digit of 2/((-188)/64 - -3)?
2
What is the units digit of ((-8)/6)/(((-45)/(-5))/(-1053))?
6
Let h = 1 + 1. Suppose 11 = -2*t - h*f + 27, -5*t = -3*f - 24. Suppose 0 = -2*w + t*w - 28. What is the units digit of w?
7
Let r(l) = l**2 + l - 9. Let p be r(0). Let n be (-31)/(-2) + p/6. What is the units digit of (2 + n/(-5))*-5?
4
What is the tens digit of 1/3 + 1883/84*4?
9
Suppose j = -6 - 1. Let f = -1 - j. What is the units digit of f?
6
Let t be (8/(-3))/((-2)/3). Suppose -t = -r + 7. What is the units digit of r?
1
Let r(p) = -7*p + 14. What is the tens digit of r(-11)?
9
Let h(x) = x**3 + 9*x**2 + 2*x - 2. What is the tens digit of h(-7)?
8
Let v(n) = -n**2 + 4*n + 2. Let u be v(4). What is the tens digit of (7 - (u - -1)) + 13?
1
Suppose 4*f + 39 - 295 = 0. What is the tens digit of f?
6
What is the units digit of (-2)/(-6)*0 + (85 - 4)?
1
Suppose -3*i - 12 = 0, 0*i - 4 = -2*s + 2*i. Let w = s - -3. Suppose -d = -w - 2. What is the units digit of d?
3
Let h(m) = 8*m + 25. What is the tens digit of h(11)?
1
Suppose 4*j + 338 = 2*v, | {
"pile_set_name": "DM Mathematics"
} |
*c + c for c.
1
Let i(j) = j**2 - 5*j + 4. Let r be i(4). Solve 5 = -n - r*n for n.
-5
Suppose -2*i - 2*i = -8, -3*h - 21 = -3*i. Let l = h - -13. Solve 4*z - l = 4 for z.
3
Let b(i) = -i - 16. Let j be b(0). Let s = j + 23. Solve 0 = 2*w - s*w + 20 for w.
4
Suppose -5*b + 67 - 27 = 0. Let k = b - 3. Solve -k*p = -12 + 2 for p.
2
Let o be -1*(2 - 6) - (0 - -4). Solve h + 0*h + 1 = o for h.
-1
Suppose 3*i - 5*i + 2 = -4*a, -a + 2 = 2*i. Suppose a*u = 4*u - 12. Solve -u*q - 6 = -5*q for q.
3
Let q(i) = -i**2 - i + 6. Let s be q(0). Suppose s*m - m = 20. Solve -2 = -b - m for b.
-2
Let z = -11 - -18. Let d(y) = 3*y - 17. Let s be d(z). Solve 3*n = s*n + 3 for n.
-3
Suppose -3*f + 17 = -2*v, 3*f - 11 = 5*v + 18. Solve 2*h + 1 = -f for h.
-2
Let n be (0/(0 + 2))/1. Suppose n = 5*y - 2*y - 3. Suppose s - 4 - y = u, 0 = 3*s - 4*u - 10. Solve 0 = -5*i - s for i.
-2
Let h(u) = 2*u**3 - 2*u**2 - 2*u. Let s be h(2). Suppose 4 + 4 = 3*m + s*r, 5 = -5*r. Solve 0*o + m = -2*o for o.
-2
Suppose -5*p = 2*j + j - 11, 4*j + 3*p - 11 = 0. Let q be (9/(-6))/((-2)/4). Suppose -10 = -2*y - q*y. Solve 0 = j*h - y for h.
1
Let h(q) = 19 - 2*q - 6 + 3*q. Let a be h(-8). Solve -a = n - 0*n for n.
-5
Suppose 2*z + 2*j - 14 = -0, -5*z + 8 = -4*j. Solve 0 = -z*h + 16 for h.
4
Let a(l) = -l**2 + 5*l. Let q be a(5). Solve q = -n + 2*n for n.
0
Let b be 0 + 0 - 6/(-3). Let h(x) = -x**2 - 2*x - 1. Let j be h(-1). Solve b*m - 3*m = j for m.
0
Let s be 6/21 + ((-8)/28 - 0). Solve s = 3*j + 3 - 0 for j.
-1
Let x = 2 + -1. Let v = x - 11. Let j = 17 + v. Solve 2*f + 15 = j*f for f.
3
Let j be ((-15)/2 + 3)*2. Let s be (-1)/((-26)/j - 3). Solve 2*w = 3 - s for w.
-3
Let m(n) = -n**3 + 6*n**2 + n - 2. Let c be m(6). Solve 6*h = c*h for h.
0
Suppose 4*o + c - 26 = 0, 2*o - 5*o = 2*c - 22. Solve 0 = 3*j - o + 15 for j.
-3
Let z(c) = c**2 + 7*c + 5. Let j be z(-5). Suppose -2*l + 16 = -0*l. Let t be j/20 - (-26)/l. Solve -t = 2*f - 1 for f.
-1
Suppose 3*k - 2 = 2*k. Solve k*j = -3*j for j.
0
Let m = 17 - 15. Suppose -4*t = -0 - 12. Solve -t*d - 10 = m*d for d.
-2
Suppose 0 = -2*k + 4*k. Solve k = n - 5*n for n.
0
Let o be (-39)/(-12) + ((-7)/(-4))/(-7). Solve n - o*n - 4 = 0 for n.
-2
Suppose -9 = -2*o + 23. Suppose -u = 5, -u + 3*u = -f - 5. Solve -f*i = -i - o for i.
4
Let w be 26 + (-4)/(-8)*-4. Let s = w + -13. Solve -5*n = s - 1 for n.
-2
Let v(m) = m**2 - 2*m + 1. Let u be v(1). Solve -f + 3 - 7 = u for f.
-4
Let c be (12/(-10))/(-3) - 2067/(-195). Solve 5 = -4*h - c for h.
-4
Let w = 9 - 0. Solve 4*d = d + w for d.
3
Suppose -3*l - 8 = -5*l, -24 = -3*j - 3*l. Suppose 4*f + q - 15 = 0, 3*q + 2*q = -5*f + 15. Solve 5*o = f*o - j for o.
-4
Suppose -4*p - 2*u = -6, 0*u - 3 = -p - 2*u. Let c(d) = -d**3 + d**2 - d + 5. Let z be c(0). Suppose 0 = 3*h - 51 - 6. Solve h = z*j - p for j.
4
Suppose 12 = 2*z + z. Suppose -z*h = -2*h + c - 20, -4 = -h + c. Suppose 4*u - 4 = h. Solve -5*b - 8 = -u*b for b.
-4
Let t be 10*(-2 + 12/5). Solve 2*q - t = -0*q for q.
2
Let i(a) = -a**2 + 5*a + 3. Let x be i(5). Suppose x*g = -0*g. Let w be (-2)/(10/(-4) + 2). Solve g = 8*t - w*t - 8 for t.
2
Let g be (2/5)/((-3)/(-45)). Solve 2*f - g*f + 20 = 0 for f.
5
Suppose h + 2*f + 4 = 9, -f - 11 = -4*h. Solve h = 4*u + 15 for u.
-3
Let b(f) = -f**2 - 5*f + 3. Let q be b(-5). Let l be (-1*18)/(-3) - q. Solve 3*x + 0 = -l for x.
-1
Let q = 20 - 20. Solve 0 = -q*a - 4*a for a.
0
Let n(z) = -2*z - 3. Let v be n(-3). Suppose -2*h + 21 = 5*l, 0 = 4*h - v*l - 3 - 0. Solve h*b = -6 + 15 for b.
3
Let n(x) = -2*x + 7. Let h(d) = -d**3 + 4*d**2 - 3*d + 3. Let t be h(4). Let r be n(t). Solve c + r = 6*c for c.
5
Suppose -2*t - 4 = -20. Let u be -3*-3*t/18. Solve i = -i - u for i.
-2
Let r(n) = 2*n**2 + 4*n - 1. Let k be 7 + 2*(-3)/2. Let i be 3/(1 + k/(-2)). Let u be r(i). Solve 10 + 0 = -u*z for z.
-2
Suppose -37 - 13 = -5*o - 3*r, -3*o - 4 = -5*r. Let t = -5 + o. Suppose -t*n = -n. Solve 5*p + 0*p = n for p.
0
Suppose 3 = 4*f - f. Solve -6 = n - f for n.
-5
Let p be 1/(-4) + (-308)/(-16). Suppose 4*i = -2*z + 26, 2*z - p = i - 8. Solve -5 - z = -3*f for f.
4
Let t(m) = -m - 3. Let z be t(-6). Suppose 0 = -0*d + z*d. Solve 0*r - 2*r = d for r.
0
Suppose -o = 3*o + 2*g, 0 = -3*g. Let k(y) = -y + 17. Let j be k(o). Solve 3*m + 5 = j for m.
4
Let d(p) = p**2 + 7*p - 8. Let t be d(-7). Let g = t - -8. Solve 7*n - 4*n = g for n.
0
Let w be (11 - -2) + -3 - -2. Suppose -28 = -3*b + n, 4*n - 8 = w. Solve 4*t + b = 3 for t.
-2
Suppose 12 - 28 = -4*t. Let z be t/14 - 12/42. Solve -u + z = -3 for u.
3
Suppose -4*p - 9 = v, -2*v + 4*p + 31 + 11 = 0. Suppose 6*a + 10 = v*a. Solve m - a = -1 for m.
1
Suppose 6*x = 3*x. Suppose 25 = a - x. Suppose 4*z - 83 = a. Solve z - 7 = 4*c for c.
5
Suppose -2*d + 10*d = -4*d. Solve 11*a - 16*a + 15 = d for a.
3
Suppose -4*m = -2*m - 6. Let n(k) = -k**2 + 4*k + 2. Let i be n(4). Solve i*z = m*z - 5 for z.
5
Let q(r) = -r**3 - 5*r**2 - 4*r + 3. Let g be q(-4). Suppose -k + 6 = -3*k. Let v = g + k. Solve 2*m = -4 - v for m.
-2
Suppose m - 5*l = -10, -4*m - l + 27 = 4. Solve -2 = m*q - 27 for q.
5
Let x be (5/(-10))/((-3)/54). Solve x*d = 4*d + 15 for d.
3
Suppose -y = k - 10, 3*k - 3*y - 2*y = -2. Suppose g - u - k = 1, 0 = -4*u - 8. Let q = -3 + g. Solve 6 = 2*v - q for v.
4
Suppose -2 = -2*n + n. Solve n*p = p + 2 for p.
2
Let c be 1/(-3) + 130/30. Solve 0 = -0*j - c*j for j.
0
Let k = -67 + 69. Solve 6*f = k*f for f.
0
Let g(u) = -u**2 - 19*u + 23. Let h be g(-20). Solve -h = -q + 4*q for q.
-1
Let u = 28 - 20. Let p = 11 - u. Let z be p/(-3) - -1*2. Solve z = -a - 2 for a.
-3
Suppose 16 = 9*s - s. Suppose s*c - 3 = 3. Solve c*x - 4 = 2 for x.
2
Let o = -11 + 13. Solve 3*q + o*q = 0 for q.
0
Suppose 6*d + 6 = 24. Solve -3*o + 9 - d = 0 for o.
2
Let t(r) be the first derivative of -r**3/3 - 9*r**2/2 - 3. Let g be t(-8). Solve h + g = -h for h.
-4
Suppose 4*w + 6 = 6*w. Let t be 0 - (w/3 + -4). Solve f - t = -0 for f.
3
Suppose -3*s + 8*s - 5*c - 50 = 0, c = -4*s + 50. Let z = s + -8. Solve 3*j - 2*j + z = 0 for j.
-4
Suppose 3*a = 5 + 1. Let x be 2/a + 15/3. Solve -i + x - 2 = 0 for i.
4
Let i(a) = -a**2 - 6*a - 5. Let s be i(-4). Solve s*j + 1 = 4 for j.
1
Let n(s) = -s**3 - 3*s**2 + 2*s + 5. Let a = -7 + 3. Let q be n(a). Suppose -9 = -5*o - w, o = -0*w - 4*w - 2. Solve o = -5*i - q for i.
-3
Let k be (-50)/18 + (-2)/9. Let a = k - -5. Let r = 2 - a. Solve 3*s + 7 - 1 = r for s.
-2
Let a = -57 + 69. Solve -x + 4*x - a = 0 for x.
4
Let p = -13 - -22. Suppose 4*g - 5*l = -24, g = -l + 3 - p. Let o be (0 - 1)*1*g. Solve 0 = k - o*k for k.
0
Suppose 3*x - 4 = 2. Suppose x*q = -2*q. Suppose 3*h - y + 6*y + 3 = q, 5*h + 3*y = 11. Solve -h*l = 2 - 10 for l.
2
Let a = 61 + -59. Solve 4*w - 2 = a for w.
1
Suppose 3*j - 4*h - 65 = 0, 5*j = 2*j + 2*h + 61. Let l be (1 + 1/(-2))*-2. Let m be l - (1 + -2)*5. Solve m = 3*i + j for i.
-5
Let b be ((-115)/46)/((-1)/2). Solve -i = -b*i for i.
0
Suppose p = -4*l + 17, l - 22 + 11 = -p. Solve 11 = -5*q - p for q.
-4
Suppose 0 = -4*t - 5*r + 20, 5*r - 30 = -t - 4*t. Solve j = -j + t for j.
5
Let b be -2 - (2 - 3 - 3). Solve -b*c + 1 = 11 for c.
-5
Suppose 52 = -4*h + 52. Solve -4*b + h = 4 for b.
-1
Suppose -18 + 3 = -p. Solve -3*s + p = 2*s for s.
3
Let s(v) = -4*v - 3*v - 5*v**2 + 4*v**2 + 3. Let m be s(-7). Suppose y + 0*z = 3*z + 10, -m*z = y + 8. Solve 3*h + y = 10 for h.
3
Let q(t) = 6*t - 1. Let z be q(1). Solve 4*l + z = -3 for l.
-2
Suppose -2*z = 2*z - 8. Suppose z*t + 8 = 4*t. Solve t*r + 16 = -4 for r.
-5
Let q(m) = -2*m - 12. Let f be (-14)/(-21) + 4/(-6). Suppose -2*t - 3*t - 40 = f. Let w be q(t). Solve w*o = -14 + 34 for o.
5
Let o = -124 + 189. Let m be 10/(-45) + o/9. Let d(q) = q**3 - 6*q**2 - 6*q - 4. Let z be d(m). Solve -1 = -l - z for l.
-2
Let y = 4 - -2. Let k be 6/y*(4 - -1). Solve -3*j + 4 = -k for j.
3
Let r = 90 + -77. Solve 0 = -5*i - r - 2 for i.
-3
Let h(b) be the first derivative of -b**4/4 - 3*b**3 + 9*b**2/2 - 7*b - 3. Let f be h(-10). Solve f*o = 5*o - 2 for o.
1
Suppose -41*b - 10 = -46*b. Solve 16 = -b*u - 2*u for u.
-4
Let g be 1 + 4 - (6 - 6). Suppose -y - 3 = g*s - 23, -3*s + 12 = y. Solve -w = s*w - 15 for w.
3
Let u be 3/(-6) - 2/4. Let h = u - -5. Let v(t) = 2*t - 5. Let s be v(h). Solve 0*y = -s*y for y.
0
Let y | {
"pile_set_name": "DM Mathematics"
} |
lculate (2 - 0) + 0 + 0 - (333 + -351).
20
What is the value of -20 + 8 - (12 - 31)?
7
Evaluate 0 + 14 - 4 - (2 - 3 - 6).
17
What is -2 - (21 + -13) - -18?
8
Calculate 0 + -27 - (-1416 + 1402).
-13
-5 + (-5 - (-26 - -11))
5
What is -7 - (25 + -12 + 6)?
-26
What is -2 + (12 - 8) + -3 + 6?
5
What is -16 + (-23 - -36) - -22?
19
0 + -16 - (-53 - -35)
2
What is (-15 - 6) + 9 + 0 + 14?
2
What is the value of -188 + 180 - (-15 - -1)?
6
What is the value of (1 - -22) + (-8 - 4) + (-4 - 4)?
3
What is (2 - -43) + (118 - 141)?
22
(-1 - 12) + 100 + -98 + 0 + -5
-16
-41 + 46 + 2 + 0 - 17
-10
What is -29 + (6 - -1 - -38)?
16
Calculate -7 - (-27 - (3 - (-9 - -14 - 3))).
21
What is 12 - 23 - (-9 + 5 + -5)?
-2
9 + (-17 - -8) - (9 + -2)
-7
Calculate -13 - (-2 + -11) - -11.
11
Calculate (-3 - 4) + (4 - -10) + -9 + 7.
5
What is the value of 6 + (17 - 8) + (-2 - 5)?
8
Evaluate 0 + -6 + (14 - 6) + 10.
12
Evaluate -5 + (-6 - (-1 - 5)) + -5 + 18.
8
What is the value of -28 + 13 + -4 + 14?
-5
-2 + -17 + (44 - 16)
9
Evaluate 7 - (-3 + 3 + 5 + -4 + -6).
12
Evaluate -10 + 3 - (-3 + 4 - -11).
-19
(-27 - (-3 + 4)) + (30 - 41 - -3)
-36
What is -13 - ((9 - -8) + -28)?
-2
What is the value of 14 - (18 + -5 + 8 + -3 + -9)?
5
What is the value of -1 + -2 - ((-19 - (23 + -8)) + 16)?
15
What is 30 + -17 + 15 + -13?
15
Calculate -10 + (7 - 19) + (-18 - -20).
-20
Calculate 18 - (17 + -6) - -12.
19
What is (-2 - 4) + 129 + -121?
2
Evaluate 5 + 0 + 0 + (-5 - -26 - 21).
5
-12 + -1 + 7 + 12 + -4
2
What is 8 + (-1 + (-4 - 7) - (9 - 14))?
1
Evaluate 3 + (2 + -1 - 13).
-9
Evaluate -6 + -7 + (2 - (0 - -1) - -2).
-10
0 + 1 + -9 + 49 + -67
-26
9 + 18 + 29 + -28
28
Calculate (-10 - -23) + -14 + 13.
12
What is the value of -8 + -5 + 1 - (-8 - (2 - 5))?
-7
Calculate -3 + 1 - (2 + -21) - (639 + -646).
24
What is the value of 68 + -40 - 29 - (0 + -4)?
3
Evaluate 4 + -1 + (-668 - -694).
29
What is the value of (1 - 4) + (16 - (-5 + 15)) + -16?
-13
What is the value of -2 - (11 + 11 + -15)?
-9
14 + 2 + (-12 - (-53 - -41))
16
What is the value of -16 + 3 + (-8 + 8 - (2 - 3))?
-12
What is -2 + (7 - 0) + (19 - 48) + 15?
-9
What is (173 - 169) + (-4 + 1 - -2) + 9?
12
Calculate -2 + -14 - (-1 - (-1 + 9) - -7).
-14
What is 5 - (2 + -4 + 5 + -3 - -6)?
-1
Calculate 1 + 8 + 3 - 8 - (-2 - 6).
12
What is -2 + -18 + 17 + (-2 - -20)?
15
What is the value of -124 - -121 - (2 - 10)?
5
Calculate (-4 + 3 - 13) + (-8 + 4 - -11).
-7
21 - ((-19 - -30) + (0 - 7)) - 1
16
Evaluate 25 - (3 + -2 + -5 - 9).
38
What is 15 - 5 - (-7 + (15 - 9) - 3)?
14
Evaluate -13 - (1 + -2) - (-51 - -37).
2
What is (-10 - 1) + 45 + -29 - 21?
-16
Evaluate -21 - (22 + -11 - (2 + 15)).
-15
What is the value of -23 + 11 + 0 - -12 - 3?
-3
What is the value of (-2 - 16 - (-15 - -10)) + 8 - 9?
-14
Calculate 9 + -19 + 12 + 18.
20
2 + -5 + (1 - 1)
-3
What is (-2 - 15) + (17 - 26) + (-6 - -23)?
-9
What is -8 + (-12 - (18 + -39)) + 6?
7
4 - (16 - (15 + (-28 - -17)))
-8
-21 + (0 + -9 - (-43 - (-32 - -6)))
-13
Evaluate 2 + 22 + -1 + 10 + 4 + -20.
17
Evaluate 21 + -4 + 26 + -24 + (0 - 0).
19
What is the value of (-17 - -5 - (-7 + -11)) + -6 + 2?
2
Calculate 3 + (10 - (-4 - -7)) + 1 + 0.
11
Calculate 0 - (-14 - (-15 + 7) - -13 - 7).
0
Evaluate 6 + -15 - (5 + 18 + -10 + -7).
-15
What is the value of 5 - ((7 + -2 - (-15 - -19)) + 2)?
2
13 - (-17 + (-3 - -46))
-13
Evaluate -18 - (-33 + 26 + -16).
5
What is -2 + 0 + 80 + -87?
-9
What is -4 + (-12 - (-5 - (4 + (-8 - -5))))?
-10
Calculate 16 - (6 - 5 - ((1 - 1) + -4)).
11
Calculate (-1 - -1) + 39 + -10 + -31.
-2
What is 6 - ((3 - (0 - 2)) + (10 - 4))?
-5
What is the value of 9 + (-11 - (-9 + 6))?
1
Calculate (-10 - -9 - (-6 - -1)) + -8 + 0.
-4
What is the value of -25 + -14 + 27 + (-1 - -7) + 20?
14
-12 + (26 + 1 - 10)
5
5 - (-9 - (-3 + -3 + 0))
8
What is the value of 1 - (5 + 0 + -6 - (1 + -3))?
0
What is the value of (2 + 0 - (-3 - 0)) + (16 - 8)?
13
What is the value of (-3 - -15) + 2 + 0 - (1288 + -1284)?
10
What is the value of -4 + 16 + (-2 - (0 - -5)) + -11?
-6
What is the value of (-413 - -419) + (0 - 1)?
5
11 - 3 - (40 - (24 + 0))
-8
-18 + 7 + 10 + 6 + -10 - -14
9
What is -8 - 0 - -15 - 10?
-3
Calculate 5 + 0 + -6 + (-3 - -15).
11
Calculate -14 + (4 - 1) - (5 - 11).
-5
Calculate -1642 - -1636 - (-1 + 1 + -1 + 2).
-7
3 + 6 + 157 + -157
9
Calculate (6 - (9 - 0)) + 8 + 10.
15
-16 - (-5 + -32 - -31)
-10
What is the value of 34 + (-18 - ((9 - -4) + -11)) + 9?
23
What is the value of (-1 - 8) + -427 + 444 - (3 - 2)?
7
What is (-97 - (-58 + -26)) + (-1 - (1 + -1))?
-14
What is 17 + -1 + (8 - (4 + 4 + 5))?
11
Evaluate (0 + 8 - 12) + 8 + 15.
19
-5 - (-4 - (13 + -9))
3
Calculate -8 - (-59 - (-74 - -42)).
19
What is 4 + -5 + 0 + (8 - (8 + -2))?
1
Calculate -12 + (15 - (14 + 10 - -2)).
-23
(0 - 10) + -335 + 317
-28
What is 290 + -308 - (1 - 1)?
-18
118 - 105 - (5 - 8)
16
What is the value of -35 + 1 + -1 + -11 + 56 + -38?
-28
-46 + -3 + 41 + -10 + -18
-36
Evaluate (62 - 18 - 19) + -19.
6
Calculate -16 - (-10 + (-18 + 4 - -9 - -5)).
-6
Calculate -23 - (8 - 18) - (-3 + -9).
-1
What is the value of -23 + (-11 - -10) - -24 - (1 + -21)?
20
Evaluate (-3 - -24) + -12 - (-5 + -8 + 3).
19
What is the value of (9 + 6 - 5) + -19?
-9
5 - (6 + -5) - 6 - 2 - 5
-9
What is 29 + -25 - -5 - (1 + 4)?
4
(27 - 35) + -13 - -36
15
Calculate 16 + 0 - (8 + -5 + (0 - -1)).
12
What is 11 + 1 - (-111 + 115)?
8
Evaluate -4 - (8 - (-7 + 14)).
-5
Evaluate -8 - (-15 + 1 - (-24 + 32 + -7)).
7
What is the value of (4 - 3) + 14 + -17 - (33 + -3)?
-32
Evaluate (0 - -1) + -1 + -1 - (-17 - -4).
12
-5 + -4 + -20 + 20 + -3
-12
Calculate -9 - (-43 + 5) - 4.
25
Evaluate (0 + -14 - -15) + 8.
9
-5 - 6 - -8 - (4 - 19 - -3)
9
-31 + 47 + -6 + -8 - (-1 + 13)
-10
What is the value of 15 + -23 - (25 + -23 + 11)?
-21
Evaluate 4 + 15 + -25 + -9.
-15
Calculate (-1 - (4 + -12 - 5)) + 4.
16
Evaluate -3 - (-2 + -4 - (-4 + 28 + -7)).
20
34 - (6 - (-1 + -4 + 17 + 0))
40
Calculate 2 + -2 + 0 + 7 + -5 + -1.
1
What is (3 - (40 - 19)) + 35?
17
What is (-2 - -12) + -125 + 122?
7
What is -11 - (-18 - (25 - 35))?
-3
Evaluate 21 + -14 + 1 + 10 + 3.
21
What is 2 + 0 + (-32 + 18 - (-14 - -1))?
1
Calculate (18 - 38 - -8) + 10 + 0.
-2
Calculate 11 + 12 + -36 + 5 - -9.
1
Calculate -4 + (-11 + (2 - -10) - 9).
-12
Evaluate 7 + -31 - (0 + -11).
-13
What is the value of (-19 - -10) + (1 + -6 - 3)?
-17
What is the value of (2 + 5 - (12 - 6)) + 0 - -2?
3
Evaluate (35 - (2 + 7)) + (5 - 15).
16
What is 25 - ((-18 - -26 - 10) + 12)?
15
Calculate -12 - (96 + -104 - (-20 - 2)).
-26
Calculate -7 - (2 + -4 - 9 - 2) - -16.
22
(12 - 2 - (4 - -2) - 2) + -5
-3
Evaluate 1 + 5 + (0 - -1) + -6326 + 6341.
22
What is 6 + 0 + (11 - 4 - 6 - 7)?
0
Calculate 21 - (-17 + 28 + 21).
-11
Evaluate 8 - (-27 + 6 - -36).
-7
What is 0 + -18 + (9 - 9) - (-20 + 31)?
-29
What is -2 - (6 + (-28 - (8 + -18)) - 7)?
17
-30 + (37 - -35) + -62
-20
Calculate (-10 - (-7 - -1 - -3)) + 26 + -12.
7
(9 - 10) + (2 - (14 - 8))
-5
Calculate (8 - ((1 - -2) + -14 + 7)) + -2.
10
Evaluate -7 + (33 + -7 - 24) + (0 - -37).
32
Calculate -12 + 3 + 18 + 15.
24
(3 + -10 - 1 - -37) + (-5 - 1)
23
Evaluate -23 + (-7 + 29 - -15).
14
-8 - (-64 + 78 + 0 + 1)
-23
What is the value of 13 - (8 + 13) - -15?
7
What is 8 - (2 + -6 + 7)?
5
Calculate 10 - (-120 + 142 - (-1 + 7)).
-6
What is the value of 27 + 0 + 2 - (0 + 12)?
17
3 + 1 + 0 - (-14 - -11)
7
Calculate 1 + -12 - ((-5 - -6) + -6 - -3).
-9
Evaluate 17 + -8 + -7 - (7 + -5).
0
-10 - (-10 + -11 + (-7 - -8))
10
3 - (-11 + (8 - (15 + -9)))
12
-6 - (-6 + 0 + (12 - 0))
-12
2 + 11 - 14 - (1 + 0 + -4)
2
What is the value of -1 + 0 + -211 + 228 + (1 - 14)?
3
Evaluate (-12 - (-44 + 63)) + -5.
-36
-1 + (13 - -1) + -4 + (-4 - 1)
4
What is 27 + -41 - (21 - 15)?
-20
What is (-9 - ((3 - 3) + -10) - -5) + 10?
16
What is the value of -39 + -9 + (101 - 25)?
28
What is the value of 42 + 12 + -61 + 22?
15
What is 0 - (0 - 2 - (136 + -145))?
-7
-12 - (-1 - (3 - (5 - 9)))
-4
What is the value of -11 - 0 - (4 + -39 + 20)?
4
9 + 0 + -15 - (1 + 0 + -14)
7
Calculate -5 + ((-3 - -8) + -2 - 8) - -7.
-3
Evaluate 1 - (-6 + 16 + 0).
-9
What is the value of 1 + 2 - (-23 - -6 - -34)?
-14
33 - (26 + (6 - 3))
4
Evaluate (-6 - (-21 + 25)) + 27.
17
What is the value of 28 + -12 - (21 + 7 + 0)?
