text
stringlengths 270
8.19k
| meta
dict |
|---|---|
3 - 11*m**3 + m. Let x be y(-1). Is 24 a factor of -180*((-48)/x)/6?
True
Let k = -43 - -45. Suppose k*r = -7*r. Suppose 2*o - 3*s = -6*s + 83, -4*o + 4*s + 176 = r. Does 4 divide o?
False
Suppose -4*n = -3*b + b - 140, 5*n = -5. Is b*2/4*-3 a multiple of 9?
True
Suppose 106 = -r + 4*z, -5*r - z - 236 = 252. Let u(w) = 18*w + 4. Let d be u(6). Let g = d - r. Is 35 a factor of g?
True
Suppose -180 = l - 6*l. Let m be (-8)/l - -1*47/9. Suppose 0 = m*n - 9*n + 340. Is n a multiple of 21?
False
Let j = -309 - -314. Suppose -j*s - 4*d + 1812 = 0, -5*d + 735 = s + s. Does 12 divide s?
True
Suppose -204*b - 3*j - 25145 = -206*b, 3*b + 3*j - 37755 = 0. Is b a multiple of 148?
True
Let j(i) = 31*i**2 + 103*i + 30. Is j(18) a multiple of 24?
True
Let r(v) = 55*v**3 + 3*v**2 - 2*v - 12. Let s be r(-7). Does 72 divide 1/5 + 1*s/(-20)?
True
Let m(x) = -1351*x + 330. Is m(-2) a multiple of 8?
True
Suppose -5140 = -22*v + 3968. Suppose -2*m = -3*l + 602, -4*m - 3*l - 1463 = m. Let c = m + v. Does 14 divide c?
False
Let h be ((-368)/(-64) - (-1)/4) + -418. Let n = h + 652. Is 10 a factor of n?
True
Let a = 647 - -1589. Is a a multiple of 52?
True
Let d(s) be the second derivative of -s**4/12 + 4*s**3/3 + 214*s**2 + 6*s - 11. Is 46 a factor of d(0)?
False
Suppose -z - 5*m + 651 = 0, 100*m - 99*m + 693 = z. Suppose w - 2*x - 4 = 0, -2*w = -w - 4*x - 8. Does 9 divide w + (7/(-14) - z/(-4))?
True
Let r(h) = 1174*h**2 + 258*h - 504. Is 165 a factor of r(2)?
False
Let i = -124 + 126. Let s(q) = -q**2 + 8*q + 4*q**i - 2*q**2 + 3*q - 26. Does 18 divide s(-19)?
True
Let i(a) = 222*a**3 - a**2 + a. Let b be i(1). Let v be (b/7 - -2) + 10/35. Let l = v - 25. Is 4 a factor of l?
False
Let j(m) = 857*m**2 + 16*m + 27. Is 26 a factor of j(-5)?
True
Let d be ((-740)/25 - (-4)/(-10))*-1. Let q = 170 - d. Suppose 0 = -10*i + 3*i + q. Is 10 a factor of i?
True
Suppose 10*p - 70 = -0. Suppose -m = p*m - 456. Is 20 a factor of m?
False
Suppose 2*i + 2*v - 44238 = 0, -10 = 595*v - 590*v. Does 140 divide i?
False
Let w be 11964/10*(-14)/105*-25. Suppose 22*q - 26*q = -w. Is 45 a factor of q?
False
Let r(a) = 2*a**3 + a**2 - 2. Let x be r(2). Suppose x*v = 14*v + 8. Suppose 84 = h - v*q, 7*h + 2*q - 228 = 4*h. Does 26 divide h?
True
Let p(n) = -n**2 - 5*n - 9. Let h be p(-3). Is 4 a factor of 36/(-45)*(h - (-79)/(-2))?
False
Suppose 0 = -22*q + 19*q + 2*g + 57270, -q = 2*g - 19082. Is 8 a factor of q?
True
Suppose -5*p = -g - 16, -2*p - 10*g + 11*g + 7 = 0. Suppose q + 914 = p*t + 192, -3*q - 486 = -2*t. Is t a multiple of 16?
True
Let w be (-1 + (-2)/10)/((-3)/10). Suppose -4*z = w, 4*k - 5*z - 37 = -16. Is 27 a factor of (-100 + -10)/(-1 + 2/k)?
False
Let y(q) = 2394*q + 67. Is y(1) a multiple of 4?
False
Let s(z) = -18*z + 82. Let d be s(5). Is 23 a factor of 4460/18 + -4*d/144?
False
Let i = -701 + 1845. Does 111 divide i?
False
Suppose -f - 5*v = 123 - 3771, 3648 = f + 4*v. Is 114 a factor of f?
True
Let a(g) = -7 + 15 + 7 + 9 + 30*g. Is 26 a factor of a(5)?
False
Let t(f) = 3*f - 1. Suppose 4 + 17 = m + 5*p, -5*m + 240 = -2*p. Suppose -4*q - m = -2*l, 2*q = -6 + 2. Is t(l) a multiple of 4?
True
Suppose -2*b - 4*s = -64, 5*s + 25 = b - 0*s. Let q(j) = -15 + 45*j + b*j - 85*j. Does 15 divide q(-6)?
True
Let o = -231 + -15. Let g = o + 439. Is 16 a factor of g?
False
Suppose 4*h + 10 = 3*z, -10 = h + 4*h - 5*z. Let g(s) = -s - 1. Let k(i) = 12*i - 28. Let m(w) = h*g(w) - k(w). Does 39 divide m(-15)?
False
Let u(o) = -3*o**2 + 154*o + 100. Let d be u(51). Suppose -x - 4*a = 10, 0*x - 3*a = 2*x + 15. Is d + (-8 - x)*(-3)/6 a multiple of 8?
True
Let p be ((-16)/(-20))/((-42)/35)*3. Is (p + (-20)/(-8))/((-4)/(-992)) a multiple of 31?
True
Does 7 divide (4/12)/((-113771)/56889 - -2)?
True
Let a = 4796 + 2339. Is a a multiple of 12?
False
Let f(h) = -4*h**2 + 42*h - 13. Let k be f(6). Suppose 3 = -0*r - 3*r. Is k + -3 + (-1 - r) a multiple of 23?
True
Let p = 33 - 31. Suppose -5*z + p + 4 = 3*m, m + 2*z - 1 = 0. Suppose -171 = -m*o - 2*o. Does 5 divide o?
False
Is (-9652)/(-3) - 5*((-64)/(-120))/8 a multiple of 23?
False
Suppose -20*y = -25*y - 2*x + 6683, 3*x = 12. Suppose 3*w + 390 = y. Is 9 a factor of w?
True
Suppose 131 = 3*w - 670. Suppose 0 = 2*p + 2*i - 18, 29*p + 4*i - 6 = 27*p. Suppose w = d + p. Is 63 a factor of d?
True
Suppose 4*d = 4*a + 21288, 66*d - 26655 = 61*d - 4*a. Does 12 divide d?
False
Suppose -15*i = 30247 - 188362. Suppose -i + 3251 = -18*l. Is l a multiple of 27?
True
Suppose -5*l + 28 = -2*c, 0*c + 5*c = l - 1. Suppose -t + 515 = 2*h, -l*t + 2*t + 2069 = -h. Suppose -464 = -4*m - 4*k, -5*m + 75 = 2*k - t. Does 24 divide m?
True
Let q(u) = u + 101. Let b be q(-14). Suppose v + 3*i - b = 0, 4*v = -i + 205 + 154. Does 15 divide v?
True
Let z(q) = 163*q**2 - 24*q - 87. Is z(-9) a multiple of 12?
True
Let s(u) be the first derivative of 4*u + 2*u - 14 - 3*u**2 - 3*u + 4*u + 8*u**3. Is 5 a factor of s(1)?
True
Let y(o) = 428*o**2 + 32*o + 180. Is 32 a factor of y(-5)?
True
Let y = -8496 - -14997. Does 10 divide y?
False
Suppose -4*t + 4*h + 348 = 0, -5*t + 6*t = -h + 77. Let r = t + 92. Is 17 a factor of r?
False
Let f(o) be the first derivative of 17 + 2/3*o**3 + 6*o - 1/4*o**4 + 3/2*o**2. Is f(-3) a multiple of 6?
True
Let v be ((-11)/((-88)/480))/(2 + 0). Suppose 4*j = -5*h - 7, 0 = j - 0*h - 4*h - 14. Is -2*j/2 - v*-3 a multiple of 6?
False
Suppose 0 = 2*a - 5*d - 20 - 1, 0 = -d - 3. Is a/4 - (-2025)/20 a multiple of 16?
False
Let c(f) = -874*f - 187. Is 5 a factor of c(-1)?
False
Let f be (31/(-2))/((-2)/(-4)). Suppose 271 = -5*g - 3*t, -280*g + 3*t = -278*g + 121. Let a = f - g. Does 6 divide a?
False
Let i(j) = 4 - 3 + 511*j - 491*j. Suppose 2*w + 1 = 3. Does 7 divide i(w)?
True
Suppose 0 = 9*r - q - 2399, -104 = -4*r + 2*q + 956. Is r a multiple of 2?
False
Let a(i) = 36*i**3 + 7*i**2 - 47*i. Is a(4) a multiple of 2?
True
Let t be 4/(-16) + (-781)/(-4). Let c(s) = -30*s + 33. Let b be c(-3). Let u = t - b. Is 36 a factor of u?
True
Let m(a) = -3*a**2 + 126*a - 1. Let c be m(41). Let h be (-1340)/5*(-2)/2. Suppose -r + c = r + 2*d, 4*r - 2*d = h. Is 18 a factor of r?
False
Suppose -z = 3*q + 11087 - 57962, -2*z - 62510 = -4*q. Is 17 a factor of q?
False
Let o(n) = n**2 + 11*n - 25. Let v be o(8). Suppose 1585 = 3*q + 2*q. Suppose v = 4*p - q. Is 16 a factor of p?
False
Suppose -48*w - 51702 = -34*w - 35*w. Does 12 divide w?
False
Let b be (-4)/6*(2 + -1451). Let s = 1221 - b. Is 51 a factor of s?
True
Let r = 15 - 13. Let y be 3/(-4)*2/(-3)*0. Suppose -2*o + 178 = r*j, y = 2*o + o. Does 13 divide j?
False
Suppose 4*s + 0*s + 4 = -3*k, 0 = -k - 5*s - 5. Suppose k = -41*u + 29756 - 4910. Is 16 a factor of u?
False
Does 6 divide (2579 + 1)*8/(-112)*-7?
True
Let j be (6 - (-11)/(-2))*0. Suppose 3*s + 2913 = 3*l, j*l - 4*l - s = -3859. Does 42 divide l?
True
Let r(w) = 4*w - 33. Let t be r(7). Let y(f) = -4*f + 3. Let x be y(t). Does 17 divide x/23 + 38/1*4?
True
Let v(s) = -4*s - 43*s**3 - 2*s - 12 + 42*s**3 + 8*s**2 - 3*s. Let q(r) = -r**2 + 6*r + 5. Let x be q(6). Does 9 divide v(x)?
True
Suppose -56 = -2*y + 2*u - 3*u, 0 = -3*y - 3*u + 87. Let z = 239 - y. Is 12 a factor of z?
False
Let c(i) = -10*i - 4. Suppose 0 = 2*y - 4*q + 16, 2*y = 6*y - 5*q + 26. Is c(y) a multiple of 18?
True
Is ((175490/(-253))/(-35))/((-1)/(-11)) a multiple of 14?
False
Let m(r) be the second derivative of r**4/12 - 5*r**3/3 - 40*r**2 + 14*r + 2. Is m(18) a multiple of 18?
False
Let z be (0 + -52)/(-4)*1. Let j(c) = c**2 - 14*c + 15. Let p be j(z). Suppose -y + 3*f = p*f - 3, -2*y = 4*f - 12. Does 4 divide y?
True
Does 234 divide 8/(-30)*-54430 + 8/(-12) + -1?
False
Suppose -28387 - 22526 = -14*x + 312737. Is x a multiple of 6?
False
Suppose -46*x = -45*x + 6. Is 304 + x/(-2) + -2 a multiple of 61?
True
Let o = 534 - -78. Is o a multiple of 9?
True
Let i(n) = -3*n**3 + 15*n**2 + 18*n + 19. Let g = -18 - -16. Let m(x) = -x**3 - x + 1. Let u(l) = g*m(l) + i(l). Does 10 divide u(16)?
False
Suppose -708066 = -28*g - 18874. Is 61 a factor of g?
False
Suppose 19*v - 7918 = 393210. Does 191 divide v?
False
Suppose y - 4480 = -t, -2*t = -356*y + 360*y - 17918. Does 41 divide y?
False
Let n(a) = 4*a + 0*a - a**3 - 1 - 7*a**2 + 3*a - 3. Let l be n(-8). Suppose o + l*r = 58, -5*o - 2*r
|
{
"pile_set_name": "DM Mathematics"
}
|
pose f*w - 2*w - 1395 = 0. Is w prime?
False
Suppose 2*g - q = 2, -2*g + 3*q + 10 = -0*g. Let a be (13/(2/(-2)))/g. Let x = 20 - a. Is x prime?
True
Let d = 13205 + -5676. Is d composite?
False
Suppose -4*z = -z - 18. Let i be (z/8)/(3/8). Suppose -i*l - p = -674, l - p = -0*l + 331. Is l composite?
True
Let f(g) = -108*g - 5. Is f(-3) a prime number?
False
Suppose 23*t - 16508 = 15669. Is t a prime number?
True
Let d = 3286 + -5439. Let y = d + 3106. Is y a composite number?
False
Let f(h) = 43*h**2 - 84*h**2 + 541 + h**3 + 43*h**2. Is f(0) a composite number?
False
Let h be 15/3 - 5 - -4. Suppose h*j - 11986 = -b + 3*b, j - 3007 = -3*b. Is j prime?
False
Let p = 1802 + -1135. Let u be (4/(-2) + 0)*-1. Suppose -q - u*y + 321 = 0, -2*q = -0*q - y - p. Is q prime?
True
Suppose -w + 8*j + 143345 = 11*j, 286670 = 2*w - 4*j. Is w a composite number?
True
Suppose c + c - 6 = 0. Let n(y) = 0*y - 8*y**c + 0*y**2 + 9*y**3 + 5 - 3*y**2 + 5*y. Is n(10) prime?
False
Let p(z) be the second derivative of -19*z**3/3 - 3*z**2/2 + 6*z. Is p(-4) composite?
False
Suppose -10*x + 3130 + 7230 = 0. Suppose 4*s = x - 212. Is s a prime number?
False
Let q(j) = -j**2 + 21*j + 24. Let p be q(22). Suppose -p*v = 2*v - 5*g - 1220, -4*v + 1220 = g. Is v a prime number?
False
Let o(j) = 4*j + 3241. Is o(0) a prime number?
False
Suppose -3*b - 9 = 4*t, -3*t + 3*b - 8 = 4*b. Let l be ((-10)/t)/((-5)/45). Let w = 73 + l. Is w a composite number?
False
Let k = 14667 - 9884. Is k a prime number?
True
Let o = 3139 - 1778. Is o a prime number?
True
Suppose -12 = -3*d, -3*f - d + 10 + 6 = 0. Suppose 5 = f*g - 7. Suppose -5*i - 4*x = -g*x - 1040, -5*i = 5*x - 1020. Is i composite?
True
Suppose -12 = -4*i, 0*h + 4*i - 13617 = -5*h. Is h a prime number?
False
Let o(d) = -1 - 10*d**3 + d**2 + 5*d**3 + 0. Let y be o(-1). Suppose -4*k + 5*a + 399 = 0, 0*k = y*k - 2*a - 520. Is k a composite number?
True
Let p = 125 - 36. Suppose -2*c - 1080 = -5*t, 2*t - 4*t + 432 = 2*c. Let s = t - p. Is s composite?
False
Suppose -17*v + 2108 = 19380. Is (6/(-4) + -2)/(4/v) a composite number?
True
Let q be 0 + 1*(3 - 0). Suppose 4*j - 3*l = 410, q*l - 9 = j - 107. Let p = j + 14. Is p composite?
True
Let w = -4 - -4. Suppose w = 3*c - c. Suppose 0 = 4*u - c*u - 388. Is u a composite number?
False
Let v(h) = h**3 + 22*h**2 - 16. Let w(m) = 2*m**2 + 14*m + 9. Let q be w(-5). Is v(q) composite?
True
Is (-36606)/(-27)*(-9)/(-1) composite?
True
Let a = -9885 + 5472. Is 3*a/12*8/(-6) composite?
False
Let s be 94/18 + -5 + (-13478)/(-18). Let p = 1450 - s. Is p composite?
False
Suppose 2*s - 1 = -y - 14, -29 = 2*y + 3*s. Let j(i) = -2*i - 18. Let q be j(y). Suppose -4*h - 5*g + 3*g + q = 0, -12 = -h - 4*g. Is h composite?
True
Suppose c = -27 + 30. Suppose 5*p = 2 + c, -2529 = -4*k - 5*p. Is k composite?
False
Let t(f) = -1. Let x(b) = 4*b + 24. Let u(g) = -72*t(g) - 4*x(g). Let l be u(-19). Let y = l + -71. Is y prime?
False
Let n be (7 - 4)/((-4)/(-1176)). Suppose 2*q = h + n + 687, 5*q + h = 3940. Is q a prime number?
True
Let q(v) = -27*v**2 - 8*v - 3. Let c be q(-3). Let u = -109 - c. Is u composite?
False
Let w be (15/5)/(6/4). Suppose 0 = -w*t + 6*t - 4444. Is t a prime number?
False
Suppose 3*l - 18868 = -5*s, l - 4*s = -9*s + 6306. Is l a composite number?
True
Let j(z) = -4*z**3 + 38*z**2 - 8*z + 9. Is j(5) a prime number?
True
Let h(i) = 2*i**2 + 10*i + 3. Let y be h(-5). Let k(f) = 73*f**3 - 2*f**2 + 2*f + 4. Is k(y) composite?
True
Let i = 30160 - 10383. Is i a composite number?
False
Suppose -45*i = -42*i. Let h(r) = 3*r**2 + 2*r + 230. Let z(u) = -5*u**2 - 3*u - 459. Let j(w) = -7*h(w) - 4*z(w). Is j(i) a composite number?
True
Let a(j) = 2*j - 29. Let r be a(20). Suppose 0 = 13*l - r*l - 3722. Is l a prime number?
True
Suppose 2*w - 45 = -q - w, -2*q = 2*w - 102. Let t = q + 23. Is t composite?
True
Let u be (-5)/((-10)/6) + 9/(-3). Suppose u*h + 1161 = 9*h. Is h a composite number?
True
Let f be (-6)/21 - 920/(-35). Suppose 3*t - 3 = 0, t + f = 5*b - 13. Let o(i) = 4*i**2 - 7*i - 13. Is o(b) a composite number?
True
Let h = 83 - 85. Is (7/((-7)/(-43)))/((-1)/h) a prime number?
False
Is 3/((-1)/(-4)*(-12)/(-21269)) a prime number?
True
Let v(g) = 496*g**2 - 2*g + 83. Is v(-13) a composite number?
False
Let i be ((-34)/(-4))/(5/230). Let z = 416 + -738. Let u = i - z. Is u a composite number?
True
Let r = 52 + -85. Is -7762*((-6)/r + (-60)/88) a prime number?
True
Suppose 4*x + 3*k - 810 = k, 0 = -x + k + 204. Suppose -2*w + x = -239. Is w a prime number?
False
Let m = -48 - -65. Suppose -m*p = -15*p - 1022. Is p composite?
True
Suppose -12190 + 780 = -10*k. Is k a prime number?
False
Let c(z) = -z**2 + 26*z + 35. Suppose 5*a = -a. Let k = a + 18. Is c(k) prime?
True
Suppose 19759 - 74084 = -25*n. Is n a composite number?
True
Suppose 1459 = 5*s + 3*z - 0*z, z - 1463 = -5*s. Is s a composite number?
False
Suppose 0 = 5*d - 659 + 164. Let r = d + -48. Is r composite?
True
Let l = -18 - -26. Let a(h) = -10 + 6 + 5*h - l. Is a(13) prime?
True
Let g = 6 + 1. Suppose g*d - 5*d = 0. Suppose -w + 5*l = -53, w + l - 35 = -d*w. Is w composite?
True
Let r be 640/(-6) + ((-48)/9 - -5). Let f = 286 + r. Is f a prime number?
True
Let f(v) = -11*v**3 + v**2 + v. Let i be f(-1). Let y = i + -34. Is (y/2)/((-12)/264) a composite number?
True
Suppose 20*o + 58*o - 2697006 = 0. Is o a prime number?
False
Let b(s) = 971*s - 96. Is b(19) a composite number?
False
Let q(f) = -f**3 - 12*f**2 - 9*f + 6. Let g be q(-11). Let m be g/32*-42*1. Is (-6)/m + 2958/14 a prime number?
True
Suppose 0 = -20*s + 12*s + 6376. Is s composite?
False
Let g = -12 + 15. Suppose -2*x + 7 = g*w, -4*x + w + 23 = 2. Is x/((-15)/(-6)) + 1 composite?
False
Let w(g) = -337*g - 186. Is w(-45) prime?
False
Suppose -2*o + 900 = -4*x, 2*o - 5*x - 1348 = -o. Is o a prime number?
False
Let z(v) = 2*v - 2. Let p be z(3). Suppose -p*n + 73 + 667 = 0. Is n composite?
True
Let x(t) = -t**2 + 8*t + 3. Let j be x(8). Let r be j*(901/(-3) - -4). Let q = -596 - r. Is q a prime number?
True
Is (188/(-36) - (-2)/9) + 3078 prime?
False
Let b = 543 - 332. Is b prime?
True
Suppose -r - 2 = -5. Suppose 5*k = r + 7. Suppose 5*q = k*q + 102. Is q a composite number?
True
Suppose -3*o = 5*g - 11, 0*o - 4 = 2*g - 3*o. Let q(k) be the first derivative of 158*k**3/3 + k**2/2 - 2*k + 54. Is q(g) prime?
True
Let v(p) = -703*p + 82. Is v(-27) a composite number?
True
Let m be ((-16)/(7 + -3))/(-1). Suppose -6*q + m*q + 7010 = 0. Suppose y + q = 6*y. Is y a composite number?
False
Suppose -5*h - 3*p = 2*p - 2885, -p = -4*h + 2318. Suppose 4*w - 3*q - 1861 = h, -12 = -3*q. Is w composite?
False
Let r = -61 + 21. Is r/(-10)*491/4 a prime number?
True
Let k = -5 + 26. Let b = k - 2. Is b composite?
False
Let x(d) = -355*d**2 + 2*d - 2. Let i be x(-2). Let z = i - -2321. Is z a composite number?
True
Let w(i) = 5*i**3 + 6*i**2 - 5*i - 5. Let k(s) = 6*s**3 + 6*s**2 - 6*s - 6. Let a(y) = -6*k(y) + 7*w(y). Suppose 5*z - 24 + 4 = 0. Is a(z) prime?
True
Suppose -3*z + 10932 = t - 4*t, -2*t - 6 = 0. Is z a prime number?
False
Suppose -21*u + 43419 = -19*u - a, 4*a + 86840 = 4*u. Is u a prime number?
False
Let x = -258 - -393. Suppose 4994 = 2*a + d, x = 5*a + 3*d - 12349. Is a a composite number?
True
Let u(o) = 8*o**2 + o - 2. Let a be u(1). Suppose -4*n + 0*n = -k + 6, 4*k - a = -n. Is (n - 0)*(-101 - 2) prime?
True
Suppose 0*d - 22 = -3*h - 4*d, 5*h = d + 29. Suppose 2248 + 2186 = h*u. Is u composite?
False
Is ((-1)/(-5)*1)/(2/203690) composite?
False
Is (158186/21)/((-16)/(-24)) prime?
True
Is (2 - -1) + 2073 + -3 composite?
True
Let g(k) = -k**3 + 5*k**2 - 3*k. Suppose 20 = -5*t, -c - 3*c + t + 20 = 0. Let v be g(c). Suppose -v*i + 248 = 36. Is i prime?
True
Suppose 9*v - 8*v + 2*p - 2465 = 0, 3*p = 5*v - 12377. Is v a prime number?
True
Let f(u) = u**2 - 4*u + 2. Let x be f(2). Let o be x/7 + 120/28. Let m(t) = t**2 + 6*t - 3. Is m(o) prime?
True
Suppose 4*q + 8*g = 3*g - 65, 2*q + 3*g = -33. Let d = q - -22. Suppose d*z = 584 + 193. Is z a composite number?
True
Suppose -4*u + 4*r + 18 = u, 3*u + 2*r - 2 = 0. Suppose 0 = m - 6*m + 640. Suppose y = 3, -v = u*y + m - 492. Is v composite?
True
Suppose 0 = 4*k - 3*t - 2*t + 17, -2*t = -10. Suppose -k*z = z. Suppose 3*g
|
{
"pile_set_name": "DM Mathematics"
}
|
. Give prob of picking 1 p and 2 o.
1/55
What is prob of picking 1 k and 1 h when two letters picked without replacement from {h: 9, k: 1, z: 1, s: 2}?
3/26
Two letters picked without replacement from {q: 3, s: 1}. What is prob of picking 2 q?
1/2
Two letters picked without replacement from nxngnnlvnnvnnnnn. What is prob of picking 1 x and 1 n?
11/120
What is prob of picking 3 f when three letters picked without replacement from ffff?
1
Two letters picked without replacement from {i: 4, l: 6, p: 1, j: 2}. What is prob of picking 1 l and 1 i?
4/13
What is prob of picking 2 i, 1 s, and 1 o when four letters picked without replacement from {o: 2, i: 2, s: 11}?
22/1365
Three letters picked without replacement from {c: 5, h: 2}. Give prob of picking 2 c and 1 h.
4/7
Two letters picked without replacement from ifikifikiiff. What is prob of picking 1 k and 1 i?
2/11
Two letters picked without replacement from zyzwylwzlyzwwyl. What is prob of picking 1 z and 1 l?
4/35
What is prob of picking 1 v and 1 l when two letters picked without replacement from {p: 3, v: 1, e: 4, l: 6}?
6/91
Three letters picked without replacement from {j: 7, t: 3, z: 2}. Give prob of picking 2 j and 1 t.
63/220
Four letters picked without replacement from olfkuuk. Give prob of picking 2 k, 1 u, and 1 f.
2/35
Two letters picked without replacement from inioynk. Give prob of picking 2 i.
1/21
Two letters picked without replacement from djjiwwjvjdcdwwvvc. What is prob of picking 2 d?
3/136
Two letters picked without replacement from lmlmmxll. What is prob of picking 1 m and 1 x?
3/28
What is prob of picking 2 f and 2 u when four letters picked without replacement from affauauuauafa?
18/715
Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, o: 3}.
1/20
Four letters picked without replacement from {j: 3, o: 2, q: 5, m: 3, k: 3}. Give prob of picking 2 k and 2 q.
3/182
Two letters picked without replacement from sffsf. Give prob of picking 1 s and 1 f.
3/5
What is prob of picking 1 s, 1 h, and 1 r when three letters picked without replacement from rhsyysrsrrsohs?
10/91
What is prob of picking 1 h and 1 y when two letters picked without replacement from {t: 2, h: 1, y: 4, o: 2}?
1/9
Three letters picked without replacement from tpchphhhcc. Give prob of picking 2 c and 1 h.
1/10
Two letters picked without replacement from {n: 2, v: 3, y: 1, d: 4, j: 1}. What is prob of picking 1 n and 1 j?
2/55
Calculate prob of picking 2 e when two letters picked without replacement from xbexexbebxcx.
1/22
Calculate prob of picking 2 k and 1 o when three letters picked without replacement from {k: 8, o: 5}.
70/143
Two letters picked without replacement from ezeeeeszewzsseeees. What is prob of picking 2 z?
1/51
What is prob of picking 4 d when four letters picked without replacement from tdddddtt?
1/14
Calculate prob of picking 3 s and 1 b when four letters picked without replacement from bsbssbsbsssbb.
42/143
Calculate prob of picking 1 a, 1 x, and 1 w when three letters picked without replacement from {g: 2, w: 1, t: 1, z: 2, a: 2, x: 4}.
2/55
What is prob of picking 1 k and 3 w when four letters picked without replacement from kwwwkkwwkkkk?
14/99
Three letters picked without replacement from mkejmwwy. What is prob of picking 1 m, 1 j, and 1 w?
1/14
What is prob of picking 1 x and 3 n when four letters picked without replacement from {x: 2, n: 3}?
2/5
What is prob of picking 3 p when three letters picked without replacement from fffppbpfbfpbbff?
4/455
Four letters picked without replacement from {w: 4, m: 3, c: 1, t: 5}. Give prob of picking 4 t.
1/143
Two letters picked without replacement from {f: 1, l: 1, w: 2, s: 1}. What is prob of picking 1 l and 1 f?
1/10
Two letters picked without replacement from {j: 1, i: 2, e: 1, x: 2, g: 1, f: 1}. Give prob of picking 1 f and 1 j.
1/28
What is prob of picking 2 d when two letters picked without replacement from {d: 5}?
1
What is prob of picking 1 a and 3 o when four letters picked without replacement from aoodadqxoah?
1/110
What is prob of picking 1 s, 1 k, and 1 i when three letters picked without replacement from kkisf?
1/5
What is prob of picking 1 e, 1 n, and 1 o when three letters picked without replacement from oreernnrre?
1/20
Three letters picked without replacement from {l: 1, v: 1, j: 13}. What is prob of picking 3 j?
22/35
Calculate prob of picking 2 g and 1 d when three letters picked without replacement from {g: 7, d: 9}.
27/80
Two letters picked without replacement from {n: 1, j: 3, r: 1, o: 3, f: 3}. What is prob of picking 1 n and 1 r?
1/55
What is prob of picking 1 m, 1 k, and 2 r when four letters picked without replacement from {r: 4, m: 4, k: 9}?
54/595
Calculate prob of picking 2 z when two letters picked without replacement from erezjxxfz.
1/36
What is prob of picking 2 t when two letters picked without replacement from {t: 9}?
1
Calculate prob of picking 1 s and 3 z when four letters picked without replacement from {s: 15, z: 3}.
1/204
What is prob of picking 1 q, 1 h, and 1 o when three letters picked without replacement from foorororohrqrm?
5/364
What is prob of picking 1 j and 1 l when two letters picked without replacement from jjccjljjjdcjjcjjdjj?
4/57
Two letters picked without replacement from hrsggln. Give prob of picking 1 h and 1 r.
1/21
Three letters picked without replacement from {h: 5, w: 2, u: 3}. Give prob of picking 3 u.
1/120
Two letters picked without replacement from qfsffqqfsqqsqqqqqq. What is prob of picking 2 q?
55/153
Four letters picked without replacement from {m: 2, j: 1, l: 2, r: 1, v: 1}. What is prob of picking 1 v, 1 j, and 2 m?
1/35
Calculate prob of picking 4 d when four letters picked without replacement from {e: 3, d: 13}.
11/28
Calculate prob of picking 4 s when four letters picked without replacement from {s: 6, w: 12}.
1/204
Calculate prob of picking 1 a and 2 j when three letters picked without replacement from ajoaj.
1/5
Three letters picked without replacement from {j: 7, r: 5, c: 3, n: 4}. Give prob of picking 1 c and 2 n.
6/323
Calculate prob of picking 2 z and 2 o when four letters picked without replacement from zzzozoowooo.
3/11
Two letters picked without replacement from iixqmiiiiiiixjiiqiii. Give prob of picking 1 j and 1 m.
1/190
Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {n: 1, j: 8, z: 7, b: 4}.
4/95
Calculate prob of picking 2 a, 1 f, and 1 r when four letters picked without replacement from fratfaofarraffe.
6/91
Four letters picked without replacement from {c: 2, h: 3, j: 4, l: 2}. Give prob of picking 2 h and 2 l.
1/110
What is prob of picking 1 r and 1 c when two letters picked without replacement from {p: 1, m: 2, c: 1, h: 3, r: 3}?
1/15
Three letters picked without replacement from xigggiaigiagiiigg. Give prob of picking 1 i and 2 x.
0
Three letters picked without replacement from gganavnnvnggaangama. What is prob of picking 3 g?
10/969
Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {h: 3, b: 5, c: 2}.
1/3
Two letters picked without replacement from {g: 2, z: 3, r: 13}. What is prob of picking 2 r?
26/51
Calculate prob of picking 1 d, 1 c, and 2 b when four letters picked without replacement from ppcbppbd.
1/70
Two letters picked without replacement from {e: 3, r: 3, g: 1}. What is prob of picking 1 g and 1 r?
1/7
Two letters picked without replacement from rrvdrrrrrvvrrrrrrrrr. What is prob of picking 2 v?
3/190
Two letters picked without replacement from jbqtztj. Give prob of picking 2 t.
1/21
What is prob of picking 3 t and 1 m when four letters picked without replacement from {m: 4, c: 1, t: 5}?
4/21
What is prob of picking 2 y and 2 b when four letters picked without replacement from yyyyyyyyyyyyyyyyyyby?
0
Four letters picked without replacement from huawiiwuuuiuuuhi. Give prob of picking 1 a, 1 h, and 2 i.
3/455
Two letters picked without replacement from {o: 4, f: 5, b: 8}. Give prob of picking 2 f.
5/68
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from ggmnqumnh.
1/9
What is prob of picking 1 b and 2 z when three letters picked without replacement from {u: 1, d: 5, s: 1, b: 1, z: 3}?
1/55
What is prob of p
|
{
"pile_set_name": "DM Mathematics"
}
|
s prob of picking 1 r and 2 j?
1/112
Three letters picked without replacement from bbrbrrbrrbbbbbbbbbby. What is prob of picking 3 r?
1/114
Calculate prob of picking 1 u, 1 j, and 1 i when three letters picked without replacement from ivumvtujmtvmt.
1/143
What is prob of picking 1 b, 1 n, and 1 k when three letters picked without replacement from bkuon?
1/10
Two letters picked without replacement from {v: 3, y: 17}. What is prob of picking 2 v?
3/190
What is prob of picking 1 x and 2 h when three letters picked without replacement from {x: 5, o: 2, d: 4, h: 4}?
6/91
Three letters picked without replacement from rdrrzdrdcccccdz. Give prob of picking 2 r and 1 z.
12/455
What is prob of picking 2 x and 1 q when three letters picked without replacement from qxccqmxe?
1/28
What is prob of picking 1 r and 2 z when three letters picked without replacement from {r: 1, z: 17}?
1/6
Calculate prob of picking 2 n when two letters picked without replacement from {k: 6, e: 1, n: 3, q: 4, a: 1}.
1/35
Calculate prob of picking 2 g and 2 n when four letters picked without replacement from fnffnfnffngnfngfnn.
7/765
Two letters picked without replacement from {m: 1, f: 1, z: 2, j: 3}. What is prob of picking 2 z?
1/21
Two letters picked without replacement from {r: 11, a: 7, b: 2}. Give prob of picking 1 a and 1 r.
77/190
Two letters picked without replacement from koqqkqoiqikqiikqm. Give prob of picking 2 o.
1/136
Two letters picked without replacement from mmmmkkmm. What is prob of picking 1 k and 1 m?
3/7
Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 1, l: 1, e: 1, a: 2}.
1/10
Calculate prob of picking 3 w and 1 a when four letters picked without replacement from {a: 3, w: 3, x: 2}.
3/70
Two letters picked without replacement from qrqqqhhrqhqh. Give prob of picking 2 h.
1/11
What is prob of picking 1 w, 1 t, and 2 c when four letters picked without replacement from {u: 1, t: 10, n: 1, c: 6, w: 2}?
20/323
Four letters picked without replacement from eeeeeee. Give prob of picking 4 e.
1
What is prob of picking 1 a and 1 v when two letters picked without replacement from {t: 3, d: 2, a: 2, v: 2}?
1/9
What is prob of picking 3 r and 1 j when four letters picked without replacement from {j: 1, r: 3, x: 5, y: 1}?
1/210
Two letters picked without replacement from {y: 7, h: 4, e: 2, z: 1}. What is prob of picking 1 z and 1 h?
4/91
What is prob of picking 3 b when three letters picked without replacement from kkkkkbbkkb?
1/120
What is prob of picking 1 b, 1 e, and 1 h when three letters picked without replacement from lybelpbhpylbye?
3/182
Two letters picked without replacement from tpppptrpprpphhprphgg. What is prob of picking 1 r and 1 p?
3/19
Calculate prob of picking 2 n and 1 e when three letters picked without replacement from {n: 11, e: 1, t: 5}.
11/136
What is prob of picking 2 s and 1 j when three letters picked without replacement from {t: 1, e: 2, q: 1, s: 2, j: 1}?
1/35
Two letters picked without replacement from {j: 6, e: 2, u: 2, a: 1, x: 1, p: 3}. Give prob of picking 1 p and 1 e.
2/35
What is prob of picking 2 p when two letters picked without replacement from {d: 2, p: 6}?
15/28
Calculate prob of picking 1 z and 1 a when two letters picked without replacement from zzzzzzzzazzzz.
2/13
Three letters picked without replacement from gycqyyggysysbcgyycgy. Give prob of picking 2 s and 1 y.
2/285
Two letters picked without replacement from {h: 3, k: 4, n: 3, b: 1, m: 6, l: 2}. Give prob of picking 1 k and 1 b.
4/171
Calculate prob of picking 1 s and 1 g when two letters picked without replacement from ssgsgssssssssg.
33/91
What is prob of picking 2 y when two letters picked without replacement from {z: 1, y: 2, e: 1, q: 5, d: 3}?
1/66
Calculate prob of picking 3 o when three letters picked without replacement from deoeorrogdrrrorrog.
5/408
Calculate prob of picking 1 p and 1 s when two letters picked without replacement from ypvvhas.
1/21
Calculate prob of picking 1 c, 2 k, and 1 j when four letters picked without replacement from jkpctjjckjttjjk.
12/455
What is prob of picking 1 g and 1 f when two letters picked without replacement from fggggfggff?
8/15
Two letters picked without replacement from {b: 2, u: 2, l: 1}. Give prob of picking 2 b.
1/10
Two letters picked without replacement from hehthfolfll. What is prob of picking 2 f?
1/55
Four letters picked without replacement from mmmmvmvmvm. What is prob of picking 4 m?
1/6
Three letters picked without replacement from {n: 1, g: 11, j: 3}. What is prob of picking 1 n and 2 j?
3/455
What is prob of picking 4 p when four letters picked without replacement from ppppppp?
1
Three letters picked without replacement from {z: 1, o: 12, d: 3}. Give prob of picking 1 d and 2 o.
99/280
Four letters picked without replacement from {b: 3, s: 7}. Give prob of picking 2 b and 2 s.
3/10
What is prob of picking 1 k and 1 i when two letters picked without replacement from orrkooorroookiiddk?
2/51
What is prob of picking 1 y and 1 x when two letters picked without replacement from {m: 10, y: 1, e: 4, x: 2}?
1/68
Calculate prob of picking 1 d and 3 w when four letters picked without replacement from {r: 5, d: 3, f: 4, l: 3, a: 1, w: 4}.
4/1615
What is prob of picking 3 p when three letters picked without replacement from ppp?
1
Two letters picked without replacement from {e: 5, i: 8, t: 2}. Give prob of picking 1 t and 1 i.
16/105
Four letters picked without replacement from {l: 2, a: 9}. Give prob of picking 1 l and 3 a.
28/55
What is prob of picking 2 x when two letters picked without replacement from {z: 8, b: 6, x: 2, k: 2}?
1/153
What is prob of picking 2 h when two letters picked without replacement from {h: 2, e: 16}?
1/153
Three letters picked without replacement from rrrrr. Give prob of picking 3 r.
1
Calculate prob of picking 1 n and 2 x when three letters picked without replacement from {m: 2, o: 1, n: 10, x: 3}.
3/56
Four letters picked without replacement from ppqppnpmaqpbpanb. Give prob of picking 1 n, 1 a, 1 b, and 1 q.
4/455
Two letters picked without replacement from rirrfiiixri. What is prob of picking 1 r and 1 x?
4/55
What is prob of picking 4 g when four letters picked without replacement from {w: 4, y: 6, g: 6, t: 2}?
1/204
Three letters picked without replacement from ppagappppdptattdappt. What is prob of picking 1 a, 1 p, and 1 d?
6/95
Four letters picked without replacement from {i: 10, q: 5, g: 4}. What is prob of picking 4 i?
35/646
Four letters picked without replacement from mmmemmmeem. What is prob of picking 1 m and 3 e?
1/30
Four letters picked without replacement from {y: 3, l: 4}. What is prob of picking 1 y and 3 l?
12/35
What is prob of picking 2 p when two letters picked without replacement from {p: 2, v: 3, g: 2, t: 3, y: 1, u: 1}?
1/66
Calculate prob of picking 3 c when three letters picked without replacement from ccomooc.
1/35
Three letters picked without replacement from {h: 5, o: 5, b: 1}. Give prob of picking 2 h and 1 o.
10/33
Three letters picked without replacement from {y: 3, n: 5, c: 3}. Give prob of picking 1 c, 1 n, and 1 y.
3/11
What is prob of picking 2 j and 1 r when three letters picked without replacement from rrjrrjjr?
15/56
What is prob of picking 2 h when two letters picked without replacement from {h: 6, v: 4}?
1/3
What is prob of picking 2 u when two letters picked without replacement from {u: 2, c: 6}?
1/28
Calculate prob of picking 4 y when four letters picked without replacement from {n: 2, y: 7}.
5/18
Two letters picked without replacement from {w: 1, m: 2, f: 1, z: 1}. Give prob of picking 1 w and 1 z.
1/10
Three letters picked without replacement from uuuuussuus. What is prob of picking 3 s?
1/120
Calculate prob of picking 1 m and 2 y when three letters picked without replacement from dyoomymloyqmollyl.
9/340
Two letters picked without replacement from vgpqvgtxvxgvgx. What is prob of picking 1 g and 1 v?
16/91
What is prob of picking 2 m and 1 d when three letters picked without replacement from {a: 5, d: 1, q: 3, m: 9}?
3/68
Two letters picked without replacement from uom. Give prob of picking 1 o and 1 m.
1/3
What is prob of picking 2 z when two letters picked without replacement from {t: 2, z: 7, e: 3}?
7/22
|
{
"pile_set_name": "DM Mathematics"
}
|
42?
2, 11, 41, 124121
What are the prime factors of 96194185?
5, 19238837
What are the prime factors of 58810569?
3, 19603523
List the prime factors of 339388128.
2, 3, 47, 25073
List the prime factors of 52493635.
5, 211, 49757
What are the prime factors of 637177?
17, 37, 1013
What are the prime factors of 57108297?
3, 19036099
List the prime factors of 59437114.
2, 11, 2701687
What are the prime factors of 120701937?
3, 40233979
List the prime factors of 27401316.
2, 3, 2283443
What are the prime factors of 100690475?
5, 149, 27031
What are the prime factors of 166180699?
1249, 133051
List the prime factors of 41564052.
2, 3, 127, 9091
List the prime factors of 36002199.
3, 23, 313, 1667
List the prime factors of 172483363.
13, 43, 97, 3181
What are the prime factors of 314349646?
2, 13, 97, 124643
List the prime factors of 3896128326.
2, 3, 649354721
What are the prime factors of 313217207?
313217207
What are the prime factors of 623157341?
623157341
List the prime factors of 358998296.
2, 41, 181, 6047
List the prime factors of 46264916.
2, 11566229
List the prime factors of 1922244232.
2, 149, 1612621
What are the prime factors of 37233618?
2, 3, 37, 367, 457
What are the prime factors of 127331671?
1061, 120011
List the prime factors of 35063322.
2, 3, 7, 19, 6277
List the prime factors of 166783994.
2, 13, 23, 278903
What are the prime factors of 371818012?
2, 41, 631, 3593
What are the prime factors of 65364707?
65364707
List the prime factors of 186710173.
13, 67, 214363
What are the prime factors of 477547899?
3, 269, 591757
What are the prime factors of 820222813?
3767, 217739
List the prime factors of 3610273750.
2, 5, 653, 4423
List the prime factors of 31805597.
31, 967, 1061
List the prime factors of 3381867188.
2, 7, 17, 7104763
List the prime factors of 111962548.
2, 1093, 25609
List the prime factors of 23215428.
2, 3, 29, 37, 601
What are the prime factors of 39416324?
2, 9854081
What are the prime factors of 508719526?
2, 7, 17, 313, 6829
List the prime factors of 58036805.
5, 31, 233, 1607
List the prime factors of 374709372.
2, 3, 149, 209569
What are the prime factors of 59687819?
6037, 9887
What are the prime factors of 26590343?
13, 31, 65981
What are the prime factors of 57732040?
2, 5, 29, 157, 317
What are the prime factors of 291750492?
2, 3, 11, 23, 96097
What are the prime factors of 215947478?
2, 107973739
List the prime factors of 48778487.
97, 157, 3203
List the prime factors of 160282140.
2, 3, 5, 2671369
List the prime factors of 29452493.
7, 691, 6089
List the prime factors of 440349361.
113, 157, 24821
What are the prime factors of 575234919?
3, 7, 1163, 2617
What are the prime factors of 43535106?
2, 3, 331, 7307
What are the prime factors of 271739046?
2, 3, 233, 194377
List the prime factors of 146842826.
2, 13, 5647801
What are the prime factors of 75742773?
3, 25247591
List the prime factors of 56220993.
3, 23, 90533
What are the prime factors of 3723642747?
3, 11, 521, 6563
What are the prime factors of 3054841642?
2, 139, 10988639
What are the prime factors of 391609480?
2, 5, 37, 264601
List the prime factors of 9843779.
11, 601, 1489
List the prime factors of 46252718.
2, 23126359
List the prime factors of 362635681.
362635681
List the prime factors of 76169129.
17, 263561
What are the prime factors of 940394559?
3, 13, 17, 89, 15937
List the prime factors of 222968090.
2, 5, 17, 1311577
List the prime factors of 54195488.
2, 197, 8597
What are the prime factors of 3266547351?
3, 26813, 40609
What are the prime factors of 679181036?
2, 169795259
What are the prime factors of 110545773?
3, 13, 337, 647
List the prime factors of 2590700141.
19, 136352639
List the prime factors of 5003430.
2, 3, 5, 166781
List the prime factors of 92070631.
4703, 19577
List the prime factors of 219989226.
2, 3, 36664871
List the prime factors of 48089799.
3, 5343311
List the prime factors of 41033503.
7, 5861929
List the prime factors of 106044900.
2, 3, 5, 13, 27191
What are the prime factors of 471797096?
2, 53, 1112729
What are the prime factors of 325975188?
2, 3, 7, 11, 587, 601
What are the prime factors of 3608238513?
3, 11, 903641
List the prime factors of 115537027.
23, 73, 68813
List the prime factors of 64570214.
2, 229, 140983
What are the prime factors of 2441670736?
2, 1019, 149759
List the prime factors of 1185135038.
2, 1013, 584963
List the prime factors of 34070192.
2, 13, 19, 37, 233
List the prime factors of 198102763.
43, 1223, 3767
List the prime factors of 699026224.
2, 13, 3360703
List the prime factors of 1392599388.
2, 3, 8803, 13183
What are the prime factors of 329229355?
5, 7, 13, 197, 3673
List the prime factors of 6799902.
2, 3, 1133317
What are the prime factors of 75434546?
2, 11, 311713
What are the prime factors of 1463291814?
2, 3, 243881969
What are the prime factors of 45436959?
3, 2017, 2503
What are the prime factors of 1705028491?
7517, 226823
What are the prime factors of 1970523196?
2, 492630799
List the prime factors of 89944745.
5, 11, 148669
What are the prime factors of 82445645?
5, 521, 31649
List the prime factors of 52051177.
421, 123637
What are the prime factors of 36748035?
3, 5, 79, 10337
List the prime factors of 148083417.
3, 47, 61, 1913
What are the prime factors of 25261919?
25261919
What are the prime factors of 2996026638?
2, 3, 11, 45394343
List the prime factors of 2090132966.
2, 17, 3616147
What are the prime factors of 7641002?
2, 19, 233, 863
List the prime factors of 56495079.
3, 227, 27653
List the prime factors of 362779026.
2, 3, 60463171
List the prime factors of 280258562.
2, 140129281
What are the prime factors of 21492352?
2, 7, 17, 83
What are the prime factors of 6687787315?
5, 11, 4673, 26021
What are the prime factors of 16069035?
3, 5, 1071269
What are the prime factors of 5962962370?
2, 5, 596296237
What are the prime factors of 81418188?
2, 3, 6784849
What are the prime factors of 1051328152?
2, 7, 18773717
List the prime factors of 4285306039.
7, 103, 5943559
List the prime factors of 358760847.
3, 119586949
List the prime factors of 277168440.
2, 3, 5, 2309737
What are the prime factors of 111801612?
2, 3, 13, 29, 1901
What are the prime factors of 35886829?
11, 3262439
What are the prime factors of 206918307?
3, 53, 157, 307
What are the prime factors of 1093610538?
2, 3, 2243, 9029
List the prime factors of 18882643.
13, 1452511
What are the prime factors of 100399314?
2, 3, 17, 984307
What are the prime factors of 1645575119?
1645575119
What are the prime factors of 1690522758?
2, 3, 19, 73, 22571
List the prime factors of 958577304.
2, 3, 131, 509, 599
What are the prime factors of 11385368?
2, 23, 43, 1439
List the prime factors of 31920139.
31920139
List the prime factors of 2619539478.
2, 3, 409, 355819
List the prime factors of 6122214999.
3, 43, 15819677
What are the prime factors of 43641083?
727, 60029
What are the prime factors of 350113025?
5, 293, 47797
What are the prime factors of 3207119914?
2, 1603559957
List the prime factors of 102402704.
2, 19, 17729
List the prime factors of 5271184.
2, 73, 4513
What are the prime factors of 138775125?
3, 5, 370067
What are the prime factors of 1652188453?
19, 181, 480427
List the prime factors of 108789153.
3, 11, 3296641
What are the prime factors of 255370375?
5, 13, 29, 5419
What are the prime factors of 111045006?
2, 3, 19, 43, 839
List the prime factors of 1310984924.
2, 193, 1698167
What are the prime factors of 130792486?
2, 11, 457, 13009
What are the prime factors of 101037411?
3, 61, 184039
What are the prime factors of 233810956?
2, 359, 162821
What are the prime factors of 2883245994?
2, 3, 160180333
List the prime factors of 24614172.
2, 3, 11, 20719
What are the prime factors of 6863013646?
2, 97, 35376359
What are the prime factors of 30825528?
2, 3, 167, 7691
List the prime factors of 2231162753.
2231162753
List the prime factors of 69031417.
7, 13, 337, 2251
What are the prime factors of 97102464?
2, 3, 19, 13309
What are the prime factors of 37416156?
2, 3, 3118013
What are the prime factors of 280902776?
2, 7, 11, 59, 131
What are the prime factors of 312297324?
2, 3, 26024777
What are the prime factors of 7037595?
3, 5, 43, 3637
List the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
many grams are there in 138869.3 tonnes?
138869300000
How many micrometers are there in eleven quarters of a centimeter?
27500
How many milligrams are there in one quarter of a gram?
250
What is 6/5 of a kilogram in grams?
1200
Convert 30408.35 days to milliseconds.
2627281440000
What is 7451.97 years in centuries?
74.5197
How many months are there in fourty-two fifths of a century?
10080
How many kilometers are there in 921.1534mm?
0.0009211534
Convert 74.58399 micrometers to meters.
0.00007458399
What is 3/10 of a litre in millilitres?
300
How many tonnes are there in 70221.94 micrograms?
0.00000007022194
How many centimeters are there in 469.1765m?
46917.65
How many millilitres are there in 95.90328 litres?
95903.28
Convert 946.939l to millilitres.
946939
How many millimeters are there in 5058.157nm?
0.005058157
What is 4159.408s in milliseconds?
4159408
What is 1/4 of a litre in millilitres?
250
What is 806731.11 seconds in hours?
224.091975
How many minutes are there in twenty-one fifths of a day?
6048
How many milliseconds are there in 9.435511ns?
0.000009435511
How many millilitres are there in 46/5 of a litre?
9200
How many years are there in 11/2 of a millennium?
5500
Convert 56.80209 millimeters to kilometers.
0.00005680209
How many grams are there in twenty-nine halves of a kilogram?
14500
What is seventy-three fifths of a litre in millilitres?
14600
How many months are there in 7/15 of a millennium?
5600
How many milligrams are there in seventy-seven fifths of a gram?
15400
What is 1/4 of a litre in millilitres?
250
What is 1/10 of a day in minutes?
144
What is 3/40 of a meter in millimeters?
75
How many minutes are there in 6.690084 days?
9633.72096
What is thirteen eighths of a millennium in months?
19500
How many months are there in 8/3 of a century?
3200
What is 407969.7 kilograms in grams?
407969700
How many weeks are there in 1089.0054 minutes?
0.10803625
How many months are there in 5/4 of a millennium?
15000
What is 0.8822066ml in litres?
0.0008822066
How many millilitres are there in 6.591183 litres?
6591.183
How many weeks are there in 43562.421ns?
0.0000000000720278125
How many nanograms are there in 27/4 of a microgram?
6750
How many meters are there in eleven halves of a kilometer?
5500
Convert 3.439975 decades to millennia.
0.03439975
What is 0.7403193 millennia in centuries?
7.403193
How many nanograms are there in seven eighths of a microgram?
875
How many months are there in twenty-one quarters of a millennium?
63000
Convert 4.915346 decades to millennia.
0.04915346
What is fifty-one halves of a litre in millilitres?
25500
How many seconds are there in three fifths of a minute?
36
Convert 4312.895 millennia to months.
51754740
What is seven thirds of a minute in seconds?
140
Convert 9249.247um to centimeters.
0.9249247
What is 1/24 of a decade in months?
5
How many months are there in 7/8 of a millennium?
10500
How many grams are there in seventy-nine halves of a kilogram?
39500
What is 21/2 of a meter in centimeters?
1050
How many micrometers are there in 21/2 of a millimeter?
10500
Convert 8.81119 litres to millilitres.
8811.19
What is 4.210657um in meters?
0.000004210657
What is three eighths of a millisecond in microseconds?
375
What is 11/4 of a kilometer in meters?
2750
How many minutes are there in six fifths of a week?
12096
What is 65.19283ms in nanoseconds?
65192830
What is 25/4 of a litre in millilitres?
6250
How many months are there in 1/6 of a decade?
20
What is 21/2 of a microsecond in nanoseconds?
10500
What is three eighths of a meter in millimeters?
375
What is 11/7 of a week in hours?
264
Convert 0.422655 centuries to decades.
4.22655
What is one quarter of a centimeter in micrometers?
2500
How many kilograms are there in 665131.8mg?
0.6651318
What is 760270.9 millennia in centuries?
7602709
How many milliseconds are there in 7/16 of a minute?
26250
How many milligrams are there in 29/2 of a gram?
14500
What is 3/5 of a kilometer in centimeters?
60000
What is 3/5 of a gram in milligrams?
600
What is 14312.4 decades in months?
1717488
Convert 44728.86 milligrams to nanograms.
44728860000
What is 706.4979 litres in millilitres?
706497.9
How many centuries are there in seven halves of a millennium?
35
How many millilitres are there in 8671.111l?
8671111
How many decades are there in twenty-five quarters of a millennium?
625
How many centuries are there in three tenths of a millennium?
3
Convert 1057.945ng to kilograms.
0.000000001057945
How many nanometers are there in 340.3652m?
340365200000
What is 4521.2355 seconds in hours?
1.25589875
How many meters are there in 7/8 of a kilometer?
875
How many centimeters are there in thirty-one halves of a meter?
1550
What is 11774.42 milliseconds in microseconds?
11774420
What is thirty-one fifths of a millennium in decades?
620
How many years are there in 11/4 of a millennium?
2750
How many days are there in 12/7 of a week?
12
What is twenty-nine halves of a millennium in decades?
1450
How many grams are there in 0.3714962 nanograms?
0.0000000003714962
What is 0.3212712cm in kilometers?
0.000003212712
How many years are there in three fifths of a decade?
6
What is 28.720104 months in decades?
0.2393342
What is 19/7 of a week in minutes?
27360
Convert 995089.8 centuries to millennia.
99508.98
How many milligrams are there in 3/40 of a gram?
75
How many seconds are there in 7/18 of a day?
33600
How many tonnes are there in 69.07718g?
0.00006907718
Convert 539.8425 months to centuries.
0.44986875
How many years are there in thirty-four fifths of a millennium?
6800
What is 89040.52ug in kilograms?
0.00008904052
What is 19/4 of a year in months?
57
How many months are there in six fifths of a century?
1440
Convert 457717.4mg to nanograms.
457717400000
What is 5/4 of a millennium in decades?
125
What is 5.076457l in millilitres?
5076.457
What is 433.9424 centuries in decades?
4339.424
What is fourty-five quarters of a decade in months?
1350
Convert 4001.928 centuries to decades.
40019.28
How many nanograms are there in 1/5 of a microgram?
200
What is 3/40 of a gram in micrograms?
75000
Convert 2367.0498 months to decades.
19.725415
How many milliseconds are there in 1.067324 hours?
3842366.4
What is 3.81724 millilitres in litres?
0.00381724
How many millilitres are there in 56474.23l?
56474230
Convert 7.42968mm to kilometers.
0.00000742968
What is 13/4 of a kilogram in grams?
3250
Convert 577681.2s to minutes.
9628.02
What is 1/4 of a millennium in years?
250
Convert 9878.283km to centimeters.
987828300
Convert 40.67139 months to years.
3.3892825
How many micrograms are there in 32.95217kg?
32952170000
How many micrometers are there in 6/25 of a millimeter?
240
What is 11.52614 millennia in decades?
1152.614
How many grams are there in three fifths of a kilogram?
600
What is fifty-nine thirds of a hour in minutes?
1180
How many millilitres are there in 949.5916 litres?
949591.6
Convert 2015.014m to kilometers.
2.015014
How many meters are there in 458.2207km?
458220.7
What is 3.176262 millimeters in micrometers?
3176.262
What is 0.1357846 nanograms in micrograms?
0.0001357846
What is 11/4 of a microgram in nanograms?
2750
How many years are there in three fifths of a millennium?
600
How many days are there in 103000.491ms?
0.0011921353125
Convert 7676.751cm to millimeters.
76767.51
What is one fifth of a millennium in decades?
20
What is 17/2 of a litre in millilitres?
8500
What is 1520.524 nanometers in millimeters?
0.001520524
How many months are there in 372006.6 decades?
44640792
What is 305947.6 kilometers in meters?
305947600
What is 3/8 of a millennium in months?
4500
What is 270.1526kg in grams?
270152.6
What is 18544.9 grams in micrograms?
18544900000
What is 3/10 of a day in seconds?
25920
Convert 99.1417 micrometers to millimeters.
0.0991417
Convert 38.83081 millilitres to litres.
0.03883081
What is 9.705696l in millilitres?
9705.696
What is one quarter of a milligram in micrograms?
250
How many minutes are there in 20/9 of a day?
3200
Convert 2.415462 litres to millilitres.
2415.462
How many millilitres are there in 8/25 of a litre?
320
Convert 0.85734 millilitres to litres.
0.00085734
How many nanometers are there in 3/5 of a micrometer?
600
Ho
|
{
"pile_set_name": "DM Mathematics"
}
|
26
Calculate the greatest common factor of 45 and 60.
15
What is the highest common factor of 77 and 133?
7
What is the highest common factor of 66 and 231?
33
Calculate the greatest common factor of 233 and 12349.
233
What is the highest common factor of 4 and 928?
4
What is the greatest common divisor of 4963 and 14?
7
What is the highest common divisor of 406 and 112?
14
Calculate the highest common factor of 144 and 126.
18
Calculate the greatest common divisor of 384 and 24.
24
Calculate the highest common divisor of 3890 and 10.
10
Calculate the greatest common divisor of 3277 and 29.
29
Calculate the highest common factor of 4699 and 148.
37
What is the highest common divisor of 10 and 130?
10
Calculate the highest common divisor of 2013 and 549.
183
Calculate the greatest common divisor of 824 and 152.
8
Calculate the highest common divisor of 150 and 20.
10
Calculate the greatest common divisor of 462 and 4004.
154
What is the highest common factor of 820 and 1000?
20
Calculate the greatest common factor of 165 and 34815.
165
What is the highest common divisor of 52 and 7852?
52
What is the greatest common factor of 135 and 315?
45
Calculate the greatest common factor of 212 and 53.
53
Calculate the greatest common divisor of 62 and 62.
62
What is the highest common divisor of 15 and 9?
3
What is the greatest common divisor of 27 and 135?
27
What is the greatest common divisor of 1 and 3?
1
Calculate the greatest common factor of 252 and 9744.
84
What is the greatest common factor of 240 and 752?
16
What is the greatest common divisor of 432 and 16?
16
Calculate the greatest common factor of 4518 and 9.
9
What is the greatest common factor of 14 and 130?
2
Calculate the highest common divisor of 81 and 1107.
27
Calculate the greatest common divisor of 1152 and 6.
6
What is the greatest common factor of 450 and 100?
50
What is the greatest common divisor of 6 and 354?
6
Calculate the highest common divisor of 224 and 64.
32
What is the highest common factor of 79 and 1343?
79
Calculate the highest common divisor of 92 and 368.
92
Calculate the greatest common divisor of 627 and 957.
33
What is the greatest common divisor of 5 and 23915?
5
Calculate the highest common factor of 105 and 20685.
105
Calculate the highest common factor of 456 and 285.
57
What is the greatest common factor of 104 and 8788?
52
What is the greatest common divisor of 8295 and 210?
105
Calculate the greatest common factor of 204 and 24.
12
Calculate the highest common divisor of 2025 and 25.
25
What is the highest common factor of 31 and 1922?
31
Calculate the highest common divisor of 48 and 1616.
16
What is the greatest common factor of 319 and 11?
11
What is the greatest common divisor of 627 and 114?
57
What is the greatest common divisor of 24 and 2328?
24
What is the greatest common divisor of 39 and 8346?
39
Calculate the greatest common factor of 184 and 2898.
46
What is the greatest common divisor of 40 and 140?
20
Calculate the greatest common factor of 369 and 153.
9
Calculate the greatest common factor of 13220 and 60.
20
Calculate the highest common factor of 4025 and 75.
25
Calculate the highest common divisor of 21 and 21.
21
What is the highest common factor of 2704 and 78?
26
What is the greatest common factor of 275 and 1595?
55
What is the greatest common factor of 55 and 31790?
55
Calculate the greatest common divisor of 7325 and 25.
25
What is the highest common divisor of 252 and 224?
28
What is the highest common divisor of 1 and 2?
1
Calculate the greatest common factor of 94 and 3478.
94
What is the highest common factor of 180 and 180?
180
What is the greatest common factor of 37 and 592?
37
What is the greatest common factor of 79 and 869?
79
Calculate the highest common divisor of 480 and 2720.
160
What is the highest common divisor of 6 and 726?
6
Calculate the highest common factor of 1258 and 2074.
34
Calculate the highest common factor of 816 and 48.
48
What is the greatest common factor of 32 and 668?
4
What is the greatest common factor of 6063 and 1269?
141
What is the highest common divisor of 36 and 576?
36
What is the highest common divisor of 6320 and 32?
16
What is the greatest common divisor of 12 and 972?
12
Calculate the highest common factor of 1917 and 9.
9
What is the greatest common divisor of 51 and 3927?
51
What is the highest common factor of 10508 and 444?
148
Calculate the greatest common factor of 78 and 234.
78
What is the greatest common divisor of 4797 and 351?
117
Calculate the greatest common factor of 1632 and 34.
34
Calculate the highest common divisor of 1875 and 480.
15
Calculate the greatest common divisor of 285 and 57.
57
What is the greatest common factor of 28 and 154?
14
What is the highest common divisor of 88 and 2552?
88
What is the highest common divisor of 704 and 1804?
44
Calculate the highest common divisor of 3770 and 10.
10
What is the highest common divisor of 644 and 21?
7
Calculate the highest common divisor of 140 and 19180.
140
What is the highest common factor of 297 and 351?
27
Calculate the greatest common divisor of 3608 and 4.
4
What is the greatest common divisor of 968 and 3256?
88
What is the greatest common divisor of 54 and 216?
54
Calculate the greatest common factor of 915 and 45.
15
Calculate the greatest common factor of 4185 and 27.
27
What is the greatest common factor of 36 and 72?
36
What is the highest common factor of 600 and 120?
120
What is the greatest common divisor of 130 and 845?
65
What is the highest common divisor of 50 and 80?
10
What is the highest common factor of 73 and 3577?
73
Calculate the highest common factor of 430 and 90.
10
Calculate the greatest common factor of 26 and 325.
13
What is the greatest common factor of 225 and 570?
15
What is the highest common factor of 9 and 522?
9
What is the highest common divisor of 2394 and 14?
14
What is the highest common divisor of 20 and 1220?
20
Calculate the greatest common divisor of 2208 and 240.
48
What is the highest common factor of 580 and 87?
29
What is the highest common factor of 970 and 10?
10
What is the greatest common factor of 11 and 1001?
11
What is the greatest common divisor of 2 and 1174?
2
Calculate the highest common factor of 9847 and 43.
43
Calculate the highest common divisor of 2 and 16.
2
Calculate the highest common factor of 51 and 68.
17
What is the greatest common factor of 76 and 1520?
76
Calculate the highest common divisor of 760 and 304.
152
What is the greatest common factor of 150 and 975?
75
Calculate the greatest common divisor of 75 and 1075.
25
Calculate the greatest common factor of 1950 and 156.
78
What is the greatest common factor of 370 and 962?
74
What is the highest common factor of 32685 and 15?
15
What is the greatest common factor of 55 and 231?
11
Calculate the highest common divisor of 52 and 13364.
52
Calculate the highest common factor of 390 and 3354.
78
Calculate the greatest common divisor of 1625 and 13.
13
What is the greatest common divisor of 10 and 115?
5
Calculate the greatest common factor of 115 and 135.
5
What is the greatest common factor of 25 and 20?
5
Calculate the highest common divisor of 902 and 110.
22
What is the greatest common factor of 119 and 1496?
17
Calculate the highest common factor of 5439 and 629.
37
What is the highest common factor of 14 and 2114?
14
Calculate the greatest common divisor of 63 and 6.
3
Calculate the highest common factor of 1192 and 32.
8
What is the greatest common divisor of 47 and 329?
47
Calculate the highest common divisor of 820 and 20.
20
What is the highest common factor of 44 and 11?
11
What is the greatest common divisor of 5201 and 14?
7
Calculate the highest common divisor of 3745 and 214.
107
Calculate the greatest common divisor of 125 and 2000.
125
Calculate the highest common divisor of 1305 and 87.
87
Calculate the greatest common divisor of 1118 and 516.
86
Calculate the highest common divisor of 66 and 20526.
66
Calculate the greatest common divisor of 28 and 581.
7
Calculate the greatest common divisor of 1184 and 666.
74
What is the highest common factor of 2478 and 84?
42
What is the greatest common factor of 128 and 1328?
16
Calculate the greatest common factor of 817 and
|
{
"pile_set_name": "DM Mathematics"
}
|
9 is divided by r.
35
Let h = -627 + 688. What is the remainder when h is divided by 21?
19
Suppose 1 = -p, 5*f = -4*p - p + 470. What is the remainder when f is divided by 49?
46
Suppose -2*y + 536 + 136 = 0. Calculate the remainder when y is divided by 26.
24
Let p(m) = -29*m**2 + 127*m - 3. What is the remainder when p(3) is divided by 12?
9
Let y(t) = 149*t - 495. What is the remainder when y(4) is divided by 18?
11
Suppose 75*s = 77*s - 70. Let p(j) = -19*j**3 + j**2 + j. What is the remainder when p(-1) is divided by s/30 - 1 - (-236)/24?
9
Calculate the remainder when 344 is divided by (-1408)/(-96) + (-1)/(-3).
14
Suppose -3*l + 5 = 4*q + q, 3*l - q - 17 = 0. Suppose d = -l*s - 2*d + 61, 3*d + 27 = 3*s. Calculate the remainder when 85 is divided by s.
8
Let i be 351/(-2) - (-8)/(-16). Let s be ((-1)/2)/(6/24). What is the remainder when (i/(-33))/(s/(-9)) is divided by 13?
11
Suppose 5*d = -p - 9, 4*p = -6*d + 2*d + 12. Calculate the remainder when 23 is divided by p.
5
What is the remainder when 223 is divided by 0 + 4 + 336/((-156)/(-13))?
31
Let y = -84 - -131. Calculate the remainder when 93 is divided by y.
46
Suppose 12*b - 128 = 9*b - 5*t, -3*t = 5*b - 192. What is the remainder when 1618 is divided by b?
34
Suppose -20*s + 130 = -15*s. What is the remainder when (-37)/2*s/(-13) is divided by 10?
7
Let l(m) = -m - 1. Let u be l(-11). Let n = -18 - -65. What is the remainder when n is divided by (12/150*u)/(2/40)?
15
Let k = -133 - -411. Calculate the remainder when k is divided by 7.
5
What is the remainder when 1/(-3)*(10 + -3 + -61) is divided by 13?
5
Suppose -y = -5*i + 6, -4*y + 2*i - 7*i = -26. Suppose 3*u = -c - 49, 0 = 6*c - 2*c + y. Let d = u + 35. Calculate the remainder when 37 is divided by d.
18
Let y = 74 + -14. What is the remainder when 539 is divided by y?
59
Suppose 11*s + 82 = 10*s. What is the remainder when 3/(-6)*-10 - s is divided by 13?
9
Suppose -5*q - 8 = -q. Let i(u) = 5*u**3 + u**2 + u + 3. Let k be i(q). Calculate the remainder when 12 is divided by (28/k)/(1/(-10)).
4
Let v be (-6)/6 - (-1 - 3341). What is the remainder when 59 is divided by 2/(-17) - v/(-221)?
14
What is the remainder when 64/(-20) + 3 + (-2868)/(-15) is divided by 64?
63
Suppose 3*x + x = 712. Let z = -734 + 779. What is the remainder when x is divided by z?
43
Suppose 0 = -12*z + 14 + 22. Suppose 5*x - 43 = -m, -z*m + 4*x + 72 = -m. Suppose 0 = -w - 4*w + 105. What is the remainder when m is divided by w?
17
Let a(j) = 3*j + 2. Let k be a(3). Suppose 4*g = -k + 3. What is the remainder when 29 + 0 + (g - 1) is divided by 7?
5
Let v(n) = n**2 - 20*n + 11. Let t be v(24). Let h = t - 93. What is the remainder when 53 is divided by h?
11
Let b(y) = y + 9. Suppose 2*a - 3*g - 83 = 0, 3*a + 4*g - 5*g - 128 = 0. Let s = a + -22. Calculate the remainder when s is divided by b(-3).
3
Let j(l) = -5*l**3 - l**2 - 2*l. What is the remainder when 64 is divided by j(-2)?
24
Let z be 2*(1298/55 + (-4)/(-10)). Suppose -25*f + 22*f = -z. Calculate the remainder when f is divided by 8.
0
Calculate the remainder when 60 is divided by ((-16)/(-24))/(6/81 - 0).
6
Let q = -765 + 833. What is the remainder when 747 is divided by q?
67
Let g(h) = 8*h**2 + 7*h - 3. Let i be g(-6). Let j = -26 - -39. What is the remainder when 10/25 + i/5 is divided by j?
10
Let s = 37 + -320. Let h = -194 - s. What is the remainder when h is divided by 13?
11
Let h = -453 - -467. Calculate the remainder when 135 is divided by h.
9
Let y = 255 - 4890. Calculate the remainder when 2/(-9) + y/(-81) is divided by 29.
28
Let p = -172 - -114. Let a = p + 68. Calculate the remainder when 26 is divided by a.
6
What is the remainder when 101 is divided by (-1 - -29) + 1 + -2?
20
Suppose -2*p + 88 = -3*j, -j - 84 = -8*p + 6*p. Calculate the remainder when 77 is divided by p.
36
Let p(u) = -820*u + 16. Let o be p(-6). What is the remainder when (-4)/10 - o/(-40) is divided by 25?
23
Let p = -266 + 398. What is the remainder when p is divided by 36?
24
Let o(i) = 7*i**2 - 41*i + 16. Calculate the remainder when o(6) is divided by 22.
0
Let y(t) = -t**3 + 6*t**2 + 5*t. Calculate the remainder when y(-2) is divided by 8.
6
Let l(d) = -5*d - 9. What is the remainder when 190 is divided by l(-5)?
14
Let s = 985 - 961. Calculate the remainder when 36 is divided by s.
12
Let j(d) = d**2 - 9*d - 19. Suppose g - 48 = -3*g. Suppose -4*r + 0*z = 5*z - 34, 3*z = -2*r + 18. What is the remainder when j(g) is divided by r?
5
Let m = -98 - -235. Calculate the remainder when m is divided by 20.
17
Calculate the remainder when 237 is divided by -10 + 12 + -10 + 75.
36
Let b be 4/(-10)*(-29 + -6). Calculate the remainder when (18/12)/(6/88) is divided by -4 + b - (2 + 2).
4
Suppose 5*b = 4*y - 47, -2*y + 4*y = 5*b + 21. Let l(t) = 55*t - 4. What is the remainder when l(1) is divided by y?
12
Suppose -3*z + 6 = 2*s + 2, 5*s = 3*z + 52. Suppose -2*x + 10 = 2*w, -2*x + 5*x - 11 = -w. Calculate the remainder when s is divided by x.
2
Let x be -2*(-28)/8*1. Let b = 7 - x. Suppose 5*f - 36 - 29 = b. What is the remainder when f is divided by 8?
5
Suppose -5*h + 0 = 4*i + 8, -h = -2*i - 4. Suppose -5*l + 588 - 38 = h. Suppose 0 = -2*c - 3*c + l. Calculate the remainder when 86 is divided by c.
20
Calculate the remainder when 4/(4/115) - 3 is divided by 13.
8
Let k = 33 - 14. Let g(w) = 2*w**2 - 10*w - 23. Let c be g(-2). Suppose x = 5*y - c, 2*y + 1 = -2*x + 15. What is the remainder when k is divided by x?
4
Suppose -4*x - 134 = -2*x. Let w be (-6)/(-2) - (x + -10). Suppose -3*m - 102 = -5*n, n - 5*n + 2*m = -w. What is the remainder when 34 is divided by n?
16
Suppose n - 3*n + 98 = 0. Let t(j) = -j**3 + 41*j**2 + 42*j + 143. Calculate the remainder when t(42) is divided by n.
45
Let n(j) = -21*j + 1. Let t be n(-2). Suppose t = 4*m - 33. Calculate the remainder when m is divided by 7.
5
Let p be 6/4*70/21. Suppose -245 - 220 = -p*i. Calculate the remainder when i is divided by 32.
29
Let m(t) = -t**3 + 4*t**2 + 3*t + 2. Suppose 0 = 3*y, 4*y = -5*s - y + 95. Let x = 22 - s. Calculate the remainder when 57 is divided by m(x).
17
Calculate the remainder when 136 is divided by (-20)/(-45) + (-3864)/(-54).
64
What is the remainder when 71 is divided by ((-42)/(-9) - 4)*(6 - 0)?
3
Suppose 3*i = 5*i - 276. Let c be (-6)/(-9)*i/4. Suppose 4*v - 41 - c = 0. Calculate the remainder when 44 is divided by v.
12
Suppose -5*y + p + 39 = 12, 3 = p. Let g = -23 - -26. Calculate the remainder when y is divided by g.
0
Let l(r) = r**2 + 6*r. Let k be l(-4). Let c = k + 15. What is the remainder when 33 is divided by c?
5
Let y = -57 - -61. Suppose -8 = -y*m + f, -m - 8 = 3*m - 5*f. Calculate the remainder when 13 is divided by m.
1
Let n(i) = 39*i + 3050. Let x = -62 - -109. What is the remainder when x is divided by n(-78)?
7
Suppose -4*o - 51 + 95 = 0. Suppose t + 26 = r, -5*r + 50 = -4*r + 5*t. Calculate the remainder when r is divided by o.
8
Let i(r) = 19*r**3 + 2*r**2 - 1. What is the remainder when 3*(9170/462 - ((-4)/(-11))/2) is divided by i(1)?
19
Suppose 0 = -2*s - 2*s - 4*m + 72, m = 2*s - 27. Suppose -6 = -4*u + 6. What is the remainder when s is divided by u?
0
Let y(p) = -20*p - 1. Calculate the remainder when y(-6) is divided by -4*((5 - 7) + -4).
23
Let r be 10/20 + (-57)/(-2). Let h = 42 - r. Suppose b - 2*c = 42, -2*c = 2 + 2. What is the remainder when b is divided by h?
12
Let j = 2383 + -2334. Let n = 10 - -1. What is the remainder when j is divided by n?
5
Suppose 2*d = 3*d + 6. Let l(n) = -n**2 - 6*n + 8. Let b = 17 + 4. Calculate the remainder when b is divided by l(d).
5
Let g = 12 - 9. Suppose -g*j + 36 = -12. Suppose 13*o + 6 = j*o. What is the remainder when 6 is divided by o?
0
Let f = -24 + 23. Let y(j) = j**3 - 3*j**2 - 3*j. What is the remainder when 204/36 + f/(-3) is divided by y(4)?
2
Let y(f) = -15*f**2 - 342*f + 126. Suppose -4*h + 9*h = 1415. Calculate the remainder when h is divided by y(-23).
55
Suppose -28*t + 23*t + 205 = 0. Calculate the remainder when 161 is divided by t.
38
Suppose -8*r + 53 = -43. What is the remainder when 106 is divided by r?
10
Let g(c) = c**3 + 4*c**2 - 15*c - 15. What is the remainder when g(5) is divided by 34?
33
Suppose 41 + 116 = o. Let w = o
|
{
"pile_set_name": "DM Mathematics"
}
|
2?
-2
Let g(z) = 2*z - 8. Let s be g(6). Let k(f) = -3*f + 2 + 0*f + s*f. Let o be k(-2). Which is smaller: -1/5 or o?
-1/5
Suppose -5*j + 29 = 2*y - 0*j, 0 = -4*y - 3*j + 79. Which is smaller: 23 or y?
y
Let r = -3 + 2.94. Let x = r + -0.04. Is x less than or equal to -1/4?
False
Let f = 7 - 9. Let r be ((-2)/4)/((-1)/f). Is r at least as big as -1?
True
Let g be (2/(-3))/(224/(-24)). Is 0 equal to g?
False
Let y be (-1)/4 + 4/16. Let a = 1.35 - 0.15. Let q = a + -1. Which is smaller: y or q?
y
Suppose 6*b = 8*b - 30. Let o = b - 15. Which is bigger: 1/17 or o?
1/17
Let m = -61073/78 - -783. Which is bigger: 0 or m?
m
Let g be (-16)/4*(-2)/(-8). Let j be g/(-1)*9/(-162). Is 1 at most j?
False
Let h = -28 + 44. Let z be 0 - 0 - (-6)/h. Is z equal to 0?
False
Suppose o = -0*o + 4. Suppose 0 = -2*a - a - o*f + 20, f + 18 = 5*a. Is 4 bigger than a?
False
Let d = -19/45 + 2/9. Are d and -8 unequal?
True
Suppose 5 + 3 = f. Suppose -5*p + 22 = -f. Does 6 = p?
True
Let m = -1.88 - 0.12. Suppose 0*k + 4*k = 5*l + 12, 5*k = -4*l + 15. Which is smaller: l or m?
m
Let m = 0.4 + -1.4. Which is smaller: m or 11?
m
Let o(k) = k**2 - 6*k. Let a(b) = -5*b**2 + 25*b. Let s(u) = -2*a(u) - 9*o(u). Let x be s(-3). Is -6 less than x?
True
Let h = 7191/8 + -900. Let f = h - -11/8. Let w = -1.4 - -1.9. Which is bigger: w or f?
w
Let b(s) = -s**2 + 7*s + 8. Let t be b(9). Let p be 40/12*(-18)/t. Which is bigger: 5 or p?
p
Let u be 1*(-106)/(-2)*-127. Let o = u + 40511/6. Let p = 43/2 - o. Are p and 1 unequal?
True
Let v be -2 + (-65265 + -2 - -3). Let b = 457605/7 + v. Let p = b + -106. Is 1 <= p?
False
Let j(z) = -z**2 - 10*z + 5. Let c be j(-11). Let h be (-2)/c + 2/30. Does -6/7 = h?
False
Let d = 2/69 + -11/115. Is d < -1?
False
Suppose a + 4*a + 25 = 0. Let c = -2 - a. Suppose -c = 5*m - o - 3*o, 1 = 5*m - 2*o. Which is smaller: m or 1/7?
1/7
Suppose -3*b = -15, 39 = 4*o - o + 3*b. Suppose -2*h = 5*v + o + 13, 4*v = 4*h. Is h not equal to -2?
True
Let m be (0 - (1 - 1))*1. Let v be 38/78 + (-21)/9 + 2. Which is smaller: m or v?
m
Let r be ((-22)/(-5))/(49/35). Which is smaller: r or 4?
r
Let k = -3.5 - -0.5. Let z = -11 + 15. Let s = z - 6. Which is greater: k or s?
s
Let q be (0 - 0) + (-9 - -4). Which is smaller: -7 or q?
-7
Let j = -4 - 2. Suppose 0 = u - 9*u - 56. Is u less than j?
True
Let y = -8 + 12. Let m be 14/6 + y/(-2). Let q(u) = -u**2 + 2*u. Let i be q(2). Which is greater: i or m?
m
Let d = 0.0366 + 2.0534. Let v = -0.09 + d. Let f(t) = 2*t**3 - 1. Let o be f(1). Which is bigger: o or v?
v
Suppose -4*g - 4*b + 16 = 0, 4 = g - 3*g + 4*b. Suppose -3*j + 6 = -2*s, -j + 21 = 5*s + 2. Suppose g*w = -s*w - 25. Is w at least -5?
True
Suppose -24 = 22*z - 2. Is -9/8 less than or equal to z?
True
Let m = 7.62 - 0.12. Let x = 7 - m. Does 1 = x?
False
Suppose -3*t = -0*t - 2*u + 4, 6 = 3*u. Let g = t + 1. Let k(b) = -6*b - 28. Let j be k(-5). Is j > g?
True
Let q(f) = -f. Let a be q(0). Let o = -33/20 + 799/460. Is o greater than a?
True
Let z(c) = -c**2 + 7*c - 7. Let h be 84/8*(-2)/(-3). Let i be z(h). Which is greater: i or -8?
i
Let l = -0.3 + -6.2. Let m = l - -6. Which is greater: 1 or m?
1
Let y = -1 - 4. Suppose -3*h = -4*h. Suppose 0 = -3*w - h*w - 12. Is w != y?
True
Let v = 1/27 - 31/108. Let n = 23 - 25. Is n smaller than v?
True
Let l = 5 + -2. Let a be (-9 + 6)/(2/6). Let i be (l/a)/((-3)/27). Is 3 < i?
False
Let r = 9 - 8.93. Let f = r + -0.07. Is -2/5 less than or equal to f?
True
Let h = -2/189 - 179/945. Let v be -2*(0 + 3)*-1. Suppose -2*m = -2*l + 8, 4 = -v*m + 3*m + l. Which is smaller: h or m?
h
Let o be (0 + 1/7)*(-28)/(-40). Which is smaller: o or 0?
0
Let l(a) = -a - 8. Let q be l(-8). Suppose q - 3 = 3*y. Let c be 2/(-10)*5/(-4). Which is greater: c or y?
c
Let u = 79 - 82. Is -3 < u?
False
Let l = 1.6 + -1.4. Is l bigger than -6?
True
Let u = 2 - 0. Let q(d) = -d**3 + 3*d**2 - 2*d. Let w be q(u). Suppose w = -2*f - 3*f. Are -1/4 and f nonequal?
True
Let w = -10 - -17. Let m be 2/w - (-38)/(-84). Suppose -3*v = v + 4. Which is bigger: m or v?
m
Suppose 25 = k - 0*k - 5*r, -3*r - 27 = -3*k. Suppose k*g - 2*g = 0. Suppose 6*i = 2*i + 20, -4*v + 5*i - 21 = g. Are v and 2 unequal?
True
Suppose 0 = 4*a + 5 - 5. Which is greater: 9/13 or a?
9/13
Let k = -9 + 2. Let n = k - -2. Which is greater: -7/2 or n?
-7/2
Let p = 22 - 61. Let f = 33.2 + p. Let s = f + 0.8. Which is greater: s or 0.1?
0.1
Let k be (4/(-12))/(2/(-42)). Let p = k + -3. Suppose -2*f + p = 5*m, 4*f - 4*m = -0*m + 8. Is f less than 1/2?
False
Let p = 7 - 16. Is -9 <= p?
True
Suppose 3*a + 4*u = -0*a + 15, -20 = -4*a + 4*u. Suppose -12 = 5*w - s, 3*s + s + 2 = -a*w. Is -3 smaller than w?
True
Let m be (3 + 10/(-6))/((-8)/(-6)). Let l be (-1)/5*(-2)/(-6). Which is greater: l or m?
m
Let d(x) = 3*x + 19. Let u be d(-6). Is -6/53 > u?
False
Let r(o) = 7*o + 1. Let y be r(1). Let l(p) = -p + 8. Let c be l(y). Is -4/3 smaller than c?
True
Let n = 32 - 32. Is -25 > n?
False
Let y = 115 + -80. Let a be (-7)/y*2/(-4). Is 0 equal to a?
False
Suppose -3*p = -2*l - 2 - 9, 0 = l + 1. Are p and 7/3 unequal?
True
Let n = -2/67 - 51/536. Which is bigger: n or -1?
n
Let a = -449/12 + 583/12. Let n = -23/2 + a. Which is greater: n or 1?
1
Let f(o) = o**2 + o + 2. Let b be f(0). Let k = -22 + 22. Suppose b*i - 10 + 2 = k. Which is bigger: 1 or i?
i
Suppose 0 = -3*f + 10 - 4. Suppose -4*s + 3 = -h + 1, 2*h + f*s = 6. Is 3 <= h?
False
Let b = 4 + 5. Suppose 15 + b = -2*n + 4*x, 0 = -2*n + 5*x - 29. Is n at most as big as -2?
True
Let w = -6/11 + 249/517. Is -1 less than w?
True
Suppose k = 6*k. Let c be k - 0/((-2)/(-1)). Let l = -0.08 - -3.08. Is l at most c?
False
Suppose -5*s + 32 + 3 = 0. Suppose -5 = -2*q - s. Which is bigger: q or 3/2?
3/2
Let h(n) = 3*n + 9. Let x(a) = -2*a - 4. Let o(w) = -3*h(w) - 5*x(w). Let c be o(6). Let z be (-2)/(-8) + 42/(-72). Is c at most as big as z?
True
Let y = 5629/25 - 225. Let b = 11/225 - y. Suppose 21 = 5*v + 4*n, 0 = -0*v + 5*v - 2*n + 3. Does v = b?
False
Suppose -37 + 5 = -4*s. Let w = 12 - s. Suppose -3*p - w = -p. Which is smaller: p or -3?
-3
Suppose s - 6*s + 2 = -3*p, -9 = -5*s - 4*p. Suppose -2*w - 17 = -s. Do -3 and w have the same value?
False
Let m = -6 + 14. Let l be (2/(-10))/(m/(-50)). Which is smaller: l or 0?
0
Suppose 3*b + 4*a - 6*a = -401, 402 = -3*b + 3*a. Let w = b + 663/5. Which is smaller: w or -1?
-1
Let k be 2 + (-3 + 1)*1. Suppose -5*p - 9*p = -17*p. Is p != k?
False
Let n(c) = c**3 - 8*c**2 + 2*c - 11. Let j = 7 + 1. Let o be n(j). Suppose o*z - 10 = -5*a, -z + 6 = -a + 4. Which is bigger: 1 or z?
z
Suppose 4*h = 3*h + 1. Let k = h - 2. Let s be (-1)/2*2/5. Is s less than k?
False
Let q = 2/57 - -143/798. Let h be (-3 - -1)/(-4 + -3). Let a = h + q. Which is greater: a or 0?
a
Let w = -0.6 + -6.4. Which is smaller: -2 or w?
w
Let q(j) = -3*j + 35. Let w be q(12). Let c be ((-1)/4)/(39/(-24)). Is w greater than or equal to c?
False
Let x be 5 - 3*(-8)/108*-15. Let l = -3 + 4. Which is greater: l or x?
x
Let i be 1/3*(-12)/11. Which is smaller: i or 2/13?
i
Let s = -0.6 - -1.2. Let c = 13.6 + -15. Let r = c - s. Is r at most as big as -2?
True
Suppose 3*w + 0*w = 0. Let b(j) = -j**2 - j + 6. Let m be b(w). Suppose 0 = -2*v - 0 - m. Is -3 smaller than v?
False
Suppose 2*o = 27 - 1. Is 13 >= o?
True
Let m be 20/10 - 1*-4. Let p = -28 + 48. Suppose 3*y + 2 = p. Is m at least as big as y?
True
Let f = 52 + -53. Do 0.1 and f have different values?
True
Let b = -1 + -11. Which is smaller: -2 or b?
b
Let x = 274/3 - 3044/33. Is -1 equal to x?
False
Let u be ((-65)/63)/(-1) - 1. Are 0 and u equal?
False
Let m be 4/(-5)*-5*1. Let y be ((-45)/(-36))/(2 - 14/8). Is m less than or equal to y?
True
Let i = -9319/3 + 3164. Let j = 57 - i. Is -1 at most as big as j?
True
Let q = 1 - 1. Does 1 = q?
False
Let b = -5 + 6. Suppose -2*l + b = -l. Do -2/9 and l have the same value?
False
Let k be (-1)/(-2)*(-8)/(-6). Let g = -19 - -22. Let s be g*(-2)/12*-2. Which is smaller: s or k?
k
Suppose 3*x = 5 - 11. Which is smaller: x or -3?
-3
Let u = 0.145 - -10.755. Let y = u - 11. Which is greater: -4 or y?
y
Let i be (1 - 0)/(2/(-12)). Let r = -67 + 61. Are r and i non-equal?
False
Let t be (-60)/130*2/6. Suppose -6*m + 9 = -3*m. Which is smaller
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate g*d(t) + 9*a(t).
-t - 1
Let l(m) = 9*m - 7. Let n(d) = 7*d - 6. Let x(q) = -3*l(q) + 4*n(q). Let v(i) be the second derivative of -i**3/6 + i**2/2 + 186*i. What is 6*v(k) + 2*x(k)?
-4*k
Let n(t) = 2657*t**2 + 3*t - 9. Let g(u) = 2657*u**2 + 4*u - 12. Calculate -3*g(q) + 4*n(q).
2657*q**2
Let x(r) = -1. Let k = -149 + 149. Suppose s = 4 - k. Let w(p) = -p**2 - 7. Calculate s*w(h) - 28*x(h).
-4*h**2
Let d(t) = -34*t - 738. Let v(i) = -8*i - 2. What is -d(z) + 4*v(z)?
2*z + 730
Let b(p) = -79*p**3 - 6*p**2 + 119*p. Let s(t) = -132*t**3 - 10*t**2 + 239*t + 1. Calculate 5*b(m) - 3*s(m).
m**3 - 122*m - 3
Let l(k) = 2*k**2. Suppose -21*s - 88 - 38 = 0. Let q be 4/2*s/3. Let r(f) = -2*f**2. Give q*r(o) - 5*l(o).
-2*o**2
Let c(m) = -68*m - 18. Let o(w) = -17*w - 4. Determine 6*c(a) - 23*o(a).
-17*a - 16
Let u(y) = -9*y + 480. Let k(d) = 11*d - 460. What is 2*k(h) + 3*u(h)?
-5*h + 520
Let d(g) = -g**2 - 2*g + 18. Let u(t) = 4*t - 19. Let b(v) = -5*d(v) - 4*u(v). Let a(o) = o**2 - o. Determine -6*a(i) + b(i).
-i**2 - 14
Let s(o) = -5*o + 8. Let p(h) = 2*h + 1. Let a be 10 - (3 + -9)*1/(-2). Let c(v) = 6*v + 5. Let g(t) = a*p(t) - 2*c(t). What is 8*g(l) + 3*s(l)?
l
Let q(l) = 557*l + 125. Let p(r) = -556*r - 105. Determine 6*p(f) + 5*q(f).
-551*f - 5
Let c(h) = 4059*h - 46. Let x(z) = 9. Give -c(g) - 5*x(g).
-4059*g + 1
Let d(b) = b**3 - 5*b**2 - 7*b + 4. Let t be d(6). Let n(m) = 4*m + 1. Let s(g) = 12*g + 4. Let c be 15/10 - 363/(-66). Calculate c*n(l) + t*s(l).
4*l - 1
Let v(o) = -6*o - 9. Let m = 493 - 484. Let c(g) = -16541 - m*g + 0*g + 16527. What is -5*c(u) + 8*v(u)?
-3*u - 2
Let s(f) = 939 + f - 939. Let p(j) = -4*j + 2. Let x(r) = -r**3 + 8*r**2 + 5. Let i be x(8). Give i*s(a) + p(a).
a + 2
Let y(d) = -11*d**2 + 84*d - 16. Let t(j) = -10*j**2 + 87*j - 12. Give 4*t(w) - 3*y(w).
-7*w**2 + 96*w
Let v(y) = -y**3 + y**2 + y + 45. Let s(a) = 2*a**3 - 2*a**2 - a - 44. Give 3*s(m) + 4*v(m).
2*m**3 - 2*m**2 + m + 48
Let g(h) = -3*h**3 + h**2 + h + 1. Let b(x) = 32*x**3 - 10*x**2 - 73*x - 12. Give 2*b(y) + 22*g(y).
-2*y**3 + 2*y**2 - 124*y - 2
Suppose -75 = 5*i - 85. Let w(s) = -2 + i*s + 1 + 0 - 4. Let l(o) = o - 2. Suppose -5*u + 35 = -j, -u - j + 5 = -8. Calculate u*l(a) - 3*w(a).
2*a - 1
Let i(d) = -d**3 + d**2 + 2. Let f(s) = -2*s**3 + 3*s**2 - 307*s + 5. Calculate -f(q) + 3*i(q).
-q**3 + 307*q + 1
Let z(t) = 122*t + 64. Let i(k) = 124*k + 39. Calculate -3*i(y) + 2*z(y).
-128*y + 11
Let u(p) = p**2 + 6. Suppose -3*q - 147 = -2*b, -2*b + 142 = -0*q - 2*q. Let g = b - 78. Let o = g + 11. Let h(v) = 1. Give o*u(n) + 6*h(n).
-n**2
Let q(i) = 5*i + 5. Let y = -37 - -58. Let g(d) = 5*d - y - 19 + 46. Determine 6*g(k) - 7*q(k).
-5*k + 1
Let m(d) = -15*d + 3. Suppose -16*c - 31*c - 2630 = -2536. Let g(q) = 7*q - 2. Calculate c*m(s) - 5*g(s).
-5*s + 4
Let w(d) = -3*d - 4. Suppose 0 = -16*c + 24*c - 32. Let x(n) = 4*n + 2. Let s(g) = c*w(g) + 5*x(g). Let r(k) = 7*k - 5. What is 4*r(b) - 3*s(b)?
4*b - 2
Let b(s) = -109*s**3 - 27*s - 10. Let i(o) = -4*o**3 - 3*o. Calculate -b(j) + 9*i(j).
73*j**3 + 10
Let a(k) = 260*k**3 - 10*k**2 - 10*k - 35. Let b(w) = 85*w**3 - 3*w**2 - 3*w - 11. What is 3*a(q) - 10*b(q)?
-70*q**3 + 5
Let z(q) = 5*q**2 + 1112*q + 3. Let i(p) = -14*p**2 - 3331*p - 8. What is 3*i(w) + 8*z(w)?
-2*w**2 - 1097*w
Let n(a) = -6*a - 44. Let d(g) = -g**2 + 8*g + 43. Calculate -2*d(r) - 3*n(r).
2*r**2 + 2*r + 46
Let y(b) = 9*b**2 - 5*b - 8. Let o(w) = -3 + 12 + 6*w + 17*w**2 + 23*w**2 - 50*w**2. Let t = -7 + 1. Give t*o(z) - 7*y(z).
-3*z**2 - z + 2
Let r(p) = 11784*p + 11. Let j(w) = -1965*w - 2. Determine 34*j(l) + 6*r(l).
3894*l - 2
Let r(o) = -13*o**2 + 205*o. Let b(h) = 10*h**2 - 204*h. Give 5*b(d) + 4*r(d).
-2*d**2 - 200*d
Let b(p) = -p**3 - 6*p**2 + 9*p + 18. Let v be b(-7). Let c(m) = 2 + v - 8 + 3. Let s(d) = d - 2. What is -5*c(r) - 2*s(r)?
-2*r - 1
Let h(w) = -11*w**2 + 4*w + 7. Let k(b) = 5*b**2 - 2*b - 3. Suppose -220 = 89*m - 144*m. Calculate m*h(q) + 9*k(q).
q**2 - 2*q + 1
Let g(m) = -601*m**3 + 1. Let y(a) = 3*a**3 + 1. Give -g(d) - 4*y(d).
589*d**3 - 5
Let q(l) = 3689*l**2 + 6*l - 50. Let b(y) = 1229*y**2 + 2*y - 19. What is 8*b(n) - 3*q(n)?
-1235*n**2 - 2*n - 2
Let w(b) = 43*b + 97. Let t(u) = 64*u + 146. What is 5*t(c) - 8*w(c)?
-24*c - 46
Let j(o) be the first derivative of o**2 + o + 1. Let b(v) = -6*v - 3. Suppose 2*w + 765 = 301. Let y = 229 + w. Calculate y*b(t) - 8*j(t).
2*t + 1
Let s(k) = -5*k - 3. Let n be s(-5). Let t(p) be the first derivative of p**4/4 + p**3/3 - 11*p**2/2 + 12*p + 186. Let v(i) = i - 1. Determine n*v(x) + 2*t(x).
2*x**3 + 2*x**2 + 2
Let q(d) = 157*d + 28. Let h(b) = 485*b + 85. Calculate -8*h(r) + 25*q(r).
45*r + 20
Let r(x) = 14*x - 163. Let y(t) = -8*t + 108. What is -5*r(z) - 8*y(z)?
-6*z - 49
Let v(c) = -2*c + 2*c**2 + 7*c**3 + 2*c + 0*c**2 + 5*c. Suppose 37*l = 38*l - 1. Let i(z) = -z**3 + z**2 - 2*z**2 + 4*z - 5*z. Calculate l*v(k) + 4*i(k).
3*k**3 - 2*k**2 + k
Let c(n) = 4*n - 5. Let x(q) = -q - 134. Let l(f) = -3*f + 72. Let i(d) = -2*l(d) - x(d). Give 5*c(m) - 3*i(m).
-m + 5
Let q be 96/(-36) - 2/6. Let a be q*5*(-4)/10. Let f be (3 + -12)*2/a. Let p(n) = -n + 4. Let i(t) = -3. What is f*p(d) - 4*i(d)?
3*d
Let t(b) = 4*b - 15*b**2 + 10 - 4*b + 13*b**2. Let n(p) = 61. Let i(d) = -35. Let o(z) = -7*i(z) - 4*n(z). Give -10*o(l) + t(l).
-2*l**2
Let y(c) = -34*c - 17. Let f(o) = o + 1. Let n(b) = b**3 + 9*b**2 - b + 89. Let d be n(-10). Calculate d*y(q) - 17*f(q).
17*q
Let m(l) = 14*l + 1. Let z = 353 + -349. Let i(o) = 13*o + 2. What is z*m(p) - 3*i(p)?
17*p - 2
Let i(y) = 13*y**3 + 394*y**2 - 13*y + 2. Let q(s) = 19*s**3 + 590*s**2 - 19*s + 3. Calculate -13*i(h) + 9*q(h).
2*h**3 + 188*h**2 - 2*h + 1
Let w = 620 + -570. Suppose 11*s + w = 21*s. Let z(d) = 1. Let q(l) = -l + 2. Calculate s*z(b) - 2*q(b).
2*b + 1
Let t(y) be the third derivative of -y**4/24 - y**3/6 - 8*y**2. Let o(c) = 6*c + 1. Suppose u = -2*v + 17 - 14, 8 = -3*v + u. What is v*o(l) - 3*t(l)?
-3*l + 2
Let q(t) be the first derivative of 6*t + 2*t**2 - 58 - 2/3*t**3. Let d(s) = 6*s**2 - 11*s - 17. What is 4*d(n) + 11*q(n)?
2*n**2 - 2
Let x(h) = -45*h - 190. Let w(s) = -14*s - 59. Let a(g) = 29*w(g) - 9*x(g). Let d be 4/(-6) - 16/3. Let k(r) = -5*r - 9. Calculate d*a(i) + k(i).
i - 3
Let p(m) = -5*m - 1. Suppose 18*s = 15*s - 33. Let w(u) = 32*u + 13. Let v(f) = -17*f - 7. Let i(o) = s*v(o) - 6*w(o). What is -6*i(n) + 7*p(n)?
-5*n - 1
Let n(w) = -18*w**2 + 6*w + 1. Let s be (-6)/9*28*18/48. Let c(u) = -17*u**2 + 7*u + 1. Calculate s*n(b) + 6*c(b).
24*b**2 - 1
Let q(h) = h**2 - 17*h - 1. Let t(l) = 17178*l**2 - 243355*l - 14315. Calculate 14315*q(w) - t(w).
-2863*w**2
Let s(x) = x - 62. Let f(a) = -1624*a + 310. Calculate -f(c) - 5*s(c).
1619*c
Let a(x) be the second derivative of -x**2/2 - 3*x. Let s(z) = z**2 - z + 7. Let k(y) = 18*y - 539. Let t be k(30). Determine t*s(h) + 5*a(h).
h**2 - h + 2
Let d(a) = -10*a**2 + 13*a + 4. Suppose -746 = -295*m + 390 + 929. Let h(s) = 1 - 4*s**2 - 2*s**2 + 3*s**2 + 4*s. Determine m*h(n) - 2*d(n).
-n**2 + 2*n - 1
Let b(j) = 647*j + 202. Let x(r) = -r + 33. Give -b(h) + 6*x(h).
-653*h - 4
Suppose -45*r = -44*r + 2*n + 3, 33 = 5*r + 2*n. Let p(z) = -12*z**2 + 4*z - 3. Let c(y) = -24*y**2 + 9*y - 7. Calculate r*p(i) - 4*c(i).
-12*i**2 + 1
Let t(p) = 4*p + 193. Let s(k) = 45. Calculate -4*s(a) + t(a).
4*a + 13
Suppose -4*s - j = -310 - 160, 3*s - 349 = j. Let d be 15*(21/s - 6/(-39)). Let o(g) = -g**3 + 3*g + 3. Let y(b) = -2*b**3 + 5*b + 6. Determine d*o(l) - 3*y(l).
l**3 - 3
Let q(n) = -n**3 + 10*n**2 + 50*n + 9. Let y(d) = 6*d**2 + 26*d + 5. Calculate -3*q(o) + 5*y(o).
3*o**3 - 20*o - 2
Let k(a) = -337*a + 89. Let f(z) = 380*z - 91. Let q(c) = -8*f(c) - 9*k(c). Let s(h) = 3*h + 36. Calculate -2*q(m) - 5*s(m).
-m - 34
Let y(j) = -2*j - 9. Let w(o) be the third derivative of 5*o**4/24 + 17*o**3/6 - 19*o**2 - 11*o. Calculate -4*w(i) - 7*y(i).
-6*i - 5
Let t(y) = 10*y**3 - 46*y**2 - 4*y - 3. Let i(r) = 9*r**3 - 39*r**2 - 4*r - 3. Calculate 7*i(p) - 6*t(p).
3*p**3 + 3*p**2 - 4*p - 3
Let f(r) = -17*r - 7. Let i(g) = 22*g + 175. Let z(m) = -45*m - 295. Let c(q) = -10*i(q) - 6*z(q). Determine 6*c(w) + 17*f(w).
11*w + 1
Let t(i) = -i. Let m(y) be the third derivative of 1/6*y**4 + 0 - 34*y**2
|
{
"pile_set_name": "DM Mathematics"
}
|
value in 3, -0.4, l?
-0.4
Let f = 6637/2 - 3319. What is the third smallest value in 0, f, -2/5, -382, -2/11?
-2/5
Let s = 1192.6 + -1192.8. Which is the biggest value? (a) 0.5 (b) -141 (c) 5 (d) 2/5 (e) s
c
Let j = -0.52366 - -2.52366. Let o = 8 + -8.1. Which is the second biggest value? (a) o (b) -44 (c) j
a
Let n be (29/(-348))/((-5)/(-60)). Which is the biggest value? (a) 3/52 (b) n (c) 1/8
c
Let h = -1445 - -1445.3. Let j = 3.3 + -2.3. What is the fourth smallest value in j, h, 54, -4/5?
54
Let t = 15.2 + -3.2. Let c = -12.4 + t. Let h(m) = 4*m**2 - 27*m - 4. Let n be h(7). What is the smallest value in 5, c, -0.5, n?
-0.5
Let y be 18/(-7)*602/(-258). Suppose -855 = -2*v + 7*v. Let b = -1200/7 - v. What is the third smallest value in y, b, -4?
y
Let o = -23010.6 + 23011. Let j be (-4)/(-2) - (-48)/(-26). Which is the smallest value? (a) 0.5 (b) j (c) -6 (d) o
c
Let w = 54.90141 - -0.09859. What is the fourth biggest value in 3, -20, -4, w?
-20
Let z = -1141.93 + 1142.4. What is the second smallest value in 0.3, z, -9.4?
0.3
Let o = 0.4 + 0. Let j = -47 + 46.32. Let d = 1.32 - j. What is the smallest value in o, 0.03, d?
0.03
Let s = 322 - 319.19. Let d = 3.11 - s. Let u be 1/(-2) - 1/2. What is the second biggest value in -2/3, u, -4, d?
-2/3
Let q = 2.5 + 0.5. Let i = 0.0996 + 434.9004. Let h = i - 437. Which is the third biggest value? (a) h (b) 2 (c) q
a
Suppose 0 = -4424*j + 4374*j - 100. Which is the third smallest value? (a) j (b) -1 (c) -7 (d) 34
b
Suppose 0 = 4*w + 20, -2*w = -5*x - 5*w - 60. Let g be (3/x)/(15/(-63)). Which is the third smallest value? (a) -11 (b) g (c) -2/11 (d) -5
c
Let z = 57 + -55. Let k = 3/14447 + 8639291/72235. Let i = k - 120. Which is the third biggest value? (a) i (b) z (c) 0.3
a
Let b be 1*-6*8/(-2544). Let i = 33 - 131/4. What is the biggest value in b, i, 5?
5
Let z = -6.4 - -7.4. Suppose k - 8 = 2*m - 3, -5*m + 4*k - 20 = 0. Let o = 2362 - 2359. What is the smallest value in z, 1/12, m, o?
m
Let k = -18.8 + 99.8. Let r = k + -143. Let l = r - -63. What is the biggest value in 2/9, -4, l?
l
Let s = 0.05 - 10.05. Let x = 7.534 + 0.466. Let v = x + s. Which is the third smallest value? (a) -5 (b) -1/6 (c) -1/3 (d) v
c
Let g(v) = -3*v**3 + 4*v**2 - 13*v + 1. Let p be g(3). Let l = -68 - p. Let m be (30/(-10))/l + 2/110. What is the second smallest value in 0.5, -0.1, m, 0?
-0.1
Let o = 1449 - 1443. What is the second biggest value in 0, 42, o?
o
Let w be 3/(93275/(-11662) - -8). Let f be w/5797 + (-6)/11. What is the third smallest value in f, -0.5, 1?
1
Let r = 1.6 - 2. Let t = 7.4 + -60.4. Let m = 53.5 + t. Which is the biggest value? (a) m (b) r (c) -5
a
Let f be 4*(-69 - (-4 - 1)). Let i = 252 + f. What is the smallest value in -2, 9, i?
i
Let o = 0.129 - 181.129. Let x = 180 + o. What is the smallest value in 0, x, 5, 1.8?
x
Let l = 354.7 - 352.4. What is the second biggest value in l, 1/6, 1/5, -0.2?
1/5
Let r = 3 - 3.027. Let x = r - -2.027. What is the second biggest value in 28/3, x, -0.5?
x
Let o = 2 - 1.9. Let u = -0.09174 - 0.20826. Let z = 6.14 + -0.14. Which is the second smallest value? (a) o (b) 0 (c) z (d) u
b
Let i = -8 + -4. Let r = i + 7. Suppose -2*n - 15 = 5*y - 32, -3*y + 4 = -5*n. What is the biggest value in r, 1/11, n?
n
Let q = 4063 - 4063. Let i = -80 + 402/5. Which is the smallest value? (a) -2 (b) i (c) -12 (d) q
c
Let h be (0 - (35/15)/7)/(165/(-90)). What is the third biggest value in h, -2/7, 1/2, -36/13?
-2/7
Let v(q) = q**3 - 1. Let s be v(1). Which is the fifth biggest value? (a) 14.6 (b) s (c) 0.2 (d) -0.2 (e) 1/3
d
Let d = 108 + -109. Let v = -348.4 + 348. Which is the second biggest value? (a) v (b) 0.2 (c) d
a
Let q be (-86)/20*(587 - 585). Which is the second smallest value? (a) -1/4 (b) q (c) 53 (d) -5
d
Suppose -5*v = -f - 7, 103 - 96 = 3*v - 2*f. Let r = 9 - 12.5. Let g = 3 + r. Which is the second biggest value? (a) g (b) 2/9 (c) v
b
Let q = 0.71 - 1.11. What is the third smallest value in -1, 3/7, q, -3/2, 5?
q
Suppose 3*f + 205 - 271 = g, 0 = 5*f - 45. Which is the second biggest value? (a) -1 (b) g (c) -2
c
Let p = -257.065 - -257. Which is the second biggest value? (a) 16 (b) p (c) -1
b
Suppose -15741 = -5*k - 5*u - 2516, -5305 = -2*k + 3*u. Let v = k - 8072/3. Let r = -42 - v. What is the fourth biggest value in r, 3, 0.16, 0.4?
0.16
Let o = 12.326 - 14.326. What is the fourth biggest value in o, 2, 3/2, -0.3, 2/7?
-0.3
Let k = -5920 - -5922. What is the third smallest value in k, -1, -19, 0.2, -4?
-1
Let u = 51 - 151. Let n = -99.6 - u. Let v be 0/(-1) - (-10)/8. Which is the smallest value? (a) -0.5 (b) v (c) n (d) -0.1
a
Let w(h) = 431*h + 4312. Let x be w(-10). Let q = 0.1 - 1.1. Which is the fourth smallest value? (a) x (b) -2/9 (c) q (d) -5
a
Suppose -26*r = 29*r - 143 + 33. Let l = -0.1 + 0.3. Let k = -0.5 + l. Which is the smallest value? (a) r (b) k (c) -1 (d) 1/7
c
Let m = 0.129 + -0.461. Let k = 0.032 + m. Which is the third biggest value? (a) -0.18 (b) k (c) 0.4
b
Let w = -73 + 81. Let r be ((-6)/20)/((-61)/(-8) - w). Which is the smallest value? (a) 5 (b) r (c) -0.03 (d) -5
d
Let j = -597.3 + 596.4. What is the third smallest value in j, -173, 1/4?
1/4
Suppose 2*n + g - 3 = -3*n, 3*g = 5*n + 9. Let v be 1/((-9)/(-2)) - n. Which is the second smallest value? (a) -2 (b) v (c) -16
a
Let y(m) = 594*m - 4750. Let v be y(8). Which is the third biggest value? (a) -4 (b) v (c) -45/8 (d) 0.1
a
Let v be (-26)/40 + (-2)/(-8). Let p = -178/705 - -7/2820. Which is the fourth smallest value? (a) -8 (b) 0.5 (c) v (d) p
b
Let c = 66.6 + -53. Let g = c - 13.8. Let o = -4 - -9. What is the second smallest value in 4, o, -3, g?
g
Let u = 23677/4 + -5920. Which is the smallest value? (a) -3 (b) 5 (c) u (d) 299
a
Let x = -169 + 170. Let l = x + -0.92. Which is the second smallest value? (a) -1/2 (b) -2/7 (c) l
b
Let k be 4/32 - (-5327)/8. Let n be (-6)/(-33) - k/(-88). Let m = -8 + n. What is the third biggest value in 0, m, 4?
m
Suppose u + 4*t = 35, u - 3*u + 5*t = -44. Let i be -2 + 6/u*7. Which is the second biggest value? (a) -0.05 (b) -6 (c) i
c
Let l = 7466 - 7471. What is the fifth biggest value in -16, -4/5, l, 2, 5?
-16
Let z be (9/16)/(264/(-352)). Which is the second biggest value? (a) z (b) 3/13 (c) -7/30
c
Let l(g) = 4*g + 57. Let j be l(13). Suppose -j*m = -112*m + 207. Let v = 67 - m. Which is the third biggest value? (a) 1 (b) -2/9 (c) v
c
Let f = -3/34 - 59/102. Let g be 24/56*(-11)/6*2. Let k = g + 26/21. What is the fourth biggest value in 0.4, f, k, 2/11?
f
Suppose 47*y - 11504 = -11269. Which is the third smallest value? (a) -1/6 (b) y (c) 519
c
Let t = -322.7 + 35.7. Which is the second smallest value? (a) 1/2 (b) t (c) -0.3
c
Let o be -1*(-1)/7*490/(-49). Let f = 179/4 - 45. What is the smallest value in o, 5, f?
o
Let p be -2 + 14/5 + (-27)/(-135). What is the third biggest value in 40, p, 2, -4/7?
p
Let h be 2/3*9/(-24). Let w = 41.025 - 0.025. Let f = w + -30. Which is the third biggest value? (a) -4 (b) h (c) f (d) 3
b
Suppose 0 = 2*k + 2*d - 30, -6*d = 4*k - 10*d - 116. What is the third biggest value in -14, k, -4?
-14
Let n = 13.7 + 0.3. Let m = n + -9. Let k = 11.3 + -11.3. What is the biggest value in -0.1, 1/6, k, m?
m
Let n = 67 - 51. Suppose -r = n*r - 1241. Let g = -149/2 + r. What is the biggest value in 15, g, -1/3, 0.1?
15
Let w = 3145 - 3147. Which is the third smallest value? (a) -13 (b) -3/2 (c) 2/9 (d) w
b
Let v = 12 + -11.6. Let r(s) = s - 42. Let d be r(20). Let z = 19 + d. What is the fourth smallest value in z, 14, v, -2/5?
14
Let b = 5.3 + -20.3. What is the second biggest value in 4, 0.2, b, -0.2, -5?
0.2
Let m = -830.1 - -835.17. What is the smallest value in 5, -1/6, m?
-1/6
Let f = -292.07 - -296. Let i = f - -1.07. What is the third biggest value in 68, i, -0.3?
-0.3
Let p(x) = x**2 + 5*x - 60. Let l be p(6). Suppose j + 9*h - l*h = 13, 0 = -j - h + 3. What is the fourth smallest value in 2/11, j, 3/7, 3?
3
Let c = -13 - -8. Let g = 0.223 - -2.317. Let b = g + -0.54. What is the fourth biggest value in -3, b, c, -4?
c
Let l = 283.5 - 330. Let k = 50.5 + l. Which is the second smal
|
{
"pile_set_name": "DM Mathematics"
}
|
-5 (c) 1/9 (d) -0.14 (e) 0.3
e
What is the closest to 5.8 in 2/165, -3, -95, -0.1?
2/165
What is the closest to 0 in 13, 4, -2913, 1/2, 0?
0
What is the closest to 2 in -56, 2/55, 3, 2/9, -209, 1/2?
3
What is the nearest to -0.5227 in 1, 1/7, 3/5, 0.5, 1/14?
1/14
What is the nearest to 136.14 in 0.4, 39.2, 1/2, 1/5?
39.2
What is the closest to 1/254 in 294, -5, -2/11?
-2/11
What is the closest to -0.1 in 4.123, 14, -1/2, 1/2, 3, -0.3?
-0.3
Which is the closest to -1? (a) -4 (b) 422 (c) -35 (d) -1.5
d
Which is the closest to -3? (a) -0.2 (b) 106/3 (c) 1355/3 (d) 0 (e) 0.2 (f) -1
f
What is the closest to -2/3 in 283, 1, 1674, 95?
1
What is the nearest to 21 in -0.4, -0.3, -5.103, -6/31?
-6/31
Which is the nearest to -8/11? (a) -0.2 (b) -3 (c) -0.3 (d) -1.2 (e) 0.0627
c
What is the closest to -2 in -0.2, -3.1, 10, 1, 1031?
-3.1
Which is the closest to -4? (a) 1/366 (b) 8 (c) -12 (d) -3
d
Which is the nearest to -19/84? (a) -1 (b) 5 (c) -751
a
What is the nearest to 33/79 in -2/15, -5, 7, -3?
-2/15
Which is the closest to -0.1? (a) -2750 (b) 0.1 (c) 105.84
b
What is the nearest to 0 in 8.5, -0.01, 0.2, 56, -1/15?
-0.01
Which is the closest to -0.58? (a) 2/9 (b) -0.18 (c) 1/5 (d) 3
b
Which is the closest to -0.2? (a) -3/4 (b) 3/7 (c) 14 (d) 98 (e) -1.2
a
Which is the closest to 0? (a) 355/34 (b) -6 (c) -0.4 (d) -3 (e) -5
c
Which is the closest to 3? (a) 5 (b) 9/4 (c) 60940.1
b
What is the closest to -1038 in -5, 3/4, 0.497?
-5
Which is the closest to 2/17? (a) -156 (b) -23/3 (c) 0.198
c
What is the closest to 1/92 in 12, 3/2, -6, 1/2?
1/2
What is the nearest to -0.2 in -11/35, -2, 8, 9/16?
-11/35
Which is the nearest to -0.1? (a) 5 (b) 0 (c) 2/47 (d) 2/1079
b
What is the nearest to -2 in 408/31, -0.6, -1/2, 0.3, 1/3, 4?
-0.6
What is the closest to -2/3 in 0.1, 944, 2/13, -1, 0.6?
-1
Which is the closest to 0.082? (a) 1/18 (b) -1/5 (c) -1/490
a
Which is the closest to 0.2? (a) 1/5 (b) 24 (c) 68/7 (d) 2 (e) -183
a
Which is the closest to 69.2? (a) 2 (b) 0.5 (c) -0.1967
a
What is the closest to 9 in 15, -51, -4.6?
15
Which is the nearest to 0? (a) 176.1 (b) -17 (c) 7 (d) 2/3 (e) -6
d
Which is the closest to 2/3? (a) -0.02 (b) -0.0728 (c) 97
a
Which is the closest to 1? (a) 22 (b) 2 (c) 0.06375
c
What is the closest to 0 in 0.0279, -2/7, 4, 5, 725, -0.1?
0.0279
What is the closest to 1 in -1/19, -1, 2, 80, -4, 182/3?
2
Which is the nearest to 1419? (a) -20 (b) -1/4 (c) -0.5 (d) 2
d
What is the nearest to 0.2 in -3, -286/25, -0.03, -7/5, 2, -1/6?
-0.03
What is the closest to 331 in 3, 1, -2, 0.0322?
3
Which is the closest to 19? (a) -4 (b) 0.9 (c) -42/167 (d) 1/3
b
Which is the nearest to 2/5? (a) -2/9 (b) 1 (c) -68 (d) 2/11 (e) 1/3 (f) -0.3
e
Which is the nearest to -1? (a) 1 (b) -666465 (c) -4
a
What is the closest to 3 in 2/5, -9229, -1/5, -2?
2/5
Which is the closest to 39? (a) 1978 (b) -0.5 (c) -2 (d) -5
b
What is the nearest to 3 in -2752, -1.1, 0, -6, 0.4, 0.2?
0.4
Which is the nearest to 0.1? (a) -2/5 (b) 3/10 (c) 10219
b
What is the closest to -155 in 1/6, -0.5, 1, 4, 0, -488?
-0.5
Which is the nearest to -2? (a) 16 (b) 37/84 (c) 9
b
What is the closest to 0.2 in -93, -2, -5, -0.0425, 4, 1?
-0.0425
Which is the closest to 4? (a) 1/198 (b) 5/16 (c) 7
c
What is the nearest to -1/4 in 3640, 0, 5, 2/517?
0
Which is the closest to 595? (a) -0.2 (b) 141 (c) 3 (d) -1/4
b
What is the nearest to 20 in -3/4, 2, -5, -2/2023?
2
Which is the nearest to 2? (a) -170/29 (b) -7 (c) -6.7
a
Which is the nearest to -742.8? (a) -9/4 (b) -1/3 (c) 16
a
What is the nearest to 180 in -0.5, 0.2, -564?
0.2
Which is the nearest to 0? (a) 5 (b) -53 (c) -3554 (d) 49 (e) 3
e
What is the closest to 1/4 in 21, -0.06262, 6/5?
-0.06262
Which is the closest to -13? (a) -1 (b) 11/4 (c) 4 (d) 20 (e) 145
a
What is the nearest to 0.1 in -1494, 6, 47?
6
Which is the closest to 2/5? (a) -286 (b) 0.0403 (c) -1.2
b
What is the closest to -9 in 30, -4, -0.5, -2/1805?
-4
What is the closest to -8 in -6, -1, -2/9013?
-6
What is the closest to -2/11 in 4, 66, 442/47, -3?
-3
What is the nearest to -2/23 in -0.26, -1/3, -176, 1/4?
-0.26
Which is the nearest to -0.2? (a) 0.013 (b) 0.5 (c) -2/5 (d) 0.18 (e) 28
c
What is the closest to -0.06 in -5, -5.304, -1/2, 28/5?
-1/2
Which is the nearest to 2? (a) 500 (b) 1 (c) 14 (d) -15
b
Which is the closest to -969/401? (a) 0.4 (b) 0.3 (c) -2/5 (d) -2/7
c
What is the nearest to 8 in -0.6, 0.5, 2, 3, 3/34?
3
Which is the closest to -12? (a) -144 (b) 1.5 (c) 49
b
Which is the nearest to -1? (a) -1484 (b) 14/29 (c) -2 (d) -1/5
d
Which is the closest to -23223/7? (a) 2 (b) -1 (c) 63
b
What is the closest to 1 in -18/5, -5, 327443/3, -5/4?
-5/4
What is the nearest to 2.36 in -0.7, -2/11, 405, -0.2?
-2/11
What is the nearest to 0.4 in 3.96, 3/8, -0.4, -1521?
3/8
Which is the closest to -0.1? (a) 0 (b) 561/5 (c) -1.833
a
Which is the nearest to 1/3? (a) -8 (b) -2 (c) -3 (d) 10206
b
Which is the nearest to 10? (a) -6/5 (b) 0.04 (c) 4609.5
b
What is the nearest to 2 in 3, 0.1, -1416/7, -20?
3
What is the closest to 0.2 in -0.1, 0.1, 3/4, 3, 1, 58775?
0.1
Which is the closest to 3? (a) -3/7 (b) -2 (c) -0.4 (d) 19/3 (e) -24/11
d
What is the nearest to -2/9 in -37, -0.4, -3991/6?
-0.4
Which is the closest to -2? (a) -2/11 (b) -11 (c) 4/5 (d) -34 (e) -14
a
Which is the nearest to -0.1? (a) 16.4161 (b) -218 (c) -1
c
Which is the nearest to 0? (a) -14926 (b) -3 (c) 7 (d) -0.2
d
What is the closest to 0.3 in 24/3355, -7, 86?
24/3355
Which is the nearest to -127.863? (a) 2 (b) 1 (c) -1
c
What is the nearest to 23 in -20.15, 1/18, 1/4, -2/13?
1/4
Which is the closest to 0.3? (a) 0.5 (b) -5 (c) 1/8 (d) 4 (e) -4/3
c
Which is the nearest to 510656? (a) -1/292 (b) 3/7 (c) 3/5
c
What is the nearest to 0.09 in 99, 3, 0.4, -41/11?
0.4
Which is the closest to 150/49? (a) 3 (b) 0 (c) 16.7
a
Which is the nearest to -9? (a) 1/106 (b) 4 (c) -5 (d) -81
c
Which is the nearest to 3072? (a) 0.3 (b) -1960 (c) 0.7
c
Which is the nearest to 2.6? (a) -1.32 (b) 0.91 (c) 3/5
b
Which is the nearest to 0.1? (a) -3 (b) -4 (c) -42 (d) -48.8
a
What is the closest to 0.2 in 4/5, 2/3, 1/3, 36/11273, 1?
1/3
What is the closest to 0 in 1/6, 5/4, 0.4, 8.53, 0.1, -0.32?
0.1
Which is the nearest to 1? (a) 11 (b) 0.6 (c) 4 (d) -3 (e) -69
b
What is the closest to 5 in 4, 5/2, -10, 565663?
4
What is the closest to -24360 in 0.03, -2/5, 2, 0.1, 0?
-2/5
Which is the nearest to 1? (a) 9.4 (b) -1/14 (c) -1.3 (d) -0.3
b
What is the closest to 5 in -0.4, 154, -48, -2, -2/13, 0.5?
0.5
What is the nearest to -3.02 in 2/5, 1/5, 4/5, -641, -0.3, 0.5?
-0.3
What is the closest to -117 in -2/297, -0.2, -5, 4/5, 3, 1?
-5
What is the nearest to -1 in -3/8, 1/7, 2, 990833, 5?
-3/8
What is the nearest to 1 in -5, -3/5, -2, -5756201?
-3/5
Which is the nearest to 9186.2? (a) 1 (b) 0.2 (c) 0.5 (d) -1/2
a
Which is the closest to 0.1? (a) 14/9 (b) -124 (c) -2229
a
What is the closest to 5 in -10, -152.86, -2/19?
-2/19
Which is the closest to 4.8? (a) 0.1 (b) -66 (c) -17 (d) 16 (e) 3
e
Which is the closest to 4792? (a) 0.2 (b) 1.6 (c) 7 (d) -0.4
c
Which is the nearest to -2212? (a) -3/2 (b) 0.4 (c) 0.1 (d) -163 (e) -0.1
d
Which is the nearest to 4552? (a) -0.5 (b) -49 (c) 2.7
c
Which is the closest to -5445? (a) 0.4 (b) 1 (c) -0.3 (d) 116
c
What is the nearest to -1 in -4/11, 4/95, -1, -2/7?
-1
Which is the nearest to 43? (a) -622 (b) 2/9 (c) 0.5 (d) -6.4
c
Which is the closest to 3047? (a) -12 (b) -2.6 (c) 1
c
What is the closest to -3 in -11/9, -13, 0.03?
-11/9
What is the nearest to -3 in -21, -0.2, 2/9, 1?
-0.2
Which is the closest to 0? (a) -1 (b) -3 (c) -6.9 (d) 0.2 (e) 0 (f) -2/23
e
Which is the closest to 0? (a) -5 (b) 0.87 (c) 0.4 (d) -4349 (e) 4
c
Which is the nearest to 2356? (a) -5 (b) 2/5 (c) 0 (d) -28
b
Which is the closest to 0.17? (a) -8 (b) -183 (c) 3
c
Which is the closest to 43/7? (a) 2/43 (b) -4 (c) -4/5 (d) -3.7 (e) 0.1 (f) 0.9
f
What is the closest to 10/7 in -2, 3, -0.1993, -7?
3
Which is the closest to -2/11? (a) -2/13 (b) -5/17 (
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*t - 22. Let w(h) = h**2 - 11*h. Let z be w(t). Solve -5*j + 2*j + 3 = z for j.
1
Let o(q) = q**3 + 7*q**2 + 7*q + 8. Let x be o(-6). Suppose -12 = -y - 2*g, -g = -x*y + 6*y - 34. Suppose -4 + 20 = 8*f. Solve 0 = -f*z - y for z.
-4
Let b be ((-1)/2)/(3/36). Let k(v) be the first derivative of -v**2/2 - 4*v + 28. Let t be k(b). Solve i = -t*i for i.
0
Let u = -334 - -337. Solve 3 = -2*r - u for r.
-3
Suppose -2*g + 10 = l, -5*l + 2*g - g = -39. Solve 8*h - 12*h = -l*h for h.
0
Suppose 0 = 4*q + v - 52, -5*q - 4*v + 0*v = -54. Suppose -q = -4*i + 3*a - a, -4*i - 7 = 5*a. Let w(p) = -p + 5. Let f be w(0). Solve i = -f*u - 3 for u.
-1
Let k = -92 + 146. Solve x + k = 51 for x.
-3
Suppose 0*t + 25 = 5*t. Let d(i) = i**3 + 9*i**2 + 8*i + 2. Let x be d(-8). Let y be 3 + x - (-8 + 11). Solve t*j - 9 = y*j for j.
3
Let m be -3*1*(-1 - -3). Let n = 10 + -8. Let o be (8/n)/(8 + m). Solve -o*h = -6 - 2 for h.
4
Let d(r) = -5 - 2*r - 10 + 14 - 9. Let o be d(-6). Solve 3 = o*i - 5 for i.
4
Let f be 0/(0 + 1) - 36. Let i = -36 - f. Solve i = -0*x + x + 2 for x.
-2
Suppose -32*s = -122 - 230. Solve -15*p + 4*p + s = 0 for p.
1
Let a(u) = -u**3 - 11*u**2 - 17*u + 13. Let w(m) = -m**3 + 24*m**2 + 25*m - 9. Let y be w(25). Let x be a(y). Solve -4*o = -0*o - x for o.
1
Let b = -727 - -745. Solve -b*i + 3 = -19*i for i.
-3
Let u be 9/6*(2 - 0). Suppose 2*r - u*r = -21. Suppose j + r = 2*l + 3*l, -j - 2*l + 14 = 0. Solve 13 - j = 3*i for i.
3
Let j(i) = i**3 + 8*i**2 - i - 5. Let d be j(-8). Solve f = -6 + d for f.
-3
Suppose -4 = 2*h - h. Let v = h + 9. Solve 0 = -3*g + 4*g - v for g.
5
Let l(v) = 4*v - 22. Let o be l(6). Solve 0 = -6*q + o*q - 12 for q.
-3
Let r = 243 + -223. Solve 7*c - r = -55 for c.
-5
Let k(a) = 5*a**2 + 43*a - 129. Let w be k(-11). Let h be (-4)/6 + (-292)/(-6). Suppose 5*v = 37 + h. Solve v - 2 = w*s for s.
5
Let y be 181/6 + 0 - 7/42. Suppose 0 = -4*i - 6*i + y. Solve 0*t = t + i for t.
-3
Suppose -31*i = -35*i - 2*f + 4, i = -4*f - 6. Solve -i = -4*y + 6 for y.
2
Let s be 68/12 + 1/3. Solve 2*r = -r + s for r.
2
Let n = -52 - -52. Suppose -2*q + 5*z - 1 = -n*q, q - 3*z + 3 = 0. Solve 6*r - q = 3*r for r.
4
Suppose -3*i + 11 + 1 = 3*v, -4*i + 4 = -2*v. Suppose -2*p = -0*p + 20. Let t = p - -12. Solve -v*x + t = -2 for x.
2
Suppose 9*v - 179 = 28. Solve 14 = 9*p + v for p.
-1
Let q = 0 + 1. Suppose 0 = -4*u + 14*u + 20*u. Let i be (q - -2) + u/15. Solve -w = -4*w + i for w.
1
Suppose 5*b = 5*c + 95, 4*c = b + 2*b - 57. Let t = b + -19. Suppose 12 = 5*p + n, t*p - 8 = p - 5*n. Solve -5 = -d + p*d for d.
-5
Let s be 5/(-20)*600/(-15). Solve 12 = -s*d + 32 for d.
2
Suppose -6*t = -3*t - 9. Suppose -3*i + c = -14, -3*i - 5*c = -6 - 14. Suppose -y = -2*o + i, -4*o + 5*y - 8 = -21. Solve -o*l = -l - t for l.
3
Let y be ((-1)/3)/(1 - (-56)/(-54)). Suppose -14*h + y = -19. Solve -3*i - 3 = -h*i for i.
-3
Suppose 105 = 5*v - 5*j, 4*j = v - 25 + 4. Solve 0 = v*p - 9*p - 12 for p.
1
Let g(c) = -c**3 + 4*c**2 - 5*c + 10. Let q be g(3). Solve 0 = -38*z + 39*z - q for z.
4
Suppose -33 = -4*m - 3*t, t + 12 = 5*t. Let g be (-28)/m*360/(-84). Solve g = -2*r - 2*r for r.
-5
Let c(f) = 19*f**2 - 86*f - 15. Let s be c(5). Solve s = 42*i - 36*i for i.
5
Let k be (-1 - 60/(-55)) + (-306)/(-22). Solve -k*m = -16*m + 4 for m.
2
Suppose -14*n + 75 = n. Solve -9*u - 8 = -n*u for u.
-2
Suppose 0 = -7*o - 12*o + 8*o. Solve o = -2*u - 3*u + 5 for u.
1
Suppose 3*q - 20 = -4*l + 3, -4*q = -5*l + 21. Let t be (-1)/1 + -3 + 1. Let g be t + -1*(-3 + 0). Solve -2*k + 3 + q = g for k.
2
Let q be (30/9)/((-6)/(-9)). Let b be (4/3)/(39/117). Solve 0 = q*j - b - 6 for j.
2
Let l be (-12)/16 - (-675)/36. Solve 5*m - 7 = l for m.
5
Suppose 2*h + 21 = 75. Suppose -f - 44 = p + 3*p, 2*p = 3*f - 22. Let g(c) = c**3 + 12*c**2 + 11*c + 5. Let t be g(p). Solve t*z - 2 = -h for z.
-5
Let f(l) = l + 1. Let q(y) = -y + 1. Let h(s) = 3*f(s) - q(s). Let g be h(0). Solve 1 = -g*o + 9 for o.
4
Let n(a) = -2*a**2 - 2*a + 4. Let j be (1 - 2)*(-5 - -7). Let f be n(j). Solve f = 4*m - 2*m + 10 for m.
-5
Suppose -5*v - 278 = p + 22, 0 = 4*v + 5*p + 261. Let m = 65 + v. Solve 4*i - m = 2 for i.
2
Suppose 2*c - 15 = -3*c. Suppose -4*b = a + 13, a - 5 = c*b + 10. Solve -a - 5 = -4*p for p.
2
Let s be 10/(-3)*(-7 - (-116)/20). Let q be (-1 + -1)/(2/8). Let o(v) = -v - 3. Let k be o(q). Solve -x + s = k for x.
-1
Suppose -63*m + 56*m + 84 = 0. Solve -17*w = -m*w - 15 for w.
3
Let m = 612 - 582. Solve -3*c - 33 + m = 0 for c.
-1
Let j = 33 - 37. Let l be (j/6)/(4/(-6)). Solve -3*f - 10 = -l for f.
-3
Let b(i) = -i**3 - 23*i**2 + 23*i - 20. Let y(k) = k**3 - 7*k**2 - 22*k + 12. Let x be y(9). Let w be b(x). Solve 0 = w*n - n for n.
0
Suppose 0 = 5*m - 292 - 8. Solve -m + 56 = 2*b for b.
-2
Suppose -225 = 17*u - 225. Solve u = 4*c - 6*c + 4 for c.
2
Let h(r) = -2*r**2 - 11*r + 9. Let w(s) = s**2 + 1. Let y(m) = h(m) + 3*w(m). Let v be y(10). Solve 1 + 5 = v*a for a.
3
Let o = 37 + -26. Suppose -15*r + o*r = -80. Solve 5*x = x - r for x.
-5
Suppose -5*l + 12 = s, 2*l - s = -3*l + 18. Suppose 0 = l*k - 4*a - 8, -3*k - 5*a = -2*k - 9. Solve 9 = -k*w - 7 for w.
-4
Suppose 2*u - 5*u = -2*v + 4, 10 = 5*v - u. Let g be (10/5)/(2/5). Let s = 5 - g. Solve -j + v*j = s for j.
0
Let r be -9 + 8 + 1 + 2. Let p(m) = m**3 + 9*m**2 + 8*m + 2. Let k be p(-8). Suppose -n = -r - k. Solve n = -x + 2*x for x.
4
Let j(l) = l**3 - 7*l**2 - 2*l + 48. Let d be j(6). Solve 0 = -d*g + 4*g + 12 for g.
-3
Let o be 4/((-32)/12) - (-9)/6. Solve -j + 1 = -o for j.
1
Let x = -1 - -6. Suppose k = x*w - 21, k = -w + 3*k - 3. Let i(z) = 24*z - 1149. Let v be i(48). Solve -22 = -w*s + v for s.
5
Let d = 28 - 22. Suppose 4*z - d*g - 29 = -g, 2*g + 10 = 0. Solve 0*p - p + z = 0 for p.
1
Suppose -2*p = 3*r - 9, p - 3*r + 0*r = 0. Solve -3*q = -p*q + q for q.
0
Let s = 23 - 75. Let r = s - -55. Solve r*g = g - 6 for g.
-3
Let j = 25 + -20. Let v = j + -3. Let l be 5 + (0/v)/(-3). Solve -3*i = 2*i - l for i.
1
Let w = 37 - 35. Suppose -w*b - b = 5*v - 20, 0 = -3*v + 3*b + 12. Solve -v*y + 0*y = 0 for y.
0
Let w = 3318 + -3295. Solve 22*z - w*z = 1 for z.
-1
Let y(x) = -x + 13. Let w be y(10). Let p be ((-9)/w)/((-4)/4). Suppose -p*i - i = 0. Solve 1 = -h - i*h for h.
-1
Let z be (7 - 258/42) + 2/14. Solve 6*t + z = 7 for t.
1
Suppose -4*c + 84 = 10*c. Suppose c*v - 1 = -1. Solve v = r - 3 - 1 for r.
4
Let b be 3 + 2*6/4. Let a(h) = -2*h - 7. Let p be a(-5). Solve 3 = p*s + b for s.
-1
Suppose -13 = l - 3*b, 0 = -l - 2*b + 15 - 3. Suppose 5*h - 20 = 0, -2*r + 5*h - 4 = l*r. Solve -f = -r*f for f.
0
Let q = 27 - 25. Suppose 0 = 4*u - 4, 3*p - 6 = 4*p + 4*u. Let h = p - -14. Solve -q*g - h = -g for g.
-4
Let y = -416 - -421. Solve h - y*h = 3*h for h.
0
Suppose 3*y - 2*y + j = 6, -y + 2*j = 3. Suppose y*m - 18 - 24 = 0. Let l be (6/(-21))/((-2)/m). Solve -3*p = -l*p + 2 for p.
-2
Suppose -b + 6 = 2. Let x be 8/(-1) + 23 + -15. Solve -s + x = -b for s.
4
Let p(h) = 2*h + 2. Suppose 1 = 3*j - 5*w - 4, 3*j - 23 = -4*w. Let a be p(j). Solve 2*z + z - a = 0 for z.
4
Let m(g) = -g**3 - 6*g**2 - 4*g + 6. Suppose c = 4*c + 15. Let f be m(c). Solve -4 - f = k for k.
-5
Suppose -5*p + 3 = -87. Suppose x + 0*x + 15 = 0. Let z = p + x. Solve -4*t = -5*t + z for t.
3
Let m(w) = w**2 + 15*w + 17. Let f(v) = -v**2 + 15*v + 22. Let n be f(17). Let a = n - 2. Let t be m(a). Solve 2*s = t*s for s.
0
Let t = 207 - 205. Solve -l + 7 - t = 0 for l.
5
Suppose 3*f = -k - 2*k - 48, -8 = -4*f. Let v be 5*(4*-1 + 2). Let h = v - k. Solve -u = -5 + h for u.
-3
Let w(n) = n**3 + 6*n**2 + n + 9. Let d be w(-6). Suppose -5*s + 3 = -3*z, 1 = d*z - 4*z. Solve 0 = p - s*p - 2 for p.
2
Let l = -343 - -367. Solve 0 = 17*i - 5*i + l for i.
-2
Let i(g) be the second derivative of -g**5/20 - 7*g**4/12 - 5*g**3/3 - 9*g**2/2 - g. Let l be 4 - 14*3/6 - 3. Let u be i(l). Solve -k - u = 2*k for k.
-5
Let x(q) = -14*q**2 - q + 1. Let g be x(1). Let p = g - -14. Let o(u) = 2*u + 2. Let d be o(p). Solve -7 = -d*s + 3 for s.
5
Let s be 5/(-50)*-5 + 7/2. Solve -s*l + 4 = -4 for l.
2
Suppose -y - 5*q = 20, 3*q + 63 + 12 = -2*y. Let w = y - -47. Let h(v) = -v**2 - 4*v - 1. Let s be h(-3). Solve t = s*t - w for t.
