text stringlengths 270 8.19k | meta dict |
|---|---|
ns digit of k?
6
Suppose 5*h + 2601 = -2*i + 4*i, -2*h = -5*i + 6555. What is the tens digit of i?
1
Suppose -40 = -6*d - 34. What is the units digit of 87/d + (-1)/2*6?
4
Let l be (80/24)/(4/(-6)). What is the tens digit of (-75)/1*(5 - (-31)/l)?
9
Suppose -4*u = 2*a - 44, -5*a + 58 = 5*u - a. Suppose u*p - 192 = 58. What is the units digit of p?
5
Suppose 3*s - 6*s - 525 = 0. Let p = s - -122. Let l = -31 - p. What is the tens digit of l?
2
Suppose -6396 = -2*i - 2*g, 4*g + 4644 - 1461 = i. What is the tens digit of i?
9
Let q be (-1)/((2/10)/(-1)). Let c = 2 + 54. Suppose 3*j = q*j - c. What is the tens digit of j?
2
What is the hundreds digit of ((-24236)/(-365))/((-4)/(-10))?
1
Let i(p) = -2*p**3 - 70*p**2 - 48*p - 56. What is the tens digit of i(-35)?
2
Let p(a) be the first derivative of -a**4/4 + 2*a**3 + 3*a**2/2 - 3*a - 6. Let u be p(3). Let s = -20 + u. What is the tens digit of s?
1
Suppose -5*a + 3*f + 838 = 5*f, -5*a = 5*f - 835. What is the units digit of a?
8
Let a(v) = -3 + 5*v + 5 + 8*v**3 - 3 - 5*v**3. What is the units digit of a(3)?
5
Suppose 0 = 3*u + 3*n - 912, u - 6*u + 1520 = 4*n. What is the units digit of u?
4
Let y(x) = -11*x - 5. Suppose -3*o + 12 = -6*o. What is the units digit of y(o)?
9
Let x = -1988 + 3112. What is the units digit of x?
4
Let k be (-2)/2*(-5 + (-10)/5). Let c(y) = y**3 - 7*y**2 + 15*y - 5. What is the tens digit of c(k)?
0
Let j(y) = 84*y**2 + 7 - 161*y**2 + 8*y + 79*y**2. What is the units digit of j(4)?
1
Suppose -2*k = 2*r - 1477 - 2849, 0 = 3*r + 4*k - 6486. What is the units digit of r?
6
Suppose 0 = -0*z + 2*z - 182. Let x be 6/(-8)*(-7 + z). What is the tens digit of (5 - 1) + (-16 - x)?
5
Let r(u) = 2*u**2 + 26*u + 191. What is the hundreds digit of r(-17)?
3
Let s(d) = d**2 - 6*d + 5. Let w be s(5). Suppose w = 8*g - 3*g - 455. What is the tens digit of g?
9
Let v(t) = -t**2 + t + 5*t**2 + 4 + 5*t**2 - 1. Let g be v(3). Suppose 34 = -i + g. What is the units digit of i?
3
Let b = -277 + 495. What is the units digit of b?
8
Let r(h) = -14*h + 4*h - h**3 + 13*h**2 - 2*h**2. Let s be r(10). Suppose 3 = 5*p + 2*x - 19, x + 4 = s. What is the units digit of p?
6
Let f(o) = 6*o**2 - 4*o - 6. Let l be f(6). Suppose 5*k = -w - l, -2*k = -w - 28 + 101. Let u = k - -56. What is the units digit of u?
9
Let v(r) = r**3 - 28*r**2 + 51*r + 44. What is the units digit of v(26)?
8
Suppose 7 = 4*w + 55. Let t(h) = h**2 - 4*h - 11. Let c be t(w). Suppose -5*m + 3*o - 19 + c = 0, -5*m = 5*o - 130. What is the tens digit of m?
3
Suppose -7*b = -5*v - 2*b + 5, 0 = -3*v + 5*b + 1. Let x be (-18)/(-4) - v/(-4). Suppose 2*a - 4*c = 26 + 14, -a + x*c = -20. What is the units digit of a?
0
Let t = 12 + -7. Suppose -4*z + 17 = 5*c, 2*z - c = -2 + 7. Suppose -g - t*y = -42, -z*g - y = 2*y - 138. What is the tens digit of g?
4
Suppose 19*s - 10241 = -2090. What is the tens digit of s?
2
Let m = 1366 + -878. What is the tens digit of m?
8
Let j(o) = 2*o**2 - 4*o + 2. What is the units digit of j(15)?
2
Let f(p) = 2*p - 5. Let m be f(3). Let r = 20 - m. Suppose -u + 2*u = r. What is the tens digit of u?
1
Let l be 14 - (3*(-3)/9 - -3). Let o(i) be the second derivative of i**5/20 - i**4 + i**3/6 - i**2 - i. What is the tens digit of o(l)?
1
Let u = 113 + -118. Let i(r) = -29*r + 50. What is the hundreds digit of i(u)?
1
Suppose 99 = 13*j - 18. Suppose -q = 2, -8*q = -2*f - j*q + 296. What is the hundreds digit of f?
1
Let d(b) = -b**3 - 5*b**2 + 6*b + 2. Let o(j) = -j**3 + 5*j**2 + 7*j - 13. Let z be o(6). What is the units digit of d(z)?
8
Let r = -46 - 1. Let k = r + 135. What is the units digit of k?
8
Let u(b) = b - 4. Let a be u(10). Let m(p) = p**2 - 4*p - 7. Let r be m(a). What is the units digit of r*6/15*32?
4
Let y = -4568 - -10356. What is the tens digit of y?
8
Let c(s) = -1510*s + 8. What is the tens digit of c(-1)?
1
Let r = -25 - -19. Let j(h) = 4*h + 13 - 3 - 3*h. What is the units digit of j(r)?
4
Let f(p) = -p**3 - p**2 - 5*p. What is the units digit of f(-2)?
4
Suppose 2*j - 1148 = 3*c, j - 140 = c + 433. What is the units digit of j?
1
Let a(b) = -41*b + 3 - 4 - 6 + 15*b**2 - 2*b**2. What is the tens digit of a(5)?
1
What is the units digit of -2*(-1956)/(-24)*-3?
9
Let w = -5 - -10. Let i(t) = w + t - 3*t**2 - 4 + 4*t**2 + 1. What is the units digit of i(-4)?
4
Let s be 3/((-12)/8 - -3). Suppose -x - 4 = o, 0*x - s = 3*o - 2*x. What is the units digit of o*22*(-12)/16?
3
Let h(r) = r**2 + r - 3. Let s be h(-4). Suppose -s*z + 505 = -4*z. What is the units digit of z?
1
Let z be ((-2)/3)/(8/12). Let o be 2 - (z + -16 + -1). What is the units digit of (o/6)/2*3?
5
Suppose -6*l + 49 = -3*l + 2*t, -l + 12 = 5*t. Let u(b) = -b + 17. Let j be u(l). Suppose j = w + m - 34, -5*w = -5*m - 55 - 95. What is the units digit of w?
2
Suppose 15*a - 8273 = 6037. What is the units digit of a?
4
Let t(v) = 3*v - 9. Suppose -3*p - p = -24. What is the units digit of t(p)?
9
Suppose c = -3*i + 2*i + 31, -i + 28 = 2*c. Suppose 14 = 4*u - i. What is the units digit of (-21 + -1)/((-6)/u)?
4
Suppose 0 = 10*m + 108 - 168. Let t(c) = 35*c**2 + 2*c - 1. Let n be t(1). Suppose -m + 0 = -i - 4*w, 4*w = -4*i + n. What is the units digit of i?
0
Suppose 2*b = b + 5. Suppose 0 = b*x - 268 - 137. What is the tens digit of x?
8
Let h(i) = -3*i - 10. Suppose -3*z + p = 47, -z + 0*p = 5*p + 5. Let s be 1/(-3)*(-3 - z). What is the units digit of h(s)?
2
Suppose 0*h + 2*h - 4 = 0. Suppose r + 13 + 5 = h*g, 12 = 3*r. What is the units digit of g?
1
Let f be 2*2/(-4)*2. Let g = f + 7. Suppose g*l - 3*l - 6 = 0. What is the units digit of l?
3
Let h = 4064 + -2312. What is the hundreds digit of h?
7
Let r = -219 + 360. What is the units digit of r?
1
Suppose 2*g = 6*g - 8. Suppose 2*d + 2*y + 0*y + 272 = 0, -3*d - g*y - 407 = 0. What is the tens digit of (-1*2)/(18/d)?
1
Let i(f) = 4*f**2 - 7*f + 10. Let t be i(-10). Let z be ((-60)/(-16))/(3/t). What is the tens digit of ((-2)/3)/((-16)/z)?
2
Let t(i) = -i**2 - 10*i + 10. Let g = 29 + -25. Suppose a = g*a - 2*q + 16, 20 = -5*q. What is the tens digit of t(a)?
2
Suppose -4*g = -4*x - 6576, g + x - 1749 = -113. What is the hundreds digit of g?
6
Let k(g) = 0 - 9 + 0 + 4*g**2 + 3*g + 0*g**2. What is the tens digit of k(-5)?
7
Let d(c) = -1 - c**3 - 5*c**2 - 3 - 6*c + 5. Let j be d(-5). Suppose 4*q - 115 = -3*s, 2*q + j = 3*q + 3*s. What is the units digit of q?
8
Suppose 5*a - 4*g - 807 = 0, 3*a + g = 3*g + 485. Suppose 3*x - a = 2*f, -5*x = -2*f - f - 273. What is the tens digit of x?
5
Suppose -5*z + x + 4 = 0, z + 3*z - 2*x = 2. Let o(y) = 77*y + 4. Let d be o(3). What is the tens digit of z/(-6) + d/6?
3
Let j = 55 + -27. Suppose j + 36 = 4*u. What is the tens digit of u?
1
Let r be (54/(-36))/(3/(-4)). What is the units digit of r/(-11) - 904/(-11)?
2
Suppose 0 = -3*r + 3*z + 30, 4*r - 2*z - 28 = -4*z. Let b(f) = -3*f + r - 3*f - 2. What is the units digit of b(-5)?
6
Suppose 0 = -52*c + 41393 + 28911. What is the units digit of c?
2
Let w(d) be the first derivative of -d**7/840 + d**6/360 + 65*d**4/24 - 2*d**3 - 4. Let o(n) be the third derivative of w(n). What is the tens digit of o(0)?
6
Let y = 4 + 46. Let o = y - 41. What is the units digit of o?
9
Let g(x) = x**2 - 7*x + 6. Let y be g(6). Suppose y = -4*q + 22 + 14. Suppose -4*h + q = -11. What is the units digit of h?
5
Let a(n) = -n**3 - n**2 + 5*n + 448. What is the hundreds digit of a(0)?
4
What is the units digit of 12/(-20) + 18972/20 + -5?
3
Let s(r) = 2*r - 14. Let z(b) = -b**2 + b - 1. Let n(u) = s(u) - z(u). What is the units digit of n(6)?
9
Suppose -3*a + 16*a = 5317. What is the hundreds digit of a?
4
Suppose -5*j + o - 1 = 0, -4*j - 11 = 5*o + 13. What is the tens digit of (10/5 - 28)*j?
2
Suppose -2*o = 6, 3*o - 26 + 73 = f. What is the units digit of f?
8
Let a(p) be the third derivative of 13*p**6/24 + p**5/60 + p**4/12 - p**3/3 + 92*p**2. Suppose 3*o + 6 = h + 20, 8 = 3*h + o. What is the tens digit of a(h)?
6
Let f = 495 + -237. What is the hundreds digit of f?
2
Suppose 4*m = m - 39. Let z = m - -15. Suppose 3*p = z*p + 75. What is the tens digit of p?
7
Suppose 4 - 15 = i. Let w = 9 + -6. Let q = w - i. What is the tens digit of q?
1
Let g = -16 - -19. Suppose -4*w - g*j + 14 = 0, 4*j - 14 = -3*w - | {
"pile_set_name": "DM Mathematics"
} |
ate j(3).
188
Let o(n) = -29*n**3 - 68*n**2 - 2*n - 12. Determine o(-4).
764
Let z(q) = -3*q**3 + 9*q**2 + 13*q - 19. Determine z(6).
-265
Let w(o) = 2*o**2 + 57*o - 1025. Determine w(17).
522
Let k(d) = 2*d**2 - 295*d + 1011. Give k(140).
-1089
Let v(f) = 6436*f - 12969. Give v(2).
-97
Let x(h) = -14*h**3 - 137*h**2 - 214*h + 116. Determine x(-2).
108
Let i(h) = -h**3 + 20*h**2 + 216*h - 1542. Calculate i(26).
18
Let u(o) = -o**3 + 57*o**2 - 12*o + 2695. What is u(58)?
-1365
Let m(w) = 11*w**2 - 419*w - 1874. Give m(-4).
-22
Let t(o) = -841*o**3 + 14*o**2 - 29*o + 16. What is t(1)?
-840
Let t(z) = 2516*z - 128851. What is t(51)?
-535
Let g(k) = 13*k**3 - 9*k**2 + 34*k + 98. Determine g(-2).
-110
Let s(y) = -2285*y**2 - 6850*y - 4. What is s(-3)?
-19
Let u(f) = 550*f**2 - 20895*f - 186. Determine u(38).
4
Let n(k) = 11*k**3 - 873*k**2 + 319*k - 237. Determine n(79).
0
Let p(h) = -4071*h - 240198. Determine p(-59).
-9
Let k(l) = -9*l**3 + 490*l**2 - 695*l + 320. What is k(53)?
2
Let i(p) = -9*p**3 + 32*p**2 - 124*p + 750. Calculate i(5).
-195
Let t(j) = j**2 - 1129*j + 26687. Calculate t(24).
167
Let c(g) = -64*g**3 + 21*g**2 + 94*g + 57. What is c(-3)?
1692
Let u(x) = 11*x**2 - 1139*x + 468. Give u(104).
988
Let y(q) = 2*q**3 - 133*q**2 - 12849*q + 959. Determine y(120).
-121
Let s(x) = -x**2 + 196*x + 31339. Determine s(-105).
-266
Let m(s) = -99*s**2 + 917*s - 106. Give m(9).
128
Let a(l) = 137*l**2 - 834*l - 87. Calculate a(6).
-159
Let t(l) = 201*l**3 + 1004*l**2 - 33*l - 160. Calculate t(-5).
-20
Let v(n) = 5*n - 18. What is v(5)?
7
Let k(m) = -m**3 - 40*m**2 - 366*m + 280. Calculate k(-24).
-152
Let c(q) = 2*q**2 + 8066*q - 64585. Calculate c(8).
71
Let x(i) = -i**3 + 117*i**2 - 1071*i + 115. Determine x(107).
8
Let s(l) = 137*l**2 - 257*l + 116. Determine s(1).
-4
Let p(z) = -115*z**2 - 18124*z + 120708. Give p(-164).
4
Let v(w) = 7*w**3 - 10*w**2 - 20610*w - 20600. Give v(-1).
-7
Let n(y) = -4*y**3 - 61*y**2 - 2*y - 1859. Calculate n(0).
-1859
Let l(a) = 2028*a - 70173. Calculate l(35).
807
Let d(t) = -10*t**2 + 3455*t + 13678. Give d(349).
1463
Let x(z) = -1044*z + 52126. Determine x(50).
-74
Let m(v) = -6903*v + 158718. Calculate m(23).
-51
Let i(v) = -5331*v - 5192381. What is i(-974)?
13
Let f(d) = -17*d**3 + 18*d**2 - 17*d - 14. Calculate f(-4).
1430
Let j(o) = -o**3 - 61*o**2 - 267*o + 12322. What is j(-51)?
-71
Let a(m) = m**3 - 590*m + 295. Give a(24).
-41
Let q(i) = -i**2 - 35*i - 118. Calculate q(12).
-682
Let w(f) = -f**2 + 477*f + 9424. Determine w(-19).
0
Let p(w) = 2*w**2 - 1033*w - 11350. Give p(-11).
255
Let i(f) = -4*f**3 - 75*f**2 - 321*f - 6445. Give i(-19).
15
Let y(b) = 12*b**2 - 9024*b - 54585. What is y(-6)?
-9
Let f(a) = -a**3 - 30*a**2 + 4149*a + 121308. What is f(-29)?
146
Let m(y) = -y**3 + 168*y**2 + 2472*y + 13822. What is m(182)?
-10
Let y(c) = -15349*c + 168873. What is y(11)?
34
Let w(r) = 3*r**2 + 4820*r + 52757. Calculate w(-11).
100
Let y(c) = -309*c**2 - 8341*c + 55. What is y(-27)?
1
Let p(s) = -283*s + 53. What is p(-11)?
3166
Let i(y) = 31*y**3 - 2019*y**2 + 219*y + 2684. Give i(65).
19
Let g(a) = a**3 + 65*a**2 + 133*a + 1143. Give g(-63).
702
Let i(q) = 4439*q + 426143. Determine i(-96).
-1
Let h(n) = -26*n**3 - 859*n**2 - 31*n - 109. Give h(-33).
-175
Let m(n) = 11*n**3 - 128*n**2 + 379*n - 42. What is m(6)?
0
Let g(l) = -323*l + 26076. Calculate g(82).
-410
Let u(o) = 2*o**2 + 3460*o + 1444621. Determine u(-1026).
13
Let d(s) = 2*s**3 - 69*s**2 - 75*s - 201. Determine d(35).
-1601
Let i(j) = -36*j**2 + 1867*j + 12464. Give i(-6).
-34
Let y(m) = 4212*m - 10399427. What is y(2469)?
1
Let y(b) = b**2 - 132*b + 1736. Give y(14).
84
Let i(m) = -9807*m - 48973. Give i(-5).
62
Let u(r) = 198883*r + 1193274. Calculate u(-6).
-24
Let q(o) = -o**3 - 36*o**2 - 360*o - 173. What is q(-19)?
530
Let d(a) = 35*a**3 + 3777*a**2 - 322*a + 180. What is d(-108)?
-36
Let p(b) = 6*b**3 - 22*b**2 - 130*b + 449. What is p(5)?
-1
Let g(m) = -16002*m + 160073. What is g(10)?
53
Let u(m) = 3333*m + 1603168. Give u(-481).
-5
Let t(m) = -7*m**2 + 10070*m + 302411. Calculate t(1468).
3
Let m(q) = 82*q**2 + 9*q + 11. What is m(-1)?
84
Let h(r) = -21482*r - 13. Calculate h(0).
-13
Let r(z) = -2*z**2 + 4916*z - 19678. What is r(4)?
-46
Let v(k) = 3*k**3 - 446*k**2 + 310*k - 2142. What is v(148)?
-70
Let b(s) = -s**2 - 1213*s - 24155. What is b(-20)?
-295
Let n(r) = -33*r**3 + 19236*r**2 + 1743*r + 3442. Calculate n(583).
-56
Let y(i) = 3063*i + 23867. What is y(-8)?
-637
Let o(h) = -5*h**2 - 313*h - 1050. Determine o(-59).
12
Let x(s) = -30*s**3 + 975*s**2 - 481*s + 23. Calculate x(32).
-9
Let y(p) = -1673*p - 4236. What is y(-2)?
-890
Let k(d) = d**3 + 40*d**2 + 197*d + 718. What is k(-35)?
-52
Let a(q) = 12*q**2 + 5877*q + 35261. Calculate a(-6).
431
Let o(w) = 14772*w - 590888. Calculate o(40).
-8
Let w(d) = 79*d**3 - 790*d**2 + 142*d - 1441. Determine w(10).
-21
Let t(i) = 2*i**3 - 132*i**2 + 1374*i + 426. What is t(53)?
214
Let w(u) = 2*u**2 + 1217*u - 206024. What is w(138)?
10
Let m(z) = -916*z - 13512. What is m(-15)?
228
Let q(j) = -33260*j + 66532. Calculate q(2).
12
Let i(a) = -31*a**2 + 55761*a - 111513. Give i(2).
-115
Let y(c) = -25565*c - 358090. What is y(-14)?
-180
Let z(s) = -s**3 - 45*s**2 + 356*s - 443. Determine z(-52).
-27
Let n(w) = 933*w - 42919. What is n(46)?
-1
Let f(w) = -50499*w - 51086. Give f(-1).
-587
Let m(d) = -d**3 + 160*d**2 - 126*d + 19945. Calculate m(160).
-215
Let r(x) = 2*x**3 - 1180*x**2 + 6974*x + 19838. Determine r(584).
-18
Let c(u) = 6*u**3 - 111*u**2 - 348*u + 3390. What is c(20)?
30
Let o(a) = -713983*a + 2855936. Give o(4).
4
Let u(r) = 4737*r - 18. What is u(0)?
-18
Let s(z) = 75*z**2 - 686*z - 1370. Calculate s(-2).
302
Let z(d) = -35280*d + 34893. Determine z(1).
-387
Let u(b) = 64*b**2 + 133*b + 107. Determine u(-5).
1042
Let c(p) = 450*p**2 - 5402*p + 16. Determine c(12).
-8
Let r(y) = -4484*y + 67284. Calculate r(15).
24
Let h(l) = 3237*l + 29878. What is h(-9)?
745
Let m(c) = -5*c**2 + 1896*c - 17021. Calculate m(370).
-1
Let a(p) = -p**3 - 357*p**2 - 862*p + 70795. What is a(-354)?
-5
Let z(p) = 8064*p - 80758. Calculate z(10).
-118
Let l(c) = 39*c**3 + 5*c**2 - 6*c - 28. Calculate l(-3).
-1018
Let b(k) = k**2 - 95*k - 224. Determine b(9).
-998
Let t(l) = 4*l**2 + 83*l - 1703. Give t(-33).
-86
Let b(y) = 6*y**2 - 79*y + 257. Determine b(6).
-1
Let h(z) = -591*z + 2154. Calculate h(2).
972
Let j(m) = m**3 - 180*m**2 + 258*m + 17063. What is j(178)?
-381
Let n(g) = 11921*g**2 + 23843*g + 1. Give n(-2).
-1
Let a(i) = -30661*i - 1349092. What is a(-44)?
-8
Let c(t) = 32*t - 1911. Determine c(56).
-119
Let w(g) = -171*g**2 + 19503*g - 1050. Give w(114).
-24
Let v(z) = -3*z**2 + 1830*z + 1713591. Give v(-510).
-9
Let p(d) = 600*d**2 - 12*d + 42. Calculate p(0).
42
Let b(v) = -v**3 + 7*v**2 + 385*v + 325. Calculate b(-16).
53
Let q(h) = 10*h**2 + 5507*h + 63074. Determine q(-539).
11
Let k(v) = 223151*v - 446315. Give k(2).
-13
Let q(f) = -f**3 + 21*f**2 - 17*f + 72. Calculate q(22).
-786
Let x(t) = t**3 + 40*t**2 + 1824*t + 69614. Calculate x(-39).
-1
Let o(m) = m**3 + 2*m**2 - 52*m + 91. Determine o(5).
6
Let k(i) = -30*i**3 - 4501*i**2 - 166*i - 2324. Calculate k(-150).
76
Let k(p) = -92385*p - 1662934. Determine k(-18).
-4
Let c(g) = g**2 + 140950*g + 1268472. Give c(-9).
3
Let l(b) = 697*b - 12974. Determine l(19).
269
Let m(c) = -17013*c - 561438. Give m(-33).
-9
Let y(b) = -17*b**3 + 156*b**2 - 35*b + 112. Calculate y(9).
40
Let f(i) = 16*i**2 + 231*i + 631. Calculate f(-7).
-202
Let g(j) = 101221*j - 1012154. Determine g(10).
56
Let z(b) = -22*b**2 + 814*b - 47. What is z(37)?
-47
Let f(m) = 4*m**2 + 1358*m + 22373. Determine f(-17).
443
Let n(k) = -4179*k + 25263. What is n(6)?
189
Let m(j) = 16044*j - 3625924. What is m(226)?
20
Let z(y) = -244*y - 15091. Give z(-62).
37
Let s(c) = 769*c + 232452. Determine s(-302).
214
Let w(s) = 4*s**3 + 15*s**2 - 74*s + 54. What is w(5)?
559
Let c(r) = -r**3 - 13*r**2 - 312*r - 5056. Calculate c(-16).
704
Let l(s) = 2703*s**2 + 335210*s + 4711. Give l(-124).
-1
Let l(p) = 2*p**3 + 265*p**2 + 408*p + 1835. Determine l(-131).
-130
Let w(v) = v**2 - 11863*v + 319567. Calculate w(27).
-5
Let t(y) = -1245*y - 58536. Give t(-47).
| {
"pile_set_name": "DM Mathematics"
} |
t j(t) = -t**3 + 7*t**2 - 11*t + 12. Let h be j(6). Let d = h - -25. Calculate the least common multiple of u(d) and 15.
60
What is the lowest common multiple of 56 and 6/22 - 13800/(-220)?
504
Let c(y) = -143*y + 10. Let i be c(-5). Find the common denominator of 5568/i - (0 + 6) and 31/14.
350
Suppose -r - 4 = -3*y + 8, 4*y - 16 = 0. Suppose r - 18 = -2*l. Calculate the common denominator of 150/35*(48/l)/4 and 16/3.
21
Let k be ((-28)/(-35))/((-6)/(-5))*3. Suppose -67 = k*l - 3*q, 0 = -4*l + 3*q - 15 - 104. Find the common denominator of (0 + l/20)*3 and -44/5.
10
Suppose 0 = -10*o + 13*o - 414. Suppose 0 = -o*n + 127*n + 1760. What is the lowest common multiple of n and 128?
640
Let s = -215/554 - -58895/132129. What is the common denominator of -83/24 and s?
3816
Let o = 1025056 - 266514243/260. Let u = o + 2/65. Calculate the common denominator of 48/53 and u.
212
Let u = 4684 + -18685/4. What is the common denominator of u and (1/(-3))/(18/(-513))?
4
Let t = 3204882367725007/49014 - 65387080591. Let l = t - -6/2723. What is the common denominator of l and 65/63?
126
Let r = -54 + 58. Suppose r*v - 3 = 25. Calculate the least common multiple of 93 and v.
651
Let o(r) = -2*r**3 - 8*r**2 + r - 7. Suppose -c + 13 = 17. Let b be o(c). Let k(a) = a + 47. Calculate the smallest common multiple of 12 and k(b).
36
Suppose 0 = -17*j + 12*j + 50. Calculate the common denominator of (-14)/j + (-5424)/(-12960) and 35/48.
432
Suppose 0 = -10*z + 4*z + 108. Let h(t) = -2*t + 58. Let m be h(27). Suppose m*f - z = 46. What is the lowest common multiple of f and 14?
112
Suppose 3*n = -22 + 106. Suppose -2*d + 4*k = 77 - 269, 0 = -5*d - 4*k + 424. Suppose 0 = 5*q - d + n. Calculate the smallest common multiple of q and 30.
60
Find the common denominator of -47/285 and ((-55)/(-2280))/((-11)/44).
570
Let l = -225523/24 + 9401. Calculate the common denominator of l and (120/160)/(36/63).
48
Find the common denominator of ((-174)/8)/(-3) + -1 and (-429)/(-377)*(-102)/340.
580
Let f = -3136115/9303 + 4719/14. What is the common denominator of f and -13/22?
29238
Let x(p) = 2*p**3 - 29*p**2 + 11*p - 7. Let s be x(14). What is the lowest common multiple of -7*70/s + 1 + -1 and 70?
70
Suppose -3128*p = -3048*p - 1200. What is the lowest common multiple of p and -2 + 1 - (-1 - 60)?
60
Suppose 26*j + 11252 = 2048. Let x = 364 + j. Let p(z) = -z + 1. What is the smallest common multiple of p(-5) and x?
30
Find the common denominator of 2 - 0 - (-254)/(-144) and (-303552)/77004 + (-6)/(-2 + 0).
1656
Suppose -584*j = -581*j + 5*z - 164, 0 = -2*j + 3*z + 8. Let k(t) = -t**3 - t**2 - t + 16. What is the smallest common multiple of j and k(0)?
112
What is the common denominator of -115/264 and 2 - 1/(-110) - 11/(-33)*-9?
1320
Let y = 7 - -33. Suppose 5*f - 60 = 3*d - 28, d = -f. What is the least common multiple of f and y?
40
Let s = 931 - 905. What is the least common multiple of s and 453?
11778
Let u be (-17328)/30352 + 8/14. Let q = -138448/62601 - u. What is the common denominator of q and 64/3?
33
Let n = 18 + 22. Suppose -7*w + 10*w = 60. Calculate the lowest common multiple of w and n.
40
Let c be ((-140)/(-25) - 2)*5 - 4. Suppose c*v - 542 = -122. Calculate the lowest common multiple of 9 and v.
90
Calculate the common denominator of (-2060)/90 - -23 - (-164)/63 and (-2)/(2*2/(-65)).
14
Let s(o) = 15*o**3 - 14*o**2 - 13*o - 16. Let m(y) = 7*y**3 - 6*y**2 - 7*y - 8. Let c(v) = 13*m(v) - 6*s(v). What is the least common multiple of 7 and c(-6)?
70
Let z = 41735/14 + -2979. Find the common denominator of z and 17/(680/(-16)) + (-2061)/(-315).
14
Let p(h) = -h**3 + 3*h - 5. Let u be ((-2)/(-3))/(0 + (-3)/(-9)). Let j be p(u). Let b(y) = y + 18. What is the least common multiple of b(j) and 9?
99
Let p = 1050 - 545. Calculate the common denominator of -2 + (-3 - p/(-30)) and -47/9.
18
Let v = -1469 - -1479. Suppose 175 = 2*z + g, 2*z + 3*z = -2*g + 437. Calculate the smallest common multiple of v and z.
870
Let m(h) = -14*h + 672. Calculate the lowest common multiple of 972 and m(-6).
6804
Let f = 3411 + -3347. What is the lowest common multiple of 88 and f?
704
Suppose 0*t = -4*t. Suppose t = -6*d + 14 - 2. Calculate the smallest common multiple of 6 and 25 + 9/6*d.
84
Let i = 30470 + -975141/32. Let x = -80939/91900 + 65/919. Calculate the common denominator of i and x.
800
Let p be 6/9*(-6)/2. Calculate the common denominator of 1*(p + 77/27) and 566/(-126) + 1304/27384.
27
Let k(b) = -b**3 + 13*b**2 - 10*b + 20. Let j be k(9). Let p = j + -226. Calculate the least common multiple of p and 20.
140
Let a be 2*-1 + (-4 - -1). Let h(n) = -n**2 - 7*n + 10. Let o be h(1). Calculate the least common multiple of 20 and (a + 6)*o/(-6)*-24.
40
Let h(i) = 8*i**2 - 14*i + 44. Let s be h(8). Calculate the least common multiple of ((-10)/8)/((-37)/s) and 27.
135
Let o = 0 + -9/2. Suppose -4*k + 2*z + 200 = 0, 5*k + 12*z = 7*z + 265. Find the common denominator of o and (61/75)/(k/(-153)).
50
Find the common denominator of (-30)/(-375) - 9105/(-6500) and (5/7)/((-12)/119).
156
Suppose 216*z - 756 = 394*z - 199*z. Let j = -16 + 70. Calculate the least common multiple of j and z.
108
Suppose 0 = 11*g - 554 - 777. Suppose 0 = -122*o + g*o + 88. What is the smallest common multiple of o and 22?
88
Suppose -200 = -0*r + 5*r. Let g = -5911 + 5921. Calculate the smallest common multiple of g and (1/(-2))/(2/r).
10
Calculate the common denominator of -63/8 and (-100)/60 - 126163/(-75786).
101048
Let a = 1612 + -1592. What is the smallest common multiple of a and 14?
140
Suppose q + 6 - 12 = 0. Find the common denominator of 2238/(-180) - (-2)/q and 167/60.
60
Let a(w) = -w**2 - 11*w + 52. Let v be a(-14). What is the common denominator of 465/90*(-4)/v + 5 and -67/50?
150
Let c be 81/6*(-124)/93. What is the smallest common multiple of (-9)/(-2)*8/3 and (-42)/49*63/c?
12
Let f = -9855 - -630747/64. Find the common denominator of f and -61/24.
192
Suppose 28 = 5*r - 22. Suppose -y = y - r. Suppose -g + 99 - 83 = 2*j, -4*g + 2*j + 24 = 0. Calculate the lowest common multiple of g and y.
40
Let m(b) = -b**2 - 18*b - 78. Let t be m(-10). Find the common denominator of 10/41 and 254*6/(-18)*t/8.
246
Let q(f) = -f**3 + f**2 + 4. Let x be q(0). Let l = 44831/1850 + -887/37. Find the common denominator of l and x/(-10) + (-94)/50.
50
Let l = 1831/92820 - 3/4420. Calculate the common denominator of -53/161 and l.
2415
What is the common denominator of 15 + -13 - (-4 + 58/(-16)) and 4/110*468/(-16)?
440
Let z be -2*(-2)/((-6)/(-3)). Suppose 15 = z*c - 5. Suppose -8*b + 80 = -3*b. What is the least common multiple of b and c?
80
What is the common denominator of 7 + 0 + 2*(-116380)/32640 and -57/2?
816
Let b(i) = 23*i**2 + 1. Suppose 31 = -111*f + 142*f. What is the least common multiple of f and b(-1)?
24
Suppose 0 = -3*k - 0*k - r + 2028, -5*k + 3394 = -3*r. Calculate the least common multiple of 6 and k.
4062
Suppose -290002 = -637*k + 139336. What is the lowest common multiple of 16 and k?
5392
Let y = -374411/376800 + 16/3925. What is the common denominator of -37/400 and y?
2400
Calculate the least common multiple of 9 and 13226/90 - 12/(-270).
441
Let k(g) = -5*g - 46. Let y be k(-9). Let t be y/(21/6) + (-440)/(-70). What is the smallest common multiple of (136/t)/(2 - (-8)/(-6)) and 5?
170
Let x = -1640/9 - -183. Find the common denominator of ((-26)/(-12))/13 + 78/(-228) and x.
171
Let s(q) = 321*q**3 + q**2 - 3*q + 1. Let z be s(1). Calculate the common denominator of 53/128 and (1/(z/670))/(-1).
128
Let r(j) be the first derivative of j**3/3 + 5*j**2/2 - 14*j - 17. Let i be r(0). Let p = 19 + i. What is the smallest common multiple of 11 and p?
55
Find the common denominator of (-116)/(-290) + (-4636)/11515 and -43/63.
20727
Let o be 5 - 129/27 - (-3396)/27. Calculate the lowest common multiple of 12 and (2/(-14)*-18)/(18/o).
36
Calculate the lowest common multiple of ((-619)/4 + -1)*-164 and 6.
153258
Suppose -4*n = -d + 61 - 192, -n = -4*d - 14. What is the lowest common multiple of n/(-204) + (-194)/(-12) and 62?
496
Let y be 4 + (-21)/((-6)/(-2)). Let s = -752 - -753. Calculate the lowest common multiple of s and ((-219)/y)/(-2 + 3).
73
Let u = 56227/12 + -4691. Suppose 0 = | {
"pile_set_name": "DM Mathematics"
} |
*a - 6*a. Suppose 3*p - 5*p - f = 6414, 4*p = 2*f - 12836. What are the prime factors of (-4)/a + p/(-24)?
7, 19
Let w be (-2)/5 + 6*(-664)/(-60). Let p be 16/40 + w/10. Let x = 75 + p. What are the prime factors of x?
2, 41
Suppose -9*w + 14*w + 20 = 5*f, 3*w = -4*f + 2. What are the prime factors of (-347)/(-2) - w*4/16?
2, 3, 29
Let p = 1764 + -806. Suppose 2*z - c = 669 + p, 5*z - 4069 = 4*c. What are the prime factors of z?
3, 271
Suppose 5*d + 2*a = -2*a + 2924, -3*d - 3*a = -1755. Suppose y + z - 138 - d = 0, 2*y - 1444 = z. What are the prime factors of y?
2, 19
Suppose -4555*b = -4554*b - 3866. What are the prime factors of b?
2, 1933
Suppose -10*m = -2*m - 816. Suppose -5*b + m = -2*l, -6*b = -b + 5*l - 95. What are the prime factors of ((-48)/b)/(-6)*235?
2, 47
Suppose -h = 2*x - 219, 0*h - 432 = -2*h + 2*x. Suppose 17113*r - 17090*r + 450 = -631. Let t = r + h. What are the prime factors of t?
2, 5, 17
Let v = -1 - -4. Suppose -144 = -v*b + 2*p + 349, 0 = 2*b - 2*p - 328. What are the prime factors of b?
3, 5, 11
Suppose 0 = 2*c - 4*l - 19154, 114*c + 28725 = 117*c - 3*l. What are the prime factors of c?
3, 3191
Suppose 2438912 - 154067 = 189*u - 217137. What are the prime factors of u?
2, 6619
Let s be ((-20)/(-8) - 3)*(1 - 1). Suppose s = -13*i + 9350 - 2174. What are the prime factors of i?
2, 3, 23
Let l = 2025 + 2402. What are the prime factors of l?
19, 233
Let j(f) be the first derivative of 3*f**2 + 6*f - 19. Let m(a) = -6*a - 7. Let q(b) = 4*j(b) + 5*m(b). List the prime factors of q(-4).
13
Suppose 4*s - 2*o = 217690, -o - 430947 + 49987 = -7*s. What are the prime factors of s?
3, 6047
Suppose 3520*w + 3463152 = 3586*w. List the prime factors of w.
2, 7, 937
Suppose 15*n - 11*n = 1008. Suppose -3*d = d - n. Suppose 5*r = -2*u + 185 + d, 0 = r + 2*u - 56. List the prime factors of r.
2, 3
Let w(h) = -h**3 - 9*h**2 + 19*h + 42. Let b be w(-12). Let f = b - -267. What are the prime factors of f?
3, 19
Let s = 19 - 13. Suppose -5*i + 4543 = s*i. Suppose -h = 6*h - i. List the prime factors of h.
59
Let h = 1 - -35. List the prime factors of (-6592)/(-36) + (-4)/h.
3, 61
Let v(q) be the first derivative of 3*q**4/2 - 11*q**3/3 + 4*q**2 - 8*q + 88. List the prime factors of v(4).
2, 29
Let m = -219 - -223. What are the prime factors of m - -375 - 9/(45/(-20))?
383
Suppose 52028 = 7*d - 28234. Suppose -d = 104*s - 117*s. What are the prime factors of s?
2, 3, 7
Let w(d) = 2*d + 5. Let f be w(-9). Let k = 1007 - f. List the prime factors of k.
2, 3, 5, 17
Let h(f) be the first derivative of -f**4/4 + 13*f**2 - 3*f - 182. List the prime factors of h(-11).
2, 521
Suppose 0*c = -4*o + c - 5, 4*o + 11 = -c. List the prime factors of (-31)/o*6 + 3.
2, 3
Suppose 63*n - 113552 = 61*n - 4*b, -2*b = 2. List the prime factors of n.
2, 3, 9463
Let u = -1 - -3. Let z(a) = 71*a + 427. Let h be z(-6). List the prime factors of (h + -8 - -5)*(-77)/u.
7, 11
Let p(d) = -10*d - 4. Let r(y) = -81*y - 32. Let c(k) = 51*p(k) - 6*r(k). List the prime factors of c(-8).
2, 3, 5
Let o be (-6)/(-24) + (-15230)/(-8). Let m = o - 1344. What are the prime factors of m?
2, 5, 7
Suppose 0 = 40*a - 42*a + 6. Suppose -5*j + 424 = 3*g, -2*j = -7*j + a*g + 436. Suppose -t = -2*b + j, 174 = -b + 5*b - 3*t. List the prime factors of b.
2, 3, 7
Let a(r) = 49*r**2 + 13*r + 466. List the prime factors of a(18).
2, 7, 37
Suppose -2*b + 8 = h, -5*b - 4 = 2*h - 24. Let k = 600 + -595. Suppose 0*v + 2*v + 75 = 5*s, k*s - b*v = 85. What are the prime factors of s?
13
Suppose -c + 2133 - 2125 = 0. Let i(z) = 3*z**3 - 10*z**2 + 9*z - 62. List the prime factors of i(c).
2, 3, 151
Let r(q) = 40*q**3 + q**2 + 3*q + 2. Let h be r(-1). Let s = 46 + h. Suppose -5*z = i - 54 + s, 3*i = -3*z + 96. List the prime factors of i.
2, 7
Suppose 8*f - 167131 = 6*f - 3*k, 0 = 3*f + k - 250721. What are the prime factors of f?
2, 31, 337
Let z be 400/24 - (0 + (-2)/6). Suppose -2*w - 2*n = 4, 4*w + 5*n - z = 6*n. Suppose w*u = 2*l + 2*l - 423, -3*u = -9. What are the prime factors of l?
2, 3
Let u(y) = -y**2 - 22*y + 2. Suppose -7*o - 198 = 2*o. Let j be u(o). Suppose 1 = j*a - 9, -258 = -g - 2*a. List the prime factors of g.
2, 31
Suppose g = 3*k + 688, -2*g = 3*k - 771 - 614. Let z = g - 431. Suppose 0 = -5*x + 980 + z. What are the prime factors of x?
2, 31
Let j = -31 - -35. Suppose -l = 4*z + 5, 0*l + j = z + 2*l. What are the prime factors of (z - -3)/(7/679)?
97
Let h(w) = -w**3 + 6*w**2 + 9*w + 8. Let b be h(6). Suppose l + 2*v = -0*l + b, l - 72 = -4*v. What are the prime factors of l?
2, 13
List the prime factors of (396*-58)/(-6) - (-18)/6.
3, 1277
Let w be (-12)/7*14/(-4). Suppose 25 = -w*o + 7. List the prime factors of (-236)/o + 5/15.
79
Let t(p) = 9*p**2 - 3*p + 3. Let j(d) = 19*d**2 - 6*d + 7. Let g(f) = -4*j(f) + 9*t(f). Let a = -1019 + 1016. What are the prime factors of g(a)?
53
Suppose -5*t - x - 118 = 0, -5*x + 48 + 34 = -3*t. Let z be (t/(-9))/((-4)/(-6)). What are the prime factors of (220/8 - 0)*(2 + z)?
3, 5, 11
Let r = 1951 + -862. Suppose 0 = 9*a - 0*a - r. List the prime factors of a.
11
Let r = 33568 + -23374. What are the prime factors of r?
2, 3, 1699
Let o be 9/1*(43 - 2). Let l(u) = -2*u**3 - 92*u**2 + u - 142. Let w be l(-46). Let h = o + w. List the prime factors of h.
181
Suppose -21*v = 19138 - 199087. List the prime factors of v.
11, 19, 41
Let a be (1315*12/30)/1. Let s = 927 - a. List the prime factors of s.
401
Let q = 53369 - 28416. List the prime factors of q.
24953
List the prime factors of (32/(-24))/(4/12) - 20726/(-2).
3, 1151
Let s(x) = x + 6. Let a be s(-3). Let l be (0/3)/((-6)/a). Suppose 4*t - w = 565, 5*t + l*w = -2*w + 716. List the prime factors of t.
2, 71
Suppose 0 = 9*d - 50 + 95. Let w(a) = -2*a**3 + 10*a**2 + 11*a - 3. List the prime factors of w(d).
2, 13, 17
Suppose -15*z + 112646 - 16346 = 0. What are the prime factors of z?
2, 3, 5, 107
Let u = 272 + 1348. What are the prime factors of u?
2, 3, 5
Let i(d) = d**2 - 24*d. Let z be i(0). Let g(w) = 2*w**2 + 62 + 0*w**2 - 3*w**2. What are the prime factors of g(z)?
2, 31
Let a = -245 + 265. Let x(f) = 23*f - 166. List the prime factors of x(a).
2, 3, 7
Let f = 98 + -77. Suppose 0 = -2*u + 259 - f. Suppose 0 = 4*m - 835 + u. What are the prime factors of m?
179
Suppose -i - 6*i = 0. Let n(x) = 0*x + 2*x + 12 - 2*x**2 + 3*x**2. What are the prime factors of n(i)?
2, 3
Suppose h + 34 = 5*n, 3*n = 5*n + h - 15. List the prime factors of 1/(-3)*-2637 + n.
2, 443
Suppose -5*n = 5*a - 1150, -5*n = -4*a + 637 + 301. Let q = 482 - a. Let z = q + -141. List the prime factors of z.
109
Let v(b) be the first derivative of -17*b + 11/2*b**2 + 8. What are the prime factors of v(8)?
71
Suppose 0 = -4*w + v + 35, -4*v - 30 = -3*w - 7*v. Suppose 15*f - 12576 = -w*f. What are the prime factors of f?
2, 131
Let c be 2/(-6)*1205*(7 + -1). What are the prime factors of (c/5 - 2)*(-1)/2?
2, 11
Let g = -41 - -63. Let f(m) = 53*m - 92. What are the prime factors of f(g)?
2, 3, 179
Let i(p) = -318*p - 664. What are the prime factors of i(-14)?
2, 947
Let r = 6273 + 5697. List the prime factors of r.
2, 3, 5, 7, 19
What are the prime factors of (1 + (-5845)/14)/((-1)/38)?
7, 17, 19
Let k(c) = c**3 - 14*c**2 + 46*c + 65. List the prime factors of k(19).
2, 7
Suppose -37*i + 1013566 = -189972 - 742329. List the prime factors of i.
7, 11, 683
Suppose 184 = -3*r + 7*r. Suppose -r = -4*i - 30. Suppose -x + i*x - 4*a - 727 = 0, -3*x + 5*a = -722. What are the prime factors of x?
3, 83
Let t(a) = -3728*a**3 + 6*a**2 + 8*a + 2. Let d be t(-1). Suppose -5*x = 4*o - 3597, -d = -4*o + x - 137. What are the prime factors of o?
2, 449
Let m = -3548 - -7312. What are the prime factors of m?
2, 941
Suppose -54*t = -53*t - 4. Suppose 0 = -t*f + 205 + 7. List the prime factors of f.
53
Let f(h) = 34*h**2 + 195*h - 42. What are the prime factors of f(-10)?
2, 11
What are the prime factors of (-77270)/(-16) + (-138)/368?
11, 439
Suppose -919201 + 6837818 + 12713111 = 216*z. List the prime factors of z.
2, 17, 43, 59
Let t = -636 + 595. Let r(n) = -5*n + 85. List the prime factors of r(t).
2, 5, 29
Suppose 245140 = 19*q + 66*q. List the prime factors of q.
2, 7, 103
Let i be (-4)/(-36) - (51/(-27) - 1). Suppose -3*a + 4*d | {
"pile_set_name": "DM Mathematics"
} |
Let a be (4/6)/((-2)/(-15)). Let t = o + a. Let z(w) = w**2 + 4*w - 3. What is z(t)?
9
Let u = 6 + 2. Suppose -s - 3 = -u. Let i(z) = -z - 9. Let n(l) = l + 8. Let o(w) = s*n(w) + 4*i(w). Calculate o(-5).
-1
Let r(f) = -16*f + 3. Let z(v) = -8*v + 1. Let q = 4 + -6. Let i(w) = q*r(w) + 5*z(w). What is i(-1)?
7
Let f(h) be the third derivative of -h**2 - 5/24*h**4 + 0*h + 1/15*h**5 + 1/120*h**6 + h**3 + 0. Give f(-5).
6
Suppose 8 = q - 3. Let u = q + -8. Suppose -2*b - 14 = 5*s, 0*s + u*b + 16 = -5*s. Let l(z) = -z**2 - z. Give l(s).
-2
Let g(y) be the third derivative of y**4/24 + y**3/2 - 9*y**2. Determine g(-5).
-2
Let r be 0/10 + 1 + -2. Let c(x) = -10*x**2 + x + 1. What is c(r)?
-10
Let t be 2 + (-36)/21 - (-46)/(-14). Let k(r) = -r**2 - 8*r - 4. What is k(t)?
11
Let k(m) be the third derivative of -m**6/120 + m**5/15 + 7*m**4/24 - 7*m**3/6 - m**2. Suppose -2*l + 3*z = 2*z - 6, -2*l - 3*z + 22 = 0. Calculate k(l).
3
Let l(i) = 0 - i - i**3 - 9*i**2 + 3*i**2 + 9*i**2 - 2. What is l(3)?
-5
Let s(t) = t**3 - t + 2. Let m be s(-2). Let p(v) be the first derivative of -4*v - 5/3*v**3 - 5/2*v**2 - 1/4*v**4 - 11. What is p(m)?
0
Let o(k) be the second derivative of 7*k**3/3 + k**2/2 - 16*k. Calculate o(-1).
-13
Let f(z) = z**3 + 7*z**2 + 6*z + 2. Suppose 2*h - x + 38 = x, -x - 19 = h. Let k = h + 13. What is f(k)?
2
Let u = -19 + 12. Let s = u - -3. Let l(i) = i + 4. Let p be l(s). Let h(a) = -a**2 + a + 1. What is h(p)?
1
Let m(f) = f**3 - 5*f**2 - f - 1. Suppose -4*i + 0*q = 4*q + 12, q = 4*i + 7. Let p = i - -2. Let z be (10/2)/(p - -1). What is m(z)?
-6
Suppose -2*n + 5 = -1. Suppose 0 = c - n + 2. Let s(p) = -9*p + 1. Give s(c).
-8
Let y(q) = q + 3. Let l(a) = 6*a + 26. Let k be l(-5). Calculate y(k).
-1
Let f(n) = -n + 1. Let h(o) = o**2 - 3*o + 3. Let l(j) = -5*f(j) + h(j). Let s = -37 - -35. Give l(s).
-2
Let g(y) be the third derivative of -y**4/24 + 7*y**3/6 - 4*y**2. Calculate g(7).
0
Let x(z) = -4*z**2 - 6*z + 13. Let f(k) = 2*k**2 + 3*k - 7. Let d(o) = -11*f(o) - 6*x(o). Determine d(-3).
8
Let z(g) = 5*g. Suppose -5*f - 34 = 5*k + 11, -5*f + 2*k = 38. Suppose 0*p = -4*m + 5*p + 37, -4*p = 20. Let w be f/(-4) + (0 - m). What is z(w)?
-5
Let g(x) = x**2 - 6*x - 8. Suppose -5*a = 15, l = -a - 2*a - 1. Let k be (-4 - -2) + (l - 0). What is g(k)?
-8
Let p be 2*(0 + (0 - 1)). Let j be (-4)/8 - 21/p. Suppose -5*t + 2*n + j = -0*n, n = -2*t + 4. Let x(b) = 2*b**3 - 3*b**2 + b - 1. Calculate x(t).
5
Let d(c) be the second derivative of -c**7/840 + c**6/72 - c**5/20 + c**4/6 - c**3/3 + c. Let n(s) be the second derivative of d(s). What is n(4)?
-4
Let t(u) = -3*u + 1. Suppose 0 = 8*z - 4*z. Suppose z = -5*k + k + 8. Determine t(k).
-5
Let g(p) = p**3 + 5*p**2 + 3*p - 2. Let t(n) = n**3 - 8*n**2 + 8*n - 7. Let c be t(7). Let a = 21 + -9. Suppose 4*f + a = -c. Calculate g(f).
7
Let k(m) = 4*m + 2. Let b be 0 + (0 - 1 - 4). Let t be 28/10 + (-1)/b. Suppose -4 = -t*p - 13. Calculate k(p).
-10
Let x(h) = 3*h + 24. Let u(w) = w + 7. Suppose l - 6*l = -90. Let q(d) = l*u(d) - 5*x(d). Suppose -20 = 4*n - 4*f, -6 + 0 = n - 2*f. Determine q(n).
-6
Let p = -5 - -4. Let i(t) = 5*t**2 + 5*t + 5. Let j(d) = 2*d**2 + 3*d + 3. Let z = 11 - 8. Let b(f) = z*i(f) - 5*j(f). Give b(p).
5
Let x(g) = -9*g - 1. Let s be ((-36)/(-54))/(2 - 10/6). Determine x(s).
-19
Let q(c) be the second derivative of c**5/20 - c**4/3 - c**3/6 - 5*c**2/2 + 10*c. Suppose -2 + 14 = 3*o. What is q(o)?
-9
Let m(n) = 3*n - 4. Let o(k) = -6*k + 8. Let a(b) = -5*m(b) - 2*o(b). What is a(3)?
-5
Let i be (1/2)/(4/(-16)). Let s be (i - -1) + (-8)/2. Let k = s - -10. Let x(q) = -q**2 + 3*q + 3. Give x(k).
-7
Let h be (-216)/99 + 2/11. Let b(g) = -g**3 - 2*g**2 - 3*g - 1. Calculate b(h).
5
Let j(a) = a**2 - 9. Let l(m) = -m**3 + 4*m**2 - m + 4. Let k be l(4). Give j(k).
-9
Let n = 137 + -131. Let y(s) = -6*s + 6 + s**2 + 0*s**2 + 0*s**2. Calculate y(n).
6
Let v(b) = b + 1. Let i be v(0). Let h(c) = -4*c**3 - c**2 + 1. Let m be h(i). Let t(u) = u**2 + 4*u - 2. Give t(m).
-2
Let s(n) = 2*n**2 + 3*n - 4. Let c be ((-1)/(-3))/((-2)/(-78)). Let m be c/(-5) + (-4)/10. Determine s(m).
5
Let n(g) = g**3 - 4*g**3 + 3*g**3 + 2*g**2 + 1 - g**3. Determine n(2).
1
Let h(c) = c**2 + 4*c. Let k(n) = n**3 - 7*n**2 - 8*n + 3. Let a be k(8). Let j be (0 + -1)*(-4 + a). Let o = -4 - j. What is h(o)?
5
Let i(o) = -o + 5. Suppose 64 = -4*p - 12*p. Give i(p).
9
Let b = -9 + 11. Suppose -b = m + m. Let q(x) = x**3 + x**2 + x. Calculate q(m).
-1
Let j = 3 - 2. Let c(u) be the first derivative of -3*u**3 - u**2/2 - 71. What is c(j)?
-10
Let i(t) = 0 + 39*t**2 - 3*t - 1 - 41*t**2. Give i(-2).
-3
Suppose g = 4*r - 3, -4 = -2*r - 0*g - 2*g. Let k(a) = -1 + r - a + 2 + a**2. Calculate k(-2).
8
Suppose -m = 2*m + 3*h + 6, 0 = -2*m + 4*h + 2. Let n(p) = -11*p**2. Determine n(m).
-11
Let m(g) = 5*g + 8. Let k(i) = -i - 1. Let h(f) = -4*k(f) - m(f). Give h(3).
-7
Let b(w) be the second derivative of w**5/20 + w**4/4 - w**3/3 + 3*w**2/2 - 11*w. Give b(-3).
9
Suppose 6 = 4*g - 6. Let t(c) be the first derivative of -1 - g*c - 3/2*c**2 + 1/3*c**3. Give t(3).
-3
Let g(u) be the third derivative of -u**4/8 - u**3/2 + 2*u**2. Let r(n) = -n**2 - 14*n - 26. Let a be r(-12). Determine g(a).
3
Let f(x) = -6*x**2 - x - 1. Let c = 1 + 1. Let g(a) = 2*a + a**3 - 8*a**2 - 6*a**2 - 1 + 0*a**2 + 11*a**2. Let h be g(c). Calculate f(h).
-6
Let t(k) = -13*k + 42*k - 14*k - 16*k - 2. Calculate t(5).
-7
Let o(w) be the first derivative of 1/2*w**2 - 9*w - 2. Suppose 3*x + 2*x - 5 = 4*v, 3*v + 3 = 3*x. What is o(v)?
-9
Suppose 2*w = -2*w - 40. Let j be 0 + w + -5 + 5. Let i be 24/(-15) + (-6)/j. Let q(n) = 8*n**3 + n**2 - n - 1. What is q(i)?
-7
Let t(m) = -35*m**3 - 14*m**2 + 14*m - 3. Let z(d) = 5*d**2 + 1 - 6*d**3 + 9*d**3 - 5*d + 9*d**3. Let b(c) = -6*t(c) - 17*z(c). Give b(-1).
-7
Suppose -4*l - 18 = 2*v, -2*v + 1 = -3*l - 16. Let y(q) = v - 20*q + 8*q + 11*q. Determine y(1).
0
Let a(r) = -3*r**3 + 9*r**2 + 3*r - 9. Let g(o) = 7*o**3 - 19*o**2 - 6*o + 19. Let k(m) = -5*a(m) - 2*g(m). What is k(7)?
-14
Let g(n) = -4*n + 1. Let p be g(-1). Suppose -5*z - 14 = p*r - 4, 2*z = -5*r + 5. Let i(b) = r*b**3 - 2 + 4*b**3 + b**3 + 3 - 2*b. Determine i(1).
7
Let y(o) be the first derivative of o**3/3 - 2*o**2 + 3*o - 3. Calculate y(4).
3
Let b(j) = -j**2 - j + 1. Let x(r) = r**3 - r + 8. Let i(a) = a - 9. Let w be i(5). Let c(f) = w*b(f) + x(f). Suppose 2*m + 1 = -7. Determine c(m).
-8
Let w(s) = s - 3. Let l(m) = m - 4. Let f be l(10). Calculate w(f).
3
Let c(r) = 21*r**2 + r + 1. Let a be 3*(-49)/168 + (-1)/8. Determine c(a).
21
Let p(r) = -r + 1. Let x(n) be the second derivative of n**4/12 - n**3/6 + 4*n**2 - n. Let s(z) = 5*p(z) - x(z). Determine s(-3).
0
Let y(a) = -2*a**3 + 4*a**2 - 2*a - 2. Let l(f) = -f - 4. Let z be l(-6). Calculate y(z).
-6
Let r(g) = 3 - 6*g - 1 - 2*g - 1. Give r(1).
-7
Let n(x) = x**3 - 8*x**2 + x - 9. Let s be n(8). Let g be (-2 + 3)*(1 - s). Let f(i) = -g - 1 - 3 + i. Determine f(6).
0
Let r(m) = m**2 + m - 8. Suppose 0 = -3*s - 0*s - 9, -6 = -3*u + s. Let a be (-2)/u*(1 + -2). Let y be 6/(-9) + a/3. What is r(y)?
-8
Let r(f) = 14*f**3 + 2*f**2 + 2*f + 1. Let h be 2/6 - (4 + (-40)/15). Give r(h).
-13
Let q = -12 + 18. Let v be (-17)/(-3) - q/(-18). Let d = v - 3. Let u(w) = -w**2 + 2*w + 1. What is u(d)?
-2
Let a = 11 + -16. Let u(z) = -4*z - 7. Calculate u(a).
13
Suppose -3 = -2*w + 5*s - 4*s, w - 3*s + 11 = 0. Let i(u) be the second derivative of u**3/6 - 4*u. What is i(w)?
4
Suppose -3*d + 2*d - 2*w = -7, -3*w = -d - 8. Suppose -2*m = m - 6, -2*m - 8 = -3*t. Let x(l) = -2*l + t*l - l. Calculate x(d).
1
Let n = -2719/20 - -136. Let a(s) be the second derivative of -3*s + 1/2*s**2 + 0 - 1/3*s**3 + n*s**5 + 1/4*s**4. Give a(-4).
-7
Let p be 66/8 + (78/(-24) - -3). Let s(r) = r - 6. Calculate s(p).
2
Suppose 3*z + g + 19 = 0, -4*z = -6*z + 4*g - 8. Let x(i) = -i**2 - i + 7. What is x(z)?
-23
Let y(x) = 2*x**3 - x**2 - 3*x + 2. Let k = 2 - 4. Let f be k/3*3 + 4. Give y(f).
8
Let o(d) = -d**2 + d. Let a(w) be the third derivative of -w**4/12 - w**3/3 + w**2. Let q be a(-2). Let y = 0 + q. Determine o(y).
-2
Let h(t) be the third derivative of 0 - 1/6*t**3 + 3*t**2 + 1/12*t**4 + 1/60*t**5 + 0*t. Calculate h(2).
7
Let s be | {
"pile_set_name": "DM Mathematics"
} |
(-3) assuming l is positive.
l**(-44/3)
Simplify (((f*f/(f/f**(1/3))*f)/f)**(8/13))**(-41) assuming f is positive.
f**(-1312/39)
Simplify ((v/v**(-5))/(v/v**5*v))**25 assuming v is positive.
v**225
Simplify (x**(3/13))**(16/5) assuming x is positive.
x**(48/65)
Simplify (p**(-2/11))**(8/3) assuming p is positive.
p**(-16/33)
Simplify p*p**(-1/21)*p*p*p**(-22) assuming p is positive.
p**(-400/21)
Simplify (q*q**(-1/6)*q)/(q**2/q*q)*q**(-2)/q**(5/3) assuming q is positive.
q**(-23/6)
Simplify (z/(z/(z*z**25))*z)/((z**(-17/6)*z)/z) assuming z is positive.
z**(179/6)
Simplify m**(-1/14)*(m*(m/m**(1/15))/m)/m assuming m is positive.
m**(-29/210)
Simplify ((g*g**(-2/5))/g)**(2/11) assuming g is positive.
g**(-4/55)
Simplify (q**1)**(-12)*(q/q**(-1/4))/(q**0/q) assuming q is positive.
q**(-39/4)
Simplify j**(4/9)*j*j**7*(j**(-1))**(-4/5) assuming j is positive.
j**(416/45)
Simplify o/o**21*o**(6/11) assuming o is positive.
o**(-214/11)
Simplify (k**(-8))**49 assuming k is positive.
k**(-392)
Simplify (t/(t**(-31)*t)*t)/(t*t**(-28)*t*t) assuming t is positive.
t**57
Simplify (k/k**(-2)*k*k*(k*k**(3/11))/k*k)**(-50) assuming k is positive.
k**(-3450/11)
Simplify j**(3/13)*j/(j/j**(-1/11)) assuming j is positive.
j**(20/143)
Simplify (h**(-1/3)*h/h**2)/(((((h/h**(-3/5))/h)/h)/h)/(h*h/(h/h**(-3/7)))) assuming h is positive.
h**(67/105)
Simplify ((l*l*l**2*l*l)**(-1/21))**(6/19) assuming l is positive.
l**(-12/133)
Simplify (y*(((y*y**(-1/12))/y)/y)/y)**(-14) assuming y is positive.
y**(91/6)
Simplify (x**18*x)**(5/3) assuming x is positive.
x**(95/3)
Simplify (g**1*g)**(-2/125)/(g**5/g*g*g**4) assuming g is positive.
g**(-1129/125)
Simplify (t**(4/7))**(-3/20) assuming t is positive.
t**(-3/35)
Simplify q**(-4/5)/(q*q*q**27) assuming q is positive.
q**(-149/5)
Simplify (a*a**1*a*a)/a*(a/((a/(a**(7/4)*a))/a))/a*(a*a**(2/25)/a)/a**(3/4) assuming a is positive.
a**(127/25)
Simplify (((f*f/(f/((f/(f*f*f/f**(-4)))/f*f)))/f*f*f)**18)**3 assuming f is positive.
f**(-216)
Simplify g*g**(-6)*(g*g*g*(g/(g*g**(-4/21)*g)*g)/g*g)/g*g assuming g is positive.
g**(-38/21)
Simplify ((o**1)**12)**8 assuming o is positive.
o**96
Simplify ((c/(c/(c/(c*c**(2/3)/c))))/c*c)**(-21)/(c*c*c*c/(c**(-1/3)/c)*c*c)**(-4/19) assuming c is positive.
c**(-311/57)
Simplify ((l/(l/l**(2/5)))/(l**(2/9)/l))**(11/2) assuming l is positive.
l**(583/90)
Simplify (d**(-1/5)*((d*d**(-3/4))/d)/d)/((d**1/d)/d**4) assuming d is positive.
d**(41/20)
Simplify r*(r/(r/(r**(2/45)/r)))/r*r/(r*r**(-4/9))*r assuming r is positive.
r**(22/45)
Simplify (u**(-2)*u*u)/u*u**(-2/55)*u assuming u is positive.
u**(-2/55)
Simplify f/(f/(f*f**(-6)/f)*f)*f*f**(2/15) assuming f is positive.
f**(-88/15)
Simplify (w/w**(-1/13)*w/(w/((w/w**(-3/5))/w)))**(3/5) assuming w is positive.
w**(327/325)
Simplify (h**(2/5)/h)**(-39)/(h**(-7/3)*h/h**(-9/2)*h) assuming h is positive.
h**(577/30)
Simplify (m**(-2/15)*m*m**(-1/7)*m)/(((m*m/(m/((m*m**(-3/4)/m)/m)))/m)/m**(2/13)) assuming m is positive.
m**(19807/5460)
Simplify ((y/(y**(-2)*y))/y**(-1/2))/(y**(-2))**(-44) assuming y is positive.
y**(-171/2)
Simplify (r/r**(-2/37))/((r**0*r)/r) assuming r is positive.
r**(39/37)
Simplify ((i/((i*i**20)/i*i))/i)/i**(-29) assuming i is positive.
i**8
Simplify d*d*d*d**(3/10)*d/(d/(d/d**(-20))) assuming d is positive.
d**(243/10)
Simplify (x/x**(2/7)*x)/(x*x/((x*(x/((x**(-21)/x)/x)*x)/x*x*x)/x)*x*x*x) assuming x is positive.
x**(159/7)
Simplify (q/((q*q**(-2/33))/q)*q**14)**(-2/11) assuming q is positive.
q**(-994/363)
Simplify ((t/(t**(-2/7)*t)*t)/(t**(-2/39)*t*t))**36 assuming t is positive.
t**(-2172/91)
Simplify p*p**0/p*p*p/((p**(2/41)/p)/p) assuming p is positive.
p**(162/41)
Simplify (c**(-1/26)*c)**43 assuming c is positive.
c**(1075/26)
Simplify b**(-3/5)/b**(7/3)*(b**(1/4))**(-6) assuming b is positive.
b**(-133/30)
Simplify (x**(2/9)/(((x/(x/(x*(x/x**(-9))/x))*x)/x)/x))**0 assuming x is positive.
1
Simplify i**(1/8)*i/(i*(i*i**(-2/31))/i*i) assuming i is positive.
i**(-201/248)
Simplify ((u/(u*u**(2/9)))**(1/14))**(-18/11) assuming u is positive.
u**(2/77)
Simplify i**6*(i*i/i**(-11))/i*i assuming i is positive.
i**19
Simplify (o/(o/o**(-3/11))*o*o**9*o)**6 assuming o is positive.
o**(708/11)
Simplify (m*m*m/((m**24*m)/m)*m*m*m)**(2/79) assuming m is positive.
m**(-36/79)
Simplify (o/(o*o**(-19)/o)*o/o**(1/13))**4 assuming o is positive.
o**(1088/13)
Simplify (u**1*u**(-6/5)/u)/((u*u**(-5/2)*u)/(u/(u*u**(4/9)*u))) assuming u is positive.
u**(-193/90)
Simplify p*p**22*p*p/(p/p**(-15)) assuming p is positive.
p**9
Simplify n**(-3/7)*n**(2/23)*n**(1/5)*n*n*n**(3/7)*n assuming n is positive.
n**(378/115)
Simplify ((r/((r*r/(r/(r**10/r)*r))/r))/(r**(2/7)*r))/(r/r**1)**(2/119) assuming r is positive.
r**(-58/7)
Simplify u**(-1)/(u/(u*u**(-8))*u) assuming u is positive.
u**(-10)
Simplify i/i**(-5/7)*(i*i/(i**(-11)*i*i))/i assuming i is positive.
i**(82/7)
Simplify ((t*t/((t*(t**2*t*t*t*t)/t)/t))/(t/(t*t**0)*t))**(-2/11) assuming t is positive.
t**(8/11)
Simplify (v/(v*(v/v**0*v)/v)*v)**36/(v*v/v**1)**33 assuming v is positive.
v**(-33)
Simplify ((k/((k*k**(-17)*k)/k*k))/k*k)**(-21) assuming k is positive.
k**(-336)
Simplify (t/t**(1/4))**(-27)*((t*t/(t**(2/7)/t*t*t))/t*t)**(-1/30) assuming t is positive.
t**(-1703/84)
Simplify (b**1/b*b)/b**(-4/7) assuming b is positive.
b**(11/7)
Simplify (c**(-1/3)/c)/c**15 assuming c is positive.
c**(-49/3)
Simplify v**(-4)*v**13*v assuming v is positive.
v**10
Simplify u*u**(1/12)*u**(-1/24) assuming u is positive.
u**(25/24)
Simplify s/((s*s/(s/(s/(s/(s*s*s**8))))*s)/s)*s**(9/4)/s*s assuming s is positive.
s**(-31/4)
Simplify f*f**(-2/15)/f*f**(-1/54) assuming f is positive.
f**(-41/270)
Simplify (y**(-1/5)*y**1)**(-14) assuming y is positive.
y**(-56/5)
Simplify (h*h**(-4/5)*h)/(h**(-31/2)*h) assuming h is positive.
h**(157/10)
Simplify (r**(1/2)/r)**(2/21)/((r*(r*r**7)/r)/r**(4/5)) assuming r is positive.
r**(-761/105)
Simplify t**(-2/23)*t**(2/17) assuming t is positive.
t**(12/391)
Simplify (r/(r/(r**(-1/3)/r))*r)**(2/17)/((r/((r**(-1/7)/r)/r*r))/(r*(r/(r/(r**(-4)/r*r)*r))/r)) assuming r is positive.
r**(-2564/357)
Simplify g/(g*g**14)*g*g*(g/g**(-3/11))/g*g assuming g is positive.
g**(-118/11)
Simplify ((s/(s*s*s**1*s))/(s*s/((s/(s/s**(-1/4)))/s)*s))/(s**(-3/7)*(s/(s*((s*s/s**(-1))/s)/s)*s)/s) assuming s is positive.
s**(-163/28)
Simplify m**(-2/5)/(m**7/m*m) assuming m is positive.
m**(-37/5)
Simplify (v**2/(v*v/(v**(-2/19)/v)))**(1/37) assuming v is positive.
v**(-21/703)
Simplify h*h*h/h**(2/21)*h**6/h*(h*h**(2/3))**(-29) assuming h is positive.
h**(-283/7)
Simplify (m*m**(1/8))/m**(1/4) assuming m is positive.
m**(7/8)
Simplify (p/p**(-6)*p*p*p)/(p*p*p**(-6)*p*p)*(p**1)**(6/5) assuming p is positive.
p**(66/5)
Simplify (t/t**(2/9)*t**(-2/5))/(t**(-1/2)/((t/(t**(-1/8)*t)*t)/t)) assuming t is positive.
t**(361/360)
Simplify (q/(q*q**4)*((q*q*(q*q*q**7/q*q)/q*q*q)/q)/q)/(q**(3/5)*q*q*q**(-3/10)) assuming q is positive.
q**(37/10)
Simplify h**(-1/5)/((h**(2/7)*h)/h)*(h**(-1/2)*h)**6 assuming h is positive.
h**(88/35)
Simplify ((a/a**(-10))/(a**(2/15)*a))/(a**(-2/31)*a**(-2/17)) assuming a is positive.
a**(79436/7905)
Simplify ((p/(p**(-2)*p))/p)**12 assuming p is positive.
p**12
Simplify (i/(i*i**6)*i*i*i/i**(-6/5)*i)/(((i*i**(3/4)/i)/i)/(i/(i/(i/(i*i/(i/i**(1/3))))*i*i))) assuming i is positive.
i**(-173/60)
Simplify l**(6/23)*l*l**(3/16) assuming l is positive.
l**(533/368)
Simplify (f*f**(-1/2))/f**(1/3)*f/(f/(f**(-1/6)*f))*f/(f**2*f*f)*f assuming f is positive.
1/f
Simplify (q**(-6)/q**7)**(-36) assuming q is positive.
q**468
Simplify (o*o**(-1/5)*o*o)/o**(-9/4) assuming o is positive.
o**(101/20)
Simplify ((l*l**(2/3))/(l/l**6))/(l/(l/((l/(l**2/l))/l))*(l*l*l**(1/4)*l)/l) assuming l is positive.
l**(65/12)
Simplify l**(10/7)*l**7 assuming l is positive.
l**(59/7)
Simplify (m**(-1/3))**(2/79)*((m*m*m**(-2/7)*m*m)/m)/(m/(((m*m**4)/m*m*m*m)/m)) assuming m is positive.
m**(12784/1659)
Simplify a/(a*a**(-4))*a*a**(1/2)/a*a*a assuming a is positive.
a**(13/2)
Simplify b/(b*b*b/b**19)*b**22 assuming b is positive.
b**39
Simplify w**(-36)/(w**(-2/11)/w) assuming w is positive.
w**(-383/11)
Simplify (g**(1/4))**27 assuming g is positive.
g**(27/4)
Simplify (a**(-8)*a**(-2/13))**(-2/71) assu | {
"pile_set_name": "DM Mathematics"
} |
9.6
Multiply 0.0681 and 0.13.
0.008853
Calculate 1*-4.2.
-4.2
5 times 12.1
60.5
What is -0.093 times -0.15?
0.01395
Calculate 543*2.
1086
What is 3.17 times -0.5?
-1.585
Calculate 14.7*-3.
-44.1
Calculate 4*-49.
-196
What is -0.006 times -0.5?
0.003
-0.6258*-5
3.129
0.1 times 6.4
0.64
Product of -0.096 and 4.
-0.384
Product of 0.021 and -5.
-0.105
0.6 times -2
-1.2
-4.5*10.7
-48.15
2.5 * -5
-12.5
Product of -178 and -1.
178
5 * 0.56
2.8
-1*-436
436
38 * -28.7
-1090.6
Product of 767 and 0.4.
306.8
Work out -0.5 * -4.6.
2.3
Calculate 0.311*2.
0.622
What is 18.89 times -2?
-37.78
163 * 0.24
39.12
11 * -2.55
-28.05
-11 times -16
176
10 times -0.1
-1
Multiply -6 and -0.39.
2.34
Calculate -12.2*1.4.
-17.08
3*-0.183
-0.549
What is -7822 times 5?
-39110
Work out 4 * -108.
-432
0.2 * 141.2
28.24
2*-82
-164
Product of 38.12 and -5.
-190.6
37 * -0.01
-0.37
Product of 0.093 and 0.3.
0.0279
Product of 0.011 and 18.
0.198
What is the product of 28 and 3?
84
Multiply 0.5 and -0.5.
-0.25
What is the product of -537 and 1?
-537
-2415 * -0.1
241.5
0.4 times 0.3
0.12
Calculate 63.6*-7.
-445.2
Work out -3 * 0.6.
-1.8
-2*-0.1699
0.3398
Work out 188 * 5.
940
1 times 6.52
6.52
69*-0.021
-1.449
0.244 times -2
-0.488
What is 0.0038 times 1.5?
0.0057
Product of -133 and -3.2.
425.6
Work out -11409 * 5.
-57045
20 * -0.043
-0.86
0.5 times 1346
673
-9 * 0.36
-3.24
-0.0407 times 1.6
-0.06512
Work out 3 * 40.
120
0.21 times -1.27
-0.2667
Multiply 0.07 and -1364.
-95.48
What is -3755 times 4?
-15020
Product of 6.81 and 0.21.
1.4301
Work out 18 * -0.06.
-1.08
-1.49*-14
20.86
-835 times 2
-1670
Calculate 609*0.3.
182.7
Calculate -3.91*53.
-207.23
-1.3 * -3
3.9
-2 * 17.1
-34.2
-1 * 1498
-1498
Multiply 1270 and 0.1.
127
What is the product of 2.5 and 0.08?
0.2
Multiply -0.09 and -266.
23.94
4 * 3.96
15.84
What is 0.4 times -0.013?
-0.0052
What is the product of 1 and 637?
637
Product of -1590 and 0.1.
-159
-0.659 * -0.07
0.04613
Calculate -11423*-0.2.
2284.6
-2 * 4.5
-9
1 times 0.46
0.46
What is the product of -47 and 0.12?
-5.64
Calculate -65*-43.
2795
-3.11*-1
3.11
0.35 times -0.11
-0.0385
Work out 126 * 0.05.
6.3
Multiply -5 and 0.216.
-1.08
What is the product of 537 and 0.4?
214.8
What is -0.3 times -0.055?
0.0165
Product of 0 and -3492.
0
2.9 times -10
-29
Calculate -686*0.
0
0.3 times -388
-116.4
Multiply 0.3 and 0.43.
0.129
What is the product of -45 and -3?
135
What is the product of 84 and 268?
22512
Calculate 4*87.
348
Calculate -4*-11.
44
-0.42 times -0.07
0.0294
What is 10069 times 0.4?
4027.6
0.379 * 0
0
0.8 times 0.485
0.388
Product of 2 and -23.
-46
Multiply -10 and -0.1444.
1.444
Calculate -0.12*0.4.
-0.048
Work out 632 * 0.
0
What is -0.0069 times 0.26?
-0.001794
Product of 201 and 18.
3618
0.02 * -309
-6.18
256.6 * 0.1
25.66
Work out -0.4 * -0.118.
0.0472
Multiply 16 and 11.5.
184
156 * -0.12
-18.72
-5 * 3031
-15155
Multiply 0.0625 and 0.2.
0.0125
Work out -5.38 * -0.5.
2.69
-0.108 times -0.66
0.07128
What is -1 times -0.0384?
0.0384
Product of -5 and 113.
-565
0 * -3.7
0
Work out -2.04 * -0.5.
1.02
Calculate 119*0.128.
15.232
161 times 2.2
354.2
Product of -16 and 0.09.
-1.44
Multiply 0.2 and 0.1401.
0.02802
What is 0.011 times -0.016?
-0.000176
-0.048 * -4.5
0.216
Multiply -0.42 and 10.
-4.2
Multiply -6.4 and 0.1.
-0.64
1*-197
-197
0.2025 * -0.3
-0.06075
Work out -93.5 * -0.4.
37.4
Multiply 0.026 and 0.49.
0.01274
What is -0.082 times 5?
-0.41
Multiply 25 and -2.
-50
Multiply 4 and -1569.
-6276
-0.4 times 1
-0.4
Calculate 0.9*-0.086.
-0.0774
Multiply 42 and -0.03.
-1.26
Work out -0.07 * 1.473.
-0.10311
Work out 0.3 * 12.
3.6
What is the product of -398 and 50?
-19900
What is 0.3 times -67?
-20.1
Calculate 1*-474.
-474
Work out -0.14 * -1426.
199.64
What is the product of -0.037 and 1.6?
-0.0592
What is the product of -0.5 and -0.245?
0.1225
-4*49
-196
Work out 0.4 * 6586.
2634.4
Multiply -1 and 123.
-123
Calculate -120*-0.022.
2.64
Calculate 0.13*0.072.
0.00936
What is the product of 2.2 and -3?
-6.6
Product of 0.3 and 0.1794.
0.05382
Calculate -5*-1188.
5940
-32752 * -1
32752
What is the product of 530 and 1?
530
Multiply -1 and 528.
-528
0.08 times -0.02
-0.0016
Calculate -5.1*0.044.
-0.2244
Calculate -1.89*5.
-9.45
What is the product of -0.5932 and -0.1?
0.05932
-5 times 1
-5
-0.2163 times -5
1.0815
7 * 1233
8631
Multiply -68 and 0.2.
-13.6
0.1 * -0.171
-0.0171
Work out 0.11 * 1.6.
0.176
Work out -0.4 * 3.2.
-1.28
-0.11 * -278
30.58
What is 0.05 times 0.67?
0.0335
-0.29 * -42
12.18
-69 times 0.1
-6.9
-712.9 times 0.02
-14.258
What is -0.0398 times -0.4?
0.01592
Product of -8.6 and 30.
-258
Product of 0.04 and 4.
0.16
Product of -0.3826 and 0.1.
-0.03826
What is the product of 60 and 5?
300
0.1 * -352
-35.2
-4.6 times -2
9.2
0.5*-10
-5
What is -34 times -0.5?
17
-0.11*152
-16.72
Calculate -1*-1017.
1017
What is the product of 0.07 and -0.072?
-0.00504
Product of 6 and -149.2.
-895.2
Multiply -6 and -0.04.
0.24
Calculate -0.03*0.8.
-0.024
Work out -4 * -0.36.
1.44
Work out 19 * -0.036.
-0.684
Work out -0.17 * 0.09.
-0.0153
What is -140 times 0.25?
-35
What is -12 times 45?
-540
What is the product of -1.571 and -0.5?
0.7855
-7*69
-483
What is the product of 9 and -8.6?
-77.4
1.06 * 0.04
0.0424
-8*-156
1248
Multiply -0.1892 and 2.
-0.3784
Work out 6 * -61.57.
-369.42
What is the product of 259.8 and 0.1?
25.98
371 * -0.26
-96.46
Multiply -0.3 and -184.
55.2
0.115*0.16
0.0184
Multiply -0.2 and 6.
-1.2
What is -2 times 18?
-36
Product of -242 and -7.
1694
Calculate 0.088*-0.8.
-0.0704
Multiply 1 and -1725.
-1725
-40*9
-360
Work out 0.5 * -0.2815.
-0.14075
What is the product of -0.33 and -50?
16.5
What is -15 times -407?
6105
Work out 3.802 * 0.5.
1.901
-4 * -15.7
62.8
-0.23 times 41
-9.43
Product of 5.1 and -3.
-15.3
2*115
230
Work out -188 * -2.
376
What is the product of 9.59 and 4?
38.36
-0.3 * -495
148.5
-0.3*-1.06
0.318
0.39 * -1.12
-0.4368
What is the product of 2 and -560?
-1120
Calculate -0.1871*5.
-0.9355
1.1*0.415
0.4565
What is the product of -3 and 0.083?
-0.249
-0.067 * -2.4
0.1608
Work out 0.2 * -0.114.
-0.0228
Multiply -0.1 and -255.5.
25.55
-2 times 1661
-3322
1.4 * -42
-58.8
-384*5
-1920
Product of -0.5 and -412.
206
6.9 times 0
0
Multiply 5 and 0.03.
0.15
What is 0.1 times 18?
1.8
Work out -0.31 * 2.7.
-0.837
-2*-88
176
-0.7 * 167
-116.9
Work out 11 * -0.01.
-0.11
Multiply 128.3 and -1.
-128.3
What is 0.2 times 2929?
585.8
Work out 1.2 * 4.
4.8
-1 * 3.1
-3.1
-5*-21
105
What is 162 times 0.2?
32.4
3 times 18
54
0 * -1.552
0
Multiply -0.4 and 4.35.
-1.74
0.4 * 7698
3079.2
10.668*-4
-42.672
Multiply 8 and 70.
560
Product of -9.7 and -1.
9.7
Work out 0.3 * 0.086.
0.0258
16.324 * -2
-32.648
0.5 times -3
-1.5
Calculate 2.758*0.5.
1.379
What is 891 times 0.5?
445.5
94*2
188
What is -405 times 1.7?
-688.5
Product of 0.4 and 4.7.
1.88
What is the product of -14.57 and -0.6?
8.742
What is -3053 times 0.1?
-305.3
Calculate 0.065*4.
0.26
Calculate 0.395*-0.3.
-0.1185
Multiply 0.2 and -35.
-7
-0.94 times -26
24.44
What is -3211 times -2?
6422
Product of -7358 and -2.
14716
Product of -0.5 and -5.36.
2.68
Multiply 4380 and -0.3.
-1314
Multiply -185.8 and -0.2.
37.16
What is -0.1 times -0.22?
0.022
What is -746 times 3?
-2238
Work out -2 * -0.03.
0.06
What is -5 times 5.5?
-27.5
Product of 0.2 and -1.6.
-0.32
0.14*0.013
0.00182
0.1109 times -2
-0.2218
6.447*0.5
3.2235
3 times 71
213
Product of -4563 and 3.
-13689
Multiply 0.4 and 764.
305.6
0.2968 * 0.4
0.11872
4*23.7
94.8
-0.0132*-5
0.066
Product of -0.12 and 2.
-0.24
26*-0.123
-3.198
What is the product of 3348 and 0?
0
135 * 5
675
Product of 0.08 and 0.17.
0.0136
Multiply 1316 and 0.3.
394.8
What is -0.3 times -3.5?
1.05
-2*-0.06
0.12
Calculate -3*0.092.
-0.276
Calculate 55.6*0.04.
2.224
What is -1472 times 5?
-7360
What is the product of 0.043 and 77?
3.311
Calculate 5.9*0.5.
2.95
2 times -91
-182
-10 * -0.21
2.1
What is the product of -202 and 232?
-46864
0.61*-289
-176.29
What is 6.4 times -0.18?
-1.152
Multiply 0.006 and 14.
0.084
Multiply -1 and 3.8.
-3.8
-213*-4
852
Product of -25 and -0.37.
9.25
Work out 0.03 * -25.
-0.75
Product of -74 and 7.
-518
-0.1485 times 2
-0.297
49 * 8
392
Product of 320 and 0.2.
64
What is 4 times 8.7?
34.8
What is 0.5 times -18.61?
-9.305
Product of 146 and 4.
58 | {
"pile_set_name": "DM Mathematics"
} |
19334. Is m prime?
False
Let q = 18 - 54. Let s = -126 + 176. Let k = q + s. Is k composite?
True
Let y(b) = -2*b**2 + 2*b + 2. Let s be y(0). Is 17/s*(-5 + 11) prime?
False
Let p be (0 - 27/(-6))*2148. Suppose 5*a + 0*f - 2*f - 9642 = 0, -4*f = 5*a - p. Suppose a = m + m. Is m a prime number?
False
Let j = 27 + -24. Suppose 3*m - 559 = -2*m + 4*v, 333 = 3*m - j*v. Is m composite?
True
Let s = 99 - 37. Suppose 2*b + b + 31 = 5*v, -8 = 4*b. Suppose 0 = v*l - s - 8. Is l composite?
True
Is (16843*-2)/(8 - (-52)/(-6)) prime?
False
Let z be -3 + 1 - 280*1. Let j(s) = -133*s + 38. Let k be j(-9). Let t = k + z. Is t a composite number?
False
Suppose -b + 3*b + 33075 = 3*u, 4*u - 4*b = 44096. Is u a prime number?
True
Let w = -62 - -59. Is w*(-337)/12*12 composite?
True
Suppose w = -4*w - 2230. Let k = w + 817. Is k a prime number?
False
Let p(r) = -15*r**3 - 3*r**2 + 4*r - 3. Suppose 6*h = 4*h - 10. Is p(h) composite?
False
Let l(u) be the third derivative of u**6/120 - 7*u**5/30 + u**4/6 + 11*u**3/3 - 14*u**2. Is l(15) a composite number?
False
Let m(n) = 3*n**3 + 5*n**2 - 6*n + 9. Let h be m(-6). Let o = 894 + h. Is o a composite number?
True
Let p = -20 + 22. Let i(g) = 1 + 0*g**2 - 5 + 2*g - 1 + p*g**2. Is i(-12) composite?
True
Suppose 63463 = 2*f - 3*p, 0 = p - 8 + 3. Is f a composite number?
True
Let z = 12029 - 4402. Is z a composite number?
True
Let b(z) = 11*z**2 + 1. Suppose 12 = 2*s - 0*s. Let x be b(s). Let j = -196 + x. Is j composite?
True
Let t be 2965/4 - 5/20. Let h = t + -368. Suppose 445 = 2*c - h. Is c a composite number?
False
Is (-6)/27 + (-5372)/(-36) a prime number?
True
Suppose 3*o - 67 = -5*m, 0 = 5*m + o - 6 - 63. Let g = -11 + m. Suppose -g*i + z + 423 = 0, -3*i - i - 4*z + 564 = 0. Is i composite?
True
Let g = 159 - -32. Is g prime?
True
Let g be 129/(-15) + 10/(-25). Is 2/g + 55221/27 composite?
True
Let a(z) = -28*z + 16*z - 9 + 15*z. Let x be a(3). Suppose x = -y + 117 + 24. Is y a prime number?
False
Let d = 56 - 62. Is 1637/4*36/(d - -15) composite?
False
Let f = 14493 + -5802. Is f a prime number?
False
Suppose 4*o = r - 20457, -2*r = -0*r - 2*o - 40908. Suppose -10*d = -r - 6257. Is d a composite number?
False
Suppose -24999 = 79*j - 82*j. Is j a prime number?
False
Let k = -28 - -25. Let o(a) = -548*a + 7. Is o(k) a prime number?
False
Is ((-479)/(-2))/(51/102) a prime number?
True
Let l = 14591 + -3992. Is l a prime number?
False
Let c(m) = 23431*m**3 + 3*m**2 - 8*m + 5. Is c(1) composite?
False
Suppose 11 = 4*g - 1. Suppose 0 = -n + g*q - 1, 4*n = n + q + 5. Is (-19)/(-38) - (-1569)/n a composite number?
True
Let m(l) = 992*l - 41. Let v = 15 - 10. Is m(v) composite?
False
Let t = -42 + 26. Let s(g) = g**2 + 13*g + 1. Is s(t) prime?
False
Suppose -22 = u - 5*l, u + 17 = -0*l + 4*l. Suppose u*d - 3*c - 273 = -0*c, -3*c = 3*d - 261. Is d a prime number?
True
Let z = -742 + 157. Let p = z - -1352. Is p a prime number?
False
Let f be 2797/((1 + 0 + -2)/(-3)). Suppose -9*o + 3714 + f = 0. Is o prime?
False
Let z(y) = -y**3 + 9*y**2 - 8*y + 3. Let o be z(6). Let g = o + 54. Suppose 2*h - g = -h. Is h a prime number?
False
Let x = -12 + 20. Is (-3388)/(-112) - (-6)/x prime?
True
Suppose 32 = 2*i + 2*c, 2*c = 3*c. Suppose i*r + 1676 = 18*r. Is r a prime number?
False
Let o(y) = 15428*y + 13. Let r(l) = 3857*l + 3. Let b(c) = -2*o(c) + 9*r(c). Is b(2) a composite number?
True
Let q(m) = -48*m - 1. Let n(z) = -z**2 - 3*z + 2. Suppose 0 = 2*p + 5 + 3. Let c be n(p). Is q(c) composite?
True
Let y = -1147 + 2036. Is y composite?
True
Suppose -110*n - 28067 = -127*n. Is n composite?
True
Let w be 11 + -9 + (0/2 - -3). Suppose 111 = t - 4*v, 0*t = 3*t - w*v - 347. Is t a composite number?
True
Let y(v) = -7*v**3 + 5*v - 183. Let a(o) = -10*o**3 + 7*o - 275. Let f(g) = -5*a(g) + 7*y(g). Is f(0) a composite number?
True
Let q = -657 - -2138. Suppose -10*i + 629 = -q. Is i a composite number?
False
Let p(v) = -11*v**2 + 13*v + 2. Let a(h) = 6*h**2 - 7*h - 1. Let m(j) = -5*a(j) - 3*p(j). Suppose 3*x + 40 = 4*u, 4*u + 2*x - 10 - 10 = 0. Is m(u) composite?
True
Let h = 34 - 45. Let z(p) = -p**3 + 5*p**2 + 15*p - 2. Is z(h) composite?
True
Let c = 58636 + -4527. Is c a composite number?
True
Suppose 4*n - 1522 - 2390 = 0. Suppose 3*v - m = -5*m + n, 5*m + 326 = v. Is v prime?
False
Suppose 33*u = 41*u - 50824. Is u a composite number?
False
Is ((-3156543)/408 - (-6)/(-16))/(-3) prime?
True
Suppose -5*j = 5*w - 7*w + 13186, -4*w = -2*j - 26388. Is w composite?
True
Let r(u) = u**3 - 11*u**2 + 8*u + 22. Let y be r(10). Suppose -9510 = -5*h - g, -h + 1911 = -0*h + y*g. Is h a prime number?
True
Let u = -10 + 16. Let t(c) = c - 9. Let d be t(u). Is d/(-6) - (-229)/2 a prime number?
False
Let r be (2176/(-10))/((-15)/75). Let x(n) = -29*n**3 + 3*n**2 + 2*n - 3. Let o be x(3). Let m = o + r. Is m prime?
False
Suppose -395*t + 384*t = -194227. Is t a composite number?
False
Let o = 5878 - 3557. Is o composite?
True
Suppose -5*v - 22 = -2, -5*y - 2*v + 7 = 0. Suppose 0 = s + 3*j - 10 - 9, 0 = -y*s + 3*j - 3. Suppose 0 = s*r - 2*r - 278. Is r prime?
True
Let d = 1057 + -1647. Is (d/(-5))/(5/((-195)/(-6))) a prime number?
False
Suppose -8*j = -5*j + 7278. Let f = -1383 - j. Is f prime?
False
Suppose 2*d = 8*d + 24. Is (12 - -3106)*(-2)/d a prime number?
True
Let z = -1181 - -1768. Is z a composite number?
False
Suppose -3*b = 4*t + b - 1788, -906 = -2*t + b. Is t a prime number?
False
Let f(s) = -s**2 - 2*s + 6. Let o be f(-3). Suppose o*b + 151 + 287 = 0. Let k = -95 - b. Is k a composite number?
True
Let m = -1393 - -2470. Is m prime?
False
Let y = -2405 + 3728. Let b = y + 184. Is b prime?
False
Is (-52)/10*19260/(-72) a composite number?
True
Let t(l) = l**3 + 2*l**2 + 3491. Is t(0) a composite number?
False
Let f = -5151 - -13160. Is f prime?
True
Let b(s) = 15*s**2 - 4*s - 2. Let x be b(-6). Suppose -4*i + x = -106. Is i composite?
False
Let h(t) = 4842*t**3 + 1. Is h(1) composite?
True
Let x(i) = -i**3 - i**2 + 13*i + 4. Let l be x(3). Suppose -l*z - 3*s = -3*z - 10245, 5*z = 2*s + 12789. Is z prime?
False
Is (1 - -5518)*(-2 - -3) composite?
False
Let x be -2*(-3 + 2 - -1880). Let r = x - -8261. Is (-16)/6*r/(-76) a prime number?
False
Suppose -9452 = -3*i - 5*z, -z + 9676 = 5*i - 6070. Let c = i + -1608. Is c a composite number?
True
Let g be (5/(-20))/(3/(-1812)). Suppose -d - g = -526. Is d/1 - (-4 - 0) a prime number?
True
Let o = -119 - -119. Suppose -4*j + j + 904 = w, o = j - 5. Is w composite?
True
Suppose 3958*w - 3957*w = 94. Is w prime?
False
Let p be (-2 + (-12)/(-8))*88. Is 7/(11/p*(-4)/97) composite?
True
Let a(r) be the second derivative of -3*r**3/2 + 4*r**2 + 3*r. Let d be a(-4). Let u = 67 - d. Is u composite?
False
Suppose 17 = 2*d - 3*a, -2*d + a = -a - 14. Let c(z) = 3*z**2 + 0*z**2 + d*z - 7 - 2*z. Is c(-6) composite?
False
Let p = -467 - -798. Is p composite?
False
Let g(s) = -157*s - 8. Let b(z) = 313*z + 16. Suppose 2*r + 10 + 2 = 0. Let x(u) = r*b(u) - 13*g(u). Is x(7) composite?
True
Suppose 0 = 2*b - 3*b + 11. Let g(x) = x**3 - 10*x**2 - 10*x - 7. Let l be g(b). Suppose -828 = -2*z - 2*n - 124, -1417 = -l*z - n. Is z composite?
True
Let k(n) = n**3 - 15*n**2 + 28*n - 23. Let y be k(13). Let v(w) = -w**2 + 2*w. Let u be v(4). Is ((-223)/y)/(u/24) prime?
True
Let p(r) be the second derivative of r**4/3 + 4*r**3 - 3*r**2/2 - 14*r. Is p(-17) composite?
True
Let w(n) = n**2 - 9*n. Let g be w(13). Suppose 2*c = 4*a - 46, 3*c = -2*c - 3*a - 154. Let p = c + g. Is p composite?
False
Let h = 3 + -9. Let x = h - -8. Suppose -4*c - 390 = -2*l, x*l - 2*c = 4*l - 378. Is l a prime number?
True
Suppose -30 = -10*s + 5*s + 5*q, 4*s - 16 = 2*q. Suppose -2*x = -2*d - 170, -5*d = -x + s*x + 443. Let p = d + 797. Is p composite?
False
Let k be (-200)/60*6/(-4). Let w(x) = 4*x - 15. Let b be w(k). Suppose -3*h + 328 = -5*o, -b*h + 393 = -4*o - 145. Is h composite?
True
Let i = 8684 - 4291. Is i a prime number?
False
Suppose 3*y + 5*s - 8545 = 115318, 8 = 2*s. Is y a composite number?
False
Let k(y) = 19 + 7 - 43*y - 11. Let n(j) = -1. Let v(f) = -k(f) - 6*n(f). Is v(4) prime?
True
Let a be 13*(1 - 0 - -2). Suppose 0 = 4*j + 3*t - 1009, 2*j + 2*t - a = 465. Is j prime?
False
Let h be 27480/27 + (-2)/(-9). Suppose 4*k = -2 | {
"pile_set_name": "DM Mathematics"
} |
.
5452
Rearrange 6752*m + 4614*m + 4339*m to the form f*m + y and give y.
0
Express 279*s - 279*s + s**2 - 116*s**3 + (s**2 + 1 - 1)*(-s - 2*s + s) + 3*s**3 - 2*s**3 - 4*s**3 as p*s + c*s**2 + r + t*s**3 and give c.
1
Rearrange (15 - 2 + 3)*(2*w**2 - 9*w**2 - 2*w**2) + (-4*w + w + w)*(2*w - w + 0*w) to the form u*w + d + i*w**2 and give i.
-146
Express -189 + 60 + 2*z**4 + 32*z**3 + 60 + 60 in the form n + q*z**4 + a*z**3 + j*z**2 + m*z and give q.
2
Express -17*m - 1416*m**2 + 29*m + 42 - 12*m + 1425*m**2 as r + i*m**2 + o*m and give r.
42
Express (108 + 20*c - 108 + (0 + 3 - 1)*(-2*c + c - c))*(26*c + 79*c - 52*c) in the form q*c**2 + i + n*c and give q.
848
Express (-10*s**2 - 6*s**2 - s**2)*(220*s - 3235 + 3235) in the form l + b*s**3 + t*s**2 + m*s and give b.
-3740
Rearrange ((0 - 2 + 1)*(-9*d**3 + 16*d**3 + 19*d**3) + 16*d**3 + 19*d**3 + 125*d**3)*(0 - 3 + 5) to the form s*d + c*d**3 + u*d**2 + x and give c.
268
Rearrange 158*n**2 - 139*n**2 - 134*n**2 + 9*n - 2 - 7*n to the form v*n**2 + i*n + z and give v.
-115
Rearrange -169311*d - 215*d**2 + 338550*d - 169283*d to the form r*d**2 + i + z*d and give r.
-215
Express (0*a + a - 2*a + 5*a - 3*a - 3*a + (-5 + 3 + 4)*(-2*a + 3*a - 2*a))*(35*a + 8*a - 5*a) as p*a + u*a**2 + l and give u.
-152
Express 242*j**2 - 1 + 255*j**2 + 148*j**3 + 0 - 496*j**2 - 6*j**3 in the form b*j**3 + n*j + l + w*j**2 and give l.
-1
Express -1184 - 4*o + 59*o**2 - 157*o**2 + 96*o**2 + 333 in the form m + q*o + r*o**2 and give q.
-4
Express (1 - 1 + 3)*(62*l - 1615*l**3 + 1605*l**3 + 101*l) in the form m*l**3 + t*l**2 + w*l + o and give w.
489
Express (-1 - 3*j + 1)*(253433 - 42*j**2 - 253433)*(0*j - j - 2*j) as q*j**4 + i*j**2 + z + w*j + c*j**3 and give q.
-378
Express -6*t**3 - 2*t**2 - 18*t + 2 - 9*t + 33*t - 4 in the form l + n*t**2 + j*t**3 + h*t and give l.
-2
Express -6 + 6 - 19*m + (-18 - 108 + 17)*(-m - 5*m + 5*m) in the form b + u*m and give u.
90
Rearrange -2317 + 1171 + 2*y**2 + 1149 - 606*y**3 to the form g + z*y**3 + c*y + h*y**2 and give z.
-606
Express 274 + 2*m**2 - 2*m + 489 + 49 + 4*m**3 as n + y*m + g*m**3 + l*m**2 and give y.
-2
Express -164 - 92 + 0*n - 3*n**2 + 2*n + 474 as c*n + a*n**2 + y and give y.
218
Express 13437 - 2*n**2 - n**2 - 13458 - 3*n in the form y*n**2 + g + j*n and give j.
-3
Express -47*b - 249411 + 4*b**2 + 249411 + (1 - 3 + 3)*(b - 3*b + 4*b)*(b + 0*b - 7*b) in the form i + w*b**2 + n*b and give n.
-47
Express (y - y + y)*(3 - 2 + 8) + 0*y - y + 2*y + (-1 + 3 + 2)*(0*y + 0*y - 2*y) in the form q + m*y and give m.
2
Express 418 - 15*x - 17*x + 59*x - 25*x + 2810 in the form v*x + y and give y.
3228
Rearrange (-547 - 63*a + 270 + 275)*(-5 - 2*a + 5) + (-1 + 3 - 3)*(-1 + 4 - 2)*(51 - 17*a**2 - 51) to the form n + r*a**2 + l*a and give l.
4
Rearrange 143 + 2*i**4 - i - 8591*i**3 + 8591*i**3 + 0*i + i**2 to the form k*i**3 + a*i + w*i**4 + b + g*i**2 and give b.
143
Express 3*c + 25256 + 2*c**3 - c**2 - 25264 - 8*c**3 + 6*c**2 as u*c**3 + o + g*c + v*c**2 and give v.
5
Rearrange (990*r + 209*r**2 - 337*r**2 + 125*r**2)*(-r**2 + 2 - 2) to w*r**4 + o*r**2 + y*r + c + n*r**3 and give o.
0
Express (-171269 + 171269 - 902*p)*(-3*p**3 + 3*p**3 - 4*p**3) - 3*p**4 - 4*p**2 + 4*p**2 as f*p**2 + d*p + r*p**3 + l + b*p**4 and give d.
0
Express -2554*m**4 - m**2 - 3817*m**4 - 2*m + 7242*m**4 - 2 in the form b + f*m + q*m**2 + x*m**3 + r*m**4 and give q.
-1
Rearrange -57414*d**2 + 19 + 57412*d**2 + 566*d - d**4 - 19 to the form v + z*d**3 + m*d**2 + n*d + y*d**4 and give m.
-2
Express (-405*p**2 + 11556 - 11556)*(-13 + 5 - 17) in the form q + t*p + z*p**2 and give z.
10125
Rearrange 431 + u**2 + 238 - 7*u - 2*u**3 - 194 to h*u**3 + z + n*u + v*u**2 and give n.
-7
Rearrange ((2*g - 2*g - 2*g)*(8*g**3 + 0*g**3 - g**3) + 22*g**4 + 22*g**4 + 29*g**4)*(31 + 22 + 22 + 10) to n*g**4 + c*g**2 + z + u*g**3 + o*g and give n.
5015
Rearrange 14*b**2 + 29 + 9*b**3 + 3*b + 35 - 89 + 30 - 3 to k*b**3 + w*b**2 + t + l*b and give l.
3
Rearrange -342*f**2 - 5 - 694*f**2 + 2001*f**2 - 590*f**2 to the form v*f**2 + l*f + c and give c.
-5
Express (315 + 52*x**3 - 87*x**3 - 244)*(-2*x + 0*x + 3*x) in the form y*x**2 + l*x**3 + b*x + i*x**4 + m and give l.
0
Rearrange 2*m**2 + 2*m**3 + 3 - 106*m**4 - 2*m**3 + 208*m**4 - m - 3*m**3 - 103*m**4 to i*m**4 + r*m**2 + w + q*m**3 + v*m and give v.
-1
Rearrange 23062*m + 23018*m + 3*m**2 - 45991*m - 9*m**3 to the form w + c*m + l*m**3 + q*m**2 and give c.
89
Rearrange (-z + 2 + 3 - 7)*(125 + 98 - 38) to the form k + h*z and give h.
-185
Rearrange -191*h**2 - 1 - 170*h**2 + 162*h**2 - 388*h**2 - 49*h**2 to i*h**2 + t*h + d and give i.
-636
Express (-9 - 5*j**2 + 9)*((-2 + 5 - 1)*(3 - 3 - 2*j) - 10*j - 22*j - 7*j) as t + g*j**3 + b*j**2 + u*j and give g.
215
Rearrange (-5358*q + 6588*q + 9684*q)*(q**2 + 0*q**2 + 0*q**2) to u + y*q + d*q**3 + h*q**2 and give y.
0
Express 82235 - 82235 + 6637*i in the form l*i + u and give l.
6637
Rearrange (-2 - 2 + 5)*(901*g**2 - 468*g**2 - 430*g**2 + 362*g**3) to the form i*g**2 + v*g**3 + m + p*g and give v.
362
Express 149*u + 149*u - 2955 - 425*u + 130*u as c*u + o and give c.
3
Express (1 - 1 + 2*b**2)*(2*b + 3*b + b)*(-227*b - 15*b - 113*b) as w*b**2 + x*b**3 + q + s*b + k*b**4 and give k.
-4260
Rearrange (-2*l**2 + l**2 + 2*l**2)*(-1 + 2 - 2) - 1 + 1 - l**2 - 1956*l + 3806*l - 1854*l + 12379*l**2 to the form u*l**2 + v*l + w and give u.
12377
Rearrange 71*n - 117*n + 46*n - 15324*n**2 to x*n + l + y*n**2 and give y.
-15324
Express 9170 - 4582 - 4590 - 1680*u as o + m*u and give o.
-2
Rearrange -318*z + 299*z - 1144*z + (2 - z - 2)*(-1 + 1 + 1) - 8*z - 6*z - 2*z to f + u*z and give u.
-1180
Express 2*o - 2290 + 804 + 793 + 746 as k + z*o and give z.
2
Express (18*q**2 + 22*q**2 - 2*q**2)*(3 - q - 3) + 205*q**2 + 124*q**2 - 123*q**2 - q**3 + 1 - 2*q as f*q**3 + i*q**2 + m + s*q and give f.
-39
Express 1973*i - 1737005 + 1737005 + (-i - i + i)*(-1 + 3 + 0) in the form t + d*i and give d.
1971
Rearrange 20 - 5 + 548*n - 20 + 5 to the form p + j*n and give j.
548
Express (-1 + 1 + i)*(13 + 22 + 15) + (-1 - 3 + 5)*(0*i - 3*i + 2*i) + 2*i - i - 2*i in the form o*i + u and give o.
48
Rearrange -9138*p + 11481*p + 8206*p + 11922*p to the form t*p + r and give r.
0
Express ((3 - 3 - 1)*(0 - 2 + 1) - 1886 - 5910 + 3209)*(-c**2 + c**3 + c**2) as l + v*c**3 + t*c + a*c**2 and give a.
0
Rearrange 10*a + 32 - 3*a + 69 + 92 - 30 to the form y*a + t and give t.
163
Express -135758*w + 135758*w - 68*w**3 - 114 + (4*w + 2*w - 5*w)*(w**2 - 2*w**2 - w**2) as u*w**3 + m*w**2 + s + i*w and give s.
-114
Express (-269 + 269 + 196*y)*(3*y**2 - 1 + 3 + 1241*y - 1216*y) as k*y**2 + b*y + o*y**3 + h and give k.
4900
Express (-2*o + 2 - 4*o + 4*o)*(o + 1 - 1)*(24860 - 24860 - 2*o**2 - 1777*o) in the form d*o + x*o**4 + j*o**3 + b + r*o**2 and give x.
4
Express 1340*f**2 - 1692*f**2 + f**3 - 2*f - 2*f**3 - 2589*f**2 in the form r*f + o*f**3 + a + w*f**2 and give r.
-2
Rearrange 31 + 386*t**2 + 34 - 65 - 1673*t**2 + (-1 - t + 1)*(5*t + 6*t + 10*t) to z*t + x + h*t**2 and give h.
-1308
Rearrange 53*y**2 - 846*y**2 + 158*y**2 + y - 102*y**2 + 2 to z + l*y**2 + j*y and give l.
-737
Express -3*m - m - m + (-4*m - m + 3*m)*(1 - 4 + 1) + 11*m - m + 9*m - 13 + 6 + 8 + 15*m in the form c + z*m and give c.
1
Rearrange -3*x**4 - 3192*x**2 + 1563*x**2 + 2*x**4 - 1 + 1459*x**2 - 2*x**3 + 2*x to the form g*x**3 + y + f*x**4 + r*x + n*x**2 and give n.
-170
Express 452*d**2 - 9*d + 59*d**3 - 425*d**2 - 76*d**3 in the form l + q*d + u*d**3 + n*d**2 and give u.
-17
Rearrange -42*h - 41*h + 15*h + 1 - 3*h**2 - 4*h**2 - h to the form m*h**2 + g*h + a and give a.
1
Rearrange (2 - 5 - 2)*(-5881*j - 5130*j - 4426*j) to y + v*j and give v.
77185
Express (13180 - 13180 - 22*u)*(-2 - u**2 - 1 + 1 - 2*u)*(-u + 6*u - u) as h + k*u + m*u**3 + b*u**2 + r*u**4 and give m.
176
Express 16 + 12 - 8247*b**3 - 2*b**4 + 8245*b**3 + 6*b as d*b**2 + w + f*b**4 + z*b**3 + g*b and give g.
6
Rearrange -1479*b**2 + 4*b - 339*b**2 + 681*b**2 - 3*b - 1425*b**2 to x + k*b + f*b**2 and give k.
1
Express -14247*c**2 + 2905*c**2 - 1523*c**2 in the form o*c + a + f*c**2 and give o.
0
Rearrange -5212*p + 1656*p + 2482*p - 8759*p to c + k*p and give k.
-9833
Express (-7*c + 4*c + 16*c)*(2 + 3 - 2)*(10 + 15 | {
"pile_set_name": "DM Mathematics"
} |
ird smallest value in -0.3, 12.5, 7, 0.4, 5?
5
Which is the second biggest value? (a) 0.3 (b) -5 (c) 351
a
What is the third smallest value in 59, -0.27, 5, -9, -1, -2?
-1
Which is the third smallest value? (a) 3/5 (b) 0.141 (c) -18
a
What is the biggest value in -1/9, -227, 72.3?
72.3
Which is the second smallest value? (a) -25 (b) -4 (c) -1116
a
What is the second smallest value in -54, -23, 1.2?
-23
What is the fourth smallest value in 0.4, -0.07, -2/25, -4, 0.09, -0.2?
-0.07
What is the third smallest value in -42, -137, -212?
-42
Which is the third biggest value? (a) 2/5 (b) 0 (c) 0.3 (d) 4 (e) 0.8
a
Which is the fifth smallest value? (a) -5 (b) 1/24 (c) -2.65 (d) 0.1 (e) -5/4 (f) 0
b
What is the smallest value in 4, -9, 6554, 16?
-9
Which is the third smallest value? (a) -0.13 (b) -0.1 (c) -11 (d) 135
b
What is the smallest value in 2/3, 0.1, -1271, -1/5?
-1271
Which is the second smallest value? (a) 3.2 (b) -2/3 (c) 47 (d) -0.3 (e) -1 (f) -0.4
b
What is the biggest value in -3, -0.2, -1/14, 1/7?
1/7
What is the fifth biggest value in 2, 217, -2/25, -1, -4/7, 109?
-4/7
What is the fourth smallest value in 10, 6, -52, -5?
10
What is the biggest value in -3/98, -13, -144?
-3/98
What is the third smallest value in -63, 12, 0.5, 2/29?
0.5
What is the second smallest value in 4.71, 1/2, -0.41?
1/2
What is the biggest value in -0.166, 28, 1/3, 0.4, -0.5?
28
What is the third biggest value in -1, -4, -20601?
-20601
Which is the fifth smallest value? (a) 0 (b) -0.06 (c) -2/13 (d) 0.07 (e) -0.3
d
What is the third biggest value in 3, -1/4, 1/4, -3/10, 5?
1/4
Which is the second smallest value? (a) 4487 (b) -1 (c) 3 (d) -0.1 (e) -0.5
e
Which is the second biggest value? (a) 12 (b) 37 (c) -3 (d) -5
a
What is the third smallest value in 2/11, -1/10, -2/5, 5/3?
2/11
What is the biggest value in 129, -0.24, 2, -5?
129
What is the smallest value in 4, -1, -1/2, 5, 123, 1?
-1
What is the second biggest value in 1, -2.1, 159?
1
Which is the fifth biggest value? (a) -1/5 (b) 15 (c) 3/4 (d) -2/9 (e) -0.4 (f) 5/6
d
What is the fourth smallest value in -15, 2, 16, 0.1, -5?
2
What is the fourth biggest value in -1, 1.15, 0.2, -61/12?
-61/12
What is the biggest value in 7, 34976, -1/5, -1/6, -0.5?
34976
What is the fourth biggest value in -2/5, 1164, -0.27, 4?
-2/5
What is the fourth biggest value in 1, 0.5, -14, 0.3, -42, -0.3?
-0.3
Which is the fifth smallest value? (a) -171/4 (b) -0.4 (c) -4/7 (d) -1 (e) -2/7 (f) -6
b
What is the biggest value in 1/9, -31704, -3/4?
1/9
What is the biggest value in 2/9, -5, 410, 0?
410
What is the third biggest value in 142, 2/3, -1/9, -2/17?
-1/9
What is the third smallest value in -0.4, 5.1, 1320?
1320
Which is the third biggest value? (a) 23 (b) -55/64 (c) 5 (d) 10
c
What is the fifth biggest value in -7, -0.5, 106, -5, -2, 0.2?
-5
What is the second biggest value in -2, 0.2, -4/7, 5, 1, -0.06?
1
Which is the second biggest value? (a) 2/413 (b) 0.09 (c) 8
b
Which is the third smallest value? (a) 1/5 (b) 3 (c) -764/185
b
What is the fourth biggest value in -15, -482, -5, 3/7?
-482
Which is the fourth biggest value? (a) 253 (b) -2 (c) 4 (d) -2/3
b
Which is the smallest value? (a) -7 (b) 1 (c) 1314
a
What is the second smallest value in -0.5, 9, -568, 3?
-0.5
Which is the fourth smallest value? (a) -22 (b) -2 (c) -5 (d) 38 (e) 2/3 (f) 2
e
What is the fourth smallest value in -4/5, -4, -100, 7/25, -2/9?
-2/9
What is the second biggest value in 0, 0.2, 2669, 4?
4
What is the fourth smallest value in -1, -1/8, 0.4, 72, 2/3?