-12
Calculate -2 + 1 + 0 - (187 + -191 | {
"pile_set_name": "DM Mathematics"
} |
(c) z
b
Let r = -29 + 36. Let t(v) = v**3 - 5*v**2 - 16*v + 12. Let h be t(r). Let n = 27 + -80/3. Which is the second biggest value? (a) n (b) 2/7 (c) h
b
Let l = -5.2 - -8.5. Let g = 2.9 - l. Let h = -8/15 - 2/15. Which is the second biggest value? (a) 2 (b) g (c) h
b
Suppose -m + 5*m + 16 = 0. Let y = -39 + 48. Let j be (-39)/45 + 6/y. Which is the third biggest value? (a) m (b) j (c) -5
c
Let w = -12.5 + 10.5. Let q = 862 - 3391/4. Let t = q - 14. Which is the third smallest value? (a) 4 (b) w (c) t
a
Let d = 0.15 + -0.13. Let v = 0.32 - d. Let j = -0.28 + v. Which is the second biggest value? (a) 1 (b) 0.4 (c) j
b
Let i = -85 + 63. Let r be -2*3*(-23 - i). Which is the third smallest value? (a) -4 (b) 1 (c) r
c
Let s = -1 - 2. Suppose 2*m - 63 = 3*u - m, -2*m - 77 = 5*u. Let d be (-4)/(-10)*(51/2)/u. What is the third smallest value in s, -2/7, d?
-2/7
Let l = -42487/60 + 2757/4. Let z = 19 + l. What is the third smallest value in 1/3, -3, z?
1/3
Let n = 84 - 424/5. Which is the second biggest value? (a) 0 (b) n (c) -4
b
Let k = 476 + -475.95. Which is the third biggest value? (a) -2/29 (b) -0.4 (c) k
b
Let d = 447 + -379. Which is the second biggest value? (a) 5 (b) -3 (c) d
a
Let b(j) = -3*j - 21. Let o be b(-8). Let t be (-4 + 6)/(3/(o/1)). What is the third biggest value in t, -2, -0.5?
-2
Let h = -115/2 + 59. Suppose -5*p - 21 = -6, 3*p = -4*j - 17. Which is the biggest value? (a) -0.3 (b) h (c) j
b
Let r = 0.1767 - 0.0667. Which is the second biggest value? (a) r (b) -3 (c) 0.2
a
Let v(h) = -h + 6. Let j be v(6). Let q be ((-2)/(-16) + j)*2. Let m = 0.09 + -0.15. What is the second biggest value in q, m, 0.5?
q
Let w = -0.07 + -3.83. Let h = 2.9 + w. What is the smallest value in h, -7, -2?
-7
Let l = 50.28 - 50. Let o = l + -0.18. Let y = 0.2 - 0.3. Which is the second biggest value? (a) y (b) 2 (c) o
c
Let g = -184 + 1286/7. Let d = -170 + 169.923. Let x = d + -0.423. What is the biggest value in g, 0.4, x?
0.4
Let s = -508 + 509. What is the second biggest value in -0.2, -1.7, s, -4?
-0.2
Let q = 0 - -2. Suppose 0*s + q*s = h - 13, -5*h = -5*s - 30. Let g(i) = -i - 5. Let o be g(s). Which is the second biggest value? (a) 0.3 (b) o (c) -2/9
a
Let v(f) = -f**3 - 10*f**2 + f - 4. Let j be v(-10). Let z be (2 - (-26)/(-42)) + (-4)/j. Which is the third biggest value? (a) -4 (b) z (c) -2/5
a
Let n = -25 - -39. Let g = n - 15. What is the smallest value in 1, g, 7?
g
Let r = -121 + 125. Which is the smallest value? (a) 3/2 (b) -6 (c) -2 (d) r
b
Suppose 5*v + 2*a + a = -44, 3*a = 2*v + 26. Let z = -70 + 73. What is the second biggest value in v, -5, z?
-5
Suppose 12*p - 45 = -3*p. Suppose -8 = 4*t - 2*c - 32, t + c = p. What is the second biggest value in 49, -1, t?
t
Let x be (-249)/33 + (5 - (-10 - -8)). Which is the third smallest value? (a) -2 (b) 1/2 (c) x (d) 2/3
b
Let a = -287 - -274.96. Let f = a - -12. What is the second smallest value in 1, f, 3?
1
Let q = 2.7 - -2.2. Let x = q + -5. Which is the biggest value? (a) 7 (b) x (c) -3
a
Let h = -4.48 - -1.48. What is the fourth smallest value in 1/31, h, 5, 0?
5
Let h = -10958225/34153 + -9/34153. Let c = -320 - h. Let m = 8/9 + -49/45. What is the second biggest value in -0.06, m, c?
-0.06
Let s = -102 + 109. What is the second biggest value in s, 3, 5/3?
3
Suppose 49*l + 113 = 309. What is the biggest value in 6, 0.26, l?
6
Let m = 1663 - 1661. Which is the biggest value? (a) -7 (b) -1 (c) -0.4 (d) m
d
Let h = 26 - 24. Let y be 7 + (3 - 3 - h). Which is the biggest value? (a) y (b) 1 (c) 1/4 (d) -4
a
Let p be (-7)/(7/(-12))*208/(-195). Which is the second smallest value? (a) p (b) -1/3 (c) 2/9
b
Let t = 13.8 - -31.3. Let q = 46 - t. What is the third biggest value in -3, q, -1?
-3
Let u = 189/148 - 38/37. Which is the third smallest value? (a) u (b) 0.18 (c) -2.1
a
Let z = 2/3675 - -1048/3675. What is the second biggest value in -0.4, z, 51, -3/4?
z
Let w = 2 - -1. Let j = -0.99 - 0.31. Let r = j + -0.7. Which is the second biggest value? (a) 4 (b) w (c) r
b
Suppose o = -5*j - o + 20, -4*j + 3*o = -39. Let d = -18 + j. Let h be (-46)/d - (-11)/66. Which is the second biggest value? (a) -0.2 (b) 0.06 (c) h
b
Let n = -1302/13 - -100. Which is the second smallest value? (a) n (b) -2 (c) -4 (d) 4
b
Let j = -5 - -8. Let w = 80 + -80. Suppose 4*h + 9 + j = w. Which is the biggest value? (a) -4 (b) h (c) -1
c
Let q = -691 + 17273/25. Let c = -7/25 - q. Let x = -7 + 11. What is the second biggest value in c, x, 5?
x
Let z = -82 - -81.6. Let d be 1 + (-7)/(49/10). What is the smallest value in 4, -1, z, d?
-1
Let q(j) = j**3 + 24*j**2 + 23*j + 6. Let o be q(-23). Suppose -o*s - 18 = -0*s. What is the third smallest value in -2, s, -4/3?
-4/3
Let s = 1.84 + -2.09. Let l be (8/(-6))/((-198)/27). Which is the fourth smallest value? (a) -0.2 (b) l (c) -2/13 (d) s
b
Let x(t) = -2*t**2 + 2*t + 2. Let y be x(2). Let m = -0.184 + -0.016. Let q = -5 - -9. Which is the second smallest value? (a) y (b) q (c) m
c
Let o(t) = 2*t**2 - 9*t - 3. Suppose 0 = -i + 11 - 1. Suppose -2*q + 0*q = -i. Let z be o(q). What is the second biggest value in 0.4, z, -1?
0.4
Let d be (318/(-1) - -3)*-1. Let o be (-4)/(-14) + (-48)/d. Let p = 19 - 17. What is the biggest value in -1/4, p, o?
p
Suppose -4*r = -3*z - 19, 3*z - 44 + 55 = 2*r. Let y = 0.5 + -5.5. What is the smallest value in r, 2, 5, y?
y
Let q = 1325 - 1324. What is the second smallest value in -2/3, 2, q, 0.11?
0.11
Let s = 57 - 45. Let u = s - 17. Let l = 3 + -2. Which is the second biggest value? (a) l (b) -4 (c) u
b
Let x = 2/493 + 3938/1479. What is the third smallest value in 2, -1, x, 1/6?
2
Let f = -2.0531 + 0.0531. What is the biggest value in f, 35, 7?
35
Let v(t) = -372*t**2 - t - 1. Let u be v(-1). Let x = u - -5578/15. Let p = 1077/2 + -538. Which is the third biggest value? (a) x (b) p (c) -2
c
Let b = 4.7 + -5.2. Let p = 9 + -9. Let j be 1/(-6) - 4/264. What is the second biggest value in j, p, b?
j
Let i = -64 - -255/4. What is the third biggest value in 0.3, -4, i?
-4
Let t = 167.4 + -167. Let w = 0.1 - 0.4. What is the second biggest value in -4, t, -3, w?
w
Let q be (-1 - (-79 + 5))*(-23)/1. Let k be q/(-1495) + 1/(-5). What is the third smallest value in 2/3, k, -1?
k
Let o = -282.1 - 57.9. Let r = o + 336. Let p be ((-1)/3)/((-1)/4). What is the second biggest value in r, p, -11?
r
Let w = 931.7 - 932. What is the biggest value in -4, 3/5, -3/4, w?
3/5
Let s = 4.4 + -4. Let k = -1204.3 - -1204. What is the third biggest value in -18/7, k, s?
-18/7
Let y = -1 - -0.7. Let s = 36 + -42. Let x = s - -8. What is the third biggest value in y, -5, x?
-5
Let u = 0.2 - 0.3. Let g = -287.8 - -288.2. Which is the biggest value? (a) 0.1 (b) g (c) 1/5 (d) u
b
Let n = -13 - -13. Let w = n + 3. Suppose 0 = 3*b - 0*b - w. What is the biggest value in b, 0.3, 1/2?
b
Let k = -257/5 - -2323/45. What is the second smallest value in -0.5, -17, k?
-0.5
Let u = -9 - -13. Let p be (u - 1)*(18 - 19). Let m be -3*(-5)/((-15)/4). What is the smallest value in -0.5, m, p?
m
Let y be -2*1 + (1344/(-91))/(-8). Which is the third biggest value? (a) 0.5 (b) 0.3 (c) y (d) -4.1
c
Let i = 33 + -32.6. What is the smallest value in 0.2, -22, i?
-22
Let p = 74 - 52. Let n = p + -24. Which is the fourth smallest value? (a) 1/4 (b) n (c) 0.1 (d) -4
a
Let x = -56 - -58.9. Let l = x + 2.1. What is the second biggest value in -3, 0, l, -2?
0
Let f be (-6)/8 - 5/(-15)*6. Let a = 0.97 - 1. Let v = -0.43 - a. What is the second biggest value in v, 2/5, f?
2/5
Let p = 4699 - 4697. Suppose 3*x + u = -5, 0 = -3*x + 4*x - 4*u + 19. What is the fourth biggest value in x, p, 4, 3/5?
x
Let y be (9 + -2)/1 + -3. Let z = -34.6 - -32.6. What is the second smallest value in 2/5, y, z, -2/3?
-2/3
Let q be 6/10*(2 - 608/399). What is the third biggest value in -1, -0.057, q, 0.4?
-0.057
Let t = -3579 + 46521/13. Let o = -8 + 6. Which is the third biggest value? (a) t (b) 1/8 (c) o
c
Let f = 0.06 + 0.04. Let m = 3.6 - 3.1. Which is the second biggest value? (a) m (b) f (c) -0.3 (d) 0
b
Let m = 8/3 - 13/6. Let a = 0.3 + 3.7. Let k = -6568 + 6563. What is the smallest value in m | {
"pile_set_name": "DM Mathematics"
} |
(-6 + z)*(0 + 1). Suppose p*j - 11 = 33. What is the units digit of j?
1
Let q be (3/(-6))/(3/(-12)). Let o = -12 + q. What is the units digit of (o/25)/((-1)/20)?
8
Let u(f) be the first derivative of f**3/3 - 3*f**2 + 2*f - 5. What is the tens digit of u(9)?
2
Suppose 4*l - 24 = -2*n, l - 8 = -3. Suppose 5*t + 7 + 3 = 0, 4*r - 80 = -n*t. What is the units digit of r?
1
Let m = -49 + 99. Let q = -28 + m. What is the units digit of q?
2
What is the tens digit of 10/35 + (-318)/(-14)?
2
Suppose -j + 5*z = -2*j - 2, -3*j - z = -8. Suppose -13 = 2*f - j*f. What is the tens digit of f?
1
What is the tens digit of 0 + 1 + (-5439)/(-49)?
1
Suppose 3*t = -q + 28, 4*q + 3*t - 82 = t. What is the units digit of q?
9
What is the units digit of 795/20 - (-1)/4?
0
Suppose -6*o = 5*a - 3*o - 104, -3*a = 2*o - 62. Suppose -7 = 3*y - a. What is the units digit of y?
5
Let r(h) = -h - 4. Let w = 12 - 6. Let y be w/(-21) + 80/(-14). What is the units digit of r(y)?
2
Let k = 32 + -23. Let j = 2 + k. What is the tens digit of j?
1
Suppose -d + 3 = 3*z - 4*d, 5*z - 14 = 2*d. Suppose -z = -0*p - p. What is the units digit of p?
4
Suppose -2*k = -3 - 3, 3*p = 3*k + 87. What is the tens digit of p?
3
Let p = 9 + -8. What is the units digit of p?
1
Let a be (-6)/(-4)*2 + 98. Let l = a + -56. What is the tens digit of l?
4
Let b(w) = w. Let h(u) = -u**3 - 7*u**2 - 2*u + 4. Let y(l) = 2*b(l) + h(l). Let p be y(-7). Suppose 0*g - p*g + 8 = 0. What is the units digit of g?
2
Let w(k) = -k**3 + k - 3. Let o be w(0). What is the units digit of 1/(-2)*36/o?
6
Let q = -11 - -35. What is the tens digit of q?
2
Let p = 16 - -67. Suppose 4*t - 33 = p. What is the units digit of t?
9
What is the units digit of 5/((-15)/(-12)) - 1?
3
Suppose 5*r = k + 21, 4*k - k = -4*r + 32. Suppose -3*f + k*f = 0. Suppose f = l - 6*l + 15. What is the units digit of l?
3
Let y = 1 - 3. What is the units digit of 0 - -1 - (y - 23)?
6
Suppose 0 = c - 4*c. Suppose 2*p - 16 = -c. What is the units digit of p?
8
Suppose 0 = 3*p - 3*k - 663, p + 4*k + 0*k - 226 = 0. What is the hundreds digit of p?
2
Let s(n) = 2*n**2 + 4*n - 3. Let h be s(3). Let x = h - -3. Suppose v + v - x = 0. What is the tens digit of v?
1
Let n = 9 - 9. Suppose -4*f + 14 + 2 = n. Suppose r + 0*v = -v + 8, f*v - 28 = -3*r. What is the units digit of r?
4
Suppose -3*n - 156 = -4*g, -g - 2*g = 5*n - 88. Suppose 2*t = -5*x + 39 - 3, -5*t + g = -x. What is the units digit of t?
8
What is the units digit of (-2)/(158/40 + -4)?
0
What is the tens digit of 492/9 - -1 - (-2)/(-3)?
5
Let y be 78 + -4 + 1 + 2. Let i = y + -48. What is the units digit of i?
9
Suppose 2*p = p + 5. Suppose 0 = p*s - 92 - 83. What is the tens digit of s?
3
Let g be (4/8)/((-2)/(-24)). Suppose g*b - 3*b = 5*o, 0 = -2*o. Suppose 0 = 2*y - b*y - 8. What is the units digit of y?
4
Suppose 5*u = -3 + 28. Let x = u - 2. What is the units digit of x?
3
Let o(l) = l + 2. Let s be o(5). Let i(x) be the first derivative of x**3/3 - 3*x**2 - 3*x - 2. What is the units digit of i(s)?
4
Let t(a) = -5*a + 1. Let k be t(-1). Let y = 8 - k. Suppose -y*m + 24 = m. What is the units digit of m?
8
Let l(j) = j**3 - 11*j + 3. What is the tens digit of l(5)?
7
Suppose -y - 11 = -a - 2*a, -y - 6 = -2*a. Suppose q + 10 = i - 0*q, a*q = -2*i + 6. What is the units digit of i?
8
Suppose 3*x = -4*d + 111, 4*d = x - d - 37. What is the units digit of x?
7
Suppose -4*m - 3 = -8*m - f, -5*m + 5 = f. Suppose -5*i = 5*d - 60, -4*i - 2 = -m*d + 16. Let n = 1 + d. What is the tens digit of n?
1
Let s(p) = 2*p + 1. Let l be s(1). Suppose 0 = 2*t - 1 - l. What is the units digit of 10/(-1 - (-4)/t)?
0
What is the units digit of ((-129)/3)/(1 + (-4)/3)?
9
Let z = 15 + -9. What is the units digit of 6/9*z/4?
1
Let w(h) = -h**2 - 6*h + 1. Let y be w(-6). Let p(d) = 4*d - 5 + 4*d + 4 + 8*d. What is the tens digit of p(y)?
1
Suppose 0 = -2*y - 0*y - 8. Let w be (-34)/y + (-2)/4. Suppose -w = -r - r. What is the units digit of r?
4
Let q be 2/(-9) - (-58)/18. Suppose -2*u + 0*r + 40 = 2*r, 2*r = -q*u + 59. What is the units digit of u?
9
Let k = 1 - -3. Let j(h) = h + 2. What is the units digit of j(k)?
6
What is the tens digit of (-30)/105 + (-303)/(-7)?
4
Suppose -6*h - 346 = -8*h. What is the units digit of h?
3
Suppose 2*i + 12 = 3*b + 2*b, -2*b + 4 = -i. What is the units digit of b?
4
Let n(h) = 244*h**3 - h**2 - 3*h + 3. What is the tens digit of n(1)?
4
Let p be (0/(2 + 2))/(-3). Let d = p + 16. What is the units digit of d?
6
Let o be 34/(-6) - 8/(-12). Let u(g) = g**2 + 2*g. Let c be u(o). What is the units digit of ((-18)/c)/((-2)/10)?
6
Let z(n) = 6*n**2 + n - 1. Let a be z(1). Suppose -5*k + 25 = 0, -5*k + 31 = 2*w - a. What is the units digit of w?
6
Let g(o) = 8*o**2 - 3*o - 2. What is the units digit of g(-1)?
9
Suppose 4*g - 7 = -3. What is the units digit of g?
1
Let u(r) = -r + 8. Let d(q) = -q**3 + 3*q**2 + 3*q - 4. Let a be d(4). Let c be ((-3)/(-4))/((-1)/a). What is the units digit of u(c)?
2
Let y = -11 - -5. Let p(a) = -a**2 - 9*a - 1. What is the units digit of p(y)?
7
Suppose -6*n = -n + 3*v + 629, 2*n - 3*v = -239. Let u = 74 + n. What is the units digit of u/(-4) + (-2)/4?
2
What is the hundreds digit of (0 + (-2)/3)*(-1482)/4?
2
Let k(t) = 3*t - 12. Let p be k(10). What is the units digit of (-4)/(-18) - (-266)/p?
5
What is the tens digit of -1 + (-3)/6*-114?
5
What is the tens digit of -3 + (-1 - -72 - 1)?
6
Let l(n) = 3*n - 2. Let k be l(2). Suppose 2*m - k = 14. What is the units digit of m?
9
Suppose 2*l = -0*l + 56. What is the units digit of l?
8
Suppose 0 = -0*u + 2*u. Suppose 32 = 2*b - 0*b + 2*a, a - 5 = u. What is the tens digit of b?
1
Let c(s) be the third derivative of -s**4/24 + 2*s**3/3 - s**2. Let g(v) = v - 2. Let k be g(2). What is the units digit of c(k)?
4
Let o = 45 - 21. What is the units digit of o?
4
Suppose -5*z - 16 + 1 = 0. Let b be (1 + -4)*(z - -2). Suppose x + b = 2*k + 18, 4*k = 4*x - 40. What is the units digit of x?
5
Suppose -2*w + 2*z = 7*z - 63, 3*w = -z + 75. What is the tens digit of w?
2
What is the units digit of (-10)/6*(-18)/15?
2
Let c(x) = 4*x**2 + x + 4. Let o = 2 - 4. Let z(v) = 5*v**2 + 2*v + 5. Let r(g) = o*z(g) + 3*c(g). What is the tens digit of r(3)?
1
Suppose 2*f - 28 = 2. What is the units digit of f?
5
Suppose 190 = -8*m + 2758. What is the tens digit of m?
2
Suppose 2*d - 135 = -33. What is the units digit of d?
1
Let u(t) be the first derivative of -t**3/3 + t**2/2 + 4*t - 1. What is the units digit of u(0)?
4
Let h = -19 + 31. Suppose -y - h = -4*y. Suppose -d = f - 3, 3*f - y*d = 5 + 11. What is the units digit of f?
4
Suppose -x - 4*r = -22, 2*x = r + 2 + 15. What is the tens digit of x?
1
Let r(h) = -8*h**3 - 3*h**2. What is the units digit of r(-2)?
2
Suppose 4*g + 40 = 3*l - l, 4*l + 3*g = 135. What is the units digit of l?
0
Let c(r) = r**3 - 6*r**2 + 4*r + 3. Let m be c(5). Let h = m + 0. Let d = -1 - h. What is the units digit of d?
1
Let k(a) be the third derivative of -5*a**4/8 - 55*a**3/6 + 2*a**2. Let d(o) = o + 4. Let q(r) = -55*d(r) - 4*k(r). What is the units digit of q(2)?
0
Let r be (-1)/(-3) + (-670)/(-15). Suppose 4*w - 53 = -5*t + 2*w, 0 = 4*t - w - r. What is the tens digit of t?
1
Suppose 5*q + 27 = 6*q. What is the tens digit of q?
2
Suppose 2*v + 2 = v. Let t = -25 + 24. What is the units digit of 1*(16 + v + t)?
3
Suppose -319 = -6*p + 83. What is the tens digit of p?
6
Suppose 5*p - 213 = 32. Let n be 259/p - (-4)/(-14). Suppose -n*k = m - 77, 4*k = 5*k - 3*m - 9. What is the tens digit of k?
1
Let u(x) = -x**3 - 5*x**2 - 3*x + 2. Let v be u(4). Let n = -54 - v. Suppose 5*d + 10 - n = 0. What is the units digit of d?
8
Suppose -c + 1 = -5*u + 3*u, 0 = -3*c + u + 8. Suppose 63 = 3*i + c*r, 5*i - 55 = 4*r + r. What is the tens digit of i?
1
Let h(p) = p**3 + 4*p - 2*p + 3 + 5*p + 2*p - 8*p**2. What is the units digit of h(7)?
7
Suppose 2*h = 4*w + 66, 2*h = -0*w - 2*w + 36. What is the tens digit of h?
2
Suppose 2*s - 28 = 834. What is the units digit of s?
1
Let j(f) = -f**3 + f**2 + f + 4. Let q be j(0). Suppose -q*s = -2 - 38. What is the units digit of s?
0
Let z(s) = s + 7. Let d be z(-3). Suppose d*u = 8 - 20. What is the units digit of (-11)/2*(-5 - u)?
1
Suppose 4 = -5*i + 5 | {
"pile_set_name": "DM Mathematics"
} |
n three letters picked without replacement from rrtrrxurntrt?
3/220
Two letters picked without replacement from {e: 1, v: 1, o: 1}. Give prob of sequence ee.
0
What is prob of sequence zl when two letters picked without replacement from {l: 2, g: 2, j: 4, z: 1}?
1/36
What is prob of sequence xxx when three letters picked without replacement from {x: 4, g: 1, z: 1, f: 1, u: 2, m: 3}?
1/55
Two letters picked without replacement from dddgndgndggddddd. What is prob of sequence dd?
3/8
Two letters picked without replacement from ttusuussuy. Give prob of sequence su.
2/15
Calculate prob of sequence xlin when four letters picked without replacement from {x: 6, i: 2, n: 5, l: 2, d: 3}.
1/612
Two letters picked without replacement from pytnn. What is prob of sequence ty?
1/20
Calculate prob of sequence vav when three letters picked without replacement from {v: 2, a: 1}.
1/3
Three letters picked without replacement from uuaaaavuuuuau. What is prob of sequence uuv?
7/286
Calculate prob of sequence yy when two letters picked without replacement from {m: 2, y: 4}.
2/5
Three letters picked without replacement from pppppipnonnppinnnp. What is prob of sequence npn?
15/272
Four letters picked without replacement from iqbiyb. Give prob of sequence bybi.
1/90
Three letters picked without replacement from {h: 3, i: 1, w: 1, m: 2, p: 10}. What is prob of sequence wim?
1/2040
What is prob of sequence ssz when three letters picked without replacement from {s: 4, z: 7}?
14/165
Calculate prob of sequence gg when two letters picked without replacement from {d: 1, g: 3, r: 4, o: 4, x: 1}.
1/26
Two letters picked without replacement from {j: 1, k: 2, m: 1, h: 1}. Give prob of sequence hm.
1/20
Three letters picked without replacement from {r: 1, t: 2, y: 5, g: 3, q: 1, c: 3}. What is prob of sequence ggt?
2/455
Calculate prob of sequence fqqf when four letters picked without replacement from {q: 5, f: 13}.
13/306
Three letters picked without replacement from cmpamompappppppppcpp. Give prob of sequence moa.
1/1140
Three letters picked without replacement from dwqfccwqfcmc. What is prob of sequence wwf?
1/330
Three letters picked without replacement from {w: 3, d: 1, n: 5, c: 1, y: 1, z: 2}. What is prob of sequence dwn?
5/572
Calculate prob of sequence qpq when three letters picked without replacement from {q: 3, p: 1}.
1/4
Two letters picked without replacement from {h: 3, b: 2, v: 9, t: 4, a: 1}. Give prob of sequence tt.
2/57
Calculate prob of sequence mn when two letters picked without replacement from mneawnwmennw.
2/33
Calculate prob of sequence xykx when four letters picked without replacement from kkyyxxkyyyk.
1/198
Three letters picked without replacement from {s: 3, d: 12, l: 1}. Give prob of sequence dls.
3/280
Calculate prob of sequence kooo when four letters picked without replacement from kooohoohhkh.
1/66
Three letters picked without replacement from nqqqtkl. What is prob of sequence ktq?
1/70
What is prob of sequence wlw when three letters picked without replacement from lnwwq?
1/30
What is prob of sequence nn when two letters picked without replacement from cnca?
0
Two letters picked without replacement from gggblblqlqbq. What is prob of sequence lb?
3/44
Calculate prob of sequence ej when two letters picked without replacement from degvbedbedggbeggj.
1/68
Three letters picked without replacement from ffffllulsfssfss. Give prob of sequence ffl.
3/91
What is prob of sequence nm when two letters picked without replacement from deammnppmdp?
3/110
Two letters picked without replacement from zzmezznezezzzme. What is prob of sequence ne?
2/105
Calculate prob of sequence isv when three letters picked without replacement from {s: 2, i: 7, v: 5}.
5/156
Calculate prob of sequence dt when two letters picked without replacement from {g: 1, x: 10, c: 3, d: 1, t: 4}.
2/171
Three letters picked without replacement from {l: 2, p: 6, h: 4, j: 3, d: 1, g: 2}. Give prob of sequence pll.
1/408
Two letters picked without replacement from ovrorrvorr. What is prob of sequence or?
1/6
Three letters picked without replacement from {i: 2, z: 7, x: 1, e: 3, v: 7}. Give prob of sequence vzv.
49/1140
What is prob of sequence uud when three letters picked without replacement from {c: 1, g: 1, u: 3, l: 1, d: 1}?
1/35
Calculate prob of sequence dmh when three letters picked without replacement from mmdddzmmdmdxoh.
25/2184
What is prob of sequence vq when two letters picked without replacement from qzvvss?
1/15
What is prob of sequence aacc when four letters picked without replacement from caaacaac?
1/14
Four letters picked without replacement from {i: 2, k: 1, w: 2, y: 1, d: 1, v: 1}. Give prob of sequence wwii.
1/420
Calculate prob of sequence ioyy when four letters picked without replacement from yssioy.
1/180
Calculate prob of sequence trv when three letters picked without replacement from {v: 9, i: 7, t: 1, g: 2, r: 1}.
1/760
Two letters picked without replacement from sjjjjjjjjjsjjjjjjj. Give prob of sequence jj.
40/51
Four letters picked without replacement from maaaamaaammm. Give prob of sequence amaa.
35/396
Calculate prob of sequence ll when two letters picked without replacement from {a: 3, l: 6, d: 1, z: 3, n: 6, u: 1}.
3/38
Two letters picked without replacement from {u: 6, e: 11, a: 2}. Give prob of sequence ee.
55/171
Three letters picked without replacement from ryjzbfyf. Give prob of sequence zry.
1/168
Four letters picked without replacement from chllllcllllllch. What is prob of sequence lhlh?
1/182
Calculate prob of sequence ww when two letters picked without replacement from wul.
0
Three letters picked without replacement from {f: 2, k: 2}. Give prob of sequence ffk.
1/6
Two letters picked without replacement from {y: 7, h: 4, q: 1, r: 2}. Give prob of sequence yy.
3/13
Calculate prob of sequence kky when three letters picked without replacement from {y: 6, x: 4, k: 2}.
1/110
Two letters picked without replacement from hiha. Give prob of sequence hh.
1/6
What is prob of sequence fffi when four letters picked without replacement from iiiiiffffifffiifffii?
20/323
Two letters picked without replacement from hhjjj. Give prob of sequence hj.
3/10
What is prob of sequence eeg when three letters picked without replacement from {g: 1, n: 5, e: 5, u: 5}?
1/168
Three letters picked without replacement from ognconndn. What is prob of sequence gdc?
1/504
What is prob of sequence aj when two letters picked without replacement from {j: 4, a: 2}?
4/15
Two letters picked without replacement from {o: 1, l: 1, a: 1, k: 1, q: 3}. Give prob of sequence lk.