2
Suppose 52*q - 57*q - 45 = -4*o, -o - 2*q - 5 = 0. Solve 2*h + o*h = 35 for
|
{
"pile_set_name": "DM Mathematics"
}
|
e.
q**(-317/15)
Simplify ((k**(-5)/(k*k**8))/((k**12/k*k*k*k)/(k*k*k*k**(-34)*k)))**(-27) assuming k is positive.
k**1566
Simplify ((j*j**(1/28)*j*j**(-5/6)/j*j)**(-6))**(-7) assuming j is positive.
j**(101/2)
Simplify (((n/n**(-2/25))**(-1/14))**(11/3))**48 assuming n is positive.
n**(-2376/175)
Simplify ((m**(1/3)*m)**(20/9)*(m/((m**(2/9)*m)/m))**(-26))**(-4/11) assuming m is positive.
m**(1864/297)
Simplify (m**(1/14)/m**(-5))**(-24)/((m/(m/(m/((m/(m**(-1)/m))/m*m*m))))**(-4/27)/((((m*((m**0*m)/m)/m)/m*m)/m)/m)**(-47)) assuming m is positive.
m**(-1774/63)
Simplify ((((m/m**(2/7)*m)/(m*m*m/(m*m**9/m)))**(-7/8))**(2/17))**(-8) assuming m is positive.
m**(108/17)
Simplify ((l/l**(1/3))/l)**37/(l*l**(-2)/l*(l*l**(-2/17))/l)*((l*l*l**4*l)**18)**(1/16) assuming l is positive.
l**(-955/408)
Simplify (f**(-1/3)*(f*f**(-3))/f*f*f)**(-32)*((f*f**(2/5))/f)**(-50)/(f**(1/10)/f**6) assuming f is positive.
f**(857/30)
Simplify (n**(6/23)/(n**(2/35)/n)*((n/n**(-4/3))/n*n)**43)**21 assuming n is positive.
n**(245212/115)
Simplify ((c**(1/3))**(1/6)/((c/c**(-12/13))/(c/c**(-16))))**42 assuming c is positive.
c**(24787/39)
Simplify ((q**(2/9)*q)/((q**(2/7)*q)/q)*q**3*q**(-2/5))/(((q*q**0/q)/q)/q*q*q**2*(q/(q*q**2))/q*q**4) assuming q is positive.
q**(484/315)
Simplify t**40/t**(11/2)*(t*t**24)/(t*t**(9/4)/t) assuming t is positive.
t**(229/4)
Simplify ((j*j**4/j)/j*j**12*j*j*j**(-3/4)*j**10)**(-5/17) assuming j is positive.
j**(-525/68)
Simplify (((g/(g*g**(1/4)/g*g))/g)**(3/25))**(-41)/(((g**(-1/2)*g)/(g/(g/g**(-1/8)*g)))/((g*g**(1/4))/(g*g**(-2/7)*g))) assuming g is positive.
g**(1137/280)
Simplify ((b/b**3)/b*(b*b/(b/b**(-2)))/b)**(-18)*b*b/((b/b**1)/b)*b**(-5)*b**(-5)*b*(b/b**(-2/11)*b)/b assuming b is positive.
b**(937/11)
Simplify ((d**(-2/5)*(d*d**8)/d)/(d/((d/(d*d**(2/17))*d*d*d)/d)*d/d**2))/((d**(-1/4))**(-1/45)*d**(-2)/d**(-2/5)) assuming d is positive.
d**(6779/612)
Simplify (l**48*l*l*l**(9/11))/(l/l**(2/77))**(-1/19) assuming l is positive.
l**(74422/1463)
Simplify ((b/((b*b/b**(-3/2)*b*b)/b))**(-39))**(-13/6)/(((b/(b**(2/3)*b*b))/b)**(11/8)/(b*b*b**(-2/3)*b)**(-14)) assuming b is positive.
b**(-1299/4)
Simplify ((p/p**(2/9)*p)/(p*p**6*p))**(-2/41)/(((p/p**(3/4))/(p*p/(p/(p/(p/(p*p**(-5))*p*p))*p)))/((p/(p*p*p**(1/3)))/p**0)) assuming p is positive.
p**(-10745/1476)
Simplify ((b*b**(-5)*b)/b**6)**(2/33)*(b**(1/4))**(9/8)/(b**(-2/5)/((b*b/((b**(1/3)*b)/b)*b)/b)) assuming b is positive.
b**(9517/5280)
Simplify (r**(-3/20))**(1/16)/(r**(-3/4)*r*r**(-1)*r) assuming r is positive.
r**(-83/320)
Simplify ((u**(-2)/u*(u**0*u)/u)/(u*(u/(u/u**8))/u*u**0))/((u*u*u/(u/u**(-5/4))*u)/(u/(u/(u*u*(u/(u*u**(-1/10)))/u)*u)))**(-2/5) assuming u is positive.
u**(-517/50)
Simplify ((((n*n**(-2)/n)/n)/n)**(-12)/((n*n/n**(-2/9))/(n/n**6*n*n)))/((n*n**7*n**(7/3))/(n**(2/3)/n)**(-26/3)) assuming n is positive.
n**(106/3)
Simplify ((t**1)**(2/17)/(t**6/(((t/t**(1/7)*t)/t)/t)))/((t**5*t/t**6)/((t/t**2)/t*t*t*t**(-1/3)*t)) assuming t is positive.
t**(-1913/357)
Simplify (l/(l/l**(-1)))**(-49)*(l*l**8*l)/l**(-2/13)*(l**(-7/5)/l**(-2/11))**(37/5) assuming l is positive.
l**(179248/3575)
Simplify (((w/w**(-4))/w*w)/w)/w**(3/8)*w**(18/13)/w*w*w/(w/(w*w/w**(-1/31)*w*w)) assuming w is positive.
w**(29151/3224)
Simplify ((h**(-2/7))**(-19)/((h*h**(4/3)/h)/(((h*(h*h*h/((h**(1/5)*h)/h)*h)/h)/h)/h*h*h)))/(h**1*(h/h**(-2))/h)**(-29/4) assuming h is positive.
h**(12451/420)
Simplify (f**1*f**5)**(12/7)*((f/(f/f**(-2/7))*f)**(4/7))**(-35) assuming f is positive.
f**(-4)
Simplify ((k**0*k)/(k/k**(3/7)))**(-7)*(((k/(k*k*k**(7/2))*k)/k)/k*k**(-1)/k)**(-36) assuming k is positive.
k**267
Simplify ((t*t**(2/3)/t)**18)**(2/55)*((t/t**(-1/7))/t**(4/3))**3 assuming t is positive.
t**(-52/385)
Simplify g*g/(g*g**(3/4)*g*g)*g*g**(-2/3)*g**4/g*g/(g/g**0)*g*g*g/(g/g**(2/3))*g*g/(g/g**(-2))*g**7*g*g/(g*g**(-6)) assuming g is positive.
g**(69/4)
Simplify ((((g*g*g**(-5/3))/g)/g**(-2/17))/(g*g/(g*(g*g/g**(1/2)*g*g*g)/g*g))**45)/((g*g/(g*g**(3/7)))**38)**(-49) assuming g is positive.
g**(124537/102)
Simplify ((i**(1/14)*i*i**(9/5))**10)**41 assuming i is positive.
i**(8241/7)
Simplify (d**(1/4)/(d/d**(1/6)*d))**(-1/51)*(d/d**(-10)*d/d**(-3/8)*d)**10 assuming d is positive.
d**(40937/306)
Simplify (y*y*y**(-18/11))**(-12/17)/((y**8*y)/y)**(-17/4) assuming y is positive.
y**(6310/187)
Simplify ((i**(-5/3)/(i**3/i))/(i**1)**(1/9))/((i*(i*i**(1/3))/i*i**2*i*i)/(i*i**(-2/3))**(6/7)) assuming i is positive.
i**(-556/63)
Simplify (t**(1/7)*t**(-20)*(t*t*t*t**24)/(t*t**18))**(-1/5) assuming t is positive.
t**(83/35)
Simplify (r**(-30))**1*(r/r**(-4/9))**24 assuming r is positive.
r**(14/3)
Simplify ((j**(-1)*j*j)/j)**(6/11)*(j/((((j**1/j*j)/j)/j)/j))**49*(j**(-2))**(-25/4)/(j*j**(3/2)*j*j**(-7)) assuming j is positive.
j**163
Simplify ((a**(1/4))**(5/8)*(a/((a/a**(-3))/a))/a**5)/((a/((a/(a/(a*a/a**(-1/3)))*a)/a))**(-3/8)*(a*a**(-1/3))/a*a**(-2/5)) assuming a is positive.
a**(-3173/480)
Simplify (b**4/b**(1/2)*b*b**(-2/23)*b*b*b*b*b**0/b)**(28/9) assuming b is positive.
b**(4774/207)
Simplify ((o*o/(o**(2/47)*o*o)*o*o*o*o*o**(-28))/(o**21)**(-2/43))**(-10/11) assuming o is positive.
o**(466160/22231)
Simplify (x**(5/3)*x**(2/5))/(x/(x*x/(x/((x/(x/(x/x**(-12)*x)))/x))*x)*x)**9 assuming x is positive.
x**(1786/15)
Simplify ((((i*i**0*i*i)**(1/29))**(-16))**26)**(-34/7) assuming i is positive.
i**(42432/203)
Simplify ((c*(c*c/(c*c*c**(1/3))*c)/c)**42*(c**(-7))**(5/7))**(-38) assuming c is positive.
c**(-874)
Simplify (y**(-2/11)*y**(-2/17)*(y/((y/(y*y/y**(-3/8)))/y))/y**(2/11))/((y**3/y*y**(-1/2)*y)/(((y*y**4)/y)/y*y/(y/y**(2/11)))) assuming y is positive.
y**(5349/1496)
Simplify (l**(-1))**(4/11)/(l/(l/(l**(-5)/l))*l/l**2)*(((l**(-1/6)*l*l*l)/l)/l*l)/l**(-6)*l**(-1/2)/(l/l**4) assuming l is positive.
l**(560/33)
Simplify (((h/(h**(1/3)*h))/h)/(h/((h*h**(-2/7))/h*h*h)))**(-34)*((h*h/(h*h**(-3/4)))/h**(-2/3))/((h/(h*h**(3/11)))/(h**(-6)/h)) assuming h is positive.
h**(5155/308)
Simplify ((q/q**(-1))**(-5/12))**(-34)/(q*q*(q/q**(-5)*q)/q*q**(-5)*q**(-3)/(q*q**2*q)) assuming q is positive.
q**(97/3)
Simplify ((l**(-3/4)*l/(l*l/(l/(l/(l**(-1)*l)*l)))*l**(-1)/l**2)**10)**(-42) assuming l is positive.
l**2415
Simplify (q**4*q*q**3*q*q**(-1/8)*((q*q/(((q/q**(-4/7))/q*q)/q))/q)/q)/(q**(-4)*q*q**(1/5))**(-3) assuming q is positive.
q**(-27/280)
Simplify (((y/(y**3*y))/(y/y**(-1/7)))/(y*y**3)**34)**(1/47) assuming y is positive.
y**(-981/329)
Simplify ((s/(s**1/s))**35)**(1/6)/(s/(s**(1/10)/s)*s**(6/5)*(s/s**5*s)/s**(-5)) assuming s is positive.
s**(11/15)
Simplify ((p*(p*p*p**(-2/5)*p*p)/p)**(-35)/(p/p**(-2)*p*p**(-1)*p*p))/((p**0*p)**(23/3)*p**(1/8)/(p/((p/(p/(p/p**(1/5))))/p))) assuming p is positive.
p**(-16511/120)
Simplify (((u*(u**(-22/7)/u*u)/u*u*u*u)/u)/(u/u**34*u))/(((u*u/((((u*u**(1/2))/u)/u)/u))/u)/(u**(-3/23)*u)) assuming u is positive.
u**(9411/322)
Simplify ((g*(g/(g*g**(-8/3)))/g)**(4/21)/(g**(-15)*g*g**(-15)))**(-2/71) assuming g is positive.
g**(-3718/4473)
Simplify ((v**(1/3))**5/(v**(-1)*v**(3/11)))**25 assuming v is positive.
v**(1975/33)
Simplify ((m*m**2*m)**0)**(-1/17)*((m/(m/(m*m**(-2/11))))/(m**2*m))**(4/41) assuming m is positive.
m**(-96/451)
Simplify (((p/p**(-1/16))/p**23)**(1/25))**(-2/11) assuming p is positive.
p**(351/2200)
Simplify (h*h**(1/4))**34/(h**(2/3)/h**7)*(((((h**(-9)*h)/h*h)/h*h)/h)/(h*h**(-3)*h))**(-14) assuming h is positive.
h**(965/6)
Simplify (w*w**(-1/4))**1/(w**(-3/2)/(w/w**(-1/2)))*((w*w**(-1))**(-29))**(2/3) assuming w is positive.
w**(15/4)
Simplify (((b*b**27)/(b/(b**(-39)*b)))/(((b/b**(4/9))/b)/(b**(-8)*b)))**(-15) assuming b is positive.
b**(790/3)
Simplify (((u/(u**1*u*u))/u*u**(-8/3))/(u**(-3/2)/u**(-2)))**16 assuming u is positive.
u**(-296/3)
Simplify ((t**11)**(5/3)*t**(-18)*t*t**(-13))**(6/13) assuming t is positive.
t**(-70/13)
Simplify (((o**(1/2)*o)/o)/(o*o*o**0/o))**15/((o/(o*(o/o**(1/12))/o)*(o**(-4)*o)/o)/((o*o/(o**(1/5)/o))/o**(3/2))) assuming o is positive.
o**(-137/60)
Simplify (a*(a**2*a)/a*a/(a/a**(-2/5)))/(a**2*a)**(-3/43)*(((a*a**7)/a*a)/(a*a*a**(-4)*a))/(a**7/((a*a**(4/7))/a)) assuming a is positive.
a**(8098/1505)
Simplify (((j*(j*j*(j/(j**4/j))/j)/j*j*j)/j)/(j*j**3*j)*(j*j**22)/j**10)**(18/7) assuming j is positive.
j**(144/7)
Simplify ((
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = 2*v + n*q + 4, -43*v + 41*v - 8 = 4*q for v.
0
Suppose -2566 + 514 = -12*h. Let c be ((-2)/(-3))/(38/h). Solve i + c*i + 13 = -5*w, 2*i = w - 3 for i.
-2
Let v(z) = z**2 - 23*z + 22. Let h be v(25). Suppose -h = -146*u + 143*u. Solve w + 7 = 3*n + 23, 0 = n - 5*w + u for n.
-4
Let k = -699 + 683. Let l be (33/9 - 1)/(k/(-24)). Solve -3*f - 2 - 7 = 4*m, l*m = 0 for f.
-3
Let q(m) = 2*m**2 - 2*m. Let w be ((-6)/5)/(4/10). Let k be q(w). Suppose -14*v - v + 180 = -3*v. Solve v = -5*j, -5*o - 5*j = k + 11 for o.
-4
Suppose w - 35 = -5*x, 5 = -3*w - 3*x + 38. Solve -3*n - w*y = -18, 1 = -46*n + 44*n + y for n.
1
Let l(r) = 8*r + 35. Let c be l(6). Let b = c - 81. Suppose 0 = -4*t + 2 - b. Solve t = -i + 2*a - 6, -4*a + 12 + 0 = 5*i for i.
0
Suppose -22*k - 6 + 90 + 4 = 0. Solve k*v = -t, 0 = 4*t + 19*v - 16*v for t.
0
Let l(d) = 25*d**2 + 60*d - 87. Let t(o) = -6*o**2 - 15*o + 22. Let h(v) = -2*l(v) - 9*t(v). Let u be h(-6). Solve -2*x - 3*x = 5*f + u, 3*x = 2*f - 3 for x.
-3
Suppose 38 = 28*v - 18. Suppose v*d - 58*d + 1120 = 0. Solve -d = -4*b - 4*x, 5*b + 3*x - 4*x - 7 = 0 for b.
2
Suppose -27*o = -49*o + 34*o - 36. Solve -3*t - 3*x - 8 = 10, -t + o*x = -10 for t.
-2
Let p be 15 + (-630)/40 - (-33)/12. Solve b + 5*f = -22, 4*f = p*b - 4*b - 20 for b.
-2
Suppose -7*n - 5*u = -6*n - 96, 0 = -4*n + 2*u + 384. Suppose -2*t = 30*t - n. Solve -x + 6*x = 4*h + 25, -17 = t*h - 2*x for h.
-5
Let g(a) = a**3 - 31*a**2 + 82*a + 56. Let b be g(28). Solve b = -2*l + 2*h - 0 + 6, -h = 5*l - 15 for l.
3
Let p = 56 - 57. Let x be (40/(-28))/p*(-14)/(-4). Solve 14 = 4*s - 4*b - 6, -1 = -x*s - b for s.
1
Suppose 200 - 233 = g - 5*x, -g + 4*x - 26 = 0. Solve 0 = 3*n + 5*d - g, -7*n - 6 = -6*n + 5*d for n.
4
Let n(m) be the second derivative of 27*m**5/20 - m**4/6 + m**3/6 - 11*m - 6. Let y be n(1). Solve -4*b - 8 = -2*f - y, -b + 2*f + 9 = 0 for b.
3
Suppose -4*b + 4 = -5*s, 0*b - 4*b - 3*s + 36 = 0. Suppose n = -5*u + 5, 4*u + 7 = b*n - 9*n. Solve -2*r + p = 2, -2*r + 7*r = 4*p - u for r.
-2
Let f = -486 + 489. Let n be f - 3 - 4 - -27. Solve 2*a - 19 = -3*j, j = 4*a - n + 6 for a.
5
Let t be 34/(-68)*-10*12/10. Solve 5*y = -2*a - t, -21*a + 23*a + y = -6 for a.
-3
Suppose 14*b + 28 = 7*b. Let p be ((-2)/b*0/(-2))/1. Let k be (1*4/8*p)/(-3). Solve -n - 3*v + 8 = k, -27 = -5*n - v - v for n.
5
Let h = -166 - -196. Let y be 144/h*2/(4/5). Solve -2*z = -4*b - y, 5*b - 2*z + 9 = -7 for b.
-4
Let t(v) = -v**2 - 21*v - 103. Let m be t(-9). Solve -5*q - 2*z = -10, -m*z + 25 = 15*q - 19*q for q.
0
Let r(o) = -o**3 - o**2 - 5*o - 4. Let v be r(-3). Let x be (1 - -1) + 85 + -85. Solve 2*p - 2 = -12, -v = -x*b + 5*p for b.
2
Suppose -173*b + 60 = 60. Solve b = -3*m - 15*l + 12*l - 9, 4*m = 5*l + 6 for m.
-1
Let z = 26 + -21. Suppose z*w = 8*w - 4*i + 3, -i + 3 = 0. Solve -5*q = 0, 0*q + w = -3*a + q for a.
-1
Suppose 0 = 4*k - 4 - 4. Suppose j - 4 = -5*f - 9, 3*j - k*f = 2. Solve j = 3*y - 4*m - 2, 2*y - y = 2*m for y.
2
Let n be (3 - (8 - 10)) + 6/(-2) + 1. Solve -4*h = 4*w - 36, n*h + 4*w + 5 - 36 = 0 for h.
5
Let m(r) = -19*r + 95. Let k be m(5). Suppose 3*i = 8*i + 25. Let f be (-15)/6*2/i. Solve k = 3*o + 2*j - f, -1 = -5*o - j - 3*j for o.
1
Let m(k) = -7*k**3 + 2*k. Let b be m(-1). Suppose -13*r + b*w = -14*r + 10, 5*r + 2*w - 73 = 0. Solve 5*x + 2*y + 8 = -21, -r = x + 5*y for x.
-5
Suppose -135 - 187 = -133*s - 56. Let p be 0/(4*-1) - -4. Solve 16 = p*w + 4*b, -11 = -s*w - 0*b - 5*b for w.
3
Let j(q) = 17 - 67 + 26 + 21 + q. Let a be j(6). Solve 4*w = -3*c + 6*c - a, 4*c = -12 for w.
-3
Let k be 2/(-26) + (-945)/(-455). Suppose z + 9 + 12 = k*a, -5*a - 2*z = -75. Solve 2*r = 2*g, 3*g - a - 2 = -2*r for r.
3
Suppose -96 = 13*l - 29*l. Suppose 0 = -k - 2*p + 3, 41*k = 39*k + 3*p + l. Solve -k*s + 2*v + 3*v - 15 = 0, -5*v = 0 for s.
-5
Let l be 4*8/(-64)*-42. Solve 4*a + w - 20 = 0, -4*a - 5*w + l = 1 for a.
5
Let j(a) = -a**3 - a + 2. Let g(c) = -c**3 + 10*c**2 + 10*c - 28. Let l(t) = g(t) - 2*j(t). Let k be l(-8). Solve k = -3*i + i - 5*s + 9, -i + s - 6 = 0 for i.
-3
Let b(s) be the second derivative of s**4/6 + s**3/6 + 17*s**2/2 + 47*s. Let d be (-1 + 1)*(-3)/6. Let t be b(d). Solve -5*q - g - t = 0, 0 = q + g + 1 for q.
-4
Let q = 13156 + -13130. Solve -f = -i - 1, -i = q*f - 24*f - 2 for f.
1
Suppose -4*o - l + 4*l = -640, o + 2*l = 160. Let n = o - 156. Solve -5*p - n*g + 12 = 0, 6*g - 15 = -3*p + g for p.
0
Let p be (-3)/15 + ((-40)/50 - -15). Solve 2*f - 13*j = -18*j + 11, p = 3*f + 5*j for f.
3
Let u be -2*(2 + -3 - 6). Suppose -15 = -a + 4*g - g, 2*a + 5*g = -u. Suppose l - a = 1. Solve l*i = 4*b + 3 - 15, -6 = -2*b - 3*i for b.
3
Let j(i) = -2*i**2 + 21*i + 14. Let m be j(11). Solve -11 = -2*z + z + 5*t, 0 = 5*z + t - m for z.
1
Let i be 55/20 + (-12)/(-48). Let f(b) = b**3 - b**2 - 5*b + 6. Let c be f(i). Solve 0 = 2*k + 5*v + 9, 5*k = c*v - 7*v + 21 for k.
3
Let a(b) = -b - 2. Let f be a(-6). Let v = -1187 - -1181. Let x be 4 - (v - (-5)/(10/8)). Solve t = -2*g - 1 - x, t + f = -g for g.
-3
Let q be ((-1308)/30 - 6)*(-15)/6. Suppose -8*i + 92 = -q. Solve 14 = 2*k - 3*u, 3*k + 4 = 5*u + i for k.
1
Suppose 3*h = 10 - 1. Suppose 0 = 8*y - 3*y - q - 12, -y = -5*q - 12. Suppose y = -h*k + 11. Solve -5*o + 2*t = -3 + 21, -5*o + 2 = k*t for o.
-2
Suppose 55 - 118 = -17*p + 141. Solve -p*c + 9*c + 10 = 5*d, -6 = -2*c - 4*d for c.
5
Suppose -2844 = -715*n + 241*n. Solve q - 5*k + 16 = 0, n*q - 24 = 2*q - 2*k for q.
4
Let b(h) = -2*h**3 - 8*h**2 - 18*h - 13. Let z be b(-2). Let s be 7 + -1 + 3 + -4. Solve 0 = f + t + 2, -z*f + s*t - 6 = -4*f for f.
-2
Let c = -3178 - -3193. Solve 2*g + c = -3*f, -21*g = -18*g for f.
-5
Let q = 17177 - 17175. Solve -2*a + 6 = -5*a, q*b + 4*a + 6 = 0 for b.
1
Suppose -u - 10 = 4*u + 4*d, 5*u + 2*d = -10. Let p be 2/7 + (-12)/(-7) + u. Suppose 0 = -p*h - 5*h + 5. Solve 5*z = w - h + 5, 5*w + 20 = -z for z.
0
Suppose 2*r + 1358 = -5*w, -811 = 3*w - 4*r + 9*r. Let z = -257 - w. Solve -4*k - 3*m - z = 0, -10 = -2*m + 4*m for k.
0
Let f(g) = -g**3 + 32*g**2 - 19*g - 354. Let d be f(31). Solve 2*a = -4*y - 4 + d, -3*a = 4*y - 15 for a.
1
Let b(x) = 420*x - 7079. Let q be b(17). Solve 0 = -y - 5*v - 10, 62*v = 4*y + q*v + 19 for y.
-5
Suppose 0 = -22*u + 35 + 31. Suppose 0*v = -u*v - 2*c, 2*v + 11 = -5*c. Suppose 4*o = 6*o - 8. Solve 0 = b - v, -r + b - 5 = -o*r for r.
1
Let v(a) = -35*a - 29. Let o be 5/(-10)*(-4 + 5 + 1). Let h be v(o). Let u be 2/3 + 8/6. Solve -4*r - 20 = k, 0 = 3*k - u*r - 4 - h for k.
0
Let m(r) = -5*r + 8. Let p be m(-4). Suppose 3*i + i + p = 0. Let v be 1/(-4) + (588/(-16))/i. Solve 5*f - 15 = v*z, 0*z - 2*f - 14 = 2*z for z.
-5
Let q = -11397 - -11397. Solve 3*h = 2*z + 17, -2*z + 3*z + 4*h - 19 = q for z.
-1
Suppose -5165 = 2*l - 5245. Solve -4*j - 3 = -3*m, -5*m - 3*j = -16 + l for m.
-3
Suppose 4*y + 37 = 2*f + 23, -2*f = 2*y - 8. Solve 7 = 4*m + f*r, -m - 7*r + 3*r - 1 = 0 for m.
3
Let l = 723 + -729. Let u(j) be the second derivative of j**3/6 + 9*j**2 + j. Let o be u(l). Solve -5*x = 2*g + o, x - 2*x = 2*g + 4 for g.
-1
Suppose 2*d - 5*q = -404, 6*d + 364 = 4*d - 5*q. Let g = -115 - d. Let b = 80 - g. Solve -b*y = -4*y + h - 2, 5*h = y - 6 for y.
-4
Suppose -2*p - 4*c + 56 = 0, -118*c + 14 = 5*p - 122*c. Solve -15 = 5*l, -d - 81*l = -78*l + p for d.
-1
Let y = -558 - -570. Solve y = 2*k + 4*j, -3*k + 5*j = -10 + 36 for k.
-2
Let j be 44/(-374) - 86/17*-2. Solve 0 = -2*m - j + 18, -2*g + 3*m = 12 for g.
0
Let l = 116 + -92. Let i = l + -20. Let r be ((-42)/15 - -2)*-35. Solve 2*p + r = -5*w, 3*p + 39 - 11 = -i*w for w.
-4
Suppose 74 = 4*w + 66. Let f = -16 + 18. Suppose -8 = n + w*x, -f*n - x - 4 = -n. Solve -5*k + 2*s - 27 = n, 0 = 3*k - 3*s + 2*s + 16 for k.
-5
Let n be (-6)/8*(-24)/(-18)*22/(-1). Solve c + n = -12*b + 7*b, -5*c = -2*b + 2 for c.
-2
Let v = 14927 - 14924. Solve 3*j + 23 = -v*i + 11, -4*i - 8 = 2*j for i.
0
Suppose -96 + 6 = -5*b. Let c(a) = -2*a**2 + 3 - b*a**2 + 19*a + 2 + a**3. Let f be c(19). Solve -f*h - 2 = -m + 12, 0 = -m - 3*h - 10 for m.
-1
Let y = -150 + 90. Let r be (-6)/45 - 128/y. Let x be (4 - 4)*r*(-3)/12. Solve 4*n + 2*m = -n - 7, x = n + 5*m - 17 for n.
-3
Suppose -18*y = 372 - 876. Solve -3*s = 4*p - 7*p - 21, -5*s + y = 2*p for s.
6
Let w = 56 - 51. Suppose -w*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 154*y(f). Let l(w) = 2*w**2. Determine t(l(r)).
-28*r**2
Let j(b) = 5*b**2 + 1100*b - 63. Let k(i) = 3*i. Calculate j(k(a)).
45*a**2 + 3300*a - 63
Let r(q) = -q**2. Let f = -8 - -10. Suppose 17 = f*g - g. Let t(k) = 11*k - 6. Let h(p) = 32*p - 17. Let j(c) = g*t(c) - 6*h(c). Calculate j(r(s)).
5*s**2
Let p(b) = -33678*b. Let q(r) = -7*r**2 + 1. Calculate q(p(d)).
-7939453788*d**2 + 1
Let v(g) = 0*g + 5*g - 19*g**2 + 4*g**2 - 5*g. Let o(q) = 20*q**2 + 2. Give o(v(d)).
4500*d**4 + 2
Let g(a) = -a**2. Let b(p) = 5686*p + 15. Give b(g(r)).
-5686*r**2 + 15
Let m(p) = 6561*p**2. Let g(w) = -7*w**2. Give m(g(c)).
321489*c**4
Let a(o) = o**2. Let q(f) = 167*f**2 + 12*f. Let d(m) = 1337*m**2 + 98*m. Let k(z) = 6*d(z) - 49*q(z). What is k(a(x))?
-161*x**4
Let o(g) be the first derivative of -22 + 2*g**2 + g**2 + 4 - 3. Let b(n) = 8*n**2. What is o(b(f))?
48*f**2
Let c(q) = 12*q**2. Let j(d) = 171367*d**2. Give c(j(t)).
352399784268*t**4
Let y(d) be the second derivative of 0*d**2 + 11/12*d**4 - 6*d + 0*d**3 + 0. Let l(p) = 4*p - 4*p + p**2. Calculate y(l(w)).
11*w**4
Let s(i) = -2*i**2. Suppose -6*n + 9*n = 21. Suppose -2*c + 3*b = -138, -5*c + 345 = 215*b - 218*b. Let a(q) = -c*q + n*q**2 + 69*q. Determine a(s(d)).
28*d**4
Let d(w) = -w. Let t(a) be the second derivative of -58*a**4/3 + 110*a. Give t(d(z)).
-232*z**2
Let z(b) = -11*b - 321. Let v(d) = -d. What is v(z(l))?
11*l + 321
Let q(k) = 4*k. Let l(j) = -j + 43494. Give q(l(r)).
-4*r + 173976
Let a(h) = -h**2. Let t(n) = -759*n. Let i(d) = 26*d. Let s(c) = -115*i(c) - 4*t(c). Calculate s(a(x)).
-46*x**2
Let h(n) be the first derivative of 20*n**3/3 - 1. Let g(x) = -2*x**2 + 3*x. Let v(w) = 3*w**2 - 4*w. Let y(a) = 4*g(a) + 3*v(a). What is y(h(k))?
400*k**4
Let q(b) = 3*b**2. Let g(z) be the third derivative of -29*z**5/20 - z**2 + 151. What is q(g(x))?
22707*x**4
Let f(y) = y - 186509. Let t(o) = -5*o. Determine f(t(m)).
-5*m - 186509
Let m(c) = -c + 3. Let z(j) = 2. Let q(k) = -4*m(k) + 6*z(k). Let l(r) be the second derivative of r**4/12 + 4*r. Calculate q(l(d)).
4*d**2
Let i(j) be the first derivative of 0*j + 40 + 1/2*j**2. Let n(r) be the first derivative of -2*r**2 - 1. Calculate i(n(z)).
-4*z
Let v(l) = -2*l. Let n(z) = 2083*z**2 + 52. Calculate v(n(b)).
-4166*b**2 - 104
Let s(h) = -80*h**2. Let u(j) = 728 + j + 2*j - 728. Give s(u(g)).
-720*g**2
Let o(y) be the third derivative of 5*y**4/12 + 16*y**2. Suppose 2*r - 2*m = -r + 19, -4*m - 35 = -5*r. Let t(s) = -5*s**2 - r*s**2 + 6*s**2. Determine t(o(b)).
-200*b**2
Let q(r) = -r**2. Let j(z) = 27*z + 14. Let h(g) = 164*g + 91. Let y(i) = -6*h(i) + 39*j(i). Give q(y(b)).
-4761*b**2
Let b(a) = -a**2. Let n(f) be the third derivative of f**5/6 + f**3/2 + 10*f**2. Let m be n(-3). Let l(s) = 2*s + 93 - m. Calculate b(l(u)).
-4*u**2
Let m(a) = 2*a**2. Suppose 5*l + 3 = -3*t, -3 = -l - 0*t + 3*t. Let x(h) = l*h**2 + 6*h**2 - 7*h**2. Give m(x(f)).
2*f**4
Let d(s) = 158*s. Let u(b) = 164 - 67 - 51 - 46 - 2*b. Give u(d(l)).
-316*l
Let o(k) be the third derivative of -21/10*k**5 - 11*k**2 + 0*k**3 + 0*k**4 + 0 + 0*k. Let p(l) = l**2. What is o(p(w))?
-126*w**4
Let a(l) be the third derivative of -l**5/60 - 2*l**2 + 16*l. Suppose -15 = -3*q + 3. Let x(m) = 6 + 6*m + m - q. Determine x(a(b)).
-7*b**2
Let a(z) = z**2. Let o(h) = -1555624*h. Give o(a(y)).
-1555624*y**2
Let o(p) = 3*p. Let z(c) be the third derivative of -c**5/60 + 13*c**3/6 + 32*c**2 + 2. Give o(z(d)).
-3*d**2 + 39
Let z(o) = -o**2. Let j(w) = -20*w + 10*w - 17*w**2 + 14*w. Let u(v) = -18*v**2 + 3*v. Let a(h) = -3*j(h) + 4*u(h). Calculate a(z(m)).
-21*m**4
Let z(w) = -2 + 15*w**2 + 2 + 0*w**2. Let t(q) = 61*q - 125*q + 61*q. What is t(z(i))?
-45*i**2
Let t(x) = 5*x. Let v = -167 - -167. Let n(g) be the second derivative of v - 10*g + 0*g**2 + 1/6*g**3. Give n(t(d)).
5*d
Let q(o) be the third derivative of -o**5/30 + 2*o**2. Let i(z) be the first derivative of -11*z**2/2 + 3*z - 454. What is q(i(v))?
-242*v**2 + 132*v - 18
Let v(q) = 39*q**2. Let z(y) = -y. Let w(j) = -j. Let h(m) = 5*w(m) - 3*z(m). Determine h(v(o)).
-78*o**2
Let q(r) = 16*r**2. Suppose 4*w = -a + 4*a - 57, 0 = 5*a + 25. Let y = -16 - w. Let l(h) = -14*h - 9*h + 23*h - y*h**2. Give l(q(t)).
-512*t**4
Let h(x) = 93*x**2 - 47*x**2 - 44*x**2. Let q be ((-4)/10)/(-1)*5. Let g(c) = -c - q*c - 4*c + 5*c. Determine g(h(d)).
-4*d**2
Suppose -5*w + 24 = 4*t, -5*t + 5*w - 11 = w. Let m be (t - 1) + (2 - 0). Let j(d) = -2*d**m - 2*d**2 + 3*d**2. Let q(s) = 2*s**2. Calculate q(j(a)).
2*a**4
Let d(t) = 2*t**2 - 18*t - 126. Let s(i) = i. Give d(s(p)).
2*p**2 - 18*p - 126
Let p(q) = -47*q. Let s(z) = -2*z**2 + 280*z. Determine s(p(d)).
-4418*d**2 - 13160*d
Let c(s) = -29*s. Let n(j) = -189361*j**2. Calculate c(n(o)).
5491469*o**2
Let m(d) = -18*d**2. Let i(v) = v + 47. Let p be i(-24). Let n(z) = 16*z**2 - p*z**2 + 10*z**2. What is n(m(c))?
972*c**4
Let r(n) = -n. Let k(v) = 24 + 21 - 41 + 12*v**2. Give r(k(t)).
-12*t**2 - 4
Let v(y) be the second derivative of y**4/12 - 2*y. Suppose -61 = -5*i + 4*g, 5*i - 5*g = 4*i + 29. Let m(u) = -i*u - 13*u - 11*u + 27*u. Calculate v(m(t)).
36*t**2
Let d(h) = h + 13. Let w(r) = -2. Let p(k) = 6*d(k) + 39*w(k). Let q(s) be the first derivative of -s**2/2 + 54. What is q(p(t))?
-6*t
Let k(y) = -1 + 7*y - y + 1 - 8*y. Let q(d) = -11*d. Calculate q(k(b)).
22*b
Let n(c) = -25 + 25*c + 44 - 17. Let k(x) = -4*x**2 + 3*x - 3. Let q(t) = -17*t**2 + 13*t - 13. Let y(m) = -26*k(m) + 6*q(m). What is y(n(s))?
1250*s**2 + 200*s + 8
Let g(l) = -25*l. Let i(k) = 299*k**2 + k + 3. Give g(i(v)).
-7475*v**2 - 25*v - 75
Let b(v) be the first derivative of v**3 - 328. Let k(w) = 21*w. Give b(k(z)).
1323*z**2
Let d(z) = -5*z - 2. Suppose -360 = -4*g - 2*o, -69 = -g + o + 27. Let y(k) = -g - k + 92. What is y(d(t))?
5*t + 2
Let r(x) = -221*x**2 - 65*x - 130. Let m(t) = -10*t**2 - 3*t - 6. Let f(g) = -65*m(g) + 3*r(g). Let a(z) = -2*z**2. Give f(a(l)).
-52*l**4
Let w(o) be the third derivative of o**8/20160 + 41*o**5/60 + 8*o**2. Let m(a) be the third derivative of w(a). Let s(q) = 37*q. Give s(m(v)).
37*v**2
Let j(m) = -5097*m**2. Let i(d) = 2*d. Give i(j(x)).
-10194*x**2
Let w(b) = 243*b**2. Let n(k) = 17*k + 366. What is n(w(y))?
4131*y**2 + 366
Suppose -n + 10 = 4*n. Let d(y) = y - y + 14*y**2 - 15*y**n. Let o(v) be the third derivative of v**5/30 + 2*v**2. Give o(d(h)).
2*h**4
Let c(y) = 17*y**2. Let z(u) = 3*u - 4. Let m(h) = h - 1. Let n(f) = -4*m(f) + z(f). Give c(n(p)).
17*p**2
Let z be -4 + 9 + -5 + 22. Let q(v) = 20*v - z*v + 5*v. Let s(u) = 3*u + 2*u - 2*u. Determine q(s(n)).
9*n
Let c(d) = -2629*d**2. Let j(a) = -12*a**2. Give j(c(p)).
-82939692*p**4
Let k(f) = -18*f**2 - 2*f + 2*f + 62*f**2. Let z(p) be the first derivative of -p**3/3 - 88. Determine k(z(w)).
44*w**4
Let q(x) = -5*x. Let d(r) be the second derivative of 0 - 1/12*r**4 - 11*r + 0*r**3 + 0*r**2. What is d(q(u))?
-25*u**2
Let f(o) = -5521*o. Let j(d) = 44*d**2. Calculate f(j(i)).
-242924*i**2
Let n(b) = 53647*b**2. Let h(u) = -4*u + 1. What is h(n(y))?
-214588*y**2 + 1
Let o(u) = -7494 + 7494 + 2*u. Let b(p) be the second derivative of 5*p**3/3 + p. What is o(b(k))?
20*k
Let i(t) = -2*t. Let w(a) = -7*a + 6885. What is w(i(m))?
14*m + 6885
Let l(y) = 15232*y. Let q(d) = 6*d**2. Give q(l(a)).
1392082944*a**2
Let d(k) be the third derivative of -k**5/30 - 671*k**2. Let g(v) = 9*v + 2. Let j(o) = -91*o - 21. Let i(w) = -21*g(w) - 2*j(w). Determine i(d(s)).
14*s**2
Let x(i) be the first derivative of 4*i**3/3 + 241. Let q(h) = -3*h**2. Determine q(x(k)).
-48*k**4
Let m(j) = 2*j. Let n(o) be the second derivative of 17*o**4/3 - 6*o - 4. What is n(m(b))?
272*b**2
Let a(b) = 2*b**2 + 3. Let w be 2/(-4) - 33/6. Let r(x) = 3 + 0*x**2 + 5*x**2 - 1 - 4*x**2. Let l(c) = w*r(c) + 4*a(c). Let t(o) = 2*o. Determine t(l(k)).
4*k**2
Let y(c) be the second derivative of c**3/6 + 84*c + 1. Let n(q) = 20*q**2. What is n(y(p))?
20*p**2
Let b(z) = 8*z**2. Let a(i) = -502 - 502 + 1002 - 45*i. Calculate a(b(g)).
-360*g**2 - 2
Suppose 6*u + 10 = -2. Let y(s) = -21*s**2 + 2*s. Let q(b) = -651*b**2 + 63*b. Let g(r) = u*q(r) + 63*y(r). Let d(a) = a**2. Give d(g(o)).
441*o**4
Let o(w) = -243*w. Let y(t) = 234*t**2. Give o(y(z)).
-56862*z**2
Let n = -937 + 937. Let s(
|
{
"pile_set_name": "DM Mathematics"
}
|
-24, 4/3
Solve -f**4/7 + 13*f**3/7 + 82*f**2/7 + 20*f + 72/7 = 0 for f.
-2, -1, 18
Factor -22*f**2/7 + 2*f + 36/7.
-2*(f + 1)*(11*f - 18)/7
Find a such that 2*a**2 - 4*a - 30 = 0.
-3, 5
Solve -5*j**2 + 35*j - 60 = 0.
3, 4
Find i, given that -2*i**2/9 - 820*i/9 - 5642/9 = 0.
-403, -7
Solve 6*y**4/7 + 466*y**3/7 + 4772*y**2/7 + 10104*y/7 + 4752/7 = 0 for y.
-66, -9, -2, -2/3
Factor 4*o**2 + 196*o + 376.
4*(o + 2)*(o + 47)
Solve 4*p**3 + 8*p**2 - 116*p - 120 = 0 for p.
-6, -1, 5
Find w, given that -27*w**4/7 + 1026*w**3/7 - 1980*w**2/7 + 1304*w/7 - 288/7 = 0.
2/3, 36
Solve -n**5/3 + 2*n**4 + 7*n**3/3 - 20*n**2 = 0 for n.
-3, 0, 4, 5
Determine d, given that -d**5 - 5*d**4 - d**3 + 17*d**2 + 22*d + 8 = 0.
-4, -1, 2
Factor 3*y**2/4 + 69*y/2 + 999/4.
3*(y + 9)*(y + 37)/4
What is p in -p**4/2 + 31*p**3 + p**2/2 - 31*p = 0?
-1, 0, 1, 62
Suppose 3*o**4 + 147*o**3 + 2439*o**2 + 14433*o + 12138 = 0. What is o?
-17, -14, -1
Solve 4*x**4 - 172*x**3 - 928*x**2 - 1520*x - 768 = 0 for x.
-2, -1, 48
Factor -2*d**4/11 + 2*d**3 - 78*d**2/11 + 90*d/11.
-2*d*(d - 5)*(d - 3)**2/11
Factor -4*m**4 - 8*m**3 + 8*m + 4.
-4*(m - 1)*(m + 1)**3
Determine z, given that 20*z**5 - 85*z**4 - 35*z**3 + 190*z**2 + 120*z = 0.
-1, -3/4, 0, 2, 4
Factor -4*p**4 + 4*p**3 + 4*p**2 - 4*p.
-4*p*(p - 1)**2*(p + 1)
Factor -2*q**2 + 84*q - 160.
-2*(q - 40)*(q - 2)
Find i, given that i**3/6 - 76*i**2/3 + 2888*i/3 = 0.
0, 76
Suppose -12*c**2 + 92*c - 56 = 0. Calculate c.
2/3, 7
Factor -5*a**2/3 + 170*a/3 + 175/3.
-5*(a - 35)*(a + 1)/3
Solve 2*g**2/5 - 66*g/5 = 0.
0, 33
Solve y**3/3 - y**2 + 2*y/3 = 0 for y.
0, 1, 2
Solve 2*w**5/3 + 100*w**4/3 + 1528*w**3/3 + 5936*w**2/3 - 6272*w = 0.
-24, -14, 0, 2
Suppose 80*r**5 + 200*r**4 + 165*r**3 + 50*r**2 + 5*r = 0. Calculate r.
-1, -1/4, 0
Factor 5*o**2/3 - 25*o/3.
5*o*(o - 5)/3
Factor -2*r**4 + 84*r**3 + 190*r**2 - 624*r + 352.
-2*(r - 44)*(r - 1)**2*(r + 4)
Determine x, given that 3*x**5/5 - 93*x**4/5 + 858*x**3/5 - 1542*x**2/5 - 1209*x - 3549/5 = 0.
-1, 7, 13
Suppose -484*j**5 + 5412*j**4 - 12588*j**3 - 15268*j**2 + 3072*j - 144 = 0. What is j?
-1, 1/11, 6
Suppose -2*q**5 - 284*q**4 + 24*q**3 + 3376*q**2 - 4544*q = 0. Calculate q.
-142, -4, 0, 2
Factor 324*c**3/7 + 31410*c**2/7 + 13912*c/7 + 1544/7.
2*(2*c + 193)*(9*c + 2)**2/7
Factor -f**5/5 - f**4/5 + 2*f**3/5 + 2*f**2/5 - f/5 - 1/5.
-(f - 1)**2*(f + 1)**3/5
Suppose 9*x**5 + 322*x**4 - 1854*x**3 + 2952*x**2 - 1675*x + 246 = 0. What is x?
-41, 2/9, 1, 3
Find j, given that -8*j**3/3 + 1466*j**2/9 - 122*j/9 = 0.
0, 1/12, 61
Solve -6*r**2/11 + 606*r/11 + 1872/11 = 0.
-3, 104
Factor w**4/8 + 39*w**3/4 + 1517*w**2/8 - 39*w - 1521/2.
(w - 2)*(w + 2)*(w + 39)**2/8
Factor -3*x**3/4 - 51*x**2/4 + 3*x + 51.
-3*(x - 2)*(x + 2)*(x + 17)/4
Solve -4*w**4/5 - 31*w**3/5 + 12*w**2/5 + 31*w/5 - 8/5 = 0.
-8, -1, 1/4, 1
Factor -3*g**3 + 15*g**2 + 132*g + 180.
-3*(g - 10)*(g + 2)*(g + 3)
Solve -3*l**2 - 33*l - 30 = 0.
-10, -1
Determine b so that -2*b**3 + 8*b = 0.
-2, 0, 2
Factor -z**3/4 - z**2 - 3*z/4.
-z*(z + 1)*(z + 3)/4
Find r such that 6*r**4/7 - 260*r**3/7 + 2726*r**2/7 + 2024*r/7 - 968/7 = 0.
-1, 1/3, 22
Factor 5*o**4 - 4*o**3 - 11*o**2 - 2*o.
o*(o - 2)*(o + 1)*(5*o + 1)
Factor -q**2 + 17*q.
-q*(q - 17)
Find k, given that 4*k**5 - 32*k**4 - 12*k**3 + 248*k**2 + 224*k = 0.
-2, -1, 0, 4, 7
Factor 4*k**3/5 - 912*k**2 + 36288*k/5 - 72448/5.
4*(k - 1132)*(k - 4)**2/5
Determine f so that f**5/3 + 4*f**4/3 - 14*f**3 + 32*f**2/3 + 41*f/3 - 12 = 0.
-9, -1, 1, 4
Suppose t**4/2 - 6*t**3 + 10*t**2 = 0. Calculate t.
0, 2, 10
Factor 5*o**4 - 30*o**3 - 95*o**2 + 120*o.
5*o*(o - 8)*(o - 1)*(o + 3)
Factor -x**4/2 - 5*x**3/2 - 3*x**2/2 + 5*x/2 + 2.
-(x - 1)*(x + 1)**2*(x + 4)/2
Factor 3*o**4 + 128*o**3/3 + 28*o**2/3.
o**2*(o + 14)*(9*o + 2)/3
Factor -5*n**3 + 17*n**2 - 16*n + 4.
-(n - 2)*(n - 1)*(5*n - 2)
Find w, given that -17298*w**2 + 744*w - 8 = 0.
2/93
Factor -u**3/4 - 45*u**2/2 - 375*u - 1750.
-(u + 10)**2*(u + 70)/4
Determine f, given that -f**5 - 5*f**4 + 7*f**3 + 41*f**2 + 30*f = 0.
-5, -2, -1, 0, 3
Solve 2*v**3 - 220*v**2 + 6050*v = 0 for v.
0, 55
Factor 3*y**4 - 138*y**3 - 435*y**2 - 294*y.
3*y*(y - 49)*(y + 1)*(y + 2)
Suppose 50*z**2/7 - 80*z/7 + 32/7 = 0. Calculate z.
4/5
Suppose 10*v**4/3 - 154*v**3/3 - 1600*v**2/3 + 9064*v/3 - 1120 = 0. What is v?
-10, 2/5, 4, 21
Let 24*a**5 + a**4 = 0. What is a?
-1/24, 0
Factor u**2/2 + 199*u/2 - 510.
(u - 5)*(u + 204)/2
Factor -s**3 - 55*s**2 - 303*s - 441.
-(s + 3)**2*(s + 49)
Factor -5*l**3 - 60*l**2 + 1280.
-5*(l - 4)*(l + 8)**2
Factor 2*t**4 - 4*t**3 - 6*t**2 + 8*t + 8.
2*(t - 2)**2*(t + 1)**2
Factor 3*x**2 - 18*x - 48.
3*(x - 8)*(x + 2)
Let 3*i**4/7 + 33*i**3/7 - 3*i**2/7 - 33*i/7 = 0. Calculate i.
-11, -1, 0, 1
Let -o**3/4 + 3*o**2/2 + o/4 - 3/2 = 0. Calculate o.
-1, 1, 6
Factor -3*p**2 - 69*p + 420.
-3*(p - 5)*(p + 28)
Factor 2*i**4 + 4*i**3 - 4*i - 2.
2*(i - 1)*(i + 1)**3
Find g, given that -g**2 - 4948*g - 6120676 = 0.
-2474
Suppose -2*v**2 + 8868*v - 9830178 = 0. What is v?
2217
Solve 4*a**3/9 + 472*a**2/9 + 4940*a/3 + 5776 = 0.
-57, -4
Solve c**4 - 5*c**3 + 9*c**2 - 7*c + 2 = 0 for c.
1, 2
Solve 15*k**4 - 43*k**3 - 21*k**2 + 43*k + 6 = 0.
-1, -2/15, 1, 3
Factor -d**4 - 7*d**3 - 5*d**2 + 7*d + 6.
-(d - 1)*(d + 1)**2*(d + 6)
Find b such that -3*b**2/8 - 2079*b/8 - 519/2 = 0.
-692, -1
Factor 36*y**2/5 - 2764*y/5 - 616/5.
4*(y - 77)*(9*y + 2)/5
Factor -2*m**5/3 - 108*m**4 - 4688*m**3 - 76768*m**2/3 - 49504*m - 32448.
-2*(m + 2)**3*(m + 78)**2/3
Find l such that -l**3/2 - 9*l**2 + 19*l/2 = 0.
-19, 0, 1
Determine p so that -p**5/3 - 7*p**4 - 116*p**3/3 - 32*p**2 = 0.
-12, -8, -1, 0
What is t in -22*t**2 + 372*t + 34 = 0?
-1/11, 17
Find a such that a**2/4 + 1415*a/2 - 2831/4 = 0.
-2831, 1
Determine b, given that -2*b**2 - 68*b = 0.
-34, 0
Find v, given that 5*v**5 - 120*v**4 + 585*v**3 - 830*v**2 + 360*v = 0.
0, 1, 4, 18
Factor b**5/6 + 13*b**4/6 + 11*b**3/2 + 31*b**2/6 + 5*b/3.
b*(b + 1)**3*(b + 10)/6
Let 4*u**3 + 48*u**2 + 108*u = 0. Calculate u.
-9, -3, 0
Factor 7*i**3 + 24201*i**2 + 6914*i.
i*(i + 3457)*(7*i + 2)
Factor 2*k**3/17 - 76*k**2/17 + 590*k/17 + 2508/17.
2*(k - 22)*(k - 19)*(k + 3)/17
Let 4*v**4 - 96*v**3 + 476*v**2 = 0. What is v?
0, 7, 17
Suppose -3*f**2 - 6060*f - 3060300 = 0. What is f?
-1010
What is l in -l**5/4 - 3*l**4 - 53*l**3/4 - 53*l**2/2 - 24*l - 8 = 0?
-4, -2, -1
Determine v so that 9*v**3 - 930*v**2 - 2553*v + 954 = 0.
-3, 1/3, 106
Determine y so that -3*y**4 + 81*y**3 - 585*y**2 + 507*y = 0.
0, 1, 13
What is x in -3*x**3 + 138*x**2 - 393*x + 258 = 0?
1, 2, 43
Find y such that -148*y**4 - 736*y**3 + 612*y**2 + 2944*y - 80 = 0.
-5, -2, 1/37, 2
What is k in 108*k**5/7 + 72*k**4/7 - 3345*k**3/7 + 2301*k**2/7 + 1530*k + 5400/7 = 0?
-6, -5/6, 3, 4
Find d, given that -3*d**2 - 51*d - 156 = 0.
-13, -4
Factor -k**2 + 192*k - 9216.
-(k - 96)**2
Factor -5*r**3 + 55*r**2 - 40*r - 100.
-5*(r - 10)*(r - 2)*(r + 1)
Find z, given that z**2/3 - 58*z/3 + 19 = 0.
1, 57
Factor -3*m**5 + 18*m**4 + 189*m**3 - 1176*m**2.
-3*m**2*(m - 7)**2*(m + 8)
Factor -b**2/2 + 1036*b - 536648.
-(b - 1036)**2/2
Factor -4*k**5 + 36*k**3.
-4*k**3*(k - 3)*(k + 3)
Determine b, given that b**3/10 - 11*b**2/5 - 73*b/10 - 5 = 0.
-2, -1, 25
What is z in 3*z**2/8 - 57*z/2 + 108 = 0?
4, 72
Factor 2*u**3/9 - 82*u**2/9 - 2162*u/9 + 2242/9.
2*(u - 59)*(u - 1)*(u + 19)/9
Factor -505*y**2 - 10*y.
-5*y*(101*y + 2)
Find d such that 3*d**2/8 + 675*d/4 + 336 = 0.
-448, -2
Factor -2*c**3 + 46*c**2 - 180*c.
-2*c*(c - 18)*(c - 5)
Suppose 9*d**2 - 159*d + 102 = 0. What is d?
2/3, 17
Determine s so that s**5/10 + 63*s**4/10 + 131*s**3 + 4913*s**2/5 + 3885*s/2 - 6125/2 = 0.
-25, -7, 1
Find p such that -3*p**5 + 309*p**4 - 8106*p**3 + 7494*p**2 + 8109*p - 7803 = 0.
-1, 1, 51
Factor -7*q**5/4 - 3*q**4/4.
-q**4*(7*q + 3)/4
Solve 3*x**3 + 387*x**2 + 12285*x - 12675 = 0 for x.
-65, 1
Determine d, given that -2*d**4/23 - 44*d**3/23 + 144*d**2/23 - 148*d/23 + 50/23 = 0.
-25, 1
Factor -3*d**4/4 + 33*d**3/2 - 45*d**2 + 87*d/2 - 57/4.
-3*(d - 19)*(d - 1)**3/4
Factor -q**3/3 + 7*q**2/3 + 14*q/3 - 40.
-(q - 6)*(q - 5)*(q + 4)/3
Determine f so that -3*f**3 + 24948*f**2 - 69155856*f + 63900010944 = 0.
2772
Factor -4*i**3 + 176*i**2 - 1748*i - 4232.
-4*(i - 23)**2*(i + 2)
Factor -4*m**5/7 - 1384*m**4/7 + 4188*m**3/7
|
{
"pile_set_name": "DM Mathematics"
}
|
s 13 a factor of p?
False
Does 17 divide (21 - 37)/(2/(8/(-1)))?
False
Suppose -6*b + 8 = -10*b. Does 9 divide 2*(1 - 7/b)?
True
Suppose 0 = w + 4 - 1. Let x be (-2 + 4)/((-16)/(-8)). Does 7 divide x - (-3 + (w - 0))?
True
Suppose 0 = 3*h - 30. Is 8 a factor of (1620/(-75))/((-3)/h)?
True
Suppose 0 = 39*f - 38*f - 9. Let m(w) = 31*w - 27. Is 63 a factor of m(f)?
True
Suppose -4 = -2*l + 22. Suppose 7*f - 293 = -l. Does 14 divide f?
False
Let a = -7 + 4. Let y be 2*2 - (-5 - a). Is (3/y)/(4/104) even?
False
Let x(s) = -4*s + 5*s - 10*s - 8 - 7*s. Is x(-5) a multiple of 12?
True
Let g = -150 - -230. Let r(h) = -4*h - 64. Let o be r(-17). Is 0 + g - 0/o a multiple of 29?
False
Is 91 + 5*-1*(-252)/(-180) a multiple of 28?
True
Suppose -64*c + 82*c = 972. Is 6 a factor of c?
True
Let w(m) = -m**3 - 4*m**2 - 2*m - 4. Let n(y) = -y**3 - 3*y**2 - 4. Let v be n(-3). Let z be w(v). Let t(h) = 3*h**2 - 6*h + 5. Does 17 divide t(z)?
False
Suppose 2*c = -2*w - 14, 0 = -c - 3. Let z(q) = -2*q + 4 + q**2 + 3*q - 3. Is 6 a factor of z(w)?
False
Let r be 6*(-5)/(-15) + 2. Let a(h) = 11*h**2 - 8*h + 3. Is 21 a factor of a(r)?
True
Suppose -3 + 4 = -5*m - h, 2*m = -5*h + 18. Let n be (2 - 3)/(m/2). Suppose 3*x = -n*x - 4*q + 56, -33 = -3*x - 3*q. Is x a multiple of 12?
True
Let b(u) = 16*u - 7. Let c = 26 - 24. Is b(c) a multiple of 11?
False
Suppose g - 5 = -0. Suppose -7 = g*y + 3. Does 10 divide (-119)/y + (-1)/(-2)?
True
Let j(t) be the second derivative of t**5/20 - t**4/2 - t**3/6 + 5*t**2/2 - 8*t. Let g be j(6). Is 17 a factor of g/(4 + (-276)/68)?
True
Let l(a) be the second derivative of -a**3/6 - 4*a**2 + 4*a. Let i be l(4). Let d = i - -26. Is d a multiple of 3?
False
Let n(p) = -3*p**2 + 10*p - 1. Let v(j) = 3*j**2 - 9*j + 2. Let x(l) = 5*n(l) + 6*v(l). Does 16 divide x(5)?
False
Let k(w) = 4*w**3 + 53*w**2 - 13*w + 7. Is 69 a factor of k(-13)?
True
Let w(k) = -2*k**2 - 27*k - 10. Let o be w(-15). Let r = o + 221. Is 13 a factor of r?
False
Is 9 a factor of (-3910)/(-4) - 196/56?
False
Let w = -384 + 618. Is w a multiple of 3?
True
Suppose 0 = 5*l - 9*l + 180. Suppose -4*j - 152 = -6*j. Let i = j - l. Is i a multiple of 14?
False
Let k be (-3 - -7)*(-14)/(-8). Suppose 191 = 5*v + 4*n, v + 2*n - 30 - k = 0. Let b = 5 + v. Is b a multiple of 11?
True
Let f(q) = -2*q**2 - 2*q - 1. Let d be f(-2). Let b(t) = -t**2 + t. Let h(c) = c**3 - 7*c**2 + 11*c - 2. Let w(p) = d*b(p) + h(p). Is 27 a factor of w(4)?
True
Suppose 0*r - 3*x = 4*r + 268, x = 4*r + 284. Let f be -4 + 0 + r/(-7). Does 16 divide (f/9)/((-2)/(-144))?
True
Let a(i) = 6*i**2 - 37*i + 259. Is a(7) a multiple of 14?
True
Suppose 4*z - 2*z - 683 = -3*m, 0 = -4*m + 12. Is z a multiple of 3?
False
Suppose -36*i + 39270 = -i. Is i a multiple of 11?
True
Suppose 588 = 2*s + 5*z, -894 = -3*s + 2*z - 31. Is 29 a factor of s?
False
Let q be ((-4)/(-3) + -2)/((-4)/18). Suppose 0 = -s + q*s - 96. Is 12 a factor of s?
True
Let b be ((-4)/(-8))/(1/34). Suppose -2*u = -3*u + 5*t + b, 0 = u + 4*t - 8. Does 12 divide (u/(-15))/(-1)*60?
True
Suppose -985 + 1240 = 3*x. Does 44 divide x?
False
Let a = -30 - -22. Let h(v) = -2*v + 18. Let b(y) = -5*y + 55. Let s(i) = a*h(i) + 3*b(i). Is 21 a factor of s(19)?
False
Let u be -3 + 0 + 3 + -143. Let w be 22/u + 368/26. Suppose -3*j - 4*h + w = -36, 0 = 3*h - 15. Is 10 a factor of j?
True
Let o(m) = 4*m**3 + 2*m**2 + 8*m - 3. Let t(v) = 5*v**3 + 2*v**2 + 9*v - 3. Let u(i) = -6*o(i) + 5*t(i). Let h be u(3). Let q = h + 9. Does 4 divide q?
True
Suppose -2*l - 2 = -3*v, v - 9 = -3*l - 1. Let g(m) = 2*m**2 + 1. Is 9 a factor of g(v)?
True
Let p(a) = 5*a - 10. Suppose 5 = 5*m - 6*m. Let w be p(m). Let v = w - -73. Is 23 a factor of v?
False
Suppose -8*l + 2*l + 852 = 0. Does 21 divide l?
False
Let l be 11/4 + (-6)/8. Let v(y) = 10*y**3 - y**2 - 2*y + 2. Let w be v(l). Suppose 3*o - w = -8. Is 5 a factor of o?
False
Is 738 - (2 + -2 + -2 + 4) a multiple of 18?
False
Let j be 33/6 + 3/(-6). Suppose 3*q - 7*q = 4*m + 16, -3*m + 20 = -j*q. Is 6 a factor of 12/q + (-22)/(-2)?
False
Let d be (3/3)/((12/20)/3). Suppose -3*h + 2 + 4 = 0. Suppose d = 5*g, 4 - 60 = -m + h*g. Is 21 a factor of m?
False
Let h(q) = 87*q - 386. Does 7 divide h(15)?
False
Is ((-6)/63*7)/(2/(-618)) a multiple of 6?
False
Let k = -291 - -157. Let j = k - -221. Is j a multiple of 24?
False
Let p(v) = -2*v + 19. Let q be p(11). Is 20 a factor of q/(6/344)*1/(-2)?
False
Is 17 a factor of ((-8)/3 - (-7844)/111)*34?
True
Is (-236265)/(-75) - (-2)/(-10) a multiple of 18?
True
Let y be 18/15*(-25)/(-10). Suppose 2*v = y*v - 2. Suppose 2*o - 66 = -v*x, 4*x = 3*o - x - 75. Is 10 a factor of o?
True
Suppose 0 = 4*p + 34 - 74. Suppose p*t - 504 = 3*t. Is t a multiple of 18?
True
Let b(l) = 8*l**2 - 2*l + 2. Let x be b(1). Suppose -x*u = -0*u - 392. Is u a multiple of 21?
False
Suppose 0*r - 5*r + 110 = 0. Does 14 divide (r + -13)/((-3)/(-70))?
True
Let y be (-3 - (-378)/35) + 2/10. Let o(l) = 6*l**2 - 11*l + 7*l**2 - 3*l**2 - l**3 + 6. Does 14 divide o(y)?
False
Let s(z) = -z**3 + 11*z**2 - 5*z + 9. Let x be s(10). Let y = 87 - x. Is y a multiple of 7?
True
Let c be ((-196)/10)/(5/(-25)). Let n = 159 - c. Is n a multiple of 17?
False
Is 18 a factor of -7 + 232/32 + (-20014)/(-8)?
True
Suppose -282 = 3*m + 4*q, 2*m - 376 = 6*m + 4*q. Let r = -60 - m. Is r a multiple of 34?
True
Let y(h) be the second derivative of h**3/2 - 7*h**2/2 + 6*h. Let l be y(3). Is 25 a factor of l - (-2 - (-1 + 49))?
False
Let d = 431 - -136. Does 9 divide d?
True
Let q be 0 + 6/((-12)/(-10)). Suppose q*b - 521 = 809. Suppose -3*o + b - 62 = 0. Does 11 divide o?
False
Let i(k) be the first derivative of k**2 + 2*k - 4. Let y be i(0). Suppose 60 = 3*u + y*u. Is u a multiple of 5?
False
Suppose -4*a - 726 = -2442. Does 12 divide a?
False
Let i = -11 - -10. Let g be i/((0 - 2) + 1). Let p(h) = 30*h**2 - h. Is 4 a factor of p(g)?
False
Suppose 62 = -2*h + 4*x, -5*x + 92 + 6 = -3*h. Let d = h - -88. Let b = d - -10. Is 26 a factor of b?
False
Let s = -353 + 405. Is s a multiple of 52?
True
Is 7 a factor of 1 + 1 - -212 - -4?
False
Suppose -19*o + 2070 = -4*o. Is 23 a factor of o?
True
Let m(r) = -r**3 - 5*r**2 - 2*r + 4. Let g be m(-6). Let k = 2 - g. Is 25 a factor of 4/(-2)*k/4?
True
Suppose -3048 = -5*d + 3*b, d - 14*b - 632 = -19*b. Does 14 divide d?
False
Let w(o) = -38*o - 797. Is 43 a factor of w(-47)?
True
Let t = 142 + -237. Let b(n) = 6*n**2 - 13*n + 24. Let r be b(6). Let c = r + t. Does 11 divide c?
False
Let m = 220 - 156. Suppose 3*n = -n + m. Does 4 divide n?
True
Let r(m) = 3*m**3 + 28*m**2 - 25*m + 9. Let s(z) = 4*z**3 + 42*z**2 - 38*z + 14. Let j(u) = -7*r(u) + 5*s(u). Is 41 a factor of j(6)?
True
Let x(g) = -40*g**3 - g**2. Let n be x(-1). Suppose -11 = 5*t + n. Is 26/(-3)*(t - -1) a multiple of 21?
False
Let s be (-4)/(24/3)*106. Let v = s + 105. Is 26 a factor of v?
True
Let j = 10 - 8. Suppose 60 = 7*l - j*l. Is 6 a factor of 18/l*2*2?
True
Let h be 4/(-7)*686/(-28). Let w(g) = -g**2 + 19*g + 21. Is 20 a factor of w(h)?
False
Let o be (-4)/(5/45*6). Let p(d) = -3*d**3 - 5*d**2 - 2*d + 2. Let f(n) = -7*n**3 - 10*n**2 - 4*n + 3. Let m(s) = -2*f(s) + 5*p(s). Is 26 a factor of m(o)?
True
Let v = 1549 - 703. Is v a multiple of 14?
False
Suppose -45 - 10 = 11*m. Does 11 divide (-984)/(-30) + (-1)/m?
True
Suppose 5*q = c + 53, q + c - 3 - 4 = 0. Let j(f) = 10*f - 16. Does 8 divide j(q)?
False
Let n be (-8)/6 + (-6228)/(-54). Is 17 a factor of n/24 + -4 + 637/4?
False
Let l = 39 - 24. Let m = l - -17. Is m a multiple of 8?
True
Let p = -275 + 445. Is 18 a factor of p?
False
Suppose 443*l + 1050 = 445*l. Is l a multiple of 15?
True
Let x(k) = -k**3 - k + 1. Let m(u) = -6*u**3 - 3*u**2 - 14*u - 1. Let l(z) = m(z) - 5*x(z). Does 32 divide l(-6)?
False
Let k be (-2)/(-12) - (-161)/42. Suppose k*o = 113 + 19. Does 33 divide o?
True
Suppose 2*p + 5 = 11. Suppose p*f = -2*u + 45, -4*u = 5*f + 47 - 136. Is u a multiple of 7?
True
Suppose 14*b - 4875 = -b. Does 13 divide b?
True
Let j be 3/(-6)*(-120)/(-2). Is 17 a factor of (-3)/j*-2 + (-1772)/(-10)?
False
Let r = 47 - 65. Let u = -9 - r. Is 3 a factor of u?
True
Is (-30)/20*(-508)/6 a multiple of 6?
False
Let k(h) = 4*h**2 + h. Let g be k(1). Suppose g*z = 8*z + 24. Let l = z + 11. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
ed without replacement from {f: 2, e: 6, t: 1, p: 2, h: 6}?
45/476
Calculate prob of picking 2 q when two letters picked without replacement from {e: 7, q: 2, r: 3, s: 3, y: 4}.
1/171
Three letters picked without replacement from {z: 2, t: 5}. What is prob of picking 3 t?
2/7
Calculate prob of picking 1 m and 1 g when two letters picked without replacement from gmm.
2/3
Two letters picked without replacement from huuuhuuhuuuuhuuhuuu. What is prob of picking 2 h?
10/171
Calculate prob of picking 1 s and 2 i when three letters picked without replacement from {i: 9, e: 3, s: 4}.
9/35
What is prob of picking 1 p and 1 r when two letters picked without replacement from kxrnrnxrrnxvpnnnxv?
4/153
Calculate prob of picking 1 r, 1 w, and 2 x when four letters picked without replacement from {w: 4, x: 5, r: 1}.
4/21
Two letters picked without replacement from weeeeeeweweeeee. Give prob of picking 2 e.
22/35
Calculate prob of picking 2 h, 1 e, and 1 j when four letters picked without replacement from {j: 4, e: 6, h: 7}.
18/85
Two letters picked without replacement from {u: 1, s: 8, i: 6}. Give prob of picking 1 u and 1 s.
8/105
Two letters picked without replacement from {p: 1, z: 19}. Give prob of picking 2 z.
9/10
What is prob of picking 2 g, 1 c, and 1 v when four letters picked without replacement from vgzczgvzvggvgvgg?
3/52
Two letters picked without replacement from smmmmkkkzikskks. Give prob of picking 1 k and 1 i.
2/35
Two letters picked without replacement from mddmtdmmtmdmmmdmd. Give prob of picking 1 m and 1 d.
27/68
Calculate prob of picking 1 j, 1 u, and 1 i when three letters picked without replacement from {j: 2, l: 2, i: 4, s: 4, h: 1, u: 2}.
16/455
What is prob of picking 4 c when four letters picked without replacement from {x: 4, c: 7}?
7/66
Three letters picked without replacement from immm. What is prob of picking 3 m?
1/4
Three letters picked without replacement from fffffffff. Give prob of picking 3 f.
1
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from barfs.
1/10
Two letters picked without replacement from {o: 2, u: 2}. Give prob of picking 1 u and 1 o.
2/3
Four letters picked without replacement from {f: 4}. What is prob of picking 4 f?
1
Calculate prob of picking 1 a, 1 t, and 2 u when four letters picked without replacement from ssssutsttooausou.
9/1820
Two letters picked without replacement from poppttttpttoo. Give prob of picking 1 o and 1 p.
2/13
Three letters picked without replacement from {k: 2, m: 1, n: 1, l: 6, p: 3}. What is prob of picking 1 k and 2 p?
3/143
Four letters picked without replacement from {o: 12, x: 1}. What is prob of picking 4 o?
9/13
What is prob of picking 4 s when four letters picked without replacement from {q: 5, s: 5}?
1/42
Two letters picked without replacement from bimccpj. Give prob of picking 2 c.
1/21
What is prob of picking 1 s and 1 r when two letters picked without replacement from cgsgcgr?
1/21
Four letters picked without replacement from {z: 3, u: 6, o: 5, d: 2, h: 1}. What is prob of picking 2 z, 1 d, and 1 u?
9/595
Calculate prob of picking 1 l, 1 n, and 1 i when three letters picked without replacement from wnlnlnllnin.
4/33
What is prob of picking 2 m and 1 o when three letters picked without replacement from {o: 1, z: 5, g: 3, s: 8, m: 3}?
1/380
Calculate prob of picking 2 m, 1 t, and 1 e when four letters picked without replacement from mwtdmkddekkwweek.
3/1820
Two letters picked without replacement from uunvu. Give prob of picking 1 u and 1 v.
3/10
What is prob of picking 4 z when four letters picked without replacement from {x: 1, u: 2, z: 4, b: 2}?
1/126
Two letters picked without replacement from {f: 2, t: 1, o: 1, w: 4}. What is prob of picking 1 w and 1 o?
1/7
What is prob of picking 1 i, 1 n, 1 s, and 1 d when four letters picked without replacement from nssdidd?
6/35
Two letters picked without replacement from cmmlcdqqcq. What is prob of picking 1 m and 1 c?
2/15
What is prob of picking 1 c, 1 i, and 1 s when three letters picked without replacement from {s: 1, m: 2, c: 2, y: 1, i: 2}?
1/14
Calculate prob of picking 2 u when two letters picked without replacement from fueununfenununneuf.
5/51
Calculate prob of picking 1 v and 1 t when two letters picked without replacement from vvttv.
3/5
Two letters picked without replacement from {k: 2, b: 4, t: 2, v: 2, q: 3, e: 2}. Give prob of picking 2 e.
1/105
Calculate prob of picking 3 x when three letters picked without replacement from {x: 7, k: 1}.
5/8
Two letters picked without replacement from {y: 9, m: 6, q: 2, v: 1}. Give prob of picking 1 y and 1 m.
6/17
Three letters picked without replacement from unnuunnnnnnnnunnun. What is prob of picking 3 n?
143/408
Calculate prob of picking 2 b when two letters picked without replacement from hbqhqqq.
0
Four letters picked without replacement from obborbosobh. Give prob of picking 1 r, 2 o, and 1 h.
1/55
What is prob of picking 1 j, 1 v, and 1 c when three letters picked without replacement from ccggjiwvcgjciccji?
9/340
Calculate prob of picking 4 b when four letters picked without replacement from lllkklbrlblbkkbk.
1/1820
Two letters picked without replacement from zczzzzzzzzwzzzz. What is prob of picking 1 z and 1 c?
13/105
Three letters picked without replacement from prilpiirrsr. What is prob of picking 1 p and 2 i?
2/55
Two letters picked without replacement from gggz. What is prob of picking 2 g?
1/2
What is prob of picking 1 b, 1 s, and 2 g when four letters picked without replacement from bebbbngggbsgb?
36/715
Calculate prob of picking 3 y and 1 g when four letters picked without replacement from {u: 4, g: 6, d: 1, z: 1, y: 8}.
112/1615
Two letters picked without replacement from tfcwkjc. What is prob of picking 2 c?
1/21
Four letters picked without replacement from ennnenenne. What is prob of picking 4 n?
1/14
What is prob of picking 2 e and 2 c when four letters picked without replacement from zczece?
1/15
Two letters picked without replacement from jjza. Give prob of picking 1 j and 1 z.
1/3
Calculate prob of picking 4 f when four letters picked without replacement from wfffwfffffffffffwfff.
28/57
Two letters picked without replacement from entoelolll. Give prob of picking 1 t and 1 l.
4/45
Two letters picked without replacement from ilivtitidaiviiivivii. Give prob of picking 1 i and 1 v.
22/95
What is prob of picking 1 g and 1 s when two letters picked without replacement from {g: 2, s: 7, m: 4}?
7/39
Calculate prob of picking 4 q when four letters picked without replacement from {q: 4}.
1
Three letters picked without replacement from {w: 1, d: 3, t: 1, g: 6, r: 4, v: 3}. Give prob of picking 1 d and 2 r.
3/136
Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {h: 6, k: 4, x: 1}.
4/55
What is prob of picking 2 u when two letters picked without replacement from uuu?
1
Calculate prob of picking 2 c and 1 x when three letters picked without replacement from ocxqrxcctxoccrcoxxxr.
3/38
Two letters picked without replacement from {a: 3, d: 5}. Give prob of picking 1 d and 1 a.
15/28
Four letters picked without replacement from zzwhzzhhhhahhzzzhhw. Give prob of picking 2 h, 1 a, and 1 w.
6/323
What is prob of picking 2 k when two letters picked without replacement from nkvnfvxnuvvuvfknfv?
1/153
What is prob of picking 1 e and 1 f when two letters picked without replacement from effffeefeffeff?
45/91
Calculate prob of picking 2 k when two letters picked without replacement from kkff.
1/6
What is prob of picking 1 w and 1 q when two letters picked without replacement from {q: 14, w: 1, r: 5}?
7/95
Four letters picked without replacement from {f: 1, p: 3}. What is prob of picking 1 p and 3 f?
0
Four letters picked without replacement from {x: 2, w: 1, i: 2, p: 1, d: 1}. What is prob of picking 2 i, 1 p, and 1 x?
2/35
Two letters picked without replacement from dgwgdggdg. What is prob of picking 1 w and 1 d?
1/12
What is prob of picking 1 r and 3 a when four letters picked without replacement from araaaraaraaa?
28/55
What is prob of picking 4 a when four letters picked without replacement from raarrraaaraaaaaara?
11/68
Two letters picked without replacement from ttftefeefevtjeftttf. What is prob of pick
|
{
"pile_set_name": "DM Mathematics"
}
|
= -3*f. Let l(t) = t**2 - 6*t + 6. Let y be l(f). Put y, -3, 5 in increasing order.
-3, y, 5
Let j(k) = k + 27. Let i be j(-32). Put -17, i, 2 in decreasing order.
2, i, -17
Suppose 4*c + c = -b - 31, -b = -5*c - 19. Let q = -2 - b. Sort 3, -2, q in increasing order.
-2, 3, q
Let a(d) = -d + 1. Let z be a(-3). Put z, 0.9, 3 in decreasing order.
z, 3, 0.9
Let q be 2/8 + 0 + 0. Let d = 6 + -8. Let i = -6.3 + 6. Sort q, i, d in decreasing order.
q, i, d
Suppose 0 = n - 4*j - 23, 0 = -2*n - 2*j + 3 + 3. Put -5, 3, n in increasing order.
-5, 3, n
Suppose 2*v = -2*t + 4, -5*v - t - 40 = -6*t. Let l be (-3)/(-2) + (-1)/(-2). Sort 1, l, v in increasing order.
v, 1, l
Let y be 0 + -4 + 5 + -1. Suppose -s - 1 = y, 3*g + 7*s - 2*s - 7 = 0. Put g, -16, 0 in decreasing order.
g, 0, -16
Let g(x) = -x**3 + 7*x**2 + 7*x + 9. Let d be g(8). Let s be d/(-5)*(-2 + 1). Let h = 1.1 - 1. Sort 0, h, s in descending order.
s, h, 0
Suppose 0 = u + 1 - 0, 5*u + 13 = 4*n. Put -2, 5, -4, n in descending order.
5, n, -2, -4
Let g = -20.1 - -2.1. Put g, -3, -5 in increasing order.
g, -5, -3
Let s = 0.02 + -0.11. Let o = -417 - -411.91. Let x = o - s. Sort -0.1, x, 2.
x, -0.1, 2
Suppose -14 = -4*i + 2. Put -0.5, -0.04, i in descending order.
i, -0.04, -0.5
Let i = 6 + -1. Put i, -0.4, -2 in ascending order.
-2, -0.4, i
Let n = -16 + 16. Let s be (-4)/(-16)*4/(-3). Sort s, -4, n in increasing order.
-4, s, n
Suppose 2*o = -2*y + 12, 5*y = 4*o - 2*o + 23. Let f = -2 + -2. Put y, 4, f in increasing order.
f, 4, y
Let j = 41 + -31. Put -2/13, j, -0.1, 1 in increasing order.
-2/13, -0.1, 1, j
Let b be 1*-1 - (-8)/(-4). Suppose -4*u - 1 = -m, -m = 3*u - 2*u - 1. Suppose z - 3 + 0 = u. Put b, 2, z in decreasing order.
z, 2, b
Suppose 2*l = -8*l - 10. Sort l, 5, 3, -5 in descending order.
5, 3, l, -5
Let j = -15 - -17. Suppose 0 = -2*n - 2 + 8. Put j, n, 5 in decreasing order.
5, n, j
Let f = 67 - 69. Let q(w) = -w + 1. Let p be q(2). Put 5, f, p in increasing order.
f, p, 5
Let k = -4 - -8. Let f = k - 7. Put -2, f, -5 in ascending order.
-5, f, -2
Let k = -13.6 - -13.9. Put 0.5, -0.1, -13, k in descending order.
0.5, k, -0.1, -13
Suppose 0 = -2*w - q - 10, 4*w - q - 6 = 5*w. Let h = -439/1008 - -1/144. Sort 4, h, w in ascending order.
w, h, 4
Let u be (-4)/(-6)*(-6)/22. Suppose 3*b + 0*b = -6. Sort u, 4/7, b.
b, u, 4/7
Let t = -8 + 20. Suppose i - 7 = -f, -2*i + 11 = -2*f - 3. Suppose -3*w + i*w + t = 0. Put w, 0.4, -1 in decreasing order.
0.4, -1, w
Let k = -5 - -8. Suppose -2*z + 2*q - q + k = 0, -2*z - 2*q = -18. Put -3, 3, z in increasing order.
-3, 3, z
Let c = 0.16 + -0.12. Let r = 0.26 + c. Let i be (-11)/(-7) + -1 - 0. Sort -1/7, i, r in descending order.
i, r, -1/7
Suppose 3*b - 3*l + 34 = l, -b + 4*l = 22. Put 2/7, b, -1/8 in decreasing order.
2/7, -1/8, b
Let o = 10 - 10.4. Let v = -678/5 + 136. Sort o, 3, v in ascending order.
o, v, 3
Let x be (-2)/(-8) + 14/8. Let m be ((-1 - 1) + -1)*-1. Sort m, x, -1 in increasing order.
-1, x, m
Let o = -0.09 + -3.91. Let j = -92 + 87.7. Let s = j - o. Put -5, -3, s in decreasing order.
s, -3, -5
Let c = 6 - 7. Let a = c + 1.2. Sort -2, a, 0.4.
-2, a, 0.4
Let u = -5 - -4. Let f be 5*u/3*-3. Sort 3, f, 1 in decreasing order.
f, 3, 1
Suppose 0 = 3*r - 15 + 9. Let t be 66/(-18) + r/(-6). Sort t, 1, -5 in decreasing order.
1, t, -5
Let q = 1.6 - 5.6. Sort 5, q, 3 in decreasing order.
5, 3, q
Let l(n) = n**3 + 15*n**2 - 15*n + 20. Let o be l(-16). Put 3/5, -2/7, o, -1 in descending order.
o, 3/5, -2/7, -1
Let p(i) = -i**3 - 6*i**2 - 3*i - 1. Let l be p(-5). Let r(h) = -h**3 - 12*h**2 - 11*h + 5. Let y be r(l). Sort y, 4, 1.
1, 4, y
Let b = -0.41 - -0.01. Let z = 10.4 - 10. Sort b, z, -1 in descending order.
z, b, -1
Let m be -18*(-2)/(-4) - -2. Let n = 7 + m. Sort 2, n, 2/5 in decreasing order.
2, 2/5, n
Let f be (3/(-4))/(33/24). Put 5, -0.5, f in increasing order.
f, -0.5, 5
Let t = 4.9 + -5. Let p = 0.036 - -1.964. Sort -2, p, t in descending order.
p, t, -2
Let p = 30 + -25. Sort p, 1/2, 1.
1/2, 1, p
Let u be (-1)/(4 - (-75)/(-20)). Put u, -0.3, 0.3 in increasing order.
u, -0.3, 0.3
Let x(m) be the first derivative of -m**4/4 + 8*m**3/3 + m**2/2 - 11*m - 2. Let k be x(8). Let u = -2 - k. Sort u, -1, -2 in ascending order.
-2, -1, u
Let j be 2/(-6) - 2/(-6). Suppose 4*l - 17 = -2*w - 3, -5*w - l + 17 = j. Let t be -5 + -1 - -1 - -2. Put t, w, 0 in increasing order.
t, 0, w
Let u be -1*2*((-26)/(-4) + -4). Let d = -3 - -2. Put 2, d, u in decreasing order.
2, d, u
Let x(v) = 3*v**2 - 8*v - 1. Let w be x(3). Put -0.3, 4, w in descending order.
4, w, -0.3
Let l = -12 + 9. Put 3, l, 0 in increasing order.
l, 0, 3
Let v(g) = 2*g**2 + 2*g - 1. Let j be v(1). Suppose 18 = -c - j*h - 2*h, 5*c = 5*h. Let i = 165/602 - -1/86. Sort -1/6, i, c in ascending order.
c, -1/6, i
Let q be -8 + 1 - (1 + -2). Let n(j) = 3*j + 8. Let s be n(q). Let u be 17/(-5) - 4/s. Sort u, 3, 0.3.
u, 0.3, 3
Let l be -1*(-4)/3 - 1/3. Let n = 1.2 + -1. Sort n, -0.3, l in increasing order.
-0.3, n, l
Let w = 4 + -3. Let x be 6*(w + 2)/30. Sort x, 1/5, 1/3 in increasing order.
1/5, 1/3, x
Let w = -2.3 + 2. Let f = w - -0.5. Let j be (-2)/(12*8/(-12)). Sort -5, f, j in ascending order.
-5, f, j
Let n = -48 + 50. Sort n, -1, -2.
-2, -1, n
Suppose 0*t - 1 = -t. Let d be (20/(-30))/(4/(-30)). Put d, t, -3 in descending order.
d, t, -3
Let o = 380 - 378. Let y be (-2)/44*-1*4. Put y, 1, o in decreasing order.
o, 1, y
Let q be (1 + -2)*(3 + -1). Let j(w) = w + 2. Let d be j(2). Suppose -16 - d = -5*p. Put q, 2/9, p in ascending order.
q, 2/9, p
Let v = -10 + 7. Let t = -2 - v. Sort t, 5, -2 in decreasing order.
5, t, -2
Let j = -0.17 + 0.57. Suppose -15 = -4*t - 3*c, 2*t = -0*t + 2*c - 10. Put 2, t, j in ascending order.
t, j, 2
Let l(n) = 2*n - 11. Let i be l(8). Put -5, i, 0 in descending order.
i, 0, -5
Let d = 0.05 - -0.25. Put -2/7, d, -0.5 in ascending order.
-0.5, -2/7, d
Let i = 17 + -7. Suppose -f + 6 - 2 = 0. Suppose 2*q - 2*u = -f - 2, i = -2*q + 3*u. Sort -0.5, 4/9, q in descending order.
q, 4/9, -0.5
Let l be -3 - 7/2*-2. Suppose v = -l*v - 20. Let n(c) = -2*c - 5. Let y be n(v). Put 0, -5, y in ascending order.
-5, 0, y
Let f = 7619 + -22582/3. Let l = f - 93. Let m = -512/5 + 103. Sort m, -3, l in increasing order.
-3, l, m
Let x = 6.3 - 6. Suppose 47 = 3*p + 3*l - 2*l, -4*p + 62 = l. Suppose 3*w + 0 = -p. Sort -4/7, w, x in decreasing order.
x, -4/7, w
Suppose -15 = 2*u + 3. Let c(k) = k + 10. Let a be c(u). Let t be 2/(-4)*(9 + a). Sort 1, t, 2.
t, 1, 2
Suppose 0*r - 76 = 2*r. Let f = r + 26. Put 3, f, 5 in decreasing order.
5, 3, f
Let c = 500 - 496. Let j(k) = k. Let m be j(-3). Sort -2, c, m in descending order.
c, -2, m
Let j = 149 - 145. Suppose -2*h + 3 = 1. Put j, h, 3 in decreasing order.
j, 3, h
Let d = 2.92 + 0.08. Let w = 3 - d. Put w, 4, 2 in descending order.
4, 2, w
Suppose 10*v - 2*v = 32. Put -3, -2, v in decreasing order.
v, -2, -3
Let p = -2.9 - -3. Put p, 5/6, 0.04 in increasing order.
0.04, p, 5/6
Let n be (0 + 1)/(4/(-20)). Let i(u) = u**3 + 6*u**2 + 5*u + 3. Let j be i(n). Let q be 4*(-3)/(2*-3). Put 5, j, q in decreasing order.
5, j, q
Let r be ((-48)/(-5))/(33/220). Let j be ((-1)/6)/((-8)/r). Put j, -3, -0.5 in descending order.
j, -0.5, -3
Let f = 18 - 12. Suppose -5*n - 5 = -2*i, 4*n + 0*i - 2*i + f = 0. Suppose 0*r + 20 = -5*r. Sort r, n, -5 in increasing order.
-5, r, n
Let f = 0.2 - 0. Let x be (-282)/1035*2/(-4). Let c = x + -1/345. Sort f, c, 2 in ascending order.
c, f, 2
Let o = 0.6 - 2.6. Let u be (((-192)/(-84))/8)/((-4)/(-14)). Put u, 0.4, o in descending order.
u, 0.4, o
Suppose 5*s = -0*s. Let h = s - 1. Let x be (-10)/(-6)*(h - -4). Sort 3, x, -3 in descending order.
x, 3, -3
Let b = -0.23 - -1.33. Let l = 1 - b. Suppose -4 = 4*h - 0. Sort 1/9, l, h in decreasing order.
1/9, l, h
Let p(w) = -w**3 - 10*w**2 + 10*w + 3. Let s be p(-11). Suppose 0 = 2*l + l - 27. Let g = l - s. Put 3, -3, g in ascending order.
g, -3, 3
Suppose -4*q + 5*q + 3 = 0. Let s = 5 - q. Suppose -3 = 4*b - 3*f + s*f, 2*b + 4*f = -6. Put 4, 2, b in ascending order.
2, b, 4
Let j = -168 - -177. Sort -5, -3, j.
-5, -3, j
Let f = 8.5 + -8.63. Sort f, -3/2, -0.2, 0.3 in decreasing order.
0.3, f, -0.2, -3/2
Let n(s) = 7*s + 2. Let w be n(-1). Sort -9,
|
{
"pile_set_name": "DM Mathematics"
}
|
9537?
-2/17
Evaluate (27/3)/(70/14).
9/5
What is (((-2)/(-8))/((-110)/(-792)*-9))/(-1)?
1/5
Evaluate (-540)/(-2970)*1375/(-10).
-25
What is (32/6)/(-2)*677/(-35204)?
2/39
What is the value of (-3)/(-98)*20/15*(-7)/(-3)?
2/21
What is (867/(-1156))/(2/(-10)*55/(-8))?
-6/11
Calculate (-54)/(-72)*((-4)/(-30))/((-11)/(-1210)).
11
Calculate (-10)/4*17*(-60)/75.
34
What is the value of (-5)/3*126/18*12/28?
-5
What is the value of 53/(583/44)*1/(-66)?
-2/33
What is the value of (21888/8208)/((-16)/(-66))?
11
What is 1*17*120/120*1?
17
What is the value of ((-354)/354)/((-6)/(-39)*1/(-2))?
13
((-459)/1836)/(33/8)
-2/33
What is the value of 799/4700*20*-10?
-34
Evaluate (200/(-240))/(-5*5/(-1)).
-1/30
What is the value of ((-63)/(-14))/(((-24)/36)/((-16)/(-36)))?
-3
Evaluate (204/(-85))/(16/140).
-21
(-6)/58*(-206)/(-309)
-2/29
Evaluate ((-5)/((-10)/(-7)))/(130/260).
-7
Calculate ((-6)/(-10))/((-335)/1675).
-3
What is the value of (7*218/763)/((-2)/12*1)?
-12
What is the value of (-6)/((-8)/(40/(-3)))?
-10
What is the value of (-2)/5*10/6*3432/(-176)?
13
What is 396/3630*(-30)/9?
-4/11
Evaluate (-5)/(-56)*(-23219)/(-3317).
5/8
What is the value of (4/28)/(356/(-5607))?
-9/4
(((-3)/(-12))/1)/((-1764)/12096)
-12/7
What is the value of (-2)/(3/((-3)/4)*10/16)?
4/5
What is the value of 435*(-14)/(-168)*8/(-10)?
-29
Calculate ((-3)/8*104/12)/((-27)/216).
26
What is 442/51*(-8)/16*3?
-13
(33/(-187)*1)/(-1)
3/17
Calculate (-42)/(((-204)/374)/(8/(-22))).
-28
Calculate 243/540*(-15)/18.
-3/8
-12*60*(-37)/2664
10
What is (-33)/(858/4)*(-2)/4?
1/13
What is (-76*(-88)/4180)/((-4)/50)?
-20
What is (((-56)/522)/7)/((-892)/(-1338))?
-2/87
Evaluate ((-270)/1800)/((-21)/(-98)).
-7/10
What is the value of (-8)/6*(-2619)/(-1164)?
-3
Calculate (-12)/900*5*(-20)/(-6).
-2/9
Calculate (2832/(-2360)*2/14)/(4/30).
-9/7
Evaluate ((-156)/104)/(1/6)*4/12.
-3
Calculate (589/(-38))/31*2*(-4)/76.
1/19
Evaluate (-2)/(((-192)/(-42))/(-4))*-4.
-7
((-150)/10)/((-35)/(-21))
-9
What is (-27)/(-6)*((-22528)/(-144))/32?
22
Calculate ((-7)/56)/(8/144).
-9/4
-14*2*57/(-133)
12
Evaluate 1/((1/(-2))/((8/2)/(-56))).
1/7
Calculate ((-5)/(-5))/(33/55).
5/3
2*2/(-5)*847/(-484)
7/5
(-12)/3*(-1)/(72/54)
3
(5/(-5)*1/3)/((-113)/(-7119))
-21
(-3)/18*21/(-14)*108
27
Calculate (-20)/105*7/(-30)*1.
2/45
What is 344/860*(-1)/(-43)*5?
2/43
20/22*1518/69
20
((8/(-5))/((-426)/(-213)))/((-2)/30)
12
What is 6/48*8*-19?
-19
((514/(-1028))/(1*5))/((-1)/2)
1/5
What is 46*(-28)/(-184)*20/(-14)?
-10
Calculate 2/44*(-276)/23*-1.
6/11
Calculate (1*(-27)/18)/((-6)/(-152)).
-38
Calculate 8/((304/19)/32).
16
Calculate (-9)/(-2)*((-932)/2563)/(12/22).
-3
What is 144/240*(-2)/(-99)*5?
2/33
Calculate 252/1785*5/4.
3/17
Calculate -6*((-525)/15)/(-35).
-6
What is (((-418)/22)/19)/(1/(-3))?
3
What is ((-2)/4)/((12/21)/(12/(-14)))?
3/4
Evaluate 100/3*(-1467)/(-1956).
25
What is (582/(-291))/((-16)/(-2))?
-1/4
Evaluate (6/(-7))/(25/2450*21).
-4
Evaluate 12/(-14)*((-334)/23046)/(1/21).
6/23
What is (2/4)/1*(-4)/(-30)*100?
20/3
Evaluate (((-432)/(-48))/(2*2))/(9/(-24)).
-6
Calculate (1*6/(-14))/(-1*(-29)/(-406)).
6
What is the value of ((-7)/7)/((-5)/5)?
1
Evaluate ((-2)/6*(-4)/28)/(68/(-102)).
-1/14
Evaluate (((-24)/(-78))/(-1))/1.
-4/13
What is the value of 3/((-6*(-1)/(-30))/((-2)/(-10)))?
-3
((-20)/(-12))/((-5)/210*-7)
10
(284/(-71)*10/(-8))/(1/2)
10
Calculate (-8)/98*2625/150.
-10/7
What is (-18)/17*19142/(-1689)?
12
What is the value of ((-4)/(-7))/(((-368)/(-14))/4)?
2/23
What is 1/(-6)*342/(-38)*-14?
-21
What is (184/(-2645))/(52/65)?
-2/23
What is (442/65)/17*15/18?
1/3
What is ((-648)/(-27))/192*(-24)/22?
-3/22
Calculate 6/7*((-4)/(-24))/((-4)/(-12)).
3/7
(-36)/15*35/(-154)
6/11
Evaluate -2*18/((-144)/(-20)).
-5
Calculate 36/(-18)*(3/(-36))/(-1).
-1/6
What is the value of 11/132*18*(-836)/57?
-22
What is the value of (10/12)/(13/(-26))*384/(-40)?
16
Evaluate 2/(-60)*(-1600)/(-400).
-2/15
Calculate 30/(-2)*4/24*160/16.
-25
((-385)/2541*22)/((-10)/84)
28
Evaluate (-4)/40*4*19600/(-224).
35
Calculate ((-1248)/182)/48*35/(-9).
5/9
What is 168/6*(-18)/(-44)*(-22)/(-12)?
21
What is the value of (-16)/(-6)*(243/36)/(-3)?
-6
Evaluate (3/(-21))/((3/36)/(5/15)).
-4/7
What is (14/(-8))/(7/(((-120)/4)/5))?
3/2
What is the value of (-35)/1680*-312*2*-1?
-13
What is 72/(-32)*(-1)/(-1)*26/78?
-3/4
Evaluate (75/225*60/(-8))/(20/(-6)).
3/4
Calculate ((-260)/(-182))/((-13)/(1001/(-22))).
5
What is the value of (3*(-4)/(-30))/(-4*(-13)/(-520))?
-4
What is the value of (6/(-230))/(5/(1000/180))?
-2/69
What is 26532/(-7236)*2/(-44)?
1/6
Calculate (25/150)/((-55)/66).
-1/5
What is the value of ((-1)/(-3))/((-249)/747)*3*10?
-30
Evaluate 6*(-55)/45*((-306)/(-24))/17.
-11/2
What is the value of (3/(-18)*-2)/((-13034)/8379)?
-3/14
Evaluate (44/12)/(1364/(-2232)).
-6
Calculate (-8)/(((-28)/(-1))/(14/(-7))).
4/7
What is the value of (-22)/12*855/1045?
-3/2
Evaluate (-34)/14*5460/(-390).
34
Calculate (260/104*4/10)/((-2)/80).
-40
What is the value of (13020/2325)/(8/20)?
14
What is the value of ((18/(-28))/(-1))/(525/1225)?
3/2
Calculate (-21714)/10340*2/14.
-3/10
(-468)/288*(-2)/(-26)
-1/8
((-21)/28)/(-8*2/(-320))
-15
2/34*(-3207)/1069
-3/17
Evaluate (-9)/((-18)/52)*(-30)/60.
-13
Evaluate (2/(-12))/((-12)/(-60)).
-5/6
What is ((384/(-6))/(-8))/((2/1)/4)?
16
Calculate (20*17/34)/(-1).
-10
What is 44/(-4)*(-15)/(1155/28)*-1?
-4
Evaluate (-5)/2*-39*(-56)/1092.
-5
4/(-148*(-6)/(-12)*1)
-2/37
What is -2*5*14/(-630)?
2/9
12*3*20*13/1560
6
Evaluate (-26)/(-286)*-22*(-33)/2.
33
Evaluate (5560/556)/(2*2/(-10)).
-25
Evaluate (-5)/(-103)*(-5050)/12625.
-2/103
Calculate (14/2)/((136/17)/(-24)).
-21
Calculate -2*4/(-12)*237/79.
2
Calculate -14*28/490*10/(-12).
2/3
(1/1)/(((-1)/(-39))/(87/261))
13
Calculate ((-3)/((-108)/(-3)))/((-15)/20).
1/9
What is 45/(-9)*((-162)/(-180))/((-2)/(-4))?
-9
What is the value of (42/(-16))/(-25*(-77)/(-15400))?
21
(((-2)/(-2))/(-2))/((-93)/(-4278))
-23
What is ((-4)/(-40))/((-2)/(-40))?
2
Evaluate ((-12)/(-18))/((-49)/147).
-2
What is the value of (((-468)/(-2241))/13)/((-8)/(-120)*10)?
2/83
What is the value of (12142/3736)/(1/(-2)*(-6)/(-4))?
-13/3
What is the value of (-1)/8*-12*(-8)/(-4)?
3
Calculate (-105)/(-6)*(-5670)/(-46305).
15/7
Calculate ((-115)/(30590/(-456)))/((-2)/(-14)).
12
Calculate -9*(5/(-6)*(-140)/175)/(-2).
3
What is (-22)/33*(-90)/(-42)?
-10/7
((-13104)/(-4732))/((-10)/(-13))
18/5
What is the value of 1/(-2)*(24/(-42))/((-12)/(-14))?
1/3
What is the value of (-19)/(33/((-1122)/(-34)))?
-19
What is the value of (-80)/(560/14)*6/(-33)?
4/11
What is (-1)/(9*99/162)?
-2/11
Evaluate (-24)/810*(-15)/3*18/4.
2/3
Evaluate ((-55)/(-638))/(20*(-4)/64).
-2/29
What is 3*((-27)/81)/(-1)?
1
Calculate (((-2)/3)/(6/(-27)))/((-918)/5814).
-19
Calculate 19/(13338/180)*(-9)/(-15)*1.
2/13
What is the value of (-22)/(-198)*-3*-33?
11
What is the value of ((-552)/1288)/(12/952)?
-34
Calculate 3/117*-21*((-16)/28)/2.
2/13
What is ((-90)/60)/((-126)/((-6)/2))?
-1/28
What is 10/50*((-65)/156)/(-1)?
1/12
What is (2/16)/((-7)/(-28))?
1/2
What is ((-49)/(-196))/((-45)/(-40))?
2/9
Calculate 127/16510*50*-1*(-2)/(-2).
-5/13
(10/(-12))/(31/(-11160)*12)
25
What is 6/15*5*(-1089)/(-198)?
11
What is the value of (40*3/(-42))/(((-18)/6)/(-21))?
-20
(3*(-28)/(-42))/(-23*2)*2
-2/23
Calculate ((-345)/(-1610))/(9/12).
2/7
Calculate ((-52)/84*3)/((-200)/(-400)).
-26/7
What is the value of (3/30*2)/(-1)?
-1/5
(-180)/384*16/(-6)
5/4
Calculate 4/(-6)*64/((-2816)/2574).
39
What is ((-176)/132)/(4/2)?
-2/3
Evaluate 2125/850*8/130.
2/13
What is the value of (25/(-50))/((-57)/(-36))?
-6/19
What is the value of (42/616)/(3/12)?
3/11
What is the value of (9*1*(-60)/360)/((-2)/12)?
9
102/(-20)*900/540
-17/2
What is the value of 10*3*(-10)/25?
-12
What is ((77/11)/(-63))/((-4)/12)?
1/3
Evaluate (0*4/12)/(((-180)/9)/10).
0
What is 1*(6448/(-31))/13?
-16
Evaluate 33/(-3)*(4/(-20)*5)/(-1).
-11
What is the value of (16/(-24))/(32/(-16))*-1?
-1/3
((-26)/(-182))/((-1)/1)
-1/7
Calculate (24/10)/((-2896)/(-1810)).
3/2
Evaluate ((-6)/1116)/(((-858)/(-88))/(-39)).
2/93
Calculate ((-4)/6)/(246/4059).
-11
Calculate 174/696*(6/(-5))/((-3)/(-4)).
-2/5
Calculate ((-15)/50)/(4/(-6)*99/(-55)).
-1/4
What is the value of (33/(5049/(-34)))/((-1)/15*1)?
10/3
Calculate (18/444
|
{
"pile_set_name": "DM Mathematics"
}
|
- w and 18.
198
Find the common denominator of ((-4)/18)/(9/1026) and -40/9.
9
Find the common denominator of -38/13 and (1280/12)/8 + -2.
39
Let z = -2/89 - -7763/890. What is the common denominator of z and 61/8?
40
Let u be (246/(-20))/(18/(-15)). Let r = u - 7/2. Let n = 2414 + -24159/10. Find the common denominator of n and r.
20
Let g = 2 + -3. Suppose 22 = 4*s - 3*s. Calculate the lowest common multiple of (g/(-1))/((-1)/(-22)) and s.
22
Suppose -z + 3*n = 11, 24 = -2*z + 6*z + 5*n. Let a = -2 - -6. What is the smallest common multiple of a and z?
4
What is the least common multiple of 10 and ((-27)/(-12))/(4/16)?
90
Let u = -42791/9340 + -32/467. Calculate the common denominator of u and -1 + 0 + 15/16.
80
Let v = -3 + 8. Suppose 13 = -g - 5*p, 2*g + v*p = -11 + 5. Calculate the smallest common multiple of 12 and (6/g)/(2/14).
12
Let g be (-1)/2*(-36 + 4). Suppose -2*b - 2*b - g = 0. Find the common denominator of 11/7 and (6/b)/((-18)/(-21)).
28
Suppose -2*o + 4*q = 36 + 100, 0 = -3*o + 5*q - 200. What is the common denominator of -1 + 4 + (-220)/(-12) and 2/6 - 34/o?
30
Let o be 54/24 + (-3)/(-4). Suppose -3*h - o*d = -0*h - 24, h + 16 = 5*d. Calculate the smallest common multiple of h and 1*(12/1 + -2).
20
Suppose -2*v + 2*i + 0*i - 48 = 0, 4*i - 69 = 3*v. Let r = 45 + v. Find the common denominator of 20/11 and r.
11
Let r be (-28)/8 + (-2)/(-4). What is the least common multiple of 14 + -3 + (1 - 3) and 2/6*-2*r?
18
Suppose 0*v - 26 = -2*v. What is the smallest common multiple of -3 + (-1)/((-4)/56) and v?
143
Suppose -2*q = 3*q + b - 42, q + 4*b = -3. Let n = 49076/2103 - 2/701. What is the common denominator of 183/q + -2 - 0 and n?
3
Let h = -2752 + 30226/11. Suppose -3*z - 3*d + 462 = 0, 5*z = 4*d - 3*d + 770. What is the common denominator of h and (-22)/14*z/(-20)?
110
Let b = 11 + -37. Let f = b + 30. Calculate the lowest common multiple of f and 14.
28
Let t be 101/4 + (-7)/28. What is the lowest common multiple of 22 and 110/t*5/1?
22
Let c be 1/2*16/4. Suppose -2*h + 5 = c*y + 1, -5*h = y - 2. Calculate the lowest common multiple of y and 2.
2
Suppose -11 + 53 = 2*g + 2*s, -3*g - 2*s = -62. Let a(u) = 5*u - 3*u + u**3 - 3*u + 18. Calculate the lowest common multiple of a(0) and g.
180
Let d = 227 + -481/2. What is the common denominator of -45/26 and d?
26
Suppose 0*q = 3*q - 4*u - 208, 0 = 2*q - 4*u - 132. Suppose m = 6*m + c - 83, 4*m = -4*c + q. What is the least common multiple of 14 and m?
112
Suppose 1 = -2*p - 23. Let j = p + 16. What is the lowest common multiple of 13 and j?
52
Calculate the common denominator of -53/27 and ((-128)/(-30))/(9 + -8).
135
Suppose -13*t = -15*t + 36. Calculate the least common multiple of 30 and t.
90
Suppose -2*w + 0*w = 5*b + 16, 14 = 3*w - 2*b. What is the smallest common multiple of w and 1?
2
Find the common denominator of 2 + -4 + (-110)/12 and 37/10.
30
Let v = 553 - 4970/9. Find the common denominator of v and 39/14.
126
Let a = -37/14 + 1/7. What is the common denominator of -23/10 and a?
10
Let o = -6 - 43. Let y = 249/8 - 131/4. Find the common denominator of y and o.
8
Suppose -3*h - 3*d + 48 = 18, 0 = -3*h + 4*d + 30. Let m(q) = q + 5. Let s be m(-4). Calculate the lowest common multiple of h and (2 - 1*-2)*s.
20
Calculate the common denominator of 37/(-12) - (-1 - 0) and 4/14 + 121/(-14).
84
What is the common denominator of -18/43 and 4/12 + (417/45 - -2)?
215
Let x = 172 - 166. Calculate the lowest common multiple of 33 and x.
66
Let h(p) = p**3 + 5*p**2 - 3*p + 7. Suppose 3*n = 5*m + 2, -5*m - 23*n + 22*n + 14 = 0. Calculate the smallest common multiple of h(-5) and m.
22
Let n(i) = -10*i + 3. What is the least common multiple of 7 and n(-2)?
161
Let t = 28 - 20. Calculate the least common multiple of t and 10.
40
Let v = -7695 + 77019/10. What is the common denominator of 101/10 and v?
10
Let x = 4 + -7. Let n(p) = p**2 - 5 + 0*p + 1 - 2*p. What is the lowest common multiple of n(x) and 11?
11
Let p = 7 + -5. Suppose 5*o + l + 0*l = 10, p*l = 5*o - 10. What is the smallest common multiple of 16 and o?
16
Let x = 2 + 1. Let y = 5 - x. Calculate the least common multiple of 7 and y.
14
Let q = 53 + -9. Calculate the common denominator of (-96)/(-14) + 17 + -16 and q.
7
Suppose 37 - 141 = 2*r. What is the common denominator of -3/5 and (-1 - -5)/(r/(-4))?
65
Let c = -22 + 33. What is the lowest common multiple of c and (-4)/(-12) + (23/3 - 2)?
66
Let j(y) = -y**2 - 9*y - 14. Calculate the lowest common multiple of j(-4) and 2.
6
Let r be 5*4*(-7)/10. Let g = 26 + r. Calculate the smallest common multiple of g and 18.
36
Suppose -4*w = -46 - 34. What is the least common multiple of w and 6?
60
Let v = 19085/6 + -3199. Calculate the common denominator of 55/51 and v.
102
Let w(l) = l**3 - 3*l**2 - 2*l - 3. What is the lowest common multiple of w(4) and 1?
5
Let x(r) = -6 + 8*r + 1 - 2*r**2 + 1. Let i be x(5). Let s = i + 26. Calculate the least common multiple of 22 and s.
132
Let y(m) = -m**2 + 8*m + 3. Let u(h) = h**2 - 8*h - 4. Let i(d) = 3*u(d) + 2*y(d). What is the least common multiple of 9 and i(9)?
9
Let n be (-51)/(-20) + 5/(-5). Let t = -359/20 - n. Let a = t - -43/4. Find the common denominator of a and 71/10.
20
Suppose 2*i - 56 = -2*i. What is the smallest common multiple of i and 4?
28
What is the common denominator of ((-144)/45)/(7/(-10)) and 21/2?
14
What is the lowest common multiple of (-12)/(-54) + ((-97)/(-9) - -1) and 4?
12
Let x = 6471 - 51703/8. Find the common denominator of -53/7 and x.
56
Let f(r) = -2*r**3 + 12*r**2 + 2*r - 6. Calculate the lowest common multiple of 6 and f(6).
6
Let u(t) = -t**3 + 5*t**2 - 3*t - 2. Suppose l + 3*l - 8 = 0. What is the smallest common multiple of l and u(4)?
2
Suppose 0 = -2*q + 10, 0 = -3*p + 4*q - 1 - 4. Suppose 5*t - a - 25 = a, p*t - 25 = 5*a. Calculate the smallest common multiple of 1 and t.
5
Let z = 177227/80 - 11097/5. Suppose -4 = q - 1. Find the common denominator of z and 226/48*(-4)/q.
144
Let r = 50 + -34. Suppose n - 5 = -5*m, 3*m - 3 = 2*n - 0. Let s = 7 - m. What is the least common multiple of r and s?
48
Let o = -7 + 11. Suppose d = -4*k + 14 + 30, 5*k - 5 = 0. Find the common denominator of (-306)/d - (o + -6) and 57/14.
140
Suppose 4*y + n = 26, -8*y + 6*y + 16 = 2*n. What is the least common multiple of 168 and y?
168
Let l(w) = w**3 - w**2 - 175. Let h be l(0). Let o = h + 335/2. Calculate the common denominator of 81/2 and o.
2
Let u(z) = z**2 - 6. Calculate the least common multiple of u(4) and 1.
10
Let z(d) = -3*d - 4. What is the lowest common multiple of z(-12) and 20?
160
What is the common denominator of -21/25 and (-348)/32 + (-3)/3 + 2?
200
Suppose 7 = 4*i + 3*u, -3*u + 11 = i + 4*i. Suppose 7*y - 10 = 2*y. Calculate the lowest common multiple of i and 12/14*14/y.
12
Let r(j) = 2*j**2 - 34*j + 9. What is the lowest common multiple of r(17) and 10?
90
Find the common denominator of (3/(-86))/((-72)/(-2400)) and 4/7.
301
Let h = -13 - -21. Suppose 2*j + f = 2 + 3, -2*f = -2*j - 4. Suppose 2*c - j - 19 = 0. What is the least common multiple of c and h?
40
Let g be -1 - (0 + 1 + 0). Find the common denominator of g/(-4) - (-114)/(-21) and 3/(84/46) + 0.
14
Suppose -z + 2*z - 3 = 0. Suppose 26 = q + i - 2*i, -70 = -z*q + i. Calculate the smallest common multiple of 14 and q.
154
Let r = 317219084917/1656 - 191557412. Let o = r + 3/184. Calculate the common denominator of o and -41/3.
9
Suppose 3*c - r + 33 = 0, 3*c + 3*r = -13 - 20. Let z = -7 - c. Calculate the smallest common multiple of 10 and z.
20
Let r = -21 - -43. Calculate the lowest common multiple of r and 10.
110
Let a = -33 + 43. What is the least common multiple of 17 and a?
170
Let l = -18360/7 - -2631. Calculate the common denominator of l and -29/18.
126
Let d = -3 + 32. Suppose 3*p - 2*l = l + 39, 0 = -5*p - 4*l + d. Calculate the smallest common multiple of 12/(-3)*1/(-4) and p.
9
Suppose 0 = 7*k - 2*k - 10. Calculate the lowest common multiple of 8 and k.
8
Let o = -4683/2872 - -2/359. What is the common denominator of o and -35/22?
88
Let b = 1926 + -7783/4. What is the common denominator of -59/12 and b?
12
Let z be 6/(-9)*(-2 - -8). What is the common denominator of -1 - z - (-140)/(-6) and 9/2?
6
Let o(b
|
{
"pile_set_name": "DM Mathematics"
}
|
ns digit of 8600307?
0
What is the units digit of 5353013?
3
What is the hundred thousands digit of 877510?
8
What is the hundreds digit of 13477706?
7
What is the ten thousands digit of 1087868?
8
What is the tens digit of 353750?
5
What is the millions digit of 3458941?
3
What is the thousands digit of 814828?
4
What is the units digit of 821469?
9
What is the hundreds digit of 2108312?
3
What is the thousands digit of 1081818?
1
What is the units digit of 672344?
4
What is the hundred thousands digit of 1969404?
9
What is the tens digit of 2104773?
7
What is the thousands digit of 153261?
3
What is the hundreds digit of 28116017?
0
What is the tens digit of 760103?
0
What is the hundred thousands digit of 13876944?
8
What is the units digit of 9011540?
0
What is the hundred thousands digit of 161455?
1
What is the thousands digit of 38959596?
9
What is the units digit of 322269?
9
What is the tens digit of 787161?
6
What is the ten thousands digit of 2768093?
6
What is the thousands digit of 684798?
4
What is the units digit of 91088?
8
What is the millions digit of 2248879?
2
What is the hundred thousands digit of 3897851?
8
What is the hundreds digit of 94518?
5
What is the hundreds digit of 13974849?
8
What is the tens digit of 3121053?
5
What is the thousands digit of 16409919?
9
What is the hundreds digit of 759706?
7
What is the tens digit of 3257926?
2
What is the units digit of 1421138?
8
What is the hundreds digit of 138223?
2
What is the units digit of 10970?
0
What is the thousands digit of 1168393?
8
What is the tens digit of 401675?
7
What is the units digit of 3432205?
5
What is the tens digit of 623057?
5
What is the hundred thousands digit of 1345714?
3
What is the ten thousands digit of 297278?
9
What is the hundreds digit of 664394?
3
What is the tens digit of 497224?
2
What is the hundred thousands digit of 342099?
3
What is the hundred thousands digit of 113718?
1
What is the thousands digit of 311697?
1
What is the millions digit of 5953375?
5
What is the thousands digit of 182749?
2
What is the units digit of 605452?
2
What is the tens digit of 64838?
3
What is the thousands digit of 61049?
1
What is the tens digit of 374734?
3
What is the thousands digit of 1053420?
3
What is the tens digit of 6361088?
8
What is the units digit of 1462177?
7
What is the tens digit of 1930878?
7
What is the tens digit of 1030131?
3
What is the hundreds digit of 78499?
4
What is the hundreds digit of 12955243?
2
What is the hundred thousands digit of 18319075?
3
What is the hundred thousands digit of 208273?
2
What is the hundreds digit of 1705025?
0
What is the tens digit of 3110993?
9
What is the ten thousands digit of 230552?
3
What is the ten thousands digit of 4782516?
8
What is the units digit of 5201?
1
What is the units digit of 1931793?
3
What is the hundred thousands digit of 1824827?
8
What is the units digit of 1982852?
2
What is the ten thousands digit of 11990214?
9
What is the units digit of 2611420?
0
What is the tens digit of 160280?
8
What is the hundred thousands digit of 102913?
1
What is the tens digit of 5025223?
2
What is the ten thousands digit of 3889236?
8
What is the tens digit of 12322622?
2
What is the ten thousands digit of 665859?
6
What is the tens digit of 1523956?
5
What is the hundred thousands digit of 1609772?
6
What is the thousands digit of 58400?
8
What is the millions digit of 1425280?
1
What is the millions digit of 5709144?
5
What is the units digit of 508094?
4
What is the units digit of 3603406?
6
What is the hundreds digit of 15553469?
4
What is the units digit of 9866324?
4
What is the hundreds digit of 16297124?
1
What is the hundred thousands digit of 107033?
1
What is the hundreds digit of 167221?
2
What is the millions digit of 10105343?
0
What is the thousands digit of 1163743?
3
What is the hundreds digit of 634795?
7
What is the thousands digit of 402335?
2
What is the tens digit of 203109?
0
What is the ten thousands digit of 5094697?
9
What is the units digit of 24669882?
2
What is the thousands digit of 5433764?
3
What is the hundred thousands digit of 192937?
1
What is the hundreds digit of 7042401?
4
What is the hundred thousands digit of 186491?
1
What is the tens digit of 1755923?
2
What is the ten thousands digit of 9725016?
2
What is the ten thousands digit of 516927?
1
What is the hundreds digit of 3501421?
4
What is the ten millions digit of 11113528?
1
What is the tens digit of 39240236?
3
What is the thousands digit of 8007966?
7
What is the tens digit of 479047?
4
What is the hundred thousands digit of 269403?
2
What is the thousands digit of 6513577?
3
What is the thousands digit of 5071602?
1
What is the millions digit of 5144159?
5
What is the thousands digit of 279912?
9
What is the units digit of 2350133?
3
What is the units digit of 648791?
1
What is the hundred thousands digit of 3674733?
6
What is the hundreds digit of 232179?
1
What is the hundreds digit of 133806?
8
What is the units digit of 6063370?
0
What is the tens digit of 7532640?
4
What is the millions digit of 5222215?
5
What is the hundreds digit of 2283404?
4
What is the hundred thousands digit of 3563580?
5
What is the hundred thousands digit of 12944257?
9
What is the tens digit of 4810056?
5
What is the hundreds digit of 917110?
1
What is the hundred thousands digit of 165721?
1
What is the thousands digit of 18393?
8
What is the hundred thousands digit of 21640061?
6
What is the units digit of 1772485?
5
What is the thousands digit of 926108?
6
What is the thousands digit of 597675?
7
What is the thousands digit of 2480893?
0
What is the units digit of 2562380?
0
What is the ten thousands digit of 385986?
8
What is the units digit of 288471?
1
What is the hundreds digit of 265783?
7
What is the hundred thousands digit of 2299098?
2
What is the thousands digit of 1329723?
9
What is the units digit of 2737762?
2
What is the units digit of 1245597?
7
What is the ten thousands digit of 21908975?
0
What is the millions digit of 3690658?
3
What is the tens digit of 198669?
6
What is the units digit of 166245?
5
What is the ten thousands digit of 28253078?
5
What is the units digit of 732589?
9
What is the hundreds digit of 94298?
2
What is the units digit of 4611049?
9
What is the thousands digit of 6325509?
5
What is the tens digit of 17002242?
4
What is the ten thousands digit of 314931?
1
What is the millions digit of 1170330?
1
What is the ten thousands digit of 3282708?
8
What is the ten thousands digit of 36303?
3
What is the ten thousands digit of 4059076?
5
What is the hundreds digit of 221105?
1
What is the hundreds digit of 1342816?
8
What is the tens digit of 407356?
5
What is the thousands digit of 481194?
1
What is the tens digit of 165798?
9
What is the hundreds digit of 26677175?
1
What is the hundreds digit of 203180?
1
What is the thousands digit of 673406?
3
What is the hundred thousands digit of 176785?
1
What is the ten thousands digit of 180865?
8
What is the ten thousands digit of 257689?
5
What is the units digit of 2339406?
6
What is the tens digit of 264434?
3
What is the tens digit of 387392?
9
What is the thousands digit of 1397711?
7
What is the units digit of 952625?
5
What is the ten thousands digit of 8007356?
0
What is the ten thousands digit of 6763736?
6
What is the millions digit of 7154481?
7
What is the hundred thousands digit of 583889?
5
What is the hundred thousands digit of 436459?
4
What is the units digit of 377266?
6
What is the millions digit of 24256113?
4
What is the tens digit of 4794031?
3
What is the hundreds digit of 139336?
3
What is the units digit of 1344281?
1
What is the tens digit of 637263?
6
What is the hundred thousands digit of 507326?
5
What is the units digit of 849526?
6
What is the hundreds digit of 399782?
7
What is the hundreds digit of 67102?
1
What is the tens digit of 383643?
4
What is the ten thousands digit of 1724856?
2
What is the hundreds digit of 885636?
6
What is the hundred thousands digit of 1201561?
2
What is the hundreds digit of 111518?
5
What is the tens digit of 38698?
9
What is the ten thousands digit of 18296?
1
What is the millions digit of 14717924?
4
What is the tens digit of 669451?
5
What is the hundred tho
|
{
"pile_set_name": "DM Mathematics"
}
|
Let y(i) = 10*i + 29. What is 2*u(q) - 3*y(q)?
-14*q - 25
Suppose -4*c + 8 = -h - 2*c, 10 = 2*c. Let u(p) = 5 - 2*p**2 - 2*p**h - 3*p**2. Let x(r) = 10*r**2 - 7. Let m = 43 - 50. Determine m*u(g) - 5*x(g).
-g**2
Let k(l) = -3*l - 2. Let r be 1/3 - 42/54*3. Let m(v) = 2 + 7*v + 2 - 1 + 1. Give r*m(w) - 5*k(w).
w + 2
Let p(w) = 2*w - 5. Let c(b) = -7 - 2 - 5 - b + 20 - 3. What is -5*c(f) - 3*p(f)?
-f
Let m(w) = w**2 - 3*w + 6. Let y(r) = r**2 - 4*r + 9. Let i be 159/33 + (-10)/(-55). Suppose -2*k + 4*d = -i - 1, 5*k = 3*d + 29. Give k*m(h) - 5*y(h).
2*h**2 - h - 3
Let i(r) = -1. Let v(m) = 2*m - 8. Let u(s) = -6*s + 23. Let z(j) = -3*u(j) - 8*v(j). Let y = 405 - 404. Determine y*z(n) - 5*i(n).
2*n
Let y(h) = -45*h + 22. Let u(q) = -q + 3. Give -6*u(b) + y(b).
-39*b + 4
Let m(w) = 6*w**2 - 5*w - 4. Let s(l) = 2993*l - 1 + 2 - 2992*l. Give m(g) + 5*s(g).
6*g**2 + 1
Suppose -w - 6 - 5 = 0. Let q(t) = -1 + 6*t**2 - t**3 + 1 + 7*t + 1. Suppose 3*x = -x - 24. Let j(h) = 2*h**3 - 11*h**2 - 13*h - 2. What is w*q(s) + x*j(s)?
-s**3 + s + 1
Let w(j) = 4*j - 4. Let i(d) = 9*d - 9. Suppose -76 = 4*q - 5*s, 5*q + 64 = 2*s - 31. Let u = 24 + q. Give u*w(p) - 2*i(p).
2*p - 2
Let k(f) = -55*f**2 - 6*f. Let z(r) = 56*r**2 + 7*r. Give 5*k(g) + 4*z(g).
-51*g**2 - 2*g
Let q(n) = 6*n**3 - 7*n**2 + 9. Let h(d) = -11*d**3 + 15*d**2 - 19. Calculate 6*h(b) + 13*q(b).
12*b**3 - b**2 + 3
Let d(x) = -4*x - 3. Let b(q) = -q. Let u = 24 - -5. Let j = -32 + u. Determine j*b(f) + d(f).
-f - 3
Let t(w) = -3*w. Let s(a) be the third derivative of a**4/6 + a**3/6 - 5*a**2 + 4. What is -2*s(x) - 3*t(x)?
x - 2
Suppose 0 = -3*b + i + 29, 7 = 4*b - 2*i + 7*i. Suppose -17 = 3*d - b. Let m(x) = 2*x**2 + 2*x - 3. Let o(v) = 5*v**2 + 6*v - 8. Calculate d*o(a) + 8*m(a).
a**2 - 2*a
Let a(x) = 2*x**3 - 10. Let p(t) = -t**3 + 5. Give 4*a(h) + 9*p(h).
-h**3 + 5
Let k(s) = 6*s**3 - s**2 + s + 3. Let r(i) = 8*i**3 - i**2 + 2*i + 4. Calculate -6*k(m) + 4*r(m).
-4*m**3 + 2*m**2 + 2*m - 2
Let i be (-555)/90 - (-3)/18. Let j(c) = -8*c + 4. Let m(x) = 7*x - 5. Give i*j(a) - 7*m(a).
-a + 11
Let b(i) = -11*i**2 + 4*i + 4. Let p(y) be the second derivative of 49*y**4/6 - 35*y**3/6 - 35*y**2/2 - 462*y. Give -35*b(a) - 4*p(a).
-7*a**2
Let b(c) = -5*c**3 + 4*c**2 - 4. Let u(m) = -11*m**2 + 722 - 711 + 20*m**3 - 6*m**3. Calculate -11*b(j) - 4*u(j).
-j**3
Let v be (2 - 1)/(1/7). Suppose q + x - 2*x - v = 0, -85 = -5*q - 5*x. Let w(r) = -6 - 7*r + 0*r + q*r. Let p(f) = 9*f - 11. Give 6*p(i) - 11*w(i).
-i
Let v(m) = 0 - 5*m + 6 + 0. Let a be -16 - -17 - (-15)/(-3). Let l(n) = -4*n + 5. What is a*l(d) + 3*v(d)?
d - 2
Let k = 3 + -4. Let s(z) = 3*z**2 - z - 1. Let i be s(k). Let l(m) = 2 - 1 + 2 + m**3 - i*m + m**3. Let f(d) = -d**3 + 2*d - 2. What is 3*f(y) + 2*l(y)?
y**3
Let h(b) = -6*b + 2*b + b + 4*b - 2*b. Let n(w) = -8*w - 8. Calculate 10*h(x) - n(x).
-2*x + 8
Let k(w) = -13*w**3 + 36*w**2 - 4*w + 9. Suppose -2*p = -4*p - 3*z + 16, 3*p - 14 = -2*z. Let d(n) = 3*n**3 - 9*n**2 + n - 2. Calculate p*k(v) + 9*d(v).
v**3 - 9*v**2 + v
Let h(q) = -q - 5. Let f(c) be the second derivative of -c**3/6 - c**2/2 + 96*c. What is -4*f(i) + h(i)?
3*i - 1
Let b(m) = -m - 3. Let j be b(3). Let a(t) = -t + 1. Let g(l) be the second derivative of l**4/6 + l**3 - 3*l**2 + 333*l. Calculate j*a(q) - g(q).
-2*q**2
Let k(l) = -2050*l**3 + 22*l**2 - 15. Let c(z) = -292*z**3 + 3*z**2 - 2. Give 15*c(s) - 2*k(s).
-280*s**3 + s**2
Let o(f) = -95*f**2 + 3*f - 3. Let q(i) = -1235*i**2 + 40*i - 40. Calculate -40*o(j) + 3*q(j).
95*j**2
Let o(f) = 3*f + 3. Let w = -14 + 16. Let n(g) = -1 + g + 3*g - 3*g - w*g. Give -7*n(r) - 3*o(r).
-2*r - 2
Let x(a) = -2064*a**3 + 33*a**2 + 33. Let i(t) = 129*t**3 - 2*t**2 - 2. What is 33*i(j) + 2*x(j)?
129*j**3
Let l(i) = -11*i + 14. Let w(b) = -3*b + 4. Let f(z) = -2*l(z) + 7*w(z). Let a(q) = 2*q - 1. What is 3*a(y) - 5*f(y)?
y - 3
Let a(d) = 3*d**3 + 15*d**2 + 12. Let p(n) = -13*n**3 - 61*n**2 - 48. Calculate -9*a(i) - 2*p(i).
-i**3 - 13*i**2 - 12
Let n(q) = 2*q + 5. Let j(f) = -f - 14. Let h(a) = a - 1. Let z(o) = -3*h(o) + j(o). What is 9*n(s) + 4*z(s)?
2*s + 1
Let l(p) = -1. Let s(u) = -u + 23. Give 2*l(t) - 2*s(t).
2*t - 48
Let k(p) = 3*p**3 + 5*p**2 + p + 7. Let g(i) = 8*i**3 + 15*i**2 + 3*i + 20. Give -6*g(j) + 17*k(j).
3*j**3 - 5*j**2 - j - 1
Let l(o) = -24*o**2 - 20*o - 5. Let q(k) = 72*k**2 + 56*k + 14. Determine 17*l(g) + 6*q(g).
24*g**2 - 4*g - 1
Let g(b) = -b + 1. Let r = 570 - 567. Let z(u) = -5*u - 7. Calculate r*g(j) - z(j).
2*j + 10
Let y(n) = 37*n**2 + 5*n + 5. Suppose -2*x + 5*g + 28 - 63 = 0, 0 = -3*x + 4*g - 35. Let j(t) = -56*t**2 - 8*t - 8. What is x*j(k) - 8*y(k)?
-16*k**2
Let g(c) = 177*c - 7. Let d(p) = 2832*p - 114. Give 2*d(k) - 33*g(k).
-177*k + 3
Let n(q) = 3*q**2 + 13*q - 871. Let o(t) = -t**2 - 4*t + 290. Give 4*n(f) + 13*o(f).
-f**2 + 286
Let p(c) = -10*c**2 + c - 8. Let l(t) = -6*t**2 + 3*t - 7. Determine -5*l(d) + 4*p(d).
-10*d**2 - 11*d + 3
Let h(a) = 8*a**3 + 5*a**2 - 24*a + 2. Let u(o) = 4*o**3 + 3*o**2 - 10*o + 1. What is 2*h(j) - 5*u(j)?
-4*j**3 - 5*j**2 + 2*j - 1
Let u(m) be the third derivative of -2*m**5/15 - 7*m**4/24 + m**2 - 134. Let f(r) = r**2 + r. Determine 21*f(y) + 3*u(y).
-3*y**2
Let h(k) = 15*k**2 + 3*k - 8. Let q(s) = 16*s**2 + 2*s - 7. Determine 4*h(b) - 5*q(b).
-20*b**2 + 2*b + 3
Let m(u) = -2*u - 1. Let r be (-135)/(-180) + 7/(-4). Let k(x) = -x - 1. Give r*m(w) + 3*k(w).
-w - 2
Let c(w) = 3*w + 2. Let k be 2/(-3 + (-22)/(-6)). Let l(f) be the second derivative of -f**3/3 - f**2/2 + 44*f. What is k*c(g) + 5*l(g)?
-g + 1
Let c(i) = -25*i**2 - 16*i + 4. Let r(y) = 25*y**2 + 18*y - 5. Calculate 5*c(x) + 4*r(x).
-25*x**2 - 8*x
Let p(i) be the third derivative of -i**6/20 - 2*i**5/15 + 7*i**4/12 + i**3/3 - 59*i**2 - 2. Let s(c) = -4*c**3 - 5*c**2 + 9*c + 1. Calculate -5*p(t) + 8*s(t).
-2*t**3 + 2*t - 2
Let r = 11 + 0. Let o(p) = 1 + 13*p**2 - 12 - 9*p**3 + r*p**3 + 10*p**3. Let z(l) = l**3 + l**2 - 1. Determine -2*o(t) + 22*z(t).
-2*t**3 - 4*t**2
Let b(l) = -3*l**3 + 2*l**2 - l + 2. Let j = -66 + 66. Suppose j*m = 6*m - 30. Let c(p) = 7*p**3 - 5*p**2 + p - 5. What is m*b(n) + 2*c(n)?
-n**3 - 3*n
Let o(g) = 13*g + 0 - 6*g**2 - 3 - 2*g. Let v be 2/(-3)*819/(-78). Let x(i) = 36 - 34 + i**2 + v*i**2 - 4*i**2 - 7*i. Give -5*o(l) - 8*x(l).
-2*l**2 + l - 1
Let z(q) = -2*q - 11. Let w(x) = x - 1. Let j(g) = 4*w(g) - z(g). Suppose 2*l = -7 + 23. Let d = 13 - l. Let f(t) = -4*t - 5. Determine d*j(s) + 7*f(s).
2*s
Let a(o) = 43 + 2*o - o - 46 + 0*o. Let d(l) = l - 5. Determine -7*a(k) + 4*d(k).
-3*k + 1
Let v(a) = 5*a**2 - 1. Let p(j) = 3*j**2 + 9*j + 4. Let u(h) = 3*h**2 + 5*h + 2. Let k(n) = 4*p(n) - 7*u(n). Calculate -3*k(r) - 5*v(r).
2*r**2 - 3*r - 1
Let m(z) = 137*z - 1. Let l(p) = -92*p + 1. What is 7*l(y) + 5*m(y)?
41*y + 2
Let i be 0 + (-10)/((-90)/(-27)). Let x(f) = -23*f**3 - 7*f**2 - 7. Let w(p) = -12*p**3 - 3*p**2 - 3. Determine i*x(o) + 7*w(o).
-15*o**3
Let a(r) = r + 1. Let m(d) = -d**2 - 2*d - 2. Suppose 0 = -2*i + 2*l + 12, -8 = 20*i - 18*i + 2*l. Let h(o) = 2*o - 4. Let v be h(3). Calculate i*m(f) + v*a(f).
-f**2
Let m(c) = -74043*c**2 + 433*c + 433. Let h(s) = 856*s**2 - 5*s - 5. Give 433*h(a) + 5*m(a).
433*a**2
Suppose 10*t - 33*t = 23. Let g(y) = y**3 + 3*y**2 - 4*y - 4. Let w(u) = -u**2 + u + 1. Determine t*g(i) - 3*w(i).
-i**3 + i + 1
Let s(v) = -3*v**2 + 3*v. Let c(l) = -6*l**2 + 5*l. Suppose 0 = o - 5, 2*o - 38 = 3*q - 2*o. Suppose 46 + 4 = 5*n. Give n*s(y) + q*c(y).
6*y**2
Let f(q) = -1134*q + 24. Let u(i) = 161028*i - 3402. What is 567*f(a) + 4*u(a)?
1134*a
Let o(b) = b - 1. Let j be 36/(-9) + -3 - -8. Let g(c) = 4*c - 2. Give j*g(q) - 5*o(q).
-q + 3
Let k(m) = 5*m. Let n(x) = 32*x + 363. Determine 6*k(y) - n(y).
-2*y - 363
Let z be (14/(-35) + 1)*(-10)/(-3). Let a(d) = d**3 + d**2 - 1. Let k(j) = 4*j**3 + 2*j**2 - 5*j - 4. Calculate z*a(g) - k(g).
-2*g**3 + 5*g + 2
Let c(x) = -5*x + 12. Let h be c(11). Let a = 49 + h. Let y(m) = 10*m**3 + 6*m**2 - 6. Let b(j) = 29*j**3 + 17*j**2 - 17. Give a*b(t) - 17*y(t).
4*t**3
Let m(y) = -180*y**3 + 11*y**2 + 11*y + 11. Let w(v) = -45*v**3 + 3*v**2 + 3*v + 3. What is 6*m(f) - 22*w(f)?
-90*f**3
Let q(m) = 14*m**2 - 4*m - 5. Let r(u) = 7*u**2 - 2*u - 2. Give -2*q(h) + 5*r(h).
7*h**2 - 2*h
Let a(
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 6928 for k.
-47
Solve -15*g + 70*g - 832 = -153*g for g.
4
Solve 243*i + 6393 + 4059 = -132*i - 27*i for i.
-26
Solve 44636 - 28904 = 412*a - 23178 - 6822 for a.
111
Solve 29064 = 727552*t - 726168*t for t.
21
Solve -336*w - 2*w = -2704 for w.
8
Solve -3696 = -122509*j + 122443*j for j.
56
Solve 52155*t + 1392 = 52039*t for t.
-12
Solve 0 = 435*m + 205*m - 24239 - 12241 for m.
57
Solve 3054 + 9438 = 370*p - 1064*p for p.
-18
Solve 44*w + 132 + 1220 = -294*w + 338 for w.
-3
Solve -324*g + 13443 = -197*g + 4299 for g.
72
Solve 0 = 494*p + 435*p + 3428*p - 135067 for p.
31
Solve 1473*n - 2913*n - 41760 = 0 for n.
-29
Solve -940 = 490*q - 1991 - 1399 for q.
5
Solve -2986*f + 22673 + 53404 + 25956 + 14421 = 0 for f.
39
Solve 60*x - 2081 - 2211 = -56*x for x.
37
Solve 0 = 85585*b - 86172*b + 76310 for b.
130
Solve -59 - 7 = -3*w for w.
22
Solve 699*k + 212*k - 9096 = -162*k - 46651 for k.
-35
Solve 12537 - 8963 = 511*g - 3580 for g.
14
Solve 0 = -4896*b + 329384 + 36549 - 3629 for b.
74
Solve -95904 = -4887*g + 6071*g for g.
-81
Solve -717*v - 556*v = 157*v - 7150 for v.
5
Solve 78*k = 6*k - 345*k - 1810*k - 120258 for k.
-54
Solve 0 = 70537*k - 70551*k + 924 for k.
66
Solve 0 = 104*g - 2508 - 2229 - 2860 + 1877 for g.
55
Solve -267*d = -414769 + 426250 for d.
-43
Solve -1722*w = 5668*w - 310380 for w.
42
Solve 0 = 436*r + 309*r + 197*r + 29202 for r.
-31
Solve 1588*h - 13060 + 3007 - 13767 = 0 for h.
15
Solve -58027*w - 47073 = -58690*w for w.
71
Solve 2878*w + 177 + 117 = 2927*w for w.
6
Solve 48*s = 227*s + 184*s - 0*s + 33396 for s.
-92
Solve -2185*k + 4073*k - 46746 = 2630*k for k.
-63
Solve -2022*a + 3101*a + 11869 = 0 for a.
-11
Solve -263*f - 11129 = 6229 for f.
-66
Solve 86*d - 2790 - 7970 = -183*d for d.
40
Solve 61*w = -476764 + 479936 for w.
52
Solve -795*r + 2825*r + 766*r = -2101*r - 78352 for r.
-16
Solve -618187*u - 6751 = -618344*u for u.
43
Solve 441*z = 2604 - 22008 for z.
-44
Solve 38473 = -853*s - 30620 for s.
-81
Solve 206*m + 10795 = -492*m + 89*m - 26*m for m.
-17
Solve -89*v - 73*v + 123 = -39*v for v.
1
Solve 6*j = -80*j - 19127 + 16891 for j.
-26
Solve 32*g - 4181 = -2544 - 3717 for g.
-65
Solve 630*d = 22781 + 4309 for d.
43
Solve -6577 = 872*b - 594*b - 183 for b.
-23
Solve 149767*u + 1690 = 149702*u for u.
-26
Solve 0 = -13117*f - 1776288 + 320301 for f.
-111
Solve -132*f - 9*f + 60286 = 560*f for f.
86
Solve 14*i = -2*i - 6*i - 322 - 250 for i.
-26
Solve -2298*y = -437 - 167317 for y.
73
Solve -13979*p - 2479*p + 1278564 = 4164*p for p.
62
Solve -2062*k - 453661 = 6749*k - 234*k + 344000 for k.
-93
Solve 88701 = 6733*v - 3209*v + 395289 for v.
-87
Solve 93*i + 152*i - 2750 = 120*i for i.
22
Solve -27*t + 1285 - 3573 = 17*t for t.
-52
Solve 2402 + 399 = -513*i - 790 for i.
-7
Solve 285160 = 2510*o - 9639*o for o.
-40
Solve 154063 = -4181*q - 172055 for q.
-78
Solve -187*r + 179*r - 94*r = -5406 for r.
53
Solve 1403*c + 72079 - 25780 = 0 for c.
-33
Solve 128*z + 104*z + 142*z - 327*z = 1222 for z.
26
Solve -166*v - 764*v - 2326 = 19*v + 10011 for v.
-13
Solve -147*l - 158*l - 4800 = 1605 for l.
-21
Solve 4637*i - 64260 = 2495*i for i.
30
Solve 44087*k = 44668*k - 41251 for k.
71
Solve -430*p - 151131 = 3480*p - 10383 + 66482 for p.
-53
Solve -56*w = -718 + 134 + 131 - 387 for w.
15
Solve -1133*n = -1372*n - 1434 for n.
-6
Solve -1717 = 109*i - 1363 + 4115 for i.
-41
Solve -18042*x = -1748730 + 70824 for x.
93
Solve 9711*a = -1356*a - 520149 for a.
-47
Solve -2000 = -26820*p + 27070*p for p.
-8
Solve 241*l + 153*l = 116*l - 9285 - 19349 for l.
-103
Solve -83041 = 403*c + 376*c + 527*c + 21439 for c.
-80
Solve -1918*g - 55917 = -326*g + 60299 for g.
-73
Solve 2*k - 36 + 57 = -67 + 4 for k.
-42
Solve -1475 + 4985 + 3688 + 857 = 179*s for s.
45
Solve 789*j = -723*j + 70008 - 9528 for j.
40
Solve -12655*b - 10816*b + 362928 + 1270344 = -502589 for b.
91
Solve -251*d - 297*d = -9691 - 12487 - 19470 for d.
76
Solve -850130 = -109*c - 845770 for c.
40
Solve 751*s + 78*s + 49712 = -127*s for s.
-52
Solve -166*l - 56958 = -917*l - 12649 for l.
59
Solve -5740*n - 85006 - 184774 = 0 for n.
-47
Solve -1766 - 999 = -206*i + 2179 for i.
24
Solve -283*f - 436*f + 117*f - 32695 = -99*f for f.
-65
Solve -3740*z + 5442*z = -4525*z - 5414*z + 651896 for z.
56
Solve 7531 = -8442*r + 8885*r for r.
17
Solve -2136*a + 912*a = 3742*a - 114218 for a.
23
Solve 60390*m + 4644 = 60261*m for m.
-36
Solve f + 28 - 105 = 29*f - 189 for f.
4
Solve -459120 = -2729*w - 3010*w for w.
80
Solve 41004537*r + 8151 = 41004394*r for r.
-57
Solve 250 + 17174 = -484*g for g.
-36
Solve -2001*d - 17787 = 60252 for d.
-39
Solve 940*q = 55*q + 9958 + 27420 - 3748 for q.
38
Solve 0 = -196*s + 14962 + 718 for s.
80
Solve 3240*g - 94115 = 268765 for g.
112
Solve 53010 = 121*x + 384*x + 171*x - 106*x for x.
93
Solve -16906*v + 199964 - 398100 - 266617 = 786291 for v.
-74
Solve 0 = -86*p - 123 - 14 - 551 for p.
-8
Solve -11805*b + 242983 = 7877*b - 1489033 for b.
88
Solve -6482 = -502*t + 2078 + 8508 for t.
34
Solve -499*t + 4655*t - 105835 = 72318 + 91987 for t.
65
Solve -1906*c + 1272 = -634 for c.
1
Solve -6741*u + 3419*u = -3437*u - 4255 for u.
-37
Solve -1767*t + 398*t + 6025 = -85698 for t.
67
Solve 13033*p - 116180 = -10203*p for p.
5
Solve -139*z + 408 - 288 + 1674 + 708 = 0 for z.
18
Solve -2059*x + 629*x = -113860 - 11980 for x.
88
Solve 0 = -606*v - 6175 - 1626 - 5531 for v.
-22
Solve 1115 + 891 - 899 = 96*v - 1773 for v.
30
Solve 150094 - 145761 = -619*o for o.
-7
Solve -146*z - 69384 + 69092 = 0 for z.
-2
Solve -110*a - 42*a = 39*a - 31*a + 1920 for a.
-12
Solve 1201 - 50811 = 773*g + 9138 for g.
-76
Solve 0 = -6*p - 18*p - 2969 + 2057 for p.
-38
Solve 33*r = -3392 + 4580 for r.
36
Solve 1058*x = 1574 - 12154 for x.
-10
Solve 0 = 109*a + 1652 + 759 + 2494 for a.
-45
Solve 335 - 765 = -7*v - 374 for v.
8
Solve 11309 - 118660 = 1057*n - 14831*n - 10933 for n.
7
Solve 8*c = 12*c - 20*c + 704 for c.
44
Solve -70*w - 615 + 787 = 872 for w.
-10
Solve 39899 = -6990*g + 382409 for g.
49
Solve 145 = -43*k + 500 - 233 + 523 for k.
15
Solve -144*o + 199034 - 207530 = 0 for o.
-59
Solve -186*p - 36649 = -30511 for p.
-33
Solve 1559*y + 5472 = 3084*y - 1573*y for y.
-114
Solve -261517 = -145*x + 1676*x - 425*x + 1433*x for x.
-103
Solve 273485 = -49*y + 275641 for y.
44
Solve 186*z + 411 = -889 - 374 for z.
-9
Solve 45*q + 84*q + 69*q + 9150 = -107*q for q.
-30
Solve 0 = 962*f - 610*f - 13728 for f.
39
Solve -4428*z = -154*z + 4014*z + 339*z - 560755 for z.
65
Solve -15553 = 1311*f + 23777 for f.
-30
Solve -12490*m = 395512 + 1178228 for m.
-126
Solve -847*f + 1500*f - 3948 = 794*f for f.
-28
Solve -504889 = -4370*q - 172769 for q.
76
Solve -4644 = -70*n - 2113 - 1621 for n.
13
Solve -97*y = -345*y - 229*y - 10971 for y.
-23
Solve -309*p + 28333 + 123497 = 1709*p + 10570 for p.
70
Solve 5553*f - 2444 - 36250 = 16836 for f.
10
Solve 25141952*o + 55 = 25141941*o for o.
-5
Solve -63*n + 2319 - 1135 = -1903 for n.
49
Solve -136*z + 3268 = -429*z + 188*z + 181*z for z.
43
Solve -228*t + 2910 + 510 = 0 for t.
15
Solve -101*z - 851*z - 4464 = -178*z - 19170 for z.
19
Solve 4520 = 547*c + 2763 - 5354 for c.
13
Solve -866*h - 5000 = -1491*h for h.
8
Solve 187*v + 2106 = -4107 + 2667 - 4682 for v.
-44
Solve -339*h = -58*h + 7025 for h.
-25
Solve -2203*r - 14196 = -2021*r for r.
-78
Solve 10017*n - 175*n + 22019*n = -414193 for n.
-13
Solve 6976*n - 203683 + 60342 - 223179 = -59576 for n.
44
Solve -27716*k + 134905 = -11564*k + 10829*k for k.
5
Solve 2102*r + 1301 + 3869 = 2337*r for r.
22
Solve 0 = -552*k + 589*k + 689 + 609 + 219 for k.
-41
Solve 673*h = 987*h + 4396 for h.
-14
Solve 4784*z - 9568*z - 18 = -4782*z for z.
-9
Solve 2928*f = 55427 + 33731 + 95306 for f.
63
Solve 0 = -3762*r + 85082 + 80446 for r.
44
Solve 1549 = -3226*p - 4903 for p.
-2
Solve 20*z = 152*z - 35*z + 11155 for z.
-115
Solve 49*o = 128*o + 269 + 363 for o.
-8
Solve -45*x - 85*x = 21*x + 2*x + 3366 for x.
-22
Solve -90*v - 171*v + 7224 + 5988 + 1404 = 0 for v.
56
Solve -12*i - 7811 = i - 7044 for i.
-59
Solve 5568995*u - 5568975*u - 520 = 0 for u.
26
Solve 1709 = 16*f + 1118*f + 32327 for f.
-27
Solve 97114*r - 4320 = 97222*r for r.
-40
Solve 99*r - 2415 = 214*r for r.
-21
Solve -5536*i - 3135*i +
|
{
"pile_set_name": "DM Mathematics"
}
|
2*r + r. Let s be (r/(-7))/(2/(-1)). Calculate the highest common factor of s and 2.
1
Let n(o) = -3*o + 54. Let l be n(16). What is the greatest common factor of 12 and l?
6
Let s(x) = 2*x**2 + 2*x. Let n be s(2). Suppose -25*u + 288 = -17*u. Calculate the greatest common factor of n and u.
12
Let h(t) = -t**2 - 4*t - 6. Let r be h(-4). Let k = r - -13. Calculate the highest common factor of k and 1.
1
Suppose 18 = 2*q - 2. Suppose -q = 4*y + 2. Let t be ((-1)/y)/((-1)/(-21)). Calculate the highest common divisor of 7 and t.
7
Suppose -4 = -3*g - g, -5*g = t - 15. Calculate the highest common factor of t and 1.
1
Let m be (4/(-12))/((-3)/(-27)). Let c be (2/m)/((-6)/36). Suppose 3*x - 16 = -4*q - 7, 4*q + 4*x = c. What is the highest common factor of 66 and q?