2/3
What is the third smallest value in 0.02, 3, -8, -34?
0.02
Which is the smallest value? (a) 10/9 (b) 0.05 (c) -5/3
c
Which is the biggest value? (a) -0.3 (b) 5379 (c) -6/5
b
Which is the smallest value? (a) -68 (b) -0.012 (c) 2/11
a
Which is the biggest value? (a) -0.5 (b) 4/5 (c) 4 (d) 61 (e) 464
e
What is the smallest value in -0.05, -352, 3, -2/43?
-352
Which is the fourth biggest value? (a) -6/5 (b) 1.4 (c) -6 (d) 0 (e) 144 (f) -3
a
Which is the third biggest value? (a) 1.9 (b) 3 (c) -4
c
What is the fifth biggest value in -1, -0.5, -173, -83, 5, 2?
-83
What is the biggest value in -1094, -0.3, -4/25, -5, 0.5?
0.5
Which is the third smallest value? (a) 8 (b) -15 (c) -1/5 (d) 2 (e) -56
c
Which is the third biggest value? (a) 0.5 (b) 10/7 (c) 0 (d) -7 (e) -0.008 (f) 2/15
f
What is the fourth smallest value in 22, -3, -0.15, -0.11?
22
Which is the smallest value? (a) -3 (b) -15/4 (c) -688 (d) -1/5
c
What is the third biggest value in 1, 16, -2/17, -1/3, 6?
1
Which is the second biggest value? (a) -4 (b) 1037 (c) 84
c
What is the fourth biggest value in 40/11, -4, -2, 0.1, 16.7?
-2
What is the third biggest value in 13, -1/294, -1?
-1
What is the biggest value in 4, -326, 2/7?
4
Which is the fifth biggest value? (a) 4 (b) 1 (c) 1549 (d) -5 (e) 1/5
d
Which is the fifth smallest value? (a) -4.17 (b) -1/4 (c) -0.4 (d) -0.062 (e) 0.5 (f) 2/9
f
Which is the third smallest value? (a) 3/5 (b) 514848 (c) 1
b
What is the fourth biggest value in 0.1, -2/9, 4, -3, -3436?
-3
What is the third biggest value in 3, 0.3, -12014, -4, 0.2?
0.2
Which is the second biggest value? (a) 2/17 (b) 8 (c) 7114
b
What is the fourth biggest value in -1/7, -5, -4, 3, 183?
-4
Which is the fifth biggest value? (a) 487 (b) -0.56 (c) 4 (d) 10 (e) 0.5
b
What is the third biggest value in 17, 51, -11, 2?
2
What is the fourth biggest value in 0.34, 1.3, -135, 1/3?
-135
Which is the second smallest value? (a) -1/408 (b) 1/8 (c) 4/3
b
Which is the fourth smallest value? (a) 763 (b) -5 (c) -0.01 (d) 3/7
a
Which is the fifth smallest value? (a) -244 (b) 0.4 (c) -0.1 (d) 5 (e) -1.8
d
What is the biggest value in -12, -271, -1?
-1
Which is the sixth biggest value? (a) 2 (b) -4 (c) -0.5 (d) -4.64 (e) 15/8 (f) 4
d
Which is the smallest value? (a) -13490 (b) -5 (c) 16
a
What is the second smallest value in -2, -0.09, 6751/5, -3/4, -1/3?
-3/4
Which is the fourth smallest value? (a) 1 (b) 3/7 (c) -7093 (d) -0.1
a
Which is the biggest value? (a) -5/2 (b) 58 (c) 17 (d) -0.02
b
Which is the fifth smallest value? (a) -35.58 (b) -0.5 (c) 0.003 (d) -3 (e) 4
e
Which is the third smallest value? (a) 2 (b) -0.4 (c) 0.1 (d) -899
c
Which is the smallest value? (a) -787 (b) -4 (c) -1.9
a
Which is the second biggest value? (a) 7039 (b) -0.1 (c) -1
b
What is the fourth biggest value in 5/6, 6, 4, -34?
-34
Which is the fourth biggest value? (a) -0.09 (b) 0.301 (c) -2/7 (d) 11 (e) 0
a
What is the second smallest value in -3, 3/13, 1/284?
1/284
Which is the second smallest value? (a) -0.3 (b) 4 (c) -2 (d) 181674 (e) -2/3
e
Which is the smallest value? (a) -7/5 (b) 0.06 (c) -0.9
a
What is the second smallest value in -0.3, -3, -1848, -145/3?
-145/3
Which is the fourth biggest value? (a) 1.059 (b) 0 (c) -20 (d) -3 (e) 5
d
Which is the second biggest value? (a) -0.5 (b) -0.2 (c) -14 (d) -50 (e) 4/5 (f) -2
b
What is the smallest value in 19/5, 31, 0, 2, -74, -3?
-74
Which is the third biggest value? (a) -1/14 (b) 9.7 (c) -4 (d) 3/8
a
Which is the second smallest value? (a) -0.16359 (b) -11 (c) 3
a
What is the second biggest value in -4, 2/7, -2/21, 4/9, 27?
4/9
Which is the third smallest value? (a) -16/3 (b) -0.3 (c) 5/2 (d) -0.5 (e) -0.1 (f) 12/5
b
What is the third smallest value in 5, -3, 478/3?
478/3
Which is the fourth biggest value? (a) 0.011 (b) -61.7 (c) 0.2 (d) 4
b
What is the fourth smallest value in 2/9, 0.04, -2/13, 4, 2/5?
2/5
Which is the third biggest value? (a) -15060 (b) -0.1 (c) 0.3 (d) 5
b
What is the second biggest value in -0.3, 1/3, 1/4, 18, 2.18?
2.18
What is the third biggest value in -1/274, -1/2, 15/8, 1?
-1/274
Which is the third smallest value? (a) 0.3 (b) 4 (c) 5 (d) -13 (e) -840
a
Which is the biggest value? (a) 58 (b) -18 (c) -3/11
a
What is the fifth biggest value in 6, 0, -47, 9, -3?
-47
What is the third smallest value in -891, 0.3, 0?
0.3
Which is the fifth smallest value? (a) -311 (b) 2/13 (c) -1/13 (d) 3 (e) 0.5
d
Which is the second smallest value? (a) -39968 (b) 0 (c) -1 (d) 4
c
What | {
"pile_set_name": "DM Mathematics"
} |
- -0.0174. Is s >= 7?
False
Let f be (-22)/(-99)*(-15)/10. Is 133 < f?
False
Let q(o) = 2*o - 4. Let p be q(-3). Which is greater: p or 7?
7
Suppose 0 = -8*v - 49 + 225. Let z = 44 - 28. Let x = z - v. Is x at least as big as -0.2?
False
Let j = -42 + 66. Suppose -3*d - j = -4*u + 14, -20 = 2*d - 4*u. Suppose 0 = -4*f + 36 - 104. Is d at least f?
False
Let p(c) = -2*c - 2. Let j be (0 + 6)*(-17)/34. Let b be p(j). Suppose b*k - 4 = 8*k. Is -1 greater than or equal to k?
True
Let c be (966/(-20))/(5/10). Let b = 97 + c. Which is bigger: b or 1?
1
Suppose 0 = -36*f + 33*f. Suppose w + 176 = 7. Let n = 3212/19 + w. Is n at least f?
True
Let n be 1 - -4 - (-15)/(-1). Let s be (n/(-15))/(2/1). Do s and -1/2 have the same value?
False
Let s = -117 + -45. Let z = s - -159. Which is smaller: 2/13 or z?
z
Suppose -3*k + 3 = -0*k. Suppose 0 = 4*r - 3 - k. Let w be 12/2 - (-3 - -7). Do w and r have different values?
True
Let o = 224 + -224. Is -1/223 at most o?
True
Let c be ((-20)/(-740))/((-1)/(4/14)). Let i = 219/5180 - c. Which is bigger: i or -1?
i
Let c = -57 + 82. Let t = c + -27. Let v be t/(-33)*(-12)/(-8). Does v = 0?
False
Let x be (522/5)/((-54)/360). Is -696 <= x?
True
Let b = -10 + 42. Suppose -v + 3*g = -6*v + b, 25 = 3*v - 4*g. Which is smaller: v or 8?
v
Let r = 32.76 - 7.6. Let v = -25 + r. Let z = v - 0.16. Which is greater: 8 or z?
8
Let t = -255 - -254.8. Is t at least as big as 0.22?
False
Let h = 20/9 + -13/6. Let p = 38 - 38. Are h and p nonequal?
True
Let v(c) be the first derivative of -c**3/3 + 2*c**2 + 9*c - 23. Let m be v(-5). Is -110/3 bigger than m?
False
Let s = 8.6 + -8.6. Is -7 <= s?
True
Let o(z) = 2 + 1 + 70*z - 71*z - 4. Let u be o(-2). Does 5/8 = u?
False
Let t(p) = 2*p**2 - 54*p + 142. Let f be t(3). Let l = -90/49 - 15/49. Which is bigger: f or l?
f
Let i = 75.646 - 76. Do i and -1/5 have different values?
True
Let c be ((-26)/(-10))/(2/(-5)). Let f = -1994 - -1994. Which is smaller: f or c?
c
Let p be ((6 - 4) + -2)*-1*1. Is p at most as big as -1/1253?
False
Let o be -2 + (112/(-15))/(-4). Let h = 104 - 105. Which is greater: h or o?
o
Let c = 65512/39 - 1680. Which is bigger: 1 or c?
1
Suppose 2*j = 8, 0 = -3*a + 3*j - 0 - 9. Which is bigger: a or -10?
a
Let o = 382 + -382. Is o < 1/545?
True
Let r = -27 - -28. Let s(p) = 15*p + 10. Let q be s(9). Let t = -3334/23 + q. Which is bigger: r or t?
r
Suppose 2*a - 6 - 8 = 0. Suppose a*s + 55 = -15. Are s and -11 non-equal?
True
Suppose -z = -r + 1, -r - 4*z + 16 = -0. Let c be (6/(-10))/(r/(-20)). Is c < 5?
True
Suppose -4*s + 2*q = -6, -s + 2*q + 9 = 15. Which is bigger: s or 2/21?
s
Let a be (-17)/(-1) + -3 + -4. Let d be 44/a + 3/5. Suppose -m - 3 = 4*y - 13, 5*m - 50 = -d*y. Which is bigger: 11 or m?
11
Suppose -3*o - 3*a = -60, 2*o - 3*a + 5 = 30. Suppose -g = -4*d + o, -2 - 2 = -3*g + d. Let r be (-2 - -1)*g*1. Which is greater: r or -5/3?
-5/3
Suppose 3*j = 3*s - 6, 5*s - 20 = j - 6*j. Which is smaller: -2/173 or j?
-2/173
Suppose -2*t - 3*w = -36, -5*t - 3*w = 40 - 121. Suppose 4*d - i = -25, -4*i - t = 4*d - 3*i. Is d >= -5?
True
Let r = -2/2409 - -80569/1606. Let l = 81/2 - r. Which is smaller: -0.1 or l?
l
Let z be 22/14 + 75/(-50). Let n be ((-2)/6)/(2/18). Let v(w) = -w - 4. Let m be v(n). Is m at least as big as z?
False
Suppose 5*c = 2*m - 12, -2*m = 2*c - 28 + 30. Which is greater: c or -16.4?
c
Let w(a) be the first derivative of a**3/3 + 3*a**2/2 + 12*a + 11. Let c(j) be the first derivative of w(j). Let b be c(-3). Which is greater: b or -5?
b
Let t = 0.266 + -0.166. Which is smaller: t or -0.2?
-0.2
Let u be ((-21)/9)/((-6)/(-324)). Let z be (-316)/u + (-6 - 80/(-14)). Which is greater: 2 or z?
z
Let m(v) = v**3 - 2*v**2 - v + 2. Let c be m(2). Let p be 20/(-175) - 2 - -2. Is p at most as big as c?
True
Let i = 393/1504 + -7/32. Which is smaller: 0 or i?
0
Suppose -9 = -3*v + 6. Let d = v + 1. Let l be 0/(-2) + 66/d. Are l and 11 nonequal?
False
Let a be (-34)/(-153) + 824/18. Suppose 121 = 4*q - 71. Which is smaller: q or a?
a
Let r(z) = 10*z**2 + 4*z + 1. Let p be r(-5). Is p > 230?
True
Let n = 13 - 8. Suppose -15 = n*b - 2*f - 0*f, -4*f - 12 = 4*b. Let l be (b/4)/(54/(-9)). Is l >= 0?
True
Let v = 1743 + -1793. Which is greater: v or -65?
v
Let x(d) = -d**2 + 32*d + 1. Let n be x(0). Is 1/893 smaller than n?
True
Let x = 30 + -29.9. Is -233 at most x?
True
Suppose -3*o - 2*j + 14 = o, -o = 3*j - 11. Let g be o/(-4) + (-54)/(-28). Do g and 1 have different values?
True
Suppose t + 0 = -l + 2, -3*l + 10 = -t. Suppose -27 = -5*x - 2. Let y be (l - 7) + 1*x. Which is greater: y or 1/18?
y
Let n be ((-2)/1)/(2/(-3)). Suppose 0 = 2*m - d, m - 5*d = 4*m. Suppose 5*q - 7 - n = m. Do q and 3/5 have different values?
True
Let h(z) = -z**3 - 22*z**2 + 23*z + 4. Let i be 3/(-3)*22 - 1. Let j be h(i). Is j less than or equal to 17/4?
True
Let l = 0.94 - -0.06. Let o = -1.1 + l. Suppose 0 = -3*m - r + 7, 3*m + 5*r + 14 = 25. Are o and m unequal?
True
Suppose 0 = -2*z - p - 51, -7*p - 163 = 6*z - 6*p. Let j(s) = -3*s**2 + s + 4. Let l be j(-3). Is l at least z?
True
Let l = -2.89 - -4.29. Which is greater: l or -3?
l
Suppose 3*v = -3*i + 1578 - 6189, i + 2*v + 1532 = 0. Which is smaller: i or -1541?
i
Let v = 19163689/29469 - 30606/47. Let l = -1/57 + v. Suppose 6*a = 3*a. Which is smaller: a or l?
l
Let g(w) = 8*w**3 + w**2 - 2*w + 1. Suppose -4*x = 4*m + 16, m + 5 - 3 = -3*x. Let f be g(x). Suppose 3*u - f*u = 25. Do u and -5 have the same value?
True
Let c = 155 + -156. Is -13/22 bigger than c?
True
Let a = 20.6 - -0.4. Let u = a + -13. Let f = 8.2 - u. Which is smaller: 0.3 or f?
f
Suppose -36*c = -31*c - 75. Let d be (-92)/(-21) + 5/c. Are 4 and d unequal?
True
Let l = -88 - -266/3. Let o = -50 - -46. Are l and o nonequal?
True
Let h be 36/60*(-5)/(-1). Suppose 0*k - 2*k - 210 = -4*j, -2*j = h*k + 339. Which is smaller: -112 or k?
-112
Let t(w) = 4*w**3 + 3*w**2 - 5*w - 1. Let h(b) = b**3 - b - 1. Let d(i) = 2*h(i) - t(i). Let l be d(1). Which is greater: l or -1?
-1
Let w = -37/72 - 115/144. Let u = 745/592 + w. Let d be (-2)/((-1 - -1) + 2). Is d bigger than u?
False
Let c = 85 + -106. Which is smaller: -18 or c?
c
Let o = 73 - 583/8. Suppose 3*c + 3*v - 12 = -2*v, 0 = 3*c + 2*v - 3. Which is smaller: c or o?
c
Let t = 453 - 4072/9. Let l be (1 - 1)/(4 - (1 - 0)). Do t and l have the same value?
False
Let r be (-1 + -45)/(-2) - (-15 + 18). Let s be -2 + 25/r - -2. Which is greater: 0 or s?
s
Let i(y) = y + 1. Let x(d) = 12*d - 6. Let o(g) = -15*i(g) + x(g). Let n be o(-7). Does n = 1?
False
Suppose -2*p = -m - 124, -228 = 3*m - 4*p + 148. Is -128 < m?
False
Suppose 64 = 5*j + 19. Let i = -4 + j. Suppose l = i*g + 3, 0 = -0*g - 2*g - l + 3. Is -7/5 greater than or equal to g?
False
Let r(x) = 41*x - 55. Let u be r(2). Is u smaller than 450/17?
False
Let g(k) = 2*k**3 - 37*k**2 - 21*k + 37. Let r = 69 - 50. Let i be g(r). Which is greater: 2/435 or i?
2/435
Let o be -6 + (-4)/(0 - 1). Let k be (1 - 1)/(o + 1). Which is greater: k or -7?
k
Let g = 0.6 - 0.7. Let n = g - 1.9. Let k = n - -2.1. Which is smaller: k or 2/5?
k
Let b be (-50)/15*3 - (0 - 4). Let m be 42/(-12)*(-12)/(-7). Are m and b nonequal?
False
Let t be (2297/14)/(0 + -32). Let u = t - -36/7. Which is smaller: u or 0?
0
Suppose 3*p + 2*h = -2 - 20, -5*h = -3*p - 29. Let u be p/(-77) + (-6)/21. Let x(s) = -s**2 - 3*s + 3. Let m be x(1). Is u at least m?
True
Let d be -3 - 4 - 6/(-1). Let p be (-17)/3 + 2/(-6). Let i be p/28*1/(-3). Which is smaller: i or d?
d
Let p = -9 - -264. Is p less than 254?
False
Let q = -1150 + 1044. Is -108 less than q?
True
Suppose 258 = 2*o + 36. Let q be (-26)/(-39) + (-76)/o. Does -1 = q?
False
Let w = -47.07 - -48.9. Are 1 and w unequal?
True
Let v(l) = -l**2 + 8*l + 28. Let y be v(12). Let o be (1/4 - 0)/((-5)/y). Are -3/134 and o equal?
False
Let j(v) = v**3 + 4*v**2 - 2*v + 7. Suppose -3*m = -4*m - 5. Let x be j(m). Let l be (-16)/(-21) + x/24. Is 1 equal to l?
False
Let t = -16441/87 - -189. Let s(g) = -g**2 + 11*g - 18. Let k be s(9). Which is smaller: k or t?
k
Let x be (-14)/2*(-8)/40*55. Is x > 9?
True
Let c be ((-136)/2288)/(2/(-41822588)). Let m = c - 1242970. Let b = -100/11 + m. Which is greater: 0.1 or b?
0.1
Let z be 1085/410 + (-10)/4. Whic | {
"pile_set_name": "DM Mathematics"
} |
lculate 58 + 9 - 47 - (61 + (-4 - 5)).
-32
(2 - (-2 + 0 - 2)) + (-687 - -715)
34
1 + -19 + -81 + 100 - 12
-11
Calculate 0 + (18 - 11) + (-10 - -9 - -5).
11
Evaluate -37 + -12 - (-48 - -11 - -22).
-34
What is the value of 7 - (-13 + -9 + -12 + 24 - -66)?
-49
-33 + 0 + 153 + -128 + 0 + -14
-22
What is -56 + 23 + (-16 - -30) - -134?
115
Calculate -1 - 125 - (842 + -909).
-59
What is the value of (3 - 3) + (-50 - -33 - -15)?
-2
Evaluate 23 + 33 + -39 + -3 + -38 + 13.
-11
Calculate (17 - 46 - -52) + -46 + 12.
-11
What is the value of 45 + (2 - ((8 + 4 - 15) + 10)) + 9?
49
Evaluate 20 + (-53 - -18) + (0 - -27) - 61.
-49
Evaluate 88 + 23 + (-140 - -66).
37
Calculate 3 + (-36 - -55) - (-1 + 60).
-37
What is the value of -6 + (35 + 13 - 18) - -24?
48
Evaluate -9 + (-110 - 29) + (17 - -1).
-130
Calculate 52 + -48 - 10 - -23.
17
Calculate 163 - 16 - (-190 + 266).
71
Evaluate -13 + 3 + -8 + -6 + -8 + 8.
-24
-52 - (-11 + 48 + -18 + -35)
-36
What is the value of 26 + -21 - 14 - 51 - 18?
-78
(50 - 80 - -13) + (0 - -61)
44
Calculate 4630 - 4658 - (15 + 1).
-44
Evaluate -20 - (11 + -3 + 9 - 20).
-17
What is -10 + (-1649 + 1746 - (-14 + (1 - 2)))?
102
Evaluate (-6 - (-20 + -1)) + -66 + 28.
-23
(-22 - -22 - 57) + 51
-6
What is (0 - 2) + -3 + (-5323 - -5308)?
-20
Calculate 126 + 1 + (-6682 - -6614).
59
What is the value of (4 - (-3 + -12 + -4)) + (323 - 309)?
37
What is the value of (8 - (133 - 99 - (-9 - 111))) + 1 + -8?
-153
Evaluate (-4 - 1) + (-12 - (32 + -54)) - (-46 + 0).
51
What is -10 + 5 - (12 + 12 - 11)?
-18
(-12 - -1 - 0) + 10 - (38 + 4 + -8)
-35
Evaluate 14 - 4 - 14 - -9 - -6.
11
Calculate -2 - (47 + 61 + -54 + (-4 - -2)).
-54
Calculate (-7 + 0 - (0 - 2)) + 1457 + -1468.
-16
What is 33 + (-54 - -3) + 18?
0
Evaluate (7 + -16 + 12 + -1 - 1) + -68.
-67
Evaluate 1 - 56 - (3515 - 3546).
-24
Calculate -142 - (-20 - (-72 + 117)).
-77
26 + -20 + 105 - 106
5
What is the value of 35 + -3 + -16 - -2 - -14?
32
What is the value of (20 - -1 - (-477 + 503)) + -12?
-17
-17 - (15 - (-8 - -18) - 10) - -15
3
Calculate -2 - ((-3 - 22 - -16) + -29).
36
Evaluate 7 + (6 - -119) + (0 - -14) + -32.
114
What is 57 + -32 + 92 - 39?
78
Calculate 3 + (-1 - -4) + -17 + -5 + 2 + -1.
-15
Calculate -114 + 17 + 63 + -41.
-75
Calculate -16 - -86 - ((-1 - -5) + (3 - (10 - 7))).
66
Evaluate (-9 - -4 - -44) + -21 + (38 - 9).
47
-111 + 25 + 60 - (0 - 10)
-16
Calculate (18 + 23 - -22) + -50.
13
Calculate (-16 - (0 + -5)) + (86 - 68).
7
Evaluate 123 - (44 + 3 - 1).
77
38 - ((78 - 0) + -73 + (1 - (9 + -1)))
40
Calculate 560 + -588 - (-10 - 0).
-18
26 + (142 - (-147 + 280))
35
Evaluate 20 + 13 + (11 + 2 - (0 - -7) - 5).
34
What is the value of (0 - (35 + (-8 - 24))) + (0 - -53)?
50
Evaluate 3 + -97 + 428 + -348.
-14
What is -8 - (23 - (36 - 12))?
-7
What is -428 + 413 - (2 + 0 - -30)?
-47
What is -1 + -45 - ((68 - 58 - -50) + -46)?
-60
-77 + -138 + (39 - -152)
-24
2 + 16 + -3 - ((41 - -42) + -42)
-26
What is (-2 - (6 + (5 - 3))) + -69 + 67 - 7?
-19
Calculate -68 + 125 + -49 + -13.
-5
What is 187 + -17 + -211 - (-14 - -1)?
-28
Evaluate 229 + -202 + 77 + -19.
85
Evaluate -6 + 66 + (-10 - -1 - -9) + 3 + 10.
73
What is the value of -47 - (11 - (-8 + 55))?
-11
Calculate -99 - (-20 + -21 + (56 - (7 - 3))).
-110
What is 8 + (-9 - (-20 + 19)) - (-48 + 4)?
44
-31 + 9 - (0 + -24)
2
Evaluate (-7 - (-7 - -18) - -8) + 6 + -10 + 33.
19
What is -59 + (379 - 371) + -5 + (3 - 0) + 3?
-50
What is 31 - (78 + -12 - -10)?
-45
-47 - (-51 - 40) - 107
-63
Evaluate -6 + 90 - (16 + (-17 - -17) - 22).
90
Calculate 23 + -26 + (3 + (0 - 1) - 4) - 25.
-30
What is 27 + 18 + -46 + (1 + -7 - 1) + 33?
25
What is the value of 0 - -13 - (21 - (37 - -20)) - 11?
38
Evaluate (-34 - 4) + (24 - -6 - 26).
-34
What is (11 - (-1 + 6)) + -6 + (-1 - (-5 + 11))?
-7
92 + -38 + (78 - 92)
40
What is the value of (-19 + 52 - 28) + (4 - (1 + 5) - -57)?
60
What is -82 - (3 + 0 + 0) - (-298 + 282)?
-69
(-31 + -8 - (12 + -34)) + 1 - -47
31
What is the value of -6 - (5 - (52 - -1)) - (-91 + 92)?
41
What is the value of 43 + (29 - 211) - -109?
-30
Calculate -814 + 822 + -1 + -1 + 33.
39
What is (0 - -15) + 16 + -31 + 15 + -10?
5
1 - (81 + -63 - (11 + -4))
-10
Calculate 15 - ((-21 - (14 + 1)) + 2 + -7).
56
Evaluate -63 + 175 + -155 - (15 - 1).
-57
What is -10 - (-25 - (30 + -17))?
28
(110 - 116 - -20) + (-1 - 0)
13
What is the value of (1 + (1 - 2) - -49) + 8 + 1 + -3?
55
Evaluate -5 + -7 - ((-1 - -20) + (-10 - 9)).
-12
Evaluate -33 + (32 - (-16 - -30)) + 26.
11
What is the value of -4 + 0 - (-35 + 33 + 26 + -3)?
-25
Calculate -33 + 27 + (30 - 43).
-19
Calculate (-114 + 222 - 125) + 8 + -1 + -1.
-11
What is the value of 11 + (-16 - (-23 + (-5 - (-14 - 1)))) - -7?
15
What is the value of 63 + 41 - (118 - 44)?
30
Evaluate (12 - 1) + (20 - -47 - 57).
21
0 + 101 + (-13 - 0) + (-64 - -127) + -55
96
Evaluate (-132 - -113) + (-20 - (-5 - 0)).
-34
Evaluate (242 - 82) + -19 + (23 - 15).
149
What is the value of 36 + -25 + 45 + (2 - 14) - -8?
52
(0 - 64) + (-100 - 128) + 182
-110
(-340 + 334 - (0 + -12)) + (-1 - -4)
9
-44 + (23 - (-29 - -37))
-29
What is 6 + 12 + -7 + 39 + -44?
6
(92 - 111) + (7 - 9) + -1
-22
What is -12 + 309 + -385 + (-17 - 4 - -5)?
-104
(-11 - -2) + (-274 - -258)
-25
What is the value of (0 - 2 - 2) + (2423 - 2387)?
32
Evaluate 14 + -1 + -176 + 117.
-46
-20 + 34 + -4 + 102 - 25
87
Calculate 36 + -1 + 8829 + -8846.
18
What is the value of -3 + (-8 - -24) + 7 - -9?
29
36 + 64 + -155 + (2 - 11 - -2) + 1
-61
What is (-10 + 26 - (15 - (12 - 13))) + -54?
-54
Evaluate 200 + -113 - 115 - (-28 - 0).
0
What is 2 + -46 + -1942 + 1959?
-27
Calculate (9 + 6 + 0 - -2) + (0 + 1 - -5).
23
Evaluate 107 + -96 - -19 - (25 - 1).
6
Calculate -645 + 628 - (-32 + -3).
18
Evaluate 137 - (253 - 119) - (17 - (0 + 1)) - 7.
-20
Calculate -12 - ((-95 - -1) + (-16 - -43)).
55
What is 37 + 4 + 5 - (61 + (-37 - 8))?
30
Calculate 1 + 27 - (2 + 140 + -138).
24
Evaluate -129 - (-226 - (22 - 108)).
11
Calculate 13 + (-23 - -22) + -13 - -21.
20
Calculate -10 + 2 - (-6 + 36 + 48 + -37).
-49
Evaluate 17 - 20 - 27 - (-20 + 16).
-26
What is the value of -59 + -138 + 112 + 93?
8
What is -61 + (3 - (19 - 13)) - 2?
-66
Calculate -2 + 5 + -3 + 20 + -7 + -28.
-15
What is the value of -19 + (14 - (-3 - 12)) + -34?
-24
What is the value of (256 + -238 - (-33 + 1)) + 26?
76
(-1 - 5) + -5 + 4 + (292 - 365)
-80
Calculate 10 - (-18 - -9 - -7) - (37 - 22).
-3
Calculate 41 + (-46 - -19) + 16.
30
What is 23 + 68 + 13 + -122?
-18
What is the value of 66 + 87 + (-138 - -44)?
59
What is -20 + -119 + -20 + 76 + 0 + -4?
-87
Calculate -128 - (14 + (-36 - -4) + -12).
-98
Calculate (62 + (-15 - -4) - 10) + -8.
33
Calculate 29 - (-30 - -110) - -4.
-47
What is (-196 - -69 - -68) + 78?
19
Calculate (18 - (-4 - (12 + -8))) + -4 + (-5 - -17).
34
Calculate -9 - (-15 + 1 + -17 - -9).
13
What is the value of -59 + (-9 - -71) + -4?
-1
Calculate -36 + 45 - ((54 - (-2 + 2)) + 11) - 3.
-59
-36 - (-70 + (42 - -5))
-13
-39 - (-2 + 7 + (-36 - -32))
-40
What is 181 - (28 + -13) - (33 + 18 + -28)?
143
What is the value of 5 + -47 + (206 - 103)?
61
Evaluate 4 - (40 + (9 + 1 - 23 - (-14 + 4))).
-33
-3 + (24 + -10 - 24) + (-2 - -1)
-14
Calculate 94 + -31 - (41 + 20).
2
Calculate (1 + 0 - 108) + -25 + 204 + -182.
-110
What is the value of 1755 + -1681 - (-2 + -6)?
82
-7 - (30 + -20 + -9) - (0 - (-4 - 18))
-30
Calculate -2 + -102 + 69 + (19 - 8).
-24
Evaluate -6 - ((-9 - -20) + -21 + -8) - -1.
13
What is -10 + -7 + (-17 + 19 - 15)?
-30
6 - -40 - (-215 - -250)
11
What is the value of 38 - (-14 + 10 + (3 - -2))?
37
Calculate 29 + -23 - (-129 + 110).
25
Calculate 23 + 44 - 43 - (1 - 18).
41
Calculate -960 - -887 - (-1 + 5).
-77
Calculate (-747 - -750) + 0 + -2 + 30.
31
What is the value of -9 + 51 + -5 + (-11 - (-14 + 11)) + 10?
39
Evaluate 2 - (1 + -135) - (11 + -1 + -168 + 169).
125
What is the value of -31 - (-1 + ((8 - 10) + 14 - -5))?
-47
8 - 23 - -16 - -32 - -10
43
What is (16 - 10 - -18) + (-131 - -108)?
1
(4105 - 4095) + (0 + -7 - -1) - 17
-13
Calculate -6 - (5 + 8) - (64 - 44).
-39
What is the value of 43 + 145 + -213 + 66 + (2 - 1) + -10?
32
144 + -67 - 149 - -116
44
What is the value of 0 - (-24 + -6 + 15 + 38 - 6)?
-17
What is the value of 2 + -34 + (235 - (-25 - -160))?
68
Evaluate 61 + 96 + (-35 - 170).
-48 | {
"pile_set_name": "DM Mathematics"
} |
2/5
Let h be ((-39)/12 - -4)*-1. Which is the closest to -2/7? (a) h (b) -2 (c) 5
a
Let s be (4 - (-55)/(-15))*18. Let z be s + -4 - -4 - 3. Let v be (-2)/(-3) - (-2)/(-6). What is the closest to z in v, 0.1, -3?
v
Let k(o) = 9*o**3 + 4*o - 13. Let p be k(2). Which is the closest to -1? (a) 2/13 (b) 0.3 (c) p
a
Let p be (26/351 - 424/(-108)) + -6. Let j = 0.2 + -0.2. What is the closest to 5/6 in j, p, 0.5?
0.5
Let m = 0.4246 + -0.0246. Which is the closest to 0? (a) -2/11 (b) 4 (c) 1/5 (d) m
a
Let l(g) = 2*g**2 - 27*g - 255. Let x be l(21). Which is the nearest to 4? (a) -4 (b) x (c) 0.1 (d) -2
c
Let f = -377 - -372. Which is the nearest to 0? (a) f (b) 32/7 (c) 3/4
c
Let v = -4.6 + 11.2. Let a = 6.4 - v. Let t = 0.6 - 0.3. What is the closest to 5 in t, a, -3?
t
Let n = -110 - -78. Let d = n - -32.3. Which is the nearest to 1/2? (a) d (b) 1/5 (c) 0.4
c
Let o = -0.11 - -1.21. Let m = o - 1.5. Let s = 0.2 + -1.2. Which is the closest to s? (a) 2 (b) m (c) -3
b
Let w = 8 - 10.65. Let c = w - -0.65. What is the closest to 2/7 in -1/9, 3, c?
-1/9
Let o = 0.29 + -0.7. Let j = 0.01 + o. Which is the nearest to -0.1? (a) j (b) 4 (c) -3
a
Let x = -0.268 + 0.268. What is the closest to x in -3, 0.3, 0.1, 7/5?
0.1
Let m = 38 + -38.4. What is the closest to 0 in 1, 1/5, m?
1/5
Suppose 379 = -4*u + 367. Let k = 0 - 2. What is the nearest to -0.1 in k, 2/15, u?
2/15
Suppose -2*n + 2*j + 4 = -2, n + 5*j = -3. Let k = -303 - -2119/7. What is the nearest to -2 in 0.2, n, k?
k
Let x = 62 + -61.974. Let b = x + -6.026. What is the closest to -0.1 in b, 4, -0.3?
-0.3
Let d = -11327 - -11325. Let u(t) = t**2 - 2*t + 1. Let r be u(1). Let k = -469 + 6101/13. Which is the nearest to d? (a) r (b) k (c) 0.5
a
Let q(g) = -2*g + 24. Let l be q(8). Suppose -4*k - 4*f = -20, -5*k + 18 + 7 = 2*f. Suppose -3 = k*u - l. Which is the nearest to u? (a) -4/5 (b) 0.2 (c) 0
b
Let j = -2.1 + 1.1. Let t be 6/(2 - 2 - -4). What is the closest to t in j, 2/7, -0.3?
2/7
Let t be (-664)/(-96) + -7 + 1/(-6). Which is the closest to t? (a) -4 (b) -0.1 (c) 2/11
b
Suppose -1 = 75*j + 74. Which is the nearest to -39/8? (a) -5 (b) j (c) -3
a
Let d = -2 - -1. Let j be 7 + 845/(-234)*2. What is the closest to j in d, 8, -0.2?
-0.2
Let d = -95.4 + 95. What is the closest to 0 in 2/3, -54, 0.5, d?
d
Let u be (-7 - -4)/(3 - 81/30). Let h = 10 - 15. Let g be (h/(-5))/(2/u). What is the closest to -1 in -2/9, -2/19, g?
-2/9
Let v(p) = 7*p + 52. Let f be v(-8). Let z(b) = -2*b - 3. Let q be z(-2). What is the nearest to q in 3, f, 0.3?
0.3
Let o be ((-1)/8)/(2/6). Let c = -0.1 - 0.9. Let g = -87 - -92. What is the nearest to c in o, g, -0.2?
o
Let i = -88 + 77. Let s = -18 + 19. What is the nearest to s in i, -4, 0.2?
0.2
Let i = -32 + -17. Let x = 44 + i. Which is the nearest to -0.2? (a) -1 (b) -0.8 (c) x
b
Let i = -1405 - -1404. Which is the closest to 0.03? (a) -1/8 (b) -3 (c) i (d) 0
d
Let p = -152 + 29. Let o = -120 - p. Let q = 0.3 - 0.4. Which is the closest to q? (a) 2 (b) -0.1 (c) o
b
Let n = 130.02 + -127. Let z = n - 3. Let t = -0.08 - z. Which is the nearest to 1? (a) -4 (b) -3 (c) t
c
Let a = 1.97 + 0.03. What is the closest to -19 in a, -0.5, -4?
-4
Let d = -17.08 + 1.78. Let f = d + 15. Which is the closest to 1/7? (a) f (b) -5 (c) 2/11
c
Let p = -204 - -204.1. Let m be (-4)/(-8) + 3/(-22). What is the nearest to p in 4, m, 1/4?
1/4
Let w be 6/8 + 2094/(-2760). Let m = -47/115 - w. What is the closest to -1/5 in 2/17, m, 4?
m
Let h = -0.47 + 3.47. What is the closest to 0.2 in -4, 0.7, h?
0.7
Let w = 124/3 - 42. Let m(g) = -22*g - 132. Let v be m(-6). Which is the closest to w? (a) 0.2 (b) v (c) -3
b
Let b be (13/(-3003)*7)/(1/6). Let u = -1 - 0. What is the closest to u in 4, -0.4, b?
-0.4
Suppose -3*m - 39 = -4*t, 22 = 2*t + m + 15. What is the nearest to 1 in t, 0.3, -0.2?
0.3
Let l be 4/6*3/(-13). Let s = 290 - 293. Which is the nearest to 1? (a) l (b) s (c) -1/4
a
Let d = -0.948 + -0.052. What is the nearest to 46 in d, 5, -2?
5
Let o = 0.772 - 0.172. What is the nearest to 3 in -2/17, o, 0?
o
Let x = -140 + 137. Which is the nearest to -22? (a) 5 (b) x (c) -1 (d) 1/4
b
Let w = 0.4 + -0.5. Let z = w - -0.14. Let y = 1.96 + z. What is the closest to 3/2 in -0.5, y, 3?
y
Let y(v) = 5*v. Let h(g) = 10*g. Let t(x) = 4*h(x) - 7*y(x). Let s be t(2). Let m = s - 9. Which is the nearest to 0? (a) m (b) 0.5 (c) -2
b
Let x be 4 + (-3)/3*3. Let c = 0 - -2. Let j = 84 + -88. What is the nearest to x in j, 0.5, c?
0.5
Let u = 1 - -2.5. Let y = 4 - u. Let d be (-3 - 3)/((-27)/(-18)). Which is the closest to 0.3? (a) y (b) 1/8 (c) d
b
Let a = 783 + -783. What is the nearest to a in -1/2, -2/7, -65?
-2/7
Let q = -1569 - -1574. What is the nearest to 1 in -28/5, -6, q?
q
Let u = -2.8 + 84.8. Let k = 81.7 - u. Which is the nearest to k? (a) 5/2 (b) 3 (c) -3
c
Let x = 13 - -39. Let z = -46.6 + x. Let a = z + -0.4. What is the closest to 1 in -1/2, a, 1?
1
Let l = -2430 - -2430.1. Suppose i - 5*c = 2*i - 22, -2*i + 2*c - 16 = 0. What is the closest to -0.05 in l, 2, i?
l
Let g = 29 - -56. Let t = -87.8 + g. Which is the nearest to 0? (a) 3 (b) t (c) 1
c
Suppose -2*i = -d + i - 9, 0 = -2*d - 2*i + 22. Let u(s) = s**3 - 5*s**2 - 8*s + 13. Let h be u(d). Which is the closest to 1? (a) -4 (b) -1 (c) h
c
Suppose 3*u - n + 21 = 0, -4*u - 2*n - 9 - 19 = 0. Which is the nearest to u? (a) 3 (b) -5 (c) 5
b
Let z = -98 - -101. Which is the nearest to 0.2? (a) -2/9 (b) -1 (c) z
a
Let g = 4 - 2. Let x be 8/(-12)*-3 - 0. Let i be x*2/(-28)*1. Which is the closest to -2/3? (a) i (b) -1 (c) g
b
Let t = -7.9 - -11. Let k = 2.9 - t. Which is the nearest to 1/3? (a) k (b) 1 (c) 0.1
c
Suppose -5*t - i = -t + 81, t = i - 24. Let c be (-14)/t - (-14)/(-12). What is the closest to c in -0.4, 0.4, 3?
-0.4
Let b = 0.4 + -3.9. Let s = 3.6 + b. What is the nearest to s in -0.2, -0.4, -3/4?
-0.2
Let p = -1096 + 1099.995. Let j = p + 0.005. Which is the closest to -2/9? (a) -0.5 (b) 3 (c) j
a
Let o be 6/(-10)*(-155)/(-465). Let k = -31/120 - -2/15. What is the nearest to k in o, -3/8, -0.4?
o
Suppose 0*d = 5*d. Let h = -6 - -5.4. Which is the nearest to d? (a) 2 (b) h (c) -1/3
c
Let m = 18 + 59. Let v = -77 + m. Which is the nearest to 1? (a) 3 (b) v (c) 5
b
Let k = -53.08 - -35.2. Let v = -41 - -23. Let j = v - k. What is the nearest to -0.1 in j, -2/13, 1/2?
j
Let l = 561 - 562. Which is the closest to 7? (a) -2/7 (b) 5 (c) 0.5 (d) l
b
Let g be (-57 - -54)*(-8)/(-18)*3. What is the closest to -3 in -3, 0.4, -2/13, g?
-3
Let j(t) = -60*t + 484. Let i be j(8). Which is the closest to -1/2? (a) i (b) -2 (c) -12/7
c
Suppose 0 = -6*q + 20 - 14. Which is the nearest to -2/7? (a) q (b) -14/3 (c) -2
a
Let k = 176.3 + -31.3. Let h = 144.8 - k. What is the closest to 1/3 in 3, h, -5?
h
Let i be 10/4 + (-115)/46. What is the closest to 0.1 in -4/5, 0.5, i, 4?
i
Let i = -6/329 - -100/329. Let p(c) = c + 9. Let n be p(-8). What is the closest to 1 in 5, i, n?
n
Let u = 158/815 + 1/163. Which is the closest to 0.1? (a) -1/4 (b) -0.1 (c) u (d) -0.3
c
Suppose -2*j - 58 + 58 = 0. Let t = 1.1 + 0.6. What is the closest to 0 in t, j, -3?
j
Let x be (-3 + (2 - 0))*(-9)/(-21). What is the nearest to 0.1 in 1/4, -3, x?
1/4
Let h be 48/7 + (-2 - 5). What is the nearest to 1 in 2/3, -0.2, h?
2/3
Let t = -3 + -2. Let d = 908 + -910. Which is the closest to -1? (a) t (b) -11/5 (c) d
c
Let h = 2.227 + -0.227. What is the closest to 1 in 5, h, -1?
h
Let x = -32.7 + 32. Let m = -0.74 - x. Which is the nearest to 0? (a) 3 (b) m (c) -2
b
Suppose 0*x = -5*r + 4*x - 13, -4 = -2*x. Let p = -0.86 + -1.14. What is the closest to r in p, 5, -0.1?
-0.1
Let t be (-8)/(-18) - (-266)/(-315). Which is the nearest to 1/4? (a) 0.11 (b) t (c) 0.05
a
Let u = 339 + -338. What is the nearest to u in 1/6, -3, 1/3?
1/3
Let t be (-2)/1 + 73335/35. Let z = -2098 + t. Let o = z - -179/35. Which is the closest to 2/7? (a) -5 (b) 0 (c) o
c
Let j = 2757.8 + -2757. What is the nearest to 0 in j, 7/3, -2/15?
-2/15
Let h = -19.94 + 20.37. Which is the closest to -2/5? (a) 0.5 (b) -5 (c) h
c
Let m = 0.78 + -0.38. Let h(i) = -i**3 - 3*i**2 + 5*i + 5. | {
"pile_set_name": "DM Mathematics"
} |
, 1.
-3, 1, 5, 35
Put -1, -3, 1, -13 in decreasing order.
1, -1, -3, -13
Put -27, -3, -1, 0.5 in decreasing order.
0.5, -1, -3, -27
Put -4, 5, -23 in increasing order.
-23, -4, 5
Sort -10, 0.4, -0.4, -0.03 in decreasing order.
0.4, -0.03, -0.4, -10
Put -0.3, 0.017, 1/2, -3 in ascending order.
-3, -0.3, 0.017, 1/2
Put 6, 2, -0.05 in increasing order.
-0.05, 2, 6
Put 8, 3, 3/4, -0.3, -6 in descending order.
8, 3, 3/4, -0.3, -6
Sort 5, 4, 19 in increasing order.
4, 5, 19
Put 7, 5, 2, -3 in descending order.
7, 5, 2, -3
Sort -8, 2, -11, -1, 1 in descending order.
2, 1, -1, -8, -11
Sort 1, -4, 0, -35 in decreasing order.
1, 0, -4, -35
Sort -4, 429, -1 in descending order.
429, -1, -4
Put 1.2, -124, 0.5, 1 in ascending order.
-124, 0.5, 1, 1.2
Sort -84, 5, 10, 0 in ascending order.
-84, 0, 5, 10
Sort 32, -17, 4, 2.
-17, 2, 4, 32
Put 4, -332, -4, -2, 2 in ascending order.
-332, -4, -2, 2, 4
Put 2/7, 17, -33 in increasing order.
-33, 2/7, 17
Put -2.8, 1/2, 0.1, 1 in decreasing order.
1, 1/2, 0.1, -2.8
Sort 3, -4, -0.2, -0.4.
-4, -0.4, -0.2, 3
Put 5, -846/11, 3/2 in decreasing order.
5, 3/2, -846/11
Put 4, -0.36, 0 in descending order.
4, 0, -0.36
Put 3, 0, -2, 5, -35 in ascending order.
-35, -2, 0, 3, 5
Sort 4/187, 3/7, -0.2, -1/4, -3/5 in ascending order.
-3/5, -1/4, -0.2, 4/187, 3/7
Sort -11, 1, 5, -2, 52 in decreasing order.
52, 5, 1, -2, -11
Sort 6, 62, -3, -4 in descending order.
62, 6, -3, -4
Sort 1, -2, 5, -4 in decreasing order.
5, 1, -2, -4
Put -4, 2171, -3 in ascending order.
-4, -3, 2171
Sort 3, 5, -4, -2.
-4, -2, 3, 5
Put -2/49, -3, 5/2, 8 in ascending order.
-3, -2/49, 5/2, 8
Sort 5, -4, 42 in increasing order.
-4, 5, 42
Sort -1, -3, 146, 2 in decreasing order.
146, 2, -1, -3
Sort -1/6, 5, 625, -0.1 in increasing order.
-1/6, -0.1, 5, 625
Sort -5, 5, 30, 4 in descending order.
30, 5, 4, -5
Put -69, -8, 0 in descending order.
0, -8, -69
Sort 3, 28, -15 in decreasing order.
28, 3, -15
Sort -0.5, -4, -2, -5 in descending order.
-0.5, -2, -4, -5
Sort -0.4, 8/5, 0.4, -2, -18 in descending order.
8/5, 0.4, -0.4, -2, -18
Sort 4, 27, 12, 5.
4, 5, 12, 27
Sort -4, 2, 4, -5, 142 in increasing order.
-5, -4, 2, 4, 142
Sort -4, 66, 4 in increasing order.
-4, 4, 66
Sort -4, 3, -2, -39, -41 in decreasing order.
3, -2, -4, -39, -41
Sort 1, 131, 13, 2, -1 in ascending order.
-1, 1, 2, 13, 131
Sort 1, -0.4, 0.11, 0.2, 1.1 in decreasing order.
1.1, 1, 0.2, 0.11, -0.4
Put 4, -1349, -4 in increasing order.
-1349, -4, 4
Put -7, -3, -5, -35 in ascending order.
-35, -7, -5, -3
Sort -0.22, 1/2, -0.17 in ascending order.
-0.22, -0.17, 1/2
Sort -1, 17, -49 in descending order.
17, -1, -49
Put -0.2, 0, 26, 0.2, 0.1 in ascending order.
-0.2, 0, 0.1, 0.2, 26
Put 0, 5, 89 in increasing order.
0, 5, 89
Sort 3, -5, 5 in increasing order.
-5, 3, 5
Sort 5, 12, 0 in increasing order.
0, 5, 12
Sort -5, -2, 173, 2, 0.
-5, -2, 0, 2, 173
Sort 127, 5, 1.
1, 5, 127
Sort 28, 3/2, 4.
3/2, 4, 28
Sort -2, 5, 754 in decreasing order.
754, 5, -2
Sort -5, 18, 5, -1 in decreasing order.
18, 5, -1, -5
Sort 106, -4, 4, 1 in descending order.
106, 4, 1, -4
Sort -4, -9, 4.
-9, -4, 4
Put 1, 0.051, 2 in decreasing order.
2, 1, 0.051
Sort 0.2, -48, -5.
-48, -5, 0.2
Sort 2, 1/67, 0 in increasing order.
0, 1/67, 2
Sort -60, 1/4, -2/13 in ascending order.
-60, -2/13, 1/4
Put -0.05, -2/5, 19 in decreasing order.
19, -0.05, -2/5
Sort -1, 0.3, 4, -3.1 in decreasing order.
4, 0.3, -1, -3.1
Sort 24, -1, 0, 0.4.
-1, 0, 0.4, 24
Put 248, -5, 14 in ascending order.
-5, 14, 248
Put -6/17, -2/23, 2/63 in decreasing order.
2/63, -2/23, -6/17
Put 0, -0.3, 1, -1 in descending order.
1, 0, -0.3, -1
Put -0.07, -1, 13, 0.4 in increasing order.
-1, -0.07, 0.4, 13
Sort 2, 7, 0.8.
0.8, 2, 7
Sort 3.4, 3, -20/3 in ascending order.
-20/3, 3, 3.4
Sort 0, 4, 379, 1 in descending order.
379, 4, 1, 0
Sort 2, 0.4, 1/2, 0.
0, 0.4, 1/2, 2
Put -7, 74, 0, 3 in decreasing order.
74, 3, 0, -7
Sort 5, 4, -1501 in descending order.
5, 4, -1501
Sort -4/3, -1, -0.111, 4, -2/3 in increasing order.
-4/3, -1, -2/3, -0.111, 4
Put 2/37, -754, -2/7 in increasing order.
-754, -2/7, 2/37
Sort -5, 1, 5, 2/11, -3/2.
-5, -3/2, 2/11, 1, 5
Sort -0.1, -4, -4045 in decreasing order.
-0.1, -4, -4045
Sort 1/3, -1, 0.117 in decreasing order.
1/3, 0.117, -1
Put 6, 2, 1/11 in increasing order.
1/11, 2, 6
Put 4, -6374, 0.2 in descending order.
4, 0.2, -6374
Put 2, 62, 0 in decreasing order.
62, 2, 0
Put 0.2, 0.038, 0 in decreasing order.
0.2, 0.038, 0
Put 25, 3/7, 0.2, 0.5, 1/7 in descending order.
25, 0.5, 3/7, 0.2, 1/7
Put 2, 6, -5 in descending order.
6, 2, -5
Sort -1, 4, -2694, -2 in decreasing order.
4, -1, -2, -2694
Sort -28, 5, 2, -5 in ascending order.
-28, -5, 2, 5
Put 0.4, -1/3, -4, 30, -3 in increasing order.
-4, -3, -1/3, 0.4, 30
Put 3, 0, 2, -4 in descending order.
3, 2, 0, -4
Sort 2, 0.3, 7 in increasing order.
0.3, 2, 7
Put -3, 0, -295 in decreasing order.
0, -3, -295
Put 0.8, 0, -2, -1 in ascending order.
-2, -1, 0, 0.8
Sort -75, -3, 3 in increasing order.
-75, -3, 3
Sort 5/2, 0, 2, 4.
0, 2, 5/2, 4
Put -1/3, 2/71, 1 in descending order.
1, 2/71, -1/3
Sort 3, -583, -3.
-583, -3, 3
Put 362, -5, 2 in descending order.
362, 2, -5
Put -1, -14, -3, 23 in increasing order.
-14, -3, -1, 23
Sort 8, 13, -3, 2, -4.
-4, -3, 2, 8, 13
Sort 3, -3, -5, 1/7, -0.2 in decreasing order.
3, 1/7, -0.2, -3, -5
Sort -3, -1/6, 0.034, -1, 1.
-3, -1, -1/6, 0.034, 1
Sort -0.5, 1/2, 6, 1/89, 3.
-0.5, 1/89, 1/2, 3, 6
Sort -3, 8, 3, 6 in decreasing order.
8, 6, 3, -3
Put -5, 0, 1, -17, 5 in increasing order.
-17, -5, 0, 1, 5
Sort -6, -1, 2, 8 in increasing order.
-6, -1, 2, 8
Sort -195, -5, -16 in decreasing order.
-5, -16, -195
Sort -0.2, 1/7, -527 in decreasing order.
1/7, -0.2, -527
Put -2/7, 0.5, 0.7, -2/39 in decreasing order.
0.7, 0.5, -2/39, -2/7
Sort -3, 4, -2, 0.5, 14 in descending order.
14, 4, 0.5, -2, -3
Sort -1, -4, 5, 0 in descending order.
5, 0, -1, -4
Put -3, -2, 3, 16, -4 in increasing order.
-4, -3, -2, 3, 16
Put 5, 3, -12, 0, 42 in increasing order.
-12, 0, 3, 5, 42
Sort 3, -5, -93, 1.
-93, -5, 1, 3
Sort -10, -4, 3 in decreasing order.
3, -4, -10
Sort -76, -5, -14 in ascending order.
-76, -14, -5
Sort -0.5, 0.4, -3/8, 1/16, 0.1 in ascending order.
-0.5, -3/8, 1/16, 0.1, 0.4
Sort 10, 0, 4.
0, 4, 10
Sort 4, 12, 20.
4, 12, 20
Put 4, 2, -7, 1 in decreasing order.
4, 2, 1, -7
Put -43, 2, -0.1 in decreasing order.
2, -0.1, -43
Sort -1, -55, 4.
-55, -1, 4
Put -0.3, -0.5, -4, 14/9 in decreasing order.
14/9, -0.3, -0.5, -4
Sort 0.097, -2/9, 1 in ascending order.
-2/9, 0.097, 1
Sort 3, 5, 47, 4 in ascending order.
3, 4, 5, 47
Sort 4, -20, -4 in ascending order.
-20, -4, 4
Put -3, -14, 2, -15 in increasing order.
-15, -14, -3, 2
Put 3, -37, 1, -6 in decreasing order.
3, 1, -6, -37
Sort -5, 1, -1, 40 in descending order.
40, 1, -1, -5
Put -31, -4, 29, -2, 2 in decreasing order.
29, 2, -2, -4, -31
Sort -4, 3015, 1, -2 in decreasing order.
3015, 1, -2, -4
Sort 0.3, -5, 3.
-5, 0.3, 3
Put -2/11, -1/4, -3, 0.4 in descending order.
0.4, -2/11, -1/4, -3
Sort 2/9, 1, -0.5, 4, 1/32 in descending order.
4, 1, 2/9, 1/32, -0.5
Put 29, -2, 0, 2/15 in decreasing order.
29, 2/15, 0, -2
Put -19, -35, 3/7 in increasing order.
-35, -19, 3/7
Sort 0.3, 1, 82/31 in decreasing order.
82/31, 1, 0.3
Put -3, 0, 5, 10.7, 2/11 in ascending order.
-3, 0, 2/11, 5, 10.7
Put -0.4, -3, 71, -0.5 in increasing order.
-3, -0.5, -0.4, 71
Sort 0.09, -3, 3, -0.4, -0.5.
-3, -0.5, -0.4, 0.09, 3
Sort 0, 1, 231.
0, 1, 231
Put 6, -2, 743 in increasing order.
-2, 6, 743
Put 13, 2/5, 207 in increasing order.
2/5, 13, 207
Sort -3, -4, -1/254, -1/2 in increasing order.
-4, -3, -1/2, -1/254
Sort 1/2, -1/6, -1/23, -2 in decreasing order.
1/2, -1/23, -1/6, -2
Put 2/5, -0.1, -2/21, -1 in decreasing order.
2/5, -2/21, -0.1, -1
Put 5, 4, 8, -13, -2 in ascending order.
-13, -2, 4, 5, 8
Put 1444, -4, 0 in increasing order.
-4, 0, 1444
Put 0, -10, -4, -1 in increasing order.
-10, -4, -1, 0
Put 4, 68, 9 in decreasing order.
68, 9, 4
Sort -1, -164, 0.
-164, -1, 0
Put -1, 0, -5, 23 in descending order.
23, 0, -1, -5
Sort 0, 1, 16 in descending order.
16, 1, 0
Put -3/4, -2/9, -60, -4, -5 in increasing order.
-60, -5, -4, -3/4, -2/9
Sort -5, -4, 5, -8.
-8, -5, -4, 5
Sort 3, -0.1, 1/2, 2/9 in increasing order.
-0.1, 2/ | {
"pile_set_name": "DM Mathematics"
} |
24 = -703*g + 508*g - 1297*g for g.
47
Solve -1069 + 3630 = -197*t for t.
-13
Solve -30*o - 368*o - 153*o + 31407 = 0 for o.
57
Solve -942*y = 16523 + 73909 for y.
-96
Solve 0*g + 123*g - 12*g + 4551 = 0 for g.
-41
Solve -891*a + 190*a = 103*a - 14524 + 4072 for a.
13
Solve -51*l - 10*l = 51*l - 6*l - 2120 for l.
20
Solve -46*r - 3808 = 13*r + 34*r + 5678 for r.
-102
Solve 0 = -569*o - 168*o - 13*o - 648*o + 30756 for o.
22
Solve 136500 = -7391*w - 129576 for w.
-36
Solve 500*y + 213512 = -371*y - 1182*y for y.
-104
Solve 0 = 417*v + 3631*v - 73*v - 99381 - 27819 for v.
32
Solve 0 = 77135*w - 77107*w + 980 for w.
-35
Solve 184 + 230 = -18*j for j.
-23
Solve 17335*j - 858703 = 146727 for j.
58
Solve 10510 + 4306 - 4615 + 2734 = 199*s for s.
65
Solve -12514 = 731*f + 386*f - 17818 - 18153 for f.
21
Solve 229*y - 92469 - 165051 = -2826*y + 95*y for y.
87
Solve -1459285 - 184425 = 23553*k - 245717 + 863095 for k.
-96
Solve 487*c + 99372 = -129*c - 658*c for c.
-78
Solve -17374 = 3152*k + 14146 for k.
-10
Solve -274*d + 23300 = 476*d - 517*d for d.
100
Solve 62677 = -925*u + 19202 for u.
-47
Solve 2321*u + 83*u = -239*u - 105720 for u.
-40
Solve -111*h - 308670 + 311001 = 0 for h.
21
Solve 0 = 1036694*h - 1036649*h - 225 for h.
5
Solve -1517*y - 7285 = -90*y - 55803 for y.
34
Solve -1000*n - 858*n - 878*n + 2592*n = -6192 for n.
43
Solve -5586 = -106*w - 1346 for w.
40
Solve 1917 = 333*z - 12069 for z.
42
Solve 0 = 1440*m - 5699 + 57539 for m.
-36
Solve 0 = 3293*i - 20994 - 48159 for i.
21
Solve 1004*l - 1576*l = -764*l - 8832 for l.
-46
Solve -53*k + 1907 = -478 for k.
45
Solve -390*z + 1166*z = 357*z + 360*z - 649 for z.
-11
Solve 127*v + 137 = -9*v - 14*v + 13*v for v.
-1
Solve 49731 = 11617*v - 10173*v - 2253 for v.
36
Solve 86*j = 3*j - 39*j - 155*j + 29639 for j.
107
Solve 548020 - 546484 = -96*w for w.
-16
Solve 34980 = -511*a + 48266 for a.
26
Solve -6525*p - 133059 = -22134 for p.
-17
Solve 6720 = -93784*l + 94008*l for l.
30
Solve -587*f - 204*f + 96*f - 13781 + 48531 = 0 for f.
50
Solve 0 = -6436*k + 1785*k + 306966 for k.
66
Solve -99498 - 67887 = -2319*q + 15816 for q.
79
Solve -11894 - 907 = -462*s + 1521 for s.
31
Solve -11040 = 15*a - 11625 for a.
39
Solve -25*r - 73*r - 1707 - 1857 = 1924 for r.
-56
Solve -81*j - 155 = -884 for j.
9
Solve -898 + 726 = -1039*f + 2059 + 1925 for f.
4
Solve 0 = 730*s + 12375 + 22665 for s.
-48
Solve 236388*q - 235959*q = -23166 for q.
-54
Solve -116*v = -5041 + 4345 for v.
6
Solve -210 - 40 = -19*s + 87 - 14 for s.
17
Solve 0 = 48188*l + 48104*l - 96402*l - 5390 for l.
-49
Solve -45*b = 84*b + 120*b + 9*b - 516 for b.
2
Solve 89*p = -51*p - 198 + 2998 for p.
20
Solve -11211 = 2458*a + 1395*a + 1669*a + 5355 for a.
-3
Solve -241*v + 16382 - 15418 = 0 for v.
4
Solve 41*c + 19*c - 990 = 5*c for c.
18
Solve -8414*f - 8763 = -8345*f for f.
-127
Solve -198359 = -1756*j - 49099 for j.
85
Solve -2857*c - 25589 = 185615 - 45498 for c.
-58
Solve -160*v - 851*v = -260*v for v.
0
Solve 0 = 46*l + 21833 - 20775 for l.
-23
Solve -74*m - 90050 = -89014 for m.
-14
Solve 3015 = -90*x - 55*x + 22*x - 78*x for x.
-15
Solve 56*b + 2574 = 200*b - 1007 - 883 for b.
31
Solve 0 = -627*g - 39354 - 1151 + 8528 for g.
-51
Solve 105*s + 1785 + 304 - 978 = -1619 for s.
-26
Solve -806*b + 2248*b + 28840 = 0 for b.
-20
Solve -1163 = -82*d + 426 + 611 + 998 for d.
39
Solve -125*t + 212*t - 1470 = 136*t for t.
-30
Solve -35574 = -589*f + 148*f + 78*f for f.
98
Solve 31925*i - 30946*i = -50908 for i.
-52
Solve 474312*n - 110000 = 476312*n for n.
-55
Solve 354*l + 114*l + 401*l = -146*l - 48720 for l.
-48
Solve 35330042 = -269*p + 35291306 for p.
-144
Solve -77289*v + 76987*v - 12080 = 0 for v.
-40
Solve -19*x - 184 + 6 = -45 for x.
-7
Solve 986*w + 4184 = -3839 - 5781 for w.
-14
Solve 13156 = -9123*g + 9031*g for g.
-143
Solve -118*m - 8514 = 337*m + 344*m + 147*m for m.
-9
Solve 140*q - 164*q + 65*q = -39*q for q.
0
Solve -33*t + 1140 = -16*t + 21*t for t.
30
Solve 11124 = 71*b + 321*b + 20*b for b.
27
Solve -79168 = -315*j + 43*j - 965*j for j.
64
Solve 613 + 375 = -31*a + 197*a - 8 for a.
6
Solve 112*o - 333*o = 7514 for o.
-34
Solve 0 = 2228214*s - 2228482*s + 20904 for s.
78
Solve 10915*a + 4914 = 10978*a for a.
78
Solve 1032*v + 443404 = 543508 for v.
97
Solve 0 = -156*j - 604*j - 5021 - 29939 for j.
-46
Solve -178*w - 9451 = 267 - 118 + 3928 for w.
-76
Solve -978298*g - 18354 = -977976*g for g.
-57
Solve 44*a + 140 = -10*a + 68*a for a.
10
Solve -814*p + 28138 - 19022 = -39724 for p.
60
Solve 2020 + 15630 = -1090*f - 1256 - 3984 for f.
-21
Solve -249*n + 1403 = -167 + 76 for n.
6
Solve -94*c + 610*c = -433*c + 11388 for c.
12
Solve 0 = 30*z - 368 - 472 for z.
28
Solve -1736 + 7211 = -219*x for x.
-25
Solve -79*v - 317*v - 12960 = 273*v + 195*v for v.
-15
Solve -3229*r + 55354 - 6257 = -1536*r for r.
29
Solve 0 = -104*k - 149721 + 158769 for k.
87
Solve -1789*v - 140196 = -5076*v - 1720*v for v.
28
Solve -928878 = 85*n + 183*n + 7046*n for n.
-127
Solve -4174 = 299418*w - 299253*w + 1931 for w.
-37
Solve 8463*y - 39183 = 8816*y for y.
-111
Solve 77544*d + 271490 = 74350*d for d.
-85
Solve -119*x - 57018 + 1794 = 648*x for x.
-72
Solve -80*k - 3605 = 30*k + 24*k + 3363 for k.
-52
Solve -3403*x = 5208*x + 284163 for x.
-33
Solve -171*g + 122*g + 37630 = 524*g + 137*g for g.
53
Solve -169*y = 38*y + 9561 + 263 - 95 for y.
-47
Solve 1042*o + 24247 + 90373 = 0 for o.
-110
Solve 1553*m + 15369 = 1226*m for m.
-47
Solve 3169924 = -56*y + 3169532 for y.
-7
Solve 6917*b - 54425 + 59368 = -617587 for b.
-90
Solve 191369*y + 1211 = 191196*y for y.
-7
Solve 1354*x + 110792 = -1164*x for x.
-44
Solve -570*t + 20556 = 103*t + 128*t - 63549 for t.
105
Solve 0 = 404886*r - 404860*r + 988 for r.
-38
Solve -24395*s - 11952 = -23731*s for s.
-18
Solve -7254*h - 2550*h = 3151*h + 909*h + 69320 for h.
-5
Solve 209*i - 591*i - 1886 = -296*i + 694 for i.
-30
Solve 364*g + 349485 = 4235*g + 101741 for g.
64
Solve 0 = -7322*v - 253382 - 376773 - 387603 for v.
-139
Solve 1568 = -335*u - 2452 for u.
-12
Solve 70*v + 3060 = -59*v + 27*v for v.
-30
Solve 0 = -2833*o + 1202*o for o.
0
Solve -12040*l + 484896 + 285039 = -492799 + 323614 for l.
78
Solve -1987*s - 8697 = 932*s + 45160 + 48308 for s.
-35
Solve 5505*n - 4950*n + 15529 + 11666 = 0 for n.
-49
Solve 1528*s + 62321 + 58250 - 1681 = -69054 for s.
-123
Solve -876*b + 135699 - 8190 = 3993 for b.
141
Solve 89032*v - 84123*v = -250359 for v.
-51
Solve 45223 + 7432 = 2264*b - 18366 - 71611 for b.
63
Solve -140*x + 6622 = 48*x - 68*x + 34*x for x.
43
Solve 3358 = 116*m - 1597 - 1483 - 1914 for m.
72
Solve 379*a + 1498 - 410 = -807 for a.
-5
Solve 1138*t - 45124 = -782*t - 192964 for t.
-77
Solve -219070*g + 219366*g - 12002 = -41602 for g.
-100
Solve 31*q + 443*q = -1754*q - 374*q + 26020 for q.
10
Solve -977*b + 513*b - 1275 - 7924 - 1473 = 0 for b.
-23
Solve 45466 = 82*s + 46532 for s.
-13
Solve -550*o - 676*o = 481*o + 56331 for o.
-33
Solve -341*z + 118*z = 1830*z + 117021 for z.
-57
Solve -761222 = 186*o - 759176 for o.
-11
Solve 569011 - 6908 = -2257*u - 2724*u + 9212 for u.
-111
Solve 0 = -178*u + 238*u - 1856*u + 95188 for u.
53
Solve 135*x + 2977 = 637*x + 15954 + 11119 for x.
-48
Solve 182*c + 6834 = -254*c - 6876 - 242 for c.
-32
Solve 0 = -154*i + 71038 - 60566 for i.
68
Solve 0 = 359*m + 977472 - 967061 for m.
-29
Solve 39*h = 149*h + 51*h + 96*h - 2827 for h.
11
Solve -257*l + 269*l = 24 for l.
2
Solve -2021*v + 52466 - 6662 = -633*v for v.
33
Solve -7364 = 252*r - 3171 + 7903 for r.
-48
Solve 0 = -442*o - 1319731 + 1373655 for o.
122
Solve -238*u - 2155 - 4491 = 18 for u.
-28
Solve 468*x + 5084 - 6001 + 11573 = -9468 for x.
-43
Solve 233*l + 2841 + 8791 = 789 + 1290 for l.
-41
Solve -427*a - 26*a - 19422 = 89*a + 537*a for a.
-18
Solve -2968*o - 612044 = 8409*o - 2614*o - 182657 for o.
-49
Solve 185446 = 134*i - 178897 + 350273 for i.
105
Solve 20677*n + 1553998 = -2517*n for n.
-67
Solve -1259*h + 627*h + 636*h - 1 = -117 for h.
-29
Solve 1537 - 6565 - 7798 = -393*o + 3680 for o.
42
Solve -615*j - 76536 = 74*j - 2124 for j.
-108
Solve -5965*o = 8724*o + 977972 + 250282 + 5622 for o.
-84
Solve 507*j - 285*j = -141*j for j.
0
Solve 66*a + 3094 - 778 = -127*a for a.
-12
Solve 0 = -310*a - | {
"pile_set_name": "DM Mathematics"
} |
111
What is ((-125895)/44)/(-109)*44/11?
105
What is (170/16*(-11220)/(-47685))/(745/(-4))?
-2/149
Calculate (-38)/589*-31*4.
8
Evaluate (-57)/228*384/(-40).
12/5
What is (2/16)/(35/350*390/(-36))?
-3/26
What is (-1*3)/(326/(36*14/378))?
-2/163
What is the value of (6300/4050)/(42/9)*-225?
-75
What is (-45*26/(-4095))/(((-2192)/(-14))/(-8))?
-2/137
Evaluate 3*(-147)/(568890/172)*(6/16)/3.
-1/60
(75/(-6))/(-5)*936/(-3510)*351/(-130)
9/5
(-1935)/1548*(3/(-90))/((-5)/(-140))
7/6
What is (76/3*(-165)/88)/(((-1504)/64)/(-47))?
-95
Evaluate (-1704)/(-1988)*10/(340/(-14)).
-6/17
What is the value of 22/((-418)/(-380)*6)?
10/3
37/((-4218)/(-9))*9/(108/32)
4/19
What is the value of 15/((-80)/37440*-270)?
26
Evaluate 6*160/(-768)*(-4)/(-6).
-5/6
What is the value of (-9)/(-1)*53/((-63918)/(-2278))?
17
5/(-5)*((-38)/228)/(2/(-72)*-2)
3
(36/(-30))/(54/72)
-8/5
Calculate (-2)/(-1)*378/1386*187/(-14382).
-1/141
What is 30*(-68)/(-600)*(-10)/(-22)*22?
34
What is (1/(-2)*16)/(2009/287)?
-8/7
Calculate (280/(-392))/(((-44)/14)/22).
5
Calculate (-3)/(55/20*(-1)/((-5)/(-20))).
3/11
What is (-441)/(-18)*(-230)/805?
-7
Calculate 587048/10483*(-2)/208.
-7/13
Evaluate ((364/(-65))/7)/((-7)/(-140)*(-56)/4).
8/7
Calculate (-29120)/(-3920)*7/2.
26
Evaluate 1*-4*345/180*3.
-23
What is ((-560)/(-25))/2*(-10)/(-44)*-11?
-28
What is the value of (-104)/1040*19/(1045/22)?
-1/25
Calculate ((27/(-42))/(-3))/((2/10)/(18/315)).
3/49
(((-9)/(-9))/((-21)/28))/((-14)/1428*-17)
-8
Calculate (-3)/(9/7)*-60*75/750.
14
((60/32)/(-5))/((-3)/(-10))*52480/3312800
-2/101
What is the value of (71148/(-882))/(33/(-9))?
22
Calculate (11*1)/(7*(-54)/2079*(-22)/16).
44
(32*(-47)/(-3760))/((-1)/((-20)/(-24)))
-1/3
1377/(-1377)*((-4)/8*-12)/37
-6/37
What is the value of 48/(-63)*-1*(-216)/288?
-4/7
Calculate -5*(-442)/(-340)*-12*6/(-585)*-5.
4
Calculate ((-6)/4)/((124/(-174406))/((-120)/2610)).
-97
Evaluate 17/((-459)/(-18))*51/(-4)*226/(-113).
17
((-102)/68)/((-2)/42)*12/(-7)
-54
15*(-52)/112710*-17
2/17
806/(-4030)*220/(-2)
22
Evaluate (((-3)/(-6))/(9*(-4)/(-72)))/(294/(-12)).
-2/49
Evaluate (20930/(-780))/((-14)/(-6)).
-23/2
What is ((-28)/6*((-3456)/112)/36)/(-298)?
-2/149
Calculate 10/15*9/2*(-1210)/(-330).
11
Calculate ((-8)/(1026/(57/(-3))))/(1/(-30)*-8).
5/9
Evaluate (252/12)/21*1*(-10)/(-145).
2/29
What is the value of (1/((-126)/(-15)))/(((-36855)/324)/91)?
-2/21
Calculate (-43)/(2236/(-1092))*5/60*7.
49/4
What is the value of (1*(-4)/12)/(970/5820)?
-2
What is 23520/560*2/(-12)*10?
-70
Evaluate (((-68)/23)/1)/((-15786)/181539).
34
Calculate ((-18)/(-39))/(1110/(-312650)).
-130
What is (4/(-66))/(-12*40/5280)?
2/3
((-25)/((-7475)/117))/((-15)/35*(-105)/(-30))
-6/23
Evaluate (-4)/(-45)*(-12)/(-12*14)*(-3822)/(-728).
1/30
What is the value of 1/(238/(-560)*-20)?
2/17
What is 15*((48/1020)/(-2))/((-27)/(-45))?
-10/17
Evaluate (2811/51535*40/(-6))/((-6)/22).
4/3
What is the value of (1/3*-1*4332/3610)/((-4)/110)?
11
90/1320*28*22/231
2/11
What is the value of ((-385)/693)/((-37)/(-666))?
-10
Calculate ((-4480)/(-620))/(-56)*-31.
4
Evaluate 62128/1059*18/(-48).
-22
(-5)/(-9)*-192*(-111)/5920
2
Calculate (72/15)/(388/776*(-8)/(-30)*3).
12
Calculate (-9*2/(-51))/(-77*(-780)/23205).
3/22
What is (-22320)/13020*14/(-20)?
6/5
What is the value of ((-9)/1449)/((-881)/20263)?
1/7
(((-1007)/6042)/((-5)/(-9)))/((-6)/1)
1/20
Calculate -23*8/(-644)*-3*196/12.
-14
What is 3*((-68)/48)/17*21/(-420)*-5?
-1/16
What is (54/(6264/(-1450)))/(-40)?
5/16
What is the value of ((-17038)/4868)/(14/(-400))?
100
What is the value of ((-3)/4)/(23/((-621)/36)*7/(-224))?
-18
What is the value of (1/14*-6)/((-6030)/2345)?
1/6
(((-63)/343)/9)/((4/(-4))/119)
17/7
Evaluate ((20/(-200))/(66/2970))/(-1*(-1)/12).
-54
What is -76*(-88)/(-35112)*(-14)/(-1)?
-8/3
Calculate ((-1)/(-4))/(25/(3500/(-35)))*23.
-23
(-24)/45*11970/(-1140)*40/2
112
What is (((-8)/33)/4)/(((-5880)/189)/(-140))?
-3/11
(-481)/(-6734)*1470/7
15
What is the value of ((-2715)/(-180))/(-181)*2/4?
-1/24
What is the value of (((-31720)/52)/122)/(50/(-8))?
4/5
20*(4175/(-7500))/167
-1/15
Calculate 13/(-25)*(-232760)/(-3933644).
-2/65
((-44)/(-88))/((8/44)/((-20)/10))
-11/2
Evaluate 125/(156250/600)*-5*5/(-122).
6/61
What is (-32600)/(-5216)*((12/5)/(-3))/(1/(-5))?
25
What is (105/(14490/3496))/(60/(-135))?
-57
Calculate (39/(3783/194))/(-2*(-3)/267).
89
575/60375*6/(-5)
-2/175
What is the value of (610/31110*(-51)/(-12))/3?
1/36
What is the value of ((-1260)/111930)/((-10)/(-410))?
-6/13
What is the value of (-6)/88*(-688600)/7512?
25/4
What is 22/(-6270)*4*30/(-12)?
2/57
What is the value of (24/32*(-10)/(-9)*-2)/((-1)/1)?
5/3
Calculate (10/(-6)*(-72)/(-24))/((-3685)/2814).
42/11
Calculate (8/13974)/((-21212)/540906).
-2/137
(11/(-40))/((17389/(-591226))/((-4)/34*1))
-11/10
What is (408/1530)/((-4)/(-55))?
11/3
What is (-18275)/2150*(-16)/289?
8/17
What is the value of ((-24)/(-108)*2)/((-623)/801)?
-4/7
What is the value of (32/2*(-16)/((-320)/(-45)))/(3/(-2))?
24
What is the value of (-4180)/(-3762)*(-5)/((-75)/(-9))?
-2/3
Calculate (-626)/(-30361)*19/(-76).
-1/194
What is the value of (8/(-92))/(((-550)/120)/(-11)*(-56)/70)?
6/23
Evaluate (((-790)/100)/79)/(((-10)/(-124))/5).
-31/5
(15/(-207))/(113300/(-12360))
2/253
What is the value of (2236/(-301))/((-186)/(-217))?
-26/3
Calculate (-3)/22*(-1418)/3545*2*15.
18/11
Calculate (12*269/(-135576))/(2*3/8).
-2/63
Evaluate ((1716/3003)/(((-216)/28)/(-1)))/4.
1/54
Evaluate -14*(78/(-312))/(1/(-2)).
-7
What is the value of ((-288)/(-2376))/((-35)/252*88/(-275))?
30/11
Calculate 6/(925/150*-12).
-3/37
Evaluate (1/(-2))/(((-180)/6150)/((-16)/(-20))).
41/3
7*((-32)/8)/2*(-55)/35035
2/91
Evaluate -4*((-56)/(-36))/((-2)/(-9))*1.
-28
Evaluate 98/70*4/(-2)*(-595)/(-34).
-49
30/(-33)*409717/(-239445)
14/9
Evaluate ((-1110)/140*-7)/(126/(-84)).
-37
Calculate ((-1820)/13104)/(15/126).
-7/6
What is the value of ((-27)/144*4)/(13/((-8320)/10))*-1?
-48
276/(-2024)*(-5)/((-150)/(-55))
1/4
What is ((-2)/6*-83)/(118/(-177)*4/8)?
-83
What is (21/(-5))/((52/((-14560)/20))/(10/(-28)))?
-21
-3*-1068*(-35)/(-1260)
89
What is the value of ((-2)/(-102))/((327/218)/(-6*1*-6))?
8/17
Calculate (808/(-6464))/((-20)/(-16)).
-1/10
What is (-56097)/2439*(18/69)/(-3)?
2
What is the value of (9*9*(-14)/252)/12?
-3/8
Evaluate -5*(-6)/225*8*(-95)/(-133)*-7.
-16/3
Evaluate 2/(-8)*-2*(-157)/((-802584)/288).
2/71
Calculate (776/(-2037)*(-3)/(-14))/(5/5).
-4/49
What is 448/64*(-400)/70?
-40
Calculate 2/((-172)/5)*4/(-60)*(-2892)/(-241).
2/43
-500*-6*(-122)/(-6100)
60
Calculate (12/2460*41)/((-6)/12).
-2/5
Evaluate 41409/18404*12/(-1).
-27
What is (-1359)/4228*4/6?
-3/14
What is 17/10*(-1)/(-1445)*255?
3/10
What is the value of 10/(480/(-72))*((-60)/18)/((-1)/8)?
-40
Evaluate (-3804)/8876*(-21)/(-6).
-3/2
((8/118)/((-44)/(-33)))/(-6*(-15)/20)
2/177
Evaluate (((-378)/420)/(6/170))/((-45)/120).
68
(938/(-804))/(((-1071)/(-36))/17)
-2/3
(83880/(-13980))/(2/(-27))
81
Evaluate (139/(21406/(-1496)))/(3/(-21)).
68
Calculate ((-112)/70)/(61/((-327875)/1204)).
50/7
What is the value of ((-2)/(135/(-165)*-1))/((4/30)/1)?
-55/3
-2*6/(-184)*243/(2916/(-8))
-1/23
-35*9/(-48)*(-68900)/(-120575)
15/4
What is ((-315)/180*6/7)/(48/448*553)?
-2/79
Calculate (2/76*1)/(3038/1519).
1/76
What is the value of ((-550)/2200)/((-1)/(10/(-15)*-8))?
4/3
Evaluate ((-160)/(-1960)*-28)/((-16)/392).
56
14/(252/(-15))*(-405)/(-300)
-9/8
(46956/3354)/((-2)/8)
-56
What is the value of ((1104/10304)/((-9)/21))/((-2)/48*-507)?
-2/169
What is the value of ((-417430)/(-6591))/((-20)/6)?
-19
((-12)/(-12))/(8/2*-13*(-8)/13728)
33
Calculate -6*9/4*(230/1242)/(-5).
1/2
What is (2/(6/(2100/(-14))))/(16/(-8))?
25
Calculate (76/(-10355))/(-12*(-4)/40)*216/72.
-2/109
(-9)/(-6)*-15*20/675
-2/3
(-777)/2331*1*(-105)/10*4
14
What is the value of 6/12*-21*58/261*22/35?
-22/15
What is ((-771)/1285)/(1/(-110))?
66
What is the value of 3*((-12)/9)/(784/196)?
-1
(((-4)/(-200))/(20/200))/(2260/200)
2/113
What is the value of 1550/(-930)*2/40*(-10)/8*-6?
-5/8
Calculate ((-602)/215*(-10)/7)/((-15)/90).
-24
What is the value of (-3)/15*5700/(-20)*36/54?
38
What is the value of 76/13300*-50*((-1)/1)/24?
1/84
(1024/(-50688))/((2/21*-3)/(60/(-28)))
-5/33
Evaluate (51/170*88/(-33))/((-64)/20).
1/4
What is the | {
"pile_set_name": "DM Mathematics"
} |
out replacement from wwwddwwdwwd.
28/165
Three letters picked without replacement from {n: 18, s: 2}. What is prob of sequence ssn?
1/190
Three letters picked without replacement from qwqwqq. What is prob of sequence qqw?
1/5
What is prob of sequence sk when two letters picked without replacement from {s: 7, b: 2, k: 1, h: 7}?
7/272
Four letters picked without replacement from {l: 4, m: 6, t: 5, z: 5}. What is prob of sequence zmtl?
5/969
Two letters picked without replacement from cjicbbcimibcc. Give prob of sequence cb.
5/52
Four letters picked without replacement from ustgstusbus. What is prob of sequence gsbb?
0
Four letters picked without replacement from qqqfqqqqqfqqqqqf. What is prob of sequence ffqq?
3/140
Four letters picked without replacement from jjjzajjjjhjljahalhah. Give prob of sequence hzah.
2/4845
Two letters picked without replacement from qqqqww. What is prob of sequence qq?
2/5
Three letters picked without replacement from {f: 6, p: 3, a: 4, t: 4}. What is prob of sequence fat?
2/85
Two letters picked without replacement from dffcc. What is prob of sequence cf?
1/5
Three letters picked without replacement from {a: 2, e: 2, j: 2, k: 1, t: 1}. Give prob of sequence akt.
1/168
Three letters picked without replacement from {v: 2, h: 1, o: 1, b: 1, l: 1, s: 1}. Give prob of sequence lvb.
1/105
What is prob of sequence lbbe when four letters picked without replacement from eblb?
1/12
Three letters picked without replacement from {j: 4, i: 2}. Give prob of sequence jjj.
1/5
Two letters picked without replacement from {w: 4, k: 2, b: 6}. Give prob of sequence kw.
2/33
Calculate prob of sequence pk when two letters picked without replacement from {p: 3, d: 2, k: 3, g: 2, z: 6}.
3/80
Three letters picked without replacement from {s: 6, f: 12}. What is prob of sequence ssf?
5/68
What is prob of sequence iir when three letters picked without replacement from {i: 8, r: 5}?
70/429
Two letters picked without replacement from {s: 5, w: 14}. What is prob of sequence ss?
10/171
Four letters picked without replacement from kbbkjjkjzkbtbjtkztyb. What is prob of sequence btjb?
2/969
What is prob of sequence wc when two letters picked without replacement from bwuwcwc?
1/7
Two letters picked without replacement from qqqqqqqzqqqqq. What is prob of sequence qq?
11/13
Two letters picked without replacement from mrbzzzr. Give prob of sequence zb.
1/14
What is prob of sequence eaeq when four letters picked without replacement from {i: 1, m: 8, h: 1, e: 3, a: 2, q: 1}?
1/3640
Three letters picked without replacement from bbrbbprbbb. What is prob of sequence brr?
7/360
Four letters picked without replacement from qqqqqqqqqvqq. What is prob of sequence qqqv?
1/12
Calculate prob of sequence ff when two letters picked without replacement from {f: 2, x: 1}.
1/3
What is prob of sequence gp when two letters picked without replacement from dkpkkpdgngppdpg?
1/14
Two letters picked without replacement from ooooo. What is prob of sequence oo?
1
Two letters picked without replacement from tjttjjtttttjjjjtjtj. What is prob of sequence tt?
5/19
Three letters picked without replacement from qqiqqiiqqiqqiqiiiii. Give prob of sequence qqi.
40/323
What is prob of sequence um when two letters picked without replacement from ympyyuduymymyydmu?
3/68
Calculate prob of sequence vpp when three letters picked without replacement from {v: 6, p: 6}.
3/22
Calculate prob of sequence jjj when three letters picked without replacement from jjajjjjj.
5/8
Two letters picked without replacement from {r: 2, c: 2}. Give prob of sequence cr.
1/3
What is prob of sequence nnr when three letters picked without replacement from rnnn?
1/4
Three letters picked without replacement from {y: 5, f: 3, a: 3, t: 3, h: 1, u: 3}. Give prob of sequence hty.
5/1632
Four letters picked without replacement from {r: 5, x: 5, i: 8}. What is prob of sequence ixii?
7/306
Calculate prob of sequence yo when two letters picked without replacement from {o: 2, y: 1}.
1/3
Calculate prob of sequence ps when two letters picked without replacement from {k: 3, s: 1, j: 4, v: 1, p: 2, i: 1}.
1/66
Three letters picked without replacement from tythhht. What is prob of sequence tyt?
1/35
Three letters picked without replacement from {w: 2, u: 2, z: 2, m: 1, c: 1}. Give prob of sequence zuz.
1/84
Calculate prob of sequence hwh when three letters picked without replacement from hwhjijjjjjjhjejjwjh.
4/969
Three letters picked without replacement from bbkbbbk. What is prob of sequence bkb?
4/21
Calculate prob of sequence ov when two letters picked without replacement from xueeeoveuoo.
3/110
What is prob of sequence ii when two letters picked without replacement from tiitit?
1/5
Calculate prob of sequence kk when two letters picked without replacement from bbknxbbxnnxnekbeb.
1/136
Two letters picked without replacement from llclllcll. What is prob of sequence cl?
7/36
Three letters picked without replacement from {x: 2, w: 1, b: 1}. What is prob of sequence bwx?
1/12
Three letters picked without replacement from aaahaahhaah. Give prob of sequence haa.
28/165
Calculate prob of sequence jjjf when four letters picked without replacement from {f: 2, h: 1, j: 1}.
0
Calculate prob of sequence qm when two letters picked without replacement from {k: 1, q: 1, m: 10, e: 2}.
5/91
What is prob of sequence px when two letters picked without replacement from {x: 8, w: 2, r: 1, p: 5}?
1/6
What is prob of sequence kkgk when four letters picked without replacement from kkkggkggggggggkkggg?
65/3876
Calculate prob of sequence tt when two letters picked without replacement from {g: 7, t: 3, y: 2, q: 3}.
1/35
What is prob of sequence mt when two letters picked without replacement from {m: 6, t: 4}?
4/15
Four letters picked without replacement from {p: 1, g: 2, h: 1}. What is prob of sequence gppp?
0
Calculate prob of sequence qahq when four letters picked without replacement from {q: 2, a: 5, h: 3}.
1/168
Two letters picked without replacement from {l: 2, a: 1, q: 2, r: 8}. What is prob of sequence lq?
1/39
Four letters picked without replacement from rkrkkkrkwwrrrr. What is prob of sequence wkkw?
5/3003
Two letters picked without replacement from mmvpvfrvvvfvvv. Give prob of sequence mp.
1/91
Three letters picked without replacement from llfrlqqmrqq. What is prob of sequence mqr?
4/495
Calculate prob of sequence yl when two letters picked without replacement from ljyjyjjjnjljj.
1/39
What is prob of sequence ylyt when four letters picked without replacement from tylyyolyldyoohool?
1/714
Two letters picked without replacement from {s: 2, j: 4, f: 2, d: 3}. Give prob of sequence dj.
6/55
Calculate prob of sequence zqn when three letters picked without replacement from {r: 1, q: 1, a: 2, z: 2, n: 1}.
1/105
Four letters picked without replacement from {t: 1, i: 2, o: 2, z: 3, a: 2, u: 4}. Give prob of sequence uutu.
1/1001
Calculate prob of sequence cyy when three letters picked without replacement from nnyynnnygyc.
2/165
Two letters picked without replacement from xsbsxxy. What is prob of sequence sb?
1/21
Two letters picked without replacement from {u: 1, d: 2}. What is prob of sequence ud?
1/3
Four letters picked without replacement from {c: 4, p: 3, v: 3, l: 1}. What is prob of sequence cpvp?
1/110
Calculate prob of sequence ll when two letters picked without replacement from {j: 2, l: 9, k: 6}.
9/34
Calculate prob of sequence btx when three letters picked without replacement from bxxxbtu.
1/35
What is prob of sequence tppr when four letters picked without replacement from prrpjtpjjrejeepr?
1/910
What is prob of sequence baaa when four letters picked without replacement from {b: 3, a: 13}?
33/280
What is prob of sequence bkb when three letters picked without replacement from {k: 5, b: 5}?
5/36
Two letters picked without replacement from {s: 7}. What is prob of sequence ss?
1
Calculate prob of sequence aq when two letters picked without replacement from hqphhaadh.
1/36
Three letters picked without replacement from uhhhwwssuwlsclsswhls. Give prob of sequence lch.
1/570
Two letters picked without replacement from pwljlwjllplpjwljwll. What is prob of sequence lj?
16/171
What is prob of sequence xt when two letters picked without replacement from {x: | {
"pile_set_name": "DM Mathematics"
} |
rth biggest value in 128, 5634, -2/7, 1, 0.01, 3/4?
3/4
What is the second smallest value in 32111, -3, -5, -0.063?
-3
What is the biggest value in -5, -1, 0, -18, 10, 3/67?
10
Which is the fourth smallest value? (a) 4.8 (b) 6 (c) -8 (d) -2 (e) 21 (f) 0.02
a
Which is the third smallest value? (a) 1311 (b) -1/40 (c) 13/4 (d) -9/2
c
What is the fifth biggest value in -2, 0.5, -7/17, -5/2, 5, 3/11, 437?
-7/17
What is the sixth smallest value in 0.4, 8/13, -35, 3/2, 6, 1/3?
6
Which is the sixth biggest value? (a) 30 (b) 1/4 (c) 1 (d) 3 (e) 3/28 (f) -0.1 (g) 49
e
Which is the third biggest value? (a) -56/19 (b) 5/8 (c) 0.1 (d) 5/4 (e) -0.3 (f) -5
c
What is the third biggest value in 6, -647, 4188?
-647
What is the third biggest value in 3/4, -6, 59/141?
-6
What is the fifth biggest value in -4, -1.21, -12, 2/13, -2/55?
-12
What is the fourth biggest value in -7, 5, -49647, -2, -2/3, -3/5, -2/15?
-2/3
Which is the fifth biggest value? (a) -12/341 (b) 3/2 (c) -5 (d) -0.1 (e) 0 (f) -0.5
f
Which is the biggest value? (a) -4 (b) -33 (c) -0.5 (d) 0.1 (e) -2/11 (f) -475
d
What is the fourth biggest value in -1/3, 0.2, 2/9, 3, 44, 1, 0.36?
0.36
What is the fifth smallest value in -17, -1.7, -4/11, -2/21, -0.126?
-2/21
What is the third smallest value in 3.42, 994, 2.2?
994
What is the sixth smallest value in -2/23, -2, -218, 0.5, -0.01, -7?
0.5
Which is the fourth biggest value? (a) 9/5 (b) 0.1 (c) 38/5 (d) 0.3 (e) -5 (f) 0.5
d
Which is the biggest value? (a) -3/10 (b) 498 (c) -1/4 (d) -0.05 (e) 309 (f) -5
b
Which is the fourth smallest value? (a) 14 (b) -0.9 (c) -0.1 (d) -92 (e) 12 (f) 4 (g) -2
c
Which is the third smallest value? (a) 56/87 (b) 0.5 (c) 1 (d) -2/1717
a
What is the second smallest value in -13, 3/88571, 0.04?
3/88571
Which is the fourth smallest value? (a) 33 (b) 4/13 (c) -116 (d) 4 (e) -2/27
d
What is the fourth biggest value in 1/17, 18, 1, -5, 0.39, -20, -6?
1/17
Which is the third biggest value? (a) -2089 (b) -269 (c) 21
a
What is the third biggest value in 0.4, 11.5, -0.2, -5, -0.1, -3, 9/8?
0.4
Which is the fourth smallest value? (a) -0.45 (b) -3.9 (c) 6 (d) 7 (e) -6 (f) 1 (g) 5
f
Which is the second biggest value? (a) 54 (b) -3/4 (c) 7/11 (d) -0.5 (e) 28
e
Which is the fifth biggest value? (a) -6 (b) 4 (c) -15/2 (d) -2/61 (e) 1/5
c
Which is the second biggest value? (a) 258.91 (b) -13 (c) 9
c
What is the second biggest value in -21.226, 17, -0.1?
-0.1
Which is the second biggest value? (a) -0.13 (b) 114 (c) 9 (d) -0.03 (e) -4 (f) 5
c
Which is the second biggest value? (a) 0.054 (b) 26 (c) 0 (d) 0.5 (e) -17
d
Which is the smallest value? (a) 66 (b) -1/5 (c) -180023
c
Which is the smallest value? (a) 4822 (b) -2 (c) 2.07 (d) -5/3 (e) -6
e
Which is the third smallest value? (a) -0.4 (b) -1/4 (c) 0.078 (d) 140/437
c
What is the fourth biggest value in -2/15, -20/13, 0.38, 3, -12?
-20/13
Which is the fifth smallest value? (a) 8184/7 (b) 5 (c) 1 (d) -0.4 (e) -18
a
What is the third biggest value in 1, 0.0458, 50, -37/3?
0.0458
Which is the third smallest value? (a) 2 (b) -235 (c) -3/2 (d) -126
c
Which is the fifth biggest value? (a) 4.6 (b) -5 (c) 34/15 (d) 1 (e) 6 (f) -1/4 (g) 1/5
g
Which is the third biggest value? (a) 0.691 (b) 0.32 (c) -29
c
What is the sixth biggest value in 1, -83/2, -0.1, -2/11, 23/5, -5?
-83/2
Which is the fourth smallest value? (a) -2071/13 (b) -1 (c) 0 (d) -1/117 (e) -3
d
Which is the third smallest value? (a) 22 (b) 601.22 (c) -5
b
Which is the fourth biggest value? (a) 5 (b) -5 (c) -740129 (d) 0.3 (e) 1
b
What is the second smallest value in -1/25, 0.01, -0.1, 6/89, 23, -0.4?
-0.1
Which is the third biggest value? (a) 0 (b) 1/2 (c) -15 (d) -2 (e) -1/667 (f) 5
a
Which is the sixth smallest value? (a) -0.2 (b) -2 (c) 1 (d) -89 (e) -3/5 (f) -0.036 (g) 0.1
g
What is the biggest value in -1/4, -0.253474, -7?
-1/4
Which is the third smallest value? (a) -19507 (b) 89 (c) -2
b
Which is the smallest value? (a) -43/7 (b) -65 (c) 4657
b
What is the smallest value in 7/5, 3, 155020, 1, 0?
0
Which is the third biggest value? (a) 0.2 (b) -1 (c) 4 (d) 2/3 (e) 0.5 (f) -112433
e
Which is the second biggest value? (a) -3 (b) -36 (c) -29369 (d) 1 (e) -1/10
e
Which is the biggest value? (a) 3 (b) -18/7 (c) -61.75 (d) 12
d
Which is the smallest value? (a) 17 (b) -1/8 (c) 49 (d) 0.1 (e) 1343 (f) 0.2
b
Which is the third biggest value? (a) -1/3 (b) -0.2 (c) 3 (d) 1 (e) 3/4 (f) -2145
e
Which is the second smallest value? (a) 96 (b) -4 (c) 3/8 (d) -1096
b
What is the fourth biggest value in 2, -4/3, 7, -1/4, 97, -112, -0.3?
-1/4
What is the second biggest value in -5, -4, 4/15, 69/40, -0.1, 1, -1?
1
What is the fourth biggest value in -3/2, 1/5, 5, -14, -42, 0.4, 6?
1/5
What is the biggest value in 5, 5.925, -575?
5.925
What is the smallest value in 1/8, -57/4, 12, 1487?
-57/4
Which is the fourth smallest value? (a) -0.1 (b) 3 (c) -1 (d) 307 (e) 167
e
Which is the fifth smallest value? (a) -2037563 (b) -3 (c) -0.03 (d) -2/5 (e) -5
c
Which is the fourth smallest value? (a) -0.5 (b) -4 (c) -28 (d) 5 (e) 0.1 (f) 0.0359
f
What is the fourth smallest value in 2/11, -2/7, 17/5, 3/4, 2/3, -0.02, 4?
2/3
What is the third biggest value in -4/15, 3723, -51, -5?
-5
Which is the smallest value? (a) -4 (b) -12 (c) 7.6 (d) -67
d
Which is the seventh smallest value? (a) -66 (b) 2/11 (c) 3 (d) -2.4 (e) -0.5 (f) 2/7 (g) 1
c
What is the second biggest value in -0.4, 718/51, -31, -0.01?
-0.01
Which is the second smallest value? (a) -5 (b) -20.48 (c) -1203
b
Which is the third biggest value? (a) 5 (b) 1 (c) -99 (d) -2/11 (e) 1.57 (f) 0
b
Which is the seventh smallest value? (a) 0.1 (b) -1.8 (c) 1 (d) 3 (e) 26 (f) -30 (g) -3/2
e
What is the third smallest value in -2/7, -1/5, 3/2, 0.07, -2/13, -2/3073?
-2/13
What is the biggest value in 3/4, -50, 44/5, -0.02915?
44/5
Which is the third biggest value? (a) -3329 (b) 33/256 (c) -1/2
a
What is the sixth biggest value in -0.5, -4, -3/4, -3/7, 21, 1.4, -102?
-4
Which is the sixth smallest value? (a) 2/15 (b) 1 (c) 3/5 (d) 1/33 (e) -115 (f) -76
b
What is the third biggest value in 0.5, 212870281, 1?
0.5
Which is the smallest value? (a) 11/6 (b) 2 (c) -8/9 (d) 2485
c
What is the fifth smallest value in 3/2, -0.1, -3, 710.9, -2006, 1, -5?
1
What is the fifth smallest value in -5, 6286, 0.9, 0.1, -4/9?
6286
Which is the seventh biggest value? (a) 3 (b) 3.6 (c) -3 (d) -0.2 (e) 1/42 (f) 4 (g) -29
g
Which is the second biggest value? (a) -1/23 (b) -6 (c) -375/19
b
Which is the third biggest value? (a) 15 (b) 0.15 (c) 1039
b
Which is the fourth smallest value? (a) 3 (b) 2.9723 (c) -341 (d) -0.1 (e) -0.3
b
What is the third smallest value in 1.584, 13650, -0.3, -4?
1.584
Which is the smallest value? (a) -419 (b) 2/9 (c) -3 (d) -2752 (e) -0.02 (f) 3
d
What is the second smallest value in -8/9, -119.4, 2/13, 1, 5?
-8/9
What is the third smallest value in -0.19, 5, -0.2, 1306, 4, -0.07?
-0.07
Which is the biggest value? (a) -2039 (b) -0.1 (c) -3 (d) -0.2
b
What is the fourth biggest value in 3, -12265, 1/3, -2707?
-12265
What is the third biggest value in 0.1, 0.03, 0.06, -16.3276?
0.03
What is the fifth smallest value in -1, -1/2, 0.28, -5, -14.459, 0.09?
0.09
What is the sixth smallest value in 6/43, 1285/8, 1, -0.4, -0.1, -0.17, -2?
1
Which is the fourth biggest value? (a) 0 (b) 1/8 (c) -11485 (d) -0.5 (e) 4 (f) 2 (g) -0.4
a
Which is the third smallest value? (a) 0.1 (b) -5 (c) -0.4 (d) -17029 (e) 7 (f) 4
c
Which is the third biggest value? (a) 462 (b) 1/34 (c) 5/2 (d) -0.9 (e) -0.1
b
Which is the fourth biggest value? (a) 0.04 (b) -1.2 (c) -3 (d) 0.1 (e) -22/219
b
Which is the third biggest value? (a) 1.7 (b) -278 (c) -0.0224 (d) 14
c
What is the sixth smallest value in 51, -1, -0.4, 50, 0, 1099?
1099
What is the fifth biggest value in -3, 0.06, 0.2, 35/8, -1?
-3
Which is the smallest value? (a) 0.359 (b) -216/265 (c) -4
c
What is the biggest value in -3/4, 3/2, 2908, -3, 0.3, 0, 1/4?
2908
Which is the second bigges | {
"pile_set_name": "DM Mathematics"
} |
= x + -1.35. Round y to three decimal places.
0.053
Let r = -855.3 - -855.307506. What is r rounded to four decimal places?
0.0075
Let f = -22.05 + 22.05006705. What is f rounded to five decimal places?
0.00007
Let p = 546 + -545.9775. Let m = 0.022967 - p. What is m rounded to four decimal places?
0.0005
Let q = 0.01591823 - -0.32804307. Let b = q + -0.344. What is b rounded to five decimal places?
-0.00004
Let v = 153.03354 - 152.91. What is v rounded to 3 decimal places?
0.124
Suppose -i + 25 = -2*f - f, 0 = f + 4*i + 4. Let k be 4/f + 9/(-6). Let a be (k - 882/(-1))*5 - 0. What is a rounded to the nearest 1000?
4000
Suppose 7030 = 41*m - 40*m. Suppose 105508 = 5*o + 2*y, -2*o - 5*y = -35190 - m. Round o to the nearest one thousand.
21000
Let m = -90 + 134. Let q = m + -12.5. Round q to the nearest ten.
30
Let n = 10.398 - 10.53117. Round n to 2 decimal places.
-0.13
Let p(o) be the first derivative of -55005*o**2/2 - 40*o - 24. Let j be p(-8). Round j to the nearest 1000000.
0
Let x = 2.7701 - 0.4611. Let r = x - 2.3. Let m = r + -0.00952. Round m to four dps.
-0.0005
Let t = -268.54 + -5.46. Let z = 274.00036 + t. What is z rounded to 5 dps?
0.00036
Let c = 1.6 - 0.1. Let k = -0.076 + -3.624. Let u = k + c. What is u rounded to zero decimal places?
-2
Let x = 686 + -345. Suppose 6*l = 8659 + x. What is l rounded to the nearest 10000?
0
Suppose -2*p + 4491 = -11*p. Let i = -224 - p. Let q = i - 98. What is q rounded to the nearest ten?
180
Suppose 2*v - d - 6554004 = 0, -d = 4 - 0. What is v rounded to the nearest one million?
3000000
Suppose 0 = -305*y + 309*y - 1628. Let u = 386 - y. Round u to the nearest ten.
-20
Suppose -78197 = -4*r - w, 2*r = w + 21590 + 17513. Suppose -25*m + r + 36450 = 0. What is m rounded to the nearest 100?
2200
Let j = 662906686.999221 - 662906108. Let a = -579 + j. What is a rounded to 4 decimal places?
-0.0008
Let j be ((-6570)/(-4))/(32 + (-40444)/1264). Round j to the nearest 1000.
519000
Let s = -3963163.300392 - -3962769.3. Let x = s - -394. Round x to four dps.
-0.0004
Let q = -3 - -66. Let k = q - 60. Suppose -k*b - 184 + 121 = 0. What is b rounded to the nearest integer?
-21
Let d = -3031 - -3030.9957552. Round d to 5 decimal places.
-0.00424
Let f = 2650.49 + -2669. Let s = -243.69 + 244. Let b = f + s. What is b rounded to 0 dps?
-18
Let z = 6798803 + 6981197. Round z to the nearest 100000.
13800000
Let z be (-8)/(16/(-54)) - 4. Suppose 354123 - 1419023 = -z*s. What is s rounded to the nearest 1000?
46000
Suppose 0 = -20*v + 28*v - 24. Suppose 0 = -5*f + g - 18799995, -v*g + 1429269 = -2*f - 6090716. What is f rounded to the nearest 1000000?
-4000000
Let k = 39 - 82. Let n = k - -48. Let t = 5.03 - n. What is t rounded to one decimal place?
0
Let p = 5111.67 + -341.97. What is p rounded to the nearest 100?
4800
Let b = -14.6860022188 - -14.686. Round b to 6 decimal places.
-0.000002
Let f = 4775.999874672 + -4776. What is f rounded to 6 dps?
-0.000125
Suppose -3*y = -4*i - 93115, -2*i + 9*y - 8*y = 46557. Let m be i/6 - 1 - 6/(-9). What is m rounded to the nearest one thousand?
-4000
Let g = 22934997 - 22932870.57962. Let y = g + -2399.4242. Let u = -273 - y. Round u to 3 decimal places.
0.004
Let p = 2752272 - -2222128. Round p to the nearest one million.
5000000
Suppose -215 = 3*g - f - 53, -f = -5*g - 272. Let x be 6/5 + 11/g. Let t be (1 + -39)*(-94 - x). Round t to the nearest one thousand.
4000
Let q = -3.5 + 101.5. Let t = -98.82 + q. Let p = t - 16.08. Round p to zero dps.
-17
Let m = 235456.99904319 - 235457. Round m to five dps.
-0.00096
Let y = -4017815190.99999985 + 4017814971. Let b = y - -220. Round b to seven decimal places.
0.0000002
Let l = 114.20001064 + -114.2. What is l rounded to seven decimal places?
0.0000106
Let r = -28694 - -28985.02. Round r to the nearest integer.
291
Let c = -0.6729 + -21.5271. Round c to the nearest 10.
-20
Let f = -0.4226 + 0.422602864. What is f rounded to 6 dps?
0.000003
Let x = -0.3258428 - -0.3276. Round x to four decimal places.
0.0018
Let k = -47 + 51. Let x be (9 + -11)*(-54)/k. Let d be 9/(x/(-6)) + 12500002. What is d rounded to the nearest one million?
13000000
Let w = 3.801 - 0.201. Let a = -100.4 + w. Round a to the nearest 10.
-100
Let j = 6154261 - 11679342. Let i be 2*(-2)/(12/51075243). Let f = i - j. What is f rounded to the nearest one million?
-12000000
Let a = 0.1011 - 0.06375. What is a rounded to 3 dps?
0.037
Let u = 8.08903 + -29.09112. Let a = -28 + 7. Let t = u - a. Round t to 3 decimal places.
-0.002
Suppose -251785821 + 442746127 = -68*c - 761583694. What is c rounded to the nearest 100000?
-14000000
Let a = -3754.0008797 + 3754. What is a rounded to 4 dps?
-0.0009
Let c = -0.0182 - -0.3762. Let g = c + -57.958. What is g rounded to zero dps?
-58
Let k = -302.7618 + 299.66. What is k rounded to two decimal places?
-3.1
Suppose 139*a + 55 = 150*a. Suppose 5763775 + 2816230 = 2*d + h, 0 = -a*d + 3*h + 21449985. Round d to the nearest 1000000.
4000000
Let g = -0.41 - 0.36. Let d = g + 3.66. Let x = d - 1.07. What is x rounded to 1 dp?
1.8
Let y = -15994 + 16048.671. Round y to 1 decimal place.
54.7
Let u = 61 + -61.98. Let a = u + 2.7. Let g = -2.32 - a. What is g rounded to one decimal place?
-4
Let n be 4 - (105/(-12) + 0)*4. Let v(t) = -23 - 38112*t**2 - 36 - 2*t + n. Let c be v(14). Round c to the nearest one million.
-7000000
Let b = -2.17737 - -1.6504. What is b rounded to 2 dps?
-0.53
Let t = 67961.02 - 67963.3200142. Let a = t - -2.3. What is a rounded to 5 dps?
-0.00001
Let y = -531 + 530.9498. Let o = y - -0.4352. Round o to 2 dps.
0.39
Let p = -530.3 + 535.432. Round p to 1 decimal place.
5.1
Let l = -0.405 + -287.595. Let r = l - -287.9999647. What is r rounded to five dps?
-0.00004
Let b = 2824.58 - 16044.68. Round b to the nearest 1000.
-13000
Let g = -5205.396106 - -5205.5. Round g to two dps.
0.1
Suppose 2*l - 8*x + 4*x = -3682, 4*l - 2*x + 7394 = 0. What is l rounded to the nearest one hundred?
-1900
Let b = -233688.1007 - -233702. Round b to 1 dp.
13.9
Let w be (-560 + 435)/((-1)/(-19544)*2). What is w rounded to the nearest one hundred thousand?
-1200000
Let l = 10647822.0198 + -10648866. Let s = l - 0.0198. Let g = s - -1043.999457. What is g rounded to five dps?
-0.00054
Let a(m) = -13*m**3 + 109*m**2 + 122*m + 32. Let k be a(-13). Round k to the nearest one thousand.
45000
Let j = -625.969 + 626. Let o = -0.252 - j. What is o rounded to 2 dps?
-0.28
Let y = 208.95 + -239.538. What is y rounded to the nearest 10?
-30
Let p = 5.438 + 0.502. Let w = p + -6.38. Round w to 1 dp.
-0.4
Let j = 2582 + -2582.2874. Let z = 1.6164 + j. Round z to 1 decimal place.
1.3
Let c = -7193211 - 884955. Let r = c - -8078165.39999728. Let x = r - -0.6. What is x rounded to 7 decimal places?
-0.0000027
Let q(a) = a**3 + a - 4168. Let b be q(0). Let m = b + 2368. What is m rounded to the nearest one hundred?
-1800
Let n = 48208.000087188 - 48208. Round n to five decimal places.
0.00009
Let i = -5109609.95286614 - -5109610. Let n = i + -0.04719. What is n rounded to 6 decimal places?
-0.000056
Let f be (((-12)/10)/((-8)/750))/(12/(-2328)). Round f to the nearest 1000.
-22000
Let q be (2/6)/((-4)/12). Let r be (-2)/q - (6 - 4). Suppose -3*m - 353165 - 42835 = r. Round m to the nearest ten thousand.
-130000
Let s = -40697.49 + 40516. Let n = s - -179. What is n rounded to one dp?
-2.5
Let a = -0.241 + 0.268. Let k = a - 0.199. What is k rounded to 2 decimal places?
-0.17
Suppose -4*f = f, 5*f + 274140 = -2*p. Round p to the nearest one thousand.
-137000
Let q be (1/(49/504))/((-4)/(-24986906)). Let h be 0 + -2 + -347*262686. Let g = h + q. Round g to the nearest one million.
-27000000
Let y = -349.624173 - -307.58342586. Let h = y + 0.04080314. Let a = 42 + h. Round a to 5 dps.
0.00006
Let k = -0.065 - -0.065. Let d = 71 - k. Let w = d + -71.16. What is w rounded to two dps?
-0.16
Let t = -733 + 732.9529. Let y = -0.07 + -0.002. Let z = y - t. What is z rounded to 3 decimal places?
-0.025
Let x = -17.2 - -14.4. Let y = x + 2.800098. Round y to 5 dps.
0.0001
Let i(z) = 18332*z + 12. Suppose 2*v + 3*p = -2*p + 38, 4*p + 20 = 4*v. Let l be i(v). Suppose 0*x - l = 3*x. What is x rounded to the nearest ten thousand?
-60000
Let q = 465 | {
"pile_set_name": "DM Mathematics"
} |
biggest value? (a) -491 (b) 0.5 (c) n
c
Let d = 128 - 127.854. Let t = d + -0.036. Let u = -0.21 + t. What is the smallest value in 4, -2/3, -3/7, u?
-2/3
Let g be (-57)/(-3) + -34 + 0. Which is the third biggest value? (a) -1/7 (b) -5/3 (c) g
c
Let w = -1788/5 - -358. Let l = 281/8 + -35. What is the smallest value in l, -4, w?
-4
Let l = -0.2 + 1.6. Let k = 43326 - 43328. What is the third smallest value in l, -1/3, k?
l
Let z = -98 - -74. Let n be 24 + z - ((-32)/(-14) - 2). Suppose 4*m = 2 + 30. Which is the second biggest value? (a) m (b) n (c) 5
c
Let s be ((-492)/20)/((-7)/245). Let v = -856 + s. Which is the biggest value? (a) -3 (b) 3 (c) 0.29 (d) v
d
Let f be (-3*1 + 0)/((-3)/(-60)*-15). Let r = 38 + -38.3. Which is the second smallest value? (a) r (b) f (c) -17
a
Let g = -966 - -966.7. What is the second biggest value in g, 0.064, -2/5?
0.064
Let o = 215183/14 + -15370. Let x be 6/9*5/(-4). Which is the fourth smallest value? (a) -4 (b) 0.1 (c) o (d) x
c
Let g be (1*8 - ((-1 - -5) + 2)) + -5. Let t be 42/(-40) + (-2)/(-8). What is the third smallest value in t, 3, g?
3
Let l = -1135 + 5674/5. What is the third smallest value in 4, l, 462, 0.5?
4
Let n = 13.5 + -14.8. Let m = 1.6 + n. What is the fourth smallest value in 4, m, -1, -1.4?