1/42
Calculate prob of sequence ccvc when four letters picked without replacement from {c: 5, v: 15}.
5/646
Calculate prob of sequence pppy when four letters picked without replacement from xpxyxxy.
0
Three letters picked without replacement from wwwppwsbd. What is prob of sequence bwp?
1/63
Calculate prob of sequence rcg when three letters picked without replacement from rrrgrrccckkrrkskrr.
3/544
Two letters picked without replacement from {q: 1, l: 1, u: 1}. Give prob of sequence lq.
1/6
Calculate prob of sequence dbd when three letters picked without replacement from {b: 3, d: 5}.
5/28
Three letters picked without replacement from {b: 4, u: 16}. What is prob of sequence bbb?
1/285
What is prob of sequence qhm when three letters picked without replacement from {m: 8, g: 5, j: 1, h: 3, q: 3}?
1/95
Calculate prob of sequence ydd when three letters picked without replacement from {d: 2, y: 8}.
1/45
What is prob of sequence gjj when three letters picked without replacement from {j: 2, g: 2}?
1/6
What is prob of sequence qjeu when four letters picked without replacement from {q: 9, j: 2, b: 1, u: 3, e: 3}?
3/1360
Two letters picked without replacement from {e: 2, z: 11}. What is prob of sequence zz?
55/78
Two letters picked without replacement from rnn. What is prob of sequence nn?
1/3
Calculate prob of sequence kpx when three letters picked without replacement from xpkjp.
1/30
What is prob of sequence ulqc when four letters picked without replacement from {l: 1, q: 1, c: 1, u: 1, v: 1, w: 6}?
1/7920
Three letters picked without replacement from emezezjjmmma. Give prob of sequence mze.
1/55
Two letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
/293
What is the value of (24/14)/(((-4)/(-196))/((-96)/(-2184)*13))?
48
What is the value of (1904/392)/(186/(-14) - -13)?
-17
Evaluate (0 - (-2)/50)/(132792/1870 + -71).
17/5
What is 3358/690*-15 - -24?
-49
What is (-126526)/5494 - -29 - 6?
-2/67
Calculate ((-2)/110)/(24 - 1599/65 - -1).
-1/22
What is 0 - -15 - (-280 - -331)?
-36
Calculate (8 - (5 - 0))*(-2)/(6/25).
-25
(((-1760)/99 - -18)*(-27)/12)/((-3)/(-6))
-1
59 + -34 - ((-7)/(-2) - (-36)/(-72))
22
Calculate 38/(-12) - ((2 - 1) + 1) - (72016 + -72027).
35/6
What is the value of 4699/(-381) - ((-40)/(-300))/(3/(-30))?
-11
What is the value of (-42)/15*(-1 + 2 - 2278/938)?
4
Calculate 86/(-16039) - (-1195675)/(-378222).
-19/6
Calculate ((-33711)/1122 - -30)*(-1 - (-36)/20).
-2/55
(26 + -20 - -6*35/(-26)) + 2
-1/13
What is (-11293)/(-276) + ((-2)/12 - (-56)/224)?
41
What is ((-222)/22 + (-320)/352)/10?
-11/10
Evaluate ((-684)/(-27))/((-20)/(-30)).
38
Calculate (-49977)/(-7290) + (-12)/216.
34/5
What is the value of 48/(-2) + (-174032)/(-2682) - (-16)/(-18)?
40
What is the value of ((-16)/120*-3)/(401/(-80) - -5)?
-32
(-1360)/(-4488)*77/(-14) - 125/(-3)
40
What is ((-2)/(-6))/(717/8604)?
4
Evaluate -46 - (12/(-26))/(177/(-2301)).
-52
What is 34/(-8)*(5 + 2355/(-459) + (-52)/234)?
3/2
What is the value of (-22)/341 + 9930/155 + ((-24)/8 - -4)?
65
Evaluate ((-7)/8)/(2343 + -2336) - (-483)/24.
20
What is the value of (-185)/((-155)/(-93)*(-1)/2*6)?
37
Calculate 107 - 110 - 410/(-123).
1/3
What is the value of (2*(1 + (-8)/4))/(2414/426)?
-6/17
Calculate (-32 + 107900/3375)/((-4)/(-10))*(-333)/1517.
2/123
(-62)/((6/54)/((-78)/468))
93
What is (-365)/24*(-14 + 768/60)?
73/4
What is ((-1925)/2024 - -1)*(1152/81 + -14)?
1/92
2/81 - (-41515)/(-497097) - (-11060)/(-119)
-93
Calculate ((-684)/57)/(36/(-140)) + 2/(-3).
46
Calculate (4/(-656))/(246/(-2952)).
3/41
What is the value of 690/(-280) + (-1)/(-14)*(-7 - (1 + -4))?
-11/4
What is the value of 5552/(-152680) - (-108)/(-55)?
-2
Calculate -1*321/6 - (-2866)/5732.
-53
Evaluate (236/1298)/((-19)/(125818/28)).
-43
19/(11305/(-102))*(-7)/((-28)/60) + 3
3/7
What is the value of (-31)/((4/(-20))/(310/50 - 6))?
31
Calculate (-15)/(-1360)*-34 + (-22)/112.
-4/7
What is (-15)/66*(-3836)/23975?
2/55
-1 + 62/8 + (1800/630)/((-4)/14)
-13/4
What is the value of 12/(-63) - (-85063)/42735?
9/5
744/(-511) - ((-54)/378)/((-9)/10 + 1)
-2/73
Calculate 1248/2184*231/(-7458).
-2/113
What is ((-2880)/1320)/(-8*5/110) + 69?
75
Evaluate ((-1)/(-9))/((-284)/(-43452)) - 11.
6
What is the value of 3912/(-60)*-1 + 6*7/(-210) + -1?
64
Calculate (-40 + (-5060)/(-132))*((-396)/10)/(-6).
-11
What is the value of -325*(-335)/217750 + (-118)/36 + 1?
-16/9
What is (-39)/65*-5 - -11 - 6/(-2)?
17
(49/(-616))/(896/(-256))
1/44
Evaluate (-2 - 366/30)*(735 + -740).
71
What is the value of ((-48)/(-1386))/((-1552)/(-2716))?
2/33
What is (-18*(-9)/405)/(7074/(-270))?
-2/131
Calculate (98/255 + 12/(-30))/((-7)/(280/(-48))).
-2/153
Calculate (85/(-20) + 5 + 3920/576 + -9)*3.
-13/3
What is 56/95760*30*(-6)/6?
-1/57
What is -782*(-5)/620 - 7 - (-9)/18?
-6/31
Evaluate (-5)/110*(-3660)/6405.
2/77
Calculate (15/7)/((-46445)/(-1820644)).
84
Evaluate (-13)/(-176) + (819/(-462))/13.
-1/16
Calculate 217442/(-3749) - (-26)/1.
-32
128/594 + (-44)/(-132)*(-19)/209
5/27
What is the value of (1554 + -1560)*7/(-24) - (747/1092 - -1)?
6/91
What is 33 - ((-252)/9 - -96)?
-35
Evaluate 1100/88 - (-20 + 1840/56).
-5/14
Calculate (34 - 23)*(-24960)/(-2112).
130
What is the value of (-3)/(-5)*((-27755)/(-3087) - 9)*(-18)/12?
2/245
Calculate (-12)/8*((-1681)/(-210) + 40 + (-54 - -6)).
-1/140
Evaluate 10/45 + ((-4)/(-378))/((-10010)/624 - -16).
-2/63
Evaluate ((-35306)/52959)/((-4)/(-14)).
-7/3
What is (-26)/2 - (64/2048*-40 - (-5796)/(-496))?
-2/31
What is (((-280)/25)/8)/(11/55)?
-7
Calculate (-67*(-110)/11055)/((-4)/10 - 1/(-3)).
-10
Calculate 27/(-6)*8/(-77)*(-148)/444*-7.
12/11
(-53)/21 - (((-236474)/(-343))/38 - 18)
-8/3
((-7904)/156 - -51)*-21
-7
Calculate (-15)/10 + 11649/(-462) + 28.
9/7
(44/7)/(24/4) + (-159 - 40678/(-258))
-2/7
What is the value of -21 - 5 - ((-69)/3 + -43)?
40
Evaluate (15 + 189/(-35))/((-1)/(-40)*8).
48
What is 14/(-20)*(-49)/((-13377)/(-975))?
5/2
Evaluate (-114)/(-931)*((-1449)/(-42) + -35).
-3/49
(-770)/20*(-11)/693*-72
-44
9171/(-51969)*(-136)/3756
2/313
What is the value of (45 - 6384/144)*(-24)/(-1)*35/10?
56
What is (205/(-20) - -10) + ((-6)/(-8))/((-39)/(-949))?
18
Evaluate 5/25*410/(-23493)*3.
-2/191
(122/44 + -1 - (-505)/(-202)) + 2/(-11)
-10/11
Evaluate (1/2)/(1205/(-9640)).
-4
Evaluate (3/(-40))/((-3)/15)*(4 + -8).
-3/2
Calculate (-1)/(-35)*(-86)/(9030/(-735)).
1/5
(2106/(-72))/13*(22 - 12276/550)
18/25
What is the value of (3 - 546/(-52)*-8)*(-2 - 0)/(-30)?
-27/5
(104/12 - 8)*((-2535)/(-30) + -14)
47
What is the value of ((-163)/(-652) - 2/(-4)) + -1?
-1/4
What is 6250/10000 - (-1018)/(-16)?
-63
Calculate (3/21 + (-226)/112)*460/345.
-5/2
What is the value of 1614/26 + (-313)/4069?
62
Evaluate (4/(-10))/(59 + 761635/(-12925)).
-11/2
Calculate 88 + -155 - (-855)/(-19).
-112
What is 651/(-56)*(108/(-81) - (1 - 3))?
-31/4
What is ((-360)/990)/(22/(-1573))?
26
What is -1241 - -1188 - (2 + 6/8)*(-10 - -6)?
-42
Calculate (-2)/111 + (-53)/(4671102/(-280679)).
19/6
Evaluate 4838/(-11316)*23 + 5/6 + -1 - -3.
-7
Calculate 1*-3*(25 - 3465/189).
-20
Calculate ((14/(-126))/((-5)/2))/((-410)/200 + 2).
-8/9
What is ((-1179)/825300)/(-4 + (-155)/(-40))?
2/175
((-6552)/(-315))/26*2/(-68)
-2/85
What is (-130)/1625*(-8)/(-56)?
-2/175
What is the value of (3/(-171))/(44946/(-77634))?
1/33
17840/4683 - (0/(-2) - -7) - (-2 - 1)
-4/21
What is the value of 23 - (-6)/3*12*(-36)/40?
7/5
What is 45/(-18)*((-1)/(-4))/(1/(80/(-25)))?
2
(-310)/2325*(52516/(-8664) + 4/6 - -5)
1/19
Calculate (-6)/78 - (12 - (-16038)/(-286)).
44
Evaluate 28/(-1106) + 314870/(-32153) - 8/(-1).
-20/11
What is the value of (-18 - 7566/(-429))/((-68)/(-12) + -5)?
-6/11
What is the value of 996/((-2739)/(-33)) + 0 + (-338)/28?
-1/14
What is the value of (0 - -118) + (693/(-45) - (1296/(-60))/9)?
105
((-8)/52 + 1011/(-780))/(1621/(-16210))
29/2
What is -8*(-67 + (-12874)/(-164))?
-92
Calculate ((-8)/22 - (16 + (-13104)/1188))*60/(-220).
16/11
Evaluate 169 + -178 + (-4 + 1)*-16.
39
What is 608/(-6) - (-20762 - -20656)?
14/3
What is the value of (-9)/(-84)*(12384/432 - 12/6)?
20/7
What is the value of 3*2 - (2/6)/((-9)/(1372 + -76))?
54
What is the value of (8/16)/(7/1036*-2)?
-37
Evaluate (114/8 - -4)/(28 + (-5424)/192).
-73
Evaluate (135/(-150) + 5/10)*40/304*-2.
2/19
Calculate (5/(-18))/(-18 + (-4726)/(-272)).
4/9
Calculate (12922/(-13))/(-14) - ((-8)/((-8)/(-7)) + -4).
82
Evaluate ((-3)/((-9)/2))/(77 - 14941/201).
1/4
What is ((-8492)/(-736) + -11 - 32/(-368))*4?
5/2
What is the value of (0 - -2)*-2*(-90)/(-40)*20/1305?
-4/29
What is 2/(-3) + 97/(-194) + 2540/2136?
2/89
Calculate 1534540/13241340 - 2*(-2)/124.
4/27
Calculate (1 - 0)*5966/50711.
2/17
What is ((-24 - 9) + 5)*(-37)/(-74) - -105?
91
What is (-1515)/3636*(-1620)/25?
27
(22 - -2) + (-119 - -60) + 3
-32
Evaluate (2/43 - 0) + 16106382/(-2903876).
-11/2
What is the value of (4212/4914)/(2/(-7) - 1)?
-2/3
Evaluate 208/(-80) + 430/50.
6
11528/36025*750/24
10
(6 - (-34)/(-9))/(-2) + 561184/24282
22
Evaluate (130 + 136560/(-1050))*-1855.
106
What is the value of 120/(-620)*(-4)/12 - (-562)/(-62)?
-9
Calculate (-27768)/(-229620)*215/10.
13/5
Calculate ((13 - 12)/1)/((117/(-612))/13).
-68
What is the value of (-96)/74*((-6183)/324 - -19)?
4/37
Evaluate -1463 + 1493 - 1312/44.
2/11
What is 4/(-8) + (70 - (-2205)/(-30))?
-4
-20 + (0 - 38/(-10)) + (117/(-39))/(-15)
-16
What is (-25326)/924*(-8)/18 - (23 - 5 - 6)?
2/11
What is (1 - 2)*(-365)/(-5) + 16 + (5 - 11)?
-63
-104*(6403/(-342) - -19 - 12/(-54))
-52
(-3)/(-2) - (1240/93 + -14)*(-51)/(-4)
10
(-5)/(-100)*-6 + (-64)/(1074560/(-5767))
1/23
363584/2608320 + ((-8)/(-11) - 1)
-2/15
Calculate (-1)/(2/18)*(-29 + (-1258)/(-51) - -7).
-24
(-136)/14*(36050/(-500))/103
34/5
What is 8778/125818 - (-154)/258?
2/3
What is (-4 - 1/(-1)) + -3 - ((-293664)/(-2261) + -136)?
2/17
What is the value of (-1688)/(-112) + (-4)/56 + 32/(288/(-945))?
-90
What is (-52815)/(-1470) - ((-78)/(-52) - (-22)/(-14))?
36
What is ((-5090)/12725)/((-137) | {
"pile_set_name": "DM Mathematics"
} |
earest one hundred?
228300
What is -0.672325 rounded to 1 dp?
-0.7
Round -12601.875 to the nearest 100.
-12600
Round 169.368 to the nearest 100.
200
What is 45326430 rounded to the nearest 10000?
45330000
What is -1025007000 rounded to the nearest 1000000?
-1025000000
Round -180658.69 to the nearest 1000.
-181000
What is 5.38839 rounded to 1 dp?
5.4
Round -9319.96 to the nearest one thousand.
-9000
Round -2.623861 to 1 dp.
-2.6
What is 0.01335725 rounded to three decimal places?
0.013
Round 12558840 to the nearest one hundred thousand.
12600000
What is 0.7176625 rounded to 3 dps?
0.718
Round 4669.11 to the nearest ten.
4670
Round 42334950 to the nearest 100000.
42300000
What is 38.9344 rounded to 1 dp?
38.9
What is 207.6436 rounded to the nearest ten?
210
What is 105661 rounded to the nearest 10000?
110000
Round 7934780 to the nearest 10000.
7930000
What is -26.04237 rounded to the nearest integer?
-26
Round -3.559159 to 2 decimal places.
-3.56
What is 5545915 rounded to the nearest 10000?
5550000
Round 0.02752517 to five dps.
0.02753
What is -342940000 rounded to the nearest one million?
-343000000
What is 58116.1 rounded to the nearest 10000?
60000
Round -0.036294 to 1 dp.
0
What is -189.4786 rounded to the nearest ten?
-190
Round -3708250 to the nearest 100000.
-3700000
What is 0.49189195 rounded to two dps?
0.49
What is -0.02580186 rounded to 4 decimal places?
-0.0258
What is -190708.7 rounded to the nearest 100?
-190700
What is 1.648467 rounded to the nearest integer?
2
What is 0.00233626 rounded to 4 dps?
0.0023
What is -0.66732 rounded to 1 decimal place?
-0.7
What is 464086.2 rounded to the nearest one hundred?
464100
What is 0.044476 rounded to three dps?
0.044
Round 0.329247 to 2 decimal places.
0.33
What is -57221.8 rounded to the nearest one thousand?
-57000
What is 4890 rounded to the nearest 1000?
5000
Round -576.74 to the nearest 100.
-600
What is 0.005702488 rounded to 4 dps?
0.0057
Round 2349.686 to the nearest 100.
2300
Round 40.859 to the nearest 10.
40
Round -74525250 to the nearest 1000000.
-75000000
What is -0.0000938747 rounded to six dps?
-0.000094
Round 31950600 to the nearest 1000000.
32000000
Round 1688.243 to 0 dps.
1688
Round -447571100 to the nearest 1000000.
-448000000
What is 1.989996 rounded to 1 dp?
2
What is -0.0010132034 rounded to six dps?
-0.001013
Round -0.000160153 to 6 decimal places.
-0.00016
Round 11440.6 to the nearest 10.
11440
What is -0.036822834 rounded to 2 decimal places?
-0.04
What is -546.85559 rounded to the nearest integer?
-547
Round 11842703.4 to the nearest 100000.
11800000
Round 0.28165054 to four dps.
0.2817
Round -0.004801706 to four dps.
-0.0048
What is 0.00000138386644 rounded to seven decimal places?
0.0000014
What is 0.0001317889 rounded to four decimal places?
0.0001
What is -345630 rounded to the nearest ten thousand?
-350000
Round 0.00018928499 to 7 decimal places.
0.0001893
Round 16.708563 to 1 dp.
16.7
Round 0.07128863 to two dps.
0.07
What is 0.08195581 rounded to 2 decimal places?
0.08
Round -1035.185 to the nearest 100.
-1000
Round 3821.269 to the nearest 100.
3800
What is -15365.52 rounded to the nearest 10?
-15370
What is 6176826 rounded to the nearest ten thousand?
6180000
What is -0.0017247363 rounded to five decimal places?
-0.00172
What is 1320.721 rounded to the nearest ten?
1320
What is 3463.4305 rounded to the nearest ten?
3460
What is -482444000 rounded to the nearest 1000000?
-482000000
What is -25342000 rounded to the nearest 1000000?
-25000000
What is 0.0000024985014 rounded to 7 decimal places?
0.0000025
What is -209345.4 rounded to the nearest one hundred?
-209300
What is 9.01878 rounded to two dps?
9.02
What is -13200330 rounded to the nearest 1000000?
-13000000
What is 0.03736 rounded to the nearest integer?
0
Round 1.1117887 to four dps.
1.1118
What is -0.006167899 rounded to 3 decimal places?
-0.006
Round 0.01959255 to 4 dps.
0.0196
What is 0.00000268741 rounded to six dps?
0.000003
Round 0.0010499809 to five dps.
0.00105
What is -5883.93 rounded to the nearest 10000?
-10000
Round -0.00003861184 to 6 decimal places.
-0.000039
Round 122512700 to the nearest 100000.
122500000
Round 6144.45 to the nearest ten.
6140
What is -2393793 rounded to the nearest 1000?
-2394000
What is -11.7188893 rounded to 3 decimal places?
-11.719
Round -81304 to the nearest 1000.
-81000
Round 0.000019959983 to 6 dps.
0.00002
What is -103.17097 rounded to the nearest 10?
-100
What is -0.8283149 rounded to one dp?
-0.8
What is 0.000000965545 rounded to seven decimal places?
0.000001
What is -397670 rounded to the nearest one hundred thousand?
-400000
Round -0.000011645651 to seven decimal places.
-0.0000116
Round -1.3171764 to 2 decimal places.
-1.32
What is 0.000005881882 rounded to six dps?
0.000006
Round -0.0176425 to three dps.
-0.018
What is -0.000633977 rounded to four dps?
-0.0006
What is -2.142056 rounded to 1 decimal place?
-2.1
What is -1.203517 rounded to 3 dps?
-1.204
What is 1801575.6 rounded to the nearest one million?
2000000
What is 0.00001946212 rounded to 6 dps?
0.000019
Round 256629.2 to the nearest 1000.
257000
Round 5.82094 to the nearest integer.
6
What is -0.549996 rounded to three dps?
-0.55
Round -3691743 to the nearest 100000.
-3700000
What is -629.9487 rounded to the nearest ten?
-630
What is 331976.5 rounded to the nearest 100000?
300000
What is 0.00621653 rounded to 4 dps?
0.0062
What is -36482.34 rounded to the nearest 100?
-36500
Round 0.0560833 to 3 dps.
0.056
Round -0.360794 to three dps.
-0.361
What is 0.010817192 rounded to four decimal places?
0.0108
Round -0.0009046137 to 4 dps.
-0.0009
Round 1774148 to the nearest one million.
2000000
What is 89251100 rounded to the nearest 100000?
89300000
Round -0.013156792 to two dps.
-0.01
Round -0.00012126349 to seven decimal places.
-0.0001213
Round -28049.7 to the nearest one thousand.
-28000
Round -130.912 to zero dps.
-131
Round -28411.3 to the nearest one hundred.
-28400
What is -260920 rounded to the nearest one hundred thousand?
-300000
What is -5694267 rounded to the nearest ten thousand?
-5690000
What is -14.14022 rounded to one decimal place?
-14.1
Round -341.884 to the nearest ten.
-340
What is -1257956.5 rounded to the nearest ten thousand?
-1260000
Round -161307 to the nearest 100.
-161300
Round -30.047 to 1 decimal place.
-30
Round 3258613 to the nearest 100000.
3300000
Round 0.00504446 to 4 dps.
0.005
Round -5646290 to the nearest 1000000.
-6000000
Round 0.722343 to two dps.
0.72
Round -8147.7942 to 0 dps.
-8148
Round -11690.8 to the nearest one hundred.
-11700
Round 0.01213053 to four dps.
0.0121
Round -4753800 to the nearest one million.
-5000000
What is -56470 rounded to the nearest 100000?
-100000
What is 1080880 rounded to the nearest ten thousand?
1080000
Round -11266.757 to the nearest 10.
-11270
Round -0.09061201 to 5 decimal places.
-0.09061
Round -0.0002483312 to 4 dps.
-0.0002
Round 10385.22 to the nearest 1000.
10000
What is -0.11193233 rounded to 4 dps?
-0.1119
What is 29042635 rounded to the nearest 10000?
29040000
What is -0.00001000622 rounded to six decimal places?
-0.00001
What is 0.000000222788 rounded to seven dps?
0.0000002
What is -78617.2 rounded to the nearest one hundred?
-78600
What is -127.42352 rounded to zero dps?
-127
Round 0.010838285 to two dps.
0.01
What is 0.059178 rounded to two dps?
0.06
Round 0.7385101 to 1 dp.
0.7
Round 62765.84 to the nearest 10000.
60000
Round -266.055 to the nearest one hundred.
-300
What is 0.00001444493 rounded to 6 decimal places?
0.000014
What is -0.000313578 rounded to five dps?
-0.00031
Round -0.001011361 to 4 dps.
-0.001
What is 150.1712 rounded to zero decimal places?
150
What is -0.0000533935 rounded to seven dps?
-0.0000534
Round -989.228 to the nearest integer.
-989
What is -0.00000035912 rounded to seven dps?
-0.0000004
What is 0.1813101 rounded to 1 dp?
0.2
What is 26686.7 rounded to the nearest one thousand?
27000
What is -11.710063 rounded to 3 decimal places?
-11.71
Round -1534122.06 to the nearest ten thousand.
-1530000
What is -3.82469 rounded to three decimal places?
-3.825
Round 0.0020044163 to four decimal places.
0.002
What is 566294300 rounded to the nearest one million?
566000000
What is 5.1715 rounded to | {
"pile_set_name": "DM Mathematics"
} |
s the closest to 0.45? (a) -8 (b) -13.3 (c) 11
a
What is the closest to -8/3 in -2, -7, 2928, 2/9?
-2
Which is the closest to 5/67? (a) -3/5 (b) -5 (c) -0.4 (d) -0.5 (e) 1/15
e
What is the closest to -7 in -285, -5, 3043?
-5
Which is the closest to 0.1? (a) -1310 (b) -0.4 (c) -36/5 (d) -0.2 (e) -1 (f) 1
d
Which is the nearest to 4? (a) 0.12 (b) -0.2 (c) 22 (d) -48 (e) 1/6
e
Which is the nearest to -0.1? (a) 2/49 (b) -0.5 (c) -0.2 (d) -0.92 (e) 29
c
Which is the nearest to 1/106? (a) -1 (b) 4 (c) -0.072 (d) 0.308
c
Which is the nearest to -0.1? (a) 1.4 (b) -1.04115 (c) 12
b
What is the closest to 273 in 4, -4, -2, 1778?
4
What is the closest to 1726 in 5/2, -0.05, -0.3, -2?
5/2
Which is the nearest to -1356? (a) -3 (b) -0.2 (c) 92 (d) -9/7
a
What is the nearest to 2 in -2210, -0.3, -4, 1/1884?
1/1884
Which is the closest to 2/5? (a) 3/91 (b) 176.815 (c) -0.5
a
Which is the nearest to 0? (a) 23133 (b) 2/17 (c) 4 (d) -1 (e) -0.1
e
What is the nearest to 61 in 2/5, -3.5, 23, -0.02?
23
Which is the closest to 8? (a) -7 (b) -4/225 (c) 0.16
c
Which is the closest to -8? (a) 0.1 (b) 0.07875 (c) 2 (d) -1 (e) -5
e
What is the nearest to 2/1421 in 4/5, 0.2, 5/6, -5, 643?
0.2
What is the nearest to -27 in -0.4, 464, 2, -20, 0.4?
-20
What is the closest to -4.8 in 10, -0.5, -510?
-0.5
Which is the nearest to -4/3? (a) -2/9 (b) 2 (c) 44373 (d) 107/5
a
What is the nearest to 49.636 in -3, 0.5, -4, -1, 3?
3
Which is the nearest to -38? (a) 0.5 (b) -0.3 (c) 0 (d) 3/5 (e) -129 (f) 3
b
What is the closest to 1/2 in 11, 3294, 6.6, -3, -0.1?
-0.1
What is the nearest to -3 in 10, 81, 0.4, 15/7?
0.4
What is the closest to -0.1 in -47470, 2, -1, -0.09, 0.1?
-0.09
Which is the closest to 1/2? (a) 209 (b) 1 (c) -1040 (d) 0.4
d
Which is the closest to 2/3? (a) 22215 (b) 2/7 (c) 3 (d) 2/9
b
Which is the closest to -1? (a) 0.2 (b) -4 (c) 151 (d) 150 (e) 10
a
Which is the closest to -15? (a) 0.1 (b) -42924 (c) -2/19 (d) 0.4 (e) 8
c
What is the nearest to 1 in -2, -0.3, 3/2, 15550.57, 1?
1
What is the nearest to 0.1 in -30, 2/9, 1046?
2/9
Which is the nearest to -1/39? (a) -0.016 (b) -2 (c) 0.1 (d) 0 (e) 0.2
a
Which is the nearest to 5/4? (a) -1/2 (b) 43.7 (c) -0.1 (d) -2/5
c
Which is the closest to -2/49? (a) 3 (b) 5/6 (c) 824.25
b
Which is the closest to 1? (a) -7/10 (b) -4 (c) 0 (d) 47 (e) 132
c
What is the closest to -2797 in -5, -3/5, 8, 3, 2?
-5
What is the nearest to -2 in -1, 2/9, 2/1723403?
-1
Which is the closest to 41.42? (a) -0.3 (b) -5 (c) 16 (d) -3
c
Which is the nearest to -81? (a) 1/3 (b) 8755 (c) 0.01 (d) -0.2 (e) 2/7
d
What is the nearest to -2/3 in -68, 0.032, -100?
0.032
Which is the closest to -51? (a) -1029 (b) 0.042 (c) -0.04
c
What is the nearest to -1 in 7/3, 0.0209451, -3?
0.0209451
What is the closest to -6/5 in -3/8, -2, -1580, 0.064, 5, 1/4?
-2
Which is the closest to 134? (a) 0.05 (b) 14 (c) 1/7 (d) 0.1 (e) -7 (f) -20
b
Which is the nearest to -0.1? (a) 1/5 (b) 0.6 (c) -5 (d) -21189 (e) 0.4
a
Which is the closest to 17/31? (a) -15 (b) -0.3 (c) 2 (d) -21.8
b
Which is the closest to -1/2? (a) 0.05 (b) -0.4 (c) 75526 (d) 3 (e) 0.5
b
What is the closest to -1 in -4, -3/80, -3/4, 32, 1?
-3/4
Which is the nearest to 0.1? (a) -0.4283 (b) -3/5 (c) 2/189 (d) -2/5
c
Which is the nearest to -0.04? (a) -3 (b) -0.2 (c) 851 (d) 228
b
What is the nearest to 1 in 676379, 16, 1/16?