6
Let s = 122 - 86. Suppose -2*c + 4 + 6 = 0. Suppose w - 5*r + s = 5*w, 3*r - 58 = -c*w. What is the greatest common divisor of w and 14?
14
Suppose -2*k + 36 - 2 = 0. What is the greatest common factor of 153 and k?
17
Let y = -56 - -116. What is the greatest common factor of y and 480?
60
Let x(u) = u**3 + 5*u**2 + 2*u - 5. Let y be x(-4). Suppose -2*a + 0*a = -r - 10, 0 = -2*a - y*r - 6. Calculate the greatest common factor of a and 27.
3
Let b = -361 - -529. Calculate the highest common divisor of b and 21.
21
Let v be (4/3)/(2/6). Suppose -v*n = 2*u - 16, 0 = 5*n - n - u - 28. Suppose -3*p = -19 - 17. Calculate the greatest common divisor of n and p.
6
Let k(a) = 14*a - 5. Let i be k(1). Calculate the highest common factor of 6 and i.
3
Let f be 3/9 - (-190)/(-3). Let a be ((-108)/f)/((-4)/(-14)). Suppose -h - 40 = -4*g - 2*h, 4*h - 16 = 0. What is the greatest common factor of a and g?
3
Let d be 768/(-20) - (-4)/10. Let m be d/(-8) - 3/(-12). Calculate the greatest common divisor of 10 and m.
5
Let p(c) = 6*c**2 + 4*c - 1. Let n be p(1). What is the highest common factor of 1 and n?
1
Let r(h) = h**2 - 2. Let m be r(-2). Suppose -3*z = -0*v - v - 365, -m*v = 3*z - 350. Suppose a + z = 5*a. Calculate the greatest common factor of 10 and a.
10
Let n be ((-75)/20)/(2/(-16)). Calculate the highest common factor of 45 and n.
15
Let d be (1 + -3)*138/(-3). Suppose f + 323 = 5*s - 119, -d = -s + 2*f. Calculate the greatest common divisor of 22 and s.
22
Let y = -71 + 131. What is the greatest common divisor of 12 and y?
12
Suppose 5*l = -3 - 2. Let a be (-1 + 0/(-1))/1. Let z be a - (2*l + -4). Calculate the greatest common divisor of 5 and z.
5
Suppose 5*d - 3*v + 2 = -49, -2*d = -4*v + 12. Let c = -8 - d. Suppose -x + c = -u, 0 = -5*x - u - 2*u + 44. What is the highest common divisor of x and 7?
7
Let s = 41 + -76. Let t = 59 + s. Calculate the greatest common divisor of t and 60.
12
Suppose -3*s = 4*m - 27, s + 5 + 0 = m. Calculate the highest common factor of 48 and m.
6
Suppose 0*p = -5*p. Suppose 2*v - 4 + 0 = p. Calculate the highest common divisor of v and 3.
1
Let n(y) = -y**3 + y**2 + 2*y + 41. Let k be n(0). Calculate the highest common factor of 287 and k.
41
Let s(n) = -n**2 + n + 31. Let a be s(6). Calculate the highest common divisor of a and 5.
1
Suppose 4 - 7 = -q. What is the greatest common divisor of 15 and q?
3
Suppose 4*s - 2*s = 3*d + 82, -5*d = -2*s + 90. Let m(l) = -3*l**3 + 3*l**2 + 5. Let f be m(-4). What is the greatest common divisor of f and s?
35
Suppose -2*x + 3*q = q, -5*x + 5 = -4*q. Suppose 5*h = -3*p + 356, x*h - 307 - 161 = -4*p. What is the greatest common factor of p and 16?
16
Let r = -3 + 6. Let q = 14 + r. What is the greatest common factor of q and 153?
17
Let y = 16 + -6. Let j(g) = -2*g + 35. Let u(k) = k - 17. Let l(q) = -4*j(q) - 9*u(q). Let n be l(y). What is the greatest common divisor of n and 6?
3
Let i = 140 + -130. Let f(l) = 110*l**3 - l + 1. Let p be f(1). What is the greatest common factor of p and i?
10
Let y be (-2)/7 - (-23)/7. Suppose -3*x + 4*r + 7 = 0, 3*r - r = 4. Suppose x = 4*a - y. Calculate the greatest common divisor of 14 and a.
2
Let i = 347 - 204. Calculate the highest common factor of 13 and i.
13
Suppose x + 0*x = 4. Let f = 2 + 1. Suppose -x*a = 4, -2*k + f*a + 22 = 5*a. What is the highest common factor of 108 and k?
12
Let x be (-14)/(-4) - (-3)/(-6). What is the highest common divisor of 33 and x?
3
Let s = -40 - -49. Calculate the highest common factor of 18 and s.
9
Let n = -2 - -4. Suppose 0 = -0*j - 5*j + 30. What is the highest common divisor of j and n?
2
Let q = -35 - -42. Suppose -2*b - b + 21 = 2*m, -5*b + m = -35. Calculate the greatest common factor of q and b.
7
Let m be 4/18 - 1440/(-81). Calculate the highest common factor of 90 and m.
18
Let f = -140 + 145. What is the highest common factor of 40 and f?
5
Let v(c) = -c. Let d be v(7). Let y = d + 11. Calculate the highest common divisor of y and 12.
4
Let r(h) = -h + 1. Let a(p) = p**3 + 13*p**2 - 11*p + 9. Let m(l) = a(l) + 3*r(l). Let i be m(-14). What is the greatest common factor of 3 and i?
3
Let s(q) = -q + 4. Let m be s(2). Suppose -54 = -0*c - m*c. Calculate the greatest common divisor of 27 and c.
27
Let x be 12 + -14 + 1*35. What is the highest common factor of x and 132?
33
Let k(r) = -3*r - 18. Let d be k(-7). Suppose h = d + 8. Suppose 2*x + y = 159, -2*y = x + x - 164. What is the highest common factor of x and h?
11
Suppose -2*t + u + 4 = 3*u, 4*t + 2*u - 12 = 0. Let c be 13/1 + (1 - 1). Suppose 2*q + c = -t*n + 45, 5*n = 0. What is the highest common divisor of q and 32?
16
Suppose 3 - 2 = -5*j + t, 2*t - 2 = 5*j. Let p(r) = r**2 - 6*r. Let l be p(5). Let u = j - l. What is the highest common factor of u and 25?
5
Let i be (-2)/(-4) - (-1573)/26. Let j = i - 21. Calculate the greatest common divisor of 5 and j.
5
Suppose -96 = -s - 3*s. Let k(t) = 11*t**2 - t. Let q be k(-1). Calculate the greatest common divisor of q and s.
12
Suppose -4*g - 4 = 0, 1 = z - g - 6. Let c be 4/6 - 4/z. Let p be (c - -1)/((-2)/(-8)). Calculate the highest common factor of p and 20.
4
Let n be 20/(3 + (-5)/2). Calculate the greatest common divisor of n and 5.
5
Let u(v) = -35*v + 2. Let l be u(-2). Let f be (-6)/(-30)*-2 - (-276)/15. Calculate the greatest common factor of f and l.
18
Suppose -4*w + 2*o - 38 = 0, -17 = w - 0*o + o. Suppose 0 = -u - 0*u - 24. Let d = w - u. What is the greatest common divisor of 12 and d?
12
Let d be (-3)/(2/(-24)*2). Let b be (18/(-8))/(4/(-96)). Calculate the highest common factor of b and d.
18
Let u = 420 - 300. Let r = -13 + 28. Calculate the greatest common factor of r and u.
15
Let f(t) = -t**2 + 3*t + 10. Let a be f(6). Let l(y) = -y**3 - 8*y**2 - 7*y - 8. Let v be l(a). What is the highest common divisor of v and 6?
6
Suppose -4*u - q + 131 = 20, -2*u - 5*q + 33 = 0. Suppose -4*b + 7 = -u. What is the highest common divisor of 81 and b?
9
Suppose -s = -5*s + 12. Suppose 0 = 3*a - 2*a + 2*m - 27, 3*a - s*m = 45. What is the greatest common factor of 19 and a?
19
Suppose 11*c - 4*c - 539 = 0. Let n = 24 - 13. Calculate the highest common divisor of c and n.
11
Let k be 1/(-4)*(-4 - 6)*2. What is the greatest common divisor of k and 40?
5
Let f be (-25)/6 - (-1)/6. Let k be 2 - f/4 - -3. Calculate the greatest common factor of k and 24.
6
Let a(w) = -w**2 + w + 55. Let m = -7 + 7. Let i be a(m). Suppose -3*x - 4*c + 27 = -c, 2*c - 23 = -3*x. What is the highest common divisor of i and x?
5
Let h(y) = -10*y - 8. Let u be h(-4). Calculate the highest common divisor of u and 4.
4
Let y = 36 + -26. Let p be (-2)/y - 1824/(-20). What is the highest common factor of 13 and p?
13
Let q be 57 - 2/(-8)*0/(-1). What is the highest common factor of 38 and q?
19
Suppose -5*r + 70 = 2*n - 16, -5*n + 79 = 4*r. Suppose -o = -5*o + 64. Calculate the highest common factor of o and r.
16
Let y(v) = 23*v - 4. Let o be y(8). Calculate the greatest common divisor of 18 and o.
18
Let z = 70 - 51. Calculate the highest common factor of 437 and z.
19
Let f be (-4)/14 + (-46)/(-14). Suppose v = -5*u + 17, 0 + f = -v. Calculate the highest common divisor of 4 and u.
4
Suppose -19*k = -13*k - 36. Let d(t) = 2*t**2 + 3 - 2*t**2 + t**2 + 5*t. Let v be d(-6). Calculate the greatest common factor of v and k.
3
Let k(d) = -d**2 - 8*d - 9. Let l be k(-7). Let v be 1900/36 + l/(-9). Suppose -m + v + 7 = 0. Calculate the greatest common div
|
{
"pile_set_name": "DM Mathematics"
}
|
20.
3/10
Calculate ((-1)/(-14))/(7/(-770)) + 175 + -168.
-6/7
(2 - (-52)/(-30))/(10 + (-480)/50)
2/3
Calculate (-14)/6*(13 + (-640)/336 + -11).
-2/9
(-1 - (-69)/60)/(((-1296)/120)/(-3))
1/24
5*38/1140*66
11
What is (-10 - (-1848)/196) + 309/210?
9/10
Calculate (-4 - -4 - 4) + 4 + (-204)/85.
-12/5
(-3)/(-9 + (-13569)/(-1482) + 8/(-104))
-38
Evaluate ((-7 - -3)/(20 + -5))/(-2).
2/15
Evaluate 17/(-4) - ((-2013)/132 - -13).
-2
What is (-5)/15 + 276/(-36)?
-8
What is the value of 32/(-9)*798/1064?
-8/3
Calculate (1/(-1)*(-140 + 138))/23.
2/23
Calculate (1345/(-6725))/(3/5).
-1/3
Evaluate 700/125*(-9)/12 - -4.
-1/5
Calculate 2422/3460 - 74/20.
-3
Evaluate 9350/(-775) - (-6)/93.
-12
What is -6*4/80*6*(-1)/(-6)?
-3/10
(126 + -156)*2/110
-6/11
What is the value of (-4)/1 + 244/62 - (-7150)/(-14105)?
-4/7
What is (18450/(-20))/(-41) + 3/6?
23
Evaluate ((-350)/(-40) - 13)/(1/(-4)).
17
31*37/(-1221)*-33
31
Evaluate ((-2)/(-8) - 31/4)*(173 + -171).
-15
What is (-2)/1 - 5 - -30?
23
(-17 - ((-255)/34 - 10))*25
25/2
What is 1/(-11) - (10 - -2)*66/(-30008)?
-2/31
(432/(-126))/(95/35 + -3)
12
What is the value of 1*-5 + (-7093)/(-1189) + (-2)/(-58)?
1
Evaluate (0 + (-16 - -1))*1/3.
-5
((-175)/250)/(9/((-315)/(-14)))
-7/4
What is (-2 + (-9)/(-4))*((-9)/3 + 7)?
1
Calculate (22/(-44) + 0 + 0)/(7/2).
-1/7
What is (-5)/660*134 - -3*30/108?
-2/11
Calculate (-20412)/18711 + (-174)/22.
-9
Evaluate (-357)/102*(-60)/(-14).
-15
What is the value of -5 + 690/42 + -12?
-4/7
Calculate (-4)/(-5)*(-10)/(-4)*(-2905)/(-830).
7
Calculate 42/(-42)*((-80)/(-12))/4.
-5/3
1*(-24*(-29)/(-1160))/((-4)/(-30))
-9/2
What is ((-43)/344)/(1/(-12))?
3/2
What is (-180)/(-990)*6/4?
3/11
Evaluate -2*14/(-7) + 2*(-5 - -3).
0
Evaluate (4/72)/(280/(-315)).
-1/16
What is 38 + (-4609)/121 + (0 - 658/22)?
-30
Calculate (18/4 - 6)/(119/42 - 3).
9
Evaluate -24 - 1748/(-76) - (6 - 1*-2).
-9
What is the value of -11 - (-3 + 1376/(-176))?
-2/11
Evaluate ((-832)/(-52) + 296/(-18))*-72.
32
((-3096)/126 + 25)*-6
-18/7
Evaluate (52/(-936))/((-1)/15).
5/6
Evaluate ((-15)/(30/(-28)))/(-8 - (-5 - 9)).
7/3
What is ((-2)/5)/(-2) + (-6)/(-20)*-14?
-4
Calculate (380/(-1330))/(15/(-21)).
2/5
Evaluate 33/210 + 5*42/(-700).
-1/7
Calculate 5/6*54/(-60)*(-2)/(-27).
-1/18
8 + (-17)/(8/56*7)
-9
What is the value of -5 + (-1115)/(-55) + ((-6)/22 - 0)?
15
Calculate (-1240)/(-5456)*(-4)/(-15).
2/33
What is (-2)/6*3*(-2 + (-2 - -23))?
-19
Calculate 108/4824*(-4)/(-3).
2/67
(175/(-200))/((-546)/24)
1/26
Evaluate -11 - (-84)/6 - (3 + -2).
2
Calculate (6/4)/((-2)/(-4))*78/(-390).
-3/5
What is the value of (5/(-3) - 1)/((-597)/1791)?
8
(249/83)/(3*-1)
-1
What is the value of 806/(-65) - (-8)/20?
-12
Evaluate 25 + 686/(-28) + (-11)/14.
-2/7
Evaluate (-221)/(-17)*(-69)/(-39).
23
235497/34130 + 34/(-10) + 1
9/2
Calculate ((-120)/75)/((-4)/20) - -4.
12
What is the value of (-78)/143 - 11102/(-22814)?
-1/17
Calculate (-290)/58 - (-1 + (-58)/14).
1/7
Calculate (-8 - 2304/(-280))*(-7)/(-2).
4/5
What is 78 - (8 + -7 - -42)?
35
What is the value of (-80)/(-36) + 10/(-45)?
2
What is the value of ((-54)/(-324))/(65/(-30) - -2)?
-1
15/70 - (-3348)/840
21/5
Calculate ((56/(-49))/(-8))/(532/(-152)).
-2/49
Calculate (-26 - -84) + -28 - 7.
23
What is the value of 213/(-142)*(-3)/((-198)/(-20))?
5/11
What is the value of 3/7 - ((-3)/63)/((-11)/(-132))?
1
Calculate ((-6)/(-5))/(39/(20475/(-70))).
-9
(-10)/(-6)*162/48*226/(-339)
-15/4
((10 - 8)*2/6)/((-240)/270)
-3/4
What is the value of 4/(-30) + (-7552)/960?
-8
Calculate -9 + ((-151)/(-453) - 16/(-6)).
-6
Calculate (-6)/(-102) + -3*(-50)/1785.
1/7
Evaluate 4/(-48)*(-15 + (-784)/(-48)).
-1/9
Calculate (1176/390 - 3)/(-2 - (-187)/110).
-2/39
What is the value of 28/(-56)*(1 - 44/52)?
-1/13
What is ((-34)/51)/(-1) + (-48)/(-9)?
6
What is -12 + 6 - (-38)/6?
1/3
Calculate 120/(-50)*(-25)/(-15).
-4
What is ((-45)/25 + -4 - -7) + (-24)/(-5)?
6
What is 6/(36/(-30) - 162/(-60))?
4
What is 63/91*(-2028)/(-234)?
6
What is (-12)/156*(58 - 59)?
1/13
What is the value of (-156)/(-858) - (-64)/(-594)?
2/27
What is the value of (-14)/(-4)*(-59)/(5782/560)?
-20
What is (-1198)/1797*(-6)/(-130)?
-2/65
What is (-7)/((-98)/(-406)) + -2 + 25/5?
-26
What is the value of (-4)/11 - 12*(-651)/29106?
-2/21
-2 + 4 + 2 - 13
-9
What is the value of 4 + -24 + 10 + (18 - 20)?
-12
What is -4 + 2 - (-63)/27*1?
1/3
What is the value of (14 - 108/8)/(2/(-28))?
-7
Evaluate (6 - (-10)/(-2))*(-16)/152.
-2/19
Evaluate 360/300*((-50)/(-12))/5*10.
10
Evaluate 135/(-189) - (-23)/42.
-1/6
Calculate 1/3 - ((-1106)/(-105) - 4/20).
-10
Evaluate (-1674)/(-90) + -18 - 98*(-2)/(-60).
-8/3
(90/(-1725))/(1 + (-14)/35)
-2/23
Calculate (1 - -1) + (-936)/(2652/68).
-22
Calculate (-6)/(-38) - (8 - 11832/(-1292)).
-17
Calculate -3 - (-7)/2 - (-7 - (-240)/(-32)).
15
Calculate 10/145*-1 + 13/(12064/22336).
24
Evaluate 3/(-2)*158/395.
-3/5
Evaluate 4 - 12 - ((-6)/(-14) + (-812)/(-49)).
-25
2 - (29 - 8) - -15
-4
63/(10143/(-92)) - (-17)/(-7)
-3
22 - 13/(130/400)
-18
What is the value of 55/(-5) + 1189/123?
-4/3
Calculate (32/(-12) + 3)/((-21)/(-63)).
1
Calculate 14*(-5)/80 - -3*(-2)/(-6).
1/8
What is the value of -490 - -468 - 328/(-15)?
-2/15
What is the value of (-246)/36 + 0 - (-14)/(-84)?
-7
Evaluate 25/6 + (-90)/540.
4
Evaluate (-121)/(-242) + (-212)/56 + 2.
-9/7
Evaluate (-15)/(2520/(-2364))*1 + -14.
1/14
Calculate (48/156)/((-21)/(2184/16)).
-2
Evaluate (8/112)/(-2 - (-14)/8).
-2/7
Evaluate (((-1)/(-2))/((-3)/6))/(4062/56868).
-14
Evaluate -26 + 63 + -37 + (-1)/3.
-1/3
Evaluate ((-6)/(-33) + (-33)/(-484))*1130/113.
5/2
What is the value of 18/(-8)*9/(297/(-88))?
6
What is the value of -2*4 + (-5)/(-165)*11*-9?
-11
Calculate (22/(-12))/(((-290)/60)/(-29)).
-11
Calculate 4/(2*(-7)/35*1).
-10
Calculate (-20)/3 + (1044/(-54) - -19).
-7
Evaluate (74 + -65)/(558/(-4)).
-2/31
What is 1992/(-1660)*(-3)/((-33)/(-5))?
6/11
Evaluate (4 + 75/(-20))/(323/(-136)).
-2/19
What is the value of 0/(-25 - (-83 + 29))?
0
Calculate (164/20 + -7)*125/(-10).
-15
Evaluate (-14)/42*6 + (-468)/(-126).
12/7
What is (1048/16 - 5)*((-145)/(-11) - 13)?
11
Evaluate (-1076)/2421 + (0 - 21/(-108)).
-1/4
(0/(5 - 11 - -5) + 0)/1
0
What is the value of 18/(9 + (-138)/24 + -4)?
-24
Calculate 0 + (8 - (0 + 4)/1) + 3.
7
What is the value of 95/(-105) + 24/42 - 4/42?
-3/7
((-1372)/(-56) - (-9)/6)*3/(-6)
-13
What is the value of 12/20 - 1 - (-65)/130?
1/10
What is 1625/17875 - (-298)/(-11)?
-27
Calculate 7/49 - (-576)/(-1386).
-3/11
Evaluate (3 + (-3474)/1170)/(-1*2/(-10)).
2/13
What is ((-814)/(-111))/((-10)/15) - 16?
-27
(1*(-2 + 3))/((-68)/102)
-3/2
Evaluate (((-20)/3)/((-2)/(-3)))/2.
-5
Evaluate ((-14)/(-2)*(-6)/12)/((-22)/(-44)).
-7
Calculate (-192)/(-208)*(-390)/(-20).
18
Calculate (-8)/(-84)*(-224)/96.
-2/9
Evaluate (-27 - (-7458)/276)*-4.
-2/23
What is the value of -5*(-2 - 0) - (-22)/(1782/(-405))?
5
2/(-16)*(-8)/10*(16 - 6)
1
Evaluate (-1008)/(-216)*9/42.
1
Calculate 8/44 + (-1560)/594 + 3.
5/9
Calculate (8 - 6)*(-15)/6*(-30)/3075.
2/41
What is ((-6 - -20) + -21)*(1 - 45/35)?
2
What is the value of 82/(-205) + 16/10*-6?
-10
Calculate (-632)/4977*(-9)/2*(-1 - 0).
-4/7
Evaluate -4*52/468 + (-31)/(-63).
1/21
What is the value of (-16 - (25 - 20)) + 8/6*-3?
-25
(-4257)/1463 - (-40)/760
-20/7
Evaluate (-7 - -9) + 5/4*-1.
3/4
What is the value of (-2580)/(-12040)*(2 + (-62)/24)?
-1/8
What is 0/(((-39)/(-26))/((-15)/10))?
0
What is (-5)/(14/12*(-150)/210)?
6
What is the value of 6/15 + ((-212667)/(-630))/(-41) + 7?
-5/6
Calculate -38 + 42 - (-2 + 13).
-7
Calculate 76/5 - (-30 - -45).
1/5
Evaluate ((-7848)/8829)/(7/9).
-8/7
32 + (-4917)/154 - (-530)/28
19
((-6)/21)/((-20)/(-56))
-4/5
What is (3*100/(-105))/(10/35)?
-10
Evaluate (-9)/(-2) + 15/(-35) + (-100)/28.
1/2
-45 + 17 + 7/1
-21
What is ((-2)/(-22))/((-10)/(-55)) - (-28)/(-48)?
-1/12
What is the value of (-1980)/(-1200) - 4/10?
5/4
What is the value of 2/((-942)/(-39) - 24)?
13
What is ((-16)/(-3))/2*(11 - 3250/300)?
4/9
What is the value of (13*10/65)/(27/(-12))?
-8/9
192/(-5856) + 1039/61
17
What is 24/(-18)*((-8)/16 + 0)?
2/3
What is the value of 639/18 - 16 - 17?
5/2
132/121 - 156/143
0
Evaluate -6 + ((-165)/20)/(-1) - 3.
-3/4
Evaluate (39/(-65))/(11 + 250/(-20)).
2/5
Calculate (10/48 - 0)*90/50.
3/8
What is (-624)/(-63) + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
-9 - -7. Calculate the lowest common multiple of 14 and 1 - v - (-12)/(-6).
14
Let l = -2/71031 + -1916963/31040547. Let y = l - -36865/9614. Find the common denominator of y and 47/26.
286
Let a = 791010491/328 + -2411627. Let z = -40/41 + a. What is the common denominator of 1112/(-36)*1/(-4) and z?
72
Let c = 3 + -23. Calculate the common denominator of 1/(-2) - c*(-4)/24 and 97/36.
36
Find the common denominator of (2 - (-152 + 8))/70 and -49/40.
280
Suppose -6*h + 80 = -h - 2*m, -m = -3*h + 48. Let f = 17 + -1. Calculate the least common multiple of f and h.
16
Let h = -89737 + 13460671/150. Find the common denominator of h and 46/15.
150
What is the common denominator of 2/(-11) - (188/55 - 3) and 4 + ((-196)/24 - -2)?
30
Let d = -60635 - -10186643/168. Find the common denominator of -89/210 and d.
840
Suppose 5*t = -3*i - 61, 2*t + 3 = -1. Let l(b) = -b - 5. What is the smallest common multiple of l(i) and 16?
48
Let n(d) = -d - 7 + 1 - 2. Let i(c) = -4*c**2 + 3*c. Let y be i(2). What is the least common multiple of n(y) and 28?
28
Suppose 2*f - 8 = -2*f. Let c be 49/f - 5/10. Suppose -5*v = 4*p - 3*p - 44, 2*p + c = 4*v. What is the smallest common multiple of 9 and v?
72
Let s = -51 + -40. Let b = -65 - s. Let g = -18 + b. What is the lowest common multiple of 16 and g?
16
Let n = 2226 - 8995/4. Let x = 4867/1036 + 13/148. Calculate the common denominator of n and x.
28
Let z be 15909/24 + 1/8. Let u = z + -3294/5. Calculate the common denominator of -89/6 and u.
30
Let h(a) = -5*a**2 + 90*a + 2. What is the smallest common multiple of h(12) and 7?
2534
Let b be 50/6 + 6/9. Suppose -2*o = 5 - b. Suppose -6*z + o*z = -88. What is the least common multiple of z and 6?
66
Find the common denominator of ((-402)/(-18))/((-30)/9) and 33/173.
1730
Suppose -7518 - 19858 = -59*g. What is the least common multiple of 32 and g?
928
Suppose 13 - 100 = -j. Calculate the lowest common multiple of 3 and j.
87
Suppose 6 = 5*a - 9. Suppose -28*m - 10*m = -304. Calculate the smallest common multiple of a and m.
24
Let l = 13023/11 + -1186. Let b be 0/1 - (2907 + 5). Let h = 23337/8 + b. What is the common denominator of l and h?
88
Suppose -3*g = 3*h + h - 28, 3*h + 4 = 4*g. What is the lowest common multiple of h - (-20)/3*3 and 18?
72
Let o = -452 + 474. What is the smallest common multiple of 18 and o?
198
Suppose 2*x - 3*x + 1 = 3*o, -4*x = -5*o - 4. Let t be 25 - 3/(1/x). Let m = -10 + t. Calculate the lowest common multiple of 5 and m.
60
Let f be (-20)/(-6)*(56/(-35) + 4). Suppose -f*t + 48 + 192 = 0. What is the smallest common multiple of 2 and t?
30
Suppose -27*d + 20 = -7. Calculate the lowest common multiple of 90 and d.
90
Suppose -7*a + 5 = 12. Let z = a + 13. What is the lowest common multiple of z and 10?
60
Calculate the lowest common multiple of 9 and 4*133/224 + 6/(-16).
18
Let d be (1/(-1))/((-2)/6). Suppose d*o = -t + 12, 3*o + 3*t = -t + 3. Suppose 0*f + 2*f - 3*a - 2 = 0, 0 = a. Calculate the lowest common multiple of f and o.
5
Find the common denominator of (-2)/9 - 1221/2970 and 13/72.
360
Let y = 220 + -204. Calculate the smallest common multiple of 40 and y.
80
Let m = 101 - 213/2. Let v(r) = r**3 + r**2 + 2*r - 2. Let s be v(2). Calculate the common denominator of s/(-18) - 3/(-2) and m.
18
Suppose -4*h + p + 953 + 734 = 0, -1717 = -4*h - 5*p. Let m = 169 - h. Find the common denominator of -85/6 and m/24 + -2 - -3.
12
Let p be 1666/85*(-20)/(-2). Let m be (1 - -2)*1*-1. Calculate the common denominator of 3 - (p/36 + m) and -7/5.
45
Let o = -7797 + 740732/95. Calculate the common denominator of o and -2/95.
95
Let a(u) = 6*u + 3. Let g be a(3). Calculate the least common multiple of 7 and (-1 - 10/(-6))/(g/63).
14
Let x be (-174)/(-21) + 4/(-14). Suppose -5*a + 7 = -x. Let h(p) = p + 3. Calculate the lowest common multiple of h(a) and 46.
138
Suppose -82*s = -79*s - 588. Calculate the least common multiple of s and 8.
392
Suppose b - 3*b = 4*y - 72, -36 = -2*y - 4*b. What is the common denominator of (-18)/128*(-1452)/99 and 1/y*606/(-4)?
48
Calculate the common denominator of 17/32 and (-10)/(-35) - (-2001)/(-168).
32
Calculate the common denominator of 3/130 and (-108)/26 + 40/(-80) + 6.
130
Let w(u) = -28*u**2 - 2*u + 18. Let z be w(7). Let d = 16429/12 + z. Calculate the common denominator of -85/8 and d.
24
Let a = 322 + -8921/28. Calculate the common denominator of a and 33/98.
196
Let o(k) = k**3 + 2*k**2 - 2*k + 3. Let l be o(2). Let t = -1330/3 - -437. Find the common denominator of t and 9/l*4/(-3).
15
Let h be 8/(-10) - 2/10. Calculate the smallest common multiple of 20 and (3 + -4)/(h/58).
580
Let c = 3919/11 + -360. Calculate the common denominator of c and -17/15.
165
Calculate the common denominator of ((-6)/(-15) - (-4052)/1020) + -3 and -79/12.
204
Find the common denominator of 75/44 and (-35)/20 - (-282)/132.
44
Let c = 22 - 5. Suppose 523 = 5*f + 123. Let x = 86 - f. What is the smallest common multiple of x and c?
102
Let c(n) = n**2 - 3*n - 4. Suppose 50 = 9*v - 4. Let j be (-5)/(4 - (-1 + v)). What is the least common multiple of 1 and c(j)?
6
Let g(t) = 7*t + 9. Suppose 0 + 9 = 3*y. Let c be g(y). Find the common denominator of 35/8 and 685/c*1 + 0.
24
What is the smallest common multiple of 4 + -2 + 2 - 0/1 and 168?
168
What is the common denominator of (-5729)/476 + (-1)/(-7)*2 and -85/1028?
1028
Suppose d + 2*h = 2 + 1, 15 = 5*d - 5*h. Suppose 2*f + 5*i - 12 - 2 = 0, f + d*i - 8 = 0. Calculate the smallest common multiple of (-1)/4 - (-9)/4 and f.
2
Suppose 0 = 7*q - 5*q - 32. Calculate the smallest common multiple of 48 and q.
48
Calculate the common denominator of 790/(-264)*(-4 + (-992)/(-240)) and -127/110.
990
Suppose 0 = 23*k + 53 - 809 - 509. What is the lowest common multiple of k and -1 + 7 + (-3)/3?
55
Let x = 566 + -4535/8. What is the common denominator of x and 4*2/((-96)/115)?
24
Let o = 716 + -450. Calculate the smallest common multiple of 152 and o.
1064
Let h(j) = -5*j + 14. Let s be h(4). Let o = 1617 - 22667/14. Calculate the common denominator of o and 3 - 417/(-432) - s/27.
112
Let f = -134 - -366. Let j = -10 - -30. Calculate the lowest common multiple of j and f.
1160
Let u = -1333693/52 + 25649. What is the common denominator of u and -91/6?
156
Suppose -3*c + 2*u = -0*u + 31, -c - 5*u = 33. Let z = c + 18. Suppose 103*x = 96*x + 28. What is the lowest common multiple of z and x?
20
Let v(g) = 2*g**3 + 11*g**2 - 5*g - 13. What is the lowest common multiple of (0 - -10)/(3 - 2) and v(-5)?
370
Let y = 22213/7 - 3179. Let q(t) = 14*t + 4. Let s be q(-3). Find the common denominator of y and 1 + -1 + s/(-14).
7
Let d be 4/(8/3)*50. Suppose d = 4*u - u. Find the common denominator of -5 - -4 - (-40)/11 and u.
11
Let w(k) = -k + 13. Let h be w(15). Let p = -1862 - -14849/8. What is the common denominator of ((-4)/104)/(h + (-23)/(-12)) and p?
104
Let c(j) = -13*j**3 - 6*j**2 - 6*j - 3. Calculate the lowest common multiple of c(-3) and 351.
2808
Let y(j) = j**2 - 25*j - 81. Calculate the smallest common multiple of y(28) and 493.
1479
What is the common denominator of (-7434)/72*(-4)/182 and -31/35?
910
Let v = 1018 + -928. Calculate the least common multiple of 69 and v.
2070
Let w = 533524/59 + -9043. Let b = 6155/354 + w. Find the common denominator of b and 79/2.
6
Suppose -2*v - 491 = -4*t + 237, 3*t + 4*v = 557. Find the common denominator of 3 - (t/33 + 2) and 2 - 2/(-8)*17.
44
Let z be (-2)/((-5)/50*-4). Find the common denominator of 19/12 and 18/(-15)*z*76/(-162).
108
Suppose 175 = 2*x + 5*x. Let p = x + -23. Calculate the lowest common multiple of (1/2)/((-5 - -3)/(-44)) and p.
22
Let u = -10457 - -982919/94. Let m = -5039 + 100837/20. What is the common denominator of u and m?
940
Let i = -13406/5 + 21467/8. Find the common denominator of 1 - ((-230)/(-36) - 1) and i.
360
Let b = 1 + 10. Calculate the lowest common multiple of 21 and b.
231
Let l be (-2)/(-7) - 63296/(-42). Let v = 1531 - l. Let z = 1185 - 8268/7. Find the common denominator of z and v.
21
Suppose 6 = r + 3*c, 3*r + 3*c = -r + 60. Calculate the smallest common multiple of 3 and r.
18
Suppose -3*m = -0*m - y - 70, y + 24 = m. Let z = 4248 - 21161/5. Let a = m - z. What is the common denominator of
|
{
"pile_set_name": "DM Mathematics"
}
|
s**3 + 24*s**2 + 126*s - 215. Calculate j(-13).
6
Let v(b) = 32*b**3 + 38*b**2 + 208*b + 281. What is v(-4)?
-1991
Let m(v) = 394*v - 18049. What is m(46)?
75
Let g(v) = 1658*v**2 - 252000*v - 2436. Determine g(152).
-4
Let g(c) = -2*c**3 - 367*c**2 - 1953*c + 895. Give g(-178).
5
Let r(u) = -u**3 - 950*u**2 - 3787*u - 23. Give r(-4).
-11
Let i(s) = 21*s**3 + 13*s**2 - 17503*s - 17514. Determine i(-1).
-19
Let b(v) = v**2 + 115*v - 2232. Determine b(18).
162
Let f(q) = 17459*q**2 - 69843*q + 17. Calculate f(4).
-11
Let q(p) = -p**2 + 936*p - 19240. Calculate q(21).
-25
Let c(f) = 3*f**2 - 638595*f - 3193056. What is c(-5)?
-6
Let q(o) = -2*o**3 + 507*o**2 + 1274*o + 1600. Determine q(256).
64
Let c(v) = 897*v - 332140. Calculate c(370).
-250
Let o(r) = -2*r**3 + 288*r**2 + 61*r - 49621. Give o(143).
0
Let p(b) = 834*b**2 - 35074*b + 130. Calculate p(42).
-1802
Let t(r) = 281*r + 64150. Calculate t(-237).
-2447
Let r(p) = 2*p**3 - 243*p**2 - 374*p + 603. What is r(123)?
-12
Let q(o) = o**3 + 107*o**2 + 969*o + 8858. What is q(-98)?
332
Let i(d) = -53*d**2 - 26*d - 413. Calculate i(-7).
-2828
Let q(c) = c**2 - 67758*c + 4602899. Calculate q(68).
-21
Let t(i) = -i**3 - 26*i**2 - 36*i - 1125. Give t(-27).
576
Let y(c) = 11*c**2 + 5*c - 99. Determine y(0).
-99
Let b(z) = z**3 + 35814*z**2 + 5491641*z + 148. Determine b(-154).
-6
Let j(h) = 3*h**2 + 2570*h - 39225. What is j(15)?
0
Let n(j) = 319*j**2 - 663*j + 1364. Give n(2).
1314
Let z(u) = 382*u - 2054. Calculate z(4).
-526
Let g(j) = 6*j**2 - 365*j + 1069. Determine g(58).
83
Let r(i) = -476*i - 180915. Determine r(-380).
-35
Let d(c) = 2*c**3 - 58*c**2 + 2676*c - 69332. Calculate d(27).
4
Let n(j) = -9*j + 1480. Give n(162).
22
Let f(i) = -2*i**2 - 87*i + 1240. Calculate f(-33).
1933
Let g(b) = -43039*b + 5207726. What is g(121)?
7
Let g(b) = -262*b**2 + 33562*b - 3335. Determine g(128).
-7
Let q(l) = 48*l**2 + 9364*l + 775. What is q(-195)?
-5
Let s(f) = -9*f**2 + 570*f + 518. What is s(63)?
707
Let f(k) = -135309*k + 3112075. Give f(23).
-32
Let b(m) = 270857*m - 2166865. Calculate b(8).
-9
Let r(i) = -2*i**3 + 9*i**2 + 298*i - 3364. What is r(11)?
-1659
Let a(w) = w**3 + 97*w**2 + 945*w + 86. Calculate a(-86).
172
Let n(w) = 773*w + 443553. Determine n(-574).
-149
Let x(g) = g**3 + 357*g**2 + 18754*g + 144. Calculate x(-64).
16
Let q(x) = 12*x**3 - 1684*x**2 + 550*x + 1360. Give q(140).
-40
Let h(y) = y**3 - 126*y**2 - 28*y + 4041. Give h(126).
513
Let c(t) = t**3 - 69*t**2 - 2264*t + 43121. Determine c(89).
45
Let v(t) = t**3 + 5*t**2 - 428*t + 2291. What is v(14)?
23
Let c(u) = -1920*u - 927099. What is c(-483)?
261
Let n(p) = -6*p**3 - 22*p**2 - 41*p + 220. Determine n(-6).
970
Let k(m) = -10*m**2 + 575*m + 265. Give k(58).
-25
Let z(a) = 476*a - 83016. Calculate z(174).
-192
Let w(z) = -3*z**3 + 336*z**2 + 1571*z - 910. Determine w(-5).
10
Let i(q) = -q**2 + 183*q - 6474. Determine i(45).
-264
Let p(u) = -12*u**2 + 1181*u - 6053. Determine p(93).
-8
Let c(b) = -15523*b - 4268794. Calculate c(-275).
31
Let j(y) = -y**3 - 11*y**2 + 112675*y + 1464433. What is j(-13)?
-4
Let f(i) = -2431279*i - 14587683. Give f(-6).
-9
Let p(g) = -2*g**3 - 41*g**2 + 169*g - 45. What is p(-24)?
-69
Let o(b) = 3*b**3 - 119*b**2 + 103*b - 956. Give o(39).
19
Let q(b) = -69*b**3 - 3244*b**2 - 34*b + 255. Give q(-47).
-356
Let m(r) = -86*r**2 - 20*r + 75. Determine m(3).
-759
Let u(g) = -883*g - 23970. Calculate u(-28).
754
Let l(q) = 11009*q - 66103. Calculate l(6).
-49
Let d(r) = -3*r**2 - 939*r - 9160. What is d(-10)?
-70
Let u(i) = -185944*i - 2231333. What is u(-12)?
-5
Let t(j) = 1552*j - 100879. Calculate t(65).
1
Let y(s) = 8*s**2 - 63*s + 42. Give y(7).
-7
Let u(j) = j**2 - 768*j - 6993. Calculate u(-9).
0
Let y(p) = -34813*p - 313245. Calculate y(-9).
72
Let a(m) = 224*m + 2130. Calculate a(-9).
114
Let j(l) = 2446*l + 14363. Give j(-6).
-313
Let w(x) = x**3 - 11*x**2 - 32*x + 234. Calculate w(-10).
-1546
Let u(k) = k**3 - 1547*k**2 + 86363*k - 59. Give u(58).
-1
Let s(m) = -548*m + 2496. Give s(5).
-244
Let p(d) = 17983*d - 28. What is p(0)?
-28
Let f(u) = -3*u**3 - 51*u**2 - 112*u - 1009. Give f(-14).
-1205
Let b(t) = 17750*t - 5981728. Determine b(337).
22
Let m(y) = -503*y + 206236. What is m(410)?
6
Let r(g) = 45*g + 998. Calculate r(-21).
53
Let f(r) = r**2 - 9281*r + 3373861. What is f(379)?
3
Let o(f) = 2*f**2 - 10*f - 26680. Calculate o(118).
-12
Let t(f) = 2232*f**3 - 42*f**2 + 98*f - 57. What is t(1)?
2231
Let v(i) = 14*i**3 - 13*i**2 + 40*i + 74. Give v(4).
922
Let y(t) = t**2 + 573*t + 60918. Determine y(-141).
6
Let b(y) = -8*y**3 - 2158*y**2 + 7105*y + 1914. What is b(-273)?
3
Let s(j) = -5*j**3 + 151*j**2 - 68*j + 5938. Determine s(31).
-14
Let f(g) = -g**3 + 136*g**2 + 310*g - 4286. Calculate f(138).
406
Let j(a) = 21*a**2 + 739*a - 339. Determine j(-36).
273
Let s(q) = -180*q + 23604. Determine s(131).
24
Let k(n) = -8*n**2 - 778*n - 5285. Determine k(-7).
-231
Let l(n) = -92*n**3 - 3*n**2 + 113*n + 332. Determine l(-3).
2450
Let q(a) = -a**3 - 247*a**2 - 1902*a - 403. What is q(-239)?
-2793
Let v(r) = -3*r**3 - 10*r**2 + 41*r + 258. Determine v(-4).
126
Let q(u) = -23*u**3 + 9*u**2 - 12*u - 5. Determine q(3).
-581
Let y(u) = -6*u**3 + 24*u**2 - 105*u - 8. What is y(4)?
-428
Let b(k) = 4179*k - 21006. Calculate b(5).
-111
Let c(n) = 4274*n + 312006. What is c(-73)?
4
Let l(h) = 3*h**2 - 696*h + 16039. Determine l(26).
-29
Let u(k) = 1790*k + 5003. Determine u(-3).
-367
Let d(b) = 3*b**2 - 58*b - 3472. Give d(45).
-7
Let l(m) = -8*m**2 - 1851*m + 5140. Determine l(-234).
226
Let k(t) = 207*t + 3801. Calculate k(-19).
-132
Let z(o) = 4*o**2 - 26*o - 93. What is z(9)?
-3
Let w(v) = -2*v**2 + 833*v - 2507. What is w(3)?
-26
Let a(p) = -7*p**3 - 8090*p**2 + 10396*p - 19674. Calculate a(-1157).
-5
Let a(i) = -5*i**2 + 3894*i - 19393. Calculate a(5).
-48
Let x(h) = 63*h**3 - 705*h**2 - 1449*h - 436. Calculate x(13).
-7
Let u(d) = 2*d**2 + 5598*d + 50226. Give u(-9).
6
Let k(m) = 5*m**3 + 71*m**2 - 133*m - 22. What is k(2)?
36
Let g(f) = -f**3 + 67*f**2 - 635*f + 3. Determine g(11).
-206
Let w(n) = -5*n**2 - 272*n + 3813. What is w(15)?
-1392
Let m(p) = 9697*p - 126277. Calculate m(13).
-216
Let d(f) = 7968*f + 15985. Determine d(-2).
49
Let f(i) = 2*i**3 - 2028*i**2 - 151760*i - 25. Calculate f(1084).
-25
Let w(s) = -116*s - 28310. What is w(-244)?
-6
Let l(t) = 3*t**2 + 1028*t - 26332. Give l(24).
68
Let k(p) = 18*p**3 - 1355*p**2 + 1702*p + 74. Determine k(74).
74
Let f(s) = 149*s**2 + 546*s - 1100. Calculate f(2).
588
Let r(b) = 3*b**3 + 61*b**2 - 582*b + 1163. Give r(4).
3
Let q(l) = -4*l**2 - 1352*l - 10555. Give q(-8).
5
Let j(u) = 2*u**3 - 11*u**2 - 3795*u + 19012. Determine j(5).
12
Let m(s) = -s**2 - 836*s + 199798. What is m(194)?
-22
Let p(b) = b**3 - 949*b**2 - 1067*b + 111132. Determine p(950).
-18
Let w(h) = 290*h**3 + 14*h**2 + 12*h + 3. Determine w(-1).
-285
Let n(c) = 2006*c + 37501. What is n(-18)?
1393
Let r(a) = -400*a + 1948. Calculate r(4).
348
Let l(b) = -b**3 - 353*b**2 + 853*b - 76539. Determine l(-356).
1
Let p(a) = -118*a - 505. Determine p(-5).
85
Let g(x) = -5*x**3 - 53*x**2 + 460*x + 36. Give g(6).
-192
Let v(z) = 52*z**2 + 755*z - 10. Determine v(-15).
365
Let m(x) = x**3 + 106*x**2 - 553*x - 132. Calculate m(-111).
-354
Let s(i) = 127120*i + 889849. What is s(-7)?
9
Let l(p) = -1127*p + 33816. Determine l(30).
6
Let s(m) = 3*m**3 + 263*m**2 + 558*m + 56831. What is s(-88)?
-17
Let u(c) = 9*c**2 + 367*c + 2527. Give u(-7).
399
Let r(b) = b**3 + 5*b**2 + 15*b + 146. What is r(0)?
146
Let h(j) = 931*j + 66218. Calculate h(-71).
117
Let i(k) = -k**2 - 47482*k - 569625. What is i(-12)?
15
Let q(z) = 6*z**2 + 223*z - 3019. Determine q(10).
-189
Let r(j) = -771*j + 108715. What is r(141)?
4
Let z(x) = x**2 - 159780*x - 639139. Determine z(-4).
-3
Let a(k) = -2*k**3 - 40*k**2 - 574*k - 8571. Give a(-18).
465
Let x(z) = -3*z**3 + 44*z**2 - 527*z + 7235. Determine x(14).
249
Let j(g) = -568*g + 23435. What is j(42)?
-421
Let v(c) = c**2 - 561*c + 26349. Determine v(51).
339
Let f(q) = -59195*q + 5090762. Give f(86).
-8
Let z(p) = p**2 - 222*p - 29360. What is z(-94)?
344
Let q(i) = 400085*i - 1200258. Calculate q(3).
-3
Let q(d) = -d**3 - 2209*d**2 - 82497*d + 31.
|
{
"pile_set_name": "DM Mathematics"
}
|
= -2*t. What are the prime factors of t?
2, 5
Let b be 2/6 - 66/9. Let n be 5 - 3 - 4 - -13. Let c = b + n. What are the prime factors of c?
2
Let s(a) = 6*a - 2. Suppose 2 = m, -2*m + 39 = -5*p + 5. Let c = -4 - p. What are the prime factors of s(c)?
2, 5
Let n be (-1225)/(-10) + 1/2. Suppose -3*i - 33 = -n. What are the prime factors of i?
2, 3, 5
Let g = 78 + -15. List the prime factors of g.
3, 7
Suppose -5 = 2*s - 117. List the prime factors of s.
2, 7
Let x = -7 - -9. Suppose -3*k + 15 = 0, 8 = x*l + 5*k - 57. Let f = -12 + l. What are the prime factors of f?
2
Let p(c) = -c**2 + 3*c + 143. List the prime factors of p(0).
11, 13
Suppose f + 84 = -f. Let c = -25 - f. List the prime factors of c.
17
Suppose 3*h = 5*a + 21, -4*h + 17 = -0*a - 3*a. Suppose r + 0 + h = 0. What are the prime factors of r/5 - 64/(-10)?
2, 3
Let w be (22 - 2) + (-12)/4. Suppose -3*q + 4*q = w. List the prime factors of q.
17
Suppose 12 + 18 = -3*m. What are the prime factors of -1 + -1 - (m - -1)?
7
Let t = -438 - -692. List the prime factors of t.
2, 127
List the prime factors of (-158)/(-14) - 10/35.
11
Suppose 0 = 2*w - 7*w. Let j = 0 + w. Suppose j*c + 2*c = 28. List the prime factors of c.
2, 7
Suppose -4*h = 2*h + 288. Let v be (1 - 1) + (-60)/2. Let o = v - h. What are the prime factors of o?
2, 3
Let q be 4/20 + (-92)/10. Let a = q - -5. Let v = a + 10. What are the prime factors of v?
2, 3
Let v(u) = -u + 4. Suppose 2*a - a = 0. Let w be v(a). Suppose 2*r + 18 = w*t, -2*r + 18 + 0 = 2*t. List the prime factors of t.
2, 3
Let w = 0 + 4. List the prime factors of w.
2
Let l(q) = -q - 1. Let x be l(5). Let b(j) = j**2 + 6*j + 4. Let d be b(x). Suppose -16 - d = -5*z. What are the prime factors of z?
2
Let u = 179 + -145. List the prime factors of u.
2, 17
Suppose 5*y + 0*y = 2*o - 474, 0 = 5*o + 4*y - 1119. What are the prime factors of o?
227
Suppose j = -2*j. Suppose -5*w + a = -j*a - 84, w - 36 = 5*a. What are the prime factors of w?
2
Suppose 5*m = 11 + 19. Let k(j) = -j**2 + 3. Let h be k(0). List the prime factors of 16 + -1 + m/h.
17
Let c be -3 + 5 + (-6)/(-2). Let d be (-2)/(-8) + (-7)/(-4). Suppose -3*h + 21 = -d*t, h + c*t - 12 = 4*t. List the prime factors of h.
3
Let b(s) = 2*s - 4. Let j be b(4). Let o be -2*(-1 - 2/4). Suppose 2*d = j*p + d - 37, 4*p - 31 = o*d. What are the prime factors of p?
2, 5
Let y(b) = 74*b**3 + b**2 - 1. Let m be y(1). Let z = -45 + m. List the prime factors of z.
29
Suppose -8*h - 113 + 1001 = 0. List the prime factors of h.
3, 37
Suppose -g - 3*l = -2, -2 = -2*g + 5*l + 2. Suppose 6*x + g*h - 18 = 3*x, 4*x + 4*h = 28. What are the prime factors of x?
2
Let y = 10 + -9. List the prime factors of (-1)/(1/y) + 15.
2, 7
Let f(l) = -l**3 + l - 5. Let x be f(0). Let j(r) = r**3 + 4*r**2 - 6*r + 1. What are the prime factors of j(x)?
2, 3
Let t be ((-2)/(-1))/((-6)/(-3)). Let y = 7 + t. Suppose -g = s - y - 4, 4*s - 48 = -2*g. List the prime factors of s.
2, 3
Suppose -3*v + 177 = 5*g + v, 0 = 3*g + 4*v - 111. Let m be 3 - 4*4/16. Suppose 9 = -m*a + g. List the prime factors of a.
2, 3
Suppose 5*t - 9*t + 256 = 0. What are the prime factors of t?
2
What are the prime factors of (-4)/5 - (-264)/55?
2
Let o(q) = -5*q**2 + 1. Let f(s) = 26*s**2 - 6. Let i(l) = -2*f(l) - 11*o(l). Let k be i(-3). Suppose 0 = 2*j + 2*j - k. What are the prime factors of j?
7
Let l(g) = 2 + 3*g - 2 - 4 - 2*g. Let u be l(4). Suppose u = -5*d - 6 + 46. List the prime factors of d.
2
Let k(h) = -h**3 + 8*h**2 - 3*h + 1. List the prime factors of k(6).
5, 11
Let l(w) = -w**2 + 17*w + 11. Let u(k) = k**3 - 3*k**2. Let y be u(4). List the prime factors of l(y).
3
Suppose 314 = 14*k - 190. What are the prime factors of k?
2, 3
Let b(l) = -l**2 - 6*l + 16. Let r be b(-8). Suppose -2*f - 12 = -2*n, r = -3*n + 2*f - f + 24. What are the prime factors of n?
3
Let k = 0 + 3. Suppose 0 = -k*i - i + 40. List the prime factors of i.
2, 5
Let m = -19 + 68. Let c = m + -10. What are the prime factors of c?
3, 13
Let z = 14 + -9. List the prime factors of z.
5
Suppose -18 + 3 = -3*f. Let l be (f/(-2))/1*-2. Suppose 0 = -l*m + c + 14, 0 = m - 3*c - c - 18. What are the prime factors of m?
2
Let b(d) = d**3 + 5*d**2 - 5*d. Let g be b(-5). Let m be g - 1/1*-2. Suppose 0 = 2*i + i - m. List the prime factors of i.
3
Let v be -11*(1 - 0)/1. Let i = v + 24. List the prime factors of i.
13
Let s be ((-2)/4)/(1/(-8)). Let v = 6 - 4. Let z = s - v. List the prime factors of z.
2
Suppose 2*p = -4, 0*l + 382 = 5*l + 4*p. What are the prime factors of l?
2, 3, 13
List the prime factors of (-72)/(-60)*130/4.
3, 13
Let h = -2 + 3. What are the prime factors of (-124)/(-12) - h/3?
2, 5
List the prime factors of 76/(-6)*(-27)/6.
3, 19
Let k be (-41)/(-5) + (-1)/5. Let m = k + -2. What are the prime factors of m?
2, 3
List the prime factors of 153 - (-2 - 1)/(-3).
2, 19
Suppose -2*h = -2*n - 14, 0 = -2*h - 0*h - n - 1. Suppose 2*y = y + h. List the prime factors of (-106)/(-10) + y/5.
11
Let y(m) = m - 1 + 43*m**2 - 2*m - 34*m**2. Let v = -2 - -1. What are the prime factors of y(v)?
3
Let c(m) = m**2 - 7*m - 6. Let i be c(10). Let f = i + -17. What are the prime factors of f?
7
Let y = 13 - -60. What are the prime factors of y?
73
Suppose -13 = -2*y - z, -3*z = 3*y - z - 21. Suppose y = -5*c + 125. List the prime factors of c.
2, 3
Let y(r) be the second derivative of -r**5/20 - r**4/3 - r**3/6 - 2*r**2 - 2*r. Let h be y(-4). Suppose -8 = -h*m - m. What are the prime factors of m?
2
Let p(z) = z - 2. Let i be p(4). What are the prime factors of (-8)/i*(-10)/4?
2, 5
Suppose 7*i - 4*i + 34 = 2*m, i = -2. What are the prime factors of m?
2, 7
Suppose 9*p - 4*p = 180. What are the prime factors of p?
2, 3
Let y = 1 + -1. Let u = -3 + y. Let g = u - -11. List the prime factors of g.
2
List the prime factors of ((-1 - 0) + 4 - -229) + 3.
5, 47
Let y(x) = x**3 - 2*x. Let s be y(-2). Let k = s + 6. List the prime factors of k.
2
Let r(z) be the second derivative of 51*z**5/20 + z**4/6 - z**3/3 + z**2/2 - 3*z. What are the prime factors of r(1)?
2, 13
Let i = 676 - 438. Suppose -55 = -g - t, 8*g - 5*t - i = 4*g. Suppose -3*f - 2*f - 4*s + g = 0, 33 = 3*f + 3*s. List the prime factors of f.
13
List the prime factors of -1 - 84/(8/(-2)).
2, 5
Suppose -3 - 1 = -a. Suppose -5 = k, g - 5*g + 37 = -5*k. Suppose f = a*s - 27, g*f + f + 18 = s. List the prime factors of s.
2, 3
Let w(z) = 3*z - 6. Let v be w(5). Suppose -2*c = -j - 46, -v = -c - 3*j + 14. What are the prime factors of c?
23
Suppose f = 2*f - 3. Suppose 5*d = 5*q - 5 - 15, -f*d - 4*q + 16 = 0. Let h = 3 - d. List the prime factors of h.
3
Let g = -5 + 10. Let y = -5 - -8. Let j = g - y. What are the prime factors of j?
2
Let k(i) = i**3 - 9*i**2 - 18*i + 17. List the prime factors of k(11).
61
Let l = -21 - -45. Let x = l - -16. What are the prime factors of x?
2, 5
Let o(a) = -25*a**2 - a. Let p be o(-1). Suppose -4*c - 2 = 5*z - 14, z = -5*c - 6. List the prime factors of (z + -2)/((-3)/p).
2
Suppose 3*a + 5*j = 7, 5*a - a + j = -2. Let m be 0/2*a/2. Suppose m = 3*d - 28 + 7. What are the prime factors of d?
7
Let i(v) = -10*v + 11. Let k be i(8). Let z = -47 - k. Let y = -12 + z. What are the prime factors of y?
2, 5
Let y be (-2)/(-8) - 123/12. Let g(l) = -l**3 - 10*l**2 - l - 2. List the prime factors of g(y).
2
Let a be (-3)/4*1*-4. Let u = a + -3. Let v = 11 + u. List the prime factors of v.
11
Let y be (4/(-8))/(3/12). What are the prime factors of y*(-7)/((-7)/(-2))?
2
Let a(b) = -b**3 + b**2 + b + 1. Let w(z) = z**2 + 3*z - 2. Let c be w(-4). Let g be a(c). Let d = 4 + g. What are the prime factors of d?
3
Suppose 80 = 2*j + 28. What are the prime factors of j?
2, 13
Let x(q) be the second derivative of q**3/6 + q**2 - q. Suppose -2*f = -10 - 0. What are the prime factors of x(f)?
7
Let h(k) = -k**3 + 10*k**2 - 9*k + 2. Let n be h(9). Suppose -2*x - 4*w = -16, 2*w - 4 = n. Suppose -24 = -2*y - x*y. What are the prime factors of y?
2, 3
Suppose -3*h - 17 = -2*z, -1 = -5*z + 2*h + 36. Suppose -s = 3*s - 16. Suppose o = -s + z. What are the prime factors of o?
3
List the prime factors of (9/(-6))/(3/(-22)).
11
Let k be 23 + 0 + (2 - 1). Let c = -41 + 25. Let i = c + k. List the prime factors of i.
2
Let u = 38 - 26.
|
{
"pile_set_name": "DM Mathematics"
}
|
0)/8)?
2/9
(40*(-6)/(-1050))/((-4)/10)
-4/7
Calculate -6*(-1)/30*-4.
-4/5
What is the value of (-4)/5*(-20)/(-8)?
-2
Calculate (-2)/(-7)*(-105)/(-120)*1.
1/4
What is ((-1)/18*2)/((-10)/15)?
1/6
What is (9/((-225)/(-10)))/(4/10)?
1
Evaluate 4*9/(-18)*-2.
4
Calculate 10*4/1000*15/2.
3/10
Evaluate ((-8)/(-24)*0)/5.
0
Evaluate (4/170)/(2/(-10)).
-2/17
What is (-12)/9*(-27)/(-6)?
-6
What is -10*(-4)/(-48)*(-18)/(-60)?
-1/4
What is the value of (6/(-8))/(5*9/(-300))?
5
What is 8*-1*-3*(-5)/(-30)?
4
What is ((-18)/24)/((-2)/(-8))?
-3
What is (3168/486)/(-22)*(-3)/(-4)?
-2/9
((-4)/(-108)*-3)/(2/(-3))
1/6
What is the value of -3*(-1)/6*-2?
-1
What is the value of 38/57*5/(20/(-21))?
-7/2
((-1)/((-1)/(-2)))/(4/(-8))
4
What is the value of (1/(-1))/(56/(-16))?
2/7
((-96)/(-128))/(3*-1)
-1/4
What is -10*(-2)/5*1/4?
1
(-172)/43*(-2)/40*2
2/5
Calculate (-36)/8*6*(-3)/(-27).
-3
Calculate ((-90)/(-36)*(-16)/(-10))/(-14).
-2/7
Calculate 6/15*(-240)/64.
-3/2
Calculate (-12)/70*23/(69/10).
-4/7
(-12)/(-2)*(-50)/(-300)
1
What is the value of (8/(-14))/(154/(-49))?
2/11
Calculate ((-1)/2)/(30/20)*-21.
7
What is the value of ((-12)/(-30))/((-70)/(-75))?
3/7
What is (39/(-6))/(-13)*-2?
-1
What is (20/18)/(283/(-2547))?
-10
Evaluate 2*(6/2)/(-6).
-1
What is (-2)/1*(-10)/130?
2/13
What is (-27)/21*34/(-153)?
2/7
((-2)/3)/((-96)/(-36))
-1/4
(3*24/(-48))/(24/2)
-1/8
What is the value of 2/(-6)*(-30)/5?
2
Evaluate ((-3)/(-4))/(((-162)/(-48))/(-3)).
-2/3
(64/(-8))/32*4/3
-1/3
Evaluate 2/(-8)*-6*48/(-180).
-2/5
What is the value of ((0/(-3))/(-6))/(2/(-2))?
0
Calculate ((-8)/(-54))/((-176)/264).
-2/9
(2/2)/((-3)/15)
-5
What is (-12)/((-8)/32*-8)?
-6
Evaluate (-2)/(-3)*(-3)/9.
-2/9
(-2)/4*5*(-30)/25
3
Calculate (3/(-42))/((-15)/60).
2/7
(16/(-10))/(2*(-2)/2)
4/5
(27/(-36))/(10*(-6)/(-32))
-2/5
(-9)/(45/10)*1/15
-2/15
What is -3*(-3)/(-30)*(-152)/(-57)?
-4/5
Calculate (6/(-8))/(56/(-32)).
3/7
What is ((-16)/(-180))/(4/10)?
2/9
((-1)/12)/((-12)/(-36))
-1/4
Evaluate (8/(-27)*(-27)/(-18))/(-2).
2/9
What is the value of 2/20*-4*1*-15?
6
Calculate (-1)/(7/((-21)/(-9))).
-1/3
118/295*(10/(-4))/5
-1/5
What is the value of (4/(-336)*-4)/(4/24)?
2/7
((-2)/(-3))/(24/(-27))
-3/4
Evaluate 16/336*36/3.
4/7
What is the value of 80/12*21/28?
5
Evaluate 2/((63/7)/(-9)).
-2
Calculate 3/(-4)*(-6)/9.
1/2
(-8)/114*19/((-304)/(-24))
-2/19
(7/((-196)/12))/((-4)/84)
9
What is ((-660)/1155)/((-4)/(-42))?
-6
((-12)/126)/(6/(-14))
2/9
2/6*6/(-2)*9
-9
What is the value of 54/(-99)*-1*11?
6
What is the value of (-6)/(-8)*(-34)/51?
-1/2
What is ((-4)/(-60)*-5)/(4/(-3))?
1/4
What is the value of (-10)/12*(-99)/(-165)?
-1/2
Calculate (27/(-90))/((-21)/35).
1/2
Calculate (10/15)/(4/24).
4
What is the value of (-5*(-54)/30)/((-12)/(-8))?
6
Calculate (16/(-40))/(1*(-18)/(-9)).
-1/5
What is the value of 9*(-75)/(-1215)*(-4)/5?
-4/9
What is the value of 2/(-12)*-4*(-36)/12?
-2
What is the value of (-5)/(-10)*(-4)/2?
-1
What is (-1080)/(-972)*((-18)/15)/2?
-2/3
What is 3/(29/((-290)/40))?
-3/4
What is (3/(-5))/((-9)/(-5))?
-1/3
(-2)/(-1*1)*(-3475)/(-1390)
5
What is (20/(35/7))/(2*-1)?
-2
What is the value of 100/(-25)*(-1)/4?
1
What is the value of (-3*10/(-75))/((-36)/10)?
-1/9
(20/50)/(1/(-10))
-4
Calculate (-1)/(6/9)*-2.
3
Evaluate (4/(-8))/((-7)/(21/(-12))).
-1/8
What is 24/(-18)*6/4?
-2
Evaluate (-232)/87*(9/(-2))/3.
4
Evaluate 2*25/(-10)*1/1.
-5
Calculate ((-6)/42*4)/2.
-2/7
Calculate (-5)/(-2)*8/60.
1/3
Evaluate (-8)/(-3)*(-66)/44.
-4
Calculate ((-16)/14)/(-15*20/(-2100)).
-8
What is (5*4/50)/(5/(-25))?
-2
(-1)/11*(-2)/1
2/11
Calculate (-12)/(-32)*-4*6.
-9
What is 81/(-9)*2/(-3)?
6
What is (-12)/6*(-27)/90?
3/5
(16/(-28))/((-35)/(-49))
-4/5
(-1)/((-2)/(6/(-6)))
-1/2
Evaluate ((-8)/6)/((300/72)/(-25)).
8
Evaluate (-3*(-20)/(-24))/(5/4).
-2
What is the value of 3/6*(-24)/84?
-1/7
What is ((-3)/(-180)*-6)/((-1)/2)?
1/5
9/(-6)*-4*(-1)/2
-3
(-1)/(((-20)/(-8))/5)
-2
Calculate (125/625)/((-1)/(-5)*-4).
-1/4
Evaluate ((-132)/110)/(4/10).
-3
(-93)/(-124)*64/(-6)
-8
What is the value of ((-23)/46)/(2/((-72)/3))?
6
10/3*12/10
4
What is the value of (348/336)/29*4?
1/7
Calculate 1/(4*(-1)/20).
-5
What is the value of (1*(-4)/6)/(21/9)?
-2/7
(2/7)/((-75)/(-105))
2/5
(-2)/(2/8*2)
-4
Evaluate (-4)/((-12)/((-24)/4)).
-2
What is the value of ((-7)/(7/3))/((-54)/(-4))?
-2/9
What is (1/(-1))/(-5*4/60)?
3
((-26)/(-195))/(8/(-20))
-1/3
What is (6/45)/((-54)/30)?
-2/27
((135/(-25))/(-9))/((-3)/(-5))
1
What is (-84)/(-12)*18/63?
2
Calculate ((-60)/140)/((-6)/56).
4
(-6)/(-8)*5/(-5)
-3/4
What is ((-30)/(-100))/(6/(-10)*2)?
-1/4
What is -2*2/(-50)*15/(-12)?
-1/10
What is the value of (6/2)/((-30)/20)?
-2
Calculate (((-4)/(-1))/20)/(22/(-385)).
-7/2
((-9)/12)/((7590/80)/(-23))
2/11
What is (-5)/(-270)*-2*6?
-2/9
Calculate (6/(-14))/((105/10)/7).
-2/7
Evaluate (5/((-675)/(-10)))/((-4)/(-6)).
1/9
Evaluate (9/(-36))/(18/(-8)).
1/9
Evaluate (1/1)/(-20)*(-288)/108.
2/15
What is 60/(-50)*(-9)/18?
3/5
4/(-14)*3*44/66
-4/7
What is the value of (-36)/(-78)*-5*(-1)/15?
2/13
What is 13/130*2/((-4)/(-15))?
3/4
Calculate (2/10)/((-3)/(-30))*-1.
-2
What is the value of 7/3*(140/147)/(-10)?
-2/9
What is the value of (4/24)/(6*2/(-168))?
-7/3
Calculate 10*(-3)/(-12)*(-12)/(-75).
2/5
Calculate -5*9/(-60)*4.
3
Evaluate (30/245)/(6/14).
2/7
Evaluate 2*((-27)/36)/(2/4).
-3
What is ((-9)/15)/((-198)/(-220))?
-2/3
Calculate (18/24)/((-42)/(-448)).
8
What is (-180)/40*(-2)/(-15)?
-3/5
What is 10/60*(-1)/((-9)/(-12))?
-2/9
What is the value of 58/(-29)*2*(-1)/(-1)?
-4
What is the value of 0/4*5/(-15)?
0
(8/28)/(8/(-112))
-4
What is (6/4)/((-29)/((-435)/(-60)))?
-3/8
What is the value of (2/6*4)/((-30)/(-45))?
2
What is (0/(12/((-18)/(-6))))/(-3)?
0
What is ((-4)/(-20))/((-2)/4*2)?
-1/5
What is 3/((-2)/4*14/7)?
-3
Evaluate ((-4)/9)/((-24)/(-108)).
-2
Evaluate 30*66/(-44)*(-2)/(-9).
-10
What is (1/3)/(-2*7/42)?
-1
Evaluate (4/12)/((-57)/(-54)*3).
2/19
6/3*(-1)/2
-1
What is the value of (18/10)/(6/(-20))?
-6
Calculate (18/(-36))/(-2*3/48).
4
Calculate (-3)/3*-1*5.
5
Calculate 3/5*(-20)/4.
-3
Calculate 1*(-6)/(-15)*1/2.
1/5
Evaluate 18/(-6)*4/6.
-2
Calculate ((-5)/(-15))/(1*6/(-4)).
-2/9
(6/(-15))/(-6*(-2)/60)
-2
Calculate ((-56)/21*6/4)/(-22).
2/11
What is the value of (5/(-5))/(88/(-33))?
3/8
What is the value of ((-18)/(-3))/(10/(-5))?
-3
Evaluate (1/(12/9))/(6/56).
7
What is ((-24)/18)/(-4)*-3?
-1
((-4)/5)/(((-168)/(-20))/(-7))
2/3
What is the value of 0/3*18/(-72)?
0
Calculate ((-20)/35)/(51/(-119)).
4/3
What is the value of (4/(-4))/(4/80*4)?
-5
What is the value of (-5)/(-9)*-1*(-6)/15?
2/9
(15*(-2)/(-80))/((-15)/4)
-1/10
What is the value of (-2)/(-10)*2*-1*5?
-2
(-4)/(-2)*((-7)/(-17))/(-7)
-2/17
((-35)/(-15))/((20/(-5))/12)
-7
What is (-180)/(-75)*(-10)/(-6)?
4
What is ((-39)/(-117))/((-1)/(-9))?
3
((-41)/((-574)/(-12)))/(1/(-7))
6
(0/(-88))/((-4)/(-2))
0
Evaluate ((-18)/(-20))/(87/145).
3/2
What is the value of (1/8)/(5*2/(-60))?
-3/4
What is 3/(-4)*(-1)/(3/6)?
3/2
((-1)/2)/((-91)/728)
4
1*6*(-58)/(-87)
4
12/(-42)*(-21)/15
2/5
(-35)/630*(-6)/(-4)
-1/12
Calculate 8/(-12)*10/8*-6.
5
Evaluate 4/(-21)*(-4)/((-8)/3).
-2/7
What is the value of (-49)/7*((-7)/6)/(-7)?
-7/6
What is the value of (20/(-60)*6/11)/(-1)?
2/11
Evaluate ((4/120)/1)/(2/(-5)).
-1/12
What is 96/(-56)*-21*1/6?
6
Evaluate 6/63*459/(-102).
-3/7
Evaluate 5/(-200)*-2*4.
1/5
Calculate (6/14)/((-12)/21).
-3/4
Evaluate ((-28)/40)/(168/(-60)).
1/4
What is the value of (5/(-45))/((-45)/(-54))?
-2/15
((-6)/3)/((-48)/(-6))
-1/4
7/((7/28)/((-12)/(-112)))
3
(4/(-10))/((-24)/20)
1/3
What is the value of ((-6)/12)/((-3)/2)?
1/3
What is the value of (-2)/(-3)*12/(-28)?
-2/7
Evaluate (-13)/((-78)/(-60))*(-3)/6.
5
What is 9/((-1215)/(-6))*-5?
-2/9
((-92)/161)/((-7)/(49/(-10)))
-2/5
((-2)/12)/((-8)/4)*4
1/3
Evaluate (86/(-215))/((-2)/20).
4
(2/(-7))/(3/((-27)/18))
1/7
1/(-3)*(-351)/(-273)
-3/7
Evaluate 0/(-3*5/30*4).
0
Calculate 2/(2*3/9).
3
((-12)/(-78))/(-2)*-13
1
Evaluate (-57)/(-76)*(-2)/21*4.
-2/7
What is the value of (2/10)/(7/35)?
1
((-1)/(-10))/(3/(-30))
-1
Calculate (44/165*5)/(20/15).
1
Evaluate 2*(-10)/(-20)*(-2)/(-4).
1/2
What is ((-2)/90)/((-49)/(-147))*-2?
2/15
Evaluate 30/(-10)*1*-1.
3
Calculate (-35)/(-182)*56/70.
2/13
2/3*(-21)/(-112)
1/8
Calculate (9/54*-3)/((-2)/(-12)).
-3
-2*(2
|
{
"pile_set_name": "DM Mathematics"
}
|
sands digit of 1037197?
0
What is the units digit of 123994?
4
What is the hundred thousands digit of 6343159?
3
What is the tens digit of 111766?
6
What is the hundred thousands digit of 189904?
1
What is the ten thousands digit of 92745?
9
What is the thousands digit of 1319717?
9
What is the hundred thousands digit of 2012912?
0
What is the thousands digit of 22386671?
6
What is the tens digit of 2995755?
5
What is the ten thousands digit of 9133472?
3
What is the units digit of 1448901?
1
What is the hundreds digit of 1770501?
5
What is the millions digit of 1196025?
1
What is the ten thousands digit of 695557?
9
What is the hundreds digit of 1460160?
1
What is the units digit of 1219774?
4
What is the thousands digit of 46960?
6
What is the millions digit of 5509317?
5
What is the hundreds digit of 222751?
7
What is the hundred thousands digit of 4313406?
3
What is the millions digit of 2558501?
2
What is the ten thousands digit of 206665?
0
What is the hundreds digit of 1058378?
3
What is the tens digit of 136357?
5
What is the units digit of 2302326?
6
What is the tens digit of 59823?
2
What is the hundreds digit of 487792?
7
What is the hundred thousands digit of 150825?
1
What is the hundreds digit of 6232088?
0
What is the hundreds digit of 5023369?
3
What is the units digit of 251977?
7
What is the hundred thousands digit of 481342?
4
What is the hundreds digit of 5719026?
0
What is the thousands digit of 115486?
5
What is the hundred thousands digit of 11592749?
5
What is the ten thousands digit of 86745?
8
What is the millions digit of 6150558?
6
What is the thousands digit of 99596?
9
What is the hundred thousands digit of 13038416?
0
What is the hundreds digit of 15721287?
2
What is the hundred thousands digit of 2560340?
5
What is the hundreds digit of 12555560?
5
What is the units digit of 8640487?
7
What is the millions digit of 3766821?
3
What is the thousands digit of 2990849?
0
What is the tens digit of 250687?
8
What is the ten thousands digit of 1226510?
2
What is the units digit of 1437940?
0
What is the ten thousands digit of 10676048?
7
What is the units digit of 3924366?
6
What is the ten thousands digit of 9496370?
9
What is the units digit of 1337251?
1
What is the hundred thousands digit of 1320415?
3
What is the tens digit of 1242363?
6
What is the tens digit of 10111636?
3
What is the hundred thousands digit of 11017535?
0
What is the hundreds digit of 1084846?
8
What is the hundreds digit of 406792?
7
What is the thousands digit of 686501?
6
What is the hundred thousands digit of 9148396?
1
What is the ten thousands digit of 88520?
8
What is the hundreds digit of 67382?
3
What is the thousands digit of 369140?
9
What is the ten thousands digit of 21931435?
3
What is the hundreds digit of 4076389?
3
What is the tens digit of 10219991?
9
What is the hundred thousands digit of 36395298?
3
What is the hundred thousands digit of 2132118?
1
What is the hundreds digit of 1045934?
9
What is the tens digit of 283761?
6
What is the thousands digit of 52092?
2
What is the thousands digit of 694812?
4
What is the hundreds digit of 38636345?
3
What is the ten thousands digit of 285117?
8
What is the thousands digit of 9546?
9
What is the thousands digit of 1270617?
0
What is the tens digit of 1304872?
7
What is the thousands digit of 12103149?
3
What is the thousands digit of 1027897?
7
What is the units digit of 1575885?
5
What is the hundred thousands digit of 345232?
3
What is the tens digit of 2836364?
6
What is the tens digit of 1506715?
1
What is the ten thousands digit of 2549258?
4
What is the tens digit of 696718?
1
What is the hundreds digit of 726979?
9
What is the thousands digit of 1477351?
7
What is the tens digit of 8756912?
1
What is the tens digit of 2571717?
1
What is the tens digit of 32840?
4
What is the hundred thousands digit of 128336?
1
What is the hundreds digit of 1189286?
2
What is the ten thousands digit of 191755?
9
What is the millions digit of 3595962?
3
What is the millions digit of 32347052?
2
What is the ten thousands digit of 1563624?
6
What is the ten thousands digit of 147196?
4
What is the units digit of 1190301?
1
What is the thousands digit of 28138905?
8
What is the hundreds digit of 772261?
2
What is the thousands digit of 2288514?
8
What is the tens digit of 3681297?
9
What is the units digit of 8318323?
3
What is the hundred thousands digit of 982399?
9
What is the hundred thousands digit of 339853?
3
What is the thousands digit of 177587?
7
What is the tens digit of 1590771?
7
What is the millions digit of 31536783?
1
What is the millions digit of 4327386?
4
What is the thousands digit of 183113?
3
What is the ten thousands digit of 901818?
0
What is the millions digit of 3749013?
3
What is the hundreds digit of 490085?
0
What is the ten thousands digit of 5912346?
1
What is the thousands digit of 558353?
8
What is the hundreds digit of 1254313?
3
What is the millions digit of 5777469?
5
What is the hundreds digit of 45701?
7
What is the units digit of 1696936?
6
What is the thousands digit of 376795?
6
What is the hundreds digit of 308832?
8
What is the tens digit of 8994615?
1
What is the thousands digit of 5044620?
4
What is the units digit of 26009310?
0
What is the tens digit of 2320675?
7
What is the ten thousands digit of 27018122?
1
What is the hundred thousands digit of 880312?
8
What is the millions digit of 5239859?
5
What is the hundred thousands digit of 198182?
1
What is the units digit of 961124?
4
What is the thousands digit of 839489?
9
What is the ten thousands digit of 16000261?
0
What is the thousands digit of 5977608?
7
What is the millions digit of 5596322?
5
What is the thousands digit of 119078?
9
What is the hundred thousands digit of 146139?
1
What is the hundreds digit of 1367704?
7
What is the hundred thousands digit of 922917?
9
What is the ten thousands digit of 1993302?
9
What is the ten thousands digit of 23009187?
0
What is the hundred thousands digit of 2586142?
5
What is the thousands digit of 1658572?
8
What is the units digit of 2484857?
7
What is the thousands digit of 1302713?
2
What is the hundreds digit of 473351?
3
What is the millions digit of 4438635?
4
What is the thousands digit of 248087?
8
What is the tens digit of 144577?
7
What is the hundreds digit of 1185082?
0
What is the thousands digit of 28152266?
2
What is the hundred thousands digit of 12149938?
1
What is the hundred thousands digit of 2534461?
5
What is the thousands digit of 256575?
6
What is the hundreds digit of 604141?
1
What is the hundreds digit of 13394376?
3
What is the hundreds digit of 117321?
3
What is the tens digit of 903058?
5
What is the ten thousands digit of 62713?
6
What is the tens digit of 1647040?
4
What is the units digit of 1145156?
6
What is the units digit of 3009467?
7
What is the units digit of 397451?
1
What is the hundreds digit of 494757?
7
What is the ten thousands digit of 239738?
3
What is the ten thousands digit of 11511248?
1
What is the tens digit of 470018?
1
What is the hundreds digit of 19078772?
7
What is the hundred thousands digit of 761972?
7
What is the millions digit of 1059029?
1
What is the units digit of 28110677?
7
What is the millions digit of 38041354?
8
What is the hundred thousands digit of 2517164?
5
What is the hundreds digit of 18282676?
6
What is the hundred thousands digit of 4207518?
2
What is the tens digit of 14891464?
6
What is the hundreds digit of 4201453?
4
What is the tens digit of 3100109?
0
What is the millions digit of 5214106?
5
What is the ten thousands digit of 182345?
8
What is the ten thousands digit of 685798?
8
What is the hundreds digit of 9375541?
5
What is the millions digit of 2226343?
2
What is the ten thousands digit of 133988?
3
What is the thousands digit of 477802?
7
What is the units digit of 166889?
9
What is the units digit of 80960?
0
What is the hundreds digit of 70724?
7
What is the units digit of 470567?
7
What is the hundreds digit of 1012529?
5
What is the hundreds digit of 165100?
1
What is the hundred thousands digit of 3050183?
0
What is the ten thousands digit of 10967920?
6
What is the units digit of 924908?
8
What is the hundred thousands digit of 235744?
2
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
is 1601715 to the power of 1/3, to the nearest integer?
117
What is the cube root of 3727838 to the nearest integer?
155
What is the sixth root of 1138941 to the nearest integer?
10
What is the ninth root of 20789143 to the nearest integer?
7
What is the square root of 1281004 to the nearest integer?
1132
What is 11308 to the power of 1/2, to the nearest integer?
106
What is the eighth root of 711883 to the nearest integer?
5
What is the ninth root of 729150 to the nearest integer?
4
What is 275334 to the power of 1/2, to the nearest integer?
525
What is the square root of 4318517 to the nearest integer?
2078
What is the cube root of 5317216 to the nearest integer?
175
What is the square root of 84590 to the nearest integer?
291
What is 5604779 to the power of 1/3, to the nearest integer?
178
What is 5646728 to the power of 1/2, to the nearest integer?
2376
What is 3810984 to the power of 1/6, to the nearest integer?
12
What is the fifth root of 7907269 to the nearest integer?
24
What is 6103967 to the power of 1/10, to the nearest integer?
5
What is the tenth root of 2592585 to the nearest integer?
4
What is 363815 to the power of 1/4, to the nearest integer?
25
What is 426777 to the power of 1/2, to the nearest integer?
653
What is 7944359 to the power of 1/3, to the nearest integer?
200
What is the tenth root of 11564641 to the nearest integer?
5
What is 240191 to the power of 1/4, to the nearest integer?
22
What is 251318 to the power of 1/2, to the nearest integer?
501
What is 102358 to the power of 1/3, to the nearest integer?
47
What is 423206 to the power of 1/9, to the nearest integer?
4
What is the square root of 38864 to the nearest integer?
197
What is 244604 to the power of 1/2, to the nearest integer?
495
What is the square root of 1014363 to the nearest integer?
1007
What is the cube root of 681377 to the nearest integer?
88
What is the third root of 2950956 to the nearest integer?
143
What is the third root of 11018404 to the nearest integer?
223
What is the fifth root of 106873 to the nearest integer?
10
What is 202307 to the power of 1/7, to the nearest integer?
6
What is 1476208 to the power of 1/5, to the nearest integer?
17
What is 292947 to the power of 1/4, to the nearest integer?
23
What is the fifth root of 17804741 to the nearest integer?
28
What is 45092 to the power of 1/9, to the nearest integer?
3
What is the cube root of 9819614 to the nearest integer?
214
What is 429403 to the power of 1/7, to the nearest integer?
6
What is the cube root of 1800491 to the nearest integer?
122
What is the fifth root of 207410 to the nearest integer?
12
What is the cube root of 53282 to the nearest integer?
38
What is the square root of 9002974 to the nearest integer?
3000
What is 261453 to the power of 1/2, to the nearest integer?
511
What is the cube root of 99435 to the nearest integer?
46
What is the cube root of 585049 to the nearest integer?
84
What is 9436038 to the power of 1/3, to the nearest integer?
211
What is the square root of 59331 to the nearest integer?
244
What is the square root of 2599441 to the nearest integer?
1612
What is 2205537 to the power of 1/6, to the nearest integer?
11
What is the cube root of 10473439 to the nearest integer?
219
What is 147458 to the power of 1/2, to the nearest integer?
384
What is 2223299 to the power of 1/2, to the nearest integer?
1491
What is 657344 to the power of 1/5, to the nearest integer?
15
What is 640173 to the power of 1/3, to the nearest integer?
86
What is 822920 to the power of 1/2, to the nearest integer?
907
What is the cube root of 1256755 to the nearest integer?
108
What is the third root of 5840596 to the nearest integer?
180
What is the seventh root of 23999619 to the nearest integer?
11
What is 151919 to the power of 1/2, to the nearest integer?
390
What is 2210636 to the power of 1/3, to the nearest integer?
130
What is the cube root of 7616019 to the nearest integer?
197
What is 1497454 to the power of 1/2, to the nearest integer?
1224
What is the cube root of 1560891 to the nearest integer?
116
What is the third root of 3732185 to the nearest integer?
155
What is the third root of 576972 to the nearest integer?
83
What is the cube root of 9069536 to the nearest integer?
209
What is 8942694 to the power of 1/7, to the nearest integer?
10
What is 7297137 to the power of 1/9, to the nearest integer?
6
What is 203757 to the power of 1/2, to the nearest integer?
451
What is the square root of 737923 to the nearest integer?
859
What is the square root of 543263 to the nearest integer?
737
What is the square root of 3073233 to the nearest integer?
1753
What is the square root of 815157 to the nearest integer?
903
What is 7710320 to the power of 1/2, to the nearest integer?
2777
What is the fifth root of 2423484 to the nearest integer?
19
What is the tenth root of 206831 to the nearest integer?
3
What is the cube root of 1173180 to the nearest integer?
105
What is 759842 to the power of 1/3, to the nearest integer?
91
What is the eighth root of 14099803 to the nearest integer?
8
What is the square root of 4136337 to the nearest integer?
2034
What is 996350 to the power of 1/10, to the nearest integer?
4
What is the third root of 94011 to the nearest integer?
45
What is the third root of 365389 to the nearest integer?
71
What is the sixth root of 319942 to the nearest integer?
8
What is the square root of 292492 to the nearest integer?
541
What is the third root of 24189690 to the nearest integer?
289
What is 521731 to the power of 1/2, to the nearest integer?
722
What is the cube root of 154188 to the nearest integer?
54
What is 5390324 to the power of 1/3, to the nearest integer?
175
What is 4248623 to the power of 1/2, to the nearest integer?
2061
What is 2165915 to the power of 1/2, to the nearest integer?
1472
What is 2659513 to the power of 1/2, to the nearest integer?
1631
What is the third root of 2514610 to the nearest integer?
136
What is the square root of 107894 to the nearest integer?
328
What is the cube root of 216771 to the nearest integer?
60
What is 7495112 to the power of 1/2, to the nearest integer?
2738
What is the third root of 3329856 to the nearest integer?
149
What is 804064 to the power of 1/3, to the nearest integer?
93
What is the tenth root of 4998717 to the nearest integer?
5
What is 5551708 to the power of 1/10, to the nearest integer?
5
What is 263367 to the power of 1/3, to the nearest integer?
64
What is 619587 to the power of 1/8, to the nearest integer?
5
What is 1559013 to the power of 1/2, to the nearest integer?
1249
What is 1672181 to the power of 1/9, to the nearest integer?
5
What is 4683173 to the power of 1/2, to the nearest integer?
2164
What is 218282 to the power of 1/3, to the nearest integer?
60
What is 7792026 to the power of 1/8, to the nearest integer?
7
What is 42742169 to the power of 1/6, to the nearest integer?
19
What is the square root of 714969 to the nearest integer?
846
What is the fifth root of 111257 to the nearest integer?
10
What is the third root of 91238 to the nearest integer?
45
What is the fifth root of 30242116 to the nearest integer?
31
What is 62697 to the power of 1/3, to the nearest integer?
40
What is the third root of 18998448 to the nearest integer?
267
What is 7525023 to the power of 1/7, to the nearest integer?
10
What is 4888974 to the power of 1/3, to the nearest integer?
170
What is the eighth root of 19368124 to the nearest integer?
8
What is 204970 to the power of 1/7, to the nearest integer?
6
What is 616981 to the power of 1/3, to the nearest integer?
85
What is the fourth root of 257662 to the nearest integer?
23
What is the square root of 411958 to the nearest integer?
642
What is the fourth root of 504646 to the nearest integer?
27
What is the third root of 872052 to the nearest integer?
96
What is the square root of 742339 to the nearest integer?
862
What is the cube root of 1255735 to the nearest integer?
108
What is the square root of 592673 to the nearest integer?
770
What is the eighth root of 264155 to the nearest integer?
5
What is 28397 to the power of 1/3, to the nearest integer?
31
What is the fifth root of 539928 to the nearest integer?
14
What is the third roo
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of sequence pl.
5/91
What is prob of sequence lkqk when four letters picked without replacement from qkkkilkil?
1/126
Two letters picked without replacement from {a: 2, n: 1, t: 2, e: 4, r: 1}. Give prob of sequence nt.
1/45
Three letters picked without replacement from bglqbbllgbbgbgqgq. Give prob of sequence lqg.
3/272
Three letters picked without replacement from {t: 6, x: 12}. What is prob of sequence txt?
5/68
Three letters picked without replacement from hhnhnthnnhnhnh. Give prob of sequence ntn.
5/364
What is prob of sequence mhp when three letters picked without replacement from {h: 2, p: 1, w: 1, m: 7, z: 4}?
1/195
Two letters picked without replacement from {z: 4, t: 2, h: 1, i: 4, v: 1, e: 6}. Give prob of sequence ei.
4/51
What is prob of sequence jjx when three letters picked without replacement from jjxxjxzj?
3/28
What is prob of sequence hh when two letters picked without replacement from {z: 1, x: 1, h: 2, v: 1}?
1/10
What is prob of sequence lh when two letters picked without replacement from {h: 7, l: 4}?
14/55
Three letters picked without replacement from {t: 7, w: 5}. Give prob of sequence www.
1/22
Calculate prob of sequence ah when two letters picked without replacement from {a: 1, l: 6, h: 1, t: 3, r: 3, q: 5}.
1/342
What is prob of sequence ppp when three letters picked without replacement from lllpplppmplml?
5/143
Three letters picked without replacement from {l: 6, b: 7}. What is prob of sequence blb?
21/143
What is prob of sequence zymy when four letters picked without replacement from {y: 2, a: 1, p: 2, z: 1, m: 2}?
1/420
Three letters picked without replacement from {t: 2, p: 1, a: 1, m: 2, z: 7, k: 2}. What is prob of sequence aaz?
0
What is prob of sequence oo when two letters picked without replacement from {k: 5, o: 2, s: 3, v: 3}?
1/78
Three letters picked without replacement from {u: 1, v: 1, z: 2, x: 2, j: 1, h: 1}. What is prob of sequence xux?
1/168
Calculate prob of sequence dq when two letters picked without replacement from {b: 1, q: 6, d: 3, f: 4}.
9/91
What is prob of sequence jf when two letters picked without replacement from jwfffjfwj?
1/6
Calculate prob of sequence xwhi when four letters picked without replacement from {e: 2, w: 6, h: 1, i: 7, x: 2}.
7/6120
Calculate prob of sequence nfej when four letters picked without replacement from {f: 1, e: 2, j: 2, n: 1}.
1/90
What is prob of sequence werb when four letters picked without replacement from wbeebbreebebrva?
5/3276
Calculate prob of sequence ux when two letters picked without replacement from {l: 5, x: 3, u: 1}.
1/24
Three letters picked without replacement from wwweewwwewewwweeww. Give prob of sequence www.
55/204
Four letters picked without replacement from {q: 9, t: 3}. Give prob of sequence qtqt.
2/55
Four letters picked without replacement from {h: 1, f: 4, i: 2}. Give prob of sequence fffh.
1/35
Three letters picked without replacement from ssjsaaa. What is prob of sequence jss?
1/35
Four letters picked without replacement from elexqeeqllxeleleeeee. What is prob of sequence qxxq?
1/29070
What is prob of sequence jjcc when four letters picked without replacement from ztttttcczrjzjjr?
1/2730
What is prob of sequence ib when two letters picked without replacement from bdzif?
1/20
Three letters picked without replacement from oooyoovooooooo. What is prob of sequence ooy?
11/182
Calculate prob of sequence dkqd when four letters picked without replacement from dkqqqdqqqdqdkqqqqqd.
5/969
Three letters picked without replacement from {e: 2, t: 1, n: 1, o: 1, h: 1, v: 1}. What is prob of sequence hvo?
1/210
Four letters picked without replacement from iliiqipiiipiiiljil. What is prob of sequence iiii?
11/102
Three letters picked without replacement from {n: 1, m: 1, b: 1, c: 2, z: 1, y: 2}. Give prob of sequence mnc.
1/168
Four letters picked without replacement from cxckxnkccnwcccckcx. Give prob of sequence nccw.
1/510
Two letters picked without replacement from {x: 2, d: 1, b: 1, u: 9}. Give prob of sequence xb.
1/78
Calculate prob of sequence dipq when four letters picked without replacement from xqpdxpi.
1/420
What is prob of sequence eex when three letters picked without replacement from eexeeeeeeeeeeeeeee?
1/18
Four letters picked without replacement from eeeueweeeweeewee. What is prob of sequence ewwe?
33/1820
What is prob of sequence cw when two letters picked without replacement from ewqwweewevmvwmmwmwc?
7/342
Calculate prob of sequence jk when two letters picked without replacement from {n: 2, k: 2, o: 1, j: 9}.
9/91
Two letters picked without replacement from gnjjtnrnntnj. What is prob of sequence tn?
5/66
Calculate prob of sequence zzz when three letters picked without replacement from hoooohoozhzhzohz.
1/140
Calculate prob of sequence aa when two letters picked without replacement from ahlaaaalaaaha.
6/13
Two letters picked without replacement from btbbbbdtbttaf. Give prob of sequence db.
1/26
Two letters picked without replacement from {o: 2, n: 8}. Give prob of sequence oo.
1/45
Calculate prob of sequence qzoe when four letters picked without replacement from {e: 3, o: 4, z: 1, q: 1, d: 2}.
1/660
Four letters picked without replacement from {r: 2, o: 5, i: 4}. Give prob of sequence orro.
1/198
Calculate prob of sequence eidd when four letters picked without replacement from {e: 7, d: 2, i: 4}.
7/2145
What is prob of sequence kczv when four letters picked without replacement from {z: 1, u: 2, v: 1, k: 1, c: 1, l: 1}?
1/840
Calculate prob of sequence xlzd when four letters picked without replacement from {l: 1, u: 1, z: 3, x: 1, d: 1}.
1/280
Two letters picked without replacement from vvvvyvvtvvvvvpv. What is prob of sequence vv?
22/35
What is prob of sequence nffn when four letters picked without replacement from {y: 7, f: 4, n: 2, c: 1}?
1/1001
Calculate prob of sequence rg when two letters picked without replacement from {r: 9, z: 2, e: 3, g: 2}.
3/40
Calculate prob of sequence ggnn when four letters picked without replacement from {n: 2, s: 11, g: 4, y: 2}.
1/3876
Two letters picked without replacement from okrhudrh. What is prob of sequence hr?
1/14
Two letters picked without replacement from {a: 3, h: 17}. What is prob of sequence aa?
3/190
Two letters picked without replacement from eexe. Give prob of sequence ee.
1/2
What is prob of sequence npp when three letters picked without replacement from heonpope?
1/168
What is prob of sequence epe when three letters picked without replacement from jpwpzee?
2/105
Calculate prob of sequence qr when two letters picked without replacement from {g: 1, w: 4, q: 1, h: 4, r: 1, p: 3}.
1/182
What is prob of sequence ee when two letters picked without replacement from {n: 3, u: 1, e: 3, c: 1, h: 5}?
1/26
Two letters picked without replacement from {b: 3, s: 1}. Give prob of sequence bb.
1/2
Three letters picked without replacement from {e: 1, t: 1, h: 1, w: 7, z: 7}. Give prob of sequence tew.
7/4080
Four letters picked without replacement from aneneouaan. Give prob of sequence eeaa.
1/420
Three letters picked without replacement from imcimicmcimm. Give prob of sequence cmc.
1/44
Calculate prob of sequence xjfm when four letters picked without replacement from {u: 3, w: 4, m: 1, f: 2, x: 2, j: 2}.
1/3003
Calculate prob of sequence amll when four letters picked without replacement from hhmhhmmallmayalmhh.
1/816
Four letters picked without replacement from mmnnmnmnnjn. What is prob of sequence nmmn?
1/22
What is prob of sequence vgx when three letters picked without replacement from {o: 2, x: 8, v: 3, t: 1, a: 5, g: 1}?
1/285
What is prob of sequence jw when two letters picked without replacement from {w: 1, j: 1, q: 1, u: 2}?
1/20
Four letters picked without replacement from sesbsebebue. What is prob of sequence eubs?
1/220
What is prob of sequence mmn when three letters picked without replacement from {o: 1, a: 5, m: 4, n: 5}?
2/91
What is prob of sequence ti when two letters picked without replacement from jfjtfiktatffkii?
3/70
Two letters picked without replacement from ndlntlzdllllnl. Give prob of sequence ld.
1/13
Calculate prob of sequence fl when two letters picked without replacement from {l: 2, c: 3, f: 13}.
13/153
Four letters picked without replacement from {k: 2, z: 3, v:
|
{
"pile_set_name": "DM Mathematics"
}
|
ext: -101, -195, -291, -389?
-489
What is the next term in -2736, -2735, -2732, -2727?
-2720
What is next in 1273, 1276, 1279, 1282, 1285?
1288
What is next in 84, 150, 216, 282, 348, 414?
480
What comes next: 1934, 1917, 1888, 1847, 1794, 1729?
1652
What comes next: 16, 55, 142, 295, 532, 871, 1330, 1927?
2680
What comes next: 3096, 6194, 9292?
12390
What is the next term in -115, -101, -75, -31, 37, 135, 269, 445?
669
What is next in -14553, -14549, -14543, -14535, -14525, -14513?
-14499
What is next in -55, -334, -791, -1420, -2215, -3170, -4279, -5536?
-6935
What comes next: -64, -95, -126?
-157
What is the next term in 9, 4, -1, -6, -11, -16?
-21
What is the next term in 142, 539, 1200, 2131, 3338?
4827
What comes next: -142, -139, -140, -145, -154?
-167
What comes next: -366, -728, -1090?
-1452
What is the next term in -5596, -5597, -5598, -5599, -5600?
-5601
What is the next term in -234, -251, -286, -345, -434?
-559
What is the next term in -86, -224, -362, -500, -638, -776?
-914
What is the next term in 8111, 8110, 8109, 8108?
8107
What is the next term in -5207, -5206, -5205?
-5204
What is the next term in 1567, 1571, 1577, 1585, 1595?
1607
What is the next term in 1, -2, -9, -20, -35, -54?
-77
What is the next term in -21111, -21112, -21113?
-21114
What comes next: 24, 36, 34, 12, -36, -116, -234?
-396
What comes next: 4, 20, 50, 100, 176, 284, 430, 620?
860
What is the next term in 43, 91, 141, 193, 247, 303?
361
What comes next: 4, 5, 14, 37, 80, 149, 250?
389
What is next in 2, -1, -8, -25, -58?
-113
What is the next term in 5, 6, 9, 14, 21, 30, 41?
54
What is next in 897, 896, 895?
894
What comes next: 323, 324, 325, 326, 327, 328?
329
What is next in -64, -124, -184, -244, -304, -364?
-424
What is the next term in 52, 213, 482, 859?
1344
What is next in 3330, 3328, 3326, 3324?
3322
What is next in -18146, -18145, -18144, -18143, -18142?
-18141
What is next in 245, 247, 249?
251
What is next in 150, 295, 440?
585
What comes next: -20, 35, 184, 475, 956, 1675, 2680, 4019?
5740
What is next in 55, 46, 27, -2?
-41
What is next in 7, -20, -75, -158, -269, -408?
-575
What is next in -19, -89, -205, -367?
-575
What comes next: 228, 461, 694, 927, 1160, 1393?
1626
What comes next: -5, 12, 51, 112?
195
What is next in -77, -156, -239, -326, -417, -512, -611?
-714
What is next in 6, 30, 84, 180, 330, 546?
840
What comes next: 4444, 4440, 4436, 4432, 4428, 4424?
4420
What is next in -29, -121, -333, -713, -1309, -2169, -3341?
-4873
What is the next term in -12, -53, -122, -219, -344?
-497
What is next in -78, -65, -34, 21, 106?
227
What is next in -3, -17, -45, -93, -167, -273, -417?
-605
What is the next term in -30, -26, -20, -12, -2?
10
What is the next term in 4917, 9835, 14753, 19671, 24589, 29507?
34425
What comes next: -322, -307, -290, -271, -250, -227, -202?
-175
What comes next: -49464, -49463, -49462, -49461?
-49460
What comes next: -179, -177, -181, -197, -231, -289, -377?
-501
What comes next: -42, -70, -118, -186, -274, -382, -510?
-658
What is the next term in -1312, -1321, -1342, -1381, -1444, -1537?
-1666
What is next in -5482, -5481, -5480?
-5479
What comes next: 471, 938, 1405, 1872?
2339
What comes next: 51, 38, 17, -12, -49, -94?
-147
What is the next term in 732, 1434, 2148, 2880, 3636, 4422, 5244?
6108
What comes next: 36, 101, 210, 387, 656, 1041, 1566, 2255?
3132
What is the next term in -297, -276, -249, -210, -153, -72, 39, 186?
375
What is next in -13, 1, 39, 113, 235, 417?
671
What is the next term in -685, -684, -683?
-682
What is the next term in 60, 104, 186, 312, 488, 720?
1014
What is the next term in 9, 22, 61, 138, 265, 454, 717, 1066?
1513
What is the next term in 8, 13, 22, 35, 52, 73, 98?
127
What comes next: -102, -94, -86, -78?
-70
What comes next: 7, 9, 13, 19, 27, 37?
49
What comes next: -4, -46, -120, -232, -388, -594, -856?
-1180
What is next in 20, 22, 24?
26
What is the next term in -641, -649, -669, -707, -769, -861, -989, -1159?
-1377
What comes next: -3873, -3872, -3871?
-3870
What is the next term in -19, -36, -67, -112?
-171
What comes next: 120, 305, 488, 669, 848, 1025, 1200?
1373
What comes next: -65, -135, -191, -227, -237, -215, -155?
-51
What comes next: 5701, 5702, 5703?
5704
What comes next: -309, -305, -291, -261, -209, -129, -15, 139?
339
What comes next: -271, -269, -267, -265?
-263
What is the next term in -272, -268, -254, -224, -172?
-92
What is the next term in -258, -512, -766?
-1020
What is next in -171, -131, -91?
-51
What is the next term in 3, -14, -57, -138, -269?
-462
What comes next: 88, 76, 56, 28?
-8
What comes next: -76, -73, -70, -67?
-64
What comes next: -2524, -2519, -2510, -2497, -2480?
-2459
What comes next: -135, -156, -213, -324, -507?
-780
What is next in 20, 31, 64, 131, 244, 415?
656
What is the next term in 1713, 1719, 1725, 1731, 1737, 1743?
1749
What comes next: -124, -116, -102, -82, -56, -24?
14
What is the next term in 121, 473, 1057, 1873, 2921, 4201, 5713?
7457
What is next in -6438, -12880, -19322, -25764?
-32206
What comes next: 255, 522, 789?
1056
What is next in 237, 472, 707?
942
What is next in 17, 18, 17, 14?
9
What is next in 37, 64, 129, 250, 445, 732, 1129, 1654?
2325
What is next in 20, 36, 66, 116, 192?
300
What is next in 73, 128, 185, 244, 305?
368
What is the next term in 319, 320, 321, 322, 323?
324
What is next in 8, -32, -98, -190?
-308
What is the next term in 170, 228, 286, 344?
402
What is next in -8, -59, -142, -257, -404, -583, -794?
-1037
What comes next: 174, 344, 514?
684
What is the next term in -58, -60, -74, -106, -162, -248, -370, -534?
-746
What is the next term in -36, -165, -386, -699, -1104?
-1601
What is the next term in -489, -490, -491?
-492
What is the next term in 105, 384, 849, 1500?
2337
What is next in -245, -557, -873, -1193, -1517, -1845?
-2177
What comes next: 1130, 1111, 1092, 1073?
1054
What is next in 1537, 1508, 1439, 1312, 1109, 812?
403
What is next in 112, 127, 132, 121, 88, 27, -68?
-203
What comes next: 114, 101, 74, 27, -46, -151, -294?
-481
What is the next term in -227, -483, -777, -1115, -1503?
-1947
What is next in -1308, -2614, -3920, -5226, -6532?
-7838
What is the next term in 57, 186, 385, 648, 969?
1342
What is next in 7, 26, 61, 112, 179?
262
What is the next term in 46, 84, 116, 142, 162?
176
What comes next: 18, 28, 62, 132, 250?
428
What is the next term in -66, -247, -550, -975, -1522, -2191, -2982?
-3895
What comes next: 2768, 2774, 2784, 2798, 2816, 2838?
2864
What is the next term in -34, -56, -78, -100?
-122
What is the next term in 1, 6, 15, 28, 45?
66
What is the next term in 4, 18, 34, 52, 72?
94
What is next in -22, -30, -50, -88, -150, -242, -370, -540?
-758
What is the next term in -4, 14, 66, 170, 344, 606, 974?
1466
What comes next: 6, 22, 40, 60, 82?
106
What is next in 391, 403, 423, 451, 487?
531
What comes next: 21, 38, 55, 72?
89
What is next in -3528, -7059, -10588, -14115, -17640?
-21163
What is the next term in 288, 377, 466, 555, 644?
733
What comes next: -201, -342, -473, -588, -681?
-746
What comes next: 78, 75, 72, 69?
66
What comes next: -4, -105, -268, -487, -756?
-1069
What is next in -7, -22, -61, -136, -259?
-442
What is next in -1442, -2884, -4326, -5768, -7210?
-8652
What is the next term in -685, -2748, -6187, -11002, -17193?
-24760
What comes next: 35, 27, 13, -7?
-33
What comes next: -59, -71, -97, -143, -215?
-319
What comes next: -32, -70, -114, -164, -220, -282, -350?
-424
What is next in -123, -141, -159, -177, -195, -213?
-231
What is next in -752, -754, -756, -758, -760, -762?
-764
What comes next: 136, 151, 172, 205, 256, 331, 436?
577
What is next in -889, -890, -893, -898, -905, -914?
-925
What is next in -163, -164, -165, -166, -167, -168?
-169
What comes next: -17280, -17281, -17282, -17283, -17284?
-17285
What comes next: -7, -26, -47, -70, -95?
-122
What is next in -18140, -36277, -54414?
-72551
What comes next: -5793, -5798, -5803, -5808?
-5813
What comes next: 515, 591, 669, 749, 831, 915?
1001
What comes next: 169, 178, 191, 208?
229
What comes next: -353, -352, -351, -350?
-349
What is next in 45745, 91490, 137235, 182980, 228725, 274470?
320215
What is the next term in 230, 965, 2202, 3947, 6206?
8985
What is next in -93
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the highest common divisor of w and 6?
6
Let h be 50 + -3 + 3/1. Suppose 0 = -2*y + 4, 46*l - 44*l - 694 = 3*y. What is the greatest common factor of h and l?
50
Suppose 8626 = -78*n + 53086. What is the greatest common factor of 171 and n?
57
Let o(q) = 79*q**2 - 947*q + 4721. Let g be o(5). What is the highest common divisor of 477 and g?
53
Suppose -8*y + 42 = v - 3*y, -4*y = -8. Suppose -4*u - 4*u = v. Let j be u/22 + 552/132. What is the highest common factor of 28 and j?
4
Let y(z) = -4*z**3 + 10*z + 24. Let k be y(-2). Calculate the greatest common divisor of 1638 and k.
18
Suppose 301 - 281 = 4*y, -220 = -5*a - 4*y. Let z be 26/((-5 + 3)*1). Let l = 21 + z. What is the highest common factor of a and l?
8
Let f be (2/(-10))/(12/(-9360)*6). What is the greatest common factor of f and 10842?
26
Suppose -5*p - 2*j = -1087, -34*p + 29*p - 5*j + 1105 = 0. Calculate the highest common divisor of p and 2.
1
Suppose 8*h - 9*h = -4*o + 139, 0 = 2*o - 2*h - 68. What is the highest common divisor of 165 and o?
5
Let x be (-25)/(-2)*(-4)/30*(-11 - 22). Let u = 141 + -97. What is the highest common factor of u and x?
11
Suppose 0 = 8*c + 4*c - 3888. Let k be (c/30)/(3/30). Calculate the greatest common divisor of 4 and k.
4
Let v(i) = 189*i + 3238. Let k be v(-14). Calculate the highest common divisor of k and 6660.
148
Let y be (-170)/4*-2308*(6 - 0)/30. What is the greatest common factor of y and 17?
17
Let g(z) = -z**3 + 5*z**2 - z + 5. Let v be g(5). Let k = 45 + 354. Suppose 0 = -d, -5*s + 5*d + 321 + k = v. What is the highest common divisor of 32 and s?
16
Let d(j) = -15*j + 568 - j**2 - 568. Let v be d(-12). Calculate the greatest common divisor of v and 126.
18
Suppose 5*d - 3*x = 1875, d = 4*d - 2*x - 1124. Let v be d/15*25/10. Let r = 34 - -8. Calculate the greatest common factor of r and v.
21
Let y be (-3260)/(-2) - (2/(-2) + 5). Suppose 14*c + 2 = y. Let n(m) = -6*m + 5. Let o be n(-4). Calculate the highest common factor of c and o.
29
Let h(d) = 27*d**2 - 7*d - 29. Let o be h(2). What is the greatest common factor of 95 and o?
5
Let i be (2/(-5))/((-3)/(-15)). Let b = 4635 - 4358. Let s = b + i. Calculate the highest common factor of s and 25.
25
Let v(i) = -i**2 - 33*i - 40. Let h be v(-36). Let y = -90 - h. What is the greatest common divisor of y and 638?
58
Let v(l) = 278*l**3 - 3*l**2 + 4. Let h be v(1). Let a(s) = -32*s**3 - 2*s**2 - 3*s - 2. Let k be a(-1). Calculate the greatest common factor of k and h.
31
Let w = -7307 + 7364. Calculate the greatest common factor of 5168 and w.
19
Suppose -3*n + 213 = -87. Suppose 2*o + 5*i - 218 = 0, 5*o + 3*i + 2*i = 530. Suppose 20 = 105*p - o*p. Calculate the greatest common factor of n and p.
20
Suppose 3*b - 3*w = 3, 1 = 2*b - 4*w + 3. Let a be (-2)/(-12)*50*b. Let r be (50/4)/((-2)/(-4)). What is the highest common divisor of a and r?
25
Suppose 0 = -3*x - 3, 135 = 3*v + 2*x - 127. What is the greatest common divisor of v and 308?
44
Let y be 2 + (1 - -1) + 216/3. What is the greatest common divisor of y and 116?
4
Suppose 4*u - 893 = -p, 0 = 2*u - 18*p + 22*p - 436. Let z = u + -215. Calculate the greatest common divisor of 3 and z.
3
Let f = 15125 + -14957. What is the highest common factor of f and 735?
21
Let s = -9955 + 10015. Calculate the greatest common factor of 75 and s.
15
Suppose -6 = 2*a + 62. Let p = -663 + 653. Let u = p - a. Calculate the greatest common factor of 60 and u.
12
Suppose -1003824 + 1446861 = 99*b - 1324707. What is the highest common divisor of 384 and b?
192
Let m be ((-75276)/(-1071))/((-2)/(-21)). What is the highest common divisor of m and 164?
82
Suppose -412*n + 4278 + 3015 = -395*n. Let u = 21 + -8. What is the highest common divisor of n and u?
13
Let d(w) = -22*w + 23. Let l be d(1). Calculate the highest common divisor of l and 32.
1
Let n = -16 + 21. Suppose -9 - n = -7*o. Suppose -5*s = o*s - 189. What is the highest common divisor of s and 3?
3
Suppose n + 20 = -5*y - 8, 0 = -5*y. Let u be (-1*2/8)/(1/n). What is the greatest common factor of u and 21?
7
Suppose -12 - 20 = 2*g. Let r(s) = -23*s + 1. Let k be r(-1). Let v = k + g. Calculate the greatest common divisor of 20 and v.
4
Let j(p) = 4*p**2 + 334*p + 1294. Let n be j(-80). Calculate the greatest common divisor of n and 8091.
87
Suppose -4*w = -5*q + 26, 2*q + 3*w + 9 = 4*q. Suppose -2*a - 42 = 26*d - 286, 0 = -5*a + 3*d + 882. Calculate the greatest common divisor of q and a.
6
Let a be (0/33)/(0 + -6). Let s(p) = -5*p + 40. Let z be s(a). Calculate the greatest common divisor of z and 30.
10
Let p(c) = 18*c**2 - 9*c + 13. Let r be p(2). Let u = r - 33. Suppose u*d - 36*d = -18. Calculate the highest common factor of 1 and d.
1
Let b = -62 + 65. Let j be (2 + 8/2)*1/b. Suppose -j*v - 138 = -4*r - 4*v, 4*v - 168 = -5*r. Calculate the greatest common divisor of 288 and r.
36
Let f(d) = -3*d + 314. Let y be f(28). Calculate the highest common factor of y and 25990.
230
Let a = -994 - -1005. Calculate the greatest common factor of 55 and a.
11
Suppose 40*x + 2*x + 9968 - 32438 = 0. What is the highest common divisor of x and 428?
107
Let k(n) = -22*n + 2. Let o(q) = 45*q - 4. Let f(a) = -11*k(a) - 6*o(a). Let b be f(7). Let l = b - -287. Calculate the highest common factor of l and 31.
31
Let r = 126 - 133. Let t(m) = 6*m + 51. Let p be t(r). Calculate the greatest common divisor of p and 1.
1
Suppose -42747 + 94742 = 307*m - 83085. Suppose -4*o - 96 = -s, -300 = -4*s - 2*o - 3*o. What is the greatest common factor of m and s?
40
Let q = 12 + -13. Let u be 1 - 8*(q - 12). Suppose -i = -6*i + 350. What is the greatest common factor of i and u?
35
Let f(j) be the third derivative of -j**5/60 + 3*j**4/4 + 11*j**3/3 + 57*j**2. Let y be f(19). What is the greatest common factor of y and 6?
3
Let z = -1747 + 1771. Calculate the greatest common factor of 3816 and z.
24
Let i(h) = h**2 - h - 10. Let c be i(4). Suppose 1302 = 3*g - l - c*l, -2*l + 419 = g. Calculate the highest common factor of g and 39.
39
Let g(q) = -394*q - 4. Let m be g(-1). Suppose 2*d = -5*r + m, 0*d + 2*d - 386 = -4*r. Calculate the greatest common divisor of 37 and d.
37
Suppose -r + 11738 = 2*o, 51*o - 56*o = -5*r - 29375. Calculate the greatest common divisor of o and 741.
57
Suppose 0 = 7*q - 5 - 23. Suppose 4*x = -32 - q. Let r be (-8416)/(-36) + (-2)/x. What is the greatest common divisor of 13 and r?
13
Let j(n) = 76*n - 527. Let u be j(8). Calculate the highest common divisor of u and 72.
9
Suppose 4*a + d + 33 = 0, 3*a - 11 = a + 5*d. Let x = 11 + a. Let k = -5521 + 5565. Calculate the greatest common divisor of x and k.
4
Let m = 3819 - 3744. Calculate the greatest common factor of 1560 and m.
15
Suppose 0 = 4*h + 3*i - 138, -3*i + 53 = h + 23. Let b be (96/5)/(4/30). What is the highest common factor of h and b?
36
Let r(s) = 73*s + 76. Let o be r(13). Suppose 0 = -4*m + 129 - 29. Calculate the greatest common factor of o and m.
25
Let m(o) = 2*o + 6. Let q be (-12)/(-8)*(2 + (-16)/(-2)). Suppose 9*u - 10*u + q = 0. Let f be m(u). Calculate the highest common factor of f and 24.
12
Let u(v) = 419*v**2 - 9*v - 8. Let r be u(-1). Let k = r - 380. What is the greatest common divisor of k and 110?
10
Suppose 210 = 3*x + f, 0 = -1017*x + 1019*x + 2*f - 132. Calculate the greatest common divisor of x and 2628.
36
Let u(c) = -2*c**2 + 82*c + 293. Let g be u(44). What is the highest common factor of 551 and g?
29
Let i(f) = -2*f + 13. Suppose 36 = 9*j - 9. Suppose -5*u + 3 = -3*u + j*t, -u = t - 3. Let r be i(u). Calculate the highest common factor of 35 and r.
5
Let k be (-37 + 46)/(1 + 34/(-40)). Let c = -5 + 4. Let j be (2/((-20)/5))/(c/k). What is the highest common divisor of j and 12?
6
Suppose -2 = -p + 9. Suppose -16 = -3*d + p. Suppose -2*j - j = -d. What is the highest common factor of j and 3?
3
Let w(y) = 2*y**2 + 3*y + 6. Let l be w(-4). Let j = -127894 - -129168. Calculate the highest common divisor of l and j.
26
Suppose -1872 = -33*d + 4134. Calculate the greatest common divisor of d and 832.
26
Suppose -17*f + 731 = -13*f + 5*u, -f + 181 = u. What is the highest common factor of f and 4089?
87
Let a be (-408)/(-34) - (10 + 0) - 45/(-5). What is the greatest common divisor of a and 437?
1
S
|
{
"pile_set_name": "DM Mathematics"
}
|
(2 - 0) - 4.
1
What is the value of 6 + (-4 - 9 - -3 - -5)?
1
(3 - 3) + 3 + -3 + -5
-5
-10 + (1 - (3 + -3 - 5))
-4
Calculate 2 - ((0 - -1) + 14 + -12).
-1
Calculate 1 - (-4 + 11 + -4).
-2
What is -12 - (-9 + 2) - (-1 - 2)?
-2
What is (3 - (-3 + 2)) + 17 + -28?
-7
Evaluate 7 + 6 + -1 + -8 + -1.
3
-1 + (-1 - (-5 + 1))
2
Calculate (-7 - -8) + (-1 - (-2 - -4)).
-2
Evaluate (-1 - 0) + (-6 - -1) + 6.
0
What is (3 + -2 - 0) + 2?
3
-1 + -8 + 12 - (7 - 1)
-3
What is the value of -2 + 5 + 5 + -6?
2
Evaluate 4 + 13 + -5 + -6.
6
-1 - (-4 + 3 + 2)
-2
Evaluate 10 - 13 - ((1 - 1) + -3).
0
0 + (-1 - (1 - 1))
-1
Calculate 39 + -27 + -1 + 2 + -7.
6
Evaluate 7 - (24 - 10) - 1.
-8
Calculate (1 - -1) + -14 + 16.
4
Calculate (2 - -2) + (-7 - -4).
1
What is the value of (3 - (6 + -3)) + (-3 - -3)?
0
Calculate -6 - (5 + -7 - -1).
-5
Evaluate 7 + 6 + (-22 - -8).
-1
Calculate (1 - 4) + 4 - 4.
-3
Calculate 58 + -71 - (-2 + -11).
0
What is the value of -4 + (-1 - (7 - 10))?
-2
What is the value of -5 + -15 + (13 - 2)?
-9
What is -8 - (9 - 9) - (0 + -5)?
-3
What is the value of (13 + -9 - (-1 - 0)) + 0?
5
Calculate -10 + (3 - 3) + -1 - -5.
-6
Evaluate (-8 - (-3 + -2)) + (3 - 1).
-1
What is the value of -1 + (3 - (4 - (0 - -2)))?
0
What is 12 + -3 - (3 - 1)?
7
What is (12 - 16) + 12 - (5 + 1)?
2
Evaluate 6 - (-4 + (-5 - -11)).
4
Calculate 3 + -2 + -3 + -2.
-4
Evaluate -5 - ((-3 - -8) + -14).
4
Evaluate 2 + -2 + (-1 - -1).
0
Calculate (0 - (-1 - 0)) + -1.
0
Evaluate (7 + -4 - 2) + 1.
2
(-3 - -1) + -6 + 6 + -3
-5
-2 + (-1 + 4 - 5)
-4
What is the value of (-4 + 1 + 4 - 3) + -1?
-3
Calculate -1 + -3 + (21 - 8) + -10.
-1
Calculate 9 + -7 + (1 - -3).
6
Evaluate 3 - (5 + 4) - (3 + -3).
-6
What is -6 + (1 - 1) - (-4 - 0)?
-2
(10 + -3 - 4) + 3 + -3
3
What is the value of (0 - (-2 + 6)) + -2?
-6
What is -5 + -2 + 9 + -3 + -1?
-2
What is the value of -1 + (1 + 0 - 1) + 4?
3
Calculate -6 + (0 - (-6 - -1)).
-1
-1 + 8 - 4 - -3
6
Calculate -3 + 4 - (0 + 2 - -1).
-2
-1 + (-7 - -2) - (-31 + 23)
2
Calculate 2 - -2 - ((1 - 5) + 3).
5
What is the value of -8 - (2 + -7 + 4 + -2)?
-5
What is -10 + (3 - 2) + 18 + -12?
-3
What is the value of -5 + 2 + (-2 - -1)?
-4
Calculate 0 - ((3 + 3 - 2) + 1).
-5
(4 - 14 - -2) + 8
0
3 - (-1 - -7) - -5
2
2 + -4 - 4 - -4
-2
What is the value of 9 - (1 + 9) - (1 + -2)?
0
-1 + 12 + -9 + -4
-2
What is the value of -3 + 2 + -2 + -5 + 4?
-4
Calculate 179 + -189 - (-7 + 0).
-3
0 - (1 - (4 + -2 + 0))
1
What is (-1 - -1 - -2) + (-2 - -2)?
2
What is the value of -1 + -3 + -3 + 4?
-3
What is 2 - 3 - -1 - -3?
3
What is (1 + 0 - (-24 + 23)) + -2?
0
What is the value of -1 + 6 + -4 + 1?
2
-3 + 6 + 2 + -6
-1
Evaluate -8 + 6 + 5 + -2.
1
Calculate 4 - (13 + 3 + -10).
-2
Calculate 28 - 37 - (-4 + -3).
-2
What is 0 - (0 + -3 + 4)?
-1
Calculate -3 + 4 - (-1 + 5 - 1).
-2
What is -1 + 0 + (4 - 3)?
0
Calculate 1 + 2 - -1 - 2.
2
What is 1 - (-9 - (-4 + 3 + -4))?
5
What is -3 + -23 + 9 - -12?
-5
Evaluate -1 - -2 - (4 - 1).
-2
Evaluate 5 - (4 - (2 - 1) - 3).
5
What is the value of 10 + (1 - 0) - 2?
9
1 - 3 - (4 - 7) - 4
-3
Evaluate 1 + -1 + 4 - 9.
-5
(0 - (4 + -7)) + -5
-2
Calculate -7 + 6 - (5 - (-3 - -4)).
-5
What is -8 + 1 - -3 - (-5 - -1)?
0
What is -2 + -1 + 1 + -5 + 4?
-3
What is the value of 0 - (1 + -5 + 15 + -11)?
0
Evaluate -5 + 2 + (7 - 6).
-2
Evaluate (31 - 24) + (2 - 15) + 6.
0
Evaluate 11 + -6 + (4 - 3) - 6.
0
What is 9 + (-6 - -6) - 18?
-9
-8 + 4 + 4 + -6 + 1
-5
Calculate (-3 - 1) + (38 - 35).
-1
-1 + -2 + -1 - -2
-2
14 - (-23 - -18 - (1 - 10))
10
Calculate 10 + -9 + 1 - 5.
-3
What is -7 + (10 - 4) + 3?
2
1 + 2 + (0 - 0) + 0
3
What is the value of 3 + (1 - (5 - 4))?
3
Calculate 18 - 7 - 7 - (8 - 1).
-3
What is the value of -2 - 0 - (-2 - -1)?
-1
Calculate 1 - -3 - (16 + -16).
4
-8 + (-10 + 22 - 2)
2
What is 0 + -2 + 6 + (1 - 4)?
1
What is the value of 5 + (4 + -4 - 4) + -3?
-2
What is -1 + 3 + -6 + 8?
4
(2 + 0 - 11) + (-64 - -64)
-9
What is the value of (-2 - 0) + -2 - (-4 + 5)?
-5
6 + (-1 - (10 - 8))
3
(1 - (1 - (0 - 0))) + 3
3
What is 0 + (-2 - -1) + 4 + -1?
2
(-5 - 0) + 4 - 0
-1
What is -56 + 62 + (-1 - 7)?
-2
Calculate 0 - 5 - -2 - (-4 + 6).
-5
Evaluate 4 - 7 - (0 - 4).
1
What is the value of 33 - 26 - (-2 - -15)?
-6
(-3 - 3) + (1 - -3)
-2
What is the value of 2 - (2 + -5) - (1 + 1)?
3
Calculate (0 - 3 - (16 + -24)) + 1.
6
Calculate -4 + 2 + 3 - -2 - -2.
5
What is (7 - 14) + (2 - -4)?
-1
Evaluate 2 - -1 - (-81 + 90).
-6
Evaluate -8 - (7 - (-7 + (1 - -17))).
-4
Evaluate 2 + -3 + -5 + 8.
2
6 + 1 + (-14 + 6 - -9)
8
Evaluate -1 + 0 + (-8 + 7 - 3).
-5
Evaluate (-2 + (-2 - 0) - 1) + 0.
-5
What is 0 + (-4 - 1) + 9 - -1?
5
What is (-5 - (13 + -3)) + 4 - -1?
-10
What is -3 - (-1 - (0 - (6 - 4)))?
-4
12 + (1 + -14 - -6)
5
What is the value of 3 + (3 - 0) + -4 + 0?
2
What is 0 + -5 + (13 - 12 - -4)?
0
What is the value of 0 - (5 + -7 + -2)?
4
Calculate 0 + 4 + -4 + 4.
4
-14 + 3 - (-3 - 5)
-3
Evaluate -4 + (2 - -2) + (1 - -2).
3
What is the value of (-60 - -53) + (0 - -5) - 2?
-4
14 + -9 - (1 - 0)
4
Calculate -3 + (1 - 1) + 3.
0
Evaluate (-2 - (0 + 1)) + (-8 - -5).
-6
What is 5 + (-1 - (-3 + 5))?
2
-4 + 1 + -11 + 7
-7
-20 - (-8 + 0) - -6
-6
Evaluate -6 + 22 + -7 - 6.
3
Calculate 3 + (-3 - (-5 - -9)).
-4
Calculate 33 + -41 - (-5 + -1).
-2
What is the value of -4 - (-10 + (-1 - -7))?
0
-1 + (2 + 3 - (8 - 10))
6
Evaluate 0 + -3 + (19 - -6 - 17).
5
5 + (-5 - 6) - -1
-5
Calculate -2 - -3 - (2 - (3 - -1)).
3
Calculate -1 + -2 + (8 - 6) + 3.
2
Evaluate -1 + -1 + 6 + -6.
-2
6 + 9 - 8 - 4
3
Calculate -2 - 0 - (-5 + (4 - 0)).
-1
What is 2 + (2 - -1) + -13 + 2?
-6
Evaluate (-10 - -10) + (1 - -3).
4
What is the value of -4 - (-7 + 0 - -9)?
-6
What is the value of -7 + 13 - 6 - 1?
-1
-3 - -5 - 0 - 1
1
What is the value of 0 + 0 + 1 - -2 - -1?
4
Calculate -15 + 18 + (0 - 6).
-3
-7 + 6 + -4 + 4
-1
What is the value of 7 + -3 + 2 + -3?
3
Calculate -5 + 2 + -3 + 0 + 2.
-4
Evaluate 1 + -6 - (-4 + 1) - -2.
0
What is the value of -2 - (-4 - (3 + -4))?
1
What is the value of -74 - -87 - (-2 + 11)?
4
What is -21 - -28 - (1 - 2)?
8
What is the value of 2 + 0 + -3 - (-5 - -3)?
1
Calculate (0 - 2) + (4 - 1).
1
Evaluate 7 + -10 + 1 + 2 + 0.
0
What is 0 + 1 + (-1 + -3 - -8)?
5
What is 36 + -41 + -2 + -1 + 1?
-7
-5 + 2 + 3 - 5
-5
Calculate 4 + -6 - -6 - 3.
1
What is 0 - (3 + 2 - 6)?
1
-6 + 0 + 6 + -4
-4
What is 7 + -5 + -9 - -11?
4
What is -8 + (1 - -3) - (-7 - -2)?
1
Calculate 6 - (-5 - (-14 + -6)).
-9
Evaluate (18 - (15 + 1)) + -8 + -1.
-7
What is the value of (26 - 23) + -10 + 1?
-6
Calculate 1 + -11 - (3 - 9 - 0).
-4
3 + 1 - 3 - 0
1
What is the value of 0 + -1 + -1 + (2 - 1)?
-1
What is the value of (5 - (5 + -2)) + -6?
-4
What is 2 + (4 - 7) + 4?
3
Evaluate 36 + -34 + (-5 - (4 + -2)).
-5
0 - (20 - 6 - 9)
-5
2 + (-8 - (1 + -3)) - 2
-6
What is 0 + 5 + -1 + -3?
1
-5 + -2 + -6 + (19 - 6)
0
What is the value of -2 + 0 - (-6 + 6)?
-2
-7 - -6 - 0 - (-1 - -5)
-5
What is the value of -8 + (-4 - (-16 - -6))?
-2
What is the value of (-8 - -4) + 7 + -3 + -4?
-4
What is (-1 - -3) + -2 + 4 + -5?
-1
4 + -14 + (1 + 3 - 2)
-8
What is -3 + (9 - 10) + 0?
-4
What is the value of 0 + (0 - 3 - (14 - 23))?
6
What is the value of 1 - (-5 + 4 - (-4 + 2))?
0
Evaluate (60 - 68) + (1 - -9).
2
Calculate -7 + 6 + -4 + -1 - -9.
3
Evaluate (-1 - (1 - 2) - 3) + 4.
1
What is the value of 9 + -13 + 16 + -6?
6
Calculate (2 - 15) + 9 + 0 + -1.
-5
Calculate (1 + 2 - 4 - 3) + 1.
-3
What is 1 + 3 + -6 + 3 + -5?
-4
Evaluate -2 - (-6 - -5 - 0).
-1
What is -8 + -1 + 2 + 2?
-5
Calculate 21 + -22 - ((1 - 8) + 1).
5
Evaluate (6 - (0 - -9)) + -3.
-6
Calculate 1 + (0 - -6) - (178 - 174).
3
Calculate 0 - -2 - (0 + -2 + 4).
0
Evaluate 5 + -1 - (5 - 3).
2
Calculate 1 + 9 + -7 + 2.
5
Calculate -4 + (-4 - -1) + 5.
-2
What is the value of -3 + -1 + -7 + 14 - -1?
4
-2 + (-1 - -2) + -1
-2
Evaluate 9 - (-5 + 2 + 5).
7
Calculate 6 + -6 + (2 - (1 - -2)).
-1
(16 - 7) + (-1 - 5)
3
What is the value of (14 - 12) + 3 + 1 + -3?
3
(-4 - 1) + -3 - -13
5
Calculate (3 - (-4 - -6)) + 3 - -4.
8
What is the value of 0 + -3 - ((1 - -4) + -3)?
-5
Calculate (14 - 17) + (-9 - (-5 - 1)).
-6
What is the value of (-5 + 4 - (-6 + 5)) + 2?
2
What is -26 + 11 + -3 - -11?
-7
3 + 1 + -6 + 2 + 3
3
What is -7 + (1 - (-8 - -5))?
-3
Evaluate -1 - (0 + -1 + 0).
0
Evaluate 11 + -1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
(-1 - (-7)/5)*5. Is 4 at most x?
False
Let u = 91 - 133. Which is smaller: u or -43?
-43
Let p = 0.6 + -0.4. Let o = p - 2.4. Let m = o - -0.2. Which is greater: 0 or m?
0
Suppose 29 = 2*p - 29. Is 29 != p?
False
Let r = -13.1 + 16. Let l = r - 3. Let t = 0.4 + l. Which is smaller: t or 1?
t
Let x = -8.3 - -8. Let o = x - 0.7. Which is smaller: 2/11 or o?
o
Let v = -1 + 3. Suppose -3*f = 4*o + 15, -v*o + 4*f + 15 = f. Let i be (1/(-4))/((-1)/(-2)). Are o and i unequal?
True
Let x(s) = 5*s**2 + 2*s + 10. Let y be x(-3). Which is bigger: 48 or y?
y
Let a be (-3)/(-12) + (-19)/(-4). Suppose 12 = -a*j + 2*p, -3*j - p - 5 = -0. Which is greater: j or 1?
1
Suppose 0 = -2*k - 2*g + 4, -2*k - 3*g - 2 = -7*g. Suppose 4*r + 5 = k. Which is smaller: r or -2?
-2
Let h(a) = 3*a**2 + 8*a + 6. Let o(k) = 16*k**2 + 40*k + 29. Let g(c) = -11*h(c) + 2*o(c). Let x be g(-7). Let y be (4/6)/((-2)/3). Is y <= x?
True
Let t = 0.3 - 0.26. Which is bigger: -0.1 or t?
t
Suppose -2*c + 2*d = 8, -5*c - 2*d + 1 = -0. Which is smaller: 0 or c?
c
Let c be 3/14*-14*4/(-48). Which is greater: 51 or c?
51
Let y(w) = -71*w**3 + 1. Let q be y(-1). Let i be (-3)/(-12) + (-2)/q. Suppose 0 = 5*s - 4*u - 5, 3*s - 1 = 5*u + 2. Is i > s?
False
Let y be 1/(-4) + 45/20. Let r = 12 + -10. Suppose 14 + r = 4*d. Is y smaller than d?
True
Suppose 3*i + 3 = 9. Which is bigger: 3/4 or i?
i
Let s be 3*4/(-30)*-5. Suppose -2*y - 6*r = -s*r + 18, -20 = 5*r. Which is greater: y or 0?
0
Let v = 63/4 - 16. Let g = 5 + -4.9. Let m = -0.1 + g. Which is greater: v or m?
m
Let x = -3 + 5. Suppose -x*q - 4 = -4*q. Let l be (0/((-2)/2))/(-2). Is l at most q?
True
Let n = 9 - 13. Let i = n + 2. Which is greater: i or 0?
0
Suppose 0 = j + n - 4, 4*j - 2*n = 3*n - 20. Let p = -6 - -9. Let u be ((-16)/54)/((-2)/p). Does j = u?
False
Let b(h) = -6*h - 1. Let p be b(1). Let z(t) = t**3 + 6*t**2 - 9*t - 8. Let w be z(p). Let c = w - 8. Are -3 and c non-equal?
True
Let i = 336/325 + -22/25. Is 0 >= i?
False
Let f be (-16)/10 + (-4)/(-10). Let r(q) = -q**3 + 9*q**2 + 1. Let c be r(9). Let g be -2*4/(-8) - c. Which is smaller: f or g?
f
Suppose -83 = -2*x + y, 2*y + y + 161 = 4*x. Which is smaller: 43 or x?
43
Let f(z) = z**3 + 5*z**2 + 4*z - 6. Let w be f(-5). Is -27 smaller than w?
True
Let b be (1 + -1)*(-2)/4. Let v be -3 - (-4 + b + 0). Let a be v - 92/22 - -3. Are 0 and a non-equal?
True
Suppose -3*m - 108 = 3*y, -3*y = -4 + 13. Which is bigger: -34 or m?
m
Let m = -706 - -38856/55. Let h = m + -3/11. Are h and -0.1 equal?
False
Suppose 3*x + 16 = x. Is -6 greater than x?
True
Let i be (7/2 + -3)*0. Let n(t) = t - 3. Let s be n(i). Which is greater: s or 2?
2
Let n be (2/3)/((-4)/6). Let h = 6 - 5.8. Let q = 4.8 + h. Is q greater than or equal to n?
True
Let j be (-254)/9 + (-8)/(-36). Suppose -4*s = s - 60. Let m be (-3)/s + (-15)/j. Does 0 = m?
False
Suppose -d - 7 = -t, 40 = 5*t + d - 7. Suppose 4*n - 2*a - t = -3*a, -3*a = -n - 1. Let s be n/(-6) + (-2)/(-6). Which is greater: s or 1/4?
1/4
Let m = 5 - 7. Let f = 0.2 - 0. Let b = f - 0.3. Are b and m equal?
False
Suppose 4*i - 5*z - 1 = 0, -3 = 2*i - 0*z + z. Is -5 less than i?
True
Let x = -0.3 - 0.7. Suppose 2*v + 2*v = 0. Suppose v = 2*h + 2*j - 4*j - 2, h + 2*j = 1. Is h > x?
True
Let b = -0.06 + -0.24. Let h = b + 2.3. Is 0 > h?
False
Let w(b) = b + 4. Let m be w(-3). Suppose -2*n + 2*k = 4, -3*n + m = 2*k - 3. Which is smaller: 1 or n?
n
Let l = -6 - -6. Let j = -5 + l. Let z = -4.8 - j. Are z and -0.1 non-equal?
True
Let w be (32/140)/((-64)/30 - -2). Which is bigger: w or -3?
w
Let u be 4 + 14*3/(-12). Let b = -52/85 - -6616/255. Let g = b - 25. Is u greater than g?
True
Suppose s + z = 5*s - 17, 2*s = 3*z + 1. Suppose s*t - 3 + 18 = 0. Which is bigger: 3 or t?
3
Let b = 164 - 163. Does 1/86 = b?
False
Let g = 27 - 18. Let j = -13/2 - -14. Which is bigger: g or j?
g
Suppose 3*c = c - 2. Is c less than or equal to 3/38?
True
Let j = -123 - -136. Which is greater: 5 or j?
j
Let p = 0.18 - 0.18. Is p greater than or equal to 0?
True
Let p = 114 - 81. Let a be p/9 - 3/(-9). Which is smaller: 5 or a?
a
Suppose 0 = 5*u - 10*u. Is u greater than or equal to 0.16?
False
Let m = -25 - -14. Is m at least -10?
False
Let b = -92 - -46. Is -46 > b?
False
Let h be -10 + 9 - (1 - -4). Suppose 5*w = 0, -3*w - 7 = -a + 1. Let r = a + h. Is r at least as big as 0.1?
True
Let p = 1 + -3. Let d = 4 + -5. Is p smaller than d?
True
Let z = 2407/11 - 219. Is z greater than -1?
True
Let h = 3 - 2. Let n = 5 + -4. Is h less than or equal to n?
True
Let b be (4 + -7)/(-3) + 15. Is b bigger than 15?
True
Let v = 0 - -13. Let g = -12 + v. Let x be 46/(-63) - 2/(-7). Is g smaller than x?
False
Suppose 0 = z - 0*z + 1. Let f be (z - 2/(-1))*0. Let v = 1 + -2. Are v and f unequal?
True
Suppose 3*w - 15 = -5*u, -3*u + 6*u - 9 = -w. Is w < -2/3?
False
Let y = 3 + -9. Let j(g) = g**3 + 6*g**2 - 2*g - 7. Let f be j(y). Suppose 0 = 4*b + 2*a - 1 + f, 3*b - 3*a = 15. Which is bigger: b or 1/4?
b
Let d = -0.018 + -0.812. Let w = d - 0.17. Is 4/13 greater than or equal to w?
True
Let g(p) = -p**3 - 6*p**2 + 17*p + 9. Let d be g(-8). Let c(b) = b - 2. Let o be c(0). Let h be 4/6 - o/6. Is d != h?
False
Suppose 3*r - 30 = -0*r. Suppose -y + 4*v = -v - r, 0 = -5*v - 10. Let d = -2/3 + 1/3. Which is greater: d or y?
y
Let x = 6 + -4. Suppose 3*k - x*t = 3*t - 11, 5*k - 2*t - 7 = 0. Which is smaller: k or 1?
1
Let o(m) = m. Let u be o(2). Let d be 8/12 - (-21)/9. Which is greater: u or d?
d
Suppose -2*r = r - 18. Suppose 3*i = r*i + 3. Which is smaller: 2/9 or i?
i
Suppose -2*b - 8 = -4*v, -2*b - 5 = -4*v + v. Does 6 = v?
False
Suppose -15 = -7*q + 2*q. Suppose 1 = -2*i + q. Which is greater: i or 6/11?
i
Suppose -5 = -p + f, -2*p - 3*f - 10 = -0*p. Which is bigger: -1/9 or p?
p
Suppose -8*g - 90 = -3*g. Let j = g - -50/3. Is j less than or equal to -1?
True
Let y be ((-4)/(-170))/(2/(-10)). Let p be ((-2)/4)/((-1)/6). Let t be 2*((-15)/6 + p). Is y < t?
True
Let f(r) = r**2 + 9*r - 15. Let m be f(-12). Which is greater: 22 or m?
22
Let r be 144/(-180) - 1*(-1)/(-5). Is -4/67 at most r?
False
Let f(u) = -11*u - 53. Let k be f(-5). Is 1 greater than or equal to k?
False
Let p = 0.04 - 9.04. Let j = -9.1 - p. Which is smaller: j or -9?
-9
Suppose -5*g + 22 = 3*q + 1, 0 = 3*g. Let n(x) = -x + 3. Let o be n(q). Let d be ((-3 + 2)/1)/o. Which is bigger: d or 0?
d
Let x be 3/(1 - -2) - 0. Let c = x + -2. Are -2/9 and c unequal?
True
Let l be (1/(-10))/(4/(-5)). Let c(y) = -y + 8. Let i be c(6). Suppose d - 2*j - 5 = 0, i*j + 2*j + 9 = d. Which is smaller: d or l?
l
Let g = 367 + -5503/15. Let f(a) = -a**3 - 5*a**2 - 3*a + 4. Let x be f(-4). Let o = 0 + x. Which is bigger: o or g?
g
Suppose -6 = -m + 3*m. Let c(q) = q**3 + 7*q**2 + 5*q - 8. Let w be c(-6). Which is smaller: w or m?
m
Let v be 0/7 + 2/(-5). Suppose -5*z = -z. Is v at most as big as z?
True
Suppose 3*g - 7*g = 140. Let a = -141/4 - g. Let j = -1 + 3. Which is smaller: j or a?
a
Let z = -3 - -6. Suppose 0 = z*x - 3 - 0. Which is bigger: x or -2/15?
x
Let s = -0.3 + 0.6. Let t = -1.3 + s. Let m = -131 + 1177/9. Is m < t?
False
Let h = -392/3 + 129. Is -0.1 >= h?
True
Let i(h) = -h**2 - 8*h - 5. Let n(r) = -r - 1. Let u(l) = i(l) - 3*n(l). Let d be u(-3). Are d and 5 non-equal?
True
Let l be (2/(-4))/((-7)/112). Suppose 0 = -s + 12 + l. Let j be (-1)/5 + (-136)/s. Is -8 less than or equal to j?
True
Let z = -44 + -69. Let v = -447/4 - z. Let f(n) = n**2 + n + 2. Let p be f(0). Is p less than v?
False
Let g(s) = -3*s - s + 9 + 2*s + 0*s. Let j(l) = 5*l + 1. Let o be j(1). Let p be g(o). Which is bigger: -1 or p?
-1
Let d be (4 - 4) + 0/(-2). Suppose -2*o + 2*c - 18 = -5*o, -o = -2*c - 6. Let n be 3 + (d - 14/o). Which is smaller: n or 0?
0
Let j = -11 + 12. Let w be (j + -1)*(-11 - -10). Is -2/11 greater than w?
False
Let q(d) = -6*d + 46. Let z(b) = -b + 9. Let j(c) = 2*q(c) - 11*z(c). Suppose -4*k - 5*o = 23, -4*o + 2 = -2. Let r be j(k). Which is bigger: r or -2/9?
r
Let d = 3 - 1. Let v = 2314/7 - 330. Is d < v?
False
Let x(q) = q**3 - 5*q**2 - 4*q - 13. Let f be x(6). Let z be 2*1/(-28)*4. Is f >= z?
False
Let o be ((-35)/(-20))/(1/4). Let n = o - 8. Is n at least as big as -6?
True
Let b = 1.2 - 0.2. Let l(v) = v**3 + 3*v**2
|
{
"pile_set_name": "DM Mathematics"
}
|
qual to c?
True
Let u be (2 + (-3)/2)*-2. Let i = -11867/10182 - 2/1697. Do i and u have the same value?
False
Let o = -1.4 - 0.1. Let x = -1.47 - o. Let g = 2.1 + -2. Is g smaller than x?
False
Suppose -2*v + 0*v - 316 = 0. Let s = 1104/7 + v. Is s >= 3?
False
Suppose 7*y - 4*y - 5*m = -20, 0 = 5*y - 3*m + 12. Which is greater: -14/31 or y?
y
Let u = 1147/9 + -127. Let n be ((-1)/9)/((-1)/1). Let p = n - u. Are p and 0 equal?
False
Let b = -572.52 - -559. Let z = -0.52 - b. Which is greater: 0.1 or z?
z
Let q = -32.59 + -1.41. Let s = 33 + q. Are s and 4/33 equal?
False
Let r(x) = -5*x - 3. Let g be r(-1). Let n be (-64)/(-472)*g/24. Is -1 greater than or equal to n?
False
Let f be (-272)/(-5) + 2/(-5). Let m be 391654/7316 - (-6)/(-177). Is m at most as big as f?
True
Let v be (-66)/88 + -118*2/(-16). Suppose -5*w + 1 = -9. Let q be 77/v - w/(-4). Which is bigger: 4 or q?
q
Let p = 2/87 + -130/609. Suppose -5*r - 5*r = -18*r. Is p greater than r?
False
Suppose -19*w - 68 = -49. Is w not equal to 6/67?
True
Let s be (-5)/(-5 - 0) + 6. Suppose 0 = q - 4*h + 14, -s - 3 = -q - 2*h. Suppose -2*g = q*g. Is g at most as big as 9/4?
True
Let s = -6 + -32. Let n = 83 + s. Let a be -1*(-3 + 129/n). Does a = -1/2?
False
Let x be (233/5 - -1) + 79 + -77. Which is bigger: 50 or x?