4
Let o = -453 + 457.99. Let s = 2.99 - o. Let i = 2 + -2.5. Which is the third smallest value? (a) s (b) -3 (c) -1 (d) i
c
Let p be (0/149)/(-1 + 2). What is the second smallest value in 0.3, -529, 1/2, p?
p
Let n = 647.7 - 648. Suppose 3 = 5*t - 7. Suppose 0*g = -3*k + t*g - 11, 5*k + 2*g + 13 = 0. What is the third smallest value in -0.39, k, n?
n
Suppose 1 + 5 = 6*r. Let p be (0 - 2/4)/(417/556). Which is the biggest value? (a) -0.3 (b) r (c) -3 (d) p
b
Let g be (9 - 5)*(-1)/7 + (-209)/(-378). Let y = 1.3 + -0.9. What is the third smallest value in y, -1, g?
y
Suppose -x - 125 = -236. Let u be (14/(-147))/(2/x) + 5. Which is the biggest value? (a) u (b) -5 (c) -6
a
Let p = -268.7 + 211.7. Which is the third smallest value? (a) -0.5 (b) p (c) 1
c
Let r = 212.5 - 212.8. Let y = -14/17 - 23/34. Which is the smallest value? (a) 0.3 (b) r (c) y (d) 4
c
Let z = 30 + -18. Suppose 0 = 2*v + z + 8. Let m(j) = j**3 - 16*j**2 - 16*j - 14. Let p be m(17). What is the third smallest value in -3/7, v, 1, p?
1
Let x = 13 - 12.7. Let u = 47 + -69. Let m = u + 15. Which is the biggest value? (a) x (b) -0.4 (c) m (d) -5
a
Let r = 301 + -300.13. Let k = -0.97 + r. Let x be (1 + 0)/((-10)/4). What is the third biggest value in 1/3, x, k?
x
Let y = -5.18 - -0.18. Suppose -8*a + 369 = -247. Let w = 73 - a. What is the second biggest value in 4, -1, y, w?
-1
Let u = -22774 - -22773. Which is the third biggest value? (a) 1/18 (b) 0 (c) u (d) -0.08 (e) 1/3
b
Let z = 128.4 + -113. Let q = z + -15.29. Which is the second smallest value? (a) 2/11 (b) 4 (c) q
a
Let q = 1.1 + 3.9. Let j = -279 - -46. Let k = 232.6 + j. Which is the second biggest value? (a) q (b) -0.3 (c) -3 (d) k
b
Let b(s) = s**3 - 11*s**2 + 11*s + 8. Let f be b(10). Suppose f = -3*g - 3*q, -7*g + 5*q + 14 = -4*g. What is the fourth smallest value in -3, -1/9, 0.6, g?
0.6
Let c = 2.58 + -2.6. Let q = -4.02 - c. Let t = -0.188 - -0.098. What is the third biggest value in 0.1, q, t?
q
Let q = -24.855 - -24.855. Which is the second biggest value? (a) -1/3 (b) 1/5 (c) q (d) 1/8
d
Let m be (4/(84/(-9)))/((-48)/64). Let n = 0.3 - 0.2. Which is the third biggest value? (a) -0.3 (b) -5 (c) n (d) m
a
Let x = -5315 - -5316. What is the third biggest value in 13, x, -1/12?
-1/12
Let u be ((99/9)/(-176))/((-2)/(-2)). Which is the smallest value? (a) u (b) -5/6 (c) -0.06 (d) -1/3
b
Suppose -q = 1, -6*k + 2*q = -2*k + 3462. Let u = -44164/51 - k. What is the third biggest value in 1/2, u, -4?
-4
Let z be ((-252)/(-56))/(-9)*(-2)/7. What is the biggest value in z, 1/4, 2/9, 5, -0.042?
5
Let d = -42.1 + 42. Let r be -1*-15*(-5)/(-60)*4. What is the third biggest value in 0.1, r, d, 3/2?
0.1
Let k be (2/(-6))/((-2)/24). Suppose 0 = f + 3 - k. Let p = -1735/3 - -579. Which is the fourth biggest value? (a) -1/5 (b) -3 (c) f (d) p
b
Let j be 9 - (24/132 - (-1885)/220). Let v = 2 - 1.8. Which is the third biggest value? (a) j (b) v (c) 4
b
Let o = -67790 - -67789.74. Let m = -1 - -1. Which is the third smallest value? (a) m (b) 5 (c) o
b
Suppose 115*y = 112*y + 2262. Let d = y - 2261/3. What is the third biggest value in 2, d, -143, 1/6?
1/6
Let j be 9/(-6)*(-2)/(-6). Let z = -57 - -58. Let i be (-256)/(-40) + 4/(-10) - 6. What is the third smallest value in j, z, i?
z
Let t = 21 - 21.13. Let k = -2.13 - t. Let h = 32 - 125/4. What is the smallest value in -11, k, h, -1/6?
-11
Let b be (-186)/(-465)*590/4. What is the third biggest value in -2, b, 0?
-2
Suppose 10 = -4*g + i, -15*g - 5*i + 33 = -18*g. Which is the smallest value? (a) g (b) -34 (c) -13 (d) -5 (e) -3
b
Let m = 303 + -307. Let v(p) = -p**2 - 13*p - 32. Let z be v(-9). Which is the biggest value? (a) -10 (b) m (c) z
c
Let n = 328 - 220. Let z = n - 106. Which is the fourth smallest value? (a) -9/5 (b) 0.3 (c) z (d) -2
c
Let x = -125.029 + 0.029. Let y = 129 + x. Which is the fourth biggest value? (a) 0 (b) y (c) 12 (d) -4
d
Let o(u) = -u**2 - 5*u - 1. Let j be o(-3). Suppose -3*l + 60 = -2*v + 11, 0 = 3*v - 2*l + 61. Which is the third smallest value? (a) -0.3 (b) v (c) j
c
Let n = 22.036 - 22.036. Let p = -37.943 + -0.057. Which is the fourth smallest value? (a) 1/2 (b) p (c) -0.1 (d) n
a
Suppose 102*z + 211 = 1129. What is the second biggest value in -0.5, z, -3/25?
-3/25
Let l = 13 + -14. Suppose 113 = 4*n + 33. Suppose 20 = -8*x - n. Which is the second biggest value? (a) l (b) 3 (c) -4 (d) x
a
Let h be (-16)/(-6) + 38/(-57). Let o be h/6 + 10154/(-78). Let n = o - -130. What is the second biggest value in 5, n, 1/10, -2/9?
n
Let c = -6 - -6.3. Let v = -99/74 - 6/37. Let s = 121 - 116. What is the third biggest value in s, c, v?
v
Let c = -303 - -166. What is the third smallest value in 1/2, c, -0.2?
1/2
Let q = -1 + -1. Let f = -1225675 + 1225677. Which is the second smallest value? (a) 0.06 (b) q (c) f
a
Let f = 0.031 - 33.031. Let v = f + 33. Let j be (-10)/(-66) + (-14)/(-77). What is the third biggest value in j, v, 0.2?
v
Let d = 28.76 - 220.06. Let o = 192 + d. Which is the third biggest value? (a) o (b) 4 (c) 2
a
Let j be ((-16)/(-20))/(1/(-5)). Suppose 0 = -6*w - 35923 + 35953. Which is the second smallest value? (a) j (b) 0.26 (c) w (d) -2
d
Let z(v) = -v**3 - 26*v**2 - 78*v + 565. Let g be z(-21). Let b = -12 + 6. Let l be 8/b*(-3)/26. What is the smallest value in l, 0.5, g?
g
Let y(k) = -k**3 - 8*k**2 - 37*k - 213. Let m be y(-7). What is the third biggest value in m, 0.17, -0.4?
m
Let i be (-616)/96 + (-2)/8. Let d = -62/9 - i. What is the biggest value in d, -0.3, -9/13?
d
Let n = 1.7 + 0.3. Let u = -4 + n. Suppose -3*s - 6*w - 19 = -4*w, -5*w - 10 = 0. Which is the second biggest value? (a) s (b) u (c) 5
b
Let w = -1.91 + -135.09. Let b = w + 96. Let j = -34 - b. What is the smallest value in 3, j, 0.4, -1/2?
-1/2
Let f = -6.012 + 8.012. Which is the smallest value? (a) -0.4 (b) f (c) -0.2027 (d) 1/3
a
Let c = 5514.78 + -5510. What is the second biggest value in -3/2, c, 2?
2
Let r = 52.17 + -51.77. Let d = 30437 - 364999/12. Let h = 87/4 - d. Which is the second biggest value? (a) r (b) h (c) 2
b
Let h be (-5148)/(-54) - ((-8)/6)/2. Let i = h - 86. Suppose -1 = n + 5*v - 4*v, -4*n - 2*v = i. What is the biggest value in -2, 0, n?
0
Let u = -1 + -742. Let v = u + 6685/9. Which is the third biggest value? (a) 0.5 (b) -4/9 (c) v (d) 1
c
Let h = 55.087 + -0.087. Let u = h + -55.5. Which is the biggest value? (a) u (b) 1 (c) 1/23
b
Let v = -37/27 + 1/27. Let x = -297/16 - -1453/80. Which is the biggest value? (a) v (b) 1 (c) x
b
Let o = -182 - -182.1. Suppose 3*k - 10 = -d, -36 = -2*d + 2*k - 0*k. Let z = d + -18. Which is the second biggest value? (a) z (b) o (c) 3
b
Let w = 554 + -553.924. Let m = 0.046 - w. Which is the smallest value? (a) m (b) -0.06 (c) -0.5
c
Let v = -0.1354 - 10.8646. Let y = 4.03 - -0.97. Which is the third smallest value? (a) y (b) | {
"pile_set_name": "DM Mathematics"
} |
*2 - 39*q - 39. Calculate -4*g(d) + 39*n(d).
-13*d**3
Let x(n) = 51*n**2 + 2*n + 32. Let u(v) = -27*v**2 - v - 15. Let w(o) = 11*u(o) + 6*x(o). Let h(k) = 14*k**2 + 2*k + 40. Calculate -5*h(b) + 8*w(b).
2*b**2 - 2*b + 16
Let c(u) = -18*u. Suppose -43*l = 74*l - 135 + 603. Let i(m) = 18*m. What is l*i(k) - 3*c(k)?
-18*k
Let k(f) = -26*f**2 + 1. Let q(n) = 25*n**2. Let s be (1258/136 + 20/(-2))*-4. What is s*q(u) + 2*k(u)?
23*u**2 + 2
Let a(p) = -6*p + 1. Let i(n) = 13*n - 1. Let o(f) = -9*a(f) - 4*i(f). Let u(k) = 508 - 2052 + 513 + 520 + 512. Let v = -6 + 7. Give v*o(w) + 5*u(w).
2*w
Let p(v) = 8*v**2 - 11*v. Let k(t) = -4*t**2 + 6*t. Let g(a) = 7*a - 122. Let b be g(19). Suppose 4*s - 35 + b = 0. Calculate s*p(c) + 11*k(c).
4*c**2
Suppose -9*x - 18*w + 57 = -16*w, 4*x - 2*w = 34. Let y(h) = -58*h + 7. Let i(g) = 29*g - 4. Determine x*i(n) + 4*y(n).
-29*n
Let b(l) = 61*l + 17. Let h(y) = 20*y + 6. Suppose -50*s + 51 = 9*j - 55*s, -8 = -5*j - 4*s. Calculate j*b(d) - 11*h(d).
24*d + 2
Suppose 2*v = 7*v + 25. Let x(i) = 11*i**2 + 5*i - 6. Let w(l) = -3*l + 5 + 2309307939*l**2 - 1 - 2309307946*l**2. Calculate v*x(j) - 8*w(j).
j**2 - j - 2
Let r(h) = -h + 1. Suppose 0 = 4*i - o + 1, -i + 4*o - 24 = -o. Suppose f + 5 + i = 3*a, 0 = 2*a - 3*f - 4. Let y(d) = 8*d - 5. Give a*y(m) + 10*r(m).
6*m
Let b(o) = -4*o**3 + 165*o + 170*o - 2 + 173*o - 691*o + 174*o - 5*o**2. Let s(y) = -6*y**3 - 7*y**2 - 13*y - 3. Give 7*b(u) - 5*s(u).
2*u**3 + 2*u + 1
Let i(z) = -z + 3. Let t(f) = 91*f**2 - 5*f + 2. Calculate 5*i(x) - t(x).
-91*x**2 + 13
Let z = -10 - -16. Let l(x) = -13*x. Let f(k) = -23*k + 4 - 5 - 2*k + 1. Calculate z*f(d) - 11*l(d).
-7*d
Let o(m) = -2*m - 2. Let l(n) = 10*n + 10. Suppose 0 = -44*b + 331 + 153. Give b*o(p) + 2*l(p).
-2*p - 2
Let s(g) = -174*g**2 - 5*g + 16. Let j(o) = 86*o**2 + 2*o - 7. Calculate 7*j(f) + 3*s(f).
80*f**2 - f - 1
Let w(g) = -3*g - 5. Let q(v) = -30*v - 117. Let r(i) = 12*i + 46. Let x(y) = -7*q(y) - 18*r(y). Calculate 11*w(z) - 6*x(z).
3*z - 1
Let h(x) = -2*x + 6. Let u(v) = 2*v + 5. Let f(k) = k + 5. Let n(p) = -4*f(p) + 3*u(p). Suppose -78 + 104 = 4*i - 6*s, -5*i + 3*s + 1 = 0. Give i*h(t) - 5*n(t).
-2*t + 1
Let m(u) = -u**3 + 6*u - 6. Let h(p) be the third derivative of p**6/40 + p**5/60 - 11*p**4/24 + 11*p**3/6 + 4*p**2 + 33*p - 8. Determine -6*h(d) - 11*m(d).
-7*d**3 - 6*d**2
Let q(t) = 730*t**3 + 55. Let l(v) = 27*v**3 + 2. Suppose 33*z - 32*z = 2. What is z*q(x) - 55*l(x)?
-25*x**3
Let q(i) = 14*i**2 - 826. Let r(u) = 8*u**2 - 404. Give 6*q(k) - 11*r(k).
-4*k**2 - 512
Let b(o) = 96*o**2. Let h be 10/(424/(-265) + (-171)/(-60)). Let x(g) = -32*g**2. Determine h*x(q) + 3*b(q).
32*q**2
Let h(q) be the first derivative of 1/2*q**2 - q - 42. Let n(b) = 2*b - 2. Suppose -3 - 1 = g. Give g*n(s) + 10*h(s).
2*s - 2
Let k(p) = -174*p**2 + 48*p. Let x(o) = 70*o**2 - 20*o. Calculate -5*k(d) - 12*x(d).
30*d**2
Let s(n) = 7*n**2 - 2*n + 2. Let h(c) = 35*c**2 - 11*c + 11. Suppose -10 = 4*z - 2. What is z*h(k) + 11*s(k)?
7*k**2
Let d(w) = -1212*w**3 - 24*w**2 + 28*w - 16. Let b(j) = j**3 + 3*j**2 - 3*j + 2. Determine -8*b(l) - d(l).
1204*l**3 - 4*l
Let z(i) = -2*i**3 - 7*i**2 + 6. Suppose -3*u + 6*r + 4 = 10*r, 2*u = 5*r - 28. Let d = -1 + u. Let l(m) = 3*m**3 + 8*m**2 - 7. Determine d*l(y) - 6*z(y).
-3*y**3 + 2*y**2 - 1
Suppose 3177 + 24227 = -1612*g. Let u(h) be the first derivative of -3*h**2/2 - 5*h - 3. Let j(c) = -8*c - 14. Give g*u(b) + 6*j(b).
3*b + 1
Let h(r) = -6*r**3 + 3*r**2 - 10*r + 898. Let s(x) = 4*x**3 - 2*x**2 + 7*x - 599. Determine -5*h(l) - 7*s(l).
2*l**3 - l**2 + l - 297
Let h be 2*4/128 + 1215/1296. Let b(y) = -y**2 - 1. Let m(k) = -3*k**2 - 3. Let p(t) = 11*b(t) - 4*m(t). Let u(c) = 2*c**3 + 7*c**2 + 6. Give h*u(o) - 5*p(o).
2*o**3 + 2*o**2 + 1
Let z(o) = -10*o**2 + 2*o + 2. Let t(n) = 30*n**2 - 6*n - 5. Suppose 330*r + 272 = 296*r. Give r*z(f) - 3*t(f).
-10*f**2 + 2*f - 1
Let b(d) = -5*d**2 + 6*d - 16. Let h(w) = -8*w**2 + 10*w - 33. Calculate 7*b(m) - 4*h(m).
-3*m**2 + 2*m + 20
Let x(a) = -55*a**3 + 7*a**2 + 6*a. Let q(p) = -82*p**3 + 10*p**2 + 9*p. Give 5*q(v) - 7*x(v).
-25*v**3 + v**2 + 3*v
Let v(d) = d**3 + d**2 - 4*d. Let i(u) = 6*u**3 + 4*u**2 - 5*u + 26. Give -i(b) + 5*v(b).
-b**3 + b**2 - 15*b - 26
Let p(j) = j - 567486 + 567486. Let a = -4 - -3. Let h(d) = -1 + d - 3 + 2 - 2. Give a*p(t) - h(t).
-2*t + 4
Let i(l) = -4*l**2 - 1. Let y(g) = -25*g**2 - 64*g - 8. Give -7*i(f) + y(f).
3*f**2 - 64*f - 1
Let g(d) = -d + 4. Let m = 248 - 247. Let s(j) = -j - 9. Let t(f) = 3. Let h(i) = m*s(i) + 4*t(i). What is -4*g(o) + 3*h(o)?
o - 7
Let h(b) = -253*b - 4. Let x(r) = -761*r - 14. What is 10*h(y) - 3*x(y)?
-247*y + 2
Let o = -7 + 1. Let l(q) = -q. Let a(g) be the first derivative of 7/2*g**2 - 2/3*g**3 + 0*g - 67. Give o*l(j) - a(j).
2*j**2 - j
Let r(f) = -2*f**2 - 7*f + 7. Let j(x) be the third derivative of x**5/60 + x**4/6 - x**3/2 + 10*x**2 - 65*x - 2. Determine 7*j(h) + 3*r(h).
h**2 + 7*h
Let s be 11 - (-90)/(-24)*4. Let v(t) = 2*t + 8. Let y(j) = 8*j + 69. Let q(f) = 3*f + 23. Let x(p) = 7*q(p) - 2*y(p). What is s*x(h) + 11*v(h)?
2*h - 4
Let j(d) = -86*d + 2913. Let l(q) = -150*q + 5829. Give 7*j(f) - 4*l(f).
-2*f - 2925
Let j(s) = -2*s + 1. Let k(h) = -372*h - 3. Calculate 4*j(t) + k(t).
-380*t + 1
Let p(k) = k + 1. Suppose -x = 5*r - 6, -38*x = -43*x - 4*r + 9. Let z(y) = 8*y + 3. Let q = 93 + -99. What is q*p(i) + x*z(i)?
2*i - 3
Let k(d) = 4*d**2 + 29*d - 15. Let i be k(-8). Let j(o) = 5*o + 5. Let z(x) = 2*x + 3. What is i*z(l) - 4*j(l)?
-2*l + 7
Let r(z) = 2*z**2 - z + 1. Let v(n) = n**2 - n. Let o be (-19)/(-3) + -4 - 220/165. Determine o*r(d) - 4*v(d).
-2*d**2 + 3*d + 1
Let l(d) be the third derivative of -d**6/120 + d**4/8 + d**3/6 - 83*d**2 + d. Let k(s) = 2*s**3 - s**2 - 4*s - 1. Determine 3*k(f) + 4*l(f).
2*f**3 - 3*f**2 + 1
Let q(x) be the first derivative of 3*x + 21939. Let l(s) be the third derivative of s**4/24 - 2*s**3/3 + 2*s**2. Give -4*l(g) - 6*q(g).
-4*g - 2
Let b(i) = -2708*i**3 - 2*i**2 + 6*i - 2. Let p(c) = -10831*c**3 - 9*c**2 + 27*c - 9. Give -9*b(l) + 2*p(l).
2710*l**3
Let o(w) = 3*w + 5. Let c(n) be the third derivative of n**4/24 + n**3/6 + n**2. Suppose 57 = 3*g + s, 11422*g - 7*s = 11420*g + 15. What is g*c(b) - 4*o(b)?
6*b - 2
Let t(x) = 1433*x**3 + 5*x**2 - 15*x - 38. Let c(d) = -2150*d**3 - 8*d**2 + 24*d + 60. What is 5*c(q) + 8*t(q)?
714*q**3 - 4
Let z(b) = -4*b**3 + 2*b - 5. Let y(n) be the third derivative of n**6/30 - n**4/8 + 2*n**3/3 + 60*n**2 - 3. Determine 2*y(t) + 3*z(t).
-4*t**3 - 7
Let f(r) = -5*r**2 - 4*r + 349. Let h(y) = 12*y**2 + 10*y - 697. Determine -5*f(m) - 2*h(m).
m**2 - 351
Let t(n) = -23*n**2 + 501*n - 2. Let i(w) = -13*w**2 + w. Determine 2*i(p) - t(p).
-3*p**2 - 499*p + 2
Let o(j) be the second derivative of 5*j**3/6 - j**2 + 2*j. Let v(p) = 14*p - 6. Let m = 90 + -58. Suppose -m*k - 20 = -37*k. Determine k*v(c) - 11*o(c).
c - 2
Let j(p) = -p**2 - p. Let a(r) = -4*r**2 - 4*r + 28. Let v be (((-48)/14)/4)/(4*3/(-84)). What is v*j(b) - a(b)?
-2*b**2 - 2*b - 28
Let q(h) = 3*h**3 + 3*h**2 - 3. Let d(j) = -13*j**3 - 11*j**2 - j + 14. Determine -2*d(o) - 9*q(o).
-o**3 - 5*o**2 + 2*o - 1
Let d(v) = v**2 + v + 1. Let o(l) = 3*l**3 - 3*l**2 - 1 - 5304*l + 5301*l - 4. Let r be 2 - 3 - (2 + 0). What is r*d(w) - o(w)?
-3*w**3 + 2
Let f(k) = k - 1. Let b(x) = 7*x + 11. Let s = 27351 + -27395. What is s*f(a) - 4*b(a)?
-72*a
Let j(n) = 973*n - 41. Let l(c) = -961*c + 51. Give -5*j(g) - 4*l(g).
-1021*g + 1
Let a(y) = 7975908*y**2 - 4944. Let o(s) = -11292*s**2 + 7. Calculate 7*a(q) + 4944*o(q).
3708*q**2
Let b(q) be the second derivative of -258*q - 1/3*q**3 + 0 + 0*q**2 + 1/5*q**5 + 5/12*q**4. Let f(k) = -3*k**3 - 4*k**2 + k. Give -4*b(u) - 5*f(u).
-u**3 + 3*u
Let p(q) = 3*q**3 + 5*q**2 + q + 5. Let j = 373 - 463. Let h be (j/12)/(-5)*(-2 + 0). Let c(t) = 2*t**3 + 3*t**2 + 3. Calculate h*p(n) + 5*c(n).
n**3 - 3*n
Let p(g) be the first derivative of -g**2/2 + 4191. Let s(y) = 2*y**2 + 8*y - 1. Give -3*p(k) - s(k).
-2*k**2 - 5*k + 1
Let l(t) = 6*t**2 - 2. Let g(m) = 54*m**2 + 42*m - 36. Let f(d) = -14*d**2 - 10*d + 9. Let a(u) = -21*f(u) - 5*g(u). Give -2*a(y) + 9*l(y).
6*y**2
Let c(y) = y**3 - 9*y**2 + 27*y - 157. Let r be c(8). Let x(p) = 2*p**2 - 6*p + 5. | {
"pile_set_name": "DM Mathematics"
} |
t*g + 1 + 3 for g.
-2
Let u be (80/(-25))/((-1)/5). Suppose -9 = 13*i - u*i. Let c be (-2*(i - 4))/1. Solve o = c - 1 for o.
1
Let h(r) = -r**3 - 23*r**2 + 18*r - 124. Let y be h(-24). Solve 10 = 6*i - y for i.
5
Suppose -2*r - y + 16 = -4*r, -4*y - 56 = 4*r. Let x be (-6)/15 + 166/r. Let s(i) = -i - 17. Let a be s(x). Solve -3*k - 3 = -a*k for k.
-1
Let d = 29 - 23. Suppose 2*q - 35 = -7. Suppose 4*k + 2*h = q, -d*h + 4*h + 10 = 3*k. Solve k + 0 = 4*w for w.
1
Let m = 4 - 16. Let s = m - -15. Solve -s*w + 6 = -w for w.
3
Let v = -148 + 160. Solve 8 - v = -2*j for j.
2
Suppose 4*w + 9 = 29. Let c(b) = -15*b + 34. Let m(n) = -7*n + 17. Let i(q) = -4*c(q) + 9*m(q). Let s be i(w). Solve -s*k = k for k.
0
Suppose -3*p = -0*p. Suppose -4 = 2*s - 10. Suppose -s*b - 4 = -19. Solve -2*y + b*y = p for y.
0
Let g(a) be the second derivative of a**5/20 - 2*a**4/3 + 3*a**3/2 - 4*a**2 + 36*a. Let p be g(7). Solve 2 = 4*h - p for h.
2
Let i be (-26)/(-325) + (-523)/(-25). Solve -i = 8*n - n for n.
-3
Let c(l) = -3*l**2 - 64*l - 106. Let q be c(-18). Solve -q*y + 5 = -79*y for y.
-1
Suppose -2*o + 4*v = -12, -3*o + 3*v = 2*o - 37. Suppose 0 = -2*y - 26 + o. Let t = y + 11. Solve 0 = -t*k - 1 + 7 for k.
3
Suppose -j = 2*j + 48. Let f = -7 - j. Solve -3*u = -f - 6 for u.
5
Suppose -7*l - 12*l + 494 = 0. Solve m - l = -29 for m.
-3
Let z(r) = r + 1. Suppose s + 2 - 7 = 0. Let m be z(s). Solve -v + m = v for v.
3
Let r = -59 + 63. Suppose 5*s - 16 = -r*i, -2*i + 3*s - 16 = -6*i. Solve -i*c = -4 - 16 for c.
5
Let n be -1 - (-2)/4*0. Let h be (-122)/4*(3 - n). Let z be (-2)/8 - h/8. Solve -y - 4*y = -z for y.
3
Let q be -9 - -20 - -8 - -9. Solve -q = -6*w - w for w.
4
Let j(f) = -2*f - 9. Let c be j(9). Let h = c + 44. Let o = h - 13. Solve -3*u = -7*u + o for u.
1
Let a be -60*(35/10)/(-7). Let v = a - 25. Let l(s) = s**3 - 4*s**2 + 2*s - 2. Let x be l(4). Solve v*f = 4 + x for f.
2
Suppose 2*b = -6*l + 3*l + 23, 3*b = -2*l + 22. Solve -j + 2 = l for j.
-3
Suppose -5*z = -25, h + 3*z - 13 = z. Suppose p = -4 + 6. Suppose 3*d - p*i = -d + 2, d + 5*i = 17. Solve 0 = d*m - h*m - 3 for m.
-3
Suppose 29 = -5*n + 59. Suppose -v = n*v - 105. Solve y - v = -4*y for y.
3
Suppose -2*g + 7 + 7 = 0. Let u be (-3)/(3 + 7/5 - 5). Solve 0 = u*v - g*v for v.
0
Let m be -2 - (0 + 0) - (-18 + 13). Solve 12*u = m*u for u.
0
Suppose -2*m = -i - 0*i - 21, 0 = -4*i - 12. Solve 0 = 6*x - m - 3 for x.
2
Let j = 20 + -18. Suppose j*y = 0, y - 14 + 4 = -2*a. Solve 2*u + 1 + a = 0 for u.
-3
Let p = -49 - -85. Suppose 7*n = 19*n - p. Solve 0 = 2*l + n + 3 for l.
-3
Suppose 0 = 2*i - 10, 2*i = 4*w - 2 - 24. Solve 0 = -s + 14 - w for s.
5
Let r = -2 - -2. Suppose -j + 0*j + 5 = r. Solve o - j = -0 for o.
5
Suppose 2*a + 2*a - 12 = 0. Suppose -a*m = -5*x + 63, 3*x - m = 4*x - 11. Suppose x - 29 = -2*j - 3*z, 11 = -j + 5*z. Solve 0*t + j*t = -4 for t.
-1
Let c be (-2)/(-4) + (-135)/6. Suppose 119 = -4*t - 3*d, -2*t + d + 109 = -6*t. Let s = c - t. Solve 6 = -5*h - s for h.
-2
Suppose 2*b = -3*x - b + 12, -3*x - 4*b + 16 = 0. Solve 5*v + x = 5 for v.
1
Let c be 1 + (-1)/(-2 + 82/42). Suppose -c*h + 20*h = -24. Solve 3 = 3*y - h for y.
5
Suppose 25 = 4*b - 3*g, -2*b - 4*g + 16 = -24. Solve 15 = -7*a + b*a for a.
5
Let l(s) = -5*s + 25. Let m be l(3). Let d = -28 + 34. Solve h + m = d*h for h.
2
Let g = 32 + -30. Suppose -g = -b - 2*n, -n + 6*n = -b - 1. Solve -b*z = -0*z - 8 for z.
2
Suppose -32*b - 19*b = -2040. Solve i + 41 = b for i.
-1
Let v(q) = -q**3 - q**2 - 7*q - 2. Let u be v(-5). Let a = -65 + u. Let m be a/18 - 2/(-9). Solve -b = b - m for b.
2
Let s(m) = -4*m**2 - 30*m - 2. Let f be s(-5). Solve 17*l - f = 5*l for l.
4
Let m(g) = -g**3 - 3*g**2 + 8. Let i be m(-2). Solve i = 5*z + 9 for z.
-1
Suppose 11 - 9 = i. Let m(a) = -i*a - 1 - 2*a + 2*a + 3*a. Let d be m(1). Solve d = -2*v - 3*v for v.
0
Let n be 0 + 1 + 1 + 16. Suppose 55*x = 49*x + 30. Suppose 2*w - 12 = -2*w, -b - x*w + n = 0. Solve b*p = 7*p + 4 for p.
-1
Suppose 0 = 5*n - 3*q - 218, n - q - 12 = 30. Suppose -4*f - 3*j + 7 = -n, 2*j + 30 = 2*f. Suppose 11*o = f*o. Solve o = -3*h - 10 - 2 for h.
-4
Let b = -5174 + 5177. Let t be 2 - ((-2)/(-2))/1. Solve t = b*v - 4*v for v.
-1
Let b be (-112)/(-252) + 442/18. Solve 6*d + b = d for d.
-5
Let r = -24 - -24. Solve r = -3*z - 8 + 20 for z.
4
Suppose -5*u + 3*y - 3 + 18 = 0, 25 = -5*y. Suppose u = 2*t + 9 + 31. Let h be ((-3)/(-6))/((-2)/t). Solve 5*k = -h - 0 for k.
-1
Suppose 0 = k + 2*k + 4*a, 0 = -3*k - 2*a. Suppose k = -4*i - 3*n + 14, -2*n - 6 = -3*i - 2*i. Suppose 0 = -20*x + x. Solve x = -i*m - 3*m for m.
0
Suppose 5*b = -g - 10, 0 = 2*g - b + 3*b + 4. Let y = 9 + -7. Solve 0 = -g*o + y*o + 4 for o.
-2
Let m = -3 - -5. Let c be ((-36)/5)/(69/(-230)). Suppose 0 = -c*d + 19*d. Solve -q - m*q = d for q.
0
Let x = 59 - 39. Suppose 0 = -4*p - x, -2*f = 3*f + 5*p + 10. Solve -j = f*j - 12 for j.
3
Let g(s) = s**2 - 3*s - 5. Suppose -8 - 2 = -2*z. Let i be g(z). Solve 8 + 2 = i*a for a.
2
Suppose 0 = 6*s - 196 + 172. Solve s*j = 10*j for j.
0
Suppose 3*h = i - 6 + 13, -5*i + 5*h + 15 = 0. Let a = 12 - i. Solve -s = 1 + a for s.
-5
Let h(t) = 89*t - 178. Let v be h(2). Solve v = 2*c + 4*c for c.
0
Let h = -6 + 10. Suppose 5*y - 13 = 3*c - 2, -2*c = -h*y + 10. Let t = -8 - -12. Solve -c*i - t = i for i.
-1
Suppose 4*k - 487 + 163 = 0. Suppose -2*u - u + k = 0. Solve -5*o = -2 + u for o.
-5
Let y = -323 - -333. Solve 10*z = 8*z + y for z.
5
Let p be (-4)/(-22) - (-3088)/(-44). Let h = 49 + p. Let z = h + 23. Solve -6*u - z = -4*u for u.
-1
Suppose 22*o - 15*o - 49 = 0. Solve o*i = -13*i for i.
0
Let v = 19 + -14. Suppose 0 = o + 10 - 12. Suppose 0*j + n = -3*j + 9, 5*j - 14 = -o*n. Solve 9*k = j*k - v for k.
-1
Let g(k) = 6*k - 348. Let t be g(58). Suppose 0 = -4*q - x + 5*x, -3*q - x + 8 = 0. Solve t*p + q = -p for p.
-2
Let l(z) = 2*z**3 - 16*z**2 + 19*z - 16. Let k be l(7). Solve 9*j = k - 1 for j.
2
Let s = 21 + -21. Suppose s = j - 2 + 1. Suppose 0*l = 2*l. Solve l = -3*b + j - 4 for b.
-1
Suppose -6 = 7*k - 5*k. Let b = k - -25. Let z = b + -18. Solve z*r - 10 = -r for r.
2
Let o(i) = 2*i**2 - 22*i + 3. Suppose z = -3*z + 3*s + 56, 4*z = -2*s + 36. Let y be o(z). Solve -y*l + 0 = 3 for l.
-1
Let o = -163 + 165. Solve 0 = -o*p - 10 for p.
-5
Let d(p) = p**3 + 4*p**2 - 2*p - 1. Let a be d(-4). Solve 0 = -8*v + a + 25 for v.
4
Suppose -3*n - 5*w = -33, 11*n - 12*n - 3*w = -15. Solve 5 = n*x + 23 for x.
-3
Let l(u) = u**3 - 8*u**2 + 7*u + 4. Let y be l(7). Solve -6*v + y*v = 10 for v.
-5
Let z = -68 - -31. Let s = z - -45. Suppose 0 = -s*y + 7*y + 1. Solve 4*q = 5 - y for q.
1
Suppose 6 = 5*c - 3*j, 0 = -2*c - 0*c + j + 3. Suppose -f = -c*f + 18. Let l be 3*((-12)/f + 3). Solve 4*d = -d - l for d.
-1
Let h(w) = w**3 - 29*w**2 + 30*w - 54. Let n be h(28). Solve 5 = n*p + 1 for p.
2
Suppose -3*p - 2*o - 16 = 0, -5*o = -p - 4 - 7. Suppose -4*z - 18 + 50 = 4*d, 2*z - 13 = -5*d. Let a be (-20)/p*z/6. Solve a*b - b + 12 = 0 for b.
-3
Let k = 442 + -214. Solve -6 = -231*d + k*d for d.
2
Let a(l) = l**2 - 10*l + 27. Let j be ((-18)/(-8))/((27/(-8))/(-9)). Let x be a(j). Solve 3*u - 9 = -x for u.
2
Let i(s) = -s. Let z(d) = -2*d - 12. Let l(n) = 2*i(n) + z(n). Let u be l(-3). Solve u = 4*j + j + 25 for j.
-5
Suppose -3*f - f = -0*f. Let y be (-10)/(-2) - -2 - f. Solve y - 22 = 5*d for d.
-3
Let n = 55 + -55. Suppose f + n = q - 9, 0 = -5*q - 4*f. Solve z + 12 = q*z for z.
4
Let l = 102 + -102. Solve l = 12*n - 10*n for n.
0
Let g = -2929 + 2929. Solve -3*s = -g*s for s.
0
Let g = 695 + -689. Solve g*d - d = -25 for d.
-5
Let v = -2870 + 2870. Solve v = -2*j + j - 3 for j.
-3
Let g(k) = -k**2 + 34*k + 38. Let h be g(35). Solve h*d - 8*d = 0 for d.
0
Let u(d) = -2*d**3 - 18*d**2 - d - 4. Let l be -8 - (-5)/(-3 + -2). Let w be u(l). Solve -16 = w*t - 6 for t.
-2
Let q be 2/6 + (-2216)/(-12). Let j = 311 - q. Suppose 0 = 4*k + 3*k - j. Solve -3*s - 3 = -k for s.
5
Suppose -45 = -3*n - 0*n. Suppose 0 = -3*u + n, y + u - 18 = -0*y. Solve 3*o + 1 = y for o.
4
Suppose 0 = -3*o + 15, 11*o = 4*j + 9*o + 18. Let u be (-32)/64 - j/4. Solve u*g - 4 = -4*g for g.
1
Let o = 5 + -3. Let d(k) = -12*k + 3 - k**2 - 4*k**2 + 4*k**o. Let u be d(-12). Solve -v = -u*v for v.
0
Let g be 70/910 - 64/(-13). | {
"pile_set_name": "DM Mathematics"
} |
**2. What is the second derivative of g(k) wrt k?
-200*k**3
Let f(h) = -8*h**3 - 3*h**2 - 3*h + 14. Let l(k) = -9*k**3 - 2*k**2 - 2*k + 14. Let c(s) = -2*f(s) + 3*l(s). Find the first derivative of c(z) wrt z.
-33*z**2
Suppose -2*v = 2*v - 8. Find the third derivative of 0*k + v*k**2 + 0*k - 2*k**3 + k**3 wrt k.
-6
Let x = -1 - 0. Let b = x - -6. Find the second derivative of -3*s**5 - 4*s + 7*s + s**b wrt s.
-40*s**3
Let c(y) be the first derivative of -y**7/210 + y**6/180 - 5*y**3/3 + 2. Let f(z) be the third derivative of c(z). What is the third derivative of f(l) wrt l?
-24
Let b(s) be the first derivative of -16*s**5/5 - 8*s**2 - 38. Find the second derivative of b(l) wrt l.
-192*l**2
Let i(p) be the second derivative of 5*p**3/6 - 4*p**2 + 13*p. Find the first derivative of i(u) wrt u.
5
Suppose 0 = -l - 3*o - 11, 0 = -3*l - 0*o + 2*o + 11. Let v = l - 0. What is the first derivative of -2*r**4 + v + 2 - 1 wrt r?
-8*r**3
Suppose -4*n = -5*n + 3. Let d(c) be the second derivative of 0 + 0*c**n - 1/10*c**5 + 1/6*c**4 + c + 0*c**2. Find the third derivative of d(v) wrt v.
-12
Find the second derivative of 12*z**2 + 26 - 5*z**2 - 26 + 3*z wrt z.
14
Let w(f) = -3*f**4 + 4*f**2 + 3*f + 4. Let c(n) = -9*n**4 + 11*n**2 + 8*n + 11. Let r(b) = -4*c(b) + 11*w(b). Find the second derivative of r(h) wrt h.
36*h**2
Suppose 7*w - 5*w = 0. What is the third derivative of w*t + 0*t + 3*t**2 + t**4 wrt t?
24*t
What is the third derivative of -90*a**4 + 74*a**4 + 11*a**2 - a**2 wrt a?
-384*a
Let t(r) = 2*r**3 - 9*r**2 - 3*r - 3. Let g(x) = -10*x**3 + 44*x**2 + 14*x + 14. Let i(p) = 6*g(p) + 28*t(p). Find the third derivative of i(q) wrt q.
-24
Let s(i) = -9*i**3 + 5*i + 3. Let p(n) = -n**3 + n. Suppose g + 6 = 5*j, 2*g - 3 = -5. Let l(x) = j*s(x) - 5*p(x). Differentiate l(f) with respect to f.
-12*f**2
Suppose 0 = -7*x + 5*x. Differentiate 1 + 7*d**4 - 4*d**4 - 3 + x with respect to d.
12*d**3
Let b(t) be the third derivative of t**6/24 - 5*t**3/6 + 7*t**2. Differentiate b(a) wrt a.
15*a**2
Let k(r) = -r + 1. Let g(d) = -6*d - 2. Let z(m) = -g(m) + 5*k(m). Let o be z(-5). What is the derivative of 5*s - o*s + 3 + 0 wrt s?
3
Suppose 0 = -4*c - 2*l + 12 + 16, 0 = c + l - 6. Suppose -2*d = v + 4, 5*d + 0*d + c = -3*v. Differentiate a**4 - a**4 - 1 - a**v + 2 with respect to a.
-4*a**3
Let z(v) be the first derivative of -4*v**3/3 + 14*v - 8. Differentiate z(p) with respect to p.
-8*p
Let a(t) = 2*t**2 + 4. Let u(o) be the second derivative of 2*o**4/3 + 17*o**2/2 - o. Let v(g) = 9*a(g) - 2*u(g). What is the derivative of v(l) wrt l?
4*l
Let x(h) = h**2 - 4*h + 2. Let u be x(4). What is the second derivative of 3*b**5 + 4*b - 5*b**5 + 6*b**5 - u*b**5 wrt b?
40*b**3
Let f(w) = -w**2 + w + 1. Let j(p) = -5*p**6 - 9*p**2 + 4*p + 4. Let q(l) = -4*f(l) + j(l). What is the third derivative of q(m) wrt m?
-600*m**3
Find the third derivative of -6*p**2 + 28*p**2 - 740*p**3 + 778*p**3 wrt p.
228
Let k be 1 - 3 - (-1 + -1). Let u be 1 - (-8)/(2 + k). What is the third derivative of 3*f**6 - 2*f**6 - f**5 + f**u - f**2 wrt f?
120*f**3
Suppose -3*v + 4*r + 10 = 0, 0 = -r + 1 - 2. Suppose -3*c = v*b + 4, -3*b - 4*c + 24 = -7*c. What is the first derivative of -6*x**4 + 4 + 4*x**b - 6 wrt x?
-8*x**3
Let f(k) = 6*k + 2. Let n(l) = -7*l - 1. Let p(v) = -4*f(v) - 3*n(v). Find the first derivative of p(m) wrt m.
-3
Let a(t) = -t**4 - t**3 - t**2 + 1. Let i(w) = w**4 + 6*w**3 + 6*w**2 - 12. Let s(v) = 6*a(v) + i(v). What is the first derivative of s(o) wrt o?
-20*o**3
What is the second derivative of -3*l**2 + 2*l + 0*l - 5*l wrt l?
-6
Let y(s) be the first derivative of -5*s**3/3 + 7*s + 1. Find the first derivative of y(t) wrt t.
-10*t
What is the derivative of 15*z**3 + 20 + 7*z**4 - 15*z**3 + 12*z**4 wrt z?
76*z**3
Let t be (35/3)/(-5) - (-6 - -3). Let y(w) be the first derivative of 0*w + t*w**3 + 3 - 3/2*w**2. Find the second derivative of y(r) wrt r.
4
Let l(j) be the third derivative of -j**8/56 + 3*j**5/20 - j**2. What is the third derivative of l(m) wrt m?
-360*m**2
What is the third derivative of 3*x**3 - 37*x**5 - 1 + 78*x**5 - 46*x**5 + 6*x**2 wrt x?
-300*x**2 + 18
Let u be (-15)/6*(2 + -4). Let i(s) be the first derivative of -2/5*s**u + 2*s + 0*s**4 + 0*s**2 + 0*s**3 - 2. Differentiate i(x) with respect to x.
-8*x**3
Let q(w) = -4*w**3 + 22*w**2 + 11*w + 11. Let t(x) = -2*x**3 + 11*x**2 + 6*x + 6. Let v(l) = -6*q(l) + 11*t(l). Find the third derivative of v(i) wrt i.
12
Find the third derivative of 2*l**5 - 39*l + 39*l + 15*l**2 wrt l.
120*l**2
Let g = 75 + -71. Let d(r) be the third derivative of 1/6*r**3 + 0 + 0*r - 3*r**2 + 1/24*r**g. Differentiate d(p) with respect to p.
1
Let c = 6 - -1. Differentiate -c*z + 4*z + 7*z - 3 wrt z.
4
Let r = 2 - -2. Find the second derivative of 6*u**4 + r*u**4 - 10*u - 3*u**4 - u**4 wrt u.
72*u**2
Let b be 5/4*(-20)/(-750). Let n(x) be the third derivative of 0*x**3 + 0*x + 2*x**2 - b*x**5 + 1/24*x**4 + 0. Find the second derivative of n(c) wrt c.
-4
What is the second derivative of -64*w**5 + 20*w**5 + 24*w + 24*w**5 wrt w?
-400*w**3
Let x = 3 + 0. What is the third derivative of z**3 - 2*z**3 + 3*z**2 + x*z**2 wrt z?
-6
Let i(p) = -p**5 + p**4 - p**3. Let h(m) = 19*m**5 + m**4 - m**3 - m**2. Let f(j) = -h(j) + i(j). What is the third derivative of f(w) wrt w?
-1200*w**2
Let z = 14 + -8. Find the third derivative of x - z*x**2 + 3*x**5 - x + 10*x**2 wrt x.
180*x**2
Let m(b) = 3*b**3 - 2*b**2 + b. Let y be m(1). Suppose 0 = 3*v - y*v - 2. Find the third derivative of -4*j**2 + 2*j**2 - v*j**4 + 4*j**2 wrt j.
-48*j
Suppose 0 = -6*t + t. Suppose t*y + 9 = 3*y. What is the second derivative of -f + f**2 + 3 - y wrt f?
2
Suppose 0 = -6*k + 12*k + 7*k. Let v(i) be the first derivative of -2 + 0*i**4 + 0*i**2 + k*i - i**3 - 3/5*i**5. Find the third derivative of v(z) wrt z.
-72*z
What is the third derivative of 22*q**2 - 86*q**4 + 91*q**4 - q**2 wrt q?
120*q
Let z = -9 + 11. Differentiate -4*h**3 - 25*h**z + 25*h**2 + 3 with respect to h.
-12*h**2
Let o(z) = -5*z**3 + 11*z**2 - z + 1. Let x(w) = w**2 + w - 1. Let j(y) = -o(y) - x(y). Find the third derivative of j(a) wrt a.
30
Suppose 5*c = -5*m + 30, 2*c + 24 = 6*c - 4*m. What is the third derivative of -w**6 - w**6 - w**c + w**2 wrt w?
-360*w**3
Let f(z) = 17*z**6 + 43*z**2 + 5*z - 5. Let w(s) = 8*s**6 + 21*s**2 + 2*s - 2. Let m(t) = -2*f(t) + 5*w(t). Find the third derivative of m(u) wrt u.
720*u**3
Let i(w) = 19*w**4 + 8*w. Let d(p) = 5*p**4 + 2*p. Let l(q) = 9*d(q) - 2*i(q). What is the second derivative of l(z) wrt z?
84*z**2
Let s(n) = 51*n**4 + 13*n**3 + 8*n - 13. Let o(y) = -25*y**4 - 6*y**3 - 4*y + 6. Let r(j) = 13*o(j) + 6*s(j). What is the second derivative of r(b) wrt b?
-228*b**2
Let q(z) = -16*z - 5. Let h(w) = -11*w - 3. Let l(k) = -7*h(k) + 5*q(k). What is the derivative of l(c) wrt c?
-3
Let i(s) be the first derivative of -5*s**6/2 + 14*s**3/3 - 27. Find the third derivative of i(p) wrt p.
-900*p**2
Let o(z) = -3*z**4 + 2*z**3 + z**2 - 2. Let y(x) = 12*x**4 - 9*x**3 - 4*x**2 + 9. Let p(l) = 9*o(l) + 2*y(l). What is the third derivative of p(w) wrt w?
-72*w
Let l(d) = -48*d**4 + 32. Let f(w) = 47*w**4 - 31. Let v(o) = 6*f(o) + 5*l(o). What is the first derivative of v(c) wrt c?
168*c**3
Let g be (-22)/(-5) + 12/(-30). What is the third derivative of -6*t**3 + 6*t**3 - 5*t**4 + 0*t**g - t**2 wrt t?
-120*t
Let r(l) be the third derivative of -l**6/20 - l**4/3 - l**2. What is the second derivative of r(z) wrt z?
-36*z
Differentiate p**2 - 3 - 9*p**2 + 7*p**2 - 7 wrt p.
-2*p
Let l(v) = -v**2 + 11*v + 2. Let u be l(11). What is the third derivative of -x**u + x**2 - 2*x**2 - 3*x**3 wrt x?
-18
Let t = -8 - 25. Let s(c) = 3*c**4 - 2*c**3 - c**2. Let n(d) = 48*d**4 - 33*d**3 - 15*d**2. Let p(a) = t*s(a) + 2*n(a). Find the third derivative of p(g) wrt g.
-72*g
Let j(l) be the third derivative of -l**8/336 + 7*l**5/30 + 3*l**2. What is the third derivative of j(g) wrt g?
-60*g**2
Let i(o) = 28*o + 21. Let q(f) = -1. Let c(n) = -i(n) - 6*q(n). What is the derivative of c(j) wrt j?
-28
Let m be 1/6*3*0. What is the third derivative of 3*t**6 + m*t**2 - t**2 - 3*t**2 - t**6 wrt t?
240*t**3
Let z be -1*(5 + -2) + -2. Let y = z - -7. What is the derivative of 3*r + y*r**4 + 3 | {
"pile_set_name": "DM Mathematics"
} |
v**4 - 3*v**4 + 0*v**4)*(2 - 9 - 2)*(v - 2*v + 0*v - 43 - 5*v + 43 + (-4*v + v + 2*v)*(-2 + 1 + 0) - 2*v + 5*v - 2*v).
-36*v**5
Expand (4 + 1 + 0)*(-a**3 + 0*a**3 + 2*a**3) + (3*a - 9*a - 3*a)*(-3*a**2 - 4*a**2 + 2*a**2).
50*a**3
Expand (-10 + 28 - 3*v - 13)*(2*v**4 - v**4 + 0*v**4 + (4*v**3 - 5*v**3 - v**3)*(-2*v + 3 - 3)).
-15*v**5 + 25*v**4
Expand ((-2 - n + 2)*(-3 + 2 + 3) - n - n - n - 4*n + 4*n - n)*(25*n - 9*n - 6*n) + 0*n + 0*n + 2*n**2 + (n + 0*n + 0*n)*(1 - 1 + n).
-57*n**2
Expand (15654 - 15654 - 236*r**3)*(0*r**2 - 3*r**2 + r**2).
472*r**5
Expand (-p + 3*p + 0*p)*(-p**2 + p**2 + 2*p**3) + 0*p**3 - 2*p**4 + 0*p**3 - 66*p**4 + 16*p**4 - 36*p**4 + (-2*p**2 - 2*p**2 + 6*p**2)*(p**2 + p**2 - p**2).
-82*p**4
Expand (0 - 2 + 4 + (5 - 3 + 0)*(1 - 2 + 2) + 2 - 2 + 2)*(46 - 12 - 4)*(13 - 4 + 0)*(0*x + 0*x + x**3).
1620*x**3
Expand (-4*x + 6*x - 3*x)*(-2*x + 4761*x**2 - 11*x - 4744*x**2).
-17*x**3 + 13*x**2
Expand (4 - 5 + 0)*(-116 + 3*o - 2*o + 26).
-o + 90
Expand 2333*m + 30*m**3 - 2333*m + 2*m**3 - 2*m**3 + m**3 + (1 - m - 1)*(0*m**2 + 0*m**2 + 2*m**2).
29*m**3
Expand 0 + 0 + 2 + 2*c**3 - 22*c**2 - 2*c**3 - 3*c**3 + 7*c**3 - 4*c**3 + 3*c - 3*c + (-3*c**2 + 3*c**2 - c**2)*(-2*c + 0*c + 3*c).
-c**3 - 22*c**2 + 2
Expand ((1 + 0 + 0)*(-3 + 0 + 4) - 1 + 2 - 2 - 1 + 5 - 2 + (3 + 0 - 2)*(2 - 2 - 1) + 0 + 5 - 3)*(-38*u**2 + 78*u**2 + 2 + 72*u**2 - u).
336*u**2 - 3*u + 6
Expand (d + d - 3*d)*(22 - 30 + 114).
-106*d
Expand (n - 6*n + 3*n)*(-40 + 40 + 3*n**2) + (1 + 0 - 2)*(3 - 3 - 2*n**3).
-4*n**3
Expand (2 - 2*p - 2)*(0 - 2 + 0) + 71*p + 62*p + 10*p + 3 - 3 - 3*p.
144*p
Expand (2*k**4 + 0*k + 0*k)*(0*k + 0*k - 2*k) - 4*k**2 - k**5 + 4*k**2 - k**5 - 4*k**3 + 4*k**3 + (k**2 + 0*k + 0*k)*(-4*k**3 + 5*k**3 - 8 + k**3).
-4*k**5 - 8*k**2
Expand 7*s - 2*s - 3*s + (4*s + 5*s - 24*s)*(0 + 10 - 3).
-103*s
Expand (-206 - 259 + 455 - 241)*((i + 0*i - 3*i)*(-2 + 4 - 3) - i + 3*i + i).
-1255*i
Expand (2*g - 4*g + 0*g)*(2*g + 2*g - 2*g)*(3*g**2 + g - g) + (1 - 2*g**3 - 1)*(-15 + 15 - 7*g).
2*g**4
Expand (31 - y + 25 - 44 + 2*y**2)*(-10*y + 11*y + 7*y).
16*y**3 - 8*y**2 + 96*y
Expand (-11*q - 11*q - 3*q)*(0*q**2 - 3*q**2 + q**2) + 4*q**3 - q**2 + 7*q**2 - 5*q**2.
54*q**3 + q**2
Expand (3*h**2 - 3*h**2 - 2*h**3)*(-328*h**2 + 310*h**2 + 207*h**2) + (0*h + h + 0*h)*(h**4 - h + h) + 0*h**5 - 4*h**5 + 6*h**5.
-375*h**5
Expand (-25*g**4 + 15*g**4 + g**4)*(3*g + 0*g - g)*(1 + 1 - 5).
54*g**5
Expand ((0*x + x + 0*x)*(-4*x**2 + x**2 + x**2) - 2*x**2 + 2*x**2 - 2*x**3 - 3 - 3*x**3 + 3)*(-2 + 111*x**2 + 1 - 122*x**2).
77*x**5 + 7*x**3
Expand (3 - 3*a - 3)*(-3*a**3 + 3*a**3 - 7*a**4) + 0*a**5 - 2*a**5 - 3*a**5.
16*a**5
Expand (-2*a**2 - 2*a**2 + 2*a**2)*(-1 + 1 + 2*a**3) - 3 + 3 + a**5 + a**5 + 0*a**3 + 0*a**3 + (3*a + 0*a - a)*(-a**3 + 2*a**4 + a**3) + 2*a**4 - 2*a**4 + a**5.
3*a**5
Expand 117 - 117 + 55*c**2 + (-c + 2*c**2 + c)*(3 - 5 + 1).
53*c**2
Expand -3*g**4 - 8*g**4 + 4*g**4 + (8*g - 5*g + 25*g)*(-g**3 + 2*g**3 + 0*g**3).
21*g**4
Expand (2*w - 3*w + 0*w)*(-2 + 2 + 1) - 2*w - w + 2*w - 12*w - 5*w + 6*w + (-3 + 0 + 5)*(2*w - 3*w - w) + w - w - w - 3*w + 7*w - w.
-15*w
Expand 27 - 27 + 36*k**5 - k + k**5 + k + (2 - k - 2)*(4*k**4 - k**4 - 4*k**4).
38*k**5
Expand 3*r**4 + 2*r**4 - 3*r**4 + (1 + r - 1)*(r**2 - r**2 - 3*r**3) + 6*r**2 + 8*r**4 + 6*r**4 - 4*r**2.
13*r**4 + 2*r**2
Expand -190*d + 54*d + 13*d + 0 + 0 - d + (-3 + 3 - d)*(2 - 2 + 1) + d - 1 + 1 + 2*d - 3*d + 3*d + 2*d + d - d.
-120*d
Expand (-275*x**2 + 569*x**2 + 46*x**2)*(0*x**3 + 4*x**3 - 5*x**3)*(-2 + 1 - 1).
680*x**5
Expand (-4 + 0 + 3)*(-12*r + 12*r - 5*r**2) + (3*r - 10*r - 21*r - 10*r)*(-1 - 2*r + 1).
81*r**2
Expand (-48*h + 48*h + 4*h**3)*(33 + 28 - 98).
-148*h**3
Expand (-a**2 + 2*a - 2*a)*(-113*a**3 - 4*a**3 - 37*a**3) - 3*a + a**5 + 3*a.
155*a**5
Expand (3871*d - 3871*d + 74*d**3)*(3*d**2 - d**2 - d**2 + (5*d + d - 4*d)*(-2*d - 2*d + 3*d)).
-74*d**5
Expand -4*n**3 + 2*n**3 + 11*n**3 + (2*n + 3*n - 3*n)*(2*n**2 + 0 + 0) + n**2 - 2*n**3 - n**2 - 28*n**3 + 48*n**3 - 21*n**3 + 86*n.
10*n**3 + 86*n
Expand -4*c**4 + 4*c**4 - 2*c**5 + (-216*c**2 + 216*c**2 - 68*c**4)*(0 - c + 0).
66*c**5
Expand (-3*j**2 + j**2 + 0*j**2)*(2*j**2 + 1 - 1) + j**4 + 0*j + 0*j + (-j - 2*j + 2*j)*(-3*j**3 + j**3 - 5*j**3).
4*j**4
Expand (-3 + 3 + q)*(3 + 3 + 1)*(-74 + 74 - 11*q).
-77*q**2
Expand -2*c**5 + 5*c**5 - 4*c**5 + (c + 3*c - 6*c)*(0*c**4 + 0*c**4 - 2*c**4) + 395*c**5 - 147*c**4 + 147*c**4 - c**3.
398*c**5 - c**3
Expand (4*v**2 + 0*v**2 - 3*v**2)*(5*v**2 - 4*v**2 + v**2)*(-118*v - 51*v + 25*v) + (v**3 + 4*v**3 - 3*v**3)*(2*v + 2*v**2 - 2*v).
-284*v**5
Expand (3*u + 10*u + u)*(-3*u + 3*u + u) + (3 + 0 - 2)*(-3*u**2 + 2*u**2 + 3*u**2) - 3*u**2 + 4*u**2 + 0*u**2.
17*u**2
Expand (-q**2 + 3*q**2 - 4*q**2)*(q - 2 + 2)*(11*q - 39*q - 19*q).
94*q**4
Expand -17*r**2 + 25*r**2 - 9*r**2 - 4*r - r**4 + (2 - 3 + 3)*(r**4 + 3*r**4 + 0*r**4).
7*r**4 - r**2 - 4*r
Expand (36*v + 18*v + 1 - 21*v)*(0 - 2 + 5).
99*v + 3
Expand -10*r**4 + 7 - 5 - 2*r**2 + 1 - 6*r**4 + 2*r**4 + 3*r**4 + (0*r - 3*r + r)*(2*r - 2*r + 2*r**3).
-15*r**4 - 2*r**2 + 3
Expand (y + 3*y - 5*y + 3)*(30*y**2 + 5*y**2 + 65*y**2).
-100*y**3 + 300*y**2
Expand (3*z**3 + 0*z**3 - z**3)*(-2 + 4 - 9) + z**3 + 35*z - 35*z.
-13*z**3
Expand (-2258 + 2347 - 3*g**3 + g**3)*(-2 + 1 + 0)*(0 + 2 + 4).
12*g**3 - 534
Expand (-4 + 4 - 3*q**4)*(-1 - 1 - 1)*(3*q - q + 0*q + (2 + 1 - 1)*(-q + 6*q - q) + 8*q - q + 1 - 3*q).
126*q**5 + 9*q**4
Expand 7*s**4 + 3*s - s**5 - 7*s**4 - 1 + (-3*s + 2*s + 0*s)*(6*s**3 - 6*s**3 - 3*s**4).
2*s**5 + 3*s - 1
Expand 2*g**5 + 2*g**5 - 3*g**5 + (-g**2 + g**2 + 2*g**5)*(-2 - 1 + 4) + g**5 + 3*g**4 - 3*g**4 - g - 63*g**4 - 3 + 43*g**4 + g**5 + 27*g**4.
5*g**5 + 7*g**4 - g - 3
Expand (-5 - 2*y**2 + 5)*(3*y**2 - 5*y**2 + 4*y**2)*(-112 + 76 - 101).
548*y**4
Expand (10 - 10 + 4*l)*(-l**3 - 5*l**3 + 4*l**3 + (-6 + 2 + 3)*(5*l**3 - 6*l**3 - 2*l**3)).
4*l**4
Expand (0 + 0 - 1)*(79*s - 8*s + 8*s)*(-s**3 + s**3 + 2*s**4).
-158*s**5
Expand (5*m + 7*m - 3*m)*(0 - 1 - 1) + (2 + 3 - 3)*(-2*m + 0*m + 0*m) + 2*m - 5*m - m.
-26*m
Expand s**2 + s**2 - s**2 + (-11*s - 3*s - 12*s)*(-s + 3*s - 42 + 66).
-51*s**2 - 624*s
Expand (-u + 8*u - 4*u)*(-17 + 6 + 4) + u + u - 3*u.
-22*u
Expand (9*r - 9*r - 3*r**3 + 3)*(-3*r + 4*r + r)*(0*r + r + 2*r).
-18*r**5 + 18*r**2
Expand (-5 + 3*r**3 + 5)*(0*r - r + 0*r) - r**4 - 6*r**4 + 5*r**4 + 0*r**4 + 0*r**4 - 2*r**4 + (-3*r**2 - r**2 + 5*r**2)*(2*r**2 + r - r) + 0*r - r**4 + 0*r.
-6*r**4
Expand (0*m + 7*m**2 + 0*m)*(-17 + 5 + 15).
21*m**2
Expand (-1714 + 3310 - 1763)*(-1 + 0 + 3)*(4*j - 3*j - 2*j).
334*j
Expand (-210*y**2 + 112*y**2 + y + 1 + 100*y**2)*(y - y**3 - y).
-2*y**5 - y**4 - y**3
Expand (g**2 - 2*g**2 + 4*g**2)*(-14 + 28 - 11)*(-2 - 2*g**2 - 5 - 13).
-18*g**4 - 180*g**2
Expand 2*b**4 - 3*b**4 - b**4 + (339*b - 339*b - 16*b**2)*(3*b**2 - b**2 + 5*b**2).
-114*b**4
Expand (2*w - 28 + 28 - w - 3*w + 5*w + (7*w - 2*w - 3*w)*(2 + 0 - 3) - 4*w + 2*w + w - w - w + w + 4*w - 5*w + 0*w)*(4 + 3 - 6)*(0 - 5 + 3).
4*w
Expand (-3*s - s**2 - 10*s + 6*s)*(-2*s**3 - 5*s**3 + 6*s**3).
s**5 + 7*s**4
Expand 2*w - 3*w**2 - 395 - 374 + 725 + w**2 + 0*w**2 + w**2 + (-2*w - 2*w + 3*w)*(4*w + w - 4*w) - 2*w**2 - 1 + 1.
-4*w**2 + 2*w - 44
Expand (1 - 1 - 2*h)*(2 - 2 - h**3) + (56 + 9*h**2 - 56)*(-10*h**2 + 2*h**2 - 7*h**2).
-133*h**4
Expand -b - 1 + 1 + (1 - 1 - 2)*(-1 + 1 - 2*b) + 3*b - 5*b + 3*b + 2*b + 4*b - 3*b + (12*b + 31*b - 21*b)*(-1 + 4 - 2).
29*b
Expand 0*u + 3*u - 4*u + (2 - 1 - 2)*(-u + 0*u + 7*u) + 14*u + 13*u - 10*u.
10*u
Expand 5*q**4 + q**4 - 4*q**4 + (3 - 3 + q**2)*(9 - 9 + 7*q**2) - 2*q**4 + 20*q**3 - 20*q**3.
7*q**4
Expand (-2 + l**3 + 2)*(12*l + 32 - 32)*(0 + 2 + 1).
36*l**4
Expand -9*l**5 - 2*l**4 + 2*l**4 - l**5 + l**5 + 2*l**5 + (4*l**3 + 2*l**3 - 4*l**3)*(-2*l**2 - 5 + 5) - 5*l**2 + l**5 + 5*l**2 + 0*l**4 + 2*l**5 + 0*l**4.
-8*l**5
Expand (-1 - 2 + 0)*(5*s + 2*s - 3*s) - s - 10*s - 14*s - 2.
-37*s - 2
Expand (2*h**5 - 14*h**5 - 4*h**5)*(-2 - 4 - 7 - 1 + 4 - 1 + (1 - 1 + 1)*(-1 + 4 - 5) + 0 + 0 + 1 + 2 + 0 - 1) + 2*h**5 + h**3 - h**3.
178*h**5
Expand -l**4 - l - 3*l**2 + l + (-24*l + 14*l - 26*l)*(-l**2 - l**3 + l**2).
35*l**4 - 3*l**2
Expand -24*h - 87 + 87 - 2*h - h + h + (1 + 1 - 3)*(-h - 3*h + h) - 2*h + 2*h + 2*h + 2 - h - 2.
| {
"pile_set_name": "DM Mathematics"
} |
3*y + i = -w - o, y - 31 = -4*w. List the prime factors of w.
3
Let a(z) = z. Let o(y) = y**2 + 6*y + 1. Let n(l) = 5*a(l) - o(l). Let v(u) be the first derivative of n(u). What are the prime factors of v(-5)?
3
Suppose 0 = -0*y + y - u - 14, -5*u = -4*y + 53. What are the prime factors of y?
17
Let n = -16 - -16. Suppose n = -5*s - 3 + 43. List the prime factors of s.
2
Suppose -45 - 39 = 4*x + 4*f, -2*x - 39 = f. Let u = x + 37. What are the prime factors of u?
19
Let n = -1 + 6. Suppose 2*k = n*p + 57, 3*k - 42 - 36 = 5*p. List the prime factors of k.
3, 7
Let h(u) = u + 2. Let m be h(3). Suppose m = o - 2*x - 5, -4*x = -o + 10. What are the prime factors of o?
2, 5
Suppose -2*t + 12 = 2*c, -c + 2 = t + 2*t. List the prime factors of c.
2
Let u(j) = -j**3 - 5*j**2 + 6*j + 6. List the prime factors of u(-7).
2, 31
Let u(k) = -k**3 - 18*k**2 + 16*k - 14. List the prime factors of u(-19).
43
Suppose -h - 5*s - 164 = -5*h, -s - 4 = 0. List the prime factors of h.
2, 3
Suppose 5*g - 9 = 2*g. Suppose g*q = 26 + 31. List the prime factors of q.
19
Let v = 80 - 41. Suppose 0 = -0*h - 3*h + v. List the prime factors of h.
13
Let k = 6 + -6. Suppose 0 = -h - 2*i - 5 + 31, 2*h - 2*i - 22 = k. What are the prime factors of h?
2
Let d = 34 - 30. List the prime factors of d.
2
Let h(i) = -i**3 - 9*i**2 + 10*i. Let q be h(-10). Suppose 3*u + u - 2*t + 34 = q, -3*u = t + 13. Let o = 8 + u. List the prime factors of o.
2
Let m = -8 + 3. Let p = -8 - m. What are the prime factors of 1*(7*-3)/p?
7
Let j be (-9)/(-11) + (-12)/(-66). Let a be j/(-1) + 0 - -2. Suppose -l + a + 6 = 0. List the prime factors of l.
7
Let d = 19 + -27. Let r be (-106)/d - (-3)/4. Suppose -5*n + r + 46 = 0. What are the prime factors of n?
2, 3
Let c be (-5 - 1/(-1))*-1. Suppose -5*a + c*a = -16. What are the prime factors of a?
2
Suppose 3*n - 62 = -c, 0*c - 4*n - 264 = -4*c. What are the prime factors of c?
5, 13
Let r(g) = -g**3 - 8*g**2 + 9. Let a(t) = 2*t. Let i be a(-4). Let c be r(i). Suppose 5*o - c = 1. What are the prime factors of o?
2
Suppose -3*r + r + a + 12 = 0, -2*r - 5*a - 12 = 0. Suppose -4*m + r + 12 = 0. List the prime factors of m.
2
Let g = -33 - -120. List the prime factors of g.
3, 29
Let w(y) be the third derivative of y**5/60 - 2*y**3 + y**2. Let j(k) = k**2 - 13. Let b(u) = -6*j(u) + 5*w(u). List the prime factors of b(0).
2, 3
Let i = -6 - -10. Let t(w) be the second derivative of w**3/3 + 5*w**2/2 + w. List the prime factors of t(i).
13
Let j = -16 + 101. What are the prime factors of j?
5, 17
Let h = -25 - -70. Suppose 10*a + h = 5*a. Let v(u) = -u - 5. List the prime factors of v(a).
2
Suppose 209 - 14 = 5*c. List the prime factors of c.
3, 13
Let t = 228 + -116. What are the prime factors of t?
2, 7
Let a(d) = d**2 - 6*d + 6. List the prime factors of a(6).
2, 3
Let k(u) = -u**3 - 3*u**2 - 3*u + 4. What are the prime factors of k(-4)?
2
Let z(c) = -2*c - 2. Let f(g) = g**2 + 7*g + 2. Let j be f(-6). Let u = -7 - j. What are the prime factors of z(u)?
2
Let z = -27 + 18. List the prime factors of (42/z)/((-8)/12).
7
List the prime factors of 14 - 2/5*5.
2, 3
Suppose -6*y = -y. Suppose y = -x + 5 - 2. What are the prime factors of x?
3
Suppose 2 = 3*y - y. Let f be y - 17*(0 - 1). Suppose -2*c + f = -0*c. List the prime factors of c.
3
Suppose -3*h - 4*u = -2*u - 57, 3*h = -5*u + 57. Suppose -3*z + h = -5. List the prime factors of z.
2
Let d(f) = -2 - 2 - 4*f - 3*f + 2*f - f**2. Let w be d(-4). Suppose 2*s + 2*s - 32 = w. List the prime factors of s.
2
Let z(y) = -y**2 + 3*y + 2. Let t be z(2). Suppose -2*m + 2*f = -6*m - t, -4*f = 4*m. List the prime factors of 8 + (m - (1 + -3)).
2
Suppose -4*l + 3*l + 1 = 0. Let g be l*-1*(2 + -3). What are the prime factors of 9 - (1 - 1/g)?
3
Let l(v) = v**3 + 9*v**2 - 2*v + 13. List the prime factors of l(-9).
31
Let a = -2 + 5. Let u = a + -1. List the prime factors of u + -1 - (1 + -6).
2, 3
Suppose -390 = -5*t - 0*t. Let c = t + -43. Suppose 3*u + 5*m - 55 = 0, -c = -2*u - 4*m + m. What are the prime factors of u?
2, 5
Suppose -131 = -5*d - 4*h + 6*h, -3*d + 75 = -3*h. Suppose -m + 2*a + d = 10, 0 = -2*m + 5*a + 37. List the prime factors of m.
11
Let v(g) be the first derivative of -g**2/2 + 3*g - 2. Let t be v(0). Suppose 4*n - t*x = 74, 3*x + 0*x + 57 = 3*n. List the prime factors of n.
17
Let f(c) = -c**3 - 12*c**2 - 11*c - 7. Let z be f(-11). Let v(a) = a**3 + 6*a**2 - 9*a - 8. What are the prime factors of v(z)?
2, 3
Let f(i) = -5*i + i + 1 + 0. Let t be f(-1). Suppose -t*s + 5*n = 6 + 4, s + n - 8 = 0. List the prime factors of s.
3
Let q = -14 + 10. Let a be (-12)/(-9) - q/6. Suppose -r = -a*r + 4. What are the prime factors of r?
2
Let j(h) = -h - 1. Let g be j(-1). Let u(a) = 4 - 5*a - a + g - a**2. What are the prime factors of u(-6)?
2
Suppose 0 = 5*f + b - 8, 1 + 3 = -f - 3*b. What are the prime factors of f?
2
Let z(m) = -9*m**3 + 1. Let c be z(-1). Let r = -5 + c. What are the prime factors of r?
5
Let b(y) = 3*y - 4. Let s be b(2). Suppose -s*k - 6 = -20. List the prime factors of k.
7
Let n(m) = m**2 + 25. What are the prime factors of n(8)?
89
Let z be 3/2*40/15. Let h(c) = -c**3 + 7*c**2 - 6*c + 2. List the prime factors of h(z).
2, 13
List the prime factors of 24/9*2370/20.
2, 79
Suppose -4*n = 8, n + 12 = 4*i + 2. Suppose -3*f - i*f - 2*b = -15, 5*b = 0. Suppose f*p + 1 - 7 = 0. List the prime factors of p.
2
Suppose d + 1 = 3. List the prime factors of 3 - 6*(-3)/d.
2, 3
Let w = 17 + -1. List the prime factors of 9/(-6*(-1)/w).
2, 3
Suppose 0 = 6*f - 11*f + 375. List the prime factors of f.
3, 5
Let d = 135 - 46. What are the prime factors of d?
89
What are the prime factors of -4*2*(-108)/24?
2, 3
Let r(v) = -13*v**2 - 2*v - 1. Let u be r(-1). Let o be u*(0 - (-3)/(-12)). Suppose o*d - 13 = 38. List the prime factors of d.
17
Suppose -2*t = -4*t + 8. Let m = t + -2. Suppose 5*g - 5*s = 0, -m*g = 2*s - 4 - 16. What are the prime factors of g?
5
Let b(x) = -x**2 - 12*x - 6. Let w(j) = -3*j**2 - 35*j - 18. Let v(h) = -17*b(h) + 6*w(h). Let i be v(-6). Let n = i - -11. What are the prime factors of n?
5
Let y = -11 - -99. List the prime factors of y.
2, 11
Let u(w) be the third derivative of w**6/120 - w**5/20 - w**4/8 + w**3/2 - w**2. Let n = 15 + -11. What are the prime factors of u(n)?
7
Suppose -3*i + 1 + 11 = 0. Let b = i + -2. List the prime factors of 2 - (-3 + b)*9.
11
Suppose -s + 75 = -5*z, 0*s + s = z + 15. Let m = z + 30. What are the prime factors of m?
3, 5
Suppose 43 = 3*r - 32. What are the prime factors of r?
5
Suppose 0*u = -4*u - 4, -q + 49 = -5*u. List the prime factors of q.
2, 11
Suppose z = -2*z + 6. Suppose 0*n - z*n + 74 = 0. What are the prime factors of n?
37
Let n(j) = -j**3 + 5*j**2 + 6*j + 5. Let i(p) = -p**3 + 9*p**2 + p - 13. Let c be i(9). Let q = 10 + c. What are the prime factors of n(q)?
5
Suppose 4 = d + 2*z - 7*z, 0 = 4*d + 2*z + 28. Let g(n) = -n + 2. List the prime factors of g(d).
2
Suppose 0*z + z + 22 = 0. Let o = -10 - z. What are the prime factors of o?
2, 3
Let g be (4/(-12))/((-3)/(-9)). Let f = g - -22. List the prime factors of f.
3, 7
List the prime factors of ((-65)/(-10))/((-1)/(-14)).
7, 13
Suppose -6 = 2*z + 4*m, 5*z - 7*m = -4*m + 37. What are the prime factors of z?
5
Let g(c) = -3 + c + 5*c + c**2 - 2. Suppose -4*y - i - 8 - 20 = 0, 0 = 3*y - 4*i + 21. List the prime factors of g(y).
2
Let q(c) = -5*c**2 + 4*c - 14. Let u be q(3). Suppose 18 = -3*k + 4*l - 51, -4*k - 93 = -5*l. Let z = k - u. List the prime factors of z.
2, 5
Suppose 0 = -5*h + 15, 4*v + 4*h + 3 = 23. Suppose v = 5*l - 33. List the prime factors of l.
7
List the prime factors of 2 - ((2 - 4) + 2).
2
Let z = 20 - -22. Suppose 3*y - 5*y + z = 0. What are the prime factors of y?
3, 7
Let d(x) = x**3 - 3*x + 1. Let k be 8/(-6)*(-6)/4. Let q be d(k). Suppose 26 = q*i + 5. What are the prime factors of i?
7
Let j = -3 - -8. Suppose 5*b = -j*r - 25, 1 = 3*b - 2*r + 6. What are the prime factors of b*((1 - -2) + -10)?
3, 7
Suppose 0 = 5*p - 6 - 39. List the prime factors of (p/(-6))/((-6)/8).
2
Let d(u) = u**2 - 2*u + 23. List the prime factors of d(0).
23
Let u = 17 + 15. Suppose g + 2*g - u = 2*m, 2*g - 24 = 4*m. List the prime factors of g.
2, 5
Suppose 0 = 4*u - 0*d - | {
"pile_set_name": "DM Mathematics"
} |
20 + 5*i**4/6 + 2*i - 28. Find the third derivative of h(v) wrt v.
-24*v + 198
Let s(i) be the third derivative of 1/6*i**3 - 2*i**2 + 0*i + 0*i**4 + 0 + 0*i**5 + 1/120*i**6. Differentiate s(k) with respect to k.
3*k**2
Suppose -5*c + 3*c = -20. Let j(y) = 2*y**4 + 7*y**2. Let f(k) = 6*k**4 + 22*k**2. Let s(a) = c*j(a) - 3*f(a). Find the third derivative of s(q) wrt q.
48*q
Let u(c) = 28*c**5 - 17*c**3 + 25*c**2. Let i(z) = -9*z**5 + 6*z**3 - 8*z**2. Let o(a) = -17*i(a) - 6*u(a). What is the third derivative of o(p) wrt p?
-900*p**2
Let f(p) = -p**5 + p**4 + p**3 - p - 1. Let m(x) = 22*x**5 - 4*x**4 - 4*x**3 + 11*x + 4. Let z(u) = -4*f(u) - m(u). Find the second derivative of z(h) wrt h.
-360*h**3
Let p(a) be the first derivative of 0*a - 1/3*a**3 + 0*a**4 + 0*a**5 + 4 - 1/2*a**6 + 0*a**2. Find the third derivative of p(v) wrt v.
-180*v**2
Let r = 10 + -5. Let g be r*((-6)/(-10))/1. Differentiate -5*n**3 + 2*n**3 + 3 + 0*n**g + 1 with respect to n.
-9*n**2
What is the first derivative of 41*v - 22*v - 16*v + 11 - 18*v wrt v?
-15
Let m(y) be the second derivative of -y**7/70 + y**5/10 - y**2/2 - y. Let l(v) be the first derivative of m(v). Find the third derivative of l(b) wrt b.
-72*b
Suppose -11 + 7 = -g. Let h(m) be the first derivative of -1/2*m**g - 1/3*m**3 + 0*m + 0*m**2 - 2. Find the third derivative of h(q) wrt q.
-12
Let u(d) be the third derivative of d**7/210 + d**6/20 - d**4/12 + 2*d**3 + 51*d**2. What is the second derivative of u(v) wrt v?
12*v**2 + 36*v
Let y(w) = -26*w**3 - 2*w**2 + 5. Let v(q) = 26*q**3 + 3*q**2 - 6. Let d(r) = -2*v(r) - 3*y(r). Differentiate d(k) wrt k.
78*k**2
Let q(p) = 14*p + 10. Let v(y) = -y - 1. Let k(b) = -2*q(b) - 6*v(b). Differentiate k(m) with respect to m.
-22
Suppose 0 = -0*g + g - 2. Find the third derivative of 3*i**6 + 7*i**3 - g*i**2 - 7*i**3 wrt i.
360*i**3
Let t(z) be the second derivative of 3*z**5/5 - 5*z**4/4 + 12*z. Find the third derivative of t(k) wrt k.
72
Let a = 10 - 6. Let u = 8 - 4. Find the second derivative of -2*p - 2*p**a + p**u + 2*p**4 wrt p.
12*p**2
What is the third derivative of 7*h**4 + 9*h**2 + 6*h**2 - 21*h**2 wrt h?
168*h
Let u(b) be the first derivative of -5*b**5 + 7*b - 24. What is the first derivative of u(y) wrt y?
-100*y**3
Let l(f) = -2898*f**2 + 253*f + 3151. Let u(d) = 23*d**2 - 2*d - 25. Let o(c) = -2*l(c) - 253*u(c). What is the derivative of o(q) wrt q?
-46*q
Suppose x - 3 = 1. Let v be (-4)/10 + (-12)/(-5). What is the third derivative of x*t**2 - t**4 - 4*t**2 - v*t**2 wrt t?
-24*t
Let g(x) = -5*x**2 - 5*x - 3. Let r(o) = -11*o**2 - 10*o - 7. Let q(a) = -7*g(a) + 3*r(a). What is the second derivative of q(s) wrt s?
4
Let b(u) = 159*u**4 + 7*u**2 + 7*u + 118. Let h(p) = -106*p**4 - 5*p**2 - 5*p - 79. Let y(k) = 5*b(k) + 7*h(k). Differentiate y(i) wrt i.
212*i**3
Let j(o) be the first derivative of 6*o**5/5 - o + 8. What is the first derivative of j(c) wrt c?
24*c**3
Find the second derivative of -c - 17*c**2 - 21*c + 3*c wrt c.
-34
Suppose 0 = s - 2*s + 5. Suppose s*n = -0 + 15. What is the third derivative of -2*f**3 + 2*f**3 + 0*f**2 - 4*f**2 - 4*f**n wrt f?
-24
Let n = -1 - -3. Suppose -2*j + 3*k = -j, -2 = -n*k. What is the derivative of -1 + j*a**2 - 3*a**2 + a**2 wrt a?
2*a
Let k(o) be the third derivative of 0*o + 0*o**4 + 1/2*o**3 + 0*o**5 + 5*o**2 + 0 - 3/40*o**6. Find the first derivative of k(q) wrt q.
-27*q**2
Let f be 34/10 - (-8)/(-20). Suppose -f*k - v - 9 = -4*v, 7 = k + v. Find the second derivative of k*t**5 + t**5 + t + 0*t wrt t.
60*t**3
Let m(l) be the third derivative of -l**7/105 - l**5/30 - 6*l**2. What is the third derivative of m(a) wrt a?
-48*a
Find the first derivative of 6*t - 13 - 18 - 6*t + 20*t**4 wrt t.
80*t**3
Let l(x) be the first derivative of -x**9/504 + x**5/60 + x**2/2 + 4. Let m(s) be the second derivative of l(s). Find the third derivative of m(j) wrt j.
-120*j**3
Let l = -18 - -21. What is the second derivative of -11*c + 4*c**l + 14*c + 4*c**3 - 4*c**3 wrt c?
24*c
Let c(z) be the third derivative of z**8/336 + z**5/40 - z**3/3 + 3*z**2. Let w(s) be the first derivative of c(s). What is the second derivative of w(d) wrt d?
60*d**2
Let u(c) be the second derivative of -c**5/20 - c**4/3 - 2*c**3/3 + 3*c. Let j be u(-3). What is the derivative of -5 - 2*n + n + 0 + j wrt n?
-1
What is the third derivative of 11*p**3 - 7 - 5*p**2 + 74*p**5 - 75*p**5 + 4 wrt p?
-60*p**2 + 66
Suppose 3*q + 4 = r + 3, 3*q - 2 = -2*r. Find the second derivative of -7*t**4 + q*t + 5*t**4 - t wrt t.
-24*t**2
What is the third derivative of 2*v**5 + 22*v**6 - 20*v**2 - 30*v**6 - 2*v**5 wrt v?
-960*v**3
Let p(t) be the second derivative of -t**5/10 + 11*t**2/2 + 30*t. What is the first derivative of p(u) wrt u?
-6*u**2
Let x(i) = -4*i**2 + 7*i. Let c(v) = 4*v**2 - 8*v. Let g(z) = -4*c(z) - 3*x(z). What is the second derivative of g(j) wrt j?
-8
Let p(y) = y - 4. Suppose x + 7 = -4*a - 3, 0 = x + 3*a + 6. Let v be p(x). Find the third derivative of o**5 - o**2 + o**2 - v*o**2 wrt o.
60*o**2
Let g(q) = -25 - q + 25 + q**2. Let s be g(-1). What is the third derivative of -5*d**s + 4*d**2 - d**2 + 4*d**3 + 3*d**2 wrt d?
24
Let w(c) be the second derivative of -7*c**6/30 - c**4/2 - 3*c. What is the third derivative of w(g) wrt g?
-168*g
Let p = -4 - -2. Let j = 3 + p. What is the derivative of -j - q - 1 + 4*q wrt q?
3
Suppose -t - 15 + 0 = 4*d, -d - 7 = -3*t. Let w be 4/d*0/2. What is the first derivative of -2 + w*b**4 - 2*b**4 + 0 wrt b?
-8*b**3
What is the second derivative of 37*p**4 + 40*p**4 - 81*p**4 - 17*p wrt p?
-48*p**2
Suppose 5*y + 9 - 24 = 0. What is the first derivative of y + 2*w**3 - 4 - 2*w**3 - w**3 wrt w?
-3*w**2
Let i(a) = a + 5. Let h(u) = u + 4. Let o(k) = 5*h(k) - 4*i(k). Let d be o(2). What is the third derivative of -2*j**3 - d*j**2 - 2*j**2 + 7*j**2 wrt j?
-12
Let r(x) = -x + 4. Let u be r(-2). Find the third derivative of u*p**4 + p**4 + p**4 - 3*p**2 wrt p.
192*p
Suppose 0 = -d + 1. Let f = 3 - d. Find the third derivative of 5*u**2 - 3*u**2 - u**6 - 6*u**f wrt u.
-120*u**3
Suppose -82 = -5*v - 2*y, -4*y + 36 + 16 = 3*v. Let h be (-11)/(-4) + 4/v. Find the second derivative of 0*s**3 + s + s**2 - s**2 - h*s**3 wrt s.
-18*s
Let r(u) = u**2 + 0 - 9*u - 2 - 1 + 13. Let s be r(8). Find the second derivative of 4*k**5 - 3*k**5 + 3*k + s*k**5 - 5*k wrt k.
60*k**3
Let b(l) be the first derivative of l**6/6 + 4*l**3/3 + 10. Find the third derivative of b(h) wrt h.
60*h**2
Differentiate -22 + 19*y**4 + 62 - 29*y**4 + 11*y**4 wrt y.
4*y**3
Let b(q) = -3*q**2 + 6*q + 4. Let x(u) be the first derivative of -u**2/2 - 3. Let i(y) = -b(y) - 6*x(y). What is the first derivative of i(g) wrt g?
6*g
Let h(r) be the third derivative of 3*r**7/35 - 3*r**4/2 - 5*r**2 - 4*r. Find the second derivative of h(w) wrt w.
216*w**2
Let w be -2*(-2 + (-2 - -3)). Find the third derivative of 5*d**5 - 7*d**5 + d**2 + 2*d**w wrt d.
-120*d**2
Let n = 14 + -30. Let p be (18/8)/((-3)/n). What is the second derivative of 12 - p - 2*c + 3*c**5 wrt c?
60*c**3
Let s(k) = -15*k**4 + 13*k**2 + 4. Let p(g) = 7*g**4 - 6*g**2 - 2. Let m(v) = 13*p(v) + 6*s(v). Find the first derivative of m(f) wrt f.
4*f**3
Let a(j) be the second derivative of j**11/13860 - j**7/840 - j**4/12 + j. Let r(c) be the third derivative of a(c). Find the third derivative of r(d) wrt d.
480*d**3
Let n(l) = -l**3 - l**2 - l + 1. Let a(p) = 5*p**4 + 2*p**3 + 2*p**2 + 2*p + 3. Let t = -5 + 6. Let w(x) = t*a(x) + 2*n(x). Differentiate w(g) wrt g.
20*g**3
Let l = 138 - 688/5. Let k(u) be the first derivative of 0*u**4 + 2 - u**2 + 0*u**3 + 0*u - l*u**5. Find the second derivative of k(p) wrt p.
-24*p**2
Let a be 19/4 - (-12)/(-16). Find the third derivative of -i**4 + a*i**2 - 10*i**3 + 10*i**3 wrt i.
-24*i
Find the second derivative of -33*n + 7*n - 15*n + 24*n**3 wrt n.
144*n
Find the second derivative of -4*f**3 - 16 + 3 - 5*f**3 - 47*f**3 + 2*f wrt f.
-336*f
Let z(p) be the second derivative of -5*p**7/7 - p**4/12 + 32*p. Find the third derivative of z(f) wrt f.
-1800*f**2
Let i(s) be the first derivative of s**6 - 3*s**2/2 + 1. Find the second derivative of i(v) wrt v.
120*v**3
Let g(y) be the second derivative of 13*y**6/30 + 5*y**4/12 + 7*y. Find the third derivative of g(p) wrt p.
| {
"pile_set_name": "DM Mathematics"
} |
16/(-64)*12).
-1/3
What is the value of ((-32)/44)/(-4)*8910/162?
10
What is ((-2)/(-12))/((4453/(-1220))/73)?
-10/3
What is 1*(-14)/(-3)*(-112)/98*3?
-16
What is (-92)/(-1104)*84/25*(-4)/14?
-2/25
What is (-1)/(4/72)*-16*(-5)/80?
-18
((84/32)/21)/((-2)/(-4))
1/4
Calculate (18*1/198)/(4/22).
1/2
What is the value of (-19)/(-228)*-20*(-4)/(-90)*-3?
2/9
What is the value of ((-5)/15*15)/(-1)?
5
Calculate ((-1984)/(-7688))/(16/6).
3/31
What is ((-300)/(-126))/5*(-27)/(-15)?
6/7
Calculate 1*3*(792/(-27))/8.
-11
What is (48/36)/(17/(306/40))?
3/5
((-12)/72)/(7/714)
-17
What is the value of 14/(392/14)*28/(-4)*2?
-7
Evaluate (-2)/((-24)/44)*672/1120.
11/5
Evaluate 8/(-3)*(6/(-4))/(188/(-564)).
-12
What is the value of (7*13/65)/(7*(-6)/(-42))?
7/5
Calculate ((-168)/44)/(3*(-19)/418).
28
Calculate 21*((-275)/33)/25.
-7
Calculate 3*20/1260*1.
1/21
Evaluate (4/(-36))/(((-3)/(-36))/(5/10)).
-2/3
What is the value of (69*22/506)/12?
1/4
(1131/(-9))/(3393/(-783))
29
Calculate (2133/(-948))/(1/4).
-9
Evaluate (-14)/6*189/(-1764).
1/4
Evaluate (255/(-170))/(3/9).
-9/2
Calculate (420/(-1323))/((-62)/(-558)).
-20/7
Evaluate (3*(-1)/(-4))/(((-5673)/248)/61).
-2
Evaluate -42*((-80)/(-15))/16.
-14
What is (((-150)/(-12))/25)/((-3)/(-18))?
3
Calculate 14/(1*4*(-52)/(-208)).
14
What is 48/80*((-2)/(-24))/((-26)/260)?
-1/2
(10584/2205)/((-12)/(-15))
6
Evaluate (4/(5/(-3)*2))/((-324)/(-4050)).
-15
Calculate -4*23*(-22)/5060.
2/5
(36/144)/((-22)/(-24))
3/11
(-32)/(-70)*70*(-38)/(-1064)
8/7
50/(-1)*((-3168)/180)/44
20
((-2)/((-408)/9))/(18/(-144))
-6/17
(-500)/300*(-3)/(-5)*36
-36
(1*-1*1/(-1))/(648/54)
1/12
What is the value of ((-2)/(-9))/(10330/27891)?
3/5
Calculate ((3/82)/3)/((12308/272)/(-181)).
-2/41
(1/6*3)/(-1)*0/(-14)
0
What is (-2)/(3/(336/8)*4/4)?
-28
What is the value of (-1566)/1566*(-1)/(-1*3)?
-1/3
((-9)/7)/(38148/(-10472))
6/17
What is ((3/(-5))/(-3))/(547/1094)?
2/5
Evaluate ((1*-2)/(-4))/(598/(-3588)).
-3
Evaluate (-1*(-9)/3)/(13/((-195)/3)).
-15
What is ((-1)/(1/2))/((-10)/(-240)*-4)?
12
What is ((-28)/1995)/((-8)/(-14)*56/80)?
-2/57
Evaluate (-48)/252*(-18)/8.
3/7
What is the value of 4/6*15774/(-956)?
-11
(-48)/672*49*7/((-343)/(-12))
-6/7
Evaluate (13/(-78))/((-15)/18*2/(-5)).
-1/2
Calculate 99/66*(-12)/(-45)*-2*10.
-8
Evaluate (2/(-60)*5)/((-3)/126).
7
Calculate 1/(-56)*8*-7*13.
13
5*-1*22/((-34)/(-51)*-15)
11
Evaluate (569/(-1138))/(1/42).
-21
(-40)/(-110)*891/(-3078)
-2/19
Calculate 18/(-170)*(1/9)/((-82)/(-2460)).
-6/17
Calculate 4/(-6)*(-234)/(-1092).
-1/7
((2/(-1))/((-8)/3))/((-2)/24)
-9
Calculate (12/(-418))/(81/(-594)).
4/19
Evaluate (132/57)/(-22)*12/6.
-4/19
Calculate -12*4/8*(-3)/12*6.
9
Evaluate -1*3*41/(2829/46).
-2
What is the value of ((-100)/(-25))/((-162)/(9/(-1)))?
2/9
Evaluate (-1000)/(-3000)*(-4)/5*-6.
8/5
Evaluate (1/(5/(-4)))/(8/(-6))*5.
3
Evaluate ((-4)/112)/((-44)/462).
3/8
What is the value of ((-280)/(-840))/(17/(-3))?
-1/17
(2/(-1))/((-143)/(-39))
-6/11
What is the value of (140/(-15))/(((-64)/(-240))/(10/25))?
-14
Calculate ((-1)/(-38))/(107/(-428)).
-2/19
5/(-120)*-4*756/14
9
Calculate (-4)/(4/15)*(546/26)/(-63).
5
((-2)/12)/((-1)/(-2))*-1
1/3
Evaluate 2*7*(-12)/840.
-1/5
Calculate (20/(5/(-5)))/((63/(-7))/9).
20
Calculate (3/192*10)/((110/40)/11).
5/8
(9282/(-2652))/((-7)/4)
2
Calculate 4*6*(-6)/108*(-3)/7.
4/7
What is the value of ((39/(-18))/((-27)/(-81)))/((-3)/(-6))?
-13
((-100)/200*-3*14)/3
7
Calculate 308/110*50/35.
4
Evaluate (-2)/(594/108*(-2)/88*-4).
-4
What is the value of ((-2)/(-50)*20)/(10/(-525)*-3)?
14
What is the value of (29/(-29))/((-4)/20)?
5
Calculate (4/(-10))/((10/(-100))/(1/4)).
1
What is the value of -22*30/(-30030)*13?
2/7
Evaluate (4/(256/48))/(-5*6/120).
-3
What is the value of ((-152)/1368)/(1/2)?
-2/9
4/6*(-61)/(-427)
2/21
Evaluate ((-5)/(-10))/((-70)/(-56))*(-10)/2.
-2
(690/40)/(-23)*15/(-9)
5/4
Evaluate ((-3)/(6*4))/((-20)/360*-3).
-3/4
Evaluate ((-16)/(-2))/(-74*(-140)/16835).
13
Evaluate (-20)/(-60)*60/(-1).
-20
Evaluate (-18)/6*(16/15)/(28/(-70)).
8
What is ((-4)/(-24))/(22/(264/58))?
1/29
What is (6*(-35)/28)/(108/(-16))?
10/9
((-2)/24)/((464/(-16))/(-87))
-1/4
Calculate ((-22)/(22528/48))/((-48)/(-32)).
-1/32
Calculate (6/(-7))/((-1570)/(-2198)).
-6/5
Evaluate 10/12*(-258)/172.
-5/4
Evaluate 1/(-2*3/(-6))*2.
2
What is the value of (3/(-34))/(1048/(-2227))?
3/16
7*(2002/(-98))/(-13)
11
What is the value of ((-96)/(-16))/(-3*(-21)/(-27)*3)?
-6/7
What is (-16)/((176/(-33))/(-2))?
-6
What is the value of 66/(-1)*(20/88)/((-170)/408)?
36
Evaluate 51*((-1120)/(-32))/(-105).
-17
What is the value of ((-3321)/1476)/((-18)/(-4))?
-1/2
(-24)/2400*-25*(-112)/(-2)
14
Calculate ((-5)/12)/(4/(-14)*(-112)/64).
-5/6
(8/224)/((-3)/12)*(-7)/6
1/6
What is the value of (48/9)/(634/951)?
8
(-5)/(45/(-9))*1/((-14)/(-18))
9/7
(((-136)/40)/(-17))/(5/(-25))*-7
7
Evaluate 1/1*-4*(-11)/(-132).
-1/3
Calculate (2261/1938)/((-2)/(-2)*1/(-3)).
-7/2
Evaluate (-12)/(((-330)/(-110))/((-1)/(-1)*2)).
-8
What is ((-22)/(-8))/(9*(-50)/(-1800))?
11
Evaluate (-396)/(-7722)*2/(-2).
-2/39
What is the value of (-465)/310*(-1)/(-6)?
-1/4
What is the value of (-55)/50*144/132?
-6/5
Evaluate ((-112)/56)/(2/4)*5/(-2).
10
What is 11/2*(3072/88)/24?
8
What is -2*-2*225/(-405)*(-1)/20?
1/9
What is (75/(-9))/((-22)/990*125/10)?
30
Calculate (35/(-84))/((14/105)/((-8)/10)).
5/2
((-14)/98)/(-1*(-6)/(-84))*4
8
Evaluate ((-112)/((-1652)/59))/((-22)/6).
-12/11
Evaluate (-2336)/(-28032)*42/4.
7/8
What is (2*-1*1)/((-18)/3186*-59)?
-6
Evaluate (11/44)/((-12)/(-16)).
1/3
(-25)/15*(-912)/800*-10
-19
(-39)/15*155/(-93)*-1*3
-13
What is ((-12)/(-98))/((164/(-41))/(-28))?
6/7
Evaluate (1152/(-512))/((-3)/(-2))*(-44)/6.
11
What is the value of ((-2)/1)/(9/189)*(-16)/(-32)?
-21
What is ((-16)/(-24))/(9/((-4374)/(-18)))?
18
What is the value of (-1116)/(-4278)*1/(-3)?
-2/23
What is the value of (-1*(-4)/8)/(-13*17/(-3536))?
8
What is 27/(-243)*-1*12/3?
4/9
What is (-98)/(-98)*(8/2)/(-1)?
-4
Evaluate 9/(-180)*2*-8*(-3)/(-3).
4/5
Evaluate 35/(-30)*(-423)/(-94).
-21/4
Evaluate 800/(-30)*(-7)/(-525)*5.
-16/9
What is the value of 40/(-50)*(-12)/(-32)?
-3/10
What is the value of (18/((-414)/115))/((-1)/(-1))?
-5
What is (-221)/34*(-30)/(-45)?
-13/3
((-26)/10)/(5*3/75)
-13
What is the value of (-4)/(-2)*2/1*(-7)/(-70)?
2/5
Calculate ((-24)/(-52))/((-341)/403).
-6/11
What is 51*(-4)/(-68)*(-4)/(-9)*3?
4
What is the value of 400/4200*7/9?
2/27
What is (4/(-10))/((-45)/(-100))?
-8/9
Evaluate (12*(-2)/28)/((-44)/(-14)).
-3/11
((-5)/(-2))/(286/(-572))
-5
(20/49)/((-3902)/13657)
-10/7
What is the value of (-21)/(-98)*1*-4?
-6/7
Calculate 28/364*(-182)/(-84).
1/6
What is (-20)/(-80)*-2*26?
-13
What is (-375)/300*(-16)/710?
2/71
What is 27*(-2)/30*480/24?
-36
What is the value of (((-920)/598)/(-5))/(62/26)?
4/31
Calculate 11*-4*2/32*-1*1.
11/4
Calculate ((-4)/(-66))/((-2)/(-44)).
4/3
What is the value of (-8)/(-5)*160/(-192)?
-4/3
5/((-1)/((-11)/55*-15))
-15
What is (-792)/(-1155)*45/36?
6/7
Evaluate -16*54/1296*45/2.
-15
What is (64/(-72))/(-2)*-3*6?
-8
What is (1/(-5)*-1)/((-17)/(765/3))?
-3
Evaluate (-3)/(55/44*6/15).
-6
Evaluate (-3380)/52*(-10)/(-50).
-13
Calculate (117/(-52))/(2/8*23/(-23)).
9
1/((847/14)/(-11))
-2/11
Evaluate (-8)/(-564)*(-17)/(170/(-30)).
2/47
What is the value of ((-6)/(-12))/((-10)/(-30)*-9)?
-1/6
Evaluate (-81)/(-864)*176*-1*(-2)/(-3).
-11
What is the value of (-76)/(-5)*(-250)/(-200)?
19
Calculate ((-164)/369*3/2)/1.
-2/3
What is -1*((-2)/(-24))/((-39)/(-234))?
-1/2
What is the value of ((-24)/168)/(10/70)?
-1
((-10)/(-12))/((-1)/(-6))
5
Calculate (1/9)/(85/9945).
13
What is the value of (1/(-14))/(353/(-10590))?
15/7
((618946/201)/149)/((-2)/3)
-31
What is (9/16)/(141/188)*3/(-6)?
-3/8
Calculate (-43)/(-43)*4/(-6)*-15.
10
What is ((-29)/((-290)/20))/(16/24)?
3
What is -7*8/(-840)*138/23?
2/5
Calculate (11/2)/((714/(-252))/(-17)).
33
Calculate (405/(-243))/(((-42)/36)/(3/6)).
5/7
What is ((-6)/975*-13)/1?
2/25
(-20)/(((390/(-9))/(-26))/((-15)/(-9)))
-20
Calculate ((-19)/76)/(5/(-4)).
1/5
What is ((-6)/((-648)/(-10)))/(75/(-45))?
1/18
25/(-10)*(-760)/(-100)*1
-19
What is ((2/75)/(2/6))/((-8)/(-40))?
2/5
(72/336)/((-60)/(-14))
1/20
What is (-8)/7*(-136521)/(-7092)?
-22
Evaluate (-28)/(-50)*(270/(-432))/(4/16).
-7/5
Evaluate (-3 | {
"pile_set_name": "DM Mathematics"
} |
s g*q**2 + m*q + w and give g.
18
Rearrange -12*a - 4*a - a to u*a + v and give u.
-17
Rearrange -c**4 - 17*c**3 - 4 + 3*c**2 + 46*c**3 - 13*c**3 - 17*c**3 + 2*c to the form i*c**4 + o*c**2 + b + x*c + r*c**3 and give x.
2
Rearrange (-3 + 0 + 2)*(-h - 4*h + 3*h) - h - 2*h + 4*h - 4*h + h + h + (-3*h + 4*h + h)*(-26 + 80 - 34) to the form i*h + q and give i.
41
Rearrange 6*w**2 + 2*w - 2*w - 5*w**2 to the form q + j*w + x*w**2 and give x.
1
Express -1 - l**2 - 2 + 2*l**2 + 8 - l**3 in the form f*l + y*l**2 + v*l**3 + h and give h.
5
Rearrange 2*q**3 - q**2 + 2*q**4 + q - 5*q**2 + 1 + 6*q**2 to the form k*q**2 + y*q**3 + g + c*q + a*q**4 and give g.
1
Express 7*a - 7*a + 2*a**2 - 2*a as h*a + u + q*a**2 and give q.
2
Rearrange (4*k - 2*k - 3*k)*(0 + 0 + 1)*(2 - 1 + 1) to the form s*k + m and give s.
-2
Express -l + l + 2*l + 3*l in the form h + q*l and give q.
5
Rearrange -25 + 25 - 8*m**2 to the form b + f*m + s*m**2 and give s.
-8
Rearrange 2*j**2 + 88 - 88 + 4*j to t + v*j**2 + m*j and give v.
2
Express (-z - 2*z + 5*z)*(-3*z + 1 - 1) + (-5*z + 3*z + z)*(4 + 6*z - 4) in the form c*z + n*z**2 + x and give n.
-12
Express (-10 + 17 + 18 + t**2)*(-t**2 + t - t) in the form d*t**4 + i*t**2 + k + h*t**3 + s*t and give i.
-25
Express (-45 + 45 + 2*y)*(0 - 2*y + 0) + 2*y**2 - 2 + 2 in the form r*y**2 + m*y + q and give r.
-2
Express -107 + 31*l**2 + 109 + 27*l**2 in the form u + p*l**2 + s*l and give p.
58
Rearrange (m**3 - 5*m + 5*m)*(3 + m - 3) + m**2 - m**2 - 2*m**4 to u + f*m**2 + k*m + w*m**3 + c*m**4 and give c.
-1
Express (8 + 7 - 4)*(2 + 1 - 4)*(4*v + 0*v - 2*v) as n*v + a and give n.
-22
Rearrange -6 + 8 - 3*i - 11 + 2*i**2 to d*i**2 + g + b*i and give g.
-9
Rearrange 699 - 699 + 13*m to the form h*m + x and give h.
13
Express (u - 17*u - 11*u)*(4 + 0 - 2) in the form y*u + j and give y.
-54
Rearrange 5 - 17*c**2 + 13*c + 22*c - 35*c to the form w*c**2 + g + a*c and give w.
-17
Rearrange 4*t**3 - 4 - 3*t**3 + 1 + (-2*t + t - 3 + 5)*(-2*t**2 + t**2 + 0*t**2) to f + l*t + a*t**3 + n*t**2 and give f.
-3
Express 31*a + 3 + 10 - 13 in the form i + f*a and give i.
0
Express (2*a**2 + 3*a - 3*a)*(20*a - 84 + 84) in the form z*a**3 + t*a + q + c*a**2 and give z.
40
Express 3 - 3 - 2*l**2 + (-4 + 4 - 6*l**2)*(0 + 0 - 2) in the form n*l + m*l**2 + a and give m.
10
Rearrange -3*p + 13*p**3 - 8 + 4*p - 14*p**3 to k*p + y*p**2 + b + o*p**3 and give b.
-8
Rearrange 0*w**3 + 2*w**2 + w**3 - 2*w**3 to the form k + i*w**3 + p*w + v*w**2 and give v.
2
Express 43 - 2*k**3 + 3*k**3 - 24 - 64 as o + v*k + b*k**2 + y*k**3 and give o.
-45
Rearrange -24*p**2 - 29*p + p**3 + 24*p**2 to i*p + k + r*p**3 + g*p**2 and give r.
1
Express -o + 8*o**2 - 6*o**2 + o - 52 in the form c*o + g + z*o**2 and give g.
-52
Express (-2 + 2 + 2)*(0 + 0 - 2)*((-2*c + 4*c + 0*c)*(2 + 2 - 3) - 2 - c + 2) in the form l + x*c and give x.
-4
Rearrange 439*a - 439*a + 8*a**2 to y*a**2 + s + q*a and give q.
0
Express -4*h**3 + 6*h**3 + 2 - h**4 - 13*h**4 + 6*h**4 in the form w + p*h**3 + c*h + t*h**2 + u*h**4 and give w.
2
Rearrange (-3 + 0 + 2)*(4*q**3 + 2*q**3 - 4*q**3) + (-3*q + 2*q + 5*q)*(4 - 2*q - 4)*(2*q + 0*q + 0*q) to j + c*q + p*q**3 + i*q**2 and give p.
-18
Rearrange (35 - 2 - 100)*(u - u - u)*(4 - 1 - 1) to t + p*u and give p.
134
Express (4*w**3 - 3 + 3)*(-1 - 3*w - 2 + 0*w) in the form o + c*w**2 + b*w**4 + l*w**3 + h*w and give o.
0
Express 1 - 1 - w + 2*w - 3*w + 6*w + (2*w - 2*w - w)*(-2 + 0 + 4) - 3*w + 4*w - 2*w + 2*w + 0 + 0 - w + 0*w - w in the form p + m*w and give m.
1
Express 3 + 8*r**2 - 5 + 36*r**4 + 4*r**2 + 2*r - 35*r**4 as x*r + o + d*r**3 + q*r**2 + i*r**4 and give o.
-2
Rearrange -2*q + 3*q**2 + 62*q**3 - 25*q**3 + q - 35*q**3 to p*q + h + n*q**3 + c*q**2 and give c.
3
Rearrange u**2 - 51*u - 3 + 0*u**2 + 0 + 50*u to the form s*u + t*u**2 + p and give p.
-3
Express -651*n**2 + 651*n**2 - 2*n**3 + 1 - 2*n in the form c*n + p*n**2 + t*n**3 + y and give c.
-2
Rearrange (-2 + 2 - p + (-4*p + 4*p + 2*p)*(-1 + 0 + 0) - p + 1 - 1 - p - p + 0*p)*(-1 - 3 + 2)*(-4 + 7 - 5) to the form a + f*p and give f.
-24
Express (26 - 23 - 19 + 2 + 1 - 5 + (4 + 2 - 4)*(3 - 5 + 1))*(-6*p**4 + 3*p**4 + p**4) in the form l + a*p + q*p**3 + d*p**2 + x*p**4 and give l.
0
Express 2*d**2 - 6*d**3 - 5*d**2 + 2*d**2 + 4*d**3 + 2*d**4 as u*d**4 + r*d**2 + t*d + g*d**3 + c and give u.
2
Rearrange (-2*d + d + 2*d + (-5*d - 6*d - 5*d)*(-6 + 2 + 2) - 4*d + d + 2*d)*(2 + 4 - 4) to g*d + o and give g.
64
Rearrange 4 + 36*j**3 - 34*j**3 + 10*j - 2*j to the form f + b*j**2 + y*j**3 + n*j and give f.
4
Express (-1 + 3 - k - 3)*(-2*k - 4*k + 4*k) + 5*k**2 - k**2 - 3*k**2 in the form v*k + c + r*k**2 and give r.
3
Express 2*h**2 + 0*h**2 - 4*h**2 + (-4*h**2 + 4*h**2 + 2*h**2)*(-3 + 0 + 1) - 18 + 18 - 7*h**2 in the form m*h + v*h**2 + u and give v.
-13
Rearrange 0*o**2 - 3*o**2 + 7*o**3 - 6*o**3 - 3*o**2 to the form r*o**3 + h*o + s + k*o**2 and give k.
-6
Express 262 - 262 + 2*c + c**2 as f*c**2 + q*c + m and give f.
1
Rearrange -5*a**2 + 4*a**2 - 189*a - 4*a to the form m*a + w*a**2 + c and give w.
-1
Rearrange -3*u - u**4 + 3*u - u**4 + 1 - 1 + (-3*u**3 - 19*u**3 - 11*u**3)*(-2*u - u + u) to n*u**4 + f*u**2 + h + b*u + v*u**3 and give n.
64
Express 3*z**2 + z**2 - z**3 - 2*z**2 + 16*z - 11*z as x*z**2 + g + i*z + b*z**3 and give x.
2
Express (-4*a + 4*a + 2*a)*(6*a**3 - a**3 - 4*a**3 + (-6*a**3 - 4*a**3 + 14*a**3)*(1 - 1 + 1)) as b + q*a + c*a**2 + s*a**4 + z*a**3 and give s.
10
Rearrange 753 - 753 + 32*a + 87*a to the form y + l*a and give l.
119
Express 3*r - 1 - 2*r**4 - 3*r**4 - 2*r in the form v*r**2 + i*r + c*r**3 + g*r**4 + a and give g.
-5
Rearrange 3*s - 30*s**2 - 4*s + 32*s**2 + 18 to m + t*s + q*s**2 and give m.
18
Express -9*v**2 + 4*v + 11*v**2 - 9 + 6 as h*v + a + d*v**2 and give d.
2
Express (-w - w**2 + w)*(1 + 8 + 4) in the form g*w + b + k*w**2 and give k.
-13
Express 8*p**2 - 3*p**2 + 2 + 4*p**4 - p**3 + 138*p - 138*p as a*p**3 + k*p + n*p**4 + q + j*p**2 and give q.
2
Rearrange -8*w**4 + 7*w**4 - 2*w**3 + w**3 + 5 - 4 to the form k + c*w**4 + v*w**2 + j*w**3 + n*w and give k.
1
Rearrange (2*y + 8*y - 4*y)*(3 + 1 - 1)*(-1 + 0 + 2 + (-4 + 1 + 2)*(-2 + 2 + 2) - 1 + 2 + 1) to the form z*y + c and give z.
18
Rearrange (-2*m**2 + 5*m**2 - 5*m**2)*(3 + 0 - 2) - m**2 - m**2 + 0*m**2 + 5*m**2 - m + 17 - 17 to the form v*m + s*m**2 + p and give v.
-1
Express (-5 + 3 - 1)*(7*o - 2*o**3 - 7*o) in the form d*o**2 + i + j*o**3 + v*o and give j.
6
Rearrange -11*l + 13*l**3 + 2 + 14*l - 3*l to v*l + p*l**2 + a + b*l**3 and give a.
2
Express (-2 + 0 + 14)*(-3*a**2 + 0*a**2 - 5*a**2)*((1 - 4 + 2)*(-6*a + a + 3*a) + a + 3 - 3 + 0*a - 2*a + a) as b + t*a**2 + v*a**3 + c*a and give b.
0
Express (28 - 41 - 115)*(-2*d**3 + 2 - 2) as r*d**3 + u*d + x + g*d**2 and give r.
256
Rearrange 2*v - 2*v + 26*v**2 to the form s*v + y + g*v**2 and give y.
0
Rearrange 4 + 26*z**3 - 24*z**3 - z**2 + 3*z**4 - 2 to the form s + b*z + v*z**3 + l*z**4 + d*z**2 and give d.
-1
Rearrange (-86 - 56*g - 95 + 183)*(-3*g**2 + g - g) to the form o + i*g**2 + p*g**3 + w*g and give p.
168
Rearrange (-14*a**2 + 63*a - 63*a)*(3 + 2*a - a - 3*a) to the form y*a**3 + l*a + o*a**2 + f and give y.
28
Express (-4*d + 8*d + 3*d)*(4*d**3 - d**3 - d**3) + (d + d + 0*d)*(-1 - d**3 + 1) in the form o*d**4 + v + k*d**2 + i*d**3 + q*d and give o.
12
Express 148 - 148 - 27*s**4 + 2*s**4 + s**2 - s**2 + (-s**2 - 4*s + 4*s)*(-2*s**2 + s**2 + 0*s**2) in the form a*s**4 + u*s**2 + g + x*s + n*s**3 and give a.
-24
Express 5*o**4 + 0*o**2 - o**2 + o**4 - 3 - 2*o**4 as x + t*o**3 + i*o + w*o**4 + j*o**2 and give j.
-1
Express (q + 4 - 4)*(-3*q + 2*q + 2*q) + (3 + 1 - 2)*(-7*q**2 + 15*q**2 - 7*q**2) as t*q + n + l*q**2 and give l.