1/16
What is the nearest to -1 in 0.18, -413, 27/2, 0.2?
0.18
What is the nearest to 1046 in 6, -6/5, 2/17?
6
What is the closest to 92118 in -6/5, 2/7, -4/3, -4?
2/7
Which is the closest to -3.1? (a) -1/2 (b) 0.3 (c) -7/16 (d) -6
a
What is the closest to 34 in 0.08, 2/17, -3/5, 2/155, -1?
2/17
What is the nearest to -1/16 in -0.00319, -1, 3?
-0.00319
Which is the nearest to -1/8? (a) -2/21 (b) 515 (c) 11
a
What is the nearest to 0.2 in -1/4, 5, -3/28, 0.02, 1/10, -5/79?
1/10
Which is the closest to -7? (a) 2/3 (b) -0.2 (c) 70289 (d) -0.5
d
What is the nearest to -185 in 2/177, 4, -1.1, -0.1?
-1.1
Which is the closest to 0? (a) -0.1 (b) -4.851 (c) 53/4 (d) -5
a
What is the closest to 2/13 in -615, -6/5, -0.3?
-0.3
What is the closest to 5/3 in 0.2, -10, 96, 19/2?
0.2
What is the closest to -2/7 in 4, 15218, -3/13, 2/15?
-3/13
What is the nearest to -3.3 in -1536, 0.03, 0.2, -1?
-1
What is the closest to -2 in -32/11, 0.4, -3, -27?
-32/11
Which is the closest to -1? (a) 1330 (b) 1 (c) 2 (d) -6 (e) -1 (f) -9
e
Which is the closest to -60? (a) 488 (b) -6 (c) -4 (d) 2
b
What is the closest to -73 in 1, 4, -168?
1
What is the closest to -3279479 in -7, -5, 4, -1/3?
-7
Which is the closest to -33? (a) -5 (b) 0.1484 (c) 0.5 (d) -2/19 (e) 0.2
a
What is the closest to -40/359 in -11, 34, 2?
2
What is the closest to 0 in -1.6, 3/737, 1, -0.012?
3/737
Which is the nearest to -2/3? (a) 2 (b) 0 (c) -91 (d) 0.3 (e) -20/191
e
What is the closest to 0.3 in -4/7, -334, 2025?
-4/7
Which is the closest to 31306? (a) -0.4 (b) -0.3 (c) 1/6 (d) -0.2 (e) -2 (f) -0.055
c
What is the nearest to -37 in 4, 1, 3/4, -2, 331?
-2
Which is the closest to 30/59? (a) -0.4 (b) -2/45 (c) 3/5 (d) 3/7
d
What is the closest to 3 in 0.4, 3031871, 4, 12?
4
What is the closest to 9 in -0.3, -2/11, -304035?
-2/11
Which is the nearest to 1? (a) 6/5 (b) 2/13 (c) -3/20 (d) 1084 (e) 0.4
a
What is the closest to 0.02 in 108.8, -2/15, 3/4, -2/7, 0?
0
Which is the closest to 2/5? (a) -3 (b) -27522 (c) -0.1 (d) 7
c
What is the nearest to 0.1 in 1/4, -3600, -54?
1/4
Which is the nearest to 0.03518? (a) -3/4 (b) 5.4 (c) 3.9 (d) -4 (e) 0.04
e
Which is the closest to 2/7? (a) -5 (b) -0.3 (c) 2 (d) 2962 (e) 0.4 (f) -16/13
e
What is the nearest to 155/3 in -3, 0.01, -50, 0.5?
0.5
Which is the closest to -2/67? (a) 3/4 (b) 4 (c) 0.5 (d) 72911
c
Which is the nearest to 2/3? (a) 0.07 (b) 3 (c) -1.3 (d) 72
a
Which is the closest to 1? (a) 1 (b) -2 (c) -0.5 (d) -231 (e) 0 (f) 11
a
What is the closest to 2 in -3, -9, -109, 2.12, -2/7?
2.12
What is the nearest to -0.26 in -5, 2, 15, -7/5, -2/9?
-2/9
What is the nearest to -19 in -0.5, -31, 54646/11?
-31
What is the closest to -1/5 in -0.2293, -16, -0.5, -0.6, -2/3?
-0.2293
Which is the nearest to -1/2? (a) -10/57 (b) -22 (c) 0.3 (d) 1/55
a
What is the nearest to 2 in 0, 0.09, -2521, 0.2, 1?
1
What is the nearest to 17 in -0.88, 2910/11, 2/5?
2/5
What is the closest to -0.1 in 1/6, 8228, 12/107?
12/107
Which is the closest to 2/7? (a) 1507 (b) 0.42 (c) 40
b
What is the closest to -1/4 in -5, -0.26, 40, -30, 2/17?
-0.26
What is the nearest to 275 in -6, 1/427, -0.6?
1/427
What is the closest to -12 in -29851/2, -0.4, -2?
-2
Which is the nearest to -83/74? (a) 11/3 (b) -4/5 (c) -4 (d) -7/5
d
Which is the nearest to -0.1? (a) 0 (b) 2/5 (c) 4.4 (d) -51/7 (e) -0.1
e
Which is the nearest to -16? (a) 3/7 (b) -0.5 (c) 208623
b
Which is the nearest to 2? (a) 758 (b) -5/4 (c) 589 (d) -1/6 (e) 0 (f) 1/3
f
What is the closest to 0.18 in 0.3, 0, -5.7319, -4, -2?
0.3
What is the closest to -6 in -1.888, -4, -467?
-4
Which is the nearest to -298? (a) 5 (b) 19 (c) 2/7 (d) 2/5 (e) 8 (f) -0.04
f
Which is the nearest to 0.08? (a) 7 (b) 0.016 (c) -22.8 (d) 0 (e) 4/5
b
What is the closest to 1 in -2/1163, -8, -0.5, -2, 0.2?
0.2
What is the nearest to 0 in 6.471, -6/23, 5, -36, -2, 1?
-6/23
What is the closest to -1 in -16/9, -0.3, 0.418977?
-0.3
Which is the closest to -0.09? (a) -4/203 (b) -1/14 (c) 3/4 (d) -106
b
Which is the nearest to -1? (a) 72 (b) -3 (c) -1222.9
b
Which is the nearest to -5/6? (a) 0.4 (b) -1145 (c) 11 (d) -11.1
a
What is the closest to 1/175 in 4, 1, -0.4, -1/9, -44?
-1/9
Which is the nearest to -0.49? (a) 0.04 (b) 3/4 (c) 25/2 (d) -4/3
a
What is the closest to 2 in -0.3113, 1, -0.3, -125/6?
1
Which is the closest to -193919? (a) 1 (b) 0.1 (c) 2/3 (d) 1.9 (e) -5
e
What is the closest to -3 in -5, 4, -177/4, 1/5, -1/4, -6.9?
-5
What is the closest to 9.21 in 0.1, -3, 4, 9, -14?
9
Which is the closest to -1? (a) 5 (b) 3 (c) -43 (d) -17789
b
Which is the nearest to -401? (a) -1/57 (b) 0.2 (c) 1 (d) -5 (e) 7/5
d
Which i | {
"pile_set_name": "DM Mathematics"
} |
.
-14*a
Let h(d) = 12*d - 8. Let n(a) = -4*a + 3. Let b(r) = -r. Let y be b(3). Let j(s) = y*h(s) - 8*n(s). Let f(t) = -9*t + 23*t - 15*t. Calculate f(j(m)).
4*m
Let q(y) = 3*y**2. Let n(w) = -w. Let a(k) = 4*k. Let o(u) = -3*a(u) - 15*n(u). Give o(q(f)).
9*f**2
Let f = 15 - 15. Let g(r) be the second derivative of 0 - r + 2/3*r**3 + f*r**2. Let l(o) = o. Calculate l(g(x)).
4*x
Let g(b) = -b**2. Let o(r) = 4*r + 9*r**2 - 4*r. Give g(o(a)).
-81*a**4
Let v(m) = 5*m - 3. Let k(y) = 2*y**2. Determine v(k(b)).
10*b**2 - 3
Let p(f) = f**2. Let i(r) = -41*r**2 + 4*r - 4. Let y(x) = 122*x**2 - 11*x + 11. Let c(o) = -11*i(o) - 4*y(o). Give c(p(q)).
-37*q**4
Let s(o) = 3*o. Let g(f) = -270*f**2 + 160*f. Let q(l) = -10*l**2 + 6*l. Let i(k) = -3*g(k) + 80*q(k). Give s(i(c)).
30*c**2
Let x(z) = 5*z**2. Let r be ((0 - 1)/7)/(90/(-21)). Let o(n) be the third derivative of r*n**5 + 0*n + 0 + 0*n**3 + 0*n**4 + n**2. What is x(o(v))?
20*v**4
Let k(y) = -28*y + 22*y + 14*y. Let v(f) = 2*f. Calculate v(k(d)).
16*d
Suppose 0 = -4*g + g + 6. Let a(u) = 2*u**2 - 2*u**2 - 4*u**g + 5*u**2. Let x(n) = 3*n. What is x(a(q))?
3*q**2
Let p(w) = 3*w**2 + 4*w. Let f(g) = 4*g. What is p(f(y))?
48*y**2 + 16*y
Let y = 4 + -2. Let b(i) = 0*i**2 - 5*i**y + 6*i**2. Let o(c) = 6*c. Let s(z) = 2*z. Let w(r) = 4*o(r) - 11*s(r). What is b(w(k))?
4*k**2
Let w(q) = -q**2. Suppose 9 = -5*l - 21. Let h = -5 - l. Let y(m) = -3*m**2 + 4*m - 4. Let j(s) = s - 1. Let x(i) = h*y(i) - 4*j(i). What is w(x(z))?
-9*z**4
Let w(o) be the third derivative of 0*o**3 + o**2 + 0 + 0*o + 1/10*o**5 + 0*o**4. Let f(m) be the third derivative of m**4/24 - 2*m**2. Calculate w(f(a)).
6*a**2
Let q(r) = 7*r**2. Let j(o) = 15*o + 10. Determine q(j(v)).
1575*v**2 + 2100*v + 700
Let v(u) = u**2 + 1. Suppose -q = -4*o + 1, 3*o + 2 = o - 2*q. Let l(b) = -2 + 0 + o. Let z(r) = -l(r) - 2*v(r). Let m(j) = -j**2. Give z(m(y)).
-2*y**4
Let r(v) = -7*v**2 + 4*v**2 + 10*v**2. Let b(x) = -4*x**2. What is r(b(a))?
112*a**4
Let n(m) = 3*m**2. Let u(c) = 14*c**2. Calculate n(u(j)).
588*j**4
Let h(b) be the third derivative of -b**4/12 - 21*b**2. Let p(v) = 2*v. What is p(h(i))?
-4*i
Let x(v) be the third derivative of -v**4/12 + 44*v**2. Let p(y) = -3*y + 5. Determine p(x(j)).
6*j + 5
Let n(g) = 2*g. Let o(y) = -196*y**2. Determine o(n(d)).
-784*d**2
Let w(x) = 6*x**2. Suppose -25 = 2*n - 7*n. Let z(h) = h - n - 3*h + 5. Determine z(w(a)).
-12*a**2
Let f(r) = -304*r. Let o(b) = 2*b**2. What is o(f(w))?
184832*w**2
Let k(s) = 2*s + 58. Let g(q) = -8*q**2. Calculate k(g(i)).
-16*i**2 + 58
Let r(p) be the second derivative of p**3/2 - p. Let k = -6 + 8. Let u(w) = 2 - w**k + 7 - 9. Determine u(r(s)).
-9*s**2
Let t(p) = -p + 1. Let z(l) = 2. Let h(k) = -2*t(k) + z(k). Let o(m) = 4*m. Calculate o(h(g)).
8*g
Let a(s) = -2*s**2. Let y(t) = -325*t - 3. What is y(a(m))?
650*m**2 - 3
Let o be -1 + (-2 + 3)*10. Let i = 13 - o. Let c(n) = -5*n + i*n + n + n. Let r(s) = 3*s**2. Calculate c(r(t)).
3*t**2
Let j(z) = 2*z**2. Let y(w) = 22*w - 3. Determine j(y(d)).
968*d**2 - 264*d + 18
Let s(z) be the second derivative of -z**6/360 + z**4/4 + 2*z. Let c(a) be the third derivative of s(a). Let p(f) = -f. Determine p(c(u)).
2*u
Let s(n) = 2*n**2. Let x(j) = -23*j**2 - 7*j + 7. Let y(p) = -11*p**2 - 3*p + 3. Let t(c) = -3*x(c) + 7*y(c). Determine s(t(z)).
128*z**4
Let s(f) = 31*f**2 - 22*f**2 - 16*f**2. Let z(w) = -5*w. Give z(s(a)).
35*a**2
Let s(y) = -24*y. Let z(g) be the third derivative of -g**5/60 + 39*g**2. Give z(s(c)).
-576*c**2
Let i(f) = -f. Let n(h) = 3*h**2 + 5*h**2 - 28*h**2 + 4*h**2. What is i(n(b))?
16*b**2
Let c(i) = 3*i. Let g(m) be the second derivative of 0 + 2*m + 0*m**2 - 1/6*m**3. Calculate g(c(a)).
-3*a
Let t(q) be the first derivative of q**3/3 - 5. Let w(g) = 7*g**2. Give t(w(k)).
49*k**4
Let v(f) = 4*f. Let t = 8 - 5. Let u(q) = 0*q - 2*q**2 + 3*q - t*q. Give v(u(s)).
-8*s**2
Let c(y) = 12*y. Let o(b) = 168*b**2. What is o(c(k))?
24192*k**2
Let g(o) = -o + 6*o - 3*o. Let j(b) = -2*b**2 + 3*b + 3. Let w = -8 - -7. Let i(x) = -x**2 + x + 1. Let k(n) = w*j(n) + 3*i(n). Calculate g(k(r)).
-2*r**2
Suppose 0*r + 28 = 4*x + 3*r, 3*x = 2*r + 4. Suppose 2*f - 8 = 2*j + 10, x*f = j + 24. Let s(v) = -v + v - f*v + 4*v. Let c(h) = -4*h**2. Give c(s(d)).
-4*d**2
Let s(c) = -10*c. Let p(b) = -4*b**2 + 0*b**2 + 6*b**2. Calculate p(s(q)).
200*q**2
Let b(i) = 3*i**2. Let d(h) = -107*h. Determine d(b(k)).
-321*k**2
Let r(p) = 0*p - 8*p + 18*p**2 - 3*p + 11*p. Let v(b) = -2*b + b**2 + 2*b. Give r(v(d)).
18*d**4
Let g(r) be the third derivative of -7*r**4/8 + 13*r**2. Let k(w) = w**2. Calculate g(k(j)).
-21*j**2
Let t(i) = 6*i. Let c(u) = -78*u**2 + 2*u. Give c(t(x)).
-2808*x**2 + 12*x
Let a(s) = 21*s**2. Let x(b) = -63*b. What is a(x(i))?
83349*i**2
Let m(p) = -17*p. Let o(w) = -54*w**2 - 2. Calculate o(m(u)).
-15606*u**2 - 2
Let u(h) = 2*h + 31. Let n(z) = z. Give u(n(c)).
2*c + 31
Let r(d) = d. Let b(c) = -2*c**2 + 2117. What is r(b(y))?
-2*y**2 + 2117
Let q(a) = 26*a + 2. Let h(f) = 3*f**2 + 13*f. Determine q(h(g)).
78*g**2 + 338*g + 2
Let r(v) = -v**2. Let q(y) = 784*y. Determine r(q(n)).
-614656*n**2
Let l(v) = 3*v. Let o(c) = -18*c. Give l(o(s)).
-54*s
Let d(n) = n**2 + 8*n - 7. Let m be d(-9). Let i(b) = 1 + 0*b**2 - 1 - b**m. Let u(w) = 2*w. Give i(u(g)).
-4*g**2
Let c(k) = -1479*k**2 + 1 + 1460*k**2 - 1. Let p(x) = 2*x. What is p(c(h))?
-38*h**2
Let a(x) = -x. Let w(p) = -34*p**2. Calculate a(w(j)).
34*j**2
Let k(c) be the first derivative of -2*c**3/3 - 4. Let n(o) = o**2. Give n(k(q)).
4*q**4
Let x(z) = -2*z**2. Let k(j) = -j + 3. Let c be k(-15). Let g(u) = -c*u + 4*u + 12*u. What is g(x(y))?
4*y**2
Let b(z) = -4*z**2. Let v(j) = -4*j**2 - 7*j. What is v(b(p))?
-64*p**4 + 28*p**2
Let j(q) = 4 - 4 + q. Let m(s) be the second derivative of s**4/3 - 2*s. Calculate j(m(z)).
4*z**2
Let x(j) = -1 + 1 + j**2. Let u(v) = -23*v + 11. Let b(z) = z + 1. Let m(r) = b(r) + u(r). Let f(d) = -9*d + 5. Let k(p) = -12*f(p) + 5*m(p). Give x(k(c)).
4*c**2
Let c(a) = a**2. Let n(s) be the second derivative of -23*s**3/6 + 11*s. What is n(c(v))?
-23*v**2
Let q(p) = p**2. Let k(d) = 8*d + 4. Let f(l) = 4. Let t(j) = 1. Let r(m) = f(m) - 3*t(m). Let v(c) = k(c) - 4*r(c). Give q(v(i)).
64*i**2
Let z(r) be the third derivative of 0*r**3 + 0 + 0*r + 1/24*r**4 + r**2. Let f(i) = -i**2. Calculate f(z(u)).
-u**2
Let p(u) = -2*u**2. Let x = 7 - 3. Suppose -x*g - 63 = -7. Let m(v) = -8*v. Let q(c) = -3*c. Let o(y) = g*q(y) + 5*m(y). Give p(o(r)).
-8*r**2
Let z(i) = 7*i + 48. Let b(q) = -2*q. Determine z(b(g)).
-14*g + 48
Let k(n) = 513*n**2. Let c(x) = 7*x**2. What is k(c(y))?
25137*y**4
Let h(y) be the first derivative of y**2 - 10. Let q(r) = -96*r. What is h(q(u))?
-192*u
Let s(t) be the third derivative of -19*t**5/30 - 6*t**2. Let g(v) = -v. Calculate s(g(h)).
-38*h**2
Let m(v) = 8*v**2. Let r(k) be the second derivative of 0 + 1/6*k**3 + 0*k**2 + 10*k. Determine r(m(t)).
8*t**2
Let x(a) = 356*a**2. Let o(z) = 2*z**2. Calculate x(o(w)).
1424*w**4
Let u(f) = 3*f + 3*f - 2*f - 6*f. Let l(p) = -30*p. Determine l(u(w)).
60*w
Let x(a) be the third derivative of a**4/12 + 2*a**2. Let s(k) be the third derivative of -k**5/60 - 21*k**2. Calculate x(s(o)).
-2*o**2
Let j(v) = 7*v. Let a(s) = -27*s. Give a(j(w)).
-189*w
Let c(u) = 9*u + 6. Let i(l) be the third derivative of 5*l**4/12 + 7*l**3/6 + 2*l**2. Let n(s) = 7*c(s) - 6*i(s). Let w(r) = -1 + 2*r + 1. Calculate w(n(f)).
6*f
Let g(j) = -3*j. Let u(v) be the second derivative of v**4/2 + 8*v. Give u(g(n)).
54*n**2
Let h(b) = -1436*b**2. Let a(k) = 2*k**2. Determine h(a(f)).
-5744*f**4
Let x(t) = -7*t + 6*t + 3*t. Let q(b) = -3*b**2. Determine x(q(a)).
-6*a**2
Let z(t) = 3*t**2 + 1. Let v(j) = 4*j. What is z(v(f))?
48*f**2 + 1
Let o(h) = -2*h**2 + h - 1. Let s(t) = 35*t**2 - 15*t + 15. Let c(g) = 30*o(g) + 2*s(g). Let l(y) = 2*y**2. Give c(l(j)).
40*j**4
Let q(j) = 5*j**2 + 6. Let v(a) = 45*a**2 + 55. Let k(p) = 55*q(p) - 6*v(p). Let t(o) = -10*o - 10*o + 18*o. What is k(t(r))?
20*r**2
Let q(d) = d - 2. Let h(g) = 11 - 2 - 8. Let c(a) = -2*h(a) - q(a). Let o(t) = 3*t. What is c(o(b))?
-3*b
Let s(q) = -q**2 - 2 + 2. Let t(f) = 2*f. Give s(t(r)).
-4*r**2
Let g(c) = c. Suppose 6 = n + 2. Let q(u) = -u. Let | {
"pile_set_name": "DM Mathematics"
} |
224 = -k. Let d = k - -993. Is d a multiple of 58?
True
Let y(t) = -46*t + 3. Let a be y(3). Suppose 40*z + 731 + 109 = 0. Let f = z - a. Does 38 divide f?
True
Suppose 0 = 2*o + 7*o - 72. Suppose 0 = f + 5*s - 64, -o*s + 3*s = -f + 34. Let u = -4 + f. Is u a multiple of 6?
False
Let g(m) = 23*m + 1959. Is g(17) a multiple of 10?
True
Suppose 15 = 2*y + y. Suppose -18 = y*l + 62. Let u = l + 83. Does 20 divide u?
False
Suppose -11*o = 7*o - 72. Suppose -5*g + 0*s = o*s - 96, -3*s = 3*g - 60. Is 2 a factor of g?
True
Suppose -r + 9*r - 6544 = 0. Let s = r + -554. Is s a multiple of 12?
True
Suppose 5*x - 5 = -p - 1, 53 = -4*p + 3*x. Let w(m) = -m**2 - 54*m - 11. Is 14 a factor of w(p)?
True
Let y(d) = 8*d**2 - d - 24. Let h = 249 + -255. Is y(h) a multiple of 30?
True
Suppose 0 = -2*i - s - 239, 0*i - 114 = i - 5*s. Let x = i - -229. Suppose x = 21*c - 16*c. Does 11 divide c?
True
Suppose 592*y = 593*y - 7. Let s(q) = -q**3 + 11*q**2 + 20*q - 12. Is s(y) a multiple of 23?
False
Suppose -1322*q + 44142 = -1280*q. Is q a multiple of 18?
False
Let q be (40/50)/((-2)/5). Let y be 4 + q + (-2 - -4). Suppose y - 148 = -w. Does 24 divide w?
True
Let o = 217 + 2582. Does 10 divide o?
False
Let b(g) = 11*g - 27. Let u(p) = 2*p - 1. Let x = 18 - 21. Let h(l) = x*u(l) - b(l). Is 39 a factor of h(-12)?
True
Let c be (-120)/(-48)*(1 + 1). Suppose 3*h - 20 + c = 0. Suppose 9*n = h*n + 32. Does 4 divide n?
True
Suppose 5689 = t + 22*j, 5*t - 7*t + 11462 = 2*j. Is 91 a factor of t?
True
Let j be -528*18*1/(-4). Suppose j = 22*u + 5*u. Does 4 divide u?
True
Suppose 12*d = 27 + 9. Let w be (d + -5)/(10/25). Let b = w - -23. Is b a multiple of 18?
True
Suppose 0 = -8*t + 55 + 17. Does 73 divide (3 - -524) + -13 + t?
False
Let f(q) = 4 + 276*q - 28*q + 27*q. Is f(1) a multiple of 9?
True
Let p be 238/4 + 6/(-36)*-9. Suppose -73*w + 2292 = -p*w. Is 23 a factor of w?
False
Let s be -1 - ((-12)/(-9))/(12/(-378)). Suppose 0 = -s*k + 44*k - 873. Is k a multiple of 48?
False
Let y be (-2 - -11)/((-21)/(-14)). Let x be (0/(-1 + y))/2. Suppose -3*t + 206 = 5*b - x*b, -2*t = -4*b + 156. Does 5 divide b?
True
Let i = -5796 + 6862. Does 49 divide i?
False
Let y be 1510/(-50) - (-1)/5. Is (-21897)/(-33) - y/(-55) a multiple of 39?
True
Suppose 2*t = 10*t - 7*t - 6413. Is t a multiple of 53?
True
Let g(l) = -29*l - 170. Let f be g(-6). Does 19 divide (266/28)/(f/88)?
True
Let w be 6 - 6 - 6486/6. Let j = w - -1560. Is 28 a factor of j?
False
Let d(b) be the second derivative of b**5/10 - 5*b**4/12 - 5*b**3/6 - 5*b**2/2 + 14*b. Let m = 166 - 161. Is d(m) a multiple of 19?
True
Let i(r) = -36*r + 219*r + 88*r. Is i(5) a multiple of 24?
False
Suppose 142663 = 31*v - 1057781. Does 42 divide v?
True
Does 17 divide 2/10*-30*45138/(-9)?
False
Let g(h) = -2*h**3 + 10*h**2 - 6*h + 6. Let i be g(4). Let k(c) = -3*c + 42. Let m be k(i). Suppose m*z - 342 = -3*z. Is 19 a factor of z?
True
Suppose 3*x = 4*v - 85060, -291*x = -2*v - 294*x + 42494. Is 209 a factor of v?
False
Let m(r) = -9*r**2 + 27 + 9*r + 14*r**2 - 4*r**2. Let f be m(-5). Does 47 divide f*(-1)/(-21) + 236/3?
False
Is 11 a factor of (-336)/21 + 17 - -22488?
False
Let h be (4 - (-1 + -2))/1. Suppose -p = -1 - h. Suppose 11*a - 405 = p*a. Is 27 a factor of a?
True
Suppose -22052 - 22498 = -15*t. Is 66 a factor of t?
True
Let s be 5 - 16/2 - (0 + -1266). Let q = s - 215. Suppose 5*g = -3*g + q. Is g a multiple of 19?
False
Suppose -4*d + 82*q - 77*q = -106150, 6 = -q. Does 26 divide d?
False
Suppose -15*s = -16*s + 6. Let l(y) = y**2 - 4*y + 30. Let d(r) = r**2 - 4*r + 29. Let q(a) = s*d(a) - 5*l(a). Is q(10) a multiple of 21?
True
Suppose 0 = -14*w + 16198 + 63168. Does 2 divide w?
False
Let o = -6563 - -7886. Does 8 divide o?
False
Suppose -17*j + 1042 = 226. Suppose -16*z - 1792 = -j*z. Is 55 a factor of z?
False
Let y(o) be the third derivative of -35*o**4/12 - o**3/2 - 38*o**2 + 3. Is 52 a factor of y(-11)?
False
Let p be 234/78 + -1*3. Does 8 divide (3 - -104 - 1)/(p - -2)?
False
Let y = -53 - -60. Suppose -4*z = -y*z - 312. Is 9/(-2 + (2 - 12/z)) a multiple of 5?
False
Let b(p) = 17*p - 10. Let m(z) = -16*z + 11. Let k = 93 + -99. Let i(w) = k*m(w) - 5*b(w). Does 22 divide i(8)?
False
Let m be (5 + 5)/((-235)/(-233) - 1). Suppose -30*r + 33*r = -3*d + 702, m = 5*r + 4*d. Is r a multiple of 15?
False
Let o(k) = 4*k**2 - 13*k - 15. Let h be o(-1). Is 1645/h*(-56)/(-70) a multiple of 27?
False
Let v be (15/1)/(-5) - (-6)/(-1). Let r(f) = -51*f - 272. Is r(v) a multiple of 11?
True
Suppose 22*m + 50*m - 534909 = -7*m. Does 15 divide m?
False
Let n(l) = -2*l + 20. Let z = -12 - 24. Let g be (16/z*3)/(1/6). Is 12 a factor of n(g)?
True
Let s(d) = 836*d**2 + 39*d + 82. Is 93 a factor of s(-2)?
True
Suppose 3 = -6*w - 57. Let u(y) = 2*y**2 + 11*y + 14. Let v be u(w). Let n = v - 57. Is 4 a factor of n?
False
Suppose 935*f + 9686 = 936*f. Is f a multiple of 133?
False
Suppose 9*q = 4*q + 5*o + 78095, -4*q - 3*o + 62511 = 0. Does 93 divide q?
True
Let q be (0 + 1)/(5/15). Let b(i) = q*i + i + 2*i + 7 - 5*i. Is b(-2) a multiple of 5?
True
Let a(l) = l**3 + 18*l**2 + 14*l + 82. Does 211 divide a(13)?
False
Suppose 5*h = u + 28604, 341 = -4*u + 325. Is 13 a factor of h?
True
Suppose -3*y - 49 = -3*u + 311, -3 = -3*y. Suppose u - 721 = -3*p. Suppose 5*f - p = -0*f. Is 5 a factor of f?
True
Suppose -k + 367*w + 1835 = 370*w, 1835 = k - 3*w. Does 5 divide k?
True
Let d(j) = 2*j**3 - 7*j**2 + 4*j - 10. Let f be 135/6*(-8)/(-6). Let w be (-2*4/(-24))/(2/f). Is 7 a factor of d(w)?
False
Let q(r) be the first derivative of r**2/2 + 86*r + 13. Is 3 a factor of q(26)?
False
Let y = 348 + 104. Suppose y = 643*q - 641*q. Is q a multiple of 6?
False
Let x be 41596/(-14) + 10/70. Let p = -1997 - x. Does 15 divide p?
False
Let x(b) = b**3 + 10*b**2 + 10*b + 13. Let q be x(-9). Let p(j) = 5*j**3 - j**2 - 17. Does 41 divide p(q)?