50
Suppose 2 + 3 = -p. Let g = 2 - 0. Let h = p + g. Is h < -2?
True
Let k = -6412 - -160196/25. Is -5 less than k?
True
Let p(z) = 20*z + 147. Let k be p(-4). Is -4 greater than k?
False
Let j be (1/(-7))/(2/6). Let v(y) = -y**3 + 8*y**2 - 10*y - 7. Let c be v(6). Suppose c*q = 3*q + 2. Do j and q have different values?
True
Suppose 0 = 5*t - 2*t - 9. Let w be (-62)/8 - t/12. Which is smaller: -10 or w?
-10
Let o = -44 - -179/4. Let v = -595 - -594. Do o and v have the same value?
False
Let j = 12 - -44. Let p = -656 + 657. Are j and p non-equal?
True
Suppose f + 3*f = 0. Let i = 26 + -24. Let b be i/8 + 28/16. Is b smaller than f?
False
Suppose 0 = -6*s + 2556 + 78. Let y = s + -3082/7. Which is bigger: -2 or y?
y
Let l be 1*2*2/2. Suppose n = -3*s - 6 + 31, 38 = 5*s - 2*n. Let t = -6 + s. Is l greater than or equal to t?
True
Let j be ((-48)/30)/(3/15). Suppose 4*i - 35 = -7. Let k = -14 + i. Is k at most as big as j?
False
Let b = 8213/6 + -1363. Is 6 at most as big as b?
False
Let u = -16.4 + 3.4. Let l = 16 + u. Let m = -89.98 + 90. Which is bigger: m or l?
l
Let s = -305.121 - -302.1. Let b = s + 0.021. Which is greater: b or -1?
-1
Suppose -4*a + 27 = w, 5*a - 29 = -2*w + 2*a. Suppose -w*d = -11*d + 20. Are 24/5 and d nonequal?
True
Let n be 24388/402*(-6)/(-7). Is n greater than or equal to 53?
False
Suppose -18*y - 31 = -22*y - 3*k, -4*y + 5*k + 55 = 0. Is y equal to 24?
False
Suppose 0 = 4*b + 11 - 3. Let m(t) = -6*t - 7. Let u be m(-3). Let n(h) = -h + 7. Let f be n(u). Which is smaller: b or f?
f
Suppose q - 41 = -2*l + l, 4 = -2*q. Let p be (-4)/(-36) + (-772)/(-18). Is p <= l?
True
Let r be ((-100)/(-1650))/((-4)/522). Are -9 and r equal?
False
Let r(p) = 3*p**2 - 2*p - 2. Let f be r(2). Suppose -2*u = 5*q + 73, -3*u = 2*q + 5 + 22. Let n be 3/q - f/15. Is n less than 1/4?
True
Let d(t) = -t**2 - 12*t - 19. Let m be d(-8). Suppose 0*n - 2 = n. Let h be n/m + 36/(-273). Is h equal to -6?
False
Let q = 61.6 + 0.4. Let c = 61 - q. Which is smaller: 35 or c?
c
Let w be (9/(-270)*5)/((-1)/38). Let z = -3 + -2. Let u = z + 5.1. Does u = w?
False
Let a be (-8)/28 + 760/14. Let x = a - 53. Is -8 less than x?
True
Let c = 26 - 26. Let t be 4/36*(3 - 0). Which is smaller: t or c?
c
Let k = -84 + 85. Suppose v = -2*v - 15. Is v at most k?
True
Suppose 4*w + 4*q = -48, 5*q + 41 = -4*w - 4. Suppose 9 - 44 = 3*g + 4*k, k + 64 = -5*g. Is g less than or equal to w?
False
Let i be (0 + 1)*-1 + (-2021)/(-2193). Is 1 >= i?
True
Let r = -0.78 + 1.11. Let o = r + -4.33. Which is smaller: -0.02 or o?
o
Let y = -1571/50 + 63/2. Which is smaller: 1.4 or y?
y
Let k(t) = t + 9. Let d be k(-8). Let y be 15/(-27)*(3 + 116/(-20)). Which is bigger: y or d?
y
Let v(f) = f**2 - 13*f - 14. Let a(t) = -3*t - 4. Let y be a(-6). Let w be v(y). Which is bigger: -2/13 or w?
w
Suppose -3*h - 3*u = 7 - 4, -h + 5*u = -29. Let w be ((-8)/10)/((-14)/5). Is w smaller than h?
True
Suppose -5*a + 4 = -1. Suppose 111 - a = 5*k. Is k >= 22?
True
Suppose -4*q = -5*t + 30, -5*t + 8*q - 3*q + 30 = 0. Is t greater than 4?
True
Suppose -2*f + 0 = 2. Suppose -4*c + 4*g = -1496, 0*g + 1830 = 5*c + 3*g. Let p = -7009/19 + c. Is f greater than or equal to p?
False
Let h = 825/14 - 119/2. Suppose 2*i + 0*i = 0. Suppose -5*v = 5 - i, -c + 1 = -3*v. Which is greater: c or h?
h
Suppose 2*p + 4*w - 3*w = 5, 3*w - 4 = 5*p. Let n be 1 - p - (0 - 180/(-32)). Which is smaller: n or -7?
-7
Let q be (-5556)/(-32) + -15 + 6/16. Is 159 at most q?
True
Let h be -8 + 13 - (4 - -6). Which is smaller: h or -24?
-24
Let d = -3 - -1. Let s = 759 - 753. Which is smaller: s or d?
d
Suppose -w + 6*w - 5*a - 10 = 0, 0 = 4*w + 2*a - 8. Suppose w*n - n - 2*h = 9, -h - 9 = -5*n. Let o be (n - 1 - 0) + 0. Is -5/6 smaller than o?
True
Suppose -c + 5*h - 86 = 10*h, -c = 2*h + 74. Are 2/7 and c unequal?
True
Let u be (2 + -2)*(-4 - -9 - 6). Which is smaller: 1/44 or u?
u
Let c be 3*((-4)/(-4))/1. Let v(k) = k**3 - 2*k**2 - 4*k + 2. Let o be v(c). Which is bigger: -11/5 or o?
o
Let n(g) = g**3 + 4*g**2 + 1. Let p be n(-3). Let x(y) be the first derivative of y**3/3 + 2*y**2 - 12*y - 17. Let t be x(-7). Is t < p?
True
Let s = -0.11 + -1.89. Let f = s - -10. Let u = f + -8.2. Is -4 > u?
False
Suppose -3*y - 5*o = 298, -96 = y - 0*o + o. Let k = -638/7 - y. Which is smaller: 15 or k?
k
Suppose 0 = x + 3*h - 767, 2*h = -x - 3*x + 3038. Let y = x + -40172/53. Which is bigger: 0 or y?
y
Let q = -33 - -32.83. Let y = q - -0.17. Which is bigger: y or -10?
y
Let j = 1.27 - 1.17. Is -141 at most as big as j?
True
Suppose 3*j + 4*k - 3 = 0, 2*k - 11 = -3*j - 8. Is j equal to -2/95?
False
Let o = 0.101 - 40.951. Let c = o - -23.78. Let h = 17 + c. Is h equal to 0?
False
Let i = 28 + -28.22. Let j = i + 0.12. Is j at most as big as -14?
False
Let s = -73/34 + -2267/17. Let l = s - -2873/22. Is -4 <= l?
False
Let z = -561/5 - -110. Which is smaller: -1 or z?
z
Let y(v) be the first derivative of -v**4/4 - 8*v**3/3 - 5*v**2/2 + 15*v - 3. Let i be y(-7). Is i smaller than 9/11?
False
Let h(z) = z**3 - 6*z**2 + 2. Let v be h(6). Let t(q) = -10*q**2 - q + 12. Let x be t(-4). Let m = -144 - x. Which is smaller: v or m?
m
Suppose 2*z - 6 = -0*c - 2*c, -c + 3 = -z. Let l be c/(-1) - (-144)/51. Is l != 2?
True
Let r(x) = 4*x + 15. Let y be r(-5). Let j = -77 + 64. Is j greater than y?
False
Let f be ((-104)/300)/(80/(-475)) - 2. Are 0 and f equal?
False
Let n be (1136/8)/(-1 - 1). Let m = -60 - n. Is 13 at most m?
False
Suppose 0 = 4*l - 3*j - 2, -2*j + 12 = -2*l - 7*j. Which is greater: l or 3/152?
3/152
Let x be ((-12)/(-2))/((-5)/(-393 - -8)). Which is smaller: x or 0?
0
Suppose -5*n - 13 = -p, -17*p + 18*p = 4*n + 11. Which is greater: p or 239?
239
Let u = -0.5 + 2.7. Let q = u + -1.8. Is -1 >= q?
False
Suppose 34*g - 36*g - 6 = -3*b, 5*g + 3*b - 6 = 0. Let n(j) = -4*j + 5. Let p be n(-6). Is p < g?
False
Let m = -583/5 + 117. Let b = 23 - 12. Let i = 11.3 - b. Which is smaller: m or i?
i
Let w = -1521/977 - 23384595/6839. Let c = 3414 + w. Which is smaller: c or -7?
-7
Let q = 26436 + -132594/5. Is q <= -83?
False
Let z be 37/(1*(6 - 7)). Which is greater: z or -38?
z
Suppose -2*g = -0*g - 4. Suppose g*f + l = 9, -2*f - 2*l + 23 = 3*f. Let j(r) = 69*r + 419. Let h be j(-6). Is f at least h?
True
Let t = -1563 + 1565. Which is smaller: -816 or t?
-816
Suppose 0 = 4*a - 2*a. Let y be (9/84)/(48/84)*(-4)/(-3). Do y and a have the same value?
False
Let v = 228 - 150. Suppose 0 = -2*t + 246 + v. Let r = t + -1132/7. Is r smaller than 1?
True
Let n = -370888/95 + 3904. Let r = -823/380 + n. Which is bigger: -2 or r?
-2
Suppose 6*y + 3*n + 91 = 4*y, 0 = -3*y + 3*n - 144. Is -48 at most y?
True
Let c be (-10 - -10) + 5/1. Suppose c*q - 5 = -35. Let f be (-9)/q*8/4. Which is greater: 7/2 or f?
7/2
Let n be (-2 - -1) + 37/35. Let g(t) = t**2 - 14*t + 22. Let o be g(13). Suppose 17 = 3*k - 4*d, -3*d = -5*k + o + 1. Do n and k have the same value?
False
Let g = -714 - -71
|
{
"pile_set_name": "DM Mathematics"
}
|
1200010 (base 3) in base 5?
4241203202
447753 (base 9) to base 13
95097
-130822 (base 9) to base 2
-10011011000101000
-2433131 (base 6) to base 3
-20112222001
212220021202 (base 3) to base 14
c3610
1c94ac (base 13) to base 8
2632630
-922046 (base 10) to base 5
-214001141
Convert -8aa78a (base 12) to base 16.
-21d1da
-d448 (base 16) to base 2
-1101010001001000
Convert 212332001 (base 4) to base 3.
22002221202
What is 2270c (base 15) in base 7?
634332
-247964a (base 11) to base 15
-59ec82
What is -10120113211 (base 4) in base 9?
-2140257
Convert 486321 (base 9) to base 3.
112220100201
What is -76674 (base 14) in base 10?
-286654
b317b (base 12) to base 6
5001035
What is 101141 (base 12) in base 7?
2063026
Convert 11122266 (base 7) to base 8.
3532061
-4124331 (base 5) to base 12
-33062
What is -168459 (base 12) in base 2?
-1011110101010000101
130031323003 (base 4) to base 14
da7a15
1a1851a (base 12) to base 4
111001013212
-10000101000100000 (base 2) to base 16
-10a20
Convert 34012240 (base 6) to base 14.
1caa2c
572687 (base 14) to base 3
12120121221222
Convert -741921 (base 13) to base 3.
-12010001002010
Convert -1770d (base 15) to base 9.
-125024
What is -11545155 (base 6) in base 16?
-5ac5f
What is 202203210 (base 5) in base 12?
336090
What is 20722a (base 11) in base 12?
13bb51
What is 1201552222 (base 6) in base 3?
221110100221012
4379d (base 16) to base 4
1003132131
Convert 874f1 (base 16) to base 4.
2013103301
-2725477 (base 13) to base 6
-1120032114
What is -126526104 (base 7) in base 16?
-7d4159
Convert -44123421 (base 5) to base 11.
-23a439
What is -100100111010101100101 (base 2) in base 15?
-18d66b
Convert -2521144 (base 6) to base 13.
-49627
-20020102012200 (base 3) to base 9
-6212180
Convert 32a5a (base 11) to base 9.
72577
What is -4a46975 (base 12) in base 3?
-1000100001020022
What is 1112212223 (base 4) in base 12?
15134b
Convert 12202221111 (base 3) to base 15.
23a3d
Convert 13114210020 (base 5) to base 14.
220a4d9
Convert -2005145 (base 8) to base 2.
-10000000101001100101
110663 (base 10) to base 13
3b4a7
-645a0 (base 12) to base 8
-402110
3ff82 (base 16) to base 6
5341014
Convert -712bc (base 16) to base 11.
-2972a8
-10a38 (base 12) to base 15
-68b5
Convert 51259 (base 14) to base 2.
101111101011011111
-21232203133 (base 4) to base 14
-4a5419
Convert 87903 (base 12) to base 6.
3502003
What is 1975843 (base 10) in base 9?
3641311
What is -b4031e (base 15) in base 2?
-100000101000111100101001
-482448 (base 15) to base 14
-65b522
46970 (base 14) to base 8
517726
What is -22536107 (base 8) in base 15?
-66b343
131200642 (base 7) to base 2
11111111111100111001001
-a2d4a (base 14) to base 3
-201221002020
What is 108116 (base 10) in base 15?
2207b
-dc875a (base 14) to base 2
-11100100001001110001100
-5122396 (base 12) to base 11
-8659206
Convert -422341 (base 6) to base 14.
-c6b3
What is 1626412 (base 7) in base 10?
225556
What is 33836 (base 11) in base 9?
74088
564217 (base 8) to base 2
101110100010001111
Convert -2314101 (base 5) to base 16.
-a330
Convert 671b8 (base 12) to base 8.
413134
4801685 (base 9) to base 14
4b946c
Convert -455325 (base 7) to base 14.
-217bc
Convert -2338139 (base 10) to base 2.
-1000111010110101011011
Convert 8b447 (base 14) to base 5.
41311414
What is 20427 (base 14) in base 9?
127458
Convert -163575 (base 10) to base 11.
-101995
What is -19a5734 (base 11) in base 3?
-20100110120212
Convert a951a (base 12) to base 5.
24124104
Convert 5e3c5 (base 15) to base 7.
2363144
What is 31445d (base 15) in base 9?
4361277
What is -1020021002 (base 3) in base 14?
-8ba0
221121122 (base 5) to base 7
11066006
Convert -7a954 (base 11) to base 12.
-57815
Convert -1010011101001 (base 3) to base 10.
-593677
15173560 (base 8) to base 7
41335110
Convert -122112221 (base 3) to base 11.
-9683
27c5772 (base 13) to base 2
110000000110000010101110
700866 (base 10) to base 9
1277360
1011021002 (base 3) to base 10
22790
Convert -22542430 (base 6) to base 2.
-10101010010111110010
What is 10a078e (base 15) in base 9?
24344708
-159105 (base 16) to base 13
-3a6428
-4955b6 (base 14) to base 5
-1120340100
Convert 112568 (base 10) to base 11.
77635
-238a79 (base 12) to base 8
-2143375
What is -18a4b55 (base 12) in base 16?
-4f3b71
11001101111000100 (base 2) to base 4
121233010
2120111001202 (base 3) to base 9
2514052
1785210 (base 13) to base 4
131033200110
4511a (base 13) to base 7
1031442
2a636a (base 12) to base 16
aec82
2a9a7 (base 14) to base 8
317307
Convert -2321140013 (base 5) to base 6.
-304351345
What is 173391a (base 11) in base 9?
5482733
Convert 2301003023 (base 4) to base 10.
725195
944301 (base 11) to base 13
40ccb4
10301102313 (base 4) to base 14
247a07
212942a (base 12) to base 5
3101402214
12232313010 (base 4) to base 7
21000126
-1778708 (base 11) to base 16
-2df92c
-52c7 (base 15) to base 8
-42150
96373 (base 11) to base 5
13441243
What is -359735 (base 11) in base 9?
-1056738
1df97 (base 16) to base 10
122775
6522187 (base 9) to base 4
31112022013
-bb3e (base 15) to base 4
-21223223
What is -32033332033 (base 4) in base 6?
-212021411
Convert 1024030401 (base 5) to base 14.
408311
-11014002141 (base 5) to base 9
-24275362
Convert -1062661 (base 8) to base 15.
-5a5bc
Convert -2103202 (base 5) to base 8.
-103762
37062a2 (base 12) to base 3
202011011010012
What is 5d455 (base 14) in base 2?
110111110100000011
What is -5219773 (base 10) in base 9?
-10735157
Convert -3151372 (base 10) to base 15.
-423b17
Convert 10230101014 (base 5) to base 11.
60a661a
-ac32 (base 16) to base 7
-242343
124523112 (base 7) to base 9
16001070
-75306 (base 13) to base 11
-134935
Convert -4222403124 (base 5) to base 2.
-100001100011000000110100
Convert 4137c (base 14) to base 10.
157106
584260 (base 15) to base 10
4215915
545a3 (base 11) to base 10
79247
1121221032 (base 4) to base 6
11511530
Convert -64b1b2 (base 13) to base 12.
-9615ab
What is -75270 (base 9) in base 6?
-1022313
Convert 206753 (base 12) to base 13.
14a95a
Convert -6c396a (base 14) to base 6.
-211132254
1237c8 (base 14) to base 11
39716a
What is -3445011 (base 6) in base 13?
-6294a
Convert -272385 (base 15) to base 10.
-1880675
Convert -166601 (base 12) to base 10.
-384481
4498a9 (base 11) to base 4
2232300322
Convert -10001111010101111101 (base 2) to base 5.
-122242013
What is 516803 (base 9) in base 14?
7db67
-2235331 (base 7) to base 2
-1000011110111101111
What is 411956 (base 10) in base 14?
aa1b6
What is 212b7 (base 16) in base 7?
1104050
-23a70 (base 14) to base 10
-87122
100010100111000011011 (base 2) to base 8
4247033
Convert -10000100000000011 (base 2) to base 10.
-67587
1021212022112 (base 3) to base 11
429626
13450144 (base 7) to base 13
34c7a4
What is 635a95 (base 13) in base 11?
1349812
What is 201332 (base 10) in base 12?
98618
Convert 132131 (base 12) to base 4.
1030310311
Convert -24134443 (base 5) to base 10.
-224373
24232342 (base 5) to base 8
673626
Convert -502303 (base 6) to base 16.
-99ff
Convert 1598008 (base 10) to base 13.
43c489
1235056 (base 8) to base 12
1462ba
What is 706d8 (base 14) in base 12?
1104b2
Convert -10000000000110100001110 (base 2) to base 12.
-14a523a
What is -226775 (base 9) in base 7?
-1105112
Convert 8140a9 (base 13) to base 4.
23132111120
-b9a67 (base 12) to base 15
-4c997
-28f26 (base 16) to base 3
-22112001210
633 (base 7) to base 10
318
What is 20110100202 (base 4) in base 10?
2180130
-1000011100111001011 (base 2) to base 16
-439cb
What is 1011100000111010001 (base 2) in base 11?
238518
-2c68ac (base 13) to base 11
-691495
-180b8 (base 16) to base 11
-67aa5
-249382 (base 10) to base 2
-111100111000100110
What is 195494 (base 12) in base 6?
13311104
Convert -54a10 (base 13) to base 5.
-14401141
Convert 403245 (base 15) to base 6.
145155432
Convert 18bb5 (base 12) to base 13.
1368b
1432135 (base 6) to base 5
10112024
7547a1 (base 11) to base 9
2238427
Convert 4230371 (base 9) to base 2.
1000101000101100101100
-844452 (base 13) to base 12
-10526b3
1065 (base 15) to base 8
6616
What is -12b073 (base 12) in base 7?
-2426016
Convert -3daab9 (base 15) to base 3.
-12121000101210
What is 13755203 (base 9) in base 6?
402155350
What is 212230321331 (base 4) in base 11?
57aa436
Convert 101101011011101101100 (base 2) to base 5.
340114443
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 35*s**2 - 393*s - 431. Let w(j) = -2*f(j) - 17*q(j). Give w(-22).
10
Let y = -20 - -26. Let x(i) = 4*i - 23. Let w be x(y). Let o(b) = 23*b**3 + w - 22*b**3 - 8*b + b + b**2 + 5*b**2. Determine o(-7).
1
Let c(q) = 122*q - 4. Let l(n) = -10*n**2 - 61*n - 83. Let g be l(-4). Determine c(g).
118
Let s = 117 - 118. Let o be (7/(s*56))/((-2)/16). Let n(l) = 9*l + 1. Determine n(o).
10
Suppose -1432 + 1429 = 3*u. Let t be -3 + 9 - (10 - (u - 0)). Let a(x) be the second derivative of x**5/20 + x**4/4 - 7*x**3/6 + x**2 - x. Calculate a(t).
-13
Let j(z) be the third derivative of z**6/120 + z**5/15 - 5*z**3/6 - 2657*z**2. What is j(-4)?
-5
Let v(c) = c**3 - c + 5. Suppose 0 = 2*m + 4*m - 2*m. Let d be v(m). Let x(w) = 2*w**2 - 6*w - 11. Let i be x(d). Let r(f) = -f**3 + 9*f**2 + 3. Determine r(i).
3
Suppose -15*y = -11*y - 11*y - 84. Let z(s) = 5*s + 54. Determine z(y).
-6
Let z be (0 - (-94)/8) + 3/12. Let d be z/(-1 - -4)*7. Let g be (-8)/d - (-4)/14 - -2. Let v(k) = -6*k. Calculate v(g).
-12
Let c(y) = -2*y - 15. Let n be 168/20 + 12/(-30) + -3. Let z(h) = 8*h**2 - 44*h + 12. Let p be z(n). Calculate c(p).
1
Let g be 8/3*(-13 - -16). Let s(l) = -3*l**2 - l**2 + 9*l - 4 + 3*l**2. Determine s(g).
4
Let p(o) be the third derivative of -o**5/60 + o**4/2 + 11*o**3/3 + 6*o**2 - 16*o. What is p(13)?
9
Let z be 14*-2*2/(-8). Let u(a) = 4*a - 26 - 30 + 52 - 4*a**2. Let f(i) = -i**2 + 2*i - 1. Let o(b) = 5*f(b) - u(b). What is o(z)?
-8
Let a(o) = -4*o**3 - 15*o**2 + 6*o - 4. Let c(z) = -3*z**3 - 13*z**2 + 7*z - 7. Let u(b) = -2*a(b) + 3*c(b). Determine u(-10).
-3
Let p(q) = -3*q**3 - q**2. Suppose -4*k + 5*s = -6, -4*k = -2*s - 19 + 7. Suppose 3*r = -k*m - r - 16, r = m - 6. What is p(m)?
-4
Let w(q) = 5*q**2 + 4. Let t(u) = -6*u - 2*u - 2*u**2 + 12*u - 2*u. Let r(v) = 3*t(v) + w(v). Calculate r(6).
4
Suppose -5*g + 237 = -n, 5*g - 5*n + n - 228 = 0. Let c = -10 - 2. Let t be c/g - 11/4. Let d(i) = -i - 7. Calculate d(t).
-4
Let h(i) = -4*i**3 - 85*i**2 - 9*i - 73. Let t(f) = -2*f**3 - 44*f**2 - 4*f - 37. Let a(c) = -2*h(c) + 5*t(c). Give a(-25).
11
Suppose 729 = 99*p + 135. Let s(v) = -2*v**2 + 9*v - 3. Let r(h) = -10*h**2 + 45*h - 16. Let g(x) = -2*r(x) + 11*s(x). Calculate g(p).
-19
Let y(q) = 5*q**2 + 148*q + 84. Let f be ((-348)/20)/((-108)/(-180)). What is y(f)?
-3
Let s(l) = 5*l + 10. Let r(v) = -2*v**3 + 46*v**2 - 48*v + 90. Let u be r(22). Calculate s(u).
20
Let q(x) = x**3 + 2*x**2 + 3*x + 10. Suppose -72*a + 279 = -165*a. Calculate q(a).
-8
Let h(p) = 33*p**2 + 3*p + 8. Let q(d) be the first derivative of 11*d**3/3 + d**2/2 + 3*d - 6. Let y(i) = -4*h(i) + 11*q(i). Give y(1).
-11
Let z(x) be the first derivative of x**4/4 + 5*x**3/3 + x**2/2 + 7*x + 769. What is z(-5)?
2
Let a be (20/1)/5 + 0 - 2. Let i(v) = 2*v**2 + v - 3*v**a - 17 + 29 - 14. Determine i(3).
-8
Let c(q) = -12*q. Let l = -53 - -68. Suppose l*z + 2 = 2. Suppose -12 = -2*f - 5*k, -f + 3*f + 4*k - 10 = z. Determine c(f).
-12
Let u(n) = 57 + n**3 + 41 + 53*n**2 - 24*n**2 - 9*n - 36*n**2. Give u(6).
8
Let w be (((-816)/(-15))/17)/((-1)/(-55)). Let g(i) = 5*i**2 - 9*i - 3*i**2 + 183 - i**2 - w. What is g(6)?
-11
Let z(x) = x**3 + 3*x**2 + x. Suppose 4 = 2*f + 2*m - 94, -3*f - 2*m = -145. Let l be -1 - -56 - (-21 - -26). Let d = f - l. What is z(d)?
-3
Suppose -11*s = -9*s - 306. Suppose 5*w + 4*y - 189 = 0, 3*w + 42 = -3*y + s. Suppose -42*l + 6 = -w*l. Let t(k) = -k**3 + 6*k**2 - k + 1. Give t(l).
-5
Let q(b) = 34631*b**2 + 11*b - 34629*b**2 + 4 - 16. Determine q(-6).
-6
Let k(m) = m**3 + 12*m**2 + 10*m + 15. Let g = -7362 - -7350. Calculate k(g).
-105
Let a(j) = 2*j + 2 + 2*j - 3*j. Let k(s) = s**3 + 2*s**2 + 10*s + 6. Let p(o) = -o**2 + 2*o + 1. Let q(w) = k(w) - 2*p(w). Let g be q(-2). Give a(g).
2
Let o(h) = 38*h**3 - h**2 - 14 + 11*h - 36*h**3 + 21 - 15*h. What is o(3)?
40
Let j(z) = 0*z - 441 + 50*z + 443. Let o(g) = -28*g - 1. Let d(q) = -4*j(q) - 7*o(q). What is d(2)?
-9
Let f = 178 - 185. Let o(y) = -8*y**2 + 11*y + 19. Let m(n) = -7*n**2 + 10*n + 17. Let c(j) = f*m(j) + 6*o(j). Calculate c(6).
7
Let f(d) = -60*d - 514. Let x(y) = -5*y + 6. Let o(n) = f(n) - 10*x(n). Give o(-56).
-14
Let j(k) = 4*k - 26 + 12 - 5*k + 6 + 11. Calculate j(15).
-12
Let l(g) be the second derivative of g**3/2 + 2*g. Let f = -1902 + 1903. Let q(h) = -h - 1. Let u(m) = f*l(m) + 4*q(m). Give u(-6).
2
Suppose 17 = 3*y - 13. Suppose 0 = y*v + v - 33. Let l(n) = -3*n - 19 + n + v*n + 6*n**3 + 18. Calculate l(1).
6
Let l(o) = o**3 + 21*o**2 + 51*o - 48. Suppose -42*r - 1690 + 934 = 0. Calculate l(r).
6
Let f(d) = 23*d - 190. Let u(l) = 390*l - 3240. Let v(o) = -35*f(o) + 2*u(o). Give v(6).
20
Let h(t) = -t**2 + 19*t + 213. Let a be (66/99)/((-2)/324*-4). Determine h(a).
-3
Let g(t) = -7 - 3*t**3 - 3*t**2 + 2*t**3 + 8 + 3*t + 2. Let n be (14/(-4) - -1)*-4. Suppose -n*u + 60 = -25*u. Give g(u).
7
Let t be 25648/(-756) + 34 + (-160)/(-27). Let s(p) = 2*p**3 - 14*p**2 + 12*p + 2. What is s(t)?
2
Let l = 27 + -25. Suppose 0 = -l*r + 61 + 5. Suppose -3*k + r = -2*j, -j = -3*k - 3*j + 21. Let o(n) = -n**2 + 10*n - 1. Calculate o(k).
8
Let b(n) = -7*n + 1. Let f(l) = l**3 + 6*l**2 - 20*l - 18. Let i be f(-8). Give b(i).
-97
Let y be ((-145)/(-15) - 10)/(98/24 - 4). Let s(l) = -17*l - 59. Determine s(y).
9
Let a(w) = 3*w**3 - w**2. Let j be a(1). Let s(r) be the third derivative of -1/40*r**6 - 1/24*r**4 + 4*r**2 + r + 0 + 1/15*r**5 - 1/3*r**3. What is s(j)?
-12
Let k(q) = 21*q + 657. Let s be k(-32). Let d(m) = 16*m + 243. What is d(s)?
3
Let u be -3 + (-4 - -9) + -3. Let s(f) = f**3 - 5*f**2 + 7*f + 6. Let c(d) = -3*d**3 + 6*d**2 - 8*d - 7. Let m(a) = -5*c(a) - 6*s(a). Give m(u).
-8
Let l(w) = 22*w + 391. Let y(r) = 10*r + 179. Let k(q) = -11*l(q) + 24*y(q). Let j(o) = o**3 - 4*o**2 + 2*o - 3. Let n be j(4). What is k(n)?
-15
Let m(t) = -t**3 - 4*t**2 - 3*t - 10. Let u be m(-4). Let s(d) = 9*d + 7 - 457*d**u + 1 + 456*d**2. Determine s(9).
8
Let q(w) = -w**3 - w - 26. Let p = 19 - 8. Let o be 63/630 + (p/(-10) - -1). What is q(o)?
-26
Let u(a) = a**2 - 7*a - 4. Suppose j = -5*l + 5, 77 = 5*j - 0*j - l. Suppose q - j*i + 17*i = 2, 3*q - 16 = -i. Give u(q).
-10
Let a(c) = c - 479 + 120 + 119 + 120 + 114 - 6*c + c**2. Let m be 1 - (-2 + 4) - -6. Give a(m).
-6
Let k be 4 - (0 - (3 - 3)). Let y(o) = 99*o - 105*o - 6*o**2 + 5*o**2 - k. Suppose 0 = g - 5 + 9. Calculate y(g).
4
Let c(j) = -j**3 + 10*j**2 + j + 4. Let z(d) = 39*d + 239. Let l be z(-6). Suppose l*w - 3 - 47 = 0. Calculate c(w).
14
Let i = 311 - 575. Let y = i + 266. Let j(s) = 6*s**2 - 3*s + 1. What is j(y)?
19
Let g(t) = 48*t**2 + 24*t - 139 + 113 - 46*t**2. Calculate g(-13).
0
Let q(f) = -2*f**3 + 6*f**2 + 2*f**3 + 3*f + f**3 + 5. Let b be (-25 - -128) + -97 - 11*1. What is q(b)?
15
Let h(d) = -2 - 4*d - 3*d - d**2 + 2*d. Let m(z) = -z**2 + 99*z + 9537. Let b be m(-60). What is h(b)?
4
Let i(s) = -7*s**3 + 6*s**2 + 7*s + 3. Let d(h) = 10*h**3 - 4*h**2 - 7*h - 13. Let f(t) = 2*d(t) + 3*i(t). Give f(11).
-61
Let k(n) = -n**2 + 7*n + 5. Let l be k(8). Let x(d) = -76*d**2 + 4*d + 1. Let p(u) = 177*u**2 - 9*u - 2. Let o(b) = 3*p(b) + 7*x(b). Give o(l).
-11
Let n(p) = -p - 23. Let l be -24 + (1 - 10)*(-48)/108 + 4. Calculate n(l).
-7
Let h(v) = 192*v**2 - 196*v**2 - 3*v**3 + 4*v + 2*v**3. Let w(y) = y**3 - 5*y**2 - 6*y - 5. Let r be (-18)/(-3)*(-2)/(-2). Let l be w(r). What is h(l)?
5
Suppose 3*s - 15 = -3*l, -7*l + 4*l = 2*s - 13. Suppose -a + 1 = 3*n, -11 = l*a - 3*n - 2. Let v(p) = -p**3 - 4*p**2 - 3*p - 3. Give v(a).
-5
Suppose 3*y = 4*q + 25, 34*q = y + 36*q - 5. Let w(r) = -3*r**2 - 3 + 5*r - 3 + 2*r**2 + 9. What is w(y)?
-11
Suppose 12*r - 7 = 11*r - 3*k, 4*r + 2*k = -2. Let u(w) = 2*w**2 - w - 8. What is u(r)?
2
Let k(q) = -q**3 + 8*q**2 - 11*q - 11. Suppose 23*r + 4438 = 4576. What is k(r)?
-5
Let n = -15173 - -15167. Let k(o) = -o**3 - 4*o**2 + 13*o + 2. Calculate k(n).
-4
Let f(j) = -j**2 - j - 7. Let p(h) = 7*h**2 + 26*h + 53. Let x(c) = -5*f(c) - p(c). What is x(-9)?
9
Let p(h) = 2*h**2 + 4*h + 20. Let x be ((-1)/(-3)*-5)/((-61)/(-183)). Let n(g) = g**2 + 3*g + 9. Let b(f) = x*n(f) + 2*p(f). Calculate b(-7).
-5
Suppose -5*y = -3*u + 1368, -289 + 1675 = 3*u + y. Let p(m) = -921*m + 459*m + u*m. Give p(-4).
4
Suppose -5*c + 3 = 4*t, -2 + 7 =
|
{
"pile_set_name": "DM Mathematics"
}
|
mine m(g(x)).
-45448*x + 76544
Let m(b) be the third derivative of -461*b**8/20160 - 7*b**5/5 - 22*b**2. Let j(z) be the third derivative of m(z). Let s(r) = r. Calculate s(j(x)).
-461*x**2
Let l(a) = -2*a**2. Suppose 5*o + 5*n - 5 = 0, 0*o + 2*n - 14 = -5*o. Let v be (o/(-8)*-1)/((-4)/(-240)). Let d(q) = -30*q - 24*q - v + 30. Calculate l(d(i)).
-5832*i**2
Let r(f) = -5536*f**2. Let j(l) be the first derivative of -l**2 - 2521. What is r(j(k))?
-22144*k**2
Let o(v) = -31*v. Let h(g) = 942*g - 694*g - 248*g + 236*g**2. What is o(h(r))?
-7316*r**2
Let m(w) = 80*w. Suppose -6*l + 247 - 211 = 0. Let z(b) = -8*b**2 - 6. Let f(x) = 7*x**2 + 5. Let s(d) = l*f(d) + 5*z(d). Calculate s(m(k)).
12800*k**2
Let u(a) = -4*a**2. Let y(p) = 13*p**2 + 1806655*p - 1806655*p. Determine u(y(i)).
-676*i**4
Let u(w) = 24*w**2 - 10*w + 5. Let d(v) = 29*v**2 - 12*v + 7. Let l(o) = 5*d(o) - 6*u(o). Let b(i) = 128*i. Give l(b(j)).
16384*j**2 + 5
Let j(m) = -12*m**2. Let o(c) = 29*c - 2104. Give o(j(i)).
-348*i**2 - 2104
Let u(l) = -5*l + 3. Let s(x) = -48*x + 66. Let d(q) = -4*s(q) + 88*u(q). Let b(j) = 2*j**2. What is d(b(w))?
-496*w**2
Let t(j) = -8*j - 8. Let u(l) = 6*l**2 - 3*l. Let g(w) = 3*w**2 - w. Let b(p) = 3*g(p) - u(p). Give b(t(x)).
192*x**2 + 384*x + 192
Let z(l) = 11*l - 1. Let x(v) = -3*v. Let o(i) = -9*x(i) - 2*z(i). Let r(a) be the second derivative of -2*a**3/3 + 603*a - 6. Calculate o(r(u)).
-20*u + 2
Let q(t) = -117 + 236 - 119 - 25*t + 16*t. Let n(y) = -8*y + 2. Give n(q(v)).
72*v + 2
Let o(i) = 1823973*i**2. Let u(w) = 26*w. Determine o(u(f)).
1233005748*f**2
Let f(l) = -6*l - 210. Let d(r) = -r**2 - 20. Calculate f(d(o)).
6*o**2 - 90
Let b(d) be the first derivative of d**3/3 - 1814. Let h(s) = 288*s. Determine b(h(j)).
82944*j**2
Let h(x) = 24*x**2 + 54*x - 4. Let o(g) = 3*g**2 + 9*g - 1. Let m(d) = h(d) - 6*o(d). Let a(y) = y - 4. What is m(a(c))?
6*c**2 - 48*c + 98
Let v(l) = -6*l. Let j(r) = 3*r**2 - r - 13. Let s be j(5). Suppose -4*p - k + 4*k = -5, 2*k + 2 = 2*p. Let c(n) = p - s*n + 64*n - 2. Determine v(c(w)).
-42*w
Let u(b) = -b**2 - b**2 + 3*b**2. Let r(f) = 123*f - 4. Let v(z) = 215*z - 8. Let j(h) = 7*r(h) - 4*v(h). Determine j(u(a)).
a**2 + 4
Let g(x) = -x**3 + 2*x**2 + 9*x - 14. Let k be g(3). Let c(n) = 7*n + 2*n - 11*n + k*n. Let r(t) = t**2 - 56. What is r(c(w))?
4*w**2 - 56
Let y(w) = 720 + 755 + 2*w - 2224 + 749. Let u(s) = 4307*s. Determine u(y(x)).
8614*x
Let t(o) = -2*o**2. Let h(b) be the first derivative of -b**4/8 - 5*b**3/2 - 33*b**2 - b + 101. Let a(i) be the second derivative of h(i). Determine a(t(n)).
6*n**2 - 15
Let a(q) = -6*q**2 - 2*q - 163. Let n(p) = -337*p - 1. What is n(a(z))?
2022*z**2 + 674*z + 54930
Let k(g) = 10*g. Let l(s) be the second derivative of s**6/30 - 3*s**3/2 - s**2 + 9*s + 2. Let w(p) be the second derivative of l(p). Give k(w(o)).
120*o**2
Let z(q) = -19*q. Let x(d) = 5309*d - 8. Calculate x(z(h)).
-100871*h - 8
Let y(j) = 2*j**2. Let f(w) = -w**2 + 2519692*w - 1. What is f(y(q))?
-4*q**4 + 5039384*q**2 - 1
Let g(c) be the first derivative of -263*c**3/3 - 291. Let b(a) be the third derivative of a**5/30 + 32*a**2. Determine g(b(d)).
-1052*d**4
Let l(x) = -2*x**2 + 792*x. Let i(g) be the second derivative of g**4/12 - 1481*g. Determine l(i(w)).
-2*w**4 + 792*w**2
Let z = -21 + 29. Let q(c) = -z*c + 0 - 4*c + 0. Let m(w) = -33*w**2 - 29*w**2 - 28*w**2 - 31*w**2 + 154*w**2 - 30*w**2. What is m(q(f))?
432*f**2
Let v(h) = -19*h - 53. Let l(t) = -35*t**2 - 4*t + 2. Determine l(v(o)).
-12635*o**2 - 70414*o - 98101
Let x(d) = -5*d**2. Let f(k) = 21*k**2 - 11*k**2 - 96*k - 7*k**2 + 98*k. What is f(x(b))?
75*b**4 - 10*b**2
Let x(c) = 3*c**2 + 18*c + 4. Let d be x(-11). Let a(j) = -169 + d + 16*j. Let y(p) = 3*p**2. Calculate a(y(l)).
48*l**2
Let r(g) = 155632*g**2. Let b(u) = 461*u. What is r(b(s))?
33075068272*s**2
Let y(k) = k. Let u(b) = -71*b**2 + 6*b - 69. Let p(s) = 72*s**2 - 4*s + 90. Let n(c) = 3*p(c) + 2*u(c). What is y(n(j))?
74*j**2 + 132
Let b be (-10)/(-8) + (5/(-20) - -1). Let x(h) = -13*h**2 + 3*h**2 - 18*h**b. Let u(z) = -7*z**2. Give u(x(q)).
-5488*q**4
Let r(d) be the second derivative of 11*d**4/6 + 202*d - 5. Let t(k) = -20*k**2. What is t(r(s))?
-9680*s**4
Let u be (1 - 2)/((-17)/187). Let m(o) = 9 - u*o - 9. Let r(d) = -6264*d**2 + 2 + 6263*d**2 - 2. Give r(m(g)).
-121*g**2
Let o(g) = -45*g + 9*g + 8*g + 15*g + 11*g. Let q(a) = -1358*a**2 - 2. Determine q(o(j)).
-5432*j**2 - 2
Let t(o) = -21*o. Let j(i) = 9*i**2 - 3058. Determine j(t(k)).
3969*k**2 - 3058
Let v(r) = 3*r. Let f(u) = -631757*u. Calculate f(v(h)).
-1895271*h
Let z(y) = 12*y + 215 - 215 + 0*y. Let a(f) = f**3 - 8*f**2 + 9*f - 1. Let t be a(7). Let k(r) = -25*r + 11*r + t*r. Determine k(z(x)).
-12*x
Let v(j) = -3*j. Let o(r) = -22*r + 200. Let m be o(9). Let n(k) = -135*k**m - 25*k + 51*k - 26*k. What is n(v(u))?
-1215*u**2
Let i(v) = 392*v**2 + 35134. Let n(q) = -q. Give i(n(t)).
392*t**2 + 35134
Suppose -v + 7 = 10*p, 129*v - 137 = 126*v - p. Let o(h) be the first derivative of -v + 1/3*h**3 + 0*h**2 + 0*h. Let a(t) = 9*t. Give a(o(f)).
9*f**2
Let m(g) = -9*g**2 + 5*g + 19. Let j(o) = -2*o - 362. Calculate m(j(z)).
-36*z**2 - 13042*z - 1181187
Let y(a) be the first derivative of a**6/90 + 19*a**3 - 47. Let p(u) be the third derivative of y(u). Let f(b) = -41*b**2. What is p(f(d))?
6724*d**4
Let i(r) = -2*r**2. Let o(f) = -457663*f**2 - 81*f. Calculate o(i(g)).
-1830652*g**4 + 162*g**2
Let g(i) be the first derivative of 13*i**3/3 + 1529. Let l(m) = m**2 + 7*m. Determine l(g(x)).
169*x**4 + 91*x**2
Let m(i) = -88*i**2. Let x(p) = -96814*p. What is m(x(n))?
-824819652448*n**2
Let a(s) = 1482*s**2. Let c(i) = 9184*i. Give a(c(o)).
125000558592*o**2
Let f(u) = -u**2. Let d(v) = 720*v - 1480 + 1480. Determine d(f(r)).
-720*r**2
Let m(s) = 2*s. Let g be (-224)/(-44) + (-7)/77 + (0 - -1). Let d(z) be the third derivative of 0*z + 0 - 1/12*z**4 + 10/3*z**3 + g*z**2. Determine d(m(y)).
-4*y + 20
Let w(x) = 60*x. Let o(c) = -2*c**3 + 13*c**2 + c. Let y(s) = -s + 6. Let n be y(0). Let f be o(n). Let d(t) = -f*t**2 + 75*t**2 - 35*t**2. Give w(d(m)).
-120*m**2
Let y be 4148*3 - (-25)/(150/(-36)). Let x(v) = y + v - 12438. Let k(o) be the second derivative of -5*o**3/3 + 3*o**2/2 + o. Determine x(k(b)).
-10*b + 3
Let v(w) = 3902*w**2. Let p(q) = -575*q**2 + 2 - 5 + 3 + 573*q**2. Calculate v(p(g)).
15608*g**4
Let n = 3421 - 3418. Let b(l) be the third derivative of 0*l**4 + 1/60*l**5 + 0*l**n + 16*l**2 + 0 + 0*l. Let t(j) = -7*j**2. What is t(b(p))?
-7*p**4
Let c(w) = -22*w**2. Let s(u) be the third derivative of u**4/24 - u**3/2 + 73*u**2. Give s(c(i)).
-22*i**2 - 3
Let j(u) = 2*u**2. Let n(k) = 5531493*k. What is j(n(t))?
61194829618098*t**2
Let r(s) = -2*s**2. Let x(g) = -482561569*g. Determine x(r(v)).
965123138*v**2
Let r(q) = 4*q**2 - 4*q. Let h(x) = 112*x + 896. Let j be h(-8). Let z(b) be the first derivative of 0*b**2 - 1/3*b**3 + 19 + j*b. Give z(r(y)).
-16*y**4 + 32*y**3 - 16*y**2
Suppose 10 = 4*y - 38. Let c(l) = 12 + 2*l - y. Let b(o) = -14159 + 14159 + 7*o**2 - 85*o**2. Calculate c(b(p)).
-156*p**2
Let g(j) = 9*j. Let z(w) = -537*w**2 + 685*w. What is z(g(f))?
-43497*f**2 + 6165*f
Let m(y) = y. Let k(g) = -964*g**2 + 142333*g. Give m(k(x)).
-964*x**2 + 142333*x
Let a(l) = -l. Let c(u) be the third derivative of 1/12*u**5 - 1/24*u**4 + 0*u**3 + 0*u - 31*u**2 + 0. Calculate c(a(r)).
5*r**2 + r
Let r(f) = -26*f**2. Let m = -106 - -141. Suppose -2*t = -7*t + m. Let l(c) = t*c + 3*c - 12*c + 4*c. Determine l(r(y)).
-52*y**2
Let j(c) = 14*c - 4*c + 10*c - 19*c + 12*c. Let z(m) be the second derivative of 7*m**4/12 + m. What is j(z(u))?
91*u**2
Let d(r) = -2156*r. Let c(i) = -640*i**2 + 1262*i**2 - 3*i + 3*i - 625*i**2. Calculate d(c(y)).
6468*y**2
Let w(b) be the third derivative of b**6/40 + 6*b**3 - 3*b**2 + 2. Let h(q) be the first derivative of w(q). Let x(z) = -6*z. What is x(h(j))?
-54*j**2
Let h(z) = -z**2. Let w be 48 - 3 - -1*(-1 + -1). Let m(k) = 215*k**2 + w - 22 + 183*k**2 - 21. Determine m(h(l)).
398*l**4
Let p(t) = -96178497*t**2. Let z(k) = 3*k. Calculate z(p(q)).
-288535491*q**2
Let s(k) be the first derivative of -55*k**3 - 3582. Let g(p) = -p**2. Calculate s(g(j)).
-165*j**4
Let i(k) = -81*k**2 - 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 28. Let y be m(5). Let z(v) = -v - 1. Let i(x) = y*t(x) - 4*z(x). Let c(b) = -b**2. What is i(c(a))?
-26*a**2
Suppose -2*n - g + 44 = 0, -2*n - 12 = -3*n + 2*g. Suppose 32 = n*h - 18*h. Let a(p) = -10*p - 6*p + 2*p**2 + h*p. Let c(d) = 2*d**2. Calculate a(c(b)).
8*b**4
Let c be (-6)/((-4)/(-2))*116/(-87). Let v(x) = -2*x**2 + 8*x. Let t(a) = 3*a**2 - 18*a. Let y(u) = c*t(u) + 9*v(u). Let s(i) = -7*i**2. Determine y(s(f)).
-294*f**4
Let q(c) = c. Let r(l) = 317*l**2 + 11*l - 67 - 642*l**2 + 327*l**2. Determine q(r(b)).
2*b**2 + 11*b - 67
Let r(s) = 168*s - 83*s + 4 - 1 - 7 - 121*s. Let v(w) = -22*w. Give v(r(g)).
792*g + 88
Suppose 94*x = 90*x. Let o(t) = 12*t - 164*t**2 + x*t - 12*t. Let y(j) = -j. Calculate o(y(d)).
-164*d**2
Let c(l) = -2*l. Let k(f) = 0*f**2 + 12 + 4*f**2 - 3*f**2. Let t be k(3). Let x(s) = -s + t*s + 18*s + 5*s. Calculate x(c(i)).
-86*i
Let y(f) = 37*f**2 + 6*f. Let x(j) = -335*j**2 - 55*j. Let l(o) = 6*x(o) + 55*y(o). Let z(m) = -64*m. Give l(z(v)).
102400*v**2
Let x(k) be the third derivative of 0 + 0*k**3 + 0*k - 8*k**2 - 3/8*k**4. Let v(p) be the second derivative of p**4/12 - 2*p. Determine x(v(w)).
-9*w**2
Let l(g) = 2*g. Let u(t) = 1462*t - 151. What is l(u(s))?
2924*s - 302
Let w(s) be the third derivative of -s**5/30 + 11*s**4/24 - 255*s**2. Let g(q) = -q**2. Determine w(g(v)).
-2*v**4 - 11*v**2
Let k(m) = 21*m. Let s(v) = 19950*v - v**2 + 3*v**2 - 19878*v. Calculate k(s(d)).
42*d**2 + 1512*d
Let c = -5 + 11. Let n = c - 4. Let v(p) = 2*p**2 - p**2 + p**n + 0*p**2. Let z(t) = -2*t**2. What is z(v(u))?
-8*u**4
Let o = -84 + 82. Let v(a) = 4*a - 4. Let y(q) = -2. Let z(u) = o*v(u) + 4*y(u). Let k(n) = -10*n. Give k(z(w)).
80*w
Let u(y) = 6895547*y. Let s(d) = 21*d**2. Determine s(u(k)).
998519937013389*k**2
Let a(n) be the first derivative of -2*n**3/3 - 490. Let r(q) = -3674*q**2. What is r(a(y))?
-14696*y**4
Let f(z) = 8*z - 19. Let w(c) be the third derivative of -c**4/3 + c**2 - 433. Calculate f(w(u)).
-64*u - 19
Let q(a) = 2*a**2 + 14*a + 14. Let p be q(-1). Let b(g) = -3*g**2 - 11*g**p - 2*g**2 + 14*g**2 - 10*g**2. Let k(f) = -23*f. What is k(b(m))?
276*m**2
Let z(b) = 7*b - 2724. Let g(m) = -7469*m**2. Give z(g(c)).
-52283*c**2 - 2724
Let f(z) = z**2. Let x(c) = 36*c**2. Let j(y) = -8*f(y) - x(y). Let w(g) = -2*g + 175. Let m(b) = 4*b - 280. Let p(t) = 5*m(t) + 8*w(t). Determine j(p(h)).
-704*h**2
Let o(x) = 18586*x. Let z(q) = -777*q**2. Give z(o(c)).
-268406410692*c**2
Let j(n) = -n**2 - 236. Let x(o) = -16*o**2 - 40*o - 20. Let l(w) = -5*w**2 - 12*w - 6. Let y(f) = 10*l(f) - 3*x(f). Calculate y(j(u)).
-2*u**4 - 944*u**2 - 111392
Let j(z) = 81 + 2*z + 66 - 147. Let m(t) be the second derivative of t**3/3 - 3*t**2/2 + t. What is j(m(y))?
4*y - 6
Let k(o) = 10423*o. Let a(x) = -4412*x - 1. What is a(k(l))?
-45986276*l - 1
Let m(j) = 3*j**2. Let c(i) be the second derivative of -13/6*i**3 + 1/12*i**4 + 0 + 58*i + 0*i**2. Calculate m(c(b)).
3*b**4 - 78*b**3 + 507*b**2
Let c(z) = -4296*z**2. Let k(r) = -4*r**2 + 3*r + 12. Let u(y) = -4*y**2 + 4*y + 16. Let j(p) = -4*k(p) + 3*u(p). Determine j(c(m)).
73822464*m**4
Let o(j) = 1593847*j**2. Let t(y) = -5*y**2. Calculate t(o(r)).
-12701741297045*r**4
Let o(g) = 3*g**2. Let y(x) = 412 - 413 - 230*x - 226*x - 244*x - 370*x. What is y(o(c))?
-3210*c**2 - 1
Let q(v) = 2*v**2 - 341*v. Let n(j) = -5242*j**2. What is q(n(c))?
54957128*c**4 + 1787522*c**2
Let s(h) = 2*h + 525581. Let q(g) = g. Determine q(s(p)).
2*p + 525581
Let d(q) = -2*q**2. Let z(c) = 12079*c + 47. Let p(r) = -755*r - 3. Let t(i) = 47*p(i) + 3*z(i). What is d(t(l))?
-1131008*l**2
Let f(c) = 107 - 293 + 94 + 92 + 6*c**2. Let i(t) = t**2 + 100*t. What is i(f(x))?
36*x**4 + 600*x**2
Let n(t) = -5 + 1 - 257*t + 4 + 252*t. Let y(c) = 205*c**2. Calculate n(y(x)).
-1025*x**2
Let o(i) = -3528*i - 3519*i - 2 + 7052*i. Let p(x) = 24*x**2. What is p(o(k))?
600*k**2 - 480*k + 96
Let u(t) = -1672*t - 1706*t + 2055*t. Let i(h) = 5*h. What is u(i(o))?
-6615*o
Let g(q) = 11*q. Let v(p) = -8*p + 20*p - 17*p - 14 + 7*p. What is v(g(y))?
22*y - 14
Let m(h) be the first derivative of -301*h**2 + 6776. Let g(u) = 8*u. Determine g(m(n)).
-4816*n
Let g(c) = 2*c**2. Let v(w) = 138734224*w**2. Determine g(v(q)).
38494369817764352*q**4
Let g(l) = -4*l**2. Let p(z) be the first derivative of 17*z**5/120 + 70*z**3 - 201. Let q(v) be the third derivative of p(v). Give q(g(i)).
-68*i**2
Let c(a) = -3*a**2 - 4*a. Suppose z + 4 = -0*z. Let o(v) = 3*v**2 + 5*v. Let s(n) = z*o(n) - 5*c(n). Let h(u) = 41*u. What is h(s(x))?
123*x**2
Let s(a) = -66682*a**2 + 1. Let k(n) = -970*n - 2. Give k(s(c)).
64681540*c**2 - 972
Let x(g) = -5*g**2. Let s(d) = -697*d + 340*d + 292*d. Calculate x(s(v)).
-21125*v**2
Let r(p) = -29 + p + 29. Let m(o) = 56*o - 109*o - 61*o - 13*o. Give r(m(k)).
-127*k
Let d(f) = -15*f**2. Let z(n) = 1208*n + 28. Let t(u) = -238*u - 6. Let x(g) = -14*t(g) - 3*z(g). Determine x(d(o)).
4380*o**2
Let b be (-17 - 13)*(-2)/4. Let p(k) = 1. Let q(h) = 2*h + 5. Let v(f) = b*p(f) - 3*q(f). Let r(x) = 4*x**2. Give v(r(i)).
-24*i**2
Let t(g) = g**2 + 14*g + 17*g + 8*g - 39*g. Let w(m) = -25*m**2 - 51*m**2 + 12*m**2 - 48*m**2. Calculate t(w(f)).
12544*f**4
Let x(r) = -4*r**2. Let v(b) be the second derivative of -330*b**3 + 1196*b. What is x(v(s))?
-15681600*s**2
Let x(m) = 2*m**2. Let j(q) = 3146910*q. Give j(x(f)).
6293820*f**2
Let q(o) = 803 - 58 - 243 + 688 + o**2. Let w(j) = 6*j. Calculate q(w(m)).
36*m**2 + 1190
Let b(t) = -29511*t. Let y(j) = 23*j + 14. Determine b(y(c)).
-678753*c - 413154
Let w(m) = -6*m. Let t(r) be the first derivative of 10*r**3/3 - r**2/2 + 47*r - 196. Let n(k) be the first derivative of t(k). Determine n(w(z)).
-120*z - 1
Let y(g) = g. Let k(q) = -1. Let d be (-7)/4 + 18/(-72). Let s = 8 - 9. Let v(x) = x**2 - x + 2. Let i(p) = d*k(p) + s*v(p). Give i(y(w)).
-w**2 + w
Let p be (-4)/(-7) + 3/7 - -6. Let t(y) = -7 + y + p. Let x(v) be the first derivative of 9*v**3 + 10. What is x(t(w))?
27*w**2
Let z(f) = 856*f. Let u(w) = -131394*w. What is z(u(o))?
-112473264*o
Let p(d) be the first derivative of -306 + 228 - d**2 + 0*d**2. Let g(l) be the third derivative of 11*l**5/60 - 3*l**2. What is g(p(f))?
44*f**2
Let t(m) = -211*m + 1. Let d(z) = -2*z**2 - 663. Determine t(d(n)).
422*n**2 + 139894
Let b(u) = -11*u + 2. Let v(q) = 14*q - 51. Let i be v(4). Let s(r) = -23*r**2 + 19*r**2 + i*r**2. Give s(b(c)).
121*c**2 - 44*c + 4
Let a(t) = 2*t**2 + 4. Let g(j) = 43405*j**2 - 86854*j**2 + 43393*j**2. What is g(a(d))?
-224*d**4 - 896*d**2 - 896
Let h(g) be the first derivative of g**2/2 + 3*g + 72. Let t(r) = 56*r + 120. Let w(k) = 40*h(k) - t(k). Let s(b) = 2*b. Give w(s(a)).
-32*a
Let b(c) = -355*c - 7. Let z(r) = 236*r + 5. Suppose 0 = 330*a - 331*a + 7. Let s(n) = a*z(n) + 5*b(n). Let y(w) = -w**2. Give y(s(k)).
-15129*k**2
Let y(f) = 41*f + 2320423. Let c(l) = -l. What is y(c(a))?
-41*a + 2320423
Let h(y) = 207 - 59 - 148 - 718*y. Let r(o) = 8*o**2. Calculate r(h(f)).
4124192*f**2
Let h(o) = 130*o. Let t(j) = 139*j. Let c(g) = 9*h(g) - 8*t(g). Let a(f) = 3*f - 1 + 3*f + 1. Let v(l) = l. Let s(i) = a(i) - 5*v(i). Give s(c(m)).
58*m
Let d(l) = -l + 8. Let k(a) = 3*a - 11. Let w(z) = -2*d(z) - k(z). Let b(g) = -g**2 - 32*g. What is w(b(y))?
y**2 + 32*y - 5
Let i(y) = -100955*y + 2. Let r(a) = 2*a. What is i(r(n))?
-201910*n + 2
Let o(k) = 2924*k + 2. Let w(x) = -79*x + 251. Determine o(w(q)).
-230996*q + 733926
Let z(y) = y. Let p be ((-329)/49 - -7) + (-16)/7. Let m(j) = -2*j. Let a(i) = -44*i + 1. Let g(k) = p*a(k) + 22*m(k). Determine g(z(q)).
44*q - 2
Let c(x) = 18*x. Let a(h) = 1449*h**2 + 117*h - 819. Let g(d) = -25*d**2 - 2*d + 14. Let p(r) = -2*a(r) - 117*g(r). Give c(p(y)).
486*y**2
Let m(u) = 179187127*u. Let y(d) = d**2. Calculate y(m(h)).
32108026482514129*h**2
Let g be 2/(-4) + ((-450)/12)/(-15). Let v(a) = -415*a**g + 39*a**2 + 153*a**2. Let q(j) = -j**2. Calculate v(q(z)).
-223*z**4
Let i(g) = -8 - 4 + 15 + 1259*g - 1254*g. Let d(s) = s**2. Give d(i(x)).
25*x**2 + 30*x + 9
Let c(j) be the second derivative of -j**4 + 36*j + 2. Let x(p) = -3*p + 18571*p**2 - 18577*p**2 + 3*p. Give c(x(n)).
-432*n**4
Let n(o) be the third derivative of -97*o**5/60 + 5*o**2 - 84*o. Let i(j) = 0*j**2 - 3*j**2
|
{
"pile_set_name": "DM Mathematics"
}
|
t is 1/24 of a week in minutes?
420
What is 3/40 of a litre in millilitres?
75
What is 635.1359ug in milligrams?
0.6351359
How many micrometers are there in 51/5 of a millimeter?
10200
Convert 741.5553ml to litres.
0.7415553
What is 18887.94s in minutes?
314.799
How many millilitres are there in three tenths of a litre?
300
What is 963391.1 kilograms in milligrams?
963391100000
What is 786.8479l in millilitres?
786847.9
What is sixty-seven fifths of a meter in centimeters?
1340
How many millilitres are there in thirty-two fifths of a litre?
6400
What is 8677.7 tonnes in grams?
8677700000
How many nanograms are there in 19/4 of a microgram?
4750
How many months are there in 59/3 of a century?
23600
Convert 4.407695 kilometers to nanometers.
4407695000000
Convert 73507.56 months to years.
6125.63
Convert 954.1895 millennia to decades.
95418.95
What is two sevenths of a week in minutes?
2880
How many meters are there in 5927.995 nanometers?
0.000005927995
How many millilitres are there in one quarter of a litre?
250
What is 87416.58l in millilitres?
87416580
Convert 6.9864 centuries to years.
698.64
How many minutes are there in 11/2 of a day?
7920
How many nanometers are there in 7/2 of a micrometer?
3500
How many hours are there in 776215.3 weeks?
130404170.4
What is 4/3 of a minute in milliseconds?
80000
Convert 131186.475 minutes to weeks.
13.01453125
How many tonnes are there in 84.37182 grams?
0.00008437182
How many milliseconds are there in 1/5 of a second?
200
Convert 5.7937 litres to millilitres.
5793.7
Convert 26225291.7us to days.
0.00030353346875
How many millilitres are there in 482.2126 litres?
482212.6
How many milliseconds are there in 3.729068us?
0.003729068
Convert 0.7433564 decades to millennia.
0.007433564
What is 3/25 of a week in seconds?
72576
How many micrometers are there in thirty-four fifths of a centimeter?
68000
How many millilitres are there in 17/4 of a litre?
4250
Convert 521.6794 hours to minutes.
31300.764
How many millilitres are there in 6/25 of a litre?
240
Convert 44493.43 grams to micrograms.
44493430000
What is 4001.06 litres in millilitres?
4001060
How many milligrams are there in eighteen fifths of a gram?
3600
How many months are there in 6/5 of a decade?
144
How many grams are there in twenty-five halves of a kilogram?
12500
What is twenty-one quarters of a day in minutes?
7560
How many millimeters are there in 57/5 of a meter?
11400
What is 31/5 of a litre in millilitres?
6200
How many days are there in 77965.785 minutes?
54.14290625
Convert 0.91431 kilograms to nanograms.
914310000000
How many years are there in 34/5 of a century?
680
What is one fifth of a century in months?
240
What is 5/8 of a week in minutes?
6300
How many millimeters are there in 31/2 of a centimeter?
155
How many kilograms are there in 6072.651 tonnes?
6072651
What is fourty-three quarters of a milligram in micrograms?
10750
Convert 81347.66ml to litres.
81.34766
How many kilograms are there in fifty-three quarters of a tonne?
13250
What is 3.654872 years in months?
43.858464
How many minutes are there in 5/4 of a hour?
75
What is 518122.6 weeks in days?
3626858.2
What is 3/40 of a litre in millilitres?
75
What is 99063.27 kilograms in grams?
99063270
What is 67/4 of a minute in seconds?
1005
What is 18/5 of a litre in millilitres?
3600
What is 37/2 of a meter in centimeters?
1850
How many nanograms are there in 801916.1 milligrams?
801916100000
How many years are there in 6064.011 decades?
60640.11
How many micrograms are there in 3734.689t?
3734689000000000
Convert 0.7106808km to micrometers.
710680800
How many microseconds are there in one fifth of a millisecond?
200
What is one twentieth of a millennium in months?
600
How many centuries are there in 6/5 of a millennium?
12
What is 3/10 of a micrometer in nanometers?
300
Convert 27137.6 litres to millilitres.
27137600
What is 63.65331ns in weeks?
0.000000000000105246875
What is 1/20 of a centimeter in micrometers?
500
How many millilitres are there in 11/8 of a litre?
1375
What is 3/10 of a minute in seconds?
18
How many decades are there in 538749.9 years?
53874.99
What is 844.8152 centimeters in meters?
8.448152
How many kilograms are there in 9/10 of a tonne?
900
What is fourty-two fifths of a decade in years?
84
How many millilitres are there in 11/4 of a litre?
2750
How many litres are there in 9719.849 millilitres?
9.719849
How many millilitres are there in 27/4 of a litre?
6750
How many meters are there in 21/2 of a kilometer?
10500
What is seven quarters of a day in minutes?
2520
What is 3/5 of a centimeter in millimeters?
6
How many decades are there in 51/2 of a millennium?
2550
Convert 0.3929732l to millilitres.
392.9732
Convert 919.6339ml to litres.
0.9196339
How many micrometers are there in 81371.09 kilometers?
81371090000000
How many minutes are there in 3/8 of a week?
3780
How many meters are there in 19/4 of a kilometer?
4750
How many nanometers are there in six fifths of a micrometer?
1200
What is 11/2 of a millennium in months?
66000
What is 11/4 of a litre in millilitres?
2750
How many kilograms are there in eighty-seven halves of a tonne?
43500
How many decades are there in 3/10 of a century?
3
What is 831688.5 days in milliseconds?
71857886400000
Convert 829.2614 nanometers to centimeters.
0.00008292614
What is twenty-six fifths of a meter in millimeters?
5200
How many millimeters are there in 33/5 of a meter?
6600
How many nanoseconds are there in 4.442753 weeks?
2686977014400000
What is 66.12986ml in litres?
0.06612986
What is 104037.2 days in microseconds?
8988814080000000
What is 1/5 of a kilometer in meters?
200
Convert 8.790621mg to kilograms.
0.000008790621
What is 258055.92 months in decades?
2150.466
How many millilitres are there in 918822.2 litres?
918822200
What is 5/4 of a litre in millilitres?
1250
What is 124.8587 decades in months?
14983.044
What is 446.4955ns in milliseconds?
0.0004464955
Convert 644177.4ms to seconds.
644.1774
What is 19389.56um in nanometers?
19389560
How many milliseconds are there in 55872.48s?
55872480
What is five eighths of a litre in millilitres?
625
How many minutes are there in 2/15 of a week?
1344
How many micrograms are there in 11/4 of a milligram?
2750
What is 50370.21 millilitres in litres?
50.37021
How many months are there in 52/3 of a decade?
2080
What is 7.054063 litres in millilitres?
7054.063
How many kilograms are there in twenty-one quarters of a tonne?
5250
How many years are there in 6.137315 millennia?
6137.315
What is 3/50 of a gram in micrograms?
60000
What is 7/4 of a microsecond in nanoseconds?
1750
Convert 14427.75 nanometers to millimeters.
0.01442775
What is twenty-one eighths of a millennium in years?
2625
How many milliseconds are there in 30959.93 nanoseconds?
0.03095993
How many millennia are there in 1955.3985 months?
0.162949875
How many millimeters are there in 5/8 of a meter?
625
How many milligrams are there in 3/8 of a gram?
375
Convert 5.290361 days to microseconds.
457087190400
How many kilograms are there in seventy-one quarters of a tonne?
17750
What is 1/4 of a litre in millilitres?
250
What is three tenths of a hour in minutes?
18
Convert 89137.2006ms to weeks.
0.0001473829375
Convert 90.62373 minutes to seconds.
5437.4238
Convert 996.4431cm to kilometers.
0.009964431
What is 9084.853l in millilitres?
9084853
What is 7.439077um in nanometers?
7439.077
Convert 704.2503km to millimeters.
704250300
What is 831.7753 kilometers in micrometers?
831775300000
How many grams are there in 63569.36ug?
0.06356936
How many millimeters are there in twenty-one halves of a meter?
10500
How many grams are there in 30.94701 micrograms?
0.00003094701
Convert 3896.598m to centimeters.
389659.8
How many millilitres are there in 0.3247519l?
324.7519
What is twenty-seven halves of a litre in millilitres?
13500
How many microseconds are there in 0.8753048 hours?
3151097280
How many months are there in 5/4 of a year?
15
What is 94333623.3ns in weeks?
0.00000015597490625
How many millilitres are there in 27392.7l?
27392700
What is 0.6507987 centuries in months?
780.95844
What is eleven quarters of a century in months?
3300
What is seven quarters of a year in months?
21
What is 3665.936m in kil
|
{
"pile_set_name": "DM Mathematics"
}
|
ssuming s is positive.
s**(5482/111)
Simplify ((k**(-14))**(39/2))**(-15) assuming k is positive.
k**4095
Simplify (w**(-1))**(6/17)*(w/(w/(w/(w*w*(w*w/((w/(w/w**(-5)))/w))/w))))/(w/(w/(w/((w/(w**(-9/4)*w))/w))*w)) assuming w is positive.
w**(-483/68)
Simplify ((((k/k**(-2/7)*k)/k)**(-30))**46)**(-2) assuming k is positive.
k**(24840/7)
Simplify (u**(2/9)*u*u*u)**(2/129)/(u/(u/(u**(-5)*u)))**(3/25) assuming u is positive.
u**(15382/29025)
Simplify g**(-2/7)/((g**(4/5)/g)/g)*g**(-14)*g*g**(-1/7) assuming g is positive.
g**(-428/35)
Simplify (p**(-2)/(p**(-1/4)*p))/(p**(-3))**(-3) assuming p is positive.
p**(-47/4)
Simplify ((t**(3/13)/t*t)/t**11)/(t**2)**(1/3) assuming t is positive.
t**(-446/39)
Simplify (a**(1/7)*a*a*a**(5/3)*a)/(a**7/a*a)**(-40) assuming a is positive.
a**(5981/21)
Simplify (m*m**(2/13))**(-38)/(m/(m/m**(1/3))*m**(13/2)) assuming m is positive.
m**(-3953/78)
Simplify ((o*o**16)/(o/(o*o**31)))/((o**22/o)/o**(1/10)) assuming o is positive.
o**(271/10)
Simplify ((y/(y*y**21))/y)**(-44)*(y**7)**(2/71) assuming y is positive.
y**(68742/71)
Simplify ((((n*n**(-14)/n)/n)/n)/(n/(n/(n*n**(1/17)))*n))/(n*n**1*n)**16 assuming n is positive.
n**(-1123/17)
Simplify f**16*f*f**(-1/24)*f**17/(f*f/((f/f**(-22)*f)/f*f)) assuming f is positive.
f**(1343/24)
Simplify (((b**(2/7)/b)/b**5)/((b/b**7)/(b**(-2)*b)))**(-24) assuming b is positive.
b**(120/7)
Simplify ((j*j/(j/((j/(j*(j*j/j**(-5/2))/j))/j)*j*j)*j)/j)**(-1/40)/(j*j*j*j**(-1)*j)**(-1) assuming j is positive.
j**(251/80)
Simplify ((h/(h/((h/(h/((h**(9/2)/h)/h)))/h)))/(h**(-15)/h))/(((h/(h*h*h/(h*h*(h*h**(-13))/h*h*h)*h)*h)/h)/(h**(-2/3)/h)) assuming h is positive.
h**(167/6)
Simplify ((k**(1/19))**(-1/2))**(-15/8) assuming k is positive.
k**(15/304)
Simplify k**(3/5)/k**6*((k**(-11)*k)/k)/(k/((k/k**(-2)*k*k*k)/k)) assuming k is positive.
k**(-62/5)
Simplify (((g*g**1)/(g**(2/21)/g))/(g**(1/2)*g**0*g))**(-41/4) assuming g is positive.
g**(-2419/168)
Simplify n**(-1/3)/(n*n**(-7))*(n*n**(-18)/n)/((n/(n**(-2/7)*n))/n) assuming n is positive.
n**(-244/21)
Simplify ((s**0)**(-8/9)*((s**0/s)/s)**39)**(1/29) assuming s is positive.
s**(-78/29)
Simplify ((a/(a/((a*a**17/a)/a))*a)/a**21)/((a*a/(a/(a/a**(4/5))))/(a/a**0)) assuming a is positive.
a**(-21/5)
Simplify ((s/(s**(-4/13)*s))/s*s)/(s*s**27/s)*(s/(s/s**(-1/3)*s))**(-31) assuming s is positive.
s**(571/39)
Simplify (x/(x*(x**(3/4)*x)/x))/(x/(x/(x*x**(1/2)*x)))*(x**2)**(2/37) assuming x is positive.
x**(-465/148)
Simplify (w**(-2/11))**(-3/28)*(w*(w*(w*(w/(w/(w**(-2)/w*w)))/w*w*w*w)/w)/w*w)/(w**(-5/2)*w) assuming w is positive.
w**(271/77)
Simplify (j**(2/3)*j*(j**(-8/3)*j)/j)/(j/(((j/j**(-1/7))/j*j)/j)*j*j**(2/9)) assuming j is positive.
j**(-194/63)
Simplify ((z**(4/3)*z/(z**(-1/5)/z*z))/((z**(6/7)/z)/(z**(-4)/z)))**(1/58) assuming z is positive.
z**(-122/3045)
Simplify ((l/(l*l**(3/2)))/l**(-20))/(l**(20/7)*l**10*l) assuming l is positive.
l**(65/14)
Simplify v/v**(4/27)*v/v**(-4/3)*v*v*((v*v**(-2/71))/v)**(5/4) assuming v is positive.
v**(19745/3834)
Simplify a**(-12)/(a/(a/a**15))*(a*a/(a**19/a*a))**(-2/31) assuming a is positive.
a**(-803/31)
Simplify u/u**(-6)*u**(-1/5)*u**(-3/10)*u**(-3/11)*u assuming u is positive.
u**(159/22)
Simplify (v/(v**0*v)*v*((v**(-1)/v)/v*v)/v*(v**(-2/5)*v)/((v/(v/((v/v**(1/4))/v)*v))/v))**(7/9) assuming v is positive.
v**(119/180)
Simplify ((h/(h/(h**(8/9)*h)))/(h/h**(-15)))**(-1/5) assuming h is positive.
h**(127/45)
Simplify ((a/(a/(a/(a/(a*a**2)))*a))**(-19)/(a/a**(1/4)*a)**(-2/41))**50 assuming a is positive.
a**(-77725/41)
Simplify ((s**2*s)**(-1/11)*s**1/s*s**(5/4)/s)**(-10/9) assuming s is positive.
s**(5/198)
Simplify (v*v/(v/(v/(v/(v*v**(7/5))*v)))*v)/v**(-9)*v**(-2/37)*v*v/v**(-3/14)*v assuming v is positive.
v**(40301/2590)
Simplify (r**(-8))**(-16)*r*(r*r**(-4/13))/r*(r*r**(-1)/r*r)/r assuming r is positive.
r**(1660/13)
Simplify (y**2/((y/(y/y**(-24)*y))/y))/(y*y*y**(1/5)*y*y)**(-8/11) assuming y is positive.
y**(1708/55)
Simplify t**24*t**(2/13)/t*(t**6/t)/t**(-20) assuming t is positive.
t**(626/13)
Simplify (q**(-1/5)/q*q**(-2)*q**(-8/7)*q*q/(q*(q*(((q/(q*q**(-1/2)))/q)/q)/q*q)/q*q))**(-16) assuming q is positive.
q**(1592/35)
Simplify (g**(2/27)/g**1)/((g*g**(-1/4))/((g/(g/g**(1/6)))/g*g)) assuming g is positive.
g**(-163/108)
Simplify (w**4/(w/w**6)*(w*w**(-3/5)/w)/(w/(w/(w**(-2/3)/w))))**(-5/4) assuming w is positive.
w**(-151/12)
Simplify (a**(-5))**24*(a**(-10/3)*a)/a*a*a/(a*(((a/(a/(a**18*a)))/a)/a)/a)*a*a*a assuming a is positive.
a**(-406/3)
Simplify (((r**11*r)/r)/(r*(r**(1/37)/r)/r*r))/(r**1/(r*r**(-15))) assuming r is positive.
r**(-149/37)
Simplify (n/(n**4/n)*n*n**(-2/11)*(n**(-1))**(-2))**(-7/10) assuming n is positive.
n**(-63/110)
Simplify (v*v*v**25/v*v)/(((v/(v**(-5)*v))/v)/v)*((v/(v*v/(v*v/(v*v/v**10))))/v)**12 assuming v is positive.
v**120
Simplify (q**(-16)/(q*q**(13/3)))/(q*q/(q/(q*q**(2/23)))*q/q**19) assuming q is positive.
q**(-374/69)
Simplify ((p**(-9)*p)/p**(-12))/(p**(1/3))**10 assuming p is positive.
p**(2/3)
Simplify (x**(-1)/x)**18/(x*x**(-2/7))**(-3) assuming x is positive.
x**(-237/7)
Simplify ((m/(m*m**(1/3)))/m)/((m/(m**(-10)*m))/m)*(m**(2/5))**(3/25) assuming m is positive.
m**(-3857/375)
Simplify (u/u**(9/7)*u*u*u)**1/((u/(u*(u**(1/23)*u)/u))/(u**(3/5)/u)) assuming u is positive.
u**(1898/805)
Simplify (l**3/l)**0/(l**(-5/4)*l)**(4/3) assuming l is positive.
l**(1/3)
Simplify (j**(-20/7)/(j/(j*j/(j/(j/((j/(j*j**10))/j))*j)*j*j)))**(-40) assuming j is positive.
j**(-2840/7)
Simplify j/(j/(j*j**6*j))*j/(j*j**(-2))*(j*j**(-1))/(j/j**10) assuming j is positive.
j**19
Simplify m**(5/14)/(m*m/(m*m/(m/(m/((m**29*m)/m))*m)))*(m/(m/(m*m**(-2/31))))/m*m/(m/(m/(m**(1/28)/m))*m) assuming m is positive.
m**(-24949/868)
Simplify ((r/r**(10/11))/r**(-11))**18 assuming r is positive.
r**(2196/11)
Simplify (d**6*d/(d*d*d**(-1/3)/d))/((d*d**3*d)/(d/(d*d**(-4/5)))) assuming d is positive.
d**(32/15)
Simplify (((u/(u**(2/17)*u))/u*u)**47)**(-7) assuming u is positive.
u**(658/17)
Simplify (((y*y*y*y*y**(-1/9))/((y/y**2)/y*y))**39)**(-6/13) assuming y is positive.
y**(-88)
Simplify (n**8*n*n*n*n**2*n**8/n*n*n**(4/3)/n)**(-9) assuming n is positive.
n**(-192)
Simplify ((v/v**(-17)*v)/v*v*v)/(v**(-11)/v)*v**10/(v**1/v*v) assuming v is positive.
v**41
Simplify (f**(-2/11))**26*f**(-2/49)*f*(f/(f/(f*f*f*f**(-1/11))))/f assuming f is positive.
f**(-1002/539)
Simplify ((p/(p/(p*p**(-13)*p*p)*p))/p)**(8/9)/(((p/((p/(p/p**(-1/10)))/p))/p)/p*p*p*p*p*(p/p**0)/p*p) assuming p is positive.
p**(-473/30)
Simplify (v*v/v**(2/15)*v)**(2/9)*v**(-1/2)/((v/(v**(-3)/v*v))/v) assuming v is positive.
v**(-773/270)
Simplify (a*a*a**(3/5)*a**2)/((a/(a/((a/(a*((a**(-3/8)*a)/a)/a))/a)))/(a**(-14)*a)) assuming a is positive.
a**(-351/40)
Simplify (((x/(x/x**3*x))/x)/x)**(3/35)*x**(-1)*x*x**11 assuming x is positive.
x**11
Simplify ((q**0*q)**(2/83)*q**(2/3)/(q*q**(-2/11)*q))**(6/31) assuming q is positive.
q**(-6176/28303)
Simplify (((a/a**(3/7))**(-1/2))**23)**(2/75) assuming a is positive.
a**(-92/525)
Simplify (p*(p**(1/28)/p)/p)/p*p**(-5)*(p**0)**(-1/3) assuming p is positive.
p**(-195/28)
Simplify m**(-2/9)/m*m**(1/7)*(m/m**(1/29))**41 assuming m is positive.
m**(70352/1827)
Simplify ((n/n**6)/n*n*n*n/(n**(-3/5)/n)*n)/(n**(-16)/n**9) assuming n is positive.
n**(123/5)
Simplify n**12*n*n**(3/4)/n*n*(n/n**11)/(n/(n**(-8)/n)*n) assuming n is positive.
n**(-29/4)
Simplify (d/d**(-1))**(-3)*(d*d/(d/d**8))/d**15 assuming d is positive.
d**(-12)
Simplify y**16/y**(-3/16)*((y*y**(-2)*y*y*y*y*y)/y)**(-5/12) assuming y is positive.
y**(239/16)
Simplify (a**6*a/(((a*a**(-1/41)*a)/a)/a))**(1/44) assuming a is positive.
a**(72/451)
Simplify (n**(6/7)*n*n)/n*(n/(n*n**(5/8)*n*n))/n*n*(n**2)**(-10) assuming n is positive.
n**(-1163/56)
Simplify (k**(-7)/k)**30/(k**(-3/2))**(-9) assuming k is positive.
k**(-507/2)
Simplify (m*m**(-3)*m**5*(m/m**1*m)**(1/16))**(1/2) assuming m is positive.
m**(49/32)
Simplify (d/(d**(-14)*d)*d**0)/(d/d**(-17)*d/((d*d/(d/(d/((d/d**(-2/5))/d))))/d)) assuming d is positive.
d**(-22/5)
Simplify (((s*((s*(s*s**(1/8))/s)/s)/s)/s*(s/s**(2/15)*s)/s)/(s**(-2/9))**(2/81))**(-12) assuming s is positive.
s**(83/2430)
Simplify (v*v/(v*v/v**(-2/5)*v))/v*(v/v**(-1/3))/v*(v*((v**17*v)/v)/
|
{
"pile_set_name": "DM Mathematics"
}
|
ment from {w: 4, q: 2, r: 2}.
2/7
Calculate prob of picking 1 w, 1 x, and 1 r when three letters picked without replacement from rwrxxxrx.
3/14
Three letters picked without replacement from kuouoookvv. What is prob of picking 1 u and 2 o?
1/10
Four letters picked without replacement from {w: 2, q: 1, z: 4}. Give prob of picking 3 z and 1 q.
4/35
What is prob of picking 2 z and 1 n when three letters picked without replacement from {z: 5, q: 1, n: 7}?
35/143
Two letters picked without replacement from {f: 4, a: 3, y: 2, i: 1, e: 1}. Give prob of picking 1 e and 1 i.
1/55
Three letters picked without replacement from dudjdjpdddhjhudjl. Give prob of picking 2 u and 1 p.
1/680
Calculate prob of picking 2 t when two letters picked without replacement from lddltldddl.
0
Calculate prob of picking 3 d when three letters picked without replacement from {d: 15, e: 5}.
91/228
Calculate prob of picking 2 g and 2 h when four letters picked without replacement from ghpywgkygygphkh.
6/455
Two letters picked without replacement from kkkdddddddddkddddd. What is prob of picking 2 k?
2/51
What is prob of picking 2 f, 1 d, and 1 q when four letters picked without replacement from {f: 6, l: 6, d: 3, q: 4}?
15/323
What is prob of picking 2 g when two letters picked without replacement from rqg?
0
Three letters picked without replacement from {v: 2, s: 2, f: 3, q: 5}. Give prob of picking 1 q and 2 s.
1/44
What is prob of picking 3 z when three letters picked without replacement from {s: 1, q: 2, n: 1, z: 4, m: 7}?
4/455
Four letters picked without replacement from {q: 8, v: 3}. Give prob of picking 1 v and 3 q.
28/55
Three letters picked without replacement from {n: 1, b: 9, r: 1, w: 2, a: 7}. What is prob of picking 3 a?
7/228
Two letters picked without replacement from xpfxxxpruuxrprxuxr. Give prob of picking 1 x and 1 r.
28/153
Two letters picked without replacement from rrrsrsyrsssrrrsrrr. Give prob of picking 1 y and 1 s.
2/51
Calculate prob of picking 1 j and 1 u when two letters picked without replacement from uncumjd.
2/21
Two letters picked without replacement from mkktkmtkmxkkxgxttg. What is prob of picking 1 x and 1 t?
4/51
Three letters picked without replacement from xxxwxxww. Give prob of picking 3 x.
5/28
Two letters picked without replacement from kmmmmmmmmmkm. What is prob of picking 2 k?
1/66
Three letters picked without replacement from {j: 3, h: 4, b: 3, x: 3}. Give prob of picking 3 h.
2/143
What is prob of picking 3 h when three letters picked without replacement from bhhbbhbkhssbb?
2/143
Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 6, w: 4, p: 4}.
24/91
What is prob of picking 2 l when two letters picked without replacement from nmmlllm?
1/7
Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {s: 1, c: 3, f: 2, g: 10}.
1/6
Calculate prob of picking 1 j, 1 a, and 2 b when four letters picked without replacement from {a: 4, b: 5, c: 1, y: 5, j: 4}.
40/969
Calculate prob of picking 3 q when three letters picked without replacement from lmlllllqmlllllm.
0
Three letters picked without replacement from {u: 4, o: 6, k: 5, m: 1}. Give prob of picking 2 u and 1 o.
9/140
Four letters picked without replacement from {h: 1, r: 2, f: 2, s: 1}. What is prob of picking 1 s, 1 r, and 2 f?
2/15
What is prob of picking 2 x and 2 w when four letters picked without replacement from xxxxwxwxxxxwwxxxwx?
13/51
Four letters picked without replacement from {l: 4, q: 3, h: 5, m: 4, p: 3, s: 1}. What is prob of picking 1 s and 3 l?
4/4845
Two letters picked without replacement from ddpfxfdxfffif. Give prob of picking 1 p and 1 d.
1/26
Three letters picked without replacement from rlrrrl. Give prob of picking 3 r.
1/5
Calculate prob of picking 3 v and 1 q when four letters picked without replacement from svyvfsqqqsvfsqqssq.
1/510
Three letters picked without replacement from yysysyys. What is prob of picking 1 s and 2 y?
15/28
What is prob of picking 2 y, 1 p, and 1 c when four letters picked without replacement from {p: 7, h: 2, y: 2, e: 6, c: 1}?
7/3060
Two letters picked without replacement from {v: 1, j: 5, x: 1, r: 1, k: 1, m: 4}. What is prob of picking 1 r and 1 m?
2/39
Three letters picked without replacement from {b: 6, p: 2}. What is prob of picking 2 p and 1 b?
3/28
What is prob of picking 2 q when two letters picked without replacement from qqelqlq?
2/7
What is prob of picking 3 y and 1 e when four letters picked without replacement from yyeeeyyeeyyyeyyyeeey?
99/323
Two letters picked without replacement from {k: 1, j: 1, z: 1, l: 1, d: 1}. What is prob of picking 1 j and 1 k?
1/10
Calculate prob of picking 1 f, 1 g, and 1 k when three letters picked without replacement from {g: 1, f: 6, k: 4, d: 6}.
3/85
Three letters picked without replacement from {s: 1, b: 3, a: 16}. Give prob of picking 2 b and 1 s.
1/380
Three letters picked without replacement from zvvv. What is prob of picking 3 v?
1/4
Three letters picked without replacement from {y: 1, n: 3, l: 4, z: 1, x: 4, w: 6}. What is prob of picking 1 z, 1 l, and 1 w?
8/323
Two letters picked without replacement from zzzzzzuszzzzzzx. Give prob of picking 2 z.
22/35
Calculate prob of picking 3 i when three letters picked without replacement from {i: 6}.
1
Two letters picked without replacement from {j: 2, p: 1, v: 1, c: 1, r: 1, n: 1}. Give prob of picking 1 j and 1 r.
2/21
Calculate prob of picking 1 l and 1 v when two letters picked without replacement from lllllvllllllvlllvlll.
51/190
Two letters picked without replacement from {b: 1, u: 4, x: 2, v: 1, d: 1}. Give prob of picking 1 x and 1 b.
1/18
What is prob of picking 1 l and 2 t when three letters picked without replacement from {l: 2, t: 5}?
4/7
What is prob of picking 2 y when two letters picked without replacement from {y: 3, g: 2, c: 3, z: 1, t: 5, m: 1}?
1/35
Four letters picked without replacement from ixrxxgxgx. Give prob of picking 1 g and 3 x.
10/63
What is prob of picking 1 n and 1 h when two letters picked without replacement from {o: 1, u: 2, n: 4, r: 2, h: 2, v: 8}?
8/171
Calculate prob of picking 3 l when three letters picked without replacement from lllll.
1
Four letters picked without replacement from {v: 1, y: 3, u: 1, h: 2}. What is prob of picking 1 u and 3 y?
1/35
Two letters picked without replacement from hvvvvhhvhvhhhhhhvhh. Give prob of picking 2 v.
7/57
Four letters picked without replacement from dvvdvdvddd. Give prob of picking 4 d.
1/14
Calculate prob of picking 2 a and 1 j when three letters picked without replacement from jjjjjjaajjjajjjjjjaa.
5/38
What is prob of picking 3 k when three letters picked without replacement from {k: 9, x: 2}?
28/55
Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {v: 5, m: 1, e: 9, o: 5}.
1/38
Calculate prob of picking 2 s when two letters picked without replacement from oosovoosxoxs.
1/22
Calculate prob of picking 2 u and 1 j when three letters picked without replacement from euvvevvjuvuvee.
3/364
What is prob of picking 1 z and 3 n when four letters picked without replacement from nnnznnnnznnnn?
6/13
What is prob of picking 1 a, 1 b, and 1 q when three letters picked without replacement from aaambqymmb?
1/20
What is prob of picking 2 x when two letters picked without replacement from {u: 4, v: 1, z: 6, x: 7}?
7/51
Two letters picked without replacement from {l: 1, k: 1, h: 1, m: 2, v: 1, r: 1}. Give prob of picking 1 r and 1 m.
2/21
What is prob of picking 1 r and 2 x when three letters picked without replacement from bfxxrxfxqfq?
2/55
Four letters picked without replacement from {a: 2, h: 1, x: 5, r: 1, d: 1}. Give prob of picking 1 a, 1 h, and 2 x.
2/21
What is prob of picking 2 h and 1 v when three letters picked without replacement from hwhggvggv?
1/42
Four letters picked without replacement from fmiidvvfx. What is prob of picking 2 f, 1 m, and 1 x?
1/126
Four letters picked without replacement from {c: 8, l: 3, f: 5}. Give prob of picking 3 c and 1 l.
6/65
Four letters picked without replacement from ddrrrdlldrrd. Give prob of picking 1 l and 3 r.
4/99
What is prob of picking 1 t, 1 u, and 1 d when three letters picked without replacement from {u: 1, d: 1, f: 1, g
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest one hundred thousand?
20200000
Let g = -6.64 + 8.06. Let t = g - 1.420989. What is t rounded to 4 decimal places?
-0.001
Let p = -224.38 + 4.38. Let n = -219.999215 - p. Round n to four dps.
0.0008
Let y = -217.106 + 10.006. Round y to the nearest ten.
-210
Let f = 13.243 + -13.24309029. What is f rounded to six dps?
-0.00009
Let u = 3728 - 4839. Let w(g) = -791*g**3 - g**2 - 2*g - 1. Let q be w(-1). Let x = q + u. What is x rounded to the nearest 100?
-300
Let x = -32 - -38.2. Let u = 12.4 - x. Let q = u + -6.1999978. What is q rounded to 7 decimal places?
0.0000022
Let c = 15 + -16. Let j be (27/(-6))/(c/112). Suppose -2*d = -j - 728. Round d to the nearest 100.
600
Let v = -478.45158 - -478.3. Round v to 3 dps.
-0.152
Let b = -4.895 - -8.998. Round b to the nearest integer.
4
Let d(u) = -3250*u**2 - 17*u - 39. Suppose 0*w + 3*x = 2*w + 37, -4*x - 30 = 2*w. Let j be d(w). Round j to the nearest one hundred thousand.
-900000
Let m = -26658 - -26573.674. Round m to the nearest integer.
-84
Let r = 78.2 - -8.8. Let p = -64 + r. Let c = p - 23.0000033. Round c to 6 dps.
-0.000003
Let i(m) = -638*m + 194. Let p be (89/4)/1 - 30/(-40). Let f be i(p). Round f to the nearest one thousand.
-14000
Let h be (-2)/(-2*5/(-410)). Let l be -12*(5 + -2 - (-7 + 1)). Let s be h/(l/116 - -1). Round s to the nearest one hundred.
-1200
Let r(f) = -6978911*f**2 + 71*f - 14. Let m be r(3). Round m to the nearest one million.
-63000000
Let j = 599 + -599.1156. Let s = j - -0.056. Round s to three decimal places.
-0.06
Suppose -2*c + 229 = -427. Suppose 333*d - c*d + 41800000 = 0. What is d rounded to the nearest 1000000?
-8000000
Let w = -56092.999969051 + 56093. Round w to seven decimal places.
0.0000309
Let c = 10948.01 + -11034. What is c rounded to the nearest integer?
-86
Let x = -537.9835 + 538. Let h = -0.016498904 + x. Round h to 7 dps.
0.0000011
Let u = -256458 - -91238. Round u to the nearest one thousand.
-165000
Let b = -818 - -817.657. Let y = b - -0.343000469. What is y rounded to seven dps?
0.0000005
Let r(a) = -2*a**2 - 15*a - 22. Let t be r(-2). Suppose t = -9*b - 4273 - 2243. What is b rounded to the nearest ten?
-720
Let h = 2863.58 - 2929. Let j = -6.6128 - 0.0072. Let s = j - h. Round s to the nearest 10.
60
Let o(h) = 75*h**2 + 39*h - 95. Let l be o(45). Suppose l = m - 80465. What is m rounded to the nearest 10000?
230000
Let o(g) = g**3 + 3*g**2 + 5*g - 18. Let c be o(2). Let n = 6 + -8. Let q be n/(-8) + (-3)/c. Round q to the nearest ten.
0
Let g be 31 - 47 - (-7 - 2). Let p(m) = 1411456*m + 192. Let i be p(g). Round i to the nearest one million.
-10000000
Let w be (1 - 2) + 1*7926/(-1). Let i be (w + 2)*(17 - 13). What is i rounded to the nearest one thousand?
-32000
Let o = -76905.036171 + 76905. What is o rounded to 4 decimal places?
-0.0362
Let j = -50719305 + 50719309.37000005. Let t = j + -4.37. What is t rounded to 7 dps?
0.0000001
Let k(c) be the second derivative of -203*c**5/2 - 2*c**3 - 11*c**2 + 3*c + 1. Let r be k(9). What is r rounded to the nearest 1000000?
-1000000
Let r(f) = -24*f + 10. Let a be r(0). Let g be (-15)/((-1275)/a) + 428402/(-17). What is g rounded to the nearest one thousand?
-25000
Let f = 6.683 + -0.203. Let g = 75 + -74.88. Let j = f + g. What is j rounded to the nearest integer?
7
Let m = -20197 + 20197.0129968. Let t = -0.013 + m. Round t to 6 dps.
-0.000003
Let n = 335542973 - 335543077.0000236. Let l = -415 + 519. Let m = l + n. What is m rounded to 5 dps?
-0.00002
Let d = 863 - 783.98. Let u = d + -79. Let t = u + -0.02011. Round t to 4 decimal places.
-0.0001
Suppose 54*t + 454476879 = -605*t + 9351504079. What is t rounded to the nearest one hundred thousand?
13500000
Let k = -25490 - -25474.632. What is k rounded to the nearest integer?
-15
Let i = -19239.7115 + 19243. Round i to 2 decimal places.
3.29
Let i(a) = -814*a**3 - 7*a - 10. Let l be i(-3). Let q = 14589 - l. What is q rounded to the nearest one thousand?
-7000
Let p = 3463616 + -3464044.9678. Let k = -429 - p. What is k rounded to 2 dps?
-0.03
Let h = -0.096 + 7.996. Let b = -92.1 - h. Let t = b - -99.961. What is t rounded to 1 dp?
0
Let n = 28.869122 + -28.83. What is n rounded to three dps?
0.039
Let x = 226.32 + -227.4299. Round x to one dp.
-1.1
Let k = 26300.95701 + -26301. Round k to three dps.
-0.043
Suppose -4*h = -h - 6. Let p(b) = -b - 3 + b**2 + 13*b**3 + 3*b + h*b**2 + b**2. Let o be p(3). What is o rounded to the nearest one hundred?
400
Suppose 361*f = 367*f - 30. Let o(b) = -1407*b**2 + 7*b + 60. Let d be o(f). What is d rounded to the nearest one thousand?
-35000
Let a = 10.4802 - -31.6668. Let r = 41.6 - a. What is r rounded to 2 decimal places?
-0.55
Let m = 11852693 - 8180693. Round m to the nearest 1000000.
4000000
Let b = 0.36515 - -1518.33485. What is b rounded to the nearest ten?
1520
Let d = 15306.1 - 17001. What is d rounded to the nearest one thousand?
-2000
Let d = -1271.0783 + 1271. Let s = -0.005 - d. Round s to three dps.
0.073
Let p = -915 + 915.005199. What is p rounded to four dps?
0.0052
Let v = 46.309 + 4.931. Round v to the nearest integer.
51
Let m = -938.6767 - -0.0767. Round m to the nearest ten.
-940
Let j = -136409994.4 - -14887103.4. Let k = 121522908.99999504 + j. Let n = k + -18. What is n rounded to seven dps?
-0.000005
Suppose 8*x + 0*x - 109496 = 0. Let m = 28457 - x. What is m rounded to the nearest 1000?
15000
Suppose 189531000 = -33*m + 24*m. What is m rounded to the nearest one hundred thousand?
-21100000
Let f = 76319 + -76319.203035. Round f to two decimal places.
-0.2
Let r = -47424447.62400103 + 47424448. Let u = r - 0.376. Round u to seven dps.
-0.000001
Let p(z) = -960*z**2 + 20*z + 72. Let b be p(19). Let j = 213008 + b. What is j rounded to the nearest 10000?
-130000
Let d = 3729250 - -4418250. Round d to the nearest ten thousand.
8150000
Suppose 7*v = 3*v + 15400. Let d be (432/(-630)*(-35)/14)/(4/14). Suppose -8*l + v = d*l. Round l to the nearest 10.
280
Let l = -8 + 7.3. Let b = 51.3 - l. Let g = b + -52.000004. What is g rounded to five dps?
0
Let h = 19490.2 + -19490.1893333. What is h rounded to three decimal places?
0.011
Let s(u) = 2*u**2 - 36*u + 4. Let k be s(18). Suppose -k*p + 2*h = -3466, p - 2*p + 3*h + 859 = 0. Round p to the nearest one hundred.
900
Let m = -17087.000014342 + 17087. Round m to 7 dps.
-0.0000143
Suppose -a + 8 = n, 2*n + 3*a + a = 20. Suppose 143130 = n*i + 2718. Let d be (i + -1 + -1)*-10. What is d rounded to the nearest 10000?
-230000
Let z be (-832433966)/546 - (-13)/3. Round z to the nearest ten thousand.
-1520000
Let q = 96 - -110. Let x = q - 206.000406. Round x to 4 decimal places.
-0.0004
Let y = 42.0709 + -42. Let f = 0.0159 - y. What is f rounded to 3 decimal places?
-0.055
Let n = 80298304 + -80298321.99999264. Let g = -0.31 + 18.31. Let x = n + g. What is x rounded to 6 decimal places?
0.000007
Let q = 9185.34 - 9185. Let k = -49.5056 - -49.8455728. Let p = q - k. Round p to 6 decimal places.
0.000027
Let a = 459.724 + -0.724. Let f = a + -458.9346. Let c = -0.065 + f. Round c to 4 dps.
0.0004
Let u = -17984 - -17983.9999920084. What is u rounded to 7 decimal places?
-0.000008
Let d = -11.4805 - -7.1692. What is d rounded to two dps?
-4.31
Suppose 4*t = t + 921. Suppose -5*v + 120693 = -t. What is v rounded to the nearest ten thousand?
20000
Let g(z) = 2 - 22486*z + 891*z + 3. Suppose -15*m = 7 + 8. Let q be g(m). What is q rounded to the nearest ten thousand?
20000
Let q = -862.65 - -709. Let j = -0.65 - q. Let u = 152.999999304 - j. Round u to 7 decimal places.
-0.0000007
Suppose -d - 2 + 11 = 0. Suppose 21 = 2*v - d. Suppose 19*z = v*z + 82000. What is z rounded to the nearest one thousand?
21000
Let t = 2.13 - 68.13. Let d = t + 65.999942. What is d rounded to 6 decimal places?
-0.000058
Let f = -5760.6814 + 5760. Let m = 0.016 - -0.644. Let g = f + m. Round g to three decimal places.
-0.021
Let b = 1536663854.6001223 - 1536663732. Let j = 122.6 - b. Round j to five decimal places.
-0.00012
Let a = 739.773781 - 739.69. What is a rounded to 2 dps?
0.08
Let r be 312/(-117) + (-294232)/3. Round r to the nearest ten thousand.
-100000
Let h = -2.63529893285 + 2.6353. What is h rounded to 7 decimal places?
0.0000011
Let k
|
{
"pile_set_name": "DM Mathematics"
}
|
0, 2*x = n + 20. Suppose -5*a = 5*l - 5, -5*l + 5 = 4*a - 2*l. Suppose a*f - s - 3 = 3*f, -s = -f + 3. Solve -2*c - c - x = f for c.
-3
Suppose 0*s + 2 = s. Solve s*d - 4 = -0*d for d.
2
Let z = 6 - 3. Let c be -2 - 2*(z + -2). Let t(k) = 2*k**2 + 6*k + 3. Let g be t(c). Solve 4 = -5*q - g for q.
-3
Let r(f) = -8*f + 32. Let z be r(4). Let t(j) = -j**2 - 4*j + 6. Let n be t(-6). Let l = 11 + n. Solve 10 = -l*q - z*q for q.
-2
Let u(d) = -d - 4. Let q(n) = -1. Let c(s) = 5*q(s) - u(s). Let g be c(4). Suppose h = -g*p + 13, 4*p = p + 2*h + 19. Solve 2*a = a + p for a.
5
Let w(g) = -2*g**2 - 8*g. Let q be w(-4). Solve 3*k + 0*k + 15 = q for k.
-5
Let l(a) = a - 8. Let t be l(11). Solve -5*y - 4 = -t*y for y.
-2
Let l(p) = 2*p**2 - 8*p + 3. Let b be l(6). Let k(a) = -a**2 - 5*a + 6. Let x be k(-6). Solve -4*i - 7 + b = x for i.
5
Let a = 10 + -8. Let y(v) = -v**3 + 3*v**2 - v. Let h be y(a). Suppose -7 = -h*d + 5. Solve -f + d = f for f.
3
Let h(u) be the third derivative of u**2 + 0 + 0*u + 1/24*u**4 - 1/3*u**3. Let q be h(5). Solve 3 + q = 2*p for p.
3
Let m(l) = -l + 10. Let n be m(7). Solve -n*q + 1 + 11 = 0 for q.
4
Suppose m - 9 = -7. Solve 3*d + 1 = -m for d.
-1
Suppose 0 = 4*o - 2*o + 38. Let k = -19 - o. Solve k*s = 2*s + 8 for s.
-4
Let n(r) = 2*r + 2. Let f be n(6). Suppose -5*g = 16 + f. Let p be (-20)/g + 5/(-15). Solve s + p = -2 for s.
-5
Let m(x) = x**3 + 6*x**2 + 4*x - 1. Let b be m(-5). Solve -17 + 5 = -b*c for c.
3
Let d = 2 + -1. Let z be d/((5/6)/(-5)). Let k be z/(-3) + 1 + 0. Solve -p = k - 1 for p.
-2
Let r(u) = -u**2 - 9*u - 5. Let w be r(-8). Suppose -w = -t - 0*t. Solve t*h - 1 = -16 for h.
-5
Let l be (-5)/(-3) - (-4)/(-6). Suppose r - 5*v + l = 5, 4*r = -v + 16. Suppose r*z - 3 = -3*i + 28, -5*i + 45 = 5*z. Solve k + 12 = z*k for k.
4
Suppose 2*n - 15 = n. Suppose -n = -9*w + 4*w. Solve 0 = -b - w for b.
-3
Let j = -7 - -9. Solve j*w - 4 = -2*w for w.
1
Suppose -6*v = -31 + 1. Solve v*w + 4 = -6 for w.
-2
Suppose 5*i + 3*b - 11 - 11 = 0, -3*i = -4*b - 19. Solve 17 = -i*k + 7 for k.
-2
Suppose -p = 2*p. Solve u + p*u = -5 for u.
-5
Suppose -5*q + 3*r = -119, -3*q + 42 = 5*r - 43. Suppose 2*g - g + 5*k = q, 0 = 5*g - 3*k + 15. Suppose g = 3*b - 0*b - 9. Solve 0 = -5*t + b + 12 for t.
3
Let l(v) = -10*v - 70. Let f be l(-7). Solve -5*m = -f*m - 15 for m.
3
Let s(t) = t + 11. Let h be s(-9). Solve h + 13 = -5*b for b.
-3
Let a(d) = -d**3 + 11*d**2 + 2. Let m be a(11). Solve -m*j - 8 = 2*j for j.
-2
Let b be (-8)/(2/(-4)*4). Solve -g - b = -3*g for g.
2
Let n(h) = 4*h - 2*h**2 + 5 + 3*h**3 - 2*h**3 + 2*h**2 - 6*h**2. Let q be n(5). Solve -i + 0*i + 5 = q for i.
5
Let g = -2 - -10. Solve f + g = -f for f.
-4
Suppose 2*b + 3 = 3*b. Let h = -9 - -6. Let d = h + 3. Solve d = b*o - 10 - 2 for o.
4
Let c(n) = -n**2 + 11*n + 12. Let w be c(11). Let h be (-16)/(0 + 4) + w. Solve 0 = 4*j - 6*j + h for j.
4
Let c(l) = -l - 3. Let b be c(-3). Solve b*s = 4*s - 12 for s.
3
Let p = 6 + -3. Let q(t) = -p + 9*t - 1 - t**2 + 5. Let w be q(8). Solve 0 = 3*m - 6*m - w for m.
-3
Let s(g) = g**2 + g - 7. Let v be s(-5). Solve -v = -4*j - 1 for j.
3
Suppose 5*u = -4*u + 45. Solve c = u - 6 for c.
-1
Suppose 0 = -5*t + 2*t. Let r = 7 - 4. Let z(m) = m**2 - m - 4. Let c be z(r). Solve -2*w + c = -t*w for w.
1
Suppose 0*o = 2*o. Suppose a = 3*k - 10 - 5, -2*k + 5*a + 23 = o. Solve -k = -f - f for f.
2
Suppose -4 - 2 = -3*c. Suppose -2*k + 2*m + 12 = 0, -m + 14 = 4*k - 0*k. Suppose -18 = k*q - 7*q. Solve -q = c*p + p for p.
-2
Suppose 9 = -n + 3. Let q(p) = -39*p + 3. Let h be q(2). Let z be h/n*(-4)/(-5). Solve l - 3*l = -z for l.
5
Let s(f) = 5*f**3 - 17*f**2 - 3*f + 5. Let h(c) = 2*c**3 - 6*c**2 - c + 2. Let n(o) = -8*h(o) + 3*s(o). Let r be n(-3). Solve -r*w + 3*w = -3 for w.
-3
Let y = -17 - -22. Suppose -7 = -2*a - 2*u + 3*u, 4*a + u = y. Solve -a*z = -z - 3 for z.
3
Let q(p) = p**3 - p**2 + p + 8. Let i be q(0). Solve 2*j - 4*j = -i for j.
4
Suppose -c + o - 2 = -9, 0 = 3*c + 3*o + 9. Solve c*a + 8 = -2 for a.
-5
Suppose -10*a = -6*a - 8. Solve 15 = -a*j + 5 for j.
-5
Let z be ((0 - 6) + 5)*-2. Solve 0 = -0*y + z*y for y.
0
Let g = -115 - -118. Solve c - 2*c = -g for c.
3
Let c(d) = -d**2 - 8*d + 3. Let a be c(-4). Suppose 0*x = -4*l + 5*x + a, -l - 14 = -5*x. Solve 1 = 5*y + l for y.
-2
Let p = 2 - 8. Let v be -3 + p/9*-9. Solve -z + v*z = 10 for z.
5
Suppose 4*w = -5*d + 56, -d + 2*w + 15 = -w. Let r = -8 - -11. Solve -d = -6*z + r*z for z.
4
Suppose -2*i + 6 = -5*i. Let m = 6 + i. Solve -m*j = -0*j + 4 for j.
-1
Suppose -c - 1 + 12 = 2*l, -3 = 3*c. Suppose l*o - 10 = o. Solve -2*k - 2 = o for k.
-2
Let z(v) = 2*v**2 - 4*v - 5 + 0 + v**2 - v**2. Let r be z(5). Solve 4*y = -y - r for y.
-5
Let g be (0/(-4))/((-2)/(-1)). Solve 0 = -5*d - g - 25 for d.
-5
Suppose -w + 11 = 3*a, -6*w + 49 = -3*w + 5*a. Let f = -18 + w. Solve 3*z = f*z for z.
0
Let u be 5 - (1 + 4 - 3). Solve 1 = -u*l - 2 for l.
-1
Let c(v) = v - 5. Let i be c(6). Let m be 16/7 + (-4)/14. Let f be i - -4 - 4/m. Solve -f*w - 4 = w for w.
-1
Let l = 3 + -1. Let v be (-4 + 4/l)*-2. Suppose -v*c = -5*m + 22, 5*m + c = 4*c + 19. Solve -9 = m*p + p for p.
-3
Suppose -5*o + 13 = -0*q + 4*q, -4*o = 2*q - 14. Let d(v) = v**3 - 5*v**2 + 4*v + 7. Let y be d(o). Let b be (-2)/9 - (-330)/y. Solve 3*m = -0 - b for m.
-4
Let t(u) = 22*u**3 - 7*u**2 + 7*u. Let o(z) = 15*z**3 - 5*z**2 + 5*z. Let h(v) = 7*o(v) - 5*t(v). Let k be h(-1). Solve 20 = 5*j - k for j.
5
Let x be 0/((-3)/3) - -6. Let d be (-7)/(-4) - (-3)/12. Let w = x - d. Solve v = -1 + w for v.
3
Let m(q) = -q**3 - 2*q**2 + q + 3. Let o be m(-1). Let a be (-4)/6*(-1 + -2). Suppose u - o = a. Solve -17 = -4*w + u for w.
5
Suppose 3*k - 9 = -0. Let x be 1*12/2 + -2. Solve -k*i + x = 16 for i.
-4
Let p(b) = b + 4. Let y be p(-3). Let k be (8/(-6) - -1)*-12. Solve -y = -3*z + k*z for z.
-1
Suppose 4*g - 48 = g. Suppose -g = -u - 3*u. Let k = -3 - -3. Solve u*d = -k*d for d.
0
Let g(q) be the second derivative of q**5/20 + 7*q**4/12 + q**3/6 + 7*q**2/2 + 2*q. Let c be g(-7). Solve -2*s - 3 - 3 = c for s.
-3
Suppose -3 = -2*l + 1. Suppose -1 = l*y + 3, t + 2*y = 0. Suppose b - 4*u = -15, 4 = 5*b + 3*u - 13. Solve -t = 5*x + b for x.
-1
Let k be 2/(-6) - 24/9. Let c be (2/k)/(1/3). Let a = 0 - c. Solve -a*p + 3 = 7 for p.
-2
Suppose 4*u = -0*p - 2*p + 20, -3*p = -2*u + 10. Suppose 3*r + 81 = 6*r. Suppose 5*n = -2*c + r, 3*c - 12 + 0 = 2*n. Solve -c*f + f + 5 = p for f.
1
Suppose -10*o + 5*o + 55 = 0. Solve 0 = 3*v - 4 - o for v.
5
Let u be (-1 - 1)*1/(-2). Let m be 2/1*(-54)/(-12). Let z = m + -7. Solve z*k + u = k for k.
-1
Let v(j) = -j**2 - 10*j - 19. Let l be v(-7). Solve 0*w = l*w + 6 for w.
-3
Let w(g) = -9*g**2 + g**3 - 9 + 11 + 22*g**2. Let c be w(-13). Let z(i) = i**2 - 11*i + 13. Let o be z(10). Solve c*y = o*y for y.
0
Suppose -g = -3*f - 5, -3*g = 3*f - 0*f - 15. Solve -g*u = -0*u + 10 for u.
-2
Let r(w) = w - 4. Let n be r(4). Suppose -6*c - 4 = -2*c. Let o be -2*(-1)/c - -4. Solve -m + o + 1 = n for m.
3
Let o = 11 - 9. Suppose -5*u + 26 + 34 = 0. Let c be (2/6)/(2/u). Solve c*j = 6 + o for j.
4
Let i(o) = 2*o - 5. Let k be i(4). Let f(c) be the second derivative of c**5/20 + c**4/3 - 7*c**3/6 - 7*c**2/2 + c. Let g be f(-5). Solve g*s + k = -0 for s.
-1
Let d(j) = -j**2 + 6*j - 3. Let o be d(4). Solve -o*z = 4 + 16 for z.
-4
Suppose -2*u + 2*y + 3 = 1, -35 = -5*u - 5*y. Suppose 6*p - 3*p = s - 2, 0 = u*s - 3*p - 8. Let i be 35/15 + s/(-6). Solve f + 3 = i*f for f.
3
Suppose 5*v - 5*s = 0, -s - 4*s + 10 = -3*v. Suppose -v*o = 2*q - 24, 4*o - 3 - 12 = -3*q. Let p be 2 - 1 - (0 - o). Solve 8 + p = 3*i for i.
5
Let j be 8/24 + (-4)/(-6). Let h be ((-3 - -3) + 2)*j. Solve 0 = -h*u - 0*u - 8 for u.
-4
Suppose -2*b = 2*s + 3*b - 98, -5*s + b = -218. Suppose -2*q + s = -0*q. Solve -5*k - 7 = -q for k.
3
Let h be 0/((-2)/(10/(-5))). Solve 7*k - 2*k = h for k.
0
Suppose 3 = -d + 4. Let w be 5 + -2 + (d - 1). Suppose 0 = o - w + 2. Solve 2 = -t - o for t.
-3
Let p(w) = -w**2 + 14*w + 12. Let g be p(14). Let q be 1/2 + g/8. Solve -17 = -5*o - q for o.
3
Let c(j) = j**2 + 6*j + 2. Let f be c(-6). Let t be (6/(-5))/(6/(-15)). Suppose t = v, -4*b + b - f*v = -12. Solve 9 - 3 = -b*m for m.
-3
Let r = -4 - -5. Let o(i) = i + 4. Let h be o
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon divisor of 194348064 and 1948.
1948
What is the greatest common factor of 147 and 24757985?
49
What is the highest common factor of 14 and 12914825?
7
Calculate the greatest common divisor of 123399618 and 2364.
1182
Calculate the highest common divisor of 20102017 and 319.
29
Calculate the greatest common divisor of 972195 and 517.
47
Calculate the greatest common factor of 26243424 and 504.
72
Calculate the highest common factor of 7048943 and 9367.
551
Calculate the highest common divisor of 316071 and 303282.
1827
Calculate the highest common factor of 2860670 and 43380.
2410
What is the greatest common divisor of 1688 and 280?
8
Calculate the greatest common factor of 22 and 36163886.
22
What is the highest common divisor of 9836340 and 3195?
1065
Calculate the highest common divisor of 279 and 27834993.
279
What is the highest common factor of 3826666 and 83317?
493
What is the greatest common factor of 69488 and 5689936?
1616
Calculate the highest common divisor of 58912 and 217.
7
What is the highest common factor of 231 and 4639845?
21
What is the highest common factor of 401509827 and 11268?
2817
What is the greatest common divisor of 3918223 and 698?
349
Calculate the highest common divisor of 2602048829 and 31.
31
Calculate the highest common divisor of 6947200 and 128.
128
What is the highest common divisor of 10888 and 1810130?
2722
Calculate the highest common divisor of 20 and 773895.
5
What is the greatest common factor of 218538 and 2028?
6
What is the highest common factor of 211749538 and 1430?
286
Calculate the greatest common divisor of 16764 and 17029176.
1524
Calculate the greatest common factor of 136827 and 42368778.
5949
What is the greatest common divisor of 29562 and 165126?
78
What is the highest common factor of 17 and 101578315?
17
What is the greatest common divisor of 25012385 and 115?
115
Calculate the highest common divisor of 5422868 and 4884.
1628
What is the greatest common factor of 1060 and 776360?
20
Calculate the greatest common divisor of 166910 and 180710.
10
Calculate the greatest common divisor of 6232 and 140056.
328
What is the greatest common divisor of 220 and 51684215?
55
Calculate the greatest common factor of 1433102 and 6.
2
Calculate the greatest common divisor of 2570859 and 6936.
51
What is the highest common divisor of 847152 and 93906?
1998
Calculate the greatest common divisor of 5945 and 242105.
205
What is the highest common divisor of 3706 and 705884?
218
What is the greatest common factor of 8020967 and 371?
53
Calculate the highest common divisor of 16186775 and 8800.
275
What is the highest common factor of 35190 and 193936?
782
What is the greatest common divisor of 3323909 and 14089?
73
Calculate the greatest common divisor of 302511 and 7953.
33
Calculate the greatest common divisor of 30075545 and 14795.
1345
Calculate the greatest common divisor of 9552249 and 22032.
1377
Calculate the highest common factor of 13217904 and 74025.
2961
What is the greatest common divisor of 76952 and 168457547?
9619
What is the greatest common factor of 2686 and 156440698?
2686
Calculate the highest common factor of 133075816 and 15440.
1544
Calculate the highest common divisor of 88545 and 209685.
15
Calculate the greatest common factor of 113492512 and 224.
224
Calculate the highest common divisor of 10161 and 1714951.
1129
What is the highest common factor of 49950 and 182928?
222
What is the greatest common factor of 7714 and 99835806?
406
What is the greatest common divisor of 109098970 and 130?
10
Calculate the greatest common factor of 19188697 and 5962.
2981
Calculate the highest common divisor of 143613 and 357939.
729
Calculate the highest common divisor of 2045711 and 18224.
67
Calculate the highest common divisor of 399 and 2376349.
19
What is the highest common divisor of 169942986 and 54?
18
What is the greatest common divisor of 27285 and 59415?
255
Calculate the greatest common factor of 956803 and 291991.
59
Calculate the greatest common factor of 355 and 55100.
5
Calculate the highest common divisor of 5172 and 137160.
12
What is the highest common divisor of 548 and 29378280?
548
Calculate the greatest common divisor of 93459707 and 268.
67
Calculate the highest common factor of 8500 and 6378500.
500
What is the highest common divisor of 46345497 and 7733?
407
What is the greatest common factor of 293972 and 83636?
28
What is the highest common divisor of 32451995 and 169250?
3385
What is the greatest common factor of 165067163 and 55610?
5561
Calculate the greatest common divisor of 22481088 and 315.
21
What is the highest common divisor of 66 and 4050294?
6
What is the greatest common factor of 172218 and 2826?
6
What is the highest common factor of 122727474 and 522?
18
What is the greatest common divisor of 348586 and 854?
14
Calculate the greatest common divisor of 21552 and 43777500.
5388
Calculate the highest common divisor of 46 and 85365834.
46
Calculate the greatest common divisor of 136 and 35791834.
34
Calculate the greatest common divisor of 26035845 and 99.
33
Calculate the highest common divisor of 1152553 and 92.
23
What is the greatest common divisor of 372224 and 25956808?
5816
Calculate the highest common divisor of 2614024 and 154.
14
Calculate the highest common divisor of 8320 and 38914304.
1664
What is the greatest common divisor of 310 and 10197760?
310
What is the highest common factor of 8237464 and 18672?
3112
Calculate the highest common factor of 3383272 and 8228.
68
What is the highest common divisor of 14083836 and 468?
156
What is the highest common factor of 209 and 87347271?
11
Calculate the greatest common factor of 31765 and 845.
5
Calculate the highest common divisor of 17489110 and 130.
10
What is the greatest common factor of 238071550 and 50?
50
Calculate the highest common factor of 5101734 and 2414.
34
What is the greatest common factor of 1152 and 15053328?
144
What is the highest common divisor of 546930 and 27435?
885
What is the greatest common factor of 300 and 59569000?
100
Calculate the greatest common factor of 4040283 and 34941.
1839
Calculate the highest common factor of 108284691 and 1401.
1401
Calculate the highest common divisor of 2668 and 1150430.
58
What is the greatest common divisor of 4439792 and 720?
16
What is the highest common divisor of 4868351 and 2056?
257
Calculate the highest common factor of 55443154 and 4.
2
Calculate the highest common factor of 51 and 29257.
17
What is the greatest common factor of 3134495 and 1365?
455
Calculate the greatest common divisor of 5256437 and 4837.
691
Calculate the greatest common factor of 62169338 and 707.
707
Calculate the highest common factor of 52590816 and 9504.
864
Calculate the greatest common divisor of 34810234 and 4.
2
What is the highest common divisor of 97841380 and 280?
140
Calculate the highest common divisor of 67072580 and 120.
20
What is the highest common factor of 8676352 and 592?
592
What is the greatest common divisor of 41775356 and 28?
28
What is the highest common factor of 3503 and 70804?
31
What is the greatest common factor of 2031506 and 4?
2
Calculate the greatest common divisor of 4114727 and 4566.
761
Calculate the greatest common divisor of 3258435 and 15.
15
What is the highest common factor of 348 and 2669740?
116
What is the highest common divisor of 76 and 127779484?
76
Calculate the highest common divisor of 4661877 and 330.
33
What is the highest common divisor of 54 and 59183379?
27
What is the highest common factor of 97152655 and 905?
905
Calculate the highest common divisor of 42350 and 1493100.
350
Calculate the greatest common divisor of 1105 and 1063961405.
1105
What is the highest common factor of 1629445 and 1670?
5
Calculate the highest common divisor of 76117455 and 180.
45
What is the greatest common divisor of 6633 and 719103?
33
What is the highest common factor of 872 and 283481096?
872
Calculate the highest common factor of 247 and 6028529.
247
What is the highest common divisor of 48 and 96052192?
16
What is the highest common factor of 755771971 and 57522?
9587
What is the greatest common factor of 7565 and 1264694005?
7565
What is the greatest common divisor of 20264 and 217815203?
2533
What is the g
|
{
"pile_set_name": "DM Mathematics"
}
|
Let z(b) = 4*b - 10. Let l(j) = 10*j - 21. Let q(c) = 3*c - 6. Let t(x) = 2*l(x) - 7*q(x). Give t(z(p)).
-4*p + 10
Let a(p) = -p - 4*p - 4*p. Let n = 7 - 5. Let k(s) = s**2 - 2*s. Let m(b) = -b. Let d(f) = n*m(f) - k(f). What is a(d(i))?
9*i**2
Let s(g) = -179*g**2. Let v(w) = -3*w + 121. Determine v(s(t)).
537*t**2 + 121
Let p(t) = 1812*t**2 + 3*t. Let d(f) = 110*f. Give p(d(j)).
21925200*j**2 + 330*j
Let y(f) = -7*f**2. Let m(p) be the third derivative of p**5/10 - p**2 + 57*p. Determine y(m(t)).
-252*t**4
Let g(x) = 37*x**2 - 2*x - 275. Let b(s) = -5*s. Determine g(b(k)).
925*k**2 + 10*k - 275
Let l(j) be the first derivative of 2*j**3/3 - 1. Let x(v) be the second derivative of 11*v**4/12 + 3*v + 28. Give l(x(d)).
242*d**4
Suppose -5*n = g - n - 14, 0 = -3*g - n + 9. Let y(p) = 5*p - g*p - 3*p + 4*p. Let r(o) = 6*o. Calculate y(r(d)).
24*d
Let n(r) = 5*r - 654. Let l(o) = -7*o**2 + 9*o. Calculate l(n(s)).
-175*s**2 + 45825*s - 2999898
Let f(w) = -30*w + 5*w + 8*w + 9*w. Let m(a) = 12*a**2. What is f(m(s))?
-96*s**2
Let q(h) = -3*h**2 + 1078*h. Let c(z) = -59*z. What is q(c(m))?
-10443*m**2 - 63602*m
Let c(t) be the second derivative of -91*t**3 - 894*t. Let z(s) = 3*s. What is z(c(x))?
-1638*x
Let g(x) be the first derivative of x**2/2 - 58*x + 159. Let n(r) = -5*r. Give g(n(i)).
-5*i - 58
Suppose 0 = s - 4. Let q(u) = -2*u + 4*u - s*u. Let a(m) = -21*m**2 - 15*m + 15. Let f(n) = -5*n**2 - 4*n + 4. Let o(t) = 4*a(t) - 15*f(t). Give o(q(j)).
-36*j**2
Let u(h) = -h. Suppose -34 = -q - 22. Let i(w) = q*w**2 + 9*w**2 - 5*w**2. Give i(u(p)).
16*p**2
Let j(g) = 316*g. Let c(z) = -z + 5*z + z + 4*z - 8*z. What is j(c(q))?
316*q
Let t(q) = 30*q + 1. Let l(s) be the third derivative of -s**4/24 + 7*s**2 + 2. What is t(l(j))?
-30*j + 1
Let w(f) = -34*f. Let k(d) be the third derivative of -d**5/20 - 149*d**2. What is w(k(i))?
102*i**2
Let m(s) = -105*s + 378. Let n(k) = k - 3. Let d(r) = m(r) + 126*n(r). Let g(w) = -8*w. What is g(d(t))?
-168*t
Let s(i) = -1402*i. Let n(b) = -2*b - 264. What is s(n(z))?
2804*z + 370128
Let x(z) = 5*z. Suppose -105 = -7*s - 0*s. Let k(v) = -s*v + 2 - 2 + 13*v. Determine x(k(j)).
-10*j
Let u(o) = 3*o + 1149. Let l(z) = -z**2 + 206. Determine l(u(x)).
-9*x**2 - 6894*x - 1319995
Let a(j) be the third derivative of -97*j**4/12 + j**2 - 31. Let b(g) = -g. Give b(a(l)).
194*l
Let l(q) = q**2. Let d(v) be the third derivative of -v**5/12 - 2*v**3 + 3*v**2. Let h(m) be the first derivative of d(m). Calculate l(h(u)).
100*u**2
Let z(l) = -4*l**2 + 5*l**2 + 5*l**2 - 198*l + l**2 - 6*l**2. Let v(h) = h**2. What is v(z(c))?
c**4 - 396*c**3 + 39204*c**2
Let g(k) = -2*k - 80. Let n(v) = -3*v - 112. Let m(h) = -7*g(h) + 5*n(h). Let z(o) = 11*o**2 + 13*o**2 - 7*o**2. Give z(m(p)).
17*p**2
Let b(n) be the first derivative of -7*n**3/3 + 12. Let q(a) = 6*a**2 - 6*a**2 - 5*a**2. Determine b(q(u)).
-175*u**4
Let r(u) = 5*u. Let b(m) be the first derivative of -3*m**2/2 + 4*m - 49. Determine b(r(x)).
-15*x + 4
Let s(j) be the third derivative of -j**4/8 + 10*j**2. Let c(g) = 10*g + 4. Let o(d) = -29*d - 11. Let l(w) = -11*c(w) - 4*o(w). Determine l(s(p)).
-18*p
Let d(q) = 4*q**2 + 0*q**2 + 25*q**2 + 11*q**2. Let t(g) = -36*g**2 - 31*g**2 + 68*g**2. What is t(d(n))?
1600*n**4
Let r(l) = -100*l + 2. Let x(c) = 3*c**2 - 17*c**2 + 4*c**2 - 2*c**2 + 10*c**2. Calculate x(r(i)).
-20000*i**2 + 800*i - 8
Let r(o) = -11*o. Let s(b) = 4*b. Let j(z) = -3*r(z) - 8*s(z). Let k(x) = -8*x**2 - 5*x**2 + 9*x**2 - x**2. What is j(k(f))?
-5*f**2
Let b(x) = -14*x + 53. Let u(l) = 2*l - 1. Let p(d) = -10*d + 4. Let f(o) = -p(o) - 4*u(o). Give b(f(r)).
-28*r + 53
Let w(k) = -k. Let y(o) = -2*o. Let r(f) = -3*w(f) + y(f). Let m(g) = 76*g. Let c(l) = -2323*l. Let x(z) = 3*c(z) + 92*m(z). What is x(r(b))?
23*b
Let u(t) be the second derivative of -t**3/6 - 2*t. Let c(b) = -1 + 6*b - 3 - 4*b + 1. Let v(o) = 11*o - 17. Let k(r) = -34*c(r) + 6*v(r). Calculate u(k(x)).
2*x
Let s(m) = 275*m**2 - 141*m**2 - 136*m**2. Let o(u) = 3*u. Calculate o(s(a)).
-6*a**2
Let j(n) = 1186267*n**2. Let t(p) = p. Give t(j(v)).
1186267*v**2
Let h(y) = -5*y**2. Let j = -2 - -4. Let a = -262 + 264. Let k(r) = -2*r**2 - j*r**a + 8*r**2. What is k(h(d))?
100*d**4
Let q(x) = -12*x - 7*x + 27*x - 11*x. Let j(c) = 2*c. Give j(q(b)).
-6*b
Let t(g) = 56*g. Suppose -8 = a - 10. Let k(q) = -4*q + 9*q**2 - 8*q**a + 4*q. What is k(t(x))?
3136*x**2
Let v(f) = 21*f**2 - 7 + 44*f**2 + 12 + 11*f**2 - 4. Let p(x) = x. Give p(v(z)).
76*z**2 + 1
Let f(v) = 4*v. Let k(q) be the second derivative of -1/6*q**4 + 0*q**2 - 5*q + 0 + 0*q**3. What is k(f(a))?
-32*a**2
Let j(t) = -266*t**2. Let o(g) = 4*g**2 + 3*g. Calculate o(j(d)).
283024*d**4 - 798*d**2
Let f(w) = 3030*w + 2. Let v(d) = -7*d. What is v(f(g))?
-21210*g - 14
Let f(d) = -11*d. Let c(q) = -602*q**2 - 3. Give c(f(n)).
-72842*n**2 - 3
Let h(n) = -107*n**2 + 83*n**2 + 30*n**2. Let q(j) = -7*j**2 + 4*j. What is q(h(g))?
-252*g**4 + 24*g**2
Let s(x) = -7*x. Suppose 3*w + w - 2*d - 48 = 0, -4*w + 20 = 5*d. Let f(l) = -l**2 + 10*l + 6. Let h be f(w). Let t(i) = -6 + h + 2*i. Determine s(t(r)).
-14*r
Let i(x) = 3*x**2. Suppose 5*k - 2*k - 18 = 0. Let j(n) = -2*n**2 + k*n**2 + 4*n**2. Give i(j(d)).
192*d**4
Let i(q) = 277*q**2. Let b(n) = 4*n - 5. Let f(c) = c - 1. Let s(a) = b(a) - 5*f(a). Calculate s(i(h)).
-277*h**2
Let m(w) = -6*w. Let o(t) = 16*t**2 + 1562*t. Give o(m(u)).
576*u**2 - 9372*u
Let l(b) be the first derivative of -5*b**3/3 + 5. Let a(o) = 1047*o - 1048*o - 4 + 4. Calculate a(l(y)).
5*y**2
Let s(b) be the second derivative of 5*b**3/3 + 160*b - 1. Let g(a) be the third derivative of -a**4/12 + a**2. Calculate g(s(k)).
-20*k
Let j(s) be the first derivative of s**3 + 179. Let x(h) = 4*h + 21. What is x(j(g))?
12*g**2 + 21
Let x(k) = 20*k. Let v(d) be the first derivative of -11 + 0*d + 0*d**2 - 2/3*d**3. Determine x(v(p)).
-40*p**2
Let w(u) be the third derivative of 2/15*u**5 + 0*u + 0*u**3 + 0*u**4 - 3*u**2 + 0. Let g(m) = 2*m. Let c(r) = -r. Let b(n) = -4*c(n) - 3*g(n). Give b(w(p)).
-16*p**2
Let c(l) = -8*l**2. Let a(m) = -281*m + 4. Calculate c(a(z)).
-631688*z**2 + 17984*z - 128
Let r(u) = 2*u. Let n(w) be the second derivative of -13*w**3/3 + w - 14. What is n(r(i))?
-52*i
Let d(f) = 908*f. Let y(o) = -o + 8. Determine y(d(t)).
-908*t + 8
Let o(m) = -4*m**2. Let k be -7*(2 - 6)/4. Let b(l) = 7 - 3*l - k + 2*l. What is b(o(s))?
4*s**2
Let p(j) = 3*j. Let m(l) = -l**2 + 36*l - 5. Calculate p(m(b)).
-3*b**2 + 108*b - 15
Let o be (52/91)/((-4)/(-14)). Let k(b) = o*b**2 + 5*b**2 - b**2. Let z(s) = 4*s - 3. Let q(l) = 3*l - 2. Let c(v) = 3*q(v) - 2*z(v). What is k(c(g))?
6*g**2
Let g(f) = -298*f - 1. Let t(l) = 3*l**2 + 26. Calculate t(g(u)).
266412*u**2 + 1788*u + 29
Let q(d) = d**2 - 12*d. Let x be (7/2 - 2)*8. Let w be q(x). Let m(i) = 6 - 3*i**2 - 6 + w*i**2. Let j(t) = -2*t**2. Determine j(m(z)).
-18*z**4
Let g(o) = -3*o**2. Let r(b) = 2*b + 1. Let d(f) = -1. Let x = 1 - 2. Let p(z) = x*d(z) - r(z). Determine p(g(i)).
6*i**2
Let a(p) = -p**2. Let n(s) = -289655*s**2. What is n(a(v))?
-289655*v**4
Let w(u) be the first derivative of u**2/2 + 8. Let b(g) be the first derivative of 7*g**2/2 + 6. Determine b(w(s)).
7*s
Let q(x) = -5 + 2*x**2 - 15 + 20. Let d(l) = -3*l. Give q(d(k)).
18*k**2
Let n(u) be the third derivative of -u**4/2 + 11*u**2 + 5*u. Let b(c) = -4*c**2 + c**2 + 2*c**2. Determine b(n(k)).
-144*k**2
Let v(b) = -4*b. Let k(i) = 20*i**2 + 3*i + 15. Let r(h) = 180*h**2 + 28*h + 140. Let x(o) = -56*k(o) + 6*r(o). Calculate v(x(p)).
160*p**2
Let q(w) = 47*w - 2815 + 1408 + 1407. Let m(r) = 4*r. What is m(q(n))?
188*n
Let s(n) = -100*n**2 - 8. Let c(f) = 99*f**2 + 10. Let p(b) = 4*c(b) + 5*s(b). Let v(k) = k**2. Give p(v(t)).
-104*t**4
Let y(t) = -17*t**2. Let b(v) = -v**2 + 2*v + 1. Let i(g) = -2*g - 1. Let s(x) = 3*b(x) + 3*i(x). Determine y(s(w)).
-153*w**4
Let c(y) = -145*y + 267*y - 123*y. Let r(m) be the second derivative of 5*m**4/12 + 2*m. What is c(r(j))?
-5*j**2
Let r(l) = -l - 256. Let t(u) be the third derivative of u**5/15 + 2*u**2 + 47. Calculate t(r(m)).
4*m**2 + 2048*m + 262144
Let f be 8*(14/4 + -3). Let w(m) = -7*m + f*m - 4*m. Let g(i) = i. Give w(g(l)).
-7*l
Let a(z) = 69*z - 30*z - 39*z + 2*z**2. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 17.
14
What is the remainder when 116 is divided by 108?
8
Calculate the remainder when 307 is divided by 95.
22
What is the remainder when 230 is divided by 48?
38
What is the remainder when 1385 is divided by 173?
1
Calculate the remainder when 26902 is divided by 57.
55
What is the remainder when 1042 is divided by 515?
12
What is the remainder when 203 is divided by 11?
5
What is the remainder when 373 is divided by 126?
121
Calculate the remainder when 546 is divided by 61.
58
What is the remainder when 206 is divided by 106?
100
What is the remainder when 54 is divided by 35?
19
What is the remainder when 515 is divided by 40?
35
Calculate the remainder when 274 is divided by 41.
28
What is the remainder when 428 is divided by 139?
11
What is the remainder when 332 is divided by 20?
12
Calculate the remainder when 151 is divided by 37.
3
Calculate the remainder when 719 is divided by 98.
33
Calculate the remainder when 7152 is divided by 15.
12
Calculate the remainder when 129 is divided by 20.
9
Calculate the remainder when 49 is divided by 38.
11
Calculate the remainder when 3851 is divided by 18.
17
What is the remainder when 266 is divided by 86?
8
What is the remainder when 113 is divided by 15?
8
Calculate the remainder when 115 is divided by 108.
7
What is the remainder when 441 is divided by 61?
14
What is the remainder when 109 is divided by 56?
53
What is the remainder when 1507 is divided by 29?
28
What is the remainder when 13776 is divided by 42?
0
Calculate the remainder when 1097 is divided by 46.
39
Calculate the remainder when 2145 is divided by 4.
1
Calculate the remainder when 3504 is divided by 253.
215
What is the remainder when 686 is divided by 245?
196
What is the remainder when 1294 is divided by 13?
7
Calculate the remainder when 522 is divided by 344.
178
Calculate the remainder when 84 is divided by 26.
6
What is the remainder when 3263 is divided by 26?
13
What is the remainder when 211 is divided by 41?
6
What is the remainder when 874 is divided by 78?
16
What is the remainder when 206 is divided by 9?
8
Calculate the remainder when 144 is divided by 74.
70
Calculate the remainder when 206 is divided by 70.
66
Calculate the remainder when 999 is divided by 24.
15
Calculate the remainder when 675 is divided by 152.
67
What is the remainder when 1053 is divided by 44?
41
Calculate the remainder when 2798 is divided by 919.
41
Calculate the remainder when 1263 is divided by 23.
21
Calculate the remainder when 329 is divided by 49.
35
What is the remainder when 233 is divided by 111?
11
What is the remainder when 343 is divided by 15?
13
What is the remainder when 130 is divided by 66?
64
Calculate the remainder when 3836 is divided by 19.
17
Calculate the remainder when 616 is divided by 91.
70
Calculate the remainder when 3245 is divided by 7.
4
Calculate the remainder when 30 is divided by 12.
6
What is the remainder when 354 is divided by 120?
114
Calculate the remainder when 1118 is divided by 7.
5
What is the remainder when 877 is divided by 5?
2
Calculate the remainder when 2625 is divided by 644.
49
What is the remainder when 2447 is divided by 79?
77
What is the remainder when 623 is divided by 105?
98
What is the remainder when 219 is divided by 31?
2
Calculate the remainder when 314 is divided by 76.
10
What is the remainder when 213 is divided by 17?
9
What is the remainder when 120 is divided by 61?
59
What is the remainder when 287 is divided by 269?
18
What is the remainder when 11 is divided by 6?
5
What is the remainder when 163 is divided by 12?
7
Calculate the remainder when 825 is divided by 339.
147
Calculate the remainder when 22857 is divided by 11.
10
What is the remainder when 514 is divided by 3?
1
Calculate the remainder when 1023 is divided by 18.
15
What is the remainder when 1535 is divided by 508?
11
Calculate the remainder when 365 is divided by 36.
5
What is the remainder when 1269 is divided by 53?
50
What is the remainder when 45 is divided by 16?
13
Calculate the remainder when 10354 is divided by 12.
10
What is the remainder when 431 is divided by 62?
59
Calculate the remainder when 1079 is divided by 23.
21
Calculate the remainder when 921 is divided by 921.
0
Calculate the remainder when 129 is divided by 47.
35
What is the remainder when 1934 is divided by 88?
86
What is the remainder when 397 is divided by 45?
37
What is the remainder when 77 is divided by 21?
14
Calculate the remainder when 1047 is divided by 517.
13
What is the remainder when 8 is divided by 7?
1
What is the remainder when 174 is divided by 96?
78
Calculate the remainder when 228 is divided by 82.
64
What is the remainder when 832 is divided by 379?
74
What is the remainder when 135 is divided by 8?
7
Calculate the remainder when 17498 is divided by 175.
173
Calculate the remainder when 355 is divided by 60.
55
What is the remainder when 545 is divided by 61?
57
What is the remainder when 25 is divided by 14?
11
Calculate the remainder when 2668 is divided by 30.
28
Calculate the remainder when 2484 is divided by 177.
6
Calculate the remainder when 3000 is divided by 19.
17
What is the remainder when 4583 is divided by 12?
11
Calculate the remainder when 4155 is divided by 11.
8
Calculate the remainder when 5765 is divided by 28.
25
Calculate the remainder when 2349 is divided by 8.
5
What is the remainder when 9043 is divided by 266?
265
Calculate the remainder when 5290 is divided by 67.
64
What is the remainder when 649 is divided by 130?
129
What is the remainder when 40 is divided by 11?
7
Calculate the remainder when 753 is divided by 58.
57
Calculate the remainder when 720 is divided by 143.
5
What is the remainder when 19541 is divided by 56?
53
Calculate the remainder when 628 is divided by 65.
43
Calculate the remainder when 126 is divided by 45.
36
What is the remainder when 4845 is divided by 101?
98
What is the remainder when 622 is divided by 143?
50
Calculate the remainder when 14 is divided by 14.
0
What is the remainder when 1330 is divided by 4?
2
Calculate the remainder when 2126 is divided by 133.
131
What is the remainder when 192 is divided by 186?
6
What is the remainder when 516 is divided by 59?
44
What is the remainder when 1542 is divided by 36?
30
Calculate the remainder when 85 is divided by 27.
4
What is the remainder when 245 is divided by 66?
47
Calculate the remainder when 445 is divided by 13.
3
Calculate the remainder when 352 is divided by 34.
12
Calculate the remainder when 791 is divided by 157.
6
Calculate the remainder when 135 is divided by 67.
1
What is the remainder when 1191 is divided by 18?
3
What is the remainder when 1392 is divided by 364?
300
Calculate the remainder when 118 is divided by 40.
38
What is the remainder when 6871 is divided by 7?
4
Calculate the remainder when 219 is divided by 94.
31
What is the remainder when 862 is divided by 170?
12
What is the remainder when 184 is divided by 49?
37
Calculate the remainder when 87 is divided by 13.
9
Calculate the remainder when 265 is divided by 14.
13
Calculate the remainder when 827 is divided by 247.
86
Calculate the remainder when 483 is divided by 27.
24
Calculate the remainder when 295 is divided by 287.
8
What is the remainder when 224 is divided by 10?
4
Calculate the remainder when 793 is divided by 141.
88
Calculate the remainder when 27 is divided by 17.
10
What is the remainder when 1804 is divided by 13?
10
Calculate the remainder when 192 is divided by 40.
32
What is the remainder when 50 is divided by 17?
16
What is the remainder when 138 is divided by 47?
44
What is the remainder when 7219 is divided by 31?
27
Calculate the remainder when 5183 is divided by 61.
59
Calculate the remainder when 3767 is divided by 11.
5
Calculate the remainder when 1518 is divided by 31.
30
Calculate the remainder when 41940 is divided by 49.
45
Calculate the remainder when 147 is divided by 48.
3
Calculate the remainder when 175 is divided by 60.
55
Calculate the remainder when 14274 is divided by 43.
41
What is the remainder when 724 is divided by 40?
4
What is the remainder when 532 is divided by 120?
52
What is the remainder when 2073 is divided by 80?
73
Calculate the remainder wh
|
{
"pile_set_name": "DM Mathematics"
}
|
n divisor of k and 4?
1
Let i be (-6)/4*(-18 - -2). What is the highest common factor of i and 12?
12
Let w(l) = -29*l - 108. Let p be w(-10). Calculate the highest common divisor of 52 and p.
26
Let d = 227 - 210. What is the greatest common factor of d and 629?
17
Suppose 5*w - 3*c - 981 = 0, -5*c = -3*w - 3*c + 588. Let o be 1110/(-50) + (-1)/(-5). Let j = o + 40. Calculate the greatest common factor of j and w.
18
Let y be (11 - (-8 + 4)) + -4. Suppose -64*v = -60*v - 396. What is the greatest common factor of v and y?
11
Suppose 0 = -4*s + 1440 + 2252. Calculate the highest common divisor of 13 and s.
13
Suppose -2*z = 2, 0 = -0*x + x + 4*z - 3. Suppose -x*w + 3*w + 108 = 0. What is the greatest common divisor of 297 and w?
27
Suppose 17*o + 95 = 4*m + 22*o, -106 = -5*m - 2*o. What is the greatest common factor of m and 320?
20
Suppose -45*a + h - 291 = -50*a, -a = -5*h - 79. What is the highest common divisor of a and 944?
59
Suppose -2*m = -2*t + 16, -2*m = -3*m. Suppose -t*a = 152 - 504. Calculate the highest common divisor of 11 and a.
11
Let k = 634 - 1106. Let s = 682 + k. Let i be 312/60 + (-3)/15 + 25. Calculate the highest common divisor of i and s.
30
Let d = -18 + 19. Let x be (-14)/(-1)*1*d. What is the highest common divisor of 112 and x?
14
Suppose 237 = -5*w + 262, 5*w = 5*d - 1445. What is the highest common divisor of 126 and d?