3
Rearrange (-f + 2*f - 3*f + (1 - 3 + 4)*(-9*f + 10*f + 9*f))*(-1 + 0 + 3) to the form v + s*f and give v.
0
Rearrange 24*b + b**2 - 9*b**2 + 5*b**2 + (-2*b - 1 + 1)*(2*b - 4*b + 3*b) to c + h*b**2 + s*b and give h.
-5
Express -110 - 3*v + 110 in the form y + q*v and give q.
-3
Express ((1 - 2 + 2)*(-y + 0 + 0) + 5*y - 4*y + y + 2 - 2*y + 2 - 2)*(0 - 5 + 1 + (-5 + 3 + 8)*(9 - 2 - 3)) in the form h*y + u and give u.
40
Rearrange -g - 2*g - g - g**3 + g + 2 to the form x + j*g**3 + y*g + q*g**2 and give y.
-3
Rearrange (f + f | {
"pile_set_name": "DM Mathematics"
} |
117*m**2 + 972*m.
m*(m + 9)*(m + 108)
Find d, given that -d**5 - 1245*d**4 - 390607*d**3 - 1930683*d**2 - 2694520*d - 1153200 = 0.
-620, -3, -1
Find q such that 10*q**4/3 + 19135*q**3/3 - 28750*q**2 + 115055*q/3 - 47950/3 = 0.
-1918, 1, 5/2
Factor -q**2/2 + 659*q/2 - 329.
-(q - 658)*(q - 1)/2
Factor 3*k**3/5 - 576*k**2/5 + 26028*k/5 + 22704.
3*(k - 110)*(k - 86)*(k + 4)/5
Solve -2*x**4/7 + 5136*x**3/7 - 629520*x**2 + 181703872*x - 1067718624 = 0.
6, 854
What is o in 9*o**5 - 75*o**4 + 123*o**3 + 147*o**2 - 60*o = 0?
-1, 0, 1/3, 4, 5
Let 3*f**4/4 - 153*f**3 + 30255*f**2/4 - 14823*f/2 = 0. What is f?
0, 1, 81, 122
What is l in 3*l**2 - 636*l + 21801 = 0?
43, 169
Find m such that -5*m**4 - 20050*m**3 - 20160185*m**2 - 120420300*m - 180360180 = 0.
-2002, -3
Find j, given that 3*j**2 - 78144*j + 508873728 = 0.
13024
Factor -z**3 + 1368*z**2 + 30459*z + 168190.
-(z - 1390)*(z + 11)**2
Factor 4*a**4 + 8976*a**3 + 5053456*a**2 + 20106240*a + 20070400.
4*(a + 2)**2*(a + 1120)**2
Determine j so that j**2 - 224824*j + 12636457744 = 0.
112412
Solve 3*f**5 - 74*f**4 + 494*f**3 - 652*f**2 + 103*f + 126 = 0 for f.
-1/3, 1, 9, 14
Factor -2*f**3/9 + 131362*f**2/3 - 6470924960*f/3 - 19413168968/9.
-2*(f - 98522)**2*(f + 1)/9
Let -3*u**2/2 - 1749*u + 53145/2 = 0. What is u?
-1181, 15
Factor -5*n**2 + 93720*n + 187460.
-5*(n - 18746)*(n + 2)
Factor 4*h**2/7 - 13584*h/7 + 1940.
4*(h - 3395)*(h - 1)/7
Find b such that 58038245*b**4/4 + 2518791693*b**3/4 + 497650279*b**2/2 - 292785*b + 86 = 0.
-43, -2/5, 2/3407
Factor -471*a**4 + 1581*a**3 - 1917*a**2 + 975*a - 168.
-3*(a - 1)**3*(157*a - 56)
Let -4*f**5 - 358*f**4/3 - 704*f**3 - 358*f**2/3 + 4440*f - 2200/3 = 0. Calculate f.
-22, -5, 1/6, 2
Let -c**4/3 - 17363*c**3/6 - 6279980*c**2 + 6281427*c/2 = 0. Calculate c.
-4341, 0, 1/2
Let -o**2/5 - 4183*o/5 - 70822/5 = 0. Calculate o.
-4166, -17
Let -2*n**4/11 - 288*n**3 - 1238588*n**2/11 + 1147680*n - 31760450/11 = 0. Calculate n.
-797, 5
Let 45*b**4/2 + 2307*b**3/2 + 306*b**2 = 0. Calculate b.
-51, -4/15, 0
Factor 229*p**3 + 4120*p**2 - 36*p.
p*(p + 18)*(229*p - 2)
What is y in -12*y**4/5 - 182*y**3/5 - 866*y**2/5 - 1528*y/5 - 832/5 = 0?
-8, -4, -13/6, -1
Determine h so that h**4/2 + 128*h**3 + 5657*h**2/2 + 10267*h - 13224 = 0.
-232, -19, -6, 1
What is i in -2*i**5/5 + 684*i**4/5 - 59154*i**3/5 + 22712*i**2 + 34680*i = 0?
-1, 0, 3, 170
Find x such that 3*x**2 - 5484*x - 167220 = 0.
-30, 1858
Factor -39*o**2/5 - 15441*o/5 + 3096.
-3*(o - 1)*(13*o + 5160)/5
Find k, given that -2*k**4/3 - 1592*k**3 - 2827292*k**2/3 + 9544040*k - 71880050/3 = 0.
-1199, 5
Factor 2*f**2/9 + 492034*f/9 + 492028/3.
2*(f + 3)*(f + 246014)/9
Find r, given that -r**3 + 116*r**2/3 - 76*r/3 = 0.
0, 2/3, 38
Suppose 3*y**3/4 - 123*y**2 + 4395*y/4 + 17325/2 = 0. Calculate y.
-5, 15, 154
Let -273*s**3/4 + 453*s**2 + 687*s/4 + 21/2 = 0. Calculate s.
-2/7, -1/13, 7
Let 5*p**4/2 + 35734*p**3 - 142951*p**2/2 + 35739*p = 0. What is p?
-71478/5, 0, 1
Find l such that 1472*l**3 - 48580*l**2 + 47236*l - 128 = 0.
1/368, 1, 32
Let -f**4 + 8630*f**3 - 34499*f**2 - 43130*f = 0. What is f?
-1, 0, 5, 8626
Factor 4*d**4 - 27320*d**3 + 46648900*d**2.
4*d**2*(d - 3415)**2
Factor 3*k**2/4 + 10929*k/4 + 526167.
3*(k + 204)*(k + 3439)/4
Determine m so that -3*m**5/5 - 4428*m**4/5 - 1638354*m**3/5 - 3263436*m**2/5 - 1629507*m/5 = 0.
-737, -1, 0
Factor 106*y**3 - 438*y**2 - 64*y + 480.
2*(y - 4)*(y + 1)*(53*y - 60)
Factor -d**4 - 201*d**3 - 2988*d**2 - 5180*d.
-d*(d + 2)*(d + 14)*(d + 185)
Solve -2*b**5/7 + 340*b**4/7 + 50*b**3/7 - 8500*b**2/7 = 0.
-5, 0, 5, 170
Factor -3*c**3/7 - 18*c**2/7 + 1935*c/7 - 1914/7.
-3*(c - 22)*(c - 1)*(c + 29)/7
Let 4*c**5/11 + 98*c**4/11 + 624*c**3/11 + 1330*c**2/11 + 800*c/11 = 0. What is c?
-16, -5, -5/2, -1, 0
Solve o**2/3 - 1313*o/3 + 43380 = 0 for o.
108, 1205
Let 15*o**2 + 6249*o/2 + 6219/2 = 0. What is o?
-2073/10, -1
Factor -14*j**3/5 + 197388*j**2 + 281984*j/5.
-2*j*(j - 70496)*(7*j + 2)/5
Determine u, given that -28*u**4 + 128*u**3 - 92*u**2 - 152*u + 96 = 0.
-1, 4/7, 2, 3
What is h in -h**3/4 - 126*h**2 = 0?
-504, 0
Factor -4*g**3 - 53196*g**2 - 176623776*g + 1593925776.
-4*(g - 9)*(g + 6654)**2
Find t, given that t**3/2 + 719*t**2 + 259198*t + 515524 = 0.
-718, -2
Let -3*z**2/7 - 1626*z/7 - 128448/7 = 0. Calculate z.
-446, -96
Let 4*w**3 - 2416*w**2 + 415888*w - 14838528 = 0. What is w?
48, 278
Determine j, given that j**4/5 - 138*j**3/5 + 4139*j**2/5 + 4278*j/5 = 0.
-1, 0, 46, 93
What is t in -5*t**2 + 43790*t + 306775 = 0?
-7, 8765
Factor -5*n**4 + 1790*n**3 - 193500*n**2 + 3494610*n + 311269905.
-5*(n - 129)**3*(n + 29)
Solve -h**4 - 1362*h**3 - 421681*h**2 + 29321580*h + 29741900 = 0.
-710, -1, 59
Factor -o**2 - 1505*o - 3006.
-(o + 2)*(o + 1503)
Suppose 4*d**2/5 + 56512*d/5 + 33900 = 0. Calculate d.
-14125, -3
Factor -4*s**3 + 17664*s**2 + 247884*s + 868280.
-4*(s - 4430)*(s + 7)**2
Factor 3*a**4 - 417*a**3 - 12162*a**2 - 22632*a.
3*a*(a - 164)*(a + 2)*(a + 23)
Determine p so that p**3 - 150*p**2 + 2039*p - 1890 = 0.
1, 14, 135
Find x such that -2*x**4 - 2484*x**3 - 14818*x**2 + 17304*x = 0.
-1236, -7, 0, 1
Factor -4*f**2 - 1284*f - 12440.
-4*(f + 10)*(f + 311)
Factor -2*k**4/9 - 20*k**3/3 - 128*k**2/3 + 1024*k/9.
-2*k*(k - 2)*(k + 16)**2/9
Suppose 2*w**3/7 - 104*w**2/7 + 154*w + 1184/7 = 0. Calculate w.
-1, 16, 37
Let 2*f**5/13 + 138*f**4/13 + 1438*f**3/13 - 1818*f**2/13 - 45360*f/13 = 0. What is f?
-56, -9, 0, 5
Find i such that 348*i**3 + 1816*i**2 + 1196*i - 3360 = 0.
-280/87, -3, 1
Solve -5*k**2 - 345180*k - 5957461620 = 0.
-34518
Factor 2*p**5 - 9178*p**4 + 10534048*p**3 - 10524872*p**2.
2*p**2*(p - 2294)**2*(p - 1)
Suppose 2*z**4/11 + 10*z**3/11 - 1094*z**2/11 - 10*z/11 + 1092/11 = 0. What is z?
-26, -1, 1, 21
Let -332*d**4/5 + 1654*d**3/5 + 362*d**2/5 - 1654*d/5 - 6 = 0. What is d?
-1, -3/166, 1, 5
Let 3*f**2/5 + 5358*f/5 - 5361/5 = 0. Calculate f.
-1787, 1
Suppose 12*o**5/5 + 69*o**4/5 + 6*o**3 - 84*o**2/5 - 42*o/5 + 3 = 0. Calculate o.
-5, -1, 1/4, 1
Find v such that -3*v**2 - 3739*v/2 - 623/2 = 0.
-623, -1/6
Find s such that 9*s**4 - 421*s**3 - 15142*s**2 + 711040*s + 158752 = 0.
-41, -2/9, 44
Factor 2*f**3 + 3586*f**2 - 2*f - 3586.
2*(f - 1)*(f + 1)*(f + 1793)
What is b in -3*b**2/2 - 41541*b - 575218227/2 = 0?
-13847
Find q, given that 3*q**5/4 + 49*q**4/4 - 191*q**3/2 - 41*q**2 + 66*q = 0.
-22, -1, 0, 2/3, 6
What is i in -2*i**3/3 - 114632*i**2 + 229266*i - 343900/3 = 0?
-171950, 1
Factor -2*w**2/17 + 556*w/17 + 34320/17.
-2*(w - 330)*(w + 52)/17
What is w in -4*w**5/5 - 3856*w**4/5 - 15372*w**3/5 - 2304*w**2 = 0?
-960, -3, -1, 0
Let -3*z**2 + 2535*z - 2532 = 0. What is z?
1, 844
Factor -2*l**5 + 612*l**4 - 43658*l**3 - 483480*l**2 - 1248200*l.
-2*l*(l - 158)**2*(l + 5)**2
Suppose 2*y**3/5 - 2742*y**2 = 0. What is y?
0, 6855
Factor -2*c**2/7 - 4406*c/7 - 13200/7.
-2*(c + 3)*(c + 2200)/7
What is u in 36*u**5/5 + 192*u**4/5 - 4187*u**3/5 + 2621*u**2/5 + 1226*u/5 + 112/5 = 0?
-14, -1/6, 1, 8
Suppose 3*u**4 - 4212*u**3 + 1474167*u**2 + 2998998*u - 11861016 = 0. Calculate u.
-4, 2, 703
Determine u so that -2*u**2/3 - 151904*u/9 - 354410/9 = 0.
-25315, -7/3
Determine d, given that 4*d**2 - 3080528*d + 593103297424 = 0.
385066
Determine t so that t**4/2 - 605*t**3/2 + 58167*t**2 - 3473766*t + 6717276 = 0.
2, 111, 246
Let -5*l**3 + 79945*l**2 - 239790*l = 0. What is l?
0, 3, 15986
Let -34476*n**5/5 - 552136*n**4/5 + 115692*n**3 + 3976*n**2 - 11184*n/5 - 544/5 = 0. What is n?
-17, -2/17, -2/39, 2/13, 1
Factor -2*x**3/7 + 27204*x**2/7 - 3886*x.
-2*x*(x - 13601)*(x - 1)/7
Factor 5*u**2/3 - 342955*u/3 - 1029000.
5*(u - 68600)*(u + 9)/3
Find h, given that -4*h**3 - 29068*h**2 + 2054084*h - 2025012 = 0.
-7337, 1, 69
Suppose -b**4/5 + 846*b**3/5 - 8367*b**2/5 + 5834*b/5 + 15048/5 = 0. Calculate b.
-1, 2, 9, 836
Find t such that -2*t**2 + 146*t - 1904 = 0.
17, 56
Find a, given that a**5/8 - 151*a**4/8 + 435*a**3/8 + 1355*a**2/8 - 427*a + 222 = 0.
-3, 1, 4, 148
Determine b so that 20*b**2 + 229115*b - 57280 = 0.
-11456, 1/4
Suppose 2*j**3/9 - 328*j**2/9 + 17864*j/9 - 107648/3 = 0. What is j?
48, 58
Suppose -4*k**2 + 7796*k + 31248 = 0. Calculate k.
-4, 1953
Determine d so that 6*d**3 - 226*d**2 + 748*d = 0.
0, 11/3, 34
Suppose c**3 - 1440*c**2 + 5748*c - 5744 = 0. What is c? | {
"pile_set_name": "DM Mathematics"
} |
Let i = -11 + 11. Is i bigger than 14?
False
Let z(r) = -6*r**2 + 2*r - 3*r + 3 - 2. Let u be z(1). Let c = -8 - u. Is -2 less than or equal to c?
True
Let n = -0.044 - 0.056. Is 0.6 greater than n?
True
Let k(a) = a**3 + 4*a**2 - 7*a - 12. Suppose 21 = -4*w + 1. Let u be k(w). Is u > -1?
False
Let g = -15/2 + 47/6. Is g greater than 19?
False
Suppose -n = -6*n. Let x = 51 + -49. Suppose 0 = -t + x*p + 1 + 8, 5*t - 5*p - 20 = n. Are t and -1/7 unequal?
True
Suppose 2*j = 3*z - 49, -2*j = -5*z + 2*j + 85. Suppose 0 = -5*d + 7 + z. Is d equal to 4?
True
Suppose 2*x - 5*o + 9 = 0, -2*x - 2*o = 2*o. Let n be (x - (-36)/21)*-7. Suppose -7 = 2*f - 3*a - 22, -n*f - a - 5 = 0. Which is smaller: -1 or f?
-1
Let h(d) = d**2 + 8*d + 2. Let g be h(-7). Which is bigger: -6 or g?
g
Let q = -2.3 - -3.3. Which is greater: -1.2 or q?
q
Let t be ((-16)/(-18))/4 - (-2)/(-9). Which is bigger: t or 4/37?
4/37
Let x = -0.3 - 15.7. Let t = x - -15.82. Let y = 0.02 - t. Which is greater: y or 0.1?
y
Let l = -0.17 - 5.83. Let i = 5.03 + -0.03. Let v = l + i. Is v less than -2?
False
Let v = -1 + 1. Let o = 2/27 - -16/27. Which is smaller: o or v?
v
Suppose 2*c - 10 = -0*c. Suppose 0*z = c*u - 2*z + 8, 2*u = 4*z. Is -3/4 < u?
False
Let s = 323/7 + -46. Which is smaller: s or 3?
s
Let i = 0 + -2. Let l = -2 - i. Suppose c + 0*c + 1 = l. Is 0 at most c?
False
Let z be 1*(-2 + 1/1). Let x = 1 - -5. Let u = -5.9 + x. Which is greater: z or u?
u
Suppose 0*o = o + 4. Let m be (o/27)/(2/3). Let r be 7 + (-6 - (0 - -1)). Which is smaller: m or r?
m
Let g(l) = 3*l - 10. Let y be g(5). Let s = y - 8. Which is bigger: -9/4 or s?
-9/4
Let b(v) = -51*v - 2. Let c(a) = -26*a - 1. Let o(t) = 3*b(t) - 5*c(t). Let d be o(-1). Suppose 3*x - d = x. Which is smaller: -0.1 or x?
-0.1
Suppose 0 = x + 6 - 3. Let o be 2 + x + (-76)/(-12). Which is greater: 6 or o?
6
Let n = 986 + -18738/19. Which is bigger: 1 or n?
1
Let y be (-3 - -12) + -4 + 5 + 2. Which is smaller: -1 or y?
-1
Let r(o) = 7*o + 21. Let u be r(-7). Which is bigger: -27 or u?
-27
Let v(p) = -2*p. Let c(u) = 5*u - 1. Let t(i) = -3*c(i) - 7*v(i). Let s be t(3). Let j be ((-6)/(-20))/((-9)/(-5)). Is s <= j?
True
Let w(b) = -2*b**2 - 24*b - 4. Let c be w(-12). Is -27/5 less than or equal to c?
True
Let a = 0.19 - 0.39. Is a smaller than 1?
True
Suppose 0*k - 3*k = -3. Let s = 6 - 5. Suppose -k = -2*f + s. Which is smaller: 3/2 or f?
f
Suppose -4 = 3*x + v - 10, 10 = -5*x + 5*v. Let m(w) = 3*w + 1. Let u be m(x). Suppose -u*f = -0*f. Which is greater: -2/11 or f?
f
Let i = 0.53 + -0.6. Let d = -0.07 - i. Is 0 smaller than d?
False
Let i = -14 + 16. Let x(d) = -d**3 + 3*d**2 + 2*d - 3. Let c be x(2). Suppose i*a = c*a. Are -2/17 and a nonequal?
True
Let q(b) = -4*b**2 + 50*b**2 - 2*b - 1 - 4*b + 4*b. Let c be q(2). Let y = c + -1255/7. Is 0 equal to y?
False
Suppose -7*o + 2*o = -100. Let w be (-6)/o*(-4)/6. Let d = 5 + -6. Which is bigger: w or d?
w
Let v = 26 + -26.9. Which is bigger: v or 0?
0
Let c = -12 - -10. Let n = c + -3. Let q = -2 - -3. Is n not equal to q?
True
Let k(a) = 7*a - 8. Let s be k(-15). Let v = s - -793/7. Is v < 1?
True
Suppose 0 = -5*o + 2*q - 102, 4*o - q = -0*q - 84. Which is greater: o or -23?
o
Let l = -27 - -25. Is -16/7 less than l?
True
Let y(o) = -o + 4. Let f be y(8). Let d be 4*(-6)/(-8) + -7. Is d bigger than f?
False
Let v be (-1)/5 + 30/25. Suppose -2*o - 3*f - 3 = 0, -3 + 1 = 5*o + 2*f. Does o = v?
False
Let v be 0 + 0 + (-76)/(-10). Let c = 124/15 - v. Suppose 2*l - 1 = 1. Is c greater than l?
False
Let f(k) = k + 1. Let p be f(1). Suppose -p*h = h + 3. Is h at most 1/4?
True
Suppose -3*r + 45 + 3 = 0. Is r greater than or equal to 17?
False
Let k = 2 + -1. Let r(y) = 4*y**3 + y**2 - 2*y + 1. Let w be r(k). Is w not equal to 4?
False
Let g = 66 - 44. Suppose -3*w = 2*a + w - 28, g = 3*a + w. Let s = a - 3. Which is bigger: s or 1?
s
Let b = -21 + 30. Suppose r = 2*r + b. Which is greater: r or -8?
-8
Let t = 5 - 5. Let c = t - -8.2. Let s = 8 - c. Which is greater: s or 2?
2
Let t(r) = r**3 - 7*r**2 + 6*r. Let h be t(6). Let n(k) = -5*k**2 + 1 + k**2 + 3*k**2 - k. Let p be n(h). Is p greater than -2/5?
True
Let p be 820/(-24) - (-1)/6. Let o = p - -205/6. Are 0 and o non-equal?
True
Let z = 3.8 - 0.8. Let s(x) = -x**3 + 10*x**2 + 12*x - 14. Let y be s(11). Let j = 3 + y. Is j at least as big as z?
False
Suppose 0 = 3*n + 1 + 5. Let c be (-2 + 4)/(n/3). Let r = 2 + c. Is -2/7 < r?
False
Let x(s) = s - 4. Let a be x(7). Let d be (-4)/(-2) + (2 - a). Which is smaller: 0 or d?
0
Let m = 7 + -6. Let b = m + 0. Let n = 1 - 2. Is b equal to n?
False
Let t = 61 - 303/5. Let n = -0.7 - -0.75. Let z = 1.05 - n. Is z at most as big as t?
False
Let d = 0 - -2. Let u be 6/(-4) - 42/(-12). Is u > d?
False
Let p = -0.12 + 4.82. Let t = -5 + p. Which is bigger: t or 0.2?
0.2
Let o = 10 - 15. Let b be o/10 + (-2)/(-16). Which is greater: b or 0?
0
Let i = -1195/19 - -63. Is i bigger than 1?
False
Suppose -2*q + c - 79 = -0*c, 0 = -q - 2*c - 47. Do q and -40 have different values?
True
Let c = 11.3 + -10. Let t = -2.3 + c. Which is smaller: t or -2/21?
t
Let p = -46 - -45.77. Let k = -0.73 - p. Is 0 at most as big as k?
False
Suppose 0 = -t - t + 4. Let x = 6 - -1. Let n(i) = i**2 - 6*i - 4. Let d be n(x). Which is smaller: d or t?
t
Let y = -4 + 0. Let c = -4 - y. Which is smaller: c or -1?
-1
Let n(g) = -g**2 - g - 2. Let w be n(0). Is w at most as big as 0?
True
Let r be (-51)/(-18) + (-1)/(-6). Let x = r - 4. Which is smaller: x or 1/13?
x
Let z(j) = -j + 1. Let g be z(1). Let o = 1 - g. Let f be 20/9 + (o - 3). Is f at least as big as 1?
False
Suppose -3*n + 2 = 11. Is n > -3?
False
Suppose 1 + 2 = 3*d + 3*y, -5*d = y - 17. Is d > -0.2?
True
Let s(y) = -y. Let q be s(2). Let i = q + 12. Suppose -5*r + i = 5*t, -2*r + 4*t - t - 6 = 0. Which is bigger: -2/3 or r?
r
Let y(h) = h - 7. Let n be y(6). Let l be (3/4 + n)*2. Let b = 8 - 9. Is b < l?
True
Let f(a) = a**2 + 10*a + 12. Let x be f(-9). Let w = 5 - x. Suppose 0 = 3*h - w - 1. Is -1/5 greater than or equal to h?
False
Let m be 0 + -1 + 8/6. Let t = -210 + 2728/13. Which is greater: t or m?
m
Let f = 131.34 - 131. Is f less than -1?
False
Let p = -5/8 - -9/8. Let z = 159/4 - 40. Is z bigger than p?
False
Let s(w) be the third derivative of -w**4/24 + 2*w**3/3 - 4*w**2. Let i be s(6). Is -3 < i?
True
Suppose -h - 9 = 2*h + 3*x, -2*h = x + 1. Which is smaller: h or 4/3?
4/3
Let j be 4 + (0/3 - -4). Do 8 and j have different values?
False
Let i = 16.4 - 12.4. Which is greater: -13 or i?
i
Let k = 92 - 87. Let u be (-1)/3 - (-57)/9. Is k < u?
True
Suppose -2*z + 9 - 1 = 3*l, -2*z - 28 = -3*l. Let b be l/(-35)*(-3 - -8). Do b and -2 have the same value?
False
Let t = 15 - 7. Suppose -3*l + 1 = -t. Let n be -5 - (1 - (1 + l)). Is -3 greater than n?
False
Let q = 14 + -27/2. Which is smaller: q or -3?
-3
Let b = -99/7 + 97/7. Let p be -2 + 2/(-52)*4. Let d = p + 88/65. Which is smaller: b or d?
d
Let w be (-18)/(-14) - (-30)/(-105). Which is greater: w or -2/9?
w
Let k = -4 - -3. Let s = k + 0. Which is smaller: 2 or s?
s
Let k be (4 - 7) + 102/33. Is k smaller than -1?
False
Let u be (-96)/(-40) + 6/10. Which is smaller: 5 or u?
u
Let y be 2*(15/(-2))/(-3). Suppose 0 = -j - 4*v + 2*v - 6, 5*j + v = -3. Suppose -2*z - z + 18 = j. Which is smaller: y or z?
y
Suppose 3*d + 8 = -d. Let y = d + 2. Let t be 2/(-7) - (-9)/7. Which is smaller: y or t?
y
Let i = -5.15 - 0.1. Let v = -0.25 - i. Which is smaller: v or -1/4?
-1/4
Let u = -6 - -8. Let t be 1*(0 + (-1 - -3)). Let k = u - t. Which is smaller: 1 or k?
k
Suppose 4*q = -45 - 223. Which is smaller: q or -68?
-68
Let s(b) = 9*b**3 + b - 1. Let k be s(1). Let o = k - 8. Suppose 2*n - 3 = 4*y - o, -3*y = n - 1. Is 1 at most n?
True
Let h(r) = r**2 + 8*r + 8. Let i be h(-6). Is i >= -0.1?
False
Let b = 1 - 0. Suppose 0 = -4*c - 20, -4*c - 30 = -5*j - 0*c. Which is smaller: j or b?
b
Let r = 41 - 41. Which is smaller: -2/17 or r?
-2/17
Let r be (-82)/(-56) + (-10)/(-35). Is 0 less than r?
True
Let z be (-2)/89 + 4/(-10). Let x = -2/89 - z. Let v(c) = -c**3 - 5*c**2 - 5*c - 3. Let a be v(-4). Which is smaller: a or x?
x
Suppose -4*r - 4*x = r - 6, 3*r - 5*x = 11. Suppose r*d + 0*f = 2*f + 10, -d - f = 5. Which i | {
"pile_set_name": "DM Mathematics"
} |
/(-8)?
4
Let k = 4 - 2. Let v(m) be the third derivative of -m**5/60 + m**4/8 - m**3/6 - m**2. What is the units digit of v(k)?
1
Let a(y) = 4*y**2 - 4*y + 1. What is the tens digit of a(-3)?
4
Suppose -7*f + 9*f = 36. What is the units digit of 2*1/2 + f?
9
Let m(o) = 268*o**2 + 2*o + 1. Let z be m(-1). Suppose 4*b = -91 + z. What is the units digit of b?
4
Suppose 0 = -5*p + q + 373, 3*q - 133 = -2*p - 2*q. What is the units digit of p?
4
Let t be ((-43)/4)/((-6)/24). Let h = t + -19. What is the tens digit of h?
2
Suppose -4*z - 2*k + 896 = -6*k, -4*z = 4*k - 872. What is the tens digit of z?
2
Let h be 25*(16/10 - 2). What is the tens digit of 3/(-3)*(h - 0)?
1
Let u(k) = -k - 3. Let r be u(-8). Suppose -c + 0*c + 5 = 2*z, -4*z + 3 = -r*c. What is the units digit of c?
1
Let i = 752 + -529. What is the tens digit of i?
2
Suppose -169 = -2*h + 5*g - 2*g, 0 = -2*h - g + 173. What is the units digit of 1/4 - h/(-8)?
1
Suppose -2*o = 5*u - 33, 5*o = -0*o + u + 42. What is the units digit of o?
9
Let g = -56 - -80. What is the tens digit of g?
2
Suppose -r + 280 = r. Suppose -5*a + 20 = -r. What is the tens digit of a?
3
Let r = -10 - -16. Suppose 3*w - r*w = 18. Let f = w + 8. What is the units digit of f?
2
Suppose 6*i = 2*i + 164. What is the tens digit of i?
4
What is the units digit of (-95 - -1)*(-7)/14?
7
Let d = -52 + 196. What is the tens digit of d?
4
Suppose 0*y = -y. Suppose 9*g - 4*g - 3*q - 55 = y, 4*q = 0. What is the units digit of g?
1
Let x = 65 - 43. What is the tens digit of x?
2
Let n(g) be the first derivative of 3*g**2/2 - g + 2. Suppose o + 4 = -3*x + 2, x - 2 = -3*o. What is the units digit of n(o)?
2
Let w(j) = -j**3 - 14*j**2 - 12*j + 16. Let n be w(-13). Let g be (n/2)/((-27)/72). What is the units digit of ((-36)/(-10))/(g/(-10))?
9
Suppose 0 = -2*a + 12. Suppose j - 4*b + 16 = -2*j, -3*b + 12 = -5*j. Let f = a - j. What is the units digit of f?
6
Let q = 7 + -15. Let b(s) = -3*s - 10. What is the units digit of b(q)?
4
Let o = -112 - -202. What is the units digit of o?
0
Suppose -1 = -2*m + 7. Suppose g - 4 = -5*l, 2*g - 3*l + l = -m. What is the units digit of g/4 + (-122)/(-8)?
5
Let c be 4*((-2)/4)/(-1). Suppose 2*d + c*d - 17 = -b, 0 = d + 4*b - 8. What is the units digit of d?
4
Let t(x) = -x + 2. Let q be t(0). Suppose -q*w - 3 = -7, -p + w = -5. What is the units digit of p?
7
Let w(u) = u + 10. What is the units digit of w(-8)?
2
Let d(c) be the second derivative of -c**4/12 - 5*c**3/3 - c**2/2 + c. What is the units digit of d(-7)?
0
Let p = 0 - -2. What is the units digit of 0 + -3 + p - -5?
4
Suppose -5 = 5*m - 0. Let c be 1 - m/(1/4). Suppose -4 = c*i - 39. What is the units digit of i?
7
Suppose 6*z - 23 = 37. Suppose 0 = -l - 3*l + t + 19, 0 = 2*l - 2*t - 8. Let k = z - l. What is the units digit of k?
5
Let c = 7 + -5. Suppose -c*x - x - 15 = 4*w, 2*x - 36 = 5*w. What is the units digit of 2/w - 22/(-3)?
7
Let o be (-9)/6*(-4)/(-3). What is the units digit of o/(-1) - -8*2?
8
Suppose -3*g - 5*f + 144 = -40, -4*g + 4*f = -192. Let b = g + -36. What is the tens digit of b?
1
Let x(u) = -4*u**3 - u**2 + u + 2. Let v be x(-2). Suppose 0 = 4*f - v - 12. Suppose 0*y + y = f. What is the tens digit of y?
1
Let d(f) = f**2 + 14*f - 28. What is the units digit of d(8)?
8
Suppose 0 = -5*u - 36 + 131. What is the units digit of u?
9
Suppose 4*b + b = 50. Suppose -b*y + 8 = -8*y. What is the units digit of y?
4
Let j(h) be the second derivative of -h**4/12 - 5*h**3/6 + 3*h**2/2 - h. Suppose 0 = 2*a + 2*t - 2, 0 = -5*a + t - 4 - 15. What is the units digit of j(a)?
9
Let t(q) = -q**3 - 3*q**2 - 2*q + 2. Let j be t(-2). Suppose -j*a = -6 - 20. What is the tens digit of a?
1
Let n(z) = -3 + 2*z + 0*z - 4*z + z**2. Let v be 49/(-14)*(-4)/(-7). What is the units digit of n(v)?
5
Let t be (-1)/((-1 - -3) + -1). What is the units digit of (t + 5 + -3)*4?
4
Let x(m) be the first derivative of -m**3/3 + 5*m**2/2 + 2*m - 3. What is the units digit of x(5)?
2
Suppose 67 = -5*y + 7. Let n = y - -8. Let h = n + 10. What is the units digit of h?
6
Suppose 4*o = 2*o. Let g = 1 - -1. Suppose 2*u - g = -o. What is the units digit of u?
1
Let k(q) = -6*q - 8. Let t be k(-7). Let h = 56 - t. What is the units digit of h?
2
Let f(w) = -5*w + 4. Let i be f(-6). Suppose 2*z + 3*k - 8 = 0, 4*z = k + 2*k + i. What is the units digit of z?
7
Suppose -32 = 3*z - s, -3 = -z + s - 15. Let u = 2 - 3. Let b = u - z. What is the units digit of b?
9
What is the units digit of 15/6*(-376)/(-10) + 0?
4
Suppose 5*u + 25 = 0, 0*u - 5*u = -3*s - 11. What is the units digit of -9*s/45*5?
2
Suppose -h + 27 + 6 = -4*r, r - 3 = -2*h. What is the units digit of 26/(-6)*21/r?
3
Suppose -200 - 514 = -6*k. What is the tens digit of k?
1
Suppose 7*o = 12*o. Suppose o*b + 82 = 2*b. What is the tens digit of b?
4
Suppose -6*c + 576 = -132. What is the tens digit of c?
1
Suppose 0 = 5*s - 2*s - 252. Suppose 4*f + 4*x = s, -x = -5*f + 114 - 9. Let j = f + -15. What is the units digit of j?
6
What is the hundreds digit of 199 - (4 + (1 - 2) + -5)?
2
What is the units digit of ((-50)/20)/(1/(-12))?
0
Let f(v) = 1 + 6 + v**2 - v + 0*v - 1. What is the units digit of f(0)?
6
Let i(d) = d**3 + 7*d**2 + 7*d + 3. Let s be i(-6). Let h = 1 - s. Let b = -3 + h. What is the units digit of b?
1
Let u(c) = c**3 - c**2 + 7*c - 4. What is the units digit of u(3)?
5
Suppose l - 2 - 34 = 0. What is the units digit of l?
6
Let i(c) = 6*c**2 + c + 4. What is the units digit of i(-2)?
6
Suppose 3*o + 2 = -7, 4*o + 12 = -m. Let k(s) = -s**2 + 4. What is the units digit of k(m)?
4
Let y = 57 + -36. What is the units digit of y?
1
Suppose -9*f - 4*f + 3302 = 0. What is the tens digit of f?
5
Let y be 0 + -1*(2 - 4). Suppose 0 = -4*u + y*u + 4. Let b = u + 5. What is the units digit of b?
7
Let r be 3/(-4) + 62/8. Let c(m) = -4 + m + r*m**2 - 3*m + m**3 - 6*m**2 + 3*m**2. What is the tens digit of c(-3)?
1
Suppose -d - 2*d + 36 = 0. What is the units digit of (-456)/(-10) + d/30?
6
Let l(k) = -k**2 + 12*k - 8. Let x = 12 + -1. What is the units digit of l(x)?
3
Let c(z) = -2*z + 1. Let g be c(-2). Suppose u - 64 = g*u. Let q = 23 + u. What is the units digit of q?
7
Suppose -4*n - v = -162 - 97, 329 = 5*n - 4*v. What is the tens digit of n?
6
Suppose -3*c = c + 20. Let u(l) = l**3 + 6*l**2 + l - 6. What is the tens digit of u(c)?
1
Let u = -4 + 9. Let h be (3 + 4/(-2))*u. Let v(j) = -j**3 + 4*j**2 + 5*j + 1. What is the units digit of v(h)?
1
Let p(r) = r**3 + 15*r**2 + 12*r - 36. What is the hundreds digit of p(-13)?
1
Let z(d) = -5*d**3 - 2 + 2*d - 3 + 6. Suppose -2*m = -4*l - 14, -3*m + 2*l + 0 = -5. What is the units digit of z(m)?
4
Let p(z) = -12*z - 3. What is the tens digit of p(-4)?
4
Suppose -2*v = -2*k + 72, -2*k + 38 = 2*v - 18. Let n = -18 + k. What is the units digit of n?
4
Let f be 11 + -7 - (-4)/(-2). Suppose 5*h = f*h + 147. What is the tens digit of h?
4
Let i(q) = 2*q**2 + 2*q + 1. Let p be i(-2). Suppose p*k + 4 = -m + 119, -3*k + 81 = 3*m. Suppose -4*g + 2 + k = 0. What is the units digit of g?
6
Suppose -23*y = -8*y - 2100. What is the units digit of y?
0
Let z be (-15)/9*-1*3. Suppose -5*l - z*u + 20 = 0, 5*l = -u + 6*u + 50. Suppose 0 = -2*t + 3 + l. What is the units digit of t?
5
Let i = -15 - -57. What is the tens digit of i?
4
Let j(z) = -z**2 + 4*z + 4. Let p be j(4). Let x be 1/p + (-18)/8. What is the units digit of x/3 + 33/9?
3
Let s(x) be the first derivative of -2*x**2 + 12*x - 4. What is the units digit of s(-5)?
2
Suppose -3*v = -4*f - 32, v + 2*v + 3*f + 3 = 0. Let w = 1 + 0. Let b = w + v. What is the units digit of b?
5
Let x be 0 - 3 - -4 - 0. Suppose 5 = b + x. What is the units digit of b?
4
Suppose -30 + 0 = -5*w. Let i(p) = -p**2 + 7*p - 1. Let s be i(7). What is the units digit of w + (-2 - s) - 0?
5
Let k = 152 + -56. What is the units digit of k?
6
Suppose 2*d - 9 = -d. Suppose 0 = 5*b - 2*o + 1, 2*o = -1 - d. Let s = 2 + b. What is the units digit of s?
1
Let o = -4 + 2. What is the tens digit of o/(4/(-42))*1?
2
Suppose -2*u = -5*u. Suppose l + u*l = -3, 5*l = -3*r + 9. What is the units digit of r?
8
Let l = -2 - -1. Suppose -r + 10 - 17 = 0. Let z = l - r. What is the units digit of z?
6
Let d(g) = g**3 + 13*g**2 + 7*g + 2. Wh | {
"pile_set_name": "DM Mathematics"
} |
Convert -b75 (base 15) to base 3.
-10112202
Convert -1995 (base 11) to base 10.
-2524
Convert 10350 (base 7) to base 15.
b73
-1100211 (base 3) to base 9
-1324
Convert 1255 (base 9) to base 7.
2513
What is -382 (base 9) in base 14?
-189
Convert 1554 (base 10) to base 3.
2010120
-101135 (base 8) to base 13
-12262
Convert -1001010000110110 (base 2) to base 11.
-26563
Convert -120210 (base 3) to base 8.
-652
Convert -21112222 (base 3) to base 5.
-134012
27a3 (base 13) to base 8
13116
What is -6c8 (base 14) in base 16?
-548
-13 (base 8) to base 7
-14
Convert 637 (base 10) to base 12.
451
Convert -7062 (base 8) to base 2.
-111000110010
-10262 (base 11) to base 14
-563d
What is -1720 (base 14) in base 12?
-2494
-1330 (base 6) to base 11
-291
What is 103103 (base 4) in base 3?
1200202
Convert -20133210 (base 4) to base 11.
-24156
What is 413a (base 11) in base 12?
3214
Convert -131132 (base 4) to base 8.
-3536
What is 32011 (base 5) in base 11?
1668
101010010 (base 3) to base 4
1303032
Convert -7534 (base 8) to base 14.
-160c
What is -8de6 (base 15) in base 11?
-20711
-1146 (base 12) to base 6
-12530
-315 (base 8) to base 12
-151
Convert 4707 (base 16) to base 13.
8379
Convert -1102002 (base 3) to base 6.
-4432
Convert -345 (base 13) to base 14.
-2c4
What is 863 (base 15) in base 14?
993
Convert 1455 (base 16) to base 13.
24a5
What is 10122020021 (base 3) in base 15?
16341
-1313 (base 15) to base 8
-7744
What is 7b (base 12) in base 9?
115
Convert -13a28 (base 12) to base 15.
-81b2
454b (base 13) to base 9
14263
453415 (base 6) to base 13
1461b
Convert -1467 (base 14) to base 13.
-1855
281 (base 16) to base 8
1201
What is -3 (base 9) in base 8?
-3
Convert 1102200 (base 3) to base 8.
2024
34423 (base 5) to base 12
1534
3c6 (base 15) to base 3
1011220
What is -10120022 (base 3) in base 4?
-220220
-13329 (base 10) to base 8
-32021
What is 23301 (base 5) in base 12?
b99
What is 611 (base 12) in base 10?
877
Convert -1534 (base 8) to base 9.
-1155
What is -12223 (base 5) in base 14?
-4b0
-101001 (base 4) to base 10
-1089
Convert 1093 (base 14) to base 16.
b39
-10202 (base 5) to base 15
-302
1022120 (base 4) to base 2
1001010011000
What is 2737 (base 8) in base 15?
6a3
-1b94 (base 12) to base 4
-311200
Convert 27cd (base 14) to base 12.
40a9
-11110011 (base 2) to base 10
-243
664 (base 7) to base 13
202
What is -137 (base 13) in base 3?
-21222
Convert 1313 (base 5) to base 14.
10c
What is 1695 (base 10) in base 9?
2283
Convert 5067 (base 9) to base 13.
18c1
What is 3856 (base 13) in base 5?
224024
What is -353 (base 13) in base 6?
-2355
What is 131 (base 6) in base 8?
67
Convert 7831 (base 10) to base 14.
2bd5
Convert 12200222 (base 3) to base 15.
1372
-1100011 (base 3) to base 10
-976
33511 (base 9) to base 8
53415
12433 (base 6) to base 15
863
Convert 2020 (base 6) to base 5.
3234
Convert 1111001001011 (base 2) to base 16.
1e4b
Convert -1532 (base 9) to base 14.
-5d1
-420032 (base 5) to base 6
-143423
-228 (base 16) to base 10
-552
44302 (base 5) to base 9
4188
Convert 1712 (base 9) to base 4.
110123
Convert 2cd (base 14) to base 16.
23d
-242 (base 5) to base 4
-1020
What is 144 (base 10) in base 12?
100
What is 4343 (base 5) in base 16?
256
-421 (base 5) to base 2
-1101111
-40344 (base 5) to base 12
-1607
What is 1112551 (base 6) in base 14?
16787
Convert -8442 (base 15) to base 6.
-333242
What is -238 (base 16) in base 13?
-349
Convert 39d0 (base 15) to base 2.
11000000111001
Convert 3185 (base 9) to base 14.
bd7
70 (base 16) to base 8
160
What is 2771 (base 10) in base 14?
101d
-23070 (base 8) to base 10
-9784
Convert 10010111011 (base 2) to base 4.
102323
Convert a44 (base 11) to base 7.
3445
1ac6 (base 13) to base 7
14543
Convert 6 (base 10) to base 9.
6
What is -319 (base 10) in base 5?
-2234
5415 (base 7) to base 2
11110000011
Convert -667 (base 9) to base 6.
-2311
Convert -cc (base 14) to base 6.
-500
1053 (base 6) to base 10
249
Convert -1503 (base 10) to base 9.
-2050
1220134 (base 5) to base 3
1011210010
What is -587 (base 11) in base 6?
-3124
What is 131220 (base 4) in base 13?
b2b
Convert -1001001110000 (base 2) to base 9.
-6424
Convert 10010010 (base 2) to base 8.
222
-210120 (base 3) to base 6
-2410
What is -2032213 (base 4) in base 12?
-5347
16a (base 15) to base 16
145
What is -8aa (base 15) in base 13?
-b7a
Convert -1112212210 (base 3) to base 15.
-90a6
-1000000111000 (base 2) to base 5
-113102
Convert -232020 (base 4) to base 8.
-5610
-4584 (base 11) to base 7
-23361
What is 900 (base 12) in base 6?
10000
-1b3 (base 12) to base 16
-117
Convert -2150 (base 13) to base 10.
-4628
-2182 (base 9) to base 12
-b25
-14833 (base 10) to base 7
-61150
What is 542 (base 10) in base 7?
1403
Convert 40b (base 12) to base 9.
722
What is 315 (base 6) in base 9?
142
-1258 (base 16) to base 13
-21a3
-33522 (base 6) to base 14
-1a1c
Convert 12133 (base 6) to base 15.
7e0
Convert -5055 (base 6) to base 14.
-599
Convert -66123 (base 7) to base 14.
-604a
What is -1110010110010111 (base 2) in base 6?
-1132035
Convert -20024 (base 6) to base 9.
-3517
What is 25211 (base 9) in base 7?
100246
What is 1bb89 (base 12) in base 11?
29147
What is 1404 (base 7) in base 5?
4133
Convert 465 (base 12) to base 5.
10103
Convert -59f9 (base 16) to base 5.
-1214113
-1745 (base 14) to base 15
-1387
What is 6218 (base 9) in base 11?
346a
-13410 (base 6) to base 3
-2212120
Convert -1020354 (base 6) to base 7.
-263665
Convert -1313120 (base 5) to base 16.
-65b3
What is -144d4 (base 15) in base 16?
-fec8
Convert -7543 (base 8) to base 6.
-30123
What is 310f (base 16) in base 11?
9488
-403 (base 16) to base 2
-10000000011
c29b (base 13) to base 2
110100011001110
2a0 (base 11) to base 7
1012
28e (base 15) to base 9
718
-23c1 (base 16) to base 10
-9153
Convert 7628 (base 9) to base 11.
4245
What is -2bc8 (base 13) in base 9?
-8720
Convert 4279 (base 13) to base 14.
3510
-60742 (base 10) to base 12
-2b19a
-204300 (base 8) to base 16
-108c0
-5028 (base 11) to base 4
-1220131
What is 5517 (base 8) in base 11?
21a2
What is 26828 (base 10) in base 9?
40718
Convert -12e0 (base 15) to base 11.
-3039
94 (base 10) to base 3
10111
-35666 (base 7) to base 10
-9260
Convert -18427 (base 12) to base 4.
-20211133
200210021 (base 3) to base 15
40d1
What is 98aa (base 15) in base 9?
48317
What is -324123 (base 5) in base 7?
-44355
56a (base 14) to base 2
10000110010
Convert -54b (base 12) to base 7.
-2162
Convert 51131 (base 9) to base 3.
1201011001
What is 2e7 (base 15) in base 8?
1233
What is 36 (base 8) in base 2?
11110
What is 4003 (base 5) in base 11?
418
What is -8763 (base 10) in base 6?
-104323
What is -1680 (base 11) in base 10?
-2145
What is 163 (base 13) in base 8?
372
Convert -5067 (base 8) to base 10.
-2615
Convert -1781 (base 14) to base 13.
-1c04
-48b (base 12) to base 13
-407
Convert 11332 (base 6) to base 9.
2222
-710 (base 15) to base 5
-22330
-74b0 (base 12) to base 4
-3020010
-1123 (base 9) to base 16
-33f
Convert 9793 (base 10) to base 3.
111102201
cdc (base 15) to base 11
2203
What is -3311 (base 10) in base 6?
-23155
2120010 (base 3) to base 14
974
Convert -14545 (base 7) to base 10.
-4051
Convert 111110011010110 (base 2) to base 12.
165b2
346 (base 13) to base 4
20311
Convert -7115 (base 10) to base 14.
-2843
What is -c4f6 (base 16) in base 7?
-300001
-1110201 (base 3) to base 16
-430
Convert -1424 (base 8) to base 6.
-3352
-12311 (base 6) to base 10
-1843
What is 4125 (base 7) in base 6?
10400
13344 (base 6) to base 13
c40
What is b313 (base 12) in base 15?
5b70
Convert 2ba1a (base 13) to base 8.
242072
What is -11000100000 (base 2) in base 13?
-938
245 (base 10) to base 4
3311
What is 25344 (base 8) in base 9?
16050
950 (base 16) to base 4
211100
3891 (base 16) to base 2
11100010010001
-5036 (base 9) to base 6
-25010
What is -66 (base 11) in base 8?
-110
What is 204 (base 14) in base 9?
480
What is 2d (base 16) in base 9?
50
Convert -200122 (base 5) to base 12.
-377b
Convert 11535 (base 6) to base 13.
a1c
What is 3143 (base 8) in base 13?
98a
-3232 (base 12) to base 14
-2018
1184 (base 12) to base 9
2631
What is 2112122 (base 3) in base 14?
965
-3b (base 14) to base 2
-110101
Convert 1101110011 (base 2) to base 12.
617
Convert 6497 (base 16) to base 9.
38282
Convert - | {
"pile_set_name": "DM Mathematics"
} |
*o for v.
0
Solve 0 = 144*a - 142*a - n - 12, 2*a + 48 = -5*n for a.
1
Solve -2*v + 31 = -5*m - 8, 2*v - 41*v = -37*v + 388*m + 3498 for v.
-3
Solve 4*t - 205 = -11*v, 6*v + 96*t - 91 = v + 92*t for v.
19
Solve -35 = 4564*y - 4565*y + 2*k, 5*y - 75 = 5*k for y.
-5
Solve -12*v + 548 = 12*v + 14049*w - 14044*w, v + w = 26 for v.
22
Solve 3*x - 28 - 49 = -4*w, 5*w - 9*x + 295 = w for w.
-4
Solve 9*b - 433 = 12*b + 4*u - 212, -229 = 3*b - 4*u for b.
-75
Solve p + 115 = 2*p + 5*x, 12*p - 10*x - 51 = -13*x + 18 for p.
0
Solve -5*x = -4*z + 48, -4*x + 3*z - 9794 = -3259 - 3229 - 3269 for x.
-4
Solve -15*v + 51*v + 2*i + 22 = 0, 11*v - 4*i + 32 = 7*v for v.
-1
Solve -209*d - 20 = -211*d + 5*q, -3*d = -5*q - 35 for d.
15
Solve -5*s - 2*q = -50, -6019*q + 6021*q = -12*s + 134 for s.
12
Solve 10281424*q + 2 = 10281421*q + 8*k, -52 = -4*q - 3*k for q.
10
Solve -5*z - 5*x + 30 = 0, -16*z + 27*z - 15 - 9 = 15*z - 2*x for z.
-2
Solve 4*z - 35*o = -9*o + 4, 11*o + 209 = 7*z - o + 17*o for z.
27
Solve 4*c + 4 = 0, -2*c - 114 = -d - 92 for d.
20
Solve -162*f + 633 = -48*r - 165*f, 0 = -3*f - 9 for r.
-13
Solve 0 = 4*z - 3*g + 41, 0 = z - 1571288*g + 1571291*g + 29 for z.
-14
Solve 0 = 2*r - 5*y - 112 + 312, 11*r = -2*y + 21 for r.
-5
Solve -15 = -3*m, 4*f + 206833*m - 206832*m = 21 for f.
4
Solve 8 = 2*g - 4*g, 3*f + 88 = -0*f + 5*g - 27*g for f.
0
Solve -27*d - 169*x = 173*x - 347*x + 437, -3*x = -d - 19 for d.
-16
Solve -h - 6*v + v + 223 - 6 = -46, 9*v - 477 = 0 for h.
-2
Solve 601*d + 64*u + 58*u = 123*u - 3001, 5*u = 4*d for d.
-5
Solve 3566*w + 3*f - 38 = 3559*w, -3*f = 4*w - 41 for w.
-1
Solve -179 = 16596*d - 16591*d + 4*y, y = -d + 4*d + 121 for d.
-39
Solve -4*f = 4376*b - 4377*b - 56, -32 = -4*f - 5*b for f.
13
Solve -5*u = 3*c - 125, -209*u + 420*u = 215*u + 6*c - 118 for u.
22
Solve -3*u - 5*h - 24 = 0, -u + 23*h + 375 = 309 for u.
-3
Solve -a - 10 = a, 3*j - 35*a = -36*a - 76 - 7 for j.
-26
Solve 2*b - 3*b - 29 = -n + b - 7*b, -20*b = -3*n + 17 for n.
19
Solve 0 = t - 5*m - 44, -4*t + 2*m + 73 - 78 = -3*t - 43 for t.
34
Solve k = -21*v + 37, -26895*k + 26897*k - 24 = 8*v for v.
1
Solve 106*w + 3*b - 9 = 0, 2 - 8 = 5*w + 5*b - 21 for w.
0
Solve 0*c = -2*l - l + 7*l + c, 186*c = 168*c for l.
0
Solve -10 = -4*n - 5*p - 34, -208*n + 213*n + 30 = -95*p for n.
-6
Solve -281 + 658 + 302 = y + 169*u, 5*y - 7 = 2*u for y.
3
Solve -3117*y + 3112*y + 5*g - 32 + 12 = 0, 0 = g - 3 for y.
-1
Solve 0 = 2*t + x + 12, 3*x = 17897*t - 17859*t - 36 for t.
0
Solve -6*i + 7*i + 4 = 4*w, 3*w - 101*i + 82*i - 441 = 0 for w.
-5
Solve n = 10*d + 48, 93 + 76 = -5*n - 5*d + 134 for n.
-2
Solve -1081*i + 1083*i = 4, 81*r = -i - 808 for r.
-10
Solve -h = 4*z - 675 + 753, 0 = 2*h + z + 16 for h.
2
Solve 6685*p - 6683*p = -3*j + 8, j - 2*p + 24 = -0*p for j.
-4
Solve j = -3*s - 0*j + j - j - 62, 349*j = s - 678 for s.
-20
Solve 50 = -3*k - k + 2*v, -60*k - v = -k + 97 for k.
-2
Solve -3*f + 4*b + 158 = 0, -3*f - 244*b = 2*f - 169*b + 3085 for f.
-2
Solve -c - 21 = 4*a + 8*c - 143, -2*a + 2*c = -4*a + 26 for a.
-1
Solve -4*o = 8*x + 3*x - 12*x - 75, -x = 52*o + 131 for o.
-1
Solve -5*p = -z - 50, -78*p - 71*p + 3*z = -212*p + 69*p - 51 for p.
11
Solve 0 = 4*v - 3*d - 67, -2*d + 105 + 26 = 3*v - 7*d + 12 for v.
-2
Solve r - 3*r - 2 = 0, -36*c - r - 99 = -40*c + 2*r for c.
24
Solve -24 = -5856*d + 5855*d - 2*o, 2*o = 4*d + 4 for d.
4
Solve 24*k - 3*k - 253 = -4*b + 16*k, -5*b - 5*k = -255 for b.
2
Solve -5*b = -1738*g + 1739*g + 37, -4*b - 6*g + 2*g = 36 for b.
-7
Solve -166*a = -162*a - 3*j + 112, 0 = 3*a + 7*j - 286 for a.
2
Solve -p + 52*s = 55*s + 7, -2*s - 49439 = p - 49432 for p.
-7
Solve -92*l + 7*t - 3*t + 428 = 0, -11*l + 2*l + 5*l - 2*t - 6 = -42 for l.
5
Solve -3*t - 19 = 2*s, -123*s + 127*s - 5*t = -5 for s.
-5
Solve -4*o - 2*r + 3*r - 258 = 0, -2*r = 85*o + 3756 + 1680 for o.
-64
Solve 147 = c + 2*k, -874*c + 1743*c = 869*c + k - 71 for c.
5
Solve -4*g - 5*f = 10, 82*g + 2*f + 4 = 29*g + 49*g for g.
0
Solve -4*k = -116, -297695 = -3*s + k - 297715 for s.
3
Solve -m - 4*w = 0, -33*m + 0*w + 4*w - 31 = 14 + 41 + 50 for m.
-4
Solve 2*a - 304*o = -300*o - 50, -9*a + 50 = -13*a + 3*o for a.
-5
Solve 33*f - 10*z = 32*f - 9*z - 7, 0 = -f - z - 3 for f.
-5
Solve -3*g = -2*m - 76, -m + 32124 - 32019 = 5*g for m.
-5
Solve -4*l = 2*f - 34, -103*l - 83 = 21*f - 101*l for f.
-5
Solve 5*x + 174*g + 248 = 178*g + 247, -x - 10*g + 43 = 0 for x.
3
Solve 12*a - 2*i + 96 = 0, -5*a - 5*i + 137 = 37 for a.
-4
Solve -3*l - 28 + 4 = 0, -7*t = -12*t - l + 2 for t.
2
Solve -7*l = -4*k - 127, 62*k - 2*l + 176 = 57*k + l for k.
-37
Solve 4*f - 87 = 5*m, 39 = -m - 104*f + 106*f for m.
-3
Solve -4*d + 53 = -5*j, -42*d + 130*d + 119*d + 2*j = 36*d - 49*d + 1530 for d.
7
Solve 15 = 3*q, y + 161 + 136 + 52 = 79*q for y.
46
Solve -4*v - 71 = w, -6067*w = 6*v - 6072*w - 277 for v.
-3
Solve -3*m - 80 = -134*d + 129*d, -98 = 5*d - 178 for m.
0
Solve 280*j = -5*z + 24*j - 868, -3*z - 5*j = -8*j + 23 + 28 for z.
-20
Solve -4*j + 3*v + 14 = 12 + 21, 0*j + j + 199 = -64*v for j.
-7
Solve 14*s - 3*f - 82 = -3*s, 5*s - 3*s - 4*f - 4 = 2*f for s.
5
Solve -g = -6*x + 6*x + 5*x - 5, x + 4*g - 96 = 0 for x.
-4
Solve -2*a - 3 = -3*s, -1 + 17 = -31*s - 162*a + 167*a for s.
-1
Solve 4*s - 2*z = 28, 32*s - 3*z = 46*s + 2*z + 46 for s.
1
Solve -5*n = 2*l - 39, 320*l - 330*l = -n - 65 for n.
5
Solve 75*i = 12*i + 7*m - 4*m - 132, -5*i + 3*m = 16 for i.
-2
Solve 12*m = -15*b + 2*b + 16*b - 33, m + b - 3*b + 8 = 0 for m.
-2
Solve 0 = 34*f - z - 189, -5*f - 2025*z + 2020*z = 245 for f.
4
Solve 4*v + z - 87 + 267 = -140, 3*v = -52*z - 240 for v.
-80
Solve l - 18 = 4270*y - 4272*y, -18*l + 200 = 5*y for y.
4
Solve 0 = -2*a + 5*i + 26 + 8, -2*i = 3*i - 2*i + i + i + 10 for a.
12
Solve -4*s + 62 = 3*d, 12 = -195*d - 339*d + 519*d + 3*s for d.
2
Solve 5*o - 4*a - 10*a - 15 = -11*a, -4*a - 688 + 679 = -3*o for o.
3
Solve -351*j - 2*b - 74 = -349*j, 0 = -j - 2*b - 78 for j.
4
Solve -4*c + y = -0*c + 29, 2*c + c - 8*y + 70 = -17 for c.
-5
Solve 4*y + 29 = 5*w + 3*w - 15, 3*y + 25 = 4*w for y.
-3
Solve -3*q = 5*v - v - 129, -8*v + 109*q - 357 = -9*v for v.
30
Solve 3*c = -1929*i + 1933*i + 11, -5*i = -2*c + 12 for i.
-2
Solve 54 = 3*p + 3*l, -197230*l - 21 = -p - 197228*l for p.
19
Solve 2*u + i - 73 = -4*i, -32446*i + 32444*i - 14 = -u for u.
24
Solve -36*r + 251 + 306 = 5*t, 12*r - 491 = -5*t + 9*r for t.
97
Solve -98*w = -f - 175*w + 81*w + 9, -6 = 3*w for f.
1
Solve 5655 = 6*c + 5*h + 5256, 95 + 100 = 3*c + 4*h for c.
69
Solve 3*x = -4*z - 23, -5*z = 1979361*x - 1979363*x - 23 for x.
-9
Solve -16*j + 19 = -15*j + 12*g, -4*j + 5*g - 30 = -0*j for j.
-5
Solve -22*l + 37*l - 2*m - 429 = 0, 3*l - 75 = 4*m for l.
29
Solve r + 541*d - 44 = 3*r + 545*d, 0 = -11*r - 3*d - 337 for r.
-32
Solve 257*l - 255*l - 34 = 4*z, 0 = -13*l + 195 for z.
-1
Solve 415*d - 419*d = -7*w - 0*w + 164, -4*d + 789*w - 152 = 785*w for d.
-34
Solve -92*l - 159 = 5*f - 537, 4*f + 0*f + 5*l = 28 for f.
2
Solve -3*z + 806816 = 3*f + 806915, 0 = 2*f - 5*z - 137 for f.
-4
Solve -10*r + 94 = 6*z - 0*z, 3*z = 19*r - 47 + 70 for r.
1
Solve -5*x - 4*c = 60, -3*c - 2296982 = -58*x - 2297431 for x.
-8
Solve -3*q = -0*u - 2*u + 38, 271*q - 3*u = 267*q - 51 for q.
-12
Solve 4*i - 2*a + 22587 = 22613, 5*i + 4*a + 26 = 0 for i.
2
Solve 5*c - 13136*u = -13141*u + 5, 15*u - 31 = c for c.
-1
Solve 3*g + 4*m - 18 = -m - 114, 5*m = -0*m - 90 for g.
-2
Solve -3*f = -2*u - 18, -12*u + 10*u - 201 = -f - 187 for u.
-6
Solve -i + 247*m + 250*m - 492*m = i + 129, -2*i - 2*m - 136 = 0 for i.
-67
Solve 4*s - 2*m = -447 + 399, s = 3*m - 12 for s.
-12
Solve 2*x + 175 + 5 = -45*g, 14*x - 4 = g + 13*x + 5*x for g.
-4
Solve 4*a - 46 = -5*i + 89, -65*i - 54*i - 109 = -8*a - 122*i for a.
5
Solve 3*p - 3*u + 4 = -23, 5*u + 189 + 646 = -215*p for p.
-4
Solve 5*c = -p + 3*c + 3, 5005*p - 19 = 5010*p - 7*c for p.
-1
Solve 14*m = -33*m + 61*m - 56, -318 = -7*z + m for z.
46
Solve 3*i + 5 = 5*w, -2*w + 585*i = -5*w + 581*i - 55 for w.
-5
Solve 12*v + 306 = -3*c, -2*v - 271 = -c - 217 for c.
2
Solve 2*w - w + 0 + 9 = -3*b - 18, -54*w - 454 = 17*w + 4*b for w.
-6
Solve 2*a - w - 33 = -54, -2*w = 72*a - 0*w + 718 for a.
-10
Solve -3*a + 176 = 8*a - 7*k, -3*a - 57*k - 11 = -54*k + 49 for a.
2
Sol | {
"pile_set_name": "DM Mathematics"
} |
6))**2*-6.
-1080605 + 36000*sqrt(2)
Simplify (5*((sqrt(120) - 5*sqrt(120))/sqrt(5) + sqrt(24)))/(sqrt(8) - (sqrt(96) - sqrt(96)*2)/sqrt(12) - (sqrt(8) - sqrt(24)/(2*sqrt(3)))).
-10*sqrt(3)
Simplify 1*(sqrt(2) + (sqrt(2048))**2 + (-3 + sqrt(2) + 5)**2).
5*sqrt(2) + 2054
Simplify (3*sqrt(224)/sqrt(4)*-5)/(-4*sqrt(32) + sqrt(8) - (sqrt(8) - (sqrt(128)/sqrt(4))/sqrt(4))).
15*sqrt(7)/7
Simplify (2*(4 + 2*sqrt(304) - sqrt(304)) + -2*sqrt(304)*5*5 + 0)**2.
-3072*sqrt(19) + 700480
Simplify -1*sqrt(1024)/sqrt(8) - 6*(2*sqrt(6)/sqrt(3))**2.
-48 - 8*sqrt(2)
Simplify (sqrt(57) + (sqrt(57) - sqrt(285)/sqrt(45)) + sqrt(57))/(sqrt(300)*-2).
-2*sqrt(19)/15
Simplify (sqrt(99) + 0)*-2*-1 - ((sqrt(44) - (sqrt(484)*2)/sqrt(11))/(sqrt(24)/(sqrt(24)/sqrt(4))))**2.
-11 + 6*sqrt(11)
Simplify 3*(2*sqrt(21)/(sqrt(108)*2 + sqrt(108) - sqrt(108)) + 4).
sqrt(7)/2 + 12
Simplify ((-1*sqrt(114)*-1 - sqrt(114))/sqrt(6))**2 + (sqrt(684) + (-3*sqrt(684) - sqrt(684)) + 1)**2.
-36*sqrt(19) + 6157
Simplify (sqrt(624)*2*-1)/(sqrt(3) + -1*sqrt(9)/sqrt(3) + sqrt(3) - sqrt(18)/(-2*sqrt(6))).
-16*sqrt(13)/3
Simplify (6*(1*sqrt(204) + sqrt(204)) - (sqrt(204) - (sqrt(204) + (sqrt(204)*1 - sqrt(204) - sqrt(204))))*-4)/(3*(sqrt(72)*-2)/sqrt(6)).
-8*sqrt(17)/3
Simplify ((sqrt(170) - (sqrt(170) + (sqrt(170)*2 + sqrt(170))*-2))/((sqrt(80)/sqrt(2))/sqrt(4))*-3)**2.
5508
Simplify (-2*(sqrt(3146) + -1*sqrt(3146) + sqrt(3146)))/(sqrt(18) - -1*sqrt(162))*3.
-11*sqrt(13)/2
Simplify (sqrt(204) + (sqrt(204) - (sqrt(204)*2 - sqrt(204))*2) - (sqrt(204) + sqrt(204) + (sqrt(204) - -1*sqrt(204)*-4)))/(2*-3*sqrt(588)).
-sqrt(17)/42
Simplify (sqrt(77) - 3*sqrt(77)*4 - sqrt(77))/(sqrt(11) - ((sqrt(33) - sqrt(132)/sqrt(4))/sqrt(3) - sqrt(11))).
-6*sqrt(7)
Simplify (sqrt(99) + sqrt(99)*-2 + 1 + sqrt(99) - sqrt(99))**2 - (((sqrt(99) + -1)*1)**2 + sqrt(99)) - (sqrt(99)*2*2 + sqrt(99) + -4).
-18*sqrt(11) + 4
Simplify (-5 + ((sqrt(125) - (2 + -2*sqrt(125) + sqrt(125))) + 4 + sqrt(125)*4)*-2)**2.
1080*sqrt(5) + 18081
Simplify (sqrt(357)/(sqrt(7) + (sqrt(7) - sqrt(175)) + sqrt(7)))/sqrt(3) - (sqrt(561)/(1*sqrt(11)))/sqrt(3).
-3*sqrt(17)/2
Simplify 5*(sqrt(378)/(sqrt(18)/sqrt(3)))/(sqrt(144)*3) + 0.
5*sqrt(7)/12
Simplify 3 + sqrt(1088) + 2 + 4 - 5*(-1 + sqrt(425)*6).
-142*sqrt(17) + 14
Simplify (sqrt(153)*1*-4)/(-1*sqrt(81)) - 4*((2*sqrt(68))**2 + 2*(sqrt(17) - -1*sqrt(17))).
-1088 - 44*sqrt(17)/3
Simplify (-2*sqrt(180)*1)/((-2*sqrt(18))/sqrt(2) + sqrt(63)/sqrt(112)).
16*sqrt(5)/7
Simplify 4 + 4 + ((sqrt(7) + 0 + -1)**2 - sqrt(7)) + -2.
-3*sqrt(7) + 14
Simplify (sqrt(750) + (sqrt(750)*-3 - sqrt(750))*-1)/(6*(sqrt(294) - -2*sqrt(294))).
25*sqrt(5)/126
Simplify ((-1*sqrt(55)/sqrt(5))**2 - (sqrt(11) + -4 + sqrt(44)/sqrt(4))**2) + sqrt(176) + 0 + 2.
-47 + 20*sqrt(11)
Simplify ((-1 + sqrt(68))*6 - (-1 + sqrt(68) + -1 + sqrt(68))**2)*4 + 2.
-1126 + 112*sqrt(17)
Simplify 3*(sqrt(76) + sqrt(76) + 1 + -2)**2 + -4.
-24*sqrt(19) + 911
Simplify (-4*(2*sqrt(121)*1*2)/((sqrt(121) + (-2*sqrt(121) - sqrt(121)) - sqrt(121))/sqrt(11) - sqrt(132)/(-1*sqrt(12))))**2.
704
Simplify ((sqrt(36)/((sqrt(14)*2)/sqrt(7)))/(sqrt(225)*-2*-6))**2.
1/7200
Simplify 0 + sqrt(30)/(sqrt(810)*-1) + (1 + 2*sqrt(300) + sqrt(300))**2.
539*sqrt(3)/9 + 2701
Simplify sqrt(1872)*1*-5 + ((sqrt(13) - 2*sqrt(13))*-4 - (sqrt(13) + (sqrt(208))**2)*-4).
-52*sqrt(13) + 832
Simplify (2*sqrt(228)*4*-2)/(4*(sqrt(12) + (2*sqrt(60))/sqrt(5))).
-4*sqrt(19)/3
Simplify sqrt(68) + -2 + sqrt(2448) + -3 + sqrt(204)/(sqrt(12)*-1) + sqrt(51)/sqrt(48).
-5 + 53*sqrt(17)/4
Simplify (-1*(0 + sqrt(52) + sqrt(13) + (sqrt(78)*-2 - sqrt(78))/sqrt(6)) + (3*sqrt(156)*-1)/((sqrt(84)*2)/sqrt(7)))**2.
117/4
Simplify ((sqrt(99) + (-1*sqrt(99)*6 - sqrt(99)))*3)/(-4*(sqrt(27)/sqrt(3)*-4 - sqrt(9))).
-9*sqrt(11)/10
Simplify -2*(-6*(-4 + sqrt(891))**2 + sqrt(891))*4 + 1.
-3528*sqrt(11) + 43537
Simplify ((3*sqrt(153)*2 - (sqrt(153)*-2*-3 + sqrt(153)))/(-2*sqrt(1296) - sqrt(1296) - (sqrt(90)*1)/sqrt(10)))**2 + -4.
-5459/1369
Simplify (5*sqrt(76)/sqrt(4) + sqrt(190)/(sqrt(10)*-2) + -4)*-5.
-45*sqrt(19)/2 + 20
Simplify ((sqrt(68) + -2 + sqrt(68) + 0 - sqrt(68)) + -2)**2 - ((sqrt(68)*-1*4)**2 + ((2*sqrt(68) - sqrt(68)) + -1)**2).
-1073 - 12*sqrt(17)
Simplify -5*(4 + 4*(sqrt(110) - -4*sqrt(110)*-2 - sqrt(110))/sqrt(10) + 1).
-25 + 160*sqrt(11)
Simplify (((sqrt(4500) - 5*sqrt(4500)) + sqrt(4500))/(sqrt(9) + (sqrt(9) - 3*(sqrt(9) - sqrt(72)/sqrt(8)))))**2.
1125
Simplify ((sqrt(6) - (sqrt(240)/sqrt(4))/sqrt(10)) + (sqrt(18)/sqrt(3) + sqrt(6) - sqrt(6))*-3)/((sqrt(180)/(sqrt(10) + sqrt(90)))/sqrt(6)).
-12*sqrt(2)
Simplify ((-2 + sqrt(7) + sqrt(28))*-6 + -3 + (sqrt(112))**2 + sqrt(7)*1 + 1)*2 + 1.
-34*sqrt(7) + 245
Simplify (4*sqrt(300))**2 + -1 + sqrt(300) + -2 + (sqrt(105)/sqrt(7))/sqrt(5).
11*sqrt(3) + 4797
Simplify -2 + (sqrt(30)/(sqrt(15)/sqrt(3)))/(-4*(2*sqrt(3) - sqrt(3))).
-2 - sqrt(2)/4
Simplify (sqrt(10) + (2*sqrt(90))/sqrt(9))/((sqrt(72) - sqrt(8))/sqrt(4)).
3*sqrt(5)/2
Simplify 1*((sqrt(704) + 4)**2 + 2 + sqrt(396)).
70*sqrt(11) + 722
Simplify -6*(-1*-5*(-3*sqrt(700) + 2))**2.
-945600 + 18000*sqrt(7)
Simplify ((-6*sqrt(165)*-2)/sqrt(3))/(sqrt(405) - ((-5*sqrt(405)*-2 - sqrt(405)) + sqrt(405))).
-4*sqrt(11)/27
Simplify ((-1*-1*sqrt(112))**2 - (0 + sqrt(7) + 3*-3*sqrt(7))) + 4.
8*sqrt(7) + 116
Simplify ((sqrt(162) - -2*sqrt(162))*-1)**2*-3 - 1*(sqrt(162) - (sqrt(162) - (sqrt(162) + 0)*1)).
-4374 - 9*sqrt(2)
Simplify (sqrt(45)/(-2*sqrt(324)) - (-4 + -2 + sqrt(180)))**2.
-73*sqrt(5) + 31829/144
Simplify ((sqrt(130) - (sqrt(130) + 4*(sqrt(130) - (sqrt(130)*-2 + sqrt(130)))) - sqrt(130)) + -2*sqrt(130)*3)/(5*(sqrt(1000)*-2 + sqrt(1000))) + 5.
3*sqrt(13)/10 + 5
Simplify (sqrt(84)/(sqrt(33)/sqrt(44)))/((sqrt(16) + sqrt(4))*5 + -2*sqrt(12)/sqrt(3)).
2*sqrt(7)/13
Simplify -3 + (-1*sqrt(152)*-3)/((sqrt(36)/sqrt(2))/sqrt(9) - sqrt(18)/sqrt(144)).
-3 + 8*sqrt(19)
Simplify (sqrt(4) + sqrt(576)*-2 + sqrt(576))/sqrt(2) + ((sqrt(198)*2)/sqrt(9))/sqrt(11).
-9*sqrt(2)
Simplify 2 + (4 + sqrt(252) + (sqrt(252) - ((sqrt(252) + 2)**2 + sqrt(252))) - sqrt(252)) + (sqrt(252)*3*-1)**2.
-24*sqrt(7) + 2018
Simplify (4 + sqrt(162))**2 - ((-1*sqrt(16))/sqrt(8)*3)**2.
72*sqrt(2) + 160
Simplify 1*(1*sqrt(48) - ((sqrt(3) - (sqrt(3) + (sqrt(3) - sqrt(12)))) + -4)).
4 + 3*sqrt(3)
Simplify (sqrt(1872) + (sqrt(1872) - (sqrt(1872) - -1*sqrt(1872))))/(1*(sqrt(4) - sqrt(4)*-2))*-6.
0
Simplify (2*-1*sqrt(78) + sqrt(78) + (sqrt(78) - (sqrt(78)*-1 - sqrt(78))*-1) + sqrt(78) + sqrt(78))/(sqrt(54) + sqrt(108)/(sqrt(2) - (sqrt(2) + sqrt(32)))).
0
Simplify (5 + sqrt(1088)*4 + -3*sqrt(1088) + -1)**2.
64*sqrt(17) + 1104
Simplify -5 + (0 + sqrt(32) + 3 + sqrt(8))**2 + 2*(sqrt(12)/sqrt(6))**2 + sqrt(6)/(sqrt(3) - sqrt(3)*-3).
145*sqrt(2)/4 + 80
Simplify -5*-3*sqrt(28)/sqrt(4) - (sqrt(63) + 2 + -2)**2.
-63 + 15*sqrt(7)
Simplify ((-4*sqrt(133)*2 + sqrt(133) + sqrt(133))*-3)/(4*(sqrt(392)/sqrt(7))/sqrt(8)).
9*sqrt(19)/2
Simplify 2*((sqrt(60)/(sqrt(972) + sqrt(12)))**2 + (sqrt(125)*-1 - sqrt(125))**2).
10001/10
Simplify -4 + 3 + -3*(sqrt(1053) + 3*sqrt(1053) - sqrt(1053)).
-81*sqrt(13) - 1
Simplify 2*(sqrt(133)/sqrt(7) + -5)**2 - (3*sqrt(475) - ((sqrt(228)*1 - sqrt(228))/sqrt(12))**2).
-35*sqrt(19) + 88
Simplify -4 + 3 + (sqrt(78)*2*6)/((sqrt(144)/sqrt(4))/sqrt(6)).
-1 + 12*sqrt(13)
Simplify (3 + (1 + sqrt(128))**2)*-1 + (sqrt(800) + sqrt(4)/sqrt(2) + 2)**2.
68*sqrt(2) + 754
Simplify (2*(-6*(sqrt(132) + -1*sqrt(132)))/(sqrt(12)*2))**2.
0
Simplify sqrt(832)*2*3 + (-2*sqrt(1872) - sqrt(208)*-5).
44*sqrt(13)
Simplify ((sqrt(4900) - ((sqrt(4900) - sqrt(4900)*2) + sqrt(4900) + sqrt(4900) + sqrt(4900))*-1)/(sqrt(42)/((2*sqrt(72))/sqrt(12))))**2.
25200
Simplify 1 + (sqrt(65) - (-1*sqrt(65) + sqrt(65))*-5)/(sqrt(5) - (-1*sqrt(55))/sqrt(11)).
1 + sqrt(13)/2
Simplify 2*((-5*(sqrt(17) + 0))**2 - -3*sqrt(17)*-1).
-6*sqrt(17) + 850
Simplify 6*-5*((sqrt(189)*2)/sqrt(7))/(sqrt(1125)/sqrt(5)).
-12*sqrt(3)
Simplify 2*(3*(1 + 0 + sqrt(396) - sqrt(396) - (sqrt(396)*2*1 - sqrt(396))))**2.
-216*sqrt(11) + 7146
Simplify 3*(-1*-2*sqrt(76) - (sqrt(209) + 1*4*sqrt(209) + sqrt(209))/sqrt(11)).
-6*sqrt(19)
Simplify ((-2*sqrt(216))/((2*sqrt(24))/sqrt(8))*-2)**2.
288
Simplify (sqrt(1573) + 0 + sqrt(1573))**2 + sqrt(13) + 2 + -1*sqrt(13) + (1 + sqrt(13) + sqrt(13)*-1)*-3.
62 | {
"pile_set_name": "DM Mathematics"
} |
603*u + 1. What is the third derivative of b(f) wrt f?
-120*f**3 + 27900*f**2 - 6
Let x be 4 - (5 + -2) - ((-5)/5 - 0). Let q(w) be the first derivative of 0*w**x + 0*w**3 - 15/4*w**4 - 9 - 4*w. What is the first derivative of q(k) wrt k?
-45*k**2
Suppose 4*p - 249 = -c, -4*p + 203 = 3*c - 56. Let t = -58 + p. Find the third derivative of 5*q**t + 5*q**2 + 22*q**2 - 10*q**3 - 10*q**3 wrt q.
-90
Find the second derivative of 7*i**2 - 16*i**2 + 9*i**2 + 457*i - 577*i - 2458*i**4 wrt i.
-29496*i**2
What is the third derivative of -1173*h**2 - 1 + 128*h**2 - 961*h**5 - 2478*h**5 wrt h?
-206340*h**2
Let g(n) = -19*n**2 - 5*n - 11. Let p(f) = 8 + f**2 + 0 - 6 - 1. Let d(b) = g(b) + 3*p(b). What is the second derivative of d(m) wrt m?
-32
Let x(u) = u**3 - 17*u**2 + 24*u - 79. Let o be x(16). What is the third derivative of -o*v**2 - 11*v**6 - 29*v**2 - 11*v**6 wrt v?
-2640*v**3
Let l(r) be the first derivative of 0*r**3 - 1/5*r**5 + 33/2*r**2 - 7*r**4 - 9 + 0*r. What is the second derivative of l(b) wrt b?
-12*b**2 - 168*b
Find the second derivative of 41 - 439*o**3 - 26 - 15 + 110*o**3 - 292*o - 2*o**2 wrt o.
-1974*o - 4
Suppose 24 = -5*u - 2*q - 195, 4*q = 5*u + 237. Let z = -43 - u. Find the third derivative of 25 + 11*a**z - 25 + 15*a**2 - 13*a**3 wrt a.
-78
Suppose 4*r + 3*b + 1 = 3, 5*b = -3*r - 4. Suppose -x - 41 = -r*h, 10 = h - 5*x + 3. Differentiate 4*q**4 - 15 + h + 3*q**4 with respect to q.
28*q**3
Let o(y) be the second derivative of -7655*y**4/12 + 2875*y**2 + 7349*y. Find the first derivative of o(z) wrt z.
-15310*z
Let i(c) be the third derivative of 0 + 66*c**2 + 0*c**3 + 0*c + 0*c**5 + 0*c**6 + 44/105*c**7 - 17/6*c**4. What is the second derivative of i(s) wrt s?
1056*s**2
Let s(y) be the first derivative of 0*y**5 + 69/2*y**2 + 25/2*y**4 + 10 - 1/3*y**6 + 0*y + 0*y**3. What is the second derivative of s(n) wrt n?
-40*n**3 + 300*n
Let l(f) = f**3 + 4*f**2 - 12*f + 4. Let y be l(-6). Suppose 0 = b + y - 6. What is the third derivative of 2*h**4 - 26*h**b + 8*h**4 + 16*h**2 wrt h?
240*h
Let b(s) = 627*s**3 + 387*s**2 + 5*s - 1. Let k(v) = 628*v**3 + 390*v**2 + 4*v - 1. Let c(t) = 4*b(t) - 5*k(t). What is the third derivative of c(u) wrt u?
-3792
Let o be 0 + ((-2)/18*6)/((-8)/116). Let p(g) be the first derivative of 7*g - 3 + 0*g**2 + o*g**3. What is the derivative of p(n) wrt n?
58*n
Let l(y) = -6*y - 20. Let f = 26 - 30. Let q be l(f). What is the third derivative of 0*m**4 + 16*m**2 + 9*m**q + 10*m**2 - 2*m**4 wrt m?
168*m
Let x(i) = 4275*i - 4586. Let b(k) = 2144*k - 2293. Let w(l) = 5*b(l) - 3*x(l). Differentiate w(s) wrt s.
-2105
Let h(n) = 7074*n**5 + 8*n**4 - 128*n. Let o(x) = 7075*x**5 + 6*x**4 - 128*x + 1. Let a(d) = -3*h(d) + 4*o(d). Find the second derivative of a(l) wrt l.
141560*l**3
Let q(c) be the first derivative of 0*c**5 + 3/2*c**6 + 0*c**3 + 0*c + 0*c**4 + 99 - 14*c**2. What is the second derivative of q(m) wrt m?
180*m**3
What is the derivative of 11860 - 14120 - 119*o**3 - 79*o**3 wrt o?
-594*o**2
Let h(q) = -2406*q**3 - 4*q**2 + 9*q + 6588. Let p(l) = -602*l**3 - l**2 + 2*l + 1647. Let o(z) = -2*h(z) + 9*p(z). What is the third derivative of o(u) wrt u?
-3636
Let p be 33/(-55) + (-48)/(-5). Suppose 3*j + 3*h = 6*h + p, j - 4*h = 6. Find the third derivative of -3*n**2 - 7*n**2 + 26*n**3 - j*n**2 - 8*n**2 wrt n.
156
Find the first derivative of -1110 - 3314*j + 8130*j - 4008*j wrt j.
808
Let u(j) = -3*j**3 - 37*j + 1361. Let r(q) = -2. Let v(x) = 3*r(x) - u(x). What is the first derivative of v(n) wrt n?
9*n**2 + 37
Find the second derivative of 1 + s**4 + 441*s**2 - 158*s**3 - 461*s + 1385*s - 440*s**2 wrt s.
12*s**2 - 948*s + 2
Find the first derivative of 2320 + 3431*t + 9726*t + 557 - 8557*t wrt t.
4600
Let f(y) be the third derivative of y**6/120 - 1463*y**5/60 - 73*y**4/3 + y**3/6 - 8*y**2 - 54*y. Find the second derivative of f(h) wrt h.
6*h - 2926
Let d(n) be the first derivative of -101*n**6 - 71*n**2/2 - 2*n - 1209. Find the second derivative of d(z) wrt z.
-12120*z**3
Let z(n) be the third derivative of -19*n**6/120 - 19*n**5/60 - 2113*n**3/6 - 398*n**2. What is the first derivative of z(v) wrt v?
-57*v**2 - 38*v
Let s = 43 + -105. Let b = s + 99. What is the derivative of b*f**3 - 9 + 54 - 19 wrt f?
111*f**2
Suppose 4*q = -29 + 49. Suppose 5*m + 1 = 4*g - 1, 23 = 4*m + q*g. What is the second derivative of -17*k**5 + 13*k**5 + k + m*k wrt k?
-80*k**3
Suppose -2*p = 2*n - 512, 2*p + 11*n = 8*n + 509. What is the third derivative of -p*b**2 - 19*b**3 + 9737 - 9737 wrt b?
-114
Let v(s) be the first derivative of 0*s**2 - 81*s - 1/2*s**4 + 84 - 21/5*s**5 + 0*s**3. Differentiate v(p) with respect to p.
-84*p**3 - 6*p**2
Let z(a) be the third derivative of -151*a**9/252 + a**6/60 - a**5/30 - 3239*a**3/6 + 1254*a**2 + 3*a. What is the third derivative of z(b) wrt b?
-36240*b**3 + 12
What is the third derivative of 5*j**5 + j**4 - 6578*j**3 + 6563*j**3 - 4*j + 254*j + 2*j**2 wrt j?
300*j**2 + 24*j - 90
What is the second derivative of -8*f**3 - 826*f - f**4 - 83*f - 415*f + 89*f**3 + 100*f**3 wrt f?
-12*f**2 + 1086*f
Let h(a) be the first derivative of 1103*a**6 + 26*a**3 + 71*a + 4121. Find the third derivative of h(b) wrt b.
397080*b**2
Let b(x) = -60*x**5 - 2*x**2 + 1330*x + 2. Let a(w) = 2*w**5 + w**2 + w - 1. Let f(d) = 2*a(d) + b(d). Find the second derivative of f(z) wrt z.
-1120*z**3
Let a(w) be the second derivative of 0*w**2 + 1/6*w**7 + 3 + 15*w + 0*w**3 + 1/20*w**5 - 31/12*w**4 + 0*w**6. Find the third derivative of a(z) wrt z.
420*z**2 + 6
Let d(w) = w**3 - 21*w**2 + 9*w - 69. Let o be d(21). What is the third derivative of 635*v**6 - 993*v**6 + 518*v**6 - o*v**2 wrt v?
19200*v**3
Suppose 31 = 3*q - 2*c, -4*c + 3 = 5*q - 12. Find the second derivative of 34*j - 21*j**2 - j**5 + 4*j**5 + 21*j**2 - q*j**3 wrt j.
60*j**3 - 42*j
Find the second derivative of 46*o - 1 - 45*o + 1749*o**3 + 19*o + 183*o wrt o.
10494*o
Let f(s) be the third derivative of 5*s**3/2 - s**2 - 45*s. Let r(v) = -1 - 14*v + 13*v + 0. Let t(q) = -3*f(q) - 24*r(q). Differentiate t(x) with respect to x.
24
Let a be ((-3)/15)/(1/(-5045)). Find the second derivative of -z**2 + 14*z**5 - a*z + 1071*z - z**2 wrt z.
280*z**3 - 4
Let m(w) be the third derivative of 7*w**6/40 - 13*w**5/60 - 169*w**4/24 - w**3/3 - 131*w**2 + 1. What is the second derivative of m(c) wrt c?
126*c - 26
What is the second derivative of -130*g - 192*g - 119*g - 24*g**2 + 20*g**3 wrt g?
120*g - 48
What is the third derivative of -1 + 16*u**4 + u**4 + 0*u - 2394583*u**5 + 0*u - 585*u**2 + 2394581*u**5 wrt u?
-120*u**2 + 408*u
Let k(i) be the first derivative of 2097*i**4/2 - 9479*i - 6710. Differentiate k(s) wrt s.
12582*s**2
Let u be 22/44*(5 - 1) + 22. What is the third derivative of 24 - v**2 + 66*v**4 - 4*v**4 + 244*v**2 - u wrt v?
1488*v
What is the second derivative of 112*v**4 - 578*v + 2014*v + 88*v**4 - 200*v**4 + 9196*v**5 wrt v?
183920*v**3
Let l(c) be the first derivative of -153 - 129/4*c**4 + 12*c**2 + 0*c**3 - c. Find the second derivative of l(x) wrt x.
-774*x
Let y be (-1 - -3)*(-4 + 75/6). What is the derivative of -4*o**4 + y*o**2 + 2 + 8 + 59 + 0*o**4 wrt o?
-16*o**3 + 34*o
Find the third derivative of -1112*p**3 + 1449*p**2 - 31*p**3 - 908*p**2 + 1642*p**2 - 204*p**3 wrt p.
-8082
Let n(g) = g + 35. Suppose 5*q = -5*t - 140, -7*t + 8*t + 32 = q. Let a be n(t). Find the third derivative of 18*b**a + 134*b**2 - 96*b**2 - 47*b**5 wrt b.
-1740*b**2
Let c(w) = 6070*w**3 - 18*w**2 + 6*w + 4476. Let y(q) = -6074*q**3 + 15*q**2 - 5*q - 4476. Let u(f) = -5*c(f) - 6*y(f). Differentiate u(s) wrt s.
18282*s**2
Suppose 14*t - 6 = 13*t. Let q(s) be the first derivative of -46*s**2 - 47*s**2 + 105*s**2 - 3 - t*s + 10. What is the first derivative of q(n) wrt n?
24
Let q(n) = n**3 + 349 + 3*n - 348 - 10*n**2 - n. Let h be q(10). What is the third derivative of -h*r**5 - 16*r**5 - 2*r**2 + 34*r**5 wrt r?
-180*r**2
Suppose a + 3*v = -0*a - 7, -v - 5 = 0. What is the first derivative of 8*b**3 + 70 + a*b - 19 - 12*b - 10*b**3 wrt b?
-6*b**2 - 4
Let o be (15 - 10)*1/1. Suppose 3*u - 3 = o*p - 17, 4*u - 2*p = 0. What is the first derivative of u*c - 9*c + 5 + 4 wrt c?
-7
Let q(k) be the second derivative of -k - 23/2*k**2 + 1/6*k**4 + 0*k**3 + 2 - 1/20*k** | {
"pile_set_name": "DM Mathematics"
} |
Simplify (sqrt(133) - 3*-1*sqrt(133) - (-4*-1*sqrt(133) + sqrt(133)))/(1*(sqrt(448) + sqrt(448) + sqrt(448)*-2 + sqrt(448)))*5.
-5*sqrt(19)/8
Simplify (5*sqrt(52)*-5 + 0)**2 + ((sqrt(13) - 4*sqrt(13)) + 4 - sqrt(13))**2 + 4*sqrt(13) + -4.
-28*sqrt(13) + 32720
Simplify (((sqrt(1100)*-2 + sqrt(1100))/sqrt(4))**2 + 4 + (1 + sqrt(11) + sqrt(176) - (sqrt(539) + 0)))*-4.
-1120 + 8*sqrt(11)
Simplify sqrt(1700)*2*1 + (sqrt(1700) + 2 + 0)**2 + (sqrt(1700) + -3 + sqrt(1700))**2 + 1 + 1 + -2.
-60*sqrt(17) + 8513
Simplify ((-1 + sqrt(2736) + 5 + 1*sqrt(2736))*-3 + (sqrt(2736) + sqrt(2736) + (1 + sqrt(2736) - sqrt(2736)))*6 + (-1 + sqrt(2736)*3 - sqrt(2736)))**2.
-1344*sqrt(19) + 175153
Simplify -1*3*(3 + (-2*(sqrt(119) + sqrt(119) + (-3*sqrt(119) - sqrt(119))))/(sqrt(21)/sqrt(3)*2)).
-6*sqrt(17) - 9
Simplify (-5 + -4 + (sqrt(128) + (sqrt(128) - (sqrt(128)*-1 + 2)) + -1 + sqrt(128) + 2)*-6 + 3)**2.
73728
Simplify (((sqrt(495)*-2)/sqrt(9) - sqrt(55)) + (4*sqrt(550) - sqrt(550))/sqrt(10))/(-3*(4*sqrt(20)/sqrt(4) - sqrt(60)/(sqrt(12)*-2))).
0
Simplify 4 + 2 + (3*(0 + -6*1*(sqrt(275) + sqrt(275)*1)))**2 + 0.
356406
Simplify ((sqrt(833) + (sqrt(833) + 0)*1 - sqrt(833) - sqrt(833)) + sqrt(833) - ((sqrt(833) + 1)*-4)**2) + (-2*-5*(-1 + sqrt(833) + 3))**2 + 4.
2583*sqrt(17) + 70360
Simplify (1*sqrt(130)*-5 + sqrt(130) + sqrt(130) + sqrt(130)*-3*-1)/((sqrt(810) - ((sqrt(810) - sqrt(810)*2) + sqrt(810)) - sqrt(810) - sqrt(810))*-5).
0
Simplify 6*(((-1*sqrt(360))/sqrt(6))/sqrt(10))/(sqrt(6)/sqrt(2)*-3 - (2*sqrt(18))/sqrt(6)).
6*sqrt(2)/5
Simplify ((-6*(1*sqrt(76) + sqrt(76)))/(sqrt(32)/(-1*sqrt(8)) - sqrt(4)) - -4*(sqrt(19) - (-3 + sqrt(19) + 2))*2)**2.
96*sqrt(19) + 748
Simplify (-5*(((sqrt(192) + sqrt(192)*-2)*-2 - sqrt(192)) + sqrt(192)))/(sqrt(12)/(sqrt(2) - -1*sqrt(2))*-5)*-5.
-80*sqrt(2)
Simplify -5*((((sqrt(9) - sqrt(27)/sqrt(3))*-4 + sqrt(9) + sqrt(45)/(sqrt(5)*-1))*5)/(sqrt(243) + (sqrt(243) - -2*sqrt(243))*5 - -4*1*sqrt(243)))**2.
0
Simplify 2 + (2 + (-4 + (sqrt(147))**2 - sqrt(3)) - (-2*sqrt(108) - (sqrt(3) + (sqrt(3) - (sqrt(3) + sqrt(9)/sqrt(3)*3)**2))))*-2.
-192 - 26*sqrt(3)
Simplify (2 + sqrt(80) + -2 + -6*(-1 + sqrt(80) + sqrt(80)) - (sqrt(80) + sqrt(5) + 3 + -6*sqrt(405)))**2 + 5.
30*sqrt(5) + 139
Simplify 2*(sqrt(4)/sqrt(2) + sqrt(2)) - (sqrt(2) - sqrt(32)*1) - (-6*sqrt(2)*-4 - (sqrt(2) + (sqrt(112)/sqrt(7))/sqrt(8))).
-15*sqrt(2)
Simplify ((sqrt(78) - sqrt(78)*2)*2 - sqrt(78) - (sqrt(78) - (sqrt(78) + 2*(sqrt(78) + 1*sqrt(78)))))/(sqrt(324)/(sqrt(24)/sqrt(4)))*-3.
-sqrt(13)
Simplify (2*(sqrt(66) + sqrt(66) + (sqrt(66)*2 + sqrt(66))*4)*1)/(sqrt(486) + -1*(sqrt(486)*2 + sqrt(486)) - 2*sqrt(486)*4).
-14*sqrt(11)/45
Simplify (-4*sqrt(156)*-2 - (1*sqrt(156)*-1 + sqrt(156)))/(sqrt(1200)*1 - sqrt(108)*1) + 3.
3 + 8*sqrt(13)/7
Simplify (sqrt(385)/(((sqrt(84) - sqrt(84)*-2) + sqrt(84) - sqrt(84))/sqrt(12)))/(2*5*sqrt(99)) + 0.
sqrt(5)/90
Simplify 0 + 2 + ((sqrt(51) - (sqrt(561)/(2*sqrt(11)) - sqrt(51))) + 5*sqrt(204)/sqrt(4))/(6*(sqrt(432) + 1*sqrt(432) + sqrt(432))).
13*sqrt(17)/432 + 2
Simplify 2*((2 + (sqrt(170) + 6*(sqrt(170)*2 - sqrt(170) - sqrt(170)))/sqrt(10))**2 - 4*(-3*(sqrt(612) - sqrt(612)*-2))**2).
-396534 + 8*sqrt(17)
Simplify (sqrt(189)/(sqrt(9) + (-1*sqrt(441) - sqrt(441) - sqrt(441))))/((sqrt(24)/(sqrt(8)*2) + sqrt(3))*-6)*2 + -3.
-3 + sqrt(7)/90
Simplify (2*(sqrt(170) - (-4*sqrt(170) + sqrt(170))) + sqrt(170))/(sqrt(30)/sqrt(12)) + (sqrt(51) + (-4*sqrt(510))/sqrt(10))/(sqrt(3) - -2*sqrt(15)/sqrt(5)).
17*sqrt(17)
Simplify (1*5*sqrt(136)*-6*1)/((sqrt(200) + (sqrt(200) + sqrt(200)*-5)*2 + sqrt(200) + sqrt(200) + sqrt(200))*-5).
-3*sqrt(17)/10
Simplify -5 + ((-6*((sqrt(128)*2 - sqrt(128)) + -4))**2 - ((sqrt(128)*-2)**2*-3 - (2*sqrt(128)*1)**2)).
-2304*sqrt(2) + 7227
Simplify 3*(sqrt(208) + 3)*3 + 2*-4*sqrt(208)*1 + 5.
4*sqrt(13) + 32
Simplify (-1 + ((-5*(sqrt(126) - (sqrt(126) + 2*sqrt(126) + sqrt(126))))/sqrt(7))/(sqrt(90)/sqrt(160) + 2*sqrt(441)) + 4)**2.
120*sqrt(2)/19 + 4049/361
Simplify (5*(sqrt(104)*-5*3 - sqrt(104))/sqrt(8) - (4*sqrt(13)*-1 + sqrt(104)/(sqrt(200) - sqrt(8)) + -2))**2.
-305*sqrt(13) + 1209389/16
Simplify 5*(-6*((sqrt(891)*3*1)**2 + ((sqrt(11) - sqrt(66)/(sqrt(24)/sqrt(4))) + -5)**2) + 0).
-241320
Simplify (5*-2*sqrt(110)*-1*-6)/(1*sqrt(30)/sqrt(3) + sqrt(640)*-2).
4*sqrt(11)
Simplify (4 + (3*(5*(1*sqrt(72) - sqrt(72)) - sqrt(72)) - (3 + 1*sqrt(72) + sqrt(72) + (2*(sqrt(72) + 1) - sqrt(72) - sqrt(72))))*5)**2 + 1.
6300*sqrt(2) + 45442
Simplify (0 + ((sqrt(1539) + 0)*1*-3 - 2*(0 + sqrt(1539) + -4)) + -5)**2.
-270*sqrt(19) + 38484
Simplify -5 + sqrt(425) + -4*(0 + sqrt(425)) + -3 - (sqrt(425) + sqrt(425) + -2 + 1 + (1 + -2 + sqrt(425) + sqrt(425))**2).
-1708 - 5*sqrt(17)
Simplify 3*sqrt(170)/(sqrt(360)*2) + (5*(sqrt(68) + -1*sqrt(68)))/(sqrt(4) + -1*sqrt(8)/sqrt(2) + sqrt(4) + sqrt(4)).
sqrt(17)/4
Simplify (sqrt(1960)*-5 - sqrt(640)*4)/(sqrt(8)*3*6 + sqrt(8) + sqrt(72)*-2).
-51*sqrt(5)/13
Simplify (-2*(sqrt(102)/(sqrt(2) + 2*sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128)))/(sqrt(27)*-6 - (sqrt(165)/sqrt(5))/sqrt(11)))**2 + 2.
1213750/606841
Simplify (-2 + (sqrt(1300) + 4 + sqrt(1300)*-1 - (5 + (1 + sqrt(1300) - sqrt(1300)))))**2 - (sqrt(39)*1*-1)/(-4*sqrt(75)).
-sqrt(13)/20 + 16
Simplify -1*(-6*(4*sqrt(171)*3 + sqrt(171)))/(4*(3*sqrt(63))/sqrt(7)).
13*sqrt(19)/2
Simplify ((sqrt(85)*-3*-4*6*-3)/((sqrt(50) - -2*sqrt(2450))/(-1*sqrt(160))))**2.
1410048/25
Simplify (-1 + 1*sqrt(612)*-1)**2 + ((-3*(sqrt(102) + 1*sqrt(102)))/(sqrt(600)*2))**2 + 2 + -3.
12*sqrt(17) + 61353/100
Simplify (4*(-1*sqrt(2736) + sqrt(2736) + -2 - (sqrt(2736) + sqrt(2736) + 1)*-4) - (-1 + 0 + sqrt(2736) + 3*-1*sqrt(2736)))**2.
7344*sqrt(19) + 3162897
Simplify 5 + -3*(1 + (sqrt(280)*-2*-1)/(-4*sqrt(30)/sqrt(3))*1)**2.
-19 + 6*sqrt(7)
Simplify 4*(0 + (sqrt(110) - (sqrt(110) - (sqrt(110) - -1*sqrt(110)*6) - sqrt(110) - sqrt(110)))/(sqrt(250)*-6)*6 + 0).
-36*sqrt(11)/5
Simplify 1*sqrt(68) + sqrt(68) - (3*sqrt(153))**2 - ((sqrt(17) - (sqrt(17) + sqrt(85)/sqrt(5))) + 5 - (sqrt(272)*4 - sqrt(17))).
-1382 + 20*sqrt(17)
Simplify (-1 + sqrt(44)/(1*sqrt(8)/sqrt(2)) - (-4 + (-1*sqrt(11) - sqrt(11)) + sqrt(11) - (sqrt(11) - sqrt(77)/(sqrt(7) - sqrt(252))))**2) + 3.
-1681/25 - 83*sqrt(11)/5
Simplify (-2*sqrt(2673)*2)/(1*(sqrt(30)/sqrt(490) - sqrt(3))).
42*sqrt(11)
Simplify 6*(5 + -3*(sqrt(1331) + sqrt(1331) + 1 + sqrt(1331) + 4) + 3*(sqrt(1331) + sqrt(1331)*1 + -5))**2.
9900*sqrt(11) + 75624
Simplify sqrt(77)/sqrt(112) + (sqrt(11) - (sqrt(539) + sqrt(539) + 4)) - (5 + ((-2*sqrt(396) - sqrt(396) - sqrt(396)) + 0 - sqrt(396)))**2.
-9929 + 1149*sqrt(11)/4
Simplify ((sqrt(153)*-1 + 5)**2 - (sqrt(153) + 0 + 2) - (-2 + sqrt(153) + 4 - ((2*sqrt(153) - sqrt(153))*-4)**2)) + -5.
-36*sqrt(17) + 2617
Simplify (sqrt(3800) - (sqrt(3800) + sqrt(3800)*1 + sqrt(3800)))/(3*sqrt(8)) - ((-2 + 5 + sqrt(76)/sqrt(4) + sqrt(114)/sqrt(54))*-2)**2.
-1540/9 - 106*sqrt(19)/3
Simplify (4*sqrt(320)*1 + sqrt(320) + -2*sqrt(320)*2)/((sqrt(4) - (sqrt(4) + sqrt(16))*-2) + sqrt(28)/sqrt(448)).
32*sqrt(5)/57
Simplify ((-3*(sqrt(108) - -2*sqrt(108))*4)/(4*sqrt(18)/(sqrt(14)/sqrt(7))))**2*1.
972
Simplify (-1*1*(1*-2*sqrt(847) - 2*-2*sqrt(847)))**2*-3.
-10164
Simplify (2*sqrt(520)*-3 - 1*sqrt(520)*-5)/(-3*(1*sqrt(490) - sqrt(490)) - sqrt(490)).
2*sqrt(13)/7
Simplify (sqrt(228) + 2*sqrt(228)*-1 + sqrt(228)*-3*2)/(sqrt(12) + sqrt(84)/(2*sqrt(7)) - sqrt(84)/sqrt(63)).
-6*sqrt(19)
Simplify 3*((1 + sqrt(125)*-1 + sqrt(125) + (-2 + 1*sqrt(125))**2 + sqrt(125) + sqrt(125) - (5 + (1 + sqrt(125))**2)*-4) + 4).
90*sqrt(5) + 1974
Simplify ((0 + 1 + sqrt(1331) + 1 + sqrt(1331) + -4 + sqrt(1331) + 4 + 1)*-2)**2.
792*sqrt(11) + 47952
Simplify (((sqrt(120)*-2*1)/(sqrt(392)*-2))/(sqrt(108)*4 - sqrt(27)/(-4*sqrt(9))))**2.
80/461041
Simplify (sqrt(256)*-6*1)/(sqrt(96)/(sqrt(12) - -1*sqrt(12)))*1.
-48*sqrt(2)
Simplify (4*sqrt(136)*-6 - -4*(sqrt(136) - 4*sqrt(136)))/(sqrt(8) + sqrt(288) + (sqrt(288) - (sqrt(288) + -4*sqrt(288))) - (sqrt(80) - sqrt(80)*1)/sqrt(10)).
-36*sqrt(17)/31
Simplify (5*sqrt(91)/(3*2*sqrt(7)))**2 + 5 - (1*(-3*sqrt(13)*3 - (0 + sqrt(91)/sqrt(7))))**2.
-46295/36
Simplify (6*(2 + sqrt(75) + (sqrt(75) + 0)*-1 + -3 - 5*-1*(sqrt(75) + ((1*sqrt(75) + -1 - sqrt(75)) + sqrt(75) - sqrt(75)))))**2.
-10800*sqrt( | {
"pile_set_name": "DM Mathematics"
} |
w(c) = -6*c - 24. Let i be w(-5). Let t(l) be the third derivative of -l**4/24 + l**2. Let s(d) = 8*d. Determine i*t(z) + s(z).
2*z
Let a(v) = -2*v + 2. Let o = 12 + -4. Let y(h) = -3*h - 7. Let m(b) = 5*b + 11. Let i(l) = 5*m(l) + 8*y(l). Let q = 2 - -1. Determine o*i(u) + q*a(u).
2*u - 2
Let b = -4 - -7. Let m(x) = x**2. Let d(o) = 2*o - 1. Let v = 5 - 4. Let i be d(v). Let j(t) = -5*t**2. Calculate b*m(g) + i*j(g).
-2*g**2
Suppose h = r - 8, 0 = -5*r - h - h + 33. Let k(b) = -11*b - 13. Let m(n) = -6*n - 7. Determine r*m(q) - 4*k(q).
2*q + 3
Let n(c) = c + 1. Let k(g) = -6. Give k(w) + 5*n(w).
5*w - 1
Suppose -13 + 5 = -4*n. Let o = n + 2. Let f(j) = -5*j**3 + 6*j - 6. Let r(q) be the first derivative of q**4 - 5*q**2/2 + 5*q + 3. What is o*r(b) + 3*f(b)?
b**3 - 2*b + 2
Let l(s) = 2*s**2 - 5*s + 11. Let z(f) = -f**2 + 3*f - 6. Let a = 17 + -6. What is a*z(v) + 6*l(v)?
v**2 + 3*v
Suppose -2*w + 5*c = -0*w - 10, 34 = 3*w + 2*c. Let u(h) = 3*h**2 - 4*h**2 - 8*h + w*h + 2*h**2. Let b(r) = 4*r**2 + 9*r. Calculate 2*b(i) - 9*u(i).
-i**2
Let q(k) be the first derivative of k**4 + 5*k**3/3 - 3*k + 30. Let m(l) = 2*l**3 + 3*l**2 - 2. What is -5*m(h) + 3*q(h)?
2*h**3 + 1
Suppose -5*s = 2*x + 31, 3*s - 2*x = -8 - 1. Let o(a) = -8*a**3 + 14*a**2 + 8*a - 6. Let t(w) = 3*w**3 - 5*w**2 - 3*w + 2. Give s*o(m) - 14*t(m).
-2*m**3 + 2*m + 2
Suppose 4*r - 9*r = 25. Let g(o) = -2*o**3 + 5*o - 5. Let a(y) = -y**3 + 2*y - 2. Give r*a(w) + 2*g(w).
w**3
Let x(y) = -y - 1. Let w(d) = -3*d - 4. Let g(m) = 2*w(m) - 7*x(m). Let j(b) = -2*b**2 - b**3 + 2*b**2 + 1 - 3*b. What is -3*g(o) - j(o)?
o**3 + 2
Let b(u) = -16*u**3 + 8*u**2 - 8*u. Let z(n) = 11*n**3 - 5*n**2 + 5*n. Calculate -5*b(i) - 8*z(i).
-8*i**3
Suppose l - k - 8 = 0, 3*k = -13 + 1. Suppose -2*j - 9 = -4*s + 7, s - 13 = -l*j. Let n(t) = -j + 1 + 2*t - 3. Let d(p) = 2*p - 3. Give 6*d(b) - 5*n(b).
2*b + 2
Let d be (-3)/1 - -6 - 14. Let n(x) = -x**3 - 12*x**2 - 13*x - 16. Let l be n(d). Let b(q) = -9*q**2 - 7. Let a(k) = -26*k**2 - 20. Give l*a(w) - 17*b(w).
-3*w**2 - 1
Let p(w) be the first derivative of 3 + 0*w - w**2 + 2/3*w**3. Let k(d) = -d**3 - 9*d**2 + 9*d. What is -2*k(j) - 9*p(j)?
2*j**3
Let t(s) = -2*s - 2. Let o(c) be the third derivative of c**4/24 - c**3/3 - c**2. Let d be o(4). Let y(l) = 3*l - d + 3 + 3. What is 5*t(m) + 3*y(m)?
-m + 2
Let t(c) = 28*c**3 + 6*c**2 - 10*c + 28. Let u(r) = 9*r**3 + 2*r**2 - 3*r + 9. Calculate 3*t(q) - 10*u(q).
-6*q**3 - 2*q**2 - 6
Let f(q) = -5*q**2 + q - 4. Let i(y) = -9*y**2 + y - 7. Calculate 5*f(c) - 3*i(c).
2*c**2 + 2*c + 1
Suppose -3*m = -4*m + 12. Suppose -v = v + m. Let s(p) = -8*p**3 + p + 4. Let o(j) = -7*j**3 + j + 3. Calculate v*o(l) + 5*s(l).
2*l**3 - l + 2
Let g(s) = 4*s**3 - 7*s**2 + 5*s + 5. Let y(a) = -2*a**3 + 4*a**2 - 3*a - 3. What is 3*g(u) + 5*y(u)?
2*u**3 - u**2
Let g(v) = -3*v - 7. Let i(m) = -m + 6. Let p(c) = -3*c + 12. Let a(h) = -9*i(h) + 4*p(h). Determine 7*a(s) - 6*g(s).
-3*s
Let r(k) be the first derivative of -3*k**2 + 5*k + 1. Let q(p) = -7*p + 6. Determine -5*q(y) + 6*r(y).
-y
Let x(n) = -n**2 + 1. Let d(u) = -3*u**2 - 2*u + 5. Let m be 19/133 + (-16)/14. Give m*x(s) + d(s).
-2*s**2 - 2*s + 4
Let t(k) = 0*k**2 + k + 4*k**2 - 3*k**2 - 1 + 0*k**2. Let d(w) = -5*w**2 - 8*w + 6. Calculate d(f) + 6*t(f).
f**2 - 2*f
Let i(w) = -w. Let v(j) = 2*j**2 + 4*j + 2. Suppose 10 = 56*q - 58*q. Determine q*i(s) - v(s).
-2*s**2 + s - 2
Let m(r) = 19*r + 18. Let n(p) = -10*p - 9. What is 6*m(g) + 11*n(g)?
4*g + 9
Let q(w) = -27*w - 11. Let l(b) = 14*b + 6. Calculate 7*l(i) + 4*q(i).
-10*i - 2
Let m(d) = d - 3 + 2 + 2. Let x(h) = -4*h - 4. Let p(t) = 16*t + 16. Let z(y) = -4*p(y) - 18*x(y). Calculate -6*m(v) + z(v).
2*v + 2
Let p(g) = -3*g**2 + 3*g - 1. Let x(a) = 3*a**2 - 4*a + 1. Suppose -3 = -3*m - 15. What is m*p(v) - 3*x(v)?
3*v**2 + 1
Let y(m) = 6*m**3 + 17*m**2 + 14*m + 17. Let b(t) = -2*t**3 - 6*t**2 - 5*t - 6. Determine 17*b(w) + 6*y(w).
2*w**3 - w
Let b(y) = 4*y**3 + 4*y. Let h(s) = 3*s**3 + 5*s. Give -5*b(l) + 4*h(l).
-8*l**3
Let o(r) = 0 - 2*r**2 - r + 4*r**2 - 8. Let j(a) = a**2 - 1. Let m(q) = 3*q**2 + q + 2. Let x(d) = 5*j(d) - m(d). Give -6*o(i) + 7*x(i).
2*i**2 - i - 1
Let y(i) = 8*i + 5*i - 3 - 11*i. Let d(x) = 3 + 2*x - 1 - 1 - 3*x. Give 3*d(r) + y(r).
-r
Let i(b) = b + 1. Let k(q) = -4. Give -3*i(r) - k(r).
-3*r + 1
Let w(i) = -6 + 13*i**2 - i**3 - i**3 - 7. Let u(f) be the first derivative of -6*f + 0*f**2 - 1/4*f**4 + 2*f**3 + 2. Give -13*u(p) + 6*w(p).
p**3
Let j(p) = -3*p**3 + 9*p**2 + 5*p + 9. Let c(s) = s**3 - 2*s**2 - s - 2. Calculate -9*c(n) - 2*j(n).
-3*n**3 - n
Let u(q) = 7*q. Let k(x) = -11*x. What is -5*k(v) - 8*u(v)?
-v
Let p(s) = -23*s**2 + 2*s + 2. Let a(x) = 47*x**2 - 4*x - 5. What is 4*a(v) + 9*p(v)?
-19*v**2 + 2*v - 2
Let d(j) = 6*j + 3. Let o(v) = -9*v - 5. Let a(n) = 9*n + 5. Let z(y) = 7*a(y) + 6*o(y). Calculate 8*d(w) - 5*z(w).