True
Let m = 51 + -16. Suppose u - 3*v + 103 = -4*u, u - 4*v + 24 = 0. Let s = u + m. Does 3 divide s?
True
Let x(q) = -2*q - 8. Let j be (-148)/18 + 5 + (-86)/18. Let c be x(j). Is (30/(-8))/(c/(-32)) a multiple of 4?
False
Let x(n) = 401*n + 6228. Is x(-12) a multiple of 8?
True
Does 5 divide 2 + 2113 + (-1)/(-3)*-12 + 4?
True
Let u(r) = r**2 - 5*r - 8. Let q(g) = 2 + 148*g - 296*g + 147*g. Let k be q(7). Is 21 a factor of u(k)?
True
Does 13 divide (14053/(-5))/((-152)/10 + 15)?
True
Let n(t) be the first derivative of -27*t**3/2 - 13*t**2/2 - 36*t - 30. Let y(a) be the first derivative of n(a). Does 39 divide y(-3)?
False
Let b = -10 + 10. Suppose b = -2*m - 51 + 49. Let f(p) = -72*p - 1. Is 28 a factor of f(m)?
False
Let b(a) be the second derivative of a**5/20 + 13*a**4/12 + 4*a**3/3 + 5*a**2 - 2*a. Let s(r) = -2*r**2 - 18*r - 28. Let o be s(-8). Is b(o) a multiple of 21?
False
Let a(o) = 19*o**2 - 21*o - 259. Is a(-11) a multiple of 18?
False
Let u(m) = 5*m**2 + 76*m + 601. Is u(-9) a multiple of 9?
False
Suppose 43*j + 1707698 = 141*j + 70706. Is 9 a factor of j?
True
Let m = 220 + -222. Does 51 divide (m + (-1270)/4)*(-10)/5?
False
Let i(x) = 10*x - 1. Suppose -4*c = -0*c + 92. Let s = c - -24. Is 2 a factor of i(s)?
False
Suppose 0 = 9*j - 13*j - 3672. Let p = j + 1335. Does 20 divide p?
False
Let b = 582 - 525. Suppose -2*t = t - 15. Suppose -4*q + t + 51 = -v, 3*v = -3*q + b. Is 3 a factor of q?
True
Let l = -21 - -43. Suppose -9*d + l = -14. Is 20/d*156/10 a multiple of 6?
True
Let a(x) = -5*x + 2. Let u be a(0). Let d(y) = 4 - 20 - 8 - 6*y + u*y**2 + 2. Is 9 a factor of d(-5)?
False
Let j be (-111)/(-12) - 2/8. Let t be ((-134)/(-6))/(-10*(-1)/330). Suppose -2*v + t = j*v. Is v a multiple of 7?
False
Let w = -12085 - -24244. Is 23 a factor of w?
False
Let y(l) = 87*l**3 + 22*l**2 - 4*l + 56. Is y(6) a multiple of 121?
False
Let s(l) = 2*l**2 + 89*l - 11. Is s(-81) a multiple of 49?
False
Is 78 a factor of (-123003)/(-21) + (-28)/98 - (-6 - -13)?
True
Suppose 53*o + 35*o + 154*o - 338800 = 0. Is o a multiple of 7?
True
Let b(s) = -28*s - 33. Let c = 166 - 176. Is 19 a factor of b(c)?
True
Let y = 20 - 18. Suppose -5*i + 2*m + y*m = -69, 2*i + m - 25 = 0. Let c = 3 + i. Is 16 a factor of c?
True
Let d(r) = -144*r - 5478. Does 22 divide d(-65)?
False
Let m = -30 - -33. Suppose 6 = -3*p - j - 2*j, 6 = -3*p + | {
"pile_set_name": "DM Mathematics"
} |
9. Let b = 54.027 - z. What is b rounded to 2 dps?
0.03
Let q = -651181 + 264964. Let s be 1813782 - 2*(-1)/2. Let m = s - q. Round m to the nearest 1000000.
2000000
Let x be -1 + (-8*(-5)/10 - 7803). What is x rounded to the nearest one thousand?
-8000
Let d be 5/1 - (0 - -3). Suppose -4*j - 8 = 0, -6249 - 9341 = -d*k - 5*j. What is k rounded to the nearest one thousand?
8000
Let x = 103246.69265 + -0.69265. Let z = 103244.09987 - x. Let k = z - -1.9. What is k rounded to 4 dps?
-0.0001
Let z = -12.7495 - -341.6185. Let v = z - 329. What is v rounded to two decimal places?
-0.13
Let m = 3522.347 - -0.653. Let i = m - 3522.2988. Let y = -0.7 + i. Round y to three dps.
0.001
Let v = 7459676 + -5136756. Let j = -2322939.99989 + v. Let w = -20 - j. Round w to four dps.
-0.0001
Suppose 2*h + 3*c + 8540006 = 0, 7*c - 3*c = -8. Round h to the nearest 100000.
-4300000
Let b = 453.92 - 0.92. Let q = 452.999803 - b. What is q rounded to five decimal places?
-0.0002
Let s = -18184 - -18181.94514. Let v = s + 1.97485912. Let b = v - -0.08. Round b to 7 dps.
-0.0000009
Let v = 408.9779 + -409. Round v to 3 dps.
-0.022
Let d = -41.9862 - -42. Round d to 3 dps.
0.014
Let b be (-15)/6*8/(-10). Let g be ((-7)/(-4))/(b/(-8)). Let a(d) = -d**2 + 2*d + 7. Let p be a(g). What is p rounded to the nearest 10?
-60
Let m = -225698 - -31439. Let y be -1 - -258*(-1002)/2. Let z = y - m. What is z rounded to the nearest 10000?
70000
Let m = -145.6273795 - -6.4942721. Let k = m + 62.13310658. Let l = 77 + k. Round l to seven decimal places.
-0.0000008
Let u = 10775548357 - 10775548481.99999933. Let n = 125 + u. Round n to seven dps.
0.0000007
Let g = -0.8 - -0.85. Let u = 66.0452 - 66. Let a = u - g. Round a to three decimal places.
-0.005
Suppose 31 - 1 = 5*h. Suppose 0*i + 2*i + 3*o = 325, -2*i - 2*o = -320. Suppose l - i = h*l + 5*u, -3*l - u = 91. What is l rounded to the nearest one hundred?
0
Let u = 0.193 + -0.19417. What is u rounded to 4 decimal places?
-0.0012
Let f = -782 + 1548. Let g = f - 807.84. Let o = g + 43. What is o rounded to one dp?
1.2
Suppose 4*y = 2*y - 34. Let w be -26 + 5/((-10)/(-4)). Let z = w + y. What is z rounded to the nearest 10?
-40
Let d = -4.872 + -0.028. Let v = d + -97.1. Let j = 101.99929 + v. Round j to four decimal places.
-0.0007
Let v = -2.26 + 0.16. Let x = -5.3 + v. Round x to the nearest integer.
-7
Let p be (-466)/(-5) - 1/5. What is p rounded to the nearest 10?
90
Let q = -0.9 + 0.89694. Round q to 4 dps.
-0.0031
Let w = -1.14319026 - 0.85680975. Let p = -3 - -5. Let q = w + p. What is q rounded to 7 dps?
0
Let f = 41 - 46.3. Let c = f - -5. Let q = c - -0.3002. Round q to 4 dps.
0.0002
Let k = 1.12 + -92.12. Let i = 16846658 - 16846748.99917. Let w = i - k. Round w to four dps.
0.0008
Suppose -2*t = 2*m + 8, -14 = 4*m - t + 22. Let k be (m/3)/((-16)/24). Suppose -5*x = -3*n + 16 - 303, 352 = -k*n - x. Round n to the nearest 10.
-90
Let u = -159.87 - 1.13. Let d = 160.833 + u. Round d to two dps.
-0.17
Let x = -2.39 - -103.39. Let t = x - 100.99951. Round t to 4 decimal places.
0.0005
Suppose -5*d + 32 + 43 = 0. Suppose -6*j + j = -d. Suppose 1800000 = j*n - 5*n. What is n rounded to the nearest one million?
-1000000
Let u = 30.05 - -0.55. Let k = 162.6 - u. Let t = -132.000106 + k. What is t rounded to 5 decimal places?
-0.00011
Let w = 0.222 - 32.022. What is w rounded to 0 dps?
-32
Suppose -4*n + s + s = -96588, 4*n = -2*s + 96572. Let g be 2/6 - n/(-15). What is g rounded to the nearest 100?
1600
Let i = -130 - -130.15. What is i rounded to 1 dp?
0.2
Suppose 0 = 2*j + j - 804. Let n be (j/3)/((-2)/(-15)). Round n to the nearest one hundred.
700
Let u = -12.8 + -1.2. Let c = -204.35142 + 190.351. Let z = u - c. Round z to four decimal places.
0.0004
Let r = -19 - -18.948. Let x = 3229.05066 - 3229. Let c = r + x. Round c to 4 dps.
-0.0013
Suppose -4650048 = 6*n - 5*n. Let o = 650048 + n. What is o rounded to the nearest one million?
-4000000
Let b = -0.05553 + 0.056. Round b to four dps.
0.0005
Let q = -25 - -25.692. Let i = -0.048 - q. What is i rounded to one dp?
-0.7
Let r be 4 + -3 + 2/2. Suppose 4*k - 5*t + 15 = -9, -r*t = 0. Let m be 2/6 + (-6239998)/k. Round m to the nearest 100000.
1000000
Suppose 0 = -5*d - 15, -4*i + 5*d + 2172 = 73. Let b = i + 2679. Round b to the nearest 1000.
3000
Suppose 18154 + 9846 = -2*b. What is b rounded to the nearest 10000?
-10000
Let u be 11*1 + (1 - 2). Suppose 0 = l - 6*l - u. Let c be -673 - l*(-6)/(-4). Round c to the nearest 100.
-700
Let k = 153818 - -346182. Round k to the nearest one million.
1000000
Let v = -18292.928957 - -18216.9289. Let s = v - -76. Round s to five dps.
-0.00006
Let u = 77582.87 + -76521. Let q = 1061.36991 - u. Let c = -0.5 - q. Round c to 5 dps.
0.00009
Let z = -174.9 - 7.1. Let b = 176.775 + z. Let q = 0.125 + b. Round q to the nearest integer.
-5
Let p = -28 - -11. Let l = 17.00000036 + p. Round l to 7 decimal places.
0.0000004
Suppose 0*n - 82800000 = -9*n. What is n rounded to the nearest one million?
9000000
Let n = -42582 + 255598. Let q be (3 - 1)*(-9)/(-6). Suppose -4*o = -q*w + n, -3*w + 2*o + 213008 = -0*o. Round w to the nearest 10000.
70000
Let f = 15716 - 15730.0096. Let u = -14 - f. What is u rounded to 3 dps?
0.01
Let u(i) = 169999*i**3 + 2*i**2 + i - 2. Let x be u(2). Let h be (x/(-12))/(2/(-18)). What is h rounded to the nearest one hundred thousand?
1000000
Let j = -3 - -2.2. Let t = 10.7422259 - 11.542225. Let a = j - t. What is a rounded to 6 dps?
-0.000001
Let p = -0.018 - 0. Let b = p - -0.438. Round b to one decimal place.
0.4
Let m = -0.015 - -0.01568. What is m rounded to 4 decimal places?
0.0007
Let d = -90 - -20. Let n = 69.951 + d. Round n to two dps.
-0.05
Let c = -2122 - -792. Round c to the nearest 1000.
-1000
Let t = -161342.1 - -2411669.1. Let o = t + -2250312.999944. Let r = o - 14. Round r to five decimal places.
0.00006
Let s = 4.544 - -0.056. Let w = -5 + s. Let g = w - -0.4024. What is g rounded to three dps?
0.002
Let c = 39 - 39.156. What is c rounded to two dps?
-0.16
Let y = -6 + 15. Let r = -836 + 845.019. Let i = r - y. What is i rounded to 2 decimal places?
0.02
Let i = 153 + -49. Suppose -x - c = -5*x - 129, 4*c = -4*x - i. Let b be -6*1/((-2)/x). Round b to the nearest ten.
-90
Let w = 9 - 7. Let i be ((-14)/4 - w)*-8. What is i rounded to the nearest 10?
40
Let m = 164.00113 - 164. What is m rounded to 4 decimal places?
0.0011
Let i = 0.0139 - -266.9861. Let s = i + -491. Let h = s - -233.3. Round h to the nearest integer.
9
Suppose -m - 2*d = -3*m - 416, -3*m = 3*d + 654. Let g be 1 + m/3 - 0. Round g to the nearest 10.
-70
Let x = -0.2 + 0.2012. Round x to 4 decimal places.
0.0012
Let v = -37 - -19. Let b = 18.0000038 + v. What is b rounded to six dps?
0.000004
Let f = 162 + -358. Let m = 131 + f. Let r = m + 64.9999951. What is r rounded to 6 decimal places?
-0.000005
Let l = -0.641 + 0.8006. Let j = 2 + -2.15. Let z = l + j. Round z to three dps.
0.01
Let k = 0.27956 - 0.28. Round k to four dps.
-0.0004
Let z = 0.019581 - 0.0199. What is z rounded to four decimal places?
-0.0003
Let a = -3.94 - -4. Let q = -0.06 + a. Let f = q - 0.0101. Round f to three dps.
-0.01
Let h = -15.9999989 - -16. What is h rounded to seven dps?
0.0000011
Let w = 274 + -253.9. What is w rounded to zero dps?
20
Let d(y) = 1 + y - 4*y**2 - y**2 - 1 - 5 - 95999*y**3. Let u be d(5). What is u rounded to the nearest 1000000?
-12000000
Let h(c) = -400393*c**3 - c**2 - 2*c - 1. Let l be h(-1). Suppose -l = -q + 169607. What is q rounded to the nearest one hundred thousand?
600000
Suppose -a = -4*s - 13, -4*a + 30 = -7*s + 2*s. Let z(p) = -p + 10. Let c be z(a). Round c to the nearest integer.
5
Let v = -374834.93725408 + 374835. Let r = v + 0.63725348. Let o = r - 0.7. Round o to 6 decimal places.
-0.000001
Let b = 2.1359 + -2.031. Let m = -0.117 + b. Round m to 3 dps.
-0.012
Let i be -8750000*((-6)/(-15) + 0). Round i to the nearest 1000000.
-4000000
Suppose -5*s - 3*j = -6, -2*s - s + j = 2. Suppose s*z - 456 = -z. Let o = 1176 - z. What is o rounded to the nearest one hundred?
700
Let x = -0.008 + 9.408. What is x rounded to the nearest integer?
9
Let a be 6/10 - (-1203)/(-5). What is a rounded to the nearest 100?
-200
Le | {
"pile_set_name": "DM Mathematics"
} |
e cube root of 8335970 to the nearest integer?
203
What is 2403058 to the power of 1/6, to the nearest integer?
12
What is the seventh root of 3353949 to the nearest integer?
9
What is the fifth root of 9000078 to the nearest integer?
25
What is 172969 to the power of 1/2, to the nearest integer?
416
What is the third root of 516086 to the nearest integer?
80
What is the square root of 191940 to the nearest integer?
438
What is the cube root of 10321564 to the nearest integer?
218
What is 7861283 to the power of 1/8, to the nearest integer?
7
What is the third root of 6423713 to the nearest integer?
186
What is 848983 to the power of 1/5, to the nearest integer?
15
What is the seventh root of 16717669 to the nearest integer?
11
What is 68190 to the power of 1/7, to the nearest integer?
5
What is 410163 to the power of 1/2, to the nearest integer?
640
What is the third root of 2723664 to the nearest integer?
140
What is 9493683 to the power of 1/3, to the nearest integer?
212
What is the ninth root of 152259 to the nearest integer?
4
What is 471267 to the power of 1/4, to the nearest integer?
26
What is the third root of 260592 to the nearest integer?
64
What is the ninth root of 288821 to the nearest integer?
4
What is the fifth root of 698774 to the nearest integer?
15
What is 467090 to the power of 1/4, to the nearest integer?
26
What is the square root of 6188733 to the nearest integer?
2488
What is 2068005 to the power of 1/3, to the nearest integer?
127
What is 4336 to the power of 1/5, to the nearest integer?
5
What is the square root of 737049 to the nearest integer?
859
What is the eighth root of 7874822 to the nearest integer?
7
What is 169488 to the power of 1/7, to the nearest integer?
6
What is the third root of 7683249 to the nearest integer?
197
What is 7381001 to the power of 1/7, to the nearest integer?
10
What is 163087 to the power of 1/3, to the nearest integer?
55
What is 10738288 to the power of 1/3, to the nearest integer?
221
What is the third root of 580125 to the nearest integer?
83
What is the ninth root of 766523 to the nearest integer?
5
What is 366988 to the power of 1/2, to the nearest integer?
606
What is 5724997 to the power of 1/3, to the nearest integer?
179
What is the seventh root of 3147503 to the nearest integer?
8
What is 2444528 to the power of 1/10, to the nearest integer?
4
What is the eighth root of 1742380 to the nearest integer?
6
What is 22019540 to the power of 1/10, to the nearest integer?
5
What is 8099402 to the power of 1/9, to the nearest integer?
6
What is 13708523 to the power of 1/3, to the nearest integer?
239
What is 268560 to the power of 1/6, to the nearest integer?
8
What is 166361 to the power of 1/3, to the nearest integer?
55
What is 12619097 to the power of 1/3, to the nearest integer?
233
What is 6097 to the power of 1/3, to the nearest integer?
18
What is 399628 to the power of 1/2, to the nearest integer?
632
What is 787833 to the power of 1/7, to the nearest integer?
7
What is 229008 to the power of 1/2, to the nearest integer?
479
What is the eighth root of 13582412 to the nearest integer?
8
What is the square root of 23055258 to the nearest integer?
4802
What is 2202389 to the power of 1/3, to the nearest integer?
130
What is 264540 to the power of 1/2, to the nearest integer?
514
What is 1017591 to the power of 1/3, to the nearest integer?
101
What is the square root of 2906339 to the nearest integer?
1705
What is 241684 to the power of 1/9, to the nearest integer?
4
What is 251025 to the power of 1/2, to the nearest integer?
501
What is the tenth root of 3202469 to the nearest integer?
4
What is the cube root of 284033 to the nearest integer?
66
What is the square root of 128609 to the nearest integer?
359
What is the cube root of 774343 to the nearest integer?
92
What is 336091 to the power of 1/3, to the nearest integer?
70
What is 284102 to the power of 1/2, to the nearest integer?
533
What is the eighth root of 5101581 to the nearest integer?
7
What is the third root of 2008675 to the nearest integer?
126
What is the square root of 17804 to the nearest integer?
133
What is 8536861 to the power of 1/4, to the nearest integer?
54
What is the ninth root of 472830 to the nearest integer?
4
What is 10096896 to the power of 1/5, to the nearest integer?
25
What is 460879 to the power of 1/3, to the nearest integer?
77
What is 3092305 to the power of 1/2, to the nearest integer?
1758
What is the cube root of 937901 to the nearest integer?
98
What is the square root of 25073334 to the nearest integer?
5007
What is 1717558 to the power of 1/8, to the nearest integer?
6
What is the fourth root of 26705 to the nearest integer?
13
What is the third root of 307180 to the nearest integer?
67
What is 600914 to the power of 1/3, to the nearest integer?
84
What is 8004881 to the power of 1/7, to the nearest integer?
10
What is the third root of 1857350 to the nearest integer?
123
What is 344357 to the power of 1/2, to the nearest integer?
587
What is 1009197 to the power of 1/4, to the nearest integer?
32
What is the third root of 2129532 to the nearest integer?
129
What is 434444 to the power of 1/2, to the nearest integer?
659
What is 747366 to the power of 1/8, to the nearest integer?
5
What is the third root of 935355 to the nearest integer?
98
What is 253927 to the power of 1/6, to the nearest integer?
8
What is 9408442 to the power of 1/8, to the nearest integer?
7
What is the square root of 92718 to the nearest integer?
304
What is the tenth root of 86421 to the nearest integer?
3
What is 1230060 to the power of 1/3, to the nearest integer?
107
What is 986411 to the power of 1/7, to the nearest integer?
7
What is the cube root of 6594743 to the nearest integer?
188
What is 36995992 to the power of 1/2, to the nearest integer?
6082
What is the square root of 31693613 to the nearest integer?
5630
What is 22954 to the power of 1/9, to the nearest integer?
3
What is 66348 to the power of 1/7, to the nearest integer?
5
What is the square root of 1757519 to the nearest integer?
1326
What is 3837750 to the power of 1/10, to the nearest integer?
5
What is 645067 to the power of 1/9, to the nearest integer?
4
What is the ninth root of 193034 to the nearest integer?
4
What is the fifth root of 3062855 to the nearest integer?
20
What is 5633765 to the power of 1/3, to the nearest integer?
178
What is the third root of 15993354 to the nearest integer?
252
What is the third root of 223626 to the nearest integer?
61
What is 51189 to the power of 1/3, to the nearest integer?
37
What is the seventh root of 1830874 to the nearest integer?
8
What is 13473 to the power of 1/7, to the nearest integer?
4
What is the eighth root of 23206649 to the nearest integer?
8
What is 354495 to the power of 1/7, to the nearest integer?
6
What is the seventh root of 818976 to the nearest integer?
7
What is the tenth root of 1118187 to the nearest integer?
4
What is the square root of 5570 to the nearest integer?
75
What is 208286 to the power of 1/3, to the nearest integer?
59
What is the cube root of 73786 to the nearest integer?
42
What is 1892232 to the power of 1/2, to the nearest integer?
1376
What is 481418 to the power of 1/2, to the nearest integer?
694
What is the square root of 354587 to the nearest integer?
595
What is the square root of 259231 to the nearest integer?
509
What is the cube root of 4033581 to the nearest integer?
159
What is the square root of 506544 to the nearest integer?
712
What is the eighth root of 97909 to the nearest integer?
4
What is 378912 to the power of 1/10, to the nearest integer?
4
What is the square root of 14018 to the nearest integer?
118
What is the square root of 1301416 to the nearest integer?
1141
What is the ninth root of 8903142 to the nearest integer?
6
What is the ninth root of 16153817 to the nearest integer?
6
What is the cube root of 233257 to the nearest integer?
62
What is the cube root of 15199959 to the nearest integer?
248
What is the square root of 2262635 to the nearest integer?
1504
What is the third root of 671002 to the nearest integer?
88
What is 198208 to the power of 1/3, to the nearest integer?
58
What is 333939 to the power of 1/10, to th | {
"pile_set_name": "DM Mathematics"
} |
= v + 22630. Is q a prime number?
False
Suppose -5*i + 3*k + 27 = 0, -k + 1 = 5. Suppose -4*f = -8*u + 5*u - 8225, -6175 = -i*f + u. Let y = -1117 + f. Is y a composite number?
True
Let a(b) = 12*b - 8. Let q be a(1). Suppose -q*g + 14818 = 2*d, -d - 5*g = -9269 + 1854. Is d a prime number?
False
Suppose -g + w = -5*g - 13, -3*g + 3*w = 21. Let l(u) = -4 - 65*u - 9 + 14*u. Is l(g) prime?
True
Let h(b) = 11*b**2 - 78*b**3 - 13 - 11*b - 6*b + 80*b**3. Let k(y) = 5*y**3 + 34*y**2 - 52*y - 40. Let t(x) = -8*h(x) + 3*k(x). Is t(11) a prime number?
True
Let u be ((-5)/15)/(6/(-769644)). Let d = 76785 - u. Is d composite?
True
Suppose -32785 = 3*w + 96980. Let b = -21008 - w. Is b a composite number?
False
Let g be -1 + (-5 + 6)*53211. Let c = g + -35667. Is c a composite number?
True
Is (-12 + 15)/(((-27)/370959)/(-3)) prime?
True
Let d = -507757 + 861246. Is d a prime number?
True
Let h = -524 + 529. Is 9/6 + h + 132015/6 prime?
False
Let b = -132567 - -357957. Is b/(-20)*4/(-6) - 0 composite?
True
Suppose 3*p - 6*p = -d + 218, -3*d - 3*p = -666. Let z(l) = -61*l - d*l + 3 - 1 + 37*l. Is z(-3) a prime number?
False
Let f = 928801 - 412002. Is f prime?
False
Let y be (6 - -2)/(-4) - -11. Suppose y*g - 21433 = 40280. Is g prime?
True
Let u(i) be the first derivative of i**3/3 - 3*i**2/2 - 5*i + 2. Let r(v) = -8*v**2 + 72*v - 13. Let t be r(9). Is u(t) a prime number?
False
Suppose -4*g + 2*u - 10 = 0, 5*u - 11 = 4*g - g. Is (-936 - -7)*g/(-2 + 3) prime?
False
Let b(d) = d**3 - 31*d**2 + 3. Let u be b(31). Suppose u*v - 9*q = -4*q + 4063, 0 = -2*v - 3*q + 2734. Is v a composite number?
False
Let w(n) = -534*n - 45. Let b be w(13). Let s = -4658 - b. Suppose a - 2*l = 2325, a + 0*l - 3*l - s = 0. Is a a prime number?
False
Suppose 3*l + 169694 = -179*c + 183*c, 127260 = 3*c + 3*l. Suppose 0 = -5*y - 47*f + 42*f + 70710, 3*y = f + c. Is y prime?
False
Let c be 26/(-4) - (-1)/2. Let u be 4 + (-2)/c - (-3)/(-9). Suppose -u*x + 1507 = 3*z, 2*z - 771 = -2*x - 3*z. Is x a prime number?
True
Let s(y) = -y. Let j(a) = -171*a - 45. Let u(i) = -j(i) + 4*s(i). Let k(r) = 83*r + 22. Let g(h) = 7*k(h) - 3*u(h). Is g(14) prime?
False
Let b(y) be the first derivative of 10*y**3/3 - 4*y**2 - 5*y + 346. Let l be (-10)/(-20) + (-42)/(-4). Is b(l) prime?
True
Let s(o) = 5154*o**2 + 2*o - 4. Let r be s(2). Suppose 2*m + 9588 = 2*u, 3*u = -2*m + r - 6259. Is u composite?
False
Let l be (-26)/(-6) + 1/(-3). Suppose -5*j + 37070 = 5*c, -l*j + 2*c - 3577 = -33215. Is j a prime number?
True
Let a = 9562 - -85209. Is a composite?
False
Suppose -26*j = -351 + 39. Is 6346/j + (-9)/(-54) a prime number?
False
Let i = 1074626 + -703469. Is i a composite number?
True
Suppose 3*z - 138894 = -3*f, 2*z - 9 = -7. Is f composite?
True
Let j be 258*(1 - 0) + 0 + -3. Let c = -98 + j. Is c a prime number?
True
Suppose 2*z - 19132 = 4*m, -2*m + 5*z - 4783 = -m. Let y = -236 - m. Is y a prime number?
True
Let w(s) = 51628*s**2 + 108*s + 211. Is w(-2) a composite number?
True
Let f(p) = 2749*p - 3. Let n be f(2). Suppose 3*h - 90 = -2*h. Suppose 0 = 13*k - h*k + n. Is k a prime number?
False
Is (-158)/(-7)*1560755/190 prime?
False
Let h = 41 - 34. Let g be (-4 - 4552/14) + 1/h. Is -52 + 54 - g/((-2)/(-2)) prime?
True
Let n(d) be the second derivative of 67*d**3/6 - 7*d**2/2 + d. Let p(h) = -h**2 - 57*h - 452. Let x be p(-47). Is n(x) a composite number?
True
Suppose 3*l - 818829 = -3*z - 229314, 3*z + 4*l = 589521. Is z a prime number?
True
Let m = -405 + 391. Is 2084/(-10)*(35/m)/1 prime?
True
Let a be 266/(-14)*(-38 + 1). Suppose 0 = -u + 2 - 0, 0 = x + u - a. Suppose -2*d = -d - x. Is d a composite number?
False
Suppose 2*o + 2*o - 12 = 0, -4*i + 638 = -2*o. Is i prime?
False
Suppose 0 = -3*n + 5*k + 1075067, 0 = -2*n + 17*k - 13*k + 716714. Is n a composite number?
False
Is (-10)/(-12) + (7940744/48 - 14) + -4 a prime number?
False
Suppose 0 = -5*m + 8 + 7, 3*y = 5*m - 6. Suppose -27 = -4*k + v, 2*v - y*v - 33 = -5*k. Suppose 0 = 2*r + k, 0*b = b - 2*r - 2639. Is b a composite number?
False
Let z(b) = 158*b + 9. Suppose -7*h = -3*h. Let n = h + 7. Is z(n) prime?
False
Suppose 91*n + 43*n - 13250015 = -23*n. Is n composite?
True
Suppose -3*u + 199 = -5*r, -5*u = -7*u - 2*r + 106. Suppose u*q + 6671 = 65*q. Is q composite?
False
Let z(j) = 41*j + 44*j + 8*j + 7. Suppose -u = -0*u - 4. Is z(u) composite?
False
Let v(z) = z**2 - 8*z - 2. Let u be v(9). Suppose r + 5*k + u = 0, -r = -3*r + 5*k + 31. Suppose -6*t + r*t = 148. Is t prime?
False
Let v be ((-8)/16)/(216596/(-216592) + 1). Let a = -10315 + v. Is a a composite number?