42
Suppose 0 = s + 3, -3*s - 2142 = -2*g + 335. Let b be 5/(-20) - g/(-8). What is the highest common factor of 22 and b?
22
Suppose -14*t + 992 = -6*t. What is the greatest common divisor of t and 62?
62
Let n be (0 + 3 + -1)*147/6. Suppose 4*z = 4*j - 292, -z + n = j - 32. What is the greatest common divisor of 11 and j?
11
Let p = 492 - 444. Calculate the greatest common divisor of 276 and p.
12
Suppose 4*j + r - 24 = 0, 0 = -j + 2*j + 2*r + 1. Let d = j + 1. What is the greatest common factor of d and 88?
8
Let a = -761 + 821. What is the greatest common factor of 160 and a?
20
Let u be 29*2 + (2 - 0). Suppose -t + 25 = 4*r - 76, 0 = 4*t - 20. What is the greatest common factor of r and u?
12
Suppose -1 - 6 = -p. Let w(u) = -40*u**3 + 131*u**3 + 4 + u - 7*u**2 - 47*u**3 - 43*u**3. Let j be w(p). Calculate the highest common factor of j and 11.
11
Suppose 5*i - d = 528, -2*i = -12*d + 7*d - 202. Calculate the greatest common divisor of i and 2014.
106
Let m be 4 - (3 + 1 + -2). Let q be (-1 + 0)/(m/(-20)). What is the greatest common divisor of q and 110?
10
Suppose -3*k + 3*r = 488 - 5609, -5*r + 3421 = 2*k. What is the greatest common factor of k and 56?
28
Let s(u) = 5*u**3 - 3*u**2 + u + 1. Let t be s(1). Suppose -5*z - t*r + 135 = r, -2*z + 5*r = -61. What is the highest common divisor of 70 and z?
14
Suppose -4*r + r + 3*j - 18 = 0, 20 = -5*r + 3*j. Let v be (r/(-3))/(6/198). What is the greatest common factor of 77 and v?
11
Let m be (-2)/((-2)/135) + -2 + 2. Calculate the highest common factor of 15 and m.
15
Let z(m) = -2*m + 4. Let w be z(7). Let v be 4/20 - 898/w. Let h = -5 - -41. What is the highest common divisor of v and h?
18
Let k(l) = l**2 + 12*l + 12. Let w be (-65)/7 - (-4)/14. Let m be k(w). Let j be (-406)/(-12) - m/90. What is the greatest common divisor of 17 and j?
17
Suppose -5*o = -2*s - 1271, 0 = -9*o + 6*o + 2*s + 765. Calculate the highest common divisor of o and 115.
23
Let d(y) = -30*y**2 + 4*y - 6. Let a(g) = g**2 - g. Let n(q) = -3*a(q) - d(q). Let w be n(2). Calculate the greatest common factor of 16 and w.
16
Suppose 6*b + 4*s = 4*b - 16, b - 5*s = 20. Let z = -28 + 28. Suppose b*g + 3*g + 3*m - 90 = z, 5*m - 123 = -4*g. What is the greatest common factor of g and 9?
9
Let p(y) = -y**3 - 3*y**2 - 3*y - 9. Let i be p(-4). Let w be (-2301)/(-11) + (4/(-22) - 0). What is the greatest common divisor of i and w?
19
Let g be ((-24)/(-5))/(68/13430). Calculate the greatest common divisor of 12 and g.
12
Suppose 4 = c - 0*c. Suppose c*n - 665 = 127. Suppose 59 - 5 = 3*a. Calculate the greatest common divisor of a and n.
18
Let p(i) = i**2 + 16. Let f be p(0). Let z = 22 - f. Suppose -5*k = z - 106. Calculate the highest common factor of 5 and k.
5
Suppose 0 = 4*c - 5*m - 476, -5*m + 379 = 3*c - 13. What is the highest common divisor of c and 8?
4
Suppose 27*s = 38*s - 5225. Calculate the greatest common divisor of s and 25.
25
Let k = 500 - -370. Calculate the greatest common factor of k and 20.
10
Let b(l) = -28*l + 5*l - 28*l + 9*l + 10. Let y be b(-6). Suppose 5*n = c + 429 - 163, 2*c + y = 5*n. What is the greatest common divisor of n and 6?
6
Let l be (-1)/(2/(-36)*2). Let t be -2*(-4)/(-16)*-6. Suppose s + 30 = 3*g + 8, t*s = 15. What is the greatest common divisor of g and l?
9
Let k(b) = -87*b**2 + b - 2. Let p be k(1). Let n = p - -148. Calculate the greatest common divisor of 20 and n.
20
Let h(w) = -w**3 + 5*w**2 + 13*w - 39. Let p be h(6). What is the highest common factor of p and 9?
3
Suppose 4*s - 192 = 20. Let l = s + 12. Suppose -23*g + 78 = 3*h - 20*g, -3*h + 78 = g. Calculate the greatest common divisor of h and l.
13
Suppose -2*u = -5*u + d - 30, 5*u = d - 52. Let o(l) = l**3 + 11*l**2 - 4*l + 10. Let g be o(u). What is the greatest common divisor of 135 and g?
27
Let t(v) = 58*v - 8. Let k be t(7). Suppose -k = -3*c + 202. Suppose 0 = -u + 5, 3*u - 45 = -d - 2*u. What is the highest common factor of c and d?
20
Let u(p) = -78*p + 717. Let l be u(9). Calculate the greatest common divisor of l and 3615.
15
Let o(s) = s + 2. Let g be o(-2). Suppose -2*n + 1 + 9 = g. Suppose -5*z = 2*j - 190, -n*z + z + j + 139 = 0. Calculate the highest common factor of z and 12.
12
Suppose 0 = j + 5*p - 223, -5*j = -3*p + 223 - 1198. Let u = -154 - -82. Let f be (u/10)/((-6)/15). Calculate the highest common factor of j and f.
18
Let c(l) = l**3 + 5*l**2 + 18*l + 131. Let m be c(-5). Calculate the greatest common divisor of m and 4756.
41
Let c = 674 + -254. What is the highest common divisor of 24 and c?
12
Let y(l) = 2*l + 268. Let v be y(-15). What is the greatest common divisor of 102 and v?
34
Suppose 915 = 4*c - 3*p, -4*c - 4*p + 918 = -6*p. Let k be (-20)/(-4)*c/5. Calculate the highest common divisor of k and 21.
21
Let r(j) = j**2 + 7*j + 12. Let v be r(-3). Suppose v = 2*p + y - 40, -3*p - 5*y + 86 = p. What is the greatest common divisor of p and 19?
19
Let t be 3*(-2)/3 - 90/(-3). Suppose p + 3*p - 4*q - 36 = 0, 3*p = 4*q + t. What is the greatest common factor of 72 and p?
8
Suppose 35 = q + 5*k, k - 11 = -5*q + 140. What is the greatest common factor of q and 255?
15
Let n(z) = -29*z - 293. Let m be n(-12). Calculate the highest common factor of 121 and m.
11
Let i(r) = r**3 - 2*r**2 - 24*r + 15. Let b be i(6). What is the greatest common divisor of b and 9?
3
Suppose 0*i + 3*i = 36. Suppose 41*r = 47*r - 72. What is the highest common factor of i and r?
12
Let z be 3 + -1 + 3 + -1. Suppose -4*g + 3*g = z*r - 87, -3*g = 4*r - 93. Let i(t) = -83*t + 1. Let h be i(-1). What is the greatest common divisor of r and h?
21
Let n(y) be the second derivative of y**3/6 - 5*y**2/2 - 9*y. Let v be n(7). Calculate the greatest common factor of 5 and v.
1
Let m be (-2)/10 + 3724/245. Suppose 0 = -k + 27 + 33. Calculate the greatest common factor of k and m.
15
Suppose 8 = -12*r - 28. Let u be 12/(-3) - (1 - -1). Let s be 25 + (u - r - -2). What is the greatest common divisor of s and 36?
12
Let h(f) = -84*f - 7*f + 1 - 2. Let p be h(-4). Calculate the highest common factor of 33 and p.
33
Suppose -219 = -4*v + 7*v. Let z be (2 - 1) + -1 + v. Let x = z + 153. What is the highest common factor of 10 and x?
10
Let u = 146 + -135. Let c(n) = 15*n**3 + n**2 - n - 1. Suppose -8 = -3*b - 2. Let h be c(b). What is the greatest common factor of h and u?
11
Let c(o) = -3*o - 4*o**2 - 2*o**2 - 2*o**3 + o**3 + 8 + 2*o**3. Let x be c(8). Let l = -33 - -47. Calculate the highest common factor of l and x.
14
Suppose 59*x + 52 = 63*x. Calculate the greatest common factor of 637 and x.
13
Suppose 0 = 4*c + 5*d - 167, 4*d - 5*d + 214 = 5*c. Suppose -2*j + c = -u - 0*u, -3*u = -j + 34. Calculate the greatest common divisor of j and 152.
19
Let z be (-1)/(-3) + 531/27. Suppose 7*w - z = 2*w. Suppose 0*r - 4*r = -2*b - 20, -4*r + b = -18. What is the highest common factor of r an
|
{
"pile_set_name": "DM Mathematics"
}
|
40*h**2*m**2
Find the second derivative of 81*i**3 - 19655*i**2 + 619*i + 54 wrt i.
486*i - 39310
What is the derivative of -8487595*z**2 - z + 37958490?
-16975190*z - 1
Find the second derivative of 177*i**5 - 1687651*i**4*k**2 + 918*i*k + 402680*k**2 wrt i.
3540*i**3 - 20251812*i**2*k**2
What is the third derivative of -3*v**5*y - 3928312*v**3*y**2 - 1196951*v**2*y**2 - 12*v**2 wrt v?
-180*v**2*y - 23569872*y**2
What is the first derivative of 1844862*b - 1851028?
1844862
What is the first derivative of -168757339*j**3 + 207608895 wrt j?
-506272017*j**2
What is the first derivative of 3*k**4 + 2152260*k + 16008200 wrt k?
12*k**3 + 2152260
What is the first derivative of 1002707*a - 4856718?
1002707
What is the second derivative of -4189912*m**3 - 2*m**2 - 86691*m - 79?
-25139472*m - 4
Find the second derivative of 1271*h**2*i**2 + h**2*i*o + 33*h**2*o - 82*h**2 + 2*h*i*o + 213700*h*o + 2*i**2 - 181*i wrt h.
2542*i**2 + 2*i*o + 66*o - 164
Find the second derivative of -3244901*c*j**2*y**3 + 19*c*j**2*y + 1375*c*j*y**3 - 175373*c*j*y**2 wrt j.
-6489802*c*y**3 + 38*c*y
Differentiate 94*j**3*t + 7229*j**3 + 96*j*t + 1702*t + 11111 with respect to t.
94*j**3 + 96*j + 1702
What is the second derivative of -15775*h*v**3*y + 4*h*y - 16*v**3*y - v**3 + 2*v*y - 3*v + 1665*y wrt v?
-94650*h*v*y - 96*v*y - 6*v
What is the first derivative of -4539*c*l + 916*c + 9372303*l wrt c?
-4539*l + 916
What is the derivative of 24*q**4 - 3*q**3 + 1270*q**2 - 3*q - 9434306?
96*q**3 - 9*q**2 + 2540*q - 3
What is the third derivative of -4051836*u**4 + 3413744*u**2?
-97244064*u
Find the second derivative of -418845507*r**5 - 127761086*r wrt r.
-8376910140*r**3
What is the first derivative of 8323099*g**3*j*p**3 + 7532096*g**3*p**3 wrt j?
8323099*g**3*p**3
What is the first derivative of -1669*a*m**2*s - 1119*a*m**2 + 2*a - 268*m**2 - 17*m*s - 143*s + 3 wrt a?
-1669*m**2*s - 1119*m**2 + 2
Find the second derivative of 2*w**3 - 2581498*w**2*y + 9*w**2 - w*y - w - 81321079*y - 2 wrt w.
12*w - 5162996*y + 18
What is the third derivative of 114889381*h**3 + 56145185*h**2 wrt h?
689336286
Find the second derivative of 616690422*f**3 - 2*f + 209981010.
3700142532*f
What is the third derivative of -2*c**2*h*j**3 - c**2*h*j + 641817*c*h*j**3 - 3634*h*j**2 + 2*h + 3*j**2 wrt j?
-12*c**2*h + 3850902*c*h
What is the third derivative of -6088*p**5 - 4539*p**4 + 123436*p**2 - 360?
-365280*p**2 - 108936*p
What is the derivative of -11371841*n - 8223328?
-11371841
What is the derivative of -16982828*h**4 + h**3 - 7532624 wrt h?
-67931312*h**3 + 3*h**2
Find the third derivative of -256017*c**6 + 88*c**4*j - 37*c**2*j + 9*c**2 + 30*c - 3*j - 3 wrt c.
-30722040*c**3 + 2112*c*j
What is the second derivative of 33581459*q**5 - 11650601*q + 1 wrt q?
671629180*q**3
Differentiate -249*k**4 + 15*k**3 + 13958*k**2 + 296917366.
-996*k**3 + 45*k**2 + 27916*k
Find the first derivative of -174106038*i*m**2 - 188852014*m**2 wrt i.
-174106038*m**2
Find the second derivative of -627551*q**3 + 338*q**2 - 25825*q - 3462.
-3765306*q + 676
What is the second derivative of 56308616*p**2 + 313*p + 49456?
112617232
What is the derivative of b**2*g + 2*b**2 + 38112*b*g - 4*b - 38241369*g wrt b?
2*b*g + 4*b + 38112*g - 4
Find the third derivative of 2*b**3*z**3 + 622*b**3*z - 8306*b**3 + 2*b**2*z + 7138*b*z**3 + b*z**2 + 8*z**2 + 2*z wrt b.
12*z**3 + 3732*z - 49836
Find the first derivative of -14324394*q**2*v**2*w - 2*q**2*v**2 - 132719*q**2*w + 3*q**2 - 2*q*w + 2 wrt v.
-28648788*q**2*v*w - 4*q**2*v
Find the second derivative of -6396677*c**2 + 5688031*c wrt c.
-12793354
Find the second derivative of h**2*q**2*x - 24703470*h**2*q**2 + h*q - 21514*h*x - 3*h - 2*q**2*x + 1 wrt h.
2*q**2*x - 49406940*q**2
What is the third derivative of 266*a**3*f - 2467*a**3 - 16*a**2*f - 47*a**2 - 171*a*f wrt a?
1596*f - 14802
What is the second derivative of 12602*f**2*r - 205*f**2 + 2*f*r + 2*f - 759408*r wrt f?
25204*r - 410
Differentiate -78749553*i*k*s + 13290*i - 2*s + 30 with respect to k.
-78749553*i*s
Find the second derivative of c**3*j**2*m + 2*c**3*j*m + 23*c**3*m + 2*c**2*j*m - 138*c*j**2 + 2063*j**2*m + 115578*j*m wrt j.
2*c**3*m - 276*c + 4126*m
Differentiate 83903788*g - 122547890 wrt g.
83903788
Differentiate -252404796*k**3 - 78026584 with respect to k.
-757214388*k**2
Differentiate -465*z**2 - 102597*z + 4251390 with respect to z.
-930*z - 102597
Find the third derivative of 11*h**5 + 10647*h**4 - 7*h**3 + 1934784*h**2.
660*h**2 + 255528*h - 42
What is the third derivative of -1080954*z**3 + 6019077*z**2 + z wrt z?
-6485724
Find the third derivative of -96*d**5 + 35947*d**3 + 12*d**2 + 14625*d - 4.
-5760*d**2 + 215682
What is the derivative of 266*x**4 + 1878*x**3 - 3*x + 24048887 wrt x?
1064*x**3 + 5634*x**2 - 3
Find the third derivative of 527064020*c**4 - 497861097*c**2 wrt c.
12649536480*c
Differentiate 4*d**4 + 984*d**3 + 496*d - 36307474 wrt d.
16*d**3 + 2952*d**2 + 496
What is the third derivative of -54951057*h**5 - 102382315*h**2?
-3297063420*h**2
What is the third derivative of 95428828*v**6 + 59311078*v**2 - 3*v?
11451459360*v**3
Find the third derivative of 1472755*i**6 - 2*i**3 - 62006200*i**2.
176730600*i**3 - 12
Find the third derivative of -4*o**2*q**3 - 508*o**2*q**2 - 8597*o*q**3 + 287*q**3 + 186602*q**2 wrt q.
-24*o**2 - 51582*o + 1722
What is the second derivative of 5856*i**2*t**3 + 163*i**2*t - 2766*t**3 + 114590*t wrt t?
35136*i**2*t - 16596*t
What is the derivative of 496*m**2*u + 15*m**2 + 16319*m*u - 223671*m - 3 wrt u?
496*m**2 + 16319*m
What is the derivative of -86362*b**3 - 1225*b**2 + 434350403?
-259086*b**2 - 2450*b
Find the third derivative of -9046772*x**3 - 3*x**2 + x - 422309 wrt x.
-54280632
What is the derivative of -95621110*w**2 + 2116297 wrt w?
-191242220*w
Differentiate 608*m**3*r**2 + 6687*m**3*r + 3*r**2 + 13*r + 475577 with respect to m.
1824*m**2*r**2 + 20061*m**2*r
Differentiate -152265908*p + 78965155 with respect to p.
-152265908
Differentiate 165480600*p - 66872834 wrt p.
165480600
What is the second derivative of -164664193*k**4*x**2 - 50738*k + 3*x**2 + 303 wrt k?
-1975970316*k**2*x**2
What is the second derivative of 1198997*h**4 + 136981544*h wrt h?
14387964*h**2
Differentiate 918*f**3*n + 4*f**3 + 3*f**2*n - 148814*f - 729*n - 2 with respect to n.
918*f**3 + 3*f**2 - 729
Find the first derivative of 17*n**4 + 7461*n**2 - 7*n + 1741635 wrt n.
68*n**3 + 14922*n - 7
Differentiate 4636110*r + 37501063 wrt r.
4636110
What is the third derivative of 36770409*s**3*t**3 - 23*s**3*t**2 - 2*s**2*t**2 - 271*s**2*t - 2*s*t**2 - 6*s wrt t?
220622454*s**3
What is the derivative of -1501*z**2 - 32761*z - 549228600 wrt z?
-3002*z - 32761
What is the first derivative of b**2*c*j*l + 14722*b**2*c*j + b**2*j*l + 2*b**2*j - 4*b**2*l + b*j + 505*b*l + 89*c*l + 1205*j*l wrt c?
b**2*j*l + 14722*b**2*j + 89*l
What is the second derivative of 3119*m*q**3 - 58794*m*q - 777*q**4 + 18*q wrt q?
18714*m*q - 9324*q**2
Differentiate -3068*f**3 - 130*f + 7750355 with respect to f.
-9204*f**2 - 130
What is the third derivative of 375899339*w**3 - w**2 + 1903*w - 31920 wrt w?
2255396034
What is the second derivative of -1693512*b**2*v*w + b**2*v - b**2*w + b**2 - 817*b*v*w + 446*b + 5*v*w - v wrt b?
-3387024*v*w + 2*v - 2*w + 2
What is the derivative of 33*t**3*x + 160752400*t**3 - 124896*t**2*x**2 wrt x?
33*t**3 - 249792*t**2*x
Find the first derivative of 357757072*h*m*y + 2186*m - 35*y - 21 wrt h.
357757072*m*y
What is the second derivative of 2841973*c**2 + 1034*c - 12489?
5683946
Differentiate -6*g*y*z - 38*g*y - 2*g*z**2 - 7*g + 17*y - 144060*z**2 + 266 with respect to z.
-6*g*y - 4*g*z - 288120*z
What is the third derivative of -503*l*o**4 + 73797*l*o**2 - 363*l - 56*o**4 - 134*o**3 wrt o?
-12072*l*o - 1344*o - 804
Find the third derivative of -2882*q**5 - 3837*q**4 - 2*q**3 + 8*q**2 + 128*q + 3187.
-172920*q**2 - 92088*q - 12
What is the second derivative of 11767904*f**3 - 10*f - 425472 wrt f?
70607424*f
What is the second derivative of 4*t*u**2 - 3180*t*u + 2*t - 4868806*u**2 + 17117*u wrt u?
8*t - 9737612
What is the second derivative of -33977*v**2*y**2 - 5*v**2*y + 2*v**2 - v*y + 2*v + 184220*y**2 - 64*y wrt v?
-67954*y**2 - 10*y + 4
What is the derivative of -1442541
|
{
"pile_set_name": "DM Mathematics"
}
|
11)))/d)*d**7/d assuming d is positive.
d**20
Simplify (l**4*l*l*l**(-4))/(((l/l**2*l*l)/l)/l*l**(5/6)*l) assuming l is positive.
l**(7/6)
Simplify (t/t**(-2/25))**(17/3) assuming t is positive.
t**(153/25)
Simplify (((m/(m/(m/(m/(m*m**(-7)/m)*m))))/m*m)/((m*m*(m*(m**1*m)/m)/m)/m))/((m**5*m)/(m*m**8)) assuming m is positive.
m**(-7)
Simplify (h*h**8*h)/(h*(h**(-9)*h)/h)*(h**(-1/5)*h)**(-36) assuming h is positive.
h**(-54/5)
Simplify ((c/c**(-2))/c)/(c/c**(5/2)*c) assuming c is positive.
c**(5/2)
Simplify (n**(2/21)/n)**(-41) assuming n is positive.
n**(779/21)
Simplify (g*g/(g*g**(-1/3)*g))/(g/g**(-6/5))*g*g**(-7)*g*g*g*g*g**(7/2)*g*g assuming g is positive.
g**(49/30)
Simplify (c/(c/(c*c*c/(c*c*c**8*c)*c))*c*c**3)**(-30) assuming c is positive.
c**90
Simplify (b/(b*((b/b**(-2))/b*b)/b)*b**(2/15)/b)/(b*b**(-5)*b*b/(b/b**(-1)*b*b)) assuming b is positive.
b**(47/15)
Simplify (l/(l/l**(-3))*l*l*l**(-5))**(-3/13) assuming l is positive.
l**(18/13)
Simplify (j**(-1/6)/(j/j**(-7)*j))/(j*j/(j*j**(-2/9)/j))**(-36) assuming j is positive.
j**(425/6)
Simplify (((j*((j**(-2/5)*j)/j)/j*j)/j)**(3/11))**(-29) assuming j is positive.
j**(174/55)
Simplify (w**(1/15)/w)/w*w**(2/7)*(w*w*w**(2/13))**47 assuming w is positive.
w**(135931/1365)
Simplify j**(-9/4)/(j**(-1/46)*j*j) assuming j is positive.
j**(-389/92)
Simplify ((p**1)**(-37))**(-5/11) assuming p is positive.
p**(185/11)
Simplify (p**(2/3)/((p**(-6)/p*p)/p))/((p/p**(-6))/p*p**(2/13)/p) assuming p is positive.
p**(98/39)
Simplify f/((f*f**0)/f*f*f)*f*(f/(f*f**3))/f assuming f is positive.
f**(-4)
Simplify z**(4/3)/z*z*z**(-5/9) assuming z is positive.
z**(7/9)
Simplify f*(f**39/f)/f*f**(-3/8) assuming f is positive.
f**(301/8)
Simplify (a**(2/9))**(-24) assuming a is positive.
a**(-16/3)
Simplify (n/(n*n**(1/5)*n*n))**2 assuming n is positive.
n**(-22/5)
Simplify (m**(1/4)*(m*((m/(m/(m**1*m*m*m)))/m)/m*m*m)/m*m)**(8/7) assuming m is positive.
m**6
Simplify (((d**(-5)*d)/d)/d**(-1/2))**(-7/3) assuming d is positive.
d**(21/2)
Simplify ((l**0*l)/l)**19*((l**(1/2)/l)/l)/(l**6/l*l) assuming l is positive.
l**(-15/2)
Simplify (w*(w*w**(-8))/w)/w*w*w/((w/(w*w*w**(-22)*w*w)*w)/w) assuming w is positive.
w**(-25)
Simplify ((b*(b*b**(-2/9))/b*b)/(b/(b/b**(-1/5))))**(-32) assuming b is positive.
b**(-2848/45)
Simplify p*p/(((p/p**(-1/5))/p)/p)*p**(-3/4)/p assuming p is positive.
p**(21/20)
Simplify (k**(12/5))**31 assuming k is positive.
k**(372/5)
Simplify (u**(2/5)*(u**(-2/7)/u)/u)**(1/37) assuming u is positive.
u**(-66/1295)
Simplify a**0*a**5*((a**(-4)*a)/a)/(((((a/(a*a**(-6)*a))/a)/a)/a)/a) assuming a is positive.
1
Simplify k/(k*k**(-21))*((k**(-4)*k)/k)/k assuming k is positive.
k**16
Simplify (p/(p/p**(-2/9)))**(11/4)/(p**1*p)**9 assuming p is positive.
p**(-335/18)
Simplify u**(1/2)/u**(-4/9)*(u**(-8)*u)/(u/(u/(u/(u/(u*(((u**(4/3)*u)/u)/u*u)/u*u)*u)))) assuming u is positive.
u**(-133/18)
Simplify ((k/(k/k**(1/5)))**(-2/153))**29 assuming k is positive.
k**(-58/765)
Simplify l**1*l**(1/5)*l*l/(l**(-2/3)*l)*l/l**(1/3) assuming l is positive.
l**(53/15)
Simplify (g**(5/3)/g**(-3/4))/(g**(-3/7)/g*g*g**(-1/4)/g) assuming g is positive.
g**(86/21)
Simplify (k**(5/3))**(9/4) assuming k is positive.
k**(15/4)
Simplify (y**(-3)/y)/y**(1/4)*(((y**(2/5)*y)/y)/y)**(4/9) assuming y is positive.
y**(-271/60)
Simplify v/v**(-13)*v/(v/v**(2/37)*v) assuming v is positive.
v**(483/37)
Simplify (i**(-2/3)/i*i)**(25/6) assuming i is positive.
i**(-25/9)
Simplify x**10/((x*x/(x*x**(-7)))/x) assuming x is positive.
x**3
Simplify (w**(-2/3)/w)**(-37) assuming w is positive.
w**(185/3)
Simplify k/k**1*k/((k**(-3)/k)/k)*(k**(-3/5))**(-1/7) assuming k is positive.
k**(213/35)
Simplify ((i/i**(-1/8))/i)**(-1/65) assuming i is positive.
i**(-1/520)
Simplify (h**(-2)*h*h*h/h**(-3))/(h/h**(1/2))**48 assuming h is positive.
h**(-20)
Simplify (y/(y/(y**(-27)*y)))/(y*(y*y**(-1/3))/y) assuming y is positive.
y**(-80/3)
Simplify (((d*d**(-17)*d*d)/d)/d)/((d*d*d**(-15))/d) assuming d is positive.
d**(-2)
Simplify d**(6/13)*d*(d/(d**(2/21)*d*d))/d assuming d is positive.
d**(-173/273)
Simplify (c**(-2))**(26/7)*c/(c*c**2)*c**(-3/8) assuming c is positive.
c**(-549/56)
Simplify c**(-16)*c/(c/c**32) assuming c is positive.
c**16
Simplify (y/y**(1/3)*y)**(-18/5)*y**(-2)/(((y**(2/7)*y)/y*y)/y) assuming y is positive.
y**(-58/7)
Simplify (y*y**(1/3))**(-50)/((y*y/(y/(y/(y/(y/(y*y/(y/((y**2/y)/y))))))))/y**(-1/5)) assuming y is positive.
y**(-1018/15)
Simplify (k**(1/2)/k*k/(k/((k**8/k)/k)))/(k/((k/k**(-2)*k)/k))**(2/31) assuming k is positive.
k**(349/62)
Simplify (i**(-13))**26 assuming i is positive.
i**(-338)
Simplify (j/(j**1*j))**(-10/7)/(j**(-2)/j*j/((j**(1/2)*j)/j)) assuming j is positive.
j**(55/14)
Simplify (l/(l/(l/(l*l**(-7)*l*l)))*l*l*l*l**(1/4)/l*l)**(-19/5) assuming l is positive.
l**(-627/20)
Simplify d*d**(-1/10)*d/(d**(-16/7)*d) assuming d is positive.
d**(223/70)
Simplify (((c/c**(-4))/c)/c)/(c*c**(-4/3)*c)*(c/c**0)**(-4/13) assuming c is positive.
c**(79/39)
Simplify (x**(7/4))**21 assuming x is positive.
x**(147/4)
Simplify q/(q/(q*q**20*q*q))*q/(q/q**(5/4)) assuming q is positive.
q**(97/4)
Simplify p**(-1/14)*p/(p**18/p) assuming p is positive.
p**(-225/14)
Simplify (t*t/(((t*t**(2/5))/t)/t))**(-44)/(t*t**(-1/2))**(-50) assuming t is positive.
t**(-447/5)
Simplify l*l*l/(l*l**26*l)*l*l/(l**(2/41)/l*l) assuming l is positive.
l**(-945/41)
Simplify (d**(-2)/d*d*d)**(-32)*(d/d**2)/d*d/(d*d**1) assuming d is positive.
d**29
Simplify (m**(-3/8)*(m**(-4/9)*m*m)/m)**(-48) assuming m is positive.
m**(-26/3)
Simplify a/(a/(a/(a**(-2)/a)))*a*a**(-8)*(a*a**(-1/3))/a**1 assuming a is positive.
a**(-10/3)
Simplify (h**(-1/3)*((h/h**(-2/3))/h)/h)/((h*(h/(h*h*((h**(-5)/h)/h)/h)*h)/h)/(h**(-3)*h)) assuming h is positive.
h**(-32/3)
Simplify (j*j*j**(-2/7)*j)**(-50)*j**(-4/7)*j**(1/3)/j assuming j is positive.
j**(-2876/21)
Simplify (p/(p*p**7/p*p))**(-37) assuming p is positive.
p**259
Simplify (h*h*h**(-2/9))**(-17/3)*h*h**(-2/5)*(h*h**(-4)/h)/h assuming h is positive.
h**(-1954/135)
Simplify (h**19*h**(-3))**(-2/75) assuming h is positive.
h**(-32/75)
Simplify ((h**6/h)/(h*h**(-3/8)*h))/(h*h*h**(2/7)/h*h)**(1/15) assuming h is positive.
h**(2707/840)
Simplify (c**(-4)*c)**(-14) assuming c is positive.
c**42
Simplify (s/(s*s**(-3)))/s**(6/5)*s*s/(s/(s*s**(-9/4))*s*s)*(s/(s**(-2/41)*s)*s)/s assuming s is positive.
s**(-329/820)
Simplify ((d*d**(-1/5)/d)/d)/(d*d**(2/9)) assuming d is positive.
d**(-109/45)
Simplify o/(o/(o**(-5/4)*o)*o)*o/(o/(o/(o/o**4*o)))*o**(-2/17)*o**(-5/4) assuming o is positive.
o**(13/34)
Simplify (c**(3/8))**(1/55) assuming c is positive.
c**(3/440)
Simplify ((o**(-1)*o)**(2/25))**(-7/4) assuming o is positive.
1
Simplify h/(h/(h*((h*h**(-5)*h)/h)/h*h))*h**(-4)*h**(-3)/h*h**2 assuming h is positive.
h**(-9)
Simplify h**(-4)*h**(-4/7)/h*(h/((h/(h*h*h*h*h/h**1*h))/h))**34 assuming h is positive.
h**(1389/7)
Simplify b*b*b**(-1)*b**5*b**4/b*b**(3/5)/b assuming b is positive.
b**(43/5)
Simplify (m/(m*m/m**(1/10)))/m**8 assuming m is positive.
m**(-89/10)
Simplify (((f**(-4)*f)/f*f)**(-3/19))**(4/5) assuming f is positive.
f**(36/95)
Simplify (r*r*(r/r**(-28))/r*r)/r**(1/5) assuming r is positive.
r**(154/5)
Simplify (p**8/p*p)/p*p**(-8/7)*p**(-1/7)*p/(p*p/(p/(p**5/p))) assuming p is positive.
p**(12/7)
Simplify (w*w**2*w)**(1/11)*(w*w/(w**2*w))**(-2/25) assuming w is positive.
w**(122/275)
Simplify ((m/m**(-4/7))**(-1/64))**1 assuming m is positive.
m**(-11/448)
Simplify (k**(2/7))**(-24)*(k/(k**(-2/7)*k))**(3/19) assuming k is positive.
k**(-906/133)
Simplify (o*o**(-1)/o)**(-31)*(o/(o*o**(-4)*o))/o**(-1/5) assuming o is positive.
o**(171/5)
Simplify (y*y**11)/(y*y*y/((y/((y/y**6*y)/y))/y*y))*(y/y**(-2/23))/y**(-4/7) assuming y is positive.
y**(2682/161)
Simplify ((g/((g/(g/g**(-2)*g))/g))/g**6)**(-20/9) assuming g is positive.
g**(20/9)
Simplify (x*x/x**(2/29))/(x/((x**5/x)/x)) assuming x is positive.
x**(114/29)
Simplify (r**(-1))**24 assuming r is positive.
r**(-24)
Simplify ((p/(p/(p/((p/p**14)/p))))/p)/(p/(p**4/p)) assuming p is positive.
p**16
Simplify (b/(b**0/b))/b*b*b*b**(-1)*(b**0*b)**(3/2) assuming b is positive.
b**(7/2)
Simplify ((z*z**(-27))/z)/z**2 assuming z is positive.
z**(-29)
Simplify (g*
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 5*t - 85 = -4*k, -15 = -3*k - 3*t + 45. Let d be (24/k)/(-4)*5. Which is the closest to 0? (a) d (b) -0.2 (c) 0.4
b
Let h = 9 + -9. Which is the closest to -1/5? (a) -3 (b) 0.2 (c) h
c
Let o = -5 - -5.1. Let a = o - 5.1. What is the closest to 0.1 in -3, a, 1/5?
1/5
Let o = -1.951 - 0.049. Let n = 0.3 - 0.5. Let u = n + -0.8. Which is the nearest to 1? (a) 0.3 (b) u (c) o
a
Let x = -13 + 14. Let r = 8685/19 + -457. What is the closest to x in -0.4, -2, r?
r
Let m = 0.03 + -0.04. Let u = m + 1.01. What is the nearest to -1/3 in 1/4, u, -2?
1/4
Let v = 4/683 - 3471/9562. Let f = v - 1/7. Which is the closest to 0.1? (a) -3 (b) -2/5 (c) f
b
Let s = -0.65 - -28.65. Let d = s + -27. What is the closest to d in -4, 5, -0.3?
-0.3
Suppose -2*h + 16 = -q + 3*h, -9 = -3*h. Which is the closest to q? (a) -4 (b) -2 (c) -0.2
c
Let u = -82 + 88.8. Let t = u + -7. What is the closest to -1 in 0.3, -3, t?
t
Let n = -0.536 + 0.036. What is the nearest to 0.1 in 0.1, n, -4?
0.1
Let l be (224/105)/(-8) + 4/6. Which is the nearest to 1? (a) l (b) 0.06 (c) 0.5
c
Let w = 0.17 - -0.13. Let u = -0.4 - 0.1. Let b = 4/29 - 152/261. What is the nearest to 2/3 in u, w, b?
w
Suppose j - 14 = -13. Which is the closest to -1/3? (a) 12 (b) -1 (c) j
b
Let u = -684/7 - -98. Which is the closest to 0.1? (a) 0 (b) -1/10 (c) u
a
Suppose 3*s - 1 - 5 = 0. Let y(z) = -z**3 + 3*z**2 - 4*z. Let n be y(3). Let r be n/(-9)*s/12. Which is the nearest to -1? (a) r (b) 3/8 (c) -5/2
a
Let s = 6.1 + -6. Let u = -1.1 + 1. Let z = -0.09 - 0.21. What is the nearest to s in z, u, 3?
u
Let o = 17 - 16. Which is the closest to o? (a) 0 (b) -1/5 (c) -2/3
a
Let j = -1.2 - -0.2. Which is the closest to j? (a) 2 (b) -3 (c) 0
c
Let k = -2.4 + 0.4. Let y = 0.1 - 0.2. Let x = y - -1.1. What is the nearest to k in 0.2, x, -1/4?
-1/4
Let m = -2.5 + 1.5. Suppose -2*h - y = -3*h - 7, 4*y = 12. Which is the nearest to m? (a) h (b) 1/5 (c) -2
c
Let q = -270 - -2163/8. Let j = -6.56 - -7. Let i = 0.06 + j. Which is the nearest to -2/7? (a) q (b) i (c) -1
a
Let p = 12 - 11.7. What is the closest to -2 in -4/3, 2/13, p?
-4/3
Let y be 81/(-6)*8/6. Let u be (-14)/63*y/8. Which is the closest to 0? (a) u (b) 2/9 (c) -4/3
b
Let d = 8.1 - 8. Which is the nearest to d? (a) -1/7 (b) 5 (c) -3/7
a
Let o = -0.13 + 0.13. Let j = -3 + o. What is the nearest to -0.3 in 0.5, -0.1, j?
-0.1
Let r be 3 + (3/8)/(2/(-8)). Let p = -7 + 11. What is the nearest to p in 2, -2/5, r?
2
Let i = 1.1 + -1. Let j = -36.21 + 36. Let w = -3.79 + j. Which is the closest to i? (a) 1/6 (b) -5 (c) w
a
Let y = -72 - -67. Which is the closest to 1? (a) y (b) -1 (c) -2/9
c
Let u be (-65)/(-52)*1/5. Let c = -1 + 0.9. What is the closest to -1 in c, u, 3/2?
c
Let d(z) = -z**3 + 5*z**2 - 9*z + 9. Let t be d(2). Let u = 3.9 + 0.1. What is the closest to -1/4 in 1, t, u?
1
Let l = -29.5 - -26.5. Let j = 77 + -80.1. Let h = j - -3. What is the closest to -0.1 in h, l, 3?
h
Let k = -8.323 + 0.023. Let j = k - -8. Let u(a) = -a**2 - 6*a - 1. Let l be u(-5). What is the closest to 2/3 in l, -4, j?
j
Let w(s) = s**3 + 2*s**2 - s + 3. Let l be w(-3). Let f = -1/85 - -177/595. Let z = 0.1 - -0.9. Which is the nearest to -2/3? (a) l (b) f (c) z
b
Let n = 2.53 - 0.53. Which is the nearest to 2/7? (a) n (b) 0.3 (c) 7
b
Let m = 0 - -0.5. Let k = -2.84 + -0.16. Which is the nearest to k? (a) m (b) -5 (c) -0.5
b
Let a = -2.99 + -0.01. Let x = -10 + 9.9. Let w be 14/(-12) + (-18)/(-12). What is the closest to -1 in w, a, x?
x
Let p = 5 + 1. Let k = 5.9 - p. Let r = 2.4 + -0.4. Which is the closest to k? (a) 5 (b) -5 (c) r
c
Let h = 2 + -1.6. What is the closest to 1/2 in h, -4/3, 3?
h
Let z = 4/5 - 1/20. Let i = -0.06 + -0.34. Let n = i + 0.5. Which is the nearest to n? (a) 2/3 (b) z (c) 1
a
Let j = -239/5 + 48. What is the nearest to 0 in j, -3/7, -1?
j
Let o = 124 + -129. Which is the closest to 1/4? (a) o (b) 8 (c) 1
c
Let o be 0*(-1)/3 + -29. Let f = 117/4 + o. Let s = -0.4 - -0.1. What is the nearest to -1 in 2/3, s, f?
s
Let f = 7.1 + -7. Let l = 80 + -157/2. Which is the closest to f? (a) l (b) -1/4 (c) 1
b
Suppose -4*h - 5 = h. Let j be -2 - ((-11)/(-5) - 4). What is the nearest to 1 in j, h, -2?
j
Let n = -0.18 + -0.22. Which is the nearest to 1? (a) 2/11 (b) 3 (c) n
a
Let v = 8 + -8.07. Let s = v - 0.93. Let i = 0.3 - -0.2. What is the closest to s in -5, -0.2, i?
-0.2
Let k be (9/12)/((-636)/8). Let g = -207/530 + k. Let q(x) = -x**3 + 2*x**2 + 2*x - 3. Let y be q(2). What is the nearest to y in 0.5, g, 4?
0.5
Let r = -1.4 - 0.6. Let d = r + 3. Let q = 340/63 + -46/9. What is the nearest to q in d, -2/7, -4?
-2/7
Let r = 9 + -9.4. Let n = 5 + -6.5. Let q = n - -1. What is the closest to -1/2 in q, r, 5?
q
Let j = -5.8 + 6. Let o(n) = n**3 - 5*n**2 + n - 5. Let d be o(5). What is the closest to -2/3 in d, j, -4?
d
Let u be (-22)/(-10) - 1/5. Suppose 0*f = -r + u*f + 7, -3*r - 6 = 3*f. Suppose 0 = -2*y + 4*y - 2. What is the nearest to y in 3, 2/13, r?
r
Let z = 2.8 + -3. Let f be ((-3)/(-30))/((-2)/5). Which is the nearest to -1? (a) f (b) z (c) -2/7
c
Let y be (-18)/(-24)*2/(-6). Which is the closest to 0.2? (a) y (b) -0.5 (c) 5
a
Let k = 177 - 1592/9. Let o = 2.96 + 0.04. Let y = o - 2. What is the nearest to y in 0, -0.4, k?
k
Let k(b) = b**3 - 7*b**2 - 6*b - 11. Let v be k(8). Let r = v - 3. Suppose 4*s + 2 = -2*j, 0*s + 4*s + 6 = r*j. What is the closest to -2 in s, 2, 2/7?
s
Let h(b) = -2*b - 9. Let y be h(-6). Let a be (-1 - 48/22) + y. Let x = 0.2 + -0.3. What is the closest to x in 0.1, -1, a?
a
Let m = -0.27 + -1.93. Let q = m + 0.2. Let s = 0.08 - -0.02. What is the closest to s in 2, 4, q?
2
Let n = 1/2 + -1. Let y = -4 - -3. Let k = -1.5 - -5.5. What is the closest to n in k, y, 1?
y
Let q = 0.013 - -0.487. Which is the nearest to 1? (a) -0.1 (b) -0.04 (c) q
c
Let o = 33 + -35. Let v = 1.76 + 0.14. Let f = v - 2. Which is the closest to o? (a) f (b) -1/5 (c) 0.4
b
Let i be 1*(-7)/(112/12). Which is the nearest to -2? (a) i (b) 3 (c) 4
a
Let f be -4 - ((-130)/35 - 0). Which is the closest to f? (a) -0.5 (b) -3 (c) 0.4
a
Let h = -0.3 + -0.7. Let o = 0.07 + -0.01. Let m = 0.04 + o. Which is the nearest to m? (a) h (b) 4/3 (c) 0
c
Let y = 6 - 6. Let o be (-2)/386*2*-1. Let r = -179/1351 - o. What is the closest to y in r, 0.5, 4?
r
Let q be 3/9*(3 - 1). What is the nearest to 2/5 in 0.3, q, 1/7?
0.3
Let h = -0.9 + -4.1. Which is the nearest to 1? (a) 1/4 (b) h (c) -1/12
a
Suppose 0 = -4*h - h + 5. Suppose 0 = y - 2*m - 4, 3*y - 3*m + m = 8. Suppose y*w + i + 5 = 4*i, -5*w + 5*i = 0. What is the nearest to h in w, -1, -3/5?
-3/5
Let v = 53 + -74. Let m = 24 + v. Let l = -2 - -1.8. What is the closest to 1 in 4, l, m?
l
Let b = 41/116 - 3/29. What is the nearest to 0 in 1, -2, b?
b
Let g be ((-8)/3)/(16/(-24)). Let m = -0.2 + 1.3. Let j = -1 + m. Which is the closest to j? (a) 0.2 (b) g (c) -4
a
Let o = 0.06 - 0.36. Let t = -1.4 - -0.9. Which is the nearest to -0.2? (a) 0 (b) o (c) t
b
Let m be (-2*(-2)/8)/(-3). Let u = -838.99 - -834. Let w = 0.01 - u. Which is the nearest to 2/7? (a) -2/7 (b) m (c) w
b
Let u = 34 - 24. Let y = 5 - u. What is the closest to 1/2 in y, -1/6, 2?
-1/6
Let o = 1.2 - 1. What is the closest to o in -3, -0.4, -1?
-0.4
Let i = -0.1 + 0. Suppose t - 3*s = -4*t + 2, 4*s - 5 = -t. Let y be t + (-22)/6 + 2. Which is the closest to y? (a) i (b) -2 (c) 5
a
Let z be -1*1*(-3)/6. Let i = 0.1 + 0. Let d = -0.26 + 0.26. What is the closest to i in d, 5, z?
d
Let z be (1 + -5)*1/(-6). Let r = 7.9 + 0.1. Let v = -13 + r. Which is the nearest to -4? (a) 0.4 (b) z (c) v
c
Let q be ((-8)/18)/((-2)/(-3)). Let o = -18.03 - -18. What is the closest to -0.1 in 4, q, o?
o
Let r = -0.02 + 0.52. Let x = -1.9 - -6.9. What is the nearest to -1 in x, -2/3, r?
-2/3
Let d = 0.3 - -1.7. Let k = 2.1 - d. Let b = 0.7 + -0.2. What is the closest to -1 in -4, k, b?
k
Let h = 20.022 + -0.022. Let v = 26 - h. Which is the closest to -0.2? (a) -5 (b) 3/4 (c) v
b
Let f be (-22)/30 + (-4)/(-3). What is the nearest to 0 in -0.06, f, 1?
-0.06
Let g be (3/(-5))/((-1)/(-3)). Let q = g + 31/20. Let r = -2 - -3. What is the closest to q in -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 4061.
2047
What is the remainder when 4784423 is divided by 2299?
204
What is the remainder when 23305 is divided by 10571?
2163
Calculate the remainder when 7688923 is divided by 976.
971
What is the remainder when 7991907 is divided by 380566?
21
What is the remainder when 1275191 is divided by 356?
355
What is the remainder when 33354 is divided by 8214?
498
Calculate the remainder when 47952087 is divided by 1028.
1027
What is the remainder when 10218395 is divided by 513?
461
What is the remainder when 3271076 is divided by 12?
8
Calculate the remainder when 33314095 is divided by 586.
581
What is the remainder when 37326 is divided by 37277?
49
What is the remainder when 289792 is divided by 8769?
415
Calculate the remainder when 170090 is divided by 85039.
12
What is the remainder when 4799608 is divided by 4799607?
1
Calculate the remainder when 4235588 is divided by 107.
100
What is the remainder when 140217 is divided by 4696?
4033
What is the remainder when 3789516 is divided by 172?
12
Calculate the remainder when 91231640 is divided by 1350.
1340
Calculate the remainder when 279991 is divided by 915.
1
What is the remainder when 16731 is divided by 532?
239
Calculate the remainder when 10705218 is divided by 1847.
6
What is the remainder when 123324743 is divided by 201511?
11
Calculate the remainder when 5352425 is divided by 33.
23
Calculate the remainder when 823091 is divided by 411396.
299
What is the remainder when 10220111 is divided by 19?
11
What is the remainder when 31984 is divided by 592?
16
What is the remainder when 4566746 is divided by 16728?
2
What is the remainder when 9679827 is divided by 431?
429
What is the remainder when 13685989 is divided by 21?
16
Calculate the remainder when 1920544 is divided by 249.
7
What is the remainder when 73251146 is divided by 150?
146
Calculate the remainder when 773698 is divided by 2005.
1773
Calculate the remainder when 1041582 is divided by 2800.
2782
What is the remainder when 47570813 is divided by 2257?
24
What is the remainder when 580330 is divided by 580001?
329
Calculate the remainder when 16896161 is divided by 31.
14
What is the remainder when 198860521 is divided by 10411?
10
Calculate the remainder when 6390347 is divided by 278.
239
What is the remainder when 98223 is divided by 6285?
3948
Calculate the remainder when 18008740 is divided by 272856.
244
Calculate the remainder when 1885364 is divided by 8197.
54
Calculate the remainder when 460979 is divided by 460754.
225
What is the remainder when 756593121 is divided by 139?
136
What is the remainder when 26777315 is divided by 51894?
11
Calculate the remainder when 5849639 is divided by 5735.
5674
Calculate the remainder when 49327929 is divided by 12.
9
What is the remainder when 17814718 is divided by 120?
118
Calculate the remainder when 138036 is divided by 138013.
23
Calculate the remainder when 2276165 is divided by 195.
125
What is the remainder when 2729839 is divided by 2403?
31
Calculate the remainder when 19868973 is divided by 4261.
4191
Calculate the remainder when 668898 is divided by 21569.
259
Calculate the remainder when 1063727 is divided by 151956.
35
What is the remainder when 14806236 is divided by 4935409?
9
Calculate the remainder when 287808 is divided by 8993.
32
What is the remainder when 228223 is divided by 79?
71
Calculate the remainder when 2041316 is divided by 226678.
1214
Calculate the remainder when 454101 is divided by 56754.
69
Calculate the remainder when 269797 is divided by 1232.
1221
What is the remainder when 14179357 is divided by 260?
257
Calculate the remainder when 322809729 is divided by 5059.
5057
What is the remainder when 4844797 is divided by 1211181?
73
Calculate the remainder when 4039548 is divided by 147.
135
What is the remainder when 1137809 is divided by 10?
9
What is the remainder when 250350 is divided by 124224?
1902
Calculate the remainder when 128059797 is divided by 105.
12
Calculate the remainder when 18502525 is divided by 544191.
31
Calculate the remainder when 106734601 is divided by 79.
71
What is the remainder when 12951364 is divided by 25?
14
Calculate the remainder when 14431219 is divided by 73.
68
Calculate the remainder when 22465639 is divided by 11232818.
3
What is the remainder when 966900 is divided by 21975?
0
Calculate the remainder when 801318 is divided by 4.
2
What is the remainder when 33250606 is divided by 111?
1
Calculate the remainder when 388577 is divided by 128736.
2369
What is the remainder when 56414 is divided by 55770?
644
Calculate the remainder when 1035919 is divided by 35.
24
What is the remainder when 935224 is divided by 739?
389
What is the remainder when 43667453 is divided by 65?
63
What is the remainder when 9453 is divided by 1831?
298
Calculate the remainder when 26305077 is divided by 983.
980
What is the remainder when 7481070 is divided by 1637?
1617
What is the remainder when 74924446 is divided by 43?
42
Calculate the remainder when 1145144 is divided by 563.
2
Calculate the remainder when 33559 is divided by 16733.
93
Calculate the remainder when 1858158 is divided by 619339.
141
What is the remainder when 104785 is divided by 1541?
1538
What is the remainder when 6362232 is divided by 2007?
42
Calculate the remainder when 1530586 is divided by 15779.
23
Calculate the remainder when 1730200 is divided by 82390.
10
What is the remainder when 138781571 is divided by 46260520?
11
What is the remainder when 457069 is divided by 1232?
1229
What is the remainder when 1207012 is divided by 17000?
12
Calculate the remainder when 9446573 is divided by 54.
29
Calculate the remainder when 532544 is divided by 7.
5
Calculate the remainder when 865562 is divided by 2196.
338
What is the remainder when 712241 is divided by 137?
115
Calculate the remainder when 4869606 is divided by 7.
0
What is the remainder when 84058594 is divided by 5520?
34
What is the remainder when 2061549 is divided by 5648?
29
Calculate the remainder when 637590327 is divided by 13.
10
What is the remainder when 188994 is divided by 9922?
476
What is the remainder when 51601 is divided by 12809?
365
Calculate the remainder when 85363675 is divided by 6197.
0
Calculate the remainder when 3746375 is divided by 16.
7
Calculate the remainder when 20017 is divided by 3196.
841
Calculate the remainder when 45337 is divided by 4697.
3064
Calculate the remainder when 62914 is divided by 15007.
2886
What is the remainder when 33920 is divided by 703?
176
Calculate the remainder when 18344691 is divided by 153.
144
What is the remainder when 258616 is divided by 961?
107
Calculate the remainder when 445188 is divided by 445138.
50
What is the remainder when 1040652 is divided by 1339?
249
What is the remainder when 3273325 is divided by 2298?
973
What is the remainder when 3279932 is divided by 1639962?
8
What is the remainder when 899421 is divided by 899397?
24
What is the remainder when 370526 is divided by 30831?
554
Calculate the remainder when 147862 is divided by 446.
236
Calculate the remainder when 18246424 is divided by 18246422.
2
What is the remainder when 283453 is divided by 1658?
1593
Calculate the remainder when 2158741 is divided by 261.
10
What is the remainder when 4597468 is divided by 2298692?
84
Calculate the remainder when 60371076 is divided by 20123678.
42
Calculate the remainder when 3680 is divided by 1184.
128
Calculate the remainder when 13278430 is divided by 1455.
100
Calculate the remainder when 304220 is divided by 10862.
84
Calculate the remainder when 40938773 is divided by 5078.
5015
Calculate the remainder when 20077327 is divided by 2369.
52
Calculate the remainder when 2365 is divided by 116.
45
What is the remainder when 5132827 is divided by 4010?
27
What is the remainder when 1541665 is divided by 770796?
73
Calculate the remainder when 147444295 is divided by 1684.
1675
Calculate the remainder when 6203324 is divided by 6203268.
56
Calculate the remainder when 144208 is divided by 271.
36
What is the remainder when 503509 is divided by 993?
58
What is the remainder when 2923498 is divided by 41176?
2
What is the remainder when 23359653 is divided by 3305?
3218
What is the remainder w
|
{
"pile_set_name": "DM Mathematics"
}
|
have the same value?
False
Let c = -0.7 - -1. Let m = 0 + -0.08. Let r = m + -0.02. Does c = r?
False
Let r be 12/42 + 12/7. Suppose 2*t + 3*t = 4*d + 20, -r*d = 5*t - 20. Which is smaller: 2 or t?
2
Let m(f) = -f**2 - 7*f. Let g be m(-7). Suppose g*s + 3*s = 3. Does s = 2/3?
False
Let f = -6080 - -88783/15. Let p = f - -161. Which is smaller: p or 1?
p
Let v = 2.06 + -0.06. Let s = 0 + -2. Which is bigger: v or s?
v
Let i = 45398/117 + -388. Which is smaller: i or 1?
i
Let i be 3 - (7/2 - 3). Does i = 4?
False
Suppose c - q = -10, -2*q = -0*q + 2. Is c != -10?
True
Suppose -180 = -2*l - l. Let y be (l/(-18))/(4/(-18)). Suppose 0 = -a + 3, -5*q + 5*a - y = -3*q. Is q smaller than 0?
False
Suppose -g - 2*y - 16 = 2*y, 2*y = -10. Suppose g*q + q = 0. Is q at least -1/10?
True
Let q = -29 + 27. Is -1/2 greater than q?
True
Let h = 0.1 + -0.1. Let i = h - 1. Let g = -303/4 + 75. Is i >= g?
False
Let v = -0.8 + 0.7. Let i be (-14)/6*4/14. Let b = 1/6 + i. Which is smaller: v or b?
b
Let y be 1/(((-5)/2)/(-5)). Suppose y*d - q + 5*q = 2, 15 = 4*d - 3*q. Let b = -3 - -5. Which is greater: b or d?
d
Let u be 0 + -3 + (-68)/(-20). Which is bigger: u or 2/7?
u
Let s = 9.6 - 13.7. Let q = 4 + s. Is 0.1 smaller than q?
False
Let o(c) = c**2 - 9*c - 4. Let d be o(9). Let f be 2 + 7*-1 + 0. Is d not equal to f?
True
Suppose 2*u - 22 = -4*b, 0 = 3*b - 0*u - 2*u - 6. Let r = b - 1. Suppose -5*w - 4*d = -17, 5*w - 27 = r*d - 2*d. Which is greater: 4 or w?
w
Suppose -3*z + 34 = -4*r, -15 = -3*r + 2*z - 40. Let m = -2 - r. Suppose h = 5*s + 21, 4*h + 3 = -5*s + 12. Which is greater: h or m?
h
Let w = -1/5 - 3/10. Which is greater: -2 or w?
w
Let k = -18.8 + 19. Is k at most as big as 0.4?
True
Let o = 0.05 - -1.95. Let n = 1 - o. Let j = 2.01 - 0.01. Is j at least n?
True
Let c = 2841/2 + -1450. Let s = c + 30. Is s < 2?
True
Suppose a + 21 = 5*u, -5*u + 6 = -19. Do a and 1 have different values?
True
Let z(f) = f**2 + 5*f - 6. Let v be z(-8). Suppose -7*d = -d + v. Is 1/4 greater than or equal to d?
True
Let n = -58 + 289/5. Let p = -4 - -3.9. Does p = n?
False
Let w be (0 + (-1 - 0))/5. Suppose -2*n + c - 57 = 0, n + 4*c + 136 = -4*n. Let k = n + 28. Which is smaller: k or w?
w
Let a = 139/8 + -35/2. Let j(l) = 6*l**3 + 3*l**2 - 4*l - 1. Let b(o) = 7*o**3 + 3*o**2 - 5*o - 1. Let k(x) = 5*b(x) - 6*j(x). Let u be k(-2). Is a >= u?
True
Let w = -110 - -111. Is w not equal to 16.8?
True
Let a = 2 - 3. Let o = -1.2 - a. Does o = 3/5?
False
Let z be ((-3)/4)/((-171)/(-24)). Let b be 3/3*1*-1. Is b > z?
False
Let y be ((-6)/76)/((-6)/8). Suppose p = -3*p. Which is smaller: p or y?
p
Suppose 2*x - 4*x = 0. Let c = 8/9 + -95/117. Do c and x have different values?
True
Let h(t) = 5*t**3 + 40*t**2 + 53*t. Let c(m) = m**3 + 10*m**2 + 13*m. Let o(d) = -9*c(d) + 2*h(d). Let r be o(11). Which is greater: 2/9 or r?
2/9
Let m be 398/(-330) - 8/20. Let a = m - -3/11. Is a at most as big as -1?
True
Let z(d) = d**2 - 4*d + 4. Let b be z(3). Suppose 2*p - q + b = p, 3*q = p + 5. Let l be (-5)/3 - (-12)/18. Is l bigger than p?
False
Let m = -0.1 + 0. Let g = -10.1 - -10. Let r = g - m. Is -3 > r?
False
Suppose 0 = u + 11 - 20. Which is smaller: 8 or u?
8
Let h be 5/(-10)*30/(-3). Suppose -c = -h*c + 16, -3*k = -4*c + 13. Is k less than or equal to -1/18?
False
Let v be ((-6)/4)/(6/(-8)). Suppose -n - 3*n + 20 = 0. Suppose n*u - 6 = 2*u. Is u less than or equal to v?
True
Suppose 4*d - 4 = -4*f, 0*f + 5 = f + 3*d. Let u be (4/5)/(f/5). Let g be (-5)/3 - u/6. Which is bigger: 0 or g?
0
Let x = 5.4 + -5. Is x greater than or equal to 1/6?
True
Let d(w) = w**3 - 2*w**2 + 2*w - 3. Let v be d(2). Let m = 156 + -1245/8. Do m and v have the same value?
False
Let v = -73 + 587/8. Suppose -9*a + 4*a + 20 = 0. Let l = 5 - a. Which is bigger: l or v?
l
Let u(q) be the second derivative of q**3/6 + 2*q. Let t be u(-3). Is t smaller than -2?
True
Let d be (2/6)/(2/(-45)). Which is greater: -9 or d?
d
Let h = 1756/3 - 585. Let t = -0.35 + 0.3. Which is smaller: t or h?
t
Let r be 234/(-20) - 3/6. Let j = r + 12. Which is smaller: j or 0?
j
Let c be -1 + (-2)/(-1) + -9. Let a = c + 8. Which is smaller: a or -7?
-7
Suppose 2*t = 4*x - 24, 3*x - x + 5*t = 0. Suppose -36 = -4*v - x*g, v + 6*g = g + 24. Suppose -5*p - 21 = m, -v*p + 3 = 4*m + 7. Is -5 at least p?
True
Let a be ((-6)/(-8))/(-4 + 1). Which is bigger: a or 8?
8
Let c = 10.1 + -10.4. Which is smaller: -0.2 or c?
c
Let m be ((-9)/(-8))/(3*1). Let j be -6 + 54/8 + (-2)/(-8). Which is greater: m or j?
j
Suppose -8 = 16*g - 20*g. Is 1/4 >= g?
False
Suppose 2*f - 24 + 22 = 0. Let j = -309/4 - -78. Is f bigger than j?
True
Let c be ((-46)/(-16) - 3)*1. Is c at least -1/11?
False
Let b(g) = g + 7. Let y be b(-4). Suppose 0 = -y*z - 0*z - c + 2, 5*c + 3 = -2*z. Which is bigger: 0 or z?
z
Let x = 0.2 - -4.8. Let l = 0.07 - 7.07. Let c = l + x. Which is smaller: c or -1?
c
Let k be ((-6)/(-4) + 1)*2. Let y be 5 - (3 - 1 - -2). Suppose k*c + 4 = -y. Which is greater: c or -1/6?
-1/6
Let j be (-3)/(-6) + (-1)/10. Let m = -13 - -22. Let r = 6 - m. Which is bigger: j or r?
j
Let f(j) = j**2 - 2*j - 1. Let b(n) = 2*n**2 - 5*n - 2. Let l(s) = -3*b(s) + 7*f(s). Let i be l(2). Suppose 0 = 4*y + y + i. Are y and -1 non-equal?
False
Let k = 12 + -4. Do 9 and k have different values?
True
Let x be 1 - (2 + 10 + 2). Let j(r) = r + 9. Let o be j(x). Which is smaller: o or -3?
o
Let r be 0 - (5 - 2)*-5. Suppose -r = -8*a + 3*a. Suppose 0 = -2*w - 1 + a. Do w and -1 have different values?
True
Let b = 397 + -21839/55. Let x = b - -3/11. Let j(a) = -2*a + 1. Let y be j(1). Which is smaller: y or x?
y
Let g = 13 - 43. Is g at most -29?
True
Let u = -0.3 - -0.9. Let r = u - -0.4. Let t = 0 + r. Do 0 and t have the same value?
False
Let n be -15*(40/6)/(-2 + 4). Is n != -50?
False
Let f = -0.05 - 0.55. Let s = f - -0.6. Is -3 >= s?
False
Let y = -0.6 + 0.2. Let h = 0.3 + y. Let z = h - -0.2. Which is bigger: -2 or z?
z
Let i = -27 + 26. Let x = 4 + -8. Which is greater: x or i?
i
Let c(v) = v - 5. Let w be c(6). Let b = -6 + 7. Do w and b have the same value?
True
Let w = 103/4 - 729/28. Let i = -1 - -0.3. Let b = -0.6 - i. Is w < b?
True
Let p(i) = -5*i + 1. Let r(o) = 14*o - 4. Let l(n) = 17*p(n) + 6*r(n). Let b be l(-11). Is 2 less than b?
True
Suppose -3*d + 2*f = 17, -3*d = 6*f - f - 11. Let s = 204 - 206. Which is smaller: d or s?
d
Let p = 505/3 + -2447/15. Let s = p - 6. Is s != 0?
True
Suppose 3*q - 61 + 13 = 0. Is 16 > q?
False
Let k = 0.1 - 0.1. Let f be (-2)/15*20/(-12). Which is smaller: k or f?
k
Let j = 4.3 - 4. Let t be (-2)/(-3) - 48/126. Which is smaller: j or t?
t
Let n = 10 + -13. Let i = n + -1. Is -4 at least as big as i?
True
Let m = 5 - -3. Suppose 4*b - 24 = t, 10 = 3*b + 4*t - m. Let c(h) = 2*h**3 - h. Let v be c(-1). Which is bigger: b or v?
b
Suppose 4*w + 3*y + 2*y = 20, 5*w - 3*y - 25 = 0. Is w bigger than 26/7?
True
Let v be ((-1)/(-3)*0)/(-1). Suppose -5*y + v*y = -190. Let k = -151/4 + y. Which is greater: k or 1?
1
Let q(t) = -t**3 + 9*t**2 + 7*t + 9. Let k be q(-6). Let p = k - 20786/41. Let o = p + 35/246. Which is greater: o or -1?
o
Suppose 5*x - 2*x = -87. Let f = 5697/4 + -27913/20. Let i = x + f. Which is smaller: i or 1?
i
Suppose -5 = 3*v - 8*v. Let q = -4 + 6. Suppose q*b - v = b. Is b not equal to -2/5?
True
Let o = -133.1 - -133. Which is bigger: 45 or o?
45
Let x be 1208*5*2/(-38). Let b = x + 318. Which is smaller: b or 1?
b
Let b = 98.95 - 101. Let s = -0.05 - b. Does 1/3 = s?
False
Let y be (-1)/3 - 26/(-6). Does 1 = y?
False
Let b = 1178 + -1160.86. Let x = b + -17. Let c = x - 0.84. Is c greater than or equal to 2/7?
False
Let m = 10 - 6. Suppose 3*u + 5*b + 8 = 0, m*b = -2*u - 3 - 3. Let n = -2 - u. Which is bigger: n or 0.2?
0.2
Suppose -p + 2 = 5. Which is greater: p or -27/7?
p
Let r = -0.3 + 0.2. Let b = 4 + -7. Let c be ((-1)/8)/(b/18). Which is smaller: c or r?
r
Let j = 21395/13 - 1645. Is j < 2?
True
Suppose -k = o - 7, 0*k - 1 = 2*k - 3*o. Let j = -21 - -29. Let p = -5 + j. Which is greater: p or k?
k
Let n = 45 + -47. Which is bigger: -5/4 or n?
-5/4
Let w = 2.3 - 2. Let i = -1.2 - 1.6. Let l = -3 - i. Is w not equal to l?
True
Let y = 1/7 + -13/42. Let u(q) be the first derivative of -q**4/4 + 8*q
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate -0.2*-45335312.
9067062.4
What is -0.11518 times -4.1087?
0.473240066
0.9 * 7937.577
7143.8193
-2.25*84302
-189679.5
Calculate -1569.267*-30.
47078.01
0.053837*0.0002
0.0000107674
29.03478*2.29
66.4896462
What is 2009.03 times 281?
564537.43
-14.8 times -4.48926
66.441048
-11912.5 * -55
655187.5
What is the product of -1.19 and 1950135?
-2320660.65
Product of -392 and -2052.
804384
Product of -0.02 and -3204416.8.
64088.336
Product of 615 and -193787.
-119179005
Multiply -0.1 and -29883013.
2988301.3
Multiply 114.6 and 234.26.
26846.196
-603617 times -74
44667658
What is the product of 1 and -16413930?
-16413930
What is the product of 0.06 and 3651778?
219106.68
Calculate -1304.314*0.2.
-260.8628
What is the product of -435 and -937444?
407788140
21*-3112146
-65355066
What is the product of 0.5 and 0.25530024?
0.12765012
-1.3*-11260472
14638613.6
Work out -0.5 * -635076.
317538
58087 times 0.039
2265.393
What is 355759 times 49?
17432191
-4 times 31996015
-127984060
0.212*-38280.77
-8115.52324
Product of -8.2 and 10858227.
-89037461.4
What is 16604.815 times 4?
66419.26
0.04*3.59416
0.1437664
Work out 0.01924 * -26958.
-518.67192
-8.2 times -289510.3
2373984.46
What is the product of -85 and 6502?
-552670
Product of -0.03 and 425875.
-12776.25
Product of -79.18 and -58669.
4645411.42
-17130436*-2
34260872
What is the product of 0.063 and -3396999?
-214010.937
Multiply 7395 and 3121.6.
23084232
Calculate 228680620*0.2.
45736124
What is 5 times -2769533?
-13847665
1.7*60726
103234.2
772223 * 9
6950007
-25860 * 938
-24256680
-2921384 * -0.5
1460692
What is the product of 201.51 and -0.0523?
-10.538973
Calculate -1116*0.070115.
-78.24834
Multiply 519.9 and -0.2105.
-109.43895
Multiply 23106254 and -1.
-23106254
-1405.897 * 0.28
-393.65116
-0.3 * -0.5195064
0.15585192
What is 0.0177 times -2.12202?
-0.037559754
Calculate -7*-294252.1.
2059764.7
What is the product of 1928.146 and -12?
-23137.752
Multiply -0.27 and -42138.12.
11377.2924
Work out -1244 * -0.2043.
254.1492
Product of -3 and -43926654.
131779962
40.9989*17
696.9813
Calculate -6*10888648.
-65331888
Multiply 56176 and 1031.
57917456
Multiply -0.02972592 and 0.9.
-0.026753328
Work out -0.01035691 * -1.9.
0.019678129
What is 30 times -1545.149?
-46354.47
Multiply -277 and -8444.
2338988
What is the product of 0.3 and 1371997?
411599.1
33104564 times 0.06
1986273.84
Product of -0.04 and 103970001.
-4158800.04
What is the product of -65.37 and 1.9227?
-125.686899
Work out -59917.65 * 0.4.
-23967.06
Product of 19 and -157302.
-2988738
Multiply -0.9506 and 863.
-820.3678
Calculate -7.875*746.
-5874.75
What is the product of -0.7 and 0.141217?
-0.0988519
What is the product of -1580094 and -0.24?
379222.56
What is 1580 times 10727?
16948660
-859873120 * 4
-3439492480
What is -442.5 times 34266?
-15162705
126361*-0.7
-88452.7
Calculate -86817*3855.
-334679535
96607.29 times 0.03
2898.2187
-39849781 times -0.5
19924890.5
Work out -738 * 802.448.
-592206.624
Multiply -0.179 and -0.28203.
0.05048337
-1.172*11432
-13398.304
30591.9436 times 2
61183.8872
Product of -33 and -12.334.
407.022
1*-4602.7116
-4602.7116
Product of 1998749 and -0.03.
-59962.47
Calculate -0.4*0.2064184.
-0.08256736
Multiply -11171901 and -0.83.
9272677.83
Work out -19761331 * -1.
19761331
Calculate -2*-0.086489153.
0.172978306
Product of 0 and 1380248.
0
What is the product of 0.25 and -2780646?
-695161.5
What is 4.13481 times 880?
3638.6328
What is 0.24 times 64037?
15368.88
Product of -15604 and -0.6784.
10585.7536
Calculate -79*-2955210.
233461590
0.2*7976408
1595281.6
What is the product of -1448.70417 and 1?
-1448.70417
Calculate -283.0332*-141.
39907.6812
-68195.16 * 9
-613756.44
Product of 0 and -201.1705.
0
-201.74 * 968
-195284.32
What is -478900 times -3?
1436700
What is the product of -7619188 and 0?
0
What is the product of -2389.453 and -0.026?
62.125778
Work out 0.1465 * -2688.
-393.792
What is 8.6 times -529445?
-4553227
Product of 1.08166 and 2.8.
3.028648
20733 times 8.054
166983.582
What is -0.0576 times -0.10251?
0.005904576
Calculate 23*182936.
4207528
Product of -0.023136 and -3.6.
0.0832896
Product of 2 and 3263464.
6526928
Calculate -109221*0.059.
-6444.039
Work out -227855 * 1.3.
-296211.5
-78483.99 times -7
549387.93
What is 1207.5896 times -22?
-26566.9712
8.366 * 3.7163
31.0905658
What is -519121790 times 0.1?
-51912179
What is -5 times -2806614?
14033070
-0.24328 times -744
181.00032
Multiply -162.63 and -842.
136934.46
5 * 244085.2
1220426
Product of -129576 and -848.
109880448
-35 times 3684864
-128970240
Multiply -844.6 and -20.25.
17103.15
-33.22*-10.305
342.3321
-11*17.31845
-190.50295
Product of -1 and -3270020.
3270020
Work out -24.18 * 328.32.
-7938.7776
Product of -244929 and -0.085.
20818.965
18 times 35.80393
644.47074
Work out -373 * 65.1.
-24282.3
Work out 0.0318 * 1021.8.
32.49324
What is 8.12 times 14286?
116002.32
Work out 2468.03 * -0.007.
-17.27621
2915610.6*0.4
1166244.24
What is the product of 0.021 and 3622.387?
76.070127
-140 times -69545
9736300
Calculate 7051365*31.
218592315
Product of 9.5 and 111709.
1061235.5
Multiply 92 and 54293.8.
4995029.6
What is the product of 1119500 and 0.02?
22390
4 * -251581
-1006324
Work out 4 * -46532714.
-186130856
Work out -2553055 * -0.02.
51061.1
Multiply 0.5 and -282793.3.
-141396.65
3.53533 * 0.04
0.1414132
4 * 332780.8
1331123.2
Calculate -24997*-131.9.
3297104.3
Multiply 6.057027 and 2.5.
15.1425675
-107529 times 0.1028
-11053.9812
Multiply -0.2162657 and -87.
18.8151159
1.1*-78129
-85941.9
Work out -0.04116 * -12.0984.
0.497970144
4 times 0.00949006
0.03796024
What is the product of -0.3 and -14672.247?
4401.6741
Work out -11.3 * -1163.249.
13144.7137
Multiply 331 and 0.14159.
46.86629
-0.69*-0.16842
0.1162098
0.24013*6.68
1.6040684
-16.04*-0.0346
0.554984
-4*-1.07571605
4.3028642
Calculate -0.5*-553.5158.
276.7579
Calculate 7*16999471.
118996297
What is the product of -8.946 and -2478?
22168.188
Product of -3 and 69536206.
-208608618
4*1.855166
7.420664
Product of 3150 and -486.9.
-1533735
Multiply 446762129 and 5.
2233810645
-151 times -2239983
338237433
3.1 times 125201
388123.1
What is the product of -33 and -16498535?
544451655
What is the product of -1368 and -6.18?
8454.24
-5583537*2
-11167074
What is -6 times -1306521?
7839126
234673.4*-0.1
-23467.34
What is the product of 235 and -0.07551?
-17.74485
Work out 60.89 * -6983.
-425194.87
Work out 276 * 0.04185.
11.5506
Product of 1.2 and -469104.
-562924.8
Work out -4694 * -24.2.
113594.8
Work out -0.60652 * 10376.
-6293.25152
2 * -0.8800356
-1.7600712
Product of -0.120913 and -0.0415.
0.0050178895
Calculate 0.9181*-877.
-805.1737
14 * 7632.6
106856.4
-3 times 202354.964
-607064.892
-2.3 times -193413
444849.9
4 times 155883354
623533416
1.263 * 1.7176
2.1693288
0.4434 times 90.558
40.1534172
17481.6 times -0.3
-5244.48
Product of 372.41453 and -0.1.
-37.241453
-2 * 0.26831567
-0.53663134
What is the product of 281 and 262190?
73675390
-1862*-28534
53130308
What is 2 times -1164.59693?
-2329.19386
Work out -0.3987 * -0.405.
0.1614735
Multiply 81343 and -3.713.
-302026.559
What is the product of 37085058 and 1?
37085058
Product of 3.54823 and 86.
305.14778
-7059578 * 6
-42357468
-27 times -1207161
32593347
Product of 2431100 and -0.12.
-291732
Multiply 286036 and -0.48.
-137297.28
What is the product of -0.2 and -114.7778?
22.95556
12.9308744*0.5
6.4654372
-50748 times -883
44810484
-51.73254 * -1
51.73254
1.4322*1074
1538.1828
Calculate 301376.2*-29.
-8739909.8
Calculate 0.11*42.602.
4.68622
Multiply -0.5 and -8116166.9.
4058083.45
What is 1392067.64 times 5?
6960338.2
-1540 * 97.0501
-149457.154
-46380*276
-12800880
567 times 3.352
1900.584
202.348866 * 0.5
101.174433
Calculate -0.7*466072.
-326250.4
3.94 * -18033
-71050.02
What is -0.646 times -154962.7?
100105.9042
316.6 times -0.79
-250.114
-23*1.903218
-43.774014
What is the product of 36457136 and 34?
1239542624
Calculate 342*-242119.
-82804698
8 * -7.431487
-59.451896
What is the product of -12840674 and 1.3?
-16692876.2
Calculate 20.31*-0.048214.
-0.97922634
What is the product of -4 and -12766340.8?
51065363.2
82238 * 475
39063050
0.014342 times -2578
-36.973676
What is 456058794 times 0.4?
182423517.6
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
vative of 2*h**2*n**2*s**2*w + 149*h**2*n**2*s - 15038*h**2*n*s**2*w - 2*h*n**2 + 28*h*w - 2*n*s wrt s.
4*h**2*n**2*w - 30076*h**2*n*w
Find the first derivative of -534*n**2 - 147*n + 164719.
-1068*n - 147
Find the second derivative of 55*v*w**2*x**3 + 524*v*w**2*x - 36*v*w*x**2 + 16*v*x**3 - 3*w**2*x - 2*w*x**3 - 2*w + 2*x**3 - 17*x wrt w.
110*v*x**3 + 1048*v*x - 6*x
Find the second derivative of -727*f**3*t**2 - 11*f**3 - 128*i**2*t**2 - 4*i**2 - 7509*t wrt t.
-1454*f**3 - 256*i**2
Find the first derivative of 42273*u**2 + 34818.
84546*u
What is the third derivative of -25683*s**4 + 69*s**2 - 4*s - 36 wrt s?
-616392*s
Find the second derivative of 4*k**3*w**2 - 140068*k**2*w**2 + 2*k*w**2 - 44*k*w - 26*k + w**2 wrt k.
24*k*w**2 - 280136*w**2
Find the third derivative of -7*j**5 + 15783*j**4 + 358*j**2 + 20*j wrt j.
-420*j**2 + 378792*j
What is the derivative of 407046*y - 219873 wrt y?
407046
Find the second derivative of 67*x**4 - 112*x**3 - x**2 + x + 62640.
804*x**2 - 672*x - 2
What is the second derivative of 682659*n**2 + 1132616*n?
1365318
Find the second derivative of d*g*k**3 - d*g*k**2 - 2031*d*g*k - 16*d*g + d*k - 7*k**3 + 256*k**2 wrt k.
6*d*g*k - 2*d*g - 42*k + 512
What is the third derivative of 101773*p**3 - 4017*p**2 - 9*p wrt p?
610638
What is the third derivative of 67*h**6 + 2*h**4 + 2*h**3 + 146830*h**2 wrt h?
8040*h**3 + 48*h + 12
Find the second derivative of 6*p**5 - 23823*p**4 + 2*p**3 - 343*p - 49 wrt p.
120*p**3 - 285876*p**2 + 12*p
What is the second derivative of 25*l**5 + 14*l**2 + 34436*l?
500*l**3 + 28
Find the second derivative of 2468077*o**2 + 1830347*o.
4936154
Find the first derivative of -1377*r**3 + 404*r**2 + 4061386 wrt r.
-4131*r**2 + 808*r
Differentiate -2*w**3 + 1874*w**2 + 3*w + 834602 wrt w.
-6*w**2 + 3748*w + 3
Find the third derivative of 55691*k**3 + 56*k**2 - 1174.
334146
Find the first derivative of -4735932*l + 2504182 wrt l.
-4735932
Find the third derivative of 889579*j**4 + 39*j**2 - 91.
21349896*j
What is the first derivative of 105*s**2 + 4*s - 57286?
210*s + 4
Differentiate -14*c*h**2*u**2 + 4*c*h**2*u*x + 2*c*h**2 - 155780*c*h*u**2*x - 3*c*h*u**2 + c*h + 12*h**2*u + 149*h*u wrt x.
4*c*h**2*u - 155780*c*h*u**2
What is the second derivative of -63*y**3 - 103*y**2 - 35232*y wrt y?
-378*y - 206
Differentiate n*o**2 + 36*n + 12*o**3 - 12*o**2 + 360 wrt o.
2*n*o + 36*o**2 - 24*o
What is the second derivative of -9549*t**3 - 159*t**2 - 34507*t wrt t?
-57294*t - 318
Find the third derivative of -n**4*o - 972*n**3*o**2 + 7*n**3*o - 26610*n**2*o**2 wrt n.
-24*n*o - 5832*o**2 + 42*o
Find the third derivative of t**5 - 4*t**4 + 433*t**3 - 3175*t**2 - t + 3.
60*t**2 - 96*t + 2598
What is the third derivative of -17*m*o**3 - 477472*m*o**2 - m - 794*o**3 + 2*o**2 wrt o?
-102*m - 4764
What is the derivative of -57273*t + 42633?
-57273
What is the third derivative of -212628*d**2*i**6 + 16*d**2*i**2 - 2*d**2 - 29*d*i**2 - i**6 - 4*i - 2 wrt i?
-25515360*d**2*i**3 - 120*i**3
Find the second derivative of -225119*j**4 + 709*j + 19 wrt j.
-2701428*j**2
Differentiate 5846122*d - 3697661.
5846122
Find the second derivative of -p**5 + 10278*p**3 + 96717*p.
-20*p**3 + 61668*p
What is the second derivative of -4*c**4 - 2*c**3 - 323*c**2 + 2*c + 15700 wrt c?
-48*c**2 - 12*c - 646
Find the third derivative of -g**4*h + 281178*g**3*h + 20*g**2*h - 1438 wrt g.
-24*g*h + 1687068*h
What is the second derivative of -349511*m**2 + 142586*m wrt m?
-699022
What is the second derivative of 157730*j**2*k*o**2 + j**2*k*o + j*k - j*o - 15*j + 958*k*o**2 + 2*k*o wrt j?
315460*k*o**2 + 2*k*o
What is the derivative of -69*m**3 - 295*m + 189256 wrt m?
-207*m**2 - 295
Find the third derivative of 4448*q**2*y**3 + 255576*q**2*y**2 - 25*q*y**3 wrt y.
26688*q**2 - 150*q
Find the first derivative of 67554*m*t**2 + 2*m*t + 3790*t**2 + 15*t - 2 wrt m.
67554*t**2 + 2*t
Find the first derivative of 2*o**3 + 7610*o + 115885 wrt o.
6*o**2 + 7610
What is the derivative of -27*l**2*t + l**2 - 2*l*t - 133*l - 1905322*t wrt l?
-54*l*t + 2*l - 2*t - 133
What is the second derivative of 1382166*f**2 - 5131*f - 113 wrt f?
2764332
Find the third derivative of 580522*p**5 - 916244*p**2.
34831320*p**2
What is the first derivative of -36421*t**2 + 26904 wrt t?
-72842*t
Find the second derivative of -124*d**3*o - 54*d**3 - d**2*o**2 - 2*d*o**2 + 17214*d + 3*o**2 wrt d.
-744*d*o - 324*d - 2*o**2
Find the second derivative of -134*p**3 + 932*p**2 + 4*p + 23876.
-804*p + 1864
Find the first derivative of -2789482*x - 3325176.
-2789482
Find the second derivative of -37653*f**3*z**4 + 2*f**3*z + 245*f**2*z - 98 wrt z.
-451836*f**3*z**2
What is the third derivative of -2122102*i**3*k - 17*i**2 + 315*i*k + 2 wrt i?
-12732612*k
What is the second derivative of -15*x**3*y**2 + 3*x**3*y + 266*x**3 + 7*x**2*y**2 - x**2*y - 112*y**2 + 16 wrt y?
-30*x**3 + 14*x**2 - 224
What is the derivative of 513149*d - 320396 wrt d?
513149
What is the third derivative of -1555191*c**3 - 2*c**2 - 145695*c wrt c?
-9331146
Differentiate -3*g**2*i**3 + 91*g*i**2 - 20*g*i + 3*i**3 - 92*i wrt g.
-6*g*i**3 + 91*i**2 - 20*i
What is the second derivative of 76288*l**4*o - 54*l*o - 146*o + 1 wrt l?
915456*l**2*o
What is the second derivative of 23755*i**4 + 3*i**3 - 2*i**2 - 412*i + 103 wrt i?
285060*i**2 + 18*i - 4
Find the third derivative of -2687308*c**6*o**3 - 1202*c**2*o**3 + 4*c**2*o**2 - c**2 - 2*o**3 + 3 wrt c.
-322476960*c**3*o**3
What is the second derivative of -1668*u**5 + 84*u**3 - 2288568*u?
-33360*u**3 + 504*u
Find the second derivative of 4*r**2*t**2 + 302*r**2*t - 502*r**2 - 8*r*t**2 + 9*r*t - 97*t**2 wrt r.
8*t**2 + 604*t - 1004
Find the second derivative of 23*o*u**2 + 200*o*u - 7665*o - 7*u**3 + 4706*u**2 wrt u.
46*o - 42*u + 9412
Find the second derivative of -3*d**3*g**2*o**2 - 267403*d**3*o**2 - 2*d**3 - d**2*g**2 + 14*d**2*g + 73*d**2 - 11*d*g**2*o + 2*g*o wrt o.
-6*d**3*g**2 - 534806*d**3
Find the third derivative of -126700*d**5 + 6*d**2 - 1749*d + 1.
-7602000*d**2
What is the derivative of 2*h*j**2*t**2 - 20*h*j**2 - 71*h*j*t - 74*j**2*t**2 + 75*j*t**2 - 2*t**2 wrt h?
2*j**2*t**2 - 20*j**2 - 71*j*t
Find the second derivative of 2486385*h**2*p**3 - 363*h*p**3 - 3*h*p**2 + 891*p**3 wrt h.
4972770*p**3
Find the third derivative of 15*j**5 + 10*j**3*z - 167*j**3 + 34418*j**2 + 3*z wrt j.
900*j**2 + 60*z - 1002
Find the third derivative of -126*j**4*s + 128*j**4 - j**3*s**3 - 14*j**2*s + 2*j*s + 467*s**3 wrt j.
-3024*j*s + 3072*j - 6*s**3
What is the first derivative of 83*f*s**3 + 7*f*s + f + 3*s**3 + s + 160 wrt s?
249*f*s**2 + 7*f + 9*s**2 + 1
What is the third derivative of -3*k**3*w**2 - 4*k**3*w - 467*k**3 + 995*k**2*w**2 + 63*k*w**2 wrt k?
-18*w**2 - 24*w - 2802
Find the second derivative of 25458*c*l*t**2 - 10*c*l*t - c*t + 6524*c + l*t**2 + 19*t**5 wrt t.
50916*c*l + 2*l + 380*t**3
Find the third derivative of 352580*m**3 + m**2 + 1193*m - 5.
2115480
What is the second derivative of -16114*l**3 + 231*l - 4 wrt l?
-96684*l
What is the first derivative of 254184*c**2 + 804511?
508368*c
What is the second derivative of 41773*u**4 - 2*u - 10003?
501276*u**2
Differentiate 2345*a**3*l**4 - 48186*a**3 - 10*a*l**4 - 3*a with respect to l.
9380*a**3*l**3 - 40*a*l**3
Find the first derivative of 6*l**2*w**3 + 2373*l**2*w**2 - 306*w**3 - 2*w + 18 wrt l.
12*l*w**3 + 4746*l*w**2
What is the second derivative of -10261*v**2 - 119940*v wrt v?
-20522
Find the third derivative of 1027413*p**3*r**3 - 19271*p**2*r**3 - 7*p*r wrt p.
6164478*r**3
Differentiate 632056*y**4 - 151031 wrt y.
2528224*y**3
What is the second derivative of -12*a**2*u**2 + 3*a**2 + a*u**2 - 94*a*u - 1586*u**2 - 3*u + 8 wrt u?
-24*a**2 + 2*a - 3172
Differentiate -2*l**3 + 96*l**2 + 31*l + 311164 with respect to l.
-6*l**2 + 192*l + 31
Find the first derivative of -17*a*n**3*z + 2*a*n**3 + 2*a*n**2 - 5784*a*n*z - a*n + 76*n**3 + 2*n**2*z + 212 wrt z.
-17*a*n**3 - 5784*a*n + 2*n**2
Find the first derivative of 6410198*v**2 + 7095059.
12820396*v
Differentiate -10*f**3*o + 325*f**3*r*z**2 - 2*f**2*o*z**2 - 56*o*r*z**2 + 132*o*z**2 wrt r.
325*f**3*z**2 - 56*o*z**2
Find the second derivative of 3*d**2*j**3 + 51*d**2*j**2 + 192*d**2*j - 2*d**2 + 16*d*j**3 - 2075*d wrt d.
6*j**3 + 102*j**2 + 384*j - 4
F
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*w - 13. Let m(x) = 1. Let o(y) = -h(y) - 6*m(y). Is o(6) composite?
False
Let x(j) = -j**3 + 5*j**2 + 2*j - 3. Let b be x(6). Let h = -15 - b. Let a = 7 + h. Is a a composite number?
False
Suppose -33 + 6 = 3*k. Let u = 12 - k. Is u prime?
False
Suppose -3*p = p + 64. Is (-4700)/p + (-6)/8 a composite number?
False
Suppose 0*f + 14 = 2*f. Let j be (0 - 3)*(-3)/((-18)/(-10)). Suppose f*g - j*g - 586 = 0. Is g a composite number?
False
Let p(h) = -2 + 4*h - 2*h**3 + 2*h**3 - 3*h**2 + 2*h**3. Let d be 3/2 + (-12)/(-8). Is p(d) prime?
True
Suppose -5*v + v = 116. Let c = v + 52. Is (c + -2)*3 + 2 composite?
True
Is (-88025)/(-225) - 2/(-18)*-2 a composite number?
True
Let l be 14/(-4)*(-1 + -1). Suppose -x + 8 + 10 = 0. Suppose -3*w - 2*j + x = 0, -2*w + l*w - 5*j = 30. Is w a composite number?
True
Let a = 20 - 38. Let u = -6 - a. Is ((-148)/u)/((-1)/3) composite?
False
Let u(j) = -j**3 - 11*j**2 + 12*j - 6. Let r be u(-12). Is 966/4*r/(-9) a composite number?
True
Suppose 5*u + 3*k - 5 = u, -u + 4 = -2*k. Suppose -390 = -4*t - u. Is t a composite number?
False
Suppose 3*f - n + 5 = 4*f, -f + 2*n + 5 = 0. Suppose 5 = s + 2*j - 21, -3*j = -f*s + 104. Is s composite?
True
Let t(w) be the third derivative of w**6/60 - w**5/30 + w**4/24 - w**3/3 - 4*w**2. Is t(3) composite?
False
Let h(i) = 142*i - 1. Let w be h(-2). Let a = 412 + w. Is a a prime number?
True
Let r be 33/15 + (-2)/10. Suppose -g + 993 = r*g. Is g prime?
True
Suppose 9*i - 45625 = 17942. Is i prime?
False
Let z be -3 + 0 + 4 + -1. Suppose z = 8*s - 3*s - 370. Is s a prime number?
False
Suppose 12 = 3*c - 4*y, 3*c + 4*y + 1 = -11. Suppose 0*n + n - 1 = c. Is 3/6*6/n a prime number?
True
Let k(v) = 14*v + 9 - 3*v**2 - 2 - 1 + 2*v**2. Is k(7) a composite number?
True
Let a = 31 + 15. Suppose u = 257 - a. Is u a prime number?
True
Let y = -275 + 496. Suppose -2*d = -3*h - 6*d + y, 0 = h + 3*d - 82. Is h a composite number?
False
Let n(i) = 4*i**2 + 7*i - 38. Is n(-15) prime?
True
Let b(c) = 4*c**2 + c + 4. Is b(-3) prime?
True
Suppose 0 = -0*i + i - 851. Is i a prime number?
False
Let u = 22 + -12. Is u a prime number?
False
Is 1 + -1 + (-3)/(18/(-6582)) a prime number?
True
Suppose 5*r - 7*r + 6 = 0. Suppose 2*g = -r*g + 20, -5*p + g + 271 = 0. Is p a prime number?
False
Suppose 0 = -4*i, i - 25 = k - 6*k. Is -1 + (k - 3) + 177 a prime number?
False
Suppose t + 9 = 4*t. Suppose 2*n - 370 = -6*j + 2*j, 3*n + t = 0. Is j a prime number?
False
Suppose 0 = l - n + 3*n - 28, l - 13 = -5*n. Suppose 2*v - l = 3*a, -4*v - 3*a + 14 = -2*v. Is v a composite number?
False
Let y be 324/7 + (-2)/7. Let x = y - 23. Is x a prime number?
True
Let p(f) = 7 + 35*f - 5 - 3. Let g be p(5). Suppose 2*l + 0*v = 2*v + 308, l - g = 5*v. Is l a prime number?
True
Let w(z) = 2*z**2 + z. Let l be w(1). Let y(c) = -2*c**2 - c + 19*c**l + 5*c**3 + 2*c. Is y(1) composite?
False
Let g(u) = 9*u**2 + 7*u + 17. Is g(-7) a composite number?
False
Suppose -23*f = -17*f - 18294. Is f prime?
True
Let l = 0 - 8. Let b(o) = -3*o - 5. Is b(l) prime?
True
Suppose -5*p + 26 = -4*i - 15, 2 = 2*p + 2*i. Let u(n) = n**3 + 3*n**2 + 2*n + 5. Is u(p) composite?
True
Let g = 651 + -450. Is g prime?
False
Suppose -2 = -4*l + 2. Let b be l + -2 + (-12)/2. Let a = 4 - b. Is a a composite number?
False
Let h = -15 - -9. Let s(l) be the third derivative of -5*l**4/24 + 7*l**3/6 - 2*l**2. Is s(h) a prime number?
True
Suppose 50 = 4*x + 5*u - 177, -5*u - 197 = -4*x. Is x a prime number?
True
Let g(t) = 5*t. Let j be g(1). Suppose 6*y - j*y - 3 = 0. Is 1/((-188)/(-62) - y) prime?
True
Suppose 3*n + n - b = -3, -3*n - 8 = 5*b. Let u be (-64)/(2 + n) - -1. Is ((-4)/(-6))/((-3)/u) prime?
False
Suppose 0 = -3*j - 4*o + 3465 + 134, 0 = -5*o + 25. Is j prime?
True
Let f(v) = 153*v + 16. Is f(5) prime?
False
Let x = 129 + -233. Let h be (x/(-6))/(2/24). Is 1/3 + h/6 a prime number?
False
Let l be ((-3)/6)/((-2)/(-20)). Let b = l + 9. Suppose w - 285 = -4*x + b*w, -x + 4*w = -81. Is x a composite number?
True
Let s(m) = -4*m + 13. Let f be s(6). Let b = f - -346. Is b a prime number?
False
Suppose 6*b + 7827 = 9*b. Is b composite?
False
Let h(m) = -149*m**2 - 10*m - 13. Let a(v) = 99*v**2 + 7*v + 9. Let d(j) = -7*a(j) - 5*h(j). Let y(w) be the first derivative of d(w). Is y(2) a prime number?
False
Let m be (-1 + 134)/(-3 - -4). Let r = m - 56. Is r a composite number?
True
Suppose 545 = -5*x + 5*n, -2*x - 3*x - 561 = -n. Let k = 190 + x. Is k a composite number?
True
Let j(t) = 14*t**3 - t**2 - 3*t. Let v be j(-3). Let a = -5 - v. Is a a prime number?
True
Let u = 270 + -379. Let y = -72 - u. Is y prime?
True
Let f be 8/(-44) + 4360/22. Let c be 4/(-10) - (-693)/(-5). Let q = c + f. Is q a composite number?
False
Suppose -9 = 2*m - 5*m. Suppose 2*t - 195 = -m*u + 17, -408 = -4*t + 2*u. Is t prime?
True
Let g = -4 + 57. Suppose 0 = -2*r - 11 + g. Is r prime?
False
Suppose 0 = -9*j + 1031 + 274. Is j a prime number?
False
Let g(p) = p + 207. Let d be g(0). Suppose -y = 80 - d. Is y composite?
False
Suppose -4*a + 17 = -15. Is 3346/a + 3/4 composite?
False
Let h(f) = -f**3 + f - 1. Let g(a) = 14*a**3 - 2*a**2 + 6*a - 6. Let u(t) = g(t) - 5*h(t). Is u(2) a composite number?
True
Let g = 946 + -560. Is g composite?
True
Suppose 3*g - g = 0. Suppose 0*u - u = g. Suppose -4*s + 0*s + 764 = u. Is s composite?
False
Let d = -145 + 356. Is d composite?
False
Let s(h) = 2*h**3 - 10*h**2 - 6*h - 1. Let z be -2 - 30/(-3) - 0. Is s(z) prime?
False
Suppose -4*r + 2 + 10 = 0. Is r composite?
False
Is 14 + 306 - (-1 + 2) a prime number?
False
Let h = 7 + -7. Is h + (0 - -1 - -52) a prime number?
True
Let j(n) = 11*n**2 - n + 5. Let y = 4 - 10. Is j(y) prime?
False
Is 6/(-4)*1146/(-9) composite?
False
Let i = -545 - -2238. Is i composite?
False
Suppose -2*l = -d - 10, 0*d + 5*d - 4*l + 26 = 0. Let i be (-1594)/(-10) + d/5. Suppose -p - i = -4*p. Is p composite?
False
Let r(n) = n**3 + 12*n**2 + 4*n - 4. Suppose -5*g = 5*j + 25, 2*g = -3*g + 5*j - 65. Is r(g) a composite number?
True
Suppose -5*m + 5499 = -3*a + 4*a, m - 1079 = 5*a. Is m a composite number?
True
Suppose 2*h - 179 = s, 4*h + 5*s - 83 = 240. Is h composite?
True
Let z(u) = 2*u**2 + 5*u + 3. Suppose -32 = -0*n - 4*n. Let x be 1*3/(-6)*n. Is z(x) a composite number?
True
Suppose -5*n = -2*j + 2391 + 683, -4*n + 7685 = 5*j. Is j a composite number?
True
Suppose 3*m - 220 = -4*d, -4*m + 138 = 2*d + 28. Is d prime?
False
Suppose a = 3*c + 6 + 26, 0 = 5*a + 3*c - 70. Suppose -4*m - a = -389. Is m composite?
True
Suppose 7*s - 2*s - 565 = 0. Is s prime?
True
Suppose 2*l = -z + 295, 588 + 2 = 2*z + l. Is z a composite number?
True
Let n be -1 + 3 - (-4 - -4). Let q = 4 - n. Let j = 5 - q. Is j a prime number?
True
Let f(i) be the second derivative of -i**5/20 - 5*i**4/12 - i**3 - 7*i**2/2 + i. Suppose -2 = 4*w + 22. Is f(w) a composite number?
True
Let k(c) = -9*c + 8. Is k(-15) a prime number?
False
Suppose 0 = 4*c - 5 + 37. Let w = c + 22. Is w composite?
True
Let h(p) = 29*p + 3. Is h(10) a composite number?
False
Suppose -89 = -3*h + 64. Suppose -a = -0 - h. Is a a composite number?
True
Let y be (-1 + 4)/((-2)/(-2)). Suppose 0 = -c - 0*i - y*i + 70, 2*c = 2*i + 180. Is c prime?
False
Let y(g) = -3*g**3 - 7*g**2 + 8*g + 9. Is y(-10) prime?
False
Let x = -3207 + 5728. Is x prime?
True
Is (12256/(-24))/(6/(-9)) a prime number?
False
Suppose c - 9605 = -5*v, -3*v - 5*c + 7217 - 1454 = 0. Is v a composite number?
True
Let j(o) = -o**3 - 14*o**2 + 15*o - 13. Is j(-16) a composite number?
True
Suppose -5*m = -2*u - 91, u + 5*m = 4 - 12. Let t = -14 - u. Is t a composite number?
False
Let k = -4 - -6. Suppose k*o - o - 34 = 2*w, 4*o = -2*w + 116. Suppose 0 = -2*a - u + o + 11, 0 = 4*a - 4*u - 88. Is a a prime number?
False
Let n(s) = -8*s + 3. Let f(d) = -24*d + 8. Let k(r) = -4*f(r) + 11*n(r). Let x be k(1). Suppose -x = z - 2*z. Is z a composite number?
True
Let u(i) = -i**3 + 11*i**2 - 8*i + 15. Suppose 3*b = -g + 35, -20 = -2*g + 2*b + 2*b. Let p = g - 10. Is u(p) a prime number?
False
Let t(k) = 7*k + 2. Let n be t(2). Suppose -5*u + 5 = 0, -5*u = -2*m + n + 55. Is m a prime number?
False
Let j be (30/(-4))/3*-2. Suppose 3*k + 2*k - 20 = 0. Suppose 3*b - 3*z - 12 = 0, -j*b + k*z + 9 = -13. Is b prime?
|
{
"pile_set_name": "DM Mathematics"
}
|
ivisor of 776 and 3092704?
8
What is the greatest common divisor of 383983890 and 846?
282
What is the highest common factor of 137081690 and 1240?
310
What is the highest common divisor of 2720 and 29728070?
170
Calculate the highest common factor of 791332 and 68.
4
Calculate the greatest common factor of 4067 and 499849.
49
What is the highest common divisor of 39 and 197369107?
13
Calculate the highest common factor of 1014228 and 216.
108
Calculate the highest common factor of 12 and 266511060.
12
What is the greatest common divisor of 11055013 and 12745?
2549
What is the highest common factor of 2191 and 40864654?
313
What is the greatest common divisor of 12712 and 27209128?
1816
What is the highest common factor of 430 and 32013070?
430
Calculate the highest common factor of 11826 and 1077334.
146
Calculate the highest common factor of 18043 and 313.
1
Calculate the greatest common factor of 22 and 713531357.
11
Calculate the highest common divisor of 51268431 and 5385.
1077
Calculate the greatest common divisor of 26311464 and 128.
8
What is the greatest common factor of 8158752 and 40608?
864
What is the highest common factor of 46872 and 24988824?
1512
Calculate the greatest common factor of 3671681 and 1378.
689
Calculate the greatest common factor of 431237 and 22.
1
Calculate the highest common divisor of 43632 and 114332.
404
Calculate the highest common divisor of 18 and 124326816.
6
What is the greatest common factor of 552218 and 153149?
29
Calculate the highest common divisor of 890528 and 71264.
544
Calculate the highest common divisor of 503616 and 34752.
192
What is the greatest common factor of 6988947 and 438?
219
Calculate the greatest common factor of 12090 and 8939346.
2418
What is the greatest common factor of 3049 and 504490589?
3049
What is the highest common factor of 1572 and 299938386?
786
What is the highest common factor of 2904532412 and 148?
148
Calculate the greatest common divisor of 1132 and 52467068.
1132
Calculate the greatest common factor of 119260831 and 17.
17
Calculate the highest common factor of 87 and 87946647.
87
What is the highest common divisor of 94 and 86758757?
47
Calculate the highest common divisor of 121449545 and 63.
7
What is the greatest common divisor of 2317 and 50848?
7
What is the greatest common factor of 259675 and 152139?
611
Calculate the greatest common factor of 3573720 and 193320.
1080
What is the greatest common divisor of 2611428 and 1104?
12
Calculate the highest common factor of 9037945 and 10150.
35
Calculate the highest common divisor of 29 and 44357.
1
Calculate the greatest common divisor of 24 and 344819928.
24
What is the greatest common divisor of 56172 and 3926604?
1812
What is the greatest common factor of 160611957 and 81?
27
What is the greatest common factor of 36680 and 9797228?
3668
What is the highest common factor of 678111215 and 85?
85
What is the greatest common divisor of 4662005 and 1970?
985
Calculate the greatest common divisor of 138 and 5428626.
6
Calculate the highest common factor of 39034285 and 35.
5
Calculate the greatest common factor of 1380054 and 624.
78
What is the greatest common factor of 2424 and 846606?
6
What is the greatest common divisor of 384 and 1285408?
32
Calculate the greatest common divisor of 597116358 and 279.
279
What is the highest common factor of 730 and 112094055?
365
Calculate the highest common divisor of 34906697 and 7.
7
What is the greatest common factor of 100009 and 13466518?
2041
Calculate the greatest common factor of 3046 and 1528.
2
Calculate the highest common divisor of 66 and 167762.
2
Calculate the highest common divisor of 4313247014 and 362.
362
What is the greatest common factor of 15043 and 826751?
307
Calculate the greatest common factor of 677101 and 10997.
1571
What is the greatest common divisor of 30 and 76578060?
30
What is the greatest common divisor of 36 and 39555732?
12
Calculate the highest common divisor of 52 and 7627243.
13
What is the highest common factor of 7095066 and 2?
2
Calculate the greatest common factor of 6527708 and 5808.
484
What is the highest common factor of 648 and 192663846?
162
What is the highest common factor of 1368268239 and 442?
221
Calculate the highest common factor of 897 and 28161453.
69
What is the highest common divisor of 31940 and 1660?
20
What is the greatest common factor of 996 and 4812506?
166
What is the highest common factor of 594 and 13980626?
22
Calculate the greatest common divisor of 3014572 and 362439.
5753
What is the highest common divisor of 106138613 and 7?
7
Calculate the greatest common factor of 147066 and 4728972.
762
Calculate the greatest common factor of 11455506 and 162.
162
Calculate the greatest common divisor of 609168 and 925.
37
Calculate the greatest common factor of 95 and 255566815.
95
What is the highest common divisor of 2 and 18343052?
2
Calculate the greatest common factor of 8930 and 15180530.
470
Calculate the greatest common factor of 1395 and 972346.
31
What is the highest common divisor of 22992 and 516072?
24
Calculate the highest common divisor of 1407863 and 129.
43
Calculate the greatest common divisor of 389204 and 236.
4
Calculate the greatest common divisor of 526836161 and 57.
19
Calculate the greatest common factor of 847017963 and 954.
477
What is the highest common factor of 1572850 and 120682?
166
What is the greatest common divisor of 2399892 and 10956?
132
What is the greatest common divisor of 2114 and 3386138?
14
Calculate the greatest common divisor of 50170 and 14130.
10
What is the highest common factor of 3915650 and 172246?
142
Calculate the highest common divisor of 51714 and 1123317.
117
What is the greatest common divisor of 116501 and 877807?
623
Calculate the greatest common divisor of 1428 and 573468.
84
What is the highest common divisor of 55388 and 68320?
244
Calculate the greatest common divisor of 65961 and 16729664.
2443
What is the highest common factor of 137640 and 90675?
465
Calculate the greatest common factor of 15200 and 446880.
3040
What is the greatest common divisor of 20 and 55776228?
4
Calculate the greatest common factor of 1648607 and 353729.
1277
Calculate the highest common divisor of 1117564 and 10332.
28
Calculate the highest common divisor of 399257 and 4968.
23
Calculate the highest common factor of 2106775 and 611.
47
What is the highest common factor of 4844055 and 13?
1
What is the highest common factor of 4816 and 290780?
28
Calculate the highest common divisor of 207306495 and 440.
55
Calculate the greatest common factor of 1276 and 70554.
22
Calculate the greatest common divisor of 4 and 311527816.
4
What is the greatest common divisor of 2 and 545488374?
2
Calculate the greatest common divisor of 778911 and 812.
203
What is the highest common divisor of 35903 and 822647?
1561
What is the greatest common factor of 1426 and 31746325?
713
What is the greatest common factor of 98 and 1071760634?
98
What is the greatest common factor of 2048 and 3214592?
256
What is the greatest common divisor of 48462960 and 1120?
560
Calculate the highest common factor of 737035 and 435435.
1885
What is the greatest common factor of 8740840 and 320?
40
Calculate the highest common factor of 4427 and 15547206.
19
Calculate the greatest common divisor of 5934 and 1726278.
258
Calculate the greatest common divisor of 66406536 and 96.
24
Calculate the highest common factor of 5372601 and 204852.
1191
Calculate the highest common divisor of 107 and 433590643.
107
What is the highest common divisor of 881864 and 264?
8
Calculate the greatest common factor of 390 and 1731840.
30
What is the highest common divisor of 282154 and 181334?
142
Calculate the greatest common factor of 1184 and 41500384.
1184
Calculate the greatest common factor of 547105671 and 21.
21
What is the highest common divisor of 1993271 and 77?
7
What is the greatest common divisor of 72198 and 153531?
63
Calculate the greatest common factor of 32698980 and 1278.
18
Calculate the highest common factor of 217 and 35763.
7
Calculate the greatest common divisor of 31527703 and 3.
1
Calculate the highest common factor of 2325 and 125023.
31
What is the highest common factor of 176 and 5407984?
16
Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
c6
In base 14, what is 70 + -6116d?
-610dd
In base 13, what is -1b5 - -7845?
7660
In base 7, what is 625 - 321001?
-320043
In base 13, what is 29 + -713034?
-713008
In base 4, what is 1 - -1033212003332?
1033212003333
In base 13, what is -11 - 8a8c481?
-8a8c492
In base 5, what is -14 + -210421014?
-210421033
In base 14, what is 0 - 43d9c53?
-43d9c53
In base 8, what is -110 - 2701247?
-2701357
In base 3, what is 12 + 101221101021122121?
101221101021122210
In base 14, what is 0 - 2b5a0dc?
-2b5a0dc
In base 15, what is -513 - -a7050?
a6a3c
In base 9, what is -7888 - -17227?
8228
In base 2, what is 111 + -1000000010011101111100000?
-1000000010011101111011001
In base 12, what is 5025 + 326?
534b
In base 11, what is 147 + 100230?
100377
In base 4, what is -21 + 213310203230?
213310203203
In base 4, what is 100 + -2003011?
-2002311
In base 2, what is -10100111101110101 + 111?
-10100111101101110
In base 2, what is 101100110010001010 - 11010110?
101100101110110100
In base 10, what is -868 - 393061?
-393929
In base 8, what is 2344310 - 130?
2344160
In base 4, what is 213220 - -3231?
223111
In base 9, what is 302314 - 7103?
284211
In base 16, what is 48e06 + -13?
48df3
In base 2, what is 101111100000101010001100100010 + 1?
101111100000101010001100100011
In base 15, what is -2 + -aa3e506?
-aa3e508
In base 13, what is 1a + -57567ac?
-5756792
In base 9, what is 5 + 5668427?
5668433
In base 6, what is 121032 - -514?
121550
In base 12, what is 6b - 27701?
-27652
In base 3, what is -112020201221 - -111220?
-112020020001
In base 7, what is -22505205 - -13?
-22505162
In base 5, what is 2143203340 + -24?
2143203311
In base 12, what is -129b80 + -157?
-12a117
In base 10, what is 15 + -742389?
-742374
In base 5, what is 12012 - 31043?
-14031
In base 8, what is 1 + 1102147?
1102150
In base 2, what is -1000011010101 - -110001010011100011?
110000010000001110
In base 6, what is 5 + -1350211550?
-1350211541
In base 7, what is -1414013 + -525?
-1414541
In base 6, what is -145430 + -1131505?
-1321335
In base 14, what is 4 - 7508072?
-750806c
In base 7, what is -11565 + -146051?
-160646
In base 11, what is 4 - 114a966a?
-114a9666
In base 5, what is -224344 + 1011224?
231330
In base 12, what is -1942a13 - -4?
-1942a0b
In base 9, what is -7251 + -1745?
-10106
In base 8, what is -2 - -363477400?
363477376
In base 8, what is -452057551 + 10?
-452057541
In base 3, what is -11021 + -122221102211?
-122221121002
In base 3, what is -1220120 + -102121101010?
-102200021200
In base 10, what is 2059815 - 34?
2059781
In base 16, what is c3ede0 + -5?
c3eddb
In base 3, what is 120022202110 - -2?
120022202112
In base 16, what is -124 - 463b6?
-464da
In base 13, what is 4 - -194a92?
194a96
In base 8, what is -2170542 + 142?
-2170400
In base 5, what is 0 - -1101233112?
1101233112
In base 14, what is 6002ca + -7?
6002c3
In base 4, what is 0 - 111222013331?
-111222013331
In base 2, what is 10101 + 110011110010000100100?
110011110010000111001
In base 6, what is 3505151 - -12152?
3521343
In base 4, what is 2201221223 + -110?
2201221113
In base 3, what is -221 - -11101002101011?
11101002100020
In base 5, what is -214044014 - 21?
-214044040
In base 7, what is 4 + -104531512?
-104531505
In base 7, what is -113133060 + -5?
-113133065
In base 14, what is -29c98a + -16?
-29c9a2
In base 8, what is -167717150 + -4?
-167717154
In base 2, what is -101111 + 10000001001111110110?
10000001001111000111
In base 5, what is 22141444420 + -10?
22141444410
In base 4, what is 230121 + -130102?
100013
In base 12, what is 4 - 223144?
-223140
In base 5, what is 12320031 + 104043?
12424124
In base 10, what is 3037957 + 5?
3037962
In base 7, what is 4165635642 + -5?
4165635634
In base 10, what is 214814 + 308?
215122
In base 5, what is 240014101 + 1341?
240020442
In base 7, what is 242 + 10422?
10664
In base 9, what is 262 - -35221?
35483
In base 12, what is -155a9829a + 1?
-155a98299
In base 9, what is 4804 - 21743?
-15838
In base 7, what is 13161120 - -1?
13161121
In base 13, what is -307 + -23c8?
-2702
In base 11, what is -17 - -129058?
129041
In base 11, what is -25a523 - -8?
-25a516
In base 14, what is 0 + 72c6cb?
72c6cb
In base 2, what is 100001011 + 100100000011011?
100100100100110
In base 6, what is -12452331553 + 3?
-12452331550
In base 6, what is 2 - 153055434?
-153055432
In base 12, what is -385b23 - 1?
-385b24
In base 13, what is 1 - -30799840?
30799841
In base 13, what is -20662 + -21bb?
-22850
In base 8, what is -2 + 13043371?
13043367
In base 3, what is 11210122011 + 122001?
11211021012
In base 15, what is 20 - 1db9ce?
-1db9ae
In base 12, what is -1 - -416788?
416787
In base 8, what is 14510 + 303?
15013
In base 7, what is -652104 + 624?
-651150
In base 10, what is 10 - 9903438?
-9903428
In base 13, what is 2 - -1478c7c8?
1478c7ca
In base 11, what is -12567aa - -2?
-12567a8
In base 4, what is 110002 + 1223122?
1333130
In base 10, what is -3 + 2608015?
2608012
In base 12, what is -6188 + 4213?
-1b75
In base 3, what is -12 - -10022212221011021?
10022212221011002
In base 14, what is -1 + -112c483?
-112c484
In base 4, what is 133101213102 + -3?
133101213033
In base 15, what is 10306c - a?
103062
In base 2, what is -1000000110 + 10001000011011000?
10000111011010010
In base 10, what is -4321 - 206?
-4527
In base 10, what is 70126129 - -6?
70126135
In base 10, what is -5330258 - 5?
-5330263
In base 9, what is 807586 - -347?
808044
In base 3, what is 212001101001012 - 1?
212001101001011
In base 15, what is -2d5bb4e + 4?
-2d5bb4a
In base 5, what is -321 - 3334414?
-3340240
In base 2, what is 1001011100010110 - 1000011000?
1001010011111110
In base 13, what is 5 + 14098988?
14098990
In base 7, what is 15630114 + -2?
15630112
In base 15, what is -38280 + -48?
-382c8
In base 9, what is -24 + 14607?
14573
In base 10, what is -4 + -1528755?
-1528759
In base 6, what is -4 + 324243014?
324243010
In base 9, what is 2561 - -8165?
11736
In base 8, what is -17370703 - -4?
-17370677
In base 15, what is 411532 + 3?
411535
In base 3, what is 20011200001 + -22012220?
12212110011
In base 13, what is -28 + 276a333?
276a308
In base 8, what is -155443 - 474?
-156137
In base 7, what is -65 - 16044420?
-16044515
In base 7, what is 13021041 - 216?
13020522
In base 6, what is 21314200 - 45?
21314111
In base 3, what is -10002101200200 - 102?
-10002101201002
In base 14, what is -73 + -451dc?
-45271
In base 5, what is -2422 + -340110?
-343032
In base 16, what is -1ee - 45a1?
-478f
In base 8, what is -1206775 - -204?
-1206571
In base 2, what is 0 - 10000010010011100010001?
-10000010010011100010001
In base 8, what is 764321 - -1?
764322
In base 13, what is 386 + -a084?
-99cb
In base 5, what is -4 - -1431113340?
1431113331
In base 16, what is 3 - -5146b?
5146e
In base 16, what is 30ce8 - 1d?
30ccb
In base 11, what is 5 - -396849?
396853
In base 10, what is 60906526 - 1?
60906525
In base 11, what is -38939a + 80?
-38931a
In base 6, what is 24141 - 3122?
21015
In base 13, what is 453 - -41715?
41b68
In base 15, what is 39d + -1cb26?
-1c778
In base 9, what is -17156 - 6783?
-25050
In base 6, what is 20 + -51133014?
-51132554
In base 5, what is 11011341032 - 0?
11011341032
In base 16, what is -36f2 - d61?
-4453
In base 3, what is -210 - 20022012100?
-20022020010
In base 16, what is -5 + -7b68d0?
-7b68d5
In base 16, what is 1a9a033 - -15?
1a9a048
In base 8, what is -140610 - -4436?
-134152
In base 9, what is -3 - -12143145?
12143142
In base 13, what is 6b75 - 3357?
381b
In base 4, what is -131001001322 + 11?
-131001001311
In base 11, what is -79 + 1031315?
1031247
In base 6, what is 12 + -100301421?
-100301405
In base 11, what is -189 - 170a7?
-17285
In base 5, what is 113 + 2230403332?
2230404000
In base 9, what is 648235 + -345?
647780
In base 12, what is -36b49 + -24?
-36b71
In base 2, what is 0 + 11101000101111100011001?
11101000101111100011001
In base 14, what is 222 - 90da?
-8cb8
In base 3, what is 22102120201 - -12100?
22102210001
In base 14, what is 12c + -16d33?
-16c05
In base 15, what is b83b - -3630?
ee6b
In base 5, what is -331413101322 + -1?
-331413101323
In base 11, what is -20 + 431696?
431676
In base 2, what is -1010000000 + 10001100011?
111100011
In base 12, what is -a305b85 + 0?
-a305b85
In base 3, what is 12 + 121100122201010
|
{
"pile_set_name": "DM Mathematics"
}
|
l + 19*l + 92, -3*l + 66 = 3*s. Suppose o = 4*h + 79, 2*o + 31 = 4*h + 113. Let a = h + l. Give g(a).
6
Let k = -52099 - -52104. Let d(p) = 4*p + 5 - 2*p - 15. Determine d(k).
0
Suppose -q = -3*q - 2. Let t(l) = l**2 + 2*l - 14. Let o be t(4). Let k(y) = -17 + 6 + o - 3*y. Calculate k(q).
2
Suppose 2*i - 26 = 5*z + 48, -7 = i + 3*z. Let h(v) = -5*v + 57. Determine h(i).
-28
Let l(j) be the second derivative of 3*j**4/8 - 3*j**3/2 - 37*j**2 + 18*j - 2. Let x(t) be the first derivative of l(t). Give x(6).
45
Let c(z) be the third derivative of z**5/60 + 9*z**4/8 + 2*z**3 - 3996*z**2. Give c(-25).
-38
Suppose 0 = 2*f - 0*f - 3*j - 50, -3*f - 2*j + 49 = 0. Let r = 20 - f. Suppose -8 = -2*m, n = -4*m + 12 - r. Let w(g) = g**2 + 6*g + 7. What is w(n)?
2
Let y(j) = j**2 + 8*j - 101. Suppose 27*v + 3*t = 26*v + 28, 0 = 3*v + 4*t - 49. Give y(v).
4
Suppose -3*g = 30 - 48. Let t(x) = 10*x + 2. Let m(v) = -13*v - 4. Let j(a) = 3*m(a) + 4*t(a). Determine j(g).
2
Let r = 1 - -1. Let p(f) = -f - 4. Let b(m) = -3*m - 7. Let y(l) = r*b(l) - 5*p(l). Let j be 10/((-12 - -5) + 9). Give y(j).
1
Let m(l) be the first derivative of -26*l**3/3 - l**2/2 + 1. Suppose -11*v + 2*z = -14*v - 1, 0 = -2*v - z. Determine m(v).
-27
Suppose 0 = 50*r - 78*r + 980. Let y(f) = f**3 - 34*f**2 - 35*f + 2. Let i be y(r). Let z(c) = -2*c**3 + 4*c**2 - 3*c + 1. Determine z(i).
-5
Let w(u) = -u**2 - 9. Suppose n + 5 = o, -3*o - 2*o + 2*n = -16. Suppose -o + 2 = -i. What is w(i)?
-9
Let u(t) = t**2 - 10 + 5*t + 6*t - 4*t. Let g(s) = s**3 - 5*s**2 - 8*s + 21. Let x be g(6). Let r be (x/(-5))/(3/15). What is u(r)?
8
Suppose c + 278 = 276. Let m(v) = v**2 - 2*v**2 - 72*v**3 + 0 + 2 + 73*v**3. Give m(c).
-10
Let u(f) = 4*f - 5*f + 7*f. Let w be (2/4)/(5/(-130)*-13). Calculate u(w).
6
Suppose 26*h - 18*h - 104 = 0. Let j(w) = 11*w - h*w + 4*w - 11. Calculate j(8).
5
Suppose -39*o - 74 = -36*o + 2*t, 98 = -4*o - 2*t. Let u(j) = -j**3 - 23*j**2 + 24*j + 13. Calculate u(o).
13
Let v(n) = -51082*n**2 + 51081*n**2 + 4 - 1. Give v(-3).
-6
Let a(i) = -2*i + 4*i + 2*i + 11 + 3*i. Let l be (-3 - (-5)/2)*18. Let b(v) = 3*v + 5. Let d(q) = l*b(q) + 4*a(q). Determine d(-3).
-4
Let u(n) = 388 - 5*n - 169 - 165. Determine u(-11).
109
Let v(r) = 56*r**2 - 25*r + 54. Let g(b) = -78*b**2 + 38*b - 82. Let k(d) = -5*g(d) - 7*v(d). Determine k(3).
-31
Let g(p) be the second derivative of -10*p**3/3 + 3*p**2 + 3056*p. Give g(2).
-34
Let j(v) = -v**2 + 11*v - 7. Suppose -4*o + 1261 = 4*u - 591, -3 = -o. Let i = u - 450. What is j(i)?
3
Let p(f) = -f**3 - 11*f**2 + f + 9. Suppose 90*h - 84*h = 84. Let x be (-158)/h + 90/315. What is p(x)?
-2
Let u(i) be the second derivative of i**4/12 - 5*i**3/2 - 4*i**2 + 573*i. Determine u(16).
8
Let o(k) = 4*k**3 + 3*k**2 + 15*k + 40. Let d be o(-2). Let y(c) = c**3 + 10*c**2 + 3*c + 31. Calculate y(d).
1
Let l = 73 + -69. Let i be (-3)/(-3) - (-5 - -3). Let d(x) = x - 2 + i*x - 7*x. Calculate d(l).
-14
Let i(q) = q**3 - 5*q**2 + 13*q + 11. Let s = 720 - 714. Calculate i(s).
125
Let d(l) = 2*l + 3. Suppose 3*f - 7*f = 920. Let x = -140 - f. Suppose 0 = -3*c + x - 99. Determine d(c).
-3
Let c(f) = -8*f**2 - 24*f. Let o(h) = -2*h**3 - 15*h**2 + 2*h + 12. Let v be o(1). Give c(v).
0
Let k(n) = -n**2 + 22*n - 84. Let o be k(7). Suppose 13*r - 56 = o*r. Let p(q) = q**3 + 6*q**2 - 3*q + 10. Determine p(r).
-18
Let b(c) = -2*c - 34. Let y(s) = -15*s + 1193. Let p be y(80). Determine b(p).
-20
Let g be ((-20)/15)/(32/6 - 6). Let a(i) be the second derivative of -1/6*i**3 + 15*i - 1/2*i**g + 0 + 1/12*i**4. Calculate a(2).
1
Let k = 1441 + -582. Let h = 864 - k. Let j(u) = -u + 9. What is j(h)?
4
Let u = 5726 - 5724. Let n(b) be the third derivative of -1/120*b**6 + 0 + 0*b - 1/6*b**3 + 0*b**5 + 1/8*b**4 + 10*b**u. Determine n(2).
-3
Let q = -3350 - -3361. Let x(z) = -z**2 + 5*z - 1. Calculate x(q).
-67
Let a(z) be the first derivative of -z**3/3 + 8*z**2 - 24*z + 2585. Calculate a(2).
4
Let p be ((-1)/(-1) - 6)*(-46 + 3). Let s = p - 205. Let y(b) = b**3 - 10*b**2 - b + 2. Give y(s).
-8
Let z(t) = t**3 + 2*t**2 - t - 4. Let r(o) = o**3 - 3*o**2 - 17*o - 16. Let m(p) = -r(p) + 2*z(p). What is m(-4)?
-4
Let s(j) = 11*j**3 + 13*j**2 + 17*j + 5. Let w(y) = 2*y**3 + y**2 + 4*y. Let x(k) = -s(k) + 5*w(k). Calculate x(-8).
-29
Suppose -5*y + 30 = 0, 3*n = 4*y + 26 - 29. Let p(w) = 3*w - 14. Calculate p(n).
7
Let d(n) be the second derivative of n**3 - 50*n**2 + 145*n + 5. Determine d(10).
-40
Let z(h) = h**2 + h. Let p be z(1). Let d(u) be the second derivative of 1/2*u**4 + 3 - 132*u + 1/2*u**2 - 1/3*u**3. Determine d(p).
21
Let i(f) be the third derivative of -f**4/8 + 5*f**3 - 5*f**2 - 26*f. Determine i(-9).
57
Let l(o) = -o**2 - o + 1. Let d(a) = a**3 + a**2 - 5*a - 74. Let q be d(0). Let f = -73 - q. Give l(f).
-1
Let i(g) be the second derivative of -g**3/6 + 13*g**2/2 + 9*g - 1. Let w = -3 + 3. What is i(w)?
13
Let g be (-161 - -131)/((-6)/(-4)). Let l(r) = r**3 + 20*r**2 - 2*r - 40. Calculate l(g).
0
Let l(r) = -r**3 - 8*r**2 - 9*r - 6. Let f(s) = 4*s + 74. Let h be f(-17). Suppose -3*d + 2*d = h. Determine l(d).
-24
Let w(u) = -2*u**2 - 16*u. Let i be w(-10). Let t = -37 - i. Let v(g) = -4*g - 1. Let r(b) = 7*b + 1. Let s(f) = t*r(f) + 5*v(f). Determine s(2).
0
Suppose -6*l = -2*l + 32. Let j(t) = 4*t + 52. Let d(v) = 11*v + 138. Let f(y) = -3*d(y) + 8*j(y). Determine f(l).
10
Let m(j) be the third derivative of j**6/60 - 19*j**5/20 - 9*j**4/8 - 59*j**3/6 - 5*j**2 - 79. Determine m(29).
-1
Let j be ((-61)/610)/(2/(-20)). Let y(a) = 80*a - 83. Determine y(j).
-3
Let a(g) be the second derivative of g**3/2 - 47*g**2/2 - 196*g + 4. Give a(11).
-14
Let v(p) = -p - 3. Let y be v(-4). Let h(r) = -r**2. Let x be h(y). Let f(o) be the first derivative of o**2/2 - 2081. Determine f(x).
-1
Suppose 0*a + 33 = -3*a. Let z(l) = -23*l - 27*l - 1 + 89*l - 22*l - 18*l. Determine z(a).
10
Let p(j) = 9*j - 4*j + 10697 + 10687 - 21474. Calculate p(17).
-5
Suppose -11*l - 182 = 7*l + 8*l. Let t(o) = -o**3 - 8*o**2 - 6*o - 2. Determine t(l).
-9
Let f(v) = 14*v**3 + 2*v**2 + v. Let z be (3 + -5)/(2/238) - -5. Let d = 232 + z. Calculate f(d).
-13
Let v(j) = -22*j**3 - 4*j**2 - 5*j. Let d(k) = -19*k**3 - 3*k**2 - 4*k. Let u(z) = 7*d(z) - 6*v(z). Calculate u(4).
-8
Let f = 2 + 0. Let y(q) be the first derivative of 5*q**3/3 + 2*q + 10891. Determine y(f).
22
Let u(r) = 3*r**3 + 82*r**2 + 177*r - 7. Let f(j) = j**3 + 28*j**2 + 64*j - 2. Let b(d) = 11*f(d) - 4*u(d). Calculate b(-20).
86
Let g(t) = -t - 4. Let q(l) = l + 6. Let u be q(-6). Suppose u = 4*f - 0*f. Give g(f).
-4
Let j(x) = x**2 - 6*x - 1. Suppose 0 = -5*h + 2*r + 68, 2*r + 20 = h - 0*r. Let t be h/(4 - (-44)/(-10)). Let i be 3/(t/4) + 594/110. Give j(i).
-6
Suppose 2*g + 1 = -5*l, -105 + 120 = -5*l. Let s(r) = r + 1. Let f(t) = 5*t + 19. Let n(u) = f(u) - 6*s(u). Calculate n(g).
6
Let a(q) be the first derivative of -11 - 1/2*q**2 - 15*q + 0*q**3 + 2/5*q**5 + 1/6*q**4. Let o(d) be the first derivative of a(d). What is o(1)?
9
Let t(p) = 2*p**3 + 9*p + 5. Let q(i) be the first derivative of i**4/4 + i**3/3 + 4*i**2 + 3*i - 18. Let o(m) = 3*q(m) - 2*t(m). Calculate o(5).
-21
Let z(l) be the second derivative of l**5/20 + 3*l**4/2 + l**3/2 + 15*l**2 + 6*l + 32. Give z(-18).
-24
Let j = -378 - -359. Let p(r) = r**3 + 18*r**2 - 20*r + 8. Calculate p(j).
27
Suppose 21 = -5*b + 2*b. Suppose n - 5*v + 3 = 0, 2*v - 26 = -20. Let k(j) = n - 16 - j + 4. Calculate k(b).
7
Suppose 9*d - 346 = 95. Suppose 0 = -x + 5*k + 46, -4*x - 5*k + 184 = -0*k. Suppose d*q = x*q. Let a(t) = -t**3 + t**2 - 10. Determine a(q).
-10
Let s be (4/6)/((-9)/(-27)). Let q be (4/((-32)/(-10)))/((-3)/(-12)). Let i(m) = -11*m - 11. Let f(d) = -4*d - 5. Let v(p) = q*f(p) - 2*i(p). Calculate v(s).
1
Suppose -111*y = 110*y - 1105. Let n(i) be the second derivative of i**5/20 - i**4/3 - 5*i**3/6 + 3*i**2 + 17*i. What is n(y)?
6
Let a(j) be the second derivative of -4 - 9/2*j**2 - 1/12*j**4 + 3/2*j**3 + 12*j. Suppose 5*i = 17 + 23. Give a(i).
-1
Suppose 3*s = -23 + 11, 14 = -5*g + 4*s. Let i(t) = -t**2 - 2*t + 17. Calculate i(g).
-7
Let z = -43 - -73. Let j = z + -29. Let d(w) = -3 - 2 - j + 2*w. Calculate d(6).
6
Let k(s) = -s**2 + 19*s - 81. Let x be (14/(-7) - -8) + 0/2. Determine k
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 0 = f + 5*p + 10, -f - 70 = -4*f + 5*p. Let q be (-12)/f*(-135)/(-18). Determine v(q).
-9
Let r(s) = -45*s + 125. Let t(w) = -28*w + 81. Let i(v) = 5*r(v) - 8*t(v). Determine i(22).
-45
Let v(m) = m**3 - 2*m**2 + 12*m - 37. Suppose 0 = -4*w - 16 + 44. Let x be v(w). Let p(z) = 1 + x*z - 144*z - 144*z. Give p(-1).
-3
Let c = -2776 - -2777. Let x(u) = -2*u - 1. Let s(p) = -p + 5. Let q(o) = o - 6. Let v(j) = -5*q(j) - 6*s(j). Let g(i) = -5*v(i) + x(i). What is g(c)?
-8
Let y(h) = -8*h - 183. Let l(z) = -z - 38. Let a(b) = 5*l(b) - y(b). Give a(12).
29
Let t(q) = 81264 - 6*q - 40643 - 7*q - 40649. Give t(-8).
76
Let c(o) = -422 + 149 + 141 + 150 - 5*o. Determine c(8).
-22
Let y(x) = 3*x + 135. Let q = -4614 + 4586. What is y(q)?
51
Let g be (-462)/(-119) + (-6)/(-51). Suppose 4 = 2*c - 2*x - 0, -g*x - 12 = -5*c. Suppose -5*n = c*y - 34, 0*n = 2*n + 2*y - 14. Let z(d) = d - 2. What is z(n)?
4
Suppose -n + 497*s - 496*s = 2, -2*s - 17 = 5*n. Let d(y) be the first derivative of -y**3/3 - y**2 + 4*y - 1. Give d(n).
1
Suppose 2*f - 20 = -8*f. Let c be ((-4)/16)/((-2)/(18 - f)). Let r(y) = -4*y**2 + 4*y**2 - 3 + y**c + 3*y. What is r(-4)?
1
Let r(u) = -u**2 + 12*u + 1. Let i = -498 + 327. Let v = 184 + i. Calculate r(v).
-12
Let f(d) = -1922*d + 959*d + 966*d + 15 - 7. Calculate f(-4).
-4
Let m(g) = g**3 + 17*g**2 + 65*g + 54. Let v be m(-12). Let t(z) = -z**3 - 5*z**2 + 7*z + 13. Determine t(v).
7
Let n(f) be the first derivative of -1/2*f**2 - 287 - 22*f. Let b be 60/9*3/(-2). Determine n(b).
-12
Let a(y) = -15*y - 12. Suppose 227*v - 175*v - 260 = 0. Determine a(v).
-87
Let f(x) = 5*x + 4*x - 5*x + 14 - x**2 - 5*x + 13*x. What is f(11)?
25
Let x(q) = -3*q**2 + 20*q - 36. Suppose 3*l - 9*l - 13*l + 95 = 0. Determine x(l).
-11
Let m(d) be the third derivative of -4*d**5/15 + d**4/6 + d**3/2 - 2898*d**2. Determine m(-1).
-17
Let c(v) = v**2 - 29*v - 261. Let n be c(36). Let b(o) = o**3 + 10*o**2 + 9*o + 3. Give b(n).
3
Let t(w) = -w**2 + 12*w. Let n be t(10). Let m(s) = -s**2 + 24*s - 74. Let i be m(n). Let x(q) = -q**3 + 5*q**2 + 7*q - 6. Give x(i).
0
Let z = -20 - -22. Suppose 16 = v - 2*d - 0, -3*v + 36 = -z*d. Let i(k) = -k + 12. What is i(v)?
2
Suppose -b = 14 - 4. Let v(l) = 7*l + 216. Let f(j) = 16*j + 488. Let w(m) = -4*f(m) + 9*v(m). Calculate w(b).
2
Let s(n) be the third derivative of 0*n - 1 + 1/3*n**4 + 1/60*n**5 + 25*n**2 - 7/6*n**3. Calculate s(-9).
2
Let r(j) = -7*j**2 + 139*j + 172. Let k be r(21). Let n(z) = 4*z**2 + 3*z - 4. Determine n(k).
72
Let y(i) = -10*i**2 - 2 - i**3 + 47797*i - 12 - 47811*i. Determine y(-7).
-63
Let c(g) = 69*g**3 - 151*g**3 + 80*g**3 + 6 + 48*g - 8*g + 14*g**2 + 24*g**2. Calculate c(20).
6
Let a(f) = 2*f**2 + f. Suppose -14*w - 33 = 9. Let u(m) = 8*m**2 + 2*m - 3. Let g(y) = w*a(y) + u(y). Let i = 13 - 10. Give g(i).
12
Let a(x) = 14*x + 144. Let p be a(-6). Let v(f) = f**2 + p - f + 74 - 148. Determine v(0).
-14
Let i(f) = -2*f**2 + 3*f - 1. Let c(q) = -4*q + 207. Let r be c(41). Let u = r + -40. Calculate i(u).
-10
Let d = -42 - -81. Let x(r) = 11*r - d*r + 6 + 14*r - 6*r**2 - r**3 + 15*r. Suppose 2*u + 0*u = -12. Calculate x(u).
0
Suppose -12 = -35*p + 33*p. Let w(z) be the second derivative of z**5/20 - z**4/2 + z**3/3 - 9*z**2/2 + 41*z. Calculate w(p).
3
Let d(k) = -4*k**2 - 50*k - 11. Let g be d(-12). Suppose g*i = -21*i - 204. Let c(t) = -t**2 - 3*t + 7. Calculate c(i).
-11
Let u(c) = 0*c**2 + 14*c + 2*c**2 + 31 + 7*c + 13*c. Let v be u(-16). Let x(k) be the first derivative of -2*k**3/3 - k**2/2 - k + 2. Calculate x(v).
-2
Let b(v) = 8*v**2 - 12*v + 23. Let s(i) = -3*i**2 + 4*i - 8. Suppose 0 = -5*w - 433 + 1593. Let x be w/56 + (-2)/14. Let q(r) = x*b(r) + 11*s(r). Give q(-7).
-17
Let q(i) = -i**2 + 7*i + 35. Suppose 9*s = s + 88. Calculate q(s).
-9
Let b(g) = 2*g - 31. Let a = -6019 - -6042. Determine b(a).
15
Let g(z) be the first derivative of -z**2 - 2*z - 7. Let v = -4 + -36. Let j be v/(-12) + 4/6. Give g(j).
-10
Let y(a) = 3*a + 16. Suppose -17 = -2*c - 27. Let r be y(c). Let v(s) = -s**3 - s**2 + r + 7 - 6 + s. Give v(-2).
4
Let a = 1 - -6. Let t(o) = -4*o - 21. Let c(k) be the second derivative of -k**3/6 - k**2 - 63*k. Let m(f) = 6*c(f) - t(f). Determine m(a).
-5
Let o(k) = k**3 - 3*k**2 - 3*k + 6. Suppose 33*a = 29*a + 1512. Let w be (-2 + (-19)/(-3))/((-21)/a). Let h be w/(-21) + (-6)/(-21). Determine o(h).
10
Suppose -4*j - 5*v = -45, -2*v + 5*v - 15 = 0. Let p(c) = 3 + j + 21*c - 7. Suppose 0 = -70*l - 55 - 15. Determine p(l).
-20
Let l(s) be the second derivative of s**5/20 + 11*s**4/12 + s**3/3 + 13*s**2/2 - 4490*s. Determine l(-11).
-9
Let z(w) be the second derivative of -w**3/3 + 9*w**2/2 - 313*w. What is z(-9)?
27
Let q(j) = -j**2 - 4*j + 62. Let i(z) = z**3 - 43*z**2 + 332*z - 75. Let n be i(33). Calculate q(n).
17
Let a(y) = y**2 + 9*y - 17. Let g(b) = b**3 + 26*b**2 + 149*b + 82. Let i be g(-18). Give a(i).
-25
Suppose 0*x = 2*i - x - 5, 4*x + 9 = -3*i. Let u(h) = 10*h**2 - 56*h - 7. Let g(k) = 6*k**2 - 31*k - 4. Let s(a) = -9*g(a) + 5*u(a). Give s(i).
-4
Let h(l) = -17*l - 4. Let a(u) = -14*u - 2. Let q(g) = 6*a(g) - 4*h(g). Give q(2).
-28
Let n(t) be the first derivative of -t**3/3 + 12*t**2 + 35*t - 227. Determine n(24).
35
Let s(y) = 652 - 2201 - 15*y + 685 + 736. Give s(-8).
-8
Let i(h) = -4. Let y(m) = m - 11. Let u be 64/32*(-8)/2. Let b(w) = u*i(w) + 3*y(w). Give b(-5).
-16
Let w = -206 + 208. Let f be (-11 - (-6 + -9))*w*1. Let p(j) = -j**3 + 9*j**2 - 8*j - 11. Calculate p(f).
-11
Let l(y) be the third derivative of -y**5/60 + y**4/24 - 25*y**3/6 - 1530*y**2 + 2*y + 2. Suppose -5*r + i + 0*i = 0, 0 = -r + i. Calculate l(r).
-25
Let h(b) = b - 12. Let k = -243 - -342. Let r = k - 87. What is h(r)?
0
Let g = -312 + 327. Let s(i) = 10*i - 14*i + g - 13. What is s(-3)?
14
Let d(g) be the first derivative of -1/2*g**2 - 108 - 6*g. What is d(-9)?
3
Let j(h) = 11*h**2 + 34*h + 34. Let v(r) = 2*r**2 + 2*r + 4. Let f(m) = -j(m) + 5*v(m). Calculate f(-23).
9
Let h(f) = -f**3 - 8*f**2 - 75*f - 243. Let s be h(-4). Let x(k) = -k**2 - 3*k + 15. What is x(s)?
-13
Let x be (8/18)/((-1030)/309*(-1)/(-15)). Let a(g) = 106*g + 211. Give a(x).
-1
Let m(o) be the first derivative of -o**2/2 - 4*o - 113. Let d(r) = 2. Let a(z) = 5*d(z) + m(z). Give a(4).
2
Suppose 4*w = 4*q - 136, -4*w - 2*q + 0*q - 136 = 0. Let n = w - -45. Suppose -4*b + n + 1 = -r, 5*r = 3*b - 26. Let s(h) = 3*h**2 - h. What is s(b)?
10
Let q = 65 + -23. Let p = -37 + q. Suppose 4*y = 3*l - 31, -y = -p*l + 5 + 24. Let n(v) = -v**3 - 4*v**2 - 2*v + 2. Give n(y).
10
Let y(h) = 373*h + 9. Let z(u) = -995*u - 25. Let g(c) = 8*y(c) + 3*z(c). Give g(-8).
5
Let l(s) = 3*s - 2. Let p be l(4). Let i(h) = -5*h - p*h**2 + 6 - 10*h**2 + 21*h**2. Give i(5).
6
Let q(k) = -31*k + 100. Let o be q(4). Let s be 36/(-42)*84/o. Let g(w) = -w**3 + 4*w**2 - 3*w - 4. Determine g(s).
-4
Let l(g) = -g**3 + g**2 + 14*g + 7. Let j = 38246 + -38249. Give l(j).
1
Let o(y) = -6*y - 10. Let a be -1*(-15)/(-10)*(-6)/(-9). Let r(u) = u. Let z(i) = a*o(i) - 8*r(i). Give z(6).
-2
Suppose -5*p + 14 = -4*b, 0 = 2*p - 3*p + 4*b + 6. Let m(k) = 79*k - 40*k + 4 + 3*k**p - 34*k. Determine m(-2).
6
Suppose -3*s - 24 = -2*w - 5, w = 5. Let t(p) = 8*p**2 - 15*p**2 - p + 1 + 8*p**2. Calculate t(s).
13
Let k(f) be the second derivative of -5*f**3 + 59*f**2/2 + 22*f + 6. Determine k(2).
-1
Let k(l) = -21*l + 1. Let n(g) = 5*g**2 + 88*g. Let r(x) = 4*k(x) + n(x). Calculate r(-1).
5
Let v be ((-375)/225)/((-65)/15 + 4). Let g(j) = -j**3 + 6*j**2 - 12*j + 29. Calculate g(v).
-6
Let t(b) be the first derivative of -b**3/3 + 4*b**2 - 7*b + 1. Suppose -70*y = -72*y + 6, -4*i + y + 21 = 0. Let l be (1 + 1)/(i/21). Determine t(l).
0
Let y(x) = 102 + 0 - 1 + 53 - 21*x + 151. Calculate y(14).
11
Suppose 5*p - 1 = 3*p + 5*i, 0 = -i - 1. Let b(k) be the third derivative of -8*k**2 - 1/12*k**4 - 1/60*k**5 + 1/120*k**6 + 0*k - 1/6*k**3 + 4. Determine b(p).
-9
Suppose 2*f - 18 = -f. Let d = -9092 - -9094. Let t(m) = -d + 3 + f*m + 10 + m**2 - 5. Give t(-6).
6
Let z(a) = 45*a + 952. Let s be z(-21). Let v(u) = 13*u - 87. Calculate v(s).
4
Let j(v) = -16*v - 116. Let l = -4250 - -4243. What is j(l)?
-4
Let v(x) = -8*x**3 - 8*x**2 - 66*x + 5. Let a(r) = -7*r**3 - 7*r**2
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5 - 21 = 0, -2*c = -o + 7 for c.
-5
Solve 5*l - 42 = o - 31, 0 = 2*o - 3*l + 8 for o.
-1
Solve -4*w - 19*l = -15*l - 28, -9*l = -2*w - 107 for w.
-4
Solve -u = 4*s - 31 + 9, 0 = -4*u + 2*s - 2 for u.
2
Solve 5*a + 4*v + 20 = 0, 2*a = -4*v - 2202 + 2182 for a.
0
Solve 3*j - 83*k + 88*k = -42, -5*j = -4*k - 4 for j.
-4
Solve 2*j - 1411 + 1409 = -4*o, -4*o - j - 3 = 0 for o.
-2
Solve -5*y - r - 132 + 148 = 0, 0 = 5*y + 5*r - 20 for y.
3
Solve 27*o + 5 = 32*o, 3*o = -3*q + 4*o + 5 for q.
2
Solve 7*x = -3*b + 2*x + 19, 19 = -2*b + 3*x for b.
-2
Solve 83 = 3*k + 4*t + 92, -3*k - 13*t = -18 for k.
-7
Solve -10*u - 7*u + 16*u + 56 = 10*v, -3*u + 6 = 3*v for v.
6
Solve x = f - 1, 2*f + 5*x = 126 - 124 for f.
1
Solve -4*c = 16, 0 = 1030*s - 1033*s + 2*c + 17 for s.
3
Solve 66*j - o = 62*j + 10, -15 = -j - o for j.