3*w - 1
Let q(l) = 4*l**2 + 4*l + 2. Suppose 19 = 5*t - 101. Suppose -2*v = -0*v - 4*r - t, 31 = 3*v - 5*r. Let p(o) = -o**2 - o - 1. What is v*p(g) + q(g)?
2*g**2 + 2*g
Let i(n) = 23*n**2 - 4*n + 2. Let d(o) = -12*o**2 + 2*o - 1. Calculate -5*d(u) - 3*i(u).
-9*u**2 + 2*u - 1
Let x(d) = 4*d**2 + 4*d - 5. Let f(u) = -9*u**2 - 7*u + 11. Determine -6*f(r) - 13*x(r).
2*r**2 - 10*r - 1
Suppose 4*o - 1 = 3*o. Let z be -10 - (6/(-2) + o). Let p(n) = -5*n. Let t(d) = 3*d. Let l(s) = -s**3 + 2*s - 1. Let c be l(2). Give c*p(v) + z*t(v).
v
Let t(y) = 11*y + 1. Let k(p) = -10*p - 1. What is -4*k(r) - 3*t(r)?
7*r + 1
Let p(k) = -21*k**2 + 15. Let l(q) = q**2 - 1. Determine -12*l(r) - p(r).
9*r**2 - 3
Let t(w) = 8*w**3 - 15*w + 2. Let b(q) = 4*q**3 - 8*q + 1. Determine -5*b(v) + 3*t(v).
4*v**3 - 5*v + 1
Let z(y) = -10*y + 1. Let i(n) = 51*n - 6. What is -2*i(r) - 11*z(r)?
8*r + 1
Let v(x) = -2*x**2 + 5*x + 4. Suppose -13*f - 12 = -17*f. Let p(c) = -c**2 + 4*c + 3. What is f*v(i) - 4*p(i)?
-2*i**2 - i
Let u(j) = 8*j + 11. Suppose 2*f + 2*f - 8 = -4*r, 4*f - 26 = 5*r. Let k = -7 - f. Let h(d) = 3*d + 4. Determine k*h(l) + 4*u(l).
-l
Let n(v) = v**2 - 2*v - 8. Let d(g) = 3*g**2 - 4*g - 21. Let w(q) = 6*q**2 - 7*q - 41. Let u(o) = 5*d(o) - 2*w(o). What is 17*n(a) - 6*u(a)?
-a**2 + 2*a + 2
Let h(n) = -n**3 - n**2. Let q(f) = 3*f**2 - 3*f**3 - 5*f**2 - 2*f**3 - f**3. What is -4*h(b) + q(b)?
-2*b**3 + 2*b**2
Let r(t) = 3*t**2 + 1. Let d(f) = -7*f**2 - 2*f - 7. Let j(g) = 3*g**2 + g + 3. Let a(z) = 4*d(z) + 9*j(z). Calculate -a(c) - r(c).
-2*c**2 - c
Let b(v) = -20*v + 59. Let t(p) = 4*p - 12. Let d(y) = 2*b(y) + 11*t(y). Let j(m) = -m + 3. Determine 6*d(r) + 28*j(r).
-4*r
Let o(r) = r**2. Suppose 9*a - 4*a = 3*b + 4, 4*b - 4*a = 0. Let l be 6/4 + (-1)/(-2). Let x = l + b. Let i(g) = -3*g**2 - g + 1. Calculate x*o(p) + i(p).
p**2 - p + 1
Let w(q) = -q**3 - q**2 + q + 1. Let c(v) = -7*v**3 - 5*v**2 + 8*v + 5. Give c(f) - 5*w(f).
-2*f**3 + 3*f
Let n(v) = -v. Suppose -5*z = 9*d - 12*d - 10, -15 = -2*z - d. Let s(p) = 3*p - 4. Let w(h) = 4*h - 3. Let l(q) = 2*s(q) - 3*w(q). What is z*n(f) - l(f)?
f - 1
Let u(m) = 19*m + 3. Let y(b) = 10*b + 1. Give -3*u(h) + 7*y(h).
13*h - 2
Let x(b) = -7*b + 5. Let k(l) = 8*l - 6. Let r(c) = -6*k(c) - 7*x(c). Let w(y) = -5 + 3 - 1. Give -2*r(a) - w(a).
-2*a + 1
Let q(z) be the third derivative of z**4/6 + z**3/6 + z**2. Let x(i) = -9*i - 2. Let a = -94 + 91. What is a*x(b) - 7*q(b)?
-b - 1
Let z(s) be the second derivative of 7*s**3/6 - 5*s**2 - 28*s. Let d(k) = -15*k + 21. Give 6*d(c) + 13*z(c).
c - 4
Let m(s) = 0*s - 2 + 3*s - 4 - 3*s**2. Let z(x) be the first derivative of -x**3/3 + x**2/2 - x - 3. Let a be (15/(-9))/((-1)/(-3)). Give a*z(h) + m(h).
2*h**2 - 2*h - 1
Let r(b) = 10*b**2 - 4*b. Let x(g) = -g**2 - g - 1. Calculate r(q) - 4*x(q).
14*q**2 + 4
Let k(n) = -2*n - 9. Let u(r) be the third derivative of r**4/8 + 13*r**3/6 - 16*r**2. Determine 7*k(q) + 5*u(q).
q + 2
Let z(a) = -43*a**2 - 5*a + 5. Let x(w) = 21*w**2 + 2*w - 2. Give 5*x(o) + 2*z(o).
19*o**2
Let m(x) = 6*x**2 - 3. Let a(u) = 5*u**2 - 4. What is 3*a(q) - 4*m(q)?
-9*q**2
Let f(r) = -4*r**2 + r - 2. Let p be 1*(-7)/((-21)/9). Let g(b) = 2 - b**2 + 5*b**2 - 4*b**2 + p*b**2 - b. Determine -2*f(u) - 3*g(u).
-u**2 + u - 2
Let w(p) = -7*p**3 + 3*p**2 + 3*p + 3. Let i(j) = 14*j**3 - 5*j**2 - 5*j - 5. Give 3*i( | {
"pile_set_name": "DM Mathematics"
} |
f k?
False
Let a be (102/(-8))/((-54)/288). Suppose 5*w = 6*w - a. Is 13 a factor of w?
False
Let k(y) be the first derivative of y**4/4 + 13*y**3/3 + 7*y**2/2 + 10*y + 9. Is 6 a factor of k(-12)?
False
Let a be 5 - (3 + -2 - -2). Suppose -a*k = -v + 21, 3*k + 40 = 2*v - 2*k. Let n = v + -10. Does 10 divide n?
False
Let t = -11 - 3. Is 34 a factor of 34/3*(t + 17)?
True
Suppose -i + 3*i = -2*i. Suppose 2*u + 0*f - 197 = f, 2*u + 4*f - 182 = i. Is u a multiple of 6?
False
Let r = 217 - 93. Is r a multiple of 12?
False
Let w(n) = -104*n + 8. Let y be w(-10). Does 48 divide (45/30)/(6/y)?
False
Let k(v) = 0*v**2 + 2*v**2 + 0 - 10*v - 2. Let w be (-44)/(-6) - (1 - (-4)/(-6)). Does 13 divide k(w)?
True
Let m = 136 + -146. Is 5 a factor of (545/(-10))/(5/m)?
False
Suppose -12*u + 23*u - 902 = 0. Does 33 divide u?
False
Let g(v) = -24*v + 4. Suppose 2*d + 5 + 2 = w, -5*d = -4*w + 16. Is g(d) a multiple of 29?
False
Let t(q) = q**2 - 36*q - 25. Let y be t(34). Let x = y + 247. Is 18 a factor of x?
False
Is 11650/14 + 33/(-231) a multiple of 8?
True
Let t(u) = -10*u - 33. Let f be t(-14). Suppose -5*v + f = r, 0 = 3*v - 7*v + 2*r + 80. Does 7 divide v?
True
Suppose n - 4*n - 312 = 0. Let y = -43 - n. Is y a multiple of 7?
False
Let z be (-1)/(-8) + (-6)/(-16)*-1643. Does 44 divide (z/(-6))/(-7)*-3?
True
Suppose 0*t = -4*t + 84. Suppose -8*a = -9*a + t. Is 9 a factor of (-98)/a*(-54)/7?
True
Suppose 18 = -m + 3*m. Suppose 3*z = 5*l - 0*l + m, -3*z - 5*l = -9. Suppose z*g - 91 = -22. Is 7 a factor of g?
False
Suppose 0 = -5*g + 3 + 7. Suppose 3 = w + 2*i, 24 - g = 4*w - 2*i. Suppose -2*k = -w*k + 159. Does 32 divide k?
False
Suppose -t = 3*q - 632, -3*t - q - 2*q + 1902 = 0. Does 14 divide t?
False
Suppose 2*r + r - 4*m + 1 = 0, 0 = 4*r - 4*m. Let j be (57/(-15))/(r/(-5)). Suppose -j*i = -14*i - 275. Is 11 a factor of i?
True
Let v = 25 - 4. Suppose q = 17 + v. Is 18 a factor of q?
False
Let z(d) = d**2 + 11*d + 6. Let s be z(-8). Let i be (-14)/63 + (-940)/s. Let h = 88 - i. Is 19 a factor of h?
False
Suppose 2*h = 4*h - 58. Let j = h + 1. Suppose -3*c + j = -0*c. Is 3 a factor of c?
False
Suppose 4 = -4*s, -5*q + 3*q = -2*s - 202. Does 13 divide q?
False
Suppose -2*s - 35 + 13 = 0. Let z be 2 + -1 + s/(-1). Let h(x) = x**2 - 10*x - 16. Does 4 divide h(z)?
True
Let w(t) = 221*t**2 + 51*t + 106. Is 8 a factor of w(-2)?
True
Let o(b) be the first derivative of 2*b**3/3 + 6*b**2 - 13*b - 70. Let v = -17 - -8. Is 9 a factor of o(v)?
False
Let z = -287 + 495. Is z a multiple of 42?
False
Let t(w) = 16*w**2 - 12*w + 6. Does 10 divide t(3)?
False
Let s(j) = j**2 - 2*j + 13. Let l be s(9). Suppose 4*o = -0*o + l. Is o + (-1 - -2)*-3 a multiple of 16?
True
Suppose -5*z - 25 = 0, -4*z - 2435 = 187*v - 188*v. Is 115 a factor of v?
True
Let b(t) = 3*t + 43. Let u be b(-15). Is (9/(-72)*u)/((-2)/(-568)) a multiple of 4?
False
Suppose 2 - 5 = -p. Suppose -2*j + 9 = -p*w, -2*j = 2*w + 2*j + 6. Let x = 7 - w. Is x a multiple of 7?
False
Suppose 0 = 3*u + u + 3*h - 11476, 4*u + 4*h - 11472 = 0. Is u a multiple of 19?
False
Suppose -64*j - 5*t - 339 = -68*j, -2*j - 4*t = -150. Is 9 a factor of j?
True
Suppose 0 = -3*b - 13*f + 16*f + 1218, 0 = -b - 5*f + 382. Is b a multiple of 93?
False
Let y be 3 - (-5)/(5/(-3)). Let n = y - -10. Is 17 a factor of (-5)/n*(0 - 34)?
True
Let z = 9 + -6. Suppose 4*f + 77 = z*f. Let m = -41 - f. Is 12 a factor of m?
True
Let m(s) = 6*s**3 - s**2 + 1. Let z be m(1). Let q be z/(-8) - 335/(-20). Let y = 34 + q. Is y a multiple of 10?
True
Suppose -2*x = -0*x + 3*c + 9, 2*x - 5*c - 15 = 0. Suppose x = -3*u - 0*u + 54. Is 11 a factor of -1*(3 + -1) + u?
False
Let x(f) = 25*f + 14. Let s be x(7). Let y = s + -115. Is y a multiple of 13?
False
Suppose -3*t = -2*l - 2*t + 230, -2*l = -3*t - 234. Suppose 3*h + 30 = l. Does 6 divide h?
False
Let q be (1 + 0)*(-14 - 8). Does 7 divide (-15)/(-15) - (1 + q)?
False
Suppose -10*d + 5672 = -928. Suppose -5*f + d = -c - c, 5*c = -2*f + 235. Is 15 a factor of f?
False
Let y(p) = -57*p - 3. Let k be y(-1). Let m = k - 42. Is m a multiple of 12?
True
Let u be (5 - -53) + 2 + -1. Let v = u - 54. Does 2 divide v?
False
Let f = 32 + -20. Let d be 16/6 + (-8)/f. Suppose -2*l = 0, l = 5*z - d*l - 85. Is z a multiple of 15?
False
Is 12 a factor of 12/9*(-3924)/(-24)?
False
Let l(f) = 11*f + 262. Is l(39) a multiple of 7?
False
Let d be 0 + 2 + 4 - (1 - -3). Is 26 a factor of ((-1)/d + 1)*(136 + -14)?
False
Let s = 23 - -57. Does 2 divide (4/14 - s/35) + 11?
False
Let v(w) = 10*w**2 + 10*w**2 - 13*w**2 - 3*w + 0*w. Is 32 a factor of v(5)?
True
Let y = 4 - 0. Suppose 2*b = -o + 29 - 169, y*o + 8 = 0. Let c = -13 - b. Does 14 divide c?
True
Suppose 474*l + 1485 = 477*l. Is l a multiple of 19?
False
Suppose 12*x - 380 = 17*x. Let r = -71 - x. Does 5 divide r?
True
Let a(r) = -r - 9. Let o be a(-10). Does 11 divide 318/2 - (o + -1)?
False
Let j be (26/(-3))/((-5)/(-30)). Does 11 divide (-4 + j/(-2))/((-3)/(-12))?
True
Let r(o) = -2*o**3 + 41*o**2 - 12*o - 9. Is r(19) a multiple of 6?
True
Suppose -y + 12 = y. Suppose -u - 4*s = -s - 6, -3*u + y = -3*s. Is (90 - -2 - u) + 0 a multiple of 18?
False
Suppose 2*g - 330 = -y - 90, 0 = -4*g - 4. Let x = y - 143. Is x a multiple of 11?
True
Let s(c) = -c**3 + 26*c**2 + 24*c + 83. Let u be s(27). Let i = 3 + 0. Suppose -5*z = -3*d + 140, u*z = -i*d - d + 178. Is d a multiple of 12?
False
Let x be (-8327)/33 - (-1)/3. Let j = -180 - x. Is j a multiple of 24?
True
Let j(n) be the third derivative of -n**4/12 - 8*n**2. Is j(-4) a multiple of 5?
False
Suppose 0 = 4*g - 22 + 2, -392 = -3*p + 2*g. Suppose 0 = -8*i + p + 34. Does 14 divide i?
False
Suppose 8*j - 3*a - 75 = 3*j, -5*a = 3*j - 79. Let o = -24 + j. Is 27 a factor of ((-10)/o)/(3/63)?
False
Let z = 57 + 6. Suppose -327 = -5*v + z. Is 13 a factor of v?
True
Let j(v) = -27*v - 14. Does 11 divide j(-1)?
False
Let q = 7 - 15. Let c(f) be the third derivative of -5*f**4/24 - 7*f**3/3 - 6*f**2. Does 13 divide c(q)?
True
Is 2 a factor of (-11)/(-33) + 3382/6?
True
Suppose -6*m + 253 - 31 = 0. Is m a multiple of 13?
False
Let y = 348 - 61. Is 9 a factor of y?
False
Suppose -15*a = -6*a - 36. Is 8 a factor of (5 - (-5 + a)) + 3?
False
Let x = -20 + 22. Suppose -x*a = 5*p - 200, a = -0*p - 5*p + 110. Is 15 a factor of a?
True
Suppose 35*i - 33*i = 4. Suppose h = -i*h - 4*d + 170, 0 = 3*h + 2*d - 166. Is h a multiple of 9?
True
Let d be 4*-1*75/(-60). Suppose 2*x + s = 14, -d*s - 2 = 2*x - 0*s. Does 2 divide x?
False
Let r = 210 - -1134. Does 27 divide r?
False
Let a(s) = s**3 - 4*s**2 - 5*s + 11. Let u be a(6). Suppose i = -2*p + u, -i - 69 = -3*p + i. Does 8 divide p?
False
Suppose -94 - 489 = -3*u + 2*a, 0 = 5*u + 4*a - 979. Is 5 a factor of u?
True
Let u(a) = 2*a**2 + 27*a + 270. Is u(-18) a multiple of 18?
True
Suppose 4*t = 150 + 106. Suppose 0 = 4*d - t - 64. Is d a multiple of 12?
False
Let v be (0 - 158)/(-1) - 1. Let k be (-3)/(-2) - (-48)/(-32) - -5. Suppose k*r - v + 32 = 0. Does 6 divide r?
False
Let c(x) = 143*x**2 - 2*x - 1. Let z be (-3)/(-9)*-3 - 0. Does 16 divide c(z)?
True
Suppose -26 = o - 3*o. Let y = 16 - o. Is 69 + (8 - -1)/y a multiple of 12?
True
Let z be 78/(-54)*5 + 4/18. Let g(d) = 2*d**2 + 14*d + 21. Does 7 divide g(z)?
True
Let q(z) = -7*z**2 + 10 - 7*z**2 + 2*z + 7*z + 15*z**2. Is 20 a factor of q(-10)?
True
Suppose 3*o + 7 - 16 = 5*z, 4*o = 3*z + 12. Suppose 166 = -o*k - 2. Let w = k + 150. Is w a multiple of 32?
False
Suppose 3*c + 6 = 5*d + 1, 3*c - 3*d = -3. Suppose 3*g - 5*x - 139 = c, 6*g - g - 236 = 4*x. Is 12 a factor of g?
True
Suppose -4*s + 348 = 40. Suppose -52*q - s = -53*q. Does 14 divide q?
False
Let b = -187 - -274. Is 79 a factor of b?
False
Let u(h) = 4*h - 10. Let m be u(6). Is 836/m - 24/(-84) a multiple of 12?
True
Suppose -4*j - 476 = -2*c, j + 2*c = 2*j + 116. Let m = 12 - j. Does 11 divide m?
True
Suppose -2*q = -g + 6*g + 22, -4*q - 5*g = 44. Let j be (q - 1)*(-316)/16. Suppose -j = -3*a - 39. Does 14 divide a?
False
Let z be 8*(-1 - 9/(-6)). Suppose -z*r - 12 = -0*r. Is 17 a factor of (-76)/r - (-6)/9?
False
Let r = 879 + -519. Is r a multiple of 10?
True
Let s(m) = 2*m - 3. Let b be s(3). Let h(f) = -f**3 + 4*f**2 - f - 3. Let k be h(b). Suppose 0 = w - 5*l - 4, -w - k*w | {
"pile_set_name": "DM Mathematics"
} |
+ 240885. Let f be b(0). Suppose k - f = 30877. Suppose -8*j - k - 79438 = 0. Round j to the nearest ten thousand.
-40000
Let k = 165 + -171. Let w(c) = -30648*c**3 + 2*c**2 + 7*c + 2. Let o be w(k). Round o to the nearest one hundred thousand.
6600000
Let a(m) = 353803*m - 3. Let r be a(1). Let h = r + 15200. What is h rounded to the nearest one hundred thousand?
400000
Let y = 143 + -259. Let o = 115.999302 + y. What is o rounded to five decimal places?
-0.0007
Suppose 13*u - 54600 = -u. Suppose 0 = 230*f - 226*f + u. What is f rounded to the nearest 100?
-1000
Let o = -43035778.01302 - -43035206. Let r = o - -572. What is r rounded to 4 dps?
-0.013
Suppose 38*o = 63 + 13. Suppose 0 = 3*h - 4*m - 74009996, 2*h - 6*h + 98679998 = -o*m. Round h to the nearest 1000000.
25000000
Suppose 3*c - t = 8, -1 = -c + 4*t + 9. Let z = 1214 + -1211. Suppose -2*r + 23258 - 855 = z*n, 0 = -c*r + 2*n + 22398. Round r to the nearest one thousand.
11000
Let m = 904863718 + -904864192.000033. Let r = m - -474. What is r rounded to 6 dps?
-0.000033
Let u = -133986 - -133985.42447. What is u rounded to three decimal places?
-0.576
Let q = -0.869 + 6.408. What is q rounded to the nearest integer?
6
Suppose -2*o - 5*z + 557890 = 0, 4*o + z + 240212 = 1355938. Round o to the nearest one thousand.
279000
Let t = -15 - -112. Let a = 241.9431982 + -338.943194. Let q = t + a. Round q to 6 dps.
0.000004
Suppose 4 = -2*l, 23*d - 21*d - 4*l + 21978 = 0. What is d rounded to the nearest 100?
-11000
Let r = 5511 + -5510.449. What is r rounded to 1 decimal place?
0.6
Let h = -37.04 - -0.04. Let t = 66 + h. Let z = t - 28.825. Round z to 2 decimal places.
0.18
Let l = -20277 - -20277.0000030318. Round l to 7 dps.
0.000003
Let r be 2/1 + (-4 - 0) + 5. Suppose -2 = -u - a, -3*u + 2 = r*a - 4*a. Let p be -7499 + 1 + (-8 + u - -5). Round p to the nearest one thousand.
-8000
Let n be (401736/266)/((-4)/70). Let m be (75/(-9))/((-20)/n)*80. What is m rounded to the nearest one hundred thousand?
-900000
Let d = -1619 + 1610.6. Let t = 61 + -35. Let g = t + d. Round g to the nearest integer.
18
Let z = -42709.00072102 - -42709. Round z to 4 decimal places.
-0.0007
Let x = -8321.2 - -6274. Round x to the nearest 100.
-2000
Let h = -0.026 - -0.0592. Let l = h + -0.033199174. What is l rounded to seven decimal places?
0.0000008
Let r = -378.408 - -0.408. Let d = 377.999998932 + r. What is d rounded to seven dps?
-0.0000011
Suppose 3*u + 2*y - 503 = 0, 0 + 2 = 2*y. Suppose -u*v + 266700000 = -160*v. What is v rounded to the nearest 1000000?
38000000
Let k = 6.117 - 56.343. Round k to 0 dps.
-50
Let h = -48 + 172. Let p = -136.5 + h. Let u = -12.4928 - p. What is u rounded to three dps?
0.007
Let g be 139946412/22 - ((-920)/(-6325) - 2/(-5)). What is g rounded to the nearest one hundred thousand?
6400000
Let k = 149.5 - 158. Let y = -8.5468 - k. Round y to 3 dps.
-0.047
Let b be (58282 - -3)*(-12 + 16). What is b rounded to the nearest 10000?
230000
Let x = 17.3126 + -17.3. Let c = x + -0.01261385. What is c rounded to six decimal places?
-0.000014
Let t = 51.33 - -2082.67. Let b = -2248.7 + t. Let y = b + 106. Round y to the nearest integer.
-9
Let w = 16.332 - 3806.832. Round w to the nearest ten.
-3790
Suppose 0 = 75*n + 41*n + 11047072738 - 3241432738. Round n to the nearest 1000000.
-67000000
Let u = -172 - -173.44. Let l = u + -1.439999713. What is l rounded to seven decimal places?
0.0000003
Let p = 0.2272 + 0.8818. Let c = p + 0.181. What is c rounded to one dp?
1.3
Let w(a) = 18781*a - 43. Let t be w(14). Let r = t - 121691. Round r to the nearest 10000.
140000
Suppose f - 260 = 2615. Suppose 5*a - 680 = -f. Let t be a - (6/(-3) + 4). What is t rounded to the nearest one hundred?
-400
Suppose 16*l + 375 = l. Let g = 33 + l. Suppose 86000 = 6*a - g*a. Round a to the nearest 10000.
-40000
Suppose 5*s - 4*l = 7087488 + 319053, 5*s + 3*l - 7406548 = 0. Suppose 35*t - 3716191 = s. What is t rounded to the nearest ten thousand?
150000
Let l = 18 - 18.148. Let j = 30979348 + -30979347.85199813. Let t = j + l. Round t to 7 decimal places.
0.0000019
Let x = 51 - 51.28. Let p = x - -0.27912. Round p to 4 dps.
-0.0009
Let p be -2*(4032743 - -3) + (-19 - -11). What is p rounded to the nearest one million?
-8000000
Let z = 2110.06 - 2375. Let l = z - -275. What is l rounded to 0 dps?
10
Let l = -0.0531 + 22.0531. Let c = 137844470.9999998 + -137844449. Let m = l - c. What is m rounded to seven decimal places?
0.0000002
Let w = -8.539 - -6.9928. What is w rounded to one decimal place?
-1.5
Let m = -135.0799 - -135. Let t = m + -0.0721. Round t to the nearest integer.
0
Let p = 2737 - -7221. Let s = -9957.93969 + p. Let x = s + -0.0574. What is x rounded to 4 dps?
0.0029
Let v = -362 - -432. Let t be 675993 + (-10)/(v/(-49)). What is t rounded to the nearest 10000?
680000
Let s = 2625 - 2650.909. What is s rounded to the nearest integer?
-26
Let t = -16188.93782 - -16188. Round t to one dp.
-0.9
Suppose -4*t = -3*c - 9168014, 5*c + 15280029 = 4*t - 3*t. Let z be c/(-16) - (-51)/(-136). What is z rounded to the nearest 100000?
200000
Let u = 93.6903751 + -93.69. Round u to 5 dps.
0.00038
Let g = -77634 - -77634.0227138. What is g rounded to 4 dps?
0.0227
Let s = -2348 - -2348.0000023261. What is s rounded to 7 dps?
0.0000023
Suppose -4*k + 13439 = -0*b - b, 2*k = -3*b + 6709. Suppose -7*f + k = -3655. Suppose r = -4*n + 11285, n - 4*r = f + 1798. Round n to the nearest 100.
2800
Let w = -1119.24 - -1050. What is w rounded to zero dps?
-69
Let i(p) = 126*p + 45. Suppose 16*v = 140 - 12. Let u be i(v). Round u to the nearest one hundred.
1100
Let w = -100890 + 100759.114. Let i = -129 - w. What is i rounded to one decimal place?
1.9
Let j = 2979.85 + -2986. Round j to the nearest integer.
-6
Let z = -1.241 + 827.241. Let f = z + -819.82. Round f to 0 dps.
6
Let w(n) be the third derivative of -105650*n**6/3 + n**5/20 - n**4/8 - n**3 - 81*n**2. Let s be w(-1). What is s rounded to the nearest 1000000?
4000000
Let p be (5/(-30)*-10 + -1)*21. Suppose 5868 = p*z - 18*z. Round z to the nearest 100.
-1500
Let c(t) be the second derivative of -44661*t**3/2 - 19*t**2/2 - 10*t. Let a be c(4). Let h = a + 1775951. Round h to the nearest 100000.
1200000
Let x = 23314065345.0000763 + -23314067197. Let p = 1852 + x. What is p rounded to 6 decimal places?
0.000076
Suppose m = -2*t - 4, -2*t = 3*t - 3*m + 10. Let b be (3 - -537498 - (1 + 1)) + t. Let y be (-2 + -6)*(b + 3). Round y to the nearest one million.
-4000000
Let z = 224.667 + -19.407. Round z to the nearest 100.
200
Let l = -11.375099 - 0.245801. Let i = l - -11.5. What is i rounded to 2 decimal places?
-0.12
Suppose -4167072 = 37*v + 26*v. Let j = v - -116834. Round j to the nearest 10000.
50000
Let v = -74.301769 + 74.3. What is v rounded to 4 decimal places?
-0.0018
Let m = -34623850 - -49603850. Round m to the nearest 100000.
15000000
Let q = 610593 + -922713. What is q rounded to the nearest one hundred thousand?
-300000
Let q = -290.1 + 290.0996453. What is q rounded to 3 decimal places?
0
Let k = 333.25 - 418.9. Let a = k - -91.547. Let h = a - -0.343. Round h to the nearest integer.
6
Let v = -969 - 25. Round v to the nearest 10.
-990
Let n = -6.7 + 6.519. Let y = -54.419 + n. Round y to the nearest ten.
-50
Let p = -120848 + 20888. Let q = p + 224360. Round q to the nearest 1000.
124000
Let t = 31 - 31. Suppose -5*s + 2297 = -d - 37304, -d - 1 = t. Round s to the nearest one hundred.
7900
Let p = 36 - 22. Suppose 0 = p*y - 8*y. Suppose 4*q = 4*r - r - 327994, y = -5*q - 3*r - 410006. Round q to the nearest ten thousand.
-80000
Let w = -18793.2757 + 18791. What is w rounded to one dp?
-2.3
Let n(j) = 2*j**2 + 2*j - 2. Let v be n(3). Let p = 3161172 + 338828. Suppose p = -17*m + v*m. What is m rounded to the nearest 100000?
700000
Let k = -36627.025729 + 36627. What is k rounded to four dps?
-0.0257
Let k(b) = 4868*b + 88. Let h = 220 + -236. Let f be k(h). Round f to the nearest ten thousand.
-80000
Let n be (-2 + 0)/(14/(-273)). Suppose -1677 = 11*d - 11907. Let h be -2 - d/n - (-10)/(-65). Round h to the nearest integer.
-26
Let q = 0.228686 + 4.248934. Let u = q + -0.04062. What is u rounded to one dp?
4.4
Let r = 36344357 - 36344707.99 | {
"pile_set_name": "DM Mathematics"
} |
be h(o). Let r be (a/6)/((-7)/21). Solve -g - 2*g - 6 = -r*p, 2*g - 3*p = -4 for g.
-2
Let f = 7 + -5. Suppose f*r = 3 + 5. Solve 0 = -r*s - 4*y + y, s = -5*y - 17 for s.
3
Suppose -2 + 0 = -2*k. Let b(r) = 4 - 5 - k + 0 - r. Let u be b(-4). Solve -4*s = 3*i + 4 + 4, 5*s + 10 = -u*i for i.
0
Suppose 6 = 7*m - 5*m. Solve 2 = 2*a + 4*q, 5*q - m = -a - 2 for a.
1
Suppose -3*j + 2 = -x - 0, 5*x + 10 = -4*j. Solve -2*n - 4*z - 26 = 0, j*n + 4*z = n - 11 for n.
-5
Let r(t) = -t**2 - 15*t + 2. Let b be r(-15). Solve b*g + 5 = 3*x, 0 = -4*x + 3*g - 3 + 8 for x.
5
Suppose 4*z = -z + 15. Let m = 7 - z. Solve -2*t - t + 6 = -3*r, 3*t = 5*r + m for t.
3
Suppose 0*z - 2*z = 2*t + 6, -13 = 3*t + z. Let c be 2/t + 82/5. Solve 2*f + 3*d + 8 = -0*d, 2*d + c = 4*f for f.
2
Suppose 0 = -5*c + 10*c - 35. Suppose 5*j - c*j = -26. Solve 2*d - 5*w + j = 0, d + 1 = -3*w - 0 for d.
-4
Let l be (-1)/(((-7)/(-6))/7). Let k be (24/(-18))/(4/l). Solve 0 = 5*t - 15, -3*j - k*t = t - 12 for j.
1
Let q = 42 - 24. Suppose q = 5*r - 2. Suppose 0 = 4*b + a - 5*a - r, -3*a = -6. Solve b*s - 2 = z, 3*s + z + 4 = -z for s.
0
Suppose -71 + 27 = -4*x. Let l = 19 - x. Solve 2*y = 3*q + 10, 12 = -5*q - l for y.
-1
Let d = -16 - -19. Solve -2*h + d*a + 3 = -7, 5*h + 3*a = 4 for h.
2
Let q = 5 - 2. Let f be 0 - (-4)/q*3. Solve 5*l = -4*d - 19 - 2, 0 = -3*d + f*l + 23 for d.
1
Let d(m) = 3*m + 1 - 6*m - 5 + m. Let n(x) = -x**2 + x - 4. Let o be n(0). Let a be d(o). Solve 4*q + g + 15 = a*g, -q - 5 = -g for q.
0
Suppose -4*x + 4*d + 192 = -260, 4*x - 2*d = 446. Let l = x - 75. Solve 5*g - 5*k = l, 1 = -g - 4*k - 7 for g.
4
Suppose 7*l + 2 = 23. Solve 0*c - 3 = g + c, -l*c - 10 = 2*g for g.
1
Let r be (24/9)/(6/9). Solve -3 = -3*a - 0*a + 3*s, s = -r*a + 14 for a.
3
Suppose i - 5*y - 4 = 0, 3*y + 14 + 2 = 4*i. Solve 0 = -2*p + 6*p + 3*b - 3, 2*p + i*b - 4 = 0 for p.
0
Suppose q - 5*q = -0*q. Solve 5*l - h = -q*l + 11, -11 = -4*l + 3*h for l.
2
Let r be -2*20/24*-3. Suppose r*o - 24 + 19 = 0. Solve -b - o = l + 2, 2 = 4*b - 3*l for b.
-1
Let m(k) = k**2 - k + 5. Let d be m(0). Suppose 4*p = 3*y + 99, -d*y - 36 = -5*p + 94. Solve -3*o + p = 3*u, 3*o - 5*u + 2 - 7 = 0 for o.
5
Suppose -9*d + 36 = -9. Solve -v + 9 = v - f, d*f + 10 = 3*v for v.
5
Suppose t = 2*g - t - 10, 0 = -g + 3*t + 3. Let a = 7 - g. Solve -4*y - 12 = 0, -4*l - 4*y + a = -3 for l.
4
Let s(p) = -p**3 - 5*p**2 - p - 1. Let o be s(-5). Let z be (-3)/(12/(-248)) + 2. Suppose -3*f + z = o. Solve 2*i - 3*n = 0, -5*i + f = 4*n - 3 for i.
3
Let k = -30 + 40. Solve 2*n - k = 4*x + 16, -2 = -4*n - 2*x for n.
3
Let c be (0 + 0)/(0 + 1). Let o(t) = -t - 1. Let q be o(-7). Suppose -2*a + q = -c. Solve 5*g + 3*y = 5*y + 24, -a*y = -3*g + 18 for g.
4
Let t(q) = q + 3. Let k be t(0). Let z = 1 + k. Let w(u) = -2*u**3 + 1. Let h be w(-1). Solve -z*p + y = -8, h*p - y = 1 + 5 for p.
2
Let o be 2*(-2)/(-8)*6. Let z be 5 - (0 + 1) - -1. Solve o*h + 2*k = -2*k - 28, z*h = 5*k for h.
-4
Let k be (-20 - -19)*2/6*-9. Let s(v) = 5*v - 1. Let c be s(1). Suppose f - 2*x = -3*x, 5*x = -f. Solve f = -6*p + k*p - c*i, -19 = -p + 5*i for p.
4
Suppose 22 = 2*n + 4*y, 0 = n + n - 4*y - 30. Suppose -5*k - 5*s + 11 + 24 = 0, -3*s + n = k. Solve -4*m - m - 2 = -o, 8 = 4*m - k*o for m.
-1
Let z = 52 + -29. Solve 0 = -x + 3*f - 1, -z = -5*x - 5*f - 8 for x.
2
Suppose -1 = 4*x - m - 21, -5*m - 20 = 0. Let u be 9 + x/(-2) - 2. Solve 0 = -u*q - 3*h + 19, 2*q - 5*q + 21 = -3*h for q.
5
Let j be (-7 - -5) + (-6)/(-2). Let y be 7 - (2 - j - -2). Solve 2*a = -3*n + 10, a = y*a - 3*n - 15 for a.
5
Let w(k) = 1 - k**2 + 0 + 0*k**2. Let d be w(0). Solve 3*y = l - 4, -4*l + 2 = y - d for l.
1
Suppose 4*l = 4 + 12. Suppose -3*v - 6 + 3 = 0. Let x be (-2 + -1 + -2)*v. Solve x*h - 4*o + 25 = -9*o, l*o = -4 for h.
-4
Let s(y) = 2*y + 1. Let k be s(1). Suppose -2*m + 40 = k*m. Solve -3*c = 3*t + 15, -2*c = -4*t - 4 + m for c.
-4
Let r = 9 - 12. Let g(w) = -3*w**2 - 3*w. Let v be g(r). Let k = -13 - v. Solve 4*z + 5*h - 1 = 0, -z + k*h + 0 = 6 for z.
-1
Suppose 0*z = -4*z + 12. Let x(d) = 2 + d**2 + 0*d**2 + 3*d - 2*d**2. Let o be x(z). Solve -w = -r - 1, 0 = w + o*w for r.
-1
Suppose -4 = -5*n + 6. Suppose 0*m = m + b + 1, 2*b = 2*m - 10. Solve 4*q - m - 14 = n*z, 20 = -2*z + 5*q for z.
0
Let z(k) be the third derivative of k**6/120 + k**5/20 - k**4/24 + k**3/6 - 4*k**2. Let a be z(-3). Solve -p = 2*j - 14, -2*j - 4 = -6*j + a*p for j.
5
Suppose -4*z = m + 9, -3*m + 4*z + 1 = 12. Let h be -1*(m - (-3 - -1)). Solve d = o - 0*o - 4, -h*o - 12 = 5*d for o.
1
Let r be (-3)/(-2 + (-11)/(-7)). Let p be 33/(-7) - 4/14. Let b = p + r. Solve 4*t + o - b = 4*o, -o + 12 = 5*t for t.
2
Suppose -11 = 5*y + 14. Let w(x) = -x**3 - 5*x**2 + 2. Let p be w(y). Solve 0 = -3*s - d + p*d + 16, 2*d = -s + 3 for s.
5
Suppose -5*n + 6*n = 5*a + 34, 20 = -5*a. Solve q = 4*v - n, 2*q - 2*v = 3*q - 4 for q.
-2
Suppose -4*o + 7*o = 9. Suppose -o*b = -4 - 5. Solve -b*t - 2*w = -0*t + 9, 5*t = 3*w - 34 for t.
-5
Let t = -9 - -9. Suppose -18 = -5*q - 2*g, t = 4*g - g - 12. Solve 2*v = q, -j - 11 = -5*j + v for j.
3
Suppose -r = -3 - 22. Solve -6*m + d = -m + r, d = -5*m - 15 for m.
-4
Let v(b) = 9*b - 2*b**2 + b + 0 - 6. Let a be v(6). Let p = a - -26. Solve 3*i - y - y + 4 = 0, -2*y = p for i.
-4
Let z be (16/(-14))/((-2)/7). Let m = -12 + 17. Solve v + z + 14 = -4*o, -m*o - 27 = -v for o.
-5
Suppose -9*v = -4*v - 80. Let q = v - -2. Solve -q = 5*a - 3*d + 2*d, 4*d - 12 = 0 for a.
-3
Let c(l) = 2*l - 5. Suppose -2*h = 4*u - 22, -29 = 3*u - 8*u - 4*h. Let o be c(u). Suppose f - o*f = -8. Solve f*a + 4*g = 2, 2*g - 3*g - 2 = -2*a for a.
1
Let v(p) = -2*p - 6. Let y be (5 + -2 + 2)/(-1). Let z be v(y). Solve 4*s = 3*m - 18, 5*s + 25 = 3*m + z for m.
2
Suppose -6*p + k = -2*p - 14, k - 6 = -p. Solve j - 3*q = -5*q + 6, p*j - 15 = -5*q for j.
0
Let m be (-245)/(-20) + (-1)/4. Suppose -5*j = -37 + m. Solve -j*f + 21 = w, 4*f - 2*w = -w + 15 for f.
4
Suppose 4*x = 5*b + 6, -2*b + 14 = -5*b + 5*x. Let s be (-10)/(-3)*(b + 4). Solve 4*q + 0*j = -j + s, -4*j = 0 for q.
5
Let l(r) = -r**2 + 6*r + 1. Let q be l(6). Let g = 3 - q. Solve 0 = 2*y - g*a - 0 + 2, -y = 4*a - 24 for y.
4
Suppose -u - 16 = -0*s + 4*s, -2*s = 4*u + 8. Suppose -6 = -2*x - u*x. Solve r + x*g = -2*r - 6, 2*r = -3*g - 5 for r.
-1
Let h be -1 - (-9 + 3 + 0). Solve 4*r = 3*t - 5*t + 8, 0 = -h*r - 4*t + 4 for r.
4
Suppose 0 = -2*r - 3*r + 175. Suppose -3*w - w + 2*j = -4, -10 = 3*w + 5*j. Solve -4*l = -4*d, -2*d = -w*d + 5*l + r for d.
-5
Suppose y + 4*i = -y + 26, 5*i - 16 = 3*y. Solve -14 = -4*c + y*w, -c - w + 10 = -5*w for c.
2
Let h = -3 + 6. Suppose h + 1 = f. Suppose f*b + b = 20. Solve -3*w + b*k - 21 = 0, 0 = 5*w - 0*k - 2*k + 21 for w.
-3
Let m(q) = -q**3 - 3*q**2 + 5. Let l be m(-3). Solve -l*w = -n - 26, -5*n - w = -4*w + 20 for n.
-1
Suppose 0 = 2*l - 4*n - 8, l + 16 = 5*l - 5*n. Solve 3*h = -3*g + 9, -g - 6 + 24 = l*h for g.
-2
Suppose -7*t = -3*t - 4*s, 2*s - 8 = -2*t. Solve 4*a + 25 = 5*o, -t*o + 2*a + 12 = -0*o for o.
1
Let k(g) = 4 - 4 + 0 - g - 2. Let q be k(-3). Let o be q/2*(-6 - -16). Solve 3*h + 1 + 3 = -x, 16 = -o*h + 3*x for h.
-2
Let g = 2 + -1. Suppose -4*l = -7 - 9. Solve -g = 2*y + i - 6, -5 = -l*y - 3*i for y.
5
Suppose 7 = 4*n - 5*q - 21, 0 = 3*n - 4*q - 20. Solve -4*z - 4*h = n, 2*z - h - 2*h = -11 for z.
-4
Suppose 2*l + 5*a = 25, -a - 20 = -5*a. Solve 13 = -5*k - d + 4*d, 5*k + 4*d + 41 = l for k.
-5
Let h be 32/(-4)*1/(-2). Solve -4*b + l + 18 = 0, h*b - 3*l = 2*l + 10 for b.
5
Suppose 9*w = 5*w + 8. Let x be (-4)/3*9/(-6). Solve 0 = l + x*s - 3, -5*l - 5*s - 13 = -w*s for l.
-5
Let f be 1*-1*9/3. Let t be f - (-1 - (-2)/(-1)). Solve -k = -0*g + g + 8, -3*k - 15 = t for g.
-3
Suppose 5*h = -4*o + 6*o + 4, 3*o - 5*h = 4. Let n be 18/4 - (-4)/o. Solve -4*r + 0*c - n*c = 16, -3*c - 17 = -5*r for r.
1
Let r(g) = 3*g - 5. Let h be r(3). Solve 0 = -5*k - 5*q + 10, h*q + 15 + 4 = 5*k for k.
3
Let w be (-3)/6*52*-1. Let k be 386/w + (-6)/(-39). Solve 2*h + 2*d + 2*d - 10 = 0, k = 2*h + 5*d for h.
-5
Let i(g) = 2*g**2 + g. Let c be i(-3). Suppose -c = -5*f + 2*f. Let k be (-2 + f)*1 - 1. Solve -4*m + 3*t + 5 = 0, t + k = 3 for m.
2
Let i = 9 - 5. Suppose 4*j - 11 - 12 = -5*h, j = h - 1. Suppose h*g + 21 = 72. Solve -d | {
"pile_set_name": "DM Mathematics"
} |
n the form p*a + w and give p.
58
Rearrange -7 + 0 + q**2 + 10 to x + m*q + i*q**2 and give x.
3
Express 2 - 2*j - 29*j**3 + 31*j**3 + 3*j - 3 as m*j**3 + v*j**2 + r + a*j and give m.
2
Express 2*p**2 + 14*p**3 - 1 - 11*p**3 - 2*p**2 - 15*p in the form n*p + y + r*p**3 + b*p**2 and give r.
3
Express 5*s**2 - 2*s**4 + 11*s**2 - 3 - 15*s**2 + 2*s**3 in the form o + d*s**2 + m*s + u*s**4 + l*s**3 and give u.
-2
Express 200*h + 0*h**2 - 200*h + 3*h**2 + 6 in the form c*h + x*h**2 + p and give p.
6
Express 6*c**2 + 6*c**3 - 6*c**2 + (-3*c - 9 + 9)*(c**2 + 2 - 2) as y*c**3 + j*c + w*c**2 + k and give y.
3
Express (2*i - 3*i + 2*i)*(3*i**3 + 2*i**3 + 0*i**3) - 5*i**2 - i**2 + i**4 + 4*i**2 as c*i**3 + t*i + j + n*i**4 + b*i**2 and give b.
-2
Rearrange -9*m + 7*m + 1 + m + 2 to the form f + n*m and give f.
3
Rearrange (-3 + 8*j**2 + 3)*(0*j - 2*j + 4*j) to k + l*j + x*j**2 + y*j**3 and give y.
16
Rearrange (-2*i**3 + 2*i**3 - 2*i**2 - 2*i**3)*(-8 + 19 + 24) + 3*i**3 - 4*i**3 + 2*i**3 to the form q*i**3 + m*i**2 + r + c*i and give q.
-69
Rearrange (2*n**2 + n**2 - n**2)*(n**2 + 0*n**2 + n**2) + (15 + 5 - 1)*(2 + 2*n**4 - 2) to the form k*n**4 + x*n**3 + s*n + a + l*n**2 and give k.
42
Rearrange (0*r - 5*r + 3*r)*(4*r - r + 5*r) + 4*r**2 - 2*r**2 - 3*r**2 to the form i + j*r**2 + g*r and give j.
-17
Rearrange 362 + 109*o - 362 + 2*o to the form p + v*o and give p.
0
Express (-12*s + 6*s - 9*s)*(3 - 3 + 5*s) in the form w + r*s + n*s**2 and give n.
-75
Express 21*j - 79 + 79 as z*j + q and give z.
21
Express (5 - 5 + 6*l)*(-2*l + 3 + 0*l + 0) in the form i*l**2 + g + n*l and give i.
-12
Express 38*i + 92 - 48 - 44 - i**3 in the form d*i**3 + s + c*i**2 + h*i and give d.
-1
Rearrange (-9*m + 11*m + 21*m)*(-6*m**2 + m**2 + 3*m**2 - 2*m**3) to the form p*m**3 + f*m**4 + s + o*m**2 + h*m and give h.
0
Rearrange -b + 0*b**2 - b**2 - 3*b**2 + 6 - 13 to f*b**2 + s*b + i and give f.
-4
Express (0 + 2 - 6)*(0 + 2 - 1)*(2 + 0 + 1)*(-3 + y + 3) as z*y + n and give z.
-12
Express -3*v**3 - 2*v - 10*v**3 + 4*v - v**3 as o*v + i*v**2 + f + b*v**3 and give b.
-14
Express (166 - 4*v - 166 + 167*v)*(-v**2 - 4 + 4) in the form w + m*v**2 + i*v**3 + j*v and give i.
-163
Rearrange (-g + 0 + 0)*(-46 + 46 - 43*g + (g + 0*g - 3*g)*(2 - 3 + 2)) to the form u*g**2 + a*g + j and give u.
45
Rearrange (-1 + 6*v - 3*v - 5*v)*(-2*v - 3*v + 4*v) to the form w*v**2 + q*v + l and give q.
1
Rearrange (-2*k**2 - 2*k**2 + 0*k**2)*((-2 + 3 + 1)*(-2*k + 0*k + 0*k) + 2 - 2 + k) to w*k + q + v*k**3 + r*k**2 and give v.
12
Express -b + 2*b - 5*b + 0*b in the form p + j*b and give p.
0
Express -1 + 17*n**2 - 9*n**2 - 2*n**2 in the form d*n + v + h*n**2 and give v.
-1
Express (-1 + 3 - 4)*(6 - 6 + 2*f) in the form n*f + q and give q.
0
Express (0 - 2 + 0 + (1 - 1 - 1)*(-2 + 0 + 0) + (1 - 5 + 0)*(-4 + 2 + 3))*(-3*v - v - v) as d*v + k and give d.
20
Rearrange -13*p + 7*p + 14*p + (2 + 1 - 2)*(-2 + 2 - p) to the form y*p + s and give y.
7
Express -61 - 18*p + 61 + (-p + 0*p - p)*(-1 + 0 - 1) as l + a*p and give a.
-14
Rearrange -5*s**3 + 2*s**3 + 2*s**4 - 2*s - 6*s**4 + 2*s**4 to the form c*s + r*s**2 + k*s**3 + i*s**4 + p and give i.
-2
Express 2*f**2 - f**2 + 2*f**2 + 3*f**2 in the form y*f + o + s*f**2 and give y.
0
Express -9*m + 49 - 18 + 8*m as w*m + g and give w.
-1
Express (16 - 25 + 12)*(-1 + 1 - d) + (0 + 0 - 2)*(2*d + 2*d - 2*d) in the form j + r*d and give r.
-7
Express 5*k**3 + k**4 + k - 5*k + 5*k + 2*k**2 as c + q*k**3 + g*k + j*k**4 + u*k**2 and give q.
5
Express -41*z**3 + 3*z**4 + 81*z**3 - 33*z**3 + 1 as u*z**4 + l*z + x + c*z**2 + b*z**3 and give b.
7
Rearrange 0 - n**2 + 3*n**3 - 2*n**3 - 3 - 1 to the form l*n**2 + d + f*n + c*n**3 and give l.
-1
Express (-2 + 4 - 3)*(0*p - 2*p + p) + 952 + 15*p - 952 - 2*p + 0*p + 4*p in the form m*p + a and give m.
18
Rearrange 10*g**2 - 2*g**2 + 4*g**2 to the form n + w*g**2 + v*g and give n.
0
Rearrange 0*f**2 + 2*f + 3*f**2 - 21*f**3 + 19*f**3 to l*f + o*f**3 + w*f**2 + a and give o.
-2
Express (-4*n + 3*n + 3*n)*(-7 + 20 - 15) + n - n - 2*n + n - 6*n + 3*n + (6 - 2 - 3)*(-4*n - 2*n + 5*n) as c*n + w and give c.
-9
Rearrange (-2*k + 1 - 1)*(-2*k + k**2 + 2*k) - 6*k**3 - k**3 + 5*k**3 + 2 + 2*k**3 - 2 - 30*k + 37*k - k**3 - 4*k**3 to v*k**2 + r*k**3 + x + g*k and give g.
7
Express (-1 + 1 - 3)*(0 + 5 - 2)*(4*s + 7*s - 3*s) in the form b*s + d and give b.
-72
Rearrange 9*s + s - 30*s - 20*s to the form m + j*s and give j.
-40
Express 34 - 34 - 44*o in the form q*o + u and give q.
-44
Express (-7*q + 5*q**4 + 7*q)*(4 - 3 - 2) in the form g*q**2 + d*q + b*q**4 + x*q**3 + l and give b.
-5
Express -118 - r**2 + 88 - r - r in the form i*r**2 + p*r + h and give i.
-1
Rearrange -c + 3*c + 10*c**3 + 11 - 12*c**3 to a*c**2 + f + n*c + w*c**3 and give n.
2
Express 8 + 4*m - 3*m + m in the form p + s*m and give p.
8
Express -5*r**4 - 163*r**3 + 2 + 8*r**4 - 2*r**2 + 160*r**3 as i + h*r + f*r**4 + p*r**2 + d*r**3 and give f.
3
Rearrange 33*u + 614 - 614 to b + q*u and give q.
33
Express 20 + 18*v + v**2 - 9 - 13 + (3*v + 1 - 1)*(-2*v + 0*v + 3*v) as h*v + g + w*v**2 and give h.
18
Rearrange (3*l + 2*l - 4*l)*(1 - 5 + 1) - 4*l - l + 9*l to the form t + g*l and give g.
1
Rearrange 1962 - 32*i - 1962 to the form p + o*i and give o.
-32
Rearrange (-3*q**3 + q**3 - 5*q + 3*q)*(q - 2*q + 2*q) - 9*q**4 - 3*q**4 - 2*q**4 to the form o*q**2 + a + u*q + f*q**4 + i*q**3 and give o.
-2
Rearrange 2 + 8*n**3 + 3*n - 3*n + 113*n**2 - 115*n**2 to the form y + j*n + z*n**2 + b*n**3 and give y.
2
Express (2 - 1 - 3)*(-3*u - 2 - 8*u + 5*u) + 2*u + 3 - 3 + (-3 + 1 + 3)*(1 - 1 + u) + 2*u - 2*u + 2*u as f + r*u and give f.
4
Express -16*b**2 - 3*b + 18*b**2 + 5*b - 3*b + 6 + 2*b**3 in the form t + q*b**3 + y*b + w*b**2 and give w.
2
Rearrange (-68 + 68 - 5*l**2)*(3*l**2 + 0*l**2 - 2*l**2) + (0*l**2 - 3*l**2 + 2*l**2)*(4*l - 4*l - 2*l**2) to w*l**3 + d*l**4 + j*l**2 + x*l + t and give d.
-3
Rearrange 3*u**4 - u**4 + 7*u + 2 - 2 + 2*u**2 to the form l + z*u + g*u**4 + t*u**2 + j*u**3 and give g.
2
Rearrange (-7 + 10*d + 7)*(-1 - 5 + 5) to r*d + n and give r.
-10
Rearrange (w**2 + 2*w**2 - 4*w**2)*(-4 + 2 - 4) + w - 7*w + w**2 - 3*w to s*w + h*w**2 + y and give h.
7
Rearrange q**3 - 11*q**3 - 1 + 8*q**3 + q**4 to w + c*q + u*q**3 + n*q**4 + b*q**2 and give w.
-1
Rearrange (5 - 4 + 0)*(-5*k + 3 - 3)*(1 - 6 + 3) to c + a*k and give c.
0
Rearrange -3*p**3 - 1 + 3 + p**2 + 6*p**3 + p**2 + p**4 to q*p**4 + a + x*p**2 + k*p**3 + h*p and give k.
3
Express (-3*d - 6*d - 13*d)*(-d**2 + 5*d**2 - 5*d**2) - d**3 + 3*d**2 - 3*d**2 in the form b + p*d**3 + t*d + f*d**2 and give p.
21
Rearrange 25*y - 14*y + 17*y to p + u*y and give u.
28
Express 2 - 4 + 2*j**2 - 1 + 0 as b + s*j + g*j**2 and give g.
2
Rearrange -2 + 2 + 0*x**3 + x**3 - 3 + 8*x to the form k*x**2 + p*x + b + o*x**3 and give b.
-3
Express -78*r**3 + r**4 + 3*r**4 + 3*r - 2 + 79*r**3 - 5*r as m*r**4 + k*r**3 + a + h*r**2 + i*r and give i.
-2
Express -6*q**2 - q**2 + q - 10*q**2 + 15*q**2 in the form l + w*q**2 + c*q and give l.
0
Express -223*f - 22*f**2 + 223*f in the form j*f + n + x*f**2 and give x.
-22
Express b - 7 - 1 - 5 - 11 in the form x*b + y and give x.
1
Express -8*h + 42*h + 26*h as a + n*h and give n.
60
Express (1 + 8 - 2)*(3 - 3 - y**3) in the form w + l*y**3 + v*y + z*y**2 and give l.
-7
Rearrange -20*q**2 + 15*q - 15*q to the form t + l*q + j*q**2 and give j.
-20
Rearrange (h - 4*h + 2*h)*(4*h - 46*h + 2*h**2 - 88*h) to u*h**2 + s*h**3 + n + j*h and give u.
130
Express -8*n + 0*n + 3*n + n**2 + 2*n**2 as f*n + s*n**2 + z and give f.
-5
Rearrange -10 + 16 + 7*q**2 - 2*q - 6 to the form d*q + u*q**2 + k and give u.
7
Express (g + 111 - 111)*(g - 4 + 4) in the form m*g + y*g**2 + l and give y.
1
Express (-3*r**2 - 3*r**2 + 4*r**2)*(-23*r + 4*r - 3*r) + (4*r**2 - 3*r**2 + r**2)*(0 + 0 - 2*r) in the form q*r**2 + f*r + k*r**3 + v and give k.
40
Express (-3*g - 2*g + 4*g + 2)*(-11 + 12 + 1) in the form r + m*g and give r.
4
Express (0 + 3 + 0)*(6*t - 3*t - t) - 3*t + t + 0*t - 2 as c + a*t and give a.
4
Express -3 + 32*s + 3 in the form w*s + l and give w.
32
Express (u**2 + 28 - 34 - 8*u**2)*(2 + 1 - 4) as o + y*u + v*u**2 and give o.
6
Express 3 - 3 - 99*i**2 + 88*i**2 in the form r*i**2 + p*i + f and give r. | {
"pile_set_name": "DM Mathematics"
} |
) assuming d is positive.
d**(-1849/234)
Simplify (f/(f*f/f**(-17/2))*f/(f/(f/(f**(1/34)/f)))*f**15*f*f**(-29))**(-3/17) assuming f is positive.
f**(1047/289)
Simplify (((w/(w/((w*((w**0*w*w*w*w)/w)/w)/w)))/w)**(-7/5))**12*((w/(w/(w*w**0)))**(2/19))**(-26/9) assuming w is positive.
w**(-14624/855)
Simplify ((n**(-1/7)/(n/(n*n*n**(-3/2)/n)))/(n/(((n*n**(-13))/n)/n))**(-9))**(2/47) assuming n is positive.
n**(1867/329)
Simplify (((p**(-3)/(p*p/(p/(p*p**(6/7)))*p))/((p**(2/5)/p*p)/p*p*p*p/(((p**3/p*p*p)/p)/p*p)))**(2/89))**(-4/7) assuming p is positive.
p**(1752/21805)
Simplify (o**1)**(-4/13)*(o*(o**6*o)/o)/(o*(o*o/(o**(-3)*o))/o)*(o**(-2/7)*(((o**(1/2)*o)/o*o)/o)/o)/(o/o**(3/4)*o*o/o**0) assuming o is positive.
o**(-125/364)
Simplify (w/(w*w*w**(-9/8))*w)**(2/29)/((w*w/(w/(w*w**21)))/(w*w**(-47)/w*w)) assuming w is positive.
w**(-7995/116)
Simplify ((((n*n**(-2/9))/n)/n)**47*(n*n/(n*n**7*n)*n*n)**(-18))**(-22) assuming n is positive.
n**(-6446/9)
Simplify (k/k**(1/3))**(-10)*(k**(-1/2)*k)/(k**(-3/7)/k)*k/k**(-1)*k**4*(k/k**(-1/5))/(k*k**7) assuming k is positive.
k**(-1163/210)
Simplify (q**(2/3)*(q*q*q**5)/q)**(-34)/(q**(2/7)/((q*q**(-2)*q)/q))**(-7) assuming q is positive.
q**(-653/3)
Simplify (b**2/(b*b/((b*b**(-1/17)/b)/b))*(b**0*b)**42)**(16/5) assuming b is positive.
b**(11136/85)
Simplify ((y**(-2)*y)/y)/(y/y**(-2/3))*(y*y**(-1)*y*y)**(5/3)*y**(1/2)/y*y**(1/4)/y*(y/y**1)**(-22/3) assuming y is positive.
y**(-19/12)
Simplify ((c/c**(5/3))/(c*c*c/(c*c**4*c*c)*c)*c/(c/(c/(c/(c**(-2/11)/c))))*c*c*c**(-1/8))/((c**(-2/7)*c*c*c**(-2/5))/(c**(-1)/c**(-1))) assuming c is positive.
c**(15821/9240)
Simplify (g/(g/g**8)*g*g**(-5))**(-32)/(g**(-6)*g**(-1/4)*(g/(g/(g/(g*g**(2/5))))*g)**(-10/9)) assuming g is positive.
g**(-1453/12)
Simplify (((q**1*q**(-2))/((q/(q*q*(q*q**(-5)*q)/q)*q)/(q/((q*q/((q*q**(-1)*q)/q))/q))))**(4/15))**(-2/23) assuming q is positive.
q**(8/69)
Simplify (((m/m**2)/m**1)/(m**5/m*m**(-1/10)*m))/((m**(2/5))**43/(m**(-3/7)*m**(-6)*m)) assuming m is positive.
m**(-2067/70)
Simplify ((x**(1/2)/x)/(x*x**(-9)))**(-36)/((x**(2/3)/x)**(-45)*x*x/(x**(-2)/x*x*x)*x*x*x*x**(-7)) assuming x is positive.
x**(-284)
Simplify ((k**19*k**15/k)/(k*k**7*k)**(5/3))**(2/173) assuming k is positive.
k**(36/173)
Simplify (i**(1/19)*i*i*i/(((i**(-3/4)/i)/i)/i*i))**(-8)*(i**(-2/7)/i)**(-20)/(i*i*i**(-1)*i)**(14/9) assuming i is positive.
i**(-28510/1197)
Simplify (m*m/(m/(m*m**(-1/40)*m*m))*(m*m/m**(-21))/m*(m/(m*m**(23/5)))**(-5))**(-31) assuming m is positive.
m**(-60729/40)
Simplify ((h/(h*h*h/(h*((h/(h**0/h)*h)/h)/h)))**(-11/4))**48/((h**(1/2)*h)/(h*(h/(h*h**(1/2)))/h))**(4/15) assuming h is positive.
h**(-8/15)
Simplify ((b**22/b**(-20))/((((((b*b/(b**(-3/13)*b))/b)/b*b)/b)/b)/(b**36/b)))**(1/4) assuming b is positive.
b**(256/13)
Simplify (t**0)**(2/47)/(t*t/(t/((t*(t**(-2/7)*t*t)/t)/t))*t**4)*(t*(t*t**(1/3))/t)**(-4/3)*(t/(t*t*t/(t/t**0)))**27 assuming t is positive.
t**(-2173/63)
Simplify w**(-1)*w**(-6/11)*w*(w*w/(((w**(5/2)*w)/w*w)/w))/(w**(3/4)/w)*(w/(w*w/(w*w**3))*w/(w**(-8)/w))**(-2/3) assuming w is positive.
w**(-1249/132)
Simplify ((o/((o*o/o**44*o)/o))**(-1/27)*o**38*o**(-1/10))**36 assuming o is positive.
o**(19606/15)
Simplify (z*z**(-6))/(z/((z**(-1)*z)/z*z))*z/(z**(-3/7)/z)*z/((z*z/((z**(3/4)*z*z)/z))/z)*(z/z**(-1))**(-3/4)*(z**1)**(-28) assuming z is positive.
z**(-877/28)
Simplify (y**(-5/2)*y**0*y**(-1/3)/y**(-1/10))/(y**0*y*y**(-4)*((y/(y/(y**(-5)/y))*y)/y)/(y*y/(y**(-4/9)*y*y))) assuming y is positive.
y**(302/45)
Simplify ((p/p**2)**2*(p**(-1/3)*p)**(-45))/((p/(p*p**8))/p*p**0*p**(1/4)*p*p**7) assuming p is positive.
p**(-125/4)
Simplify ((h**3)**50/(h/h**(-11))**16)**(-1/14) assuming h is positive.
h**3
Simplify ((h*h/(h**(-1/8)*h)*((h*h**7)/h*h)/h)/((h/h**(-2))/(h**(1/6)/h)))/((h**1)**(2/63)*(h**(2/3))**11) assuming h is positive.
h**(-1549/504)
Simplify ((((v*v**8/v)/v**(2/27))/((v**(-1)/v)/v)**(2/17))**(1/12))**10 assuming v is positive.
v**(9500/1377)
Simplify (c/c**(-2/13)*c**5)/(c/(c**2*c)*c)**(13/3)*c**(-2)*c**(-2/19)*(c**(2/5)/c)**(-18) assuming c is positive.
c**(71069/3705)
Simplify (q*q*q**(-6)*q**(-1/5)*(q**2)**(-19))**44 assuming q is positive.
q**(-9284/5)
Simplify ((z**(-2)/z**4)/(z**(-8)*z/z**(-2/5)))/((z*z**(2/9))**1)**(38/5) assuming z is positive.
z**(-391/45)
Simplify (a*a*a**(-2/7)*(a**(-2)*a)/a*(((a*(a/(a*a/a**(-4/5)))/a)/a)/a)/((a*a**6*a)/a))/((a**(-2/5))**43)**22 assuming a is positive.
a**(12856/35)
Simplify ((d**(1/9)*d)**(-7/2)*(d**4/d)**(-28))**16 assuming d is positive.
d**(-12656/9)
Simplify ((d/(d/d**7))/d*d/((d**(-1)*d)/d*d)*d)/(d/((d**(-1/4)/d)/d))**31*((d**1)**18)**34 assuming d is positive.
d**(2077/4)
Simplify (f*f/(f**(-3/8)*f)*f)/f*(f/(f/f**5))/f*((f*f/(f/(f**3*f))*f*f)/f)/f*f**(-2)*f**(2/3)*f**5*(f/(f/f**(2/7)))**(34/3) assuming f is positive.
f**(2903/168)
Simplify ((((l/(l/(l/(l*l**(-4/3)/l))*l))/l)/(l*l**0*l)*l*l*l**(-4)*l/(l*l**8))**(-32))**(-40) assuming l is positive.
l**(-44800/3)
Simplify (((s/(s*s*(s/(s/(s/((s*s/s**(-2/15))/s))))/s*s))/s)/(s**(1/2)/s*s))**(-1/12)*((s**(3/4)/s)/s*s/(s*s*s**(-2/17)))/(s**1)**(-7/5) assuming s is positive.
s**(-655/1224)
Simplify ((y**(4/7)*y*y)/y**3*(y**(-2/3)/y)**(-5/7))/((((y**6/y)/y*y)/y)/(y*y**(-6)))**(-45) assuming y is positive.
y**(8521/21)
Simplify (s**0/s**(-1/5)*((s/s**(-2/7))/s)**(-45))/(s**(2/7)/(s/s**(1/8))*(s*s/(s*s/(s*s**(-2/3))))**(11/3)) assuming s is positive.
s**(-33491/2520)
Simplify ((n**(4/5)*n**1*(n**(2/7))**(-15))**(-36))**(-13/3) assuming n is positive.
n**(-13572/35)
Simplify ((j*j*j/j**(-1))/j)**(2/19)/(j**0/j)**(-1/6)*(j*j**(2/7))**38*j**(-6)*j*j/(j/j**(1/7)) assuming j is positive.
j**(5033/114)
Simplify (h**4/(((h**(1/5)*h)/h)/h*h))**(1/18)/((((h/((h**(4/7)*h)/h)*h*h*h)/h)/h**(1/7))/(h*h**(-2/15)*h/(h*h**(3/4)))) assuming h is positive.
h**(-2467/1260)
Simplify (u**(-1))**45*u**2/(u*u**(-6))*((u**(2/11)*u)/(u*u/u**8*u))**(13/4) assuming u is positive.
u**(-197/11)
Simplify ((c**(1/6)/c*c)/(c/(c/((c/(c**(1/2)/c))/c))))**(2/3)*c**(-2/5)*c/(c**6/c*c)*c*(c**(-2/3))**(3/28) assuming c is positive.
c**(-2957/630)
Simplify (y/(y/(y*((y*y/(y**(-5/3)*y)*y)/y)/y*y))*y*y**(-10)*y*y**(2/3)/y**(-4))**(4/35) assuming y is positive.
y**(4/105)
Simplify (v**(-5)*v/((v*v/((v/v**(1/3))/v))/v))**(-17/6)*v*v/v**(1/11)*v*v**(-3)*v*v*v*v**(-1)*v/v**(2/5) assuming v is positive.
v**(8722/495)
Simplify ((i*i/(i**(-1/3)*i)*i)**24)**(7/4)/((i/i**(-4/3))/(i**1*i))**(1/3) assuming i is positive.
i**(881/9)
Simplify (((k/((k*k**0/k*k)/k))**(-9/2)*(k**(-7)*k)/((k/(k*k/k**(-6)))/k))**(1/16))**(-20) assuming k is positive.
k**(25/8)
Simplify (((i/(i/(i**(17/3)*i)))/(i/i**(-6)))/(i/(i**9*i)*i**(-2/17)/i))**(-1/38) assuming i is positive.
i**(-499/1938)
Simplify ((c**(-2/19)/c)/c**(1/4))/(c*(c/(c**1/c))/c*c)**7*(((c**(-1/2)*c)/c)/c)**(20/7)/((c**(1/2)*c*c*c)/c*c)**(-42) assuming c is positive.
c**(67755/532)
Simplify ((g*g**0*g)**(18/7)*(g*g/g**(-2/5))/g**(-2/13))/((g**(-1))**(-12)/(g*(g**(2/3)*g)/g*g**0/g*g)) assuming g is positive.
g**(-3599/1365)
Simplify (f*f**(-10)*(f**4/f)/f*f*f)**(4/29)/((f**(2/13)/(f**(-2/15)/f))/(f**(-2/5)*f*((f/f**(-2/15))/f)/f*f)) assuming f is positive.
f**(-2344/1885)
Simplify ((c**(1/2))**(-1/9)*(c**(-2/3))**(10/3))/(c/(c/(c/(c*c/(c*c/(c**(4/9)*c)))))*(c*c/(c/(c/(c*c*c*c/(c**(1/3)/c)))))/c)**(12/13) assuming c is positive.
c**(355/234)
Simplify ((a**(-1/4)/a)**37)**41*(a**2/a*a/a**8)/(a**0*a)**(-28) assuming a is positive.
a**(-7497/4)
Simplify ((m**(-1)/m)/((m/(m*m**5*m))/m))**14*(m**5/m**(2/15))/(m/(m/((m*m/(m/(m*m/(m/m**(2/7))*m*m*m)))/m))*m/(m/m**(-6))) assuming m is positive.
m**(8041/105)
Simplify (((w*w*(w**(-2/7)/w)/w)/w)/(w/w**(-1/6)))**28/((w/(w*w/w**(2/5)*w)*w)**(-5/2))**(2/31) assuming w is positive.
w**(-6395/93)
Simplify (c**(-1/4)*c*c/(c/c**(1/4)))**(-1/32)/((c**(2/17)/c)/(c*c**1))**(-1/19) assuming c is positive.
c**(-1891/10336)
Simplify f**(-2)/f**(2/3)*f**4/f**(3/8)*f/(f*f**(-5))*f**(-1/6)*f*(f*(((f*f*f**0/f)/f)/f)/f)**(27/5) assuming f is positive.
f**(167/120)
Simplify ((p**(-9))**(-49)/((p**(-13/2)*p)/p**13))**30 assuming p is positive.
p**13785
Simplify (d*d**0)**6*d*d**(-2/5)*d**6*(d**6/d**6)**(-8/7) assuming d is positive.
d**(63/5)
Simplify ((z**0)**(10/3)/(z**(-1/3))**18)/((z**(-2/5))**(-5/ | {
"pile_set_name": "DM Mathematics"
} |
38
Let w(t) = -75*t - 603. Give w(-11).
222
Let i(u) = -210*u**2 + 12*u + 2. What is i(-1)?
-220
Let i(r) = r**3 - 55*r**2 - 166*r - 412. Give i(58).
52
Let z(f) = -102*f - 5852. Calculate z(-57).
-38
Let l(s) = s**3 + 25*s**2 - 3*s - 23. What is l(-25)?
52
Let z(h) = -48*h - 594. Give z(-13).
30
Let s(o) = 11*o - 45. Determine s(13).
98
Let z(p) = -p**2 + 469*p - 2315. Determine z(5).
5
Let i(b) = 72*b - 75. Give i(3).
141
Let c(z) = z**2 + 182*z + 2160. Calculate c(-169).
-37
Let g(t) = -3*t**3 - 25*t**2 + 3*t + 1. What is g(-4)?
-219
Let b(v) = v**2 + 65*v - 209. Give b(3).
-5
Let c(f) = -f**3 - 36*f**2 + 449*f + 101. What is c(10)?
-9
Let b(l) = -18*l**2 + 113*l - 64. Determine b(6).
-34
Let d(s) = -10*s**2 + 14*s - 4. Give d(-6).
-448
Let p(f) = 494*f + 10328. Give p(-21).
-46
Let p(t) = t**2 - 3*t + 104. Calculate p(0).
104
Let o(y) = 82*y + 186. Give o(-3).
-60
Let o(j) = -j**2 - 111*j - 1536. Determine o(-87).
552
Let g(i) = -i**3 - 4*i**2 + 8*i - 23. Determine g(-6).
1
Let q(l) = 61*l**2 - 9*l + 2. What is q(1)?
54
Let z(q) = -q**3 + 50*q**2 + 70*q + 2013. What is z(52)?
245
Let f(a) = 254*a - 14234. Determine f(56).
-10
Let r(s) = s**2 + 23*s - 121. Give r(-28).
19
Let k(u) = 2*u**3 - 6*u**2 + 42*u - 105. Give k(3).
21
Let d(q) = 108*q - 866. What is d(8)?
-2
Let d(p) = p**3 + 82*p**2 - 823*p - 417. What is d(-91)?
-53
Let p(y) = y**2 + 46*y - 855. Give p(14).
-15
Let d(c) = 144*c + 425. Determine d(-3).
-7
Let q(s) = s**3 + 10*s**2 + 27*s - 4. Determine q(-4).
-16
Let v(q) = -131*q + 7206. Give v(55).
1
Let k(i) = -10*i - 98. Determine k(47).
-568
Let i(m) = 32*m**2 - 163*m + 4. Give i(5).
-11
Let x(g) = 11*g - 233. Give x(17).
-46
Let s(f) = 36*f**3 + 15*f**2 - 10*f - 5. Calculate s(1).
36
Let h(r) = 2*r**2 - 1314*r + 3952. Determine h(3).
28
Let l(n) = n**3 + 98*n**2 + 196*n + 413. What is l(-96)?
29
Let m(r) = -r**2 + 25*r + 19598. What is m(153)?
14
Let o(w) = -32*w - 71. Determine o(-2).
-7
Let s(k) = 55*k**3 - 5*k**2 - k - 3. Give s(2).
415
Let t(l) = -l**2 - 27*l + 219. Calculate t(-34).
-19
Let l(h) = -h**2 + 310*h + 21767. Calculate l(-59).
-4
Let l(n) = -6*n + 265. Determine l(41).
19
Let s(g) = 22*g**2 - 65*g - 189. Determine s(-5).
686
Let b(q) = -53*q + 686. What is b(11)?
103
Let y(b) = 10*b**2 - 62*b + 184. Determine y(3).
88
Let k(w) = w**3 + 68*w**2 + 67*w + 63. Determine k(-67).
63
Let y(g) = 2319*g - 2328. Determine y(1).
-9
Let b(t) = -t**2 + 75*t - 298. Determine b(55).
802
Let a(l) = -20*l - 349. What is a(-18)?
11
Let m(b) = -b**2 - 3*b + 291. What is m(-20)?
-49
Let j(d) = -d**3 + 13*d**2 + 7*d - 378. Calculate j(10).
-8
Let c(o) = -o**2 - 19*o + 1177. Give c(27).
-65
Let m(p) = -p**2 + 127*p - 744. Give m(6).
-18
Let v(y) = 7*y**2 - 22*y - 169. Calculate v(-7).
328
Let d(x) = 12*x**3 + 17*x**2 - 13*x - 26. Give d(-3).
-158
Let w(m) = 96*m - 3711. Calculate w(39).
33
Let o(n) = -6*n**2 + 42*n - 14. What is o(8)?
-62
Let y(x) = -x**2 + 43*x - 310. What is y(10)?
20
Let w(u) = u**3 + 12*u**2 + 13*u + 28. Give w(-5).
138
Let u(g) = -56*g**2 + 1218*g + 317. Calculate u(22).
9
Let t(l) = -4*l**2 - 2*l - 8. Calculate t(5).
-118
Let y(h) = 2615*h - 20922. Calculate y(8).
-2
Let b(w) = 2*w**2 + 152*w + 568. Determine b(-72).
-8
Let q(p) = -12*p**3 - 275*p**2 + 28*p + 110. Calculate q(-23).
-5
Let k(s) = -5*s - 21. Calculate k(11).
-76
Let i(a) = 13*a - 108. Determine i(2).
-82
Let z(p) = 168*p + 17367. Calculate z(-103).
63
Let o(h) = h**3 - 14*h**2 - 1971*h + 178. Give o(-38).
-12
Let k(a) = 24*a**2 + 111*a - 55. Give k(-5).
-10
Let x(o) = 10*o - 94. Calculate x(4).
-54
Let f(n) = n**3 + 32*n - 9. Determine f(0).
-9
Let x(h) = -4*h**2 - 115*h + 36. Give x(-31).
-243
Let s(r) = 259*r - 1965. Determine s(8).
107
Let l(o) = -190*o + 4935. Determine l(26).
-5
Let i(p) = 32*p - 3337. Determine i(104).
-9
Let f(w) = 13097*w**2 - 91676*w - 9. Give f(7).
12
Let y(a) = 12*a + 241. Determine y(-19).
13
Let x(t) = -4*t**2 + 19*t - 21. What is x(2)?
1
Let u(f) = -f**3 - 4*f**2 + 14*f + 21. Give u(-7).
70
Let a(o) = -13*o**2 - 23*o + 44. Give a(-3).
-4
Let r(b) = 144*b + 16. Calculate r(-1).
-128
Let v(m) = -m**3 + 151*m**2 + 10050*m - 1. Calculate v(-50).
-1
Let q(r) = 4*r**3 + 83*r**2 + 54*r - 124. What is q(-20)?
-4
Let f(k) = k**3 - 8*k**2 + 9*k - 16. Determine f(6).
-34
Let p(d) = -32*d - 1560. Calculate p(-49).
8
Let g(w) = -47*w - 367. What is g(-8)?
9
Let n(h) = h**2 + 25*h - 150. What is n(-33)?
114
Let s(l) = -l**2 + 11*l + 20. Give s(14).
-22
Let m(l) = -4*l**3 + 38*l**2 - 2*l - 73. Give m(9).
71
Let u(q) = 60*q + 19. Determine u(-4).
-221
Let s(q) = 55*q + 275. Give s(-2).
165
Let y(p) = -4*p**2 + 171*p + 751. Determine y(-4).
3
Let f(p) = -8*p**3 - 4*p**2 - 4*p - 19. Calculate f(-4).
445
Let g(i) = 9*i**2 + 163*i + 390. What is g(-15)?
-30
Let a(p) = 1258*p - 89320. What is a(71)?
-2
Let z(n) = -n**3 - 9*n**2 - 20*n + 54. Give z(-11).
516
Let h(t) = -t**3 + 21*t**2 + 103*t - 75. What is h(25)?
0
Let n(r) = r**3 - 8*r**2 - 65*r - 30. Determine n(13).
-30
Let i(o) = -63*o - 450. What is i(-8)?
54
Let p(n) = -n**2 + 370*n - 6006. Calculate p(17).
-5
Let a(c) = 2*c**2 + 222*c + 6159. What is a(-58)?
11
Let b(r) = 2*r**3 + 29*r**2 + 6*r - 93. What is b(-14)?
19
Let a(q) = q**3 + 54*q**2 - 102*q + 563. What is a(-56)?
3
Let q(t) = 10*t**2 - 269*t - 43. What is q(27)?
-16
Let a(b) = b**2 + 56*b - 1597. Calculate a(-77).
20
Let c(l) = 3*l - 32. Determine c(8).
-8
Let w(j) = -1171*j - 12885. What is w(-11)?
-4
Let i(v) = -v**3 - 10*v**2 + 127*v + 794. Give i(-15).
14
Let i(n) = -n**2 + 45*n - 42. Determine i(45).
-42
Let a(n) = 22*n**2 + 337*n - 730. Determine a(2).
32
Let r(n) = -22*n**2 - 529*n - 8. Determine r(-24).
16
Let v(h) = -3*h + 106. What is v(47)?
-35
Let o(a) = 27*a - 723. What is o(30)?
87
Let d(z) = 2*z**2 + 91*z + 512. Give d(-39).
5
Let p(y) = 10*y**2 + 84*y + 86. Determine p(-1).
12
Let r(m) = m**2 + 7*m - 131. Calculate r(6).
-53
Let x(y) = y**2 + 83*y + 1366. Calculate x(-21).
64
Let m(f) = -f**2 + 52*f + 652. Determine m(-10).
32
Let i(j) = j**3 - 11*j**2 - 58*j - 9. What is i(-4)?
-17
Let r(y) = -5*y**2 + 45*y - 20. Determine r(4).
80
Let u(l) = 67*l - 751. Calculate u(11).
-14
Let n(t) = 18*t**2 + 42*t + 3. What is n(-2)?
-9
Let f(c) = 3*c**2 - 192*c + 374. Determine f(62).
2
Let k(v) = 2*v**2 + 89*v - 642. What is k(-51)?
21
Let h(i) = 8*i**3 + 105*i**2 + 12*i + 12. Calculate h(-13).
25
Let c(v) = 4*v**2 + 8. Give c(2).
24
Let c(z) = z**3 - 128*z**2 + 1064*z + 37. Calculate c(9).
-26
Let r(u) = -42*u**2 - 2*u - 28. Determine r(-3).
-400
Let b(f) = 113*f + 2946. What is b(-26)?
8
Let p(u) = 8*u - 30. What is p(-6)?
-78
Let d(z) = 559*z + 9497. Determine d(-17).
-6
Let a(y) = -119*y - 363. Calculate a(-4).
113
Let b(n) = 118*n - 1081. Give b(9).
-19
Let v(t) = -t**2 + 90*t - 1074. Calculate v(76).
-10
Let x(n) = n**3 + 27*n**2 + 40*n + 144. Calculate x(-25).
394
Let m(f) = -2*f**2 - 205*f - 1175. Give m(-6).
-17
Let k(c) = 5*c**3 - 2*c**2 + 4*c + 4. Calculate k(2).
44
Let f(r) = -399*r - 2455. Give f(-6).
-61
Let v(i) = -i**2 + 5*i - 10. What is v(9)?
-46
Let f(d) = d**2 + 114*d + 443. What is f(-110)?
3
Let f(v) = 17*v - 2363. What is f(140)?
17
Let c(s) = -26*s**2 - 7358*s + 7360. What is c(1)?
-24
Let z(h) = h**3 + 8*h**2 + 29*h + 74. Calculate z(-4).
22
Let c(m) = -m**3 - 15*m**2 + m + 16. Calculate c(-15).
1
Let o(d) = -274*d - 243. What is o(-1)?
31
Let g(a) = -2*a**3 + 102*a**2 - 101*a + 52. Calculate g(50).
2
Let y(d) = -2*d**3 - 25*d**2 + 13*d + 20. What is y(-12)?
-280
Let o(q) = 4*q**3 - 30*q**2 - 16*q - 18. Calculate o(8).
-18
Let z(t) = -t**2 - 26*t - 95. What is z(-19)?
38
Let i(t) = 2*t**2 + 74*t + 13. Give i(-37).
13
Let u(z) = -z**3 + 41*z**2 + 48*z - 254. Determine u(42).
-2
Let q(h) = -3*h**3 - 48*h**2 - 25*h + 178. Give q(-15).
-122
Let z(i) = 33*i + 245. Give z(-10).
-85
Let g(k) = -92*k**2 + 4234*k - 92. What is g(46)?
0
Let n(j) = -j**3 + 48*j**2 + 107*j + 84. Determine n(50).
434
Let q(f) = f**2 + 26*f - 65. What is q(-29)?
22
Let u(j) = -j**2 - 97*j + 4827. Give u(-134).
-131
Let i(d) = -3*d**2 - 26*d - 57. Determine i(-15).
-342
Let l(q) = -q**2 + 2978*q + 35877. Calculate l(-12).
-3
Let y(u) = -u**3 - 7*u**2 - 2*u + 20. What is y(-6)?
-4
Let h(c) = 2*c**3 + 281*c**2 - 144 | {
"pile_set_name": "DM Mathematics"
} |
}. What is prob of picking 2 a?
1/51
Four letters picked without replacement from wwiiwiiwwiiwwiwwwww. What is prob of picking 3 i and 1 w?
35/323
Three letters picked without replacement from iiizpiiipiiiziiip. Give prob of picking 1 i and 2 p.
9/170
Calculate prob of picking 4 k when four letters picked without replacement from {k: 16, u: 2}.
91/153
What is prob of picking 3 f when three letters picked without replacement from fjjiijfjffjfj?
5/143
Calculate prob of picking 1 u and 1 x when two letters picked without replacement from uuuuuuuuuuuuuuuxxuuu.
18/95
Calculate prob of picking 2 f and 1 i when three letters picked without replacement from jisfhasfijfj.
3/110
Three letters picked without replacement from wrrwrrrwrrrwrrwrwrr. What is prob of picking 1 w and 2 r?
156/323
Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {k: 1, p: 3, d: 4, o: 1, n: 1, m: 2}.
1/66
Three letters picked without replacement from kdoukffkuokokkff. What is prob of picking 1 o, 1 k, and 1 d?
9/280
What is prob of picking 1 z and 1 a when two letters picked without replacement from zzzzzzza?
1/4
Four letters picked without replacement from {c: 3, y: 1, b: 7, j: 2, h: 3, t: 2}. What is prob of picking 2 b and 2 j?
7/1020
Two letters picked without replacement from fnegybe. What is prob of picking 1 n and 1 g?
1/21
Two letters picked without replacement from eimmmeim. Give prob of picking 1 i and 1 e.
1/7
What is prob of picking 2 f when two letters picked without replacement from {o: 7, f: 3}?
1/15
Three letters picked without replacement from vvvvvxxxxvvvvvxvxv. Give prob of picking 1 v and 2 x.
15/68
Four letters picked without replacement from {b: 9, f: 7}. What is prob of picking 3 b and 1 f?
21/65
Calculate prob of picking 1 j, 1 f, and 1 q when three letters picked without replacement from {i: 1, q: 4, f: 1, y: 1, j: 1}.
1/14
Two letters picked without replacement from {y: 7, h: 1, m: 5}. Give prob of picking 1 m and 1 h.
5/78
Calculate prob of picking 4 i when four letters picked without replacement from {i: 2, r: 9}.
0
Three letters picked without replacement from {y: 3, c: 7, u: 1, j: 6}. Give prob of picking 2 c and 1 y.
63/680
Calculate prob of picking 3 o when three letters picked without replacement from {o: 4, e: 1, w: 3, i: 6}.
1/91
Calculate prob of picking 1 e and 3 w when four letters picked without replacement from ewqagegegggegwwwww.
4/153
Two letters picked without replacement from bluubzu. What is prob of picking 1 u and 1 b?
2/7
Three letters picked without replacement from {k: 12, f: 1, c: 1}. Give prob of picking 3 c.
0
What is prob of picking 1 i and 1 k when two letters picked without replacement from {v: 1, h: 6, k: 7, i: 6}?
21/95
What is prob of picking 2 v and 1 u when three letters picked without replacement from uvvvvvvvvvvvvvvvvv?
1/6
What is prob of picking 3 r when three letters picked without replacement from rirrrrrriririr?
30/91
What is prob of picking 3 h when three letters picked without replacement from {h: 7, c: 2}?
5/12
Calculate prob of picking 2 h when two letters picked without replacement from zzzihhizi.
1/36
Two letters picked without replacement from fwfwwwffwww. Give prob of picking 2 f.
6/55
Two letters picked without replacement from {u: 3, o: 7, t: 4, r: 5}. Give prob of picking 2 r.
10/171
Calculate prob of picking 3 i when three letters picked without replacement from bbibbibb.
0
Three letters picked without replacement from nllllnl. What is prob of picking 2 l and 1 n?
4/7
What is prob of picking 3 x and 1 g when four letters picked without replacement from vxnxvvkbxbvbvvbg?
1/1820
What is prob of picking 3 p and 1 y when four letters picked without replacement from pppttruttuturyt?
1/1365
Calculate prob of picking 1 w, 2 p, and 1 c when four letters picked without replacement from wcwccwnpphc.
2/55
Two letters picked without replacement from wbbiwibwwwwsisi. What is prob of picking 1 b and 1 s?
2/35
What is prob of picking 3 e when three letters picked without replacement from {v: 3, e: 11}?
165/364
What is prob of picking 3 y when three letters picked without replacement from {y: 13, e: 3}?
143/280
What is prob of picking 2 p when two letters picked without replacement from {p: 5, h: 9}?
10/91
Two letters picked without replacement from {n: 10, t: 2}. Give prob of picking 2 n.
15/22
What is prob of picking 1 a and 2 y when three letters picked without replacement from {a: 8, y: 3}?
8/55
Calculate prob of picking 1 i, 1 p, and 2 o when four letters picked without replacement from {j: 4, i: 2, p: 2, l: 1, o: 9, t: 2}.
48/1615
What is prob of picking 1 u and 3 f when four letters picked without replacement from fufuf?
2/5
Four letters picked without replacement from {u: 1, d: 1, o: 2, z: 4}. What is prob of picking 2 z and 2 u?
0
Four letters picked without replacement from {i: 3, a: 2, w: 1, c: 1, y: 5}. What is prob of picking 4 y?
1/99
Two letters picked without replacement from tmtmmmtmmmtmmmtttmtt. Give prob of picking 2 t.
18/95
Three letters picked without replacement from quqqeuquuqeeqeueleq. What is prob of picking 3 u?
10/969
Two letters picked without replacement from {h: 1, r: 2, i: 3, z: 7, a: 5, v: 2}. What is prob of picking 1 a and 1 z?
7/38
What is prob of picking 1 h and 1 u when two letters picked without replacement from {m: 2, u: 2, z: 1, h: 2, b: 5, t: 5}?
1/34
What is prob of picking 1 w and 2 c when three letters picked without replacement from {w: 3, j: 3, q: 3, l: 3, c: 4}?
9/280
What is prob of picking 2 h when two letters picked without replacement from {e: 4, h: 2}?
1/15
Calculate prob of picking 1 y and 2 o when three letters picked without replacement from nncnnyncnoon.
1/220
Two letters picked without replacement from {i: 2, q: 9, b: 5}. What is prob of picking 1 b and 1 i?
1/12
Two letters picked without replacement from gpppgp. Give prob of picking 2 g.
1/15
Two letters picked without replacement from {j: 1, v: 1, c: 2}. What is prob of picking 2 c?
1/6
What is prob of picking 3 a when three letters picked without replacement from aeaa?
1/4
Four letters picked without replacement from {q: 3, x: 5}. What is prob of picking 1 x and 3 q?
1/14
What is prob of picking 2 w and 1 r when three letters picked without replacement from {y: 4, r: 3, x: 2, w: 6}?
9/91
Four letters picked without replacement from zymhmhzmhmhzzmhm. Give prob of picking 3 z and 1 h.
1/91
Two letters picked without replacement from kkninisiqmmn. Give prob of picking 1 n and 1 m.
1/11
What is prob of picking 1 l and 2 s when three letters picked without replacement from lssllslllslllllllls?
140/969
Calculate prob of picking 2 t when two letters picked without replacement from ittuuuttttiuti.
3/13
Calculate prob of picking 1 z, 2 h, and 1 v when four letters picked without replacement from hvbvvsvhhvshasbszb.
1/102
Two letters picked without replacement from {p: 2, r: 2, k: 1}. Give prob of picking 1 r and 1 k.
1/5
What is prob of picking 2 c when two letters picked without replacement from qwnwcc?
1/15
Two letters picked without replacement from beisg. Give prob of picking 1 i and 1 b.
1/10
Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {w: 2, h: 2}.
2/3
What is prob of picking 3 f when three letters picked without replacement from {x: 4, f: 4, t: 2, y: 1, n: 3, m: 1}?
4/455
Four letters picked without replacement from {b: 4, o: 7, u: 2}. Give prob of picking 1 b and 3 o.
28/143
Calculate prob of picking 2 k when two letters picked without replacement from kkttbkkttt.
2/15
Four letters picked without replacement from yssyyyyyyy. What is prob of picking 3 y and 1 s?
8/15
What is prob of picking 1 t, 1 b, and 1 r when three letters picked without replacement from btkrikrrbxxbxrr?
3/91
Two letters picked without replacement from {j: 1, t: 7, g: 5}. Give prob of picking 1 g and 1 j.
5/78
What is prob of picking 2 a when two letters picked without replacement from {k: 7, a: 7}?
3/13
Two letters picked without replacement from nne. What is prob of picking 2 n?
1/3
Four letters picked without replacement from {w: 2, o: 4, t: 8}. Give prob of picking 4 o.
1/1001
Two letters picked without replacement from qiaiifqiafiqiaiqiiai. Give pro | {
"pile_set_name": "DM Mathematics"
} |
cement from fxgfgwufgwwugufx. What is prob of sequence wg?
1/20
Two letters picked without replacement from {d: 2, e: 1, l: 1, m: 1, w: 4}. Give prob of sequence lw.
1/18
What is prob of sequence wx when two letters picked without replacement from xxxxxxxxxxxxxxxxxxw?
1/19
Four letters picked without replacement from {v: 3, a: 3, j: 8, s: 3, m: 1}. Give prob of sequence jaas.
1/510
Four letters picked without replacement from {h: 1, r: 1, l: 1, i: 1, e: 1}. What is prob of sequence lhie?
1/120
Three letters picked without replacement from inpxxpyixxinntn. What is prob of sequence tyn?
2/1365
Three letters picked without replacement from {g: 2, o: 4, v: 3}. Give prob of sequence oog.
1/21
Three letters picked without replacement from muaukauuuuuukuku. Give prob of sequence kku.
1/56
Three letters picked without replacement from {o: 2, v: 10}. What is prob of sequence vov?
3/22
Four letters picked without replacement from thnntntutunhph. Give prob of sequence hupu.
1/4004
Two letters picked without replacement from {b: 2, p: 1, k: 2, d: 1}. What is prob of sequence dp?
1/30
Three letters picked without replacement from {p: 4, x: 2, m: 3, k: 4, v: 1}. What is prob of sequence mxp?
1/91
What is prob of sequence oc when two letters picked without replacement from {w: 3, p: 12, c: 2, o: 3}?
3/190
Three letters picked without replacement from ppvvvwvnnppvvppvvp. Give prob of sequence vvv.
7/102
Three letters picked without replacement from {r: 10, q: 10}. Give prob of sequence rrq.
5/38
Three letters picked without replacement from wwtwwtwwtw. Give prob of sequence wtw.
7/40
Calculate prob of sequence ib when two letters picked without replacement from {h: 1, b: 2, p: 1, f: 2, i: 1}.
1/21
What is prob of sequence bw when two letters picked without replacement from bbbbbbbbbbbw?
1/12
What is prob of sequence el when two letters picked without replacement from crteyrl?
1/42
Calculate prob of sequence bo when two letters picked without replacement from obkobobboobobb.
3/13
What is prob of sequence kkpm when four letters picked without replacement from {m: 1, k: 5, h: 3, p: 1}?
1/252
Two letters picked without replacement from {x: 2, r: 2, n: 1, w: 4, c: 1}. What is prob of sequence cn?
1/90
What is prob of sequence eh when two letters picked without replacement from {h: 9, e: 3}?
9/44
What is prob of sequence rbh when three letters picked without replacement from {h: 1, b: 1, r: 1}?
1/6
Three letters picked without replacement from vvfhvvvhvv. What is prob of sequence hvh?
7/360
Three letters picked without replacement from xekx. What is prob of sequence xek?
1/12
Calculate prob of sequence vrj when three letters picked without replacement from {j: 3, v: 10, z: 2, r: 1, x: 3}.
5/969
Three letters picked without replacement from {w: 7, a: 2, d: 4}. What is prob of sequence awd?
14/429
What is prob of sequence fhh when three letters picked without replacement from ihyfhfiwii?
1/180
Two letters picked without replacement from tjnrtnjnttn. What is prob of sequence rt?
2/55
Calculate prob of sequence ll when two letters picked without replacement from {e: 1, o: 3, l: 8, n: 2, r: 1, a: 1}.
7/30
Two letters picked without replacement from {o: 1, u: 2, c: 6, j: 3}. What is prob of sequence jo?
1/44
Three letters picked without replacement from aakakkkakkakkk. What is prob of sequence kaa?
15/182
Calculate prob of sequence uduu when four letters picked without replacement from ddduuduuduudduduud.
21/340
Calculate prob of sequence eke when three letters picked without replacement from {e: 9, k: 2, n: 3, y: 3}.
3/85
What is prob of sequence ppga when four letters picked without replacement from {g: 2, a: 4, p: 4}?
2/105
Four letters picked without replacement from offoffoffo. What is prob of sequence fffo?
2/21
What is prob of sequence tvl when three letters picked without replacement from bblzvbtblbzz?
1/660
Three letters picked without replacement from {e: 2, o: 1, w: 1, n: 4}. Give prob of sequence one.
1/42
Three letters picked without replacement from {j: 9, x: 10}. Give prob of sequence jxx.
45/323
Calculate prob of sequence xh when two letters picked without replacement from {x: 2, y: 1, h: 1}.
1/6
What is prob of sequence gu when two letters picked without replacement from {w: 3, g: 1, e: 1, o: 3, u: 2}?
1/45
Calculate prob of sequence ilz when three letters picked without replacement from aizializaaaz.
3/440
What is prob of sequence ssj when three letters picked without replacement from {s: 11, c: 1, r: 3, j: 4}?
220/2907
What is prob of sequence jqj when three letters picked without replacement from {r: 1, z: 4, j: 6, q: 5}?
5/112
Two letters picked without replacement from {l: 1, d: 8, z: 6}. Give prob of sequence dz.
8/35
Two letters picked without replacement from {e: 4, a: 3, s: 3, p: 2, j: 2, u: 2}. Give prob of sequence aa.
1/40
Calculate prob of sequence sss when three letters picked without replacement from ssggssg.
4/35
Four letters picked without replacement from ospvsvog. Give prob of sequence vsvs.
1/420
Three letters picked without replacement from {s: 3, u: 1, b: 2, p: 3, r: 1}. Give prob of sequence rpb.
1/120
Two letters picked without replacement from pvttptvptppppvptpvtp. Give prob of sequence pt.
3/19
Three letters picked without replacement from {y: 16, l: 1, i: 1}. What is prob of sequence yiy?
5/102
Four letters picked without replacement from ddgppgddcc. Give prob of sequence dgcg.
1/315
Calculate prob of sequence sp when two letters picked without replacement from sqssnzsnnpqzp.
2/39
Four letters picked without replacement from idxxxed. What is prob of sequence iedd?
1/420
Two letters picked without replacement from jjjjjjjkjkjjjkjjkk. Give prob of sequence jj.
26/51
Two letters picked without replacement from {j: 1, l: 1, f: 2, v: 2, t: 1}. What is prob of sequence fl?
1/21
Three letters picked without replacement from lplpllpplz. Give prob of sequence lll.
1/12
Three letters picked without replacement from ttggtgpgtgrgxggxggg. Give prob of sequence xrg.
11/2907
Three letters picked without replacement from aaaasssaaaias. What is prob of sequence sas?
8/143
Calculate prob of sequence ty when two letters picked without replacement from {p: 2, a: 1, t: 1, y: 4, z: 3}.
2/55
Calculate prob of sequence jh when two letters picked without replacement from {v: 1, h: 5, m: 1, j: 13}.
13/76
Calculate prob of sequence cz when two letters picked without replacement from cczzzzzczzzzzczczzz.
35/171
Calculate prob of sequence wwyy when four letters picked without replacement from wwwywwyywywwww.
45/1001
What is prob of sequence fxex when four letters picked without replacement from {e: 3, f: 1, x: 7, i: 1}?
7/660
Three letters picked without replacement from {g: 8, i: 2}. What is prob of sequence gig?
7/45
Two letters picked without replacement from ozvnzvzzvzzzzzzvozo. Give prob of sequence zn.
11/342
Calculate prob of sequence ipq when three letters picked without replacement from piqubqe.
1/105
Calculate prob of sequence ge when two letters picked without replacement from gweeeowelywo.
1/33
Two letters picked without replacement from lyyuyylxxxylsxl. What is prob of sequence ly?
2/21
What is prob of sequence nn when two letters picked without replacement from rnrnnnnrnrnr?
7/22
Four letters picked without replacement from {h: 4, z: 1, y: 2, w: 2}. Give prob of sequence hhyh.
1/63
Calculate prob of sequence nw when two letters picked without replacement from wwrwfnrnrwn.
6/55
Four letters picked without replacement from {v: 4, a: 7}. What is prob of sequence vvva?
7/330
Three letters picked without replacement from {b: 6, j: 7, z: 4}. What is prob of sequence jbj?
21/340
Two letters picked without replacement from ymmympypym. What is prob of sequence yp?
4/45
Two letters picked without replacement from sxelxseseexe. What is prob of sequence ex?
5/44
Calculate prob of sequence qhz when three letters picked without replacement from szsxzqqxqsxgh.
1/286
Calculate prob of sequence qqqu when four letters picked without replacement from {u: 1, q: 19}.
1/20
Four letters picked without replacement from hhhhhhhhhh. Give prob of sequence hhhh.
1
What is prob of sequence siis when four letters picked without replacement from sisiiiiiiiiisiii?
3/14 | {
"pile_set_name": "DM Mathematics"
} |
eplacement from vwccavwwa. Give prob of sequence vwwv.
1/252
Four letters picked without replacement from {m: 7, v: 12}. What is prob of sequence mmmm?
35/3876
Two letters picked without replacement from gmwgxim. What is prob of sequence ii?
0
Three letters picked without replacement from cvvcccccc. Give prob of sequence vcc.
1/6
Four letters picked without replacement from aqujqyuyjjyquuia. Give prob of sequence jyjq.
9/7280
Three letters picked without replacement from ugaaugavonau. Give prob of sequence vug.
1/220
What is prob of sequence bkm when three letters picked without replacement from bmmbmkymmyyymyyyyby?
1/323
Three letters picked without replacement from uzuzruzrzzzz. What is prob of sequence zru?
7/220
Calculate prob of sequence mkll when four letters picked without replacement from {m: 1, y: 1, l: 1, k: 3, x: 1}.
0
Four letters picked without replacement from ccxsxjhs. Give prob of sequence ccjs.
1/420
Four letters picked without replacement from {j: 3, p: 12}. What is prob of sequence jjjp?
1/455
What is prob of sequence rr when two letters picked without replacement from {b: 7, r: 2}?
1/36
Calculate prob of sequence mvm when three letters picked without replacement from mmmmmmmtvmmmmmmm.
13/240
Calculate prob of sequence ppcc when four letters picked without replacement from pcppcccppppcpppp.
55/1092
What is prob of sequence igts when four letters picked without replacement from {t: 2, g: 1, i: 1, s: 1}?
1/60
What is prob of sequence ymui when four letters picked without replacement from {i: 4, u: 10, m: 2, y: 3}?
5/1938
What is prob of sequence nz when two letters picked without replacement from zzznzzznznznznznzzz?
13/57
What is prob of sequence yyvv when four letters picked without replacement from vvvyyvy?
3/35
Three letters picked without replacement from {v: 2, z: 4, s: 1}. Give prob of sequence vvz.
4/105
Calculate prob of sequence px when two letters picked without replacement from {y: 2, u: 5, p: 1, x: 2, o: 2, v: 1}.
1/78
What is prob of sequence npno when four letters picked without replacement from {o: 7, n: 5, p: 7}?
245/23256
Four letters picked without replacement from xzlzlllzzzzlzldzz. Give prob of sequence zzdl.
9/1190
Two letters picked without replacement from {q: 3, a: 1, f: 3, z: 6, u: 1, h: 3}. What is prob of sequence uq?
3/272
What is prob of sequence na when two letters picked without replacement from nnnnnnnnnnann?
1/13
Two letters picked without replacement from {o: 5, r: 3, x: 3, b: 2, d: 5}. What is prob of sequence rb?
1/51
Three letters picked without replacement from lllrllrlll. Give prob of sequence rrl.
1/45
Four letters picked without replacement from {b: 3, o: 1, w: 6, j: 1, m: 2, k: 2}. What is prob of sequence bjwk?
1/910
Calculate prob of sequence oo when two letters picked without replacement from ooooccooooocooocooc.
91/171
Four letters picked without replacement from {f: 1, g: 4, q: 1, v: 9}. Give prob of sequence gvfv.
4/455
Calculate prob of sequence aa when two letters picked without replacement from gaafgafaaagagaaaaf.
55/153
Two letters picked without replacement from {e: 2, d: 7, s: 11}. What is prob of sequence ee?
1/190
Calculate prob of sequence aap when three letters picked without replacement from {u: 1, w: 1, a: 3, o: 1, p: 3, n: 2}.
1/55
What is prob of sequence uud when three letters picked without replacement from dgguud?
1/30
What is prob of sequence ak when two letters picked without replacement from ffahhrk?
1/42
Two letters picked without replacement from {s: 2, b: 4, y: 4, h: 2}. What is prob of sequence bs?
2/33
Calculate prob of sequence udmp when four letters picked without replacement from rucdmmp.
1/420
What is prob of sequence ogy when three letters picked without replacement from {y: 2, o: 2, g: 2}?
1/15
Two letters picked without replacement from nhhnnnnnnnnnnhhnnnh. What is prob of sequence nh?
35/171
Calculate prob of sequence tttt when four letters picked without replacement from ttttt.
1
What is prob of sequence aki when three letters picked without replacement from {i: 2, r: 3, a: 1, k: 12, z: 1}?
4/969
What is prob of sequence qt when two letters picked without replacement from {q: 1, y: 1, t: 1, s: 1, d: 2, u: 1}?
1/42
What is prob of sequence dds when three letters picked without replacement from {n: 4, d: 2, s: 3, g: 10}?
1/969
Two letters picked without replacement from auuunnuuuuuunuuuuauu. Give prob of sequence nn.
3/190
Two letters picked without replacement from {d: 6, x: 1, t: 1, w: 3, h: 3}. What is prob of sequence dd?
15/91
Calculate prob of sequence qx when two letters picked without replacement from {x: 2, q: 1}.
1/3
What is prob of sequence nm when two letters picked without replacement from mumpmrrmumpnpnpppppp?
1/38
Two letters picked without replacement from yjfjjjffvfffffl. What is prob of sequence vy?
1/210
Four letters picked without replacement from ppxpcxkepcxkxepeccx. What is prob of sequence peck?
5/3876
What is prob of sequence pps when three letters picked without replacement from pmpmpmsp?
1/28
Four letters picked without replacement from ebebebbebbbbbb. What is prob of sequence ebbe?
45/1001
Four letters picked without replacement from {u: 5, a: 15}. What is prob of sequence uuau?
5/646
Two letters picked without replacement from kaakzaazaaakkkk. Give prob of sequence aa.
1/5
What is prob of sequence bbbb when four letters picked without replacement from nnnnnbnbnbb?
1/330
Calculate prob of sequence jjjf when four letters picked without replacement from {t: 3, j: 7, f: 1, b: 5, v: 2}.
7/2448
Calculate prob of sequence pfp when three letters picked without replacement from {c: 3, f: 4, p: 8, h: 2}.
14/255
Three letters picked without replacement from drnnd. What is prob of sequence dnd?
1/15
What is prob of sequence ya when two letters picked without replacement from uysppsaspsssupu?
1/210
Calculate prob of sequence iat when three letters picked without replacement from {m: 3, a: 2, c: 1, i: 1, t: 3, h: 2}.
1/220
Calculate prob of sequence ccc when three letters picked without replacement from cxxxcxxxxxccxxcx.
1/56
Calculate prob of sequence sfba when four letters picked without replacement from {b: 1, a: 1, s: 1, f: 1, k: 1}.
1/120
Calculate prob of sequence uu when two letters picked without replacement from qququqqqqqqqqququq.
2/51
What is prob of sequence cp when two letters picked without replacement from uuzpcpuczzcpz?
3/52
What is prob of sequence rx when two letters picked without replacement from {b: 1, r: 7, x: 5}?
35/156
What is prob of sequence hk when two letters picked without replacement from {k: 6, m: 2, h: 9}?
27/136
Two letters picked without replacement from jrjnrnnyrrjyjjj. Give prob of sequence jn.
3/35
Calculate prob of sequence ccc when three letters picked without replacement from ccccggcgcg.
1/6
What is prob of sequence wnw when three letters picked without replacement from wknkgwvgwg?
1/120
What is prob of sequence mffa when four letters picked without replacement from {a: 2, d: 1, f: 2, o: 1, m: 1}?
1/210
Three letters picked without replacement from {k: 5, o: 4, v: 5, r: 1, d: 1}. What is prob of sequence rkd?
1/672
Three letters picked without replacement from {y: 1, e: 1, m: 6, j: 6, o: 6}. What is prob of sequence mmo?
1/38
Four letters picked without replacement from tdtthtttththtttththn. Give prob of sequence tnht.
13/1938
Four letters picked without replacement from {o: 2, k: 4, s: 8, w: 1}. What is prob of sequence kwks?
4/1365
What is prob of sequence lglg when four letters picked without replacement from {l: 7, g: 5}?
7/99
Calculate prob of sequence acc when three letters picked without replacement from ayzzczziz.
0
What is prob of sequence mz when two letters picked without replacement from mzzwwzzm?
1/7
What is prob of sequence llbl when four letters picked without replacement from {l: 5, b: 2}?
1/7
Four letters picked without replacement from {v: 3, l: 4, a: 2}. Give prob of sequence aalv.
1/126
Three letters picked without replacement from {b: 1, c: 2, l: 5, g: 1}. Give prob of sequence bcc.
1/252
Calculate prob of sequence rz when two letters picked without replacement from {a: 1, r: 1, d: 1, z: 1, j: 1}.
1/20
What is prob of sequence dc when two letters picked without replace | {
"pile_set_name": "DM Mathematics"
} |
ose 2*h = g*v - 4, -5*h = -v - 5 - 5. What is the units digit of v?
5
Suppose 4*k + n = 2851, -4*n + 406 = k - 318. What is the tens digit of k?
1
Let z = -798 - -1468. What is the units digit of z?
0
Suppose -237 = 6*v - 1557. Suppose 0*s = -4*s + v. What is the tens digit of s?
5
Suppose -3*x = -2*x - 2*b - 13, -4*x + 22 = -2*b. Suppose -x*p - 54 = 30. Let z = -15 - p. What is the units digit of z?
3
Suppose 0 = 44*m - 42*m - 660. What is the units digit of m?
0
Let s be (-18)/(-1) + (-3 - -5). Let z be (s/50)/(2/(-20)). What is the units digit of z/3*(-39)/2?
6
Let j(h) be the first derivative of -h**4/4 + h**3/3 - h**2/2 + 41*h - 4. Let n be j(0). Let p = n - 17. What is the units digit of p?
4
What is the units digit of 630/(-189)*6627/(-5)?
8
Let q(y) = -8*y - 33. Let j(v) = -32*v - 133. Let c(l) = 2*j(l) - 9*q(l). What is the hundreds digit of c(19)?
1
Suppose -5*v = -8*v - 24. Suppose -3*u - 3 = 0, 6*f - 51 = 2*f - u. Let h = f + v. What is the units digit of h?
5
Suppose 6*i - 14 = 22. Suppose -2*o - i = 0, -3*o - 619 = c - 6*c. What is the hundreds digit of c?
1
Suppose -4*d + 50 = -7*w + 2*w, 0 = 2*w - 3*d + 27. Let u(h) = -7*h + 12. What is the units digit of u(w)?
4
Let l(j) = -j**3 - 4*j**2 + 9*j + 8. Suppose 2*o - 19 = 5*x - 0*x, 3*x + 3*o + 3 = 0. Let w be (15 + x)*2/(-4). What is the tens digit of l(w)?
2
Suppose -11 + 23 = 3*d. Suppose 141 = 4*c + y, -3*c - d*y - 48 = -5*c. What is the units digit of c?
4
Let a(i) = -i**3 + 19*i**2 - 19*i - 10. Let w(j) = -j**2 + j - 2. Let g(m) = -a(m) - w(m). What is the tens digit of g(17)?
2
Let r = -2 + 20. Suppose -c + r = -5*x, -2*c = -0*c + 4*x + 6. Suppose -9 = -3*h + c*u, 6*h - 2*u = 2*h + 16. What is the units digit of h?
5
Let a(k) = -k**2 + 9*k - 15. Let n be a(10). Let l = n - -88. What is the units digit of l?
3
Let f = -21 - -24. Suppose 2*b + f*b - 135 = 0. Suppose 6*o = 117 - b. What is the units digit of o?
5
Suppose -3*u - 27*k + 32*k = -10106, -6748 = -2*u - 2*k. What is the tens digit of u?
7
Let p(u) = -u**2 - 13*u - 10. Let x be p(-9). Suppose -6*v - x = -38. What is the units digit of v?
2
Let b = 106 + 536. What is the units digit of b?
2
Let s(p) = -p**3 + 4*p**2 + 15*p + 27. What is the units digit of s(-8)?
5
Let k(a) = -a**3 + 8*a**2 - 6*a - 3. Let h be k(7). Suppose j - 209 = -4*j - 3*q, 0 = -h*j - q + 163. What is the tens digit of j?
4
Suppose 0 = -5*b - 23 - 17. Let m be ((-341)/44)/(2/b). Suppose -2*s + 17 = -m. What is the units digit of s?
4
Let f(d) = -4*d + 17. Let q be f(7). Let c = q + 34. What is the tens digit of c?
2
Let b = 17 + -17. Let l be b/(1 + (-3)/1). Suppose 3*z - 39 = -3*f, l = 4*f - 0*f - z - 32. What is the units digit of f?
9
Let u = 9 + 288. What is the units digit of u?
7
Let o(n) = -5*n - 4. Let y(k) = k + 1. Suppose m - 30 = -4*m. Let v(a) = m*y(a) + o(a). What is the units digit of v(5)?
7
Suppose -191 = -3*c + 346. What is the tens digit of c?
7
Suppose -26*w - 2 = -522. What is the units digit of w?
0
Suppose -4*l + 7820 = -4*c, -2*l = -4*c - 1352 - 2554. What is the units digit of l?
7
Let i(b) = 8*b**2 - 25*b + 180. What is the hundreds digit of i(6)?
3
Let b = -52 - -49. What is the units digit of ((-1)/(-4)*131)/(b/(-12))?
1
Let t = 0 - 4. Let z(v) = -10*v - 4. What is the tens digit of z(t)?
3
Suppose -186 - 48 = -9*x. What is the tens digit of x + -2 + 12/(-4)?
2
Let q be ((-2)/3)/((-14)/357). Suppose q = 5*z + 2. Suppose z*u - 2*p = -u + 130, -3*p = -4*u + 133. What is the tens digit of u?
3
Let z(s) = 3*s**2 - 6*s - 57. What is the units digit of z(-4)?
5
Suppose -49*c = -47*c. Suppose c*u + 192 = 3*n + 3*u, 3*n - 187 = -4*u. What is the tens digit of n?