False
Let l = 252213 - 161464. Is l composite?
False
Let g be (27658/(-4))/((-11)/(-528)*-4). Suppose 0 = 67*q - 61*q - g. Is q a composite number?
False
Let p be (8/(-2))/((-2)/1683). Let s(f) = -3*f**3 - 3*f**2 + 22*f + 31. Let i be s(-6). Let z = p - i. Is z prime?
True
Suppose 2 = -6*a + 14. Suppose 3*f - 65 = -5*o + a*f, 0 = -5*o - 2*f + 70. Suppose -6*c + o*c - 4506 = 0. Is c prime?
True
Suppose -24*l = 4*l - 84. Suppose -4*f + 7088 = 5*u, 2*f - 3422 = l*u + 144. Is f composite?
False
Let x(w) = 6*w + 83. Let d(s) = -2*s - 28. Let n(u) = 11*d(u) + 4*x(u). Let y be n(-11). Suppose y*t = 4*t + 8, -4*t - 2233 = -3*v. Is v a prime number?
True
Let n = 214 + -161. Suppose 4*l + n = o, 0*o = 3*o - 2*l - 199. Is o composite?
True
Let x = 11698 - 7103. Let c = 15988 - x. Is c a prime number?
True
Suppose -2*m - 104991 = -o, -51*m = -4*o - 54*m + 419909. Is o a composite number?
True
Suppose -517*w - 1916805 = -532*w. Is w composite?
True
Suppose -13 = -3*u + n, u - 2*n = -3*u + 20. Suppose -12452 = -4*s - u*m - m, -2*m - 3116 = -s. Suppose -4*f + 10*f = s. Is f a prime number?
False
Let p = 139 + 49. Suppose -4*k + 820 = 4*l, -5*l - 431 = 2*k - 4*k. Suppose 12*b - p = k. Is b a prime number?
False
Suppose -44*m + 30306512 + 58069301 = -17066359. Is m a composite number?
True
Suppose 5*i - 4*h = i - 3980, -3*i - 2987 = -2*h. Let o = 1451 + i. Suppose -3*q + o = -299. Is q composite?
False
Let x = 483 + -480. Suppose x*q - 9797 = 2*y, -3*y - 1645 - 1630 = -q. Is q a prime number?
False
Let b = 212 + -150. Let c = -56 + b. Suppose l = -c*l + 329. Is l a composite number?
False
Let k(f) be the third derivative of 101*f**4/24 + 3*f**3/2 - 2*f**2. Let z = -601 - -603. Is k(z) a composite number?
False
Let j = 17 - 17. Let i be 2/(-1) - (-6 - j). Suppose 647 = i*v - a, 5*v - a + 295 - 1103 = 0. Is v composite?
True
Let n = -24 - -28. Let w be 9807/n + (-4)/(-48)*3. Suppose -4*s + 3*s = -5*r - w, -2*r - 4880 = -2*s. Is s composite?
False
Let t(k) = 574*k - 21. Let l(x) = -x**3 - 11*x**2 - 23*x - 44. Let c be l(-9). Is t(c) composite?
True
Suppose -3*j = -5*w + 605288, -w = 26*j - 21*j - 121052. Is w prime?
False
Suppose -3*m = -m - 20. Suppose -2912*j + 21 = -2905*j. Suppose -8*l = 4*r - m*l - 11750, -j*r - l = -8820. Is r composite?
False
Let s(g) = -g**2 + 12*g + 2. Let q be s(0). Is (645/45)/(q/6) composite?
False
Suppose 17*r = 2*r + 6095432 + 6810673. Is r prime?
False
Let c be (-2112)/(-8) + (0 - -5). Let y be c + 3 + -2 + 1. Suppose -3*x + 1282 = y. Is x prime?
True
Let p be 2112 - 4/8*-2. Let j = p + 886. Is j prime?
True
Let d = 4414741 - 3082820. Is d a prime number?
True
Suppose 0 = 5*d - 7*d + 14. Suppose -f = -4*n + 8, 0*f + 10 = -2*f + 5*n. Suppose -d*m + 6 + 2059 = f. Is m a prime number?
False
Suppose -32 = -t + 12. Let b(s) = 108*s + 91. Is b(t) a prime number?
False
Suppose -5*a - 4*h + 2087075 = 0, -5*a + 1200853 = -3*h - 886257. Is a a prime number?
True
Is (4 - -3 - -4) + 1138800/10 a composite number?
False
Let w(m) = m**3 + 18*m**2 - 8*m - 9. Let o(j) = -7*j - 59. Let p be o(-8). Let u(l) = -2*l**2 + 2*l + 8. Let x be u(p). Is w(x) prime?
True
Let a be ((-1)/(24/20612))/(3/(-18)). Suppose c - 12900 = -5*z, 0 = 2*z - 0*z - c - a. Is z a composite number?
False
Let n be 20/(-6)*(-5 + 118/(-10)). Suppose -38*g - 34218 = -n*g. Is g composite?
False
Let o = -1168 - -2807. Is o prime?
False
Let y(r) = r**2 + 5*r + 9. Let n be y(-2). Suppose -n*q + 7 = 7. Suppose 4*z + 4*x - 4336 = 0, -4*x - 19 + 7 = q. Is z a composite number?
False
Suppose 0 = w + 5*t - 5, -4*w + 10*t - 4 = 6*t. Suppose -n + 4 = w, -2*x + x - 5*n = -6258. Is x composite?
True
Is (-1 - 0 - | {
"pile_set_name": "DM Mathematics"
} |
29 - -0.128614. What is q rounded to four dps?
-0.0004
Let t = -20 - -15. Let o = t + 4.99916. What is o rounded to 4 decimal places?
-0.0008
Let y = 817 - 817.02942. Let v = 0.029 + y. What is v rounded to 4 dps?
-0.0004
Let v = -123 - -122.3. What is v rounded to 1 dp?
-0.7
Suppose -4*m - 160 = -5*a, -m = -4*a - 17 + 145. Suppose -s + a = 642. What is s rounded to the nearest 100?
-600
Let a = 12 - 12.5. Let l = a + 0.556. Round l to 2 dps.
0.06
Let m = -0.0576 + -2.9549. Let t = 7 + -4. Let c = t + m. What is c rounded to three decimal places?
-0.013
Suppose -2*g = -300 + 100. Round g to the nearest 10.
100
Let v = -47001 + 80601. What is v rounded to the nearest 1000?
34000
Suppose -2*d + 30000009 = 3*x, 0*d - 4*x = -d + 14999988. Let v be -1*(-4 - -4) + d. What is v rounded to the nearest 1000000?
15000000
Let p = 1354 + -1342.94. Let w = p + 0.44. Round w to the nearest integer.
12
Let t(v) = -v**3 + 5*v**2 - 4*v + 2. Let n be t(4). Suppose -i = -n*i - 48. Round i to the nearest ten.
-50
Let p = 0.05950086 + 2.24050024. Let f = p - 2.3. Round f to six dps.
0.000001
Let c = 0.4364371 - 0.2764358. Let w = -0.16 + c. Round w to 6 dps.
0.000001
Let a = 0 + 0. Let g = a - 1. Let x = -1.00001 - g. What is x rounded to 6 decimal places?
-0.00001
Suppose 5*v + 5*w + 395 = 0, v = -5*w + 6 - 81. Round v to the nearest ten.
-80
Let a be (127*-6)/(4/422). Suppose -2*p = -0*p - 1160782. Let f = a + p. What is f rounded to the nearest 1000000?
1000000
Suppose 0 = -3*d - t - 11396, -d = -0*d - 4*t + 3816. Round d to the nearest 1000.
-4000
Let a = -36 + 35.987. Round a to two dps.
-0.01
Let r(z) = -168757*z**2 + z - 11. Let y(j) = -168756*j**2 + j - 10. Let b(x) = -6*r(x) + 7*y(x). Let l be b(4). What is l rounded to the nearest one million?
-3000000
Let g = 12 - 11.72. Let c = -3.82 - g. Let x = c - -2.4. What is x rounded to 0 decimal places?
-2
Let i = -32.00000204 + 32. Round i to seven decimal places.
-0.000002
Let j(v) = -2*v**3 - v**2 - v. Let o be j(-1). Suppose n + o*f + 530 = 4*f, 5*n + 2622 = -4*f. Let d = n + 256. What is d rounded to the nearest one hundred?
-300
Let z = 0.05 - 0.05000077. Round z to seven decimal places.
-0.0000008
Let j = 6.7 + -6.70037. Round j to 4 dps.
-0.0004
Let z = 0.03 - -1.57. Let j = z + -1. Let s = j + 0.2. Round s to 0 decimal places.
1
Let w(t) = -96*t**3 + 2*t**2 - 2*t. Let y be w(3). What is y rounded to the nearest 100?
-2600
Let b = 109 + 701. Suppose 0 = j - 2*j + b. Round j to the nearest one hundred.
800
Let b = 0.5484 - -8.3376. Let w = 9 - b. Let v = w + -0.1. Round v to 3 decimal places.
0.014
Let f = -0.1 + 0.1. Let a = 0.051 - 0.055. Let s = f - a. What is s rounded to 2 dps?
0
Suppose -3*y = -3*m + 21012, -4*y - 4*m - 28012 = -7*m. Round y to the nearest one thousand.
-7000
Let x = 75.1800495 - 161.1800573. Let d = x + 86. Round d to six decimal places.
-0.000008
Let a = 0.03 - -0.65. Let c = a - 0.641. What is c rounded to 2 dps?
0.04
Let o be 2*-1 + (18010 - -2). Suppose 0 = 5*h + 8990 + o. What is h rounded to the nearest 1000?
-5000
Let x = 1 + -8.7. Round x to the nearest integer.
-8
Let r(q) = -q**3 - 5*q**2 - 1. Let f be r(-5). Let n(d) = -940001*d**2 - 2*d - 1. Let k be n(f). Round k to the nearest 100000.
-900000
Let f = 58 - 57.9999829. Round f to 6 decimal places.
0.000017
Let n = 90 + -164. What is n rounded to the nearest ten?
-70
Let p = 1.8 + 5.2. Let z = p + -7.005. Round z to two decimal places.
-0.01
Let y = 76394791.96000067 + -76394833.96. Let a = -49 - -7. Let m = y - a. Round m to seven decimal places.
0.0000007
Let v = 0.53499 + -21624.53499. Let l = 21717.27 + v. Let z = 94 - l. What is z rounded to 1 decimal place?
0.7
Let w = 0.797 - 0.87. Let j = w - -6.873. Let i = j + -6.7999961. Round i to six decimal places.
0.000004
Let r = -454.000934 - -454. Let k = r - 2.6991. Let x = k - -2.7. Round x to 5 decimal places.
-0.00003
Let u = -785128 - -1355128. Round u to the nearest 100000.
600000
Let v = 12 + -8. Suppose 1073821 = -v*a - 36926179. What is a rounded to the nearest 1000000?
-10000000
Let o = 11.104 - 11. What is o rounded to 2 dps?
0.1
Let t = 40000 + -2991. Suppose 0 = -0*o + 2*o - 8. Suppose 4*r = -o*f - f + 148015, -r + t = 3*f. What is r rounded to the nearest ten thousand?
40000
Let i = 92.000098 + -92. Round i to 5 decimal places.
0.0001
Let n = 25 - 11. Let d = n + -14.000034. What is d rounded to 5 decimal places?
-0.00003
Let d be 250/((3 - 4)/120). What is d rounded to the nearest 10000?
-30000
Let b = -18709 - -31709. What is b rounded to the nearest ten thousand?
10000
Let r(p) = -348*p + 2. Let i be r(-1). What is i rounded to the nearest 100?
400
Let l = -1613343639 + 1613360044.20002. Let m = 16408.2 - l. Let s = m - 3. Round s to 4 decimal places.
0
Let c be 0*(1/2)/1. Suppose c = -y + 3*y + 1220. Round y to the nearest 100.
-600
Let h = 10006466 + -14406466. Round h to the nearest one million.
-4000000
Let y = -6 - -14. Let h = y - 7.9915. Round h to 3 decimal places.
0.009
Let c = 295.468536 - 248.46846. Let j = c - 47. Round j to five dps.
0.00008
Let g(a) = -1653*a**2 - 3*a - 4. Let d(h) = -826*h**2 - h - 2. Let n(b) = -5*d(b) + 2*g(b). Let x be n(-2). What is x rounded to the nearest 1000?
3000
Let n = 2.75 - 3.2. What is n rounded to 1 decimal place?
-0.5
Let i be (-4 - -5)/(1/(-1)). Let m = i - -5. Suppose -250000 = -g - m*g. What is g rounded to the nearest ten thousand?
50000
Let g(j) = j**2 - 3*j. Let v be g(4). Suppose -2*q - q = p - 1041, -v*p + 4215 = -5*q. What is p rounded to the nearest one hundred?
1100
Let l be (224/10)/((-1)/(-5)). Suppose 2*u + 4 = -l. What is u rounded to the nearest ten?
-60
Let c = 6.2 + -6. Let y = c - 0.200018. Round y to five dps.
-0.00002
Let b(w) = -8*w**2 - 35*w**3 - 2*w + 31*w**3 - 18 + 8*w. Let q be b(-8). Round q to the nearest 100.
1500
Let n = 0.095 + -0.095426. Round n to four dps.
-0.0004
Let c = 4 - 38. Let n = c - -33.948. Round n to 2 decimal places.
-0.05
Let i = 8 + -7.99858. Round i to four dps.
0.0014
Let f = 15623958 - 29510568. Let r = 13886557.0000027 + f. Let p = r - -53. Round p to six dps.
0.000003
Let u = -0.6 + 0.72. Round u to 1 dp.
0.1
Let y = -16.71 + -0.29. Let r = 16.966 + y. Let f = r - -0.05. Round f to 2 decimal places.
0.02
Suppose y + 1142 = 3542. Let g be y/(-3 - 1128/(-375)). Suppose -g = b + 2*b. Round b to the nearest 100000.
-100000
Let m = -412397 + 114323. Let i = -298074.50000025 - m. Let y = -0.5 - i. Round y to seven dps.
0.0000003
Let m = -0.386 - -0.38600179. Round m to 7 decimal places.
0.0000018
Let p = 42.98 + 13.12. Let h = p + -9.1. Let w = 47.76 - h. What is w rounded to 1 decimal place?
0.8
Let q(p) = -7445*p**2 + 3*p - 4. Let g be q(3). What is g rounded to the nearest 10000?
-70000
Let f = -8680 + 8792.07. Let y = f - -1.93. Let j = y - 124.8. What is j rounded to the nearest integer?
-11
Let j = -212.1372072 - -252.137201. Let l = j + -40. Round l to 6 decimal places.
-0.000006
Let a be (1 + 4/(-2))*-10. Let l = -7 + a. Suppose -i - 3*i = 2*b - 8002, 4*i - 8003 = -l*b. Round i to the nearest ten thousand.
0
Let f = -10.15 + 11. Let w = f + 0.05. What is w rounded to 0 dps?
1
Let t(v) = -3999*v - 5. Suppose 0 = -5*q + 7 - 2. Let o = q - -4. Let w be t(o). What is w rounded to the nearest 10000?
-20000
Let r(x) = 8 - 1566*x + 13017*x + 2381*x. Let h be r(6). Round h to the nearest ten thousand.
80000
Let g(s) = -37500*s. Let h(o) = -o. Let n(v) = -g(v) + 1000*h(v). Let r be n(2). Round r to the nearest ten thousand.
70000
Let a = 1.56 - 69.56. Let o = a - -67.9999937. What is o rounded to 6 decimal places?
-0.000006
Let d be (302*-2)/((-1)/4246). Let t = d + -8864584. What is t rounded to the nearest 1000000?
-6000000
Let z be -742 - 1*(0 - -2). Suppose -692 = 5*v - 7*v. Let o = v - z. What is o rounded to the nearest one hundred?
1100
Let j = 246.99999889 - 247. Round j to 7 decimal places.
-0.0000011
Suppose -4*l - 7720 = -5*i, -1544 = -i + 3*l + l. Let y = i + -774. What is y rounded to the nearest 100?
800
Let z(h) = 93516*h**2 - h - 2. Let o be z(-2). Let k = 550064 - o. Round k to the nearest ten thousand.
180000
Let h = 0.1 - 0.2. Let u = h + 0.14. Let z = 0.04 + u. Round z to 2 decimal places.
0.08
Suppose m - 2*x + 7 = -4*x, 28 = m - 5*x. | {
"pile_set_name": "DM Mathematics"
} |
- 57*g**3 + 20*g**3.
-g**3
Collect the terms in -30*k**3 + 4 + 28*k**3 - 4.
-2*k**3
Collect the terms in -68*d**2 + 14*d**2 + 19*d**2.
-35*d**2
Collect the terms in -2*w - 27*w**2 + 25*w**2 + 11*w**2 + 2*w.
9*w**2
Collect the terms in -6*k**3 + k**3 + 4*k**3 - k**3.
-2*k**3
Collect the terms in -41*n + 133 - 66 - 67.
-41*n
Collect the terms in -4*o + 18*o - 17 + 12.
14*o - 5
Collect the terms in -77*t + 146*t - 74*t.
-5*t
Collect the terms in 2 + 12 - 14 - 6*y**3.
-6*y**3
Collect the terms in -584807 + 4*w + 584807.
4*w
Collect the terms in -122*f**3 + 250*f**3 - 126*f**3.
2*f**3
Collect the terms in 20039*z + 2*z**3 - 20039*z.
2*z**3
Collect the terms in 2*k + 6*k + k - 7*k.
2*k
Collect the terms in -17*z**2 + 14*z**3 + 17*z**2.
14*z**3
Collect the terms in -86*g + 30 - 30.
-86*g
Collect the terms in -228*f**2 - 226*f**2 + 466*f**2.
12*f**2
Collect the terms in 116*r + 109*r + 108*r + 137*r - 467*r.
3*r
Collect the terms in -104*q + 0 + 0.
-104*q
Collect the terms in 67*b**3 - 347*b**2 + 345*b**2 + 2*b - 2*b.
67*b**3 - 2*b**2
Collect the terms in 9*f + 2*f**3 + 1 - 1 - 9*f.
2*f**3
Collect the terms in -1649*k**3 + 821*k**3 + 824*k**3.
-4*k**3
Collect the terms in -138*f**2 + 279*f**2 - 121*f**2.
20*f**2
Collect the terms in 2404 - 798 + x - 802 - 804.
x
Collect the terms in -478 + 3*m**2 - 5*m**2 + 478.
-2*m**2
Collect the terms in -2*r**3 - 51*r + 0*r**3 + 51*r.
-2*r**3
Collect the terms in 112*u**3 - 93*u**3 + 55*u**3.
74*u**3
Collect the terms in -184*u**2 + 368*u**2 - 182*u**2.
2*u**2
Collect the terms in 313 + 304 + 0*b**3 - 617 - 10*b**3.
-10*b**3
Collect the terms in y**2 - 2*y**3 + 0*y**2 + 3*y**2 + 6*y**3.
4*y**3 + 4*y**2
Collect the terms in 32*g + 3 - 3 - 25*g.
7*g
Collect the terms in 2*d + 3*d - 3*d + 0*d.
2*d
Collect the terms in -6*o**2 - 50*o + o**2 - o**2.
-6*o**2 - 50*o
Collect the terms in 98 - 98 + 26*k**3.
26*k**3
Collect the terms in 781 - 781 + 2*n**2 + 0*n**2 + n**2.
3*n**2
Collect the terms in 4*k**2 + 5*k**2 - 5*k**2.
4*k**2
Collect the terms in -4*o**2 - 85 - 80 + 165.
-4*o**2
Collect the terms in 12*r - 4*r - 9*r.
-r
Collect the terms in -11*l + 9*l - 6 + 22.
-2*l + 16
Collect the terms in 7477 - 7*a**3 + 2*a**3 - 7477.
-5*a**3
Collect the terms in 2754432*g - 2754432*g - 2*g**2.
-2*g**2
Collect the terms in 22*n + 31*n - 15*n.
38*n
Collect the terms in 83*q**2 - 12*q + 12*q.
83*q**2
Collect the terms in a**2 + 3*a - 15*a + 5*a + 7*a.
a**2
Collect the terms in 99 - 197 + 4*x + 98.
4*x
Collect the terms in -43 + 44 - 1 - x.
-x
Collect the terms in 21*b**2 + 20*b**2 - 247 + 247.
41*b**2
Collect the terms in 0*f - 1033*f**3 + 1035*f**3 + 0*f.
2*f**3
Collect the terms in 1 - s + 0*s - 2*s.
-3*s + 1
Collect the terms in -3 + 6 - 39*q**2 - 3.
-39*q**2
Collect the terms in 5*g**3 + 9*g**3 + 6*g**3.
20*g**3
Collect the terms in 4*w**3 - 20*w**3 + 12*w**3 - 2*w**2.
-4*w**3 - 2*w**2
Collect the terms in 7*l**3 - 14*l**3 + 144640*l - 144640*l + 8*l**3.
l**3
Collect the terms in 9*v + 6 - 6.
9*v
Collect the terms in -3 - 33*x - 52*x + 68*x.
-17*x - 3
Collect the terms in 4*i - 7881*i**2 - 4*i.
-7881*i**2
Collect the terms in 2*o**2 + 5*o**2 - 2*o**2.
5*o**2
Collect the terms in -16*g**2 - 7 - 72*g**2 + 7.
-88*g**2
Collect the terms in 27*o**2 + 30*o**2 + 23*o**2 - 81*o**2.
-o**2
Collect the terms in -116*k**3 + 193*k**3 - 82*k**3.
-5*k**3
Collect the terms in -28*d + 3*d**2 + 8*d + 12*d.
3*d**2 - 8*d
Collect the terms in -53 - d**3 + 86 - 33.
-d**3
Collect the terms in -27 + 20 + 8 - 9*x - 1.
-9*x
Collect the terms in 695*j + 692*j - 2076*j + 692*j.
3*j
Collect the terms in 4*n + n + 0*n.
5*n
Collect the terms in 6*y - 28*y + 15*y.
-7*y
Collect the terms in 2 - 9*z - 2 - 15*z + 18*z.
-6*z
Collect the terms in 379*w**2 - 9*w**3 - 379*w**2.
-9*w**3
Collect the terms in 68*n - 133*n + 71*n.
6*n
Collect the terms in -2*i + 2*i + 0*i + 41*i**3.
41*i**3
Collect the terms in -20 - 9 + 5*z**2 - z**2.
4*z**2 - 29
Collect the terms in 15*w - 22*w - 20*w.
-27*w
Collect the terms in 350*k**2 - 350*k**2 - 4*k**3.
-4*k**3
Collect the terms in -3*w**3 - 34*w - 37*w + 71*w.
-3*w**3
Collect the terms in 274116 + 4*k**2 - 274116 - 5*k**2.
-k**2
Collect the terms in -7*s + 0*s + s - s - 4*s**2.
-4*s**2 - 7*s
Collect the terms in 154*l - 77*l - 59*l.
18*l
Collect the terms in -405*s + 889*s + 959*s + 110*s.
1553*s
Collect the terms in 46*p**3 - 17*p**3 - 12*p**3 - 18*p**3.
-p**3
Collect the terms in -45*d**2 - 35*d**3 + 44*d**2 - 8*d**3.
-43*d**3 - d**2
Collect the terms in -2*u**3 + 7630*u**2 - 7630*u**2.
-2*u**3
Collect the terms in -5 + 5 + 16*d.
16*d
Collect the terms in 4 + 22*c**3 - 4 + 424*c**3.
446*c**3
Collect the terms in -127 + 127 + 2*f.
2*f
Collect the terms in 33*d**2 + 16*d**2 - 33*d**2.
16*d**2
Collect the terms in 17 + 1 + 19 - 37 - 4*x**2.
-4*x**2
Collect the terms in 522*l - 20*l**3 + 10*l**3 - 522*l + 3*l**3.
-7*l**3
Collect the terms in -253*j + 501*j - 247*j.
j
Collect the terms in -314*d**2 + 314*d**2 + 13*d**3.
13*d**3
Collect the terms in -6*b**3 + 0*b**2 + 4*b**2 - 4*b**2 + 8*b**3.
2*b**3
Collect the terms in -18*v - 16*v + 0*v**3 - 4*v**3 + 3*v**3.
-v**3 - 34*v
Collect the terms in -7*h**3 - 27 - 29 + 49.
-7*h**3 - 7
Collect the terms in 772*f - 772*f - 18*f**2.
-18*f**2
Collect the terms in -3*f - 4*f**2 + 3*f.
-4*f**2
Collect the terms in 742*n + 745*n - 1485*n.
2*n
Collect the terms in -4*q**3 + 1026*q**2 - 342*q**2 - 343*q**2 - 341*q**2.
-4*q**3
Collect the terms in 5*v - 7*v - 5*v + 58*v.
51*v
Collect the terms in -7*a**2 - a**2 + 14*a**2 - 19*a**2.
-13*a**2
Collect the terms in -2*y**3 - 46*y + 26*y + 20*y.
-2*y**3
Collect the terms in 18*w - 3*w + 5*w.
20*w
Collect the terms in -150*u**2 - 3*u + 3*u + 4*u - u.
-150*u**2 + 3*u
Collect the terms in 50*r - 93*r + 68*r.
25*r
Collect the terms in 3026930 + h**2 - 3026930.
h**2
Collect the terms in -33*d**3 - 9 + 9.
-33*d**3
Collect the terms in -130 + 130 + 0*d**2 - 3*d**2 + 37*d.
-3*d**2 + 37*d
Collect the terms in 4*n + 0*n - 12*n + 9*n.
n
Collect the terms in -112*l + 58*l - 3*l**2 + 54*l.
-3*l**2
Collect the terms in -119*f**3 + 63*f**3 + 64*f**3.
8*f**3
Collect the terms in -266*a + 530*a - 275*a.
-11*a
Collect the terms in -402*b + 791*b - 389*b + 2*b**2.
2*b**2
Collect the terms in 204*g - 404*g + 200*g - 7*g**2.
-7*g**2
Collect the terms in 18*u**2 - 6*u**2 + 3*u**2.
15*u**2
Collect the terms in 29*m + 30*m - 21*m.
38*m
Collect the terms in 4*s**3 - 79371*s + 79371*s.
4*s**3
Collect the terms in -29 - 335*c**2 + 29.
-335*c**2
Collect the terms in -3*z**3 + 5229*z**2 - 5229*z**2.
-3*z**3
Collect the terms in 11*z + 6*z - 18*z.
-z
Collect the terms in 5 - 5 - 913*y**2 + 912*y**2.
-y**2
Collect the terms in 304*m**2 - 96*m**2 - 103*m**2 - 95*m**2.
10*m**2
Collect the terms in -23*g**2 + 0*g - 4*g**2 + 5*g**2 - 3*g.
-22*g**2 - 3*g
Collect the terms in -21*m**2 - 3*m**3 + 21*m**2.
-3*m**3
Collect the terms in -7 + 18 - 3*y - 11.
-3*y
Collect the terms in -13 + 105 - 3*m**3 - 7 - 85.
-3*m**3
Collect the terms in -6*u + 4*u - u.
-3*u
Collect the terms in 2*t**3 - 56*t - 82*t + 198*t - 60*t.
2*t**3
Collect the terms in j - 24*j**2 + 42*j**2 + 88*j**2 - 21*j**2.
85*j**2 + j
Collect the terms in 0 - 505*r + 178*r + 329*r + 0.
2*r
Collect the terms in 12*s - 8*s - s.
3*s
Collect the terms in -10*d**2 + 119539*d - 119539*d.
-10*d**2
Collect the terms in 2*y - 157 + 158 - 2*y - 24*y**2.
-24*y**2 + 1
Collect the terms in 1631*t + 10*t**2 + 5 - 1631*t.
10*t**2 + 5
Collect the terms in -58312*l + 58312*l + 37*l**2.
37*l**2
Collect the terms in -8*f**3 - 2 - 4 + 1.
-8*f**3 - 5
Collect the terms in 86778*c - 86778*c - 17*c**2.
-17*c**2
Collect the terms in -28*u + 7*u + 10*u + 11*u - 2*u**3.
-2*u**3
Collect the terms in -1975*s - 275*s + 293*s.
-1957*s
Collect the terms in k + 8*k**3 - k - 6*k**3.
2*k**3
Collect the terms in -5*p**2 - 10*p**2 + 2*p**2 - p**2.
-14*p**2
Collect the terms in 6*n**2 - 7*n**3 - 2*n**2 - 4*n**2.
-7*n**3
Collect the terms in 14*a + 9*a + 2*a - 4*a.
21*a
Collect the terms in -64 - s + s - 6*s**2 + 91.
-6*s**2 + 27
Collect the terms in 13*q - 43*q + 83 - 83.
-30*q
Collect the terms in 81*o**2 - 681 + 681.
81*o**2
Collect the terms in 3*l**2 - 6*l**2 + 3*l**2 - 6*l**3.
-6*l**3
Collect the terms in 7*n**3 + 12*n**3 + 10*n**3 - 25*n**3.
4*n**3
Collect | {
"pile_set_name": "DM Mathematics"
} |
be (513/36)/((-9)/(-384)). What is the greatest common divisor of w and 228?
76
Let p(v) = -3*v + 14. Let w be p(-22). What is the greatest common divisor of w and 32?