5
Solve 5*o + 516*q - 511*q = 5, 2*o + 6 = -4*q for o.
5
Solve -168*r + 170*r = -a - 3*a - 14, 28*a = 5*r - 79 for r.
-1
Solve 4*o + 2*x = -10, -8*o + 2*x + 14 = -10*o for o.
2
Solve -x = -2*x - 1, 2*y - 34 = -2*x - 28 for y.
4
Solve -5*p = -7*i - 38, 0 = 632*i - 631*i - 2*p - 1 for i.
-9
Solve 0 = -3*o - 5*i + 526 - 544, 2*o = -3*i - 11 for o.
-1
Solve 0 = r - 7 - 8, 13*r = -v + 197 for v.
2
Solve 6*t - 3*x - 33 = 0, -18 + 16 = 2*x for t.
5
Solve 3*p - 38 = 3*g - 53, -6*p = -g + 5 for p.
0
Solve 0 = -5*o + t + 8, -3*o - 23*t = -19*t - 14 for o.
2
Solve 355*k = -5*r + 359*k + 47, -10 = -2*r + 6*k for r.
11
Solve -5 = -4*z + 4*a - 29, 0 = -22*z + 7*z + 2*a - 64 for z.
-4
Solve 0 = n - 3, -3*r + 5*n + 5*n = 21 for r.
3
Solve 2*z + 3*z - 2 = -8*b + 6*b - 46, -12 = -4*b for z.
-10
Solve 0 = 2*z + 22969*o - 22967*o + 20, 3*z + 4*o + 35 = 0 for z.
-5
Solve 9 = 3*h - 5*h + 3*t, -12 = -2*h - 4*t for h.
0
Solve 0 = 20*b - 19*b + 2*x - 11, 0 = 3*b - 5*x for b.
5
Solve 178*q - 2*x - 39 = 177*q, 2*q + 2*x = -30 for q.
3
Solve q - 496*o = -492*o + 13, 3*o = -5*q - 27 for q.
-3
Solve 4*o = -34*d + 204, -9 = -5*d - 5 + 26 for o.
0
Solve 4*b - 4 = y + 3*y, -5*b = 15 for y.
-4
Solve -u + 14 = 5*y, 1049*y + 22 = 1050*y + 5*u for y.
2
Solve 0 = -4*v - 5*h + 21, 9*v - 1809*h = -1812*h + 6 for v.
-1
Solve 14*h + 4*d = 10*h + 3*h - 7, 15*h - 5 = -5*d for h.
1
Solve -4872 + 4878 = 11*f + m, 0 = -4*f + m - 6 for f.
0
Solve 6 = -830*u + 833*u - 3*s, -u + 4*s - 10 = 0 for u.
6
Solve 4323*b - 2*l = 4321*b + 20, -b - 5*l + 4 = 0 for b.
9
Solve -6 + 1 + 23 = 5*b + q, 0 = -2*q - 14 for b.
5
Solve 3*o - 6*j + 24 = 0, -5*j - 4116 = -4126 for o.
-4
Solve 51*n - 46*n = -3*t + 28, 13*t - 28 = -3*n for n.
5
Solve 0 = k + 2*j + 4, -k = -5*j + 371 - 367 for k.
-4
Solve 5*q = -10*p - 35 - 20, 3*p + 18 = -3*q for q.
-1
Solve 3*h = -o + 35, 0 = -4*h + 1088*o - 1092*o + 60 for h.
10
Solve 0*f + 94 = 4*x + 6*f, 0 = -3*x + 5*f - 53 for x.
4
Solve 5*m - 3 = -28*t + 25*t, 0 = 5*t + 6*m + 2 for t.
-4
Solve 8 = 2*m + 7*b, -69*b = -4*m - 66*b + 16 for m.
4
Solve x + 13 = 9*u + 33, 12 = -9*u - 3*x for u.
-2
Solve -73 + 5 = -5*f + 44*w, -2 = 3*f - 5*w for f.
-4
Solve 1 = 3*y + 2*x, 2*y - 455*x + 456*x = 0 for y.
-1
Solve 5*c + 3*d + 17 = 0, 28001 = 3*c - 4*d + 28017 for c.
-4
Solve -3*c - c + 4*w = 16, 4*c - w + 241 - 231 = 0 for c.
-2
Solve 8*i + 2 = 4*r + 34, -2*i - 4*r - 12 = 0 for i.
2
Solve 66 = 4*z - 5*j, 3*z - 5*j = 20*z - 18 for z.
4
Solve -6*v + 95*j - 98*j = -51, -v - 2*j + 13 = 0 for v.
7
Solve 4*z - 30 = -5*f, 5*f - 97 + 67 = 4*z for z.
0
Solve -g = 10451*t - 10454*t - 6, -23 = 5*t - 6*g for t.
-1
Solve 2*z - 5*r - 12 = 0, 176*z + 3*r = 173*z - 24 for z.
-4
Solve 5*j + a + 21 = 0, -4*j = -a + 14 - 17 for j.
-2
Solve -147*k = -144*k + 2*n - 3, -4*k + 6 = 2*n for k.
3
Solve 60 = -3*j + g + 83, 39 = 5*j - 2*g for j.
7
Solve -4*y + 3*i = -9, -2*y - 51*i + 48*i + 27 = 0 for y.
6
Solve 0 = 3*z + 2*s + 51, -1709*s + 1706*s = 2*z + 39 for z.
-15
Solve -2*q + 6 = -2*n, 2*q - 42 + 34 = n for n.
2
Solve 4*r - 80 = c - 77, -5*c + 5*r = 0 for c.
1
Solve 5*k + 3*q = 0, -2827 + 2846 = -3*k + 2*q for k.
-3
Solve -2*t + 4*k = -30, -12 = -6526*t + 6524*t + k for t.
3
Solve 10*s + 4*v - 62 = 8*s, -s - 5*v = -73 for s.
3
Solve 5*v + 109 = 4*n, 281*n - 99 = 3*v + 277*n for v.
-5
Solve 3*o + 6 + 25 = 11*q, 4*q = 3*o + 17 for o.
-3
Solve 2*a + 14 = 2*y, 15 = -51*a + 56*a + 5*y for a.
-2
Solve -m + 4*p = -11, 33*m + p = 6*m - 139 for m.
-5
Solve 3*x + 1573*t - 204 = 1560*t, -4*x - 2*t = -42 for x.
3
Solve -3*w - 15 = 0, -777*y = -775*y - 5*w - 15 for y.
-5
Solve 5*z = -s + 6*s + 15, -4*z + 8 = -5*s for z.
7
Solve 0 = -3*o - 5*p - 14, 7149*o = 7148*o - 4*p - 7 for o.
-3
Solve 34 = -2*b - 178*o + 174*o, 9*b - o = -39 for b.
-5
Solve -5*x - 17*z - 2 = 9, -3*x + 119 = -z + 92 for x.
8
Solve 225*g + 5 = 230*g, 5*d + 5*g - 5 = 0 for d.
0
Solve 5*t + 1372*y = 1370*y, 2*y = 4*t + 18 for t.
-2
Solve -4*w - d = w + 17, -888*w + d + 11 = -890*w for w.
-2
Solve -4*m + 14 = -3*s + 33, 5*m - 16*s = -15*s - 10 for m.
-1
Solve -2*d + 6 = 4*h, 0 = -h + 5*d - 19 + 48 for h.
4
Solve 0 = 3*d + t - 20, 0 = 3*d + 3*t + 48 - 72 for d.
6
Solve -5*o - 159 = 20*n - 68*n, 0 = 2*o + 3*n - 3 for o.
-3
Solve 4*h = 2*f + 8, 8 = -255*f + 259*f + 4*h for f.
0
Solve 2*f = 2*r + 18, -355 - 41 = 2*r - 29*f for r.
5
Solve 0 = -2*a - 6, -500*a + 496*a = -5*w + 17 for w.
1
Solve -14*m = -12*m - 3*q - 33, q + 50 = 5*m for m.
9
Solve 5*i + 5*t - 8*t - 18 = -4*t - 6, 3*t - 6 = 0 for i.
2
Solve 5*d + 28 = l, -70*d + 71*d - 5*l = -20 for d.
-5
Solve 4*o - 84 = -13*f, 13*o - 14*o + 19 = 3*f for f.
8
Solve 19*u + 7 = -3*i + 23*u, 10 = 2*i + u for i.
3
Solve -3*u = 3*g + 6, -188*g + 182*g - 3*u = 6 for g.
0
Solve 7*b - 162 = -5*i - 188, 34 = b - 4*i for b.
2
Solve -5*d = 5*j - 5, -d = -3*j - 1268 + 1259 for d.
3
Solve 45 = -4*w - 3*n, -97*w - n = -95*w + 25 for w.
-15
Solve -40*y = -42*y + 3*h - 18, y + 2*h = 12 for y.
0
Solve 3*m - 2545*g = -2550*g - 7, 0 = m - 5*g - 11 for m.
1
Solve -5*g - 2*l = 2, g - 23 = -5*l + 18 for g.
-4
Solve 2*o = 349*l - 346*l + 10, -4*o + 12 = -4*l for l.
-4
Solve -a = 5*u - 13, -u - a = 1753 - 1758 for u.
2
Solve -y + 5*n - 72 = -74, 3*y = 5*n + 6 for y.
2
Solve -3*v + 2022 = 5*w + 2051, -7*w - 4*v = 40 for w.
-4
Solve 5*o - 5*h + 5 = 0, -2*h + 8 = -108*o + 112*o for o.
1
Solve 31*p + 3*i = 32*p + 12, -3*p - 5*i - 8 = 0 for p.
-6
Solve -h - 460 = 2*u - 470, 5*h + 5*u - 30 = 0 for h.
2
Solve -10*q = -12*q - x + 8, 0 = -4*x + 24 for q.
1
Solve -2*q - 12 + 10 = 0, q - 13 = 7*u for u.
-2
Solve -23*x + 22*x + z - 5 = 0, 34*x - 4*z = -140 for x.
-4
Solve 3 = -k, -507*k = -2*c - 504*k + 7 for c.
-1
Solve 20*r - 21*r + 3 = a, 4*a = -3*r + 8 for r.
4
Solve 10*o = -2*n + 11 - 7, 9 = -4*n - 3*o for n.
-3
Solve -28 = 2*o + 4*m, 0 = -5*o + m - 55154 + 55139 for o.
-4
Solve -12*m = 5*o + 2, -m - 32*o + 27*o + 9 = 0 for m.
-1
Solve -4*i + 5*s + 37 = 0, -2*i - 372 = s - 373 for i.
3
Solve -5*g + 7 = 3*a, 19888*a + 4*g + 20 = 19892*a for a.
4
Solve 3*q = 3*b - 39 + 51, 0 = 3*q - 5*b - 14 for q.
3
Solve -3*v + 44*a + 70 = 0, 4*v - 5*a - 499 + 513 = 0 for v.
-6
Solve 7*q = 3*a - 99, 4*q + 58 = 15*a - 14*a for q.
-15
Solve 4*p = 5*b - 1584 + 1637, 4*p - 83 = -5*b for p.
17
Solve 4*o - 5*p - 59 = 0, 4*o + 20 = 2*p + 46 for o.
1
Solve j = -2*l + 8, -2*j - 41*l = -45*l + 8 for j.
2
Solve 53 = -3*w + 4*x + 76, -3*x - 346 = -14*w - 54*w for w.
5
Solve 5*i - 3*v = 43, 539*i - 2*v - 32 = 534*i for i.
2
Solve -a - 1 = -5*h, -217*a - h = -216*a - 5 for a.
4
Solve 41*l = u + 44*l - 1, 0 = -2*l - 4 for u.
7
Solve 4*c = -6*j - 18, -3*j - 3*c + 22 = 31 for j.
-3
Solve -1329*n + 1330*n - 13 = -5*k, n = -4*k + 10 for n.
-2
Solve z + 3*s - 389 = -368, -3*s = 4*z - 21 for z.
0
Solve 3*j = -5*c - 17, -5*c + 3*j + 7 = -0*j for c.
-1
Solve 4*w - 98 = -2*h, 20197*w - 125 = -2*h + 20192*w for h.
-5
Solve 19*u = -3*c - 131, -15*c + 11*c - 53 = u for u.
-5
Solve 596 = 3*o - 4*n + 565, -6*n - 44 = -4*o for o.
5
Solve 5*g = -h + 67 - 50, 0 = -2*h - 4*g + 16 for h.
2
Solve -5*u = -629*n + 633*n - 52, 4*u = 3*n - 8 for u.
4
Solve 0 = 3*y - 5*r + 34, 873*r - 11 = -3*y + 869*r for y.
-3
Solve 3*r - 136*s = -13 + 161, -10*r = -5*r - s - 21 for r.
4
Solve -2*k + 2*i - 50 = 0, 216*k = 215*k + 2*i - 50 for k.
0
Solve 0 = 5*n + 4*d - 15, -5*n = -d + 2874 - 2889 for n.
3
Solve -20 = -2*p - 2*h, 8177 = -2*p - 5*h + 8224 for p.
1
Solve -31 = -2*a + l - 22, a = 5*l + 54 f
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let l = -24 + 8. Calculate the smallest common multiple of f(-2) and 4/l - 81/(-4).
60
What is the lowest common multiple of (-12)/(-96) + (79/8)/1 and 2?
10
Let f(c) = c**3 + 4*c**2 + 2. Let y be f(-4). Let u = 4 + y. Calculate the lowest common multiple of 2 and u.
6
Let o(z) = -8*z**2 - 4*z. Let w be o(-3). Let q = -2/589 + 26537/9424. Find the common denominator of 2*((-381)/w + -1) and q.
80
Suppose -4*k - 8 + 32 = 0. Suppose k*f = 5*f + 8. Calculate the smallest common multiple of 6 and f.
24
Let k = 221 - 3535/16. Find the common denominator of 15/16 and k.
16
Let q be (-3363)/(-12) - 1/4. Let y = q - 1035/4. What is the common denominator of -35/22 and y?
44
Let d be (76/(-2302))/((-1)/954997). Let u = d - 31529. Let c = 106987/9208 + u. Calculate the common denominator of c and -67/12.
24
Let m be (-3 - 61)*8/66. Let c = 535/198 + m. Calculate the common denominator of c and (-58)/(-28) + (-1 - 0).
126
Calculate the lowest common multiple of 20 and (-2)/6*(-11 - 1).
20
Suppose -3*f + 6 = 2*t, 3*f - 22 = 2*t - f. Let q be t/(-12) + 62/8. Suppose q = 5*j - 7. Calculate the least common multiple of j and 10.
30
Let a = 1009 + -10121/10. What is the common denominator of a and 20/7?
70
What is the common denominator of -4 - ((-44)/3 - -4) and 25/11?
33
Let w be 6*-1*2582/4. Let i = 54251/14 + w. Find the common denominator of 3/(-20) + 0 - 2 and i.
140
Find the common denominator of -47/9 and ((-273)/140 - -2)/((-2)/4).
90
Let x be -1*(6 - (-8)/(-4)). What is the common denominator of 2/5 and 57/15*(-10)/x?
10
Let f = 1897 + -9452/5. Calculate the common denominator of 1 + (2 + -28)/1 and f.
5
Let b be (-1)/(4/66)*2. Calculate the lowest common multiple of 22 and 68/11 - (-6)/b.
66
Let u = -8766 + 105299/12. What is the common denominator of u and -109/30?
60
Let p(t) be the third derivative of 3/10*t**5 - 2*t**2 + 0*t + 0 + 0*t**4 + 0*t**3. What is the least common multiple of 22 and p(-1)?
198
Let m = -12383/13770 + -1/1377. What is the common denominator of m and (-804)/(-9)*(-1)/8?
30
Suppose -2*y + 0*y + 6 = 0. Suppose y*i - 9 - 6 = 0. Calculate the least common multiple of i and 1.
5
Suppose -2*f + n = 0, 0 = -5*f - 4*n + 7 + 6. Calculate the least common multiple of f and 19.
19
Let y = -2650 + 53033/20. What is the common denominator of y and -91/2?
20
Let v = -5/67 - -495/2144. Find the common denominator of v and 67/44.
352
Let d(w) = -4*w - 8. What is the smallest common multiple of d(-6) and 12?
48
Suppose -9*t + 7*t = 26. Find the common denominator of 47/2 and t/9*(-126)/12.
6
Let i(s) = -s**2 + 6*s - 2. Let f be i(4). Find the common denominator of f/(-21) - (-522)/308 and -71/16.
176
Let v(h) = h**2 + 6*h + 5. What is the lowest common multiple of 8 and v(-7)?
24
Let k(b) = -5*b - 6. Calculate the least common multiple of k(-5) and 10.
190
Suppose 4*f + 72 = 12*f. Let h = 1 + 10. What is the least common multiple of h and f?
99
Let n(l) = -l**2 - 9*l - 13. What is the lowest common multiple of 6 and n(-6)?
30
Suppose -2*o + j + 3 = -6, -4*o = -4*j - 16. Suppose -u = -2*l + 7, o*l - 4*u - 16 = -u. Calculate the lowest common multiple of l and 7.
35
Suppose 3*s + 15 = 5*i + 70, 3*s + 3*i - 15 = 0. Calculate the least common multiple of s and 28.
140
What is the common denominator of -121/10 and 1*(-1 - 1) + 1/(-6)?
30
Let c = 37 - 26. What is the lowest common multiple of c and -3*(0 - 1/3)?
11
Suppose 10 = -3*f + 4*f. What is the lowest common multiple of f and 5?
10
Let u = 123 - 261. Let i be 1803/u*-1 - 3. Let q = i - -10/23. What is the common denominator of 31/14 and q?
14
Find the common denominator of (-3171)/1610 + 9/15 and -45/16.
368
Let y = 1/3213 + 127447/6426. What is the common denominator of y and 55/12?
12
Let s = 4 - -19. Suppose -2*h + 10 = -2*m, -s = -h + 4*m - 9. Let q(d) = d**2 - 5. What is the lowest common multiple of h and q(-5)?
20
Let r = -5 + 14. Let t be ((-6)/4)/(r/(-13)). Let k = 55/24 - t. Find the common denominator of k and 10/9.
72
Let l = 2 - -1. Suppose -l*q - 10 = -5*q. What is the lowest common multiple of q and 5?
5
Suppose 0 = w - 8 + 2. Let t(x) = -x**3 + 2*x**2 + x. Let u be (-1)/3*(3 - 0). What is the lowest common multiple of w and t(u)?
6
Suppose -2*j + 6 + 16 = 0. Let u = j + -7. Calculate the least common multiple of 5 and u.
20
Let y = 38/87 - 4469/870. Suppose 3*w + 17 = -2*i, 2*w + 3*i + 10 + 8 = 0. What is the common denominator of (-292)/21*w/8 and y?
70
Let n = -325/44 - 158/11. What is the common denominator of 23/16 and n?
16
What is the smallest common multiple of 8 and (96/(-80))/((-2)/10)?
24
Suppose 2*f - 6*f = -3*r + 70, 0 = 3*r - 5*f - 71. Calculate the least common multiple of r and 2.
22
Suppose -3*z = -5*l + 1568 + 689, 3*l - 2*z - 1354 = 0. Calculate the common denominator of (-2)/7 + l/112 and 1/(-2) + (-4 - -5).
4
Let m = 4/1807 - 86780/19877. Find the common denominator of -25/7 and m.
77
Let v(x) = x**2 - 9*x + 12. Let k be (16/(-6))/((-2)/6). Let p be v(k). Suppose 0 = -p*i + 32 - 4. What is the least common multiple of i and 11?
77
Suppose 0*z + 2*z = -6. Let u(w) = 111*w + 3. Let i be u(z). Let h = -1022/3 - i. Calculate the common denominator of h and -4/11.
33
Find the common denominator of ((-46)/(-12))/(70/(-20)) and 8/7.
21
What is the common denominator of -5*(-4)/(-10) + 6/16 and -85/6?
24
Find the common denominator of 7191/(-340) + (-6)/10 and 14/11.
44
Let j be 6/25382*1/1203. Let p = -448404897085/81425456 - j. Let u = 5505 + p. Find the common denominator of u and 87/10.
80
Let j = -335323895/13267436 - 15/80899. Let a = -24599/41 + 600. Let p = a + j. Calculate the common denominator of p and 83/6.
12
Let k = 837/20 - 159/4. Calculate the common denominator of 37/11 and k.
110
Let x be (1 + (-9)/4)*-8. Suppose -3*j - x = -2*j. Find the common denominator of ((-10)/(-72))/((-1)/j) and 63/20.
180
Let l = 1427/9 + -965/6. Let x = -4538047/5388 + 3369/4. Let k = x + 2545/898. Find the common denominator of l and k.
18
Suppose 69 = 5*v + 3*s, 39 = 4*v - 3*s - 0*s. Let r = -16 - -22. What is the smallest common multiple of v and r?
12
Suppose -5*g = -5, -5*x + 2*g + 4 = 1. Let s = 1 + x. What is the common denominator of 71/14 and (-70)/16 - (s - 3)?
56
Calculate the common denominator of 0 + -4 + (-145)/15 and 47/(-3) - (-1)/2.
6
Let b(f) = f**2 - 5*f + 5. Let i(y) = -1 + y + 4 + 2 + 0*y. What is the smallest common multiple of b(5) and i(4)?
45
Suppose 18 - 73 = -5*z. Let o = 8 - 8. Suppose o = -0*v + 4*v + 4*h - 48, -15 = -3*v + 4*h. Calculate the least common multiple of v and z.
99
Calculate the least common multiple of 12 and (-7)/2*72/(-42).
12
Let l = 6769/3970 + -2/397. Let r = -604/7 + 85. What is the common denominator of l and r?
70
Suppose o = -o + 44. Let m(t) be the second derivative of -t**3 - t**2 + t. Calculate the lowest common multiple of m(-4) and o.
22
Suppose 0*h - 3*h - 51 = 0. Find the common denominator of (h/(-3))/(66/(-9)) and 1082/(-120) + 2/(-5).
132
Let w = 2000 - -6767. Let k = 228019/26 - w. What is the common denominator of 40/9 and k?
234
Let r(z) = 4 - 2*z**2 - 3 + z**3 - 3*z + 3. Calculate the least common multiple of 22 and r(3).
44
Let c = -12 - 52. Let k = c - -46. Calculate the smallest common multiple of 14 and 4/(-18) - 328/k.
126
Calculate the common denominator of 73/6 and (-93)/(-10) + (3 + 6)/3.
30
Let n = 891 + -6185/7. What is the common denominator of 4 - (-17 + -3) - 4 and n?
7
Let a = -10 + 13. Suppose -z + 7 + 9 = -3*n, 3*z + a*n = 12. Calculate the least common multiple of 1 and z.
7
Let i be (-2 + 1)/(1/(-2)). Suppose -r = -2*p + 2, r - 3*p + i = -4*p. Calculate the common denominator of 4/3 and r/6 - 58/(-9).
9
Let v(q) = q**2 + 3*q + 1. Let h be v(-4). Suppose -4*p = -2*r, -3*r + h*r - 32 = -4*p. What is the lowest common multiple of 6 and r?
24
Let o be 12130/(-12) + 2/4. Let s(j) = 3*j**3 - j**2 + 2*j + 2. Let t be s(7). Let b = t + o. What is the common denominator of 57/2 and b?
6
Suppose -5*c = -2*v - 3*c - 98, 4*v - c + 205 = 0. Calculate the common denominator of -2*(1 - 4/v) and 49/9.
117
Let z = 83631/4 + -21054. Let m = z + 130. Find the common denominator of m and 55/14.
28
Let q(t) = -t**3 + 3*t**2 + 9*t + 8. Calculate the least common multiple of 34 and q(5).
102
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.81 - c. What is t rounded to 1 decimal place?
-0.9
Suppose 5*c = 40289814 + 20291991. Suppose 5*y - c = -3316361. What is y rounded to the nearest one hundred thousand?
1800000
Let a(v) = 6043*v**2 - 15*v - 12. Let i = 20 - 21. Let k be 2*(-6)/i + 0. Let f be a(k). What is f rounded to the nearest 100000?
900000
Let v = -2592.71 + 976.58. Let b = 1616.0860073 + v. Let d = -0.044 - b. Round d to 6 decimal places.
-0.000007
Let d = -15.6224 - -15.222395. Let z = 0 + 0.4. Let r = z + d. Round r to five dps.
-0.00001
Suppose -1779 = -9*j - 6630. Round j to the nearest 10.
-540
Let p be (2/(-5))/(2/(-5)). Let y(g) = 356*g + 0 - 8867*g - 290*g - p. Let t be y(-1). What is t rounded to the nearest 1000?
9000
Let a = 930.1473557 + 0.8103443. Let f = a + -931. Round f to 2 dps.
-0.04
Let w(b) = -1139*b**3 + 8*b**2 - 5*b + 3. Let t be w(-7). Suppose 116108 = 5*i - v + t, -4*i = v + 220001. What is i rounded to the nearest 10000?
-60000
Let s = -0.1737 - -0.172268. What is s rounded to four decimal places?
-0.0014
Let w = -43 + -4. Let r = -67 - w. Let q = r - -20.0000047. What is q rounded to 6 decimal places?
0.000005
Let z = -61 + 62. Let v be (z + 8124)*-2*352/1. Round v to the nearest 1000000.
-6000000
Let d = 17 - 7. Let a(u) be the first derivative of -u**2/2 + 16*u + 5. Let x be a(d). Round x to the nearest ten.
10
Let m = -15.959 + 16. Let h = -0.04100061 + m. What is h rounded to seven dps?
-0.0000006
Let w = 1762 - 3498. Round w to the nearest 100.
-1700
Suppose 83*g - 3339000 = 76*g. Round g to the nearest 10000.
480000
Let l = 365 - 366.468. Let k = -0.162 - -0.05. Let d = k + l. Round d to one dp.
-1.6
Let q = -156.2810629 - -233.281062. Let j = 77 - q. Round j to 7 dps.
0.0000009
Let r = 793498.618 - 792771. Let q = r + -727. What is q rounded to 2 decimal places?
0.62
Let l = 136 + -38. Let z = -97.978 + l. Round z to 2 decimal places.
0.02
Let i(j) = -388*j**2 - j + 37. Let x be i(9). Round x to the nearest one thousand.
-31000
Let t = 3224 + -3223.99996882. What is t rounded to six decimal places?
0.000031
Let z(g) = g**3 + 16*g**2 + g + 15. Let k be z(-16). Let o be k/(-2) - (-5)/2. Suppose -o*j - t - 1532 = 0, j - 4*j + 3*t = 1524. Round j to the nearest 100.
-500
Let b = -1843396 - -1843414.000264. Let w = -18 + b. Round w to four dps.
0.0003
Let i(k) = 20*k + 22*k - 17*k + 4 + 19*k. Let c be i(4). What is c rounded to the nearest one hundred?
200
Let z = 8.51 - 9.2. Let y = -16.07 + 16. Let g = z - y. What is g rounded to one decimal place?
-0.6
Suppose 5*g + 12 = i, 0 = 3*g - 3 + 9. Let s be (4/6)/(i/(-864)). What is s rounded to the nearest ten?
-290
Let q = 6700857.00113 + -6700988. Let h = 233 + -102. Let n = h + q. What is n rounded to four dps?
0.0011
Let v = -35.934233445 - 0.065774155. Let k = 25 + -61. Let h = k - v. What is h rounded to six dps?
0.000008
Suppose 2*x + 3108 = -3*q - 8362, 0 = q - 2*x + 3826. What is q rounded to the nearest one hundred?
-3800
Let w = 33513.77 + -33486.76917. Let x = 92 + -65. Let m = x - w. What is m rounded to four decimal places?
-0.0008
Let j = -539 - -538.9999039. What is j rounded to 6 decimal places?
-0.000096
Let m = -24.3405 + 0.0405. Let o = 4.2 - m. What is o rounded to the nearest integer?
29
Let q(l) = 382*l - 452. Let v be q(-38). What is v rounded to the nearest one hundred?
-15000
Let d = -74 + 79. Suppose 0*l - 535 = -d*l. What is l rounded to the nearest ten?
110
Let p = -43.3 + 43.29999629. Round p to 7 dps.
-0.0000037
Suppose -8*w + 2178 + 1478622 = 0. Round w to the nearest ten thousand.
190000
Suppose -3*b + 7*b - 366788 = -4*y, -y + 91712 = -2*b. Let z = y + 43298. What is z rounded to the nearest ten thousand?
140000
Let k be (-72)/5 + 4/10. Let s be 2/k - (-314)/(-7). Let r be (36/s)/(2/(-19750)). What is r rounded to the nearest 1000?
8000
Suppose -3*a = 5*v - 37, 0 = 4*a + a + 5*v - 45. Suppose -4*o + 2*u = 3*u - 1920003, -a*o + 5*u = -1919985. Round o to the nearest 1000000.
0
Let j be 1 + -2 + (4 - 5). Let u be ((-5404)/(-1))/(j/(-2)). Suppose -4*p = 3796 + u. What is p rounded to the nearest one thousand?
-2000
Let f = 21031730213 - 21031717456.985109. Let z = -12756 + f. Let m = z + -0.0151. Round m to five dps.
-0.00021
Suppose -x = 3*x - 164. Let y = x + -22. Round y to the nearest 10.
20
Let p = 215.99999321 - 216. Round p to seven decimal places.
-0.0000068
Let h = -21 - -16. Let j = -4.999833 - h. Round j to 5 decimal places.
0.00017
Let n = 8837.07547 + -8837. What is n rounded to two dps?
0.08
Suppose 0 = x - 2. Suppose 0 = x*f + 4*f + 987090. Let k = f + -85485. Round k to the nearest one hundred thousand.
-300000
Let j(r) = -502780*r - 20. Let s be j(1). What is s rounded to the nearest 100000?
-500000
Let v = 18897239.19999508 + -18897258. Let q = v + 18.8. Round q to six decimal places.
-0.000005
Let y = -2355 - -2354.999999958. What is y rounded to seven dps?
0
Suppose -3*n + 1367685 = -3*v, 17*v - 2279515 = 22*v + 3*n. Round v to the nearest ten thousand.
-460000
Let h be 6/21 - (-3)/((-105)/4322510). Round h to the nearest ten thousand.
-120000
Let x = 178620 - 178600.3893. Let t = -22.910792 + x. Let h = 3.3 + t. Round h to five decimal places.
-0.00009
Let h = -52.3 + -1.7. Let y = h - -54.63. Let t = -18.97 - y. Round t to zero decimal places.
-20
Let d = -1216478988.00000074 - -1216478958. Let g = 13 - 43. Let w = d - g. Round w to 7 dps.
-0.0000007
Let b = -8688669 + 8688670.5999988. Let a = 228.4 - 230. Let q = b + a. What is q rounded to six decimal places?
-0.000001
Let r = 2.2 + -13.2. Let p = -7 - r. Let y = p - 1.5. Round y to the nearest integer.
3
Suppose -2000 = -5*p - 4*v, 0 = 5*p - 2*p + 4*v - 1200. Let y be (p/6)/((-62)/54777). What is y rounded to the nearest ten thousand?
-60000
Let g = 0.0362 - -136.1638. What is g rounded to the nearest ten?
140
Let s = 387 - 438.8. What is s rounded to the nearest integer?
-52
Let h be (-67759998)/11 - 20/110. Round h to the nearest 1000000.
-6000000
Let s = 306714920 + -306715001.0000444. Let h = -81 - s. What is h rounded to 6 decimal places?
0.000044
Let c = 1433 - 1432.9997646. Round c to five dps.
0.00024
Let p(i) = 85*i**3 - 41*i**2 + 75*i - 234. Let z be p(-46). Round z to the nearest 100000.
-8400000
Let j = -0.12 + 0.21. Let v = j - 0.08872. What is v rounded to 4 decimal places?
0.0013
Let k be (-51)/(-85) + (-3)/((-30)/34). Suppose t - 800 = 4*v + 3*t, 800 = -k*v + 4*t. Round v to the nearest 100.
-200
Let o = -0.2483 - -0.1656. What is o rounded to 2 dps?
-0.08
Let u = 0.052 + 0.723. What is u rounded to one decimal place?
0.8
Let y = -1.66 + -63.54. Let s = -65.1999687 - y. Round s to 6 dps.
0.000031
Let d(w) be the second derivative of 0 + 385/12*w**4 + 0*w**2 + 5*w - 5/6*w**3. Let o be d(5). Round o to the nearest one thousand.
10000
Suppose -5*f + 36545 = -s, -73*s + 71*s + 5*f = 73065. Round s to the nearest one thousand.
-37000
Let o(j) = 47*j + 545. Let z be o(-10). What is z rounded to the nearest 10?
80
Let s = 8.82 + -11.869. Round s to one decimal place.
-3
Let k = 1024.00000195 - 1024. What is k rounded to 5 decimal places?
0
Let z = 35308.8199345 - 35310.95. Let c = 2.13 + z. Round c to five dps.
-0.00007
Let z = 1812.0933 + -1812. Let o = z + -0.084. What is o rounded to three decimal places?
0.009
Let k = 1839 - 1835.243. Round k to one dp.
3.8
Suppose 4*v + 2 = 10. Let m be (-38 - v)*464/10. Let k = m + 2856. Round k to the nearest one thousand.
1000
Let c = -6.188 - -8.09. What is c rounded to one dp?
1.9
Suppose 0 = 4*y - 4*w + 42880000, 65*w - 53600000 = 5*y + 67*w. Round y to the nearest one million.
-11000000
Let u = 0.045 - 37.045. Let p = u + 25. Let v = 11.9999983 + p. What is v rounded to 6 dps?
-0.000002
Let i = -22.15342 - 0.01658. Let o = 21.3 + i. Let c = 3.03 - o. Round c to 0 decimal places.
4
Suppose -32236 - 39522 = 4*l + 2*i, 5*l + 89696 = -4*i. What is l rounded to the nearest one thousand?
-18000
Let h be (3394/4)/(1/(-38)). Let o = -39695 + -41548. Let s = h - o. What is s rounded to the nearest ten thousand?
50000
Let u = -16 - -16.25. Let o = 5.65 - u. Let n = 0.1 - o. What is n rounded to 0 dps?
-5
Let m = -1 - 23. Let l = m + 24.11. Let i = 6.99 + l. What is i rounded to 0 decimal places?
7
Suppose -15225 - 20405 = g. Round g to th
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 26*u**3/3 + 4*u**2 = 0.
-6, -1, 0
What is o in o**5/3 - 10*o**4/3 - 43*o**3/3 + 52*o**2/3 = 0?
-4, 0, 1, 13
Suppose -o**3/4 + 11*o**2/4 + 23*o/2 - 14 = 0. Calculate o.
-4, 1, 14
Factor -w**4 + 14*w**3 + 11*w**2 - 420*w - 900.
-(w - 10)**2*(w + 3)**2
Factor 3*v**2 + 57*v - 60.
3*(v - 1)*(v + 20)
Factor 4*f**2/3 + 68*f/3 + 64/3.
4*(f + 1)*(f + 16)/3
Factor -2*n**3/3 + 56*n**2/3 - 174*n + 540.
-2*(n - 10)*(n - 9)**2/3
Factor -4*r**3 + 10452*r**2 - 9103692*r + 2643105244.
-4*(r - 871)**3
Factor 5*o**2 + 115*o + 380.
5*(o + 4)*(o + 19)
Let -4*x**2 + 28*x + 32 = 0. Calculate x.
-1, 8
Let -2*w**4/7 + 106*w**3/7 - 1452*w**2/7 + 1144*w/7 + 2704/7 = 0. Calculate w.
-1, 2, 26
Let -5*y**4 + 205*y**3 - 2775*y**2 + 12375*y = 0. What is y?
0, 11, 15
Let -w**4 - 5*w**3 - 4*w**2 = 0. What is w?
-4, -1, 0
Factor 3*k**4 + 21*k**3 + 54*k**2 + 60*k + 24.
3*(k + 1)*(k + 2)**3
Find r such that 2*r**4 + 20*r**3 + 42*r**2 - 80*r - 200 = 0.
-5, -2, 2
Factor 3*q**2 + 789*q + 1566.
3*(q + 2)*(q + 261)
Find l such that 3*l**2 - 12*l + 9 = 0.
1, 3
Solve -15171025*n**2/7 + 7790*n/7 - 1/7 = 0 for n.
1/3895
Find v, given that 14*v**3/17 - 6*v**2/17 - 8*v/17 = 0.
-4/7, 0, 1
Factor -5*u**2/4 + 65*u - 255/4.
-5*(u - 51)*(u - 1)/4
Factor -5*q**2 + 4485*q - 8950.
-5*(q - 895)*(q - 2)
Find i such that -3362*i**4/3 - 12956*i**3/3 + 18760*i**2/3 - 844*i + 30 = 0.
-5, 3/41, 1
Find j, given that -98*j**5/5 - 938*j**4/5 - 3158*j**3/5 - 846*j**2 - 1728*j/5 - 216/5 = 0.
-3, -2/7
Solve 2*d**2/7 + 84*d + 1168/7 = 0.
-292, -2
Factor 3*p**5 + 24*p**4 + 48*p**3.
3*p**3*(p + 4)**2
Factor -2*c**3 + 886*c**2 - 98566*c + 97682.
-2*(c - 221)**2*(c - 1)
Suppose -2*p**2/9 - 7960*p/9 - 7920200/9 = 0. What is p?
-1990
Solve 15*x**4/7 + 234*x**3/7 + 864*x**2/7 - 384*x/7 = 0 for x.
-8, 0, 2/5
Factor 2*b**3/3 + 274*b**2/3 - 280*b/3 - 184.
2*(b - 2)*(b + 1)*(b + 138)/3
Solve -3*k**3 + 5310*k**2 - 3132900*k + 616137000 = 0.
590
Let 3*f**4/5 - 126*f**3/5 + 327*f**2 - 6372*f/5 + 972 = 0. What is f?
1, 5, 18
Suppose 4*b**4/9 - 6544*b**3/9 + 2180*b**2/3 = 0. What is b?
0, 1, 1635
Factor -3*n**3/4 - 684*n**2 + 3*n/4 + 684.
-3*(n - 1)*(n + 1)*(n + 912)/4
Factor 6*c**2/7 - 40*c/7 + 66/7.
2*(c - 3)*(3*c - 11)/7
Let 21*a**4 + 246*a**3 - 828*a**2 - 8856*a + 2592 = 0. What is a?
-12, -6, 2/7, 6
Factor a**5/6 - 4*a**4/3 + 10*a**3/3 - 8*a**2/3.
a**2*(a - 4)*(a - 2)**2/6
Suppose -8*j**5/15 + 62*j**4/15 - 128*j**3/15 + 92*j**2/15 - 8*j/15 - 2/3 = 0. What is j?
-1/4, 1, 5
Factor -4*p**2/5 + 184*p/5 - 36.
-4*(p - 45)*(p - 1)/5
Factor 2*c**2/5 + 5016*c/5 + 3145032/5.
2*(c + 1254)**2/5
Factor 3*o**2/7 + 354*o + 7407/7.
3*(o + 3)*(o + 823)/7
Factor -9472*y**2 - 9468*y + 4.
-4*(y + 1)*(2368*y - 1)
Suppose b**2 + 1237*b + 2470 = 0. What is b?
-1235, -2
Factor -51*w**5 + 57*w**4 - 6*w**3.
-3*w**3*(w - 1)*(17*w - 2)
Factor -2*m**3/5 + 16*m**2/5 + 18*m + 72/5.
-2*(m - 12)*(m + 1)*(m + 3)/5
Let m**3/5 - 122*m**2/5 + 3596*m/5 + 7688/5 = 0. Calculate m.
-2, 62
Factor 4*f**5 - 16*f**4 + 21*f**3 - 11*f**2 + 2*f.
f*(f - 2)*(f - 1)*(2*f - 1)**2
Suppose 2*x**5 - 22*x**4 + 52*x**3 - 32*x**2 = 0. What is x?
0, 1, 2, 8
Determine o so that o**3 - 69*o**2 + 1155*o + 1225 = 0.
-1, 35
Factor -3*h**3 + 72*h**2 - 351*h + 486.
-3*(h - 18)*(h - 3)**2
Factor -2*a**3/9 - 52*a**2/9 - 10*a + 16.
-2*(a - 1)*(a + 3)*(a + 24)/9
Factor -12*l**3/7 + 90*l**2/7 - 114*l/7 + 36/7.
-6*(l - 6)*(l - 1)*(2*l - 1)/7
Factor -i**5/5 + 61*i**4/5 - 1018*i**3/5 + 2698*i**2/5 - 2581*i/5 + 841/5.
-(i - 29)**2*(i - 1)**3/5
What is m in -m**4/4 + 13*m**3 + 339*m**2/4 + 261*m/2 = 0?
-3, 0, 58
Suppose 2*o**2 - 94*o - 196 = 0. What is o?
-2, 49
What is k in k**2 + 16*k + 15 = 0?
-15, -1
Let -j**4/3 + 2*j**3 + 8*j**2 - 224*j/3 + 128 = 0. What is j?
-6, 4
Factor -5*j**2 + 600*j - 18000.
-5*(j - 60)**2
Solve b**5/2 + 4*b**4 - 9*b**3 - 36*b**2 + 81*b/2 = 0 for b.
-9, -3, 0, 1, 3
Solve -12*r**4/5 + 147*r**3/5 - 33*r**2 = 0 for r.
0, 5/4, 11
Determine s so that 5*s**4 - 210*s**3 + 2400*s**2 - 4000*s = 0.
0, 2, 20
Factor 5*a**5 - 40*a**4 + 90*a**3 - 80*a**2 + 25*a.
5*a*(a - 5)*(a - 1)**3
Suppose 9*u**2 - 273*u - 186 = 0. What is u?
-2/3, 31
Let 2*y**3/9 + 734*y**2/3 + 269378*y/3 + 98861726/9 = 0. Calculate y.
-367
Factor -4*f**3 + 352*f**2 - 6580*f - 53016.
-4*(f - 47)**2*(f + 6)
Factor 2*d**4 + 37*d**3 + 179*d**2 + 63*d - 81.
(d + 1)*(d + 9)**2*(2*d - 1)
Factor -3*y**3/2 + 9*y**2 + 21*y/2.
-3*y*(y - 7)*(y + 1)/2
Suppose -2*w**5 - 24*w**4 - 70*w**3 - 40*w**2 + 72*w + 64 = 0. Calculate w.
-8, -2, -1, 1
Suppose -5*i**4 - 20*i**3 + 5*i**2 + 80*i + 60 = 0. Calculate i.
-3, -2, -1, 2
Find v, given that -12*v**5/5 + 9*v**4 - 9*v**3/5 - 66*v**2/5 = 0.
-1, 0, 2, 11/4
Factor r**4 - 6*r**3 + 9*r**2 + 4*r - 12.
(r - 3)*(r - 2)**2*(r + 1)
Factor 5*k**2 - 5*k - 60.
5*(k - 4)*(k + 3)
Factor 4*u**3/7 - 8*u**2/7 - 96*u/7.
4*u*(u - 6)*(u + 4)/7
Suppose 4*c**4 + 72*c**3 - 1788*c**2 + 6160*c - 5808 = 0. What is c?
-33, 2, 11
Factor -4*j**3 - 17*j**2 - 4*j.
-j*(j + 4)*(4*j + 1)
Suppose 3*h**3 - 120*h**2 + 1173*h = 0. What is h?
0, 17, 23
Factor 2*n**2/9 + 38*n/9 + 32/3.
2*(n + 3)*(n + 16)/9
Factor -3*p**5/2 - 243*p**4/2 + 10197*p**3/2 - 120153*p**2/2 + 227601*p.
-3*p*(p - 11)**3*(p + 114)/2
Let -2*t**2 - 16*t + 168 = 0. Calculate t.
-14, 6
Factor 25*y**2/2 + 565*y/4 - 295/4.
5*(2*y - 1)*(5*y + 59)/4
Factor -3*o**3/2 - 57*o**2/2 - 75*o - 48.
-3*(o + 1)*(o + 2)*(o + 16)/2
Determine f so that -5*f**2 + 190*f - 360 = 0.
2, 36
Factor 2*z**2/7 + 26*z/7 - 40.
2*(z - 7)*(z + 20)/7
Factor -6*d**2/11 + 248*d/11 + 168/11.
-2*(d - 42)*(3*d + 2)/11
Factor -2*n**2/7 - 50*n/7 - 48/7.
-2*(n + 1)*(n + 24)/7
Factor -2*d**3/7 - 62*d**2/7 - 60*d/7.
-2*d*(d + 1)*(d + 30)/7
Let -12*f**3 + 136*f**2 - 44*f = 0. Calculate f.
0, 1/3, 11
Factor -o**3/6 + 34*o**2/3 - 67*o/6.
-o*(o - 67)*(o - 1)/6
Let -2*i**2/5 - 44*i/5 + 46/5 = 0. What is i?
-23, 1
Suppose 4*k**4 - 728*k**3 + 2160*k**2 - 2152*k + 716 = 0. Calculate k.
1, 179
Determine t so that -16*t**4 - 28*t**3 + 8*t**2 = 0.
-2, 0, 1/4
What is f in f**2/4 + 19*f/4 - 23 = 0?
-23, 4
Let -3*w**5 - 3*w**4 + 3*w**3 + 3*w**2 = 0. What is w?
-1, 0, 1
Factor -4*j**4/7 + 120*j**3/7 - 16000*j/7.
-4*j*(j - 20)**2*(j + 10)/7
Let 2*y**3/21 - 2*y/7 + 4/21 = 0. What is y?
-2, 1
Factor 5*u**2 - 120*u.
5*u*(u - 24)
Determine z so that -z**3/2 + 165*z**2 + 666*z + 668 = 0.
-2, 334
Let -2*g**2/5 + 512*g/5 - 102 = 0. Calculate g.
1, 255
Determine v, given that -4*v**2 + 3664*v - 839056 = 0.
458
Factor 4*z**2/3 + 248*z/3 - 1340/3.
4*(z - 5)*(z + 67)/3
Factor j**2/2 - 1271*j + 1615441/2.
(j - 1271)**2/2
Suppose y**3/6 - 147*y**2 + 43218*y - 4235364 = 0. Calculate y.
294
What is z in -z**5/4 + z**4/4 + 3*z**3/2 + z**2/2 - 5*z/4 - 3/4 = 0?
-1, 1, 3
Factor -j**3 - 36*j**2 + j + 36.
-(j - 1)*(j + 1)*(j + 36)
Determine b, given that 14*b**5/3 - 326*b**4/3 + 638*b**3/3 + 242*b**2 - 84*b = 0.
-1, 0, 2/7, 3, 21
Find k such that 8*k**3/3 + 35426*k**2/3 + 44272*k/3 + 8854/3 = 0.
-4427, -1, -1/4
Find o, given that 22*o**4/3 + 50*o**3 - 424*o**2/3 + 24*o = 0.
-9, 0, 2/11, 2
Factor 2*w**2/3 - 2*w - 36.
2*(w - 9)*(w + 6)/3
Factor h**3/3 + 3063*h**2 + 7034945*h - 21114025/3.
(h - 1)*(h + 4595)**2/3
Factor 2*y**4 - 2436*y**3 + 751442*y**2 - 5895120*y + 11712800.
2*(y - 605)**2*(y - 4)**2
What is g in g**2/2 + 3*g + 9/2 = 0?
-3
Factor 3*i**5/2 + 63*i**4 + 1899*i**3/2 + 6306*i**2 + 19080*i + 21600.
3*(i + 4)**3*(i + 15)**2/2
Factor 4*n**2 + 44*n + 96.
4*(n + 3)*(n + 8)
Factor 3*c**4 - 45*c**3 - 276*c**2 - 468*c - 240.
3*(c - 20)*(c + 1)*(c + 2)**2
Suppose 361*c**3/2 + 6061*c**2/2 - 644*c + 34 = 0. What is c?
-17, 2/19
What is q in -5*q**4/2 - 73*q**3/2 + 693*q**2/2 + 441*q/2 = 0?
-21, -3/5, 0, 7
Let m**4 + 12*m**3 + 48*m**2 + 80*m + 48 = 0. What is m?
-6, -2
Suppose 2*v**5/9 - 20*v**4/9 = 0. What is v?
0, 10
Find j, given that 5*j**3/4 - 17565*j**2/2 + 20568615*j - 16057232110 = 0.
2342
Factor -260*t**2 - 275*t - 15.
-5*(t + 1)*(52*t + 3)
Factor 4*c**5 + 4*c**4 - 8*c**3.
4*c**3*(c - 1)*(c + 2)
Let v**4/8 + 29*v**3/2 + 2523*v**2/4 + 24389*v/2 + 707281/8 = 0. Calculate v.
-29
Let -5*o**4 - 50*o**3 + 5*o**2 + 50*o = 0. What is o?
-10, -1, 0, 1
Factor -h**2/6 + 2*h - 11/6.
-(h - 11)*(h - 1)/6
Suppose -3*m**2 + 198*m - 3267 = 0. Calculate m.
33
Factor 4*g**2/5 - 10472*g/5 + 6853924/5.
4*(g - 1309)**2/5
Solve 9*o**5/8
|
{
"pile_set_name": "DM Mathematics"
}
|
= -9*j - 4. Let w be m(-1). Which is the closest to 0? (a) w (b) v (c) 3/2
c
Let i be 589/(-3230) - (-6)/20. Let m = -3.3 - -3. What is the nearest to -0.1 in i, m, 7?
m
Let l be (-1*2)/2*-7. Let j = 1068 - 1065. What is the closest to 1 in 0.2, l, j?
0.2
Let g = -323.3 - -323. What is the closest to 4/3 in -1/7, g, -2/7?
-1/7
Let s = -391 + 390.7. Which is the nearest to -4? (a) s (b) 2/3 (c) -2
c
Let s = -131 + 126. Let x = 2.3 + 0.7. Let n be 1/(-4) + 5/4. Which is the nearest to n? (a) s (b) x (c) -1/3
c
Let d = -8 + 8.4. Let n be (-10)/(-18)*21/35. What is the closest to 1 in -3, d, n?
d
Let w = -43.9 + 44. Which is the closest to w? (a) 0.12 (b) -5 (c) -4 (d) 5
a
Let t be 2 + 1 - (-14)/(-5). Let w = -430 - -429.3. Which is the closest to 2/7? (a) 0.5 (b) w (c) t
c
Let t = -25/2 - -12. Let v = 26 - 17. Let g = -11 + v. What is the closest to g in t, 0, 5?
t
Suppose -2*j - t + 13 = -4*t, -6 = -4*j + 2*t. What is the closest to -0.2 in 26, j, -3?
j
Let m = -0.066 - -37.066. Let s = m - 40. Which is the nearest to -1? (a) 3 (b) s (c) -4
b
Let k = 43/4 - 125/12. Suppose -s + 8 = 2*n, -2*s + 9*n - 4*n = 11. Let d be (-3*(-2)/(-15))/s. Which is the nearest to -2? (a) 3 (b) d (c) k
b
Let d = -71.179 + 0.179. Let o = -71.5 - d. What is the nearest to o in -1/4, -5, -0.5?
-0.5
Let k = 0.0639 + -0.0639. Which is the nearest to k? (a) 18 (b) 2/3 (c) 0.1 (d) -1
c
Let a = -518 - -538.9. Let j = a + -2.9. Let o = j - 18. What is the nearest to -2/5 in o, 1, -3?
o
Let i be (4 - (-276)/(-66))/(-2 - -3). Let v(x) = x**2 + 4*x + 1. Let a(b) = -b + 3. Let q be a(7). Let o be v(q). What is the closest to -1 in i, o, -2/13?
i
Let k = 3595/11 + -327. Which is the closest to -1/3? (a) 0.2 (b) k (c) 4/5
b
Let q = -62.67 - -0.67. Let a = 61.9 + q. Let m = 0.1 + -0.1. What is the closest to m in -1/3, a, -4?
a
Let p = -0.63 - -7.63. Let f = 3 - p. What is the closest to 2 in 0.5, 2/9, f?
0.5
Let r = -2.3 - -0.3. Let k = -80 - -80.3. Which is the nearest to 0? (a) k (b) -10/3 (c) r
a
Let q = 1.5 + -1.501. Let l = -0.999 + q. Which is the closest to 0.1? (a) -0.2 (b) -1/4 (c) l
a
Let v = -1/127 + 263/1143. What is the closest to v in -5/2, 0, 3/7?
3/7
Let g = 0.25 - 0.22. Let b = -2.24 - 0.76. What is the nearest to 0.2 in b, 0, g?
g
Let m = -1.3 + -7.7. Let w = m - -8.8. Let q = 0.15 - 0.25. Which is the nearest to 1? (a) 0 (b) w (c) q
a
Suppose -9 + 5 = q - 3*j, 3*j = -3*q - 12. Let u = 2/125 + -151/1625. What is the nearest to u in 3, q, -5/3?
-5/3
Let f = -11699/9 + 1300. What is the closest to 0.1 in 3, -1/5, f, -8?
f
Let w = -37/69 - 26/23. Which is the nearest to 3? (a) w (b) 0.4 (c) 3/8
b
Let c = -37 - -182/5. Let a = 2/1091 - -2156/14183. What is the closest to 0.04 in -3, a, c?
a
Let h be 113694/(-594) - 3*4/(-54). Let c = 191 + h. What is the closest to 2/3 in 1/3, -3/5, c?
1/3
Suppose 0*p - 5*p - 5*m - 20 = 0, 0 = -3*p - 5*m - 2. Which is the closest to -1? (a) 0.4 (b) p (c) -2/27
c
Let r = -0.05 + -10.95. Let g = -10.5 - r. What is the closest to 5 in g, 0, -0.5?
g
Let u = -8.488 - -0.188. Let y = 8.3 + u. What is the closest to 1 in y, 0.3, -0.2?
0.3
Let z be 2*35/168*(-9)/30. Let v = -0.1 - -0.3. What is the nearest to 0.2 in -0.2, z, v?
v
Let n = -47 + 115. Let p = n + -66. Which is the closest to -0.1? (a) 0 (b) 3/8 (c) p
a
Let j = 5.6 + -5.3. Suppose 0 = 3*p + 5 - 20, 1 = -3*y + 2*p. What is the closest to -1/2 in j, y, 0.5?
j
Let g = -53 + 54. What is the nearest to g in -4/9, -0.02, 4?
-0.02
Let p = -185 - -188. What is the nearest to -83 in -3, 2/13, p?
-3
Let q be 3 + (-253)/66 + 2/6. What is the nearest to q in -3/2, -0.5, -4/7?
-0.5
Let y be (-24)/(-4) + 46/(-8). What is the closest to 4/9 in 2/7, y, -3?
2/7
Let b = 591 - 589. What is the closest to 0 in b, 5, 8/21, 0.3?
0.3
Let x = 1503/4 + -377. Which is the nearest to 1? (a) x (b) -1 (c) -32
b
Let v = 1.09 + -0.91. Let r = 0.92 + -0.8. Let t = r + v. Which is the nearest to 0.6? (a) 0 (b) 2 (c) t
c
Let x = 11.43 - -0.27. Let d = 5 + -17. Let k = d + x. Which is the nearest to -1? (a) 1 (b) k (c) 2/3
b
Let b = -1085.8 - -1086. Let h = -25 - -35. What is the nearest to h in -2/7, 0.4, b?
0.4
Let n(j) = j**3 - 16*j**2 - 15*j - 28. Let b be n(17). Let a be (10/(-105))/((1/b)/1). What is the closest to 1 in 5, a, -5?
a
Let u be -9 + (-12 + 18)*1. Let d = 0.2 + 0. What is the nearest to u in 4, d, 0.1?
0.1
Let v be (-14)/(1344/40) + (-2)/(-3). Which is the nearest to 1? (a) v (b) -3/7 (c) -2/37 (d) 0.3
d
Let m be ((-4)/(-10))/((-22)/99*3). What is the nearest to -0.1 in 0.2, m, 0.5, -51?
0.2
Let z = 81058263 - 57875434885/714. Let y = z - 3950/17. Let o = -5/6 - y. Which is the nearest to -0.1? (a) -3 (b) o (c) 1
b
Let a = -122.049 - -122. Let v = a - -5.049. Let b = -0.46 - -0.06. What is the closest to -5 in v, 4, b?
b
Let j = -40.1 - -40. Suppose 3*o + t = -4*t + 13, -5*o = -t - 3. What is the closest to 0.2 in o, 4, j?
j
Let d = 0.28 + -0.08. Let w be 0 - (-1 - 1) - 40/18. Which is the nearest to d? (a) -2 (b) w (c) 2/11
c
Let u = 0.7 + -0.2. Let j(h) = -h + h + 4016*h**3 + 5*h**2 - 4015*h**3. Let r be j(-5). Which is the nearest to r? (a) 0.1 (b) u (c) -3
a
Suppose 25*v = 30*v - 10. Which is the nearest to 2/21? (a) v (b) -0.5 (c) -0.3 (d) -2
c
Let s = -1117/120 + 134/15. Which is the nearest to 0? (a) -0.09 (b) -1/5 (c) s (d) 0.4
a
Let i = 0.912 + -1.012. What is the nearest to i in 1, 5, -0.2, -0.7?
-0.2
Suppose x = 4*v - 12, 8*v = 7*v - 3*x - 10. Which is the nearest to v? (a) 9 (b) -1/4 (c) 0.3
c
Let y = 0.03 + 3.97. Let h = 4.441 + -1.441. What is the closest to 1 in 0.2, y, h?
0.2
Let f = 7.3 + -7. Let k = 923/5 - 185. Which is the closest to 1/5? (a) -1/4 (b) f (c) k
b
Let i = 76 - 74.04. Let d = i - -0.04. Which is the nearest to -0.2? (a) 2/5 (b) 0 (c) d
b
Let k be 114/19*(-2)/12. Suppose 3*o - 18 = -3*j, -2*j = 3*o - 22 + 5. Which is the closest to 1? (a) -4 (b) o (c) k
c
Let y = -2361 - -2362. What is the closest to -2/7 in 0, -1, y, -44?
0
Let j = 0.15 - -4.85. What is the closest to 0.08 in -3, j, -4?
-3
Let y = -1.08 - -0.88. Let w = 15/2 + -8. Which is the nearest to w? (a) y (b) -0.4 (c) -5
b
Let r = -386 - -384. Which is the closest to -0.2? (a) -0.76 (b) r (c) -3
a
Let k(z) = -18*z + 91. Let q be k(5). Which is the closest to 2? (a) q (b) 0 (c) 1/2
a
Let a be (6/(-9))/(60/(-36)). What is the nearest to 2/5 in -0.3, a, 83?
a
Let u = 43 - 46. Let y = -0.66 - -3.66. What is the nearest to 1 in u, y, -1/2?
-1/2
Let d = -59 - -65. Let k be (-9)/6 + (-3)/(-3). What is the nearest to k in -2/5, 2, d?
-2/5
Let l = -158 - -1420/9. Let x = 4824 + -4820. What is the closest to 4 in x, -5, l?
x
Let k = -34 + 205/6. Let b = 10 + -10.4. What is the closest to 0 in 2/23, b, k?
2/23
Let i = 0.0639 - -38.9361. Which is the nearest to 1? (a) 2 (b) 0.4 (c) -3/7 (d) i
b
Let t = -32 - -223/7. Suppose 21*s = -2*s - 92. Let q = 809/609 - -1/203. Which is the closest to 2? (a) t (b) s (c) q
c
Let u = 38 - 35.95. Let g = 0.05 - u. Let h = -2.9 - -3. What is the nearest to h in g, 0.4, -5?
0.4
Let s be (-2)/(-4)*(-31)/(-62). Suppose 21 = 4*u - y, 2*u = 4*y - 3*y + 11. Which is the closest to 2? (a) 3 (b) s (c) u
a
Let h = -1 + 1. Let f = -0.1 + h. Let w = 3827 + -3828. Which is the closest to w? (a) -1 (b) 0.3 (c) f
a
Let y = 163 - 163.24. Which is the nearest to y? (a) 0.1 (b) 1/4 (c) 5
a
Let d = 274.5 + -275. Which is the nearest to 1/3? (a) 0 (b) d (c) 1/6
c
Let h = -373.1 + 373. Let x = -25.1 + 25. What is the nearest to x in -3, 0, h?
h
Let v be (-18)/(-8) - (-210)/(-168). What is the closest to 0 in 1/2, 0.07, v?
0.07
Let j = 0.72 - 3.72. Let a = j - -2. What is the closest to 2/5 in a, 0.4, -4/9?
0.4
Let n = 51.6 + -40.6. Which is the closest to -0.1? (a) n (b) -4 (c) 0.2
c
Let d = 16 - 11. Let x be (0 + 84/(-8))/(-25). Let y = x - -2/25. Which is the nearest to 0? (a) d (b) 1/3 (c) y
b
Suppose 1 = 3*p - 2*p. Let n = 3 - -1. Suppose -p - n = o. What is the closest to -2/3 in 0.4, 0.5, o?
0.4
Let g = -0.31 + -8.69. Let z = g - -9. Which is the closest to z? (a) -4 (b) 0.3 (c) -2
b
Let r = -1 + 0.9. Let j = 4.456 - 0.056. Let u = j - 1.4. Which is the closest to r?
|
{
"pile_set_name": "DM Mathematics"
}
|
985.
5946
What is the remainder when 305875582 is divided by 3984?
3982
Calculate the remainder when 10280309 is divided by 3243.
3242
What is the remainder when 1973374 is divided by 144?
142
What is the remainder when 163603 is divided by 2588?
559
What is the remainder when 2141825 is divided by 5852?
5845
What is the remainder when 405393 is divided by 98?
65
Calculate the remainder when 3450273 is divided by 198.
123
Calculate the remainder when 987719 is divided by 429.
161
What is the remainder when 1081052 is divided by 180159?
98
What is the remainder when 337702 is divided by 21100?
102
What is the remainder when 91738 is divided by 30558?
64
Calculate the remainder when 24058182 is divided by 515.
472
What is the remainder when 114569 is divided by 57179?
211
Calculate the remainder when 277008217 is divided by 537880.
17
Calculate the remainder when 25407433 is divided by 8469138.
19
What is the remainder when 5515003 is divided by 23?
17
Calculate the remainder when 106661 is divided by 474.
11
Calculate the remainder when 61447 is divided by 149.
59
Calculate the remainder when 1556977 is divided by 37070.
37
Calculate the remainder when 6544560 is divided by 2948.
0
What is the remainder when 306365 is divided by 12254?
15
Calculate the remainder when 844165 is divided by 281326.
187
Calculate the remainder when 1106619 is divided by 1322.
105
Calculate the remainder when 110457 is divided by 1104.
57
Calculate the remainder when 5151757 is divided by 1636.
1629
Calculate the remainder when 54453472 is divided by 215.
207
Calculate the remainder when 262934 is divided by 256812.
6122
What is the remainder when 42846 is divided by 39026?
3820
Calculate the remainder when 3289513 is divided by 144.
121
What is the remainder when 3723199 is divided by 102?
97
What is the remainder when 1555388 is divided by 6?
2
What is the remainder when 2385716 is divided by 216?
212
Calculate the remainder when 19178430 is divided by 13.
11
What is the remainder when 129797 is divided by 469?
353
Calculate the remainder when 8667599 is divided by 21.
17
Calculate the remainder when 5758800 is divided by 11.
3
Calculate the remainder when 17340337 is divided by 162059.
24
Calculate the remainder when 605570 is divided by 131.
88
What is the remainder when 3518022 is divided by 24?
6
What is the remainder when 34507269 is divided by 275?
269
Calculate the remainder when 192791 is divided by 1785.
11
Calculate the remainder when 24300879 is divided by 235.
234
Calculate the remainder when 195005 is divided by 32375.
755
What is the remainder when 2690838 is divided by 564?
558
What is the remainder when 3788760 is divided by 28?
24
What is the remainder when 277700830 is divided by 27?
25
Calculate the remainder when 3448 is divided by 742.
480
Calculate the remainder when 164100717 is divided by 3686.
3683
Calculate the remainder when 209130503 is divided by 131.
7
What is the remainder when 1690195 is divided by 689?
78
What is the remainder when 4206129 is divided by 4206035?
94
What is the remainder when 1797271 is divided by 542?
541
What is the remainder when 7227362 is divided by 7227360?
2
What is the remainder when 4083457 is divided by 2735?
102
What is the remainder when 16920 is divided by 445?
10
Calculate the remainder when 109315 is divided by 512.
259
Calculate the remainder when 2344619 is divided by 586144.
43
Calculate the remainder when 19326027 is divided by 3.
0
What is the remainder when 5908666 is divided by 318?
226
Calculate the remainder when 6713255 is divided by 6.
5
What is the remainder when 19026041 is divided by 33?
23
Calculate the remainder when 206211639 is divided by 1289.
1286
What is the remainder when 197950 is divided by 7329?
67
Calculate the remainder when 211294 is divided by 210992.
302
Calculate the remainder when 250288 is divided by 948.
16
Calculate the remainder when 266350 is divided by 1028.
98
Calculate the remainder when 61162 is divided by 561.
13
Calculate the remainder when 376455337 is divided by 7.
6
What is the remainder when 784051 is divided by 1914?
1225
What is the remainder when 128842 is divided by 26?
12
Calculate the remainder when 25436304 is divided by 1695752.
24
What is the remainder when 1029903 is divided by 58?
55
What is the remainder when 160034 is divided by 1270?
14
What is the remainder when 2256334 is divided by 781?
25
Calculate the remainder when 883380626 is divided by 9.
8
Calculate the remainder when 616054 is divided by 24641.
29
What is the remainder when 4615 is divided by 920?
15
Calculate the remainder when 3376113 is divided by 1610.
1553
What is the remainder when 6392315 is divided by 735?
20
What is the remainder when 2223658 is divided by 1912?
2
Calculate the remainder when 48644 is divided by 1895.
1269
What is the remainder when 703664 is divided by 2883?
212
What is the remainder when 2556013 is divided by 3770?
3723
Calculate the remainder when 171657 is divided by 727.
85
Calculate the remainder when 9122846 is divided by 1710.
1706
Calculate the remainder when 97807 is divided by 24341.
443
What is the remainder when 13593 is divided by 593?
547
Calculate the remainder when 2331227 is divided by 466244.
7
Calculate the remainder when 3391527 is divided by 347.
296
What is the remainder when 7325031 is divided by 610419?
3
Calculate the remainder when 9071131 is divided by 2753.
2749
Calculate the remainder when 31509543 is divided by 3560.
3543
What is the remainder when 143022 is divided by 141997?
1025
What is the remainder when 4830706 is divided by 4830044?
662
What is the remainder when 40547694 is divided by 20273835?
24
What is the remainder when 9375 is divided by 7887?
1488
Calculate the remainder when 30213160 is divided by 11.
10
What is the remainder when 6897995 is divided by 186?
185
Calculate the remainder when 29605 is divided by 1088.
229
What is the remainder when 794972 is divided by 121?
2
What is the remainder when 17369486 is divided by 211823?
0
What is the remainder when 1022009 is divided by 13257?
1220
What is the remainder when 20022320 is divided by 20022225?
95
What is the remainder when 370152 is divided by 73663?
1837
What is the remainder when 45828008 is divided by 5728497?
32
Calculate the remainder when 10107187 is divided by 3.
1
What is the remainder when 358732232 is divided by 33?
23
What is the remainder when 2423127 is divided by 351?
174
Calculate the remainder when 207682858 is divided by 22.
20
What is the remainder when 5765652 is divided by 45759?
18
Calculate the remainder when 311853408 is divided by 60.
48
Calculate the remainder when 9015228 is divided by 4441.
4439
What is the remainder when 1247175 is divided by 2032?
1559
Calculate the remainder when 33478 is divided by 2044.
774
Calculate the remainder when 5225999 is divided by 522599.
9
Calculate the remainder when 89768196 is divided by 29922732.
0
Calculate the remainder when 102278 is divided by 8.
6
What is the remainder when 4475188 is divided by 172?
92
What is the remainder when 27013602 is divided by 2474?
2470
What is the remainder when 65505214 is divided by 224?
222
Calculate the remainder when 876425 is divided by 5443.
102
Calculate the remainder when 101268 is divided by 6083.
3940
What is the remainder when 17673071 is divided by 25?
21
Calculate the remainder when 21346 is divided by 1158.
502
Calculate the remainder when 1926391 is divided by 1849.
1582
Calculate the remainder when 3744445 is divided by 14.
5
What is the remainder when 1342 is divided by 7?
5
What is the remainder when 90289 is divided by 159?
136
What is the remainder when 861073 is divided by 172184?
153
Calculate the remainder when 62166695 is divided by 331.
261
What is the remainder when 26373118 is divided by 8080?
8078
Calculate the remainder when 2241917 is divided by 525.
167
What is the remainder when 58420652 is divided by 1784?
4
What is the remainder when 10546829 is divided by 76?
5
What is the remainder when 158038 is divided by 529?
396
Calculate the remainder when 11715598 is divided by 1301731.
19
Calculate the remainder when 841219 is divided by 6.
1
Calculate the remainder when 204170 is divided by 6134.
1748
Calculate the remainder w
|
{
"pile_set_name": "DM Mathematics"
}
|
*v**2 wrt v.
2160*v**3
Let f be 2/(-7) - (-120)/28. Suppose -b = 3*b. What is the third derivative of 3*m**2 - f*m**2 + b*m**2 + m**3 wrt m?
6
Differentiate -88*x**2 + 69*x**2 - 4 - 5 - 2 wrt x.
-38*x
Let l(c) = 5*c**4 + 3*c**3 - 3. Let v = 13 - 16. Let y(q) = q**3 + q**2 - 1. Let m(s) = v*y(s) + l(s). What is the third derivative of m(k) wrt k?
120*k
Let r(j) be the first derivative of -j**8/280 + j**4/24 - 2*j**3 - 1. Let b(w) be the third derivative of r(w). Find the first derivative of b(i) wrt i.
-24*i**3
Let y = -10 + 15. What is the second derivative of -2*i + 5*i - i + 5*i**5 - 6*i**y wrt i?
-20*i**3
Let o(g) = -31*g**3 - 14*g**2 - 4*g - 4. Let v(q) = q**2 - q - 1. Let f(j) = o(j) - 4*v(j). What is the third derivative of f(z) wrt z?
-186
Let h(a) be the first derivative of -a**5/30 + a**4/24 - a**2/2 + 2. Let b(j) be the second derivative of h(j). Find the second derivative of b(s) wrt s.
-4
Let j(f) be the second derivative of -f**4/24 - f**3/3 + 5*f**2/2 - 6*f. Let k(g) be the first derivative of j(g). What is the derivative of k(p) wrt p?
-1
Let d(k) = k**4 + k**2 + 1. Let p(w) = 4*w**4 + 6*w**6 + 0*w**2 - 5*w**6 + 4 + w**2. Let c(z) = 4*d(z) - p(z). Find the third derivative of c(r) wrt r.
-120*r**3
Let k(u) be the first derivative of -u**3 - 7*u**2/2 + 5. What is the second derivative of k(p) wrt p?
-6
Let j(i) = -i**3 + 3*i**2 - 32*i - 1. Let h(f) = -2*f**3 + 7*f**2 - 64*f - 2. Let o(z) = -3*h(z) + 5*j(z). Find the second derivative of o(d) wrt d.
6*d - 12
Suppose -5*g = -20, -5*k + 42 - 8 = g. Let h(y) = y**2 - 7*y + 8. Let j be h(k). Find the second derivative of -m + 2*m - 2*m + j*m**4 - 4*m wrt m.
24*m**2
Let u(s) = s - 4. Let r be u(6). Find the second derivative of -4*p + p**r + 9*p**2 - 4*p + 6*p wrt p.
20
Suppose 5 = 3*l - 4. Suppose -2*r + w + 2 = 0, -7 = -5*r - l*w + 5*w. Find the first derivative of 4 + 0*i**3 - i**r - 3 wrt i.
-3*i**2
Let a = 8 - 8. Let v = 7 + -5. Differentiate 0*u**2 + a*u**2 + 2 + 2*u**v with respect to u.
4*u
Let q be 2/3*(-12)/(-8). Let u(w) be the first derivative of -q - 1/3*w**3 - 2/5*w**5 + 0*w**4 + 0*w + 0*w**2. What is the third derivative of u(h) wrt h?
-48*h
Let r be -19 - (-5)/(5/2). Let l(k) = -3*k**3 - 7. Let j(b) = -9*b**3 - 20. Let m(n) = r*l(n) + 6*j(n). Differentiate m(s) with respect to s.
-9*s**2
Let w(u) = -u**3 - 10*u**2 + 11*u + 6. Let i be w(-11). Suppose -2*q = -i - 0. Find the third derivative of s**4 + s**4 + q*s**2 - 5*s**2 wrt s.
48*s
Let d(h) = h**5 - 2*h**3 + 3*h**2. Let x(m) = m**5 - 3*m**3 + 3*m**2. Let s = -3 + 0. Let j(r) = s*d(r) + 2*x(r). What is the third derivative of j(i) wrt i?
-60*i**2
Find the second derivative of -61*i**5 - 32*i + 19*i**5 + 10*i + 0*i wrt i.
-840*i**3
Find the second derivative of 3 + 2*l + 3*l - 6*l**3 - 3 wrt l.
-36*l
Let h(o) be the first derivative of 5*o**4/2 - 4*o**2 + 10. What is the second derivative of h(m) wrt m?
60*m
Suppose 0 = 3*v + 3. Let q be v - (-2 - 0) - -1. What is the third derivative of -x**q + 4*x**2 + 0*x**5 - x**5 - 2*x**2 wrt x?
-60*x**2
Find the second derivative of 19*o**2 - 8*o**2 + 0*o - 5*o wrt o.
22
Let v(q) = 20*q - 12. Let u(s) = -8*s. Let l be u(1). Let z be (5/(-2))/(4/l). Let i(r) = -13*r + 8. Let n(y) = z*v(y) + 8*i(y). Differentiate n(f) wrt f.
-4
Let x(y) = -6*y**6 + 2*y**4 + 7*y**2 - 2*y. Let f(r) = -7*r**6 + 3*r**4 + 8*r**2 - 3*r. Let q(o) = 2*f(o) - 3*x(o). Find the third derivative of q(d) wrt d.
480*d**3
Find the second derivative of 9*q + 5*q**5 - 5*q + 0*q**5 - q**5 wrt q.
80*q**3
Let a = -7 + 14. Find the second derivative of 9*i - a*i + 8*i + 5*i**3 wrt i.
30*i
Let p be (-2)/(-9) + 80/45. Find the second derivative of q**p + 5*q - 9*q + 5*q wrt q.
2
Let d = -7 + 13. Suppose -w = 2*z + 6, -3*z = 2*w - d*w + 20. What is the third derivative of q**2 + 4*q**3 - w*q**3 - 2*q**2 wrt q?
12
Let b(v) be the first derivative of -4*v**6/3 + v**3 + 9. Find the third derivative of b(i) wrt i.
-480*i**2
Let o(q) be the third derivative of q**9/15120 - q**5/40 + q**4/12 - 2*q**2. Let z(y) be the second derivative of o(y). What is the derivative of z(n) wrt n?
4*n**3
Differentiate -7*b**2 + 5*b**2 - 9 - b**2 wrt b.
-6*b
Let d(l) be the second derivative of l**6/3 + 8*l**3/3 + 14*l. What is the second derivative of d(x) wrt x?
120*x**2
Let v(m) = -64*m**2 - 27*m - 6. Let k(r) = -63*r**2 - 28*r - 5. Let y(i) = 6*k(i) - 5*v(i). Find the second derivative of y(x) wrt x.
-116
Let c(s) = -6*s - 24. Let v(t) = 2*t + 8. Let o = 9 + -4. Let w(m) = o*c(m) + 14*v(m). Differentiate w(z) wrt z.
-2
Let n = 3 - 3. What is the third derivative of n*t**2 + 5*t**2 + 0*t**2 + 3*t**6 wrt t?
360*t**3
Let n(m) = -4*m**2. Let g be n(1). Let w = 7 + g. What is the second derivative of p + 3*p**3 + 2*p**5 - w*p**3 wrt p?
40*p**3
Let s(u) = u**2 + 2*u - 6. Let b(g) = -2*g**2 - 3*g + 7. Let k(q) = -2*b(q) - 3*s(q). Differentiate k(y) wrt y.
2*y
What is the second derivative of 10*y - 28*y + 28*y - 18*y**2 wrt y?
-36
Let w(i) be the second derivative of -1/3*i**4 + 0*i**5 + 0 + 1/10*i**6 + 0*i**2 + 2*i + 0*i**3. What is the third derivative of w(a) wrt a?
72*a
Let a(j) be the first derivative of -7*j**6/6 + j**3 - 5. What is the third derivative of a(u) wrt u?
-420*u**2
Let f(a) = -91*a - 110. Let x(k) = -46*k - 55. Let b(u) = -3*f(u) + 7*x(u). What is the first derivative of b(r) wrt r?
-49
Let b(m) be the second derivative of 11*m**7/42 + 7*m**3/3 + 5*m. Find the second derivative of b(s) wrt s.
220*s**3
Find the first derivative of 4 + 4*z - 2 + 4 wrt z.
4
What is the third derivative of -66*h**2 + 11*h**2 - 1 + 25*h**2 - 49*h**6 + 18*h**2 wrt h?
-5880*h**3
Let q(s) be the second derivative of 11*s**4/12 + 3*s**3/2 + 12*s. What is the second derivative of q(k) wrt k?
22
Let d(n) be the third derivative of -n**10/1680 + n**6/90 - n**3/3 - 2*n**2. Let l(g) be the first derivative of d(g). Find the third derivative of l(j) wrt j.
-360*j**3
Suppose 2*c = -3*c + 15. Let q = 4 + -2. What is the third derivative of q*l**2 + l**c + 0*l**3 - 2*l**3 wrt l?
-6
Let t be (-119)/(-7) - (-1 - 1). Suppose 8*l - 29 = 3*l - 3*j, -4*l = j - t. Differentiate -2*h**3 + 1 - 4*h**3 + l*h**3 with respect to h.
-6*h**2
Let g(h) = -11*h**3 - 16*h**2. Let v(u) = -11*u**3 - 15*u**2. Let b(r) = 5*g(r) - 6*v(r). What is the third derivative of b(i) wrt i?
66
Let l(w) be the second derivative of w**5/120 + 5*w**4/24 - w**3/3 + 4*w. Let h(k) be the second derivative of l(k). What is the first derivative of h(d) wrt d?
1
Let p(y) be the second derivative of -2*y - 1/3*y**3 + 5/2*y**2 + 0. Find the first derivative of p(h) wrt h.
-2
Find the second derivative of -10*q**5 - 197 + 197 - 23*q wrt q.
-200*q**3
Suppose 3*t = -x + 14, -4*x - t + 12 + 0 = 0. Find the third derivative of -x*r**4 + 2*r**6 + 2*r**4 - 3*r**6 + 2*r**2 wrt r.
-120*r**3
Let y(v) be the first derivative of -v**3 + v - 4. What is the first derivative of y(g) wrt g?
-6*g
Let u(y) = 2*y + 10. Let n(q) = -1. Let r(i) = -4*n(i) + u(i). Differentiate r(w) wrt w.
2
Let m(i) = -i**4 - i**3 + i - 1. Let t(f) = -5*f**4 - f**3 + 6*f - 1. Let j(k) = -m(k) + t(k). What is the second derivative of j(w) wrt w?
-48*w**2
Let h = 33 - 26. What is the first derivative of -h*n**3 + 3 + 0*n**3 + 3*n**3 wrt n?
-12*n**2
What is the second derivative of -2*x + 4*x**4 + x**4 + x**4 - x wrt x?
72*x**2
Let c(p) = -p**4 - 3*p**3 - 3*p**2 - 3*p - 2. Let m(g) = -g**4 - 2*g**3 - 2*g**2 - 2*g - 1. Let y(x) = -2*c(x) + 3*m(x). Differentiate y(l) wrt l.
-4*l**3
Let m(f) = -6*f**4 - 30*f**3 - 30*f**2 + 24. Let o(w) = w**3 + w**2 - 1. Let k(v) = m(v) + 30*o(v). What is the first derivative of k(r) wrt r?
-24*r**3
Find the second derivative of -9*y + 495*y**4 - 4*y**3 - 26*y - 493*y**4 wrt y.
24*y**2 - 24*y
Let l(x) = -x**2 - x. Let r(f) = 3*f**3 + 9*f**2 + 3*f. Let h(i) = -18*l(i) - 2*r(i). What is the second derivative of h(v) wrt v?
-36*v
Suppose 0 = -2*q + 6 + 8. Let l = q - 5. What is the first derivative of 2 + 0 - 5 - z**4 + l*z**4 wrt z?
4*z**3
Let a = 4 - 1. What is the second derivative of -7*k**a - 7*k - 3*k + 6*k wrt k?
-42*k
Let c be ((-5)/4)/(7/(-28)). Find the first derivative of c*r + 2*r - 2 - 5*r wrt r.
2
Let x(j) be the second derivative of -j**5/20 - 13*j**2/2 - 15*j. What is the derivative of x(f) wrt f?
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
45 or -56750?
-56645
Is -1 < 14/360821147?
True
Is -5/6738118 at most as big as 0?
True
Is 456374 at least 456374?
True
Which is bigger: -75399494 or -75399495?
-75399494
Which is smaller: 5556 or -68.7?
-68.7
Which is bigger: 10247955 or 10247950?
10247955
Is 0 != -41313807?
True
Is 1 greater than or equal to -52/3023115?
True
Which is smaller: 5/2439013 or 0?
0
Are 48177472 and 48177472 unequal?
False
Is -322002 less than -322048?
False
Is 1 > 1678/1013?
False
Is -151939 greater than or equal to -151944?
True
Which is smaller: -1439081 or -1439195?
-1439195
Is 54528 <= 54162?
False
Which is smaller: -118 or -1586048?
-1586048
Which is smaller: 0.077 or -1107826/7?
-1107826/7
Which is greater: 1/180582 or 1?
1
Is 602619 bigger than 5423582/9?
False
Which is bigger: 7078 or 6090?
7078
Which is bigger: 122375137 or -1?
122375137
Which is smaller: -217/159903 or 0?
-217/159903
Which is smaller: -8133.45 or 17?
-8133.45
Is -11202517 > -11202523?
True
Are -4343793 and -4343793 non-equal?
False
Do -53668133/25 and -2146724 have different values?
True
Is 448202963/7 != 64028996?
True
Which is smaller: 795 or 747374/941?
747374/941
Which is smaller: -17158 or -15878?
-17158
Is -1862531 > -1862506?
False
Which is bigger: 264683292 or 264683288?
264683292
Is -4149 bigger than -363.31?
False
Which is smaller: -194760052 or -194760055?
-194760055
Which is smaller: 301816 or 536?
536
Do 57913187 and 57913194 have the same value?
False
Is 7212 not equal to -19219?
True
Is 41914344 greater than 125743031/3?
True
Are -0.014 and -986576 non-equal?
True
Is -22 < 201.233?
True
Is 12994162 > -0.056?
True
Is -1/3 not equal to -0.4267166?
True
Which is smaller: -11549 or -252?
-11549
Which is greater: -1360/419969 or -1?
-1360/419969
Is -3277408 less than -3277433?
False
Is 343 smaller than -32634?
False
Which is bigger: -483 or -8717/18?
-483
Does 0 = 1/199374222?
False
Which is greater: -205930257 or -205930255?
-205930255
Is 172104 > 172224?
False
Which is bigger: -610936 or -610941?
-610936
Which is smaller: -4137458/49 or -84438?
-84438
Which is smaller: -2290642 or -2290598?
-2290642
Is -98485530 > -98485530?
False
Is 2/2519798519 != 0?
True
Which is bigger: -1/16 or 1533.307?
1533.307
Is -323 greater than -12/1237?
False
Is 0 bigger than 2/16145243?
False
Is -120 less than -555700/4669?
True
Do -4093535 and -4093457 have different values?
True
Which is greater: 56791071 or 56791094?
56791094
Is 172005750/13 > 13231211?
True
Which is smaller: 90475 or 189?
189
Is -85029/12494 smaller than -6?
True
Which is smaller: -1466/3037 or 1?
-1466/3037
Is -2 less than 1228.437?
True
Which is smaller: 4912123 or 4912125?
4912123
Is 34762 bigger than 1494726/43?
True
Which is smaller: 12626261 or 12626257?
12626257
Is -9/1402967 not equal to 1?
True
Is -216/583 greater than or equal to 74?
False
Does -468/495023 = 0?
False
Which is smaller: 178386 or 177550?
177550
Which is smaller: -432 or 13/62897?
-432
Which is bigger: 8 or 39322/5403?
8
Which is bigger: 3131/6751 or 1?
1
Is 143 greater than or equal to 531111/2?
False
Do -524480 and 1/17 have the same value?
False
Which is greater: -18319416 or -18319412?
-18319412
Is -20602 at most -20856?
False
Is 2/135007949 != 1?
True
Is -1 at most -19/723210?
True
Which is bigger: 1 or 916/202727?
1
Is -2492919 greater than or equal to -56?
False
Which is greater: 8159769 or -0.07?
8159769
Is -15916 not equal to -16138?
True
Are -18381819 and -18381817 equal?
False
Which is bigger: -171783 or -171799?
-171783
Which is bigger: -5/31939992 or 0?
0
Which is bigger: -14507256 or 1?
1
Does 4386/7315 = 2?
False
Which is smaller: 2/1475 or 2601.6?
2/1475
Do -14295937 and -14295904 have the same value?
False
Which is smaller: 1.0659 or 2104?
1.0659
Which is greater: 3461959 or 3462203?
3462203
Which is greater: 126259402/13 or 9712263?
9712263
Is -22486 <= -21839?
True
Which is bigger: 92199 or 92607?
92607
Which is smaller: 2831.5 or 20?
20
Which is greater: -1059458 or -45556674/43?
-45556674/43
Is 909270 less than 909273?
True
Is 256956 at most 256796?
False
Is 3945223 at most as big as 3945291?
True
Which is bigger: -790/185359 or 1?
1
Which is smaller: 1 or 1/1207896?
1/1207896
Is 42472/2043 smaller than 20?
False
Is -10 less than or equal to 11601994?
True
Are 548532/1055 and 520 equal?
False
Which is bigger: -89478 or -91943?
-89478
Do 3919/15406 and 0 have different values?
True
Which is smaller: 1545388 or 1545283?
1545283
Which is smaller: -2/7 or -50.138732?
-50.138732
Is -404 <= -233116?
False
Is 17677625 bigger than 17677625?
False
Is 111053426 less than 111053426?
False
Which is greater: 2/95 or -0.013563?
2/95
Which is greater: -2902593 or -2902605?
-2902593
Which is greater: 4583 or -0.0959?
4583
Which is bigger: -76338/25 or 0.1?
0.1
Do -2137886 and -2137889 have the same value?
False
Are -3809 and -247667/65 nonequal?
True
Which is greater: -13 or -31961/2379?
-13
Is -1167 smaller than 259041?
True
Is 41818316 greater than or equal to 41818317?
False
Which is greater: 2 or -3/1362085?
2
Which is smaller: -4136 or 3123?
-4136
Is 0 at most -30506/138531?
False
Which is smaller: -3948892 or -3948890?
-3948892
Which is bigger: -41073646 or -41073637?
-41073637
Are 1165417 and 1165704 equal?
False
Is 1/588868579 >= -1?
True
Which is smaller: 2/3 or 712674?
2/3
Which is bigger: 33436/14163 or 1?
33436/14163
Which is smaller: 458 or -730?
-730
Is -34423292 at most -34423290?
True
Is -24366678 <= -24366688?
False
Which is bigger: 0 or 47/574122?
47/574122
Is 36 at least as big as 587123?
False
Which is smaller: 0 or -20183/29918?
-20183/29918
Is -5/6 bigger than 154504?
False
Is 0 greater than -5192/209035?
True
Which is bigger: 561042 or 560997?
561042
Is 10734.23 less than 6?
False
Is 98277 equal to -2993?
False
Which is smaller: -545465 or -78?
-545465
Which is smaller: -13233240/11 or -1203021?
-13233240/11
Which is greater: 451 or -4335?
451
Is -4226 < -2311281/547?
True
Which is bigger: -243574575 or -243574572?
-243574572
Are -19/1363564 and 0 unequal?
True
Is -1809 > -432186/239?
False
Are -18 and -7770/439 equal?
False
Are -19/1621770 and -1 equal?
False
Is 1/83 at most as big as -169/688?
False
Is 157328 bigger than 157209?
True
Which is smaller: -1994726/27 or -73878?
-1994726/27
Which is smaller: -27411 or 3.46?
-27411
Is 517508038 smaller than 517508039?
True
Is -42978834 >= -42978834?
True
Which is smaller: 3245 or 197916/61?
197916/61
Is 198326 < 0.1022?
False
Which is greater: -4 or 29.3941?
29.3941
Which is smaller: -689174 or -689159?
-689174
Which is smaller: 475 or -46.7744?
-46.7744
Which is smaller: 556.93 or -0.314?
-0.314
Which is bigger: 1 or -3347/21390?
1
Is -16/1397 <= -35384?
False
Which is bigger: -171198195 or -171198194?
-171198194
Is -342016 >= -341988?
False
Which is greater: -1032/165209 or 1?
1
Which is greater: -2/5 or 10.7934355?
10.7934355
Which is greater: 0 or -1/160646824?
0
Is 1 at least -1/882584273?
True
Is 9473 less than or equal to 59547?
True
Which is bigger: -437 or -1476?
-437
Which is smaller: -2078088 or 4?
-2078088
Is -8/26167 at least 3/5?
False
Is -215032 greater than or equal to 1644?
False
Is 66618318 greater than or equal to -0.1?
True
Is 51047/677 at most 74?
False
Is -23444 at least -23619?
True
Is 13309 not equal to 16088?
True
Which is bigger: -286087 or -286111?
-286087
Which is smaller: -631/919 or 0?
-631/919
Which is greater: -1 or -2/18537783?
-2/18537783
Which is greater: 1 or -130/847687?
1
Is 0 not equal to 14073834?
True
Which is smaller: 4796 or 800954/167?
4796
Is -1 less than or equal to 862/59361?
True
Which is bigger: -226/147145 or -1?
-226/147145
Which is smaller: -0.1 or 2/52672637?
-0.1
Which is smaller: 0 or -961/140991?
-961/140991
Is 0 at most as big as 1306/21603?
True
Is -43062713 greater than -43062712?
False
Which is bigger: 0 or 876/50047?
876/50047
Which is bigger: -2989891 or -2989884?
-2989884
Is -944366981 not equal to -944366982?
True
Which is smaller: 41283 or 56220?
41283
Which is smaller: 2/5 or -1/11092759?
-1/11092759
Is 70951281 <= -0.1?
False
Which is smaller: 2/16014945 or -1?
-1
Is -54056917 > -54056917?
False
Which is smaller: -2/149507 or 125?
-2/149507
Which is bigger: 204366 or -0.653?
204366
Is 57 < -7.945?
False
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
t u = w + -356.6. What is the closest to d in 0.05, 2/9, u?
u
Let c = 10086.6 - 10086.5. Let p = 0.6 - 1. Let a = p + -0.6. What is the nearest to c in -6, a, 0.1?
0.1
Let a = 1048 + -1041. What is the closest to 2 in a, -0.3, -5, 4?
4
Let r be 16/(-4)*(-2)/2. Let j = 22 + -38. Let o = -16 - j. What is the closest to -1 in o, r, 3?
o
Let r = -217/4 + 54. What is the nearest to r in -3/8, 3, 4?
-3/8
Let u = 44 + -45. Let i = 4.99 + -5. Which is the closest to u? (a) i (b) -0.05 (c) 0
b
Let y(m) = 6*m - 203. Let t be y(33). What is the closest to 27 in t, -0.1, -1?
-0.1
Let g = 4 + -3.8. Let l = 0.19 + -4.19. Let a = -0.0955 - -0.0055. What is the nearest to a in g, l, 1?
g
Let h = 8.1 - 8. Let s be 257 - (-2 + 7)/(1 - 2). Let l = 261 - s. What is the closest to 2/5 in -5, l, h?
h
Let j = -18.7959 - -18.3959. Suppose -4*g = 5*p - 12 - 8, 2*p = 0. Let l = -10 + g. Which is the nearest to l? (a) -4 (b) j (c) 4/3
a
Let a = 3.96 + 0.04. Let c(t) = -t**3 + 3*t**2 + t + 12. Let r be c(4). Let o be ((r - 0) + 2)*(-9)/(-27). What is the closest to a in 0, -4, o?
o
Let k(a) = -a**3 - 5*a**2 + 20*a + 19. Let m be k(-6). Let h = m - -131/2. What is the nearest to h in -3, 1/3, -9?
1/3
Suppose -5*v - 25 = 5*o, -4*v = -5*o - v + 15. Let f = -43836 - -43831. What is the closest to -0.1 in o, f, -1?
o
Let s = 0.01 - 3.01. Let u = s + 3.5. Let h = 601935 - 601944. Which is the nearest to 3? (a) 0.3 (b) h (c) u
c
Let h = -0.2 + -0.8. Let u = 17 - -231. Let j = u + -248.1. Which is the closest to 1? (a) -6 (b) j (c) h
b
Let u = -33.29 - -33.19. What is the nearest to -1/2 in -1, u, -5, -0.5?
-0.5
Let i be 1*((-9)/3 - 1). Let m be 60/((-36)/(-21) + (-16)/8). Let q = m - -207. What is the nearest to -3 in q, i, 2/11?
q
Let b = 3203/3 - 1068. What is the nearest to -1 in 0, b, 0.17?
b
Let q = -79.92 + 79.92. What is the nearest to q in 143, -5, -2/9, -1/6?
-1/6
Let l = -1 - -1. Suppose -s + 0*h + 5*h - 14 = 0, 30 = -5*s + 5*h. Let r = 36.814 - 36.914. What is the nearest to l in s, r, -5?
r
Let v = 424.1 + -448. Let o = -25.9 - v. What is the closest to 1 in o, 1, -1/23?
1
Let d = -955236 + 881682738/923. Let i = d - 4/71. What is the nearest to -0.2 in -4, 0, i?
i
Let i(h) = -140*h + 17368. Let p be i(124). Which is the closest to 0.1? (a) p (b) 0.34 (c) 0.6
b
Let q = -9 - -14. Let n = 5193/4 - 36353/28. Let s = -3 - -3.1. Which is the closest to 2/3? (a) q (b) s (c) n
b
Let x = -14866 + 14863. Which is the closest to -23? (a) x (b) -4 (c) -0.4
b
Let t = 16 + -14. Let a be (3/(-6))/(2/12). Let h = -20696 - -20693. What is the nearest to a in h, -0.2, t?
h
Let g = 110.7 + -108.7. Let k be (2/(-4))/(13/4). What is the closest to 0.7 in k, -1/6, g?
k
Let t(x) = -2*x**2 - 43*x - 32. Let l be t(-17). Let r = -127 + l. Which is the nearest to r? (a) -1/4 (b) -2/9 (c) 3
a
Let s = -64755/7 - -9251. Which is the closest to 47? (a) 3 (b) 7 (c) s
b
Let k = -7 + 11. Let q = 0.02 + -0.32. Suppose 4*t = -2*b + 12, 5*b = 3*t + 47 + 22. What is the closest to t in q, k, -1/2?
-1/2
Let m be 45/72*(-6)/(-5). What is the nearest to -23 in -0.1, m, 3, 0.11?
-0.1
Let k = 25.33 + -1375.33. Let u = k + 1346. Let z = -11/9 + 5/9. What is the closest to -5 in 1, z, u?
u
Let j be 9/(-6)*4 + 120/8. What is the nearest to j in -1/4, 2, -2/7, -2/13?
2
Let n = 0.9 + 0.1. Let i = -1 - n. Let h be (-11)/(55/15) + -10 - -13. Which is the closest to i? (a) h (b) -5 (c) 5
a
Let i = -410 - -6148/15. Let z = -6.2 - -5.7. Which is the nearest to i? (a) 1/2 (b) z (c) -0.3
c
Let d = -478/5 - -96. Let w = -254187/13 + 19553. What is the nearest to -2 in w, -4, d?
-4
Let p = 715.6 + -716.6. What is the closest to p in 0.5, -5, 20, 3/2?
0.5
Let y = -407.3 + 407.3. Which is the closest to y? (a) 4/5 (b) 0.4 (c) 0.2
c
Let n = -50 - -47. Let s = -1.111 + 2.111. What is the nearest to n in s, -16, -1/10, -4?
-4
Suppose 452394*t = 452380*t - 14. Which is the closest to -1? (a) -2/3 (b) t (c) 0 (d) 2.96
b
Let o = -6517 + 6517.2. Which is the closest to -2? (a) 0.4 (b) -0.4 (c) o (d) 23/9
b
Let x = -47 + 47.6. Suppose 0 = -u - 2*u. Let d be 3/(2 - u - -2). Which is the nearest to d? (a) x (b) -2/13 (c) -0.2
a
Suppose -137*d = -122*d - 360. What is the closest to 2/9 in 1/2, d, -2?
1/2
Let j = -3/260 - -147/65. Let g = -1.294 - -0.294. Which is the nearest to g? (a) j (b) -0.4 (c) -2
b
Let b = -30641.1 + 30641. What is the nearest to b in -0.1, -0.5, -5, 1.54?
-0.1
Let g = -1.439 + 1.32. Let y = g + 0.019. Let m = 28 - 29. Which is the closest to m? (a) 3 (b) -2/5 (c) y
b
Let s = -6 - -31. Suppose 5*j - y + 10 = 0, 4*y + s = -y. Let g(f) = -3*f - 11. Let n be g(j). Which is the nearest to -0.1? (a) 1/8 (b) -11 (c) n
a
Suppose 2*s + 8 = t + 16, 4*s = 16. Which is the nearest to -2/7? (a) 2/5 (b) t (c) -495 (d) -2
b
Let y = 82 - 575/7. Let z = -4.2 + 4. Let h = -269/1064 + 3/1064. Which is the nearest to z? (a) 0.2 (b) h (c) y
b
Suppose 44*f - 395 = 186*f - 5081. Let i = -0.1 - -0.3. Which is the nearest to i? (a) 1 (b) f (c) -5
a
Let o = -24 + 19. Let l = -2482 - -2481.98. Which is the closest to -2? (a) o (b) l (c) 0.1
b
Let d = -14969 - -14964. Which is the nearest to 0.2? (a) 7 (b) d (c) -9
b
Suppose -14 = 5*g - 4. Let n(h) = -h - 6. Let i be n(-3). Let f = -218 + 223. What is the nearest to 0 in i, f, g?
g
Let n(k) = 3*k**2 + 29*k - 11. Let y be n(-10). Let g = 8.3 - 12.3. Which is the nearest to -24? (a) y (b) -0.2 (c) g
c
Let f = 5905 + -5898. What is the closest to -1 in f, -6, -3, 1/4?
1/4
Let l = -337 - -333.39. Let w = -1.81 - l. Which is the nearest to 0.3? (a) -0.4 (b) w (c) -0.1
c
Let d = -0.042614 + 0.542614. Let t = -2.2 + 0.2. Which is the closest to t? (a) 1/5 (b) -2/5 (c) d
b
Let k = -28 + 28.05. Let r = 0.25 - k. Let y = 4.4 + -3.4. Which is the nearest to y? (a) r (b) 0 (c) 1/3
c
Let c be ((-2)/3)/((-1225)/(-1050)). What is the nearest to -0.2 in -470, c, 1?
c
Suppose -3*r - 5*u - 26 = 0, 2*r + u + 10 = -r. Let h be (2/(-4))/(5/80*r). Let f = 20 + -20.2. What is the closest to 1/2 in h, f, -0.5?
f
Suppose 63*w - r - 26 = 68*w, r - 4 = 5*w. Let s = -1 + -1. What is the nearest to 2 in -0.1, w, s, 39?
-0.1
Let j = -7760.7 + 7761. What is the nearest to 2/7 in -158, j, -1/3?
j
Let p = 359 + -354. Let y = 0.07 + 0.03. Let o = 32 + -23. Which is the nearest to -0.1? (a) o (b) p (c) y
c
Let l = -22 + 21.5. Let b = -29348 - -29349.1. What is the nearest to 2/3 in -2, l, b?
b
Let x = 516 + -202. Let m = 312 - x. What is the closest to m in -0.05, -5, -10?
-0.05
Let m be (-3)/2*(-16)/36. Let r = -209497/7 - -29928. What is the closest to m in r, -1/4, 0.4, -5?
0.4
Let h = -19.7 + 2.7. Let z = 25743 - 25741. What is the nearest to -1/2 in z, 0.1, h?
0.1
Let t = -0.3289 + 348.3289. What is the closest to 0 in 2, 4, 3, t?
2
Let x = 3388 + -3388.1. Which is the nearest to x? (a) -0.3 (b) -6 (c) 2/11 (d) 3/8
a
Let s = -1418/45 - -280/9. Let p = 221 - 221. Let m = 0.04 + 0.26. Which is the nearest to 0? (a) p (b) s (c) m
a
Let r = 31.79 + -33.79. What is the closest to -0.11 in -0.5, r, 4?
-0.5
Suppose i - 29 = 12*l - 10*l, -4*i = 28. Which is the nearest to 2? (a) -3 (b) l (c) 1/2
c
Let j = -79.094 + 79. Let f = -3.694 - j. Let d = 3.4 + f. What is the closest to d in 2/9, 3, -3?
2/9
Let h = 1/12387 - 49565/210579. What is the nearest to 3 in h, 0.5, -6?
0.5
Let a = 71.18 - -1.82. Let b = a - 74. Let q = -78 + 544/7. What is the nearest to -1 in 0.5, b, q?
b
Let u(t) = 2*t**3 - 103*t**2 - 265*t - 269. Let s be u(54). What is the nearest to s in -4, -7/5, 1/388?
1/388
Let j = 0.1608 + 0.8392. Let v be -2 - (28/9)/(-2). Which is the closest to j? (a) -24 (b) -4 (c) v
c
Let t = 1.3 - 1.4. Let g = -1363 - -1360. Which is the closest to g? (a) -2/21 (b) 5 (c) t
c
Let i = 149 - 150. Let v = 23 - 14. Which is the nearest to 1? (a) -3 (b) i (c) v (d) 2/15
d
Let k = -32.0248 + 0.0248. What is the closest to -0.1 in k, -4/5, 2, -1/6?
-1/6
Let s = -0.08899 + 0.08899. What is the closest to -0.8 in s, -15, 2, 1/3?
s
Let q be ((-16)/34)/(-4) + 294/102. Let r = 130.9 - 131. Which is the nearest to r? (a) -2 (b) q (c) -14
a
Let q = 93.7 + -13.7. Let l = 80.08 - q. Which is the closest to -0.3? (a) 2/3 (b) 0.4
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from {n: 7, q: 12}. Give prob of sequence qq.
22/57
Two letters picked without replacement from {f: 1, i: 2}. Give prob of sequence if.
1/3
Three letters picked without replacement from ngtiiutuinnuiiivti. Give prob of sequence ini.
7/272
Two letters picked without replacement from {d: 2, l: 1, b: 1}. What is prob of sequence dl?
1/6
What is prob of sequence zt when two letters picked without replacement from {p: 2, z: 1, t: 3, c: 1}?
1/14
Four letters picked without replacement from ddvbbdbdybdbgvb. Give prob of sequence dybg.
1/1092
Two letters picked without replacement from lrtlolr. Give prob of sequence lt.
1/14
Calculate prob of sequence sex when three letters picked without replacement from xxspphxespx.
4/495
Three letters picked without replacement from {c: 1, h: 2, p: 4}. Give prob of sequence cph.
4/105
What is prob of sequence qiwx when four letters picked without replacement from xwqxxqiqwxixqii?
4/819
Two letters picked without replacement from {d: 10, q: 10}. What is prob of sequence dd?
9/38
What is prob of sequence hhs when three letters picked without replacement from hshzgxb?
1/105
Two letters picked without replacement from ssssddzddss. Give prob of sequence ss.
3/11
Two letters picked without replacement from cvvvvvvvvvvv. Give prob of sequence vc.
1/12
Three letters picked without replacement from nnyuquuqui. Give prob of sequence yni.
1/360
Four letters picked without replacement from {p: 10, a: 1, c: 2, t: 1, n: 3}. What is prob of sequence tncc?
1/9520
Three letters picked without replacement from gnnsvurs. What is prob of sequence suv?
1/168
Calculate prob of sequence yuu when three letters picked without replacement from {t: 2, u: 4, y: 1, o: 7}.
1/182
Calculate prob of sequence sm when two letters picked without replacement from iusumulmumm.
2/55
What is prob of sequence gagx when four letters picked without replacement from gyxxxyxyagyxx?
1/1430
Four letters picked without replacement from ookook. What is prob of sequence ookk?
1/15
Three letters picked without replacement from {s: 4, l: 7}. What is prob of sequence lll?
7/33
Two letters picked without replacement from {z: 1, d: 2, b: 2, x: 1}. What is prob of sequence bd?
2/15
What is prob of sequence wzw when three letters picked without replacement from wzzizizwm?
1/63
Four letters picked without replacement from {c: 6, h: 3, n: 2, a: 1, b: 2, o: 1}. Give prob of sequence chna.
1/910
What is prob of sequence ndz when three letters picked without replacement from {w: 1, d: 3, z: 1, s: 3, n: 1, q: 10}?
1/1938
What is prob of sequence hjh when three letters picked without replacement from jjjjjjhjjhjhjjhjjhj?
140/2907
What is prob of sequence db when two letters picked without replacement from {c: 2, d: 2, b: 2, x: 2, i: 4}?
1/33
What is prob of sequence ja when two letters picked without replacement from dadnyjjnndjndyyy?
1/80
What is prob of sequence iq when two letters picked without replacement from {i: 2, q: 2, j: 1, g: 10, v: 4}?
2/171
Four letters picked without replacement from ttyttttttttyt. Give prob of sequence tttt.
6/13
What is prob of sequence tt when two letters picked without replacement from aaatta?
1/15
Two letters picked without replacement from ethheq. What is prob of sequence tq?
1/30
What is prob of sequence cx when two letters picked without replacement from {f: 3, x: 1, c: 4, q: 2, e: 1}?
2/55
What is prob of sequence hth when three letters picked without replacement from {i: 1, t: 1, h: 2}?
1/12
Calculate prob of sequence au when two letters picked without replacement from auv.
1/6
Calculate prob of sequence zw when two letters picked without replacement from awtttmazt.
1/72
Four letters picked without replacement from zzzz. What is prob of sequence zzzz?
1
Four letters picked without replacement from zzjttzzjjjjztztjz. Give prob of sequence jjzz.
3/136
Calculate prob of sequence zl when two letters picked without replacement from {d: 10, l: 1, y: 1, z: 3, f: 1, n: 3}.
1/114
What is prob of sequence pppg when four letters picked without replacement from vvppivppgv?
1/210
Calculate prob of sequence ioi when three letters picked without replacement from nviio.
1/30
Calculate prob of sequence qzzo when four letters picked without replacement from zsqqqzqqqqqqoq.
5/6006
Calculate prob of sequence etg when three letters picked without replacement from {t: 1, g: 2, e: 2}.
1/15
Calculate prob of sequence trr when three letters picked without replacement from rtzrtzrtrhrhrzhhthtz.
5/228
Four letters picked without replacement from amhhhahmamhhammyhm. What is prob of sequence hmyh?
7/2040
Calculate prob of sequence qa when two letters picked without replacement from oktoctoqkooccaockko.
1/342
Three letters picked without replacement from hhqhq. Give prob of sequence qhh.
1/5
Two letters picked without replacement from {d: 1, g: 2, a: 2, k: 1}. What is prob of sequence gg?
1/15
Calculate prob of sequence aa when two letters picked without replacement from {z: 2, a: 4, v: 2}.
3/14
What is prob of sequence ttdn when four letters picked without replacement from tndt?
1/12
Four letters picked without replacement from {t: 3, i: 2, x: 5}. What is prob of sequence xiti?
1/168
What is prob of sequence so when two letters picked without replacement from {s: 4, o: 2}?
4/15
Three letters picked without replacement from {z: 1, j: 2, m: 6, o: 4, n: 2}. What is prob of sequence zom?
4/455
What is prob of sequence txxt when four letters picked without replacement from xtxtxtt?
3/35
Two letters picked without replacement from {g: 4, d: 9, s: 4, x: 3}. Give prob of sequence xs.
3/95
Three letters picked without replacement from zzzzjkjkzzzzzzz. What is prob of sequence kjz?
22/1365
Two letters picked without replacement from {s: 18, z: 1}. Give prob of sequence ss.
17/19
What is prob of sequence ww when two letters picked without replacement from {w: 7, v: 1, u: 3, q: 2, l: 6}?
7/57
Two letters picked without replacement from araraaaaaaraaqrrarr. Give prob of sequence qq.
0
Three letters picked without replacement from plfmgpppp. Give prob of sequence gpm.
5/504
Calculate prob of sequence aqqq when four letters picked without replacement from qqaaqaaaqaaaqqaq.
9/208
What is prob of sequence zz when two letters picked without replacement from {u: 1, c: 2, t: 1, z: 3}?
1/7
Calculate prob of sequence ast when three letters picked without replacement from {a: 1, t: 1, s: 3}.
1/20
What is prob of sequence qqf when three letters picked without replacement from fffzqzqqqqfdd?
20/429
What is prob of sequence mbmk when four letters picked without replacement from {b: 6, k: 10, m: 2}?
1/612
What is prob of sequence po when two letters picked without replacement from ppoppooppppp?
9/44
Two letters picked without replacement from nhbnoqnnq. Give prob of sequence qb.
1/36
What is prob of sequence si when two letters picked without replacement from csdccsscssissdsdisc?
1/19
Calculate prob of sequence ll when two letters picked without replacement from {v: 1, k: 1, f: 2, l: 4, x: 1}.
1/6
Two letters picked without replacement from {s: 7, q: 3, b: 4}. Give prob of sequence sq.
3/26
Two letters picked without replacement from uuuuvvvuvvuuu. Give prob of sequence vu.
10/39
What is prob of sequence is when two letters picked without replacement from {f: 3, e: 2, g: 3, s: 1, i: 2, t: 7}?
1/153
Calculate prob of sequence qf when two letters picked without replacement from {q: 2, u: 1, d: 7, s: 1, f: 5}.
1/24
Calculate prob of sequence tit when three letters picked without replacement from amatati.
1/105
Three letters picked without replacement from pppfffpxxwxpg. What is prob of sequence pgw?
5/1716
What is prob of sequence fuex when four letters picked without replacement from {u: 6, e: 2, o: 1, f: 2, x: 6, m: 3}?
2/1615
What is prob of sequence ajtj when four letters picked without replacement from {d: 8, a: 6, j: 2, t: 2}?
1/3060
Calculate prob of sequence gwy when three letters picked without replacement from {g: 1, w: 1, o: 5, y: 7}.
1/312
Calculate prob of sequence rsst when four letters picked without replacement from rjrrtrsrrjt.
0
What is prob of sequence zc when two letters picked without replacement from baabzfazaaaaffzzcacz?
1/38
Four letters
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 76/3. Is s not equal to h?
True
Let w = 5 + -4.6. Do w and 3 have different values?
True
Suppose -4*n + 13 = -3. Suppose 3 - 1 = a - v, 1 = -n*a + v. Which is bigger: a or 1/9?
1/9
Let u = 2.939 - -0.061. Is u less than 0.9?
False
Let k = -512 + 13822/27. Which is smaller: 1 or k?
k
Let z be (-4)/(-20) - 1/5. Suppose z = 2*q - 2*a, a = -3*q - 2*a. Is 3 at most as big as q?
False
Let h(j) = 8*j - 1. Let s(g) = g + 1. Let y(u) = h(u) - 6*s(u). Let d be y(8). Which is greater: 10 or d?
10
Suppose -5*j + 4*j = -5. Let i = j - 3. Suppose -5*y - 2 = -i*x, 2 = 4*y - 0*x + 2*x. Which is bigger: 2 or y?
2
Let n be (-46)/10 - 24/(-6). Let b = 3 - 2. Is b not equal to n?
True
Suppose -2*c - 2 = 5*t, -t + 2*c = c + 6. Let j = t - -4. Let u be (j/(-8))/((-9)/48). Which is greater: 1 or u?
u
Suppose 2*z + g = 48, -g = -3*z + 2*g + 72. Let j be (1/3)/(4/z). Let q be (-1 + 2 - j)/1. Which is bigger: q or -2/3?
-2/3
Suppose -2*a - a = 0. Is a <= 1/5?
True
Let t(c) = c**3 - 20*c**2 + 18*c + 23. Let u be t(19). Is 7 less than u?
False
Let q = -566321/22200 - -948/37. Let x = q - -1/75. Which is smaller: x or 0?
0
Let t = -22.044 - -0.044. Which is smaller: t or -1?
t
Let f = 15 - 20. Is -3 greater than or equal to f?
True
Let m be (-6)/(-9) - (-6)/(180/(-2)). Let q = 2 - 1. Which is smaller: m or q?
m
Suppose -2*j + 2*c - 4 - 4 = 0, -5*j = -c. Let s be -2*1/(-2)*4. Let a be 3 + s/14 + -3. Is j <= a?
False
Let a = -68 - -68. Which is bigger: 4/23 or a?
4/23
Let t = -25 - -23.7. Let q = t + -0.7. Let r(o) = o**2 - 8*o + 5. Let x be r(7). Is q at least x?
True
Let n = -6.4 + 2. Let s = 4 + n. Let p = 1 - 0. Is s less than or equal to p?
True
Let v(r) = r - 2. Let q be v(5). Suppose q*m = m. Suppose 4*i + 5*w - 2 - 6 = m, 11 = -i + 2*w. Which is bigger: -7/4 or i?
-7/4
Let o(u) = -u + 7. Let a(v) = -3*v + 22. Let s(k) = -2*a(k) + 7*o(k). Let p be s(5). Do -3/7 and p have the same value?
False
Let c = 1.1 - 0.1. Suppose 5*x - x - 20 = -4*q, -3*x = -2*q - 15. Which is bigger: x or c?
x
Let j = -0.24 - -0.1. Let l = j + 0.13. Is 1/5 greater than or equal to l?
True
Suppose 4*m - 5*v + 3*v - 28 = 0, -20 = -2*m + 4*v. Is 27/4 >= m?
True
Let y = 0.2 - -0.8. Is -4 < y?
True
Let d(p) = p**3 - 9*p**2 + 9*p + 10. Let u be d(8). Suppose 2*n = -m + 4*n + 2, 4*m - u = -2*n. Suppose -3*y + m = -y. Is 0 at least y?
False
Let i = -10.9 - -1.9. Are i and -2/7 equal?
False
Suppose 3*q - 22 = 5*x - 4, -4*x - 12 = -3*q. Let d = x - -12. Let t = 4 - d. Which is smaller: -2/3 or t?
t
Let q = 79 + -67. Which is bigger: 3 or q?
q
Let d be (9/6)/((-2)/(-4)). Suppose -x + d*x = 2. Which is smaller: x or 7/5?
x
Let k = -0.181 + 1.181. Which is greater: k or 67?
67
Let s(a) = 2*a**2 + a. Suppose 5*u - 2*m = 5, 3*m = 2*u - 9 - 4. Let g be s(u). Is g less than or equal to 6/11?
False
Let w = 176 - 707/4. Is 4/5 >= w?
True
Let v be 12/(5 + -3)*1. Suppose -v = 4*i + 2*i. Let a = 35/286 - 1/22. Which is bigger: i or a?
a
Let x = -0.17 - 15.83. Let m = -9 - x. Let k = 9 - m. Which is bigger: 0.1 or k?
k
Let n = 44 + -38. Let f be (n/4)/((-30)/(-20)). Suppose 0 = -m - 2*m. Which is greater: f or m?
f
Let s = 49/2 - 24. Is -9 less than s?
True
Let b(y) = y**3 - y**2 - y + 10. Let l be b(0). Let j be l/(-35) + (-2)/(-7). Let x = 1540/171 + -82/9. Are x and j equal?
False
Let t be 6/10*4/6. Suppose 5*v = 2*o + 5, -2*o + 13*v = 14*v - 1. Which is smaller: t or o?
o
Let m(t) = -t**3 + 2*t**2 - 4*t + 3. Let s be m(2). Let z be (s/3 + 1)/4. Is z at least 0.2?
False
Let h = 1.9 - 5.2. Let z = h - -3. Let b = z + 1.3. Is b < -0.2?
False
Suppose 7 = -o + 2. Which is greater: -6 or o?
o
Suppose 4*m = -3*d + 69, 4*m - 11 = 1. Suppose -2*j - 2 = 3*k - 8, -5*j = -k + d. Is j greater than -4?
True
Let t be (18 - -4)/(2/1). Suppose -6 = 3*x + 3*q, 2*x - 2*q + t = 3*q. Let y be (-1 - x)*(-20)/(-8). Is y greater than 4?
True
Let b = -14 + 13.93. Let s = b + 0.67. Let o = s + 0.4. Is -2 at most o?
True
Let o be 12/5 + (-3)/(-5). Let l be (-3 - -6)*o/(-60). Which is greater: 0 or l?
0
Let a = -6 - 8. Which is smaller: 1 or a?
a
Let u(n) be the third derivative of -n**6/120 - n**3/3 + 2*n**2. Let j be u(-2). Suppose 3*y = -3*d + j, -y - 2*y = -d + 6. Is 3 >= d?
True
Let l = -214/171 + 28/19. Is 1 <= l?
False
Let z = -3.5 - -2. Let n = 0.5 - z. Let a = -16 - -33/2. Is n bigger than a?
True
Let i be (-15)/(-9)*(-2)/5. Is i < -1/2?
True
Let t(a) = 3*a**3 - a**2 + 3*a - 1. Let y(d) = -d**3 + d**2 - d + 1. Let r(s) = -t(s) - 2*y(s). Let q be r(0). Which is greater: q or -2/19?
-2/19
Suppose 191 = -4*r - 101. Let v = r - -366/5. Let l(o) = o**3 + 13*o**2 + o + 12. Let k be l(-13). Is v <= k?
False
Suppose 2 = 5*j - 3. Is -1/5 less than j?
True
Let h = 30 - 52. Let p = -34 - h. Let n be (-3)/((-99)/p*-1). Is n at least as big as 1?
False
Let c = -11385882374/93 + 122412634. Let u = 16209 + c. Let k = 2/31 + u. Which is bigger: 1 or k?
1
Let g be (1 + (-27)/15)*180. Let p = g + 1727/12. Which is smaller: p or -1?
-1
Let y = -51 - -60. Which is smaller: y or 3/2?
3/2
Let i(v) be the first derivative of -v**3/3 - 5*v**2/2 + 6*v + 2. Let b be i(-6). Which is smaller: 5/6 or b?
b
Let i be -1*(-2)/(-5)*5. Let h(j) = j**3 + 4*j**2 + 2*j - 4. Let w be h(-3). Is i != w?
True
Suppose 0 = s + s - 3*i - 5, -5*s + i + 19 = 0. Suppose 144 = -13*q + 9*q. Let y be (-3)/s*(-32)/q. Which is greater: y or -0.3?
-0.3
Let r = -0.11 + 13.11. Let j = r + -12.8. Is 2/9 > j?
True
Suppose 0 = 2*q - 4*s - 3 - 15, -29 = 4*q + 5*s. Which is bigger: q or -3/8?
-3/8
Suppose -g - 2 - 3 = 0. Let j = 8 - 12. Which is smaller: g or j?
g
Suppose -19*m = -11*m - 8. Is -1/88 greater than m?
False
Let k be (146/44 - 2) + 2/4. Is 1 at most k?
True
Let b be 0 + -1 - 3*28/(-21). Let k = 4 + 0. Is b <= k?
True
Let h = -34 + 104/3. Let q = -2 + -1. Is h less than q?
False
Let m = 22/39 - 3/13. Suppose 1 = k + 2. Is k at least as big as m?
False
Let z = 0.3 - 2.3. Let u = -3 - z. Let l be 5/(525/6)*5. Which is bigger: u or l?
l
Let w = -584/13 - -45. Which is smaller: w or 1?
w
Let g = -66.97 + 68. Let y = g + -0.03. Let r = y + -1.2. Which is greater: 1 or r?
1
Let q = -0.28 + 0.3. Let a = 115 - 231/2. Which is bigger: q or a?
q
Let m be 4/4*(-1)/4. Let z = -16 - -17. Is m at least z?
False
Suppose 3*b + 2*b - 30 = 0. Let s(n) = 2*n - 5. Let z be s(b). Is z at most 6?
False
Let u(m) = -m - 5. Let h be u(-5). Let a be 102/72 - (-4)/(-6). Is a less than or equal to h?
False
Let s = -98 - -97.8. Which is smaller: s or -19/5?
-19/5
Let d(p) = p**3 + 6*p**2 + 4*p - 2. Suppose 19 = -5*c - 3*w, 3*c + 19 = 3*w - 2. Let g be d(c). Is 3 greater than or equal to g?
True
Let p be 12 - (0 + (-1 - -1)). Let c(r) = -5*r + 1. Let l be c(-3). Let j be ((-1)/p)/(12/l). Which is smaller: 0 or j?
j
Let v = -9.5 + 11. Let u = v + -0.5. Which is smaller: 1/7 or u?
1/7
Let h = 3 - 8. Which is smaller: h or -1/2?
h
Suppose -6*u = -4*u. Let x(y) = -y. Let n be x(-3). Suppose -2*m - 5 = n*m. Is u less than or equal to m?
False
Suppose 7*y - 5*y = 0. Let l = -607/4 + 26093/172. Is y less than l?
False
Let x = 433 + -25549/59. Which is smaller: x or 1?
x
Suppose -9 = 2*y - a + 1, 4*a - 16 = 4*y. Let q be (22/y)/((-1)/(-9)). Let r = 65/2 + q. Is r bigger than -1?
True
Let w(g) = g**3 + 5*g**2 + g - 1. Let u be w(-2). Which is smaller: u or 11?
u
Suppose 105 = -5*r - 0*r. Is -23 greater than r?
False
Let z be -3*(32/(-6))/4. Let i = 15 - z. Is 11 at most i?
True
Let j = -1 + 1. Suppose -13 = f + 2*l, 3*f - 4*l - 11 = -j*f. Let u be f + 2 - -2 - 1. Is u greater than or equal to -3/8?
True
Let c = 0 + -1. Let x = 6 - 6.05. Let f = 0.05 + x. Is c greater than f?
False
Let b = 1.6 - 1.51. Let h = b + -1.09. Is 2/5 less than or equal to h?
False
Let a be 1 + 6/9*147. Let u = a + -59. Let c be 36/u + (-1)/2. Is c greater than 1?
False
Suppose 9*v + 19 - 73 = 0. Which is smaller: 2 or v?
2
Let n(j) = j. Let o be n(-1). Suppose -3*i - i + 1212 = 0. Let z = i - 3335/11. Is z less than o?
False
Let p = -1 - -3. Let l be 2/(-4) - (-29)/p. Suppose -2*j = 3*t - l, 0 = t - 0*j - 5*j + 18. Which is greater: t or -2?
t
Let a = 1.3 - -0.2. Let r = a - 0.6. Let g = 1 - r. Which is bigger: 1/4 or g?
1/4
Let z(w) = -6*w**2 - 46*w - 50. Let f(j) = j**2 + 9*j + 10. Let v(q) = -11*f(q) - 2*z(q). Let m be v(7). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
b) 0.3 (c) -1
b
Which is the nearest to -0.3? (a) 4 (b) 0.14 (c) -1 (d) 0.1
d
What is the closest to 1/3 in -0.4, -4/3, -1?
-0.4
What is the closest to -2 in 11, 5, 0.02, -0.2?
-0.2
Which is the nearest to 4? (a) -1.1 (b) 0.5 (c) 2/9
b
Which is the closest to -2/7? (a) -2/5 (b) 4/3 (c) -3 (d) -0.1
a
Which is the nearest to 1? (a) -0.5 (b) -3 (c) -1984 (d) 1
d
What is the closest to 0 in -0.4, -0.1, -7, 1/3?
-0.1
Which is the nearest to 0.3? (a) 2/9 (b) -1/4 (c) 0.5 (d) -2.1
a
What is the nearest to 0 in -0.4, -4, 0, 1.21?
0
Which is the nearest to 13/4? (a) 3 (b) -2 (c) -1.1
a
What is the nearest to -0.1 in 6/7, -0.01, 2, -5?
-0.01
Which is the nearest to -14? (a) -3/2 (b) -5/3 (c) 1/11 (d) -1.9
d
Which is the closest to 1/2? (a) -0.3 (b) 1 (c) 10 (d) -5
b
What is the closest to -1.1 in 2/3, 3, -6?
2/3
What is the closest to 0.2 in 0, 4, 1/3, -0.7?
1/3
Which is the closest to -1? (a) 0.4 (b) 0.03 (c) -2 (d) -1/2
d
Which is the closest to -11? (a) -1 (b) -11 (c) 0
b
Which is the closest to -44? (a) 0 (b) -0.1 (c) -4
c
What is the closest to -1/2 in 4, 2, 1, 27?
1
What is the nearest to -9 in -1/9, -1, 2/3?
-1
What is the closest to -1 in -1/5, 1, -1.4, 10?
-1.4
What is the nearest to 2/5 in -3, 0.1, 5/3?
0.1
What is the closest to 1 in 0.4, -2/13, -4, -43?
0.4
Which is the closest to 0? (a) -6 (b) 0.2 (c) 0.1 (d) 1/4
c
What is the nearest to 0.3 in -0.1, 3, 2, 5?
-0.1
Which is the nearest to -75? (a) -0.3 (b) -2/3 (c) -5 (d) -1
c
What is the nearest to 3/14 in -4, -1/2, 0.03?
0.03
What is the nearest to 29 in 6, 4/5, -0.4, -2/13?
6
What is the nearest to -4 in -5, -1/8, 4, 0?
-5
Which is the closest to -1/2? (a) 1 (b) 4/3 (c) 0.17
c
Which is the nearest to -7? (a) 3 (b) -2/7 (c) -5 (d) -0.03
c
Which is the closest to -0.1? (a) -43/8 (b) -2/3 (c) -5
b
What is the closest to 1785 in 5, -2, 0.4, 4?
5
What is the closest to 1 in 0.3, 0, 5, -0.3?
0.3
What is the closest to -50 in 0.3, 1, 0.1?
0.1
Which is the closest to -11? (a) 5 (b) 24/7 (c) 3
c
Which is the nearest to 1.2? (a) -0.2 (b) 1/5 (c) 0.6 (d) 0.4
c
Which is the nearest to 6? (a) 3/2 (b) 3 (c) 0.7 (d) 0.2
b
Which is the closest to 2/39? (a) -0.3 (b) -5 (c) 4/3
a
Which is the closest to -1? (a) 1 (b) 1/201 (c) 3
b
Which is the closest to 0.1? (a) 0.2 (b) 2 (c) -15
a
What is the nearest to -5 in -5, 1/4, 3?
-5
Which is the nearest to -2/5? (a) 12 (b) 1.3 (c) 4
b
What is the nearest to 19 in -2, 3, 0.05, -0.1?
3
What is the closest to -0.1 in 2/7, 0.0289, 1/4, -0.1?
-0.1
Which is the closest to 2/5? (a) 226/7 (b) 0 (c) 5
b
Which is the nearest to 3? (a) 0.5 (b) -4 (c) -10
a
Which is the nearest to 0.17? (a) -0.4 (b) -0.2 (c) 0.3 (d) -2
c
What is the nearest to -2 in -5, -3/8, 2/11, -1/6?
-3/8
What is the closest to 9 in -3, 2/3, 2/5?
2/3
Which is the closest to 0.3? (a) -0.3 (b) -2866 (c) 2
a
Which is the closest to 0.2? (a) -3 (b) -3.1 (c) 3/2 (d) 7
c
What is the closest to -4 in 2, -11, 0.3?
0.3
What is the closest to -1/2 in -1, -1/5, 3?
-1/5
What is the closest to 0 in -53, 3, -21?
3
What is the nearest to 0.2 in -0.4, 0.5, 6, 0.05?
0.05
What is the closest to -2 in 4, 3, 1/14, 2/11?
1/14
What is the closest to 8 in -0.4, 1, -4, 3?
3
What is the closest to 1 in -3, 0.04, 0.3, -1?
0.3
Which is the closest to -0.2? (a) 1/4 (b) -30 (c) 4 (d) 2
a
Which is the nearest to -1/2? (a) 22 (b) -7 (c) 2
c
Which is the closest to -27? (a) 1/3 (b) -2 (c) -3
c
Which is the nearest to 0.03? (a) 1/2 (b) -9 (c) 1/5
c
What is the closest to 0.1 in -5, -0.2, 1/12, -0.04?
1/12
What is the closest to 3/7 in -0.2, -4, 3/5, -0.4?
3/5
What is the nearest to 2/5 in -27, -2, -5/2?
-2
Which is the nearest to -6/11? (a) 3 (b) 4 (c) -9 (d) 2
d
Which is the nearest to -1? (a) 0.1 (b) -5 (c) 21.6
a
Which is the closest to -1? (a) -2 (b) 2/3 (c) -6
a
What is the nearest to 18 in 0.5, -2/11, 2, 4?
4
Which is the nearest to 1/2? (a) -2 (b) -0.5 (c) 6.5 (d) -1
b
Which is the nearest to 0? (a) -9 (b) 2/25 (c) -19
b
What is the closest to -3/8 in 1/3, -0.05, 1/7, -0.3?
-0.3
What is the nearest to 0 in 3, 30, -5?
3
What is the closest to -2/3 in 0.13, 0.31, -2/11?
-2/11
Which is the nearest to 1? (a) 4 (b) 3 (c) 11
b
What is the closest to 5 in -4, 1, -0.3?
1
What is the closest to 2/7 in 2, 4, 1/3, 5?
1/3
Which is the nearest to -1? (a) -2/3 (b) -32 (c) 2
a
Which is the nearest to 2? (a) -173/3 (b) 0.3 (c) -4 (d) -0.3
b
Which is the nearest to 17? (a) -0.06 (b) 1 (c) -5
b
Which is the nearest to 0.1? (a) 0.1 (b) 5 (c) -2/11
a
What is the nearest to -3 in -0.2, 0.1, 3, 18?
-0.2
Which is the nearest to -5? (a) 4 (b) 1 (c) -1 (d) 2/17
c
What is the closest to 3.5 in -3/2, -4, -0.5, -0.2?
-0.2
Which is the nearest to 0.06? (a) -2 (b) 124 (c) 2
c
Which is the nearest to 1? (a) -1/24 (b) -4 (c) 1/6
c
Which is the nearest to 0? (a) -1/6 (b) -3/2 (c) 5 (d) 3
a
Which is the closest to 0.1? (a) -0.2 (b) 0 (c) -14
b
What is the closest to 1 in -0.2, 0.1, -4, 0.13?
0.13
Which is the nearest to -2/7? (a) 2 (b) -1/42 (c) -1 (d) -11/2
b
What is the nearest to 2/11 in -3/2, -0.1, -1, 0.3?
0.3
What is the closest to 1 in -1, -0.2, -1/9, 59/2?
-1/9
Which is the nearest to 0.2? (a) 5/6 (b) 2/19 (c) -0.7 (d) -0.4
b
Which is the closest to 22? (a) -1 (b) -0.2 (c) 0.6 (d) -13
c
What is the closest to -179/5 in -0.3, -4, -1.9?
-4
What is the nearest to -0.2 in 5, -5, 0.04?
0.04
What is the closest to -0.63 in 3, 1/4, 5, -1?
-1
What is the closest to -240 in 0.4, 0, 2?
0
What is the nearest to 0.1 in 0, 2, -7/4, -5?
0
What is the closest to -5 in 0.5, -2, 2, 62?
-2
Which is the nearest to -14? (a) 2/13 (b) 5 (c) -0.4
c
What is the nearest to 1 in 1, -0.3, 0.5, 48?
1
Which is the nearest to -6? (a) -5 (b) 0 (c) -1/2
a
Which is the closest to -0.1? (a) 2/3 (b) -3 (c) 1074
a
Which is the nearest to -1? (a) -3 (b) 0 (c) -7 (d) -0.2
d
What is the closest to 3/4 in -1, 8, -4?
-1
What is the nearest to -2/9 in -3/4, 6/11, 3, 0?
0
What is the nearest to 0 in 19, 0.5, 2?
0.5
What is the nearest to -3/4 in -0.04, 4/7, 0.2?
-0.04
Which is the closest to 2? (a) 0.2 (b) -1.5 (c) -0.02
a
Which is the nearest to -0.1? (a) 10 (b) -0.1 (c) -0.01 (d) -1/3
b
What is the closest to 2/3 in 0.1, -1.5, -0.02, -2?
0.1
Which is the closest to 0? (a) 4 (b) 4383 (c) 0 (d) 0.4
c
Which is the closest to 0? (a) 0.3 (b) -0.4 (c) -29 (d) 0.6
a
What is the nearest to 199 in -1, 5, -2?
5
Which is the closest to 3/2? (a) 1 (b) 5 (c) -5 (d) 4
a
What is the closest to -1 in 1, 0.3, -128?
0.3
What is the closest to -0.1 in -4, -8, -7, -0.3?
-0.3
What is the closest to 5/8 in -3, 0.4, 4, 0?
0.4
Which is the nearest to -1? (a) 1/4 (b) 739 (c) 5/3
a
Which is the nearest to 3? (a) 4 (b) 1/79 (c) 0.1 (d) 0.5
a
Which is the closest to -1.9? (a) -0.9 (b) 10 (c) 1/5
a
Which is the closest to -2/9? (a) 3 (b) -1 (c) 1 (d) 2
b
Which is the nearest to -0.1? (a) 4 (b) 5 (c) -0.3 (d) 2/5
c
What is the closest to 0.4 in 4, 0.4, -2/7, 3?
0.4
What is the nearest to -1 in 8, 5, -0.4, -2/11?
-0.4
Which is the nearest to -3/10? (a) -2/3 (b) -0.4 (c) -1 (d) -1/4
d
What is the nearest to -1/4 in 2, -17, 1, 0.6?
0.6
What is the nearest to -0.4 in -0.28, -4/9, -2, 2/7?
-4/9
Which is the closest to 0? (a) -4 (b) -0.1 (c) -0.4 (d) 0.9
b
What is the nearest to -1 in 3, -2, 2, 13?
-2
Which is the nearest to -3/4? (a) -1/4 (b) 0.4 (c) 4/15 (d) -2
a
Which is the closest to 0.1? (a) 3 (b) 47 (c) 0.1
c
Which is the nearest to -0.1? (a) 3 (b) -4 (c) -10.4
a
Which is the closest to 0.16? (a) -2 (b) -0.1 (c) -51 (d) 1/4
d
What is the closest to 0.2 in 642, 4, 1?
1
What is the closest to 0 in 21, -4, 5, -0.4?
-0.4
Which is the nearest to 1? (a) -1 (b) 4 (c) 0 (d) 2/11
d
Which is the closest to 1? (a) 4 (b) -3/5 (c) -1/4 (d) 0
d
What is the nearest to 1/2 in 1/7, -4, -0.1, 155?
1/7
What is the nearest to -10 in -221, 1, -0.4?
-0.4
What is the nearest to -2/11 in -1/5, -0.1, -0.3, 16?
-1/5
Which is the nearest to -1/2? (a) 2/5 (b) -1/3 (c) -0.2 (d) -4
b
Which is the closest to -6? (a) 0.2 (b) 2/9 (c) -0.3
c
Which is the closest to 43/6? (a) -0.4 (b) -3 (c) 4/
|
{
"pile_set_name": "DM Mathematics"
}
|
-105*h**2. Let c(a) = -13*a**2. What is r*c(j) + 3*w(j)?
10*j**2
Let l(j) = -136*j - 21. Let a(v) = 408*v + 70. What is -2*a(h) - 7*l(h)?
136*h + 7
Let x(l) = 26*l**3 - 7*l**2 - 15*l + 17. Let a(d) = d**3 + d**2 + 3*d - 3. Calculate 5*a(v) + x(v).
31*v**3 - 2*v**2 + 2
Let f(n) = -457*n**2 + 34*n - 1. Let b(y) = 2*y**2 - 8*y. Calculate -4*b(a) - f(a).
449*a**2 - 2*a + 1
Let q(s) = -2*s + 4. Let i = -1096 + 1098. Let r(k) = -4*k + 1. Let u(v) = -3*v. Let f(o) = -4*r(o) + 5*u(o). Give i*q(a) + 3*f(a).
-a - 4
Let w(m) = 124*m + 2352. Let n be w(-19). Let d(c) = 19*c**3 + 11*c. Let v(g) be the third derivative of g**6/20 + g**4/6 + 2*g**2. Give n*d(l) + 11*v(l).
-10*l**3
Let i(x) = -14*x**2 - x - 1. Let m(g) = 4 - g**2 + 1080*g + 1079*g - 2160*g - 5. Determine i(s) - m(s).
-13*s**2
Let q(r) = -235*r**2 + 40. Let f(z) = -67*z**2 + 46. Let p(j) = -8*j**2 + 5. Let b(c) = -2*f(c) + 19*p(c). Give 40*b(o) - 3*q(o).
-15*o**2
Let o(a) = 3*a**2 - 851*a - 4. Let u(i) = i**2 + 27*i - 1. Give -o(b) + 5*u(b).
2*b**2 + 986*b - 1
Let g(k) = 9*k + 875. Let q(j) = 3*j - 9. Calculate g(z) - 2*q(z).
3*z + 893
Let c(o) = o**3 + 54*o**2 + 2*o + 4. Let x(b) = 7*b**3 + 323*b**2 + 13*b + 26. Calculate 39*c(n) - 6*x(n).
-3*n**3 + 168*n**2
Let q(v) = -4*v**3 + 6*v - 5. Let k(p) = 3*p**3 + p**2 - 5*p + 4. Suppose 831*i - 869*i + 114 = 0. What is i*k(s) + 2*q(s)?
s**3 + 3*s**2 - 3*s + 2
Let v(m) = -23*m + 1. Let b(k) = 47*k - 2. Let l be (0 - -1) + (-59)/177*(8 + 1). Determine l*b(r) - 5*v(r).
21*r - 1
Let c = -862 - -852. Let z(w) = -w + 1. Let u(s) = -3*s + 6. Calculate c*z(y) + 2*u(y).
4*y + 2
Let k(q) = -113*q + 167. Let r(s) = -94*s + 169. What is -5*k(h) + 6*r(h)?
h + 179
Let l(w) = -290*w**2 + 10*w - 14. Let b(a) = -291*a**2 + 13*a - 18. What is -3*b(i) + 4*l(i)?
-287*i**2 + i - 2
Let p(g) = -g**2 + 4*g. Let s(c) = 348*c**2 + 24*c - 7. Determine -6*p(v) + s(v).
354*v**2 - 7
Let i(c) = -c. Let m be (6/4)/(13/78). Suppose 15 = -3*h + m. Let u(a) = -a**2 - 2*a. What is h*u(f) + 2*i(f)?
2*f**2 + 2*f
Let k(d) = -29*d**2 + 8*d + 113. Let m(v) = -11*v**2 + 4*v + 2. Calculate k(b) - 3*m(b).
4*b**2 - 4*b + 107
Let o(p) = -5*p**3 + 10*p**2 - 5*p - 8. Let w(l) = l**3 + 20*l**2 + 4*l - 279. Let x be w(-19). Let f(m) = -m**2 + m + 1. What is x*f(r) + o(r)?
-5*r**3 + 4*r**2 + r - 2
Let u(x) = -x**2 + 1. Let n(d) = -10*d**2 + 451*d - 44. Let i be n(45). Let p(v) = v**2. What is i*u(m) + 4*p(m)?
3*m**2 + 1
Suppose 8 = 13*x + 47. Let i = x + 1. Let o(g) = 9*g**3. Let h(p) = -154*p**3. Give i*h(v) - 35*o(v).
-7*v**3
Let c(m) = -4*m**2 - 2*m - 2. Suppose 42*x - 38*x = h + 20, x - 4*h - 5 = 0. Let k(z) = -4*z**2 - 2*z - 2. Calculate x*c(u) - 4*k(u).
-4*u**2 - 2*u - 2
Let n(q) = q**2. Suppose 13*o - 86 = -8. Let r(j) = 1 - o*j**2 - 62*j - 61*j + 127*j. Determine -5*n(y) - r(y).
y**2 - 4*y - 1
Let x(p) = 8 - 1 + 0 + 11*p. Let o(z) = -3 + 0 + 0*z - 5*z. Let t(u) = -u**2 - 82*u + 2817. Let b be t(-108). Calculate b*o(a) + 4*x(a).
-a + 1
Let r(q) = -7*q**3 + 65*q**2 + 755*q - 4. Let c(i) = 6*i**3 - 52*i**2 - 754*i + 4. Determine -5*c(b) - 4*r(b).
-2*b**3 + 750*b - 4
Let d be 29 + (5 + -2)*(-8)/(-6). Let n(t) = 1 - 42*t + 8 + 9*t**2 + 3*t**3 + d*t. Let w(a) = -2*a**3 - 4*a**2 + 4*a - 4. Give 4*n(x) + 9*w(x).
-6*x**3
Let w(f) = -3*f + 3*f**2 + 5*f + 1 - 4*f**2 - 2. Let n(o) = 0*o + 1890 - 1890 + o. Give -2*n(u) + w(u).
-u**2 - 1
Let p(d) = 0*d + 0 - 14*d**2 - d + 1 + 13*d**2. Let r(k) = 3*k**3 - 7*k**2 - 7*k + 9. Let w(v) = v**3 + 1. Let z(q) = -r(q) + 2*w(q). Give -42*p(o) - 6*z(o).
6*o**3
Suppose 0 = -0*c - 2*c - 2. Let l(k) = k**3 - 3*k**2 - k + 5. Let u(q) = -4*q + 5*q - 13*q**2 - 1 + 14*q**2. What is c*l(h) - 3*u(h)?
-h**3 - 2*h - 2
Let n(j) = -1004*j - 3. Let g(y) = 2009*y + 5. What is 4*g(q) + 7*n(q)?
1008*q - 1
Let o(s) = 25*s**2 - 15*s - 4. Let y(c) = 18*c**2 - 13*c - 2. What is -4*o(j) + 5*y(j)?
-10*j**2 - 5*j + 6
Let c(d) = -510*d**2 - 119. Let a(y) = 17*y**2 + 4. Suppose -105*k = 55*k - 640. What is k*c(g) + 119*a(g)?
-17*g**2
Let m(i) = 2*i**3 - 6*i**2 + 3*i + 7. Let w(o) = -2*o**3 + 5*o**2 - 2*o - 6. Let b(p) = -p**3 + 27*p**2 - 183*p + 20. Let j be b(14). Give j*w(k) + 5*m(k).
-2*k**3 + 3*k - 1
Let l(r) be the second derivative of r**2/2 - 2*r. Let v(n) = 2*n - 2. Let z be (-2)/(22/(-209)) - 15. What is z*l(w) + 2*v(w)?
4*w
Let b(z) = -5 + 0*z**2 - 5*z - 5*z**2 - z**2 + 4*z. Let d(t) be the first derivative of -t**3/3 - t + 1183. Give b(r) - 4*d(r).
-2*r**2 - r - 1
Let h(z) = -25*z - 10. Let o(a) = -5*a - 2. Let c(t) = -3*h(t) + 12*o(t). Let w(r) = -7*r - 3. Calculate -2*c(i) - 5*w(i).
5*i + 3
Let m(u) = -u**3 - u**2 - 3*u. Let f(t) = 21*t**3 - 6*t**2 - 18*t + 79. Determine f(b) - 6*m(b).
27*b**3 + 79
Let j(v) = -258*v + 132*v - 1 + 130*v. Let a(w) = 12*w + 15*w + 5*w - 27*w - 2. Calculate -2*a(n) + 3*j(n).
2*n + 1
Let j(y) = 40*y**2 - 22*y + 8. Let b(v) = -42*v**2 + 18*v - 10. Determine -6*b(g) - 5*j(g).
52*g**2 + 2*g + 20
Let q(z) = -1916*z + 2. Let f(t) = -t + 1. Determine -2*f(b) + q(b).
-1914*b
Let l(y) = 493*y**3 + y**2 + 9*y - 18. Let r(j) = 986*j**3 + 2*j**2 + 19*j - 39. Give -13*l(o) + 6*r(o).
-493*o**3 - o**2 - 3*o
Let z(d) = -22*d + 4. Let r(x) be the second derivative of -7*x**3/6 + x**2/2 - 35*x - 1. Give 10*r(h) - 3*z(h).
-4*h - 2
Suppose -15 = -1213*p + 1198*p. Let a(r) = -1. Let q(z) = -4*z - 6. Give p*q(c) - 3*a(c).
-4*c - 3
Let c(n) = 49322*n**2 + 28*n. Let d(k) = 8968*k**2 + 5*k. Determine -5*c(j) + 28*d(j).
4494*j**2
Let m(n) be the third derivative of -31*n**3/6 + 40*n**2 - 99*n. Let o(d) = -d - 32. Determine -3*m(k) + 2*o(k).