6
Let x = 165 - 63. Suppose 5*i - 10 - 10 = 0. Suppose i*k - 3*d + 17 = x, 0 = -3*d + 15. What is the tens digit of k?
2
Suppose 4*r + 2*k = 3*k + 2193, 532 = r + 3*k. What is the units digit of r?
7
Let k be (-6)/(3/(-6) + -1). Let l be 2*(k/8 - 1). What is the tens digit of l/2*14*-5?
3
Suppose 2*s + 3468 = -10*s. Let d = s - -504. What is the hundreds digit of d?
2
Suppose 5*v = -w + 3138, -w + 4*v = -2280 - 867. What is the tens digit of w?
4
Let v(n) = 38*n**2 - n - 1. Let j be v(-1). Let k be (-322)/(-42) + 2/(-6)*2. Suppose -j - k = -3*x. What is the units digit of x?
5
Let j(n) = 0 + 0*n - n + 12. Let h be 105/20 - 1/4. What is the units digit of j(h)?
7
Let u(d) be the second derivative of d**3/2 + 7*d**2 + 11*d. What is the units digit of u(15)?
9
Suppose 27940 = 14*v - 4*v. What is the units digit of v?
4
Suppose -h + 3 - 4 = 0, -11 = -2*z + 5*h. Suppose 0 = -z*x - 43 + 460. What is the tens digit of x?
3
Let t = -65 - -6. Let q = -37 - t. What is the units digit of q?
2
Let p = 42 - 39. Let c = p + 39. What is the tens digit of c?
4
Let m(a) = -17*a - 7*a - 30 + 36*a. What is the units digit of m(12)?
4
Let n = -10 + 51. Suppose -9 + n = 4*m. Suppose 3*q - m*q = -70. What is the units digit of q?
4
Suppose 3*y = 5*s - 35, 7*s - 3*s + y - 11 = 0. Suppose -2 = -2*m + m. Suppose -25 = -2*t + 5*h, m*t - s = -0*h - 2*h. What is the units digit of t?
5
Let t(r) = -r**3 - 11*r**2 + 2. Let y be t(-11). What is the tens digit of (y + -3 + (-6)/(-8))*-148?
3
Let i(d) = -1126*d + 23. Let k be i(5). What is the units digit of (-33)/(-12) - 3 - k/28?
0
What is the hundreds digit of (-29)/116 + 5498/8?
6
Suppose 187*y + 3824 = 195*y. What is the hundreds digit of y?
4
Suppose 5661 = 4*y - 3*c, 0*c + 4*c = 2*y - 2818. What is the tens digit of y?
1
Suppose 5*m + 962 = 2*w, -w - 6*m + 483 = -9*m. What is the hundreds digit of w?
4
Let x(k) = 2*k + 2. Let h be x(-1). What is the units digit of 38/3*6/1 - h?
6
Let w = 2788 + -1685. What is the hundreds digit of w?
1
Suppose 3*p - 920 = -5*p. Suppose 365 = 5*o - p. What is the units digit of o?
6
Suppose 0*c - 5*c = f - 12, -5*c = 2*f - 9. Let v = f + 7. Suppose v*i - 3*u - 8 - 47 = 0, 0 = 2*i + 4*u. What is the units digit of i?
0
Let n = 169 + -70. What is the tens digit of n?
9
Suppose -7*i + 4*i = 0. Suppose i = -7*w - 779 + 1997. What is the units digit of w?
4
Let g(z) = 5*z**2 - 23*z - 7. Let j be g(5). Suppose -3*f + 10 = -5. Suppose -x + 4 = 2*l - 56, j*l - 293 = -f*x. What is the units digit of x?
8
What is the units digit of (953/(-3))/(((-14)/6)/7)?
3
Let p(o) = -90*o - 1. Let w be p(-1). Let d = w - -17. What is the units digit of d?
6
Suppose 15 = -4*s + 7*s. Suppose 3 = -p - 3*j + 12, s*j = p + 7. Suppose p*z - 10 = 41. What is the units digit of z?
7
Let j(l) = l**3 + 15*l**2 - 14*l + 16. What is the tens digit of j(-15)?
2
Let i = 854 - 461. What is the tens digit of i?
9
Let l = -18 + 25. Let z(q) = -3*q - 2*q**2 + 3*q**2 - 2*q + 2*q + 5. What is the tens digit of z(l)?
3
Suppose 0 = -0*q - 2*q + 4. Suppose 2*b + q*b - 204 = 0. What is the units digit of b/(-2)*24/(-18)?
4
Let o be (6/8)/(2/8). Suppose -5 = -o*t + 13. Suppose -2*f = -t - 12. What is the units digit of f?
9
Suppose 5*x - 4 = 4*x. What is the tens digit of x + 250/(-65) + (-1660)/(-26)?
6
Suppose -54*a - 29069 + 154673 = 0. What is the tens digit of a?
2
Let o = -110 + -16. Let t = -99 - o. What is the tens digit of t?
2
What is the units digit of (2/(-6))/(2/(-1542))?
7
Suppose -3*p = -6*p - 87. Suppose 5*g - 64 + 419 = 0. Let f = p - g. What is the tens digit of f?
4
Let f(b) = -1108*b + 13. What is the thousands digit of f(-1)?
1
Suppose 0*f = -3*f - 390. Let p = 254 + f. What is the hundreds digit of p?
1
Let w(k) = 8*k**2 - 2*k + 3. Let f be w(4). Suppose f = 5*l - 4*i - 541, 0 = -5*l - 2*i + 688. What is the hundreds digit of l?
1
Suppose -60*z - 138 = -61*z. What is the hundreds digit of z?
1
Let o be (-16)/(-10)*(-17 + 12). Let z = o - 9. Let v = z - -35. What is the tens digit of v?
1
Suppose -2*q + 6 = 0, -2*n + 5*q = -0*n + 7. Suppose 189 = n*w - 35. What is the tens digit of w?
5
Let w(r) = -r**2 - 46*r + 107. What is the hundreds digit of w(-36)?
4
Let o(l) = -13*l + 65. What is the hundreds digit of o(-17)?
2
What is the units digit of ((-16)/4 - 1938)*(-2)/4?
1
Let c = -9 - -18. Let j be (-220)/(-12) + (-3)/c. Let q = -9 + j. What is the units digit of q?
9
Let q = -88 + 51. Suppose 0 = 59*o - 3219 - 498. Let r = o + q. What is the tens digit of r?
2
Suppose 858*m - 91056 = 834*m. What is the tens digit of m?
9
Let t(n) = -2*n | {
"pile_set_name": "DM Mathematics"
} |
63?
-59423.297
Subtract -1662.49 from -17879.
-16216.51
Calculate -689.40025 - 0.3.
-689.70025
Calculate 1.238 - 1088827.
-1088825.762
Add together -135 and -7632163.
-7632298
What is the difference between -8335 and 1231515?
1239850
What is -1434978 + -0.3?
-1434978.3
What is -1.7 minus -238277.3?
238275.6
Work out 1005845 + 1790.
1007635
What is the difference between -447.6 and 72?
519.6
Calculate 2484 + 0.16754.
2484.16754
2.16495 + -1673
-1670.83505
What is the distance between -1802.13 and -2858?
1055.87
Put together 963874 and -9326.
954548
Work out 2304371064 + -4.
2304371060
Add 4485050 and 16.19.
4485066.19
Add 3613505 and 1.
3613506
Work out -63.28930044 + -0.2.
-63.48930044
What is 14 minus 3391987?
-3391973
What is 0.576384 less than 8739?
8738.423616
38167419 + -3
38167416
Work out -1.62 - 18257003.
-18257004.62
What is -499152 - 1?
-499153
Sum 25.3993 and 662.
687.3993
What is -8 - 214.5441?
-222.5441
What is -29941 take away 0.1468?
-29941.1468
Add together 206567.9 and 197.1.
206765
Work out -679.090837 + 1.6.
-677.490837
Put together -14703252 and 257.
-14702995
Sum 0.0268 and 111.933.
111.9598
What is 99.7369 + 56?
155.7369
What is the difference between 0.359359428 and -19?
19.359359428
What is -0.01 minus -14.32788849?
14.31788849
What is -6 + -19675869578?
-19675869584
-75.94 + 82.7
6.76
What is 0.707 - 6702.67?
-6701.963
-15.488567 - -3
-12.488567
Subtract 3 from 2057418402.9.
2057418399.9
Calculate -248.3365 - 16.7.
-265.0365
Total of -0.5 and 5042805.
5042804.5
Work out 3.23285983 - -1.
4.23285983
-454717434 + -5
-454717439
What is -1306 take away -17359201?
17357895
Add -312 and 7.522.
-304.478
Sum -0.0572 and -93074.
-93074.0572
Sum -2049440 and 0.5.
-2049439.5
Calculate 72 + 28.739716.
100.739716
-16873+-1345
-18218
7 - 11024209
-11024202
Subtract 14543.635 from 0.112.
-14543.523
Subtract -5 from -114.005183.
-109.005183
What is -15216 minus 0.392?
-15216.392
-0.3488508146+-3
-3.3488508146
What is -1.2 - 14.66167?
-15.86167
What is -2.25 less than -2461277?
-2461274.75
Add 0.1 and -14960125.
-14960124.9
Calculate 2247921227 + 0.03.
2247921227.03
What is the difference between -0.4 and 3.3650189?
3.7650189
Add together -48.5610753 and 0.9.
-47.6610753
Put together -0.069 and 3569.0125.
3568.9435
Add together -5 and 1192204.525.
1192199.525
What is -14.695545 - -1.3?
-13.395545
Add together -4 and 0.34206061.
-3.65793939
-1.1 + 6457072
6457070.9
Work out 1.321 + 0.101114.
1.422114
What is -2615 less than 2289839?
2292454
Total of -366 and 339839052.
339838686
Sum 174 and 22413.5.
22587.5
What is -1.1 plus -631023532?
-631023533.1
Calculate 0.628 - 2884433.
-2884432.372
What is 10.923496 take away 63?
-52.076504
Put together -1.19298756 and 38.
36.80701244
Add -40577 and 234262.
193685
Sum 512066.2 and 0.4.
512066.6
What is -0.1191165 - 0.06276?
-0.1818765
What is 6330618 less than -505?
-6331123
What is 143685 + 53?
143738
Subtract 0.3 from 0.06080812.
-0.23919188
What is -0.31 plus 14.060956?
13.750956
Calculate 0.67 - 174379593.
-174379592.33
-0.7 + 27.24078
26.54078
What is 1169212 take away -0.32?
1169212.32
What is the distance between 113030743 and -3?
113030746
What is -1.692131 minus 3.02?
-4.712131
Work out -128.17 - -2.95.
-125.22
What is the distance between -5881723 and 2?
5881725
Work out 211637 + 90486.
302123
3100.7 - 1.3538
3099.3462
What is -0.36727 plus 163.3?
162.93273
What is the difference between 0.08 and 351.79006?
351.71006
Work out -40838.85 - -677.
-40161.85
-0.012433760959+-0.4
-0.412433760959
What is 16129 - -5491.3?
21620.3
Subtract 994850 from -1283.
-996133
Work out -41133.33 + -2.5.
-41135.83
Total of -3124 and -181974.
-185098
Total of 40 and -49698683.
-49698643
What is the distance between -734.5736 and 4?
738.5736
Calculate 11714.4 - -174.
11888.4
Work out -20 - 0.382991694.
-20.382991694
What is -1013087 plus 2600?
-1010487
What is the distance between 23 and 6614538?
6614515
What is the difference between 0.1 and -936392.58?
936392.68
Total of 0.2 and 562.2568.
562.4568
Work out 193800 - 980.
192820
What is -35.5669 - 3.7?
-39.2669
Put together 2323 and -639705.
-637382
0.1 - 2.81659625
-2.71659625
What is -0.04 plus -55673?
-55673.04
21430 - -0.8
21430.8
What is the difference between -15.0529698 and -75?
59.9470302
-1988609+17013
-1971596
What is 20.147427 take away -0.3?
20.447427
Work out 1078885 + 1.78.
1078886.78
Sum 4686 and 0.7978692.
4686.7978692
-119674 + 54.07
-119619.93
Total of -3183968 and -0.04.
-3183968.04
-121789945.75+0.4
-121789945.35
2551196 + 36
2551232
Total of -7586 and 18404.
10818
What is -0.12 plus -891147?
-891147.12
Work out 2095941630 + -1.
2095941629
What is 164060395 minus 5?
164060390
Total of 43.3 and -22444.
-22400.7
What is the distance between 65375 and 5366?
60009
Work out -3467 + 11606889.
11603422
What is -20238887785 plus 0?
-20238887785
-105944258.7 - 5
-105944263.7
Work out 1443 - 34516316.
-34514873
What is 0.03 + 0.200835527?
0.230835527
What is -738122732 - 0.06?
-738122732.06
What is -2 plus 0.08146448?
-1.91853552
Sum 24611.24 and -0.11.
24611.13
What is 58374703 minus 1?
58374702
Work out 0.4 - -218749192.98.
218749193.38
Work out 18 - 917881.
-917863
0.12 + 1108443232
1108443232.12
What is the difference between -49078 and 129?
49207
What is 0.026 take away -1716510?
1716510.026
What is 16 less than 60584?
60568
Work out -34 - 25.00997.
-59.00997
What is -0.558 + 29382?
29381.442
Work out 3025141 - 0.11.
3025140.89
What is 412 plus -1574020?
-1573608
What is -57 take away -27903.358?
27846.358
Work out 582.758 - 0.5.
582.258
-100025 + 0.0147719
-100024.9852281
Add -14.263 and -126.9.
-141.163
What is the difference between 3 and 372674?
372671
What is the difference between 0.64485 and 4284?
4283.35515
Sum -21 and -19525229.
-19525250
-3161.8702 + -2
-3163.8702
Subtract -339702 from 3.45.
339705.45
What is the difference between 748.5 and 296.6?
451.9
Work out 33433.4 + 440.
33873.4
What is 6701338 minus -2?
6701340
333435574 + 3
333435577
-7341327 + 9.1
-7341317.9
Put together -9.7794 and -58.
-67.7794
Add together 147067.78 and 4.
147071.78
Add together -0.263 and 37863.
37862.737
19719.5 - -111
19830.5
Add together 15 and 24215238.
24215253
2.7 + 798.28072
800.98072
What is -75238906 - 0.2?
-75238906.2
What is the difference between 4.83 and 7289055?
7289050.17
What is 305301.9 less than -0.1?
-305302
What is the difference between 295778167744 and -0.5?
295778167744.5
-228006+1026.13
-226979.87
What is -281633607 take away -0.3?
-281633606.7
0.4 - -0.30344617685
0.70344617685
What is 985476 less than -0.016139?
-985476.016139
Work out -17 + 45.76955.
28.76955
What is the distance between 26 and -1654473.597?
1654499.597
Add -5154.43 and -6.
-5160.43
534192880+0.5
534192880.5
Calculate -12.793 + 75.5.
62.707
What is the difference between -327772 and 140.47?
327912.47
Calculate 0.4 + -15437348.
-15437347.6
What is the distance between -0.1 and 227.07412?
227.17412
What is 7243.26 - 2175?
5068.26
Add together -492 and -16412944.
-16413436
Add together -684.19 and 6444.
5759.81
-0.12 - 2471.22
-2471.34
Calculate -2 + 758011.74.
758009.74
4470.67+1320
5790.67
3.0381 + 13670
13673.0381
What is 506.66 take away -212504?
213010.66
What is -3 minus -1042037577?
1042037574
Work out -37637 + -46612.
-84249
-1158 + 0.88958
-1157.11042
What is -3 minus 55642419?
-55642422
28677 + -1
28676
Add together -5354757245 and 0.
-5354757245
Add 4 and -275263.4.
-275259.4
Sum 154 and 215125484.
215125638
What is the distance between 54341 and -0.3?
54341.3
Work out -16 + 417467578.
417467562
What is 9241 take away 1332?
7909
Sum -141.956 and 28.
-113.956
What is -0.9 plus 0.7001845?
-0.1998155
Calculate 766220 + 1987.
768207
What is -0.79433 + 5.77?
4.97567
Work out 69 - 0.01772323.
68.98227677
What is -186780 - -0.023?
-186779.977
Work out -43 + -64098346.
-64098389
Sum 6441 and -46275.
-39834
-6452 + -13987
-20439
Subtract -7301737 from -5.4.
7301731.6
Total of 306045 and 0.09298.
306045.09298
Work out -114.4660435 - -0.59.
-113.8760435
What is the difference between 2808608 and 193?
2808415
Work out 39737268215 - -1.
39737268216
Work out -0.1355 + 1.90835.
1.77285
Subtract -243268 from -15.1.
243252.9
Calculate -260 - 104213.
-104473
Work out | {
"pile_set_name": "DM Mathematics"
} |
)). Suppose 12*t - 158 + 14 = y. Solve 0 = -2*h - 2 + t for h.
5
Let y = -203 + 205. Solve 0 = -y*p - 2 - 0 for p.
-1
Suppose -3*p + 0*f + 19 = 2*f, 0 = 3*f - 15. Solve -p*i - 11 = -5 for i.
-2
Let v(z) = 4*z**2 + 138*z + 27. Let h be v(-35). Solve 100 = l + h for l.
3
Suppose -4*v + 16 = -3*a, -2*a + v = 4*v - 12. Solve m + 27 - 32 = a for m.
5
Suppose -2*g - 300 = 5*n, n + 2*g + 0*g + 68 = 0. Let c = 63 + n. Solve -3*k + c*k = -10 for k.
-5
Suppose 16*u - 40 = -24*u. Suppose w - 38 = -6. Suppose -4*f - w = -12, f = 3*z - 5. Solve z = -0*p - p - u for p.
-1
Let g = -16 + 7. Let j = -9 - g. Solve j = 3*c + 3 - 6 for c.
1
Suppose 0 = f - 10 + 5. Suppose -a - 9 = -4*k, -3*k = k + f*a - 3. Solve k*n - 3 = 3*n for n.
-3
Suppose -13*q + 80 = 3*q. Let j = -13 - -9. Let m(f) = 2*f**2 + 6*f + 1. Let x be m(j). Solve q*o = -1 - x for o.
-2
Let g(t) = t + 36. Let y be g(-26). Let z be 5/(-10) + y/4. Solve 5 = -z*v - 1 for v.
-3
Suppose 2*v - 19 = -1. Let l be (0/8)/(-2*(-9)/6). Solve l = 5*k + 16 + v for k.
-5
Suppose -f - 4*m = -3*f - 32, 0 = -f - 5*m - 30. Let n = 23 + f. Solve 2*t - n = 5 for t.
4
Suppose -2*t - 2*c = -10, c = -3 + 2. Solve -3*z = t - 3 for z.
-1
Let o be (9*(0 + -2))/1. Let u = o - -14. Let l be 0 + (0 - 4/u). Solve b + 0 + l = 0 for b.
-1
Let r(x) = -x**2 + 3*x - 4. Let a be r(4). Let z = 13 + a. Suppose z*s = 8 + 2. Solve 1 = g - s*g for g.
-1
Suppose -t + 4*c + 31 = 0, 2*t = 7*t - 3*c - 121. Suppose 0 = 5*u - 7 - t. Solve -2*q + 4 = -u*q for q.
-1
Let z = -1029 - -1035. Solve -o + 2 = z for o.
-4
Let c be 0 - 8 - (-40 + 9). Solve 10*s - c*s = 0 for s.
0
Suppose -8*j + 8*j = -5*j. Solve j = -18*o - 32 - 40 for o.
-4
Suppose 0*m + 4 = m. Let n be (24/(-10))/(2/60). Let h = n + 73. Solve -m*t - 3 = h for t.
-1
Let k = 21 + -13. Let q = 8 - k. Suppose q = -3*b - 5*y + 1, -4*b - 2*y - y + 5 = 0. Solve -n - n + b = 0 for n.
1
Suppose -160 = -6*x - 46. Solve 15 = 22*t - x*t for t.
5
Let k = 15 + -10. Suppose 4*r = 4*p + 116, -k*p = 2*r - 35 - 23. Let m = r - 27. Solve -x = -m + 4 for x.
-2
Let d(g) = -3*g + 1. Let l be d(-4). Solve -l*b - 4 = -9*b for b.
-1
Suppose 3 = -3*x + r - 4*r, 18 = 2*x - 2*r. Let f be 8/12 + (-2)/3. Let l = f + x. Solve -l*a = -9 - 3 for a.
3
Let d(v) = -2*v**3 - 67*v**2 - 32*v + 33. Let a be d(-33). Solve a = -24*o + 19*o - 20 for o.
-4
Let b = -597 - -764. Solve -b*u + 3 = -164*u for u.
1
Let w(d) = -d**3 - 6*d**2 + 6*d - 2. Let g be w(-7). Suppose 0 = 4*a + g*v + 12, -2*a = -0*a - 4*v - 20. Suppose 4*o - a - 10 = 0. Solve 5 = -4*j - o for j.
-2
Let k = 0 + 28. Suppose -4*f = -8*f + k. Solve 5*g + 8 = -f for g.
-3
Suppose -15*s = -17*s + 8. Let n = 1 + s. Solve -2*x = 3*x - n for x.
1
Suppose -5*f = 2*s - 22, 7*f - s - 11 = 4*f. Suppose b - 16 = -t, -3*t + 0*t - 2*b + 51 = 0. Let v = t - f. Solve w + v = 6*w for w.
3
Let v(s) = -11*s + 86. Let y be v(6). Let b = -21 + 23. Solve -3*f - y = b*f for f.
-4
Let g be (-1)/(((-18)/(-32))/(-9)). Let a(k) = 0*k - g - k + 2*k + 2*k. Let f be a(7). Solve -f*r - 4 = 16 for r.
-4
Let m(g) = 7*g - 39. Let q be m(6). Suppose s - 9 = 5*n - 23, 18 = 3*n - q*s. Solve n*o + 1 = 3 for o.
1
Let u = 261 + -259. Solve u*z + 3 = -z for z.
-1
Let f(l) = -3*l + 16. Let s be f(4). Suppose -2*k = -3*k + 2. Suppose k*g - 2*b - 10 = 0, -2*b = 4 + 6. Solve -u - s = -g*u for u.
-4
Let m(n) = -3*n**2 + 6*n - 2. Let w be m(3). Let h be 93/33 - 2/w. Solve 0 = h*l - l + 8 for l.
-4
Let h be 9/(-18)*(-6)/(-1) + 3. Solve -3*t + 2*t - 3 = h for t.
-3
Let f = -454 - -466. Solve 5*u + u = -f for u.
-2
Let i = -4 + 18. Let b be (-12)/i*70/(-20). Solve 0 = -b*j - 0*j for j.
0
Let v(l) = 14*l**2 - l. Let c be v(1). Let b(h) = h - 3*h + 2*h + c + h. Let n be b(-10). Solve -5*m + 2 + n = 0 for m.
1
Let s(p) be the third derivative of -p**4/12 + p**3/3 - 9*p**2. Let r be s(-4). Solve -2*z + r = 3*z for z.
2
Suppose -16*y + 38 + 42 = 0. Let k = -18 + 20. Solve 7 - k = y*b for b.
1
Suppose 3*r - d = -5*d + 89, -r + 31 = d. Suppose r = -6*f + f. Let o = 5 - f. Solve o = z - 4*z for z.
-4
Suppose 5*l + 10 = q, -25 = 4*l - 5*q + 4. Let w be (3 - -4) + l + 2. Solve -g - 3*g = -w for g.
2
Suppose 4*r - 9*r = -5*c, -c = 5*r - 12. Solve 0*v - r*v - 2 = 0 for v.
-1
Let b(n) = 2*n**3 + n**2 + 18*n - 28. Let s be b(2). Solve 0 = -35*h + s*h for h.
0
Suppose -131*c + 123*c = -24. Solve -c*r + 28 = 4*r for r.
4
Suppose -f + 80 - 346 = 0. Let y be f/10 - (-39)/65. Let x = -26 - y. Solve x = 3*j - 6*j - 12 for j.
-4
Suppose 44 = 65*g - 54*g. Solve s - 3*s - g = 0 for s.
-2
Suppose 5*l + 33 - 163 = 0. Let g = l - 21. Solve 0 = -4*z + 17 - g for z.
3
Let m(s) = -11*s + 95. Let b be m(6). Solve -4*w + b = 37 for w.
-2
Let d(k) = k**3 - 49*k**2 + 48*k + 2. Let f be d(48). Solve -9*s - 22 = f*s for s.
-2
Let v = -90 - -92. Solve -5*i - 3 = v for i.
-1
Suppose 0 = 2*y - 5*k - 772 + 191, 582 = 2*y - 4*k. Solve y*z + 25 = 288*z for z.
-5
Let t = -941 - -952. Solve -t*a = -16*a - 25 for a.
-5
Suppose -11*n = 4*l - 16*n, 4*l = n. Let y(r) = -r**2 + 6*r - 3. Let w be y(2). Suppose -20 + w = -5*f. Solve f + l = h for h.
3
Let q be (-64)/48*(-3)/(2 + -1). Solve 2 + 10 = -q*l for l.
-3
Let p be (-2)/(-12) - 6254/(-708). Solve -q = -p + 5 for q.
4
Let d(c) = -5*c**3 + 2. Let z be d(-2). Suppose -2*b = -b - 2*k + 21, 4*k = -2*b - z. Let a be 8/28 + 6/b. Solve a = -p - p + 10 for p.
5
Suppose -3*k + 4*u + 9 = -u, 3 = k + 2*u. Suppose k*i = 6 - 0. Solve -i + 5 = v for v.
3
Let u be ((-78)/15)/(((-50)/(-5))/(-150)). Solve -3*j + 81 = u for j.
1
Suppose 93*x - 11*x = 820. Solve x*w = 19*w - 18 for w.
2
Suppose -123*b = -118*b - 10. Solve s = b*s for s.
0
Let r be 0/(2 + 0/1). Let f be 8/12 - (-2)/(-3). Let y(q) = -q**2 - q + 2. Let s be y(f). Solve -5*h + s - 22 = r for h.
-4
Let u = 1116 + -1112. Solve -5*j - u = 1 for j.
-1
Let h be (-6)/(-21) - (-4)/(-14). Solve 8*v + h - 8 = 0 for v.
1
Let q be (-4)/14 - (-1270)/(-14). Let r = -70 - q. Solve -r = -5*i - 1 for i.
4
Let p be 6/(-21) - 2268/(-49). Suppose p + 34 = 4*f. Solve -3*j + f = j for j.
5
Suppose -n + 3*n = 5*i - 8, 4*n + 16 = -3*i. Suppose -2*q = -i*q - 16. Let s = q + -5. Solve 3 = -s*d - 3 for d.
-2
Let i(j) be the third derivative of -j**6/120 + j**5/30 + j**4/8 + j**3/3 + 13*j**2. Suppose 0 = f - 1 - 2. Let n be i(f). Solve n = 2*v - 2 for v.
2
Suppose -4*q + 2*x + 4 = 0, 14*x = 13*x + 4. Solve -d - 8 + q = 0 for d.
-5
Let k be 0 + (-16)/(-4) - 0. Suppose 3*i + 4*o = 9, 0 = -k*i + 3*i - 2*o + 3. Let u = 1 + i. Solve u*r - 9 = -1 for r.
2
Suppose 7*v - 37*v + 210 = 0. Solve 5*s + 8 = v*s for s.
4
Let m be (-27)/(-12) - (-4)/(-16). Suppose -m*v = v. Suppose -3*w - 4 = -a, 3*w + 4*a = -v*w + 16. Solve 2*h - 7*h - 20 = w for h.
-4
Suppose q + 60 = -5*q. Let j be 24/(-20) - 2/q - -3. Solve -j*y + y = -2 for y.
2
Suppose 46 = 5*o - 2*a, 7*o + 3*a = 4*o + 15. Let g = o + 6. Let t = 17 - g. Solve t*q - 7*q + 16 = 0 for q.
4
Suppose -34*u = -5*u - 290. Solve -u*s + 12*s = -6 for s.
-3
Let h(z) be the first derivative of -z**2/2 + 13*z + 13. Let o be h(5). Solve 0 = -2*c + 4*c + o for c.
-4
Suppose 11*u - 10*u = 4. Suppose 3*t - 5*t - 6 = 2*s, u*s + 12 = -5*t. Solve -2*f = -t*f - 10 for f.
5
Let q(f) = 3*f + 24. Let j be q(-7). Suppose n = -5*p + 23, -j*p + 8 - 5 = -3*n. Solve 5*v - 6 = n*v for v.
3
Let f be (1 + -5)/(-2) - 42*-1. Let o = 45 - f. Solve r + 2 = -o for r.
-3
Suppose -4*b + 18 + 22 = 0. Suppose -b = 2*k - 0. Let g(x) = x**3 + 5*x**2 - 2*x - 1. Let l be g(k). Solve 0 = -5*z - 1 - l for z.
-2
Suppose 3*f - 19 = 8. Let l be 3/(f/21 + 0). Let v = l + -4. Solve i = v*i - 2 for i.
1
Let i = 73 + -70. Let f = 7 - 0. Suppose -f - 17 = -i*p. Solve 4*h = -0*h + p for h.
2
Let t(y) = -y**3 + 10*y**2 + 2*y - 6. Let f be t(10). Suppose 3*w - w = -p + 7, -2*p = -3*w + f. Solve 2*k - w*k = -8 for k.
4
Suppose 2*r - 4*s - 2 + 6 = 0, 4*r + 2*s = 12. Solve r*z = -4*z - 6 for z.
-1
Suppose -5*i + 11 = 4*s - 49, -3*i = 12. Solve 25*c = 30*c + s for c.
-4
Let f = 9 + -137. Let j = 132 + f. Solve j*x = 2*x for x.
0
Suppose 8 = -4*y + 3*y. Let m be 2 - 2/y*-4. Let x be 18/6*(m + 0). Solve -r - x*r = 20 for r.
-5
Suppose 3*c = 2*u - 12, c + 1 = -u + 2. Suppose -f - 4*n - 4 = 0, u*f = 2*n + 3 - 1. Solve -3*i - 12 = -f*i for i.
-4
Let j be (-8700)/(-70) + 2/(-7). Let u = -121 + j. Solve 15 = -0 | {
"pile_set_name": "DM Mathematics"
} |
+ 339068 = 1808*y for y.
74
Solve 21711*r + 922 = 21671*r - 1638 for r.
-64
Solve -86 = -72*q + 6*q - 1251 + 241 for q.
-14
Solve -128*n + 591 = -34*n - 3357 for n.
42
Solve -154*q + 321*q = -446*q - 3418 - 2712 for q.
-10
Solve 181*s - 10074 + 364 - 2710 = -89*s for s.
46
Solve -57*l - 2334601 + 2336482 = 0 for l.
33
Solve 16146*j - 16398*j = 13608 for j.
-54
Solve 4709*u + 25224 - 30781 = -42172 - 29311 for u.
-14
Solve -10*k = -61*k - 11*k + 637 + 665 for k.
21
Solve 6034350 = 29*u + 6035249 for u.
-31
Solve -83182*k + 83174*k = 608 for k.
-76
Solve -10*w - 1059696 + 1063920 = 56*w for w.
64
Solve -89*m + 2559 - 53 + 652 = 221 for m.
33
Solve -8*f + 2732 = 58*f - 2218 for f.
75
Solve 1317*r = -1021*r - 9254 + 27958 for r.
8
Solve 0 = 912*m - 5694 - 18018 for m.
26
Solve 2478*v + 83954 = -147134 + 74974 for v.
-63
Solve 0 = 637538*c - 636822*c - 3580 for c.
5
Solve -1902*f + 19400 + 20979 + 7714 + 45105 = 0 for f.
49
Solve 12569*y + 4588*y - 477238 - 502331 = -224661 for y.
44
Solve -1260*z - 1332*z - 153134 = 737*z for z.
-46
Solve 0 = -8860*m + 2765 + 212858 + 50177 for m.
30
Solve -65*p - 61*p - 52*p = -101*p + 3234 for p.
-42
Solve 122940 = -5*x + 122945 for x.
1
Solve 70*k + 98*k = -4*k - 4988 for k.
-29
Solve 366500 = 16917*b - 13252*b for b.
100
Solve -330*j - 652 + 1236 + 11296 = 0 for j.
36
Solve 189*b - 93*b = -8*b - 189*b + 25198 for b.
86
Solve 2362*o - 40559 = -2789*o - 109675 - 142075 for o.
-41
Solve -238*z + 309*z = 3137*z - 82*z - 95488 for z.
32
Solve 869*u + 2260 + 35976 = 0 for u.
-44
Solve 17219 = 59*m - 353*m - 2324 + 2785 for m.
-57
Solve -646*f - 4641*f - 597*f - 405996 = 0 for f.
-69
Solve -607 - 145 = -1390*j + 685*j + 689*j for j.
47
Solve 43*m = -m + 3*m + 33*m - 424 for m.
-53
Solve -83*i - 93886 = -5175*i + 119978 for i.
42
Solve 438*c - 1169 = 1124*c - 489*c + 210 for c.
-7
Solve -66*z - 77*z - 3740 = -58*z for z.
-44
Solve 0 = 221*v + 109440 - 114965 for v.
25
Solve -17216 = 379*j - 110*j for j.
-64
Solve -474*q - 3884*q - 256758 = 14301*q - 51509 for q.
-11
Solve -6086*v + 169895 = 11977 - 94886 - 112356 for v.
60
Solve -369 = -38*t + 331 - 1217 + 403 for t.
-3
Solve 363736 + 65756 - 113452 = 11924*q - 292084 for q.
51
Solve -1379*f + 988 = -768 - 1002 for f.
2
Solve -2455 - 11540 = 1501*l + 32616 + 40447 for l.
-58
Solve 152*s - 500 = 927 + 5565 for s.
46
Solve 45*a - 61*a - 16*a + 16125 = 93*a for a.
129
Solve 37477*n = 37633*n - 8736 for n.
56
Solve 2352*f + 83628 = 5988*f for f.
23
Solve 2642*z - 250437 - 33043 = -1412*z - 68618 for z.
53
Solve 0 = 105*o - 539*o + 5208 for o.
12
Solve -5236 + 46925 = 854*s + 58*s - 25*s for s.
47
Solve -153*y - 5585 = 86*y + 5887 for y.
-48
Solve 2097*r + 845 - 364 = -40 - 1576 for r.
-1
Solve 18*i + 336 = 26*i - 16*i for i.
-42
Solve -251*z - 1015*z + 258633 = 1515*z for z.
93
Solve -780*m - 114*m = 176*m - 14980 for m.
14
Solve 1999*c + 27588 = 3854*c - 2482*c for c.
-44
Solve -102829*y + 23835 = -102439*y - 4245 for y.
72
Solve -599*c - 1100*c + 4294 = 448*c for c.
2
Solve 120*q - 779 - 1107 + 2958 = -14*q for q.
-8
Solve -413*z + 39*z + 528843 - 482467 = 0 for z.
124
Solve 1903*l + 13936 + 25375 = 6877 - 37977 for l.
-37
Solve -6948770*y + 6948927*y = -20567 for y.
-131
Solve -46*v = -1454146 + 1455250 for v.
-24
Solve 60251*a - 61730*a + 69513 = 0 for a.
47
Solve -586*h - 35769 = -6469 for h.
-50
Solve -4771*m + 5465*m - 26372 = 0 for m.
38
Solve -321*u + 1046*u + 882*u + 112684 = -560*u for u.
-52
Solve 6377*j - 5807*j = -9120 for j.
-16
Solve 2401*n + 521*n - 324342 = 0 for n.
111
Solve 28697 = 147*c + 1041*c - 4221 - 6286 for c.
33
Solve 16121*i - 2520 = 16211*i for i.
-28
Solve -87*i + 452 = 25*i + 739 + 833 for i.
-10
Solve 3472*v - 4083 = 1336*v - 27579 for v.
-11
Solve -2009*j - 6688 = 2177*j - 65329 - 205077 for j.
63
Solve -420 + 738 - 3691 = 210*b + 407 for b.
-18
Solve 696*p + 6613 = 138*p - 152*p - 60127 for p.
-94
Solve 0 = -3700*b + 3464*b - 11328 for b.
-48
Solve -426639 + 313715 = 763*w for w.
-148
Solve -3954*p = 5165*p + 4526*p - 502942 - 711463 for p.
89
Solve -331*x = -22818 + 8585 for x.
43
Solve -5901 + 3335 = 188*m + 3450 for m.
-32
Solve -39*q - 516325 = -84*q - 80*q - 505825 for q.
84
Solve 0 = -224575*m + 224258*m - 8559 for m.
-27
Solve -4704*u = -4625*u + 3160 for u.
-40
Solve -69*f - 569 + 713 - 831 = 1521 for f.
-32
Solve -32369*o = -38595*o - 522984 for o.
-84
Solve -73 - 53 = -636*v + 678*v for v.
-3
Solve 110*s + 140*s = -182*s + 20736 for s.
48
Solve -18549*p + 1247295 = -1015683 for p.
122
Solve 1293*j + 101*j + 63495 = 149*j for j.
-51
Solve 57 = 63*a - 510 for a.
9
Solve 13*a - 964 = 182*a + 2431 + 999 for a.
-26
Solve 236*c - 246*c = 157*c + 6680 for c.
-40
Solve -4218*d + 130843 = 1024*d - 110289 for d.
46
Solve 40*c - 303*c - 11662 = 80*c for c.
-34
Solve 143 = 112*y + 320*y + 15263 for y.
-35
Solve 1511*o + 4623 = 2073*o + 4061*o for o.
1
Solve -182*b + 3280*b - 10574 - 42092 = 0 for b.
17
Solve 17*w - 13200 = 12*w - 117*w - 142*w for w.
50
Solve -8359*g - 440503 = 3659*g + 324154 + 100639 for g.
-72
Solve -3239*c - 5353*c + 1552*c - 135155 = -832115 for c.
99
Solve -1242 = 1060*g - 1033*g for g.
-46
Solve -1093999*x + 3515 = -1093904*x for x.
37
Solve 3293 = -6*m + 33*m + 3*m + 7*m for m.
89
Solve -292*d + 908*d + 65205 = -833*d for d.
-45
Solve 104680 = 2021*z - 22723 - 20130 for z.
73
Solve -148*b - 180*b + 90*b - 19662 = 440*b for b.
-29
Solve 0 = -271*z + 1475 - 1947 + 6163 for z.
21
Solve 852*g + 236*g + 50*g - 18296 = -88 for g.
16
Solve -146376 = 6194*o - 10046*o for o.
38
Solve -116*t + 261*t - 380 = 107*t for t.
10
Solve 2835*y - 78874 = -1895*y + 15726 for y.
20
Solve -236*b - 65*b - 4519 - 39427 = 0 for b.
-146
Solve -1596*f = -1046*f + 12651 + 13221 + 37928 for f.
-116
Solve 3504*z + 13757 = -40 + 2476 - 6199 for z.
-5
Solve -45*s + 50*s - 478 = -55*s + 1622 for s.
35
Solve 30067 - 85634 = 7322*z - 17854 + 240523 for z.
-38
Solve -39*g = -159*g + 3000 for g.
25
Solve -9*q + 836 + 158 = -72*q + 238 for q.
-12
Solve 583 - 2271 = -422*v + 16880 for v.
44
Solve 2234*s = 1864*s + 28860 for s.
78
Solve 742*z + 18674 = 1287*z - 6118 - 11723 for z.
67
Solve 4865*l + 5218 = -58027 for l.
-13
Solve -194*f - 24*f - 3083 + 5164 = -6421 for f.
39
Solve 0 = 289*i - 17147 + 1830 for i.
53
Solve 2148*k - 3936*k = -2180*k + 9800 for k.
25
Solve 15028 = -4841*n + 6379 - 10715 for n.
-4
Solve 6*v - 15024 = -307*v for v.
48
Solve -440*a + 108655 = -646*a + 5077*a - 32604 for a.
29
Solve -1753 = -2856*q + 21387 + 8276 for q.
11
Solve 9440 = 53*c + 32*c - 243*c + 78*c for c.
-118
Solve -56 - 787 = -68*d + 721 for d.
23
Solve 2236 = -164*b - 311 - 2373 for b.
-30
Solve 1690*x + 1217*x + 3552*x = 497343 for x.
77
Solve 1376*o - 1518*o - 284 = 0 for o.
-2
Solve -24349 = -10*t - 20*t - 25429 for t.
-36
Solve -251*k - 1372 = 60*k + 8580 for k.
-32
Solve 315*g = -380*g + 621*g + 4144 for g.
56
Solve -4093*k + 2013*k - 12299 = -2331*k for k.
49
Solve -2767 + 36625 = -594*h for h.
-57
Solve -414*n = 1665*n - 76923 for n.
37
Solve -3825592*b + 1311 = -3825611*b for b.
-69
Solve -299410 = -3755*m + 371*m - 5264 + 23950 for m.
94
Solve -440*p = 765*p + 443*p - 71663 + 216687 for p.
-88
Solve -313*x - 1515 = -757*x + 38889 for x.
91
Solve 1181 = 52*u - 639 for u.
35
Solve -12*n - 68*n + 6716 = 61*n + 5*n for n.
46
Solve -288*q - 341*q - 9922 = -508*q for q.
-82
Solve 51*n - 3493078 = -3492364 for n.
14
Solve -1455*z + 5063*z + 1087*z + 42974 + 327931 = 0 for z.
-79
Solve 26445 = -622*v - 17427 - 12108 for v.
-90
Solve -68796 = 5228*k - 481808 for k.
79
Solve 1360662*c = 1361005*c + 24353 for c.
-71
Solve 2994*s + 9905*s - 89444 - 233031 = 0 for s.
25
Solve 1099*o + 480*o - 81000 - 51636 = 0 for o.
84
Solve 10934*q - 10627*q = 8903 for q.
29
Solve -59454*i + 59456*i - 86 = 0 for i.
43
Solve -405*c + 1686*c - 157320 = -2652*c for c.
40
Solve 175*u = 10*u - 11*u - 65*u + 17593 for u.
73
Solve 1058*j + 1534*j = -630*j + 454302 for j.
141
Solve -239*b + 1396 = -66*b + 5908 + 1543 for b.
-35
Solve 206135*c = 206089*c + 1012 for c.
22
Solve 0 = -104*y - 7043 - 549 for y.
-73
Solve 42*g - 271 = 1074 - 127 for g.
29
Solve 206*k - 4640 = 53*k + 5152 for k.
64
Solve -1316 = 5140*c - 5093*c for c.
-28
Solve 1010*f + 767602 = -4498*f + 128674 for f.
-116
| {
"pile_set_name": "DM Mathematics"
} |
2064 = 1002*t. Let n(i) = 2 + i - 1 - 2*i. Give t*n(h) - y(h).
-h
Let f = -17 - -20. Let b(q) = -3 + 6 + 6405773*q**2 - q - 6405770*q**2. Let l(d) = -7*d**2 + d - 5. Give f*l(s) + 5*b(s).
-6*s**2 - 2*s
Let y(f) = -3*f - 4. Let l(t) = 1. Let u be 8/16 - (2 + (-28)/(-8)). What is u*l(h) + y(h)?
-3*h - 9
Let s(h) = 12*h**3 + 6*h**2 - 37*h - 30. Let o(b) = 26*b**3 + 13*b**2 - 82*b - 61. Give 5*o(w) - 11*s(w).
-2*w**3 - w**2 - 3*w + 25
Let f(m) = -m**3 - m**2 + m + 1. Let z(u) = -30*u**3 + 55 - 45*u**2 - 48*u - 66*u + 159*u - 10. Give -90*f(x) + 2*z(x).
30*x**3
Let c(y) = 8425469*y**3 - 14671*y**2 + 29342*y + 29342. Let w(b) = -1723*b**3 + 3*b**2 - 6*b - 6. Calculate -6*c(u) - 29342*w(u).
3452*u**3
Let b(d) = 2*d**3 - 4*d**2 + d + 2. Let v(p) = -1929*p**3 + 12860*p**2 - 3215*p - 6430. Determine 3215*b(t) + v(t).
4501*t**3
Let r(q) = -43*q. Let b(z) = -644*z. Suppose h + 3*m + 43 = 0, -203*m - 94 = 2*h - 205*m. What is h*r(u) + 3*b(u)?
46*u
Let x(y) = 11*y - 27. Let r(k) = -6*k + 14. Suppose 49*c + 404 = 18*c - 70*c. What is c*x(o) - 7*r(o)?
-2*o + 10
Let w(o) = 30*o**3 - 3*o**2 - 18*o + 1. Let s(y) = -29*y**3 + 3*y**2 + 21*y - 1. What is 6*s(q) + 7*w(q)?
36*q**3 - 3*q**2 + 1
Suppose 0 = 2*v - 2*y + 2, -38*y - 3 = 3*v - 39*y. Let b(n) = -6*n + 3. Let k(w) = w - 1. Calculate v*b(j) - k(j).
5*j - 2
Let i(z) be the third derivative of z**5/60 - z**4/4 - 11*z**3/6 - z**2 - 121*z. Let v(o) = 3*o**2 - 17*o - 32. What is -17*i(l) + 6*v(l)?
l**2 - 5
Let i = 12 - 14. Let y(v) be the first derivative of -11/2*v**2 - 11*v - 43 - 3*v**3. Let d(l) = -2*l**2 - 2*l - 2. What is i*y(t) + 11*d(t)?
-4*t**2
Let n(v) = -v**2 - 17*v. Let l(w) be the second derivative of w**4/4 + 25*w**3/3 - w**2/2 + 5299*w. What is 2*l(k) + 7*n(k)?
-k**2 - 19*k - 2
Suppose -2 = -3*w + 67. Suppose -4 = -9*q + w. Let h(m) = -705*m + 716*m - 2*m**3 - q*m**3. Let l(g) = 2*g**3 - 4*g. Give -3*h(k) - 8*l(k).
-k**3 - k
Let s(r) = 29*r - 173. Let u be s(6). Let d(y) = -y - 1. Let z(v) = v + 6. Give u*z(j) - d(j).
2*j + 7
Let p(g) = -g**3 + 98*g**2 + 1082*g + 25. Let z be p(-10). Let m(x) = -2*x**2 - x + 3. Let w(q) = 2*q**2 + q - 4. Calculate z*w(y) + 4*m(y).
2*y**2 + y - 8
Let d(b) = -1543*b + 2. Let w(k) = 1525*k - 2. Determine 2*d(l) + 3*w(l).
1489*l - 2
Let l(p) = 2*p - 3. Let d(r) = 22*r**2 - 4*r - 19. What is d(i) + 2*l(i)?
22*i**2 - 25
Let l(w) = -3*w**2 - 7*w - 39. Let u(v) = 2*v**2 + 5*v + 26. Determine 5*l(d) + 8*u(d).
d**2 + 5*d + 13
Let y(h) = -2 - 686*h**2 + 1 - 760*h**2 + h + 1445*h**2 + 0. Let n(k) = -4*k**2 + 3*k - 5. Suppose -5*w = -4*w - 5. Calculate w*y(s) - n(s).
-s**2 + 2*s
Let m(n) = -338*n**2 + 133*n + 8. Let t(k) = -85*k**2 + 31*k + 2. Calculate -2*m(p) + 9*t(p).
-89*p**2 + 13*p + 2
Let w(y) = -59*y**2 + 2*y - 1. Let u(n) = 2*n**2 - 4*n. What is 2*u(m) + w(m)?
-55*m**2 - 6*m - 1
Let t(y) = 880*y**3 - 19*y**2 + 5*y - 17. Let s(m) = 1320*m**3 - 30*m**2 + 8*m - 27. What is 5*s(j) - 8*t(j)?
-440*j**3 + 2*j**2 + 1
Let o(g) = g**3 - 2*g**2 + g - 1. Let b(x) = 122*x**3 - 10*x**2 - 2. Determine b(r) - 5*o(r).
117*r**3 - 5*r + 3
Let c(h) = -7*h**2 + 15 - 12*h**2 + 5*h - 15 + 18*h**2. Let x(y) = y**2 - 11*y. What is 5*c(s) + 3*x(s)?
-2*s**2 - 8*s
Let j(f) = -f + 998. Let c(p) = p - 499. What is -11*c(s) - 6*j(s)?
-5*s - 499
Let k(b) = -2250*b - 10. Let q(x) = -1687*x - 7. Determine -11*k(a) + 15*q(a).
-555*a + 5
Let o(x) = 22*x**3 + 70*x**2 - 13*x - 5. Let n(p) = 26*p**3 + 72*p**2 - 15*p - 6. What is -5*n(r) + 6*o(r)?
2*r**3 + 60*r**2 - 3*r
Let v(x) = 9*x**2 + 40*x - 237. Let b(h) = -h**2 - 5*h + 1. Calculate 16*b(w) + 2*v(w).
2*w**2 - 458
Let g(x) = -2*x**2 - 6. Let w(n) be the third derivative of n**5/60 - n**3/6 + 2834*n**2. Give -g(a) - 3*w(a).
-a**2 + 9
Let m(w) = 8*w**3 - 4*w - 1. Suppose -245 = -55*v + 104*v. Let c(z) = -9*z**3 + 5*z + 1. What is v*c(k) - 6*m(k)?
-3*k**3 - k + 1
Let w(m) = -m + 7. Let t(k) = 4*k - 73 + 49 - 3*k + 18. What is -3*t(y) - 2*w(y)?
-y + 4
Let p(a) = -5*a**2 + 3282*a - 56. Let l(d) = 14*d**2 - 9846*d + 154. Determine -4*l(q) - 11*p(q).
-q**2 + 3282*q
Let j(m) = -36*m**2 + 436*m + 51. Let w(h) = -13*h**2 + 144*h + 18. Give 6*j(d) - 17*w(d).
5*d**2 + 168*d
Let d(n) = -n**2 + 1. Let q = -1095 - -1094. Let a(i) = -60*i**2 + 30. Give q*a(p) + 30*d(p).
30*p**2
Let n = 4454 + -4449. Let g(i) = 3*i**2 - 6*i + 1. Let z(k) = 4*k**2 - 7*k + 1. What is n*z(l) - 6*g(l)?
2*l**2 + l - 1
Let v be (-1)/(-18) - ((-120785)/522)/119. Let q(z) = 4 + 7 - 5*z + 3*z**2 - 12*z**2. Let u(i) = 4*i**2 + 2*i - 5. Let h = -8 + 13. Determine h*u(g) + v*q(g).
2*g**2 - 3
Let n(x) be the second derivative of -x**5/20 + x**4/4 - x**3/6 + 2374*x - 1. Let l(z) = -2*z**2 + 4*z**2 - 3*z**2. What is 3*l(c) + n(c)?
-c**3 - c
Let f(u) = -1353*u - 399. Let z(w) = 104*w + 30. Give 2*f(v) + 27*z(v).
102*v + 12
Let v(x) = -x - 1. Let c(o) = 14*o + 4. Let p(w) = -c(w) + 6*v(w). Suppose -d = -30*d - 87. Let k(m) = 4*m + 2. Calculate d*p(s) - 16*k(s).
-4*s - 2
Suppose -4*t - 11 + 15 = 0. Let b be (1 - (-2 + t))*9/18. Let s(l) = -3*l**2 + l - 2. Let y(z) = z + 17*z**2 - 37*z**2 + 19*z**2 + 0*z. Determine b*s(g) - y(g).
-2*g**2 - 2
Let j(l) = 161566819*l**3 + 59741*l**2 + 59741*l + 59741. Let n(o) = 5409*o**3 + 2*o**2 + 2*o + 2. Determine -2*j(a) + 59741*n(a).
5431*a**3
Let f(g) = 2*g**2 + 1726*g + 5. Let t(w) = 3*w**2 + 1728*w + 6. Give 6*f(n) - 5*t(n).
-3*n**2 + 1716*n
Let q(d) = -2. Let y(f) = f - 142. Give 6*q(p) + y(p).
p - 154
Let g(q) = -4*q - q**2 + 7 - 7 + 3*q. Let z(k) = -4*k**2 - k + 2. Let c(d) = d**3 - 16*d**2 - 20*d + 56. Let x be c(17). What is x*g(s) - z(s)?
-s**2 - 4*s - 2
Let y(v) = 20*v**3 - 8*v**2 + 89*v + 17. Let g(a) = -6*a**3 + 3*a**2 - 30*a - 5. Determine -7*g(s) - 2*y(s).
2*s**3 - 5*s**2 + 32*s + 1
Let p(a) be the first derivative of 17*a**3/3 - 5*a**2/2 - 5*a + 2. Let h(v) = -357906 - 38*v**2 + 7*v + 357913 + 13*v**2. Calculate -5*h(j) - 7*p(j).
6*j**2
Let m be 60 - (-6 + 4 - -2). Let y be (m/(-35))/(3 - 38/14). Let k(t) = t - 20 - 2*t + 9. Let l(j) = -j - 10. What is y*l(n) + 5*k(n)?
n + 5
Let s(u) = -7*u + 3. Let y = -159867 - -159851. Let z(f) be the first derivative of 18*f**2 - 16*f + 1. Determine y*s(t) - 3*z(t).
4*t
Let n = -51 - -54. Let c be (n/9)/(3/18). Suppose 4*a + c*m - 3 = 11, -2*a + 3*m = 13. Let i(v) = -2*v**2 - 5*v - 2. Let h(f) = f + 1. What is a*i(k) + 3*h(k)?
-2*k**2 - 2*k + 1
Let k(h) = 2*h + 405. Let x(r) = -10*r - 1621. Calculate 9*k(t) + 2*x(t).
-2*t + 403
Let h(s) = 226*s**2 + 9*s - 3. Let f(z) = -453*z**2 - 22*z + 8. Calculate -2*f(t) - 5*h(t).
-224*t**2 - t - 1
Let n(v) = -10*v - 2. Let m be n(0). Let k(i) be the first derivative of -i**2 - 3*i - 3. Let p(o) = -o - 1. Give m*k(g) + 5*p(g).
-g + 1
Let s(z) = -366*z**3 + 10*z**2 + 5*z - 5. Let v(w) = -1834*w**3 + 55*w**2 + 27*w - 27. Give 11*s(n) - 2*v(n).
-358*n**3 + n - 1
Let o(f) = -88*f**2 + 440*f - 3. Let m be o(5). Let j(i) = 3*i**2 + i + 3. Let q(g) = -g + 1. Calculate m*q(z) - j(z).
-3*z**2 + 2*z - 6
Let p(q) = 20*q**3 - 9*q**2 + 11*q - 6. Let t(d) = 20*d**3 - 12*d**2 + 11*d - 8. Calculate 4*p(z) - 3*t(z).
20*z**3 + 11*z
Let g(r) = 2371*r + 48. Let t(s) = -4741*s - 88. Give -11*g(v) - 6*t(v).
2365*v
Suppose 0 = 2*q - 155 + 159. Let l(r) = -2*r - 5. Let v(u) = u**3 - 5*u - 10. Suppose -55 = -12*m + 5. What is m*l(x) + q*v(x)?
-2*x**3 - 5
Let b(d) be the third derivative of 17*d**6/120 + d**5/4 - 11*d**4/24 + 2*d**3/3 - 5587*d**2. Let h(v) = -9*v**3 - 8*v**2 + 6*v - 2. Give 6*b(a) + 11*h(a).
3*a**3 + 2*a**2 + 2
Let c(s) = 84*s + 28. Let f(n) = -34*n - 15. Let l(z) = -2*c(z) - 5*f(z). Let r(y) = -4*y - 39. What is 7*l(v) + 4*r(v)?
-2*v - 23
Let k(c) = -c**3. Let l(t) = -872*t + 5233. Let f be l(6). Let y(s) = 19*s**3 - s**2 + 2*s. Calculate f*k(m) + y(m).
18*m**3 - m**2 + 2*m
Let s(m) be the first derivative of m**3/3 - 2*m + 8228. Let d(h) = h + 4. Let r(n) = -n**2 + 1. Let a(z) = -d(z) - 3*r(z). What is -2*a(g) + 7*s(g)?
g**2 + 2*g
Let s(t) = -t**2 + 5*t + 34. Let l(g) be the third derivative of g**5/60 - g**4/4 - 35*g**3/6 - 66*g**2 - g - 11. What is 3*l(w) + 4*s(w)?
-w**2 + 2*w + 31
Suppose 2*t + 32 = -4*o, 0 = 6*t - 5*t + 3*o + 20. Let x(r) = r**2 - r - 1. Let v(p) = 16*p**2 + 8*p + 8. Determine t*x(u) - v(u).
-24*u**2
Let r(c) = 14*c**2 - c - 3. Let s(m) = -12000*m**2 - 4*m - 18. | {
"pile_set_name": "DM Mathematics"
} |
1)/(-2))/((-2)/4). Let v be (-2 - (-24)/3) + m. Suppose l + v*k = 22, 2*l + k - 31 = -2*l. Calculate the least common multiple of l and 3.
21
Suppose 27 = f + 19. Let i = -5 + 13. What is the lowest common multiple of f and i?
8
Suppose -7*f + 2*f = 5*w - 80, 0 = 3*f - 6. Calculate the lowest common multiple of 18 and w.
126
Let z(i) = i**2 + 3*i + 2. Let k be z(-2). Let w(g) = g**2 - g + 4. What is the least common multiple of 8 and w(k)?
8
Let k(y) = -y**2 + 2*y + 3. Let m be k(3). Find the common denominator of (156/8 + m)/(-1) and -79/22.
22
Let p(j) = j**3 + 11*j**2 + 8. Let d be p(-11). Calculate the common denominator of 89/10 and (-180)/(-21)*3/d.
70
Calculate the common denominator of 17/8 and 4/(-18) - 2631/432.
16
Suppose -m + 28 = 3*m. What is the smallest common multiple of (11 + (-2)/(-2))/1 and m?
84
Let g = -104 - -125. What is the lowest common multiple of g and 9?
63
Let o = -4 + -5. Calculate the common denominator of o and 2/(44/(-32) + 2).
5
Let o = 23 - 68/3. Find the common denominator of o and (8/84)/((-6)/532).
9
Let i(s) = s**3 + 3*s**2 - 9*s - 5. Calculate the least common multiple of 3 and i(-4).
15
Let d = 55 + -35. What is the least common multiple of 14 and d?
140
Find the common denominator of ((-93)/(-8))/(2/(-8)) and -71/20.
20
Let a = 166032 + -660699/4. Let k = -664 + -206. Let v = k + a. What is the common denominator of v and 137/6?
12
Let r = -6 + 20. What is the smallest common multiple of 6 and r?
42
Let m = 3549017/1322620 - -2/198393. Calculate the common denominator of m and (-5 - 235/20) + (6 - 4).
60
Let n = -384353/24 + 16009. Calculate the common denominator of n and 53/48.
48
Suppose -4*j + 5*v = 15, -2*j - 4 - 1 = -5*v. Let h(u) = -u + 13. Calculate the smallest common multiple of h(j) and 10.
90
Suppose -3*s = -4*c - 74, 4*s = 3*c + 53 + 41. What is the smallest common multiple of s and 2?
22
Suppose a - 2*u + 0*u = 20, 5*u = 5*a - 75. Suppose 4*x - 39 = x. Let c = 19 - x. What is the smallest common multiple of c and a?
30
Let p(w) = -w + 2. Let q be p(-6). Suppose 0 = -2*n + q + 10. Calculate the least common multiple of 5 and n.
45
Let f = -130 - -418/3. Calculate the common denominator of f and (-4)/(-6) - (-247)/(-6).
6
Let w = 48 - 76. Let y be 46780/w - (-2)/(-7). Let o = -11722/7 - y. What is the common denominator of o and 13?
7
Let o be ((-1)/(-7))/(16/(-155464)). Let y = 1381 + o. Find the common denominator of y and -35/4.
28
Let a(y) = -10*y**2. Let q be a(-1). Let k = -12841/7912 + -2/989. Calculate the common denominator of ((-17)/q)/((-16)/(-30)) and k.
16
Suppose 2*h + 4*r + 6 = -4, -20 = 5*h + 5*r. What is the least common multiple of 18 and (0 - (h - 15)) + -2?
144
Suppose 40 = -0*b + 5*b. Suppose 0 = -u - 2*z - 12, -2*z + 0*z = -4*u - b. Find the common denominator of 87/16 and (-2)/8*(-58 - u).
16
Find the common denominator of -2 - (-4 + (-310)/(-12)) - -1 and 127/6.
6
Suppose -96 = -21*p + 13*p. Let o(q) = 5*q - 1. What is the least common multiple of o(3) and p?
84
Suppose b - 1 = 1, 2*l - 5*b = -6. Let k = 4 + l. Calculate the smallest common multiple of 6 and k.
6
Suppose 13 = 2*t - 27. What is the least common multiple of 12 and t?
60
Let q(i) = i**3 - 10*i**2 + 12*i - 5. Let t = 3 + 6. What is the lowest common multiple of 10 and q(t)?
110
Suppose -5*n + n = 108. Calculate the lowest common multiple of (3 + n/15)*5 and 6.
6
Suppose -4*b - f = 47, -3*f = 3*b - 4*b - 2. Let d = b + 12. What is the smallest common multiple of 8 and d?
8
Suppose -5*v - 5*h + 20 = 0, -4*v - 3*h = -6*h - 37. Suppose 112 - 24 = 11*p. What is the smallest common multiple of p and v?
56
Let u(g) = 2*g - 12. Calculate the lowest common multiple of u(11) and 1.
10
Find the common denominator of -83/18 and 3/2*329/(-210).
180
Suppose 23 = -2*b - 21. Let q = 25 + b. Calculate the least common multiple of 2/(-8) - (-45)/4 and q.
33
Let r be 0 - ((-579)/147 - -3). Let p = -59/49 - r. Find the common denominator of p and (-22)/(-10)*(-15)/9.
21
Let h be (-18)/4*2/(-3). Let d be (-2 + (4 - h))*131. Calculate the common denominator of d/(-6) + 0 + 2 and 1/8.
24
Let n = 11757/11 - 1070. Suppose -4*p + 2*p = 2*g - 328, -4*g + p = -661. Suppose -g = -0*d + 5*d. Calculate the common denominator of n and d.
11
Suppose 4*o + 228 = -4*k, -o - 3*k = 39 + 20. Let i be 6/2 - (-1 + o). Calculate the common denominator of 63/10 and (-2)/(i/(-249)) - -3.
10
Let v = 218 - 110. Calculate the common denominator of -2 + (1419/v)/11 and 19/10.
180
Let h = 5 + -3. Suppose -h*y + 8 = -y. Let x = 4 + -1. Calculate the least common multiple of x and y.
24
Let a be 2/((-1)/2 - -1). Suppose 0 = 3*k - a*k + 9. Find the common denominator of 2/4 - (-56)/k and 57/10.
90
Suppose 9*b - 168 = -3*b. What is the least common multiple of b and 22?
154
Calculate the common denominator of 101/22 and (9/2)/((-10)/(-13)).
220
Let n be -1 + -506*4/(-2040). Let q = n + 3217/510. What is the common denominator of 248/(-45) + 6/15 and q?
90
Let g(a) = a + 2. Let r(k) = k**2 - 6*k + 7. Let j be r(5). Let x be g(j). What is the common denominator of -49/10 and ((-2)/12)/(x/294)?
20
Calculate the common denominator of (-23)/(20/2*-1) and 67/6.
30
Let d be (-2)/(-1) - 0 - -2. Let f be (d/(-30))/(316/(-22062)). Let c = f + 23/79. Find the common denominator of 23/3 and c.
15
Suppose -s + 0*s = -2. Let n(a) = -a. Let r(k) = k - 2. Let j(w) = -4*n(w) + r(w). What is the least common multiple of 9 and j(s)?
72
Find the common denominator of -101/4 and -4 + (-1)/(-18)*(-3927)/(-14).
12
Suppose p + a = 4*a + 193, p = -4*a + 214. Calculate the common denominator of p/(-8) - 4/(-2) and -3/8.
8
Let o be 2/((2 - 3)*-1). Let k = -779/204 - 1/68. Calculate the common denominator of 55/10 - o/6 and k.
6
Let s be 2 + -3*66/(-9). Let p be 2/((s/15)/4). Suppose 2*w - 33 = -p. What is the lowest common multiple of w and 14?
14
Suppose k = m - 3*k - 17, 5*k + 90 = 4*m. Suppose o - 4*q + 10 = 0, 3*q = -3*o + 4*q + m. What is the least common multiple of 10 and o?
10
Let m = -2931 + 23405/8. Let q = 59/40 + m. Find the common denominator of q and -107/14.
70
Let i(f) = 3*f**2 + 4*f - f**3 - 3*f - 2 - 4*f. Let g be i(3). Let x(o) = o**3 + 11*o**2 - o - 10. What is the least common multiple of 4 and x(g)?
4
Suppose -5*n + 5*y = -30, 2*n + 2*y = -8 - 0. What is the common denominator of 97/(-20)*(174/12 - 12) and n + -8*(-8)/6?
24
Let i(y) = -2*y - 9. Suppose 4*u + 32 = 8*u. What is the lowest common multiple of i(-8) and u?
56
Find the common denominator of -91/2 and (-17)/5 + (-8)/10.
10
Let t be 274/20*(-321)/(-6). Let z = -735 + t. Calculate the common denominator of z and -73/6.
60
Calculate the smallest common multiple of ((-36)/(-42))/(5/210) and 12.
36
Let p = -297683019977/1947 - -152893175. Let g = p + 10/177. Find the common denominator of g and ((-4)/6)/(18/129).
99
What is the least common multiple of 266 and 2/(56/12) + 302/14?
2926
Let p be 3/15 + 83198/10. Let g = p - 83109/10. Find the common denominator of g and 5/(-8)*20/(-3).
30
Suppose -3*b + 56 = 3*p - 5*b, 5*p - b - 84 = 0. Find the common denominator of 67/2 and (-4)/(-10)*(-410)/p.
4
Let x be (1/3 + 1)*3. Suppose 39 = 4*y + 2*m + 13, 2*y - x*m = 28. What is the lowest common multiple of 14 and (-2)/y + 445/20?
154
Find the common denominator of -36/5 and (-501)/(-84) + (-8)/4.
140
Suppose -7*c - 9 = -3*l - 3*c, l - 5*c - 3 = 0. Suppose -i = l*t - 10, -5*t + 6 = -5*i - 44. Let u = -19 + 22. What is the smallest common multiple of u and t?
15
Let q(h) = -2*h + 2. Calculate the lowest common multiple of q(0) and 14.
14
Let q be ((-992)/(-6))/(4/(-24)). Let c = 5722004413/5755257 + -1/639473. Let t = c + q. Find the common denominator of t and 25/7.
63
What is the common denominator of 29/24 and (-6)/(-4)*(-250)/18?
24
Let n = -283459/16 + 17722. What is the common denominator of n and -71/22?
176
Let j = 37408/9 - 4149. Calculate the common denominator of -13 and j.
9
Let c(j) = -j**3 + 5*j**2 - 6*j - 5. Let a(l) = -l**2 + l + 1. Let f(k) = 3*a(k) - c(k). Let n = -11 - -18. Calculate the lowest common multiple of 6 and f(n).
66
What is the common denominator of (113/(-36))/(42/(-9) - -5) and -7/12?
12
Find the common denominator of -3 - (-5)/(40/61) and -85/12.
24
Let w = 1294/9 + -21379/14 | {
"pile_set_name": "DM Mathematics"
} |
- r. Let k(w) = 2*w. Calculate p(k(c)).
-104*c**2
Let z(l) = -3*l. Let r(b) = -1141*b**2 + 756*b**2 - 1163*b**2. Give r(z(v)).
-13932*v**2
Let a(p) = 474*p**2. Let d(n) be the second derivative of -n**4/4 - 1200*n. What is d(a(x))?
-674028*x**4
Let u(t) = -779*t. Let h(f) = -680 - 682 + f + 1362. Calculate h(u(d)).
-779*d
Let g(h) = -10*h**2. Let q(l) = -757964*l. Give g(q(o)).
-5745094252960*o**2
Let x(g) = -3*g**2 - 82654. Let l(n) = 36*n. Give x(l(i)).
-3888*i**2 - 82654
Let d(g) = -21*g - 78. Let m(a) = -5*a - 18. Let l(p) = 2*d(p) - 9*m(p). Let v(s) = -18*s**2. Determine v(l(j)).
-162*j**2 - 648*j - 648
Let u(b) = 3*b. Let w(q) = 2784410*q + 5. Determine w(u(f)).
8353230*f + 5
Let h(a) = 125*a + 15. Let v(y) = 18*y + 2. Let j(k) = -4*h(k) + 30*v(k). Let l(o) = -6*o. Let p(f) = 19*f. Let u(s) = -3*l(s) - p(s). Calculate j(u(b)).
-40*b
Let v(i) = 89*i. Let m(n) = -4188*n - 183. Determine m(v(j)).
-372732*j - 183
Let v(z) be the third derivative of -z**5/10 + 4*z**2. Let j(p) be the second derivative of p**4/4 + 14*p - 3. Calculate v(j(q)).
-54*q**4
Let o(i) = 4*i - i + 2*i**2 - 3*i. Let n(m) be the third derivative of -77*m**5/30 - 3391*m**2. Determine n(o(l)).
-616*l**4
Let f(j) = 9*j - 34. Let s(r) = 254*r**2 + 5*r - 25. Give s(f(z)).
20574*z**2 - 155403*z + 293429
Let p(q) = 13*q**2. Let j(r) = 3*r**2 - 17 - 2 + 19*r + 19 - 2*r**2. Calculate p(j(b)).
13*b**4 + 494*b**3 + 4693*b**2
Let o(b) = -8*b. Let j(i) = 572*i + 260. Let w(s) be the second derivative of 13*s**3/3 + 6*s**2 - 30*s + 1. Let g(u) = -3*j(u) + 65*w(u). What is g(o(n))?
208*n
Let o(q) be the first derivative of 7*q**2 - 1425. Let v(a) = 284*a**2. Determine o(v(b)).
3976*b**2
Let x(o) = 5*o. Let z(a) = -a**2 + 10222*a + 37. What is z(x(m))?
-25*m**2 + 51110*m + 37
Let s(d) = 66*d**2 + 3*d. Let p(j) = -117*j - j**2 - 63*j + 180*j. What is p(s(t))?
-4356*t**4 - 396*t**3 - 9*t**2
Suppose -8*l + 3*l = -15. Suppose -3*o = -2*o - l. Let r(c) = 52*c - o*c - 2*c. Let y(f) = f. Calculate r(y(x)).
47*x
Let b(k) be the first derivative of 23*k**2 - 2073. Let y(v) = -2*v**2. Calculate y(b(i)).
-4232*i**2
Suppose -d = -4*z + 16, 4*z - 8 = -9*d + 12*d. Let h(j) be the second derivative of 0*j**2 + 0*j**3 - 11*j - 29/12*j**d + 0. Let t(n) = -2*n. What is t(h(r))?
58*r**2
Let i(y) = -y + 8. Let x(s) = 9*s - 53511. What is x(i(h))?
-9*h - 53439
Let k(i) be the second derivative of -i**3/3 + 276*i. Let h(n) = -21*n + 39*n + 1 + 11*n. What is k(h(w))?
-58*w - 2
Let i(n) be the second derivative of n**4 + 5*n**3/2 + 1461*n. Let h(d) = d. What is h(i(m))?
12*m**2 + 15*m
Let o(n) be the second derivative of -n**4/12 - 109*n**2/2 + 251*n. Let k(w) be the first derivative of o(w). Let f(p) = -18*p**2 + 1. Calculate f(k(l)).
-72*l**2 + 1
Let k(h) = 2*h. Suppose -6*t = 6*t - 48. Suppose -c = c - t. Let w(a) = 105*a**c - 31*a**2 - 50*a**2. Give w(k(p)).
96*p**2
Let p(k) = 1739*k**2. Let g(c) = -4333348*c + 4333348*c - c**2. Give p(g(d)).
1739*d**4
Let f(n) = -17*n**2 + 1. Let k(d) = -26*d**2 + 26*d + 13. Let o(r) = 7*r**2 - 6*r - 3. Let t(l) = 3*k(l) + 13*o(l). Calculate f(t(v)).
-2873*v**4 + 1
Let d(b) = -25*b - 2 + 2 - 6 + 6. Let s(a) = 1. Let j(w) = w + 11. Suppose 2 = 3*n - 4. Let o(x) = n*j(x) - 22*s(x). What is o(d(y))?
-50*y
Let q(x) = -1 - 6 - 48*x + 8 - 1. Let v(w) = 25*w. Determine q(v(f)).
-1200*f
Let u(o) = -o**2. Let t(y) = 250650*y + 32306. Let c(f) = 1124*f + 145. Let a(s) = -1114*c(s) + 5*t(s). Determine u(a(h)).
-1240996*h**2
Let b be 1 + 86 + -2 + 3. Suppose n + 3*n - b = 0. Let u(d) = -n + d + 48 - 26. Let z(m) = -6*m**2 - 5*m. Determine u(z(g)).
-6*g**2 - 5*g
Let s = 767 + -763. Let m(q) = 36*q + 5 - 2*q**2 - 37*q - 5 - s*q**2. Let l(w) = -9*w. Give m(l(i)).
-486*i**2 + 9*i
Let q(m) = -35*m + 7490. Let k(u) = 18*u**2 - 2*u. Determine q(k(p)).
-630*p**2 + 70*p + 7490
Let w(s) = 4*s**2. Let p(r) = -36*r**3 - 2*r**2 - 5*r - 3. Let u be p(-1). Let q(a) = -96*a**2 + 5 - 5 - u*a + 36*a. What is q(w(y))?
-1536*y**4
Let b(y) = -3*y. Let i(u) = 780*u**2 + 992*u. Determine i(b(f)).
7020*f**2 - 2976*f
Let v(u) = 225*u. Let j(y) = 205*y + 360. What is j(v(q))?
46125*q + 360
Suppose -12*u + 21 = -5*u. Let m(b) = 0*b - 2*b + u*b. Let i(j) = 9*j**2 + 4. Let c(h) = -28*h**2 - 11. Let p(k) = 4*c(k) + 11*i(k). Give m(p(v)).
-13*v**2
Let u(j) = -2*j**2 - 150*j - 22724. Let z(h) = 3*h. Determine u(z(o)).
-18*o**2 - 450*o - 22724
Let q(h) = 8*h - 18. Let r(m) = -45*m + 102. Let k(i) = -34*q(i) - 6*r(i). Let o(j) = -355*j**2 - 10*j + 2. Determine k(o(u)).
710*u**2 + 20*u - 4
Let i(a) = a + 3. Let u(r) = 2*r + 7. Let f(m) = 7*i(m) - 3*u(m). Let y(j) = 1074*j. Calculate y(f(z)).
1074*z
Let h(c) = 19*c**2. Let p(y) be the second derivative of -23*y**4/4 - y**3/3 + 14*y - 333. Determine p(h(g)).
-24909*g**4 - 38*g**2
Let a(t) be the first derivative of 1163*t**2 - 3*t + 12645. Let p(m) = 2*m**2. Give p(a(l)).
10820552*l**2 - 27912*l + 18
Let v(q) = -132120724*q. Let h(k) = 4*k. What is v(h(i))?
-528482896*i
Let q(i) = 5*i**2 + 153. Let s(m) = -3*m**2 - 68. Let z(g) = -4*q(g) - 9*s(g). Let h(k) = 3*k - 1201. What is h(z(v))?
21*v**2 - 1201
Let c(m) = 2*m. Let b(f) = 21*f + 34. Let y(x) = -22*x - 28. Let t(j) = 5*b(j) + 6*y(j). Let z(q) = -q - 1. Let n(u) = t(u) + 2*z(u). Calculate c(n(g)).
-58*g
Let g(i) = -303*i + 33. Let r(j) = -19*j + 2. Let f(h) = -2*g(h) + 33*r(h). Let o(k) = -42 - 2*k**2 + 136 - 43 - 51. Determine o(f(l)).
-882*l**2
Let f(z) be the first derivative of -5*z**2/2 - 1067. Let m(l) = 2*l - 348. Determine m(f(w)).
-10*w - 348
Let o(w) = -18*w. Let x(s) = -2*s - 3. Let j(g) = 143*g + 231. Let i(z) = 4*j(z) + 308*x(z). Determine i(o(l)).
792*l
Let u(c) = -c**2. Let n(b) = 2 - 2 + 9 - 6 + 3 + 14*b. Determine u(n(p)).
-196*p**2 - 168*p - 36
Let o(h) = -27*h. Let q(m) = -18*m**2 + m + 91. Calculate q(o(k)).
-13122*k**2 - 27*k + 91
Suppose -164 = -24*w + 76. Let c(i) = -w + 47*i + 10 - 10*i. Let v(g) = -4*g**2. Determine v(c(s)).
-5476*s**2
Suppose -156*r + 18 = -301*r + 151*r. Let f(a) be the third derivative of 0*a - 2*a**2 + 0 + 11/60*a**5 + 0*a**4 + 0*a**r. Let b(g) = -2*g. Give b(f(k)).
-22*k**2
Let d(q) = -3*q**2 + 21. Let l(n) = -114*n + 20. Calculate d(l(y)).
-38988*y**2 + 13680*y - 1179
Suppose 10 = y + 5*d - 6*d, 0 = -4*y + 5*d + 44. Let i(g) = g - 6*g + y*g + g. Let x(r) = -r - 7*r - 9*r + r. Calculate x(i(b)).
-32*b
Let k(w) = -2 + 4 - 7*w + 2*w - 5*w. Let g(h) = -20*h + 5. Let u(d) = -4*g(d) + 10*k(d). Let i(l) = 13*l + 13*l - 27*l. Calculate i(u(j)).
20*j
Let r(a) = 83*a + 19. Let t(p) = -71*p - 18. Calculate r(t(n)).
-5893*n - 1475
Let u(v) = 11*v - 8382 + 8382. Let m(x) be the second derivative of -x**3/6 + x. Give u(m(h)).
-11*h
Let r(z) = 18 + 6 - 3 - 3*z + z. Let m be r(3). Let h(x) = -5 + m - 23*x + 25*x. Let y(w) = w**2. What is y(h(l))?
4*l**2 + 40*l + 100
Let g(i) = 2*i**2. Let p(j) = -1184837*j**2 + j + 5. Determine p(g(h)).
-4739348*h**4 + 2*h**2 + 5
Let w(d) = 29*d**2 - 392330*d. Let r(f) = -10*f. Give w(r(m)).
2900*m**2 + 3923300*m
Let g(y) = 8664*y**2 - 26*y. Let t(j) = -406*j**2. Calculate g(t(r)).
1428139104*r**4 + 10556*r**2
Let i(o) = 3*o**2. Suppose 67*p = 36*p + 35*p - 32. Let x(q) be the first derivative of 5/3*q**3 + 0*q + 0*q**2 - p. What is i(x(h))?
75*h**4
Let b(h) = -h + 0*h + 11 + 2*h - 2*h. Let o(j) be the third derivative of j**4/24 - 23261*j**2. What is o(b(t))?
-t + 11
Let o(y) = 4*y. Let n(z) = -5*z. Let v(r) be the third derivative of -34*r**2 + 0*r**3 + 0*r + 5/24*r**4 + 0. Let g(x) = -5*n(x) - 4*v(x). What is g(o(i))?
20*i
Let f(m) be the first derivative of m**2 - 9873. Let u(k) = -24*k**2 - 39*k + 2. Determine u(f(g)).
-96*g**2 - 78*g + 2
Let r(n) = -1008*n**2 + 3282. Let p(x) = 2*x. Determine p(r(q)).
-2016*q**2 + 6564
Let j = 36 - 34. Let z be j*((-14)/(-4) - 2). Let a(i) = -3 + 3 + 0 + z*i. Let q(w) = -5*w**2. Calculate q(a(r)).
-45*r**2
Let i(n) = -5393*n. Let f(g) = -3*g**2 + 67. What is f(i(j))?
-87253347*j**2 + 67
Let m(o) = -42*o**2. Let l(k) be the third derivative of 10*k + 0*k**3 + 1/24*k**4 + 2*k**2 + 0. Determine m(l(g)).
-42*g**2
Let v(i) be the third derivative of -17*i**5/60 - 22*i**2 + 45*i. Let n(k) = 2*k**2 + 28*k. Determine n(v(l)).
578*l**4 - 476*l**2
Let b(t) be the second derivative of 19*t**5/12 - 133*t**2/2 + 31*t + | {
"pile_set_name": "DM Mathematics"
} |
2}?
0
Calculate prob of sequence ee when two letters picked without replacement from {k: 2, c: 6, f: 1, u: 2, e: 3}.
3/91
Calculate prob of sequence nznp when four letters picked without replacement from {z: 8, p: 7, n: 3}.
7/1530
Calculate prob of sequence dw when two letters picked without replacement from uwuduuwuulzdppuuduu.
1/57
Two letters picked without replacement from rppuprr. Give prob of sequence pr.
3/14
Three letters picked without replacement from {a: 3, k: 3}. What is prob of sequence akk?
3/20
Three letters picked without replacement from ufj. What is prob of sequence uuf?
0
Calculate prob of sequence iib when three letters picked without replacement from {i: 5, b: 2}.
4/21
Calculate prob of sequence jo when two letters picked without replacement from uuuujuuvuiixuovuuu.
1/306
Two letters picked without replacement from vvvtvvnhhvdthdvhg. What is prob of sequence hg?
1/68
Calculate prob of sequence mm when two letters picked without replacement from mmmhmmxmmmmmm.
55/78
What is prob of sequence md when two letters picked without replacement from {q: 3, m: 4, f: 3, d: 1}?
2/55
What is prob of sequence bxx when three letters picked without replacement from {b: 5, x: 9}?
15/91
Three letters picked without replacement from rgrrgrugrruru. Give prob of sequence ggg.
1/286
Calculate prob of sequence rtr when three letters picked without replacement from ttttfrfrt.
5/252
Calculate prob of sequence xs when two letters picked without replacement from grgrrwxsxzrgr.
1/78
Three letters picked without replacement from iitzisiiviqisvtq. Give prob of sequence vvz.
1/1680
What is prob of sequence ln when two letters picked without replacement from sqnqqqnmml?
1/45
Three letters picked without replacement from {q: 5, v: 2, g: 9}. Give prob of sequence vqg.
3/112
Four letters picked without replacement from {d: 2, o: 9}. What is prob of sequence oooo?
21/55
Two letters picked without replacement from dhkbkjhbz. What is prob of sequence kj?
1/36
Two letters picked without replacement from {q: 2, v: 4, n: 9, k: 3}. What is prob of sequence vn?
2/17
Two letters picked without replacement from {c: 2, i: 3}. Give prob of sequence ci.
3/10
Two letters picked without replacement from {f: 6, v: 2}. What is prob of sequence fv?
3/14
Two letters picked without replacement from {o: 1, t: 1, f: 1}. What is prob of sequence tf?
1/6
Two letters picked without replacement from {b: 6, p: 13}. What is prob of sequence pp?
26/57
Two letters picked without replacement from {t: 9, h: 2, q: 3, g: 5}. What is prob of sequence qg?
5/114
Calculate prob of sequence mmg when three letters picked without replacement from {m: 3, g: 2, v: 5}.
1/60
Calculate prob of sequence sff when three letters picked without replacement from {s: 2, g: 6, a: 3, f: 3, p: 1, v: 5}.
1/570
Calculate prob of sequence pepp when four letters picked without replacement from {p: 8, e: 3}.
7/55
Two letters picked without replacement from aqqaajaooqqqaaaa. Give prob of sequence oj.
1/120
Three letters picked without replacement from {a: 2, b: 7, g: 9}. Give prob of sequence gab.
7/272
Four letters picked without replacement from {e: 5}. Give prob of sequence eeee.
1
Four letters picked without replacement from hkkrkhkkllkhkkhkklkh. Give prob of sequence hhrl.
1/1938
Calculate prob of sequence jdj when three letters picked without replacement from {d: 8, j: 6, l: 1}.
8/91
What is prob of sequence ur when two letters picked without replacement from {z: 1, r: 1, y: 1, u: 1, p: 1}?
1/20
Calculate prob of sequence xkty when four letters picked without replacement from pppxppppypnpktpnptnp.
1/58140
Calculate prob of sequence uc when two letters picked without replacement from {u: 8, a: 7, w: 1, c: 1}.
1/34
What is prob of sequence qqh when three letters picked without replacement from eheqqheeeeeeqeeheqh?
8/969
Two letters picked without replacement from {b: 15, t: 2, p: 3}. Give prob of sequence pb.
9/76
Calculate prob of sequence wb when two letters picked without replacement from {p: 5, h: 1, b: 2, w: 1}.
1/36
Two letters picked without replacement from tyjxytf. What is prob of sequence xf?
1/42
Three letters picked without replacement from qqyqqtqyhttyqqthyyq. Give prob of sequence htt.
4/969
Four letters picked without replacement from {e: 8, g: 5}. What is prob of sequence gege?
28/429
Calculate prob of sequence xyxo when four letters picked without replacement from {y: 1, o: 3, w: 1, x: 2}.
1/140
Four letters picked without replacement from {x: 4, y: 4, z: 4, u: 3}. What is prob of sequence yzxx?
8/1365
Three letters picked without replacement from {r: 5, n: 5}. Give prob of sequence nnr.
5/36
What is prob of sequence jc when two letters picked without replacement from jjjjjcjjccjcjjjcjc?
4/17
Calculate prob of sequence fp when two letters picked without replacement from mpmfppppmppmmpppmp.
11/306
Three letters picked without replacement from {o: 1, l: 6, x: 4}. What is prob of sequence xlo?
4/165
Two letters picked without replacement from {k: 2, m: 4}. Give prob of sequence kk.
1/15
Three letters picked without replacement from adlddfdbdbddbbxd. What is prob of sequence dxa?
1/420
Two letters picked without replacement from {s: 4, t: 5, q: 5}. What is prob of sequence qs?
10/91
Three letters picked without replacement from {o: 1, h: 1, b: 3, d: 1, a: 11, e: 3}. What is prob of sequence ohd?
1/6840
Calculate prob of sequence lqlq when four letters picked without replacement from wlwwqlqwwwvlb.
1/1430
Two letters picked without replacement from arrarrrr. Give prob of sequence ar.
3/14
Four letters picked without replacement from {j: 7, z: 7}. Give prob of sequence jjjz.
35/572
Calculate prob of sequence jjq when three letters picked without replacement from wwiijijiwwqiji.
1/364
Four letters picked without replacement from {a: 3, r: 4, p: 1}. What is prob of sequence rrpr?
1/70
Three letters picked without replacement from {y: 5, a: 5, o: 3}. Give prob of sequence yao.
25/572
Calculate prob of sequence zzz when three letters picked without replacement from zzztzoozo.
5/42
Two letters picked without replacement from {f: 6, c: 13}. What is prob of sequence fc?
13/57
What is prob of sequence zps when three letters picked without replacement from ezppsepespe?
4/495
Four letters picked without replacement from {k: 3, f: 12}. Give prob of sequence kfff.
11/91
Two letters picked without replacement from {q: 4, p: 9, e: 2, s: 1, a: 2, c: 2}. What is prob of sequence as?
1/190
Calculate prob of sequence mh when two letters picked without replacement from dsehhemdhhhd.
5/132
Four letters picked without replacement from {p: 4, m: 10}. Give prob of sequence pmmm.
120/1001
What is prob of sequence ee when two letters picked without replacement from {e: 11, f: 1, g: 1}?
55/78
Two letters picked without replacement from qmmqmbqbjq. What is prob of sequence jb?
1/45
Calculate prob of sequence yg when two letters picked without replacement from {g: 3, y: 3}.
3/10
Two letters picked without replacement from bbhhhbbbhbhhb. Give prob of sequence hh.
5/26
Three letters picked without replacement from kkqkwww. What is prob of sequence www?
1/35
Three letters picked without replacement from {g: 1, v: 1, m: 3, p: 3, o: 4, n: 3}. What is prob of sequence vpm?
3/910
Four letters picked without replacement from fjjdd. What is prob of sequence djdf?
1/30
What is prob of sequence rb when two letters picked without replacement from qlpllqxlqbrbxr?
2/91
What is prob of sequence jhh when three letters picked without replacement from hhjhhhhh?
1/8
Three letters picked without replacement from iibiiiibbbbbbbbi. Give prob of sequence iii.
1/16
What is prob of sequence ibq when three letters picked without replacement from {b: 4, q: 1, i: 3}?
1/28
What is prob of sequence hz when two letters picked without replacement from hdohodddhfohodzzhddh?
3/95
Calculate prob of sequence unjj when four letters picked without replacement from auuajnnjnjjcnnxxn.
3/1190
Three letters picked without replacement from iggggggigi. What is prob of sequence igg?
7/40
What is prob of sequence tut when three letters picked without replacement from {t: 6, n: 3, u: 8}?
1/17
Four letters picked without replacement from {c: 1, r: 1, f: 2}. Give prob of s | {
"pile_set_name": "DM Mathematics"
} |
5b
In base 9, what is -5 + 754?
748
In base 6, what is 32 + -314?
-242
In base 8, what is -2 - -5?
3
In base 13, what is -25 + -5?
-2a
In base 10, what is 2 - -35?
37
In base 2, what is -100010 + 11010?
-1000
In base 9, what is -57 + -1?
-58
In base 8, what is -5 + 2264?
2257
In base 6, what is 15140 + -5?
15131
In base 9, what is -7507 - 3?
-7511
In base 10, what is 10 - -18?
28
In base 14, what is 176 - -1?
177
In base 10, what is 76 - 5?
71
In base 9, what is -1 + 0?
-1
In base 3, what is -101 + -10020111?
-10020212
In base 15, what is -2357 + 4?
-2353
In base 6, what is 45551 + -5?
45542
In base 2, what is -1100 - -1101010?
1011110
In base 10, what is 124 + -1?
123
In base 3, what is -1012221 - 11?
-1020002
In base 7, what is 3 + -21153?
-21150
In base 14, what is 1ad - 3?
1aa
In base 8, what is 15 + -12?
3
In base 8, what is -215 - 5?
-222
In base 5, what is -330 + -21?
-401
In base 15, what is 673 + 1?
674
In base 16, what is 479 + 4?
47d
In base 9, what is 370 + -11?
358
In base 11, what is 516 + -3?
513
In base 9, what is 7 - -463?
471
In base 15, what is b70 + 4?
b74
In base 11, what is 105 - 3?
102
In base 4, what is 3211 + -11?
3200
In base 15, what is -2b7 + 1?
-2b6
In base 10, what is 5 + -33?
-28
In base 8, what is 1 + -10?
-7
In base 14, what is -666 - 0?
-666
In base 6, what is -5 + 125?
120
In base 2, what is -101 - -1111101101?
1111101000
In base 8, what is 1 + -4365?
-4364
In base 15, what is 365 + -c?
358
In base 3, what is 10 - -21202020?
21202100
In base 3, what is -12 - 1111022?
-1111111
In base 7, what is -5 - -3264?
3256
In base 11, what is -2 + 36?
34
In base 13, what is -51 + 39?
-15
In base 15, what is -13 - -2?
-11
In base 10, what is -129 + 0?
-129
In base 5, what is 2203 - -10?
2213
In base 14, what is 736 + -2?
734
In base 9, what is -7 + -1?
-8
In base 10, what is -317 - 0?
-317
In base 8, what is -1 - 136?
-137
In base 15, what is -41 - 13?
-54
In base 15, what is -9 - 4?
-d
In base 8, what is -6 - -2246?
2240
In base 13, what is 51 - 5?
49
In base 12, what is 0 - 578?
-578
In base 6, what is -3 - -323?
320
In base 12, what is -5b - 5?
-64
In base 12, what is -4 + -203?
-207
In base 10, what is 7053 + 5?
7058
In base 4, what is 23 + 102100?
102123
In base 11, what is -1 - 156?
-157
In base 2, what is -100110110 + -101?
-100111011
In base 6, what is -14252 + 3?
-14245
In base 7, what is 1155 - 5?
1150
In base 6, what is 34 + 1?
35
In base 6, what is -11124 - 15?
-11143
In base 2, what is 0 + 100010000?
100010000
In base 5, what is 1 - -322?
323
In base 10, what is 83 + -58?
25
In base 8, what is 14 - -24?
40
In base 10, what is -10 - -22?
12
In base 6, what is -13 - -11?
-2
In base 2, what is -10 + 1010001110?
1010001100
In base 6, what is 2 - -1030?
1032
In base 8, what is -4 - -717?
713
In base 4, what is 0 + -12213?
-12213
In base 10, what is 222 + 0?
222
In base 9, what is -3523 - 2?
-3525
In base 12, what is -656b + -4?
-6573
In base 15, what is 52 + 4?
56
In base 4, what is 0 + 122?
122
In base 9, what is 22 + 16?
38
In base 5, what is 3 - 23112?
-23104
In base 16, what is -334 + -4?
-338
In base 7, what is 1356 - -15?
1404
In base 14, what is 0 + 3c?
3c
In base 7, what is 5 + 545?
553
In base 11, what is -4 - 18?
-21
In base 4, what is -1020 + 2223?
1203
In base 15, what is -29 - 2?
-2b
In base 9, what is -187 + -4?
-202
In base 16, what is 5 - -1f?
24
In base 16, what is -2c1 - -1?
-2c0
In base 14, what is -6 - 4?
-a
In base 3, what is 102 - -11122?
12001
In base 10, what is 4 - 102?
-98
In base 8, what is -12 - -4063?
4051
In base 3, what is 0 + -2021?
-2021
In base 14, what is -21b2 - -4?
-21ac
In base 11, what is -4 - 647?
-650
In base 3, what is -2 + -11221122?
-11221201
In base 5, what is 1 - 2322?
-2321
In base 2, what is -1110 + 111011?
101101
In base 4, what is 201111 - -3?
201120
In base 2, what is -100101 + 10?
-100011
In base 14, what is 1a6 - -2?
1a8
In base 11, what is -16 + 28?
12
In base 11, what is -5 - 178?
-182
In base 12, what is -3 - -a?
7
In base 13, what is 8 + c7?
102
In base 9, what is 8 - -3?
12
In base 5, what is -4 + 344?
340
In base 15, what is -c - 134?
-141
In base 12, what is -5 + -1?
-6
In base 4, what is 2 - -2130?
2132
In base 11, what is -25 + 410?
396
In base 10, what is -1 + -28?
-29
In base 6, what is 43 - 5?
34
In base 5, what is -1221 - 2?
-1223
In base 10, what is -14 + 8?
-6
In base 3, what is 0 + 12010?
12010
In base 3, what is -11112 - 0?
-11112
In base 4, what is -3310 - 12?
-3322
In base 16, what is 14 + 36?
4a
In base 9, what is 13 - 77?
-64
In base 9, what is -50 + -111?
-161
In base 12, what is -3 - 10?
-13
In base 7, what is 2 + 22?
24
In base 11, what is -2521 + -4?
-2525
In base 3, what is -1210 - -12?
-1121
In base 4, what is 110202 + 2?
110210
In base 7, what is 10 + -5?
2
In base 9, what is -11 + 14?
3
In base 5, what is -3 - -140301?
140243
In base 14, what is d - 36?
-27
In base 2, what is 10 + -11100?
-11010
In base 3, what is -1002 + 1012?
10
In base 5, what is 404342 - 4?
404333
In base 10, what is 1 - 152?
-151
In base 7, what is 5325 - -2?
5330
In base 14, what is -6 + b9?
b3
In base 7, what is 5 + 1050?
1055
In base 2, what is -100101100001 + -101?
-100101100110
In base 13, what is 42 + -ca?
-88
In base 5, what is 1034 - -10?
1044
In base 5, what is -320 + 421?
101
In base 13, what is -79 + 8?
-71
In base 7, what is -11 + -151?
-162
In base 13, what is -b - 106?
-114
In base 6, what is -154201 + 3?
-154154
In base 16, what is -e - -7?
-7
In base 11, what is -5 + -231?
-236
In base 4, what is 2200 - -120?
2320
In base 10, what is -42 - -67?
25
In base 2, what is -110011011 + -101?
-110100000
In base 2, what is -1000101001101000 - -1?
-1000101001100111
In base 14, what is 49 - -3?
4c
In base 2, what is -111 - 1001001?
-1010000
In base 5, what is -1024 + -1?
-1030
In base 14, what is 7b - 1?
7a
In base 3, what is 20100020 - 0?
20100020
In base 3, what is -12 + -10022?
-10111
In base 8, what is -2 + -1163?
-1165
In base 3, what is 20 - -102?
122
In base 16, what is 2 + 228?
22a
In base 5, what is 0 + 23?
23
In base 8, what is -1323 + 4?
-1317
In base 12, what is 1 - -138?
139
In base 14, what is 18d - -3?
192
In base 16, what is 2 + -8e?
-8c
In base 9, what is -4402 - 3?
-4405
In base 5, what is 4 + 432?
441
In base 8, what is 0 + 7?
7
In base 15, what is -11 + -1b?
-2c
In base 14, what is 2a7 - -3?
2aa
In base 16, what is 75 + -2?
73
In base 3, what is 1021 + 12?
1110
In base 2, what is 11011 - 1010100?
-111001
In base 5, what is 1 - 24010?
-24004
In base 7, what is 3602 - 1?
3601
In base 5, what is 23040 - -4?
23044
In base 10, what is -209 + -14?
-223
In base 3, what is -20010121 + 11?
-20010110
In base 4, what is -3 - 223023?
-223032
In base 12, what is 25 - 0?
25
In base 10, what is 29 - 548?
-519
In base 2, what is -10010 - 1000?
-11010
In base 13, what is -5 - 1c?
-24
In base 16, what is -5d - -23?
-3a
In base 14, what is -1 - 17?
-18
In base 5, what is -1 + -3211?
-3212
In base 8, what is 1 + 0?
1
In base 14, what is 5 - -244?
249
In base 11, what is -415a + 3?
-4157
In base 16, what is -6 + f?
9
In base 11, what is -5 - -52?
48
In base 11, what is -231 - -15?
-217
In base 15, what is -12 + -1d?
-30
In base 7, what is 4032 + -3?
4026
In base 10, what is 250 + 7?
257
In base 14, what is -17 + 11?
-6
In base 9, what is -667 - 4?
-672
In base 6, what is 503 + 2?
505
In base 2, what is -101 - 1011100?
-1100001
In base 8, what is 351 - -34?
405
In base 11, what is -17 - -6?
-11
In base 16, what is -69 - 1a?
-83
In base 10, what is -90 + -107?
-197
In base 5, what is -14 - -402?
333
In base 11, what is 4 + -6?
-2
In base 6, what is -1103 + -2?
-1105
In base 9, what is 7 + 187?
205
In base 5, what is 100410 + 4?
100414
In base 6, what is 23 - 135?
-112
In base 9, what is -5 + -63?
-68
In base 11, what is -99a + 3?
-997
In base 12, what is -5 - 373?
-378
In base 12, what is -1 + 342?
341
In base 3, what is -21 + 10111100?
10111002
In base 6, what is -35415 + 4?
-35411
In base 7, what is -42 + 1?
-41
In base 5, what is 10 - 4230?
-4220
In base 13, what is -a - 1?
-b
In base 16, what is f - 1?
e
In base 13, what is -c4 - 0?
-c4
In base 2, what is -101 + -101011101000?
-101011101101
In base 5, what is 20 + 10?
30
In base 7, what is -2 - -14464 | {
"pile_set_name": "DM Mathematics"
} |
= -16*m + n*m + 10 for m.
1
Let k be (-37)/111 + (-50)/(-6). Solve k*l + l = -5*l for l.
0
Suppose -10 = -5*t + 5. Suppose -t*i = -6*i + 15. Suppose 5*o - i*m = 20, -4*o - 2*m - 5 = 3. Solve o = 5*f - 12 - 8 for f.
4
Suppose 4*v - 4*c + 7 = -9*c, 4*v - 20 = 4*c. Solve 23 = -v*f + 25 for f.
1
Let d = 2015 - 2015. Solve 14*m - m + 26 = d for m.
-2
Let l be (-13 - -4) + 30 - (-15)/(-3). Solve -l*h = h - 68 for h.
4
Let q(u) = 7*u + 545. Let b be q(-27). Solve 6*v = -b + 368 for v.
2
Let h(o) be the first derivative of -o**3/3 - 10*o**2 - 26*o + 11. Let v be h(-18). Solve -4*w - v = w for w.
-2
Let m = -2 - -4. Let n be ((-50)/(-20))/(m/4). Suppose n*o + 4 - 14 = 0. Solve 0 = -o*a + 4*a - 10 for a.
5
Let d be (-5)/10 - (-67)/2. Let u = 36 - d. Solve k - u*k = 6 for k.
-3
Let v(r) = 2*r**2 + 3*r - 2. Suppose 2*g - 1 = -5*s - 9, -4*s - 8 = 0. Let u be v(g). Solve 0 = 2*b - 1 + u for b.
-1
Suppose -4*m = 82 - 2. Let t be (-5)/m + 22/8. Suppose 0 = -3*i - 9, -t*i + i = b + 3. Solve 10 = -b*x + x for x.
-5
Suppose 4*n - 15 = 33. Solve -13 = 5*c + n for c.
-5
Let g be (-8)/(-48)*46 + 2/(-3). Solve -2 + g = -5*h for h.
-1
Let m(v) = 2*v + 2. Let w be (-3)/(9/3)*1. Let b be m(w). Suppose 4*h + 2*p = 11 + 3, 2*h + 5*p = 11. Solve h*t = -b*t for t.
0
Suppose 8*r - 10*r = -8. Suppose -2*h + 4 = -4*f - r, -2*f = 3*h - 12. Solve -6 = -h*l + 6 for l.
3
Let o = 11 + -34. Let d = 27 + o. Solve -d = 4*y - 24 for y.
5
Let a = -1040 - -1048. Solve a*t = 56 - 16 for t.
5
Let a = 1161 + -1127. Solve 31*p = a*p + 12 for p.
-4
Let v(u) = u - 3. Let i be v(3). Suppose i = -4*s + s. Let a = 219 - 218. Solve c + a = -s*c for c.
-1
Suppose -3*h + 2*h = -3. Suppose -i - h = -8. Suppose -a + 6 = w - 0*a, 5*w - i*a = -10. Solve r - w*r = -5 for r.
5
Let x(d) = d**3 + 11*d**2 + 9*d - 2. Let n be ((-6)/(-2) - 4)*-3. Suppose j + 13 = n. Let t be x(j). Solve -3*q + q = t for q.
-4
Let r = 8 - 8. Let a(p) = p + 2. Let b be a(r). Suppose -3*w + 41 = 4*n, 19 = 3*n - 2*w + 1. Solve -n = -0*l + b*l for l.
-4
Let r(w) = -2*w**2 - 24*w - 37. Let f be r(-10). Suppose 4*c - 5*s = 76, -5*c + 5*s = -f*c - 28. Solve 0 = 4*d + c - 8 for d.
-4
Suppose -4*n + 5 = -31. Suppose 0 = 79*o - 85*o. Solve o = -2*u + n - 1 for u.
4
Let a(r) = -r**3 - 6*r**2 + 3*r + 3. Let g(w) = -3*w + 14. Let y be g(6). Let q be a(y). Let n = 56 + q. Solve n = 2*t - 5*t for t.
-5
Let y be -4*948/(-32)*(-2)/(-3). Solve 3*t + y = 85 for t.
2
Suppose 0 = 2*y - 5*p - 37, -5*y - 3*p + 10 + 5 = 0. Let w(t) be the second derivative of -t**3/6 + 6*t**2 - 2*t. Let i be w(y). Solve 0*m - 2*m = -i for m.
3
Suppose 4*r = 4*m - 32, 2*r - 4*r - 16 = 3*m. Let y = -5 - r. Suppose f - 27*f = -3*f. Solve f*z = y*z - 6 for z.
2
Let b be -4*6/3*-1. Let n(g) = -g**2 + 7*g + 4. Let w be n(b). Let i be ((-9)/(-2))/(w/(-8)). Solve -11 - i = 4*z for z.
-5
Let m = 1253 - 1249. Solve 93 - 81 = -m*p for p.
-3
Let z be (-8)/192*-3 + 30/16. Solve 2*a - z = 4*a for a.
-1
Suppose -10*m = 24*m - 544. Solve 8*y - 4*y = -m for y.
-4
Suppose 3*h + 4*p + 50 = 0, 2*h - 2 = -4*p - 38. Let l be 45*1/7 + 6/h. Solve -l = w - 5 for w.
-1
Suppose -2*l + 6 + 18 = 0. Suppose -4*c - 3*w + l = w, -c - 5*w = 9. Suppose 9 = q + c. Solve -a = -q*a for a.
0
Suppose 0*u = j + u - 6, 0 = 2*j + 5*u - 18. Solve -j*s - s = 0 for s.
0
Let m(w) = -w + 1. Let c be m(-4). Suppose 0 = -c*o + 3*o. Let g be (2 - 1)*(4 - 1). Solve o = -g*h - 2*h - 10 for h.
-2
Suppose 10*s = 11*s - 5, -24 = -t - 4*s. Solve 5*c - 4*c = -t for c.
-4
Suppose 2 = -2*p, -n = -3*n - 5*p - 5. Suppose n*t + 2*t - 6 = 0. Suppose -t*i = -8*i. Solve i = -o + 3*o for o.
0
Let t be 42/16 + (-12)/(-32). Solve t = 3*p + 12 for p.
-3
Let t(y) = -2*y + 2. Let g be t(-1). Suppose 3*a + 38 = g*k - 23, a + 3 = 0. Solve 2 = 5*f - k for f.
3
Suppose 12 - 2 = 5*t. Let i be (-1)/(-3) + 51/9 + -4. Let k be i/(-7) + (-172)/(-28)*2. Solve 5*s = t*s + k for s.
4
Suppose 3*n - 8*n - 150 = 0. Let v be (-176)/n + 14/105. Solve -3*l - 18 = -v for l.
-4
Suppose -4*v + 11*g + 24 = 7*g, -2*g = -5*v + 36. Solve -v*c = -38*c for c.
0
Suppose 59*l - 54*l - 185 = 0. Solve 33*p + 20 = l*p for p.
5
Let d = -8 - -6. Suppose 7 = -3*r - 5*k, -k - 1 = -2*k. Let s = d - r. Solve t = s*t for t.
0
Let k(f) = -f**2 - f - 2. Let q be k(-4). Let r = 14 + q. Suppose -3*b - 2*m + 7 = r, -b + 2*m + 3 = -2. Solve 0 = b*t + t + 12 for t.
-3
Let x be (2 - (-5 - -2) - -2) + -4. Solve x*g = -9 + 3 for g.
-2
Let z = 285 - 264. Solve -33 = 3*h - z for h.
-4
Suppose 0 = 5*d + 10, -5*d + 15 = -0*a + 5*a. Suppose 5*j + 3 = 3. Suppose j*i = a*i - 10. Solve 0 = -2*x - 12 + i for x.
-5
Let r(t) = t**3 - 7*t**2 + 11*t + 1. Let f be r(5). Suppose 0 = 3*s - 59 - 1. Solve -j - s = -f*j for j.
4
Let i = -31 + 47. Suppose 18*g - i*g = 6. Solve 3*b + g + 12 = 0 for b.
-5
Let g be (((-5)/15)/(-1))/(2/12). Let w be 33/9 + 4/(-6). Suppose v = 5*v + 5*s - 11, w*s = -v + 1. Solve 2*a - g = v for a.
3
Let v(h) = 4*h - h**2 - 2*h - 2 - 8*h. Let o be v(-4). Let t be (-8)/6*(-9)/o. Solve -3*c - t*c = 15 for c.
-3
Let d = 425 + -416. Solve -v = d*v for v.
0
Suppose 2 = -3*o + 14. Suppose 4 = -o*k + 84. Suppose -5*a = -4*t, 2*a + a - 5*t = 0. Solve 4*d + a*d + k = 0 for d.
-5
Let x be 0/(2*(-4 - -2)). Solve -4*z + 6*z = x for z.
0
Let v(k) = -3*k + 4 - 3 - 5. Suppose 5*o - 17 = q, 0 = o + 3*o - 12. Let s be v(q). Solve -s*u = -0*u - 10 for u.
5
Let v(b) = -b**3 + 15*b**2 - 13*b + 13. Let z be v(14). Suppose z = 2*c + 19. Solve -c*n = 7 + 13 for n.
-5
Let s(w) = -26*w**2. Let x be s(-1). Let o be (0 - (-1)/(-1)) + 30. Let p = x + o. Solve p*z - 4*z = -3 for z.
3
Suppose 4*w + 32 = 8*w. Suppose w = 4*d, 4*j + d = -0 + 10. Solve -f = j*f for f.
0
Suppose -5*r + 5*x = -305, -6*x + 8*x - 198 = -3*r. Solve r*j + 6 = 61*j for j.
-2
Let z be 1/5 - 63/(-35). Solve 4*a - z = 3*a for a.
2
Let r = 320 + -311. Solve -r = -7*j - 23 for j.
-2
Let q = -134 + 138. Let k(g) = 2*g - 3*g + 0*g. Let w be k(-2). Solve -6*x = -q*x - w for x.
1
Suppose -13*u - 17 = -14*u. Solve -u*i = -13*i - 20 for i.
5
Let m be (-2)/(-10)*-15*(-1 + 0). Solve 2 = m*w + 14 for w.
-4
Suppose -4*g - 92 = -164. Solve -6*m + g + 12 = 0 for m.
5
Let n(r) = -3*r**2 + 16*r + 13. Let o be n(6). Let f be 28/14 + (1 - 1). Solve -3*w - o = f for w.
-1
Suppose 4*q = a - 19, 21 = -36*a + 39*a - 3*q. Solve -3*j = -2*j + a for j.
-3
Let f = 26 - 23. Let u = 204 + -203. Solve f = 2*r - u for r.
2
Let z = 15 - 7. Suppose -z*d - 5 = -37. Solve d = w + 3*w for w.
1
Let r = -34 + 39. Suppose 2*y = y - 4*n + 7, r*n = -3*y + 14. Solve 0 = y*u - 6*u - 6 for u.
-2
Let d be ((-39)/(-12) + -1)*-4. Let f = d - -13. Suppose 2*y - 13 = -3. Solve -u - y = f*u for u.
-1
Let p = -129 + 159. Solve 6*n = -0*n + p for n.
5
Let f(k) = -k**3 + 8*k**2 + 26*k - 146. Let h be f(9). Solve -4*m - h*m + 22 = 0 for m.
2
Suppose 5*w + 60 = a, 11*w - 44 = -a + 12*w. Solve a = -5*k + 20 for k.
-4
Suppose -a = -5*x + 12, 2*a + 8 = x - a. Suppose -x*g + 16 = 10. Solve -b + g = -0 for b.
3
Let r be -8*(-4)/(-16)*-2. Suppose -3*d - 3 - 24 = 3*m, -36 = r*d + m. Let p = d - -11. Solve 5*z = 8 + p for z.
2
Let o(m) = m**2 + 6*m + 4. Let g be o(-5). Let u = -3 + 0. Let j = g - u. Solve 0*s = -j*s for s.
0
Suppose -3 = -g - 0. Let i be 11/30 + 80/(-480) + 118/10. Solve -g*f + i = -7*f for f.
-3
Let u(g) = 7*g - 3. Let y be u(5). Suppose -29*d + y*d - 6 = 0. Solve d*i + i + 9 = 0 for i.
-3
Suppose -i - 3 = -2*i. Suppose 2*g = -i*g - 4*r - 15, -5*g - 5*r = 20. Solve -g + 5 = m for m.
4
Let d = 196 - 189. Solve -10 = -d*m + 5*m for m.
5
Let d(x) = -x**3 + x**2 - x - 32. Let q be d(0). Let i = -27 - q. Solve 0 = l + 4 - i for l.
1
Suppose 0 = 2*s + j - 2, 2*j + j = -3*s. Suppose -3*y - 5*m + 205 = 2*y, -5*m = -5*y + 175. Let a be y/14 + (-4)/(-14). Solve 0 = s*b + a*b for b.
0
Let n(k) = -2*k + 2. Suppose 5*s - z - 46 = 1, -2*s + 5*z + 28 = 0. Let r be n(s). Let c = r + 24. Solve -4*x = c + 4 for x.
-3
Let d(k) = -k**2 - 3*k + 13. Let m be (24/(-2))/3 - 3. Let h be d(m). Let j be (-56)/(-12) - (-10)/h. Solve x - 6 = j*x for x.
-2
Suppose 0 = -r + 3*u - 5, -26 = -5*r - 3*u + 39. Suppose -3*v + 3*m + 27 = 0, -v - 4*m - 24 = -3*v. Solve f - r = v*f for f.
-2
Let m = -256 + 268. Solve -2*d = -6*d - m for d.
-3
Suppose 2*w + 5*s - 6 = 0, 3 = -3*s - 3. Let u(t) = -t**2 + 7*t + 9. L | {
"pile_set_name": "DM Mathematics"
} |
*6/225 - f**5/50 - f**4/10 - f**3/9 + 1398*f. Factor s(w).
2*w*(w - 5)*(w + 1)**2/15
Let s(u) be the third derivative of -25*u**7/42 + 155*u**6/12 - 121*u**5/12 + 5*u**4/2 - 2507*u**2. Factor s(i).
-5*i*(i - 12)*(5*i - 1)**2
Let t(o) be the first derivative of 4*o**3/9 - 1352*o**2/3 + 900*o - 12094. Factor t(d).
4*(d - 675)*(d - 1)/3
Let m = -10463 - -115095/11. Factor 0 + 6/11*t**2 + 8/11*t**3 - m*t.
2*t*(t + 1)*(4*t - 1)/11
What is b in -54*b - 2*b**3 - 240*b + 362*b + 412*b - 86*b**2 = 0?
-48, 0, 5
Let k(b) = -17*b + 70. Let s be k(4). Let -5*a**2 + s*a**2 - 18*a + 15*a = 0. What is a?
-1, 0
Let v be 0*4/(-36)*3. Factor -5*b**3 - 10*b**4 + 4*b**5 + v*b**5 + 10*b**2 + b**5.
5*b**2*(b - 2)*(b - 1)*(b + 1)
Let b(n) be the second derivative of n**4/24 + 53*n**3/4 - 243*n**2/2 + 8916*n. Let b(u) = 0. Calculate u.
-162, 3
Let h(x) be the third derivative of -50/3*x**3 + 0*x + 0 - 1/15*x**5 + 43*x**2 - 5/3*x**4. Solve h(t) = 0 for t.
-5
Let s(x) be the third derivative of x**7/1365 + x**6/780 - x**5/65 - 186*x**2. Factor s(f).