16
Let o(u) = -33*u + 34. Let k be o(-9). Suppose h + 133 - k = 0. Let t(w) = 5*w**2 - 2*w - 2. Let b be t(-2). What is the highest common divisor of h and b?
22
Let i be (27 - 30)/((-2)/(-8) + -1). Suppose i*t - 22 = 50. Calculate the highest common divisor of 144 and t.
18
Let h be 1*-2 - -8*1. Let f(t) = t - 1. Let z(q) = 3*q + 10. Let l(o) = 6*f(o) + z(o). Let x be l(h). Calculate the highest common divisor of 87 and x.
29
Suppose r - b = 3*b + 212, -b - 1079 = -5*r. Let l = -51 + r. Suppose -m + 11 = j - 7, 3*m - 33 = 4*j. Calculate the greatest common divisor of m and l.
15
Let u be (-126)/((-8)/4) + -4. Suppose -u = -2*i + 101. Calculate the greatest common divisor of i and 10.
10
Suppose 0 = -0*x - 4*x - 5*f + 420, -16 = -4*f. Calculate the highest common divisor of x and 60.
20
Suppose -t - 3*f + 73 = 0, 284 = -3*t + 7*t + 4*f. Calculate the highest common divisor of t and 15.
5
Let y be 702/8 + 8*23/736. Calculate the highest common factor of 112 and y.
8
Suppose 18*m = -37*m + 1265. Calculate the greatest common factor of 3013 and m.
23
Let q = 1266 + -536. Calculate the greatest common factor of 10 and q.
10
Let z(u) = -u**2 - 8*u - 10. Let i be z(-6). Let r = 122 + -113. What is the greatest common factor of r and i?
1
Let j be 564/14 + (-2)/7. Let f = -1 - -3. Suppose f*a - 3*k - 22 = 0, 2*a - 4*k - 31 = -a. What is the greatest common divisor of a and j?
5
Let z(r) = 47*r**2 - 3*r**2 + 2 - 1. Let o be z(1). Suppose 11*d = 2*d + o. What is the greatest common divisor of 45 and d?
5
Let g be 0 - 0/(-3) - 44. Let q be ((-165)/g)/((-1)/(-4)). Suppose -200 = -3*u + 115. What is the highest common factor of u and q?
15
Suppose -83 = 5*d - 4*r - 369, 220 = 4*d - r. What is the highest common factor of 486 and d?
54
Suppose 5*t + 15*l - 11*l - 243 = 0, 131 = 3*t - 5*l. What is the greatest common factor of 423 and t?
47
Suppose 2*m - 4 = -3*m + 2*o, 8 = m + 2*o. Suppose 4*k - u - 88 = 0, -5*u - 62 = -m*k - 0*k. Calculate the greatest common factor of k and 21.
21
Let q be (165/(-9))/((-2)/12). Let d be 178/8 - (-26)/(-104). What is the highest common divisor of q and d?
22
Let y = 1371 + -1341. Calculate the greatest common factor of 340 and y.
10
Let y(q) = -4*q**3 - 4*q**2 - 14*q - 8. Let a be y(-4). Let p(r) = 12*r - 18. Let i be p(4). What is the greatest common factor of a and i?
30
Suppose -r + 0*y = -2*y - 19, -96 = -4*r + 3*y. Suppose 4860 = 10*g + 10*g. Calculate the greatest common factor of g and r.
27
Let w be 8/(-44) - (-8)/44. Suppose 56 = 7*a - w*a. Calculate the highest common factor of 40 and a.
8
Suppose 0 = 25*u - 22*u - 93. Suppose -240 - 256 = -2*z. What is the greatest common divisor of u and z?
31
Let p(t) = t - 1. Let y(g) = 5*g - 18. Let l(o) = -3*p(o) + y(o). Let k be l(9). What is the greatest common factor of k and 30?
3
Let k = -117 + 122. What is the highest common divisor of k and 155?
5
Suppose l = 3*w - 50, 6*w - 30 = 3*w - 3*l. Let z be ((-1 - -4)/((-9)/405))/(-1). What is the greatest common divisor of w and z?
15
Let t = -1709 - -2659. Calculate the greatest common factor of t and 100.
50
Let o = 3598 - 2660. What is the greatest common factor of 14 and o?
14
Suppose 12*c - 14*c + 14 = -4*f, c = -5*f. What is the highest common factor of c and 11?
1
Let a(q) = 100*q + 4. Let p be a(1). Calculate the greatest common divisor of 65 and p.
13
Let u(d) = 9*d**2 - 3*d + 4. Let k be u(-1). Let o(y) = 3*y**2 + 12*y**2 - 4 - 2*y + 3. Let c be o(-1). Calculate the highest common divisor of c and k.
16
Let z = -411 + 412. What is the highest common divisor of 8 and z?
1
Suppose w = 48 + 32. What is the highest common divisor of 16 and w?
16
Suppose r - 398 = -3*r + 2*b, b = -2*r + 193. Let k be ((-9)/(-3) - 1) + -47. Let g be 67/5 + (-27)/k. Calculate the greatest common divisor of g and r.
14
Let g be 4/(-22) + (-378)/99. Let z be 1/(-2*g/264). What is the highest common factor of 264 and z?
33
Let f(t) = 43*t - 114. Let u be f(3). Calculate the greatest common divisor of u and 60.
15
Suppose 4*o + 6 = 6*o, -m - o = -59. Let u = 140 + -133. Calculate the highest common factor of u and m.
7
Let b(j) = j**2 + 21*j + 15. Let l be b(8). Calculate the greatest common divisor of 13 and l.
13
Let m = 109 + 26. What is the greatest common factor of 5 and m?
5
Let w be (-4)/6 + (-55352)/(-408). Calculate the highest common factor of w and 27.
27
Suppose 4560 = 21*o + 17*o. Calculate the greatest common factor of 96 and o.
24
Suppose -65*y = -58*y - 10962. What is the greatest common factor of 54 and y?
54
Let f(q) = q**2 + 30*q - 239. Let y be f(13). What is the highest common divisor of y and 128?
64
Let c(z) = z**3 - 15*z**2 + 14*z + 2. Let m be c(14). Let o be (m + 2 - -9)/((-2)/(-4)). Calculate the highest common factor of 13 and o.
13
Suppose -5*p - p + 270 = 0. Suppose 36*o - p = 33*o. What is the highest common factor of 75 and o?
15
Let n be (12/18)/(2/75). Calculate the greatest common factor of n and 425.
25
Suppose 2*s = 17 + 15. Let n = -217 - -225. What is the greatest common divisor of n and s?
8
Let h = -170 - -192. Calculate the highest common factor of 154 and h.
22
Let c = 4856 + -4716. Let f be (-16)/(-12)*30*1. Calculate the highest common divisor of f and c.
20
Let u = 11 + -1. Let c be 1004/u - (-28)/(-70). Suppose -2*n + c = 2*n. What is the highest common factor of 100 and n?
25
Let u be (-7)/42*-2 - 482/(-3). What is the greatest common factor of u and 92?
23
Let l(c) = -c**2 - 18*c - 78. Let q be l(-8). Let x(j) = 9*j**2 - 2*j - 1. Let m be x(-1). Calculate the greatest common factor of m and q.
2
Let w(c) = -c**3 - 10*c**2 + 23*c - 16. Let o be w(-12). Let q be (-58)/(-5) - o/10. Suppose 4*s - 24 = s. Calculate the highest common divisor of s and q.
4
Suppose 0 = v - 752 - 1184. What is the highest common factor of 16 and v?
16
Let q(r) be the second derivative of -r**5/20 + 11*r**4/12 + 13*r**3/6 - r**2 - 4*r. Let i be q(12). What is the highest common divisor of 25 and i?
5
Let i be (21/2)/(6/40). Suppose -5*d + 13*d - 40 = 0. Suppose 45 = 5*o - d. Calculate the greatest common divisor of i and o.
10
Suppose 0 = 2*y - 11 + 75. Let k be 15/(12/y*-2). Calculate the highest common divisor of k and 30.
10
Let j = 36 + 225. Suppose 0 = -3*r + j + 51. What is the greatest common factor of r and 26?
26
Let a = 4 + 4. Suppose -4*t + 3*q = -36, -2*q - a = -2*t + 8. Suppose d - 9 = 5*u - 0*u, d - t = 2*u. What is the highest common divisor of 28 and d?
14
Let u(o) = 8*o**2 - 3*o - 3. Let b be u(3). Let i = b + -33. Let d(l) = 62*l + 1577. Let v be d(-25). Calculate the highest common divisor of i and v.
27
Let h be 3*(-11)/(-6)*2. Suppose h = 2*f - f. Suppose -44 = -o - 3*o. What is the greatest common factor of o and f?
11
Let i = 0 - 9. Let p be (3 - (2 - 1)) + 11. Let q = i + p. Calculate the greatest common divisor of 1 and q.
1
Let b be (4374/4)/((-50)/(-100)). What is the greatest common factor of b and 9?
9
Let j be 97/6 + (-6)/36. Suppose 10*u = 604 + j. What is the greatest common divisor of 682 and u?
62
Let v = -1270 + 1339. What is the greatest common divisor of v and 6?
3
Let b be (-1)/1 + 14 - 1. Let r = b + -9. Suppose 0 = 4*q - r*q - 54. What is the highest common factor of q and 27?
27
Let p be (66/(-11))/(3 - (8 - 4)). Calculate the highest common divisor of p and 69.
3
Suppose -3*r + 9 = 3*s, -r + 0 + 5 = 0. Let i be -1 - s/(4/26). Let w be 19 + 13 - (33 - 4). What is the highest common divisor of i and w?
3
Suppose 18*n - 63*n + 2340 = 0. What is the greatest common divisor of 234 and n?
26
Let k = 260 + -540. Let y be k/16*8/(-14). Calculate the greatest common factor of 15 and y.
5
Let h = -4 - -44. Let w be (-16)/h - 222/(-5). Let d be 34/8 - -1*3/(-12). Calculate the highest common factor of d and w.
4
Let f be 14 + -16 - (0 + 96). Let d = f + 107. What is the highest common divisor of d and 117?
9
Suppose 495 = 5*i + 3*y, 4*i + y = -3*y + 396. Calculate the highest common factor of i and 495.
99
Let p be 1 + 128 + (-6)/2. Let b be (-38)/2 - (-1)/(-1). Let w be (-144)/(-10) - (-8)/b. Calculate the highest co | {
"pile_set_name": "DM Mathematics"
} |
-72 + 73. Let t(m) = x + m - 1 - 5*m. Determine t(g(c)).
-4*c**2
Let u(z) = -5*z**2 + 33*z - 170. Let s(v) = -v**2 + 6*v - 34. Let l(f) = -11*s(f) + 2*u(f). Let q(a) = 6*a. Give q(l(x)).
6*x**2 + 204
Let f(l) = 2*l. Let q(j) = 6*j**2 - 3*j + 4. Let i(p) = -12*p**2 + 7*p - 9. Let y(h) = -6*i(h) - 14*q(h). What is y(f(x))?
-48*x**2 - 2
Let x(v) = -v - 409 + 190 + 198 + 2*v. Let k(b) = b**2. What is k(x(z))?
z**2 - 42*z + 441
Let w(t) be the first derivative of t**2/2 + 6. Let q(y) be the third derivative of -35*y**4/8 + 74*y**2. Calculate w(q(a)).
-105*a
Let d(l) = -l**2. Let y(q) = -609547*q**2. What is y(d(r))?
-609547*r**4
Let u(h) = -4*h. Let x(i) = 2*i**2 + 214*i + 145. Determine u(x(c)).
-8*c**2 - 856*c - 580
Let o(s) = s - 4. Suppose 2*k - 6 = g - 0, 5*k - 21 = g. Let y be o(k). Let u(d) = y - 1 + 0*d - 3*d. Let x(z) = -z**2. Determine x(u(v)).
-9*v**2
Let n(h) = -12*h - 4. Let a(o) be the first derivative of -2*o**2 + 119. Determine n(a(z)).
48*z - 4
Let r(u) = 163*u - 4. Let n(j) = 21*j**2. Calculate r(n(d)).
3423*d**2 - 4
Let i(w) = 1. Suppose -28 = -4*z - 76. Let v(x) = 2*x + 12. Let t(k) = z*i(k) + v(k). Let m(p) be the third derivative of -p**4/8 - p**2. Calculate t(m(f)).
-6*f
Suppose -w + 40 - 16 = 0. Let k(m) = 24 - w - 2*m**2 + 6*m**2. Let l(h) = -7*h**2. What is k(l(d))?
196*d**4
Let x(d) = 317*d**2. Let t(g) = 165*g**2. Give t(x(s)).
16580685*s**4
Let a(m) = -38*m - 17. Let t(u) = -19*u**2. Calculate t(a(b)).
-27436*b**2 - 24548*b - 5491
Let x(n) = -161*n. Let v(z) = -11*z - 6*z + 19*z. Determine v(x(g)).
-322*g
Let t(a) = 5*a**2 - 5*a**2 - 3*a**2 + 11*a**2. Let b(k) = 16*k**2. Determine b(t(r)).
1024*r**4
Let l(y) = 23*y + 1 - 1 - y. Let s(b) = -2*b**2 - 24*b + 56*b - 32*b. Calculate l(s(p)).
-44*p**2
Let i(o) = 13*o**2. Let c(t) = -t. Let y(r) = -4*r. Suppose 2*x + 5*x + 42 = 0. Let n(d) = x*c(d) + y(d). Give i(n(q)).
52*q**2
Let g(w) = -107*w**2 - 3. Let i(o) = -o. What is g(i(h))?
-107*h**2 - 3
Let x(g) = -g - 9. Let f be x(-7). Let v be 446/34 + f/17. Let p(a) = 2*a**2 - 3*a**2 + v - 13. Let h(q) = -18*q. What is h(p(m))?
18*m**2
Let n(k) = 3*k**2. Let s be 6/(-2) + 4 + -121. Let a be -3*1*s/72. Let c(q) = -25*q + 25*q - a*q**2. Calculate c(n(m)).
-45*m**4
Let r(j) = 33*j. Let a(g) = 295*g**2. Give r(a(z)).
9735*z**2
Let s be -2 - ((-2)/10 + 22/10). Let r(u) = -15*u. Let p(k) = 44*k. Let j(b) = s*p(b) - 11*r(b). Let d(x) = -4*x**2. Give j(d(z)).
44*z**2
Let w(l) be the third derivative of 3*l**4/8 + 2*l**2 + l. Let j(p) = 17*p**2. What is w(j(a))?
153*a**2
Let b(h) = -2*h**2. Let d(g) = -3 + 3 + 21*g + 8*g + 4*g. Calculate b(d(a)).
-2178*a**2
Let p(f) be the first derivative of -14*f**3 - 53. Let j(y) = 2*y. Give j(p(k)).
-84*k**2
Let i(o) = 7*o - 12*o + 4*o. Let a(w) be the second derivative of -w**4/12 + 4*w + 5. What is i(a(l))?
l**2
Let f be (0 - 4) + (2 - 4). Let z be ((-10)/3)/(f/9). Let l(b) = -2*b + z - 3 - 2. Let s(k) = -k. What is s(l(u))?
2*u
Let v(f) = -394*f**2 + 38*f - 10. Let h(c) = -2*c**2. Give v(h(d)).
-1576*d**4 - 76*d**2 - 10
Let z(l) = -5*l**2 + 4. Suppose 5*r = 6*j - 5*j + 18, 5*r = -5*j. Let v(h) = -r*h + 11*h - 6*h - 3*h. Give z(v(a)).
-5*a**2 + 4
Let o(b) = -716 - 548*b + 361 + 355. Let r(g) = -2*g. Determine r(o(k)).
1096*k
Let c(i) = 2*i**2 + 0*i - 2*i + 2*i - 137*i**2. Let o(z) = -2*z**2. Calculate c(o(f)).
-540*f**4
Let m(c) = 2*c**2. Let r = -62 - -129. Let q(y) = -r - 74 - 3*y**2 + 141. What is q(m(s))?
-12*s**4
Let q(o) = -19187*o**2. Let y(z) = 37*z**2. Calculate q(y(v)).
-26267003*v**4
Let o(x) = -3*x**2 - 6*x - 11. Let z(u) = -4*u**2 - 5*u - 9. Let n(h) = -5*o(h) + 6*z(h). Let j(s) = -s. Determine n(j(v)).
-9*v**2 + 1
Let g(i) = -2*i**2 - 3*i. Let j(m) = -2*m. Let v(t) = -3*g(t) + 5*j(t). Let q(l) = l**2. Give v(q(w)).
6*w**4 - w**2
Let a(w) = -2*w. Let f be 2/(((-18)/4)/(-9)) + -4. Let g(r) be the third derivative of 1/24*r**4 + 0 - 5*r**2 + 0*r**3 + f*r. Give a(g(z)).
-2*z
Let x(m) = 2*m**2. Let u(a) = -57*a - 229*a - 46*a + 9*a + 31*a. What is x(u(c))?
170528*c**2
Let c(k) = 3*k**2 + 3*k. Let j(o) = -4*o**2 - 5*o. Let m(s) = -10*c(s) - 6*j(s). Let l(z) = 3*z + 9*z - 8*z. What is m(l(v))?
-96*v**2
Let u = -24 - -18. Let z = 1 - u. Let h(r) = z*r + r - 4*r - r. Let f(j) = -4*j**2. Give f(h(g)).
-36*g**2
Let p(a) = a**2 + 6*a - 6. Suppose 4*u + 36 = -2*u. Let g(j) = 2*j**2 + 11*j - 11. Let r(s) = u*g(s) + 11*p(s). Let l(f) = -3*f. Determine l(r(o)).
3*o**2
Let v(u) = -6*u**2 - 5*u. Let k(h) = 21*h**2 + 18*h. Let g(d) = 5*k(d) + 18*v(d). Let i(f) = -109*f. Calculate i(g(l)).
327*l**2
Let m(h) = 38*h**2 - 7. Let g(c) = 10*c - 28. Let x(n) = -12*n + 35. Let f(z) = 5*g(z) + 4*x(z). Determine f(m(k)).
76*k**2 - 14
Let h(n) = -6*n**2. Let c(o) = 3990*o**2 - 3. Determine c(h(l)).
143640*l**4 - 3
Let s(b) = -2*b + 179516. Let j(c) = -2*c**2. What is s(j(z))?
4*z**2 + 179516
Let u(i) = 56*i**2 + 11*i + 11. Let p(a) = 5*a**2 + a + 1. Let m(t) = -22*p(t) + 2*u(t). Let z(f) = 3*f + 6. Give m(z(s)).
18*s**2 + 72*s + 72
Let l(y) be the first derivative of -y**3 - 242. Let s(m) = 51*m. What is l(s(c))?
-7803*c**2
Let z(c) = -5*c - 2*c + 4*c. Let l(y) be the second derivative of y**7/1260 + y**4/6 + 5*y. Let i(r) be the third derivative of l(r). What is z(i(k))?
-6*k**2
Let b(v) = -378*v - 414*v + 780*v. Let y(r) = -2*r**2. Determine y(b(q)).
-288*q**2
Let q(d) = -55*d - 3 + 3. Let g(m) = 579*m - 1719*m + 571*m + 569*m + m**2. What is g(q(b))?
3025*b**2
Let j(p) = 65*p**2. Let b(n) = 297*n**2. Determine b(j(q)).
1254825*q**4
Let a(f) = 47499*f**2. Let n(k) = 24*k**2. Give a(n(d)).
27359424*d**4
Let j be (0/(-2))/(6 - 8). Let f(x) be the second derivative of 3*x + j*x**2 + 0 + 1/2*x**3. Let b(a) = 7*a. Calculate b(f(p)).
21*p
Let r(p) = p. Let s(a) = 503603*a. What is r(s(x))?
503603*x
Let g(c) = 66 - 129 + 63 - 2*c**2 + 5*c**2. Let u(x) = -11*x. Give u(g(s)).
-33*s**2
Let r(q) = -4*q. Let n(s) = -s**2 - 8416. What is n(r(x))?
-16*x**2 - 8416
Let h(l) = 2*l. Suppose 2*b + 4 = 4*x, -b + 14 = 4*x + 2*b. Let d(k) = -11*k**2 + 0*k**x + 2*k**2. What is d(h(c))?
-36*c**2
Let n(j) = -921*j**2 + 30*j + 180. Let v(o) = -o**2 + o + 6. Let h(p) = n(p) - 30*v(p). Let z(b) = b. Determine h(z(w)).
-891*w**2
Suppose -4*v + 30 = -38. Suppose 15*q - v*q = -8. Let l(x) = -6 - 3 + 9 - q*x. Let n(i) = 2*i**2. Calculate l(n(m)).
-8*m**2
Let i(d) = 3*d + 4. Let x(q) = -40*q - 38. Let v(t) = -10*i(t) - x(t). Let m(a) = -9*a. Calculate v(m(y)).
-90*y - 2
Let p(b) = -b. Suppose 30 = 5*y + f, -2*y - f + 2*f + 19 = 0. Let j(n) = 4*n**2 - 2*n**2 - y*n**2. Give j(p(l)).
-5*l**2
Let f(k) = k**2 - 6*k + 23. Let m(t) = 361*t. What is m(f(y))?
361*y**2 - 2166*y + 8303
Let m(f) = -2*f**2 + 4374845 - 4374845. Let l(u) be the third derivative of u**2 + 0*u**3 + 0*u**4 + 0 + 1/15*u**5 + 0*u. Calculate l(m(s)).
16*s**4
Let b(w) = w. Let i = 13 - 15. Let s = i - -4. Let f(q) = -5*q**2 - 4*q**s + 4*q**2 - 3*q**2. Give b(f(k)).
-8*k**2
Let m(x) = 19*x. Let p be 4 - 4*(-5)/(-20). Suppose -f + 13 = -p*j, j - 15 = -f + 2. Let o(a) = -9*a - 5*a + f*a. What is o(m(d))?
38*d
Let u(r) = 12*r - 10. Let c(d) = -14*d + 12. Let y(s) = -5*c(s) - 6*u(s). Let l(z) be the first derivative of -12*z**2 + 1. What is y(l(v))?
48*v
Let n(q) be the second derivative of q**3 - 18*q - 6. Let d(g) = -g**2 + 7. Give d(n(k)).
-36*k**2 + 7
Let y = -34 + 36. Let s(f) = -2*f**2 + f**2 + f**2 + 2*f**y. Let u(n) = 32*n. Calculate u(s(b)).
64*b**2
Let g(y) = -8*y**2 + 5208. Let a(r) = 2*r**2. Give g(a(b)).
-32*b**4 + 5208
Let v(k) = 3*k. Let w(f) = 1136 - 566 - 572 - 38*f. Calculate v(w(l)).
-114*l - 6
Let p be (0 - 1 - -11) + (-2)/1. Let x(d) = 10*d - 8. Let h(z) = -4*z + 3. Let i(f) = p*h(f) + 3*x(f). Let o(j) = 9*j. Determine i(o(k)).
-18*k
Let t(k) = -10*k**2 - 16*k - 16. Let d(o) = 3*o**2 + 5*o + 5. Let n(i) = 16*d(i) + 5*t(i). Let c(g) be the first derivative of 6*g**3 - 39. Determine c(n(x)).
72*x**4
Let b(g) = 6*g**2. Let c(n) = n**2 + 13822*n. Give c(b(f)).
36*f**4 + 82932*f**2
Let j(z) = 2*z**2. Let d(n) = 413806*n**2. Determine j(d(x)).
342470811272*x**4
Let k(s) = -8*s + 12. Let j(h) = 9*h - 8. Let w(o) = 3*j(o) + 2*k(o). Let r(f) = 8*f**2. Calculate w(r(q)).
88*q**2
Let m(j) = 12*j - 2. Let w(h) = 61*h + 1 - 65*h - 1. Determine w(m(o)).
-48*o + 8
Let g(u) = | {
"pile_set_name": "DM Mathematics"
} |
the terms in -5 - 3*p + 3 - 1 + 3.
-3*p
Collect the terms in 5*j**2 + 824*j - 824*j.
5*j**2
Collect the terms in -3 + 0 - 1 + 4*o + 3.
4*o - 1
Collect the terms in 30*h - 13*h - 17*h - h**2.
-h**2
Collect the terms in 35*b + 1 + 3 - 5 - 5.
35*b - 6
Collect the terms in -195*k**3 - 202*k**3 - 196*k**3 + 597*k**3.
4*k**3
Collect the terms in -42*q**3 - 10*q**2 + 7*q**2 + 3*q**2.
-42*q**3
Collect the terms in -3*c + 3055 - 3055.
-3*c
Collect the terms in -2*z**3 - 10*z**3 - z**3.
-13*z**3
Collect the terms in -4*u**3 + 4*u**3 - 20*u**3 + 9*u**3.
-11*u**3
Collect the terms in -6*i**3 - i**3 - 9*i**3 - 6*i**3 + 23*i**3.
i**3
Collect the terms in 0*m - 12*m + 4*m.
-8*m
Collect the terms in 6*h - 7*h - 18*h - 15*h - 4.
-34*h - 4
Collect the terms in 2*q**3 + 0*q**3 - 8 + 8.
2*q**3
Collect the terms in -30 + 89 - 29 - 30 + 7*v.
7*v
Collect the terms in -4*o**2 + 4*o**2 + 533*o**3 + o**2.
533*o**3 + o**2
Collect the terms in 977*c**3 + 982*c**3 - 1960*c**3.
-c**3
Collect the terms in u**3 - 3*u + 0*u**3 - u.
u**3 - 4*u
Collect the terms in -1376 - 18*u**3 + 1376.
-18*u**3
Collect the terms in -30*t**3 + 13*t**3 + 11*t**3.
-6*t**3
Collect the terms in 15*q**2 + 11*q**2 - 15*q**2.
11*q**2
Collect the terms in 0*h + 0*h - 7*h.
-7*h
Collect the terms in -i + 6*i - 14 + 0*i.
5*i - 14
Collect the terms in -2*i**2 + i - 2*i + i.
-2*i**2
Collect the terms in 10*y**2 + 17*y**2 - 9*y**2.
18*y**2
Collect the terms in 46*w**3 - 12*w**3 + 6*w**3.
40*w**3
Collect the terms in -20 + 20 + 10*a.
10*a
Collect the terms in -24*y**2 - 10*y**2 + 6*y**2 + 52*y**2.
24*y**2
Collect the terms in -4093*n**3 - 4093*n**3 + 8188*n**3.
2*n**3
Collect the terms in -3 + 3 - 2 + 5 + 2*g**2.
2*g**2 + 3
Collect the terms in -348*s - 85*s + 85*s.
-348*s
Collect the terms in 11*r**3 - 4 + 4*r**3 + 3 + 93*r**2.
15*r**3 + 93*r**2 - 1
Collect the terms in -b**3 + 16*b**3 - 12*b**3 - 2*b**3.
b**3
Collect the terms in -2*z - 117*z + 15*z.
-104*z
Collect the terms in 177*l - 177*l + 7*l**2.
7*l**2
Collect the terms in 28*w - 1 + 1 + 88*w.
116*w
Collect the terms in -448*y + 221*y + 230*y.
3*y
Collect the terms in -160*a**3 - 2*a**2 + 2*a**2 + 131*a**3.
-29*a**3
Collect the terms in 75*o - 38*o + 6*o**2 - 37*o - 10*o**2.
-4*o**2
Collect the terms in 25*r - 25*r + 34*r**3.
34*r**3
Collect the terms in -3*c**2 + 23*c**2 - 8*c**2.
12*c**2
Collect the terms in -148*l**3 - 3 + 990*l**3 + 3.
842*l**3
Collect the terms in 64*t**2 - 20*t**2 + 8*t**2.
52*t**2
Collect the terms in -5*s - 2*s + s + 7*s + s.
2*s
Collect the terms in -68*h + 47*h + 25*h.
4*h
Collect the terms in 122*h**3 - 126*h**3 + 4*h - 4*h.
-4*h**3
Collect the terms in 51*g + 17*g - 16*g.
52*g
Collect the terms in -19*o**2 + 4*o**2 + 10*o**2 - o**2.
-6*o**2
Collect the terms in 22*d - 2*d + 2 + 4 - 1.
20*d + 5
Collect the terms in -33 + 33 + 23*o.
23*o
Collect the terms in -5*j**3 + 365259*j - 365259*j.
-5*j**3
Collect the terms in 343 - 343 + r.
r
Collect the terms in -7934 + 2*g**2 + 7934.
2*g**2
Collect the terms in 104*o**3 - 55*o**3 - 48*o**3.
o**3
Collect the terms in 89*j**2 + 97*j**2 - 174*j**2.
12*j**2
Collect the terms in 48*d**3 + 20*d**3 + 25*d**3.
93*d**3
Collect the terms in 28*o - 28*o + o**2.
o**2
Collect the terms in 9*s - 3*s + 3*s + 12*s.
21*s
Collect the terms in 7*m - m - 3*m.
3*m
Collect the terms in -82*m**2 + 3*m**3 + 82*m**2 - 6*m.
3*m**3 - 6*m
Collect the terms in 14483*u**2 + u**3 - 14483*u**2.
u**3
Collect the terms in -14 + 27*k**2 - 20*k**2 - 18*k**2.
-11*k**2 - 14
Collect the terms in 27*v**3 + 4561*v - 4561*v.
27*v**3
Collect the terms in -9*j - 8*j - 5*j - 1 - 3*j.