-2*k + 29
Let p(o) = -60*o - 7. Let h(f) = -32*f - 3. Let a = -418 - -412. Let k(m) = a*p(m) + 11*h(m). Let t = -6 - -2. Let w(v) = 4*v + 4. Calculate t*k(y) + 9*w(y).
4*y
Let m(b) = 4*b**2 - 3. Let y = 8 + -9. Let c(l) = l + 3*l**2 - 5*l**2 - 3*l + l**2 + 1 + l. Calculate y*m(v) - 2*c(v).
-2*v**2 + 2*v + 1
Let s(k) = -3105*k**2 + 8*k. Let j(q) = -1034*q**2 + 3*q. Give -8*j(u) + 3*s(u).
-1043*u**2
Let c(k) = -63 + 11*k**3 + 0*k**2 + 0*k**2 + 5 + 53 - 3*k**2. Suppose v = -3*v - 20. Let d(z) = 6*z**3 - 2*z**2 - 3. Let b = 5 + -2. Determine b*c(s) + v*d(s).
3*s**3 + s**2
Let z(a) = a**2 - a + 41. Let y(h) = 6. Calculate 21*y(c) - 3*z(c).
-3*c**2 + 3*c + 3
Let v(d) = -2*d**2 - d - 1. Let a(w) = -21*w**2 - 8*w - 9. Let g(z) = a(z) - 7*v(z). Let q(p) = p + 1. Let x be 1 + -3 - (-8 + 8). Give x*q(j) - g(j).
7*j**2 - j
Let g(l) = -2. Let i(m) = 15*m - 6. Let z = 1445 - 1451. Determine z*g(k) + 2*i(k).
30*k
Let w(k) = 5*k**3 + 3*k + 3. Let x(s) = 4*s**3 + 2*s + 2. Let l = -224 - -184. Let p be (l/50)/((-2)/15). Calculate p*x(j) - 4*w(j).
4*j**3
Let j(r) = 34*r**3 + 336*r**2 + 22*r. Let t(y) = 3*y**3 + y**2 + 2*y. Determine -2*j(p) + 22*t(p).
-2*p**3 - 650*p**2
Let r(f) = -8*f**3 - 7*f**2 + 8*f. Let q(m) be the second derivative of -7*m**5/20 - m**4/2 + 7*m**3/6 - 3*m - 8. Suppose k = 4*k - 18. What is k*q(i) - 5*r(i)?
-2*i**3 - i**2 + 2*i
Let b(q) = 9*q**3 + 4*q**2 - 3*q. Suppose 410*i - 202*i = 195*i + 52. Let w(o) = -o**2 + o. Calculate i*w(c) + b(c).
9*c**3 + c
Let k(o) = -39*o**3 + o**2 - 8*o - 8. Let g(s) = 219*s**3 - 6*s**2 + 43*s + 39. Calculate -2*g(m) - 11*k(m).
-9*m**3 + m**2 + 2*m + 10
Let o(f) = -4*f**3 + f**2 - 2*f. Let g(c) = 29*c**3 - 4*c**2 + 19*c - 4. What is g(h) + 4*o(h)?
13*h**3 + 11*h - 4
Suppose -4*c = -1769 + 1833. Let g(i) = 10*i**2 - 22*i + 6. Let q(t) = 3*t**2 - 7*t + 2. Suppose 3*j - 20 = -5*b, 3 + 3 = 2*j - 4*b. What is c*q(o) + j*g(o)?
2*o**2 + 2*o - 2
Let g(d) = d**3 + 11*d - 11. Let c(s) = -s + 1. Suppose 5*k = 6 - 36. Let h = -1021 + 955. Determine h*c(l) + k*g(l).
-6*l**3
Suppose -2*y - 2*u + 420 = 0, -37 + 683 = 3*y - 5*u. Let a = y - 208. Let d(t) = 5*t**2 - t + 4. Let l(p) = -p**2 + p - 1. Calculate a*l(b) + d(b).
b**2 + 3*b
Let m(n) = 14*n + 1. Let p(t) = -345*t + 10. Calculate -10*m(l) + p(l).
-485*l
Let w(t) = -t**3 - 15*t**2 + 5*t - 5. Let k(f) = 1208*f - 3621. Let i be k(3). Let s(h) = h**3 + 14*h**2 - 4*h + 4. What is i*s(o) + 2*w(o)?
o**3 + 12*o**2 - 2*o + 2
Let n(q) = -13*q - 5. Let s(k) = 39*k + 14. Let b = 24502 - 24510. Give b*n(z) - 3*s(z).
-13*z - 2
Let z(v) = -70*v. Let m(l) be the first derivative of -7*l**3/3 - 284*l + 122. Let f(o) be the first derivative of m(o). Calculate 14*f(d) - 3*z(d
|
{
"pile_set_name": "DM Mathematics"
}
|
ird derivative of -k**6/120 + k**3/6 + 2*k**2. Let g(j) = -i(j) + 9*s(j). What is the first derivative of g(r) wrt r?
-9*r**2
Let r = -53 + 267/5. Let h(m) be the first derivative of -1 + r*m**5 + 1/3*m**3 + 0*m**4 + 0*m**2 + 0*m. Find the third derivative of h(b) wrt b.
48*b
Let k(u) = -2*u**2 + 10*u. Let h(i) = 4*i + 3*i - 3 + 3 - i**2. Let d(y) = 7*h(y) - 5*k(y). What is the second derivative of d(v) wrt v?
6
Let a(z) = z**2 + 7*z - 8. Let x be a(-8). What is the third derivative of -d**6 + 3*d**2 + 0*d**2 - 6*d**2 + x*d**6 wrt d?
-120*d**3
Let y(k) be the first derivative of -8 + 0*k**3 + 3/2*k**4 + 7/2*k**2 + 0*k. Find the second derivative of y(f) wrt f.
36*f
Let a(j) be the third derivative of 1/6*j**3 - 1/210*j**7 + 0*j**5 + 0*j**6 + 0*j**4 + 0 + 0*j + 4*j**2. What is the first derivative of a(x) wrt x?
-4*x**3
Let g(j) be the second derivative of -j**6/30 + 4*j**2 + 2*j. What is the derivative of g(d) wrt d?
-4*d**3
Let u(g) be the second derivative of g**4 + g**2 - 3*g. What is the first derivative of u(s) wrt s?
24*s
Let i(o) = -o**2 + 7*o - 4. Let t be i(6). Find the third derivative of 6*g**2 - 5*g**2 + g**t - 3*g**3 wrt g.
-18
Let z(d) be the first derivative of 16*d**5/5 - 8*d**3/3 + 19. Find the third derivative of z(m) wrt m.
384*m
Let o be -4 + 4 - (0 - 2). Suppose -3*g - 2*g = -45. What is the second derivative of -4*s - s - g*s**5 + 6*s**5 + o*s wrt s?
-60*s**3
What is the third derivative of -9*j**3 + 0*j**3 - 24*j**2 + 19*j**2 wrt j?
-54
Differentiate 21 + 8*m**2 - 10 - 3 wrt m.
16*m
Find the first derivative of -5 + 1 - 1 - 2*r - r wrt r.
-3
Let m(r) = -3. Let q(p) = -1. Let i(d) = -m(d) + 2*q(d). Let x(s) = -s - 4. Let j(c) = -11*i(c) - 2*x(c). What is the derivative of j(w) wrt w?
2
What is the third derivative of 38*d**3 + d**2 + d + 2*d**3 + 0*d + 4*d wrt d?
240
What is the second derivative of -73*y + 119*y + 13*y**5 + y**5 wrt y?
280*y**3
Let j = 6 - 3. Differentiate 9*t**4 - j - 4*t**4 - t**4 wrt t.
16*t**3
Let x(r) = 9*r - 13. Let f(p) = -9*p + 14. Let d(z) = 2*f(z) + 3*x(z). What is the derivative of d(j) wrt j?
9
Let c(a) = -23*a + 7. Let v(q) = q - 1. Let x(l) = -c(l) - 6*v(l). Differentiate x(g) with respect to g.
17
Find the first derivative of 10 - 2 + 2*f**2 + 2*f**2 + 12*f**2 wrt f.
32*f
Let n be 2 + (-4)/(-16)*0. What is the second derivative of 2*c**5 - n*c - 3*c**5 - 4*c + 3*c**5 wrt c?
40*c**3
Let l(j) = -5*j**2 + 4*j + 9. Let v(o) = -6*o**2 + 3*o + 8. Let c(b) = -3*l(b) + 4*v(b). Find the first derivative of c(a) wrt a.
-18*a
Suppose 7 = -4*g + 27. Suppose -g*s + 17 = -4*d, d + 2*s - 4 = 4*d. What is the derivative of 1 + 0*a**d + 0 + a**2 wrt a?
2*a
Let v(y) be the second derivative of -7*y**6/6 + 10*y**2 - 8*y. Find the first derivative of v(x) wrt x.
-140*x**3
Let j(l) be the first derivative of 5*l**2/2 - 3*l + 19. Differentiate j(o) wrt o.
5
Let j be (-6)/9*-3 + -23. Let b be (-90)/j - (-4)/(-14). Find the first derivative of 2 - 3*p**b + 2*p**4 - 4 wrt p.
-4*p**3
Let r(y) = 9*y**2 + 18*y. Let p(s) = 17*s**2 + 27*s - 2*s**2 - s**2. Let j(m) = 5*p(m) - 8*r(m). What is the second derivative of j(g) wrt g?
-4
Suppose 25 = n + 4*h, 0 = 3*n + h + 2*h - 30. Find the second derivative of 0*p - 2*p - p - p**n wrt p.
-20*p**3
Let a(o) be the third derivative of o**4/24 + o**3/3 - 2*o**2. Let z be a(-2). Find the second derivative of -2*u**2 - u + 2*u + z*u wrt u.
-4
Let x(u) be the second derivative of -u**11/27720 + u**7/2520 + u**4/3 + u. Let q(a) be the third derivative of x(a). Find the third derivative of q(z) wrt z.
-240*z**3
Let l(p) be the second derivative of 0*p**3 + 0*p**2 + 0 + 2*p + 1/15*p**6 + 0*p**5 + 1/4*p**4. Find the third derivative of l(f) wrt f.
48*f
Differentiate 79*r**3 + 12*r**4 - 7 - 79*r**3 wrt r.
48*r**3
Let d = 6 + -4. Differentiate 2*j**2 - 2*j**d + 19*j**4 - 17*j**4 - 4 with respect to j.
8*j**3
Let u be -1*(-1)/((-4)/(-12)). Find the third derivative of 3 - d**2 - 3 + 3*d**u + 2*d**2 wrt d.
18
Let k(t) = 10*t**4 + 5*t**3 + 5*t**2 + 11. Let v(x) = 5*x**4 + 3*x**3 + 3*x**2 + 6. Let u(r) = -3*k(r) + 5*v(r). Find the first derivative of u(f) wrt f.
-20*f**3
Let u(g) be the first derivative of 5*g**6/3 + 17*g**2/2 + 18. What is the second derivative of u(p) wrt p?
200*p**3
Suppose 3*a = a + 4. Find the second derivative of 4*g - 7*g + 2*g**5 + a*g**5 + 2*g wrt g.
80*g**3
Let g(b) be the first derivative of 5*b**4/4 + 5*b**3/3 + 3*b**2/2 + b + 27. Find the second derivative of g(d) wrt d.
30*d + 10
Let n(c) be the first derivative of -8*c**3/3 + 5*c - 1. Let z(x) = x**2 - x - 1. Let b(y) = -n(y) - 5*z(y). Find the second derivative of b(t) wrt t.
6
What is the first derivative of -61*w**2 + 2*w**4 - 8 + 63*w**2 - 11 wrt w?
8*w**3 + 4*w
Suppose -4*q + 6 = -2. What is the derivative of -5*o**2 + 9 - 2*o**q - 10 wrt o?
-14*o
Let x(h) be the first derivative of -3*h**6/2 - 6*h**2 + 9. Find the second derivative of x(d) wrt d.
-180*d**3
Suppose -8*c = -14*c. Let q(j) be the second derivative of -1/2*j**3 + 0 + c*j**4 + 0*j**5 + 0*j**2 - 4*j + 1/10*j**6. Find the second derivative of q(t) wrt t.
36*t**2
Let y(f) be the first derivative of -1/12*f**4 + 0*f**2 + 1/2*f**3 - 2 + f. Let m(b) be the first derivative of y(b). Find the second derivative of m(h) wrt h.
-2
Suppose 0 = 3*l + 2*r - 10, r - 18 = -4*l - 3. Let v be 28/21*3/2. Find the second derivative of -6*z**3 + 0*z - v*z + l*z**3 wrt z.
-12*z
What is the third derivative of y**2 + 12*y**2 - y**2 + 4*y**6 + 9*y**6 wrt y?
1560*y**3
Let q(w) = -w**3 + 2*w**2 + 2*w - 3. Let i be q(2). Differentiate -c**3 - 3*c**3 + 1 + i + 2*c**3 with respect to c.
-6*c**2
Let v(z) be the second derivative of z**3/2 - z**2/2 + z. Let y be v(1). Find the first derivative of -4*h**2 + 0*h**2 + 2 - y*h**3 + 4*h**2 wrt h.
-6*h**2
Let t(k) be the first derivative of -4*k**7/7 + k**3/3 - 8. What is the third derivative of t(c) wrt c?
-480*c**3
Suppose 2*l + 2*x - 6 = 0, -5*l + 0*l + 2*x + 15 = 0. Suppose -5*q = -20 - 5. Find the second derivative of 0*z + 0*z**5 + l*z**q - 4*z wrt z.
60*z**3
Suppose 5*w + 3*q + 4 = -11, 3*q = -4*w - 15. What is the first derivative of 2 + 2*o + 1 - 4 + w wrt o?
2
Let h(o) be the first derivative of -o**7/140 + 7*o**6/360 - 4*o**3/3 - 3. Let p(g) be the third derivative of h(g). Find the third derivative of p(x) wrt x.
-36
Differentiate -5*u**4 + 10*u**4 + 16 - 13*u**4 wrt u.
-32*u**3
Let h be (0/(-1))/(-1 + 0). Suppose -3*g + 2*g = h. Find the second derivative of 3*t - t + g*t - 2*t**4 wrt t.
-24*t**2
Let c = -15 - -19. Find the second derivative of c*b**2 - 4*b - 5 + 5 wrt b.
8
Find the third derivative of z**3 - 5*z**3 - z**2 + 0*z**3 wrt z.
-24
Let b be ((-2)/(-6))/(3/18). Let n(c) be the first derivative of 0*c**4 + 2/5*c**5 + 1 + 0*c + 1/2*c**b + 0*c**3. Find the second derivative of n(u) wrt u.
24*u**2
Let l(c) = 0*c**2 + 0 + c**2 + 5 + 11*c. Let s be l(-11). What is the second derivative of -6*m**5 + m + 2*m**5 + m**s wrt m?
-60*m**3
Let c be 2/((-6)/(-15)*1). Find the second derivative of 3*b + c + 5 - 10 - 4*b**5 wrt b.
-80*b**3
Let z(k) = -k**3 + k**2 + k + 1. Let f(a) = 6*a**4 + 6*a**3 - 13*a**2 - 6*a - 6. Let s(x) = f(x) + 6*z(x). What is the third derivative of s(j) wrt j?
144*j
What is the second derivative of -9*v**2 + 24*v + v - 13*v wrt v?
-18
What is the third derivative of 3*g**2 - 41*g**4 + 37*g**4 + 8*g**2 wrt g?
-96*g
Let g(v) be the third derivative of -1/12*v**4 + 2*v**2 + 0*v**5 - 1/60*v**6 + 0 + 0*v**3 + 0*v. What is the second derivative of g(a) wrt a?
-12*a
Let z(m) = m**2. Let a be z(2). Let b = 0 + a. Find the second derivative of -w - 4 + b + w**2 wrt w.
2
Let h(r) = 10*r**4 - 4*r**3 - 4*r**2 - 10. Let c(q) = -q**3 - q**2 + 1. Let t(k) = 4*c(k) - h(k). Find the first derivative of t(x) wrt x.
-40*x**3
Let h(z) = -z**2. Let b(r) = 41*r**4 + 6*r**2 + 2*r. Let q(l) = -b(l) - 6*h(l). Find the second derivative of q(g) wrt g.
-492*g**2
Let m(s) be the second derivative of -s**7/420 + s**6/360 - s**3/6 - 3*s. Let r(c) be the second derivative of m(c). Find the third derivative of r(b) wrt b.
-12
Suppose -5*t = -5*m + 35, 2*m + 21 = 3*t - 8*t. What is the second derivative of -5*j**2 - j**2 + j + 6*j**2 + m*j**5 wrt j?
40*j**3
Let b(f) = -11*f**3 - 5*f - 3. Let p = -3 + -3. Let h(i) = 12*i**3
|
{
"pile_set_name": "DM Mathematics"
}
|
*r + r**3. Let o be v(-2). Let z be (-30)/(-9) - o/3. Solve 0 = -3*g - 4*q - 17, -7*q + z*q - 25 = -5*g for g.
1
Let s = 29 - 21. Suppose -4 + 24 = -2*u. Let o be (s/u)/((-2)/5). Solve -3*c = -5*d + 2, -o*c + 6 = 3*c + d for c.
1
Let n be (6/(-8))/((-3)/(-96)). Let w = 42 + n. Suppose -l - 5*q = 0, -q + w = 4*l - 2*l. Solve t - 3 = -5, -l = k + 5*t for k.
0
Let s be (45/(-6))/(6/(-16)). Suppose 3*j + n = 2*j + 13, -5*n = -3*j + 31. Let z be (-7)/(-2) - (-2)/(-4). Solve j = 3*f + z*b, 0*b + 3*b = -5*f + s for f.
4
Let f = 39 + -12. Suppose 4*k - 17 = w, -2*k + f = 2*k - 3*w. Let m(x) = -x**2 - 5*x + 2. Let r be m(-5). Solve -4*v - k*s + 2 = -s, 1 = -r*v - 3*s for v.
1
Let q = 49 + -49. Let y = 17 + -10. Solve q = r - w - w - 11, -r = 4*w + y for r.
5
Suppose -7*v + 0 + 49 = 0. Solve m - 6*m - 3*g = -25, 4*m = 3*g - v for m.
2
Let h = -22 - -28. Solve -3*w - 2*k + h*k + 2 = 0, 3*k - 11 = -4*w for w.
2
Let j(i) = -2*i - 32. Let n be j(-17). Solve -4*q + 4 = -k, 4 = 3*q + n*q - k for q.
0
Let n = -6 + 0. Let h be 5 + -1 + n/3. Suppose 0 = -3*d, -d - 2*d - 4 = -h*v. Solve -5*q - v*k = 10, 3*q - 5*q - 3*k = 15 for q.
0
Let x be 1 + -1 + 1 + 2. Let w = x - 1. Suppose -b = -0*b - 5*i + 14, 0 = -w*i + 6. Solve a = b, 0*s - 18 = -5*s + 2*a for s.
4
Let z(f) = -6*f - 58. Let p be z(-10). Solve p*v + 5*o + 2 = 0, -3*o = 5*v - 8 - 6 for v.
4
Let m(l) = 10*l**2 + l + 1. Let i(c) = 51*c**2 + 6*c + 6. Let x(b) = -2*i(b) + 11*m(b). Let y be x(-1). Solve -2*u - 5*h + 1 = -4*u, 0 = 5*u - 2*h - y for u.
2
Let x(y) = -4*y + 9. Let o be x(-5). Let s = 12 + -8. Solve -3*k - 5*a = -16, 0*a + s*a = 3*k + o for k.
-3
Let z be 2*(-1)/2*-2. Solve 19 = -3*w - j + 3, 0 = z*w - 2*j + 8 for w.
-5
Let f be ((-1)/(-1))/(((-42)/(-7))/30). Solve -10 = f*u, 3*i + 4 = 5*u + 11 for i.
-1
Let p(k) = -k**2 + 2. Let b be p(-2). Let q be b/(-4) - (-345)/10. Solve -5*u - 4*x = -q, 5*u + 2*x + 0*x = 25 for u.
3
Let f be -2 - 7/(21/18). Let g be 26/8 - (-2)/f. Suppose -3*i = -4 - 8. Solve -h - 11 + 5 = n, -22 = i*n + g*h for n.
-4
Suppose 4*i - 20 = -0*i. Let o = i + -2. Suppose 3 + o = 3*r. Solve 0 = -5*n + 10, -r*u - 11 + 3 = -4*n for u.
0
Suppose -3 = a - 11. Solve 4*k - 4*r - 4 = 0, -2*k - 2*r + a = 2*r for k.
2
Suppose 3 = 3*c + 4*s, -2*s - 6 = c - 3*s. Let m be c*(-2)/(-2) - -5. Solve 0 - m = -b - 5*x, x + 4 = 2*b for b.
2
Let p be (2/(-3))/(2/(-21)). Let y(j) = j**2 + 3. Let u be 3 + 2 + -1 - 4. Let v be y(u). Solve -m - 3*s - p = 0, -m - v*s = 4*m + 23 for m.
-4
Let k(t) = -2*t + 35. Let o be k(16). Solve o*j - 2*g + g - 11 = 0, -5*j + 5 = g for j.
2
Let n = -3 - 0. Let j = n + 28. Solve -2*r - 4*p = -2*p + 10, -j = 3*r + 5*p for r.
0
Suppose -k = 4*k - 30. Solve -k = -2*h, -3*j - h = j - 7 for j.
1
Suppose -3*h = -h - 8. Solve -4*z + 6 = i, i = h*z - 7 - 3 for z.
2
Let q(m) = m**2 - 9*m + 5. Let n be q(5). Let r = 15 + n. Solve 33 = 5*h + 2*t, -1 = 3*h - 4*t - r for h.
5
Let s = -4 + 7. Suppose s*c + 3*g - 33 = 0, 5*c = -4*g + 74 - 15. Solve -q + 0*z = -5*z + c, 3*q = 5*z - 5 for q.
5
Suppose -3*r = 4*h - 15 - 9, 0 = -5*h - r + 30. Solve 5*u - 3*f + h = -4*f, 12 = 3*f for u.
-2
Let l(y) be the second derivative of -y**3/3 + 3*y**2/2 + 6*y. Let n be l(0). Solve -8 = -d - n, 3*d - 19 = b for b.
-4
Let o(k) = k + 3. Let v be 0/4*(-1)/3. Let f be o(v). Suppose 3*q + 9 = 2*d + 34, 2*q + 5*d + 15 = 0. Solve 0*t + t = -4, -q*h - f*t = -3 for h.
3
Let z be 4/(-3) + 1 - 76/(-57). Solve -5*g = -k - z + 2, 1 = -g + k for g.
0
Suppose 3 = -q + 35. Solve y = -2*s + 3, 3*s - y - 3*y - q = 0 for s.
4
Let y be (-4)/22 + 68/11. Suppose 0 = 2*b + 2 - y. Let g(l) = 3*l**2 - l. Let r be g(b). Solve -25 = 5*n - 2*c, -2*n - 4*c + 9*c - r = 0 for n.
-5
Let b = 4 - 0. Suppose -4*s + 4 = -b. Let y be 0/1 - (s + -7). Solve -3*i - 14 = 5*o, 2*i - 11 = y*i + 2*o for i.
-3
Let x = -57 - -59. Solve x*d + 17 = 5*b, -d - d - 5 = -b for b.
3
Suppose 11 = 5*o + 1. Let z(f) = -f**2 + 7*f - 3. Let l be z(6). Let t = 7 - l. Solve 7*v - 3*x - 20 = o*v, -t*v - 2*x = -16 for v.
4
Suppose -5*h + 68 = 23. Suppose p = -4*m, -3*p + 5*m + 8 = -h. Solve 2*u + 0*f + 10 = -f, -3*u - p*f - 20 = 0 for u.
-4
Suppose -7*s + 3*s + 8 = 0. Let m = 4 - s. Solve 5*o + m*f = -29, 0 - 4 = 2*f for o.
-5
Let i = 27 + -16. Suppose 2*f + q = -i, q = 5*f + 4*q + 30. Let r be (-140)/(-6) + f/9. Solve -5*b = -3*p + 7, 6*p + 3*b = p + r for p.
4
Suppose -3*q + q + n + 8 = 0, n + 10 = 3*q. Suppose -12 + 0 = -q*f. Let u = f - 3. Solve -u*b = -0*o + 2*o - 7, b - 5 = -2*o for o.
2
Let k = -11 + 14. Solve 20 = -5*n, k*n - 3 = -4*s - s for s.
3
Let a(n) = -3*n + 1. Suppose m + 2 = -h, 2*m + 2*m = -h + 4. Let z be 12/8*m/(-1). Let d be a(z). Solve 3*p - 5*p = 3*k + d, 5*k = 3*p + 15 for p.
-5
Let c = -28 + 30. Solve -2*j - 5*m = -14, -c*j + 2*m - 18 = -m for j.
-3
Let i be -8 + 1 - 4/(-2). Let z be i/(-2) + (-2)/4. Solve 3 = -3*h, -7*h + z*h = -u + 6 for u.
1
Let d = 2 - 2. Let r = -8 - -20. Suppose -3*n = -6*n + r. Solve 18 = -i - 3*z, d*i + z = -n*i - 17 for i.
-3
Let l(t) = -t**2 - t - 1. Let m(h) = -h**3 + 6*h**2 + 2*h. Let n(b) = -3*l(b) - m(b). Let x be n(3). Solve 4*k + 3*u + 9 = 1, x = -2*k - u for k.
-5
Suppose -3*t + 3 + 9 = 0. Solve 2*i = -t*r - 2*i, 4*i - 40 = 4*r for r.
-5
Suppose -4*t + 6*t = 4*r + 12, -3*r = -5*t + 16. Solve 0*a = -4*a + 2*x - 12, 0 = 3*a + t*x + 2 for a.
-2
Let v = 46 - 91. Let c = v + 65. Solve -c = -5*b, -4*o + 0*o + 4*b = 12 for o.
1
Let h(k) be the first derivative of k**3/3 - 11*k**2/2 + 4*k - 2. Let o be h(11). Let j be (2/2)/((-1)/(-5)). Solve 3*v - 20 = j*f + o*v, 5*v - 45 = 4*f for f.
-5
Suppose 3*l + 2*l - 25 = -5*b, -22 = -5*b - 2*l. Suppose 0*h = -3*h + 12. Let i be 2*1*4/h. Solve 18 = 5*o + b*w, -i*o + 3*w + 4 = 6 for o.
2
Suppose 19*y - 15 = 14*y. Solve 0 + 5 = y*c - 4*r, -3*c - 20 = r for c.
-5
Let t(l) = -3*l + 10. Let h be t(2). Suppose 2*z = 4 - 0. Solve -4*g = -h*u + g - 16, z*u - 5*g + 18 = 0 for u.
1
Let d be 2/4*(-13 - -3). Let s = -2 - d. Solve 0 = w + r + 3 - 2, -w - 5*r + s = 0 for w.
-2
Let f = 50 - 48. Solve 4*x = 3*w - 13, 3*x + 13 = -f*w + w for w.
-1
Let z = 4 - 1. Suppose -3*t = -7 - 2. Solve -z*r = -t*m - 0*m - 12, -5*r + 22 = -3*m for r.
5
Let r be ((-9)/(-30))/(6/5)*8. Solve -r*g + 2*a = 6, -2*g = -5*g + 2*a - 10 for g.
-4
Suppose 2*q - 77 + 47 = 0. Solve -4 = 4*l, 2*g - l - 6 = -q for g.
-5
Suppose 5*d - 20 = 4*v, 5*v + 5*d - d - 16 = 0. Let b = 11 + -10. Let a be 4 + b/(v + 1). Solve a*n + 4 = -3*k - 7, -2*k - 2*n - 2 = 0 for k.
3
Let w(r) = -r**3 - 5*r**2 + 6*r + 4. Let k be w(-6). Let h = 26 - 6. Solve 5*l = -g + 6*g + h, -k*l = -3*g - 11 for g.
-5
Suppose 4*z - 14 - 10 = 0. Let g be ((-4)/z)/(4/(-18)). Solve 1 + 1 = 5*j - o, -2*o - 4 = -g*j for j.
0
Suppose 0*h + 3*h = 0. Let b = 3 + h. Solve 2*o = 5*l - o, -b*o - 12 = -l for l.
-3
Let i be 6/(-14) - 403/(-91). Solve -m = -i*h + 8, 3*h - 10 = -2*h + 2*m for h.
2
Let u be 224/(-24)*(-3)/2. Let b(q) = q**2 - 3*q. Let g be b(4). Suppose -g*l - 2 = -u. Solve 4*x = -4*k + 2*x - 20, -x - 15 = l*k for k.
-5
Let z = -3 + 5. Let h = 19 - 4. Let d = -53 - -58. Solve -5*a + h = 5*b, 16 = z*b + d*a + 4 for b.
1
Suppose 5*z = -w + 6*z + 11, 0 = -2*z - 2. Let q(m) = m**2 + 3*m. Suppose -9 - 6 = 5*b. Let h be q(b). Solve 4*u + 10 = 5*l, 2*u - u - 5*l + w = h for u.
0
Let h(c) = 3*c - 4. Let s be h(5). Solve z - 4*z = 5*w - 3, -s = -z - 5*w for z.
-4
Let o(h) = -h**2 + 6*h - 3. Let t be o(5). Solve -n - 5*i = 18, -3*n - t*i - 2*i - 10 = 0 for n.
2
Let q be (-36)/(-2) + 0/4. Solve -2*j + 0*n + q = 5*n, n - 6 = -j for j.
4
Let l be 648/66 - 2/(-11). Suppose 0 = l*y - 4*y - 72. Solve 0 = 2*b - 3*s + 9, -3*b = 3*s + s - y for b.
0
Let k(j) = j**3 + 6*j**2 + 3. Let y be k(-6). Solve 3*a + 0 = -u + 10, y*u = a - 10 for a.
4
Suppose -r + 2*r = 2. Let h = -6 - -8. Suppose -i = h*i. Solve 1 = -r*f + 2*q + 5, i = 4*f + 2*q + 10 for f.
-1
Let f be 4/1 + 10/(-50)*0. Solve -2*l - 2 = -f*i - 14, 10 = -i + 4*l for i.
-2
Let s(l) = l**3 - 3*l**2 + l + 2. Let v be s(3). Solve 0 = -w - v, -4*j + w + w = -2 for j.
-2
Let n be 4/(-6)*-12 + 2 + -5. Solve n*w - 3*l + 5 = 0, 2*w + l = -3*l - 2 for w.
-1
Let n(g) = g**3 - 9*g**2 + 9*g - 10. Let r be n(8). Let m = 0 - r. Solve -a + m*a - x = 1, 0 = 5*a + 5*x + 5 for a.
0
Let n(z) = -15*z + 1. Let p = 0 + -1. Let y be
|
{
"pile_set_name": "DM Mathematics"
}
|
*b**3 + 667800*b
Find the first derivative of 90376*g**2 - 1090*g + 483604655.
180752*g - 1090
What is the second derivative of 3*h**4 + 405*h**3 - 8566*h**2 + 116765456*h wrt h?
36*h**2 + 2430*h - 17132
What is the third derivative of 9385644*y**4 + 5434201*y**2?
225255456*y
Find the third derivative of -64096546*a**5 + 342568171*a**2.
-3845792760*a**2
Find the first derivative of 5198410*l**2 - 4315509 wrt l.
10396820*l
What is the third derivative of 4*f**5 - 251947*f**4 - 1193*f**2 - 1234*f - 3 wrt f?
240*f**2 - 6046728*f
Find the second derivative of 27670*f**2*z**2 - 107*f**2 - 11*f*z**2 - f*z - 765*f - z - 1 wrt f.
55340*z**2 - 214
Differentiate -112630578*o + 126903164.
-112630578
Find the third derivative of 193623496*r*s**3 - 30704*r*s**2 - 298*r*s wrt s.
1161740976*r
What is the third derivative of 1485641*g**2*i**3 - 20*g**2*i**2 - 14*g**2 - 1869*g*i**2 + i wrt i?
8913846*g**2
Find the third derivative of -297417862*o**3 - 123778349*o**2 + 4*o wrt o.
-1784507172
Differentiate 410057770*c - 99604769.
410057770
Find the first derivative of 25177343*j**2 - 14889084.
50354686*j
Find the first derivative of g**2 - 34486734*g + 272001747.
2*g - 34486734
Find the third derivative of 1348406882*d**3*f**3 + 465*d**3 + 115769*d*f - f**2 wrt f.
8090441292*d**3
What is the second derivative of 124102*a**4 + 14*a**2 + 587209709*a wrt a?
1489224*a**2 + 28
Find the first derivative of -4051*d**4*h - 2892*d*h + 435060303*h wrt d.
-16204*d**3*h - 2892*h
Find the third derivative of -31253225*a**4 - 28770254*a**2 wrt a.
-750077400*a
Find the third derivative of -1201715784*s**5 - 11213*s**2 - 37844.
-72102947040*s**2
What is the second derivative of -33005540*d**2*l - 5*d*l - 274*d - 1917*l - 1 wrt d?
-66011080*l
What is the third derivative of -7802*i**3*q**2 - 35*i**3*q - 5*i**3 + 74*i**2*q**2 + 17*i**2 - 30*i*q**2 - i*q - q wrt i?
-46812*q**2 - 210*q - 30
What is the second derivative of -1154168095*p**2 + 6859*p - 7314 wrt p?
-2308336190
Find the first derivative of -23*v**3 - 3*v**2 + 83107*v + 460644902.
-69*v**2 - 6*v + 83107
What is the third derivative of -93896*i**3*n**3 - 46403*i**3 + i**2*n**2 + 64*i**2 + 13*i*n**4 wrt n?
-563376*i**3 + 312*i*n
Find the first derivative of 4*c*v + 531195569*c + 714610*v**3 - 13*v**2 wrt v.
4*c + 2143830*v**2 - 26*v
Find the third derivative of -56677281*l*p**3 + l*p - 19426919*p**2 wrt p.
-340063686*l
Find the second derivative of -c**2*s**2 - 9735*c**2*s - 549*c**2 + 36168*c*s**2 - 86*c wrt c.
-2*s**2 - 19470*s - 1098
What is the third derivative of -1287462*n**3*w**2 + 18*n**3 + 18*n**2*w**2 - 2*n**2*w - n**2 - n - 4924355*w**2 wrt n?
-7724772*w**2 + 108
What is the derivative of -2*h**2 - 2554331*h + 15295258 wrt h?
-4*h - 2554331
What is the derivative of 87702*m**2 - 21*m + 281058890?
175404*m - 21
What is the third derivative of -392917*x**6 + 10*x**5 + 46327*x**2 - 7*x?
-47150040*x**3 + 600*x**2
Find the first derivative of 3*x**3 - 324969*x + 9213266.
9*x**2 - 324969
Find the second derivative of -11*g**3*i*k**2 + g**3*i - 1309906*g**3*k**2 - 12*g**3 - 2*g**2*k + 3390*g*i*k - 149*g*k wrt k.
-22*g**3*i - 2619812*g**3
What is the third derivative of 141*y**4 + 617181*y**3 - 2*y**2 + 74898295 wrt y?
3384*y + 3703086
What is the second derivative of -9102*u**2*v**3 + 220603873*u**2*v - 4760*v**5 wrt v?
-54612*u**2*v - 95200*v**3
Find the third derivative of -16399607*n**3 - 2*n**2 + 3*n + 373688.
-98397642
What is the derivative of -52099*s**2 + 731*s + 94040641 wrt s?
-104198*s + 731
What is the derivative of -2387039*b**2 - 7*b - 16927951?
-4774078*b - 7
Find the second derivative of 8234729*n**2 + 5014691*n.
16469458
What is the third derivative of 91966925*z**5 + 3356819*z**2 - 5*z?
5518015500*z**2
Find the third derivative of -641046788*x**3 - 4947179*x**2 wrt x.
-3846280728
What is the second derivative of 429797144*f**4 + 96721704*f wrt f?
5157565728*f**2
What is the derivative of 36871278*c**3*p**3 - 3*c**2*p**3 - 202402602*p**3 wrt c?
110613834*c**2*p**3 - 6*c*p**3
What is the second derivative of -25*s**4 - s**3 + 6464*s**2 + 17*s + 203858 wrt s?
-300*s**2 - 6*s + 12928
Find the second derivative of 79*w**3 + 5882*w**2 + 2963086*w wrt w.
474*w + 11764
Find the third derivative of 4*f**4*i - 2*f**4 + 3224*f**3*i - 80*f**3 - f**2*i + 66*f*i + 4*f - 33*i - 3 wrt f.
96*f*i - 48*f + 19344*i - 480
Find the third derivative of 4127*r*v**4 + 12*r*v**2 + 2*r*v + 12*r + 2338*v**3 - 7*v**2 - 2*v - 26 wrt v.
99048*r*v + 14028
Find the second derivative of 28416*o**5 - 20*o**3 + 51652*o - 194.
568320*o**3 - 120*o
What is the second derivative of -367473*o*p**2 - 2*o*p + 2*o - 805*p - 19926 wrt p?
-734946*o
What is the second derivative of 304017380*j**3 - 1198172338*j?
1824104280*j
Find the first derivative of 5*f**3 + 2*f**2 + 494140*f - 12121711.
15*f**2 + 4*f + 494140
What is the third derivative of -4115250*c**3 + 97*c**2 + 3885 wrt c?
-24691500
Differentiate 108126486*b**3 + 86929179 wrt b.
324379458*b**2
Find the second derivative of 35005624*d**2 + 49178565*d.
70011248
Find the second derivative of -2874*c*f**2 + 2*c*f*s + c*f - 76076*c*s + 12478*f**3 + 3*f**2*s - 7*f*s + 2 wrt f.
-5748*c + 74868*f + 6*s
What is the second derivative of 308793*d*r**4*t**2 - 7*d*r**3*t + 36*d*r - 497*d - 152*t**2 wrt r?
3705516*d*r**2*t**2 - 42*d*r*t
Find the second derivative of -10832429*w**2 - 8334433*w wrt w.
-21664858
What is the second derivative of b**4 + 99050*b**3 + 111*b**2 + b + 2759598 wrt b?
12*b**2 + 594300*b + 222
Differentiate -41*b**3*o - 22808963*b**3 - 375937*b**2*o**3 with respect to o.
-41*b**3 - 1127811*b**2*o**2
Find the third derivative of -29323424*l**4 + 8835287*l**2.
-703762176*l
What is the first derivative of -107947653*d**2 - 283017950 wrt d?
-215895306*d
Differentiate -13*m**4 + 378651*m - 17553731 with respect to m.
-52*m**3 + 378651
What is the third derivative of 1258*k**6 - 5*k**4 - 418*k**3 + 67*k**2 - 1215*k + 91?
150960*k**3 - 120*k - 2508
Differentiate -m*o**2 - 2572*m*o + 2044250*m - o**2 - 61*o wrt o.
-2*m*o - 2572*m - 2*o - 61
Differentiate -1186706948*d**3 + 154585538 with respect to d.
-3560120844*d**2
Find the third derivative of -15719264*z**4 + 6301153*z**2.
-377262336*z
Find the third derivative of -1693690*a**2*f**3 - 5932*a**2 - 4*a*d**2*f**4 - 2*a*d*f**2 + 130*d**2*f wrt f.
-10162140*a**2 - 96*a*d**2*f
What is the derivative of -2813519*i**3 + 25041372 wrt i?
-8440557*i**2
What is the third derivative of -72130762*f**3*r**2 + 2*f**2*r**2 + 3010*f*r**2 + 5*f + 628*r**2 wrt f?
-432784572*r**2
Find the second derivative of -6847173*k*v**2 - 9236766*k*v wrt v.
-13694346*k
Find the first derivative of 303128855*q - 349954821.
303128855
Find the second derivative of -350584888*n**2 + 717561260*n wrt n.
-701169776
What is the first derivative of -1096858255*z + 792438918 wrt z?
-1096858255
Find the second derivative of 1535*k**2*q**2 - 50590828*k**2*q - 6622*q**4 wrt q.
3070*k**2 - 79464*q**2
What is the first derivative of -146693620*f*w - 190231014*f wrt w?
-146693620*f
Differentiate 126*m**2*n*q*s + 2*m**2*s + 14681*n + 303737*q*s + 784 with respect to q.
126*m**2*n*s + 303737*s
What is the second derivative of 2*l*m**3 - 929220*l*m - 2*l - 2830300*m**3 + 2*m - 5 wrt m?
12*l*m - 16981800*m
What is the first derivative of 4647579*d + 1361464?
4647579
What is the second derivative of 10*a**3*b**2 + 1514476*a**3 + 18*a*b**2 - 656573*a wrt a?
60*a*b**2 + 9086856*a
What is the third derivative of 921462764*g**3 + 354*g**2 + 144*g + 262?
5528776584
Find the second derivative of -3*d**3*x**2*y - 5*d**3*y**2 - d**2*x**3*y - 27330*d**2*x**2*y - 1237165*x**3*y**2 - 5*x**2 + 2*x*y wrt y.
-10*d**3 - 2474330*x**3
What is the third derivative of 7790777*j**3 - 14608276*j**2 wrt j?
46744662
Find the second derivative of 38255678*s**2*w + 77941*s - 37*w wrt s.
76511356*w
Find the second derivative of 360600036*k**2*l + 514*k*l + 221094*l wrt k.
721200072*l
What is the derivative of 2*g**2*j**3 - 8122081*g**2 - 1239944*j**3 wrt j?
6*g**2*j**2 - 3719832*j**2
What is the second derivative of -486*n**4 - 66840*n**3 - 2*n**2 - 11235715*n + 3 wrt n?
-5832*n**2 - 401040*n - 4
What is the first derivative of 311*c*x**2 - 3*c*x + 5118*c + 3240*x**2 - 3*x + 3092 wrt x?
622*c*x - 3*c + 648
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Calculate the remainder when b is divided by 20/2*(2 + -1).
9
Suppose -2*q - 56*q = -522. Let p(u) = 2*u**3 - 17*u**2 + 14*u + 15. Calculate the remainder when p(q) is divided by 28.
26
Let f(p) = 35*p. Suppose 5*r - 2926 = 4*o - 11*o, -2*o + r = -836. Calculate the remainder when o is divided by f(2).
68
Suppose -i - 84 = 13*i. Calculate the remainder when (i - -3)*-9 - (-2 + 5) is divided by 5.
4
Suppose -3*u - 2*y + 32 = -410, -3*u + 5*y + 407 = 0. What is the remainder when 555 is divided by u?
123
Let z be (3024/(-81))/((-1)/(-3)). Let f = 131 + z. What is the remainder when -1*4*130/(-8) is divided by f?
8
Let y = -5515 - -6901. Calculate the remainder when y is divided by 19.
18
Suppose 17 = 3*w + 4*q - 17, 0 = 3*w - 4*q - 98. Suppose 151 - 61 = 3*g. What is the remainder when g is divided by w?
8
Suppose 6*f + 2435 = 11*f - 3*r, r - 2415 = -5*f. What is the remainder when f is divided by 78?
16
Let n(h) = -h**3 + h**2 + 2*h - 16. Suppose 372*p - 376*p - 12 = 0. Suppose -j = 5*m - 0 + 12, 4*m = j - 15. Calculate the remainder when n(p) is divided by j.
2
Suppose w + 3*w + 20 = 0. Let i(j) = 8*j + 36. Let q be i(w). What is the remainder when (28/10)/(5*q/(-700)) is divided by 28?
14
Let n be (-6)/(-4) + 6/4. Suppose -94 = -3*q + 4*f, 4*q - 6*f - 137 = -n*f. Calculate the remainder when -113*3/(-3)*1 is divided by q.
37
Let t(h) = -7*h**3 - h - 1. Let q = -239 + 239. Suppose q = 3*j, -5*f - 3*j + 155 = -7*j. Calculate the remainder when f is divided by t(-1).
3
Suppose 5*a + 19 = 2*m + m, 2*a = -2*m + 2. Suppose 0 = m*t + 2*o - 41, 2*o - 5 = -3. What is the remainder when (0 - -1)*1430/t is divided by 16?
14
Calculate the remainder when (-223)/(-6*(-14)/(-84)) is divided by 30.
13
Let k = 724 + -409. Suppose -2*n + 237 = -5*r, 277 = 5*n + r - 248. What is the remainder when k is divided by n?
103
Suppose 0 = 52*x - 312 - 312. Let u = -9 + 14. Calculate the remainder when x is divided by u.
2
Suppose -388032 = -36*q - 246*q. What is the remainder when q is divided by 1365?
11
Suppose 0 = -4*o - 4*p + 236, -8*p + 10*p = -4*o + 236. Calculate the remainder when 5248 is divided by o.
56
Let c = -26056 - -33904. What is the remainder when c is divided by 102?
96
Let g(h) = h**3 + 4*h**2 - 4*h + 3. Suppose -33654 = -5880*k + 5406*k. What is the remainder when k is divided by g(2)?
14
Suppose -22*v + 35 - 365 = 0. Let s = v - -39. What is the remainder when s is divided by 7?
3
Suppose -331 = -2*g - 133. Calculate the remainder when (-4)/3 - (-3498)/g is divided by 19.
15
Let k = 6 - -36. Let z = 512 + 135. Suppose 4 = w - 2*w, z = 3*b - 5*w. Calculate the remainder when b is divided by k.
41
Let m(p) = -p**3 - 6*p**2 + 24*p + 19. Let t be m(-11). Let v = -326 + t. What is the remainder when 269 is divided by v?
31
Let d(g) = 3*g**2 + 298*g + 1697. Calculate the remainder when 1102 is divided by d(-6).
14
Let x be (2 - -3 - 1) + 1. Suppose a = -2*z - 1 + 12, 5*z - 2*a - x = 0. Suppose -74*p - 816 = -142*p. What is the remainder when p is divided by z?
0
Let k(o) = -620*o - 6324. What is the remainder when 517 is divided by k(-11)?
21
Let v = -65 + 104. Suppose 4*b = 3*b + v. What is the remainder when 350 is divided by b?
38
Let m = 126 + -249. Let s = m + 134. What is the remainder when 20 is divided by s?
9
Suppose -2*z - 2833 = 3*q - 4*z, -q + 4*z = 941. Calculate the remainder when ((-18)/(-10))/(-1 - 954/q) is divided by 48.
45
Let b = -2106 + 2232. What is the remainder when b is divided by 40?
6
Suppose -56 + 8 = -4*n. Let d be ((-4)/(-10))/(5/(-150)). What is the remainder when (-417)/(-9) - 8/d is divided by n?
11
Suppose 0 = -55*u + 1286 + 2839. Calculate the remainder when 822 is divided by u.
72
Let a(i) = 20*i - 397. Let t be a(23). Suppose -75*m - t = -78*m. What is the remainder when 22 is divided by m?
1
Let f = -46 - -27. Let d = f + 45. Let t(v) = -468*v - 5134. Calculate the remainder when d is divided by t(-11).
12
Suppose 0 = 4*o + 32, -15*o + 23*o + 339 = 5*s. What is the remainder when 4839 is divided by s?
54
Let b(c) = c**3 + 6*c**2 - 12*c - 11. Let d be b(-7). Let l = d + 88. What is the remainder when l is divided by 1 + (-3)/(3/(-37))?
36
Suppose -b + 8 = -75. Suppose t + 20 = b. Suppose -2*o - 2*w + t = -3*w, w = -2*o + 53. What is the remainder when 85 is divided by o?
27
Let c = -149 - -244. Let l(t) = 3*t**2 - t - 268. Let q be l(0). Let o = q - -300. What is the remainder when c is divided by o?
31
Suppose -18*l + 296 = 11*l + 35. Calculate the remainder when ((-86)/(-4))/(5/10) is divided by l.
7
Suppose 0 = -u - 3, -3*u = 5*j + 39 + 1570. Calculate the remainder when 2*(-2)/(-20) + (-75456)/j is divided by 14.
12
Let d be (-2)/(-1)*(675/(-18))/15. What is the remainder when 220 is divided by d - (-2 + -18 + -2)?
16
Let n(x) = x**3 + 9*x**2 + 8*x + 12. Let z be n(-8). Let h(c) = c**3 + 6*c**2 - 8*c - 6. What is the remainder when z/(8/2)*2/6 is divided by h(-7)?
0
Let v be (44/16 + -4)*-4. Let k(c) = -c**3 + c + 6*c**2 + 5 + 3*c + 2*c + 2. What is the remainder when k(v) is divided by 22?
18
Calculate the remainder when 193 is divided by (57 - 51)/(10/15).
4
Let j = -6 + 164. Suppose 0 = -5*k + j - 28. Calculate the remainder when k is divided by 6/(-9) - 88/(-6).
12
Suppose 0 = 27*t - 83 - 349. What is the remainder when 61 is divided by t?
13
Let j be 607 - (-6)/3 - 4. Let o = j - 449. What is the remainder when o is divided by 27?
21
Let w = 179 - 117. Suppose 0 = -3*r + 4*u - u + 210, 3*r - 226 = -5*u. Let x = -40 + r. What is the remainder when w is divided by x?
30
Suppose 8*n - 10*n - 94 = 0. Let k = n + 67. What is the remainder when 34 is divided by k?
14
Suppose 5*g = 2*u + 1354, 5*u - 373 = -g - 113. Calculate the remainder when g is divided by 16.
14
Let f = 45 + -41. Suppose 0 = -5*c + 10, 582 = -f*w + c. Let a = -66 - w. What is the remainder when a is divided by 16?
15
Let g be (-3 - 156)/((-9)/(-9)). Let m = 166 + g. Calculate the remainder when m is divided by 2.
1
Let s(t) = 80*t**2 + 293*t - 22. What is the remainder when s(-4) is divided by -1 + 20 - (1 + 0)?
14
Suppose 100 = 8*a + 12*a. What is the remainder when ((-36)/(-10))/(2/20) is divided by 32/12*9 - a?
17
Suppose -11*n + 0*i + 160 = -4*i, -4*n - 2*i + 72 = 0. Calculate the remainder when n is divided by (95/38)/(5/12).
4
Let l(j) = -4*j + 10. Let a be l(5). Let w = -9 - a. Suppose -y = -5*y + 5*c + 43, -2*c + 22 = 4*y. Calculate the remainder when y is divided by w.
0
Let a = 8209 - 8191. Let d(s) be the second derivative of 35*s**4/12 - s**3/3 + s**2/2 - 2*s. Calculate the remainder when d(1) is divided by a.
16
Suppose -156 = 10*t - 366. Suppose w + 5*z + 13 = 0, 0 = -t*w + 26*w + z - 7. Calculate the remainder when 15 is divided by w.
1
Suppose 0 = 3*l + 15, d + 4*d - 4*l - 5 = 0. Let p(v) = -15*v - 4. Calculate the remainder when 120 is divided by p(d).
38
Let c be (552/20)/(2/15). Suppose -3*x = -0*x - c. Suppose x = 7*g + 13. Calculate the remainder when 29 is divided by g.
5
Let x(a) = 522*a - 1003. What is the remainder when 1592/10 + (-3)/15 is divided by x(2)?
36
Let p be (-382)/(-6) + 2/6. Let f = 78 - 97. Let j = p - f. Calculate the remainder when j is divided by 14.
13
Let j(o) = 4*o**2 - o - 5. Suppose -s = 2*w - 54, -155 + 139 = -4*w. What is the remainder when j(6) is divided by s?
41
Suppose 10*j = 6*j - 8. Calculate the remainder when 26 is divided by 0 + (j - 2)/28*-21.
2
Let w(z) = 5*z**2 + 10*z + 59. Calculate the remainder when w(-6) is divided by 16.
3
Suppose 45*l - 24*l - 9303 = 0. Suppose -d + l = -5*w - 96, -d + 3*w = -549. What is the remainder when d is divided by 63?
60
Let h = -3 + 22. Suppose 0 = -2*y - 0*y + 6*y. Suppose 10 = b - y. Calculate the remainder when h is divided by b.
9
Let b(a) = -a**2 + 7*a - 4. Let f be b(6). Suppose 28 = 6*d - f*d. Let q = -2391 - -2413. What is the remainder when q is divided by d?
1
Let x be (-95 - -5)*2/4. Let h = x - -72. Suppose 54 = 7*m - w, -m + 27 = -3*w + 5. Calculate the remainder when h is divided by m.
6
Let n = -25456 + 25500. Calculate the remainder when n is divided by 23.
21
Let w = -3420 + 3621. What is the remainder when w is divided by 50?
1
Suppose 538*k - 622*k - 16258 + 45742 = 0. Calculate the remainder when k is divided by 79.
35
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
. Determine u*h(t) + 7*d(t).
t**2 - 2*t - 4
Let k be 2/4*(43 + -4 + -3). Let y(q) = q**3 - q - 1. Let m(w) = 15*w**3 - 18*w - 18. Calculate k*y(l) - m(l).
3*l**3
Let p(n) = 8*n**2 + 4*n + 5. Let x(u) = 7*u**2 + 2*u + 4. Determine -3*p(w) + 4*x(w).
4*w**2 - 4*w + 1
Let j(z) = -z**2 + z + 1. Let y(s) = -2*s**2 - 2. Let m(p) = 2*p**2 - 3*p - 19. Let t be m(4). Give t*y(b) + j(b).
-3*b**2 + b - 1
Let n(x) = -x**2 + 6. Let m be (-5)/(4*(-3)/(-12)). Let r be 0 + (-2 - m - 8). Let p(w) = -w**2 + 5. Determine r*n(y) + 6*p(y).
-y**2
Let f(b) = b + 7. Let r(n) be the second derivative of -7*n**2 + 0 + 3*n - 1/3*n**3. Let t(y) = -7*f(y) - 3*r(y). Let h(s) = -2*s - 15. Give 6*h(a) - 13*t(a).
a + 1
Let f(n) be the third derivative of 7*n**6/720 - 5*n**4/8 - n**2. Let i(p) be the second derivative of f(p). Let z(h) = 22*h. Calculate -16*i(u) + 5*z(u).
-2*u
Let y(q) = 9*q**3 - 4*q + 4. Let d(k) be the second derivative of k**5/2 - 5*k**3/6 + 5*k**2/2 - 2*k + 17. Give 4*d(m) - 5*y(m).
-5*m**3
Let t(n) = -9*n**2 - 4. Let g(j) = -8*j**2 - 3. Suppose 44*m - 67 = 109. Give m*g(r) - 3*t(r).
-5*r**2
Let z(y) = y**3 + y**2 + 1. Let r(k) = -3*k**3 - 5*k**2 - 3*k - 7. Let i(p) = r(p) + 5*z(p). Let j = -655 - -658. Let s(g) = g**3 - g - 1. Give j*s(n) - i(n).
n**3 - 1
Let h(a) = -3*a - 1. Let w(u) = -12*u - 4. What is 4*h(o) - 2*w(o)?
12*o + 4
Let d(w) = -w**2. Let x(v) = -24*v**3 + 2*v**2. Calculate -2*d(y) - x(y).
24*y**3
Let j(x) = x**3 - 16*x**2 - 7*x. Let a(l) = l**3 - 15*l**2 - 6*l. What is -4*a(r) + 3*j(r)?
-r**3 + 12*r**2 + 3*r
Let a be (-2)/(-2) + 0/(-2). Let i(b) = -b. Suppose 0*v - 39 = -2*v - 5*h, 0 = -5*v - h + 40. Let m(d) = 0*d + 63 + v*d - 63. What is a*m(f) + 6*i(f)?
f
Let b(r) = 2*r**2 - 29*r - 2. Let m(v) = -v**2 - 2*v. What is -b(h) + m(h)?
-3*h**2 + 27*h + 2
Let y(v) = -v**2 + v. Let h(w) be the first derivative of -w**3 - 8 - 35 + 0*w**3 + 4*w**3 - 2*w**2. Give -h(g) - 4*y(g).
-5*g**2
Let m(i) = -i**3 + i**2 - i. Let g(z) = 177*z**3 - 354*z**2 + 354*z. Calculate g(c) + 354*m(c).
-177*c**3
Let x(t) = 14*t**3 + 6*t + 1. Suppose -2901*k + 2903*k = -26. Let u(v) = -29*v**3 - 13*v - 2. Determine k*x(o) - 6*u(o).
-8*o**3 - 1
Let b(o) = -2*o**3 + 6*o**3 - 3 - 6*o - 4 - 3*o**3 - 2*o**2 + 4*o**3. Let d(l) = 3*l**3 - l**2 - 3*l - 4. Calculate -4*b(u) + 7*d(u).
u**3 + u**2 + 3*u
Let v(c) = 4*c - 1. Let f(m) = -3*m + 1. Let h(x) = -x**3 - 20*x**2 - 4. Let s be h(-20). What is s*v(g) - 5*f(g)?
-g - 1
Let j(k) = -k + 2. Let z(c) = c - 2. Suppose -d = l - 4*d - 4, 0 = -l + 5*d + 8. Give l*z(g) - 3*j(g).
g - 2
Let c(m) = 3*m**2 - 2*m. Let q(v) = 70*v**3 - 6*v**2 + 4*v + 3. What is -2*c(y) - q(y)?
-70*y**3 - 3
Let t(p) = -2*p. Let f(m) = m**3 - 10*m**2 + 3*m + 50. Let b be f(9). Let g(o) = -3*o - 1. Suppose c + 0*c = 5*u - 12, -u = 2*c - 9. What is b*t(j) + u*g(j)?
-j - 3
Let b(g) = -1799*g**2 - 2*g - 15. Let n(c) = -2699*c**2 - 3*c - 21. What is -7*b(u) + 5*n(u)?
-902*u**2 - u
Let z(y) = 5*y**3 + 10*y**2 + y - 1. Let u(q) = 9*q**3 + 20*q**2 + 2*q - 1. Give 3*u(n) - 5*z(n).
2*n**3 + 10*n**2 + n + 2
Let v(n) = -n**3 - 2*n**2 + 1 - 1 - 2*n. Let p(w) = -4*w**3 - 9*w**2 - 9*w. Suppose 52*x + 56 = 38*x. Give x*p(a) + 18*v(a).
-2*a**3
Let f(b) = -2*b**2 - 5*b + 2. Let v(m) = -m**2 - 4*m + 1. Let g(x) = x**3 - 5*x**2 - 8*x + 15. Let p be g(6). Determine p*f(z) - 4*v(z).
-2*z**2 + z + 2
Let b(g) be the third derivative of -g**4/12 + 8*g**2. Let p(o) = 2 + 9 + 2*o - 10. Calculate -3*b(v) - 2*p(v).
2*v - 2
Let a(b) = 64787*b - 629. Let c(n) = -617*n + 6. Determine -6*a(m) - 629*c(m).
-629*m
Let v(s) be the third derivative of 5*s**4/24 + 2*s**3/3 - s**2. Let l(y) = 9*y + 7. Let o(d) = 24*d + 79. Let z be o(-3). Determine z*v(u) - 4*l(u).
-u
Let a(b) = -218*b. Let v(s) = 27248*s. What is -624*a(y) - 5*v(y)?
-208*y
Let v(p) = -p. Let h(z) = z**2 - 2. Let q be h(2). Let c(u) = -3*u + 1. Let s = 84 + -89. What is q*c(k) + s*v(k)?
-k + 2
Let l(p) = -4*p + 3. Let u = -1124 - -1131. Let v(h) = h - 1. Calculate u*v(x) + 2*l(x).
-x - 1
Let z(j) = 63*j**2 + 41 + 15*j**3 + 10 - 114 - 63*j - 96*j**3. Let f(x) = -5*x**3 + 4*x**2 - 4*x - 4. Give -63*f(c) + 4*z(c).
-9*c**3
Let w = -111 + 105. Let u(n) = n + 2. Let k = 4 - -1. Let p(i) = 4 + i + 2 - 4. Give k*p(z) + w*u(z).
-z - 2
Let d(u) = 52*u**2 + 2. Let b(f) = 3225*f**2 + 125. Give -4*b(q) + 250*d(q).
100*q**2
Let n(u) = 3*u**3 + 4*u**3 - 15*u**3 + 4*u**3. Let b(g) = 2*g**3. What is -5*b(a) - 3*n(a)?
2*a**3
Let t(a) = -4*a**3 + 2*a**2 - 2*a - 1. Let x(f) = 3*f**3 - 2*f**2 + 2*f + 1. Calculate -2*t(l) - 3*x(l).
-l**3 + 2*l**2 - 2*l - 1
Let x(f) = 10*f**3 - 16*f**2 - 16*f - 16. Let i(m) be the third derivative of m**6/60 - m**5/20 - m**4/8 - m**3/2 + 34*m**2. Calculate 16*i(q) - 3*x(q).
2*q**3
Let b(i) = 3*i + 1. Let a be b(1). Suppose -q + 18 = -a*n, -3*n = -4*q - 0*n + 59. Let s = q + -12. Let m(j) = -j**2 - 3. Let g(k) = 2. Give s*m(u) + 3*g(u).
-2*u**2
Let m(v) = 3*v - 3. Let r be m(-2). Let d be (1/(-2))/(r/18). Let w(o) = -o - 1. Let n(c) = 7*c + 2. Determine d*n(q) + 4*w(q).
3*q - 2
Let k(q) = 65*q + 11*q**2 - 7*q**2 - 64*q + 2*q**3 - 2*q**2. Let t(z) = -2*z**3 - 3*z**2 - z. Give -5*k(w) - 4*t(w).
-2*w**3 + 2*w**2 - w
Let t(p) = -6*p + 60. Let f(w) = -7*w + 61. What is -5*f(k) + 6*t(k)?
-k + 55
Let z(f) = -7*f. Let u(x) = 14*x. Let a be (-7 + 8)/((-3)/(-21)). Give a*z(v) + 3*u(v).
-7*v
Let w(a) = -a**2 - 5*a. Let l(v) = 2*v**2 + 17*v. Calculate -3*l(s) - 8*w(s).
2*s**2 - 11*s
Let c(u) = -23*u**3 + 11. Let a(i) = -2*i + 13. Let z be a(12). Let x(y) = 8*y**3 - 4. Give z*x(j) - 4*c(j).
4*j**3
Let q(t) = 15*t + 45. Let r(y) = 8*y + 24. Calculate 4*q(p) - 7*r(p).
4*p + 12
Let x(h) = -93*h + 3. Let i(b) = -372*b + 14. Calculate -2*i(u) + 9*x(u).
-93*u - 1
Suppose -10*x + 14*x = 0. Suppose x = -4*p - 25 + 5. Let z(a) = -a + 1. Let v(s) = -4*s + 3. Calculate p*z(j) + v(j).
j - 2
Let w(k) = 17*k**2 - 4 - 1 - 3*k + 0*k + 2*k. Let h(x) = -1. What is -5*h(l) + w(l)?
17*l**2 - l
Let u(j) = -16*j**2 - 10*j. Suppose 83*f = 80*f + 6. Let o(z) = 3*z - 218*z**2 + 217*z**f - 4*z. Calculate 10*o(d) - u(d).
6*d**2
Let u(k) = 126 - k**2 + 125 - 251. Let t(a) = 4*a**2. Determine -t(f) - 2*u(f).
-2*f**2
Let g(b) = -5*b**3 + 8*b**2 + 31*b - 8. Let x(j) = -2*j**3 + 3*j**2 + 11*j - 3. What is -3*g(h) + 8*x(h)?
-h**3 - 5*h
Let m(s) = -7*s**2. Let x(d) = -17*d**2 - 15*d**2 + 50*d**2 - 21*d**2. Determine -4*m(r) + 7*x(r).
7*r**2
Let f(v) = -6*v - 7. Suppose 5*o + 3*r - 27 = 0, -4*o = 43*r - 41*r - 20. Let a(n) = -11*n - 13. Give o*a(k) - 5*f(k).
-3*k - 4
Let y(u) = u. Let v be (-2 + 3)/((-23)/23). Let l(f) = 8*f - 1. What is v*l(r) + 6*y(r)?
-2*r + 1
Let f(o) = -8*o**3 - 2*o**2 - 3*o. Let y(x) = -16*x**3 - 2*x**2 - 5*x + 1. Let t(w) = -5*f(w) + 2*y(w). Let q(n) = n**3 + n**2 + n. Give -5*q(r) + t(r).
3*r**3 + r**2 + 2
Suppose 3*x + x + 20 = 0. Let l(m) = 2*m**2 - 7*m + 5. Let d(k) = 3*k**2 - 11*k + 8. Let g(p) = 19*p + 46. Let b be g(-2). Give b*l(c) + x*d(c).
c**2 - c
Let n(s) be the second derivative of 59*s**3/6 + 22*s - 1. Let r(v) = 20*v. Determine -3*n(f) + 8*r(f).
-17*f
Let v(j) be the second derivative of -j**5/4 - j**4/2 - j**3 - 6*j**2 + 79*j. Let s(h) = 4*h**3 + 5*h**2 + 5*h + 11. Calculate 6*s(k) + 5*v(k).
-k**3 + 6
Let a(g) = 5*g**3 - 10*g + 4. Let o(q) = 21*q**3 - q**2 - 40*q + 17. Calculate -9*a(f) + 2*o(f).
-3*f**3 - 2*f**2 + 10*f - 2
Let j(q) = -883*q**2 + 12*q - 6. Let r(s) = 2179242*s**2 - 29614*s + 14807. Calculate 14807*j(a) + 6*r(a).
871*a**2
Let r(q) = 11*q - 3. Let u(y) = -y. Let g(h) = -5*h + 2. Let c(d) = -g(d) - 2*u(d). Let o = 13763 - 13771. Give o*c(v) + 5*r(v).
-v + 1
Let w(q) be the second derivative of -q**4/2 + 11*q**3/6 + 3*q**2 + 4*q + 4. Let u(o) = o**2 - o - 1. Give -5*u(k) - w(k).
k**2 - 6*k - 1
Let m(s) = 3*s**3 - 11711 - 11711 + 23417 + 5*s. Let v(l) = -4*l**3 - 7*l + 7. Give -7*m(t) - 5*v(t).
-t**3
Let a(z) = 2*z - 1. Let o(s) = -2*s + 77. Determine 2*a(f) + o(f).
2*f + 75
Let l(j) = j - 3. Let s(f) = -f + 2. Suppose 14*q - 182 = 7*q. Suppose q - 35 = -3*b. Calculate b*s(w) + 2*l(w).
-w
Let n(h) = -127*h + 2. Let t(z) = -386*z + 6. Calculate 17*n(p) - 6*t(p).
157*p - 2
Let w(a) = -a**2 - a - 1. Let r(y) = 0*y**2 + 2*y - 2*y**2 - 2 - 4*y. Let l be 6/(-5) + ((-2418)/2635 - (-2)/17). Calculate l*r(x) + 3*w(x).
x**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1405820 = 0.
-5, 70291
Factor 165*c**3 + 44394*c**2 - 42129*c - 2430.
3*(c - 1)*(c + 270)*(55*c + 3)
Factor 2*l**3 + 28990*l**2 + 104426454*l - 4544099046.
2*(l - 43)*(l + 7269)**2
Factor 5*t**3 - 4715*t**2 - 9450*t.
5*t*(t - 945)*(t + 2)
Suppose 2*a**3/17 - 6384016*a**2/17 + 5094457536032*a/17 = 0. Calculate a.
0, 1596004
Suppose -2*d**3/7 + 198886*d**2/7 - 795520*d/7 + 795512/7 = 0. Calculate d.
2, 99439
Let -4*x**4/3 + 113*x**3/3 - 689*x**2/3 - 1478*x/3 - 224 = 0. What is x?
-1, -3/4, 14, 16
Let -4*l**4/3 - 28*l**3 + 664*l**2/3 + 112*l - 864 = 0. Calculate l.
-27, -2, 2, 6
Factor 2*d**3 + 81280*d**2 + 825723514*d - 1651772164.
2*(d - 2)*(d + 20321)**2
Factor 5*b**3/2 + 3635*b**2/2 + 7230*b.
5*b*(b + 4)*(b + 723)/2
Factor -5*v**3 + 45095*v**2 - 810175*v + 765085.
-5*(v - 9001)*(v - 17)*(v - 1)
Factor n**2/5 + 9659*n/5 + 7724.
(n + 4)*(n + 9655)/5
Solve -365*w**3 + 4730*w**2 + 195*w = 0.
-3/73, 0, 13
Suppose -267*c**2/2 + 254*c - 110 = 0. Calculate c.
2/3, 110/89
Solve 5*q**5 - 100*q**4 - 1265*q**3 - 1580*q**2 + 11460*q + 20880 = 0 for q.
-6, -4, -2, 3, 29
Factor 4*j**5 + 1304*j**4.
4*j**4*(j + 326)
Factor -c**3 + 626*c**2.
-c**2*(c - 626)
Factor h**2/4 + 125*h/2 - 1206.
(h - 18)*(h + 268)/4
Let -3*x**2 - 939*x + 2844 = 0. Calculate x.
-316, 3
Solve 5*l**4 - 3530*l**3 - 24880*l**2 - 53430*l - 32085 = 0.
-3, -1, 713
Solve 2*x**5/7 - 138*x**4/7 - 7922*x**3/7 + 8194*x**2/7 + 7920*x/7 - 8056/7 = 0 for x.
-38, -1, 1, 106
Factor -3*i**2/5 - 687888*i/5 - 39432491712/5.
-3*(i + 114648)**2/5
What is v in 2*v**4 - 53084*v**3 + 352185794*v**2 + 704530848*v + 352291968 = 0?
-1, 13272
Factor 5*j**3 - 1180*j**2 + 46915*j + 48100.
5*(j - 185)*(j - 52)*(j + 1)
Find w, given that -4*w**3/5 + 376*w**2/5 + 2364*w/5 + 720 = 0.
-3, 100
Factor 2*x**2 - 302492*x + 302490.
2*(x - 151245)*(x - 1)
Suppose o**4/3 + 194*o**3 + 25755*o**2 - 734472*o = 0. Calculate o.
-303, 0, 24
What is v in 3*v**2 - 133629*v - 133632 = 0?
-1, 44544
What is a in -a**5 - 41*a**4 - 498*a**3 - 2084*a**2 - 3592*a - 2208 = 0?
-23, -12, -2
What is m in 7*m**5/4 - 33*m**4 - 3*m**3 + 1019*m**2/2 + 2181*m/4 + 135/2 = 0?
-3, -1, -1/7, 5, 18
Factor -4*c**2 + 15397624*c - 14817926552836.
-4*(c - 1924703)**2
Factor -i**3/5 - 2561*i**2/5 - 1754559*i/5 - 28885491.
-(i + 95)*(i + 1233)**2/5
Suppose -2*d**4/3 - 964*d**3/3 + 968*d**2/3 + 964*d/3 - 322 = 0. What is d?
-483, -1, 1
Determine n, given that -2*n**4 - 1286*n**3 - 23630*n**2 + 51126*n - 26208 = 0.
-624, -21, 1
Factor 2*s**3 + 24*s**2 - 10488*s + 254144.
2*(s - 38)**2*(s + 88)
Solve -3*h**3 - 5166*h**2 + 26013*h + 186516 = 0 for h.
-1727, -4, 9
Factor -3*a**2/2 + 2967*a/2 - 4437.
-3*(a - 986)*(a - 3)/2
Factor -36*h**2 + 1960*h - 864.
-4*(h - 54)*(9*h - 4)
Find l, given that 15*l**3 - 950103*l**2/4 + 997545*l/4 - 23751/2 = 0.
1/20, 1, 15834
Suppose -118*h**3/7 - 694*h**2/7 - 978*h/7 + 18 = 0. Calculate h.
-3, 7/59
Factor 3*l**2 - 36*l + 96.
3*(l - 8)*(l - 4)
What is u in -125*u**5 - 7225*u**4 - 25915*u**3 - 14195*u**2 + 6240*u + 1620 = 0?
-54, -3, -1, -1/5, 2/5
Suppose -100*w**5 - 3380*w**4 + 54944*w**3 - 55648*w**2 - 71744*w - 16192 = 0. Calculate w.
-46, -2/5, 2, 11
Let 88*w**5/3 + 3170*w**4/9 + 3176*w**3/3 + 2840*w**2/3 + 64*w/9 = 0. Calculate w.
-8, -2, -1/132, 0
Factor -2*p**5/3 - 140*p**4/3 + 144*p**3 - 436*p**2/3 + 146*p/3.
-2*p*(p - 1)**3*(p + 73)/3
Determine q, given that q**3/3 - 860*q**2 - 7747*q/3 - 1722 = 0.
-2, -1, 2583
What is b in 3*b**4 - 54*b**3 - 39*b**2 + 666*b + 648 = 0?
-3, -1, 4, 18
Factor 2*q**3 + 1192854*q**2 + 177861986736*q - 177863179592.
2*(q - 1)*(q + 298214)**2
Let -45*m**5 - 5871*m**4/7 - 3981*m**3 - 34269*m**2/7 - 11598*m/7 + 360/7 = 0. What is m?
-12, -5, -1, -2/3, 1/35
What is w in 303*w**3 + 36912*w**2 + 1120875*w - 200934 = 0?
-61, 18/101
Solve -4*z**2/11 + 1557998*z/11 + 1558002/11 = 0.
-1, 779001/2
Let 5*m**5 - 2570*m**4 - 7745*m**3 - 5170*m**2 = 0. What is m?
-2, -1, 0, 517
Let 5*d**2 + 548320*d + 15032741120 = 0. What is d?
-54832
Factor -3*d**5/2 - 468*d**4 - 49995*d**3 - 1958592*d**2 - 27818127*d/2.
-3*d*(d + 9)*(d + 101)**3/2
Factor -f**4/3 - 6*f**3 - 65*f**2/3.
-f**2*(f + 5)*(f + 13)/3
Let -5*m**4/7 + 212*m**3 + 9335*m**2/7 + 2506*m + 9696/7 = 0. What is m?
-16/5, -2, -1, 303
Factor 4*c**2 - 1028*c - 273840.
4*(c - 420)*(c + 163)
Factor a**3/8 - 4*a**2 - 56*a + 640.
(a - 40)*(a - 8)*(a + 16)/8
Let -92*u**4 + 192*u**3 - 16*u**2 = 0. Calculate u.
0, 2/23, 2
Determine t so that -14*t**2/3 - 520*t/3 - 74/3 = 0.
-37, -1/7
Determine r, given that r**4/3 - 1906*r**3/3 + 302736*r**2 + 1906*r/3 - 908209/3 = 0.
-1, 1, 953
Factor -f**4/7 - 276*f**3/7 - 765*f**2.
-f**2*(f + 21)*(f + 255)/7
Factor 16*f**2 - 160386*f + 20048.
2*(f - 10024)*(8*f - 1)
Let r**3/7 - 19855*r**2/7 + 119099*r/7 - 99245/7 = 0. Calculate r.
1, 5, 19849
Determine j, given that 10*j**4/3 - 6263*j**3/2 - 52474*j**2/3 + 16697*j/2 - 945 = 0.
-6, 1/5, 1/4, 945
Factor -3*q**4 - 147942*q**3 - 1825086099*q**2 - 29172978864*q - 116654054592.
-3*(q + 8)**2*(q + 24649)**2
Determine n, given that 4*n**2 + 3848*n + 457588 = 0.
-823, -139
Suppose 5*f**3 - 260*f**2 - 22315*f - 22050 = 0. What is f?
-45, -1, 98
Solve -5*j**3/3 + 470*j**2/3 + 955*j/3 + 160 = 0 for j.
-1, 96
Suppose z**2/2 - 10711*z/2 + 16062 = 0. Calculate z.
3, 10708
Find a such that -46*a**3/15 - 254*a**2/15 + 29344*a/15 - 57304/15 = 0.
-29, 2, 494/23
Let -p**5/6 + 25*p**4/6 - 85*p**3/3 + 145*p**2/3 + 57*p/2 - 105/2 = 0. What is p?
-1, 1, 3, 7, 15
Solve 3*t**3 - 224475*t**2/7 + 41226*t - 64128/7 = 0 for t.
2/7, 1, 10688
Let -c**4/6 + 1805*c**3/3 - 1087211*c**2/2 + 3256220*c/3 - 1627208/3 = 0. What is c?
1, 1804
Factor -u**2/2 - 200814*u - 20163131298.
-(u + 200814)**2/2
Factor x**5/2 + 171*x**4 - 1038*x**3 + 2084*x**2 - 1392*x.
x*(x - 2)**3*(x + 348)/2
Let 3*k**3 + 20526*k**2 + 35130240*k + 70178400 = 0. Calculate k.
-3420, -2
Factor -2*c**2/3 + 38*c/3 + 12460/3.
-2*(c - 89)*(c + 70)/3
Solve -2*r**4/11 - 94*r**3/11 + 82*r**2 + 1174*r/11 - 180 = 0 for r.
-55, -2, 1, 9
Determine v so that 50*v**2/21 - 124*v/7 + 144/7 = 0.
36/25, 6
Factor 4*b**5 + 516*b**4 - 3808*b**3.
4*b**3*(b - 7)*(b + 136)
Factor 2*y**4/9 - 13804*y**3/9 - 13808*y**2/3 - 41428*y/9 - 13810/9.
2*(y - 6905)*(y + 1)**3/9
What is g in g**4/2 + 45007*g**3/2 + 253192504*g**2 - 253215008*g = 0?
-22504, 0, 1
Let 36*h**4 - 363*h**3/2 - 5241*h**2/2 + 5763*h/2 - 231/2 = 0. Calculate h.
-7, 1/24, 1, 11
Factor -l**2/4 + 11049*l/2 + 22099/4.
-(l - 22099)*(l + 1)/4
Determine x, given that -968*x**2/3 - 286*x/9 + 148/9 = 0.
-37/132, 2/11
Suppose 2*l**3 - 350*l**2 + 8268*l + 62640 = 0. Calculate l.
-6, 36, 145
Let 4*p**5/9 - 364*p**4/9 - 4*p**3/3 + 1084*p**2/9 + 728*p/9 = 0. Calculate p.
-1, 0, 2, 91
Let -5*z**4 + 10*z**3 + 15*z**2 = 0. What is z?
-1, 0, 3
Find r such that -2*r**3 + 462130*r**2 - 26695748176*r + 26695286048 = 0.
1, 115532
Find o such that o**3/4 - 843*o**2/2 + 723945*o/4 - 2788900 = 0.
16, 835
Factor -2*x**2/15 + 242*x/15 - 92.
-2*(x - 115)*(x - 6)/15
Solve -2*r**2/3 - 2516*r - 15088/3 = 0 for r.
-3772, -2
Suppose 405*n**2 + 37274940*n + 857667377780 = 0. Calculate n.
-414166/9
Factor 3*h**4/7 - 54*h**3/7 - 1209*h**2/7.
3*h**2*(h - 31)*(h + 13)/7
Factor a**3/4 - 1277*a**2/4 + 2551*a/4 - 1275/4.
(a - 1275)*(a - 1)**2/4
Let t**5 - 820*t**4 + 234810*t**3 - 26148640*t**2 + 778475005*t - 2710340724 = 0. What is t?
4, 39, 259
Determine l so that -2*l**2/3 + 39848*l/3 + 159488 = 0.
-12, 19936
Factor 2*t**2 - 21698*t + 86760.
2*(t - 10845)*(t - 4)
Solve -3*b**2 - 36624*b - 111776448 = 0.
-6104
Factor -2*f**2 + 37954*f.
-2*f*(f - 18977)
Suppose -l**3/8 - 587*l**2 - 9389*l/8 - 2347/4 = 0. Calculate l.
-4694, -1
Factor -20*v**2 + 975*v - 4945.
-5*(v - 43)*(4*v - 23)
Find m such that 73984*m**3 - 3252032*m**2 - 143580*m - 1584 = 0.
-3/136, 44
Factor -1225*i**4 - 895*i**3 - 130*i**2.
-5*i**2*(5*i + 1)*(49*i + 26)
Solve 2*c**2 + 692740*c + 59986088450 = 0 for c.
-173185
Find d such that -4*d**2/5 - 14532*d/5 + 14536/5 = 0.
-3634, 1
Factor 2*b**4/9 + 958552*b**3/9 + 114852742088*b**2/9.
2*b**2*(b + 239638)**2/9
Factor 3*s**4 - 1926*s**3 + 247776*s**2.
3*s**2*(s - 464)*(s - 178)
Let 17*v**2 + 1879*v + 990 = 0. Calculate v.
-110, -9/17
Factor -2*c**2 + 23633*c + 35454.
-(c - 11818)*(2*c + 3)
Factor -6*s**2 - 826864*s - 551240.
-2*(s +
|
{
"pile_set_name": "DM Mathematics"
}
|
6*v**2 + 2*v + 1. Let x be z(r). Let a(g) = 7*g + 2. Let o(y) = -22*y - 6. Let l be 2/11 + 348/22. Determine l*a(n) + x*o(n).
2*n + 2
Let m(h) = 12*h + 11. Let i(v) = 3*v + 3. Determine -9*i(w) + 2*m(w).
-3*w - 5
Let j(x) = -9*x**3 - x**2 - 5. Let z(y) be the second derivative of 0*y**3 - 2*y**2 - 2/5*y**5 + 3*y - 1/12*y**4 + 0. What is -6*j(u) + 7*z(u)?
-2*u**3 - u**2 + 2
Let a(r) = 2*r**2 - 6*r + 4. Let l(y) = 5 + 0*y**2 + y**2 - 7*y + y**2. Let g(s) = -s**2 - 16*s + 22. Let t be g(-17). Give t*a(v) - 4*l(v).
2*v**2 - 2*v
Let o(b) = -2*b + 7. Suppose -9 - 3 = -2*y. Let m(d) = -d**2 + 5*d - 1. Let c be m(4). Let s(x) = 2*x + 0*x - x + 0*x - c. Give y*o(z) + 14*s(z).
2*z
Let t(g) be the second derivative of -g**3/2 + 33*g - 1. Let b(h) = 3*h. Determine -5*b(f) - 4*t(f).
-3*f
Let o(w) = -5*w**3 + 5*w**2 + 8*w - 6. Let g(v) = 3*v**3 - 3*v**2 - 5*v + 4. Let f = -2 + 5. Let a be (8/f)/((-2)/6). Calculate a*g(x) - 5*o(x).
x**3 - x**2 - 2
Let u(b) = 5*b**3 - 4*b**2 + 4. Let m(q) = -3*q**2 + 3 - 4*q**3 + 4*q**2 + 2*q**2 - 6. Suppose c - 2 = 2. Suppose -j - 9 = -4*j. Determine c*m(w) + j*u(w).
-w**3
Let y(n) = -4*n**3 + 2*n**2 - n + 5. Let t(o) = -5*o**3 + 3*o**2 - 2*o + 6. Determine 2*t(i) - 3*y(i).
2*i**3 - i - 3
Let c(m) = 3*m - 4. Let g(x) = x. What is -2*c(j) + 4*g(j)?
-2*j + 8
Let t(v) = -v. Let s(c) = 2*c**3 - 4*c - 2. Suppose -z + 10*z = -36. Determine z*t(w) + s(w).
2*w**3 - 2
Let d(n) = -13*n + 0 + 18*n + 2. Let m(y) be the third derivative of 0*y - y**2 - y**3 + 0 - 7/12*y**4. Determine -8*d(h) - 3*m(h).
2*h + 2
Let b(t) = -7*t**2 - 6*t - 10. Let c(k) be the first derivative of 8*k**3/3 + 7*k**2/2 + 11*k - 8. Determine -7*b(z) - 6*c(z).
z**2 + 4
Let c(t) be the third derivative of t**5/60 - 5*t**4/24 + t**3/3 + 12*t**2. Let v(x) = -2*x**2 + 6*x - 3. What is -4*c(f) - 3*v(f)?
2*f**2 + 2*f + 1
Let w(s) = -2*s - 4. Let g(u) = 3*u. Let t be g(-2). Let v = 245 + -244. Let l(h) = -1. Calculate t*l(y) + v*w(y).
-2*y + 2
Let w(d) = -3*d**2 - 3. Let u(c) = -c**3 - 3*c**2 + 3. Let j be u(-3). Let s(h) be the first derivative of -h + 0*h**2 + 1 - 1/3*h**j. What is -7*s(v) + 2*w(v)?
v**2 + 1
Let u(k) = 7*k - 5. Let g(t) = -t - 1. What is -6*g(y) + u(y)?
13*y + 1
Let r(p) = 3*p**2 + 5*p - 8. Let t(i) = 0 - 3*i + 5 + 701*i**2 - 703*i**2. What is -5*r(g) - 8*t(g)?
g**2 - g
Let a(j) = -7*j**2 + 15*j + 5. Let t(f) = 6*f**2 - 15*f - 4. Determine -4*a(g) - 5*t(g).
-2*g**2 + 15*g
Let f(p) = -36*p**2 + 5*p - 5. Let o(j) = -396*j**2 + 54*j - 54. Calculate 54*f(i) - 5*o(i).
36*i**2
Let n(w) = -10*w**3 + 5*w**2 - w - 11. Let s(u) be the third derivative of u**6/60 - u**5/60 + u**3/3 + u**2 + 9. What is 2*n(i) + 11*s(i)?
2*i**3 - i**2 - 2*i
Let w(p) = 2*p**3 - 4*p**2 - 4*p + 11. Let a(d) = d**3 - 2*d**2 - 2*d + 6. Let n = -17 - -23. Determine n*w(x) - 11*a(x).
x**3 - 2*x**2 - 2*x
Let x(l) = -2*l**2 - 5*l + 1. Let z be -3*(-3)/18*10. Let g(h) = 3*h**2 + 9*h - 2. What is z*x(t) + 3*g(t)?
-t**2 + 2*t - 1
Let z(s) be the second derivative of -s**4/12 + 2*s**3/3 + s**2/2 + 5*s. Let t(a) = 3*a**2 - 9*a - 2. Calculate 3*t(p) + 7*z(p).
2*p**2 + p + 1
Let a(t) be the first derivative of -2*t + 6 - 1/2*t**2. Let i(g) = 2*g + 3. Determine 3*a(c) + 2*i(c).
c
Let m be (-2)/5 + (-12)/20. Let r(f) = -f**2 + 4*f + 1. Let j(l) = -l. What is m*r(g) - 4*j(g)?
g**2 - 1
Let j(n) = -2*n + 3. Let m(l) be the third derivative of -l**4/8 + 5*l**3/6 + l**2. What is -5*j(v) + 3*m(v)?
v
Let h(b) = 2*b - 8. Let s(j) = -j + 4. Let i(u) = -3*h(u) - 5*s(u). Let t(z) be the second derivative of 1/2*z**2 + z + 0. Calculate -i(v) + 4*t(v).
v
Let h(y) = -17*y**2 + 2*y - 8. Let s(r) = 8*r**2 - r + 4. Determine 6*h(k) + 13*s(k).
2*k**2 - k + 4
Let r(i) = -48*i - 2. Let f(v) = 48*v + 3. What is -3*f(h) - 4*r(h)?
48*h - 1
Let w(q) = 1. Let n(l) = -4*l - 5. Calculate n(b) + 5*w(b).
-4*b
Let d(t) = 8*t**3 + t. Let x(n) = n**3 - 7*n**2 - n + 1. Let m be x(7). Let i(h) = -23*h**3 - 3*h. Let g = 12 + -29. Calculate g*d(c) + m*i(c).
2*c**3 + c
Let h(v) = -v**3 - v**2 + v - 1. Let t(g) = 6*g**3 + 5*g**2 - 36*g + 5. Determine 5*h(y) + t(y).
y**3 - 31*y
Let f(p) = -17*p - 4. Let a(i) = 2*i + 4 + 2*i + 7 - 10. Determine 9*a(y) + 2*f(y).
2*y + 1
Let y(b) = -b**2. Let p(v) = -v**2 - v. What is -2*p(r) + y(r)?
r**2 + 2*r
Suppose 6 = 2*s - 3*j, -4*s - s + 15 = 4*j. Let x(a) = 4*a**3 - 3*a**2 - a + 2. Let b(y) = -5*y**3 + 4*y**2 + 2*y - 3. Give s*x(h) + 2*b(h).
2*h**3 - h**2 + h
Let z(i) = -i - 1 + 2*i**2 - 3*i**2 + 0*i**2. Let a(m) = 2*m**2 + 2*m**3 + 5 - 64*m + m**2 + 65*m. What is a(f) + 3*z(f)?
2*f**3 - 2*f + 2
Let a(h) = -14*h - 5. Let y = -24 - -13. Let o(z) be the second derivative of -5*z**3/6 - z**2 + 2*z. What is y*o(r) + 4*a(r)?
-r + 2
Let w(g) = 2*g + 2. Let c(d) = 0*d + 0*d - 6*d - 6. Suppose -7*q = -4*q + 24. What is q*w(z) - 3*c(z)?
2*z + 2
Let b(i) = -10*i**3 - 11*i**2 - 11*i + 11. Let r(x) = 2*x**3 + 2*x**2 + 2*x - 2. Let j(o) = o + 7. Let w be j(-5). What is w*b(d) + 11*r(d)?
2*d**3
Let k(z) = -7*z**3 + 11*z**2. Let y(o) = 15*o**3 - 23*o**2. Determine 13*k(f) + 6*y(f).
-f**3 + 5*f**2
Let s(d) = -85*d**2 - 17*d. Let t(h) = -14*h**2 - 3*h. Determine -3*s(u) + 17*t(u).
17*u**2
Let a(n) = -n**3 - 3*n**2 - 2*n + 2. Let c be a(-2). Let o(v) = -c*v + v + 2*v + 0*v. Let q(k) = 4*k - 2. Suppose 4*x - 6*x - 2 = 0. Determine x*q(f) + 3*o(f).
-f + 2
Let r(v) = -7*v**2 - 2*v - 2. Let l(k) = -20*k**2 - 6*k - 7. Give -2*l(m) + 7*r(m).
-9*m**2 - 2*m
Let i(p) = 3*p - 5. Let z(y) = -16*y + 25. Calculate 22*i(a) + 4*z(a).
2*a - 10
Let g(a) = 215*a. Let s(n) = -8*n. Give -2*g(c) - 55*s(c).
10*c
Let u(k) = 14*k**2 - 3*k - 53. Let l(g) = -5*g**2 + g + 18. What is 17*l(b) + 6*u(b)?
-b**2 - b - 12
Let w(g) = 5*g**3 + 4*g**2 - 4*g - 3. Let c(k) = k**3 + k**2 - k - 1. What is -3*c(j) + w(j)?
2*j**3 + j**2 - j
Let r(z) = z**3 + 7*z. Let d = 72 - 51. Let v(g) = -g. Calculate d*v(m) + 3*r(m).
3*m**3
Let h(t) = -5*t**3 + 7*t**2 + 5*t. Let u = 2 + 2. Suppose -2*q - 32 = 5*p, 4*p + u*q + 7 = -21. Let w(f) = 2*f**3 - 3*f**2 - 2*f. What is p*h(v) - 14*w(v)?
2*v**3 - 2*v
Let k(r) = r - 3. Let a(q) = 3*q - 8. Calculate 3*a(z) - 8*k(z).
z
Let z(i) = -120*i**3 + 25*i**2 - 25*i. Let t(y) = 10*y**3 - 2*y**2 + 2*y. Calculate 25*t(m) + 2*z(m).
10*m**3
Let j be -5 + (-3)/(-1) + -2. Let y(r) = 5*r**3 + 5*r**2 - 17*r - 11. Let h(d) = -2*d**3 - 2*d**2 + 6*d + 4. Suppose p = 4*p + 33. Determine j*y(l) + p*h(l).
2*l**3 + 2*l**2 + 2*l
Let d(w) = 1. Suppose -4*g - 13 = -3*m - 3, -3*g + 3 = 3*m. Suppose -m*a + 2 = -0. Let k(y) = 2*y - 12. Determine a*k(r) + 12*d(r).
2*r
Let q(x) = x + 5 + 6*x - x - 2*x. Let g(l) = 3*l + 4. Let v(t) = 4*t**3 - t - 1. Let w be v(-1). Let a be 1/3*60/4. Give a*g(m) + w*q(m).
-m
Let m(c) = 3*c - 2. Let f = 9 + -7. Let i(s) be the third derivative of 0*s**3 + f*s**2 + 0 + 1/24*s**4 + 0*s. What is -5*i(a) + m(a)?
-2*a - 2
Let l(a) = 1 - 4 + 7*a - 8*a**2 + 1. Let y(p) = -15*p**2 + 13*p - 4. Calculate 11*l(b) - 6*y(b).
2*b**2 - b + 2
Let p(s) = 5*s**2 + 3*s + 3. Let j(b) = 4*b - 3*b + 5 + 4*b + 9*b**2. Let y be -1*(-5)/(-4)*4. Determine y*p(f) + 3*j(f).
2*f**2
Let o(h) = 6*h**2. Let b(n) = -31*n**2 - 5*n. Let p(t) = -78*t**2 - 13*t. Let l(z) = -13*b(z) + 5*p(z). Let f be 1*5 + (-1)/1. Calculate f*l(i) - 9*o(i).
-2*i**2
Let t(p) = -2*p**2 + p. Let o(m) = -6*m**2 + 3*m. Let c = 16 + -13. Calculate c*o(v) - 8*t(v).
-2*v**2 + v
Let r(f) = -f - 4. Let a = 15 - 13. Let d(s) = 3*s + 9. Determine a*d(h) + 5*r(h).
h - 2
Suppose 5*z = -0*z - 20. Let x = -12 + 7. Let j = x + 6. Let t(c) = c**2 + c + 1. Let o(r) = 3*r**2 + 4*r + 5. Calculate j*o(g) + z*t(g).
-g**2 + 1
Let t(c) = -2*c**3 + c**2 - 6. Let y(w) = -1. Let b(v) = v**2 - 6*v + 4. Let m(r) = r**2 + 6. Let z be m(0). Let o be b(z). Calculate o*y(g) - t(g).
2*g**3 - g**2 + 2
Let g(x) = -6*x**2 - 8*x. Let o(l) = l**2 + l. Determine -g(y) - 8*o(y).
-2*y**2
Let s(j) = 36*j**3 + 5*j**2 + 5. Let a(x) = -90*x**3 - 12*x**2 - 12. Determine -5*a(m) - 12*s(m).
18*m**3
Let s(j) = 14*j - 3. Let k(n) = -15*n + 4. What is -3*k(q) - 4*s(q)?
-11*q
Let g(q) = 8*q**3 + 4*q**2 - 4. Let u(l) = 7*l**3 + 3*l**2 - 3. What is -3*g(c) + 4*u(c)?
4*c**3
Let x(a) = a. Let r(q) = -4*q + 17 - 9 - 8. Determine -r(d) - 3*x(d).
d
Let g(v) = 3*v**3 + v**2 + v. Let z(p) = p**3 + p**2 + p. Let r be 46/161 + 32/
|
{
"pile_set_name": "DM Mathematics"
}
|
(((sqrt(112) - (-1 + sqrt(112) + sqrt(112) - sqrt(112)))**2 + 2)*5 + -4)*-2.
-22
Simplify (-2*(4 + (sqrt(192) + 1*sqrt(192) + 3 - -5*-1*sqrt(192))))**2.
-1344*sqrt(3) + 7108
Simplify -5*(sqrt(1573) + (1 + sqrt(1573) + sqrt(1573))*-2 + 1 + sqrt(1573) + -4)**2.
-31585 - 1100*sqrt(13)
Simplify ((2*sqrt(126))/(sqrt(42)/(sqrt(36)/sqrt(6))) + 3)*2.
6 + 12*sqrt(2)
Simplify (5*(sqrt(153) + -5) - ((sqrt(102)/sqrt(3))/sqrt(2) + -2))**2.
-644*sqrt(17) + 3861
Simplify ((sqrt(24) + sqrt(168)/(3*sqrt(7)))*6)/(3*sqrt(72)/sqrt(6)*5).
8*sqrt(2)/15
Simplify (3*sqrt(96)/sqrt(8))/(sqrt(192)/sqrt(2)).
3*sqrt(2)/4
Simplify 6*((sqrt(66)*-3*6 - sqrt(66))/(-2*sqrt(96)))**2.
11913/32
Simplify (-5 + (0 + sqrt(117) + sqrt(117) + (sqrt(117) - (1 + sqrt(117)*-1)) + 2 + sqrt(117) + -1)*-4)**2.
600*sqrt(13) + 46825
Simplify 5*(1*(sqrt(304) + (sqrt(304) + -2)**2) + -1).
-60*sqrt(19) + 1535
Simplify sqrt(275) + 5 + sqrt(11) + sqrt(44)/(2*sqrt(4) - sqrt(4)) + ((sqrt(99) + -2*sqrt(99) + sqrt(99) - sqrt(99)) + sqrt(11))**2 + 1.
7*sqrt(11) + 50
Simplify 4 + (sqrt(11) + ((sqrt(176)/sqrt(4) - sqrt(44)) + sqrt(11))**2 - (sqrt(11) + 1)*-4) - (-3 + (sqrt(99)*1 - (sqrt(55)/sqrt(45))**2)).
2*sqrt(11) + 209/9
Simplify -4 + (-5 + -3 + sqrt(162) - (sqrt(162)*-1)**2*4) + 1.
-659 + 9*sqrt(2)
Simplify 0 + (sqrt(60) + sqrt(60)*1*6)/(2*sqrt(12)*-1).
-7*sqrt(5)/2
Simplify sqrt(60)/(sqrt(108)/(sqrt(45)/sqrt(5))) - (sqrt(20)/sqrt(324) + 5)**2.
-2030/81 - sqrt(5)/9
Simplify (sqrt(119)*-2*-2*5)/((-5*(sqrt(42) - -2*sqrt(42)))/sqrt(6)).
-4*sqrt(17)/3
Simplify (-1 + (sqrt(200)/sqrt(10) + sqrt(5))**2)*-6 - 6*(2 + (sqrt(5)*-2)**2*5).
-876
Simplify (sqrt(80)/sqrt(2))/(1*sqrt(500))*1.
sqrt(2)/5
Simplify -5 + (6*(sqrt(192) + -1 + sqrt(192)) - (-2 + 3 + sqrt(192))).
-12 + 88*sqrt(3)
Simplify (6*(sqrt(352) + (sqrt(352)*-1 - sqrt(352) - sqrt(352)) + sqrt(352)) + sqrt(352))/(sqrt(24)/(sqrt(6)/sqrt(2)) + sqrt(8)).
-5*sqrt(11)
Simplify (sqrt(117)*2)/sqrt(9) + -3 + -5*((2*sqrt(1300) - sqrt(1300))**2 - sqrt(13)).
-6503 + 7*sqrt(13)
Simplify 5*(((-3*sqrt(180))/sqrt(9))/(-5*sqrt(50)/sqrt(5)))**2.
18/5
Simplify -1*sqrt(42)/(-5*sqrt(96))*2.
sqrt(7)/10
Simplify -4*(sqrt(11) - (sqrt(99)/(sqrt(9)*4))**2 - (sqrt(11) + 1 + sqrt(66)/sqrt(6))) + -3 + 2.
23/4 + 4*sqrt(11)
Simplify ((sqrt(56) - (sqrt(336)/(sqrt(6)*4) - sqrt(56)))/sqrt(2))/((sqrt(4) + (-1*(sqrt(4) - sqrt(144)) - sqrt(4)) + sqrt(4))*2).
7*sqrt(7)/48
Simplify ((sqrt(513)*-2*5)/sqrt(9))/(-1*sqrt(3)*-2*1).
-5*sqrt(19)
Simplify -6*1*sqrt(363)*-3 + (3*(sqrt(363) + 0 + sqrt(363)) + sqrt(363) + sqrt(363))*2.
374*sqrt(3)
Simplify (((2 + sqrt(425) - sqrt(425)) + -1 + sqrt(425))*4)**2*-6.
-40896 - 960*sqrt(17)
Simplify 5 + (1 + (2 + (sqrt(847) - (1 + sqrt(847))))**2 + (sqrt(847) + -1)*-4)*-1.
-1 + 44*sqrt(7)
Simplify sqrt(48)*-2 + 5 + (5*sqrt(6)/sqrt(2))**2*-5.
-370 - 8*sqrt(3)
Simplify (sqrt(102) - (sqrt(102) + (sqrt(102) - sqrt(102)*-4) - sqrt(102))*-6)/(sqrt(36)/sqrt(24) + sqrt(6)).
62*sqrt(17)/3
Simplify (sqrt(510)/((2*sqrt(90))/sqrt(9)))/(((sqrt(300) - sqrt(12))*-6)/sqrt(4)).
-sqrt(17)/48
Simplify -4 + (sqrt(96)/sqrt(32) + -5)**2.
-10*sqrt(3) + 24
Simplify sqrt(363) + (sqrt(363) - 2*sqrt(363))*-2 - 5*(4 + -2*sqrt(3)).
-20 + 43*sqrt(3)
Simplify -4 + (-1 + 1 + sqrt(242))*-3*-6 + -3.
-7 + 198*sqrt(2)
Simplify -1*(1*-3*(sqrt(468) + -1 + sqrt(468) - sqrt(468))*4)**2.
-67536 + 1728*sqrt(13)
Simplify (1*((sqrt(1872) + 1 + 1 - sqrt(1872)) + -5*(sqrt(13) - 1*sqrt(208))))**2.
60*sqrt(13) + 2929
Simplify 6*-3*(-2 + sqrt(432) - -2*sqrt(48)).
-360*sqrt(3) + 36
Simplify (3*sqrt(3645)*-2)/((-4*(sqrt(675) - sqrt(27)))/sqrt(3)).
27*sqrt(5)/8
Simplify ((sqrt(208) + 0 + -3*sqrt(208) + sqrt(208))**2 - sqrt(208)) + -4 + (-2*sqrt(208))**2.
-4*sqrt(13) + 1036
Simplify (sqrt(152) - sqrt(152)*-3*-2)/(sqrt(648) - (sqrt(648) + sqrt(648) + sqrt(648)*4)).
sqrt(19)/9
Simplify (-4 + 5 + -1 + sqrt(99) + (sqrt(99) - (0 + sqrt(99)) - sqrt(99)) + 3)**2.
9
Simplify (4*-6*sqrt(114))/(sqrt(6) + sqrt(6) + (3*sqrt(72))/sqrt(12)).
-24*sqrt(19)/5
Simplify (-1*-5*sqrt(88)*-2)/(1*sqrt(8)*-2 - (sqrt(8) - (1*sqrt(8)*3 + sqrt(8)) - sqrt(8))).
-5*sqrt(11)
Simplify (4*(-1*3*sqrt(17) + sqrt(2057)*-2))**2.
170000
Simplify -5 + (sqrt(1152) + -4 + -3 + sqrt(1152) - sqrt(1152))**2.
-336*sqrt(2) + 1196
Simplify 1*(sqrt(99) + -2 + 3 + -5).
-4 + 3*sqrt(11)
Simplify ((sqrt(150) + sqrt(150) + sqrt(150) + (sqrt(150) - sqrt(150)*2))/(sqrt(3) + sqrt(21)/(sqrt(7)*-3)))**2.
450
Simplify (sqrt(242) - (sqrt(242) + -2 + 5))**2 + (-1*sqrt(8) - sqrt(4)/sqrt(2)*-1).
-sqrt(2) + 9
Simplify (-1*(1*(sqrt(190) + (2*sqrt(190)*-1 - sqrt(190)) + sqrt(190) + sqrt(190)))/(sqrt(50)/(3*sqrt(80))))**2.
0
Simplify 4*(-4 + -3*sqrt(1900)*-2).
-16 + 240*sqrt(19)
Simplify -5 + -4*sqrt(40)/sqrt(8) + sqrt(5) + sqrt(50)/sqrt(10)*-2 + -4.
-5*sqrt(5) - 9
Simplify (2 + -3 + (2*sqrt(405) + -2 + 2)**2)*4.
6476
Simplify -2*(sqrt(10)/((sqrt(18) + sqrt(2))*1) + 5 + sqrt(5) + -1 + 1*sqrt(80)).
-21*sqrt(5)/2 - 8
Simplify 0 + ((sqrt(6) + (sqrt(150) - sqrt(150)*-2) + sqrt(150))/sqrt(243))**2.
98/9
Simplify 2*sqrt(63) + (-4*(1 + sqrt(7)))**2 - (sqrt(70) + (1*sqrt(70) - sqrt(70)))/sqrt(10)*3.
35*sqrt(7) + 128
Simplify 5 + (-1*sqrt(228)*1 + sqrt(228))/(1*sqrt(108)) + 4.
9
Simplify 6*(-1 + 1*sqrt(432)*3)**2.
-432*sqrt(3) + 23334
Simplify -2*sqrt(28)/sqrt(4)*3 + (sqrt(7) + -2*sqrt(7))**2*3*6.
-6*sqrt(7) + 126
Simplify (-5 + ((sqrt(176) - sqrt(176)*1*5) + 5)*-1)**2*-6.
-17496 + 1920*sqrt(11)
Simplify (sqrt(405)*-4)/(sqrt(9) - -3*sqrt(36))*-4.
48*sqrt(5)/7
Simplify 5 + sqrt(63)/((sqrt(216) + sqrt(54))/sqrt(6)) + -4.
sqrt(7)/3 + 1
Simplify (1*sqrt(14)*5)/(4*sqrt(21)/sqrt(3)) + -2.
-2 + 5*sqrt(2)/4
Simplify (5*sqrt(85)*-2 + (sqrt(85) - ((-2*sqrt(85)*-2 + sqrt(85) - sqrt(85)) + sqrt(85))) + sqrt(85))/(sqrt(245)*-3*-3).
-13*sqrt(17)/63
Simplify -5*(6*(2*sqrt(605) + 3 + sqrt(605) + 1*(sqrt(605) + (sqrt(605) - (sqrt(605) + 1)))))**2 + 1.
-1743119 - 31680*sqrt(5)
Simplify -3*(sqrt(192) + 6*-2*sqrt(192)) + -3.
-3 + 264*sqrt(3)
Simplify ((sqrt(176)/(sqrt(72)*6 + sqrt(8)))/((sqrt(55) - (sqrt(55) + 3*sqrt(55)*2))/sqrt(5))*-3)**2.
1/722
Simplify 5*(1*sqrt(891)*-4 + -5).
-180*sqrt(11) - 25
Simplify (0 + ((sqrt(8)/sqrt(4) - sqrt(2))*-4 - sqrt(16)/sqrt(72)))**2*6.
4/3
Simplify 6*((sqrt(5) + -4 + -1)**2 + sqrt(10)/sqrt(32)).
-117*sqrt(5)/2 + 180
Simplify (-1*(-3 + sqrt(3) + sqrt(6)/sqrt(2) - (sqrt(243) + -1 + sqrt(243))))**2*4.
256*sqrt(3) + 3088
Simplify (sqrt(490)*-3*-5)/((sqrt(288) - (sqrt(288) - ((sqrt(288) - (sqrt(288) - sqrt(288)*2)) + sqrt(288))) - sqrt(288)) + (sqrt(72)/sqrt(3))/sqrt(12)).
21*sqrt(5)/5
Simplify (3*(sqrt(63) + sqrt(315)/sqrt(5) + sqrt(63)) - sqrt(63))/((sqrt(135)/sqrt(5))/sqrt(3))*2.
16*sqrt(7)
Simplify 4*(5 + -1 + 0 + sqrt(612))*-3.
-72*sqrt(17) - 48
Simplify -4 + -4 + -4*sqrt(16)/(2*sqrt(8))*-2.
-8 + 4*sqrt(2)
Simplify (-1 + 1 + sqrt(176))**2 + sqrt(176) - (sqrt(77)/(sqrt(28)*3))**2.
4*sqrt(11) + 6325/36
Simplify sqrt(63)/(sqrt(9)*-2) + -4 + 2*sqrt(7) + (sqrt(35) + sqrt(875))/sqrt(5) + sqrt(7) + 1.
-3 + 17*sqrt(7)/2
Simplify (0 + sqrt(540)/(-4*sqrt(12))*6)**2 + -3.
393/4
Simplify -1*sqrt(833)*5 - ((sqrt(17) + 0)**2 + 2 + sqrt(272)*2).
-43*sqrt(17) - 19
Simplify ((-4*-1*sqrt(33) - sqrt(33))*-1)/(sqrt(11)*-2*-1*2).
-3*sqrt(3)/4
Simplify (3*sqrt(630)*2)/(-3*sqrt(640)).
-3*sqrt(7)/4
Simplify ((sqrt(162) - (sqrt(162)*-2 - sqrt(162)) - sqrt(162))**2*-2*6 - ((3*(sqrt(162) - (sqrt(162) + -1)) - sqrt(162) - sqrt(162)) + 1))*4.
-70000 + 72*sqrt(2)
Simplify (-2*(sqrt(15) - (sqrt(15) + -2*sqrt(15)*-3))/sqrt(3))**2 - (3*(sqrt(405) + sqrt(405)*-2 + sqrt(5) + (sqrt(50)/sqrt(2))/sqrt(5)))**2.
-1485
Simplify ((sqrt(18) - -6*-4*sqrt(18))/((sqrt(9) + (sqrt(729) - sqrt(9)))*-5 - sqrt(9)))**2.
1/2
Simplify (-3*-4*sqrt(99) + 1*sqrt(99) + 2 + 0)**2.
156*sqrt(11) + 16735
Simplify (1 + 3*sqrt(68))**2 - ((1*sqrt(272) - sqrt(272)) + 1*sqrt(17) + 3).
11*sqrt(17) + 610
Simplify ((sqrt(684) + sqrt(684) + 0 + -2 + -5 - (-1 + sqrt(684)*-1*2)) + 4)**2.
-96*sqrt(19) + 10948
Simplify (sqrt(171)/(sqrt(90)/(sqrt(10)*-1)))**2 + (sqrt(76) - sqrt(76)*-1)/sqrt(4) + 3.
2*sqrt(19) + 22
Simplify (sqrt(150)*2)/(sqrt(3)*2*-5)*-4.
4*sqrt(2)
Simplify ((sqrt(396) - (-1*sqrt(396) - sqrt(396)))*5)**2 + -1.
89099
Simplify -1 + (sqrt(76) + 1 + 1 - (2 + 0 + sqrt(1539) + sqrt(1539)))**2.
4863
Simplify (4*-1*((sqrt(6
|
{
"pile_set_name": "DM Mathematics"
}
|
*l = 703*l - 5*b + 80, -3*b = -4*l + 4*b - 112 for l.
0
Solve 2*c = 11*p + 40, -3*p = 593*c - 590*c - 99 for p.
2
Solve 2*z - 126 = -2*h, -7*z - 59278 = 4*h - 59530 for h.
63
Solve 256*d = 3*g + 252*d - 45, -18 = g - 3*d - 48 for g.
3
Solve 2*g - 23 = 3*t + 34, -102*t + 106*t = -3*g + 5*g - 74 for g.
3
Solve 5*u + 5*s - 3 - 9 + 9 + 0 = 17, 0 = -3*u + 79*s + 176 for u.
6
Solve -5*t = -5*u + 5421 - 5626, 0 = -2*u + 3*t - 122 for u.
-1
Solve -187 = -5*s - 136*y, -41*y = -0*s + 3*s - 43*y + 55 for s.
-17
Solve d - 97 = -4*a, -4459*a + 4458*a - 3*d + 236 = 0 for a.
5
Solve 4*v + 205 - 56 = -a + 98, -2*a = -2*v - 28 for a.
1
Solve 0 = -2*q - s + 33, 4*q + 15 = -337891*s + 337892*s for q.
3
Solve d - 2*h + 20 - 2 = 0, -402 = 4*d - 3*h - 370 for d.
-2
Solve 28*j - 650 = -2*k - 396, 2*j + 2*k = 20 for j.
9
Solve 5*o - 202*w - 521 = 0, -2*o - w + 20026 - 19995 = -4*o for o.
-17
Solve -4*w = l - 61, -9*l + 4*l - 6*w = -3*w - 33 for l.
-3
Solve 0 = 2*p - 4*a - 36, -4*a + 9056 = p + 9074 for p.
6
Solve -93*o - 149 = -4*b + 1359, -b = o - 0*b + 5 + 6 for o.
-16
Solve 18*v - 5628 = -4*d - 5682, 2*v + 2 + 19 = -3*v + 72*d + 6 for v.
-3
Solve -b - b - v = -7*b + b + 3, 22*b + 6*v = 74 for b.
2
Solve -n = 6*s + 76, 0 = -36049*s + 36053*s + 3*n + 46 for s.
-13
Solve -z + 4*z - 36 = 6*w, -9*w - 18*z + 14*z = 3 for w.
-3
Solve -300*x + 587*x - 90 = 288*x - 7*a, 3*x + 49 = 4*a for x.
1
Solve 0 = -3*c - 4274*g + 4278*g - 112, -g + 68 = -2*c for c.
-32
Solve 388056*d + 20 = -4*h + 388052*d, -h - 26 = 4*d for h.
2
Solve 6*g = -5*h - 17 - 16, -102 = -4*h + 38*g for h.
-3
Solve 0 = 7*k + 4*u - 412, -4*k + u + 12 = 4*u - 227 for k.
56
Solve 9*m - 11*m = -790*r + 786*r + 18, 0 = -2*m + 5*r - 22 for m.
-1
Solve -3*i - 9*n = -7*n + 77, 14*i + 193*n + 368 = 92*n + 96*n for i.
-27
Solve s + 3083*l = 3080*l + 4, 0 = -s + 72*l + 229 for s.
13
Solve -144 = -5*z + 3*m - 7*m - 159, 3*z - m = 8 for z.
1
Solve -16*u + 12*b + 68 = 4*u, 2*u - 3 = -2*u - 3*b - 2 - 9 for u.
1
Solve -5*n + 109*d - 24 = 106*d, 2*n + 15*d - 39 = 0 for n.
-3
Solve 5*x + 133*o - 135*o - 13 = 0, 0 = -x + 2*o + 17 for x.
-1
Solve 515*h - 2*g = 1027*h - 515*h + 29, -5*g + 463 = 52*h for h.
9
Solve -4*y - 25*a + 272 = 46*a - 29*a, -2*y - 2*a + 5 + 17 = 0 for y.
5
Solve 20*b - 38 + 69 = 21*b + 2*z, 30*b = -3*z + 75 for b.
1
Solve 176 = -h - 43*x, -2*h = 2*x - 79 + 95 for h.
-4
Solve 2*s - 15*n - 28 - 61 = 26, 3*s + n - 8 = 0 for s.
5
Solve 0 = -4*q - 245*f + 4, 5*q - 4*f = 449 - 444 for q.
1
Solve 0 = -2*t + 14*x + 680, -5959 + 5809 = t + 3*x for t.
-3
Solve -5*c = 3*b + 34, -3047*b + 3044*b = 15*c + 84 for b.
-3
Solve 0 = q + x + 4, 129*x = -2*q - 132*x + 264*x + 12 for q.
0
Solve 0 = -47*n - 3*t - 137 - 89, 4*n + 3*t = -n + 5*t - 31 for n.
-5
Solve 12*w - 10501 - 10506 + 31489 = 4*z + 10546, -z - 12 = -w for w.
2
Solve -4*m - 4*x = x - 33, 4*m + x + 982 = 995 for m.
2
Solve 2*h = 2*o - 32, 880 = 168*h - 173*h + 89*o - 34*o for h.
0
Solve 10*o = -5*s + 12*o + 41, o = 117*s - 118*s - 31 for s.
-3
Solve -3*n + 50*t = 49*t + 25, 4*n + 76 = 12*t for n.
-7
Solve -15*n + 18*u - 2322 + 2244 = 0, 0 = -u + 1 for n.
-4
Solve 660*w - 830*w - 1215 = -5*c, 5*c - 4*w = c + 48 for c.
5
Solve 5*f - 2*f - 28 + 1 = c, -7*c - 17 = -f - 8 for c.
0
Solve -4*l + 9*k = -30, 0 = -266*k + 229*k + 20 - 94 for l.
3
Solve -14*x - 51 = -x + 4*y, 0 = -2*y + 19 - 51 for x.
1
Solve -12*f - 8*g = -40, -5*f - 2*g + 2*g + g - 3 = -6*f for f.
4
Solve 2*c = 6*c + 12*c - 32, 9*j + 33 - 84 - 6 = 3*c for j.
7
Solve -2*n = -5*s - 150 - 93, 3*s - 148*n + 231*n = -230 for s.
-49
Solve -6 = -725*c + 723*c + d, -3*c + 196 = 92*d for c.
4
Solve -3*i - 13 = 4*r, i + 215 = 2104*r - 2158*r for r.
-4
Solve q = -5*u, 5*q - 58250 + 58223 = 2*u for q.
5
Solve 3*u - 8*b = 7*b - 10*b - 21, 9*u + 8 + 19 = 3*b for u.
-2
Solve 2540*i - 2*o + 6 = 2538*i, -10*i - 3*o - 86 = o for i.
-7
Solve -3*l + 686*q + 458 = 681*q + 487, 12*l + 2*q - 38 = 0 for l.
2
Solve 30*v - 470*a + 468*a = -158, -2*v = -4*v + 2*a - 18 for v.
-5
Solve -y = 2*q + 1, 3*q - 2129498*y = -2129497*y - 4 for q.
-1
Solve 2*h - 9 - 3 = -2*l, 14*l + 4*h + 4566 - 4640 = 0 for l.
5
Solve 392*z + 407*z = 804*z + 44*l + 132, 5*z + 2*l - 6 = 4*l for z.
0
Solve -5*w - 3*k - 130 = 0, -16*w - 2*k = -843 + 993 for w.
-5
Solve 2*i = 3*v + 25, -12217 = -v - 4*i - 12188 for v.
-3
Solve 0 = 4*s - 249289*w + 249290*w + 24, 5*s = 6*w - 2*w - 9 for s.
-5
Solve -15196*x = -15198*x - 18*j - 66, -3*j = 2*x + 6 for x.
3
Solve 46 = 30*f + 4*y, -14*f + 4525 = -y + 4515 for f.
1
Solve -4*m - 265*h = -529*h + 269*h - 39, 4*m - h + 3 = 0 for m.
1
Solve -40*k - 630 = 2*m + 3*m, -3*k = -9901*m + 9898*m + 54 for k.
-16
Solve 0 = -2*w + 5*r + 37, -65*w - 98*w + r - 6*r + 794 = -1250 + 266 for w.
11
Solve -l = -68*v - 4*l - l + 146 + 270, -4 = -4*l + 2*l for v.
6
Solve 0*o - o + 2*d = -5, 33*o + 33 = 34*o - 9*d for o.
-3
Solve 18*o + 26*o - 5*j = 61*o - 20*o + 212, -74 = -o + j for o.
79
Solve 2*a = 2*v + 20 - 88, 0 = -2591*a + 2590*a - 22*v + 35 for a.
-31
Solve -3*d + 1292 = 2*d - q + 1269, -2 = -6*d - 2*q for d.
3
Solve 7*g + 6 = -0*g - 2*r, 0*g - 3*g + 3*r + 144 - 135 = 0 for g.
0
Solve -3*y - 4*k + k + 7 = -k, -21 = 17*y - k + 38 for y.
-3
Solve -30*q = f - 176, -3*q = -39*f + 35*f - 34 for q.
6
Solve -54*h - 67*k = -56*h - 257, 3 = k for h.
-28
Solve -369*n + 514 + 268 = -551*n + 2*p, 2*p - 46 = -2*n for n.
-4
Solve 0 = 8*r + m + 22, -4*r + 62*m + 7 - 3 = 60*m for r.
-2
Solve -1310798*y + 1310793*y = 4*t - 37, y - 3*t + 4 = 0 for y.
5
Solve -3*z + 8*w + 6882 = 3440 + 3486, -w + 12 = -2*z for z.
-4
Solve -2838*w + 2836*w = v - 16, -5*v - w = -17 for v.
2
Solve 129976 = -2*j + 4*r + 129774, -4*j + r - 245 = -4*r for j.
5
Solve -1567*q + 1568*q + 2*t - 29 = 0, -37*q = -33*q + 3*t - 101 for q.
23
Solve -m = 7*g - 173, 104*g + 4*m + 177 = 112*g + m for g.
24
Solve 5*h + 7*b + 14 - 47 = 17 + 68, 5*h + 3*b - 62 = 0 for h.
4
Solve -4*p - 112 = 0, -5*h - 2*p + 53 = 129 for h.
-4
Solve -2*j - 31*g + 23 - 4 = 0, -307*g + 303*g = j - 21 for j.
25
Solve 0 = -3*z - 5*x - 8, -4*z - 31 + 102 = x + 76 for z.
-1
Solve 5*r - 152 = 3*a, 8538*r - 3*a = 8535*r + 96 for r.
28
Solve 3*s - 13248*y - 75 = -13251*y, 3*s - 47*y + 1225 = 0 for s.
-1
Solve -b + 3*y + 50 = 0, b = 65391*y - 65404*y - 30 for b.
35
Solve -46*r = -19*r - 26*r + 2*g + 16, 4*r - 192 = 24*g for r.
0
Solve -c - 17 = -6*f + 32, 5*c - 160 = -15*f for c.
5
Solve 5 = 5*o - 2*w, -3*o + 295998*w = 295997*w - 2 for o.
-1
Solve -66 = 7*o + 4*l, -10*o - 1918*l - 101 = -1919*l for o.
-10
Solve 18276*c = 18271*c + 2*b + 127, 2*c + 245 = -5*b for c.
5
Solve -4*k + 2*u = 19 - 67, 4*k + 3*u = 5*k - 62 for k.
2
Solve -3*q + 2*t - 5*t = 21, -3*q + 13*t - 543 = -474 for q.
-10
Solve 6*s + 4*j - 2*j + j - 141 = 0, -2*s + 3*j = 3*s - 145 for s.
26
Solve 863 = -60*n - j + 639, -5*n + 5*j = 100 for n.
-4
Solve 11 = 11*r + 3*d, -3*r - 71 = -7*r - 0*r + 5*d for r.
4
Solve -f - 128 = -20*r - 51 + 467, 151 = -4*f + 5*r for f.
-4
Solve 14*b - 330 + 282 = -2*f, 3*b + 24 = f for f.
24
Solve s = 3*s - 124, 2*h - 2*s - 2*s = -6*s + 118 for h.
-3
Solve -88*j + 93*j - 31 + 3 = -2*d, 5*d - 16 = j for d.
4
Solve 0 = 2*o - 6*z - 214, -3*z - 985 + 879 = -2*o for o.
-1
Solve 1551*a - 2*l = 1546*a - 107 + 407, -2*l + 222 = 4*a for a.
58
Solve 95623 = -l + 95626, 16*c - 105 = -3*l for c.
6
Solve 0 = -8*w + g + 701 - 716, 5*w + 3 = 3*g - 4 for w.
-2
Solve 88*b - 12*b - 3*n = 541, -6*n + 13 = 4*b - n for b.
7
Solve 2*h = -30*q + 3*h - 60 - 95, -h - 20 = -10*h + 5*h for q.
-5
Solve 7*h + 10*h - 18 = -2*u - 45, 0 = h - 3*u - 14 for h.
-1
Solve 4*x = 266960*i - 266970*i + 2*x - 88, -i = 4*x + 5 for i.
-9
Solve -156 = 32*x + 9*l - l - 9*l, -4*x + 2*l = 12 for x.
-5
Solve 10*s = 6*t + 6, 1405*s + 4*t = 1408*s - 4 for s.
0
Solve -4*q - j = -11, 2525*j - 2528*j + 6 = 3*q for q.
3
Solve -7 = 3*k - t - 2 - 12 + 6 + 5, 32*k = 6*t - 52 for k.
-2
Solve 344*g - 347*g - 2*h + 13 = 0, 0 = 2*g - 2*h + 19 + 19 for g.
-5
Solve 5*b + 5*y = -21 - 204, 643*b - 6*y + 59 = 642*b for b.
-47
Solve -64*w = -65*w + m + 29, 19 = 2*w + 11*m for w.
26
Solve 28 = 5*h - 3*q, q - 8*q = 7*h - 8*q - 20 for h.
2
Solve -6*o - 31 = 4*f - 3*o, 5*o + 416 = 33*f + 642 for f.
-7
Solve -q = 10*a - 6*a + q - 50, -57*q + 54*q + 27 = -10*a for a.
3
Solve 26 = -14*w
|
{
"pile_set_name": "DM Mathematics"
}
|
l**3 - 2*l**3)*(-1 - 2*l + 1)*(0 - 1 + 0)*(3 - 1 - 3).
6*l**4
Expand (-4*h - 3*h + 6*h)*(-304*h - 235*h + 466*h)*(2 - 4 + 4)*(-h - 5*h + 3*h).
-438*h**3
Expand (0*k + 3*k - 4*k)*(-4*k**3 - 5*k**4 + 4*k**3) - 163 + 163 - 7*k**5.
-2*k**5
Expand -z - 3 + 3 + (-3 + 8 + 1)*(1 + 2*z - 1) - 32*z - 1 + 3*z + 5*z.
-13*z - 1
Expand 0 - p**4 + 0 + (0 + 0 - 2*p)*(-p**3 + 3*p**3 + 0*p**3) + (651 - 651 - 75*p)*(2 - 4 + 1)*(3*p**3 - 4*p**3 - p**3).
-155*p**4
Expand (i - 3*i + 0*i)*(-3*i + 0*i + i)*(-22 - 107 + 9).
-480*i**2
Expand (13*n - 3*n + 7*n)*(-1 + 2 - 2)*(0*n**2 - 3*n**2 + 0*n**2 + (-n**2 + 1 - 1)*((3 + 1 - 5)*(1 - 1 + 2) + 0 + 3 - 1 + 2 + 2 - 3)).
68*n**3
Expand 2*l**4 + 2*l**4 - 2*l**4 + (3*l**2 - l**2 - l**2)*(l**2 - 3*l**2 + 3*l**2) + 15*l**3 - 15*l**3 - 26*l**4.
-23*l**4
Expand (0 + 0 - 2*x)*(-5 - 3 + 6) + (-3 + 7 - 3)*(-3*x + 2 - 2) + (-2*x - x + 0*x)*(3 + 0 - 2).
-2*x
Expand (-9 - 7 + 4)*(-2*i**5 - 1 + 1 + (2*i**4 - 2*i**4 - i**4)*(4*i - 2*i - i) + 2*i**5 - 5*i**5 + 2*i**5 - 21*i**5 - 2*i**5 + 41*i**5 + i**4 + i**5 - i**4).
-180*i**5
Expand -164*i + 174*i - i**4 + 3*i**4 - i**2 + i**2 - 3*i**4 - 4 - 2*i**4 + 4 + (4 - 4 - 2*i**2)*(1 + 2*i**2 - 1).
-7*i**4 + 10*i
Expand (-2 - 1 + 4)*(-119*q + 235*q + 127 - 114*q).
2*q + 127
Expand (134*t**2 - 4*t**2 + 112*t**2)*(-t**2 + 2*t**2 - 5*t**2 - 2*t**2 + 3*t**2 + t**2 + (-2*t + 4 - 4)*(-3*t + t + 0*t)).
484*t**4
Expand ((-3 - 1 + 3)*(-2 + 2 - 1) + 1 + 0 - 4 - 3 + 2 - 3)*(0*p - p - 3 + 0).
6*p + 18
Expand (-2*o + 3 - 3)*(-32*o - 25 + 64*o - 34*o).
4*o**2 + 50*o
Expand (-4*k**2 - 2*k**2 + 3*k**2 + 2*k**2 + k**2 + 0*k**2 + (k**2 - 4*k**2 + k**2)*(6 - 3 - 5))*(k**2 - 3*k**2 + 3*k**2).
4*k**4
Expand (-1 + 1 - 20)*(-3*l**3 + 3*l**3 + l**3)*(-2*l + 5*l + 2*l)*(l + l - l).
-100*l**5
Expand (3 - 2 + 0)*(100*c - 140*c - 66*c).
-106*c
Expand -1 + 1 + 3*p**3 + (-36*p - 16*p - 35*p)*(-2*p**2 + 0 + 0) - 2*p**3 + 5*p**3 - 2*p**3 + (-p + 2*p - 2*p)*(-2*p - p**2 + 2*p).
179*p**3
Expand (-y + 6*y - 3*y + (2 - 2 - 2*y)*(-1 + 7 + 1) + y + 4*y - 6*y)*(y + y - 3*y).
13*y**2
Expand (6*q - 133*q**5 + 129*q**5 - 3*q + 3)*(0 + 3 + 2)*(-6 + 2 + 2).
40*q**5 - 30*q - 30
Expand (n**5 + 2*n**5 - 4*n**5)*(3 - 2 - 2) + 41*n**5 + 9*n - 9*n.
42*n**5
Expand (101*x**3 - 101*x**3 - 7*x**4)*(-7 + 4 + 0)*(3*x + x - 6*x).
-42*x**5
Expand (-13*b + 18*b + 15*b)*(-1 + 0 + 0) - b - 3 + 3.
-21*b
Expand (2*u - 10*u - 9*u)*(54 - 34 - 104).
1428*u
Expand (7 - 4 + 6)*(-174*j - 365*j + 208*j - 163*j - 248*j).
-6678*j
Expand (9*x - 14*x + 31*x)*(x - 2*x - 9*x + (-2 - 4 + 5)*(1 - 1 - 3*x)).
-182*x**2
Expand (2 + 1 - 4)*(-l - 2 + 0 + 0*l) - 45*l - 15*l + 128*l + 0 - l + 0 + 2*l - l + l + (5*l + l - 4*l)*(-2 + 1 - 1) - 2*l + 3*l - 3*l.
64*l + 2
Expand -i**2 + 1 - 1 - 41 + 41 - 43*i**2 + (0 - 5 + 3)*(-2 + 2 - i**2).
-42*i**2
Expand (-2*k + 4*k + k)*(-4*k**3 + 3*k**3 - 16 + 3*k**3).
6*k**4 - 48*k
Expand -176*c**5 + 174*c**5 - 5 + 54 + (3*c**2 + 0*c**2 - 4*c**2)*(-c**3 - c**3 + c**3).
-c**5 + 49
Expand (-g - g**3 + g)*(5 + 0 - 4) - 208*g**2 - 392*g**3 + 208*g**2 + 9*g**3 - 13*g**3 + 10*g**3.
-387*g**3
Expand 4*h - h**5 - 4*h + (-h - h + 4*h)*(2*h**4 + h**2 - h**2) + 162*h**5 + 348*h**5 - 130*h**5 + (7*h**5 - 2*h**5 - 3*h**5)*(-3 + 0 + 5).
387*h**5
Expand (-x**3 + 5*x**3 - 2*x**3 + (-2*x - 3*x + 4*x)*(-144*x**2 - 234*x**2 + 117*x**2))*(3*x + 0*x + 0*x).
789*x**4
Expand (-2*o + 4*o - 69 + 28)*(0*o**2 - 2*o**2 + 0*o**2).
-4*o**3 + 82*o**2
Expand (9 - 9 + 15)*(t - 2*t + 2*t - 2 + (1 + 0 - 4)*(-5*t + 4*t - t)).
105*t - 30
Expand -v**2 + 2*v**3 - 1 + 129*v - 125*v + 0 + 4*v**3 + 2*v**3 - 3*v**3 + (v - 2*v + 0*v)*(v + 2*v**2 - v).
3*v**3 - v**2 + 4*v - 1
Expand 2*p**4 - 3*p**4 + 2*p**4 + (-1 - 4 + 3)*(-p**4 - p**4 + 3*p**4) + p**4 - 4*p**4 + p**4 + (p + p**3 - p)*(3*p - p + 0*p) + 40*p**3 - 40*p**3 + 29*p**4.
28*p**4
Expand (1231 + 28*l**4 - 1231)*(0*l - 2*l + 0*l) - 2*l**5 - l**5 + l**5.
-58*l**5
Expand (15*f + 2 - 22*f + 12*f)*(5 - 8 - 5).
-40*f - 16
Expand 2*b**4 + 4 - 4 + (-665*b + 665*b - 217*b**2)*(b**2 + 0*b**2 - 2*b**2).
219*b**4
Expand (g**2 + 3 - 3)*(-2*g + 5*g + g)*(1 - 59 - 38).
-384*g**3
Expand (-3*n**2 + 5*n**2 - 4*n**2)*(-2*n + 1 - 1) + 2*n**3 - n**3 + n**3 - 4*n**3 + 3*n**3 - 2*n**3 - 142*n**3 - 141*n**3 + 292*n**3.
12*n**3
Expand (109 + 26 + 82)*(-1 + 1 + 2*r)*(5 - 2 - 1).
868*r
Expand -8*t**5 + 10*t**5 + 20*t**5 + (9 + 4 - 6)*(3*t**4 - 3*t**4 - t**5).
15*t**5
Expand ((p**2 + 3*p**2 - 2*p**2)*(p**2 - 3*p + 3*p) + 0*p - p**4 + 0*p)*(-9834 + 123*p + 9834).
123*p**5
Expand 0*m**4 - m**5 + 0*m**4 + (17*m**4 + 6*m**4 - 14*m**4)*(-2*m + 2*m - m).
-10*m**5
Expand (-6*q**2 - 48*q**2 + 7*q**2)*(23 + 2*q - 23).
-94*q**3
Expand (3 + j - 3 + (5*j - 3*j - j)*(3 + 3 - 3) + (-2 + 2*j + 2)*(-1 - 3 + 1))*(7 - 7 + 4*j).
-8*j**2
Expand -32*u**2 + 228 - 452 + 223 + (-2*u + 5*u - 2*u)*(-u + 2 - 2).
-33*u**2 - 1
Expand (2153 + 1852 - 3474)*(2*t**5 - t**3 + t**3 + (-t**2 + 2*t**3 + t**2)*(-3*t**2 + 3*t**2 + t**2)).
2124*t**5
Expand (106*q - 116*q - 226*q)*(-3 + 0 + 1)*(4*q + 0*q - 3*q).
472*q**2
Expand 4*z + 0 + 0 + 2*z + 4 - 4 + (z - 4*z + 4*z)*(-2 + 3 - 3) + 2*z - 2*z - 2*z + 6*z - z + 2*z + (-4 + 1 + 1)*(-1 + 1 + z).
7*z
Expand (289 - 3*z**2 - 289)*(-z + 3*z + 0*z)*(0*z**2 + 0*z**2 - 3*z**2).
18*z**5
Expand -12*m**2 + 0 + 10*m**2 + 1 + (2*m**2 - 5*m + 5*m)*(-5 + 0 - 15).
-42*m**2 + 1
Expand (2 - 3 + 5)*(-2 - 3 + 9)*(10 - 5 + 2)*(-17*d**2 - 17*d + 17*d).
-1904*d**2
Expand (0*m + m + m)*(0 - m + 0) - 3*m**2 - 2*m**2 + 4*m**2 + m - 9*m**2 - 13*m**2 + 20*m**2.
-5*m**2 + m
Expand (-442 + 442 + 24*x + 4 - 4*x - 4 + 2*x - 1 + 1 - x - 3 + 3 + (0 - 2 + 4)*(-2*x + 2*x - x))*(1 - 1 - 2*x).
-38*x**2
Expand (a + 4 - 4)*(-2*a**3 + 2*a**3 + 2*a**3) + 6*a**4 - 4605*a + 4605*a - 119.
8*a**4 - 119
Expand (15*v - 15*v - 22*v**3)*(-2 + 3*v - 8*v + 1).
110*v**4 + 22*v**3
Expand (-z + z - 4*z)*(6*z - 3*z + 0*z) + z - z + z**2 + (-1 + 1 + 1)*(0*z**2 - z**2 - z**2).
-13*z**2
Expand (-4*m + 16 - 16)*(-26*m**2 - 10*m**2 - 1 + 9*m**2).
108*m**3 + 4*m
Expand (-2*d + 2*d + 2*d)*(-d**2 - 3*d**2 + 6*d**2) - 3*d**3 + 2*d**3 - d**3 + (-39 + 39 - 58*d)*(d**2 - d + d).
-56*d**3
Expand (y**2 + 2*y**3 - y**2)*((0 - 3 + 1)*(y - y + 2*y) - 9 + 9 - 7*y + 47 - 10*y - 47).
-42*y**4
Expand (36 - 36 + y**3)*(2*y + 0*y - 5*y)*(-3 - 2 + 3).
6*y**4
Expand (0*m**2 - m**2 + 0*m**2)*(36*m - 18*m + 27 - 15*m).
-3*m**3 - 27*m**2
Expand 2 - 2 + 2*h**3 + (-5*h + 5*h + h)*(-4*h - h**2 + 4*h) - 2 - 4 + 6 + 120*h**3.
121*h**3
Expand i**4 + 0 + 0 + 23 - 97*i**4 - 23 + (-3 + 3 + i)*(0*i**3 - 2*i**3 + i**3).
-97*i**4
Expand (-1514*r**3 + 34*r**3 - 1581*r**3 - 345*r**3 + 474*r**3)*(-3 + 3 + r).
-2932*r**4
Expand (-2 + 5 - 2)*(-3*v - 5*v - 2*v).
-10*v
Expand (-2 + 2 - 2)*(-3 + 3 + k) + 12 + 215*k - 34 + 22.
213*k
Expand (w - w - w**3)*(-w - 4*w + 3*w) + 11 - 11 - 23*w**4 + 4*w**4 + 2*w**4 + 0*w**4 + (-5*w**2 + 0*w**2 + 4*w**2)*(-1 + 2*w**2 + 1) + 0*w - 3*w**4 + 0*w.
-20*w**4
Expand (2 + 1 + 0)*(2*o + o - 2*o) + 5 - 2*o - 5 + 2*o - 2*o - o + (0 + 0 - 2*o)*(2 - 2 - 2).
4*o
Expand (0*s**4 + s**4 - 2*s**4)*(-253 + 94*s + 253).
-94*s**5
Expand (-5 + 4 + 8)*(16*y + 6*y - 9*y)*(3 + y**4 - 3).
91*y**5
Expand (76*t - 127 - 131 + 257)*(2*t - 5*t + 2*t).
-76*t**2 + t
Expand -2 - 43573*m**3 + 42747*m**3 + 2 + (5 + m - 5)*(-2*m**2 - 3*m**2 + 3*m**2).
-828*m**3
Expand (99 + 7 - 1902*u + 1898*u)*(-1 + 0 + 2).
-4*u + 106
Expand g**4 - 2*g**4 + 0*g**4 + (-1548*g**3 + 1133*g**3 + 1091*g**3)*(1 - 4 + 1)*(2*g - g + g).
-2705*g**4
Expand -w - 2*w + w + (-4 + 4 + 1)*(256*w + 216*w - 240*w - 1).
230*w - 1
Expand (2 + 3 - 3 + (0 - 1 + 0)*(-2 + 1 + 4))*(-9*j**2 - 18*j**2 - 12*j**2).
39*j**2
Expand (-5*s + 4*s + 3*s)*(-3*s - 3 + 3) + (-1 - 1 + 0)*(0*s**2 + 0*s**2 + 3*s**2) + s**2 - 5*s**2 + s**2.
-15*s**2
Expand (-3*c**2 - 16*c**2 + 4*c**2)*(2*c**3 - 11*c**3 + c**3).
120*c**5
Expand (3 - 1 - 4)*(-3 + 1 + 3 + 1 + 0 - 2 + (-6 + 3 + 1)*(2 + 0 + 0) + 1 + 1 - 4 - 2 - 3 + 3)*(-45*a - 23*a + a).
-1072*a
Expand -13*w + 360*w**2 - 180*w**2 - 179*w**2 - w**2 + w**2 - w**2 + (-1 + 1 - w)*(1 - 1 - w) + 3*w**2 + 2*w**2 - 4*w**2.
2*w**2 - 13*w
Expand (o + 0 + 0)*(133 - 6*o - 133) - o**2 - 3*o + 3*o + (3 + o - 3)*(0*o + 3*o - 4*o).
-8*o**2
Expand 2*v**2 + 586*v**3 - v + 3*v**2 - 584*v**3 + (3 - 1 + 0)*(4 - 4 + 2*v**3) - v**2 + 2*v**3 + v**2 + v**3 + 0*v + 0*v + 0*v
|
{
"pile_set_name": "DM Mathematics"
}
|
-443, -2.
-443, -2, 2, 3, 12, 703
Sort 0, -2110, -3, 2, 1721.
-2110, -3, 0, 2, 1721
Put -1, -0.281, 1.4, 5, 1513 in descending order.
1513, 5, 1.4, -0.281, -1
Put 5/3, -0.8, -8, -0.1, 6/5, 3591 in decreasing order.
3591, 5/3, 6/5, -0.1, -0.8, -8
Sort 1, 8, -42, 18, -34 in decreasing order.
18, 8, 1, -34, -42
Sort 3, 1, 27, -45, 5, -48.
-48, -45, 1, 3, 5, 27
Put 0, 2, -5, 12, -10, 4, 8 in ascending order.
-10, -5, 0, 2, 4, 8, 12
Put -14, -15, -4, -3308 in descending order.
-4, -14, -15, -3308
Sort -9, -0.249, 0.11, -35 in increasing order.
-35, -9, -0.249, 0.11
Sort -2803050, -2, -0.3.
-2803050, -2, -0.3
Sort -6, -3, 0, 1, 2, -348366 in decreasing order.
2, 1, 0, -3, -6, -348366
Sort -6/53, -5, 0.056, 256 in ascending order.
-5, -6/53, 0.056, 256
Sort 115, 21, -17, 1, -2/19, -7.
-17, -7, -2/19, 1, 21, 115
Put 3, 2, 4, -57, 23, -53 in ascending order.
-57, -53, 2, 3, 4, 23
Put 4, -85, -4, -13, 638, -3, -5 in increasing order.
-85, -13, -5, -4, -3, 4, 638
Sort -25508, -5, -2, 0, 78, 6, 5.
-25508, -5, -2, 0, 5, 6, 78
Put 149, -0.2, 0.5, -0.927, 2/11 in decreasing order.
149, 0.5, 2/11, -0.2, -0.927
Sort -5, -2, -104, 5, 6, 153, -1.
-104, -5, -2, -1, 5, 6, 153
Sort -21, -5, 5, 18/5, 1, -1131 in descending order.
5, 18/5, 1, -5, -21, -1131
Put -7, -2847, -43, 0 in increasing order.
-2847, -43, -7, 0
Sort -2, -77, -10, -14/17.
-77, -10, -2, -14/17
Put 4, 0.16, -3/68, -1300 in descending order.
4, 0.16, -3/68, -1300
Sort -9, 45080, 9 in increasing order.
-9, 9, 45080
Sort 8, 177, 4.77, 0.6, 2 in ascending order.
0.6, 2, 4.77, 8, 177
Sort -4, 2113962, -36/11 in descending order.
2113962, -36/11, -4
Sort 39, -1, 6352.
-1, 39, 6352
Sort -282, -5, -10/7, 2/3, 32 in decreasing order.
32, 2/3, -10/7, -5, -282
Sort 29662, 0, 30, -2 in descending order.
29662, 30, 0, -2
Put -3, 2, 28550405, -1 in decreasing order.
28550405, 2, -1, -3
Sort -10, -0.1, 2.33, 1075, 0.3 in ascending order.
-10, -0.1, 0.3, 2.33, 1075
Sort 1, -820, 27, -2, -1 in decreasing order.
27, 1, -1, -2, -820
Put -9, 38, -302, 3 in descending order.
38, 3, -9, -302
Sort 4, 372, 2, 0.1, 8, 0.4 in descending order.
372, 8, 4, 2, 0.4, 0.1
Put 7, 19, -100, -1, -7, 0 in increasing order.
-100, -7, -1, 0, 7, 19
Sort 269901, -2, -2/13, -0.4 in descending order.
269901, -2/13, -0.4, -2
Put -5, 4, -4495, -4, -1, 45 in decreasing order.
45, 4, -1, -4, -5, -4495
Put 0, 48.1, 461, -0.107, -5 in decreasing order.
461, 48.1, 0, -0.107, -5
Put 68, -117, 0, -30528 in decreasing order.
68, 0, -117, -30528
Sort -1166, -3, -4, -1, -16, -5 in ascending order.
-1166, -16, -5, -4, -3, -1
Sort -1/4, -12954, -14/9, 3/13 in descending order.
3/13, -1/4, -14/9, -12954
Sort -37, 218, 111, 6 in increasing order.
-37, 6, 111, 218
Sort -1, 29, -3, 0, 17, 6.
-3, -1, 0, 6, 17, 29
Sort -2, -4366, 10, -9, -3, 2, -5 in decreasing order.
10, 2, -2, -3, -5, -9, -4366
Sort 0.1, -29, -0.3355 in decreasing order.
0.1, -0.3355, -29
Sort -9, -4, 1, -23858 in ascending order.
-23858, -9, -4, 1
Sort 15, 87, 3, -23, 164.
-23, 3, 15, 87, 164
Sort 57, -4176783, 0, -1 in increasing order.
-4176783, -1, 0, 57
Sort 2/21, -24/7, -8/107, -30.
-30, -24/7, -8/107, 2/21
Sort 6, -145480, -3 in descending order.
6, -3, -145480
Sort 263, 127, -3, -424.
-424, -3, 127, 263
Sort 2/15, -6, -165.9, -34 in descending order.
2/15, -6, -34, -165.9
Sort -597630, 7, 3, -2/3 in descending order.
7, 3, -2/3, -597630
Sort -39, 704, 1, 12, -7, 2 in increasing order.