2*f**2*(f - 2)*(f + 3)/13
Let b = 131137867/383164 + 3/95791. Suppose -1295/4*h - 73/4*h**2 - 1/4*h**3 + b = 0. Calculate h.
-37, 1
Let m = -264 - -234. Let d(z) = 23*z**2 - 10*z - 33. Let c(j) = -4*j**2 + 2. Let x(r) = m*c(r) - 5*d(r). Factor x(h).
5*(h + 3)*(h + 7)
Factor -3/4*w**2 - 81/2 - 63/4*w.
-3*(w + 3)*(w + 18)/4
Suppose -3*r + 8 = -3*w - 16, -3*r - 3*w = 0. Solve 2*h**r - 72*h**3 - 416*h - 2176*h + 648*h**2 + 3888 + h**4 = 0 for h.
6
Suppose -325/3*y + 164/3*y**2 + 54 - 1/3*y**3 = 0. Calculate y.
1, 162
Factor 2/7*a**3 + 0*a + 96/7*a**2 + 0.
2*a**2*(a + 48)/7
Find r, given that 4/5 + 24842205*r**2 + 8916*r = 0.
-2/11145
Let l(c) = 10*c - 29. Let k be l(-30). Let f = k - -331. Factor -b + 0 + 3*b**f + 9/4*b**3 - 7/4*b**4.
-b*(b - 2)*(b + 1)*(7*b - 2)/4
Let w(s) = s**2 - 5*s + 3. Let c(v) = -3. Let x(f) = -2. Let i(p) = -c(p) + 2*x(p). Let y(o) = 3*i(o) + w(o). Factor y(d).
d*(d - 5)
Determine l so that -2*l**4 - 883*l - 4109*l - 5408 - 92*l**2 - 852*l**2 + 96*l**3 = 0.
-2, 26
Factor 13/5*u**4 + 0 - 8/5*u**3 - 6/5*u**5 + 0*u + 1/5*u**2.
-u**2*(u - 1)**2*(6*u - 1)/5
Suppose -84 = -20*l + 16. Let i(u) = 8*u**2 + 326*u - 4042. Let r(x) = -3*x**2 - 109*x + 1347. Let w(o) = l*i(o) + 14*r(o). Let w(c) = 0. Calculate c.
26
Suppose -12*p - 3194 = -3266. Let l(o) be the second derivative of 0*o**2 + 0*o**p - 20/3*o**3 - 17/10*o**5 + 0 + 16*o + 1/21*o**7 + 6*o**4. Factor l(b).
2*b*(b - 2)**2*(b - 1)*(b + 5)
Let o(u) be the first derivative of -6*u**2 - 3/20*u**5 - 4*u**3 - 5/4*u**4 - 14 - 19*u. Let k(r) be the first derivative of o(r). Factor k(f).
-3*(f + 1)*(f + 2)**2
Factor -6/5*x - 27/5 + 1/5*x**2.
(x - 9)*(x + 3)/5
Let n(r) = -r**2 + 14*r + 12. Let y be n(16). Let g be (-6)/y*(6 - (-248)/(-48)). Determine t so that 0 + 0*t**2 - 3/4*t**3 - g*t**4 + t = 0.
-2, 0, 1
Solve 2/9*k**5 + 868562/9*k**3 + 0 + 0*k**2 + 0*k + 2636/9*k**4 = 0 for k.
-659, 0
Solve -5*v**2 + 107*v**3 + 3*v**4 - 4*v**2 + 19*v**3 - 234 - 357*v - 9*v**3 = 0.
-39, -1, 2
Let p = 194231 + -971107/5. Find q such that -42/5*q**5 + 0 - p*q**2 + 54/5*q**3 + 68/5*q**4 + 8/5*q = 0.
-1, 0, 2/7, 1/3, 2
Let s(k) be the third derivative of -k**7/350 - 81*k**6/200 - 2187*k**5/100 - 19683*k**4/40 - 256*k**2. Factor s(y).
-3*y*(y + 27)**3/5
Suppose -29*z + 6*z + 1656 = 0. Let d be (z/120)/(3 + -2). Factor -9/5*o**2 + 0*o + 0 - d*o**3.
-3*o**2*(o + 3)/5
Let 37805*z**2 - 66 + 75 + 294*z - 37806*z**2 + 286 = 0. What is z?
-1, 295
Let v(g) be the third derivative of -g**5/30 + 8*g**4 - 704*g**3/3 + g**2 - 4432*g. Factor v(t).
-2*(t - 88)*(t - 8)
Let f be 110/(-16) + 43/344 - -8. Suppose -4 = 5*a - 2*n, 4*n = -4*a - 2 + 10. Factor a - 5/2*x + 25/4*x**2 + f*x**4 - 5*x**3.
5*x*(x - 2)*(x - 1)**2/4
Suppose 2058 = 4*h + 3*y, -5*y + 8*y + 2046 = 4*h. Suppose h*b = 517*b - 144. Factor -3/2*z**4 - 12*z**3 - 33*z**2 - 27/2 - b*z.
-3*(z + 1)**2*(z + 3)**2/2
Let a(j) = 11*j - 6. Let c be a(1). Factor 42 + 39*h + c*h + 20*h**2 + h - 23*h**2 - 6*h.
-3*(h - 14)*(h + 1)
Let n(u) be the first derivative of -8/7*u**2 - 2/7*u**3 + 1/7*u**4 + 75 + 2/35*u**5 - 8/7*u. Factor n(f).
2*(f - 2)*(f + 1)**2*(f + 2)/7
Factor 9/2*p - 7 - 1/2*p**3 + 3*p**2.
-(p - 7)*(p - 1)*(p + 2)/2
Let v = 14175 - 98775/7. Let h = -1765/28 + v. Factor 1/4*f**3 - h*f - 1/4*f**4 + 1/2 + 3/4*f**2.
-(f - 1)**3*(f + 2)/4
Let d(t) = t**3 + 11*t**2 + 11*t + 9. Let x be d(-7). Solve 19*p - 58*p + x - 12*p**2 - 145*p = 0 for p.
-16, 2/3
Factor -14*m**3 - 50/13*m**4 - 246/13*m**2 - 32/13 - 146/13*m.
-2*(m + 1)**3*(25*m + 16)/13
Let z(x) be the third derivative of 0*x**3 - 1/672*x**8 - 7/120*x**5 + 0*x - 123*x**2 - 1/48*x**6 + 1/8*x**4 + 1 + 1/60*x**7. Find r such that z(r) = 0.
-1, 0, 1, 6
Let n(f) be the first derivative of 2*f**6/15 - 26*f**5/5 + 25*f**4/3 - 71*f + 90. Let o(i) be the first derivative of n(i). Factor o(u).
4*u**2*(u - 25)*(u - 1)
Suppose 10*h = 40 + 100. Suppose 5*w = 4*u + h, 5*w + 41*u = 46*u + 15. Factor -16/9*s - 16/9*s**3 - 8/3*s**w - 4/9*s**4 - 4/9.
-4*(s + 1)**4/9
Let f be 494/38*2/13. Find v, given that -4*v**2 + 88*v + 3316 - 5*v - 964 + 85*v + 7*v**f = 0.
-28
Let r(n) be the second derivative of -1/10*n**3 - 36*n - n**2 + 1/60*n**4 + 0. Find l, given that r(l) = 0.
-2, 5
Let b = 1212 + -1189. Suppose 39*m - 55 = b. Factor 0 + 2/11*p**3 + 4/11*p**m + 2/11*p.
2*p*(p + 1)**2/11
Let a(v) be the second derivative of -v**6/165 - v**5/110 + 26*v**4/33 + 160*v**3/33 + 48*v - 7. What is r in a(r) = 0?
-5, -4, 0, 8
Let a = 84889 + -84887. Suppose -2/13*z**a + 0 - 12/13*z = 0. What is z?
-6, 0
Let p(q) = 8*q**3 + 70*q - 208*q - 30*q**3 - 26 - 132*q**2. Let s(a) = -24*a**3 - 133*a**2 - 139*a - 27. Let n(r) = 3*p(r) - 2*s(r). Factor n(o).
-2*(o + 1)*(o + 6)*(9*o + 2)
Suppose -3*l = 2*u - 0*u - 83, -5*u - 5*l + 200 = 0. Suppose -80 = u*s - 41*s. Let -s + 0*d + 22*d - 2*d - 2*d**2 - 3*d**2 = 0. Calculate d.
2
Let 24/5*v**5 - 114/5*v**2 + 36/5*v + 0 + 142/5*v**4 - 32/5*v**3 = 0. What is v?
-6, -1, 0, 1/3, 3/4
Let i(r) be the third derivative of -r**6/60 - 121*r**5/20 + 137*r**4/6 - 61*r**3/2 - 922*r**2 + 2. Factor i(w).
-(w - 1)*(w + 183)*(2*w - 1)
Solve 82/15*k - 2/15*k**2 - 252/5 = 0 for k.
14, 27
Let f(g) be the third derivative of -g**5/60 - 95*g**4/4 - 27075*g**3/2 + 11*g**2 - 4. Factor f(w).
-(w + 285)**2
Let 919*g**3 - 160000 - 168000*g + 2461*g**3 + 52*g**4 - 4400*g**2 + 0*g**5 - 268*g**4 + 4*g**5 = 0. What is g?
-5, -1, 20
Let k(b) be the second derivative of b**7/21 + 7*b**6/15 + 7*b**5/5 + b**4/3 - 5*b**3 - 9*b**2 + 1169*b. Suppose k(h) = 0. What is h?
-3, -1, 1
Let k(v) be the second derivative of -4/15*v**4 - 4/75*v**6 - 1/210*v**7 + 0*v**2 + 2 - 1/6*v**3 - 9/50*v**5 - 55*v. Determine o, given that k(o) = 0.
-5, -1, 0
Let w be (24 - 714/28)/((-54)/(-24)*-2). What is t in 10/3*t**3 + w*t**4 + 40/3*t + 11*t**2 + 16/3 = 0?
-4, -1
Let b be (-2528)/(-364) + 2 + 586/2051. Solve 2400/13*w + 16000/13 + 2/13*w**3 + b*w**2 = 0.
-20
Let i(q) = -37*q - 962. Let l be i(-26). Let x(j) be the first derivative of l*j**3 + 0*j**2 + 35 + 0*j - 1/10*j**4. What is b in x(b) = 0?
0
Let v(z) be the third derivative of 5*z**2 + 25/4*z**5 + 0 + 15/2*z**4 + 0*z + 18/5*z**3. Factor v(o).
3*(25*o + 6)**2/5
Suppose 0 = -261*i + 256*i + 10. Factor -33*y - 37*y**2 + 9057*y**3 + y**i - 9060*y**3.
-3*y*(y + 1)*(y + 11)
Let r(y) be the second derivative of y**5/30 + 38*y**4/9 + 149*y**3/9 + 74*y**2/3 + 1737*y. Determine v so that r(v) = 0.
-74, -1
Factor -1946*l + 3886*l + 6 + 3*l**2 - l**4 + 3*l**3 - 1951*l.
-(l - 3)*(l - 1)**2*(l + 2)
Suppose -4*v - 306 - 458 = -5*j, j - 4*v = 156. Let -37*x - 80*x**2 - 28*x + 70 + j*x**2 - 77*x**2 = 0. Calculate x.
-14, 1
Let u(z) be the first derivative of -55 - 24/5*z**5 + 0*z**3 + 0*z**2 - 2/3*z**6 + 0*z - 5*z**4. Factor u(v).
-4*v**3*(v + 1)*(v + 5)
Suppose -3*d = -3*u, -u = -0*u - 2. Let j(y) = y**2 - y - 2. Let x(l) = -16*l**2 + 32*l + 36. Let g(t) = d*x(t) + 36*j(t). Suppose g(w) = 0. What is w?
-7, 0
Let k = 113 + -258. Let u = -142 - k. Suppose 9/4*r - 3/4 + 3/4*r**2 - 9/4*r**u = 0. What is r?
-1, 1/3, 1
Let k(c) be the third derivative of -60*c**2 + 1/48*c**5 + 0*c + 375/8*c**3 + 0 + 25/16*c**4. Determine p, given that k(p) = 0.
-15
Let d(v) = -14*v - 16. Let q be d(-38). Let l = q + - | {
"pile_set_name": "DM Mathematics"
} |
r**4 + 13*r**2 + 0*r - 11/6*r**3 + 0 + 8/105*r**7 + 0*r**5 + 0*r**6. Find the first derivative of h(k) wrt k.
64*k**3
Find the first derivative of 98*n**2 - 60 + 9*n**4 - 98*n**2 - 19*n**4 wrt n.
-40*n**3
Let s(q) be the first derivative of -31/4*q**4 - 21*q + 0*q**2 + 0*q**3 + 39. Find the first derivative of s(z) wrt z.
-93*z**2
Let h(q) = 9*q - 15. Let k be h(2). Let b(u) be the second derivative of 0 - 5*u - 9/2*u**2 - 3/2*u**k. Differentiate b(p) wrt p.
-9
What is the derivative of 5*s**3 + 7005*s - 7005*s - 36 wrt s?
15*s**2
Let n(o) = 233*o**2 - 9*o - 3. Let t(x) = -3*x**2 - x - 1. Let y(v) = n(v) - 2*t(v). What is the second derivative of y(c) wrt c?
478
What is the second derivative of -16 + 1 - 2 + 18 - 269*q**4 - 100*q wrt q?
-3228*q**2
Let a(t) be the first derivative of -5*t**4/4 - t**3 - 23*t**2 - 159. What is the third derivative of a(c) wrt c?
-30
Let m(q) be the third derivative of -4*q**2 - 13/210*q**7 + 0*q + 0*q**6 + 0 + 0*q**5 + 0*q**3 - 19/24*q**4. What is the second derivative of m(i) wrt i?
-156*i**2
What is the second derivative of -315*t - t**2 + 11 + 13 - 40 + 16 - 13*t**3 wrt t?
-78*t - 2
Let g(p) be the first derivative of -p**5/20 + 5*p**3/6 + 14*p + 6. Let y(x) be the first derivative of g(x). Find the second derivative of y(o) wrt o.
-6*o
Let g(p) be the second derivative of p**6/15 - 61*p**5/20 - 61*p**4/12 + 92*p. What is the third derivative of g(v) wrt v?
48*v - 366
Let x = -123 + 134. Let h be ((-2)/(-2) - 1) + 2. Find the second derivative of x + h*i - 11 - 4*i**2 wrt i.
-8
Let q(o) = 293*o**2 + 374*o + 5. Let h(u) = 587*u**2 + 742*u + 11. Let p(m) = 5*h(m) - 11*q(m). What is the second derivative of p(v) wrt v?
-576
Let u(h) be the second derivative of -15*h**3 + 3*h**2/2 - 87*h. Find the first derivative of u(t) wrt t.
-90
Differentiate 66*y**3 + 36 + 46*y**3 - 139 with respect to y.
336*y**2
Suppose -11 - 7 = -3*n. Let u = -68 + 75. Differentiate -o + n + 9*o - u*o with respect to o.
1
What is the first derivative of -123 - 5*w**4 - 5*w - 7*w**4 - 252 + 3*w**4 wrt w?
-36*w**3 - 5
Let f(n) be the third derivative of 23*n**7/840 - n**4/12 - 31*n**3/6 + 38*n**2. Let t(h) be the first derivative of f(h). Differentiate t(b) wrt b.
69*b**2
Let q(s) = -s**2 + 12*s - 10. Let h be q(10). Let v = h - 6. Find the third derivative of v*x - 4*x + 0*x**3 + 6*x**2 - 2*x**3 wrt x.
-12
Let p = -6 + 8. What is the derivative of 2 + p - 23*w**3 + 7*w**3 wrt w?
-48*w**2
Let h(l) be the third derivative of -17*l**8/336 - 2*l**7/105 + 3*l**4/8 + 4*l**2 + 13*l. What is the second derivative of h(s) wrt s?
-340*s**3 - 48*s**2
Let q(k) = -1. Let h = -31 + 26. Let v = -2 - h. Let f(u) = u**3 + 6*u**2 + 3. Let y(z) = v*q(z) + f(z). What is the third derivative of y(s) wrt s?
6
Let w(o) be the first derivative of -87*o**4/4 + 97*o**3/3 - 114. Find the third derivative of w(d) wrt d.
-522
Differentiate -38*k - 11 + 70*k - 4*k wrt k.
28
Differentiate 1324*g + 573*g - 957*g + 935 with respect to g.
940
Suppose -a + 7 = 3. Suppose i - 4*j - 16 = 0, 5*j + 10 = i - a. What is the third derivative of 9*z**6 + i*z**2 + 26*z**2 - 52*z**2 wrt z?
1080*z**3
Let n(i) = 27*i**2 + 81. Let f(h) = -83*h**2 - 242. Let y(a) = 3*f(a) + 8*n(a). What is the derivative of y(j) wrt j?
-66*j
Let y(z) be the first derivative of -3 + 0*z**5 + 11/3*z**6 + 25/2*z**2 + 0*z**3 + 0*z + 0*z**4. What is the second derivative of y(l) wrt l?
440*l**3
Let o(v) = -7 + v - 4*v + 2*v - 3*v. Let c(t) = -8*t - 13. Let g(m) = -4*c(m) + 9*o(m). Find the first derivative of g(k) wrt k.
-4
Let m(p) be the second derivative of 0 + 0*p**3 - 1/2*p**2 - 3/20*p**5 + 32*p + 0*p**4. What is the derivative of m(j) wrt j?
-9*j**2
Let c(b) be the second derivative of -521*b**4/12 + 475*b**3/6 - 2*b - 640. What is the second derivative of c(t) wrt t?
-1042
Let h(z) = -391*z**3 + 3*z**2 + 470*z - 18. Let f(a) = 392*a**3 - 4*a**2 - 470*a + 24. Let b(n) = -3*f(n) - 4*h(n). What is the second derivative of b(w) wrt w?
2328*w
Let d = 5 + 0. Suppose 0 = d*w - 63 + 18. What is the derivative of -1 + w*q - 18*q + 5 + 7*q wrt q?
-2
Let q = 99 + -83. What is the third derivative of 38*p**2 - 6*p**4 - q*p**2 - 5*p**4 - 9*p**4 wrt p?
-480*p
Let z(l) be the second derivative of 0 + 0*l**2 + 0*l**6 + 0*l**5 + 0*l**3 - 43/12*l**4 - 31*l - 11/14*l**7. Find the third derivative of z(a) wrt a.
-1980*a**2
Let l = -4 + 11. Let p = -4 + l. Find the third derivative of a**2 + a**2 - p*a**5 + a**2 wrt a.
-180*a**2
Find the third derivative of 15*o**2 - 16*o**2 - 3*o - 47*o**3 + 0*o - 2*o wrt o.
-282
Let r(d) = -d**3 + 8*d**2 - 2*d - 58. Let s be r(6). Let f = -3 + 7. What is the third derivative of 2*v**2 + f*v**2 + 3*v**s - 5*v**3 + 10*v**3 wrt v?
30
Find the second derivative of -115*k**2 + 24*k - 465*k**2 + 209*k wrt k.
-1160
Let q(h) = -129*h**3 - 68*h**2 + 3*h. Let f(u) = -131*u**3 - 69*u**2 + 2*u. Let n(a) = -3*f(a) + 2*q(a). Find the third derivative of n(z) wrt z.
810
Let m(h) be the second derivative of 0 + 53/2*h**2 + 13/12*h**4 + 0*h**3 + 35*h. Differentiate m(u) wrt u.
26*u
Let l(a) = 3*a + 10. Let z be l(-4). Let h be (z - (-15)/9)*-18. Find the third derivative of 7*y**2 + 1 + 3 - 4 - h*y**4 wrt y.
-144*y
Let a(z) = -1387*z**2 + 100*z + 26. Let f(c) = 462*c**2 - 34*c - 10. Let p(t) = 3*a(t) + 8*f(t). What is the second derivative of p(u) wrt u?
-930
Let v(x) = 2*x**2 + 3*x + 2. Let n be v(-2). Let q be (57/38)/(((-15)/8)/(-5)). Find the third derivative of 4*u**2 - n*u**4 + 3*u**q + 12*u**5 + u**4 wrt u.
720*u**2
What is the second derivative of 3 - 260*t**4 + 40*t**4 + 213*t - 94*t wrt t?
-2640*t**2
Let g(k) = -4*k + 7*k - 5*k. Let a be g(-1). Find the first derivative of 2*b**a - b + 26 - 31 + b wrt b.
4*b
Find the third derivative of -12441*l - 312*l**6 - 307*l**6 - 8*l**2 + 12454*l wrt l.
-74280*l**3
Let i = -27 - -24. Let x(n) = 4*n**2 + 117*n + 8. Let v(k) = -k**2 - 39*k - 3. Let p(u) = i*x(u) - 8*v(u). Find the second derivative of p(a) wrt a.
-8
Let a(p) be the first derivative of 0*p**5 + 0*p**4 + 10 + 0*p**6 + 0*p**2 + 17/3*p**3 + 2/7*p**7 + 0*p. Find the third derivative of a(n) wrt n.
240*n**3
Let l(t) be the third derivative of t**8/56 + 4*t**4 - t**2. What is the second derivative of l(f) wrt f?
120*f**3
Let a(h) = -155*h**3 - 10*h**2 + 3*h - 1. Let l(m) = -m**3 - 2*m**2 + m. Let d(j) = -a(j) + 5*l(j). Find the second derivative of d(z) wrt z.
900*z
Let s be 4/(-24) + 10/60. Let c(k) be the first derivative of 5/2*k**2 + 3 + s*k - 7/3*k**3. What is the second derivative of c(j) wrt j?
-14
Let q(x) be the second derivative of -1/2*x**7 + 0*x**5 + 0*x**3 + 0 + 19/12*x**4 + 0*x**2 + 32*x + 0*x**6. Find the third derivative of q(j) wrt j.
-1260*j**2
Let f(n) = -192*n**3 + 396*n. Let c(x) = -x. Let q(t) = 24*c(t) - f(t). What is the second derivative of q(w) wrt w?
1152*w
Let u(t) = -t**2 + 1. Let v(b) = 132*b**2 + 44*b - 2. Let w(m) = -3*u(m) - v(m). What is the second derivative of w(g) wrt g?
-258
Let q(z) be the third derivative of 0*z**5 + 1/15*z**7 + 0*z**6 + 20*z**2 + 0*z**4 + 7/3*z**3 + 0 + 0*z. Differentiate q(u) wrt u.
56*u**3
Suppose -19*o + 6*o = -6*o. Let h(y) be the first derivative of 6 + 8/3*y**3 + 0*y**2 - 4/5*y**5 + o*y**4 + 0*y. What is the third derivative of h(q) wrt q?
-96*q
Let k be (-10)/15 - 21/(-18). Let y(z) be the first derivative of 0*z**2 - k*z**4 + 5 + 5/3*z**3 + 0*z. What is the third derivative of y(j) wrt j?
-12
Let c(d) = -56*d**2 + 49*d + 7. Suppose 2 = -2*q + 6. Let h(j) = -j**2 + j. Let i(t) = q*c(t) - 98*h(t). What is the first derivative of i(o) wrt o?
-28*o
Let q be 1/((-8)/28)*-2. Suppose q*g - 8*g = -3. Find the second derivative of -z**3 - 5*z - 5 + 5 + 6*z**g wrt z.
30*z
Differentiate -22*v**2 - v**2 + 78 - 29 - 33*v**2 + 2*v**3 with respect to v.
6*v**2 - 112*v
Let w(h) be the first derivative of 17*h**4/24 + 11*h**3/6 + 15*h**2/2 - 20. Let c(i) be the second derivative of w(i). Differentiate c(n) wrt n.
17
Let b(l) be the first derivative of 45*l**7/7 + l**6/2 - 60*l**3 + 208. Find the third derivative of b(c) wrt c.
5400*c**3 + 180*c**2
Find the second derivative of -117 + 579*v**2 + 664*v + 238 - 121 wrt v.
1158
Let m(i) be the first derivative of 0*i**3 + 12 + 0*i + 13/2*i**2 - 9/2*i**4. Find the second derivative of m(s) wrt s.
-10 | {
"pile_set_name": "DM Mathematics"
} |
2890.
15
What is the greatest common factor of 11424 and 62118?
714
Calculate the greatest common factor of 13639 and 7709.
593
Calculate the highest common factor of 2159 and 578.
17
What is the greatest common divisor of 19224 and 432?
216
What is the highest common factor of 152172 and 108?
108
Calculate the highest common divisor of 165744 and 288.
144
What is the highest common factor of 355128 and 2?
2
Calculate the highest common factor of 221 and 138164.
13
What is the highest common factor of 25584 and 1296?
48
What is the greatest common factor of 78 and 367809?
39
What is the highest common divisor of 1632 and 14926?
34
What is the greatest common factor of 40083 and 343938?
1293
Calculate the highest common factor of 718 and 10.
2
What is the greatest common factor of 1875164 and 571?
571
What is the highest common factor of 93 and 7257255?
93
What is the highest common factor of 773122 and 1288?
322
What is the highest common divisor of 265 and 16218?
53
What is the greatest common factor of 2 and 160694?
2
What is the greatest common factor of 4968 and 113528?
184
Calculate the highest common factor of 6519 and 615.
123
What is the greatest common divisor of 316 and 904313?
79
What is the greatest common divisor of 215 and 452016?
43
What is the greatest common divisor of 85 and 667505?
85
Calculate the highest common factor of 1696 and 71338.
106
Calculate the highest common factor of 27092 and 104.
52
What is the greatest common factor of 224 and 250?
2
What is the greatest common factor of 32 and 282544?
16
What is the highest common factor of 45950 and 250?
50
What is the highest common factor of 269 and 64?
1
Calculate the greatest common divisor of 8 and 354964.
4
What is the greatest common divisor of 86483 and 1379?
197
What is the greatest common divisor of 6120 and 7004?
68
Calculate the highest common factor of 73963 and 74.
37
Calculate the highest common factor of 1095513 and 69.
69
Calculate the greatest common divisor of 90 and 1359.
9
Calculate the highest common factor of 12 and 122322.
6
What is the greatest common factor of 99136 and 48?
16
What is the greatest common divisor of 2316 and 177753?
579
What is the greatest common factor of 600264 and 1191?
1191
What is the greatest common divisor of 336893 and 261?
29
Calculate the greatest common divisor of 7098 and 210.
42
Calculate the greatest common factor of 1710 and 221985.
45
What is the greatest common divisor of 51935 and 442?
221
What is the greatest common factor of 567139 and 332?
83
Calculate the highest common factor of 28881 and 486.
9
What is the highest common factor of 50 and 64850?
50
Calculate the highest common divisor of 2089 and 25.
1
Calculate the greatest common divisor of 3035 and 25.
5
Calculate the highest common divisor of 12 and 432492.
12
What is the greatest common factor of 29 and 39005?
29
Calculate the greatest common factor of 5760 and 20.
20
What is the highest common factor of 39920 and 120?
40
Calculate the highest common divisor of 1 and 914803.
1
Calculate the greatest common factor of 536 and 17554.
134
What is the highest common divisor of 2009 and 5125?
41
What is the greatest common factor of 31120 and 24?
8
What is the highest common divisor of 444 and 481185?
111
Calculate the greatest common divisor of 1273 and 1742.
67
What is the greatest common divisor of 7990 and 19270?
470
What is the greatest common divisor of 6006 and 14322?
462
What is the highest common divisor of 1981999 and 172?
43
What is the highest common factor of 36289 and 55?
11
Calculate the highest common divisor of 4256 and 83657.
133
What is the highest common divisor of 462 and 51414?
66
What is the greatest common divisor of 102 and 37491?
3
Calculate the greatest common divisor of 5301 and 87552.
171
What is the greatest common divisor of 1729472 and 16?
16
Calculate the greatest common divisor of 165 and 15312.
33
Calculate the greatest common factor of 1887 and 548488.
629
What is the highest common factor of 21274174 and 1598?
1598
Calculate the highest common factor of 879747 and 12072.
1509
Calculate the highest common divisor of 784384 and 256.
256
Calculate the greatest common divisor of 94 and 185039.
47
What is the highest common divisor of 9836232 and 42?
42
What is the greatest common factor of 81821 and 102?
17
What is the greatest common factor of 21 and 6279?
21
What is the greatest common divisor of 120376 and 410?
82
What is the greatest common factor of 37177 and 18095?
329
What is the highest common divisor of 383300 and 25?
25
What is the greatest common factor of 21994 and 21?
7
Calculate the greatest common divisor of 147950 and 22.
22
What is the greatest common factor of 121257 and 423?
9
What is the greatest common divisor of 147100 and 100?
100
What is the highest common divisor of 998 and 1625742?
998
What is the greatest common factor of 48 and 13032?
24
What is the highest common factor of 7960 and 40?
40
What is the greatest common factor of 4450 and 1350?
50
What is the greatest common factor of 933560 and 40?
40
Calculate the highest common divisor of 808 and 766.
2
What is the highest common divisor of 8481624 and 24?
24
What is the greatest common factor of 1080 and 2213136?
216
What is the highest common factor of 282 and 8037?
141
What is the highest common divisor of 570624 and 1536?
768
Calculate the highest common divisor of 140 and 821772.
28
Calculate the greatest common divisor of 1377 and 544833.
459
Calculate the highest common factor of 403512 and 6072.
552
Calculate the highest common divisor of 2442 and 27841242.
2442
What is the highest common factor of 120 and 2430?
30
Calculate the greatest common factor of 62 and 483817.
31
What is the highest common factor of 2295 and 21675?
255
What is the highest common divisor of 162 and 824526?
54
What is the highest common divisor of 4388509 and 1388?
347
Calculate the greatest common divisor of 112 and 9656976.
112
Calculate the greatest common factor of 90 and 1230.
30
What is the highest common divisor of 1312 and 4576?
32
What is the highest common divisor of 60 and 245085?
15
What is the highest common factor of 1358 and 8386?
14
Calculate the greatest common factor of 2961 and 3807.
423
What is the highest common divisor of 23296 and 1053?
13
What is the highest common factor of 330 and 1920?
30
Calculate the highest common divisor of 9520 and 896.
112
What is the greatest common factor of 3330 and 66970?
370
What is the greatest common factor of 180 and 31824?
36
What is the greatest common divisor of 7 and 19019?
7
Calculate the highest common factor of 100 and 175650.
50
What is the greatest common divisor of 6426 and 141066?
306
What is the highest common divisor of 201 and 3436899?
201
What is the greatest common divisor of 1028852 and 10318?
1474
What is the greatest common factor of 2466 and 1746?
18
Calculate the greatest common divisor of 135 and 48447.
9
Calculate the greatest common factor of 6251 and 76.
19
What is the highest common factor of 14 and 2208619?
7
What is the highest common factor of 45 and 3040?
5
Calculate the highest common divisor of 78105 and 127.
127
Calculate the highest common factor of 10658 and 56940.
146
What is the highest common divisor of 4 and 89660?
4
What is the highest common divisor of 5720 and 5995?
55
What is the highest common factor of 243 and 39528?
81
What is the greatest common divisor of 65650 and 143420?
1010
What is the highest common divisor of 60016 and 35123?
341
Calculate the highest common divisor of 2762820 and 135.
45
What is the highest common factor of 32662 and 28?
14
Calculate the highest common factor of 700898 and 22.
22
What is the highest common divisor of 20559 and 33?
33
Calculate the highest common factor of 908336 and 132.
44
Calculate the greatest common divisor of 493 and 44341.
29
Calculate the highest common factor of 1305 and 3939795.
1305
What is the highest common divisor of 25235 and 34505?
515
What is the highest common factor of 39504 and 57?
3
What is the greatest common factor of 856416 and 12?
12
What is the highest common factor of 2295 and 305575?
85
Calculate the highest common divisor of 58093 and 91.
7
What is the highest common divisor of 90 and 108495 | {
"pile_set_name": "DM Mathematics"
} |
v**2 + r and give d.
0
Rearrange -27*r + 5*r - 2*r to the form h + w*r and give w.
-24
Rearrange -2*c + 3*c - 4*c + (3 - 3 + 2*c)*(1 - 6 + 1) + 0 + 0 - 3*c to m*c + l and give l.
0
Rearrange 13*f + 30*f + 40*f to the form l + x*f and give x.
83
Express 2 + b**3 + b**2 - b**4 - 4*b + 4*b as c*b**3 + s + x*b + z*b**2 + u*b**4 and give u.
-1
Express -40*h**2 + 19*h**2 + 20*h**2 - 7 as q + o*h + r*h**2 and give q.
-7
Rearrange -y**2 - 2*y + 0*y + 4*y + 2*y**4 + y + 2*y**3 to i*y + b*y**4 + p*y**3 + f + n*y**2 and give n.
-1
Express (5 - 4 - 3)*(-3*v - 5*v**2 + 3*v) + 9*v**2 - 175 + 175 in the form z*v + q*v**2 + u and give q.
19
Express -25 - 4*v + 6 + 7 + 4 in the form g*v + u and give u.
-8
Express 2*b**3 - 3*b**3 - 4*b**3 + 6*b**3 + 20*b**2 - 2*b in the form o + t*b**2 + m*b + i*b**3 and give i.
1
Rearrange (4 + 0 - 2 + (4 - 4 + 2)*(1 + 0 + 1))*(68*z - 68*z - 9*z**2) to n*z**2 + h + m*z and give n.
-54
Express 6 + 11 - 9*c**2 - 17 in the form l*c**2 + d + z*c and give z.
0
Rearrange 12 + d**4 - 309*d + 307*d - 5 to the form h*d**2 + r*d + o*d**3 + g*d**4 + x and give g.
1
Rearrange (4*t - 4*t + t**2)*(-52 + 165 - 76)*(t - t + t) to f*t + y*t**2 + l*t**3 + d and give f.
0
Express 13*p**2 - 20*p**2 + 9*p**2 + 23 + 2*p**3 as d*p**2 + o*p + q*p**3 + t and give t.
23
Express (-17*j + 11*j - 22*j)*(-j - j + j) in the form h + q*j + m*j**2 and give h.
0
Rearrange 0 + 39*z**2 - 36*z**2 - 2 to g*z**2 + s + k*z and give g.
3
Express 0 + 23 + 6 - 1 - 2*c**2 in the form x + y*c**2 + v*c and give y.
-2
Rearrange (-22 + 108 + 29)*(b**3 - 2*b**3 + 3*b**3)*(2 - 2*b - 2) to the form t + a*b**2 + j*b**4 + p*b**3 + i*b and give j.
-460
Rearrange (m + 0*m - 4*m)*((-1 + 2 + 0)*(1 - 1 + 2) + (1 - 3 + 10)*(-2 + 1 + 2)) to the form f + c*m and give c.
-30
Express (-4*n + 4*n - 2*n**2)*(-4*n - n + 3*n) - 4*n + n**3 + 4*n + 0 + 67 + 384*n**3 - 67 as g*n + m + y*n**2 + x*n**3 and give x.
389
Rearrange 5*r - 6*r + 3*r to the form d*r + a and give d.
2
Express -4 + 606*v**2 - 5 - 609*v**2 in the form m*v**2 + l*v + t and give m.
-3
Rearrange 2*i + 2*i**2 - 3*i**2 + 2*i**3 + i**3 to the form o*i**2 + x + q*i + b*i**3 and give o.
-1
Express 625*h**3 + h**4 + 2*h + 1 - 625*h**3 in the form u*h**3 + q*h + i*h**4 + g + l*h**2 and give u.
0
Rearrange (q - 4 + 0*q - 4*q)*(-q**3 - 21*q**2 + 21*q**2) + (-q**2 + 4*q**2 - q**2)*(q**2 - q + q) to s*q**4 + n*q**3 + l + c*q**2 + k*q and give s.
5
Express -l**2 + 0*l**2 - l**2 - 3*l - 12 as n + u*l**2 + x*l and give x.
-3
Rearrange (-2*o**2 - 2*o**2 + 9*o**2 + (-2 - o + 2)*(1 - 1 - 3*o))*(-1 + 0 + 2) to q*o**2 + p*o + l and give q.
8
Rearrange -5 + 9 - 4 + 18*c to the form q + p*c and give p.
18
Rearrange -2*x**3 - 19*x**2 - 6*x + 6*x to the form q + s*x + b*x**3 + u*x**2 and give b.
-2
Express 3*q**4 + 2*q**3 + q**4 + 2*q - 4*q + 1 - 3*q**3 as y*q**4 + m + b*q + r*q**3 + w*q**2 and give m.
1
Express 3*i + 7*i - 3*i as p*i + b and give p.
7
Rearrange (0*a + 0*a + 2*a)*(3*a - 3*a + 3*a**3) + 1 - 27*a**2 - a**4 + 27*a**2 to u*a**3 + o + g*a**4 + v*a**2 + w*a and give g.
5
Rearrange 0*o - 11*o - 15*o - 18*o to the form l + i*o and give i.
-44
Rearrange 4*d**2 + 12 + 19 - 4*d**2 - 2*d**2 to the form l*d**2 + u + t*d and give l.
-2
Express y**2 - y**4 - 2 - 200*y + 401*y - 202*y in the form x*y**4 + b + m*y**3 + r*y + t*y**2 and give r.
-1
Express -k**4 + 276*k**2 - 2 - k**3 - 276*k**2 as c*k**3 + t*k**2 + j + u*k**4 + p*k and give j.
-2
Rearrange (50 + 52 - 101 + 24*z)*(-1 + 0*z - 2*z + 3*z) to y + j*z + o*z**2 and give j.
-23
Rearrange (87 - 87 - 6*j)*(-3*j + 5*j + 0*j) to the form k*j + x + p*j**2 and give p.
-12
Rearrange x - x + 4*x**4 + (3*x + 4*x - 4*x)*(-2*x**3 - x**3 + 2*x**3) + 4*x**4 - 5*x**4 - 3*x**4 to the form w*x**4 + n*x + h*x**2 + t*x**3 + r and give w.
-3
Express (-4 + 2 + 14)*(27 - 27 + 2*v)*(1 + 2 - 1) in the form s + p*v and give p.
48
Rearrange ((2 - 2 + z)*(-3*z - 2*z + 4*z) + 2*z**2 + 2*z - 2*z - 53*z + 53*z - 12*z**2)*(1 - 2*z - 1) to the form f + d*z**2 + y*z**3 + v*z and give y.
22
Express 2*l - 5*l - 28*l**2 + 3*l in the form p*l**2 + w*l + f and give p.
-28
Express -17*j + 4*j**2 - 33*j**3 + 15*j - 4*j**2 + j**2 + 1 as o + d*j**2 + g*j**3 + x*j and give g.
-33
Express -9*d - 4 + 4 in the form t*d + i and give t.
-9
Express -2 + 2*g - 2 + 57 + (-2 - 4 + 3)*(-3*g - 2*g + 3*g) as r + o*g and give r.
53
Express 2*n**2 - 14 + 3 + 2*n + 5 - 3*n**3 + 4 as s*n**3 + l*n**2 + x + j*n and give l.
2
Rearrange 12*l**3 + 3 - 5 - 1 - 10*l**3 - 5*l**2 to z + j*l + b*l**3 + q*l**2 and give b.
2
Rearrange (-4*j**2 + 7*j**2 - 2*j**2 + (7*j + j + j)*(4*j - j - 2*j))*(-j + 2*j + j) to the form s*j**2 + n + f*j**3 + y*j and give f.
20
Rearrange -3*s**4 + s**4 - s**3 + s**2 - 4*s**2 + s**2 to the form q + u*s**3 + a*s**4 + m*s**2 + h*s and give m.
-2
Rearrange -9*s + 123 - 124 + 5*s - 18*s to a + n*s and give n.
-22
Express -4 - 2*c**3 - 5 - c + 2 - 4*c**4 + c**2 + 8 in the form r*c**3 + u*c**4 + n*c**2 + f + o*c and give r.
-2
Express -4*t**2 + t**2 - 2*t + 0*t**2 - 4*t**2 in the form a*t + h + z*t**2 and give a.
-2
Rearrange 39*k**2 - 12*k**2 + 3*k**2 - 17*k**2 to the form s + b*k**2 + r*k and give b.
13
Express -4*z**4 + 3*z**4 + 0*z**4 + z**3 + 3*z**4 - 2*z**3 - 4*z**4 + (2 - 13*z**4 - 2)*(0 + 1 - 3) as l*z**3 + w*z + u*z**4 + s*z**2 + f and give u.
24
Rearrange (3*j - 4*j - j)*(2*j + j - 4*j) + 0*j**2 + j**2 + 0*j**2 + (-3*j + 12*j + j)*(0 - 3*j + 0) to the form c*j + l + t*j**2 and give t.
-27
Express (3 - 1 - 4)*(39 - 22 - 17 - 122*m) in the form q + k*m and give k.
244
Rearrange -357*c + 357*c + 2*c**3 - 31 to p*c + j + q*c**2 + k*c**3 and give k.
2
Express -35 - 3*y - 7*y**2 + 6*y + 35 as q*y + t*y**2 + g and give q.
3
Rearrange 2*f**3 + 2*f**2 + 2 + 1 + 2 to the form r*f**2 + k + j*f**3 + o*f and give k.
5
Express (4 + 7 + 0)*(4*w**2 + w**2 - 3*w**2) as x*w + k + y*w**2 and give y.
22
Rearrange (-19 + 3 - 10 + 2*b**2)*(4 + 2 - 4) to the form y*b**2 + g + s*b and give y.
4
Rearrange (0*i**3 + 7*i**3 - i**3)*(-3 - 1 + 3)*(3 + 0 - 4) to the form q*i**3 + x + m*i + f*i**2 and give m.
0
Rearrange (-66 - 7*u + 66)*(u - u + 2*u) + u**2 + 4*u**2 - 4*u**2 to r*u**2 + p + g*u and give p.
0
Rearrange (-4 - 5 + 1)*(-a**4 - 12*a**3 + 20*a**3 - 11*a**3) to the form h*a + r + u*a**2 + v*a**4 + l*a**3 and give v.
8
Express 14*h + h**4 + 11*h + h**4 - 7 - 2*h**2 - 20*h as a*h**2 + b + p*h**4 + r*h + g*h**3 and give a.
-2
Express -g**3 + 3*g**3 - 1 + 5*g**2 - 3*g**2 - g - 2 in the form o*g**3 + f*g + a + q*g**2 and give f.
-1
Rearrange 3*f**2 - 4*f**2 - f**2 + (2*f + 0*f - 4*f)*(-f - 2*f + f) + 18*f**2 - 10*f**2 - 17*f**2 to the form p*f + n + l*f**2 and give n.
0
Rearrange 136 + 3*q**3 - q - 277 + 139 + 0*q**3 to the form h*q**2 + c*q**3 + f + a*q and give f.
-2
Express r - 11 - 4*r + 11 as i + q*r and give q.
-3
Express -s + 0*s - s + 2*s - 4*s + s + (0*s + 3*s - 2*s)*(3 + 1 - 2) - 4*s + 3*s + 3*s + 52 - 51 + 19*s + 21*s in the form j*s + r and give r.
1
Rearrange (-1 - g**2 + 1)*(-1 + 3 - 1) - g**2 - 26*g + 26*g to the form b*g**2 + p + q*g and give b.
-2
Express (0 - 5 + 0)*(3 - 3 + 6)*(0 - 2 + 0)*(-t - t**2 + t) in the form f*t + v + z*t**2 and give z.
-60
Rearrange -1 + m + 0*m**3 + 8*m**3 - 11*m**3 to the form o*m + g*m**3 + p + v*m**2 and give o.
1
Express (4 - 3 + 1)*(1 - 1 + 2*z**2) + (1 + 1 + 0)*(2*z + 2*z - 10*z)*(-6*z - 5*z + 3*z) in the form h + j*z + x*z**2 and give x.
100
Rearrange (-1 - 3 + 5)*(2*c**3 + c**3 - c**3) - 16*c**3 + 33*c**3 + 28*c**3 to the form i + a*c + o*c**3 + r*c**2 and give o.
47
Rearrange 14*q**4 + q**3 - 2*q**2 + 0*q**4 - 16*q**4 to o*q**2 + i*q**4 + f*q**3 + k*q + m and give o.
-2
Rearrange 43*q + 16*q + 24*q - 3*q to the form o + j*q and give j.
80
Rearrange 3 - 7*j + 8*j + 0*j to k + x*j and give x.
1
Rearrange -p - p - 10 - 7 + 6 to v + u*p and give u.
-2
Rearrange g + 0*g + g + (0*g + g + g)*(-25 - 9 + 1) to the form j + h*g and give h.
-64
Rearrange 1 - 1 - r**2 - 3*r**3 + 205*r - 204*r to x*r**3 + z + o*r**2 + k*r and give o.
-1
Express (-256 - 167*l**3 + 256)*(-1 + 0 - 2) as p*l**2 + c + i*l**3 + f*l and give i.
501
Express 0*o**3 + 10*o**2 + 1 - 30*o**2 - o**3 in the form d + j*o**2 + y*o**3 + z*o and give y.
-1
Rearrange (0*o - o + 2*o)*(3 + o - 3) + 28*o**2 + 13*o**2 - 2*o**2 + (-2 + 2 + 2*o) | {
"pile_set_name": "DM Mathematics"
} |
he third derivative of -549*x**4 - 26394*x**2 - 563*x**4 + 26775*x**2 wrt x?
-26688*x
Let t be 132/2*-1 + 2. Let c = t + 66. Find the third derivative of -17*p**4 + 11*p**2 - 4*p**c + 13*p**2 wrt p.
-408*p
Let q be (-6 - ((1 - 7) + -18))/4. Let x(o) be the second derivative of 3*o**3 + 0 - q*o**2 + 5*o. Differentiate x(c) with respect to c.
18
Let v(r) be the third derivative of -265*r**4/6 - 739*r**3/3 + 5*r**2 - 5*r. Differentiate v(w) wrt w.
-1060
Let z = 566 - 266. Differentiate -4*o**4 - z*o + 19 + 304*o + 2*o**4 with respect to o.
-8*o**3 + 4
Suppose -26*p + 54 + 24 = 0. Find the second derivative of -50*f**4 + 15*f**p + 5*f + 11*f**3 + 1 + 20*f**4 + 26*f**4 wrt f.
-48*f**2 + 156*f
Let w(s) = -s**3 - 2*s**2 - 2*s + 1. Let v be w(-2). Find the second derivative of -v*l + 60*l**2 + 1 - 13*l + 9*l**2 wrt l.
138
Let t(j) be the third derivative of -2*j + 0 - 1/24*j**4 + 0*j**5 - 5/6*j**6 + 43/2*j**3 - 52*j**2. What is the second derivative of t(k) wrt k?
-600*k
Let d = -27 + 34. Let x be 1 - (0 - (1 + 1)). What is the second derivative of -d*r**4 - r**4 + x*r + 13*r - r wrt r?
-96*r**2
Let o(z) be the second derivative of 29*z**5/10 + 7*z**4/12 + z**3/3 - 3087*z**2/2 + 6117*z. What is the derivative of o(x) wrt x?
174*x**2 + 14*x + 2
Let g(c) be the second derivative of -497*c**5/20 + 4243*c**2/2 - 2*c - 666. Differentiate g(i) with respect to i.
-1491*i**2
Differentiate 761 + 963 - 2*b + 0*b + 151*b**2 - b**3 + 2905 + 231 with respect to b.
-3*b**2 + 302*b - 2
Let d(l) = -4*l**2 - 9. Suppose 73 = 2*p - 29. Suppose -p = -12*c + 15*c. Let b(z) = z**2 + 3. Let n(y) = c*b(y) - 6*d(y). Differentiate n(t) wrt t.
14*t
Let l(i) = -4*i**4 + 777*i**3 - 3*i**2 - 3*i - 2025. Let k(g) = 3*g**4 - 778*g**3 + 2*g**2 + 2*g + 2023. Let r(a) = 3*k(a) + 2*l(a). Differentiate r(b) wrt b.
4*b**3 - 2340*b**2
Let b(i) be the second derivative of 49*i**6/3 + 554*i**2 - 2216*i. What is the derivative of b(l) wrt l?
1960*l**3
Let q be (-28)/(-8)*(-18)/(-21). Let b(z) be the second derivative of -2*z**q - 14*z - 4/3*z**4 + 0*z**2 + 0. What is the second derivative of b(t) wrt t?
-32
Let v(q) be the first derivative of -12256*q**3/3 - 5148*q - 3071. Differentiate v(d) wrt d.
-24512*d
Let d(w) be the first derivative of 5512*w**7/7 + 7*w**3 + 31*w - 2206. What is the third derivative of d(x) wrt x?
661440*x**3
Let m(l) be the third derivative of l - 25*l**3 + l**2 + 0 - 155/24*l**4. What is the first derivative of m(w) wrt w?
-155
Let n(u) = 37*u + 25. Let t(d) = -12*d - 8. Let s = -18 + 14. Let w = s + 15. Let j(i) = w*t(i) + 4*n(i). Find the first derivative of j(z) wrt z.
16
Let m be (-1)/(-2) + 7105/58. What is the first derivative of -46*r - 101 + 203*r - m - 2 wrt r?
157
Let a(h) be the third derivative of 2893*h**7/105 - 3541*h**3/6 + 22*h**2 + 2*h - 75. What is the first derivative of a(m) wrt m?
23144*m**3
Suppose 4 = 21*k - 23*k, 5*n - 405 = -5*k. What is the third derivative of 96*h**2 + 188*h**4 + 117*h**3 + 2 + 16*h**4 - 117*h**3 + n*h**4 wrt h?
6888*h
Suppose 14 = 2*x - x. Suppose 30*l - 26*l = 8. Differentiate 10*k**l - 15 - x + 33 + 9*k**2 wrt k.
38*k
Let k be (9/(3 - 2))/(8/(-8)). Let n be (-5*3)/(k/6). What is the third derivative of 26*m**3 + 8*m**3 + 9*m**3 - n*m**2 - 13*m**3 wrt m?
180
Let w(f) be the first derivative of 0*f**2 + 0*f**3 + 180 + 37*f + 0*f**4 + 49/5*f**5. What is the derivative of w(k) wrt k?
196*k**3
Let p(t) be the second derivative of 1617*t**5/10 + 1068*t**2 + t + 196. Differentiate p(q) wrt q.
9702*q**2
Suppose 0 = -3*m - 165 + 171. Find the third derivative of 12*l**5 + 408*l**m - 329*l**2 - 2*l**4 - 4*l**4 - 6*l**5 wrt l.
360*l**2 - 144*l
Let i(r) = 8*r - 36. Let u be i(4). Let q be 9/(-4)*u - -3. What is the derivative of 30*g**3 - 27 + q + 9 wrt g?
90*g**2
Let i(h) = -h**4 + h**3 + h**2 - h - 2. Let a(w) = -25*w**4 + 7*w**3 + 9*w**2 - 46*w + 29. Let r(o) = a(o) - 6*i(o). Find the second derivative of r(u) wrt u.
-228*u**2 + 6*u + 6
Let w(o) be the second derivative of 18*o**7/7 - 30*o**4 + 946*o. What is the third derivative of w(k) wrt k?
6480*k**2
Let s(i) be the second derivative of -29/30*i**6 + 0*i**3 - 8*i + 1/10*i**5 + 43*i**2 - 4 - 1/6*i**4. Find the third derivative of s(a) wrt a.
-696*a + 12
Let b(k) be the second derivative of 5*k**7/42 + 181*k**6/30 - k**5/10 - 31*k**3 - 3*k**2/2 + 4930*k - 2. What is the second derivative of b(p) wrt p?
100*p**3 + 2172*p**2 - 12*p
Let g(k) be the third derivative of -23/4*k**4 + 0*k + 2 + 114*k**2 + 16*k**3. Find the first derivative of g(x) wrt x.
-138
Let i(t) = -1. Let c(w) be the second derivative of -4*w + 5*w**2 - 11/6*w**3 + 0. Let l(n) = c(n) - 6*i(n). Find the first derivative of l(r) wrt r.
-11
Find the third derivative of -7*d**2 - 2*d**2 + 581 + 8*d**2 - 418*d**5 - 732 wrt d.
-25080*d**2
Let x(y) = -259*y**2 - 32*y + 100. Let n(p) = 85*p**2 + 10*p - 33. Let b(j) = -19*n(j) - 6*x(j). Find the second derivative of b(f) wrt f.
-122
Let y(j) be the first derivative of -111*j**5 + 2074*j + 521. Differentiate y(t) with respect to t.
-2220*t**3
Let v(b) be the second derivative of -68*b**2 - 10*b + 52 + 26*b - 4*b**3 - 17*b. Differentiate v(m) with respect to m.
-24
Suppose 11 = m - 0. Let h be 8 - (-7 + -1)/(-2)*1. Find the second derivative of -11*c - 7*c**h + m*c**4 + 10*c + 7*c**4 wrt c.
132*c**2
Let v(w) = 20*w**3 + 5*w**2 - 23. Let j(f) be the first derivative of 3*f**4/4 + f - 93. Let m(b) = 5*j(b) - v(b). Differentiate m(c) with respect to c.
-15*c**2 - 10*c
What is the second derivative of -29 + 3453*u**2 - 276*u**2 + 1681*u**2 + 5 - 5*u wrt u?
9716
Find the first derivative of 84*m - 1057 - 52*m + 134*m + 5*m wrt m.
171
Let a be 12492284/105 - (-2)/(-15). Find the third derivative of 44*r**2 + 184*r**3 + 1 - a*r + 118974*r wrt r.
1104
Suppose -18*j - 24 = -26*j. Let v(t) = 2*t**2 + 2*t + 1. Let q(b) = 93*b**2 + 17*b + 10. Let l(s) = j*v(s) - q(s). Find the second derivative of l(x) wrt x.
-174
What is the third derivative of 2*b**4 - 251*b**2 - 124*b**2 - 2244 + 2243 - 246*b**6 wrt b?
-29520*b**3 + 48*b
Let k(l) be the third derivative of -3*l**2 + 7/24*l**4 + 0*l**3 + 1/15*l**5 + 29/60*l**6 - 20*l + 0. What is the third derivative of k(v) wrt v?
348
Differentiate 18*p**3 - 3280 + 94*p**2 - 1674 - p - p**3 - 19*p**3 with respect to p.
-6*p**2 + 188*p - 1
Let p be (-6)/(-24)*16 - (-2)/(-2). Find the third derivative of 3*k**2 - 2*k**2 + 12*k**p - 12*k - 24*k**3 wrt k.
-72
Let y = -2151 - -2151. Let x(g) be the second derivative of y*g**2 + 4/5*g**5 + 0*g**3 + 0 + 20*g + 1/12*g**4. Find the third derivative of x(n) wrt n.
96
Suppose k = -2*q + 5, 0 = 3*k - 2*q - 18 + 11. What is the third derivative of -27*s**2 + 2688*s - 2688*s + 55*s**3 - 312*s**k - 12*s**2 wrt s?
-1542
Let g(j) = j - 7. Let l be g(7). Suppose 0 = -7*k - l*k + 28. What is the second derivative of 0*q**2 - q**2 + 7*q**2 - 7*q - k*q wrt q?
12
Let i = -72 + 76. Suppose 2*j + i = 4*j. What is the third derivative of -4*w**2 - 2*w**5 - 6*w**2 + j*w**5 + 3*w**5 wrt w?
180*w**2
Differentiate -237 - 12*p + 10*p - 8*p + 2*p - 9*p with respect to p.
-17
What is the derivative of -6084*l**2 - 5*l - 805 - 5*l + 7439*l**2 + 8*l wrt l?
2710*l - 2
Let v = -91 + 139. What is the second derivative of v*h**4 - 28 + 53*h**4 - 83*h**4 - h - 4*h**3 wrt h?
216*h**2 - 24*h
Let i(c) = -3*c + 13. Let k be i(12). Let j = -21 - k. What is the second derivative of 24*u**3 + j*u - 17*u - 52*u**3 wrt u?
-168*u
Differentiate 103 - d + 27 + 139*d**3 - 5 - 84*d**3 + 99*d**3 with respect to d.
462*d**2 - 1
Suppose -5*x + 5*c + 40 = 0, 3*c + 40 = -14*x + 19*x. What is the first derivative of -5*p + 5*p + 90 - 12*p + 2*p + x*p**2 wrt p?
16*p - 10
Let m(q) be the first derivative of -12 + 0*q - 292/3*q**3 + 0*q**2 + 0*q**4 - 302/5*q**5. Find the third derivative of m(o) wrt o.
-7248*o
Let b(i) be the third derivative of -247*i**6/40 - i**5/30 + 43*i**3/6 + 842*i**2. What is the third derivative of b(a) wrt a?
-4446
Let l be (2*-1)/(-1*(-2)/(-84)). Suppose -l + 88 = x. What is the second derivative of 14*c - 2173*c**x + 2177*c**4 + 3*c wrt c?
48*c**2
Let b(g) = -2*g - 3. Let x be (-1 + -2 + -3)*1. Let m(t) = -5*t + 5*t - 2*t - 3 + t. Let o(c) = x*m(c) + 5*b(c). What is the derivative of o(z) wrt z?
-4
Find the second derivative o | {
"pile_set_name": "DM Mathematics"
} |
s = l + n. Which is the third biggest value? (a) -1 (b) s (c) -2
c
Let h be (-21)/((-14)/(-4) - 2). What is the smallest value in h, -5, -1, -2?
h
Let m be (-12)/9*-3 + -2. Suppose -o = -t, -t = -5*o + m + 18. Let p = -902/9 + 100. Which is the second biggest value? (a) p (b) o (c) -0.2
c
Let j = 1 - 1.2. Let z = 0.05 + -0.15. Let h = z - 1.9. What is the third smallest value in 0.5, h, j?
0.5
Suppose -20*m + 17*m = 3. Which is the second biggest value? (a) -0.5 (b) m (c) 2
a
Let x be (-140)/(-63)*12/(-32). What is the third biggest value in 0.5, x, 3/7, -5?
x
Suppose -17*l + 15 = -12*l. Which is the smallest value? (a) 1 (b) l (c) -0.5 (d) 3/5
c
Suppose 0 = -2*f + 5*f - 3. Suppose f = -x + 2. Let v be ((-2)/(-4))/((-9)/(-6)). What is the second biggest value in x, 0.1, v?
v
Let q(r) = r**2 - 3*r + 4. Let v be q(4). Let d be 3 - ((-60)/v)/(-3). Let h = -0.6 - -0.1. Which is the biggest value? (a) 0.1 (b) d (c) h
b
Let o = 142 + -857/6. Let u(r) = -r + 4. Let i be u(8). Which is the biggest value? (a) 3 (b) o (c) i
a
Let z = 4.88 - 4.3. Let h = -0.08 + z. What is the third smallest value in -0.3, 0.1, h?
h
Let h = -1.7 + -5.3. Let y = -6.7 - h. Let i = -4.7 - y. What is the second biggest value in 0.3, -3, i?
-3
Let s = -13 + 18. Let g = 5 + 0. Let d = g + -5.3. What is the second biggest value in d, s, -3/4?
d
Let f = -1.9 - -0.9. What is the third biggest value in f, -0.3, -1/2?
f
Let w = 51 + -46. Let v be ((-24)/75)/(4/10). Which is the third biggest value? (a) w (b) v (c) 0.3
b
Let g = -3 - -2.5. Let o = g + -1.5. Let d = 0.25 + -0.45. Which is the smallest value? (a) d (b) o (c) 0.1
b
Let s = 3.3 + -1.3. Which is the third biggest value? (a) -17 (b) 1 (c) s
a
Suppose -4*c = 5*p + 18 + 14, 2*c = -p - 10. What is the third biggest value in p, 4, -1?
p
Let k = 6 + -4. Suppose r + 6 = h, k*h - 22 = 4*r - 0*h. Which is the second biggest value? (a) 5 (b) -2/17 (c) r
b
Suppose -4 - 4 = 4*d. Let p be 145/(-45) + d/(-9). What is the smallest value in 0.4, p, -0.2?
p
Let n be (1/(-5))/((-8)/(-10)). Let t be 27/(-2) + (-2)/(-4). Let f be (3/(-2))/(t + 1). What is the second smallest value in f, -1/5, n?
-1/5
Suppose -5*m - 4 = -3*m. Let n be -7*(-3)/15 - 1. What is the third biggest value in -0.4, m, n?
m
Suppose -4*z + 20 = -0. Suppose -4*h - 1 - 9 = 2*j, -15 = -2*h - z*j. Suppose -17 + 7 = -2*s. Which is the second biggest value? (a) s (b) 4/3 (c) h
b
Let x = -1.5 + 2. Let n = 34167/13 - 2627. Let a = -150/143 + n. What is the second biggest value in a, x, 0.3?
0.3
Let l = -8 + 37/4. Which is the second smallest value? (a) -0.1 (b) -5/4 (c) -4 (d) l
b
Let m = -22 + 10. Let r = m + 11.3. Let h = r + 0.2. Which is the third biggest value? (a) -0.2 (b) -3 (c) h
b
Let i be (10/(-6))/(8/(-24)). Suppose 10 = -i*c + 3*n, 0 = -n - 4*n. What is the smallest value in 3, 2/9, c?
c
Let r = 1.4 - 1.8. Which is the biggest value? (a) -5 (b) r (c) 1
c
Let d(c) = c**3 + 3*c**2 + 2*c + 7. Let p be d(-3). What is the third smallest value in 2, p, -0.2, -3?
p
Let d = 3.8 - 0.8. Let q = -1376/13 + 106. What is the second smallest value in d, -2, q?
q
Let q(f) = -f**2 - 1. Let k be q(-2). Let p = 0.16 - -0.14. Let x = p - 0.7. Which is the smallest value? (a) k (b) x (c) -4
a
Let h = -0.7 - -0.3. Let l = 0.5 + h. Which is the second smallest value? (a) l (b) 2 (c) 2/5
c
Let d = 18/11 - 43/33. Let a = -6 + 5. What is the third biggest value in a, d, 3?
a
Let x = -17 - -22. Suppose 3*l + 28 = -x*f + 1, -4*l - 13 = -f. What is the third smallest value in 0.2, f, 0?
0.2
Let s = 93 - 94.7. What is the smallest value in 0.5, -0.3, s?
s
Let k be (1/(-3*1))/((-7)/(-63)). What is the second smallest value in 2/17, k, 2, 4?
2/17
Let k = -31.2 - -31. Which is the smallest value? (a) 0.4 (b) k (c) 2
b
Let d = -305/66 - -60/11. What is the second smallest value in -1, -0.1, d?
-0.1
Let t be 8 + (-6)/(-12)*-12. Which is the third smallest value? (a) 1/6 (b) t (c) 0.2
b
Let c = 5 - 10. Let a = c - -4. What is the smallest value in a, 0.4, -4?
-4
Let r = -724/7 + 103. Which is the second biggest value? (a) r (b) -2/25 (c) -0.2 (d) -4
c
Let p = 12.72 + 0.28. Let j = 10 - p. Which is the smallest value? (a) j (b) -2 (c) -0.5
a
Let f = 5.7 - -0.3. Let u = f - 6.2. What is the third biggest value in -1, 5, u?
-1
Let m = -118/7 + 17. Let o = 6 + -4. What is the smallest value in -0.4, o, m?
-0.4
Let z = 90 + -93. Which is the biggest value? (a) 0 (b) z (c) -5
a
Let k = 129 + -133. What is the fourth smallest value in -1/6, -0.3, 2/9, k?
2/9
Let h = -1.8 - -2. Let g = 0 - -1/3. Let d be (-4)/22 - 32/(-660). Which is the second smallest value? (a) d (b) g (c) h
c
Let i = -1.83 - 0.17. Let p = 0.6 - 0.1. Let v = -0.8 + p. Which is the third biggest value? (a) v (b) i (c) -1/3
b
Let m be 3 + 0 + (-35)/15. Which is the second smallest value? (a) m (b) 1/5 (c) 0.02
b
Let p = 7 - 3. Let r be 10/p - (-1 + 4). Let x = 295/26 - 23/2. What is the third biggest value in x, 2, r?
r
Let f = -214/7 + 31. Let w = -15 - -17. Which is the third biggest value? (a) w (b) f (c) -3
c
Let x(f) = f - 2. Let z be x(0). What is the biggest value in -2/7, 0.1, z?
0.1
Let p = -5.97 - 0.03. Let n = p + 5.5. Let h = 0.3 + n. What is the second biggest value in 0.3, h, 4?
0.3
Let w = -11.3 - -11. Suppose 4*f + 8 = -3*l, 0 = -5*f - l - 11 - 10. What is the smallest value in 2, f, w?
f
Let n = -20 + 18. Let q = -3.2 + 3. What is the second smallest value in n, 0.4, q?
q
Let m = 10/9 - 152/153. Let o be 6/(-9) + (-15)/72. Let s = o - -19/40. Which is the third smallest value? (a) s (b) m (c) -5
b
Let l be 44/77 - (-8)/(-14). What is the fourth smallest value in 4, l, 2, 1?
4
Let o = -1.5 - -7.9. Let h = -6 + o. Let n = h + -0.6. Which is the second biggest value? (a) -3/8 (b) -3/7 (c) n
a
Let r = 0.2 + -0.7. Let w = r - -0.4. Let n = w + 2.1. Which is the smallest value? (a) n (b) 0 (c) -5
c
Suppose -g = -0*g - 6. Let n = 3 + 0. Let p be 1*5*(n + -2). Which is the second biggest value? (a) p (b) -5 (c) g
a
Let j be 10/(-17)*(121/(-55) + 2). Let z = -233 - -3497/15. What is the biggest value in -0.2, z, j?
z
Let n = -7/11 + 17/44. What is the third smallest value in 3/5, 1/3, n, 1?
3/5
Suppose 6*q = 5*q + 5. Let d be ((-10)/4)/q - 0. Which is the third biggest value? (a) d (b) -1/4 (c) -0.2
a
Let h(j) = j**3 - j - 2. Let n be h(2). Suppose -2*m + 3*q - 27 = -4*m, -m + 2*q = 4. Let k = m + -3. Which is the second biggest value? (a) n (b) -3 (c) k
c
Let q be (-4)/(-2)*(-2)/(-26). Let i(y) = -y + 2. Let g be i(4). Let z be 3/((-12)/g)*0. What is the third smallest value in q, z, 0.3?
0.3
Let l be (9/(-6)*-1)/1. Let g be (39/(-18) + 2)*2. Let k be 3*(-2 + (-560)/(-276)). What is the second biggest value in l, k, g?
k
Suppose 0 = 16*o - 4 + 20. Which is the biggest value? (a) -5 (b) 2 (c) -1/4 (d) o
b
Let o = -32 - -29. Which is the smallest value? (a) -4 (b) 2 (c) o
a
Suppose 5*l = -10, -7*l + 4 = -2*k - 10*l. Let q = 1.4 - 1. Which is the smallest value? (a) k (b) -3 (c) q
b
Let h be (-2)/(-5) - 24/(-15). What is the biggest value in h, -14, -2?
h
Let r = -0.18 + 2.18. Which is the biggest value? (a) -2 (b) 0.2 (c) r
c
Let x be -2*(0 + 36/8). Let t be (-2)/(-9) + 38/x. What is the second smallest value in t, -1/10, 5?
-1/10
Let a be (-2)/21*75/(-50). What is the second biggest value in a, -6, 0.1?
0.1
Let a be (-37)/222 + (-11)/42. Let y be 1/2*(-1 - 1). What is the second biggest value in a, y, -0.3?
a
Let w be (-4 - (-20)/6)*6. What is the second smallest value in w, -0.2, -6/7?
-6/7
Let v = -2.9 + 3. Let u = -8.1 + v. Let z = u + 6. Which is the biggest value? (a) z (b) -2/3 (c) -5
b
Let o = -103 + 103.2. Which is the third biggest value? (a) 9 (b) -1/4 (c) o
b
Let p = 286 - 2285/8. Which is the second biggest value? (a) p (b) -12 (c) -5
c
Let w = -66 + 61. Which is the fourth biggest value? (a) -18 (b) w (c) 1 (d) -1/2
a
Let g = -0.13 - -1.23. Let u = g + 2.9. Which is the second biggest value? (a) 2 (b) 0.2 (c) u
a
Suppose 585 = -5*g - 1620. Let m be (-37078)/84 - (-1)/2. Let u = m - g. Which is the biggest value? (a) u (b) 1 (c) 0.3
b
Let s = -0.3 - 0.2. Let t = -10 + 11. Which is the bi | {
"pile_set_name": "DM Mathematics"
} |
in -839 + 839 - 17*s**3 - 9*s**3.
-26*s**3
Collect the terms in 174*h**2 + 255650*h - 255650*h.
174*h**2
Collect the terms in 2 + 4 - 570*v + 576*v - 2.
6*v + 4
Collect the terms in 13*y - 40*y + 12*y + 6 - 40 + 14*y.
-y - 34
Collect the terms in 535 - 535 - 2979*i**3.
-2979*i**3
Collect the terms in -12*o - 9*o + 21*o + 273*o**2.
273*o**2
Collect the terms in -8*u**3 - 23*u**3 + 31*u**3 + 2*u**3 + 35*u.
2*u**3 + 35*u
Collect the terms in -1 + 44*g**2 + 46*g**2 + 1 - 73*g**2.
17*g**2
Collect the terms in 14*w**2 + 22*w**2 - 8028*w + 8028*w + 32*w**2.
68*w**2
Collect the terms in 23*r**2 - 31073*r - 32*r**2 + 31073*r.
-9*r**2
Collect the terms in 111383755 - 111383755 + 19*x**2.
19*x**2
Collect the terms in -28*o**3 + 93*o**3 + 6*o**3 - 6*o**3 + 117*o**3.
182*o**3
Collect the terms in -122 - 123 + z + 245 - 4*z.
-3*z
Collect the terms in -10613*j**2 + 5298*j**2 + 5312*j**2.
-3*j**2
Collect the terms in -36138*o - 15290*o - 37003*o.
-88431*o
Collect the terms in -1381*k - 1458*k - 593*k.
-3432*k
Collect the terms in 32 + 6 + 91 + 2*t.
2*t + 129
Collect the terms in 27*v - 11366 + 11366 + 29*v - 12*v.
44*v
Collect the terms in 25*j - 15*j - 5*j - 53*j.
-48*j
Collect the terms in -12*q + 9*q - 16 + 3.
-3*q - 13
Collect the terms in -30*w**2 + 1 - 1 + 203*w - 205*w.
-30*w**2 - 2*w
Collect the terms in -2118*j**2 + 1221*j**2 + 897*j**2 + 2*j - 2*j - 10*j**3.
-10*j**3
Collect the terms in 5599 + 184*m - 2797 - 2802.
184*m
Collect the terms in -4 + 11*o - o - 4*o + 9 - o**2.
-o**2 + 6*o + 5
Collect the terms in 53*p - 14*p**3 - 105*p + 57*p.
-14*p**3 + 5*p
Collect the terms in -423*b**2 - 16944 + 425*b**2 + 16944.
2*b**2
Collect the terms in -246*k**2 + 453*k**2 - 44*k - 1 - 209*k**2 + 1.
-2*k**2 - 44*k
Collect the terms in 14*g**2 - 2013 - 1963 + 3976 - 13*g**2.
g**2
Collect the terms in 62*c**3 + 86 - 40 - 46 - 61*c**3.
c**3
Collect the terms in 8*m**2 + 10 + 25344901*m - 25344901*m.
8*m**2 + 10
Collect the terms in -3*p**3 - 533*p - 5*p**3 + 2*p**3 - 9*p**3 + 533*p.
-15*p**3
Collect the terms in 103593702*y - 103593702*y + 20*y**2.
20*y**2
Collect the terms in -192*v**2 + 2112*v**2 + 295*v**2 - 123*v**2.
2092*v**2
Collect the terms in -667*i**3 - 4530*i**3 - 664*i**3.
-5861*i**3
Collect the terms in -26 - 40 + 6*u - 22 + 51.
6*u - 37
Collect the terms in 645*c**3 - 541*c**3 - 1477*c**3 - 743*c**3.
-2116*c**3
Collect the terms in 1343 + 1338 - 330*a - 2681.
-330*a
Collect the terms in -13*a - 114011 - 2*a**2 + 114011.
-2*a**2 - 13*a
Collect the terms in -19*a**3 - 29*a**3 - 30*a**3 + 82*a**3 - 11.
4*a**3 - 11
Collect the terms in -69*r**2 + 130*r**2 - 59*r**2.
2*r**2
Collect the terms in -800*i**3 - 890*i**3 + 1691*i**3.
i**3
Collect the terms in -4465576 + 4465576 + 8*a.
8*a
Collect the terms in -14338 + 28*v - 14357 + 28693.
28*v - 2
Collect the terms in 2*w - 15269 + 1650 - 18398.
2*w - 32017
Collect the terms in -1873*f**3 + 1298 - 1298.
-1873*f**3
Collect the terms in 8*r - 7*r + 17*r - 47*r**2 - 13*r**2 - 18*r.
-60*r**2
Collect the terms in 157*u**2 - 1 - 154*u**2 + 1 - 35*u**3.
-35*u**3 + 3*u**2
Collect the terms in -174*m**2 - 936*m**2 + 35*m**2 - 656*m**2 - 433*m**2.
-2164*m**2
Collect the terms in 42308 + 144*v - 42308.
144*v
Collect the terms in 9398*h - 4375*h - 5020*h.
3*h
Collect the terms in -607*b - 102*b + 705*b.
-4*b
Collect the terms in 11679*a**2 + 11677*a**2 - 23360*a**2.
-4*a**2
Collect the terms in -11*a + 28 + 30 + 8 + 27 - 93.
-11*a
Collect the terms in 50 - 81 + 49 - 18 + 39*x**3.
39*x**3
Collect the terms in -12*c**2 + 27*c**2 - 30*c**2 - 8*c**2.
-23*c**2
Collect the terms in 407*g - 30*g + 3158 - 3160.
377*g - 2
Collect the terms in 115*l**2 - 83*l**2 - 63*l**2.
-31*l**2
Collect the terms in 12*v**2 - 236*v**2 - 487*v**2.
-711*v**2
Collect the terms in 21*u**2 + 17*u**2 + 19*u**2 - 76*u**2 + 20*u**2.
u**2
Collect the terms in -9559935*n**3 - 3*n + 9559934*n**3 + 3*n.
-n**3
Collect the terms in t**3 - 247*t**2 + 63*t - 185*t**2 - 63*t.
t**3 - 432*t**2
Collect the terms in c**3 + 12872*c + 237223*c**2 - 12872*c - 237223*c**2.
c**3
Collect the terms in 739*s - 657*s + 825*s + 1618*s.
2525*s
Collect the terms in -21386*n + 2 - 2252*n - 1 - 21983*n.
-45621*n + 1
Collect the terms in 1255 + 7939 - w**2 + 1291 + 4*w**2.
3*w**2 + 10485
Collect the terms in 3669 - 3669 + 6*q**3.
6*q**3
Collect the terms in 850*f + 800*f - 2534*f + 821*f.
-63*f
Collect the terms in -3*s + 25*s - 8*s - 8*s - 11*s.
-5*s
Collect the terms in -u - 1233542704 + 1233542704.
-u
Collect the terms in 4 + 85*p + 75*p - 224*p + 65*p.
p + 4
Collect the terms in 133*m + 69*m + 139*m.
341*m
Collect the terms in -4818*b**3 - 4964*b**3 - 3898*b**3.
-13680*b**3
Collect the terms in 31 - 36 + 30 + 8*r**2.
8*r**2 + 25
Collect the terms in -43*b + 52*b + 10*b**2 - 9*b.
10*b**2
Collect the terms in -31*z**2 + 17*z**2 - 111*z**3 + 14*z**2 - 44*z**3.
-155*z**3
Collect the terms in -p - 279 - 19*p + 279 + 3*p.
-17*p
Collect the terms in 78370*j - 26117*j - 26126*j - 26125*j.
2*j
Collect the terms in 86*s + 2 - 2 - 8593*s**2 + 8592*s**2.
-s**2 + 86*s
Collect the terms in 131*u**2 - 5*u**2 - 12*u**2 - u**3 - 31*u**2 - 29*u**2 - 5*u**2.
-u**3 + 49*u**2
Collect the terms in 149*d - 15*d - 116*d**3 + 114*d**3 - 134*d.
-2*d**3
Collect the terms in 20*t + 369762 - 48*t - 369762 + 16*t.
-12*t
Collect the terms in -5*u + u + u - 2*u.
-5*u
Collect the terms in -11 + 256*k - 273*k - 43*k - 194*k.
-254*k - 11
Collect the terms in 255*m - 859*m + 6*m**2 + 303*m + 301*m.
6*m**2
Collect the terms in 11*l**2 + 60 - 6 - 23 + 13 - 12*l**2.
-l**2 + 44
Collect the terms in 65*m**3 + 33*m**3 + 28*m**3 + 18*m**3.
144*m**3
Collect the terms in -6372 + 3*y + 6372 + 89*y**3 - y - 90*y**3.
-y**3 + 2*y
Collect the terms in -120*y**2 - 1 + 45*y**2 + 7*y**2 + 1.
-68*y**2
Collect the terms in -9086118*v + 9086118*v + 35*v**2.
35*v**2
Collect the terms in -6 + 0*d + 3*d + 8 - 8 - 10.
3*d - 16
Collect the terms in -18*y**2 + 6*y**2 + 7*y**2 - 4981*y**3 + 4980*y**3 + 5*y**2.
-y**3
Collect the terms in 2639 - 2639 + 10*a**2 + 16*a**2.
26*a**2
Collect the terms in 21814 - 10920 - 10894 + 7*j.
7*j
Collect the terms in -7341373*q**2 + 40*q**3 + 7341373*q**2 + 21*q**3.
61*q**3
Collect the terms in -34426*f**3 + 68923*f**3 - 34496*f**3.
f**3
Collect the terms in -26*o - 19*o + 103*o - 20*o - 22*o - 13*o.
3*o
Collect the terms in -1 - 121*o + 41*o - 256*o - 152*o.
-488*o - 1
Collect the terms in -277*h + 82*h + 68*h + 75*h + 68*h.
16*h
Collect the terms in -455*m**3 - m**3 + 5324718 - 5324718.
-456*m**3
Collect the terms in 138 - 125 - 3*a + 4*a.
a + 13
Collect the terms in 470 - 470 - 11*a + 0*a.
-11*a
Collect the terms in y**3 + 3*y**3 + 2060 - 3*y**3.
y**3 + 2060
Collect the terms in -1 - 3527*b + 1 - 6190*b.
-9717*b
Collect the terms in -5 - 25*o + 19 - 4 - 5 - 2.
-25*o + 3
Collect the terms in -128*q - 188*q - 323*q + 92*q.
-547*q
Collect the terms in -852*o**2 - 28*o + 14*o - 3*o**3 + 14*o.
-3*o**3 - 852*o**2
Collect the terms in -7*r**3 - 42*r**3 + 81*r**3 - 29*r**3.
3*r**3
Collect the terms in 158*f**3 - 70802 + 70802.
158*f**3
Collect the terms in -51*a + 91*a + 269*a**3 - 57*a - 271*a**3.
-2*a**3 - 17*a
Collect the terms in -1698 - 2*x**3 + 860 + 838.
-2*x**3
Collect the terms in 37*f**3 + 79 - 47 - 32.
37*f**3
Collect the terms in -10*k**2 - 78*k + 10*k**2 + 5019*k**3 - 5021*k**3.
-2*k**3 - 78*k
Collect the terms in -22*g**2 + 2484 - 2484 - 10*g**2.
-32*g**2
Collect the terms in 1101*l**3 + 1107*l**3 + 1102*l**3 + 1105*l**3 - 4416*l**3.
-l**3
Collect the terms in -f - 3*f - 10*f - 5*f.
-19*f
Collect the terms in -13*i + 42 + 40*i - 12*i - 17*i.
-2*i + 42
Collect the terms in 9 - 20*g**2 - 32 - 4*g**2 + 29*g**2.
5*g**2 - 23
Collect the terms in 20592*x**2 - 4720*x**2 - 15873*x**2.
-x**2
Collect the terms in 15845*y**3 - 5 + 5 + 3124*y**3.
18969*y**3
Collect the terms in -59*a - 3*a**3 - 6536166 + 6536166.
-3*a**3 - 59*a
Collect the terms in 270*m**2 + 78*m - 78*m - 26*m**2.
244*m**2
Collect the terms in p + 4*p + 22*p - 552 + 552.
27*p
Collect the terms in 488*z**2 - 2*z - 529*z**2 + 2*z.
-41*z**2
Collect the terms in 10*k**3 - 42*k**3 + 15*k**2 + 1 - 15*k**2 - 86*k**3.
-118*k**3 + 1
Collect the terms in -7*y**2 - 3*y**2 + 6*y**2 - 64*y**3.
-64*y**3 - 4*y**2
Collect the terms in -25127*v**3 + 12 | {
"pile_set_name": "DM Mathematics"
} |
git of j?
4
Suppose 4 = -2*y, 0 = 3*r - 0*r + 2*y + 25. Let a(j) = j**3 + 4*j**2 - 9*j - 14. Let o be a(-5). Let i = o - r. What is the tens digit of i?
1
Let g(i) be the third derivative of -i**6/120 - i**5/12 + i**4/6 - 7*i**3/6 + 2*i**2. Let q be g(-6). What is the units digit of q/25 - 34/(-5)?
7
Suppose l - 4644 = -5*d + 4*l, 5*d + 5*l - 4620 = 0. What is the tens digit of d?
2
Let d(x) be the third derivative of x**5/12 + x**4/12 + x**3/3 - 4*x**2. What is the tens digit of d(-3)?
4
Let u = 1818 - 1171. What is the hundreds digit of u?
6
Let j(a) = -2*a - 8. Let p be 9/6 + (-13)/2. Let l be j(p). Suppose 3*h - 4*w - 115 = -l*w, -3*h - w = -109. What is the units digit of h?
7
Let y(j) = -j**2 + 4*j - 1. Let k be y(3). Suppose k*r = r + 35. Suppose 0 = 3*x, d - x = -4*x + r. What is the tens digit of d?
3
Let s(m) = m**3 + 11*m**2 - 14*m + 12. Suppose -z = 2*n + n + 3, 5*z - 2*n + 66 = 0. What is the tens digit of s(z)?
3
Let k = 1136 + -764. Suppose 9*a - 5*a - k = 0. What is the tens digit of a?
9
Let n be ((-36)/10 + 0)*(-35)/14. Let w(m) = 14*m - 18. What is the units digit of w(n)?
8
Let v(h) be the third derivative of 0 + 7/60*h**5 - 1/6*h**4 - 6*h**2 + 0*h + 1/3*h**3 + 1/120*h**6. What is the units digit of v(-7)?
0
Let n(s) = s**3 + 27*s**2 + 19*s - 79. What is the units digit of n(-25)?
6
Let m(w) be the third derivative of -w**5/60 + 7*w**4/8 - 3*w**3/2 + 7*w**2. Suppose -4*c - 7 = -2*o + c, 4*c - 84 = -4*o. What is the tens digit of m(o)?
7
Suppose -3*x = -4*r + 22, 4*r - 12 = 2*x + 8. Suppose -4*n + 424 = n - r*d, 0 = 5*n + 2*d - 418. What is the units digit of n?
4
What is the hundreds digit of 3/7 + ((-1354700)/35)/(-10)?
8
What is the thousands digit of (-8)/((-16)/(-10)) + 1281 - 2?
1
Let g be 24 + 8/(-2) + 4. What is the units digit of g/1*3*(-8)/(-9)?
4
Suppose 3*j = -5*k + k, 0 = 2*k - 3*j. Suppose o + k*o = 45. What is the units digit of o/6 + 3/2?
9
Suppose 0 = -5*j + 4*j + 152. What is the tens digit of j/32*(9 - 1)?
3
Let i(m) = -5*m**2 + 6*m - 11. Let c(n) = -11*n**2 + 12*n - 22. Let u(q) = 6*c(q) - 13*i(q). What is the units digit of u(-4)?
9
Let d(i) = i**3 - 14*i**2 - 8*i - 41. What is the units digit of d(23)?
6
Let v(m) = -m**3 - 17*m**2 + 17*m + 62. What is the units digit of v(-19)?
1
Let s(z) = 1057*z**3 - 2*z**2 + 3*z - 1. What is the thousands digit of s(1)?
1
Suppose 6*s + 36 = 228. Suppose p = -4*f - f + s, 5*f - p = 28. What is the units digit of f?
6
Suppose -10*h + 10 = -5*h. Let k = 58 + -26. Suppose h*q + 2*o + 0*o - 68 = 0, -k = -q + o. What is the units digit of q?
3
Let x(r) = -r**3 + 7*r**2 + 9*r + 19. What is the hundreds digit of x(-6)?
4
Let t = 14 + -13. Suppose -i - 4*a - t = -3, -i - 2*a + 2 = 0. What is the tens digit of 158/6 - i/(-3)?
2
Let h(d) = 8*d - 107. Let o be h(10). Suppose k - 185 = -4*w, 5*w - 99 = 3*k + 128. Let z = o + w. What is the units digit of z?
9
Let h(n) be the second derivative of -13*n**3/6 + 9*n**2/2 + 14*n. What is the tens digit of h(-6)?
8
Let b(u) be the third derivative of 7*u**5/60 - u**4/12 - u**3/6 - 8*u**2. What is the tens digit of b(3)?
5
Suppose 0 = -3*i + t + 2, 0*t + t + 2 = i. Let q be 1/3*(75 + i). Suppose m - 11 = -o, 0 = 3*m - 4*o - o - q. What is the units digit of m?
0
Suppose -8 = -4*l + 12, 558 = i + 5*l. What is the tens digit of i?
3
Let x(y) = -2*y - 6. Let r = 14 - 22. Let u be x(r). Let p = 12 - u. What is the units digit of p?
2
Suppose -550 = 11*c - c. Let q = c + 64. What is the units digit of q?
9
Let s = -5 - -2. What is the units digit of -24*(s - (0 - (-8)/12))?
8
Let r(p) = -3*p**3 - 1. Let j be r(-1). Suppose 2*i = -6, -3*q + 170 = q + j*i. Suppose 2*m = -0*m + q. What is the units digit of m?
2
Let s(h) = -4*h + 108. What is the tens digit of s(19)?
3
What is the units digit of (-40)/(-1)*(-2 + (-75)/(-12))?
0
Let a(x) be the second derivative of 3/2*x**2 + 5/12*x**4 + 1/20*x**5 + x + 0 + 1/2*x**3. What is the units digit of a(-3)?
2
What is the tens digit of 1/((-1)/652)*(-46)/92?
2
Suppose 2*d + 245 = x, 4*d - 652 = -4*x + 328. Let r = x - 168. What is the units digit of r?
7
Let v = 794 - 279. What is the units digit of v?
5
Let z be (-50)/4*224/(-35). Suppose 55 + z = 5*x. Suppose -3*t - 4*h - x + 97 = 0, 0 = -3*t + 2*h + 64. What is the tens digit of t?
2
Let i(s) = 12*s**3 + 5. Let x(c) = c**2 + 3*c - 2. Let p be x(-4). What is the units digit of i(p)?
1
Suppose 0 = 179*b - 165*b - 26180. What is the tens digit of b?
7
Suppose -10*r - 5 = -5*r. Let l(p) = 17*p**2 - p. What is the units digit of l(r)?
8
Let d(g) = -g**2 - 7*g - 18. Let s be d(-3). Let f(l) = -37*l - 39. What is the hundreds digit of f(s)?
1
Suppose 2*o + 10*o - o = 0. Suppose o = -p + 100 + 33. What is the tens digit of p?
3
Let o be 674/10 - 6/45*3. Let h = 30 + o. What is the tens digit of h?
9
Let h be (1/3)/(-1)*-6. Suppose -5*x - 252 = -h*z - x, 123 = z - x. Suppose 0 = -5*c - 5*q + z, -83 = -3*c - q - 15. What is the units digit of c?
2
Suppose -2*f + 3*f - 47 = -2*m, -2*m + f + 49 = 0. Suppose -o = -83 + m. What is the units digit of o?
9
What is the units digit of -5 + (75 + -9 - -8)?
9
What is the hundreds digit of (-31 - -30)/((-2)/1354)?
6
Suppose 2*t = 10*t - 24. Suppose -2*w + 8*p = t*p - 81, -4*w + 3*p + 197 = 0. What is the units digit of w?
3
Let u be 147/(-14)*(-4)/6. What is the hundreds digit of ((-3)/(-9))/((u/(-645))/(-7))?
2
Let a be (-2)/((-2)/(-63)*-3). Suppose -3*i + a = -3*n, -n = 5*i + 2*n - 51. What is the tens digit of (12/6)/(1/i)?
1
Suppose 25 = 2*n + 3*n. Let x(u) = u**3 - 6*u**2 - 6*u - 3. Let s be x(7). Suppose f = -s*b - 2*f + 24, -b - f = -n. What is the units digit of b?
9
Suppose 7*h - 243 = 2816. What is the units digit of h?
7
Let x be 2/(-4) - (-6)/12. Suppose x = -2*t - o + 6, 0 = o - 3*o - 4. Suppose -2*z + t*z = -5*b + 95, b - 2*z = 31. What is the units digit of b?
1
Suppose 2*f - 2829 = -r, 3*r = 47*f - 42*f - 7045. What is the thousands digit of f?
1
Let g = 1 - -8. Suppose 6*r - g = 243. What is the units digit of r?
2
Suppose -2*o - 19901 = -5*q, -3*q = -2*o + 7*o - 11953. What is the thousands digit of q?
3
Let x(c) be the first derivative of 11*c**3/3 + 3*c**2/2 + 2*c + 2. Let r = 157 - 159. What is the tens digit of x(r)?
4
Suppose -5*u = -5*p + 7460, 4*p + 3*u - 5938 = u. What is the hundreds digit of p?
4
Let k be (-52)/(-6) - 5/(-15). Let x be (15/2)/(k/54). Suppose -3*t = -b - x, -3*t = 5*b + 23 - 86. What is the tens digit of t?
1
Suppose -7*h + 8*h - 24 = 2*q, 0 = -h - q + 39. What is the units digit of h?
4
Let r(l) = 286*l + 744. What is the thousands digit of r(4)?
1
Suppose 2*n + 5*t - 3690 = 0, -4*n - 4*t + 7392 = -0*t. What is the hundreds digit of n?
8
Let u = 2099 + -1118. What is the hundreds digit of u?
9
Suppose -4*y + 302 = i - 873, 0 = -y + 5*i + 278. What is the hundreds digit of y?
2
Let c(l) = -l**2 + 4*l + 2. Let j be c(4). Suppose 4*t + u = -j*u + 5, u = -t. Suppose 4*r = t + 3. What is the units digit of r?
2
Let b(j) = -j**3 + 0 - 6 - j + 7*j**2 + 4 - 1. Let v be b(6). What is the units digit of v - 8/(16/4)?
5
Suppose 67*x - 72*x + 85 = 0. Suppose -6*w + 45 = -w. Let t = x - w. What is the units digit of t?
8
Suppose -5*x = -i - 13, 3*x - 8 - 7 = 3*i. Let o be x/((20/8)/5). Suppose -107 = -o*n - m, -3*n + 5*m - 87 = -7*n. What is the tens digit of n?
2
Suppose -39*r = -38*r. Let b = 9 - r. What is the units digit of b?
9
Let c be 4/(-10) + 774/(-90). Let x be 0/(c/3 - 1). Suppose -2*b + x*b = -76. What is the units digit of b?
8
Let f(v) = -6*v**3 - 7*v**2 - 8*v - 10. What is the tens digit of f(-4)?
9
Let k(s) = 568*s + 567. What is the tens digit of k(4)?
3
Let n(z) = -z**2 - 13*z + 5. Suppose -k - 21 = 2*k. What is the units digit of n(k)?
7
Suppose 0 = 2*v - 392 - 476. What is the units digit of v?
4
Let n(q) = 14*q + 10. Let l be n(-8). Let c = l + 179. What is the units digit of c?
7
Let s(w) = -7*w + 6. Let d be s(-4). Suppose -5*n + 446 + d = 0. What is the tens digit of n?
9
Suppose u + q + 8 = -2*q, -4*u - 3*q = -4. What is the hundreds digit of 6072/55 + u/(-10) + 4?
1
Let i = -5 + 6. Suppose r - 7 = -i. Suppose 2*y = r*m - 2*m + 114, -m + 150 = 3*y. What is the tens digit of y?
5
Let c be 52/14 - 4/(-14). Suppose -2*u + 4*u + 5 = -5*m, 0 = -c*m - 12. Suppose -3 | {
"pile_set_name": "DM Mathematics"
} |
d*q**3 - 56*d*q**2 - 55*g*q**3 wrt g?
6*d*g*q**2 - 2*d*g*q - 55*q**3
What is the third derivative of 81*q**2*z**3 + 2*q**2*z - q*t**2*z**3 + 4*q*t**2*z**2 - 2*q*t**2*z - 3*q*z wrt z?
486*q**2 - 6*q*t**2
Find the third derivative of -716*g**3*s**4 + 214*g**3*s**2 - 3*g**3*s + 2*g**2*s**6 + g*s**2 wrt s.
-17184*g**3*s + 240*g**2*s**3
Find the first derivative of -u**4 - 2*u**2*w - 639*u**2 + 5499*w wrt u.
-4*u**3 - 4*u*w - 1278*u
Find the first derivative of -5*i*j*r**3*u - 438*i*j*r**3 + i*r*u - 2*j*r**2*u + j*r - 137*r**3 - u wrt i.
-5*j*r**3*u - 438*j*r**3 + r*u
Find the third derivative of 4*p**3*z**4 - 74*p**3*z**3 - 107*p**3 - 2*p**2*z**2 wrt z.
96*p**3*z - 444*p**3
What is the second derivative of -18*r**3*w**3*x**2 + 3*r**3*w**2 - 2*r*w**3*x + 6*r*w**2*x wrt x?
-36*r**3*w**3
Find the second derivative of -168*a**2 + 17*a - 1.
-336
Find the second derivative of 4*p**3*v**3 + 2*p**3*v**2 - 76*p**3*v + 2*p**3 + p*v + 10*v**3 wrt v.
24*p**3*v + 4*p**3 + 60*v
Differentiate 4*y**3 - 1160*y + 2928.
12*y**2 - 1160
Find the second derivative of 231*o**5 + 163*o.
4620*o**3
What is the third derivative of -19*h**2*n**2*v + 3*h**2*n*v**3 - 55*h**2*n*v**2 - h**2*n - 1279*h*n**2*v**3 wrt v?
18*h**2*n - 7674*h*n**2
Find the second derivative of 1744*c**2*x**2 + 599*c**2*x + c**2 wrt x.
3488*c**2
What is the third derivative of -12*h**3*o - 91*h**3*u + 3*h**2*o + 2*h*o*u + 244*o wrt h?
-72*o - 546*u
Find the third derivative of -75*o**2*q**3 + 3*o**2*q + 4*o*q**2 - 2*o*q - 4*q**3 wrt q.
-450*o**2 - 24
Find the second derivative of -28*g**4 + 11*g**2 + 11559*g wrt g.
-336*g**2 + 22
Differentiate a**2*j + 2*a**2*o - 3*a**2 + 720*a*j**2*o + 9*a*j**2 wrt o.
2*a**2 + 720*a*j**2
What is the second derivative of 19*l**3*x**3 + l**3*x - 6*l*x**3 - 164*l*x wrt x?
114*l**3*x - 36*l*x
Find the first derivative of 57*c - 87.
57
Differentiate -31*a**2*l**2 + 23*a**2 - 2*a*l**3 + 15641*l**3 with respect to a.
-62*a*l**2 + 46*a - 2*l**3
What is the second derivative of -1214*a**3 - 853*a wrt a?
-7284*a
Find the second derivative of -68*g**2*r**3 + 5*g**2*r*u - 7*g**2*r - 3*g*u + 2812*r**3 wrt g.
-136*r**3 + 10*r*u - 14*r
Find the first derivative of -140*d + 1472 wrt d.
-140
What is the second derivative of -4*k**3 + 7*k**2 + 2*k + 33?
-24*k + 14
What is the derivative of 2*j*o**4*y**2 - j*o*y + j*y**3 - 10*j*y + 4*o*y**3 - 2*y**3 wrt o?
8*j*o**3*y**2 - j*y + 4*y**3
Find the first derivative of -5797*z + 2035 wrt z.
-5797
Find the third derivative of -23*v**5 + 2*v**4 + 90*v**2.
-1380*v**2 + 48*v
Find the third derivative of o**5 - 36*o**3 - 6*o**2 - 19*o - 5 wrt o.
60*o**2 - 216
What is the third derivative of 10*b**3*n**3*z**2 - b**3*n*z**3 + 5*b**3*n*z**2 - 3*b**2*n**3*z**3 + b**2*z**2 + b*n**3 wrt z?
-6*b**3*n - 18*b**2*n**3
What is the derivative of -2*m**3 + 352*m**2 - 1182 wrt m?
-6*m**2 + 704*m
Find the third derivative of 167*g**4 - 6*g**3 + 2138*g**2 wrt g.
4008*g - 36
Find the third derivative of -1543*d**6 - 2*d**2 - 1338*d.
-185160*d**3
Differentiate -23*h*l**3*p**2 + 6*h*l**3*p + 9*l**3 - 3*l**2*p - 2*p**2 with respect to h.
-23*l**3*p**2 + 6*l**3*p
What is the third derivative of 184*h**2*z**4 + 3*h**2*z - 37*h**2 - 2*h*z**3 + 2*h*z + z**5 - 3*z**2 wrt z?
4416*h**2*z - 12*h + 60*z**2
Find the second derivative of -9*n**2*y + 5*n**2 + 2*n*y + 26*n wrt n.
-18*y + 10
Find the second derivative of 205*j*o**4 - 89*j*o - 5*j - o**2 wrt o.
2460*j*o**2 - 2
What is the second derivative of 6*g*k**2*y**3 + 3*g*k*y + 24*k**2*y**3 - 4*k*y**3 + 6*y**2 wrt k?
12*g*y**3 + 48*y**3
What is the third derivative of -829*h**3 + 1185*h**2 wrt h?
-4974
What is the first derivative of 27*w**3*x**3 - 1888*w**3 + 46*w*x**3 wrt x?
81*w**3*x**2 + 138*w*x**2
What is the second derivative of -753*o**2 + 16*o wrt o?
-1506
What is the third derivative of f**5*j + f**2*j + 46*f**2 - 2*f*j wrt f?
60*f**2*j
What is the first derivative of -2*l**2*x**3 + 37*l**2*x**2 + 3*l**2 + 5 wrt x?
-6*l**2*x**2 + 74*l**2*x
What is the second derivative of 3034*u**2 + 2530*u?
6068
What is the third derivative of -c**3*n**3 + c**3*n**2 + 27*c*n**4 - 2*n**4 - 2*n**2 - 69 wrt n?
-6*c**3 + 648*c*n - 48*n
Find the second derivative of 95*n**5*p + n**3*p**3 - 6*n*p**3 + 104*p**3 wrt n.
1900*n**3*p + 6*n*p**3
What is the third derivative of 3*i**3*p**3 + i**3*p**2 - i**3 - 7*i**2*p**3 - 20*i**2*p**2 + 5*p**2 wrt i?
18*p**3 + 6*p**2 - 6
Differentiate 29*f**2*k - 10869*f**2 + 11*k with respect to k.
29*f**2 + 11
Find the second derivative of -2*n*u**4 - 2*n*u + 45*n - u**5 - 4*u wrt u.
-24*n*u**2 - 20*u**3
What is the second derivative of f**2*s**3*w - 5*f**2*s*w - 24*f**2 - f*s**3 - 47*f*s*w - 4*s**3*w wrt f?
2*s**3*w - 10*s*w - 48
What is the first derivative of -59*d**4*o*x - 2*d**2*x + 3*o*x - 5*o wrt d?
-236*d**3*o*x - 4*d*x
Find the second derivative of 846*o**2*p**4 - 3*o**2*p**2 - 22*o**2*p - 73*p wrt p.
10152*o**2*p**2 - 6*o**2
What is the third derivative of -120*i**3 - 181*i**2 wrt i?
-720
Find the first derivative of 23*g**4*r - 2*g**2*r**3 + 25*r**3 - r**2 wrt g.
92*g**3*r - 4*g*r**3
Find the third derivative of -113*x**3 - 2*x**2 + 101 wrt x.
-678
What is the second derivative of -115*j**2*z**3 - j*z**3 + 58*j - 1 wrt j?
-230*z**3
Find the second derivative of -2*b**2*t**3 - 307*b**2*t**2 + 64*b**2*t - 1 wrt t.
-12*b**2*t - 614*b**2
What is the third derivative of -3*d**6*m**2 + 22*d**4*m**2 - 9*d**2*m**2 + 2*d*m**2 wrt d?
-360*d**3*m**2 + 528*d*m**2
What is the derivative of -9*a**3*j + 49*a**3 + 91*a**2*j + 2*a**2 + 5*a wrt j?
-9*a**3 + 91*a**2
Find the second derivative of -21*h**2*n*w**2 + h**2*n*w + 20*h**2 - 3*h*n*w - h*n + 2*n*w**2 wrt w.
-42*h**2*n + 4*n
What is the second derivative of 399*p**2 - 7*p - 4?
798
What is the first derivative of 6*l**3*m*v - 2*l**3 - 1068*l*v**3 + 84*m*v**3 wrt m?
6*l**3*v + 84*v**3
What is the third derivative of -77*o**4*t - 3*o**3*t + 2*o**2*t - 2*t - 1 wrt o?
-1848*o*t - 18*t
What is the third derivative of 4*i**5 + 4*i**4*k + i**3*k - 3*i**2*k + 31*i*k wrt i?
240*i**2 + 96*i*k + 6*k
Differentiate -i*j + 7*i*q**3 - 27*i*q + 2*j*q**3 + 22*q**3 wrt i.
-j + 7*q**3 - 27*q
What is the second derivative of 3973*i**2 - 1120*i + 2 wrt i?
7946
What is the third derivative of -101*r**2*s**5 + r**2*s**4 + 2091*r**2*s**2 - 2*s**2 wrt s?
-6060*r**2*s**2 + 24*r**2*s
Differentiate -280*x**3 + 44 with respect to x.
-840*x**2
Find the third derivative of 5*w**4 - 448*w**3 + 5*w**2 - 269*w.
120*w - 2688
Differentiate 3406*f**2 + 1243 with respect to f.
6812*f
Find the third derivative of -43*r*z**3 - 9*r*z**2 + 11*z**2 wrt z.
-258*r
Find the second derivative of 2*l**5 + 6*l**2*q**2 - 15*l**2 - 2*l - 540*q**2 wrt l.
40*l**3 + 12*q**2 - 30
Differentiate u**4 + 46*u + 255.
4*u**3 + 46
What is the second derivative of -34*h**2 - 2*h - 7 wrt h?
-68
Find the third derivative of 32*d**3*o**3 - 2*d**3*o + 38*d**3 + 57*d*o**4 + 2*d*o - 3*o**2 wrt o.
192*d**3 + 1368*d*o
Find the third derivative of 5768*z**4 + 116*z**2 + 22*z.
138432*z
What is the second derivative of 1070*r**2*s**2 - 57*r*s**2 + 4*r*s wrt r?
2140*s**2
Find the second derivative of 14*t**5 - 2*t**3*w - 2*t**2*w**2 + 3*t*w**2 + t*w - 43 wrt t.
280*t**3 - 12*t*w - 4*w**2
What is the second derivative of -m**3*u**5 - 5*m**3*u**2 + 24*m**3*u + 5*m*u wrt u?
-20*m**3*u**3 - 10*m**3
What is the third derivative of -3*y**6 - 22*y**3 - 15*y**2 + 8?
-360*y**3 - 132
Differentiate 2*a*s**2 - 2852*a + 11*s**2 - 11*s wrt a.
2*s**2 - 2852
What is the third derivative of -171*l**5*x**3 + 3*l**5 + 2*l**2*x**2 - l*x**3 - 27*l*x wrt l?
-10260*l**2*x**3 + 180*l**2
Find the third derivative of -2774*t**3*x**3 + 2*t**3*x - 24*t**2*x**3 + t**2*x - x**3 - 21*x wrt t.
-16644*x**3 + 12*x
Find the second derivative of 24*l**2*t**3 - 64*l**2*t**2 - 25*l**2 - 2*t + 8 wrt t.
144*l**2*t - 128*l**2
Differentiate i**4 + 12030*i**3 + 4908.
4*i**3 + 36090*i**2
What is the derivative of 619*a**2*d**2 - 118*a**2 + a wrt d?
1238*a**2*d
What is the second derivative of -2*v**3 + 133*v**2 - 5*v + 8 wrt v?
-12*v + 266
Find the second derivative of 12*j**5 + 52*j**2 + 8149*j - 1 wrt j.
240*j**3 + 104
What is the third derivative of -2504*h**6 - 274*h**2 + h?
-300480*h**3
Differentiate 309*d**2*o - 2459*d**2 + 2 wrt o.
309*d**2
What is the third deriv | {
"pile_set_name": "DM Mathematics"
} |
= 1807*t + 102. Let y(r) = 1808*r + 76. What is -3*w(f) + 4*y(f)?
1811*f - 2
Let q(x) = -6*x**2 + 13*x + 16. Let m(n) = -42*n**2 + 94*n + 115. Calculate 4*m(w) - 29*q(w).
6*w**2 - w - 4
Let g(t) = 6*t**2 - t + 2. Let o(z) = -17*z**2 + 9*z - 4. Let h(v) = -3*g(v) - o(v). Let s(y) = -y - 1. Determine -h(a) + 4*s(a).
a**2 + 2*a - 2
Let i(m) = 3*m**2 + 33*m - 81. Let k be i(-13). Let j(w) be the first derivative of 2*w - 3 + 5/2*w**2. Let h(c) = 26*c + 10. Determine k*h(y) + 16*j(y).
2*y + 2
Let u(o) = -o**2 - 1. Suppose 3*q - q = 2. Let v(a) = 4380 - 4375 - 4298*a + 10*a**2 + 4298*a. What is q*v(w) + 5*u(w)?
5*w**2
Let r(u) = -3*u**2 - 54*u - 38. Let l(j) = -3*j**2 - 41*j - 36. Calculate -4*l(z) + 3*r(z).
3*z**2 + 2*z + 30
Let p(g) = -3*g**3 - 208*g**2 + 207*g**2 + 2*g**3. Let w(l) be the third derivative of -l**5/60 - l**3/3 - 180*l**2. Give -p(i) - w(i).
i**3 + 2*i**2 + 2
Let y(t) = -t + 1. Let d(k) be the first derivative of -2*k**2 + 7*k - 1544. What is -d(x) + 3*y(x)?
x - 4
Let g(p) = 2*p**2 + 67*p + 5. Let z(n) = 2*n**2 + 67*n + 9. Calculate 3*g(j) - 2*z(j).
2*j**2 + 67*j - 3
Let l(j) = -16*j**3 - 693*j - 12. Let k(q) = -48*q**3 - 2084*q - 42. Give 2*k(r) - 7*l(r).
16*r**3 + 683*r
Let l(u) = -10*u**2 - 136*u - 2800. Let t(i) = 2*i**2 + 25*i + 560. Calculate 2*l(o) + 11*t(o).
2*o**2 + 3*o + 560
Let o(m) = 531*m**2 + 2*m - 3. Let y(j) = -1062*j**2 - 5*j + 7. Determine 14*o(t) + 6*y(t).
1062*t**2 - 2*t
Let b(a) = 88*a - 180*a**2 - 131*a**2 + 88 - 96*a**2. Let w(u) = -14*u**2 + 3*u + 3. Suppose z + 588*r - 586*r = -58, 5*r - 163 = z. What is z*w(k) + 3*b(k)?
11*k**2
Let y(c) = 4*c**3 + 3*c**2 - 5*c - 2. Let l(f) = -2*f**3 - 2*f**2 + 3*f + 1. Let t(i) = i**2 + 56*i + 162. Let j be t(-3). Determine j*y(o) + 5*l(o).
2*o**3 - o**2 - 1
Let q(x) = 3*x**3 + 4*x**2 + 7*x + 3. Let v(k) = -580*k**3 + 159 + 581*k**3 - 81 + 2*k**2 + 3*k - 77. Calculate -2*q(t) + 5*v(t).
-t**3 + 2*t**2 + t - 1
Let t(l) = 35*l - 13. Let g(f) = 8*f - 108. Let n(y) = 7*y - 134. Let d(x) = 5*g(x) - 4*n(x). What is -7*d(q) + 2*t(q)?
-14*q + 2
Let m(t) = 2*t**3 + 8*t**2 - 33*t - 345. Let n(c) = -c**3 - 5*c**2 + 22*c + 229. What is -5*m(x) - 8*n(x)?
-2*x**3 - 11*x - 107
Let c(d) = 8*d**2 + 12*d + 45. Let j be c(-6). Let p(o) = j*o + 10*o**3 + 243*o - 496*o. Let h(y) = 3*y**3 + 3*y. What is 8*h(x) - 3*p(x)?
-6*x**3
Let x(a) = 3*a**3 + 47*a - 5. Let w(c) = c**3 + 24*c - 2. Let p = 28130 - 28126. Give p*x(o) - 10*w(o).
2*o**3 - 52*o
Let x(s) = 10*s**3 - 29*s + 10*s + 14*s - 233*s**2 + 240*s**2. Let t(h) = -11*h**3 - 6*h**2 + 4*h. Give 5*t(a) + 4*x(a).
-15*a**3 - 2*a**2
Let i = -7 - -15. Suppose 7*f - i*f = 3. Let t(r) = 6*r**3 - 4*r + 4. Let g(b) = 5*b**3 + 2 + 3 + 0 - 3*b - 2. Calculate f*t(k) + 4*g(k).
2*k**3
Let k(s) = -6*s**3 - 3*s**2 + 428*s - 14. Let d(f) = -3*f**3 - f**2 + 215*f - 8. Calculate 7*d(y) - 4*k(y).
3*y**3 + 5*y**2 - 207*y
Let s(f) = 39*f - 1514. Let h(c) = -32*c + 1513. Give 6*h(p) + 5*s(p).
3*p + 1508
Let p(c) = -5*c + 16. Let o(m) = 9*m - 32. Let s(q) = -2*q**3 - 44*q**2 - 4*q - 95. Let t be s(-22). Determine t*p(d) - 4*o(d).
-d + 16
Let m(l) be the first derivative of 17*l**4/4 + 2*l**3 - 5*l**2 - 6*l - 7089. Let q(f) = -16*f**3 - 5*f**2 + 9*f + 5. Calculate 5*m(p) + 6*q(p).
-11*p**3 + 4*p
Let j(v) = 273*v + 783. Let y(d) = -403*d - 782. Determine -3*j(u) - 2*y(u).
-13*u - 785
Let u(g) = -11922*g + 24. Let b(c) = 4258*c - 8. Let z(t) = 14*b(t) + 5*u(t). Let p = -2 + 5. Let a(q) = 1. Give p*a(y) - z(y).
-2*y - 5
Let b(d) = -8*d + 2. Let z(j) = -47*j - 1415. Give 6*b(v) - z(v).
-v + 1427
Let m(v) = -v + 2 + 2 - 3. Let a(l) = 5*l**2 - 10*l + 10. Let r = -443 - -448. Suppose r*o = -5*c + 60, c - 42 = 20*o - 24*o. Give o*m(n) - a(n).
-5*n**2
Let b(a) = -a + 7. Suppose -4*z - 3*y - 18 = -6, 0 = -z + 3*y - 3. Let q(h) = 11*h - 30. Let v(i) = z*b(i) - q(i). Let u(m) = m - 1. Calculate -6*u(o) - v(o).
2*o - 3
Let n(x) = -76*x**3 + 6*x**2 - 11*x - 11. Suppose 250 + 526 = -180*c - 14*c. Let p(i) = -25*i**3 + 2*i**2 - 4*i - 4. Give c*n(g) + 11*p(g).
29*g**3 - 2*g**2
Let k(c) = -c. Suppose -3*v + 0*m - m = -4, -v - m = 0. Suppose -3*g + 115 = v*g. Let f be (-10)/(-3) + g/(-69). Let i(b) = -2*b + 1. Determine f*k(a) - 2*i(a).
a - 2
Let i(d) = -4*d**2 - 7*d - 14. Let l(x) be the second derivative of -x**4/4 - x**3 - 7*x**2 + 76*x + 6. What is 6*i(u) - 7*l(u)?
-3*u**2 + 14
Let u(t) = 3*t**2 - 31*t + 74. Let d be u(5). Let r(m) = 5*m - 3. Let j(o) = 10*o - 7. What is d*j(a) + 14*r(a)?
10*a
Let t(q) = 12*q**3 + 5*q**2 - 9*q - 316. Let o(u) = 14*u**3 + 6*u**2 - 11*u - 317. What is -5*o(c) + 6*t(c)?
2*c**3 + c - 311
Let f(o) = 4*o**2 + 49*o - 92. Let u be f(-14). Let s(v) = 1. Let k(g) = 8*g + 3. Calculate u*s(t) - k(t).
-8*t + 3
Let f(z) = -11*z + 6. Let b(p) = 10*p - 5. Suppose 5*a - 3 = -3. Suppose -5*w + 25 = -a*w. Give w*f(m) + 6*b(m).
5*m
Let w = -4794 + 4789. Let u(m) = -2*m**2 + 4*m - 1. Let g(j) = -2*j**2 + 5*j - 2. Determine w*u(y) + 4*g(y).
2*y**2 - 3
Let z(j) = 5*j - 157. Let i(t) = -10*t + 150. Calculate 5*i(c) + 6*z(c).
-20*c - 192
Let k(b) = 3*b**3 - 2*b**2 + 2*b. Let u(d) be the first derivative of 13*d**3 - 57/4*d**4 + 0*d - 39/2*d**2 - 37. What is -117*k(r) - 6*u(r)?
-9*r**3
Let o(i) = -36*i**3 + 67*i**2 + 7*i - 14. Let u(p) = -38*p**3 + 51*p**2 + 6*p - 12. What is 5*o(z) - 6*u(z)?
48*z**3 + 29*z**2 - z + 2
Suppose -5*h - 3*v - 22 = 28, 25 = -5*v. Let p(c) = -2*c + 3. Let o(k) = 8. Let d(n) = n - 9. Let g(f) = d(f) + o(f). Give h*g(a) - 2*p(a).