-25*j - 1
Collect the terms in 14*s - 20*s + 5*s.
-s
Collect the terms in -v + v - 7*v**3 + 3*v**3.
-4*v**3
Collect the terms in -3*b**3 + 0*b**3 - 8*b**3.
-11*b**3
Collect the terms in 535*i**2 + 2*i**3 - 226*i**2 - 309*i**2.
2*i**3
Collect the terms in 631*y**2 + 20*y**3 - 1262*y**2 + 631*y**2.
20*y**3
Collect the terms in -4*y**2 + 0*y**2 + 4*y**2 - 11*y**2.
-11*y**2
Collect the terms in -2*o + 10*o + 0*o + 12*o.
20*o
Collect the terms in -4*u**2 + 75*u - 7*u**2 - 75*u.
-11*u**2
Collect the terms in 22*f + 19*f - 60*f + 12*f.
-7*f
Collect the terms in -3 - y + 7*y + 3.
6*y
Collect the terms in 9*u**2 + 8*u**2 - 13*u**2.
4*u**2
Collect the terms in 706 - p + 713 + 4*p - 1419.
3*p
Collect the terms in -x**3 - 17 + 60 - 22 - 21.
-x**3
Collect the terms in -6*a + 7*a + 0 + 2 - 12*a.
-11*a + 2
Collect the terms in -2*g**3 + 0*g**3 + 28*g - 28*g.
-2*g**3
Collect the terms in 7073*i**3 - 3533*i**3 + 0*i + 0*i - 3541*i**3.
-i**3
Collect the terms in 17141*c**3 + 0 - 17140*c**3 + 0 + 0.
c**3
Collect the terms in 69*j + 64*j - 141*j.
-8*j
Collect the terms in -18*b**3 + 33*b**3 + 46*b**3 + 17*b**3.
78*b**3
Collect the terms in -2*t**2 + t**2 + 6*t**2.
5*t**2
Collect the terms in 7 - 6 - 14*l - 1.
-14*l
Collect the terms in -19*h**3 + 134 - 134 + 20*h**3.
h**3
Collect the terms in 13*b - b + b - 7*b - 3*b.
3*b
Collect the terms in 19*g**2 + 14*g**2 - 33*g**2 + 20*g**3.
20*g**3
Collect the terms in 0*p**2 + 4*p**2 + 5*p**2 - 10*p**2.
-p**2
Collect the terms in -8*z**3 - 5 + 5 - 2*z**3.
-10*z**3
Collect the terms in -11*j**2 + 12*j**2 + 3*j**2.
4*j**2
Collect the terms in -43*i - 44*i + 114*i - 34*i.
-7*i
Collect the terms in -15*b - 10*b - 16*b + 4 + 40*b.
-b + 4
Collect the terms in -54*b**2 + 54*b**2 - 43*b**3.
-43*b**3
Collect the terms in 34*k**2 + 83*k**2 - 17*k**2.
100*k**2
Collect the terms in 41*f + 43*f - 88*f.
-4*f
Collect the terms in -2*b + 75*b**2 + 4*b - 2*b.
75*b**2
Collect the terms in -27*p**3 + 53*p**3 - 30*p**3.
-4*p**3
Collect the terms in -4*r - 21*r**2 + 24*r**2 + 4*r.
3*r**2
Collect the terms in 8*p**3 + 2*p**3 + 8*p**3 - 21*p**3.
-3*p**3
Collect the terms in 4*f**3 - f**2 + f**2 - 45*f**3.
-41*f**3
Collect the terms in -20*i**2 + 2 + 22*i**2 - 5 + 3.
2*i**2
Collect the terms in 2*f + 6*f + 8*f.
16*f
Collect the terms in 14*z**3 - 8*z**3 - 5*z**3.
z**3
Collect the terms in 485 - 7*u**2 - 485.
-7*u**2
Collect the terms in 9*f + 6*f - 162*f**2 - 15*f.
-162*f**2
Collect the terms in 18*h**3 + 43 - 43.
18*h**3
Collect the terms in -32*c**2 - 34*c**2 + 95*c**2 - 31*c**2.
-2*c**2
Collect the terms in 17*y**2 - 54*y**2 + 0*y**2 - 36*y**2.
-73*y**2
Collect the terms in -8 + f**2 - 76*f + 0*f**2 - 6.
f**2 - 76*f - 14
Collect the terms in c + c - 5*c - c.
-4*c
Collect the terms in 0 + 0 + 165*q**2.
165*q**2
Collect the terms in -6*o**3 + 8*o**2 - 26*o**2 + 5*o**2 + 13*o**2.
-6*o**3
Collect the terms in -2*s + 1898 - 1898.
-2*s
Collect the terms in 9 + 22 + x - 31.
x
Collect the terms in 5 + 12*a**3 - 6 - 18*a**3.
-6*a**3 - 1
Collect the terms in 0*b + 3*b + 0*b - 437 + 437.
3*b
Collect the terms in -10*k**3 - 3*k**3 - 8*k**3.
-21*k**3
Collect the terms in -584*f**2 + 0 + 0.
-584*f**2
Collect the terms in 0*f**2 + 0*f**2 + 2*f**2.
2*f**2
Collect the terms in 0*v**3 - 2*v**3 + 2*v**3 - 2*v**3.
-2*v**3
Collect the terms in 2*d**3 + 6*d**3 - 6*d**3 - d**3 + d**3.
2*d**3
Collect the terms in -99*x**2 - 190*x**2 + 11*x**2 - 79*x**2.
-357*x**2
Collect the terms in 5261*t + t**2 - 5261*t.
t**2
Collect the terms in 5*b + 7*b**2 + 0*b**2 - 6*b**2.
b**2 + 5*b
Collect the terms in -2*u + 0*u + 14*u.
12*u
Collect the terms in -5130*g - 4*g**2 + 5130*g.
-4*g**2
Collect the terms in 9*s**2 + 9*s**2 - 14*s**2.
4*s**2
Collect the terms in -34*c**2 - 30*c**2 - 3*c**3 + 64*c**2 + 6*c**3.
3*c**3
Collect the terms in n**3 - 108277*n + 108277*n.
n**3
Collect the terms in 7 + t - 7 - 5*t.
-4*t
Collect the terms in -14*y - 256 + 256.
-14*y
Collect the terms in -15*j**2 - j**2 - 3*j**3 - 2*j**3 + 7*j**3.
2*j**3 - 16*j**2
Collect the terms in -28*j + 84*j - 28*j - 31*j.
-3*j
Collect the terms in 135 + 7*w**3 - 135.
7*w**3
Collect the terms in -83404*g**2 + 83404*g**2 - 6*g**3.
-6*g**3
Collect the terms in -18*g - 15*g - 6*g - 6*g.
-45*g
Collect the terms in 0*d**2 + 0*d**2 + 84*d**3.
84*d**3
Collect the terms in 26*z**2 - 76*z**2 + 37*z**2.
-13*z**2
Collect the terms in -2*n**2 - 6*n - 15*n**2 + 9*n**2 + 6*n.
-8*n**2
Collect the terms in 1315*y**3 - 187*y**3 + 228*y**3.
1356*y**3
Collect the terms in 71 - n - 25 - 46.
-n
Collect the terms in -259*x + 788*x - 265*x - 14*x**2 - 264*x.
-14*x**2
Collect the terms in -57*h**3 + 29*h**3 + 18*h**3 - h.
-10*h**3 - h
Co | {
"pile_set_name": "DM Mathematics"
} |
*3 - 1/2*j**2 + 0*j + y = 0.
-1, 0
Find n such that 12*n**2 + 0*n**3 + 9*n - n**3 - n**3 + 5*n**3 = 0.
-3, -1, 0
Find b such that 3 - 23*b**3 + b**4 + 22*b - 7*b**3 + 22*b**2 + 1 - 19*b**4 = 0.
-2, -1/3, 1
Let z be 4/(-15)*((3 - 3) + -3). Solve -2/5 - 1/5*g**3 - z*g**2 - g = 0 for g.
-2, -1
Let g(l) = l**4 - 2*l**3 - 2*l**2 + 2*l - 1. Let m(p) = -4*p**4 + 9*p**3 + 8*p**2 - 9*p + 5. Let z(t) = 18*g(t) + 4*m(t). Factor z(h).
2*(h - 1)**2*(h + 1)**2
Let g be 0/((-9)/3) - -4. Factor 0*v**3 + 0 + 4/5*v - 6/5*v**2 + 2/5*v**g.
2*v*(v - 1)**2*(v + 2)/5
Let l(y) be the second derivative of -2/9*y**3 + 0 + 1/12*y**5 + 1/90*y**6 - 8*y + 1/6*y**4 - 4/3*y**2. Factor l(a).
(a - 1)*(a + 2)**3/3
Let z = -127 + 1021/8. Let x(m) be the first derivative of -1 + 0*m + 1/2*m**2 + z*m**4 - 7/6*m**3. Factor x(n).
n*(n - 1)*(5*n - 2)/2
Let y(g) = 25*g**2 + 12*g - 3. Let f(r) be the third derivative of -r**5/5 - r**4/4 + r**3/3 + r**2. Let j(a) = -5*f(a) - 2*y(a). Factor j(d).
2*(d + 1)*(5*d - 2)
Let l(g) be the third derivative of g**8/10080 + g**5/30 - 3*g**2. Let b(n) be the third derivative of l(n). Factor b(y).
2*y**2
Suppose j = 3*c + 2*j - 1, -2 = 2*c - 2*j. Let t = 19 - 16. Find h such that h**t + h**4 + 1/3*h**2 + c*h + 1/3*h**5 + 0 = 0.
-1, 0
Let k(v) be the third derivative of -v**5/60 - v**4/4 + 7*v**3/6 + 3*v**2. Let f(d) = d**2 - 1. Let j(b) = 3*f(b) + k(b). Factor j(u).
2*(u - 2)*(u - 1)
Factor 3/4*o**2 + 5/4*o**3 + 0 - 9/4*o + 1/4*o**4.
o*(o - 1)*(o + 3)**2/4
Let f(h) be the first derivative of -h**4/6 + 10*h**3/9 - 7*h**2/3 + 2*h + 13. Determine w so that f(w) = 0.
1, 3
Suppose 4*x + 4*t = -4, -3*t - 11 - 6 = -4*x. Factor 4/5 + 2*f + 8/5*f**x + 2/5*f**3.
2*(f + 1)**2*(f + 2)/5
Determine c, given that 50/3 + 10*c + 2/15*c**3 + 2*c**2 = 0.
-5
Let x(t) = 2*t - 20. Let s be x(10). Let b(l) be the second derivative of 1/42*l**4 + 0 + s*l**2 + l + 2/21*l**3. Solve b(h) = 0.
-2, 0
Let h(t) = 4*t**3 + 2*t - 2. Let m be h(1). Determine q, given that -4*q**5 - 4*q**m + 4*q**2 - 228 + 4*q**3 + 228 = 0.
-1, 0, 1
Suppose -2*s = 6, 2*n = -n - 2*s. Suppose -k - 8 = -4*j, n*k = 5*j - 11 + 1. Suppose -2/5 + 2*l - 8/5*l**j = 0. Calculate l.
1/4, 1
Let y = -2 + 2. Let -1/4*a**3 + 1/4*a**2 + y + 0*a = 0. Calculate a.
0, 1
Let w(r) = r**3 + 4*r**2 + 4*r. Let k be w(-2). What is i in k*i**2 - 2/5 + 4/5*i - 4/5*i**3 + 2/5*i**4 = 0?
-1, 1
Let g(i) be the second derivative of -4/3*i**2 + 0 - 6*i + 1/6*i**4 + 0*i**3 + 1/30*i**5. Factor g(b).
2*(b - 1)*(b + 2)**2/3
Let u(f) = 10*f**2 - 9*f + 3. Let y be u(1). Factor s - 1/2*s**y + 2*s**3 - 5/2*s**2 + 0.
-s*(s - 2)*(s - 1)**2/2
Factor 3/2*l + 1/2*l**2 + 0.
l*(l + 3)/2
Let i(q) be the second derivative of -q**6/30 + 9*q**5/20 - 7*q**4/12 - 3*q**3/2 + 4*q**2 - 17*q - 3. Factor i(a).
-(a - 8)*(a - 1)**2*(a + 1)
Let c(n) = n**4 + n**3 - n - 1. Let y(z) = 2*z**4 - 4*z**3 - 12*z**2 - 12*z - 6. Let l(h) = 4*c(h) - y(h). Factor l(s).
2*(s + 1)**4
Suppose 2*g + 3*g - 55 = 0. Suppose h + 4*a = -g + 3, a - 55 = -5*h. Factor -10*x**4 + 3*x**5 - 6*x**2 + 0*x**4 + 5*x + h*x**3 - 4*x.
x*(x - 1)**3*(3*x - 1)
Let x be 0 - ((-1 - -4) + -1)*-1. Let t be (-3)/((-9)/4) - 1. Factor -t*u**x + 1/3 + 0*u.
-(u - 1)*(u + 1)/3
Let h(a) = -a**4 + 4*a**3 - 5*a**2 - 5. Let x(k) = k**4 - 6*k**3 + 7*k**2 + 7. Let p(q) = 7*h(q) + 5*x(q). Factor p(f).
-2*f**3*(f + 1)
Let z be (0/2)/(8/(-8)). Let j = -10/13 - -136/143. Factor j*u**2 + z + 0*u + 2/11*u**3.
2*u**2*(u + 1)/11
Let v(j) be the third derivative of 0*j + 0 - 1/40*j**5 + 0*j**3 - 1/240*j**6 - 1/24*j**4 - 3*j**2. Factor v(i).
-i*(i + 1)*(i + 2)/2
Let l(g) = 6*g**4 + 12*g**3 + 18*g**2 + 6*g + 3. Let o(a) = -5*a**4 - 12*a**3 - 17*a**2 - 6*a - 2. Let z(n) = -2*l(n) - 3*o(n). Find v such that z(v) = 0.
-2, -1, 0
Find i such that -24/7 + 3*i + 3/7*i**2 = 0.
-8, 1
Let m(y) be the first derivative of 1/3*y**2 - 2/27*y**3 - 4/9*y - 2. Find l, given that m(l) = 0.
1, 2
Let m = 16 + -18. Let u be 7*2/(-14)*m. Solve 1/4*o**3 + 1/4*o + 0 - 1/2*o**5 - 3/4*o**4 + 3/4*o**u = 0 for o.
-1, -1/2, 0, 1
Solve 4/3*x + 6*x**4 - 32/3*x**3 + 0 + 10/3*x**2 = 0.
-2/9, 0, 1
Let s(k) be the first derivative of -k**3/4 - 3*k**2/8 + 3*k/2 + 5. Determine y so that s(y) = 0.
-2, 1
Suppose 0*x = 6*x - 12. Let y(t) be the second derivative of -5*t + 2/135*t**6 + 1/189*t**7 + 1/90*t**5 + 0 + 0*t**x + 0*t**3 + 0*t**4. Factor y(h).
2*h**3*(h + 1)**2/9
Let j(k) = k**3 + k**2 + k. Let s(h) = 8*h**3 + 2*h**2 + 5*h. Let p(x) = 5*j(x) - s(x). Suppose p(d) = 0. What is d?
0, 1
Let l(y) = y**3 + y**2 - y. Let p be l(0). Let q(u) be the second derivative of -u + 1/12*u**4 - 1/30*u**6 + 0*u**2 + p*u**3 + 0*u**5 + 0. Factor q(z).
-z**2*(z - 1)*(z + 1)
Suppose -2*y = -3*a + 20, a + a - 2*y = 16. Factor 19*u**3 - 56*u**2 - 10*u**3 + 11*u - 42*u + 7*u**3 - a.
(u - 4)*(4*u + 1)**2
Let p(h) be the first derivative of -2*h**3/21 + 4*h**2/7 - 8*h/7 + 2. Determine x, given that p(x) = 0.
2
Find y such that -15/4*y + 0 + 5/4*y**2 = 0.
0, 3
Let r(a) be the second derivative of -a**7/105 - a**6/20 - a**5/15 - a**2 + 2*a. Let x(l) be the first derivative of r(l). Factor x(s).
-2*s**2*(s + 1)*(s + 2)
Let m be ((-5)/75)/((-3)/10). Factor -m*v**3 + 2/9*v + 2/9*v**2 - 2/9.
-2*(v - 1)**2*(v + 1)/9
Let s(w) be the first derivative of w**6/21 + 2*w**5/35 - 3*w**4/14 - 2*w**3/21 + 2*w**2/7 + 1. Determine z so that s(z) = 0.
-2, -1, 0, 1
Factor -2/7*g**2 + 0 - 8/7*g.
-2*g*(g + 4)/7
Let u(s) be the first derivative of -7/60*s**6 + 0*s - s**2 + 3 - 2/3*s**3 - 11/12*s**4 - 8/15*s**5. Let w(l) be the second derivative of u(l). Factor w(d).
-2*(d + 1)**2*(7*d + 2)
Let k(o) = -o**2 - 6*o + 2. Let u be k(-6). Let t = 4 - u. Let -2*w - w**2 - 2*w**2 - w**t + 3*w**2 = 0. What is w?
-2, 0
Let -3*c - 4 + 7 + c**2 - 1 = 0. Calculate c.
1, 2
Let u(y) be the first derivative of -8/3*y**6 - 8*y**5 + 0*y - y**2 - 9*y**4 - 2 - 14/3*y**3. Determine c, given that u(c) = 0.
-1, -1/2, 0
Let f(r) be the second derivative of r**5/60 + r**4/4 + 4*r**3/3 + 8*r**2/3 - 18*r. Factor f(p).
(p + 1)*(p + 4)**2/3
Suppose 9*q - 10*q + 4 = 0. Let v(f) be the first derivative of 2*f**2 + q*f + 1/3*f**3 - 3. What is p in v(p) = 0?
-2
Solve 0 + 3/4*b**3 - 5/4*b**2 + 1/2*b = 0 for b.
0, 2/3, 1
Let a = -2 + 6. Let t(k) = -2*k**5 - 4*k**2 - 6*k. Let u(l) = -2*l**5 + l**3 - 3*l**2 - 5*l. Let b(j) = a*u(j) - 3*t(j). Let b(c) = 0. What is c?
-1, 0, 1
Let r be ((-4)/20)/(94/(-215)). Let m = r + 2/47. Solve -m*q**2 - 1/2*q + 1/2 + 1/2*q**3 = 0.
-1, 1
Let j(c) = 3*c**2 - 2*c + 3. Let k(q) = q**2 + q + 1. Let p(m) = m**2 - 6*m + 1. Let u(f) = -3*k(f) - p(f). Let s(y) = -5*j(y) - 4*u(y). Factor s(w).
(w - 1)**2
Solve -4/13*o**3 + 8/13*o**2 - 4/13 + 2/13*o - 4/13*o**4 + 2/13*o**5 = 0.
-1, 1, 2
Let o(y) = 6*y**3 - 4*y**2 - 7*y - 4. Let l(p) = -5*p**3 + 3*p**2 + 6*p + 4. Let x(r) = 7*l(r) + 6*o(r). What is s in x(s) = 0?
-1, 2
Let 3*f**2 + f**2 + 46 + 40 + 56*f + 110 = 0. Calculate f.
-7
Suppose -19 - 20*o**4 - 2*o**3 + 4 + 95*o + 35*o**3 - 165*o**2 + 72*o**3 = 0. What is o?
1/4, 1, 3
Let t(d) = 0*d**2 - d**3 + 11*d**4 + 0*d - 5*d**2 + 5 + 4*d**2 + d. Let k(z) = -39*z**4 + 3*z**3 + 3*z**2 - 3*z - 18. Let s(v) = -5*k(v) - 18*t(v). Factor s(p).
-3*p*(p - 1)**2*(p + 1)
Suppose -1/8*t**3 - 1/8*t**2 + 1/4*t + 0 = 0. What is t?
-2, 0, 1
Let j(m) be the third derivative of -m**5/150 - m**4/12 - 2*m**3/5 + 15*m**2. What is d in j(d) = 0?
-3, -2
Suppose 28 = -2*v - 4. Let b be 24/14 - v/56. Find w, given that -3*w**2 - 16*w - 2 - 35*w**b + 6*w**2 = 0.
-1/4
Let o(w) be the first derivative of -w**6/15 + w**5/10 + w**4/2 - 5*w**3/3 + 2*w**2 - w + 1. Let c(i) be the first derivative of o(i). Factor c(d).
-2*(d - 1)**3*(d + 2)
Let p be ((-13)/(-26))/((-35)/(-42)). Suppose -p + 3/5*l**3 - 9/5*l**2 + 9/5*l = 0. What is l?
1
Let r(o) be the second derivative of o**8/23520 - o**7/2940 + o**6/840 - o**5/420 - o**4/12 + 6*o. Let z(s) be the third derivative of r(s). Factor z(v).
2*(v - 1)**3/7
Let n(x) be the first derivative of x**4/54 - 3*x + 4. Let z(u) be the first derivative of n(u). Let z(k) = 0. What is k?
0
Let k be (100/80)/((-15)/(-18)). Factor 0*x - k*x**2 + 0.
-3*x**2/2
Suppose 9*w - 1 - 97/4*w**2 - 4*w**4 + 18*w**3 = 0. Calculate w.
1/4, 2
Let b(r) be the third derivative of -9*r**6/280 - r**5/20 + 5*r**4/14 - 2*r**3/7 - 16 | {
"pile_set_name": "DM Mathematics"
} |
by 967?
735
Calculate the remainder when 53184 is divided by 5198.
1204
Calculate the remainder when 2317954 is divided by 1351.
989
What is the remainder when 4444891 is divided by 54?
43
Calculate the remainder when 320207 is divided by 1753.
1161
Calculate the remainder when 1567513 is divided by 624.
25
What is the remainder when 7564556 is divided by 1720?
1716
Calculate the remainder when 15976266 is divided by 10215.
6
Calculate the remainder when 35397780 is divided by 161.
159
What is the remainder when 1465057 is divided by 118?
87
What is the remainder when 5507443 is divided by 2133?
37
What is the remainder when 2262654 is divided by 56564?
94
Calculate the remainder when 1877228 is divided by 144401.
15
Calculate the remainder when 4517664 is divided by 90.
24
What is the remainder when 29344 is divided by 245?
189
Calculate the remainder when 1635370 is divided by 1869.
1864
Calculate the remainder when 357808 is divided by 2177.
780
What is the remainder when 2265982 is divided by 377618?
274
What is the remainder when 518785 is divided by 2647?
2620
Calculate the remainder when 700227 is divided by 1929.
0
What is the remainder when 67043 is divided by 11117?
341
What is the remainder when 6887 is divided by 2762?
1363
Calculate the remainder when 193345 is divided by 517.
504
What is the remainder when 562512 is divided by 45896?
11760
What is the remainder when 3010636 is divided by 279?
226
What is the remainder when 3686921 is divided by 6655?
51
What is the remainder when 219060 is divided by 109528?
4
Calculate the remainder when 9769511 is divided by 751496.
63
Calculate the remainder when 55641 is divided by 1353.
168
Calculate the remainder when 636181 is divided by 159021.
97
Calculate the remainder when 1088436 is divided by 57286.
2
Calculate the remainder when 30001 is divided by 3325.
76
Calculate the remainder when 1211314 is divided by 459.
13
What is the remainder when 83048 is divided by 57?
56
What is the remainder when 4423578 is divided by 105323?
12
What is the remainder when 7454613 is divided by 1145?
663
What is the remainder when 3542451 is divided by 177?
150
Calculate the remainder when 713650 is divided by 33.
25
Calculate the remainder when 111783 is divided by 12151.
2424
What is the remainder when 61611927 is divided by 165?
102
Calculate the remainder when 8820954 is divided by 2049.
9
Calculate the remainder when 10501675 is divided by 1714.
1711
What is the remainder when 769325 is divided by 3042?
2741
Calculate the remainder when 7880306 is divided by 56.
42
What is the remainder when 9032152 is divided by 1290307?
3
What is the remainder when 111270 is divided by 486?
462
What is the remainder when 155081 is divided by 38750?
81
Calculate the remainder when 223693866 is divided by 12.
6
What is the remainder when 28981 is divided by 1939?
1835
Calculate the remainder when 83563 is divided by 3218.
3113
What is the remainder when 110101 is divided by 1638?
355
What is the remainder when 31542569 is divided by 90?
89
What is the remainder when 1382812 is divided by 734?
690
What is the remainder when 2065837 is divided by 108727?
24
What is the remainder when 11389 is divided by 10?
9
Calculate the remainder when 1257213 is divided by 1218.
237
What is the remainder when 97426 is divided by 32274?
604
What is the remainder when 3155854 is divided by 1529?
1527
Calculate the remainder when 162028564 is divided by 377.
373
Calculate the remainder when 355069 is divided by 17690.
1269
What is the remainder when 17393944 is divided by 15572?
20
What is the remainder when 959940 is divided by 119990?
20
Calculate the remainder when 103347078 is divided by 361.
359
What is the remainder when 79912 is divided by 19925?
212
Calculate the remainder when 31891786 is divided by 25.
11
What is the remainder when 174257 is divided by 416?
369
What is the remainder when 38572 is divided by 390?
352
Calculate the remainder when 24417 is divided by 916.
601
What is the remainder when 11598573 is divided by 32308?
1
Calculate the remainder when 12310184 is divided by 140.
124
What is the remainder when 2624454 is divided by 139?
134
What is the remainder when 86290 is divided by 1626?
112
Calculate the remainder when 348016 is divided by 12679.
5683
What is the remainder when 254479 is divided by 12048?
1471
Calculate the remainder when 8441007 is divided by 270.
267
What is the remainder when 181634 is divided by 60460?
254
What is the remainder when 15690998 is divided by 72?
38
What is the remainder when 1847465 is divided by 184744?
25
Calculate the remainder when 6142336 is divided by 275.
211
What is the remainder when 2720578 is divided by 82?
64
What is the remainder when 1615218 is divided by 14?
10
Calculate the remainder when 6161145 is divided by 298.
293
Calculate the remainder when 192998709 is divided by 83.
54
Calculate the remainder when 234054 is divided by 226054.
8000
What is the remainder when 7821 is divided by 6591?
1230
Calculate the remainder when 7775489 is divided by 7.
1
What is the remainder when 18560307 is divided by 15?
12
Calculate the remainder when 12584 is divided by 6224.
136
Calculate the remainder when 381672718 is divided by 80.
78
Calculate the remainder when 1658350 is divided by 829164.
22
Calculate the remainder when 9182626 is divided by 106.
58
What is the remainder when 836908 is divided by 162?
16
What is the remainder when 205990 is divided by 205639?
351
What is the remainder when 509041 is divided by 2242?
107
What is the remainder when 782142 is divided by 3558?
2940
What is the remainder when 330894 is divided by 330889?
5
What is the remainder when 1025711 is divided by 176?
159
Calculate the remainder when 17885540 is divided by 3479.
1
What is the remainder when 2485986 is divided by 206994?
2058
What is the remainder when 398170 is divided by 1021?
1001
Calculate the remainder when 899203 is divided by 113.
62
Calculate the remainder when 1892033 is divided by 630633.
134
Calculate the remainder when 22623158 is divided by 4324.
4314
Calculate the remainder when 34919200 is divided by 1432.
1312
What is the remainder when 271401 is divided by 156?
117
Calculate the remainder when 26075893 is divided by 3725125.
18
Calculate the remainder when 63320 is divided by 31657.
6
What is the remainder when 126566 is divided by 21031?
380
What is the remainder when 2455027 is divided by 306878?
3
What is the remainder when 196502 is divided by 195972?
530
Calculate the remainder when 170761 is divided by 612.
13
What is the remainder when 6258370 is divided by 2086118?
16
What is the remainder when 46975 is divided by 6696?
103
Calculate the remainder when 49511078 is divided by 219.
215
Calculate the remainder when 35136 is divided by 26.
10
What is the remainder when 1426159 is divided by 6148?
5971
Calculate the remainder when 25731124 is divided by 8577036.
16
Calculate the remainder when 953464 is divided by 1248.
1240
What is the remainder when 150204804 is divided by 30?
24
What is the remainder when 507114 is divided by 5452?
78
Calculate the remainder when 235724 is divided by 235228.
496
What is the remainder when 9736557 is divided by 3245498?
63
What is the remainder when 2967662 is divided by 2403?
2360
Calculate the remainder when 749262 is divided by 2159.
89
What is the remainder when 65287 is divided by 65206?
81
What is the remainder when 1077252 is divided by 41425?
202
What is the remainder when 113274621 is divided by 56637306?
9
Calculate the remainder when 82901 is divided by 16431.
746
What is the remainder when 887835 is divided by 28541?
3064
What is the remainder when 1962060 is divided by 23?
22
What is the remainder when 65861139 is divided by 5190?
39
Calculate the remainder when 268884 is divided by 493.
199
What is the remainder when 7995104 is divided by 119325?
329
What is the remainder when 1108961 is divided by 768?
737
Calculate the remainder when 363278 is divided by 60514.
194
Calculate the remainder when 1387857 is divided by 948.
933
What is the remainder when 61619 is divided by 15212?
771
What is the remainder when 296803 is divided by 174?
133
What is the remainder when 144072571 is divided by 118?
117
Calculate t | {
"pile_set_name": "DM Mathematics"
} |
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