-39, -7, 1, 2, 12, 704
Put 4, 75, 2, 1, 6, -3 in increasing order.
-3, 1, 2, 4, 6, 75
Sort -83, 2, 1122, 17 in descending order.
1122, 17, 2, -83
Sort 9, 8, -4, 522, -23, -1 in descending order.
522, 9, 8, -1, -4, -23
Sort 8, 3, 14, -207 in decreasing order.
14, 8, 3, -207
Sort -628, 2, -3, 0, -28, -2, 4 in decreasing order.
4, 2, 0, -2, -3, -28, -628
Put 1, -91064, 5, 26, -4 in descending order.
26, 5, 1, -4, -91064
Put -74, 0.44, 0.15765 in descending order.
0.44, 0.15765, -74
Sort 35/6, -1/4, -13.387 in descending order.
35/6, -1/4, -13.387
Sort 1, -20, -93, -24, -5 in descending order.
1, -5, -20, -24, -93
Sort 834, 1, -2, 1095 in increasing order.
-2, 1, 834, 1095
Sort 14, -1081, 80, -4, 2 in increasing order.
-1081, -4, 2, 14, 80
Put -274928, -20, 44 in decreasing order.
44, -20, -274928
Sort -30, -5, -24, 5, 3, -3.
-30, -24, -5, -3, 3, 5
Put 7, -20, -5, 82, -1713 in ascending order.
-1713, -20, -5, 7, 82
Sort -5, -27, -27216 in decreasing order.
-5, -27, -27216
Sort 207, 2/7, 3.5, 55.5 in descending order.
207, 55.5, 3.5, 2/7
Sort 2, 303, 1/8000 in descending order.
303, 2, 1/8000
Sort 2055, 2, -484 in increasing order.
-484, 2, 2055
Sort -69.9, -0.3, 1/4, 2.1, -0.32 in increasing order.
-69.9, -0.32, -0.3, 1/4, 2.1
Sort 6.354, 4/9, 0, -4/211, 2/5 in descending order.
6.354, 4/9, 2/5, 0, -4/211
Sort 17, 4, 12, -5, -121, -2, 2 in ascending order.
-121, -5, -2, 2, 4, 12, 17
Put -77, -25251, 2, -2, 4, -1 in decreasing order.
4, 2, -1, -2, -77, -25251
Sort -2072, -0.5, -1875 in decreasing order.
-0.5, -1875, -2072
Sort 3, 0.07, -57806/9, 4 in ascending order.
-57806/9, 0.07, 3, 4
Put 1, -19, -1249, 10, 4 in descending order.
10, 4, 1, -19, -1249
Sort 0, 5, -3, -62, 12521, -5.
-62, -5, -3, 0, 5, 12521
Put 1, -4, -138, 0, -4237, -5 in increasing order.
-4237, -138, -5, -4, 0, 1
Put 0.2, 10, 0, -54187 in decreasing order.
10, 0.2, 0, -54187
Sort -1, -6, -9, -2, -3646, 0.
-3646, -9, -6, -2, -1, 0
Sort 2/81, 1/120, 0.2489 in decreasing order.
0.2489, 2/81, 1/120
Sort 27, 8, 118, 4, -2, -3 in decreasing order.
118, 27, 8, 4, -2, -3
Sort 4.897, -2/53, -0.2, 14 in descending order.
14, 4.897, -2/53, -0.2
Put -10972, 0.2, 4, 1/2 in increasing order.
-10972, 0.2, 1/2, 4
Put 90, 1232, 217 in decreasing order.
1232, 217, 90
Sort 4/5, 3, -5, 4, 0.171, 19 in descending order.
19, 4, 3, 4/5, 0.171, -5
Sort 1/4, 939.6, 4, -391, 0 in descending order.
939.6, 4, 1/4, 0, -391
Put 17, 8, -5, -9432, 1 in descending order.
17, 8, 1, -5, -9432
Put 7, -0.1, -7, 4557 in decreasing order.
4557, 7, -0.1, -7
Sort -14, 735, 21 in ascending order.
-14, 21, 735
Sort -45417, -1, 8 in increasing order.
-45417, -1, 8
Sort -4, -3/29, 741.2, 2/9.
-4, -3/29, 2/9, 741.2
Sort 83, -0.5, -83, 3/4, 3.7, -1/5 in descending order.
83, 3.7, 3/4, -1/5, -0.5, -83
Sort 34, -8, -4, 4, -77, 9 in ascending order.
-77, -8, -4, 4, 9, 34
Put 2/37, -26, 39, 1, 9.3 in decreasing order.
39, 9.3, 1, 2/37, -26
Sort -4, 31, -38, -22, 9, -5, -1 in ascending order.
-38, -22, -5, -4, -1, 9, 31
Put 0.1, -495, 0, -2, 2, 4, 1/4 in increasing order.
-495, -2, 0, 0.1, 1/4, 2, 4
Sort -153, 1, 81887 in decreasing order.
81887, 1, -153
Sort -3, -5, 4, 14, 8, -2, 126.
-5, -3, -2, 4, 8, 14, 126
Put 2895, 2.9844, 2/3 in decreasing order.
2895, 2.9844, 2/3
Put -211, -3, 3, 1, -0.3, -2/83 in descending order.
3, 1, -2/83, -0.3, -3, -211
Put 2, 30, -20, -452, -3 in descending order.
30, 2, -3, -20, -452
Sort 4, -2, 1, -32, -4, -781, -5.
-781, -32, -5, -4, -2, 1, 4
Sort 2/5, 22.27, -2, -0.9, 80, 1/5 in decreasing order.
80, 22.27, 2/5, 1/5, -0.9, -2
Sort 0, 6, -1.7, -2063, 5.
-2063, -1.7, 0, 5, 6
Sort 9, -3, 18, -8, -2, -1, 94 in descending order.
94, 18, 9, -1, -2, -3, -8
Sort 1937, 5, -3, 24, -2 in descending order.
1937, 24, 5, -2, -3
Put -0.1, -0.0023471, -58/9 in decreasing order.
-0.0023471, -0.1, -58/9
Sort 0.02, -2, 2990, -4 in decreasing order.
2990, 0.02, -2, -4
Put -35, 4, 4737262, -5, -4 in descending order.
4737262, 4, -4, -5, -35
Put -8068162, 2, 0 in increasing order.
-8068162, 0, 2
Sort 4, 4/7, 1, 6, -1.3, -2, 33.
-2, -1.3, 4/7, 1, 4, 6, 33
Put 4, 1, -194278/47, 11 in ascending order.
-194278/47, 1, 4, 11
Sort 4, 0, 5.382, 35.5 in ascending order.
0, 4, 5.382, 35.5
Put 0, -2/21, -130, 2, 49, 1660 in descending order.
1660, 49, 2, 0, -2/21, -130
Put 4280, 1045, 4, 5 in decreasing order.
4280, 1045, 5, 4
Sort 2, 3/176, 5, -144 in increasing order.
-144, 3/176, 2, 5
Sort -0.5, 4, -14648, 2/5, -2/11, 1 in descending order.
4, 1, 2/5, -2/11, -0.5, -14648
Put 1, 369, 2, -2, 457 in increasing order.
-2, 1, 2, 369, 457
Sort -4, -100907, 178 in increasing order.
-100907, -4, 178
Put 0.08713, 0.3, 0.2, -4, 0.4, -6 in decreasing order.
0.4, 0.3, 0.2, 0.08713, -4, -6
Sort 6, -167, 2, -4, -30, -2, 5 in increasing order.
-167, -30, -4, -2, 2, 5, 6
Sort -90, 165, 3, 7
|
{
"pile_set_name": "DM Mathematics"
}
|
value? (a) -5 (b) 1/5 (c) 41 (d) 2/5 (e) 0.5
c
What is the third smallest value in -5, 1/6, 26/15?
26/15
Which is the fourth biggest value? (a) -4 (b) -0.4 (c) 4 (d) -31
d
Which is the third biggest value? (a) 11 (b) 10 (c) 3/5 (d) -5 (e) -1/3
c
Which is the fifth biggest value? (a) -2 (b) -0.5 (c) -1/7 (d) 3 (e) 0.08
a
What is the third smallest value in 4, 2/5, 0, -4, 2.3?
2/5
What is the second smallest value in 0.9, -4, -5, 2/3?
-4
What is the smallest value in -5/3, -2/15, 3, -4?
-4
Which is the smallest value? (a) -0.1 (b) -3/14 (c) 3
b
What is the smallest value in -16, 0, 0.2?
-16
What is the second biggest value in 6/7, 1, 10?
1
What is the third biggest value in -2, -170, -2/11?
-170
Which is the fourth biggest value? (a) -0.4 (b) -5 (c) 3.8 (d) -3 (e) 1/3
d
Which is the third smallest value? (a) 6 (b) 2 (c) -26.5 (d) -3
b
Which is the third biggest value? (a) 5/4 (b) -105 (c) 0.1
b
Which is the biggest value? (a) 3 (b) -1/7 (c) 0.3 (d) 17
d
What is the biggest value in 2, -125, 0.2?
2
What is the second biggest value in -3/5, 2, 0.025, 5?
2
Which is the second biggest value? (a) -1 (b) -5 (c) 4.9 (d) -0.3
d
What is the second smallest value in 4, -0.323, -0.3, -0.5?
-0.323
What is the third smallest value in 8, -3, -16, -0.5?
-0.5
Which is the second biggest value? (a) -3 (b) -3/2 (c) -376 (d) -5
a
Which is the second biggest value? (a) 332 (b) 1 (c) 0.3 (d) -6 (e) -3
b
What is the third biggest value in -0.04, -12, 2?
-12
What is the second biggest value in -3, 1, 1804?
1
What is the second smallest value in 4, -0.74, -0.28?
-0.28
Which is the third biggest value? (a) 5/4 (b) 0.2 (c) 1/9 (d) 41 (e) 3
a
What is the fourth biggest value in -2, -5, 3.29, -2/13?
-5
Which is the third smallest value? (a) 2 (b) 21 (c) 11
b
What is the smallest value in 0.2, 2/191, 2?
2/191
Which is the third smallest value? (a) 1 (b) -3/2 (c) -2/621 (d) 0.3
d
Which is the biggest value? (a) 1/3 (b) 3 (c) -6/19 (d) 45 (e) 5
d
Which is the smallest value? (a) 1 (b) 19 (c) 10/3
a
What is the biggest value in 1/12, 7, 5, -2/129?
7
Which is the third smallest value? (a) -1/2 (b) -2/5 (c) -0.166
c
What is the fourth smallest value in 0, 10/17, -1/4, 1?
1
Which is the third biggest value? (a) -4/7 (b) -9 (c) 32
b
What is the smallest value in 1.279, 2/9, -2/9?
-2/9
What is the second biggest value in 2, -8, 5, -0.5?
2
What is the second smallest value in -1, 0.2, -0.1, 1/13, 4?
-0.1
What is the second biggest value in -2/5, 0.4, -6/11, -0.1?
-0.1
Which is the fourth smallest value? (a) -3 (b) -2 (c) 0.3 (d) -49
c
What is the biggest value in -0.4, 0.2, 18/11?
18/11
Which is the biggest value? (a) 2 (b) -2 (c) 4 (d) 5
d
Which is the third smallest value? (a) -0.3 (b) -17/19 (c) -2/5
a
What is the biggest value in -4, -0.4, 35/4, -3/4?
35/4
Which is the biggest value? (a) 4/5 (b) -1/3 (c) -5/2 (d) 0
a
Which is the biggest value? (a) 25/24 (b) 0.4 (c) -3/2
a
Which is the second biggest value? (a) -302 (b) -5/2 (c) -4 (d) -2/7
b
Which is the third smallest value? (a) -2 (b) 5428 (c) 3
b
Which is the fifth smallest value? (a) 0.03 (b) 1 (c) 3 (d) 0 (e) -4/15
c
What is the third smallest value in -2/3, -4, 0.24, -2/7?
-2/7
What is the smallest value in -0.1, 3, 15?
-0.1
Which is the third smallest value? (a) 3 (b) 0 (c) -40/7 (d) 0.4
d
What is the third smallest value in -3, -1/4, 4, 0.19, 0.5?
0.19
Which is the biggest value? (a) 1/10 (b) 2/49 (c) -2/5 (d) -4
a
Which is the second biggest value? (a) -7/2 (b) 1/8 (c) 283
b
Which is the third smallest value? (a) -6 (b) 5 (c) -0.028
b
What is the third smallest value in -2, -6/37, 5, -1?
-6/37
What is the third biggest value in 3, 5, -35/3?
-35/3
Which is the biggest value? (a) -0.1 (b) 21 (c) -5 (d) 2/5 (e) -4
b
Which is the second biggest value? (a) 15 (b) 2/3 (c) 1/5
b
What is the second biggest value in 0.1, 2/7, 13?
2/7
Which is the biggest value? (a) -2/3 (b) 0.4 (c) -2/13 (d) 1/6 (e) 3
e
Which is the biggest value? (a) 4 (b) 0 (c) 6 (d) 3
c
What is the fifth smallest value in 5, 0.5, -6, -3, 7?
7
Which is the second biggest value? (a) -16 (b) 5 (c) 4 (d) 0.5
c
Which is the second smallest value? (a) 0.5 (b) 2 (c) 0.179
a
Which is the fourth smallest value? (a) 2/3 (b) 8/7 (c) -1/2 (d) -5 (e) -2/9
a
What is the fourth smallest value in -1/5, -4, -1/17, 3, 2/67?
2/67
Which is the fourth smallest value? (a) 2/9 (b) 0.07 (c) -5 (d) -3/2
a
What is the smallest value in -4/3, -19, -0.5?
-19
What is the second biggest value in 0.1, 4, -911?
0.1
What is the fourth biggest value in 0.12, -2, 2, -0.4?
-2
Which is the fourth smallest value? (a) 3/2 (b) -0.5 (c) -2 (d) -5 (e) 0.069
e
Which is the third biggest value? (a) 2/15 (b) 1/7 (c) 1/2 (d) 3
b
What is the third biggest value in -43, -4, 1/2, -2/13?
-4
Which is the biggest value? (a) 1.2 (b) 1/2 (c) -2 (d) 0.1
a
What is the fourth smallest value in 10, 6/101, 1/8, 0, 4?
4
Which is the third smallest value? (a) 0.3496 (b) -3 (c) 2
c
Which is the second smallest value? (a) 0.4 (b) 2/3 (c) -8 (d) -2/19 (e) 2/7
d
Which is the second smallest value? (a) 5 (b) 0.1 (c) -0.3 (d) -4 (e) 0
c
What is the second biggest value in -10, -2, -3/19?
-2
What is the third biggest value in 1/7, -1, -0.192?
-1
What is the biggest value in -1/4, 5, -65, -1?
5
Which is the third biggest value? (a) 5 (b) -2/7 (c) 3 (d) 5/6
d
Which is the smallest value? (a) -3 (b) 2 (c) 0.9 (d) -1/8
a
What is the smallest value in 5/3, 6/5, 6, 5, 1/5?
1/5
What is the second smallest value in 4, -2, 3, -26?
-2
Which is the smallest value? (a) -1 (b) -211 (c) 5/4
b
What is the biggest value in 401, 2/3, -6/7?
401
Which is the fourth biggest value? (a) -29/6 (b) 3 (c) 0.02 (d) -6
d
What is the fourth biggest value in 2/9, 1.3, 0.1, 1.4?
0.1
Which is the third smallest value? (a) -0.3 (b) 1/8 (c) 310
c
What is the second biggest value in -62, 0.2, 0.28?
0.2
Which is the fourth smallest value? (a) -2 (b) 1 (c) -2/21 (d) 1/11 (e) -4
d
What is the second smallest value in 0, -3, -3/14, 4, -2/7?
-2/7
What is the fourth smallest value in 85, 3, 1, -4, 2/13?
3
Which is the third biggest value? (a) -0.8 (b) -1 (c) 4
b
Which is the fourth smallest value? (a) -5 (b) -1 (c) 1/5079 (d) 3
d
Which is the biggest value? (a) 0.4 (b) 0.2 (c) -85/2 (d) -1
a
What is the second biggest value in -3, 2, 0.3, -4, 1/44?
0.3
Which is the second biggest value? (a) 49 (b) 7 (c) -1 (d) -3
b
What is the second smallest value in 5, 3, -8/3, -2, -0.07?
-2
What is the third smallest value in 11, -1.9, 1/5?
11
What is the second biggest value in 1/261, 0.3, 3?
0.3
Which is the smallest value? (a) -5 (b) 2/3 (c) 22 (d) -1/2
a
Which is the third biggest value? (a) 2 (b) 79 (c) 5
a
Which is the smallest value? (a) 3 (b) -11/2 (c) 0.6 (d) 1
b
Which is the second smallest value? (a) 14 (b) -3/8 (c) -17/4
b
What is the smallest value in 0.5, -5/44, 36?
-5/44
What is the biggest value in -0.21, -16, 2/5, -4?
2/5
What is the second smallest value in -3, 1, -1, 3, 8/9?
-1
What is the second biggest value in -0.02, 2, 1.8?
1.8
Which is the third smallest value? (a) 2 (b) -0.6 (c) -1/5
a
Which is the biggest value? (a) -3 (b) -0.1 (c) 0.5 (d) -191
c
Which is the smallest value? (a) -1 (b) 3/2 (c) 43 (d) 3
a
What is the biggest value in -4.3, 4, -3/7?
4
What is the third biggest value in 4, -2, -1/3, 2/19?
-1/3
What is the biggest value in -3/4, -36.8, 1/3?
1/3
Which is the third smallest value? (a) -2/25 (b) -0.2 (c) 2/5 (d) -5
a
What is the second biggest value in 0.03, 5, -5, 1/170?
0.03
What is the smallest value in 0, 2/3, -3, -1, 1/5?
-3
Which is the second biggest value? (a) -24/7 (b) -4 (c) 4
a
What is the fourth biggest value in -2, -0.1, -2/17, 0.3, -0.4?
-0.4
Which is the second biggest value? (a) 18 (b) 3 (c) -1/7 (d) -12
b
Which is the third smallest value? (a) -37 (b) -2/17 (c) -1/6 (d) -3/4
c
What is the third smallest value in 2, -7, 2/87?
2
Which is the third smallest value? (a) 3/5 (b) 3 (c) -32.1
b
Which is the third biggest value? (a) -10/9 (b) -8 (c) -2
b
Which is the se
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2 = -26. Calculate the remainder when u(3) is divided by q.
10
Suppose l + 9 = 5*p - 22, -4*l - 5*p = 74. Calculate the remainder when ((-36)/l)/(2/14) is divided by 7.
5
Suppose -9*x - 39 = -12*x. What is the remainder when 30 is divided by x?
4
Let g = 2 + 40. What is the remainder when 163 is divided by g?
37
Let f(n) = -2*n + 18. Calculate the remainder when 131 is divided by f(-8).
29
Let u be -44 - (-2 + -2 + 2). Let b = -17 - u. Calculate the remainder when 97 is divided by b.
22
Suppose 0 = 5*h - 2*w - 85, 3*w + 41 = 3*h - 1. What is the remainder when h is divided by 5?
4
Suppose -o + 0*o = -47. What is the remainder when o is divided by 25?
22
Let d(j) = j + 8. Let h be d(-9). Let c be 3/((-3)/7) + h. Let k = -6 - c. Calculate the remainder when 2 is divided by k.
0
Calculate the remainder when 42 + (-10)/(2 - 7) is divided by 12.
8
Let v(k) = -k**2 + 10*k + 1. What is the remainder when 2 is divided by v(10)?
0
Suppose -5*t - 2 = p - 18, 2*t = -4*p + 10. Let v = 6 - t. Suppose -v*q + x + 121 = -0*x, 5*x - 35 = -q. Calculate the remainder when q is divided by 14.
12
Let c(o) be the first derivative of -3 + 13*o + 9/2*o**2 - 1/3*o**3. What is the remainder when c(9) is divided by 5?
3
Let w(h) = -h**3 + 4*h - 1. Let j be w(-2). Let d = 7 + j. Calculate the remainder when d is divided by 5.
1
Let d = 23 + 21. Suppose 4*h + 18 = 2*a, 5*a + 2*h - 83 = -38. Calculate the remainder when d is divided by a.
8
Let g = -2 + 1. Suppose 0 = 3*p - 8*p. What is the remainder when (p/g + 13)/1 is divided by 7?
6
Let o(s) be the third derivative of 0 - 1/4*s**4 - 1/60*s**5 + 1/2*s**3 + 0*s - 2*s**2. Calculate the remainder when 15 is divided by o(-5).
7
Let t(u) = -29*u - 5. Let a be t(-5). Suppose 2*h + a = 4*h. Calculate the remainder when h is divided by 24.
22
Suppose -23 = -3*t + 4. Suppose -2*k - 1 = w, -w - 5*k = 2*w. Calculate the remainder when t is divided by w.
4
Let p(d) = 5*d + 2. Let v be p(-5). Let n = -10 - v. Calculate the remainder when 23 is divided by n.
10
Suppose 8*d - 1 - 39 = 0. Calculate the remainder when 20 is divided by d.
0
Suppose 0*x + 3*x - 57 = 0. Suppose -3*h + 85 = 55. What is the remainder when x is divided by h?
9
Suppose -2*w + a + 124 + 24 = 0, 3*w = a + 224. Calculate the remainder when w is divided by 11.
10
Suppose 0 = z + 3*z - 60. Let j = -22 + z. Let d(w) = -w**3 - 6*w**2 + 5*w - 1. Calculate the remainder when d(j) is divided by 8.
5
Suppose -4*c + 52 = -5*d, -4*c - 5*d = -3*c - 13. Calculate the remainder when 23 is divided by c.
10
Suppose 5*x + 1 - 6 = 0. Calculate the remainder when 16 is divided by (x - (-14)/(-5))*-5.
7
Let t be (-3)/(-5) + 15/(-25). Suppose -m - m + 24 = t. What is the remainder when m is divided by 7?
5
Let p be 2/3 - 6/(-18). Let u = p + 1. What is the remainder when 7 is divided by u?
1
Suppose 0 = 5*g - 10, 2*g = 2*w + 3*w - 51. What is the remainder when 19 is divided by w?
8
Calculate the remainder when 0 + -3 + 8 + -1 + 106 is divided by 19.
15
Let g = -11 + 21. Suppose 0 = 5*k - 0 - g. Calculate the remainder when (-1*k)/(-1) + 15 is divided by 9.
8
Let i = -13 + 27. Calculate the remainder when 67 is divided by i.
11
Let b(o) = 2*o + 6. Let f be b(-5). What is the remainder when 16/((-2)/(f/4)) is divided by 5?
3
Let c(b) = -b**2 + 5*b - 2. Let i be c(5). Let a be 0/(-2 + 4) - -1. What is the remainder when 8 is divided by a/(((-4)/10)/i)?
3
Suppose -3*u + d = -4*d - 254, 0 = -4*u + 3*d + 335. What is the remainder when u is divided by 28?
27
Suppose 0 = 3*p + 2*p - 165. Suppose 57 = 6*q - 45. What is the remainder when p is divided by q?
16
Let g(u) be the third derivative of -u**6/120 + 11*u**3/6 - u**2. What is the remainder when 30 is divided by g(0)?
8
Suppose 4*s + 9*s - 312 = 0. Calculate the remainder when 67 is divided by s.
19
Let m = 1 + 3. Let v(l) = l**3 - 5*l**2 - 10*l + 2. Calculate the remainder when v(7) is divided by (-8)/(0 - 2/m).
14
Let y(g) = -3*g. Let b be y(-6). Let s = b + -30. Calculate the remainder when (-4)/(s/45) + 2 is divided by 6.
5
Suppose 3*w - 8 = 2*l + 7, -2*l - 3*w + 15 = 0. Suppose -u - 4*u + 20 = l. What is the remainder when (5*-3)/(3/(-2)) is divided by u?
2
Let l(g) = -18*g - 1. Calculate the remainder when l(-5) is divided by 2/(-7) + (-1272)/(-42).
29
Suppose -2*k = q - 14, 1 = 3*k - 3*q - 38. Calculate the remainder when 98 is divided by k.
8
Let c(d) = -9*d**2 - d + 1. Let v be c(1). What is the remainder when 147/9 + 4/6 is divided by (v/5)/(3/(-10))?
5
Let k = -528 + 563. What is the remainder when k is divided by (-2)/(1/12*-2)?
11
Let x(y) = y - 1. Let k be x(7). Let q = -4 + k. Calculate the remainder when ((-56)/(-12))/(q/6) is divided by 5.
4
Suppose -10 = -2*q - 3*w, 2*q - 3*q - 3*w + 5 = 0. Suppose 156 - 26 = q*m. Let a = m - 11. What is the remainder when 43 is divided by a?
13
Let g(s) = 6*s - 1. Let t(a) = -a**2 - 2*a + 6. Let q be t(-6). Let y = 3 - q. Calculate the remainder when y is divided by g(2).
10
Suppose 53 = -3*v + 140. Calculate the remainder when v is divided by 11.
7
Let s(n) = -n**3 + n**2 - n + 12. What is the remainder when 0 + 2 + (22 - 1) is divided by s(0)?
11
Let t be (-2)/((-6)/(-27)*-3). Suppose 0 = -4*k - t*q + 36, -1 = -4*k + 5*q + 3. What is the remainder when 6/(-4)*(-32)/3 is divided by k?
4
Let k = 17 + -4. Suppose 0 = -4*c + 35 + 1. What is the remainder when ((-3)/c)/((-2)/222) is divided by k?
11
Let p(i) = -i - 14. What is the remainder when 56 is divided by p(-26)?
8
Suppose u = 6*u + 5. What is the remainder when (-51)/(-18) - u/6 is divided by 2?
1
Suppose 2 = -5*y + 4*o + 108, -3*y + 69 = 3*o. Suppose 0 = g - 0*g - 85. What is the remainder when g is divided by y?
19
Let t(o) = -9*o - 4. What is the remainder when t(-3) is divided by 6?
5
Let v(f) = 3*f - 35. What is the remainder when 48 is divided by v(15)?
8
Calculate the remainder when 67 is divided by 1*2 - (-4 + -11).
16
Let u = 4 - -31. Calculate the remainder when u is divided by 12.
11
Let g(y) = -45*y + 0 + 44*y + 12. What is the remainder when g(0) is divided by 4?
0
Let h = 534 + -532. Suppose 3*d - 2*d = 2. Calculate the remainder when d is divided by h.
0
Suppose 6 = 3*v + 9, -5*v - 23 = -2*p. Calculate the remainder when 52 is divided by p.
7
Suppose 0 = 2*z - 4*z + 36. Let y = -38 + z. Let x = y - -33. Calculate the remainder when x is divided by 5.
3
Let l be (3*-1)/((-15)/10). Suppose -18 = -4*u - l. What is the remainder when u is divided by 2?
0
Suppose 0 = 4*m + 16, -2*m = -3*y - 0*m + 65. What is the remainder when 93 is divided by y?
17
Suppose 32 = 2*u - 76. Suppose 4*r - u = 166. What is the remainder when r is divided by 15?
10
Let x(m) = 2*m**3 - 3*m + 2. Let n = 11 - 4. What is the remainder when x(2) is divided by n?
5
Let g(r) = -3*r + 4. Let x(i) = -i**2 - 4*i**3 + 1 + i + 3 - 5. What is the remainder when x(-2) is divided by g(-3)?
12
Suppose 0*l + 13 = l. Let p = -5 + l. What is the remainder when -4*((-78)/p + 2) is divided by 17?
14
Let y = 7 + -4. Suppose 0 = 3*o - 13 + 4. Calculate the remainder when o is divided by (-1 - 8/(-6))*y.
0
Let n be ((-8)/14)/((-2)/14). Suppose n*t = 4*r - 46 - 6, -4*r + 55 = -5*t. Calculate the remainder when 39 is divided by r.
9
Suppose 5*z + 2*d - 55 = -3*d, z = -4*d - 4. Calculate the remainder when 39 is divided by z.
7
Suppose 0 = 2*s + 3*s - 40. Let m = 2 + s. What is the remainder when m is divided by 6?
4
Let t = 4 - 2. Let z(f) = 20*f - 1. Let y be z(t). Suppose -4*r + 121 = -y. Calculate the remainder when r is divided by 21.
19
Let k = 2 + -1. Calculate the remainder when k is divided by 1.
0
Suppose 41 = 5*u - 34. What is the remainder when u is divided by 9?
6
Let m = -5 - -7. Calculate the remainder when ((-1)/(-1))/(-1) + 7 is divided by 0 - m - (-5 + -1).
2
Let b = 193 + -178. What is the remainder when 237 is divided by b?
12
Suppose -29 = -2*c + 21. What is the remainder when c is divided by 7?
4
Let n be 0 + (13 - 12/4). Suppose -4*s - n = -90. What is the remainder when 79 is divided by s?
19
Let p = -10 + 15. Suppose 2*i - 5*t = 26, 50 = p*i - 3*t - 2*t. Let b = 11 - i. What is the remainder when 7 is divided by b?
1
Let k be (3/2)/((-3)/196). Calculate the remainder when k*(-1)/2*1 is divided by 17.
15
Let y be 6/4*52/3. Let x = y +
|
{
"pile_set_name": "DM Mathematics"
}
|
-6/7, 0.5, 2, 5?
-1
What is the nearest to 2 in 0.1, -15, 1, -0.3, 0.079?
1
Which is the closest to -0.3? (a) -4 (b) 1 (c) 85
b
What is the nearest to 2 in 3/118, -4/9, 0.3, -0.3?
0.3
What is the closest to 43 in 1/7, 7, -24?
7
What is the nearest to -2/3 in 32363, 1, -5, 5, 2?
1
What is the nearest to -3 in -5, -0.1, -4385, 1/6?
-5
Which is the closest to 1? (a) 0.054 (b) 1/6 (c) 10
b
What is the nearest to 0.1 in -23, -33, -3/16?
-3/16
What is the closest to 1 in 37, 3/4, 67, 4, 1/2?
3/4
Which is the closest to -27? (a) 0.2 (b) 1/8 (c) 1.2 (d) -2/17 (e) 0.4
d
What is the closest to 9 in 2/3, 2/11, 34/35?
34/35
What is the nearest to -2/3 in 1068, 0.5, -2, 1, -0.1?
-0.1
Which is the closest to -2/11? (a) -36/61 (b) 2 (c) -0.16 (d) -5 (e) 2/13
c
What is the nearest to 34 in -6, -1.11, 0.1?
0.1
What is the nearest to -1 in -1/5, 0.2, 34, 0.3?
-1/5
What is the nearest to -135 in 0.06, 0, 3, 2/33?
0
What is the closest to 2/5 in 1/5, -2/17, -0.4, -5154?
1/5
What is the nearest to -0.1 in -1/3, -0.0736, -0.3, 5?
-0.0736
Which is the nearest to 0.21? (a) -0.3 (b) -119 (c) -4
a
What is the closest to 14 in 0.4, 0.048, 4?
4
Which is the closest to 0.11? (a) 43 (b) 2 (c) 17 (d) -2/19
d
What is the nearest to 101/5 in 1, -1/9, -0.5, -1?
1
Which is the nearest to 0.1? (a) -0.254 (b) 0 (c) 1/4 (d) 0.4
b
What is the closest to 1 in -0.5, 0.3, -0.2, 8, -0.2174?
0.3
What is the closest to 0 in 2.59, -31/2, 0.1, -3?
0.1
What is the nearest to 0 in -0.02, -2, 1, 0?
0
What is the closest to 0.4 in -0.03, -1/4, 0.2, -0.4, 0?
0.2
Which is the nearest to 1? (a) 1/5 (b) 7/2 (c) -1011 (d) 2/5 (e) 3
d
What is the nearest to 1/18 in 2/3, 59, 5?
2/3
Which is the nearest to 1/3? (a) -1/4 (b) 24.7 (c) 0.1 (d) -4
c
What is the closest to -0.2 in 0.03, -0.36, -3/5, 3, -0.083?
-0.083
What is the closest to -4/3 in -0.1, 0.01, 2, 3?
-0.1
Which is the closest to 0? (a) -17.5 (b) -3/8 (c) 121
b
What is the closest to 0.38 in -2/5, -4, 231, -29, -0.1?
-0.1
What is the closest to 1 in 8, -1/4, 5, -194, 0.2?
0.2
Which is the nearest to -2/3? (a) -2/13 (b) -2/5 (c) -5165 (d) -0.5
d
What is the nearest to 0 in -0.1, 23/4, 5, 0.3, -0.31?
-0.1
Which is the closest to -5? (a) -2 (b) 3/8 (c) 0.25
a
What is the nearest to -2 in -3/10, -1/2, -4?
-1/2
Which is the nearest to 0.1? (a) 19 (b) -1/2 (c) 6 (d) -2 (e) 69/7
b
What is the closest to -11 in 0.057, 0.4, -0.4, 0.022?
-0.4
Which is the closest to 1? (a) 4 (b) 4/11 (c) -13/4 (d) -5
b
What is the closest to -2 in 5, -228, 1/5, -14/9?
-14/9
Which is the nearest to 1365? (a) 0.4 (b) -0.49 (c) -4 (d) 3/5 (e) -0.3
d
Which is the closest to 1? (a) -1/9 (b) -7182 (c) -4
a
Which is the closest to 23? (a) -1/196 (b) 6 (c) -0.5
b
Which is the nearest to 4? (a) -0.01856 (b) -2/15 (c) -1 (d) -3
a
Which is the nearest to 22? (a) 4 (b) 0.4 (c) 1 (d) 2/83 (e) 0.12
a
Which is the closest to -2/11? (a) -4 (b) 4 (c) 6/11 (d) 231 (e) 0.3
e
Which is the closest to 2/11? (a) -0.2 (b) 0.05 (c) -5 (d) -1/6 (e) -11
b
Which is the closest to -2/5? (a) -0.7 (b) 0.24 (c) 6 (d) 0.05 (e) 0.2
a
What is the closest to 1 in -1/2, -109, -5/11?
-5/11
Which is the closest to 2? (a) -3 (b) 9/8 (c) -39 (d) -0.1 (e) -5/3
b
Which is the closest to 46? (a) 3 (b) -58 (c) -1/6 (d) -0.3 (e) -5
a
What is the closest to -2/11 in 10, 0.1, 0.27?
0.1
What is the closest to -622 in 8, 3, 4, -7?
-7
Which is the closest to -4233? (a) 0.5 (b) -0.2 (c) 2
b
Which is the nearest to -3? (a) 57 (b) -1 (c) -1.3 (d) 1/9
c
Which is the closest to -0.198? (a) -2/5 (b) -2/3 (c) -16 (d) 2/7 (e) 2/3
a
What is the closest to 5/6 in 2, -13/5, 8/7?
8/7
Which is the nearest to 2508.8? (a) -3/7 (b) -5 (c) -2
a
Which is the nearest to -18? (a) 0.3 (b) -1526 (c) 1/5 (d) -0.3
d
Which is the nearest to -5? (a) -2/11 (b) 3 (c) -0.3 (d) -26
c
Which is the nearest to -34? (a) 1 (b) 1.5 (c) 344
a
What is the nearest to 0.2 in 3/7, 0, -2/3, -0.02, -119/4?
0
Which is the nearest to 5/8? (a) -2 (b) 6 (c) -2/11 (d) 11 (e) 1
e
What is the nearest to 435 in -0.09, 1, 0.2?
1
Which is the closest to -0.5? (a) -9 (b) -0.05 (c) -2.1
b
Which is the nearest to -16? (a) -1 (b) -1/370 (c) 0.5
a
Which is the closest to -0.1? (a) -36119 (b) -0.3 (c) -10/3
b
Which is the closest to 1? (a) 19 (b) -2 (c) -1 (d) -2/7 (e) 1
e
Which is the closest to 2? (a) -77 (b) 2/13 (c) 0.03
b
What is the nearest to -5 in -1/2, -12, 1/3, 9, -0.05?
-1/2
Which is the nearest to -1? (a) 1/4 (b) 0.2 (c) -123.8 (d) -1/4 (e) -5
d
Which is the closest to -1? (a) 9 (b) -28/17 (c) -3/2
c
Which is the nearest to -4/5? (a) -2/9 (b) -1 (c) -0.089 (d) 0.1
b
What is the nearest to 5 in -5, 4/49, 2, 1, -2?
2
What is the nearest to 2/13 in 1/5, -4, 2, -3?
1/5
What is the nearest to -3 in 0.2, 1.6, -67, -1/12?
-1/12
What is the nearest to 1 in -10, 177, -4, -0.5, 5?
-0.5
What is the nearest to -1/4 in 31, -0.12, 3, -10?
-0.12
Which is the closest to -0.1? (a) -4720 (b) 2 (c) -1/8 (d) -2
c
What is the closest to 5 in 0.3, -1, -3, -17, -1/3?
0.3
What is the closest to 2/7 in 0.65, -0.38, -1, -9?
0.65
What is the nearest to -0.1 in -51, -147, 0?
0
What is the nearest to -3/5 in 15/83, -0.07, 2/5, 3?
-0.07
What is the closest to 0.6 in -2/9, 1/180, 5, 0.2?
0.2
What is the closest to 2 in -5, 5, -173?
5
What is the nearest to 26/47 in -10/9, -2/15, -1, 1?
1
What is the closest to -8/5 in 299, 5, -0.5, 3/4?
-0.5
What is the nearest to 8 in 0, -3125, 1, 0.7?
1
Which is the nearest to 5? (a) 0 (b) 15 (c) 0.14 (d) -1 (e) -1/5
c
What is the closest to -1/4 in -3, 2/9, 2, 32/11?
2/9
What is the nearest to 1/2 in -16, 1, 2/13, 5?
2/13
Which is the nearest to 48? (a) 3 (b) 0 (c) 5 (d) 24
d
Which is the closest to 0.4? (a) 87 (b) -4/3 (c) -9 (d) -3 (e) -2
b
What is the closest to 182 in 11, -0.2, -0.5, 2/5?
11
What is the nearest to -11/5 in 3, -1, -28/3?
-1
Which is the closest to -1? (a) -212 (b) 5 (c) 0.4
c
What is the closest to -2 in 11288, -5, 0.3, 0.5, 2?
0.3
Which is the closest to -1/4? (a) -0.22 (b) -5 (c) -0.303
a
Which is the closest to 1/2? (a) -2/9 (b) 1/2 (c) 1 (d) -0.4 (e) -2/131
b
Which is the nearest to 0.1? (a) -9/4 (b) 0.2 (c) -2/12945 (d) 0.4
b
Which is the closest to 0.05? (a) 7 (b) 0.6 (c) -1/44
c
What is the nearest to 0 in 1/18, 11/9, 1, 0.063, -0.3?
1/18
Which is the nearest to 321? (a) 0.2 (b) -0.2 (c) -0.5 (d) -2/9
a
What is the nearest to -270 in 3/2, 4, 0.2?
0.2
Which is the nearest to -1/4? (a) 0.1 (b) 1 (c) -14.3 (d) -5.4 (e) -2
a
Which is the closest to 2/7? (a) 5 (b) 0.2 (c) 1/2 (d) -212/7 (e) -5
b
Which is the closest to -0.2? (a) -31 (b) -28 (c) -6/13 (d) -0.2
d
Which is the closest to 0? (a) -5 (b) -0.0187 (c) 0 (d) -1/6 (e) -0.14
c
What is the closest to -3 in 2/11, -2/3, 3/5, -0.3, 58/113?
-2/3
What is the nearest to -0.1 in -1, -13/3, -7, 1/6, -3?
1/6
Which is the closest to 0? (a) 256 (b) 1/176 (c) -2/3 (d) -6/5
b
Which is the closest to -3? (a) 0.13 (b) -68 (c) 0.4 (d) -2
d
What is the nearest to 0 in 1.687, 4, 1/3?
1/3
What is the nearest to -1/131 in -4/5, 2, 0, 2/87?
0
Which is the closest to 399? (a) 1 (b) -1 (c) -3/4 (d) -0.2
a
Which is the closest to -10? (a) -0.4 (b) -13 (c) -1/5 (d) 3 (e) -4
b
What is the closest to 0.11 in 0.3, 5, -2, 2/675?
2/675
Which is the closest to 1/9? (a) -15 (b) 0.3 (c) 1 (d) 0.6
b
What is the closest to -3/7 in 53, 1, -1?
-1
What is the closest to 15.1 in 3, -0.4, 1641?
3
What is the closest to -1 in -0.2, 51, -35/136?
-35/136
Which is the nearest to 108? (a) 3 (b) 5 (c) 0.4 (d) 1/836
b
Which is the closest to 1? (a) 1.5 (b) 1/3 (c) -1 (d) -3/11
a
Which is the nearest to -349? (a) -5.4 (b) -2 (c) -17
c
What is the closest to 2/3 in -110/7, 3, 0.093?
0.093
Which is the nearest to 8? (a) -0.7 (b) -3 (c) -1/10 (d) 2 (e) -6
d
Which is the closest to 4? (a) 5 (b) 2 (c) -0.049
a
What is the nearest to 1 in -3, 15, 49, -11?
-3
Which is the nearest to -1/4? (a) 0.14 (b) -3 (c) -9 (d) 3/8
a
What is the closest to -2.87 in 0.3, 31/3, 0, 0.5, 28?
0
What is the nearest to 0.7 in -0.2, 4, 26?
-0.2
Which is the closest to -74? (a) 0 (b) 1.04 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
*b**2
Collect the terms in -16076*r**2 - 4024*r**2 - 7834*r**2 - 2631*r**2 - 4521*r**2.
-35086*r**2
Collect the terms in -54522*k + 27156*k + 27366*k - 186*k**2.
-186*k**2
Collect the terms in -1476 + 768*l**2 - 768*l**2 + 1474 - 276*l**3.
-276*l**3 - 2
Collect the terms in 33689 + 33716 + 33684 + 5*b**2 - 101089 - 3*b**2.
2*b**2
Collect the terms in 27*f**2 + 24*f**2 + 7*f**2 + 15*f**2 - 37*f**2 - 62*f**2.
-26*f**2
Collect the terms in 2*p - 4*p**2 + 5*p**2 + 4*p**2 + 190 - 3*p**2 - 53.
2*p**2 + 2*p + 137
Collect the terms in 11213*a**2 - 3 + 12474*a**2 - 6301*a**2 + 3.
17386*a**2
Collect the terms in -11 - 12 + 23 - 99*s - 37*s.
-136*s
Collect the terms in -29 - 3*x**3 + 116*x**2 - 268*x + 12 + 17.
-3*x**3 + 116*x**2 - 268*x
Collect the terms in -270*p - 374282 - 3053*p + 374282.
-3323*p
Collect the terms in 74221 - 37105 - 23*f - 37114.
-23*f + 2
Collect the terms in 17043*x + 30513*x + 203786*x.
251342*x
Collect the terms in -30711*p - 32362*p + 57433*p.
-5640*p
Collect the terms in -2567*n - 2571*n - 2572*n - 2540*n + 10293*n.
43*n
Collect the terms in 184*f - 243 - 222*f + 15 + 41*f.
3*f - 228
Collect the terms in -7623*k - 76331*k - 143601*k.
-227555*k
Collect the terms in 3*v + 5*v - 6*v - 9454*v**2 - 9655*v**2.
-19109*v**2 + 2*v
Collect the terms in 85044*h**2 - 21266*h**2 - 21262*h**2 - 21259*h**2 - 21259*h**2.
-2*h**2
Collect the terms in -36*j**2 + 100 + 94 - 120 - 74.
-36*j**2
Collect the terms in 76273*u**2 + 693 - 693 - 76274*u**2 + 773*u.
-u**2 + 773*u
Collect the terms in -3452765 - 2*t - 3452790 + 10358320 - 3452765 + 4*t.
2*t
Collect the terms in -45*l - 152*l - 35*l**3 + 82*l**3 - 51*l**3.
-4*l**3 - 197*l
Collect the terms in -210174 + 420364 - 210190 + 24*l**2.
24*l**2
Collect the terms in 187 - 552 + 125 + 120 + 120 - 2*i.
-2*i
Collect the terms in -109*y + 109*y + 2637 + 2*y**2 - 1332 - 1292.
2*y**2 + 13
Collect the terms in l**3 + 284*l**3 - 12 - 133*l**3 - 118*l**3.
34*l**3 - 12
Collect the terms in -77433*l + 89793*l - 12386*l.
-26*l
Collect the terms in 64 - 142*l**2 - 64 + 5*l + 16*l**2 - 90*l**2.
-216*l**2 + 5*l
Collect the terms in -3520 - 4*y + 45*y**2 - 7*y - 12*y + 3520.
45*y**2 - 23*y
Collect the terms in 14200*i - 6171*i + 13049*i - 198*i.
20880*i
Collect the terms in 4 + 920*r + 1218*r - 2151*r - 1.
-13*r + 3
Collect the terms in -9814*c - 11517*c - 377*c.
-21708*c
Collect the terms in 508893*a + 772500*a + 23228*a.
1304621*a
Collect the terms in 2 - 6 - 36753*r + 4.
-36753*r
Collect the terms in -55 - 341*s + 84*s + 105*s + 73*s + 78*s.
-s - 55
Collect the terms in -17 - 162*r**2 + 6*r**2 - 28*r**2 + 8 + 0.
-184*r**2 - 9
Collect the terms in -1531 + 1531 + 50151*d.
50151*d
Collect the terms in -3*v - 2*v**2 + 697 + 14*v + 324 - 5.
-2*v**2 + 11*v + 1016
Collect the terms in 4131*q**2 - 2394*q**2 - 2196*q**2.
-459*q**2
Collect the terms in 4 - 1 - 5 + 2 - 8838833086*p**3 + 8838833108*p**3.
22*p**3
Collect the terms in -321*m**2 - 266 + 8*m - 182 - 123 + 119 + 320*m**2.
-m**2 + 8*m - 452
Collect the terms in -474 + 13*q + 954 - 498.
13*q - 18
Collect the terms in -276*j**2 - 129*j**2 - 280*j**2 - 228*j**2 - 374*j**2.
-1287*j**2
Collect the terms in 754738*d**3 - 754737*d**3 - 50*d**2 + 187*d**2.
d**3 + 137*d**2
Collect the terms in -246925 + 477178 + 459104 - x**2.
-x**2 + 689357
Collect the terms in 97329*u + 128621*u + 63007*u.
288957*u
Collect the terms in -9*z + 40 + 3 + 2 + 5*z - 49 + 4.
-4*z
Collect the terms in 918*t**2 + 1265*t**3 - 68 + 68 - 918*t**2.
1265*t**3
Collect the terms in -21695603 + 2*d**3 - 4*d**3 + 21695598.
-2*d**3 - 5
Collect the terms in 13 + 109277*v**2 + 4 - 2*v - 109291*v**2.
-14*v**2 - 2*v + 17
Collect the terms in -242 - 1186*l + 835*l + 353*l.
2*l - 242
Collect the terms in -3632*f - 5866*f - 286*f.
-9784*f
Collect the terms in 207353008*c**3 + 207352978*c**3 - 414705994*c**3.
-8*c**3
Collect the terms in 2563011 - 2*j + 3*j - 627584.
j + 1935427
Collect the terms in 3 - 85*j - 3 - 5686*j**2 + 2912*j**2 + 2817*j**2 + 85*j.
43*j**2
Collect the terms in 199*z - 313*z + 2720*z.
2606*z
Collect the terms in -2 + 2 + 2*b**3 - 157*b**3 - 581*b**3 + 135*b**3.
-601*b**3
Collect the terms in -50493*z**2 + 15*z + 50494*z**2 - 122*z.
z**2 - 107*z
Collect the terms in -158568*n + 79309*n + 79322*n.
63*n
Collect the terms in -383 - 15*h**2 - 265 - 3*h**3 + 648.
-3*h**3 - 15*h**2
Collect the terms in 18703 + 18709 + 18855 - 56267 + 23*u.
23*u
Collect the terms in 75*p**2 - 17288481 + 17288481.
75*p**2
Collect the terms in 22*z**3 + 108*z**2 - 309*z**2 + 100*z**2 + 101*z**2 - 3*z.
22*z**3 - 3*z
Collect the terms in 0 + 15052520*p**2 + 0 + 0*p + 0*p - 15052477*p**2.
43*p**2
Collect the terms in -3 + 3 + 3577*s**2 - 2874*s**2 + 6475*s**2.
7178*s**2
Collect the terms in 2*j + 68*j**2 + 10*j - 120*j**2 - 15*j.
-52*j**2 - 3*j
Collect the terms in -85*u - 235*u - 40 + 18 - 75.
-320*u - 97
Collect the terms in -87081*i + 43607*i + 43766*i.
292*i
Collect the terms in -1323088*a + 2646830*a - 1323767*a.
-25*a
Collect the terms in 1507*s**2 + 2515*s**2 - 4909*s**2 + 1520*s**2.
633*s**2
Collect the terms in 3821*u**2 + 17464*u**2 + 25035*u**2.
46320*u**2
Collect the terms in 31*y - 65*y - 850*y**2 + 23*y.
-850*y**2 - 11*y
Collect the terms in 21*p**2 - 91762*p**3 + 91775*p**3 - 22*p**2.
13*p**3 - p**2
Collect the terms in -4510*j**3 + 3246*j**3 + 3520*j**3 + 5326*j**3 + 3781*j**3.
11363*j**3
Collect the terms in 2 - 24 + 8 + 135*f**2 - 131*f**2.
4*f**2 - 14
Collect the terms in 18*p - 468 - 448 - 465 + 1843 - 462.
18*p
Collect the terms in 9758*w**2 - 12052*w**2 - 6 + 1 + 5.
-2294*w**2
Collect the terms in 1998*w**2 + 443*w - 1 - 441*w + 3428*w**2.
5426*w**2 + 2*w - 1
Collect the terms in -3*d**3 + 2617895 - 5235761 + 2617866.
-3*d**3
Collect the terms in 14554622839*x - 7277311490*x - 7277311350*x.
-x
Collect the terms in -374038*p**2 - 374077*p**2 + 748103*p**2.
-12*p**2
Collect the terms in 16774 + 151*l + 499*l - 8385 - 8389.
650*l
Collect the terms in 84643162*u - 80744257*u + 235649981*u.
239548886*u
Collect the terms in -3*l**2 + 87*l - 2377*l**3 + 1129*l**3 + 1249*l**3.
l**3 - 3*l**2 + 87*l
Collect the terms in -14623*y - 3016*y + 28986*y + 34297*y.
45644*y
Collect the terms in -7122*w**3 + 17*w**2 + 15*w**2 + 26*w**2 - 58*w**2 + 3825*w**3.
-3297*w**3
Collect the terms in 169*f - 15*f**2 - 773*f - 60*f - 316*f - 283*f.
-15*f**2 - 1263*f
Collect the terms in 1049*u**3 + 394*u**3 - u**2 - 455*u**3 + u**2.
988*u**3
Collect the terms in -2*u + 12190 + 11957 - 36397 + 12250.
-2*u
Collect the terms in 157*n**3 - 2218*n**3 - 1900*n**3 - 680*n**3.
-4641*n**3
Collect the terms in 2983222*h**3 - 5967081*h**3 + 2983407*h**3.
-452*h**3
Collect the terms in -1 - 1027170871*a**2 + 1027170822*a**2 + 1.
-49*a**2
Collect the terms in -6723*l**3 + 2632*l**3 + 2622*l**3 + 1448*l**3.
-21*l**3
Collect the terms in -216688*d - 216600*d + 433324*d.
36*d
Collect the terms in -2*m**2 + m + 0*m - m + 0*m - 119380 + 119189.
-2*m**2 - 191
Collect the terms in 6*d + 13*d + 35*d + 31*d - 2261 - 90*d + 2261.
-5*d
Collect the terms in 614018 + 210*u - 614018.
210*u
Collect the terms in 11 - 24001*t + 48012*t - 24011*t + 6*t**2 - 5*t**2 - 11.
t**2
Collect the terms in 465 + 364*y - 95*y - 84*y - 92*y - 89*y.
4*y + 465
Collect the terms in -102*m + 2*m**3 - 4295726325*m**2 + 4295726325*m**2.
2*m**3 - 102*m
Collect the terms in 8175*k**2 - 5893*k**2 + 6808*k**2 + 6336*k**2.
15426*k**2
Collect the terms in 1854122*x - 926944*x - 927185*x.
-7*x
Collect the terms in 7337*h + 7380*h - 401*h**3 - 14717*h - 1.
-401*h**3 - 1
Collect the terms in -3*a - 2301 + 7461 - 2292 - 2866.
-3*a + 2
Collect the terms in -13*q**2 - 145 + 16*q**2 + 86 + q + 59.
3*q**2 + q
Collect the terms in 15 + 4*d**2 - 1 - 1 - 7 - 4 + 1.
4*d**2 + 3
Collect the terms in 4 - 770*b - 776*b + 1601*b + 0 - 4.
55*b
Collect the terms in 56 - 3051*w**2 - 56 + 3015*w**2 + 2*w.
-36*w**2 + 2*w
Collect the terms in -32 - 60185*a + 120358*a - 60178*a.
-5*a - 32
Collect the terms in -16*d + 35*d + 17314 - 21*d.
-2*d + 17314
Collect the terms in -24837*b**2 + 25*b + 24869*b**2 - 21*b - 4*b.
32*b**2
Collect the terms in -442 + 1386 - 502 + 5*t - 2*t - 442.
3*t
Collect the terms in -31136 + 2*l**2 - 2991 - 3*l**2.
-l**2 - 34127
Collect the terms in 0*r**3 + 164545374*r**2 - 2*r
|
{
"pile_set_name": "DM Mathematics"
}
|
2*x**2/5 - 12*x/5 - 7. Factor k(m).
3*(m - 2)**2*(m - 1)/5
Let x(p) be the first derivative of -p**7/5040 - p**6/2160 - p**3/3 + 1. Let r(n) be the third derivative of x(n). Find w, given that r(w) = 0.
-1, 0
Let c(j) = 14*j**2 + 14*j + 5. Let h(v) = -5*v**2 - 5*v - 2. Let d(m) = 4*c(m) + 11*h(m). Determine o, given that d(o) = 0.
-2, 1
Let b = -19 - -15. Let q be b/6*9/(-15). Factor 2/5*x**4 + 4/5*x**3 - q + 0*x**2 - 4/5*x.
2*(x - 1)*(x + 1)**3/5
Let d(b) be the third derivative of -b**7/315 + b**6/36 - 4*b**5/45 + b**4/9 - 70*b**2. Solve d(x) = 0 for x.
0, 1, 2
Let n = -26 + 53/2. Let c be 1/(-2) + -2 + 6 + -3. Factor -y + n + c*y**2.
(y - 1)**2/2
Let y(h) = h - 2. Let s be y(5). Determine i, given that -s + 5 - i**2 - 2 = 0.
0
Factor -3 + 0*j**2 - 196*j + 193*j + 3*j**3 + 3*j**2.
3*(j - 1)*(j + 1)**2
Let p(n) be the first derivative of -4 - 1/60*n**6 + 3*n - 1/48*n**4 + 0*n**2 - 1/16*n**5 + 1/12*n**3. Let o(m) be the first derivative of p(m). Factor o(f).
-f*(f + 1)*(f + 2)*(2*f - 1)/4
Let c = 36 + -34. Let v = 56/3 - 380/21. Factor 0*j**c - v - 6/7*j + 2/7*j**3.
2*(j - 2)*(j + 1)**2/7
Let a be 1 - 1 - 1 - -4. Suppose -x - 4 = -a*x. Factor 8*d**3 - d**5 - 2*d**3 - 3*d**3 + 0*d - x*d + d**2 - d**4.
-d*(d - 1)**2*(d + 1)*(d + 2)
Let j be (-7)/14*3/6*0. Let i(t) be the third derivative of j*t**4 + 0*t**3 - 1/180*t**5 - 4*t**2 - 1/360*t**6 + 0 + 0*t. Factor i(m).
-m**2*(m + 1)/3
Let f(z) = -8*z**5 + 8*z**3 - 6*z. Let u(b) = 7*b**5 - 7*b**3 + 5*b. Let n(r) = 5*f(r) + 6*u(r). Find c, given that n(c) = 0.
-1, 0, 1
Let h be -10 + 14 + -7 + (-11)/(-3). Let -1/3*s**2 + 0 - h*s = 0. Calculate s.
-2, 0
Let d(g) = 3*g**2 + 2*g + 4. Let r(p) = -10*p**2 - 6*p - 12. Let i(q) = 16*d(q) + 5*r(q). Factor i(l).
-2*(l - 2)*(l + 1)
Let o(j) be the third derivative of -j**8/2240 + j**6/480 - j**3/3 + 3*j**2. Let g(w) be the first derivative of o(w). Find f such that g(f) = 0.
-1, 0, 1
Let h be ((120/9)/10)/(4/6). Let k(a) = a**2 - 1. Let b be k(2). Find l such that 0 + 0*l**h + 2/7*l**b - 2/7*l = 0.
-1, 0, 1
Let 0*x - 2/3*x**3 + 0 + 2/3*x**2 = 0. Calculate x.
0, 1
Let k(m) = -7*m**4 + 2*m**3 - 10*m**2 - 6*m. Let d(w) = -20*w**4 + 5*w**3 - 29*w**2 - 17*w. Let l(i) = 6*d(i) - 17*k(i). Determine h so that l(h) = 0.
-2, 0
Let i(d) be the third derivative of d**6/220 - 2*d**5/165 - d**4/33 - 49*d**2. Find l, given that i(l) = 0.
-2/3, 0, 2
Suppose 8 = -k + 4*p, 0*p = k - 5*p + 11. Let v(f) be the second derivative of -1/15*f**6 + 0*f**3 + 0 + 0*f**2 - 1/5*f**5 - f - 1/6*f**k. Factor v(a).
-2*a**2*(a + 1)**2
Let l(h) be the second derivative of h**6/160 + 7*h**5/240 + 5*h**4/96 + h**3/24 + h**2 + h. Let f(o) be the first derivative of l(o). What is r in f(r) = 0?
-1, -1/3
Let k(z) = -2*z**4 + 2*z**3 - 10*z**2 + 2*z + 4. Let j(t) = t**3 + t**2 - 1. Let y(i) = 4*j(i) + k(i). Factor y(l).
-2*l*(l - 1)**3
Let n(x) = 4*x + 6. Let o(d) be the third derivative of -d**5/60 + 11*d**4/24 + 19*d**3/6 - d**2. Let a(m) = -7*n(m) + 2*o(m). Let a(s) = 0. Calculate s.
-2, -1
Let w be (-4)/(-12) - (10/(-6) + 0). Let k(b) be the third derivative of 1/180*b**5 + 0*b + 0*b**4 + 0*b**3 - 3*b**w - 1/630*b**7 + 0*b**6 + 0. Factor k(r).
-r**2*(r - 1)*(r + 1)/3
Suppose -33 = -12*m + 15. Factor 0*j + 2/9*j**5 + 0 + 0*j**3 - 2/9*j**m + 0*j**2.
2*j**4*(j - 1)/9
Let q(i) be the second derivative of -i**6/10 + 3*i**5/5 - 5*i**4/4 + i**3 + 8*i. Factor q(c).
-3*c*(c - 2)*(c - 1)**2
Let a(v) be the first derivative of v**4 + 20*v**3/3 + 16*v**2 + 16*v - 30. Solve a(y) = 0 for y.
-2, -1
Factor -112/11*u**4 + 6*u**3 + 0 + 32/11*u**5 + 8/11*u + 56/11*u**2.
2*u*(u - 2)**2*(4*u + 1)**2/11
Let x be 5682/8*10/525. Let r = x + -121/10. Factor 0 - r*n**2 + 4/7*n.
-2*n*(5*n - 2)/7
Let a(q) be the third derivative of 2*q**5/15 + q**4/2 + 2*q**2. Solve a(j) = 0 for j.
-3/2, 0
Solve 2*z - 23*z**3 + 9*z**3 + 3*z**5 + 4*z**2 - 3*z**2 - z**4 + 9*z**3 = 0.
-1, -2/3, 0, 1
Let m(c) be the first derivative of c**7/245 - c**6/420 - c**5/105 + c**2 + 1. Let h(a) be the second derivative of m(a). Factor h(f).
2*f**2*(f - 1)*(3*f + 2)/7
Suppose -3*z - 4*b - 8 = 0, 5*z = -2*b - 4 - 0. Let l(d) be the third derivative of 0*d**3 - 1/48*d**4 - 1/60*d**5 + z*d + 3*d**2 + 0. What is g in l(g) = 0?
-1/2, 0
Let q be (-4)/(4/5) + 7. Factor 2/15*c**4 + 0*c**q + 2/15*c**3 + 0 + 0*c.
2*c**3*(c + 1)/15
Suppose 0 = -16*g + 2*g + 28. Determine n so that -2/9*n**4 + 2/9*n**g + 2/9*n**3 - 2/9*n**5 + 0 + 0*n = 0.
-1, 0, 1
Let t = 13 + -11. Suppose -t*d - 3*d + 10 = 0. Factor 0 - 7/2*h**d + h.
-h*(7*h - 2)/2
Let l = -383 - -383. Find t such that 44/3*t**2 + l + 20*t**3 + 8/3*t = 0.
-2/5, -1/3, 0
Suppose -2/3*s**2 + 2/9*s**3 + 6 - 2*s = 0. Calculate s.
-3, 3
Suppose -g + 2 + 3 = 0. Suppose 12 = 5*m - g*t - 13, -3*t = 6. Factor 2/3*o + 2/3*o**5 - 4/3*o**2 + 2/3*o**4 + 2/3 - 4/3*o**m.
2*(o - 1)**2*(o + 1)**3/3
Let k be ((-2)/(-5))/(-7 + 9). Let g(y) be the second derivative of -1/30*y**4 + k*y**2 + 1/15*y**3 - 1/50*y**5 + 2*y + 0. Factor g(o).
-2*(o - 1)*(o + 1)**2/5
Let m be 1/1*0/5. Let r(i) be the third derivative of 1/36*i**4 + m*i + 0*i**3 - 1/36*i**5 - i**2 + 0. Factor r(p).
-p*(5*p - 2)/3
Let d(j) = 5*j**4 + 2*j**2 + 8*j + 1. Let y(m) = 4*m**4 - m**3 + 2*m**2 + 7*m. Let i(a) = 3*d(a) - 4*y(a). Factor i(q).
-(q - 3)*(q - 1)**2*(q + 1)
Let g(a) be the first derivative of a**8/336 - a**7/105 + a**5/30 - a**4/24 + a**2/2 + 1. Let s(d) be the second derivative of g(d). Find y such that s(y) = 0.
-1, 0, 1
Let t(w) be the second derivative of 11/12*w**4 + 0 - 4*w - 2*w**2 - 3/20*w**5 - 4/3*w**3. Factor t(a).
-(a - 2)**2*(3*a + 1)
Let d be (-3)/(3/2) + 68. Suppose 0 = -5*z - 20, -c + 3*z = -42 - d. Factor 4*q**4 + 6 + 56*q + 162*q**2 + 48*q**3 + c*q**3 + 28*q**4.
2*(q + 1)*(q + 3)*(4*q + 1)**2
Suppose -5*z - 3*z**3 - 8*z**2 - 19*z + 26*z**2 - 3*z = 0. Calculate z.
0, 3
Let x(p) = -2*p - 3. Let r be x(-3). Factor 4*j**2 - j**5 + 5*j**4 - 6*j**r - j**4 - j + 0*j.
-j*(j - 1)**4
Let i(a) be the third derivative of a**7/1155 + 2*a**6/165 + 7*a**5/330 + 2*a**2 + 11*a. Factor i(y).
2*y**2*(y + 1)*(y + 7)/11
Let w(g) be the third derivative of g**5/360 - 5*g**4/144 + g**3/6 - 3*g**2. Find b such that w(b) = 0.
2, 3
Let r = 1/7195 + 13913/3432015. Let b = 1898/2385 + r. What is j in b*j**2 + 2/5 - 4/5*j**3 - 2/5*j**5 - 6/5*j**4 + 6/5*j = 0?
-1, 1
Let r(f) be the third derivative of -f**8/60480 + f**5/30 + 2*f**2. Let c(i) be the third derivative of r(i). Factor c(o).
-o**2/3
Let t(v) be the third derivative of -v**6/240 - 3*v**5/40 - v**4/2 - 4*v**3/3 + 11*v**2. Suppose t(f) = 0. What is f?
-4, -1
Let h(i) = -i**3 - 3*i**2 + 2*i - 5. Let l be h(-4). Factor -4*f**2 - f**4 - 2*f**2 + 3*f**l + 4*f**4.
3*f**2*(f - 1)*(f + 2)
Let p = -248 + -112. Let a = 2528/7 + p. Solve a*x**2 + 10/7*x + 4/7 + 2/7*x**3 = 0 for x.
-2, -1
Let j(h) be the second derivative of 49*h**6/6 - 77*h**5/4 + 40*h**4/3 - 10*h**3/3 - 14*h. Factor j(y).
5*y*(y - 1)*(7*y - 2)**2
Suppose -5*n + 43 + 47 = 0. Let c be (3/6)/(n/8). Factor -4/9 + 2/3*j**2 - c*j.
2*(j - 1)*(3*j + 2)/9
Let i(n) = 2*n**2 - 4*n + 12. Let o(d) = -d**2. Let v(z) = -i(z) - 3*o(z). Suppose v(y) = 0. What is y?
-6, 2
Let z = 56 - 56. Let g(c) be the first derivative of 1/9*c**3 + 1/6*c**2 + z*c + 4. Find u, given that g(u) = 0.
-1, 0
Let t(x) be the second derivative of 2*x**6/15 - 3*x**5/5 + 2*x**4/3 - 28*x. Solve t(c) = 0.
0, 1, 2
Factor 0 - 2*b**2 + 2/5*b**3 + 8/5*b.
2*b*(b - 4)*(b - 1)/5
Find m, given that 9 - 12*m + 3*m - 3*m + 3*m**2 = 0.
1, 3
Factor 0 + o + 1/3*o**2.
o*(o + 3)/3
Let n(o) be the first derivative of 3*o**4 - 35*o**3/3 + 12*o**2 - 4*o - 66. Determine q, given that n(q) = 0.
1/4, 2/3, 2
Let s(n) = -n**3 + n**2 - 2. Let g(b) = 3*b - 12*b**2 + 1 + 11*b**2 - 3*b. Let d be 2/8 - (-25)/(-4). Let j(m) = d*g(m) + 3*s(m). Factor j(u).
-3*(u - 2)**2*(u + 1)
Let x = 22099/21270 - 4/709. Let d = 3/10 + x. Determine i so that 2/9*i**3 + 8/3*i + d*i**2 + 16/9 = 0.
-2
Let h(i) = -i**5 + 5*i**4 + 7*i**3 + 5*i**2 + 4*i + 2. Let b(o) = o**5 + o**3 + o**2 - o - 1. Let j(f) = -6*b(f) - 3*h(f). Find n such that j(n) = 0.
-2, -1, 0
Suppose -n + 12 = 2*n. Suppose -15 = l + 3*l + 5*p, 12 = -n*l - 4*p. Factor 0*u**2 + l - 2/9*u**3 + 0*u.
-2*u**3/9
Let l(h) = 326*h**3 - 506*h**2 - 270*h - 34. Let m(q) = -q**3 + q**2 - q +
|
{
"pile_set_name": "DM Mathematics"
}
|
se -5*h + 0*r + 5 = 5*r, -h + r = -5. Which is the nearest to -1? (a) -2/7 (b) h (c) p
a
Let u be 2/3 + (-944)/24*-1. Let p be (2 - u/15) + 10/(-3). What is the nearest to p in 0.01, -4/9, -1?
-1
Suppose 13*x - 11*x + 2 = 0. Let g be ((-16)/24*x)/(-4 - -2). Which is the nearest to -2? (a) -1 (b) -2 (c) g
b
Let y be (-13)/((-364)/24)*28. Suppose y*w = 7*w - 34. Which is the closest to 2/3? (a) -26 (b) w (c) 3/5
c
Let g = 3 - 2.9. Let s = 16764 - 16761. Which is the nearest to g? (a) 9/5 (b) s (c) -0.4
c
Let t = 6.969 - 6.08. Let k = t - -0.111. Which is the nearest to -0.8? (a) 5 (b) k (c) 0
c
Let u be (-3)/(-12) + (-100)/272. Suppose 4 = 35135*l - 35137*l. Which is the nearest to 0.1? (a) l (b) u (c) 1/6
c
Let j = 0.06 - 1.06. Let h = -296 + -291. Let o = 592 + h. Which is the nearest to 1? (a) j (b) -4 (c) o
a
Let s = -2 - -2.2. Let u = 71927 - 71927. What is the closest to u in -5, s, -1?
s
Let j be (-77)/(-49) - 2 - (-286)/308. What is the nearest to 29 in -2/9, j, -1/2?
j
Let i = 1191 - 1196. Let y = -36.4 - -34. Let h = 2.4 + y. Which is the closest to -5? (a) 4 (b) i (c) h
b
Let v = -6.2 + -63.8. Let d = 70.204 + v. Let y = d - 0.004. What is the nearest to 2 in y, 3, 0?
3
Let g = 15.23 + -14.73. What is the nearest to 1 in 0.045, 3, g?
g
Let g = -5 - -8. Suppose -p - 3*h - 2*h = 23, -50 = -5*p + 8*h. Suppose p*q - 5*q + g = -o, -3*q = 2*o - 3. Which is the closest to q? (a) 1 (b) -0.5 (c) -6
a
Let s = 0.24 + -5.24. Let b = -11 + 13. Let o be 0*(-3 - (-49)/14). What is the closest to o in s, b, 3?
b
Let i(l) = -329*l + 1975. Let a be i(6). What is the nearest to 0 in a, -169, -0.5?
-0.5
Let n = -0.638 + 34.538. Let f = -34 + n. Let i = 11 + -10.6. Which is the nearest to 3/13? (a) i (b) f (c) 0.2
c
Let g = 14 + -18. Let s = -0.544 - -0.044. Let r be (-2)/6 + 2/(-3). What is the closest to 1/4 in g, s, r?
s
Let n = 5387.5 - 5387. Which is the nearest to -2/5? (a) -3 (b) n (c) 0.2 (d) 2/9
c
Let s = 27 + -16. Let c = 12 - s. Let g = -1349/12 - -335/3. What is the closest to c in g, 0.2, -3?
0.2
Let r = 2.0034 - 1.0034. Which is the nearest to r? (a) 0.4 (b) -1/10 (c) 284 (d) 2/3
d
Let p = -542.8 - -537.8. Which is the closest to p? (a) -2 (b) 5 (c) -3 (d) 1/4
c
Let u be (-72)/(-638) - (-40)/580. Which is the nearest to 1? (a) 6 (b) 0 (c) 1.05 (d) u
c
Let k = 1260467/567 + -6668/3. Let x = k + 4/81. Which is the nearest to -0.1? (a) 4 (b) x (c) -84
b
Let z be (-46)/14 - (-4)/14. Let x = -263035/3 + 87678. What is the closest to z in 4/3, x, -0.4, 0.1?
-0.4
Let s = 10766/5 - 2154. Which is the nearest to 0.2? (a) s (b) 1/7 (c) 5 (d) -0.5
b
Let c = -0.35 + 0.05. Let a be (30/45)/(((-100)/(-12))/5). Let n = -0.07 - -2.07. What is the closest to n in 4, a, c?
a
Let u be ((-20)/(-25) - 1)/(3 + 68/(-20)). Which is the nearest to 2/3? (a) -731 (b) u (c) -2/21 (d) -5/4
b
Let j = -1509 - -1509.6. Which is the closest to -3? (a) 1/8 (b) j (c) -13
a
Let n = 0.059968 + 0.340032. Let t = -9/20 - 1/20. Which is the nearest to -5? (a) 0.2 (b) t (c) 3 (d) n
b
Let v = -7628 + 7631. Which is the nearest to 0.1? (a) -857 (b) v (c) 0.1
c
Let r be 4 - (49 - 19 - 25). Let s = -1.6 - 7.4. What is the nearest to r in s, -4/7, 0?
-4/7
Suppose 39 = 29*y + 10. Which is the nearest to y? (a) -4 (b) 0 (c) 0.93
c
Let o = -139171 - -139173. Let u = 1.6 - 1.49. Which is the closest to u? (a) -0.1 (b) -0.3 (c) -3 (d) o
a
Let h = 1.1 - 1. Let g = -9682.05 - -9681.05. Let k be 3/(-9)*(-3)/2. Which is the nearest to h? (a) k (b) g (c) -7
a
Let m = 12278.7 - 12279. What is the closest to m in 5, -0.5, -0.3, -9?
-0.3
Let n(z) = -z**3 + 51*z**2 + 274*z + 340. Let o be n(56). Let l = 0.1 + 0.4. Which is the nearest to 3? (a) l (b) o (c) -5
b
Let a = -2.24 - -1.59. Let v = a + 1.65. What is the closest to 1 in 3, v, -0.2?
v
Let i(s) = 3*s**2 + 2*s + 2. Let p be 27*2/(-6)*(2 - 3). Let q be i(p). Let h = 1311/5 - q. What is the nearest to -3 in h, -0.7, 1?
h
Let r(v) = -v**2 + 5*v - 3. Let y be r(2). Let j = -48.066 + 46.066. Which is the nearest to j? (a) 2/3 (b) 1 (c) y (d) -1
d
Let n = -33 + 36.7. Let m = n + 1.3. Let s be (4/(-130))/((14/56)/((-30)/(-24))). What is the nearest to 4 in -0.4, s, m?
m
Let f be (-25)/66 - 1/(-3). Let q = -1 - -0.9. Let n(v) = -5*v**2 + 963*v - 579. Let t be n(192). Which is the closest to q? (a) t (b) 0 (c) f
c
Let r = -0.1388 - -2.1388. Which is the closest to 2/7? (a) r (b) -1 (c) 12
b
Let r = 446 + -445. Let p be ((-2)/(-6))/(6/((-144)/(-10))). Which is the closest to p? (a) r (b) 0.5 (c) 0.01
a
Let x be 2/(-6)*(-6)/(-4). Let j = 298172 - 298171.95. Which is the nearest to x? (a) 0.3 (b) 2/3 (c) j
c
Let m = 2665521/6956 - 14160/37. Let x = -3174/13 + 149334/611. Let r = m + x. Which is the nearest to -8? (a) r (b) 0.2 (c) 2/15
c
Let i = 271 - 277. Let j be i/(-18)*-3 - (-10)/14. Which is the closest to 2? (a) j (b) 12 (c) 2/15
c
Let f = 3571.8 - 3572. What is the nearest to f in -4, -0.5, -150?
-0.5
Let o be (-4 + 0)*1/(-6). Let u = 1/15 - 7/15. Let j = 6.999 + -7.499. Which is the nearest to u? (a) o (b) j (c) 3
b
Let f = -264 + 283. Suppose f*t - 49 = 27. Which is the nearest to 8? (a) 0 (b) -1 (c) t
c
Let u = 24.3 + -23.9. Which is the closest to 2/7? (a) 1.6 (b) u (c) -0.3
b
Let i = -17 + 20. Let v = 127.4 + -113. Let x = -14 + v. Which is the closest to 2? (a) 0.2 (b) x (c) i
c
Let o = 2.84 - 0.84. Which is the closest to o? (a) -0.43 (b) -5 (c) 1/4 (d) -2
c
Let n = -9.789 + 8.789. Suppose -d = -2*d - 4*f - 1, f + 2 = -2*d. What is the closest to d in -4, n, 6?
n
Let f = 2255719 + -15790035/7. Let d(x) = 7*x - 1. Let p be d(-5). Let y = p - -182/5. Which is the closest to f? (a) -0.8 (b) y (c) -0.3
c
Let p(b) = -b**3 - 21*b**2 + 18. Let v be p(-21). Let t = -0.013 + 0.373. Let s = -0.04 - t. What is the closest to v in s, -2, 5?
5
Let t = -35348.084 - -35425. Let p = t + 0.084. Let v = p + -79. Which is the nearest to 1? (a) v (b) 1/3 (c) -1/11
b
Let k = -0.05 + 3.05. Let u(g) = -9*g - 90. Let l be u(-11). What is the nearest to l in 2, 3/2, k?
k
Let s = 8 + -5. Let y = 38271 - 344429/9. What is the nearest to -0.2 in s, 5, y?
y
Let o(j) = 471*j - 2327. Let t be o(5). Which is the closest to 2/5? (a) -5/3 (b) 0 (c) t
b
Suppose -4 = -4*z + 8. Let k be -1*(3 - z)/1. Let s = 0.8 - 3.8. Which is the nearest to 1? (a) s (b) k (c) 1/2
c
Let r be 6/35 + (-3)/5. Let y = 15/14 - r. Let o be 0 - (-16)/14*13/312*-6. Which is the closest to -0.1? (a) y (b) o (c) -2/13
c
Let k = -2.95012 + -0.04988. What is the nearest to 6 in k, -2/19, 5?
5
Let k = -3 + -28. Let b = k - -35. What is the nearest to 2/25 in 0, b, -3?
0
Let t be (6/(-9))/(16/36*36/(-24)). Which is the closest to -0.42? (a) 3 (b) t (c) 0.5
c
Let r = 595 + -2973/5. Let v = 7 - 11. Let o be 21/49*1*-1. What is the nearest to r in -5, o, v?
o
Let q = 0.0584 - -1.9416. Let d = -6.05 + 6. Let g = -5.05 - d. What is the closest to -3 in 1, q, g?
g
Let b(m) = -2*m**2 + 17*m - 23. Let w be b(5). Let t be 9/w*(8 + 528/(-63)). What is the closest to t in -3, 0.05, 0.3?
0.05
Let p = 1.6 - 1.5. Let h = 97 - 177. Let v = 81 + h. What is the closest to 0.4 in v, p, 3?
p
Let m = 47 + -48. Suppose -5*t + 2*o + 3*o + 25 = 0, -2 = 2*t + 4*o. Let n be 4 - (t + (-10)/(-25)). Which is the closest to -4? (a) m (b) n (c) -3
c
Let m = -13 - -12.9. Let l(w) = w**3 - 14*w**2 + 128*w - 1785. Let h be l(14). Let q = -4 - -8. What is the closest to m in h, 5, q?
q
Let w = 0.724 + -0.624. Let l = 1991/6 - 331. Which is the nearest to 2? (a) l (b) 2/11 (c) w
a
Let k = -1601 - -1594. What is the nearest to 12 in -0.5, k, -2/7, 3?
3
Let j be (-57)/228*(-11 - -1). Which is the nearest to -0.1? (a) j (b) -2/3 (c) -3 (d) -0.1
d
Let o = -4.8686 + -0.1314. Let f = -6.861 + -0.139. Which is the closest to 0? (a) f (b) o (c) 1
c
Let v = 436.1 + -430.1. Let q = 15 + -19. What is the closest to -1 in v, q, 1?
1
Let r = 684 - 2735/4. Suppose 0 = -2*o - 0*z - z + 6, -2 = o - 2*z. Let t(h) = h**3 + 14*h**2 - 32*h - 3. Let m be t(-16). What is the closest to o in -2, r, m?
r
Let x(d) = -d**2 - 4*d + 9. Let h be x(0). Suppose -4*q - h = -s + q, -q = s - 3. Which is the nearest to s? (a
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest 100000?
-27400000
Let m = 122 + -52. Let f = m + 40. Let n = f + -109.08. Round n to the nearest integer.
1
Let f = -0.2144 + 0.2138369. Round f to 4 dps.
-0.0006
Let c = 0.08331 + -22.15931. What is c rounded to 0 decimal places?
-22
Let g(x) = 404499*x**3 + 2*x**2 - 12*x - 1. Let n be g(2). Suppose -4*d - 10*v + 5*v = -n, -15 = 3*v. Round d to the nearest ten thousand.
810000
Let x = 6316 + -6316.004101. Round x to 3 dps.
-0.004
Let c(d) = -679760*d - 140. Let o be c(1). What is o rounded to the nearest one hundred thousand?
-700000
Let m = -32 + 32.02. Let f = m - 0.91. Let c = f + 0.88. What is c rounded to 1 decimal place?
0
Let j = 23195 - 23195.00090536. Round j to 4 decimal places.
-0.0009
Let a = -1877.4 - -1857.179. Round a to the nearest integer.
-20
Let y = 0.423 + -0.2686. Let i = y + -0.0723. Round i to 2 dps.
0.08
Let j = -28755.883 + 28487. Let n = j - -210.47. Let q = n + -0.487. What is q rounded to the nearest 10?
-60
Let h = -0.10825757823 - -0.108257. What is h rounded to seven dps?
-0.0000006
Let z = 79.0322 - 0.0622. Let h = z + 11.23. What is h rounded to the nearest ten?
90
Let y = -9.9622 - 0.0178. Let i = 2067 + -2052.83. Let z = i + y. What is z rounded to one decimal place?
4.2
Let l(u) = -2*u**2 + 30*u - 145. Let r be l(-38). Let s be (-2)/8 - r/52. Round s to the nearest 10.
80
Let u(n) = 22*n**3 - n**2 - n - 40. Let j be u(4). Round j to the nearest 100.
1300
Let d be (-210)/135 - (-192299)/9. What is d rounded to the nearest 10000?
20000
Let j = 277.136216422 - -71.863779288. Let n = j + -349. Round n to 6 dps.
-0.000004
Let z = 31855 + -31855.0069487. Round z to four dps.
-0.0069
Let i = 4424827070 - 4424826895.00000408. Let m = -175 + i. Round m to 7 decimal places.
-0.0000041
Let n = -110716.047 + 110624. Let k = -830 - -738. Let l = n - k. What is l rounded to 2 dps?
-0.05
Let x(k) = -k**3 + 27*k**2 - 12*k - 36. Suppose n - 5*n + 3*l + 48 = 0, -33 = -3*n + 3*l. Let t be x(n). What is t rounded to the nearest 1000?
2000
Let z = -14332.2 - -11505.94. Round z to the nearest 10.
-2830
Let x = -39.06 - -13.94. Let q = x + 24.8. What is q rounded to the nearest integer?
0
Let z = 27.2 + -28.78. Let u = z - -2.79. Round u to the nearest integer.
1
Let c(u) = -u - 11. Let a be c(-15). Suppose 0 = f + 3*q + 293332, 0*q + 1173364 = -a*f - 3*q. Let p = f - -12893344. What is p rounded to the nearest 1000000?
13000000
Let y = -3.5235 - -3.5234924407. What is y rounded to 7 dps?
-0.0000076
Let q = -59 + 58.936. Let d = q - 17.936. Let t = -17.99999916 - d. Round t to seven dps.
0.0000008
Let v = 122.5 - 834.5. Let n = 712.2552 + v. Let r = n + -0.24. Round r to 3 decimal places.
0.015
Let j(l) be the first derivative of -l**4/4 + 7*l**3/3 + 3*l**2/2 + 8*l + 14. Let w be j(7). Let o = -34 + w. What is o rounded to the nearest ten?
-10
Let y = -116.2 + 99. Let k = y - -19.14. Let x = -0.16 - k. Round x to one dp.
-2.1
Let a = -0.72 + 0.38. Let w = -752.321 + 752. Let h = w - a. Round h to 2 decimal places.
0.02
Let o(n) = 1825001*n**2 - 9*n + 20. Let h(a) = -10*a - 116. Let m be h(-12). Let q be o(m). What is q rounded to the nearest 1000000?
29000000
Let i = 13221 - 13236.7365. Let m = 15.8 + i. What is m rounded to two decimal places?
0.06
Let b = 405441156 - 727771156. What is b rounded to the nearest 1000000?
-322000000
Let y = -210639.5337 - -211290.3884326. Let h = 0.1157326 - y. Let z = h - -651. What is z rounded to 2 decimal places?
0.26
Let y = -361998423569691 - -361998400544321.0600139. Let q = y + 23025368. Let u = q - -1.94. What is u rounded to five dps?
0.00001
Let z = -2985079.096 - -2984915.09599927. Let d = -164 - z. Round d to seven decimal places.
0.0000007
Let x = -5468 - -5397. Let m = -133.27 - -61.53. Let c = m - x. What is c rounded to one dp?
-0.7
Let r = 221.86 + -217. Let i = r + -4.9006. Let l = i - -0.047. What is l rounded to 3 dps?
0.006
Let z = -2527.357 - 4.643. Let c = -2342.3 - z. Let r = -182 + c. What is r rounded to the nearest integer?
8
Let x = -9208.223 - 8.777. Let h = x - -9216.9999995847. What is h rounded to 7 dps?
-0.0000004
Let s = -133489.22796 - -133492. Round s to 2 decimal places.
2.77
Let s = 0.463971 + -0.462. What is s rounded to 4 dps?
0.002
Let l = 648950.66 + -665364. Let g = l + 16116. Let i = -301 - g. What is i rounded to 1 decimal place?
-3.7
Let u(k) = -6*k**3 - 2*k**2 + 7*k + 10. Let g be u(-3). Let r be 10/(-3)*(g - -5). Let t = 40 - r. Round t to the nearest 1000.
1000
Let u be ((-4)/8 - 1) + 50/(-4). Let q = 23 + u. Let f be (-200*69/q)/(1/15). What is f rounded to the nearest ten thousand?
-20000
Let d = 165 + -162. Suppose q + d*a = 1999, -5*q + 0*a = 3*a - 9959. Round q to the nearest 100.
2000
Let i = 145906446 - 204716103. Let o = -58809957.00159 - i. Let d = o - -300. What is d rounded to 4 dps?
-0.0016
Let h = -0.0303 + 0.0488. Let j = h + 0.045. What is j rounded to two decimal places?
0.06
Let i = 112445 + -112444.99948599. What is i rounded to 5 decimal places?
0.00051
Let t = 5.7 - 50.7. Let w = t + 50.4. Let q = w + -5.39999892. Round q to seven decimal places.
0.0000011
Let a = 1937 - 3364. Let s = 1427.0003565 + a. What is s rounded to five dps?
0.00036
Suppose 23*z = 20*z + 3. Let v(c) = 6*c - 3*c - 6 - 4*c - z + 220*c**2. Let s be v(3). Round s to the nearest one hundred.
2000
Let u = 35 - 34.58. Let i = 740.52 - 741. Let q = u - i. Round q to the nearest integer.
1
Let d = -230 - -891. Let s = d + -654.34. Round s to the nearest integer.
7
Let d = 22241.743 + -22649.74441. Let r = d + 408. Round r to 4 dps.
-0.0014
Let p = -1.3 - -0.65. Let m = -1334.59 - -1334. Let v = m - p. Round v to two dps.
0.06
Suppose -4610718 = 2*k + 761882. What is k rounded to the nearest 10000?
-2690000
Let h = -473 - -459. Let u be (-89887)/h - (3/(-2))/(-3). What is u rounded to the nearest 1000?
6000
Let v = 6.657287589 - 4796.652570589. Let r = 4790 + v. What is r rounded to three dps?
0.005
Let o = 41269 - 41268.999862086. What is o rounded to 6 dps?
0.000138
Let p = -160 + 86. Let o = 4584858.00062 - 4584784. Let d = o + p. Round d to four decimal places.
0.0006
Let g = 6448 + -6448.001758. What is g rounded to 4 dps?
-0.0018
Let r(m) = m**3 + 5*m**2 + 4*m. Let n be r(-3). Let a(z) = -8 + n*z**2 - z + 13*z + 4*z**3 - z. Let v be a(-8). What is v rounded to the nearest one hundred?
-1800
Let q = -309 + -17. Let d = q - -326.0131. What is d rounded to three dps?
0.013
Suppose 0 = -12*y + 7418429 + 1082371. Suppose 61*f - y = 72*f. What is f rounded to the nearest one thousand?
-64000
Let k = -104215762 - -104215711.7009095. Let l = 50.3 + k. Round l to 4 decimal places.
0.0009
Let i = 626 + -593. Let r be (8/6 - 1) + 52040989/i. What is r rounded to the nearest 100000?
1600000
Let x = -219.25 + 219. Let k = -0.2500338 - x. What is k rounded to five dps?
-0.00003
Let q = -3118.999995465 - -3119. What is q rounded to 6 decimal places?
0.000005
Suppose -532229 - 175523 = -4*v. Suppose 55488 = 7*r + v. Round r to the nearest 1000.
-17000
Let b = -0.6 + 163.78. Let h = -162 + b. Round h to one decimal place.
1.2
Let p = -11 - -8.2. Let s = -0.72 + p. Let i = -3.51999819 - s. What is i rounded to seven dps?
0.0000018
Let z = 38.28941 + -46.7896. Let j = z - -8.51. Round j to four dps.
0.0098
Let s = -3974.2459286 + 3974.633. Let d = -324.613 - -325. Let l = d - s. What is l rounded to 5 dps?
-0.00007
Let l = -24.34 + 25. Let c = 0.688 - l. Let p = c + -0.0280136. What is p rounded to 6 dps?
-0.000014
Let n(p) = -p**3 + 11*p**2 - 17*p + 11. Let d be n(9). Let g(o) = -260*o**3 - 20*o**2 + 52*o - 40. Let x be g(d). Round x to the nearest one hundred thousand.
-2100000
Let x = 1 + 5. Let f be (-137376)/(-52) - x/(-39). Let s = -1649 + f. Round s to the nearest 100.
1000
Let s = -1273564.4800228 - -1273565. Let y = s - 0.52. What is y rounded to 5 dps?
-0.00002
Let p = -42176 - -42175.980353. Round p to two dps.
-0.02
Suppose 328056852 = 9*h - 11*h. Let u = -88728426 - h. What is u rounded to the nearest one million?
75000000
Let c(p) = 9*p**3 - 2*p**2 + 2*p - 1. Let i be c(1). Suppose -4*h + i*m - 20 = 5*m, -5*h = m + 25. Let f be 1053750/h*(-4)/3. Round f to the nearest 10000.
280000
Let w = -8059.65 - -7643.287. Let o = 0.637 - w. Let r = o -
|
{
"pile_set_name": "DM Mathematics"
}
|
, -3065?
-3508
What is the next term in 126, 1011, 3410, 8079, 15774?
27251
What is the next term in 292, 296, 300?
304
What comes next: -1657, -3316, -4975, -6634, -8293?
-9952
What is next in -12, 28, 94, 186, 304, 448, 618?
814
What is next in 9, -12, -47, -102, -183, -296, -447, -642?
-887
What comes next: -297, -300, -317, -354, -417?
-512
What is the next term in 10, 17, 22, 19, 2?
-35
What is next in 890, 3603, 8124, 14453?
22590
What is the next term in 3, 9, 29, 69, 135, 233, 369, 549?
779
What is next in 131, 253, 375?
497
What comes next: 146, 563, 1254, 2219?
3458
What comes next: 16, 76, 186, 352, 580, 876, 1246?
1696
What is the next term in -22, -137, -336, -625, -1010?
-1497
What is the next term in -186, -383, -580, -777?
-974
What comes next: 63, 108, 153, 198, 243, 288?
333
What comes next: -603, -1190, -1761, -2310, -2831, -3318, -3765, -4166?
-4515
What is next in 3923, 3919, 3913, 3905, 3895?
3883
What is the next term in 37, 40, 45, 52, 61, 72?
85
What comes next: 40, 70, 82, 70, 28, -50, -170, -338?
-560
What is next in -7749, -15501, -23253, -31005?
-38757
What is next in -15, -51, -87?
-123
What is the next term in -71, -145, -233, -341, -475, -641, -845, -1093?
-1391
What is the next term in 50, 75, 126, 209, 330, 495?
710
What is the next term in -16, -50, -106, -184, -284, -406, -550?
-716
What is the next term in 644, 645, 646?
647
What comes next: -45, -79, -115, -153?
-193
What is the next term in 243, 487, 731, 975?
1219
What comes next: -162, -278, -394, -510, -626, -742?
-858
What is next in 102, 135, 166, 195?
222
What comes next: 25, 40, 59, 82?
109
What is the next term in 0, -1, -4, -9, -16?
-25
What is the next term in -102, -205, -308?
-411
What comes next: 336, 327, 318, 309?
300
What comes next: 547, 1091, 1625, 2143, 2639, 3107, 3541?
3935
What is the next term in -158, -312, -466?
-620
What comes next: 35, 40, 55, 86, 139, 220, 335, 490?
691
What is the next term in 52, 66, 86, 112, 144?
182
What is next in 49, 56, 67, 82?
101
What is the next term in 396, 397, 398, 399, 400, 401?
402
What comes next: 198, 399, 600, 801, 1002, 1203?
1404
What is next in -26, -33, -38, -41?
-42
What is the next term in -372, -340, -304, -258, -196, -112, 0, 146?
332
What is next in -227, -248, -283, -332, -395, -472, -563?
-668
What is the next term in -92, -90, -86, -80, -72, -62, -50?
-36
What is the next term in 64, 125, 186?
247
What comes next: -16, -25, -30, -31, -28, -21, -10?
5
What comes next: -10, -30, -60, -100, -150?
-210
What is next in -49, -89, -129, -169, -209?
-249
What is next in -2, 23, 104, 271, 554, 983?
1588
What is the next term in 26, 39, 66, 113, 186, 291, 434?
621
What comes next: -8, -30, -80, -170, -312, -518?
-800
What is next in 6, -13, -42, -87, -154, -249, -378, -547?
-762
What comes next: -26, -40, -56, -68, -70, -56, -20?
44
What is the next term in 340, 377, 414, 451, 488, 525?
562
What comes next: 150, 145, 140?
135
What is the next term in 213, 206, 195, 180, 161, 138, 111?
80
What is next in 16290, 16289, 16288, 16287, 16286?
16285
What is the next term in -13, -25, -35, -43, -49, -53?
-55
What is the next term in -244, -515, -834, -1225, -1712, -2319?
-3070
What is next in -1293, -1292, -1291, -1290, -1289?
-1288
What is next in 336, 334, 334, 336, 340, 346, 354?
364
What comes next: -101, -175, -247, -317?
-385
What is next in 11, -34, -169, -442, -901, -1594, -2569?
-3874
What comes next: 12, 5, -24, -87, -196?
-363
What is next in 32, 40, 54, 74, 100, 132, 170?
214
What comes next: -13286, -13284, -13282, -13280?
-13278
What is next in 6655, 6659, 6673, 6703, 6755, 6835, 6949, 7103?
7303
What is next in -406, -405, -402, -397?
-390
What is next in -13, -8, 1, 14?
31
What is next in 160, 159, 156, 151, 144, 135?
124
What is the next term in 180, 340, 502, 666?
832
What is the next term in -82, -167, -244, -307, -350, -367, -352, -299?
-202
What is next in 648, 649, 652, 657, 664, 673, 684?
697
What comes next: -51, -47, -55, -81, -131, -211?
-327
What is next in -62, -86, -110, -134?
-158
What is next in -3, -17, -75, -201, -419, -753?
-1227
What is the next term in -212, -432, -652, -872, -1092?
-1312
What is next in -1500, -1502, -1504, -1506, -1508, -1510?
-1512
What is next in 352, 365, 386, 415, 452, 497, 550?
611
What comes next: 6301, 6303, 6305, 6307, 6309?
6311
What is next in -395, -785, -1173, -1559, -1943, -2325?
-2705
What comes next: -1292, -1290, -1288, -1286?
-1284
What is the next term in -5, 6, 23, 46?
75
What is next in 9122, 9120, 9118, 9116?
9114
What is next in 106, 207, 306, 403?
498
What is next in -65, -147, -249, -383, -561, -795, -1097, -1479?
-1953
What is next in -7801, -15601, -23401, -31201, -39001, -46801?
-54601
What comes next: -179, -190, -209, -236, -271?
-314
What is next in 0, 78, 288, 696, 1368, 2370?
3768
What is the next term in 50, 105, 160?
215
What is the next term in -63, -137, -225, -333, -467?
-633
What is the next term in -29, -63, -127, -227, -369, -559, -803?
-1107
What is the next term in 43, 134, 285, 496, 767, 1098, 1489?
1940
What is the next term in 210, 422, 634?
846
What comes next: 108, 140, 172, 204, 236?
268
What comes next: 18, 95, 222, 393, 602, 843, 1110, 1397?
1698
What is next in -93, -104, -121, -144, -173?
-208
What comes next: -278, -315, -352?
-389
What is next in -42, -183, -414, -729, -1122, -1587, -2118, -2709?
-3354
What is next in -46, -82, -96, -82, -34, 54, 188, 374?
618
What comes next: -43, -170, -389, -706, -1127, -1658, -2305?
-3074
What is next in -9, -22, -51, -102, -181, -294, -447?
-646
What is next in 2111, 2104, 2093, 2078?
2059
What is next in 119, 117, 115?
113
What comes next: 45, -36, -117?
-198
What comes next: -4022, -8042, -12062, -16082, -20102, -24122?
-28142
What is the next term in -20, -61, -102, -143, -184, -225?
-266
What comes next: -83381, -83382, -83383, -83384?
-83385
What is the next term in 126, 261, 420, 615, 858, 1161, 1536?
1995
What is the next term in -2084, -4170, -6256, -8342, -10428?
-12514
What comes next: 219, 220, 223, 228?
235
What is the next term in -27, -32, -37, -42?
-47
What is the next term in -80, -312, -698, -1238, -1932, -2780, -3782?
-4938
What is next in -27, -137, -319, -573, -899, -1297, -1767?
-2309
What comes next: 90, 85, 56, -9, -122, -295, -540, -869?
-1294
What is the next term in -313, -620, -927, -1234?
-1541
What is next in -43, -53, -69, -91, -119, -153?
-193
What is next in 2559, 5083, 7593, 10083, 12547, 14979, 17373, 19723?
22023
What is next in -74, -149, -224, -299, -374, -449?
-524
What is the next term in -119202, -119203, -119204?
-119205
What is the next term in -98, -96, -94, -92, -90, -88?
-86
What is next in 15, 34, 63, 108, 175, 270, 399, 568?
783
What is next in 50, 28, 6?
-16
What is next in 0, 12, 44, 108, 216, 380, 612, 924?
1328
What is next in 1187, 1181, 1171, 1157, 1139, 1117, 1091?
1061
What is next in -245, -272, -313, -374, -461, -580?
-737
What is the next term in 767, 763, 755, 743?
727
What comes next: 332, 705, 1066, 1409, 1728, 2017, 2270, 2481?
2644
What is the next term in 135, 254, 339, 372, 335, 210?
-21
What is next in 12143, 12141, 12139, 12137, 12135?
12133
What is next in -2354, -2352, -2350, -2348, -2346, -2344?
-2342
What is next in 65, 78, 91?
104
What is next in -20, -26, -34, -44?
-56
What comes next: 17, 36, 83, 170, 309?
512
What comes next: 19, 32, 43, 52?
59
What comes next: 533, 534, 535, 536, 537, 538?
539
What comes next: 37, 134, 295, 520?
809
What is next in 5660, 5661, 5662, 5663?
5664
What is the next term in 669, 1340, 2011?
2682
What is the next term in 21, 76, 167, 294, 457, 656, 891?
1162
What is next in 23, 40, 57, 74, 91, 108?
125
What is the next term in -3079, -3080, -3081, -3082?
-3083
What comes next: -4907, -4909, -4911?
-4913
What is next in -1381, -1366, -1341, -1306, -1261, -1206?
-1141
What comes next: -132, -134, -136, -138, -140, -142?
-144
What is the next term in -186, -373, -560?
-747
What is next in -325, -330, -345, -376, -429?
-510
What is next in 79, 169, 273, 397, 547, 729, 949, 1213?
1527
What comes next: -97, -246, -493, -838?
-1281
What comes next: -19, -56, -139, -286, -515, -844, -1291, -1874?
-2611
What comes next: 652, 649, 644, 637?
628
What comes n
|
{
"pile_set_name": "DM Mathematics"
}
|
be r(0). Let t(f) = f**2 - 7*f + 12. Let s be t(z). Give a(s).
-7
Let h(n) = -8*n**3 - n**2 - n. Let o be 60/90*(1 - 22/4) - -5. Calculate h(o).
-70
Let q be (-1 + 34/10)*(-19)/((-2090)/275). Let z(y) = -y**2 + 5*y - 14. Calculate z(q).
-20
Let i(j) = 334*j - 7359. Let z be i(22). Let q(y) = y**3 + 8*y**2 - 26*y - 13. Calculate q(z).
-90
Let l(z) = -12*z + 463. Let c be l(39). Let v(x) = x**2 + 6*x - 16. Determine v(c).
-21
Let u = 14253 - 14257. Let j(s) = -3*s**2 + 9*s - 8. What is j(u)?
-92
Let l(k) = -k + 11. Let j(m) = -18*m + 132. Let w be j(0). Let t = w - 126. Calculate l(t).
5
Let j = 4330 + -4320. Let m(v) = v**3 - 10*v**2 + 6*v - 14. Calculate m(j).
46
Let b(v) = -1796*v + 1810*v - 263 + 473. What is b(-15)?
0
Let d(p) = p**2 - 16*p + 13. Suppose 12*v = 14*v - 292. Suppose 18*u = v + 88. Give d(u).
-26
Let v(r) = 26*r + 54. Let g(s) = -97*s - 215. Let b(z) = 3*g(z) + 11*v(z). Give b(-13).
14
Let h(b) be the second derivative of -b**4/3 + 5*b**3/6 + b**2/2 + 5*b - 44. What is h(5)?
-74
Let h(z) = 29*z - 608. Suppose -974 = 702*q - 1669 - 14047. Calculate h(q).
1
Let l(s) = -s**2 - 74*s - 1004. Let n be l(-56). Let c(i) = -2*i - 2 - 11*i + 17*i. Calculate c(n).
14
Let i(t) = -5*t - 3. Let o(y) = -y - 1 - 1 - 3 + 4. Let m(x) = -x**3 - 6*x**2 - 3*x - 20. Let l be m(-6). Let j(d) = l*i(d) + 9*o(d). What is j(5)?
2
Let w(u) = u**3 + 5*u**2 + 4*u + 2. Let c = 2405 + -2337. Let k(v) = -9*v**3 + v**2 - v - 1. Let g be k(2). Let a = g + c. Calculate w(a).
8
Let i be (-21)/(-14)*-16*-4. Let a = -97 + i. Let u(x) = -x. Determine u(a).
1
Let t = 1306 - 1314. Let r(h) = 4*h**2 - 33*h - 18. Let b(u) = u**2 - 11*u - 6. Let i(n) = -7*b(n) + 2*r(n). Give i(t).
-18
Suppose 12*a - 2*a - 120 = 0. Let g(y) = -y**2 + 13*y - 7. Let r be g(a). Suppose 4*i - r*l + 13 = 0, -2*i + 3*l - 14 = -l. Let s(d) = 4*d + 3. Determine s(i).
15
Let f(n) = n**3 - 6*n + 5*n**2 - 3*n**2 + 4*n**2 + 15. Let l = -238909 - -238902. Determine f(l).
8
Let b = 1907 - 1903. Let r(o) = o**2 - 3*o. Give r(b).
4
Suppose -m = -37 + 17. Suppose -5 = -21*f + m*f. Let x(o) = o**2 - 10*o. Calculate x(f).
-25
Let z(b) = 2*b**2 - 4*b + 4. Suppose 3*g - 40 = -34. Suppose g*n + 3*n - 15 = 0, 0 = 4*y - n - 9. Calculate z(y).
10
Let j(m) be the third derivative of -m**7/5040 + 71*m**5/60 + m**3/3 - 32*m**2 + 3. Let z(y) be the third derivative of j(y). What is z(-4)?
4
Let n(c) be the first derivative of -c**4/6 + c**3/2 + 2*c**2 + 77*c - 269. Let l(x) be the first derivative of n(x). Determine l(3).
-5
Suppose -2*m - 3 + 8 = x, -4*x - 2 = -3*m. Suppose m*f + 3*t - 30 = 0, -f + 3*f - 5*t = -2. Let q(v) = 46 + 55 + v + 49 + 0*v + 59 - 227. What is q(f)?
-9
Let x(n) = 2*n**3 - 23*n**2 - 9*n - 13. Let s = 433 + -421. What is x(s)?
23
Let q(j) be the third derivative of -j**6/120 + j**5/12 + 5*j**4/24 + j**3 - 5*j**2 + 24*j + 5. Give q(-3).
63
Let m be -1*(-16)/(-2) + 17. Let d(c) = m*c - 1136*c**2 - 1141*c**2 + 4 + 1 - c**3 + 2284*c**2. What is d(8)?
13
Let z(o) = o**3 + 4*o**2 - 3*o - 10. Let r be 6/15*5 - 2 - (1 + 4). What is z(r)?
-20
Let z(m) = -17*m + 14. Let d(l) = -l**3 - 5*l**2 + 4*l - 17. Let n be d(-6). Let o(s) = -28*s + 27. Let b(t) = n*z(t) + 3*o(t). Calculate b(-8).
3
Let m be 4/(-8)*8/6*3. Let b(q) = -2 - 7 + 18 - 6 + 5*q. Give b(m).
-7
Let l be ((-60)/(-18) + -3)*9. Let b = 7 + -5. Let w(p) = -17*p**l + 30*p**2 - 30*p**2 + 1 + b*p. What is w(-1)?
16
Let h(s) = 469*s - 1. Let f(x) = -657*x + 2. Let l(a) = -5*f(a) - 7*h(a). What is l(-6)?
-15
Let g(p) = -3*p**2 + 7*p - 5. Suppose 0 = -8*f - 462 - 338. Let n = 105 + f. What is g(n)?
-45
Let f(y) be the first derivative of y**4/4 + 4*y**3/3 - y**2 - 2*y - 2. Let l be 24/28 - 1 - (-62)/(-7). Let m(d) = 4*d + 32. Let s be m(l). Determine f(s).
6
Let d(n) = -6*n + 256. Let o(q) = 3*q - 261. Let r(b) = -3*d(b) - 2*o(b). Determine r(21).
6
Let k(m) = 4*m - 85. Suppose -2817*l = -2827*l + 220. Determine k(l).
3
Let m(z) = 4*z - 26. Suppose 5*u + 6*h = 41, 33*u - h = 36*u - 22. Calculate m(u).
2
Let k be -1*(1 - 2) - -2. Let q(w) = 4*w - 1. Let b(j) = j + 1. Let i be (-2)/(-6) - (-11 - 259/(-21)). Let f(s) = i*q(s) + 3*b(s). What is f(k)?
1
Let j(v) be the second derivative of v**5/15 - v**4/8 + v**3/6 - 6*v**2 + 25*v. Let x(f) be the second derivative of j(f). What is x(3)?
21
Let t(g) be the second derivative of -3*g**5/20 + g**4/12 + g**3/3 - g**2/2 - 1277*g. What is t(2)?
-17
Suppose 4*m + 2*x = 26, 13 - 8 = m - x. Suppose m*s - 462 = -444. Let y(o) = -o + 6. Give y(s).
3
Let f(x) = x**3 + 10*x**2 + 10*x + 13. Let i(o) = o**3 - 34*o**2 + 9*o + 116. Let t be i(34). Let u = t - 431. Determine f(u).
4
Let u(r) be the first derivative of r**4 - 2*r**3/3 + 7*r**2/2 - 17*r - 3552. Calculate u(2).
21
Suppose 581*w - 541*w = -320. Let n(g) = g**2 + 8*g + 17. What is n(w)?
17
Let i(g) = -33*g + 28*g**2 - 32*g**2 + 10 + 6*g**2. Give i(15).
-35
Let x be -33 + 24 - (7 + -18). Let z(d) = 5*d**2 - 11*d - 6. Determine z(x).
-8
Suppose -2205*g + 2211*g = 0. Let x(l) be the second derivative of l + g + 4*l**2 - 1/6*l**3 - 1/12*l**4. Calculate x(0).
8
Let x(f) = 4*f - 51. Let u(g) = g + 17 - 36*g + 34*g. Let v(s) = 7*u(s) + 2*x(s). Determine v(-10).
7
Let y(k) = -k**3 - k**2 + k - 18. Let x(t) = 6*t**3 - 4*t**2 - 10*t + 192. Let s(h) = -x(h) - 7*y(h). What is s(-10)?
4
Let y(n) be the third derivative of -n**7/1260 - n**6/180 - n**5/30 - n**4/24 - 94*n**2 - 2*n. Let v(p) be the third derivative of y(p). Calculate v(-4).
12
Suppose 2*p + 6*h - h = 62, 0 = -3*p - 3*h + 93. Let m(o) = -3*o - p + 4*o + 28 + o. Let g be (-3)/1*1 - 2. Determine m(g).
-13
Let m(r) = -52*r**2 - 13*r + 2. Let q(y) = 25*y**2 + 7*y - 1. Let v(l) = -4*m(l) - 7*q(l). What is v(2)?
137
Let y be (-174)/116*(1 - (-55)/(-45)). Let r(n) be the third derivative of 1/10*n**5 - 26*n**2 + n**3 - y*n**4 + 0 + 0*n + 1/120*n**6. Determine r(-7).
13
Let i be 4*3/(-4)*-9. Suppose 2*n - 9 = i. Suppose 2 = -4*x + n. Let z(o) = o**3 - 4*o**2 + 3*o - 5. Calculate z(x).
7
Let j(u) be the second derivative of -11 - 2*u - 2/3*u**3 - 5/2*u**2 + 1/12*u**4. Calculate j(-2).
7
Let s(o) = o**2 + 3*o - 61. Let n be (-1715)/(-686)*(1 + (-4 - (2 - 1))). What is s(n)?
9
Let h(q) = 49*q**2 - q. Let p be h(1). Suppose -264 = -212*y + 206*y. Let k(j) = -p*j - y*j + 86*j. Determine k(3).
-18
Let n be -1 + (-6)/(1 + 1). Suppose -3*q - 3*h - 2*h = -125, 129 = 3*q + 3*h. Let y(d) = 4*d - 43 - q + 83 - 3*d. Calculate y(n).
-9
Let b(g) = 6*g**3 - 47*g**2 - 11*g + 24. Let m(c) = 5*c**3 - 40*c**2 - 12*c + 24. Let i(p) = -4*b(p) + 5*m(p). Calculate i(13).
-15
Let k(a) = -a**3 + 18*a**2 - 2. Let v be k(18). Let o be 22 + -1 + (v - -4). Let p(m) = -o*m**2 + 47*m**2 - 9 - 30*m**2 - m**3 + 6*m. Determine p(-7).
-2
Let c(v) = 1 + 3*v**3 + 74*v**2 - 74*v**2 - 8*v**3. Let a = -625 - -627. What is c(a)?
-39
Suppose 2*d - 25 + 1 = -4*f, 4*d = -f + 20. Let t(u) = 3*u**3 + 6*u**2 + 9*u + 20. Let p be t(-2). Let h(o) = -18*o**p + 1 + 19*o**2 - 3*o - f. What is h(3)?
-3
Let f(w) be the second derivative of -w**4/12 - 3*w**3/2 - 2*w**2 - 2051*w. What is f(-4)?
16
Let b(x) = x**3 + 5*x**2 - x. Let m = 240 - 219. Suppose m + 54 = -15*g. What is b(g)?
5
Let i(o) = o**3 - 18*o**2 + 58*o - 17. Let t be 264/20 + 4/5. Give i(t).
11
Let p = -239 - -239. Let i(q) = 0*q + 7 + p*q + 5*q - 3*q. Give i(-8).
-9
Let l(v) = 7*v**3 + 7*v**2 - 11*v - 3. Let d(c) = -18*c**3 - 21*c**2 + 32*c + 9. Let i(q) = 3*d(q) + 8*l(q). What is i(2)?
7
Let h(l) = -2152*l**3 + 25*l - 12 - 11*l**2 + 0*l + 2153*l**3. Calculate h(8).
-4
Suppose 4*v + 24 = d, 17*d - 12 = 2*v + 13*d. Let u(o) = o**3 + 9*o**2 + 15*o - 16. Give u(v).
2
Let p(n) be the second derivative of 4*n + 1/2*n**3 + 3*n**2 - 2. Give p(5).
21
Let c = 9 - 0. Let f(o) = -51*o + 8*o**2 + o**3 + 5 + 116*o - 57*o - 2*o**3 - 3. Calculate f(c).
-7
Let i(v) = 2*v - 28. Let n = 5153 + -5145. Give i(n).
-12
Let s(r) = -r**3 + 8*r**2 - 6*r - 2. Suppose 2 = j - 0. Let m(o) = -o**2 + 10*o + 3. Let n be m(9). Let i be (-28)/j*(66/n)/(-11). Calculate s(i).
5
Let z(a) be the first derivative of -a**4/4 - 2*a**3 + 17*a**2/2 + 6*a + 3358. Determine z(-9).
96
Let t(b) = 5*b + 0*b + 30 + 4*b - 9 + 5*b. Give t(-5).
-49
Let y(u) = 10*u. Let m = -35 - 284. Let g = 321 + m. Determine y(g).
20
Let r(g) = 2*g**2 + 10*g - 3. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
et y = -1 - -1.3. Let x = -327377/75 - -4365. Sort 5, x, y.
x, y, 5
Suppose -185*r + 197*r = 0. Sort r, 5, 0.5 in descending order.
5, 0.5, r
Let h = -42.96 - -43. Let p = -10.96 - h. Sort -5, -2, p.
p, -5, -2
Let u = 18 + -18. Suppose -19 = -2*o - 23. Sort -4, u, -5, o.
-5, -4, o, u
Suppose 2*w + 6 = -0*w. Let c be -5 - -2 - (-169 + -2). Let t be c/28 - 1*5. Sort w, t, 0.
w, 0, t
Let m = -2 - -3. Let c = -740 - -739. Sort c, -3, m in decreasing order.
m, c, -3
Let d = 0 - 0. Let x = -3018 + 3023. Put x, d, -2, 4 in ascending order.
-2, d, 4, x
Let i be -1 + -2 + (-48)/(-4). Let y be (-225)/35 - i/(-21). Let v = 8 + y. Put 5, -5, v in decreasing order.
5, v, -5
Let n be 32/(-48)*(-1)/(-3). Let q be (-2)/(-7) + 16/42. Let j = -1.9 - 1.1. Sort j, n, q in increasing order.
j, n, q
Let u = 64 - 38. Suppose -8*a + u = 10. Suppose -2 + 11 = -3*m. Put a, m, -1 in ascending order.
m, -1, a
Let h = -29/20 + 5/4. Let g = 7.373 + -7.673. Sort h, -2, g.
-2, g, h
Let t be ((-9)/(-18))/(3/18). Suppose -5*o + t*d + 37 = 0, -o - 2*o + 27 = -3*d. Sort 2, o, -2.
-2, 2, o
Let c = -797 - -801. Sort 0.002, 0.4, c in ascending order.
0.002, 0.4, c
Suppose -5*y + 5*l - 40 = 0, -4*y - 36 = -0*y - 5*l. Let g be 2/(-10) - -1*80/25. Sort y, g, -41 in descending order.
g, y, -41
Suppose -20*c = -24*c - 1676. Sort -4, c, 2 in decreasing order.
2, -4, c
Let a(m) = 6*m - 32. Let y be a(6). Sort -1, -8, y in descending order.
y, -1, -8
Let r = 3129 - 3125. Let n = -0.3 - -0.3. Let o = n + 0. Put o, -3/2, r in ascending order.
-3/2, o, r
Let t = 1617.6 - 1618. Sort t, -172, -4/7.
-172, -4/7, t
Suppose 19*p = 16*p + 2*t + 5, 3*p + 2*t = 13. Put -3, p, 6 in descending order.
6, p, -3
Let t = -151.9 + 152. Let h = -0.14 + 0.1. Let o = t + h. Sort o, -1, -2.
-2, -1, o
Suppose 0 = -3*m - 12 - 0. Let g be (-3)/(-4 - 166/(-40)). Put 0, g, m in descending order.
0, m, g
Let y(o) = o**2 - 2. Let w be y(-2). Let n = -7 - -12. Let x = n + -9. Sort -2/9, x, w in decreasing order.
w, -2/9, x
Let n = -3 + 5. Let c be 153/45 - 6/45*3. Sort -2, -6, c, n in descending order.
c, n, -2, -6
Let o = -38/13 - -368/117. Let s = 22.1 - -35.5. Let i = -58 + s. Sort i, -1, o in decreasing order.
o, i, -1
Let h(d) = d**3 - 6*d**2. Let y be h(6). Suppose y = -5*l - 2 + 7. Sort 2, -2, l.
-2, l, 2
Suppose -2*v + 15 = -5*v. Let y be 4/(-1) + (-7 + 34)/3. Sort y, v, 1.
v, 1, y
Suppose -69 = 10*q - 9. Put -1, q, -7 in descending order.
-1, q, -7
Let w be ((-225)/(-24))/(-5) + 0. Let j = 3493.9 - 3494. Sort w, -2/5, j, -4 in increasing order.
-4, w, -2/5, j
Let w = -22 - -26. Suppose 0 = -2*f + k + 8, 4*k - 7 = -w*f + 9. Sort 0, -2, 5, f in increasing order.
-2, 0, f, 5
Let g = -0.99 - -1. Let x = g + -0.81. Let l = x - 0.2. Sort l, 3, 4 in increasing order.
l, 3, 4
Let v = -917/2 + 458. Sort 0.02, v, -11.
-11, v, 0.02
Let t = 0.719 - 0.419. Sort t, -2/7, 5.
-2/7, t, 5
Let g(a) = 3*a**3 + a**2 - 12*a. Let o(w) = 10*w**3 + 4*w**2 - 36*w - 1. Let q(y) = 7*g(y) - 2*o(y). Let n be q(-3). Sort 3, 19, n.
n, 3, 19
Let d be 2*-1*-2 - -1. Let p = 10.1 + -12. Let y = p + -0.1. Sort d, 0.2, y in descending order.
d, 0.2, y
Let p(s) = s - 4. Let d be p(4). Suppose -5*z + 35 = -5*b - 0*z, d = -4*b + z - 40. Let w = b - -10. Put 5, w, -5 in decreasing order.
5, w, -5
Suppose 5*g - u = -2*u + 1, -g = 4*u - 4. Suppose t + 4 - 1 = 0. Let x be (-8)/(-3) + (-1)/t. Sort g, x, 1 in increasing order.
g, 1, x
Suppose -5*r - 18 = 27. Let u be ((-2)/3)/(2/(-3)). Sort u, r, 2.
r, u, 2
Let z = 0.3 + -2.3. Let w = 1.7 + z. Let p = 1248/7 - 178. Sort w, -4, p.
-4, w, p
Let u be (5 - (-55)/(-35)) + -3. Let l = 5/2 - 13/4. Let z = -107 + 534/5. Sort l, z, u.
l, z, u
Let k(g) = -6*g - 3. Let y be k(-4). Let c = -34 + y. Let d(q) = -q**3 - 14*q**2 - 14*q - 15. Let s be d(c). Put 4, -4, s in increasing order.
-4, s, 4
Let v = 0.88 - 33.88. Let k = v - -32.97. Sort 0.5, 0.2, k, 1/9 in decreasing order.
0.5, 0.2, 1/9, k
Suppose -12*w + 7*w = 5*s - 90, -3*s - 98 = -5*w. Sort w, 3, 0.1 in descending order.
w, 3, 0.1
Let u = 398.4 - 398. Put u, 3, 1/7, -0.09 in increasing order.
-0.09, 1/7, u, 3
Let s = 1.332 - -7.668. Sort s, -5/2, -0.4 in decreasing order.
s, -0.4, -5/2
Let s(t) be the second derivative of t**5/20 + 3*t**4/4 + 7*t**3/6 - 2*t**2 + 7*t. Let f be s(-8). Put f, 2/3, -4 in decreasing order.
f, 2/3, -4
Let r = 0.19 + 0.01. Let b = -80.6 + 74. Let m = b + 7. Sort 4, m, r.
r, m, 4
Let z be (2/(-35))/(1/(-5)). Let s be 1*(22*2)/(-4). Let c = s - -6. Sort z, -1, c in ascending order.
c, -1, z
Let o = -467.8 + 468. Sort o, 4, -3/14 in decreasing order.
4, o, -3/14
Suppose z - 6 = -5*n, 0 = -4*z + z - 12. Let a = 0.04 - -0.46. Put n, 1/3, -4, a in decreasing order.
n, a, 1/3, -4
Let s be 27/18*((-12)/81)/1. Suppose -8*h + 3*h = 15, 5*a + 37 = -4*h. Sort a, 0.3, -1, s in descending order.
0.3, s, -1, a
Let x be 20/(-171) - (-36)/162. Sort -0.4, x, -6/31 in decreasing order.
x, -6/31, -0.4
Suppose 4 = -m - q, 17*q = -4*m + 18*q - 11. Sort m, 2, 123, 3 in descending order.
123, 3, 2, m
Let c(y) = -3*y**2 - 67*y + 67. Let b be c(1). Put 3, 4, b, 7 in decreasing order.
7, 4, 3, b
Suppose 3*g - z + 3 = 2, -4 = 2*z. Sort -4, -2, 0, g in decreasing order.
0, g, -2, -4
Let w = -347 - -340. Sort 1, -4, w in descending order.
1, -4, w
Let h = 8 + -3. Let y(a) = a**3 - 5*a**2 - a - 1. Let m be y(h). Let c be 2/m*48/(-40). Sort -0.04, c, 0 in ascending order.
-0.04, 0, c
Let l = 149 - 148.99. Sort -3, 0.4, l.
-3, l, 0.4
Let x = 493 + -489. Sort 0.2, x, 1, -13 in decreasing order.
x, 1, 0.2, -13
Let f(v) = -2*v - 4. Let r be 4/(-5)*(-20)/(-8). Let p be f(r). Let g be (-4)/1 - (-3 + p). Put 3, 0, g in descending order.
3, 0, g
Let b = 1.021 - -0.079. Sort 0, b, 1/3 in descending order.
b, 1/3, 0
Let b = 35.5 + -46. Let u = 335 + -324. Let l = u + b. Put -0.1, 0.2, l in decreasing order.
l, 0.2, -0.1
Let v = -80 - -81. Sort 0.4, 3, v in descending order.
3, v, 0.4
Suppose -44 = -5*b + 2*y - 16, -3*y = b + 8. Let r be (-16)/((-192)/90)*1*8/(-10). Put r, -5, -0.2, b in decreasing order.
b, -0.2, -5, r
Let j(h) = h**2 + 4*h + 3. Let q be j(-3). Let a be ((-18)/(-27))/(4/18). Suppose -3*c + 24 = a*p, 3*p = 2*c - 0*c + 9. Sort -3, q, p in descending order.
p, q, -3
Let x = 151 - 79. Let s be 4/(-10)*(-30)/x. Put 0.2, 0.09, s in decreasing order.
0.2, s, 0.09
Let b = -98 - -60. Sort 2/5, 0, b, 0.3.
b, 0, 0.3, 2/5
Let x = 1 + -0.9. Let z = -3150.034 - -3154. Let j = z + 0.034. Put -0.5, x, j in ascending order.
-0.5, x, j
Let b = 2 + 4. Let j be b/(-10) + 24/(-60). Let y = 96 - 478/5. Sort -3, y, j in decreasing order.
y, j, -3
Let f be (-3)/6 + -5 + (-10 - -15). Sort f, 2, -14/87 in decreasing order.
2, -14/87, f
Let v be (2 - 0)/((-1)/(-23)). Suppose -7*z + 3*z + 36 = -3*a, 4*a + v = 5*z. Sort 5, -5, z in increasing order.
-5, 5, z
Suppose -14*f + 9 + 19 = 0. Sort 3, -3, -5, f.
-5, -3, f, 3
Let h = 0.091 - 0.191. Let l = -0.2 - 0. Sort 1/2, l, h in descending order.
1/2, h, l
Let m = -54 + 57. Let i = 4327/13 - 333. Sort m, i, 4.
i, m, 4
Let u = 34 - 42. Let l be 6*14/u*2/(-7). Put 2, 0, l, 1 in ascending order.
0, 1, 2, l
Let v = -52 - -30. Let d = 678 + -681. Sort d, v, 0 in ascending order.
v, d, 0
Let q be (-280)/49 - (1 + -7). Let n = 4.12 + 0.08. Let u = n + -0.2. Sort q, u, 3/4 in increasing order.
q, 3/4, u
Let z = 5.04 - 0.04. Suppose 0 = 2*m + 6 - 14. Put m, -2, z in descending order.
z, m, -2
Let v be 9 - 1*(-4 - -3). Put v, 1, -5 in descending order.
v, 1, -5
Let x be 4/(-60)*-6*5. Suppose 6 = 2*n + 6*t - 2*t, -3*n = -x*t + 23. Sort 1, n, -20 in decreasing order.
1, n, -20
Let c(g) = -g**2 - 9*g - 1. Let l be c(-12). Let y = 39 + l. Suppose 3*q - 8*q = -3*z - 10, 4*q + 4 = 0. Sort y, -3, z in descending order.
y, -3, z
Let u = -1.5 - 0.5. Let g = 11 - 20. Let f = g - -8.6. Put u, 0.4, f in ascending order.
u, f, 0.4
Let a be 10/55 - 28/33. Let r = -0.02 + -1.98. Let p be ((-3)/6)/(3/(-30)). Sort p, a, r.
r, a, p
Let r = -22 - -21.81. Let s = r + 0.49. Sort 0.4, 0.1, s in ascending order.
0.1, s, 0.4
Suppose -3*r - 3 = i, 0*i = i. Let c be ((r + (-4)/1)*1)/(-1). Put -4, c, 11 in descending order.
11, c, -4
Let a = 100 + -92. Let l = 6 - a. Put -4, l, 7 in decreasing order.
7, l, -4
Suppose -45 = -5*g + 4*b, 3*g - 4*b - 17 - 2 = 0. Let k = -9 + g
|
{
"pile_set_name": "DM Mathematics"
}
|
1. Let k be z(1). Let m = k + 25. What is the greatest common factor of m and 5?
5
Suppose -4*z = 2*a - 48, -7*z - 5*a + 54 = -3*z. Let s = 227 + -128. What is the highest common factor of z and s?
11
Let g(b) = b + 11. Let w be g(0). Let o = 21 - w. What is the highest common factor of o and 20?
10
Let k(f) = 82*f**2 - 3*f - 2. Let b be k(2). What is the highest common factor of b and 128?
64
Let a be (1080/(-84))/((-3)/14). Calculate the greatest common divisor of a and 6.
6
Let j be 4/(-18) - 706/(-18). Let g be 55/4 - 24/32. What is the highest common factor of g and j?
13
Let w = -85 - -127. Let v = -43 + 106. What is the highest common factor of w and v?
21
Suppose 3*d - 4*d = 0. Suppose d = 8*g - 6*g - 18. What is the highest common divisor of g and 27?
9
Suppose -5*t + t = -5*x - 275, -t + x + 69 = 0. Suppose 2*y - 84 - t = 0. What is the highest common divisor of 11 and y?
11
Let p be 25/(-100) + (-370)/(-8). Calculate the greatest common factor of p and 23.
23
Let h = -7 - -9. Suppose -h*i + 24 = -0*i. Suppose 0 = -3*a + i - 0. What is the highest common divisor of a and 4?
4
Suppose -x = -5*x + 96. Let g = 107 - -85. Calculate the highest common factor of g and x.
24
Let y(i) = 42*i + 58. Let g be y(7). Calculate the highest common factor of g and 32.
32
Let b(n) = -n. Let v(h) = -14*h - 1. Let o(z) = -6*b(z) + 2*v(z). Suppose m = 3*m + 6. Let g be o(m). What is the greatest common factor of 8 and g?
8
Suppose 3*l + 9 = 42. What is the highest common divisor of l and 44?
11
Let k be (-98)/(-21) - 2/(-6). Suppose -3*c - k*p = -59, -4*c + 2*p + 62 = -8. Let x be ((-12)/21)/(4/(-14)). Calculate the highest common factor of c and x.
2
Let b(i) = 7*i**2 - i. Let r be b(1). Suppose 3*o = 3*t - 78, -5*o - 11 = -1. Calculate the greatest common factor of r and t.
6
Let o(c) = c**2 + c**3 + c**2 - c - 2*c + 3 + 3*c**2. Let p be o(-3). What is the highest common divisor of p and 75?
15
Suppose -2*w + 5*x = -27, -3*x + x - 13 = -3*w. What is the highest common factor of 11 and w?
1
Let a(w) = -w**3 + 7*w**2 - 7*w. Let j be a(6). Let d be (-3 - 0)*22/j. Let b be 3840/35 + (-6)/(-21). What is the highest common factor of b and d?
11
Let n be -1*3/(-3) - -1. Suppose 0 = k - n*k + 12. What is the greatest common factor of k and 8?
4
Let o be ((-36)/15)/4*-5. Calculate the greatest common factor of o and 3.
3
Let y = 0 - -9. Let i be ((-2)/1 - y)/(-1). Let o = -113 - -168. Calculate the highest common divisor of o and i.
11
Suppose -2*n + 4 = -3*s, 2*n + n - 40 = -4*s. Suppose -39 = -3*h + 33. What is the greatest common divisor of n and h?
8
Let h be 1/((-26)/(-25) + -1). Let a(t) = -t**3 + 8*t**2 - 8*t + 9. Let b be a(7). Suppose -3*q = b*q - 25. What is the highest common divisor of q and h?
5
Let d be -6 + 9 + -1*2. Calculate the highest common factor of 9 and d.
1
Suppose -t + 122 = 2*t + a, 5*t + a - 204 = 0. What is the highest common factor of t and 123?
41
Let z = -7 + 13. Let x = z + -10. Let o be (-150)/(x/2) - 3. Calculate the greatest common factor of o and 9.
9
Let w = -269 - -377. What is the greatest common factor of w and 12?
12
Let z(y) = y**2 + 2*y - 7. Let j be z(-6). What is the highest common divisor of 68 and j?
17
Suppose 0 = 2*h + 5*f + 15, 5*f = 2*h + f - 12. Suppose 4*r - 2*g + 0*g - 126 = h, g - 129 = -4*r. What is the highest common factor of r and 4?
4
Let z = -4 - -6. Let s be z*(-1)/2*-9. Let t = 15 + 57. Calculate the greatest common factor of s and t.
9
Let f(t) = 2*t - 8. Let a(q) = -3*q + 16. Let n(s) = -3*a(s) - 5*f(s). Let h be n(-11). Calculate the greatest common factor of 30 and h.
3
Let s(d) = 11*d + 4. Let k be s(2). Suppose -4*a + 5*h + 63 = 0, -k = -4*a - 5*h + 47. What is the greatest common factor of 153 and a?
17
Let y be -3*(-3 + (3 - 1)). Suppose -60 = -b - 5*a, 5*b - 120 = -y*a + 92. Calculate the greatest common factor of b and 5.
5
Let m = -7 + 10. Let t(x) = m*x - x**2 + 5 - 3*x + 7. Let l be t(0). What is the highest common factor of 6 and l?
6
Suppose 0 = -4*v - 129 - 51. Let r = -25 - v. What is the highest common factor of 180 and r?
20
Let j(s) = 3*s - 7. Let u be j(6). Suppose 4*h = 138 + 170. Calculate the highest common divisor of h and u.
11
Let q be 236/6 - 14/(-21). Calculate the highest common factor of 20 and q.
20
Let t = -24 - -120. Suppose 3*v = -2*v + 60. Calculate the highest common factor of v and t.
12
Suppose 5*l = 49 - 4. Suppose 5*s - 4*s - 45 = 0. Calculate the highest common factor of s and l.
9
Suppose -9*b + 339 - 96 = 0. Suppose -2*o = o - 15. Suppose 18 = -4*t + o*t. What is the greatest common factor of t and b?
9
Let f(k) = 17*k - 2. Let d be f(4). Suppose 4*w = -4*c + 40, 3*w + c + 4*c = 38. Calculate the greatest common divisor of d and w.
6
Suppose 0 = p - 4 + 6, -2*j - 4*p + 172 = 0. What is the greatest common factor of 135 and j?
45
Suppose 0 = -5*j, 0 = -3*g - 2*j + 4 + 80. Let d = -52 - -114. Let n = d - 20. Calculate the greatest common factor of n and g.
14
Suppose 30 + 48 = 5*c - u, -72 = -5*c + 4*u. Suppose -271 + 81 = -3*t - s, -4*t + 2*s = -260. What is the highest common factor of c and t?
16
Let u = 222 + -123. What is the highest common divisor of 11 and u?
11
Let q = 20 + -8. Calculate the greatest common divisor of q and 6.
6
Let k = -21 - -25. Suppose 2*m + 108 = k*m. What is the greatest common factor of 36 and m?
18
Let v be (19/3)/(5/15). Let g = 50 + 26. What is the highest common divisor of v and g?
19
Let w(j) = -j**3 + 6*j**2 + 3*j + 2. Let c be w(6). What is the highest common factor of c and 200?
20
Let v(k) = -k**2 + 8*k + 8. Let l be v(7). Suppose 9 = u - l. Let f(m) = 2*m**2 - m + 2. Let j be f(2). Calculate the highest common factor of j and u.
8
Let q(c) = -2*c**2 - 13*c - 6. Let n be q(-5). What is the greatest common factor of n and 81?
9
Let c(k) = -k - 6. Let z be c(-9). Suppose -z*i + s = -29, -5*i + 49 + 6 = 5*s. What is the highest common factor of 90 and i?
10
Let q(h) = 5*h**2 + h. Let l be q(-1). Suppose 3*y + 86 = 4*k + 7, 0 = -2*k - y + 27. What is the greatest common divisor of k and l?
4
Let q(g) = g**3 + 11*g**2 - 11*g + 17. Let v be q(-12). Suppose -2*a = -v*b + 3*a + 215, 2*a - 40 = -b. Calculate the highest common factor of b and 7.
7
Suppose 2*w - 21 = -w. Let h(j) = 10*j + 15. Let k(r) = -9*r - 14. Let o(i) = 3*h(i) + 4*k(i). Let f be o(-10). What is the highest common divisor of f and w?
7
Let t(p) be the third derivative of p**6/120 + 7*p**5/60 - 7*p**4/24 - 5*p**3/6 + 4*p**2. Let g be t(-7). What is the highest common divisor of g and 4?
4
Let q be -2 + 6/(-2)*-2. Let c be q/(-14) - (-2)/7. Let j be 3 + (-1)/1 - c. Calculate the greatest common divisor of j and 6.
2
Let x = -41 - -125. Calculate the greatest common divisor of 12 and x.
12
Suppose 4*h = -27 + 35. What is the greatest common factor of 6 and h?
2
Let s = -9 + 16. Let g = s - 6. Calculate the highest common factor of 11 and g.
1
Let v(r) = -35*r + 3. Let t(s) = s**2 - 5*s - 3. Suppose 0 = -5*q + 20 + 5. Let u be t(q). Let w be v(u). Calculate the highest common divisor of 12 and w.
12
Suppose -2*t + 7*t = 0. Let b be -171*(t + 2/(-2)). Suppose -4*y + 19 = -3*y. What is the highest common factor of b and y?
19
Let z be (8 - -4)*6/4. Calculate the highest common divisor of z and 27.
9
Suppose 6 = 3*r - 60. Suppose -3*d = -r - 32. What is the highest common divisor of d and 162?
18
Let s be 133/9 + 10/45. Let c be (76/5)/(-2)*-5. Let t = c - -7. Calculate the greatest common factor of t and s.
15
Let g be (-30)/(-40) + (-3)/4. Suppose -2*p - 4 + 0 = g. Let l be (-294)/(-24) + p/8. Calculate the greatest common factor of l and 3.
3
Let o(a) = -44*a**3 + a**2. Let t be o(-1). Calculate the highest common divisor of t and 18.
9
Suppose 0 = 5*t - 0*t - 15. Suppose -t*h = -35 - 313. Let l = -56 + h. What is the highest common divisor of l and 12?
12
Let h = -90 - -210. Suppose -h = k - 5*k. What is the greatest common factor of 15 and k?
15
Let n(q) = -5*q**3 + 2*q**2 + q. Let c be n(2). Let y = c + 66. What is the greatest common factor of 12 and y?
12
Let w(d) = 1 + 2*d - d**3 - 5*d**3 + 2*d**2 + 3*d**3. Let p be w(-1). Let r be (-3)/(2*-3)*p. Calculate the highest common divisor of r and 2.
2
Let d be (-1 - -1)*(-7 - -6). Suppose 3*y - 18 = -d*y
|
{
"pile_set_name": "DM Mathematics"
}
|
Is 10493033 prime?
True
Is 79187669 a composite number?
True
Is 4893491 composite?
False
Is 13224781 a prime number?
False
Is 3732649 a prime number?
True
Is 5048539 a composite number?
True
Is 1367941 a composite number?
True
Is 7512041 composite?
False
Is 296835501 prime?
False
Is 6273271 a composite number?
False
Is 2044697 a composite number?
False
Is 217621 a composite number?
True
Is 17868733 prime?
True
Is 85670719 a prime number?
True
Is 10387079 composite?
False
Is 526993 a prime number?
True
Is 4236779 composite?
False
Is 237398849 prime?
True
Is 5953351 a composite number?
False
Is 66556927 prime?
True
Is 6694463 a composite number?
False
Is 86948371 prime?
True
Is 8705387 a composite number?
True
Is 4884821 composite?
False
Is 25009241 prime?
True
Is 80778479 a composite number?
False
Is 4325851 a prime number?
True
Is 125564719 a composite number?
True
Is 42258197 a composite number?
False
Is 4864843 composite?
False
Is 10322771 composite?
True
Is 339104669 a prime number?
True
Is 6825041 a prime number?
False
Is 38803187 a composite number?
True
Is 38096059 a prime number?
True
Is 35735861 prime?
False
Is 324828417 composite?
True
Is 583530589 composite?
True
Is 15876101 composite?
False
Is 4551031 composite?
True
Is 9411613 prime?
False
Is 5080297 prime?
False
Is 12911677 composite?
True
Is 75590761 prime?
False
Is 2226491 prime?
False
Is 41158777 prime?
False
Is 21641383 composite?
True
Is 4542493 a prime number?
False
Is 2309341 a prime number?
True
Is 417827 a composite number?
True
Is 61822239 composite?
True
Is 386945263 a composite number?
True
Is 1013197 a composite number?
False
Is 356630523 composite?
True
Is 108301 composite?
False
Is 86772841 prime?
False
Is 1625277 a prime number?
False
Is 16311571 composite?
False
Is 86888902 a composite number?
True
Is 2531 a composite number?
False
Is 102104791 composite?
False
Is 81685007 a prime number?
False
Is 49437727 prime?
False
Is 5175239 a prime number?
False
Is 38011 prime?
True
Is 61946065 composite?
True
Is 20342957 a prime number?
True
Is 26493267 a prime number?
False
Is 93653099 composite?
True
Is 239653 a prime number?
False
Is 86352869 a composite number?
False
Is 535193 prime?
True
Is 85848359 a composite number?
False
Is 40571803 prime?
False
Is 3599273 composite?
True
Is 355731097 a composite number?
False
Is 61999261 a prime number?
False
Is 165933577 a prime number?
True
Is 7957463 prime?
True
Is 151521037 composite?
False
Is 67868543 prime?
True
Is 865201 a prime number?
True
Is 6305777 prime?
False
Is 364801 a prime number?
True
Is 13009603 prime?
False
Is 271916285 prime?
False
Is 18397193 composite?
False
Is 46026953 a prime number?
False
Is 232501223 a prime number?
True
Is 668747 prime?
True
Is 6723599 prime?
False
Is 6215777 composite?
True
Is 806473 a prime number?
False
Is 20362271 a prime number?
True
Is 129651913 prime?
True
Is 86342401 a prime number?
False
Is 172553189 a composite number?
False
Is 2178983 prime?
True
Is 170075053 composite?
True
Is 512762149 a prime number?
True
Is 8127109 prime?
False
Is 13867369 a composite number?
False
Is 23312207 a prime number?
False
Is 82660529 a prime number?
False
Is 233716999 a prime number?
False
Is 387297199 prime?
False
Is 12797461 composite?
True
Is 55261421 composite?
False
Is 16098583 a composite number?
False
Is 831023 prime?
True
Is 15869162 a composite number?
True
Is 77478857 prime?
True
Is 249335431 a prime number?
True
Is 11403989 a composite number?
True
Is 12453319 prime?
True
Is 24173171 a composite number?
True
Is 538193913 a prime number?
False
Is 1501193 composite?
False
Is 77007783 a composite number?
True
Is 335558557 composite?
True
Is 585969641 a composite number?
True
Is 122212259 prime?
False
Is 7225661 composite?
False
Is 1075957 prime?
True
Is 446312023 prime?
True
Is 349906201 a prime number?
True
Is 2030392679 composite?
True
Is 12288907 a composite number?
False
Is 37289737 a prime number?
False
Is 9517619 a composite number?
True
Is 1914071 a composite number?
True
Is 486023 prime?
True
Is 232631879 a prime number?
False
Is 36494779 a composite number?
False
Is 14512109 composite?
False
Is 2401871 composite?
False
Is 21286997 composite?
True
Is 1992563 a prime number?
True
Is 59219249 a prime number?
False
Is 109699 a prime number?
False
Is 79654565 a prime number?
False
Is 13321003 a prime number?
True
Is 47808287 a composite number?
False
Is 187702909 a prime number?
True
Is 58893299 composite?
False
Is 25235437 prime?
False
Is 163947791 composite?
True
Is 1687537 a prime number?
False
Is 2182387 a composite number?
False
Is 3601231 a prime number?
False
Is 11379183 a prime number?
False
Is 189049193 composite?
True
Is 30601 a composite number?
True
Is 40884023 a prime number?
True
Is 26213657 a composite number?
False
Is 37065179 a composite number?
True
Is 14317243 a composite number?
True
Is 100968377 composite?
False
Is 2061951 a composite number?
True
Is 4652881 a prime number?
True
Is 89179513 a composite number?
True
Is 40829293 a prime number?
False
Is 8514619 prime?
True
Is 144083 composite?
True
Is 4812991 a composite number?
False
Is 3752459 a prime number?
False
Is 1053179 composite?
False
Is 14421617 composite?
True
Is 24720947 a prime number?
False
Is 555285778 composite?
True
Is 3081457 composite?
True
Is 2055713 composite?
True
Is 3192599 a composite number?
False
Is 46845691 composite?
False
Is 20172913 composite?
True
Is 7332167 prime?
False
Is 7013807 a prime number?
True
Is 109809311 composite?
True
Is 7508843 prime?
True
Is 13355743 prime?
True
Is 3704303 composite?
False
Is 13784993 a composite number?
True
Is 16179277 composite?
False
Is 302023 prime?
False
Is 1879351 a prime number?
True
Is 8064449 a prime number?
True
Is 138691549 a composite number?
True
Is 204379057 a composite number?
True
Is 172368109 composite?
False
Is 179580103 prime?
True
Is 97047187 prime?
False
Is 51883171 composite?
True
Is 151787431 a prime number?
False
Is 4021253 a prime number?
False
Is 6453331 a prime number?
False
Is 2389993 prime?
True
Is 32991617 prime?
True
Is 7391911 a prime number?
True
Is 4659619 a prime number?
True
Is 85258031 a composite number?
False
Is 414816061 composite?
True
Is 2073521 a composite number?
False
Is 4524713 prime?
True
Is 222652387 a composite number?
False
Is 5227514 a prime number?
False
Is 1150579 composite?
False
Is 5297177 prime?
True
Is 49865869 prime?
False
Is 42391103 composite?
True
Is 20219509 a prime number?
True
Is 1530589 a prime number?
True
Is 223999 a prime number?
True
Is 11462921 prime?
True
Is 25727651 a prime number?
True
Is 29510617 prime?
True
Is 6851437 a prime number?
True
Is 647351291 a prime number?
True
Is 81784811 composite?
False
Is 27047687 prime?
True
Is 17198117 a prime number?
False
Is 15467923 composite?
False
Is 6756361 a prime number?
False
Is 189877867 prime?
True
Is 5925383 a composite number?
False
Is 7931129 a prime number?
False
Is 48928987 composite?
False
Is 9755219 a composite number?
True
Is 185729821 a composite number?
False
Is 39248917 a prime number?
True
Is 16904591 composite?
True
Is 3894797 a prime number?
False
Is 6517493 prime?
False
Is 24217051 composite?
True
Is 248229187 composite?
True
Is 1482755 a prime number?
False
Is 3045067 composite?
False
Is 113715803 composite?
False
Is 6245189 a prime number?
True
Is 2691373 prime?
True
Is 498343 prime?
True
Is 8922899 a prime number?
False
Is 8652895 a composite number?
True
Is 102613909 prime?
True
Is 645683839 prime?
True
Is 23710573 prime?
True
Is 799059 prime?
False
Is 1758221 composite?
False
Is 2529829 a composite number?
True
Is 4188991 composite?
False
Is 10756283 a composite number?
False
Is 34962349 a prime number?
False
Is 200758 a prime number?
False
Is 9472487 a prime number?
False
Is 46013627 a composite number?
True
Is 9931343 a composite number?
True
Is 558887 a prime number?
False
Is 3717403 a composite number?
True
Is 22626839 prime?
True
Is 37098883 composite?
True
Is 825971 a composite number?
False
Is 15600979 composite?
True
Is 24768427 a prime number?
True
Is 10969313 prime?
False
Is 9175693 a composite number?
False
Is 130714201 composite?
False
Is 32170123 a composite number?
True
Is 3942431 a prime numbe
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.