-3*a + 1
Let s(t) be the third derivative of t**4/4 + t**3/2 - 6*t**2. Let q(v) = 13*v + 7. Let l(a) = 358*a + 3225. Let d be l(-9). What is d*q(z) - 7*s(z)?
-3*z
Suppose 0 = -4*k + 27*k - 1 + 139. Let s(m) = m**2 - m. Let g(h) = -2*h**2 - 3*h. Calculate k*s(x) + g(x).
-8*x**2 + 3*x
Let j(g) = g**2 - g + 1. Let w(r) = 4*r**2 - 11*r + 5. Let k(p) = p**3 - 6*p**2 + 5*p - 22. Let i be k(9). Let c = 267 - i. Calculate c*w(z) - 5*j(z).
-z**2 - 6*z
Let k(f) = -6*f**3 - 7. Let a(m) = m - 17. Let c be a(30). Let x be -21*(2 - 3)*c/(-39). Let v(h) = -3*h**3 - 4. Determine x*v(l) + 4*k(l).
-3*l**3
Let y(g) = -3*g - 5. Let j(o) be the third derivative of 4/3*o**3 - 34*o**2 + 0 + 0*o + 1/6*o**4. Calculate -5*j(w) - 8*y(w).
4*w
Let k(r) = -552*r + 72. Let h(j) = -140*j + 18. Calculate 9*h(f) - 2*k(f).
-156*f + 18
Let w(h) be the third derivative of -7*h**5/60 + h**4/3 + 5*h**3/6 - 295*h**2. Let y(c) = c**2 - c - 1. Let m = -329 + 335. Give m*y(x) + w(x).
-x**2 + 2*x - 1
Let w(c) be the second derivative of -13*c**3/3 - 13*c**2 - 19*c + 8. Let v(b) be the first derivative of -5*b**2/2 - 5*b + 2. What is 16*v(a) - 3*w(a)?
-2*a - 2
Let f(d) = -681*d**3 + 4*d**2 - 6. Let l(t) = -4089*t**3 + 23*t**2 - 34. What is 34*f(g) - 6*l(g)?
1380*g**3 - 2*g**2
Let v(m) = 11*m + 9. Suppose 7*g - 4*g - 2*g = 6. Let d(j) = -21*j - 17. Give g*d(a) + 11*v(a).
-5*a - 3
Let w(m) = m**2 + 1. Let j = 276 + -274. Let l be 112/63 - j/(-9). Let v(o) = 3*o**2 + 2. Determine l*w(t) - v(t).
-t**2
Let o(v) = 1. Suppose 4*b + h = -5, 8 = -4*b - 3*h - 7. Suppose b = i + 11 - 12. Let m be (2/6 - i)/((-12)/18). Let w(u) = -u + 4. Give m*o(r) - w(r).
r - 3
Let r(d) = -7*d + 12. Let a(b) = -41*b - 51*b + 120*b - 36*b + 13. Give 5*a(t) - 6*r(t).
2*t - 7
Let q(z) = 153*z - 6. Let y(n) = 716*n - 29. Calculate -11*q(i) + 2*y(i).
-251*i + 8
Let i be (4 - 29) + 26 - (1 + -6). Let h(w) = 210*w**2 - 35*w + 35. Let u(d) = -35*d**2 + 6*d - 6. Determine i*h(k) + 35*u(k).
35*k**2
Let h(f) = f**2 - f + 1. Let o(q) = 5*q**2 - 11*q + 6. Calculate -3*h(b) + o(b).
2*b**2 - 8*b + 3
Let z(y) = y + 1. Let v(p) = -4*p + 4668593 + 3*p - 4668586. What is v(j) - 4*z(j)?
-5*j + 3
Let i(x) = -15*x**3 + 3*x**2 + x + 1. Suppose -2*f = 49*b - 45*b, -b = -4. Let s(z) = 45*z**3 - 8*z**2 - 2*z - 3. Calculate f*i(w) - 3*s(w).
-15*w**3 - 2*w + 1
Let p(s) = s - 5. Let z(g) = -2*g**3 + 19*g**2 - 26*g + 21. Let d be z(8). Let y be 6/(4/6*-3). Let x(b) = -3. Calculate d*x(m) + y*p(m).
-3*m
Let h(n) = -6*n**2 - 7*n - 6. Let o(b) = -7*b**2 - 8*b - 7. Let g = -5732 + 5737. Give g*o(q) - 6*h(q).
q**2 + 2*q + 1
Let w(h) = 1. Let a = 3094 + -3098. Let f(n) = 3*n + 5. Suppose -3*v + 8 = -2*b + 5, 0 = -3*b. What is a*w(k) + v*f(k)?
3*k + 1
Let m(d) = 8*d**2 - 17*d. Let y(l) = 15 + l - 3*l - 5*l - 2*l. Let o be y( | {
"pile_set_name": "DM Mathematics"
} |
(e) -0.4
a
What is the nearest to 193 in -38/9, -5, 4, 5?
5
Which is the nearest to 2/9? (a) -39 (b) -8/9 (c) -3/8 (d) -5 (e) -5/6
c
Which is the nearest to 1? (a) -74 (b) -2/5 (c) -2/17 (d) 37
c
What is the closest to -20 in -2/5, -2, 4, 3168?
-2
What is the closest to -10885 in 0.1, 3/2, 18, 4?
0.1
Which is the nearest to 0.1? (a) -3/5 (b) -25 (c) -1 (d) -50/17
a
Which is the nearest to -2/11? (a) 35 (b) -1 (c) 1/6 (d) -4/3
c
What is the nearest to -2/11 in -2, -3, -0.056?
-0.056
What is the closest to 4 in 56, 0.08, 5, -4?
5
Which is the nearest to 0? (a) 0.5 (b) 0.1 (c) -78 (d) -1/6
b
What is the nearest to -5 in 17, -4, 0.05?
-4
What is the nearest to 1 in -0.4, 3, -3, -3282, -2/45?
-2/45
What is the closest to 135 in -1/4, 7, 1?
7
Which is the nearest to -2? (a) 0.5 (b) -273 (c) -3097
a
Which is the closest to -0.08? (a) -1/12 (b) -0.6 (c) 0 (d) -0.3 (e) -6
a
Which is the nearest to -1/3? (a) 0.6 (b) -1 (c) -12.2
b
What is the closest to -67 in 3, -0.02, -2, -1/4?
-2
Which is the closest to -10.7? (a) 1 (b) 0 (c) -2 (d) 1/7 (e) 0.2
c
What is the nearest to 0 in 1/24, 4, 346, -3?
1/24
What is the nearest to -5 in 3, -29, 1/4, -4/9?
-4/9
What is the nearest to -0.02 in -2/5, -7, -136?
-2/5
Which is the closest to -2? (a) -2/107 (b) 2/3 (c) 5/3
a
Which is the closest to 1.6? (a) 0.03 (b) 0.1 (c) -2 (d) -2/367 (e) 0.3
e
What is the nearest to 4 in -3, 4, -65, -9?
4
Which is the closest to -143? (a) -0.3 (b) -2/29 (c) -2 (d) -1/3
c
What is the closest to -3 in -5, -10/117, -7?
-5
Which is the nearest to 3174? (a) -0.3 (b) -18 (c) -1
a
Which is the nearest to 6? (a) 3.5 (b) -2 (c) 103
a
Which is the nearest to 1? (a) 2/7 (b) -7/10 (c) 5/11 (d) 0
c
What is the closest to -1/47 in 5, -3/2, -11, 4?
-3/2
What is the closest to 1/3 in 0.06, 44, 1/3, 4/7, 5/2?
1/3
Which is the nearest to 1? (a) 3 (b) 59 (c) -1/3 (d) 2 (e) 18/5
d
Which is the closest to -0.3? (a) 4 (b) 84755 (c) -1
c
What is the closest to -0.3 in -5, 0.5, -1, -40.7, -0.2?
-0.2
Which is the nearest to 0.324? (a) 4/3 (b) -4 (c) 0.1 (d) -2
c
Which is the nearest to 0? (a) 62 (b) 0.5 (c) -4 (d) 0.4
d
What is the closest to -0.1 in 602, 5, -6?
5
What is the nearest to -9 in 1/3, 32, 0.4, -0.03?
-0.03
Which is the closest to -1? (a) 6 (b) -4/873 (c) 0.2
b
Which is the closest to 1.78? (a) 2/63 (b) 4 (c) -2 (d) -0.4
a
What is the nearest to 25 in -1, -2/9, 3/8, -2/81, -2/3?
3/8
What is the nearest to 151 in -5, -1, -2, 5?
5
Which is the closest to -2? (a) 2/121 (b) 0.02 (c) 33
a
Which is the nearest to 1? (a) -0.05 (b) 1/4 (c) -145
b
Which is the nearest to -11? (a) 5/4 (b) 3 (c) 4/19 (d) 606
c
What is the closest to 0 in -0.01, -1/510, 1/5?
-1/510
What is the closest to -3/2 in -4/5, -0.6, -0.3, 3?
-4/5
What is the nearest to -7 in -1, 4, 4/593, -5, -4?
-5
Which is the nearest to 4? (a) 306 (b) 5 (c) 0.18
b
Which is the nearest to -2? (a) 2 (b) 690 (c) 6
a
What is the nearest to -51 in 4/11, -0.01, 2?
-0.01
Which is the nearest to 0.2? (a) -1/17 (b) -7/3 (c) -1/3 (d) -4/7
a
What is the nearest to 1/3 in 0.1, 10.78, -0.05, 4, -2?
0.1
What is the nearest to -920 in 2, -4/3, 0?
-4/3
What is the closest to -0.3 in -1/3, -0.4, 0.3, 25/4?
-1/3
Which is the nearest to -1? (a) 5/4 (b) -5.8 (c) 60
a
What is the nearest to -627 in -4/9, 1/4, 1/11, 0.2?
-4/9
Which is the closest to 0.2? (a) 0.19 (b) -16 (c) 11 (d) 2/21 (e) -1/4
a
What is the closest to -1 in -74, -3, 16, -0.03?
-0.03
Which is the closest to -6? (a) 0.1 (b) 0.2 (c) -3 (d) -3378
c
What is the closest to 1 in 385, -0.6, -10, 5/3?
5/3
What is the closest to 2 in -4, 0.2, 53, -0.1, -3?
0.2
Which is the nearest to 65? (a) -5 (b) -3 (c) 1 (d) -0.105 (e) 0.1
c
Which is the closest to -1/16? (a) 0.2 (b) -5/3 (c) 4/9 (d) 2/11 (e) 1/3
d
Which is the closest to -0.1? (a) 2 (b) -1005 (c) 5 (d) 1 (e) -12/11
e
What is the closest to -33 in -3/4, -1, 13/2?
-1
Which is the closest to -0.7? (a) -5 (b) 0.3 (c) -0.29 (d) 3 (e) -1
e
Which is the nearest to -70.4? (a) -0.2 (b) 3/2 (c) 6 (d) 3
a
Which is the nearest to 0? (a) -2/47 (b) 0.2 (c) 0 (d) 89 (e) -1
c
Which is the nearest to 0.9622? (a) 0.4 (b) 3/2 (c) -2 (d) -1
b
Which is the closest to -17? (a) -5 (b) 4 (c) 66/59 (d) 1
a
What is the closest to 2/5 in 0.006, 1/3, 0, 38?
1/3
Which is the nearest to 1/4? (a) -0.2 (b) 0.1 (c) 3 (d) -46/11
b
What is the nearest to 0 in -1, -2/9, -3/7, -728, -1/10?
-1/10
What is the closest to 0.06 in -0.0428, 1, -2/3?
-0.0428
Which is the nearest to -1? (a) -132 (b) 5 (c) 9 (d) -0.2
d
What is the closest to 3/13 in -3/5, 5, 14, -1.6?
-3/5
Which is the nearest to -1/2? (a) -1 (b) -3 (c) -17 (d) -0.3 (e) 115
d
What is the closest to -2 in -0.65, -0.05, 5, 3/2, -4/3?
-4/3
What is the nearest to -5/3 in -15, -2/5, -5, 52, 1/2?
-2/5
Which is the closest to 2? (a) -3 (b) 2/7 (c) 1 (d) -463
c
What is the nearest to -1 in 5, 1620, -1/4?
-1/4
Which is the nearest to 15? (a) -0.3 (b) 3 (c) 24893
b
Which is the nearest to -1/4? (a) 5 (b) 5945 (c) 3 (d) -0.2 (e) -2/9
e
What is the closest to 0.1 in -1/475, 1/4, -2/17, -2, 6.7?
-1/475
What is the nearest to 1 in -7/17, 0.6, 23?
0.6
What is the closest to -67 in -2, -2/209, -2/7?
-2
What is the nearest to 0.1 in -2, -3, -5, -2/3, 1/242?
1/242
Which is the nearest to 0? (a) -2/1289 (b) 5 (c) 3/5
a
Which is the closest to -0.5? (a) 14/79 (b) 5 (c) 16/11
a
Which is the closest to -0.2? (a) -0.122 (b) -4 (c) -30
a
Which is the nearest to -0.2? (a) 3/13 (b) 4 (c) -1.1 (d) 0.4 (e) 5
a
Which is the closest to -0.3? (a) 74 (b) -5 (c) -0.4 (d) 22/31
c
What is the closest to -2 in -1/5, -3175, -66?
-1/5
What is the closest to 1 in 0.05, -2/65, -2, 1.6, -3?
1.6
What is the nearest to -18 in 0.45, 75, 5?
0.45
Which is the closest to 20.7? (a) 0.2 (b) -5/2 (c) 7
c
What is the nearest to -0.1 in -12, -2/3, 76, -1/4, 0.1?
-1/4
What is the nearest to -0.1 in -0.1, -13432, -0.3, 3?
-0.1
Which is the nearest to -3.1? (a) -32 (b) 7 (c) 5
c
What is the closest to -0.2 in 24748, 2/5, -6?
2/5
What is the nearest to 21 in 1.2, -0.3, 5, 0.3?
5
Which is the closest to -6/5? (a) -1 (b) 0.23 (c) -0.4 (d) -9
a
Which is the nearest to -0.32? (a) -5 (b) -1 (c) -16.4
b
What is the nearest to 22 in 20, -3/17, -5?
20
What is the closest to 0.1 in -1/2, 0.1, 22, 156?
0.1
Which is the nearest to -1/4? (a) 2/5 (b) -8 (c) 1/2 (d) -51/16 (e) 2
a
What is the closest to 0.1902 in 1/10, 360, 2?
1/10
Which is the nearest to 2/7? (a) 0.4 (b) 4 (c) 0 (d) -0.077
a
What is the nearest to -7 in 0.4, 568, 4?
0.4
Which is the nearest to 0.2? (a) -39 (b) -40/3 (c) 0.2
c
Which is the closest to 1/10? (a) -0.4 (b) -8 (c) -1823
a
Which is the closest to -0.19? (a) 3 (b) -0.1 (c) 0.15
b
What is the closest to 14 in -0.6, 199, -0.4?
-0.4
Which is the nearest to 0.1? (a) 97 (b) -3/8 (c) 101 (d) 4/7
d
What is the closest to 0.1 in -18/139, -4, -1/3, 2?
-18/139
What is the closest to -46 in -0.2, -1/2, -3/23, -4, 5?
-4
Which is the closest to 0.1? (a) 1 (b) 0.06 (c) -3 (d) -1/3837
b
What is the closest to 0 in -1/2, -5, -2/4605?
-2/4605
What is the nearest to -18 in -0.4, -2/17, 0.031?
-0.4
Which is the nearest to 8/17? (a) -0.1 (b) -3 (c) 2/11 (d) 1022 (e) -1
c
What is the nearest to 1/2 in -5, 0.2, 4, -0.0066?
0.2
Which is the closest to 8? (a) 1 (b) 4/3 (c) -2.7 (d) 0 (e) -2/5
b
Which is the closest to -31/176? (a) -0.4 (b) 0 (c) -2
b
Which is the closest to 1/116? (a) -2/59 (b) 0 (c) -2/11 (d) -3
b
What is the nearest to 0.52 in 6/5, -5, -2, -10, 4?
6/5
What is the nearest to -2 in 155, 2, 0.03, 3?
0.03
Which is the closest to -4/7? (a) -2/275 (b) 3 (c) 5
a
Which is the nearest to -0.14? (a) 2/3 (b) -0.2 (c) 0.216 (d) 1 (e) 0.3
b
What is the closest to -19 in 64, -3, 3/4, 708?
-3
Which is the closest to 0.07? (a) -0.3 (b) -1/35 (c) -13/24
b
What is the closest to -0.04 in 0.3, -3, 17825, 4, 0.5?
0.3
What is the closest to 3595 in 0, -0.3, -3/7?
0
Which is the closest to 1/4? (a) -0.3 (b) -8 (c) -6 (d) 2/877 (e) 0.3
e
Which is the closest to 2/9? (a) 1 (b) 2/6947 (c) -1/3 (d) -2/9
b
What is the closest to -2/9 | {
"pile_set_name": "DM Mathematics"
} |
12 = h for c.
-2
Let x(n) = -n - 3. Let d be x(-8). Solve 0 = 2*u - d + 11 for u.
-3
Let q(z) = z - 9. Let m be q(10). Solve l - m = -4 for l.
-3
Let x(s) = s**2 - s - 1. Let h be x(-2). Let y = 6 - 4. Let o = h - y. Solve b + o = -2 for b.
-5
Let t = -2 + 6. Let l be -1 + t - (-9 + 6). Solve 0 = -l*c + 2*c - 4 for c.
-1
Let w be 34 - 24 - (5 - 0). Solve 5*g + w + 20 = 0 for g.
-5
Suppose 3*s = -s. Suppose 0 = -s*a - 4*a. Suppose 5*r + 5*u - 35 = a, 2*r - 4*u - 2 = -0*r. Solve r*v = -6 - 19 for v.
-5
Suppose 0 = -5*j - 9 + 34. Suppose -2*i + 3 = -j. Solve 0 = 4*f - 0 + i for f.
-1
Suppose 4*k = -20, -18 = 2*w - 0*k + 4*k. Let l be w + (2 + -3 - 0). Let h be (-10)/(-65) - (100/(-26) - -1). Solve l - h = -3*n for n.
1
Suppose 4*v = -5*j + 68, 2*j - v = -0*v + 22. Solve -5*q + 2*q = j for q.
-4
Let p = 22 + -14. Let w = -3 + p. Let n = w - -8. Solve -3*z = -n + 4 for z.
3
Suppose 0 = -2*t + 3*t - 2. Let j(b) = 2*b - 1. Let h be j(t). Suppose 0 = -4*f + 2*d - h + 15, -2*f + 2*d = -8. Solve 0 = -f*y + 4*y for y.
0
Let z be 3 + 9*(-1)/(-3). Let f = 6 - z. Solve f*s - s - 5 = 0 for s.
-5
Let n be 9 + (-2)/2 - 3. Suppose 0 = 4*k - 2*v + 2, 0*k - 4*k - n*v + 5 = 0. Suppose k = -y - y + 6. Solve -2*z - z + y = 0 for z.
1
Suppose 3*n + h + 8 = 0, 0*h + h + 5 = -2*n. Let v = 0 - n. Suppose v*d - 2*d = 1. Solve 6*x - 5*x - d = 0 for x.
1
Let i = -6 - -8. Let j = 1 + i. Suppose n = j*n - 6. Solve 0 = -n*s - 15 for s.
-5
Let o be (0 + 1)/((-2)/12). Let g = o - -10. Solve 2*k - 3*k - g = 0 for k.
-4
Let r = -105 + 112. Solve -3*x = -r*x for x.
0
Let n(h) = -h**3 + 3*h**2 + 4*h + 5. Suppose o - 9 = -o - u, 4*u - 4 = 0. Let i be n(o). Solve i*l - 29 = -9 for l.
4
Suppose -2*k = k - 60. Suppose -3*s = 12, 0 = -5*d + 4*s + s + 15. Let g = d - -1. Solve 0 = -g*i + 4*i + k for i.
-5
Let c = 12 + -6. Solve -3 = 3*k - c*k for k.
1
Let n be (-5)/(-10) - (-2)/(-4). Solve -v + n = -2 for v.
2
Let a be (-27)/(-4) - 3/(-12). Suppose -u = -1 - a. Solve u*n = 3*n - 20 for n.
-4
Suppose 4*h + x - 17 = 2*x, -4*h + 3*x = -11. Suppose 0 = m - 3*d + 2, -h*m + 0*m + 22 = d. Suppose -o = 2*o. Solve o = m*l + l for l.
0
Suppose 5*g - 5*y = 25, -2*g + 3*y + 4 + 1 = 0. Let d be 6/g*(-10)/(-2). Solve 0 = 7*h - d*h for h.
0
Suppose -7*x = -6*x. Solve -q + 4*q - 12 = x for q.
4
Let c = -4 + 7. Let v(r) = 0 + 0 + r**3 + 0*r - 3 + 5*r - 4*r**2. Let g be v(c). Solve -g*x = -x for x.
0
Let x(r) = -r**3 - 10*r**2 + 25*r + 16. Let b be x(-12). Solve s + b = 6 for s.
2
Let x = 8 - 19. Let w be 204/33 + 2/x. Suppose 0 = -2*f + w*f. Solve -m - 2*m + 9 = f for m.
3
Suppose 2*h - 7 = u, 5*u - h - 2 = 8. Solve 12 = -c - u*c for c.
-3
Suppose -10 = -6*k + 38. Solve -2*b - k = 2 for b.
-5
Let p(r) = 2*r**2 + 10*r - 13. Let q(c) = c**2 + 11*c - 14. Let b(l) = -2*p(l) + 3*q(l). Let z be b(11). Solve -3*k + z = -0*k for k.
2
Let g(v) = 5*v. Let p be g(1). Let r(y) = 2*y**2 + y - 2. Let m be r(-2). Solve m*s + 3 = -p for s.
-2
Let t(o) = o**2 - 2*o. Let p be t(4). Let z = p - 5. Suppose -3*r = 5*i - 35, -z*i + r = -2*r + 3. Solve i*w + 5 = 1 for w.
-1
Suppose -24 = -3*o - 9*o. Suppose -2*x = 3*x - 5. Solve -o*q = x - 3 for q.
1
Let f be 8 + (-7 - 1)/2. Solve 0*s - f*s + 20 = 0 for s.
5
Suppose 3*h + 13 = -5*s - 0*s, 2*h - 2 = 2*s. Let t(z) = z**3 + z**2 + 17. Let g be t(0). Let u = g + h. Solve 7*r - u = 3*r for r.
4
Let d(r) = r**3 - 2*r**2 + 1. Let c be d(1). Solve c*v = -3*v for v.
0
Let h(i) = -i**2 + 7*i + 6. Let y be h(5). Suppose 0 = d + 3, 2*t + 4*d - 7*d - 29 = 0. Suppose 2*n = -0 + t. Solve -n*x + 1 = y for x.
-3
Let o be 8 - (-1 - (4 - 9)). Let s(w) = 2*w**2 + w. Let f be s(1). Suppose f*x - 3 = -2*g, 3*g + x = -o + 12. Solve 0 = -g*d - 0*d - 15 for d.
-5
Suppose -12*t + 33 = 5*o - 14*t, -4*o + 24 = -t. Solve -o*i + 8 - 3 = 0 for i.
1
Suppose p = 4*l + 2*p - 14, -2*l + 14 = 4*p. Solve 2*y = l*y for y.
0
Let q be 0 - 2 - (2 - -6). Let g = q + 13. Solve -g + 8 = -h for h.
-5
Let d(j) = 2*j - 10. Let t be d(7). Suppose t = g - 0. Solve 2*k + g = -6 for k.
-5
Suppose -3*o + 22 + 27 = -5*n, -4 = 2*n + 4*o. Let g be 106/(-12) - 3/18. Let r be (-4)/n - g/2. Solve 0 = -t + r*t - 4 for t.
1
Let v = 40 + -10. Let l be 1/3*v/5. Suppose l = 5*q - 3*q, -4*q = -s + 1. Solve s*o = 3*o + 6 for o.
3
Let j be (7/(63/30))/(1/3). Solve 3*q = 5*q - j for q.
5
Suppose 0 = i - 3*i + 28. Solve -5 = -3*y - i for y.
-3
Suppose 4*x + 20 = -x. Let a be (1 + x + 3)/1. Solve 3*v + a = 3 for v.
1
Suppose 0 = 2*y - y. Suppose -h - x = -5, 3*h - 4*x = 1 - y. Solve -h*v = -v - 2 for v.
1
Suppose -4*a = -3*t - 112 - 78, -2*a + 3*t = -98. Let k = -20 + 36. Suppose -2*c = 5*d + k, 5*c + 16 = 5*d + a. Solve 0 = h + 3 - c for h.
-1
Let v(x) = x**3 + 9*x**2 + 3. Let d be v(-9). Solve d*c + c = 4 for c.
1
Suppose 0 = 4*y + 19 - 75. Suppose -y = -4*g + 2, -o - g = -6. Solve h + o = -1 for h.
-3
Suppose 2*s - 4*i = 30, -5*i - 38 = -2*s - 5. Solve -z + s = -4*z for z.
-3
Let o = 4 - 2. Suppose -m - 18 = o*m. Let v = m + 7. Solve -h = -2*h + v for h.
1
Suppose p = 13 - 11. Solve 0 = u - 0 - p for u.
2
Suppose -2*r - 3*r = 15. Let d be r/6 - 25/(-10). Solve -h = d + 1 for h.
-3
Let h = -15 + 17. Solve 0 = h*r - 4 + 2 for r.
1
Let m(p) = p**3 - p**2 + 3*p - 3. Let o be m(2). Let h = o + -5. Solve h*t = -1 + 7 for t.
3
Suppose -2 - 10 = -3*q. Suppose -q*x - 10 = -26. Solve -15 = x*j - 9*j for j.
3
Suppose p = -4*x + 7, -5*p + 2*x + 16 = 3*x. Solve 20 = 2*o + p*o for o.
4
Let u = 11 + -9. Solve 0*v - 10 = -u*v for v.
5
Let w(a) = a**3 - a**2 + a - 1. Let t be w(0). Let o be 2 - -1 - 0/t. Solve 0 = -4*q + o + 13 for q.
4
Let f(b) be the second derivative of -b**5/20 + b**4/3 - b**3/6 - 3*b**2/2 - 6*b. Let n be f(3). Solve n*t + t - 8 = 0 for t.
2
Suppose 2*b = -2*b - 40. Let p be 9/15 + 6/b. Solve 3*w = -9 - p for w.
-3
Let i(y) = y**2 + 7*y - 3. Let h be i(-8). Solve -2*f - h = 3*f for f.
-1
Let g(m) = 2 - 1 - 2 + 3*m. Let x be g(1). Solve 1 + x = -i for i.
-3
Suppose 5*l - 3 = q, -l - q - 1 = -4. Solve 0 = -k + l for k.
1
Suppose -3*n - 12 = -3*y, 0 = 3*y - 0*y - 2*n - 12. Suppose y = t + 5. Let x be -12*((-3)/(-9) + t). Solve -m - m = -x for m.
4
Let s = -2 + 6. Suppose -2 = 2*m - 28. Suppose 5*i = l - 16, 2*l - s*i - m = 1. Solve -7 = 4*o + l for o.
-2
Let u be -1*(-3 + 1)/((-4)/(-2)). Solve u = -0*w - w for w.
-1
Let j be 0 + (-2 - (4 + -13 + 3)). Solve -s = -5*s + j for s.
1
Suppose 4 = 4*v - 6*v. Let c be v/(-6) + 4/6. Let b = c + 0. Solve -b = 3*g + 5 for g.
-2
Let k be (-8)/(-44) + (-106)/(-22). Let v(p) = -p**2 + 7*p - 4. Let u be v(k). Solve -5*b + 14 = -u for b.
4
Suppose -2*x = -2*g - 6, 3*x - 9*g - 9 = -4*g. Suppose 0 = -x*o - 11 - 4. Let h = o + 5. Solve -4 = -h*t - 2*t for t.
2
Let u be ((-2)/(-6))/((-2)/(-42)). Let b = u - 5. Solve -b*t + 2 = -4 for t.
3
Let c be (-4)/(60/(-9))*-5. Let a be (-30)/(-45) - 4/c. Solve -3*b + a = -2*b for b.
2
Suppose 0 = -0*k + 4*k. Solve k = 2*b - 2 for b.
1
Suppose 10 = 2*c, 3*c - 5*c = -3*b - 4. Solve -b*v - 4 = 2 for v.
-3
Suppose -9*w + 4*w = 0. Solve 0 = 4*h - 8 - w for h.
2
Suppose 23 = 5*v - 4*o, 6*v - 2*v = -3*o + 6. Let z(m) = 7*m + 8. Let r(q) = -q. Let n(b) = 6*r(b) + z(b). Let j be n(0). Solve v*t - 25 = j*t for t.
-5
Suppose 28 = 4*m + 3*t, -4*t - t - 14 = -2*m. Let q = m - 4. Let h(z) = z**2 + 4*z + 2. Let b be h(-4). Solve q = -b*s - s for s.
-1
Suppose -4*l + 4 = -5*m - 30, -3*l = m - 16. Solve -4*h - 10 = -l*h for h.
5
Suppose 0 = 2*u + u + 2*g - 56, u + g - 18 = 0. Solve -8*a + 3*a + u = 0 for a.
4
Let n = -7 - -11. Let x = n + 2. Let r be 1/4*x*2. Solve -t - 12 = r*t for t.
-3
Let o be (5 + 65/(-10))/(1/(-6)). Solve -3*z + 3 = o for z.
-2
Suppose 0 = 3*n - 3*y - 2*y - 5, 5*y = -3*n - 5. Solve 9 = -n*a + 3*a for a.
3
Let g(o) = o**2 - 2*o + 3. Let f be g(0). Solve 0 = -6*a + f*a for a.
0
Let c = 46 + -44. Solve -c = -d + 3 for d.
5
Let t(z) = 2*z - 1. Let j be t(-2). Let g(w) = -w**2 + 2. Let s(a) = a**2 + a - 3. Let n(l) = j*s(l) - 4*g(l). Let h be n(-6). Solve f - h - 2 = 0 for f.
3
Suppose 2*m + 2 - 12 = 0. Let s(w) = w - 2. Let r be s(m). Let l be (r/6)/(2/16). Solve -2*f = 2*f + l for f.
-1
Let x = 46 - 43. Solve 6*s + 6 = x*s for s.
-2
Suppose -h - 22 = -3*p - 5*h, -7 = -2*p + 5*h. Let a = 10 - p. Solve -a*l + 10 - 2 = 0 for l.
2
Let c = -4 + 12. Solve 2*i + c = -0* | {
"pile_set_name": "DM Mathematics"
} |
ue of 6/(-3)*(-1)/2?
1
Calculate 3*(100/15)/(-4).
-5
(-2)/(18/75*(-80)/48)
5
What is (-4)/(-30)*(-20)/(-4)*-6?
-4
What is ((-440)/176)/(2/(-4))?
5
What is ((-12)/45)/(10/25)?
-2/3
What is ((-48)/9)/(-3*(-28)/(-18))?
8/7
((-1)/4)/(177/(-236))
1/3
What is the value of 14*((-50)/20)/5?
-7
1005/(-804)*(-3)/10
3/8
Evaluate (-432)/756*(-1)/(-2).
-2/7
What is 1/2*9*(-6)/9?
-3
What is the value of ((-2)/16)/(2/(1*4))?
-1/4
Evaluate (-6)/5*30/12.
-3
What is ((-16)/(-5))/4*5?
4
(-28)/(-30)*550/220
7/3
Evaluate 9/3*8/6.
4
What is the value of (-11)/11*16/40?
-2/5
Evaluate (6/10)/((8/(-5))/(-8)).
3
What is the value of 3/((-9)/2)*(-60)/160?
1/4
What is the value of (-5)/(-9)*(-4)/(-40)*-4?
-2/9
27/(-3)*4/(-18)
2
((-20)/12)/(6/(-36)*5)
2
Calculate (96/12)/24*9.
3
Evaluate 14*-5*(-5)/(-525)*12.
-8
Calculate ((-2)/(-10))/(3*(-7)/35).
-1/3
Calculate ((-20)/50)/(14/(-105)*6).
1/2
What is the value of (-11)/(-88)*3*(-2)/3?
-1/4
What is ((0/(-3))/1)/1?
0
Calculate (-1)/((3/(-2))/((-12)/32)).
-1/4
Calculate -12*6/(-324)*(-6)/(-1).
4/3
What is the value of (((-78)/(-54))/(-13))/((-1)/3)?
1/3
What is 4*(1/10)/(2/2)?
2/5
Evaluate 3/(((-312)/(-13))/8).
1
Evaluate (3*14/(-14))/(1/1).
-3
Calculate (6/(-15))/(1276/(-220)).
2/29
Evaluate (-80)/(-180)*1/((-6)/9).
-2/3
(((-27)/3)/(-36))/((-27)/(-48))
4/9
(12/20)/((-27)/30)
-2/3
Calculate (32/80)/((-8)/(-6)).
3/10
Evaluate (((-392)/(-21))/7)/(4/(-12)).
-8
What is the value of ((-14)/(-280))/(-1*6/15)?
-1/8
Evaluate (40/175)/((-11)/(220/8)).
-4/7
What is the value of -5*54/(-60)*(-2)/(-3)?
3
What is ((-48)/(-840))/(2/10)?
2/7
Calculate (-2)/3*5/2*-3.
5
What is 3/5*(-280)/504?
-1/3
Calculate (1/(-3))/(((-891)/18)/(-11)).
-2/27
What is the value of (-2)/14*42/(-36)?
1/6
((374/(-44))/(-17))/((-14)/24)
-6/7
What is the value of (-8)/(-36)*3*-2?
-4/3
What is (-5)/(2*(-7)/(-14))?
-5
Evaluate (752/(-940))/((-24)/50).
5/3
(((-56)/(-42))/(-1))/20
-1/15
Evaluate 1/(7*3/(-189)).
-9
What is the value of (-11)/(-66)*(-4)/(2/1)?
-1/3
What is 2/5*5*(-48)/84?
-8/7
Evaluate (-1778)/381*1*6/20.
-7/5
Calculate 9/(-8)*66/(-99).
3/4
-1*1*9/63
-1/7
What is 5*1*7/(-7)?
-5
(78/(-416))/((-9)/8)
1/6
What is the value of -1*6/((-6)/(-1))?
-1
Calculate 5/(25/(-2))*765/(-51).
6
What is 12/18*(-2)/(-6)*-3?
-2/3
Calculate ((-8)/14)/((-23)/((-161)/6)).
-2/3
Evaluate (3*(-12)/54)/((-10)/6).
2/5
What is ((-16)/(-500))/((-7)/70*-4)?
2/25
What is (9/(-54)*6/4)/1?
-1/4
What is the value of (2/5)/(27/(-15))?
-2/9
(-2)/((36/(-24))/((-3)/4))
-1
What is (-24)/14*-12*24/864?
4/7
Calculate 3*1*8/(-108).
-2/9
What is ((-12)/(-30))/(((-36)/(-5))/3)?
1/6
Evaluate (4/(-10))/(35*2/50).
-2/7
Calculate ((-8)/6)/((-43)/(-258)).
-8
Calculate (-2)/(-12)*59/(531/594).
11
What is (0/4)/((-30)/5)?
0
Calculate (0/35)/((6/1)/(-2)).
0
Evaluate ((-5)/3)/((-29)/(-87)).
-5
Calculate 5/((-80)/(-24))*8/6.
2
Calculate (-34)/(-119)*(-1)/(8/7).
-1/4
(-45)/27*(-27)/30
3/2
Evaluate ((-12)/(-96)*8)/(12/(-3)).
-1/4
What is the value of ((-14)/14)/((-3)/12*-34)?
-2/17
Evaluate 195/(-234)*-1*(-2)/(-1).
5/3
Evaluate 8/2*64/128.
2
(-1)/4*-8*(-2)/8
-1/2
1/2*((-48)/52)/(-3)
2/13
8/12*3/(-19)
-2/19
What is the value of 2*(-4)/80*2?
-1/5
What is the value of (-4*3/(-168)*-2)/(-1)?
1/7
((-56)/(-16))/((-5)/10)
-7
Calculate 4*3/8*8/(-30).
-2/5
5/((220/8)/11)*-1
-2
What is the value of ((-8)/((-13)/(-13)))/1?
-8
What is the value of 72/(-702)*9/6?
-2/13
What is (6/12)/((-14)/(-12))?
3/7
Calculate 42/(-4)*7/(-294)*6.
3/2
Evaluate ((-3)/((-207)/(-4)))/(2/3).
-2/23
What is (-4*25/(-70))/(10/(-35))?
-5
What is (-24)/(-84)*(-7)/9?
-2/9
What is the value of (-16)/(-12)*24*(-12)/(-5568)?
2/29
(-2)/5*-5*2/24
1/6
Calculate ((-1)/(-1))/((-2)/(-10)).
5
What is the value of (-90)/200*(-50)/(-30)?
-3/4
(((-34)/(-34))/((-1)/7))/1
-7
Calculate (266/266)/(1/(-8)*-1).
8
Calculate -5*(52/(-13))/(-1*5).
-4
2/(4/20*22/11)
5
(-14)/(-294)*14*(-1)/(-3)
2/9
Evaluate ((-44)/6)/(-11)*9.
6
What is the value of 5/(15/(-9))*72/378?
-4/7
Evaluate (-36)/16*-2*16/8.
9
What is the value of 0/((2/6)/(2/6))?
0
What is (6/18)/(((-9)/(-3))/(-3))?
-1/3
Evaluate (81/9)/(-9)*3.
-3
Calculate 2/(-5)*1*(-2)/(-2).
-2/5
What is 1*6/(-72)*-4*0?
0
What is the value of -12*(27/(-6))/(-9)?
-6
Evaluate ((-5)/(20/2))/(9/(-36)).
2
What is 8/(-12)*(-105)/14?
5
Calculate ((69/6)/23)/((-2)/12).
-3
Evaluate (7/70*35)/14.
1/4
Calculate (-1)/((-2)/(-12))*(-10)/75.
4/5
Calculate 1*(-12)/((-12)/3).
3
1/(1/(1/(-2)))
-1/2
What is ((-13)/26)/((-11)/154)?
7
What is the value of ((-8)/(-24))/((-20)/6)?
-1/10
What is the value of (7/119)/(-1*(-3)/6)?
2/17
(2016/384)/(-1*3)
-7/4
What is the value of ((-2)/(-5))/((-232)/145)?
-1/4
What is 9/(-1)*(-8)/24?
3
What is the value of (1/2)/((-6)/12)?
-1
Calculate 16/3*((-133)/19)/28.
-4/3
What is the value of 6*3/9*2/(-16)?
-1/4
What is 4/6*((-60)/(-32))/5?
1/4
(-696)/(-116)*14/(-12)
-7
Calculate (9/(-15))/((-32)/320).
6
What is ((-440)/(-396))/((-10)/(-12))?
4/3
What is the value of (-2)/4*(-328)/(-1394)?
-2/17
What is the value of ((-6)/36*-6)/(-3)?
-1/3
6/(-27)*3/(-4)*-2
-1/3
What is ((78/(-12))/(-13))/(1/(-1))?
-1/2
Evaluate ((-30)/24)/(4/(-16)).
5
What is (-72)/198*1/(-2)?
2/11
Calculate ((-121)/22)/11*8.
-4
What is ((-126)/1092)/((-2)/((-8)/3))?
-2/13
Calculate 3*(-8)/12*(-3)/2.
3
Evaluate (-420)/24*(-8)/28.
5
What is (3/14*2)/((-12)/42)?
-3/2
What is 0/(((-1)/4)/((-6)/48))?
0
Calculate 5/(-20)*-10*2.
5
What is the value of (-192)/((-176)/(-11))*(-1)/(-3)?
-4
What is the value of ((-474)/(-29625))/(2/(-10))?
-2/25
What is the value of ((-24)/(-32))/(9/2)?
1/6
What is (4/14)/(44/14)?
1/11
Evaluate 15/10*112/42.
4
(((-25)/(-55))/(-5))/((-3)/11)
1/3
(-1)/3*3/4
-1/4
Evaluate (-90)/(-5)*5/(-15).
-6
2/((-6)/(-2)*(-8)/60)
-5
What is the value of (-21)/(-7)*((-2)/1)/6?
-1
What is -3*(12/1)/(-12)?
3
What is 6*9/(-216)*(-32)/10?
4/5
Evaluate ((-46)/(-69))/((4/6)/(-2)).
-2
Calculate (6/6)/(-5*(-4)/140).
7
Calculate (-3)/((-3)/2)*4/2.
4
What is the value of 0/(-20)*(-1)/(-3)?
0
What is (32/2)/(((-76)/19)/2)?
-8
What is the value of (12/14)/(24/(-12))?
-3/7
Evaluate 0/(((-126)/2)/9).
0
Evaluate ((-135)/315)/((1/1)/(-7)).
3
Evaluate (3/5)/((-726)/220).
-2/11
What is the value of ((-3)/6)/((-129)/(-172))?
-2/3
What is 5*(-2)/(-10)*-3?
-3
((-3)/6)/(4/(6*-4))
3
What is the value of ((-2)/(1*-10))/(85/255)?
3/5
What is ((-24)/(-288))/(15/24)?
2/15
What is the value of (4/(-6)*21/14)/1?
-1
(-2)/4*54/(-36)
3/4
Evaluate ((-12)/(-162)*-6)/(-2).
2/9
What is (-152)/38*2/16*6?
-3
What is the value of (-6)/(-15)*10/2?
2
(-2)/(((-42)/(-12))/7)
-4
What is the value of (1/(-5))/(16/(-10))?
1/8
Calculate ((11/(-3))/(-11))/(-1).
-1/3
Calculate ((150/(-45))/(-2))/((-2)/6).
-5
Calculate 154/7623*(-54)/(-2).
6/11
Calculate 5/1*(-1)/((-14)/(-4)).
-10/7
Evaluate 13/130*32/8.
2/5
Calculate ((-450)/27)/(-10)*2/5.
2/3
What is (665/(-266))/(10/(-24))?
6
(-28)/28*5*4/(-4)
5
Evaluate (3/12)/(9/(-4)*1).
-1/9
((-7)/14)/(2/8)
-2
Evaluate 12*6/(-48)*-4*-1.
-6
What is the value of 2/((3/2)/(15/(-4)))?
-5
Calculate ((-14)/(-42))/((-2)/(-6)).
1
Evaluate ((-4)/(-6))/(6/72*8).
1
Calculate 0/6*(14/4)/(-7).
0
Calculate (-9)/(-3)*(-2)/(30/5).
-1
What is the value of (2/(-4)*4/4)/(-2)?
1/4
6/2*(-8)/((-48)/(-2))
-1
(-1)/((-5)/5)*-5
-5
Evaluate (2/5)/((-64)/40).
-1/4
What is 2/4*(-54)/9*2?
-6
What is the value of 4/18*(-6)/4?
-1/3
Evaluate (14/35)/((-12)/10).
-1/3
Evaluate ((-58)/232)/(1/(-10)*1).
5/2
Evaluate (99/55)/(9/(-30)).
-6
What is 60/(-75)*(-20)/64?
1/4
What is the value of (2/(-4))/(21/(-84))?
2
Evaluate (-1)/((-5)/20*14).
2/7
What is (-4)/(-70)*(-182)/(-26)*-5?
-2
Evaluate ((-16)/6)/(36/6).
-4/9
What is (-12*4/(-16))/1?
3
What is the value of (-287)/369*((-4)/(-14))/1?
-2/9
What is 1/((-1)/((-54)/(-30)*5))?
-9
Calculate 4*(-9)/(-144)*-20.
-5
What is the value of -3*14/21*1/(-8)?
1/4
What is ((-4)/(-8)*-1*-2)/1?
1
What is the value of ((-1)/((-2)/2))/((-114)/(-76))?
2/3
7*(24/4)/(-18)*-3
7
2*(-5)/((-130)/13)
1
What is ((-4)/90)/((-8)/(880/(-11)))?
-4/9
(-14)/(-70)*-18*5/3
-6
What is the value of (1/(7/7))/(10/(-6))?
-3/5
What is ((49/7)/(-7))/((-4)/1)?
1/4
Evaluate (-10)/(-4)*-10*12/(-1350).
2/9
Evaluate 6*(-2)/(-2)*2/4.
3
((1/(-2))/1)/(7/(-4))
2/7
Evaluate 12/(-18)*(-6)/4.
1
What is ((-20)/(-6))/1*24/20?
4
Calculate (3/((-252)/(-8)))/(10/60).
4/7
Calculate (-10)/( | {
"pile_set_name": "DM Mathematics"
} |
Let z be 188/16 + 3/12. Suppose -11*b - 307 = -z*b. Is b prime?
True
Suppose 20317 = 11*f - 451. Suppose 1221 = s - f. Is s a prime number?
True
Suppose -4*q + 0*q = -4*l + 4412, -l + 2*q + 1105 = 0. Let h = l - 599. Is h a composite number?
True
Let g(s) = -s**3 - 9*s**2 + 14*s + 16. Let p be g(-10). Let l = 93 + p. Is l a prime number?
False
Let b be -1*1 - (-65)/(-5). Let z be (-6)/21 + (-2804)/b. Let q = z + 57. Is q a composite number?
False
Let c = 79 + -81. Is ((-1039)/c - 0)*(-29 - -31) a prime number?
True
Let i(s) = s**3 + 3*s**2 - s + 3. Let c be i(-3). Suppose 5*l - 3*j - 259 = 0, 0 = 5*l - j + c*j - 275. Is l a composite number?
False
Suppose 2*y + 2*h + h - 6 = 0, 0 = -y - 4*h + 8. Suppose y = m - 808 - 553. Is m composite?
False
Suppose -y = -5*i + 303591, 301339 + 2268 = 5*i + 3*y. Is i composite?
False
Let r(y) = -y**3 - 7*y**2 + 2*y - 4. Let q be r(-7). Is -6 + (-111)/q - (-185)/6 composite?
False
Let t(f) = 8 - 7*f - 3 - 5*f + 0*f. Is t(-6) prime?
False
Suppose 0 = 5*w + 2*a + 10, -4*w = -w - 3*a - 15. Suppose -3*l - 502 = -0*g - g, w = 5*g - 2*l - 2523. Is g a composite number?
True
Let t(a) = a**2 - 7*a - 3. Let h be t(8). Suppose 6*n + 2712 = 4*u + 2*n, 4*u = -h*n + 2667. Is u a prime number?
True
Let z = -1497 - -5888. Is z prime?
True
Suppose 0*y + 5*y - 75 = 0. Suppose 7*s - 3*s + 2*o - 254 = 0, 0 = -3*s - o + 189. Let b = y + s. Is b prime?
False
Let a(p) = 4*p**2 + 2*p + 1. Let r be a(-1). Is (0 - -3) + 115 + r a prime number?
False
Suppose 13 = -g + 4*j, g - 2*j = -0*j - 7. Is 122/(g + 2) + 1 a composite number?
True
Let w(u) = -u - 3. Let q be w(-6). Let i(z) be the third derivative of 13*z**5/30 - z**4/6 - z**3/6 - 5*z**2 - z. Is i(q) a composite number?
True
Let s be 3/((4 + -5)/(-9)). Let k be 6/27 - 2166/s. Let m = -1 - k. Is m composite?
False
Suppose -3*z + 1541 = -817. Suppose -y - 2*y = -z. Is y composite?
True
Let t be 948*(2/(-8) - -2). Suppose -4*s + s = -t. Is s prime?
False
Let t = -4407 + 11416. Is t a prime number?
False
Let s = 22140 + -3193. Is s a prime number?
True
Let h(z) = -3*z**3 + 11*z**2 + 8*z + 81. Is h(-14) a prime number?
True
Let m = -82 + 563. Is m prime?
False
Let q = -3 + 3. Suppose q = -m - 1 + 5, 3*s - 919 = -4*m. Is s a prime number?
False
Let g(m) = 469*m - 7. Let y be g(-2). Suppose -3*a + 7354 = 4*l, -a + 5*a - 9852 = 4*l. Let o = a + y. Is o prime?
False
Suppose -4*d + 19 = -r, r = -r - 6. Suppose -d*w + 3394 = 1046. Is w composite?
False
Is 4/(-3)*(-13875)/10 + -3 a prime number?
True
Suppose -2*d - 55*v + 57*v = -131198, -2*v = 0. Is d a composite number?
False
Let v(p) = -p**2 + 11*p + 36. Let n be v(14). Is 12/(-36) - 1076/n composite?
False
Suppose 0*j + 3*d + 10065 = 3*j, -d - 16767 = -5*j. Is j composite?
True
Let o(p) = 1171*p - 12. Let f be o(3). Suppose -3*r + f = 6*r. Is r composite?
False
Let v(h) = 584*h**2 - 27*h + 48. Is v(5) a composite number?
True
Is -5 + 5 + 1599 + 4 a prime number?
False
Let s(c) = -c**2 + 4*c + 118. Let g be s(-10). Suppose 19 = -r + 88. Let h = r - g. Is h composite?
True
Let a be 1 + -1 - (1 + 3). Let o be 2/4 + (-2)/a. Is 213*(8/(-12) + o) composite?
False
Suppose -20*h = 2*h - 938498. Is h composite?
True
Let g(j) = -255*j**3 - j**2 - 3*j + 17. Is g(-4) a composite number?
False
Let f be (-64)/((-6)/(-3)) + 3. Let y = f + 50. Suppose -5*w - 5*v = -175, -1 = -5*v - y. Is w prime?
False
Let p = 52612 + -29370. Is p composite?
True
Let q = -273 + 170. Let g = q + 484. Is g composite?
True
Suppose 0 = -2*m + 4*s + 3 + 29, 20 = 5*m + 2*s. Suppose 11*g + m*g = 1139. Is g prime?
True
Let l(r) = 12*r - 3. Let p be l(1). Let x(a) = 2*a**3 - 14*a + 8. Let m be x(p). Suppose -4*j + m + 176 = 0. Is j composite?
False
Suppose -3*w + w + 17 = b, 4*b - 26 = -w. Is 1577 + -4 + w + 0 prime?
True
Is ((-16)/4)/(36/(-182907)) a prime number?
True
Let r(c) = 3809*c**2 + 13*c + 23. Is r(-2) prime?
True
Let m(r) = 9*r**3 + 5*r**2 - 6*r + 17. Let z(i) = -17*i**3 - 10*i**2 + 13*i - 33. Let f(w) = 11*m(w) + 6*z(w). Is f(-7) a composite number?
True
Let b(f) be the third derivative of -f**4/8 - 11*f**3/6 + 6*f**2. Let p be b(-5). Suppose k - 1583 = -p*j, -9 = -4*k + 3. Is j a composite number?
True
Is (221/(-51))/((-5)/255) a composite number?
True
Is 3415/(4 + -5 + 2) + -8 prime?
True
Let f(p) be the first derivative of 5*p**3 + 9*p**2/2 - 23*p + 21. Is f(-8) a composite number?
True
Let c be ((-1006)/6)/(2/36). Is (-1 - -2) + 7/((-21)/c) composite?
True
Suppose 4 + 2 = 3*p. Suppose -4*h + 822 - p = 0. Is h a prime number?
False
Suppose -3 - 9 = -4*t, 2*f = -4*t + 22. Let d(n) = 55*n + 2. Let m be d(f). Suppose -8 = -5*h + m. Is h a prime number?
False
Let s(v) = -2*v**2 - 10 - 17*v + v**3 - 2*v**2 - 9*v**2. Let i be (-5)/((-5)/(-3)) - -18. Is s(i) a prime number?
False
Let i(v) = -109*v - 84. Is i(-11) composite?
True
Suppose -5*p + 416 = h, -p - 20 = 3*p. Suppose 3*b - h = -3*d, -2*b = -4*d - 212 - 94. Is b a composite number?
False
Is ((-1)/((-24)/5442))/(1/4) prime?
True
Let f be (-2 + 0)*570/(-12). Let y = f - -5. Let p = y + -17. Is p prime?
True
Is (-224)/(-32) - -25*279 a composite number?
True
Let a = 3892 + -2185. Is a a composite number?
True
Suppose 0*v - 14 = -2*v. Suppose 2*d - 2*o - 4 - 12 = 0, -13 = -d + 2*o. Suppose -x + 121 = -r, -v*x + 484 = -d*x + 2*r. Is x a composite number?
True
Suppose 5*h = h - 3180. Let y = h - -1352. Is y composite?
False
Let n(f) = -15*f - 2. Let c be n(-2). Suppose u - d = -73, -d - c = 2*u + 112. Is (-2)/2 - (5 + u) prime?
False
Let f = -76984 - -129859. Is 4/(-14) - f/(-63) a prime number?
True
Let y = 24 - 40. Let p be ((-6)/(-4))/(6/y). Let f(c) = -2*c**3 - 3*c**2 - c + 5. Is f(p) a composite number?
False
Suppose -261*x + 273*x - 790692 = 0. Is x a composite number?
True
Suppose d = 2*d - 350. Suppose 0 = -2*z + d + 20. Let j = 574 - z. Is j composite?
False
Let q = -2953 + 4166. Is q prime?
True
Let i = -70 - 9. Let j = i + 139. Let v = j + -37. Is v prime?
True
Suppose -x - 4 = 0, -x = 2*y - 4*y + 28. Let l(r) = 403*r + 1. Is l(y) composite?
True
Let c(j) = 419*j - 6. Let z be c(-8). Let i = z - -1852. Is (-4)/6 - i/18 prime?
True
Suppose 3*o - 657 = 2*o. Suppose 4*w - o - 1787 = 0. Let k = w - 364. Is k composite?
True
Is 10445 + 32/(-8) + 0 prime?
False
Let t(r) = 0*r + 9*r + 5*r**2 + 1 + 7*r**2. Suppose -n - 2*n - 18 = 0. Is t(n) a prime number?
True
Suppose 0 = -2*v + 4*u - 6, 3*v - u - 6 = -0*u. Suppose -3*x - 26 = -a, 4*x + 13 = -0*a - v*a. Is -12*1*x/4 a prime number?
False
Let c(i) = -i**3 + 17*i**2 + 13*i + 35. Is c(16) prime?
True
Let c(u) = 354*u**2 - 9*u + 41. Is c(4) a prime number?
True
Is (-6 - 104/(-16))*11746 prime?
False
Let w be (5 - 2)*(-1)/(5/(-5210)). Is w*1*14/28 a composite number?
True
Suppose y - 3*g = -209 + 1544, -3*g + 2652 = 2*y. Let r = y - -308. Is r a prime number?
True
Let d(l) = 1900*l - 7. Is d(2) composite?
False
Let c = 126 - 125. Let m be ((-8)/6)/2*3. Is ((-47)/m)/(c/2) a composite number?
False
Let j = 72 + -52. Suppose 0 = 27*s - j*s - 2233. Is s a prime number?
False
Is 2/(-3 - (-33)/9) + 1264 composite?
True
Let k(b) = 208*b + 12. Let s be k(6). Suppose s = 5*l + z, 0*z = 5*l - 5*z - 1230. Is l composite?
False
Suppose a + 21*j - 11107 = 16*j, 11147 = a - 5*j. Is a a composite number?
True
Suppose 6*m = 7*m - 4035. Suppose -71*k + 74*k - m = 0. Is k a prime number?
False
Let b(u) = 5*u**2 + 24 - 13 + u + 12*u**2 + 3*u**2. Is b(-8) a prime number?
True
Let x be 174/4*18 + -20 + 17. Is x - (5 - 5 - 1) composite?
True
Let t = 587 - 235. Suppose -t = -3*z + 407. Is z prime?
False
Suppose -6*l + 6423 = -141135. Is l a prime number?
True
Let s(x) be the second derivative of -917*x**6/120 + x**5/60 + x**4/12 + x**3/6 - 2*x**2 - 4*x. Let o(h) be the first derivative of s(h). Is o(-1) composite?
True
Suppose -5 = -5*j + 5*y, -4*y + 0 = -j - 2. Let i(r) = 7*r - 19. Let m be i(3). Suppose l - j*z - 79 = 23, 8 = -m*z. Is l composite?
True
Let p be 4 + ((-4)/1)/2. Suppose 2*c + 639 = y, 2*c + 1278 = p*y + c. Suppose -1085 = -4*g + y. Is g composite?
False
Suppose -4*i + k + 15287 = 0, -10*k = -11*k - 3. Is i a composite number?
False
Let p be 1*6*(-46)/4. Let r = -127 - p. Is r*(-2)/8*10 a composite number?
True
Suppose d + 2*v - 437 = 0, 3*v + 1347 = 6*d - 3*d. Is d a pri | {
"pile_set_name": "DM Mathematics"
} |
.6 - 5. Let o = p - -0.1. What is the second biggest value in -1/11, l, o, -3/5?
o
Let x = 0.0335544 + 1.6664456. Let f be -2 + (-18)/(-5) + -2. Which is the second biggest value? (a) -3 (b) f (c) x
b
Suppose 20*f = -228 - 92. Let p = 65/4 + f. Which is the smallest value? (a) p (b) 8/13 (c) -3
c
Let g be -2 + (0 - (-40)/18). Let u(k) = 128*k**2 + 7*k - 51. Let v be u(4). Let d be 90/v*(-12 - -2). What is the third biggest value in 0.03, d, 3/7, g?
0.03
Let i = -328.0441 - -0.0441. Let q = i - -332. What is the second biggest value in -0.2, q, -1?
-0.2
Let x = 14/387 + 8/43. Let m = -1.2 - 0.8. Which is the second smallest value? (a) -0.25 (b) m (c) 1/6 (d) x
a
Let t be (77/121 - 1)/(-2). Which is the smallest value? (a) t (b) -6 (c) -5 (d) -0.1 (e) -1/5
b
Let f = -3 + 2. Let r = 3384.58 - 3385.08. Let q = 0.39 + -0.01. Which is the smallest value? (a) q (b) r (c) f
c
Let z = 268.9604 - -0.0396. Let u = z + -269.6. Which is the second biggest value? (a) 0.1 (b) 5 (c) u (d) 0
a
Let b = 89/3 - 30. Let m = -0.0887 - 0.0413. What is the third smallest value in b, 4, -3, m?
m
Let i be 2 + 2/(-15)*12. Suppose 710 = -23*y + 2826. Let g be (69/y)/((-2)/(-8)). Which is the third biggest value? (a) g (b) 1 (c) i
c
Let u = -1.9464 - -3.8464. Which is the third biggest value? (a) 135 (b) u (c) 1 (d) 4
b
Let t(k) = -k**3 + 38*k**2 - 3*k + 164. Let y be t(38). Let c be (0 - -3 - 1)*y/(-200). What is the smallest value in c, -1, -4/3?
-4/3
Let t = 0.067 - -14.933. Let i = t - 20. Let y = -2.157 + 0.157. Which is the biggest value? (a) 0.1 (b) -1/3 (c) i (d) y
a
Let q = 4.927 - 4.027. Which is the third smallest value? (a) q (b) 2 (c) -57 (d) 3
b
Let o be (-4)/6 + (-12)/16*56/(-36). Which is the second smallest value? (a) 5 (b) 2/5 (c) o (d) -2/5 (e) 2/27
e
Let x be (-20)/(-132)*11 - 1. What is the third biggest value in x, 2, 4, 4/7, 6/11?
x
Let u = 1.9 + 0. Suppose -10 = -21*j + 16*j. Which is the second smallest value? (a) 0.5 (b) j (c) u
c
Let x = -344 - -306. Let s = 40 + x. Which is the biggest value? (a) s (b) -5 (c) 3/7 (d) -4
a
Let d(k) = k**2 - 4*k + 12. Let a be d(8). Suppose a = -s + 5*s. Let l = 897 + -899. What is the smallest value in s, -1, l?
l
Let g = -5950 + 5498. What is the second biggest value in -0.3, g, -0.1?
-0.3
Let z = 41415 - 41414.6. Let m = 4 + -9/2. Which is the smallest value? (a) m (b) z (c) 0.3 (d) -2
d
Let s = 1105 + -1104.931. Which is the second biggest value? (a) s (b) 3/2 (c) -1/4
a
Let j be 12/648*-212 - -4. Which is the second smallest value? (a) 8/3 (b) j (c) 4
a
Let q be 65/(-45) - (-50)/30. Which is the biggest value? (a) -5 (b) -146.5 (c) q
c
Let k = -2 + 2. Let n = -2.2964 - -3.2964. Which is the second smallest value? (a) n (b) k (c) -2
b
Let t = 3070983/28 + -109691. Let u = t - -100/7. What is the biggest value in -3, u, -5?
u
Let s = -6650 + 53201/8. What is the smallest value in -0.3, -237, s?
-237
Let v = -1891.88 + 1892. What is the biggest value in 7, v, -2?
7
Let w = -12.6 + 7.2. Let r = 103.4 + w. Let l = -97.6 + r. Which is the third smallest value? (a) 12/7 (b) -0.3 (c) l
a
Let u = -71 - -354/5. Suppose k - 3*c = -6, -5*k + 10 = 10*c - 5*c. What is the second smallest value in -3, k, 0.4, u?
u
Let n be (-32)/56*((-9)/6)/(-3). Let w = 26.8 - 28.8. What is the biggest value in -4, w, 0.2, n?
0.2
Let h = -593/6 + 98. Let q = -1.208 - -0.208. Which is the third smallest value? (a) -0.3 (b) q (c) h
a
Let q = 15.32 + -14.82. What is the third smallest value in 11, q, 25/2?
25/2
Let u = -3.1 - 0.9. Let x be (-446)/4 + 15/(-60). Let z = x - -112. Which is the biggest value? (a) z (b) -3 (c) -0.2 (d) u
a
Let l = -0.0838 - -38.3838. Let p = -38 + l. What is the third biggest value in p, -4.4, -4, -0.5?
-4
Let t = -175 + 324. Let v = -19 + t. Let q = -131 + v. Which is the second biggest value? (a) q (b) 8 (c) 0.4
c
Let x = -136.9511 + -0.0489. Let j = x - -137.1. Which is the second biggest value? (a) -4 (b) j (c) 15
b
Let t = 36.98 + -36.78. Which is the fourth biggest value? (a) -3 (b) t (c) 5 (d) 0.05 (e) -5
a
Let y = 20774 - 20773.7. What is the second smallest value in -18, -1, 0.4, y, -1/4?
-1
Let a = 40.1 - -1.9. Let u = a - 47. What is the third smallest value in 5, u, 2, 6?
5
Suppose -5*w + 350 - 370 = 0. Which is the biggest value? (a) 1 (b) 24 (c) -2/17 (d) w
b
Let g = 56924/53 + -1074. Let t be (-60)/(-48) - (3 - 45/12). What is the third smallest value in 1/5, g, t, -1/4?
1/5
Let q = -4 + 7. Let r = 78526/58899 - -2/19633. What is the third smallest value in r, -6.2, q?
q
Suppose 4*j - 12 = -4*l, -5*j + 2 = l - 1. Let c = 21.83 - 22.43. What is the third biggest value in l, c, 0, 0.1?
0
Suppose -91*k + 66*k + 196 = -554. Which is the third biggest value? (a) -1/4 (b) k (c) -0.1
a
Let w = -1286.1 - -1286. Which is the third biggest value? (a) 1/4 (b) w (c) -5 (d) -30 (e) -3
e
Let m = -289/3 + 95. Let r(l) = l**2 - 2. Let v be r(-3). Suppose -14*d = v*d - 21. Which is the third smallest value? (a) d (b) -4 (c) m
a
Let b = -0.22 - -1.06. Let v = -1.04 + b. Let x(m) = -m**2 + 5*m - 9. Let d be x(4). What is the third biggest value in d, 4, v, -49?
d
Let g = -110 - -772/7. Suppose -113*f + 111*f + 1 = 3*j, -4*j = -5*f + 14. Which is the fourth smallest value? (a) f (b) 11/4 (c) g (d) -5
b
Let h = 0.3 - 1.3. Let a = -19212.9 - -19212. What is the second smallest value in -3/5, a, h?
a
Let g = -28.43 - -27.8. Let i = -112.37 - -113. Let y = i + g. Which is the second smallest value? (a) y (b) 0.3 (c) 8
b
Let d be (-3)/8 - (-297)/88. Let i be 5 - (d + (-55)/(-35)). Which is the second smallest value? (a) 3 (b) -1/3 (c) i
c
Let r = -14.7 - -123.7. Let p = -3023.1 - -3132. Let n = p - r. What is the third smallest value in -12, -0.2, n, -0.5?
-0.2
Let y = 3.09 - -1.91. Let j be 2/7 + 2272/(-8344). What is the third smallest value in -0.1, j, y?
y
Let f = 7618 + -7617.9. What is the biggest value in f, 0, 6/41, 11?
11
Let z be (-2028)/3042 + (19/27)/1. Suppose 4*q + 7 = -1. Which is the second smallest value? (a) z (b) 0.5 (c) q
a
Let h = -4699200 + 718981042/153. Let t = 390/17 - h. What is the third smallest value in 3, t, 0.3?
3
Let n = 2.5463 - 1.5463. Which is the smallest value? (a) -1 (b) -13 (c) n (d) 87
b
Let v be 203*(-36)/(-6384) + (-5)/4. Which is the second smallest value? (a) -5 (b) 8 (c) v (d) 2/3 (e) 4
c
Let g be (-2)/(-12)*(-14 + 32)*(-16)/(-168). Which is the biggest value? (a) 1 (b) -1/9 (c) -702 (d) g
a
Let m = -2105.2 + 2104.7. What is the smallest value in 6, m, 15/16?
m
Let o = 34.4 - -87.6. Let l = -127 + o. What is the second smallest value in 2, l, 0.4, -1/3?
-1/3
Let b = 5 + -3. Let s = 1.033 - 1.5. Let q = s - -0.067. What is the third smallest value in q, b, 0.3?
b
Let v = -193 - -269. Suppose -v*m = -79*m + 12. What is the second smallest value in -3, -4, m, 0.3?
-3
Let l = 3367 + -26933/8. Let u = 43 + -128/3. What is the smallest value in 3, l, -0.5, u?
-0.5
Let j = 28.28 + -26. Let o = j - 0.28. Let w = 0.0977 - 3.0977. What is the second biggest value in -2/5, o, w?
-2/5
Let o = 144.7 + -144.7. What is the fourth smallest value in -4, o, -2, 3/5, -2/181?
o
Let f = -0.02 + -1.98. Let r = -1611 - -1616. Let b = r + f. What is the third smallest value in -3, -0.4, b, -5?
-0.4
Let u = 3.74 + -11.74. Which is the smallest value? (a) 0.2 (b) u (c) -0.1 (d) 4
b
Let b = -0.32 - -0.372. Let h = 0.048 + b. Let t = -0.079 + h. What is the second biggest value in 2, 0, t?
t
Let q(x) = -12*x - 25. Let z be q(-2). What is the second smallest value in 1/4, 0.8, 2/9, z?
2/9
Let v = 11420.2 - 11420. What is the smallest value in -0.07, -14, -1/6, -2, v?
-14
Let j be (-18)/3 - -6*(-55)/(-33). What is the second biggest value in 0.02, -0.5, j, -7?
0.02
Let g = 4.44 - 1.44. Let t = -10.7 - -5.7. Which is the second smallest value? (a) g (b) t (c) 6
a
Let i = -4.2 - 0.4. Let o = i - -4.2. Let u = -0.08 + -0.22. Which is the smallest value? (a) u (b) 2 (c) 6/11 (d) o
d
Let x = -6886 + 6844. What is the fifth smallest value in -0.1, -3/5, -3, x, 3?
3
Let n = -260 - -168. Let c = 110.5 + n. Let w = 19 - c. What is the second biggest value in -4, -2, w?
-2
Let | {
"pile_set_name": "DM Mathematics"
} |
between 2:42 AM and 12:24 PM?
582
What is 223 minutes after 7:05 AM?
10:48 AM
What is 2 minutes after 12:36 PM?
12:38 PM
What is 92 minutes after 6:18 PM?
7:50 PM
What is 662 minutes before 6:56 PM?
7:54 AM
How many minutes are there between 6:27 PM and 12:41 AM?
374
How many minutes are there between 12:02 AM and 9:18 AM?
556
How many minutes are there between 3:56 AM and 8:54 AM?
298
What is 488 minutes after 1:29 PM?
9:37 PM
How many minutes are there between 12:32 PM and 5:53 PM?
321
What is 52 minutes before 7:39 PM?
6:47 PM
What is 596 minutes before 2:24 AM?
4:28 PM
How many minutes are there between 5:26 PM and 7:45 PM?
139
How many minutes are there between 2:50 AM and 12:36 PM?
586
How many minutes are there between 5:52 AM and 12:19 PM?
387
How many minutes are there between 6:49 AM and 11:54 AM?
305
What is 387 minutes after 6:13 PM?
12:40 AM
How many minutes are there between 5:28 PM and 8:01 PM?
153
What is 502 minutes before 8:57 PM?
12:35 PM
What is 505 minutes before 3:57 AM?
7:32 PM
What is 588 minutes after 5:03 PM?
2:51 AM
What is 166 minutes after 1:12 AM?
3:58 AM
What is 488 minutes before 3:12 PM?
7:04 AM
How many minutes are there between 12:52 AM and 12:08 PM?
676
What is 715 minutes after 3:34 PM?
3:29 AM
How many minutes are there between 11:38 PM and 9:27 AM?
589
What is 558 minutes after 2:17 AM?
11:35 AM
What is 488 minutes before 11:12 AM?
3:04 AM
What is 321 minutes before 4:22 AM?
11:01 PM
What is 359 minutes before 3:32 AM?
9:33 PM
How many minutes are there between 10:48 AM and 3:03 PM?
255
What is 265 minutes after 2:47 AM?
7:12 AM
What is 293 minutes after 5:46 AM?
10:39 AM
What is 115 minutes before 12:22 AM?
10:27 PM
How many minutes are there between 6:55 AM and 1:56 PM?
421
How many minutes are there between 1:51 AM and 11:46 AM?
595
What is 244 minutes before 3:28 AM?
11:24 PM
What is 528 minutes before 7:49 AM?
11:01 PM
What is 251 minutes before 6:56 PM?
2:45 PM
How many minutes are there between 1:38 AM and 10:06 AM?
508
What is 371 minutes after 3:34 AM?
9:45 AM
What is 623 minutes after 11:14 AM?
9:37 PM
How many minutes are there between 6:55 PM and 4:12 AM?
557
What is 253 minutes before 12:46 PM?
8:33 AM
What is 277 minutes after 2:18 AM?
6:55 AM
How many minutes are there between 12:12 AM and 5:17 AM?
305
How many minutes are there between 1:11 AM and 6:07 AM?
296
How many minutes are there between 12:00 PM and 11:22 PM?
682
What is 237 minutes after 1:10 PM?
5:07 PM
What is 643 minutes before 5:02 AM?
6:19 PM
How many minutes are there between 10:19 PM and 2:02 AM?
223
How many minutes are there between 7:06 PM and 5:33 AM?
627
How many minutes are there between 2:26 AM and 9:52 AM?
446
How many minutes are there between 6:12 PM and 7:34 PM?
82
How many minutes are there between 3:45 AM and 10:46 AM?
421
What is 155 minutes after 11:07 PM?
1:42 AM
How many minutes are there between 1:05 PM and 12:52 AM?
707
What is 289 minutes before 3:47 PM?
10:58 AM
How many minutes are there between 7:31 AM and 3:53 PM?
502
How many minutes are there between 7:16 AM and 11:12 AM?
236
How many minutes are there between 4:21 AM and 4:10 PM?
709
How many minutes are there between 10:53 AM and 10:55 AM?
2
What is 468 minutes after 12:15 AM?
8:03 AM
How many minutes are there between 3:08 PM and 5:27 PM?
139
What is 12 minutes after 12:20 AM?
12:32 AM
What is 702 minutes before 10:36 AM?
10:54 PM
How many minutes are there between 1:45 PM and 12:05 AM?
620
How many minutes are there between 10:35 PM and 11:34 PM?
59
What is 249 minutes after 8:02 PM?
12:11 AM
How many minutes are there between 11:42 AM and 5:14 PM?
332
What is 185 minutes before 4:26 AM?
1:21 AM
What is 667 minutes before 4:15 PM?
5:08 AM
What is 491 minutes before 3:39 PM?
7:28 AM
How many minutes are there between 9:03 AM and 4:07 PM?
424
What is 203 minutes after 7:08 PM?
10:31 PM
What is 63 minutes after 6:47 AM?
7:50 AM
How many minutes are there between 3:38 PM and 12:55 AM?
557
What is 385 minutes after 1:43 AM?
8:08 AM
What is 679 minutes before 3:26 AM?
4:07 PM
How many minutes are there between 3:14 AM and 10:18 AM?
424
What is 371 minutes after 11:26 AM?
5:37 PM
What is 586 minutes after 12:11 AM?
9:57 AM
What is 573 minutes before 5:00 PM?
7:27 AM
How many minutes are there between 4:37 AM and 7:11 AM?
154
What is 709 minutes before 5:59 AM?
6:10 PM
How many minutes are there between 7:59 AM and 5:46 PM?
587
What is 291 minutes before 12:08 PM?
7:17 AM
How many minutes are there between 1:04 PM and 11:20 PM?
616
How many minutes are there between 8:55 PM and 8:39 AM?
704
What is 596 minutes before 7:14 PM?
9:18 AM
What is 309 minutes after 7:23 AM?
12:32 PM
How many minutes are there between 3:25 PM and 11:26 PM?
481
How many minutes are there between 3:56 PM and 4:29 PM?
33
What is 687 minutes before 3:26 AM?
3:59 PM
How many minutes are there between 7:15 AM and 3:28 PM?
493
How many minutes are there between 8:36 PM and 8:23 AM?
707
How many minutes are there between 10:59 AM and 4:08 PM?
309
What is 443 minutes before 3:38 AM?
8:15 PM
How many minutes are there between 8:23 PM and 6:19 AM?
596
How many minutes are there between 1:15 AM and 12:54 PM?
699
How many minutes are there between 7:48 AM and 3:26 PM?
458
How many minutes are there between 11:08 AM and 11:59 AM?
51
What is 96 minutes before 4:51 AM?
3:15 AM
What is 332 minutes after 5:28 AM?
11:00 AM
How many minutes are there between 8:16 PM and 11:03 PM?
167
What is 557 minutes after 9:33 PM?
6:50 AM
What is 458 minutes before 10:26 PM?
2:48 PM
What is 514 minutes before 9:49 AM?
1:15 AM
What is 706 minutes after 8:18 AM?
8:04 PM
What is 429 minutes before 6:36 PM?
11:27 AM
How many minutes are there between 11:21 PM and 4:31 AM?
310
How many minutes are there between 10:34 AM and 9:39 PM?
665
What is 439 minutes before 7:40 AM?
12:21 AM
How many minutes are there between 2:37 PM and 5:29 PM?
172
What is 627 minutes after 1:54 AM?
12:21 PM
How many minutes are there between 11:23 PM and 9:32 AM?
609
How many minutes are there between 2:51 AM and 11:04 AM?
493
What is 664 minutes after 12:37 PM?
11:41 PM
How many minutes are there between 11:56 PM and 7:57 AM?
481
What is 14 minutes after 12:52 PM?
1:06 PM
How many minutes are there between 4:22 PM and 1:39 AM?
557
How many minutes are there between 4:59 AM and 6:50 AM?
111
How many minutes are there between 1:48 AM and 1:04 PM?
676
How many minutes are there between 1:03 PM and 3:10 PM?
127
What is 399 minutes before 6:38 PM?
11:59 AM
How many minutes are there between 10:39 AM and 4:52 PM?
373
What is 51 minutes before 3:50 AM?
2:59 AM
What is 38 minutes before 5:20 AM?
4:42 AM
What is 468 minutes before 12:29 PM?
4:41 AM
What is 480 minutes before 1:18 PM?
5:18 AM
How many minutes are there between 8:50 PM and 6:31 AM?
581
What is 706 minutes after 3:24 PM?
3:10 AM
What is 158 minutes before 8:05 AM?
5:27 AM
What is 243 minutes before 6:34 PM?
2:31 PM
How many minutes are there between 3:21 PM and 12:49 AM?
568
What is 265 minutes before 9:32 PM?
5:07 PM
What is 655 minutes after 11:54 PM?
10:49 AM
How many minutes are there between 10:39 PM and 8:21 AM?
582
How many minutes are there between 8:06 AM and 9:06 AM?
60
What is 421 minutes after 5:24 PM?
12:25 AM
What is 181 minutes after 5:57 AM?
8:58 AM
How many minutes are there between 10:14 PM and 8:13 AM?
599
What is 191 minutes after 7:50 PM?
11:01 PM
What is 647 minutes before 10:09 PM?
11:22 AM
How many minutes are there between 3:42 PM and 1:06 AM?
564
What is 490 minutes after 10:24 AM?
6:34 PM
How many minutes are there between 2:44 AM and 2:05 PM?
681
How many minutes are there between 2:17 AM and 5:22 AM?
185
What is 54 minutes before 12:36 PM?
11:42 AM
How many minutes are there between 7:11 PM and 9:17 PM?
126
What is 92 minutes after 5:37 AM?
7:09 AM
What is 702 minutes before 10:53 AM?
11:11 PM
What is 591 minutes before 7:37 AM?
9:46 PM
How many minutes are there between 6:26 PM and 8:09 PM?
103
What is 627 minutes after 1:30 AM?
11:57 AM
How many minutes are there between 3:43 AM and 10:17 AM?
394
How many minutes are there between 7:34 AM and 12:26 PM?
292
What is 482 minutes before 3:38 PM?
7:36 AM
What is 657 minutes before 9:04 PM?
10:07 AM
W | {
"pile_set_name": "DM Mathematics"
} |
((-35 - (3 + -3)) + 319 + -317).
25
(0 + 10 - -1) + (39 - (41 - 60))
69
What is the value of -90 - (11 + -15) - (-13 + 6 + -5)?
-74
Evaluate 17 - (58 + -26) - -55.
40
-1 + 1 - 3 - (-7 - (12 + 2 + -18))
0
Evaluate -29 + (-20 - ((-6 - 16) + 50)).
-77
What is the value of -66 + 42 + 7 + (1 - 0) - 7?
-23
What is the value of (-13 - -16) + (5 - -24 - 112)?
-80
Evaluate -37847 + 37814 - ((9 - -1) + -1 + -1).
-41
What is (-12 - 10 - -5) + 0 + 43?
26
What is the value of 18 + 14 + -19 + -13 + -5 + 24?
19
0 + (10 + 3 + -1 - (-534 + 636))
-90
-49 + -2 + 19 + (-11 - 32)
-75
What is the value of 27 + (3 + 0 - ((-25 - -30) + 9))?
16
Calculate 23 + (-63 - 1) - -126.
85
Calculate 19 - (28 - (-12 - -15) - -33).
-39
Evaluate 8 - (61 - (-15 - -41) - (-4 - 1)).
-32
Calculate -10 + (-4 - (7 + 4)) - -4 - (-1 - -9).
-29
Calculate (-1 - -4) + 0 + -40 + -2 + -4.
-43
0 + 16 - (-6 - -2 - (-12 + -41))
-33
Calculate -1 - (124 + (10 + -1 - (-96 + 122))).
-108
Evaluate (35 - 4) + 2 - (962 + -904).
-25
Calculate (8 - 10) + 12 - (-3 + 17) - 11.
-15
Evaluate (-26 - (9 - 45)) + (-4 - 19).
-13
(8 - 1) + (481 - 578)
-90
Evaluate (-26 - ((-12 - (-17 - 16)) + -17)) + -11.
-41
What is the value of -49 + 27 + -2 + 69?
45
Calculate -48 + 3 + 2 + 5 + 0 + -11 + -1.
-50
What is the value of -20 + 20 + -13 + 7 + 1?
-5
(-1 - (0 + -10)) + (15 - -43 - 25)
42
2 + 216 + 996 + -1128
86
What is the value of -24 + (11 - (-1 + 13)) + (-95 - 26)?
-146
What is -1 + -25 + 7 + -11 + (14 - -2)?
-14
Evaluate -30 + 199 + -47 + -48.
74
What is -56 + 47 + (12 - 16) - (-1 - -12)?
-24
(-15 - 5) + (-3 - (8 + -28)) - (-1 - 1)
-1
Evaluate (-1 - 19) + (13 - 23) + 27 - -31.
28
Calculate 7 + (5 - 13) + 11 + 47 + 7.
64
Calculate 0 + -18 - (195 + -292 + -22).
101
What is 9 + (7 - (-7 + 0 + -40)) + 11 + -2?
72
Evaluate 2 + -4 + 6 + -19 + -16.
-31
3 - (17 + -44) - (2 + 15) - 57
-44
What is 49 - ((-23 - (5 - 9)) + 18)?
50
83 + -66 - 8 - (-8 - (0 - 1))
16
(-3 + 6 - 10) + -22 + (-20 - (-197 + -1))
149
Evaluate 202 + -177 - (1 + (-13 - -7)).
30
-75 + (91 - 32) + 19 + -1
2
Evaluate -33 - -3 - (-2 - -23 - (-3 + 13)).
-41
What is the value of (29 - 56 - -23) + -1 + -14 - (-1 - 5)?
-13
28 + 63 + -240 + 234
85
Evaluate 39 - (2 + 2) - (9 - (8 - 4)).
30
What is the value of (3 - 7 - 63) + (10 + 13 + -35 - -24)?
-55
What is (-88 - -104) + (25 - -4 - -4)?
49
What is the value of -96 - 0 - (-10246 + 10285)?
-135
Evaluate -10 - (28 + -11 + 4) - -21 - -2.
-8
16 + (39 + -15 + -15 - 14)
11
(-651 - -666) + (0 + -2 + 0 - (-129 - 7))
149
What is -1 + 14 - (8 - (108 - 10 - -18))?
121
What is the value of -1 + 6 - (-3 - 8 - (152 - 193))?
-25
What is 2 + -31 + 1 - (8299 + -8328)?
1
(7 - 10) + 1 + 8 - (1351 - 1340)
-5
What is 6 + (-8 - -5) + -14 + (-7 - -15) + 27?
24
Evaluate -8 + (25 - (-27 + 29)).
15
What is the value of -13 + 28 + -1 - (-10 + -24)?
48
What is the value of 9 + -1 + (8 - -35) + (-15 - -6)?
42
What is -16 + 9 - (-3 - -58 - (-26 - (-5 - 10)))?
-73
What is the value of 0 + -13 - (9227 + -9247)?
7
Calculate -10 + 27 - -14 - (38 - 48).
41
Calculate (-11 - 9 - (-38 - -21) - 93) + -17.
-113
What is the value of 79 - (-60 + 40) - (-7 + 2 + (6 - 8))?
106
Calculate (-1 + 1 - -3) + -3 + -97 + -924 + 931.
-90
What is the value of 41 - ((-3 - (-7 - -4) - -11) + 130 + -135)?
35
(3 - -23) + 120 + -123 - 80
-57
Evaluate -17 + 1 - (26 - (13 + -7) - 6).
-30
What is the value of -27 + -3 + -16 + 4?
-42
Evaluate 2 + -40 - (1584 + -1585).
-37
Calculate 12 + 0 + (-40 - -7 - -66 - -24).
69
Evaluate -55 - (628 - 625 - (0 - (-2 - 6))).
-50
What is 11 + (9 - (7 + 10)) + -6 + 13 - -8?
18
Calculate -43 + (48 - 0 - (-450 + 470)).
-15
Calculate (-4 - (1 + 0 + (-11 - 11))) + 83 + -74.
26
Evaluate -6 - (-11 + (23 - 71)).
53
Evaluate (-5 - (1 - (-3 + 0 + -5 + -13))) + -6.
-33
-1 + 0 - (19 - (25 + 21 + 18 + -23))
21
Evaluate -11 - ((-13 - 1) + (-42 - -17) + 27).
1
What is -11 + (37 - 19) - (32 - (-11 - -5))?
-31
What is the value of 7 + (-6 - -17) + -4 - 16?
-2
Calculate 16 + 140 + -28 + -121.
7
What is the value of (113 - 147) + (12 - (6 + -16))?
-12
Evaluate 37 - 71 - (-14 + -28).
8
Evaluate 0 - -4 - ((0 + -11 - -50) + -26).
-9
Evaluate 78 - (-29 - -53 - 19).
73
Evaluate 6 + -30 + 15 - ((-1 - 8) + 11).
-11
2271 + -2297 + 28 + (2 - 3)
1
Calculate -60 - -14 - (-403 - -253).
104
What is the value of 57 + -42 + -153 - -113?
-25
What is (-3 - 20) + -10104 + 10061?
-66
1 + (-8 - -2) - (-291 - -296) - 68
-78
13 + (-15 - (1 + 0)) + (1 - -3 - 54)
-53
263 - 173 - (-15 + (-12 - 17))
134
What is 1 + 78 - (27 + 0 - (-384 - -405))?
73
What is (36 - (10 - -72) - -20) + 82?
56
What is 137 + -154 + 5 + 9?
-3
Evaluate 16 + 0 - (20 - 1 - (6 + 7 - 3)).
7
What is the value of (-23 + -1 - (-2 - 2 - 4)) + -12?
-28
Evaluate 33 + -67 + -2 - -78.
42
Calculate -9 + (88 - ((-1 - -6 - 0) + -266 + 248)).
92
What is the value of -1 + 74 - (-2086 + 2167)?
-8
Calculate (-112 - (-64 - 0)) + 63.
15
81 + -60 + (17 - 18)
20
What is 14 + 95 + -79 + -43 + 1?
-12
Calculate 0 + 0 - (-17 - (-17 - (0 + 31) - -18)).
-13
Calculate (-140 - 76) + 205 - (28 + -1).
-38
What is -5 - (-91 + 77) - (-1 + -1 + 8)?
3
What is the value of -181 + (47 - -82) - 57?
-109
Evaluate -12 - 4 - (-3 + (-8 - -12) - -8).
-25
What is the value of (-5 - 1) + -695 + 738 - -17?
54
0 - ((-5 - -2) + -8) - -22
33
What is the value of -96 - (-136 - (-127 - -30))?
-57
6 + 1 - 15 - (-2 + 1 + (9 - 6))
-10
(-1 - 0) + 1 - (-649 - -638) - 2
9
28 - (-19 + (41 - 1) + -25)
32
What is the value of -80 + 19 + -26 + 20?
-67
21 + -40 + 8 + 22
11
Calculate -16 + (-65 - (-11 + (6 - (-14 - 3 - -11)))).
-82
What is (-6 + 18 + -35 + 8 - -16) + 17?
18
Calculate 25 - (-51 - (-23 - 54)).
-1
Evaluate (65 + -33 - 31) + -13.
-12
What is (1 - 5 - 0 - (-34 - -37)) + (-57 - 4)?
-68
What is (9 - 14) + -8 - ((-4 - -87 - 0) + -2)?
-94
Evaluate 10 + (-31 + (-1 - -14) - -18) + -61.
-51
Calculate 26 + (41 - 25 - 1) - (-2 + -3) - 4.
42
Evaluate (16 - -6) + -65 + 18 + -66.
-91
153 + 2 - (-315 + 393)
77
What is -731 + 644 - (-188 + -1)?
102
What is (15 - 102) + (22 - -4)?
-61
Calculate -28 + (66 - 24) - ((1 - 0) + -5).
18
What is -6 - (-11 - (26 + 7 + -23))?
15
Evaluate 36 - (-129 - -32) - 214.
-81
(-21 + (19 - 7) - -20) + 2
13
What is the value of (-23 - -30 - 29) + -14 + 34?
-2
(2 + 32 - 1 - (436 + -408)) + (-1 - 0)
4
Evaluate 90 + -62 + 13 + 14 + 7 + (-1 - -3).
64
What is the value of 5 + -7 - -8 - ((82 - -47) + -19)?
-104
(3689 - 3757) + (37 - 1) - -36
4
What is the value of 114 - 77 - (25 + 18) - (-2 + -15)?
11
What is the value of -99 + 118 - (-5 - (39 - 2))?
61
What is 35 + 0 - (-132 + 195 + 8)?
-36
What is the value of (8 - 18 - -12 - -1 - 7) + -52 + -15?
-71
Evaluate (-12 - -19) + (-69 - 1) - (-1 + -18 - -15).
-59
What is the value of 4 + -6 - (-13 - (-23 - (-16 - -28)))?
-24
-18 + 0 + (6 - (-9 + (-6 - -19))) + -7
-23
What is the value of (-993 - -979) + (2 - -47)?
35
What is (-4 - -35) + -36 + -44 + 6?
-43
Evaluate 111 - 7 - -5 - (-60 + 93 - 16).
92
What is the value of (-19 + 6 - (28 + -9 - 41)) + -45?
-36
What is (0 - 0) + (-15 - -11) + 69 + 0 - -3?
68
What is -7 + (-11 - (7 - 5 - 19) - 8) - 23?
-32
Evaluate (-1 - -2) + 15 - (-955 + 966).
5
What is -12 + -28 + 37 + -8 + 3 + 2 + 47?
41
1 - -1 - (-1 - -62 - -4)
-63
What is the value of (20 - (5 - -5)) + (-74 - (-1 + 7 + -14))?
-56
Evaluate 2 + -51 + (28 - (1 - -11)) + 20.
-13
(-15 - -4 - -11) + -76 + 14 + 1
-61
What is (38 - 130 - -52 - (2 - 1 - 3)) + -15?
-53
Calculate -41 + (-27 - (-73 - -103)).
-98
104 - 84 - (49 + 43)
-72
What is (0 + 0 - -60) + (8 - (32 + -29)) + -13?
52
What is (-7 - -187 - 175) + (20 - 0)?
25
Evaluate -1 + -37 + 1 - (-7 + (-14 - -21 - -4)).
-41
Calculate -4 + -3 + 26 - (-66 - -86).
-1
What is the value of 59 + -137 + 118 + 13?
53
What is the value of -53 + 12 + -1 + -9 + 74 + -94?
-71
Evaluate (9 - -1) + 199 + -263 + -8 - (-7 - -4).
-59
What is (-46 - 0) + -2447 + 2594?
101
Evaluate -14 + (-75 - (-26 + -5)) + (0 - -5).
-53
What is the value of (-13 - -89) + (-26 + 26 - 25)?
51
What is the value of 13 - -6 - (31 + 25)?
-37
What is -4411 - -4463 - ((0 - -2) + -21)?
71
Evaluate -30 - (33 + -73) - (2 - (-3 + -62 - -2)).
-55
What is (305 - 260) + -1 + -19 + 2?
27
Calculate -2 + -1 - (-32 - (-48 + (-14 - -18))).
-15
Calculate 3 - -5 - (2 - -19) - (-111 - 28).
126
Calculate -16 - -19 | {
"pile_set_name": "DM Mathematics"
} |
.144
Multiply -2 and 17.
-34
Work out -0.4 * 0.053.
-0.0212
What is 2 times -90?
-180
-0.2 times -72.21
14.442
Work out -33.35 * 4.
-133.4
-9*25.8
-232.2
-0.5 * 0.109
-0.0545
Calculate 0.3*-125.
-37.5
What is the product of 0.5 and -183?
-91.5
What is the product of -6748 and 0?
0
What is -0.05 times 20?
-1
-438*-28
12264
Product of -1335 and 0.14.
-186.9
-4*506
-2024
What is the product of -33 and -0.05?
1.65
-0.0169 times -8
0.1352
Product of -3 and 57.
-171
What is 5 times -0.1039?
-0.5195
3 * -3.1
-9.3
9.5 times 0.3
2.85
-3423 times -0.1
342.3
-0.18 * 1.9
-0.342
-79 * 184
-14536
Multiply -0.4 and 0.98.
-0.392
Product of 1.95 and 1.
1.95
-0.7455 times -2
1.491
0.6 * 0.66
0.396
-21 times -65
1365
What is 1801.8 times 2?
3603.6
Calculate -3*5.7.
-17.1
-0.173 * -5
0.865
-4 times -0.06
0.24
What is the product of 981 and 0.5?
490.5
-0.4 * 191
-76.4
Multiply -140 and -3.
420
Multiply -4 and -0.29.
1.16
Calculate -4*344.
-1376
Work out 0.5 * -1180.
-590
0.61 * -5
-3.05
Multiply -103 and 0.2.
-20.6
What is -0.173 times -28?
4.844
Calculate -741*0.2.
-148.2
What is the product of 61 and -9?
-549
-1.4 * 4
-5.6
0.11*-0.037
-0.00407
What is -56 times 0.9?
-50.4
210*0.02
4.2
What is 1.09 times -15?
-16.35
Work out -0.4 * 18.2.
-7.28
-2 * -95
190
-11 * -20
220
Product of -0.16 and 0.352.
-0.05632
-0.3*-1
0.3
Multiply 148 and 0.4.
59.2
What is -0.4 times -97?
38.8
-0.2*0.0225
-0.0045
Work out -2 * 11.05.
-22.1
Product of -2930 and 0.5.
-1465
-27.6 * -1
27.6
-941*0.4
-376.4
Product of -0.36 and -0.13.
0.0468
230.1*-5
-1150.5
Calculate 0.0001*-0.3.
-0.00003
-5 times -0.51
2.55
What is 0.3 times -0.063?
-0.0189
Multiply 1 and 92.
92
0.3*1
0.3
Multiply -0.6 and -281.
168.6
15.9 times -23
-365.7
Product of 239 and 2.
478
-0.2 times 0.0501
-0.01002
What is the product of -0.1 and 0.015?
-0.0015
Calculate 32.1*0.3.
9.63
-3.8 * 0.7
-2.66
Work out -469 * 1.8.
-844.2
What is -19 times -58.5?
1111.5
-0.49 times 1
-0.49
0.4 times -143
-57.2
Multiply 19 and 0.0077.
0.1463
What is the product of -32 and 97?
-3104
Product of -577 and 1.
-577
Product of -0.1 and -2.8.
0.28
Product of -2.6 and -2.2.
5.72
0.5 times 0.5727
0.28635
-0.16019 * 1
-0.16019
Work out 7 * -14.
-98
What is 2 times 24?
48
Multiply 721 and 0.2.
144.2
Calculate 0*1374.
0
Calculate -0.3*-347.8.
104.34
What is -344 times 0.015?
-5.16
Multiply -0.002 and 0.115.
-0.00023
Multiply -9 and -2.2.
19.8
-164.51 * 0.4
-65.804
What is the product of 522 and -4?
-2088
Product of 0.2 and -7.
-1.4
20.4 times -0.02
-0.408
Product of -12 and -8.
96
What is -40 times 0.28?
-11.2
What is -0.041 times -1?
0.041
-0.06 * 11
-0.66
Multiply -3 and 2.61.
-7.83
Multiply -0.4 and -50.
20
Product of 0.1 and 333.
33.3
What is 0 times -0.596?
0
-103 times 3
-309
Work out 0.3 * 65.
19.5
-0.036*5
-0.18
99*-59
-5841
-13 times 1
-13
Product of -24.6 and 0.4.
-9.84
What is the product of 0.5 and -240?
-120
-2 times -37
74
What is -3.455 times 0.4?
-1.382
Multiply -2 and -63.
126
0.251 * -7
-1.757
0.4*-2.97
-1.188
What is the product of 0.1862 and -3?
-0.5586
-4.35 * -11
47.85
-34.9 times -0.32
11.168
Work out 0.92 * 5.
4.6
Product of 0.6 and 0.73.
0.438
-0.048*-4
0.192
Calculate -0.06*314.2.
-18.852
Product of -9.6 and -0.31.
2.976
Work out 0.2 * 0.51.
0.102
What is -3 times 0.3784?
-1.1352
-2*-3190
6380
Multiply 1095.3 and 0.2.
219.06
-1.1 times 0.0219
-0.02409
Product of -1.351 and -1.
1.351
What is 0.15 times 0.2?
0.03
What is the product of -0.3 and -497?
149.1
0.5*50
25
What is the product of -3.9 and -0.1?
0.39
Product of 0.97 and -0.2.
-0.194
-3 * -245
735
Product of 1041 and -3.
-3123
Multiply -5 and 212.
-1060
Multiply -3 and 129.
-387
Calculate -0.054*0.4.
-0.0216
Work out 4 * 1094.
4376
Product of 1 and 732.
732
Multiply 0.1 and 10.5.
1.05
Calculate -332*-1.
332
Calculate -0.03*-32.7.
0.981
2*-0.023
-0.046
Product of 0.1 and 1894.
189.4
Multiply 1.2 and -0.14.
-0.168
Work out -0.149 * -1.
0.149
Work out -0.068 * 18.
-1.224
261*0.4
104.4
0.13 * 9
1.17
Product of -0.02 and 1439.
-28.78
0.4 * -0.5
-0.2
Work out 10.13 * -2.
-20.26
-0.2 * -61
12.2
Calculate -0.0153*0.2.
-0.00306
Product of 0.081 and -1.
-0.081
What is 0 times 4019?
0
What is -0.0957 times -2?
0.1914
0.04465 * 0.01
0.0004465
Work out -6 * 0.3.
-1.8
334 * -0.5
-167
Calculate 0.053*-4.
-0.212
What is 0.3 times 0.609?
0.1827
What is 2.84 times -1?
-2.84
What is the product of -0.029 and -36?
1.044
What is the product of -56 and -0.09?
5.04
3 times 0
0
Multiply -440.8 and -2.
881.6
-4.08 * -0.3
1.224
What is the product of 2.8 and -0.3?
-0.84
Work out -23 * 165.
-3795
Work out 0.185 * 0.1.
0.0185
Multiply 0.156 and -0.3.
-0.0468
What is 274 times 0.1?
27.4
Calculate -0.7*-0.84.
0.588
Work out 4.22 * 0.1.
0.422
Product of 0 and 0.1.
0
0.2 * 3.773
0.7546
Calculate -3.5*1.
-3.5
-81*-0.5
40.5
Product of 0.28 and -4.
-1.12
Work out 0.2 * 94.
18.8
Work out -857 * -0.3.
257.1
Product of -0.2 and -35.3.
7.06
Work out -1 * 208.
-208
What is the product of 2.84 and 2?
5.68
Work out 30230 * -0.4.
-12092
Multiply -0.4 and -1955.
782
11 times 1
11
Work out -0.041 * 8.
-0.328
What is -4232 times 0.3?
-1269.6
15 times 17
255
-27*-0.44
11.88
Multiply 4 and -10.
-40
Work out 0.01 * -17.
-0.17
What is 266 times 0?
0
-0.3 * -1.48
0.444
What is the product of -3 and 0.409?
-1.227
What is the product of 593 and 0.2?
118.6
4 times 27
108
Work out -3 * -61.1.
183.3
Work out 122 * 0.1.
12.2
3*-52.9
-158.7
What is the product of 0.074 and 0.02?
0.00148
Multiply -11.1 and -45.
499.5
Product of -283 and 3.
-849
What is 15135 times 0.3?
4540.5
Product of 0.111 and 1.
0.111
-1590 times -3
4770
Work out 0.03 * 3.
0.09
Product of -18 and -62.
1116
Calculate 3.6*-0.2.
-0.72
0.438 times 0.38
0.16644
What is -233 times 0.3?
-69.9
What is the product of -0.08 and 0.92?
-0.0736
Calculate -2*-353.
706
Work out 2 * 4773.
9546
Work out 1296 * 0.3.
388.8
What is the product of -68 and 19?
-1292
Work out 3 * -2.6.
-7.8
What is the product of 0.0738 and 0.03?
0.002214
-36.4 * 0.04
-1.456
Calculate -989*0.5.
-494.5
Product of -1.1 and -0.08.
0.088
What is -1.2 times -0.03?
0.036
Calculate -212*0.22.
-46.64
0.099 * 0.1
0.0099
0.02 * 0.9
0.018
Multiply -2 and 0.002.
-0.004
What is the product of -0.05 and -3.8?
0.19
Multiply 0.75 and 8.8.
6.6
Calculate 8.9*-5.
-44.5
What is the product of -1 and 0.028?
-0.028
-2394 * -0.2
478.8
347 * -2
-694
What is 430 times 0.4?
172
2*-0.089
-0.178
What is 0.2 times -1.25?
-0.25
15.7*-0.4
-6.28
0 * 0.881
0
Work out -0.005 * -2.
0.01
Multiply -2 and -94.
188
Product of -2 and -10.5.
21
What is -0.3 times -1.358?
0.4074
Multiply 160 and -0.5.
-80
0.06 * -1.172
-0.07032
Product of 0.1 and 6.4.
0.64
What is the product of 0.5 and 38.1?
19.05
Multiply -4865 and 0.3.
-1459.5
Work out 5 * -111.
-555
29 * -14
-406
What is -6.6 times 5?
-33
2 times -180
-360
101 * -16
-1616
137*-0.1
-13.7
Multiply -691 and 0.1.
-69.1
Multiply 0.3 and -152.
-45.6
-81*-0.13
10.53
Work out 0.5 * 29.
14.5
Work out -0.3 * 21.6.
-6.48
0.761 times 4
3.044
Calculate -6*3158.
-18948
2.5*-8
-20
-2.6*53.4
-138.84
-9 * 1.46
-13.14
What is -0.052 times 0.079?
-0.004108
What is -5 times 921?
-4605
-0.1 * -14
1.4
Work out 11 * -45.
-495
0*-191.6
0
-1287*-1
1287
Work out 18 * -0.03.
-0.54
What is -10.7 times 0.1?
-1.07
Calculate -4*-191.
764
-1*-13
13
Work out -7946 * 2.
-15892
What is the product of 2 and -341?
-682
What is the product of 8 and 5.6?
44.8
-1425 * 4
-5700
Work out 12 * -6.6.
-79.2
Multiply 0.4 and -2.2.
-0.88
What is 76 times -0.08?
-6.08
Product of 1 and 0.1006.
0.1006
-57*-3
171
-0.041 times -8
0.328
-9 * -24
216
Work out 5 * -128.
-640
46*0.102
4.692
Calculate 5*-479.
-2395
What is -38 times 11?
-418
What is -209 times -0.2?
41.8
What is 306 times -0.009?
-2.754
What is the product of -0.5 and -140?
70
-0.0615 times 4
-0.246
Work out 364 * 4.
1456
What is the product of 751 and 3?
2253
-66*-0.2
13.2
Calculate -0.1*-5.1.
0.51
-3.264 times 3
-9.792
Product of -4 and 0.82.
-3.28
What is the product of 0.5 and 0.035?
0.0175
-909*0.4
-363.6
What is the product of -0.4 and 336?
-134.4
1770*-0.4
-708
Product of -0.067 and 30.
-2.01
46.4*-1.1
-51.04
Calculate 88*0.01.
0.88
Multiply 0.7 and -0.076.
-0.0532
Multiply -0.1 and 0.4.
-0.04
Work out 9 * -0.149.
-1.341
-0.0616 times -2.1
0.12936
Multiply 23 a | {
"pile_set_name": "DM Mathematics"
} |
-2*t = -4*u - 60, -u + 0*t = t + 18. Let s = u + 15. Let a = s + 5. Calculate the smallest common multiple of a and 16.
16
Suppose 2*p - 14 = 26. Suppose -4*u = -2*u - 18. Let n(m) = m**2 - 7*m + 4. Calculate the least common multiple of p and n(u).
220
Suppose 2*r - 11 = -5, 2*v + 3*r - 229 = 0. Calculate the smallest common multiple of v and 110.
110
Find the common denominator of 101/90 and (-65)/(-36) + 40/180.
180
Let s = 39602/3 - 4712749/357. Find the common denominator of 75/4 and s.
476
Let m = -20 + 38. Let c = 25 + -20. Suppose 0 = -5*b + 4*o - 10, b - c*o = -o - m. Calculate the lowest common multiple of 4 and b.
4
Let x = 3059 + -30617/10. Find the common denominator of -93/134 and x.
670
Find the common denominator of 3/(-30)*(-2 + -6 - 109) and 39/81*-3*5.
90
Suppose -5*h + 280 = -655. Calculate the lowest common multiple of h and 17.
187
What is the lowest common multiple of (40/(-12))/(12/(-648)) and 100?
900
Let s = 306 - 7692/25. What is the common denominator of (9/6)/(-3)*62 and s?
25
Suppose -15*m + 20 = -40. Calculate the common denominator of 145/12 and 2*(m/10 - (-479)/(-160)).
48
Let a = -44 - -50. Let p = -20731/12 + 1734. What is the common denominator of (2/15)/(a + (-684)/110) and p?
36
Let y = -15 - -42. Suppose 0 = f + 5, -5*z = 4*f + 7 - y. What is the lowest common multiple of z and (2/1)/(2/(24/2))?
24
Let u = 1358 + -1352. Calculate the lowest common multiple of (-12)/(0 + (-9)/12) and u.
48
Let m = -3695/18 + 409/2. Let v be 5/(3/(-21) - 0). Calculate the common denominator of m and 249/v - 6/21.
45
Let s be (2/1194)/((-6)/(-81)). Let c = 17765/2388 - s. Find the common denominator of 52/9 and c.
36
Let b = -329/9 - -2465/63. Find the common denominator of b and -109/108.
756
Let c = 407254745/1302 - 938365/3. Let g = 194/31 - c. Find the common denominator of g and ((-1)/6)/(14/(-78)).
14
Let d be (-1*2/2 - 4)*3. Calculate the smallest common multiple of -1 - -16 - d/((-20)/4) and 6.
12
Suppose 2*x + 2*m = 38, 4*m + 19 = x + 5. What is the lowest common multiple of x and 108?
108
Calculate the common denominator of (0 - 59/10)/((-6)/5) and -39/28.
84
Let n = -26 - -16. Let a = -2764 + 2786. What is the lowest common multiple of -20*(n/4)/5 and a?
110
Let o = 70698 + -14139519/200. What is the common denominator of -173/180 and o?
1800
Let d = 1/8570 - -250669/29995. Let f = 6/3847 + -550157/23082. Find the common denominator of f and d.
42
Let u = 18014819/128 + -140740. Calculate the common denominator of -85/12 and u.
384
Let n = 1214626/75 + -16196. Calculate the common denominator of n and -58/9.
225
Suppose -8520 = t - 6*t. Let p = t - 3315/2. What is the common denominator of 23/2 and p?
2
Let y = 390 + -1593/4. Let h be 3159/12 - 2/8. Find the common denominator of h/(-24) + 2/(-3) and y.
8
Let n be (-5)/(-1) + (-2 - -1). Suppose v - n = -k - 2*v, v + 12 = k. Let c(m) = -m**3 - 4*m**2 - 2*m + 1. Calculate the least common multiple of k and c(-4).
90
Let i(y) = -136*y - 22. Calculate the lowest common multiple of 54 and i(-1).
1026
Let o be -2*-2*(-479)/4. Let k = o - -929/2. Find the common denominator of 151/14 + -25 + 22 and k.
14
Let t(i) = 3*i**2. Let a = -1409 - -1418. What is the lowest common multiple of a and t(1)?
9
Let a = -2341 + 2353. Suppose -110 = -5*k + m, 3*k + m - 79 = -k. What is the lowest common multiple of k and a?
84
Let k(z) = -z**3 + 21*z**2 + 44*z + 52. Calculate the smallest common multiple of k(23) and 126.
126
Let h = 62/13 + 279/26. Find the common denominator of 129/(-18)*(-6 - (13 - 20)) and h.
6
Let j = -82 + 142. What is the least common multiple of 70 and j?
420
Let j = -20150533/342 + 58920. What is the common denominator of -61/304 and j?
2736
Calculate the least common multiple of 380 and (-13584)/(-72) - (-20)/15.
380
Suppose q + 0*q - 5 = 0. Calculate the common denominator of 97/4 and (q - (-652)/(-132))*(-102)/88.
484
Let s be 112/(-42)*(-3)/(-2). Find the common denominator of 61/10 and (-145)/15 - s/8.
30
Let y(d) = -2*d**3 + 3*d**2 + 2*d - 1. What is the lowest common multiple of 32 and y(-1)?
32
Suppose 0 = 4*v - 6*v + 980. Let x = 6869/14 - v. Let n = -247381/528 + 5187/11. Calculate the common denominator of n and x.
336
Suppose 17*h + 60 = 20*h. Suppose -3*n + 106 = -h. Calculate the smallest common multiple of 3 and n.
42
Let u = 4397 + -65897/15. Find the common denominator of u and -95/6.
30
Calculate the common denominator of 3/(297/249) + 9/(-3) and -25/87.
957
Let v = -235 - -305. What is the least common multiple of v and 130?
910
Let c = 84 + -45. Suppose -c = -4*o - 3. Calculate the least common multiple of o and 6.
18
Let b = -130 - -189. Calculate the common denominator of 31/8 and -3 - ((-13)/(-26))/((-4)/b).
8
Suppose 2*j + 3*j - 23 = 2*z, -12 = 3*z. Let u(y) = -y**3 - 2*y**2 + y + 1. What is the lowest common multiple of j and u(-3)?
21
Suppose 2*i + 536 = 576. Calculate the least common multiple of i and 20.
20
Let v = -26465/185592 + 39/703. Calculate the common denominator of 11/26 and v.
3432
Let q(w) = w**2 + 4*w - 1. Let t be q(5). Find the common denominator of -57/16 and (-8)/t + (-2553)/660.
80
Let h = 6557/12 - 546. What is the common denominator of -47/23 and h?
276
Let s = 55 - 55. What is the common denominator of 11/38 and (s - -27)*(-1 - 10/(-8))?
76
Let o(r) = r**3 + 3*r**2 - 7*r + 21. What is the smallest common multiple of 4 and o(-5)?
12
Let v(m) = m**2 - 8*m + 19. Let i be v(5). Suppose -y + i*r + 78 = y, -5*r + 18 = y. What is the lowest common multiple of 27 and y?
297
Suppose o = 3*o - 3*n + 9, 0 = 2*o - 4*n + 14. Suppose -3*j + 4*p + 1 = 0, 3 + 0 = -o*p. What is the common denominator of 89/6 and 0 + j - (0 + 25)?
6
Find the common denominator of (-12912)/13440 + (-4)/(-14) and 25/56.
280
Let u = 343969/36 - 9553. Find the common denominator of u and (-153)/(-12)*(-2 - 192/(-90)).
180
Suppose -36*m + 986 = 14. Calculate the lowest common multiple of 9 and m.
27
Let t = 30475/6462 - -82/359. Calculate the common denominator of t and 61/112.
1008
Let f be (-7937)/(-30) - (-2)/(-2). Let t = f - 521/2. Let d = -17/5 + t. Find the common denominator of -145/6 and d.
6
Let a be (-3)/(-15) + (-122)/10. What is the lowest common multiple of 30 and (14 + a)*3/2?
30
Find the common denominator of -30*15/280 - -1 and 115/12.
84
Calculate the smallest common multiple of 3/(-2)*(-14)/21*12 and 12.
12
Suppose -3*y = 4*x - 67539, x + 84417 = 6*x - 3*y. What is the common denominator of -27/2 and (-4)/(-10) + (x/(-640))/9?
32
Let n = 82360/127 - 1297/2. Let d = n + 12693/1778. Calculate the common denominator of -40/9 and d.
63
Let x be (-3)/(-12)*(-2 + 6). Calculate the common denominator of -21/10 and (-405)/(-50) + -2 + x.
10
Let d be 8/(-8) + ((-4724)/2338)/(-2). Let p = -7897/4676 + d. Calculate the common denominator of 67/18 and p.
252
Suppose -t + 111 = 2*t. Suppose -3*f - t + 4 = 0. What is the smallest common multiple of 20 and 10/30 - f/3?
20
Suppose -a = p - 4, 8 = -7*a + 9*a - 5*p. Calculate the lowest common multiple of a and 116.
116
Find the common denominator of 0 - 4 - (-1758)/444 and (7/6)/(-7)*5727/184.
592
Let w = -290923/16 - -18189. What is the common denominator of -35/4 and w?
16
Let z be 2042/(-6)*(-6)/6. Let u = -11063/33 + z. What is the common denominator of u and 16/11?
11
Let c = 3/3488 + -32519/45919520. Let y = c - 15363563/52660. Let q = -296 - y. Find the common denominator of -77/34 and q.
68
Let m = 94 + -104. Calculate the common denominator of 51/40 and ((-484)/m - 4)*(-4)/(-64).
40
Let k = -13 + 35. Find the common denominator of (-14118)/5460 + (-24)/(-5) and 0 - (2 - 109/k).
154
Let t(l) = l**2 + 4*l - 4. Let i be t(-6). Suppose -3*x + 7*x = i. What is the lowest common multiple of x and 5?
10
Let r = 22 + -18. Suppose r*c + 0*c + 2*g - 60 = 0, -44 = -3*c - g. What is the least common multiple of c and 10?
70
Calculate the common denominator of -46/11 and 86/1320 + 2/(-11).
660
Let z(m) = 83*m**3 - 6*m**2 + 5*m + 3. Let q be z(-3). Let a = q + 13787/6. Calculate the common denominator of a and 15/4.
12
Let f = 43 + -27. What is the lowest common multiple of f and -2 + (6/2)/((-60)/(-80))?
16
Suppose -4*h + 10 = -18. Let f(w) = 5*w - 2. Let c be f(h). Calculate the common denominator o | {
"pile_set_name": "DM Mathematics"
} |
-1294700, -2589485, -3884270, -5179055, -6473840, -7768625?
-1294785*h + 85
What is the a'th term of 613, 1008, 1435, 1900, 2409, 2968, 3583?
a**3 + 10*a**2 + 358*a + 244
What is the f'th term of 55070, 55080, 55064, 55010, 54906, 54740, 54500?
-2*f**3 - f**2 + 27*f + 55046
What is the l'th term of 15589346, 15589313, 15589280?
-33*l + 15589379
What is the g'th term of -14116226, -14116223, -14116218, -14116211, -14116202?
g**2 - 14116227
What is the t'th term of 2759, 23912, 81689, 194402, 380363, 657884, 1045277, 1560854?
3052*t**3 - 211*t - 82
What is the r'th term of -10698, -42852, -96430, -171426, -267834, -385648, -524862?
r**3 - 10718*r**2 - 7*r + 26
What is the f'th term of 19677, 39465, 59249, 79029, 98805, 118577?
-2*f**2 + 19794*f - 115
What is the a'th term of -7802, -7390, 1234, 18070, 43118?
4106*a**2 - 11906*a - 2
What is the d'th term of -146222109, -146222103, -146222095, -146222085, -146222073?
d**2 + 3*d - 146222113
What is the r'th term of 171492, 171141, 170790, 170439, 170088?
-351*r + 171843
What is the t'th term of 681575, 681616, 681655, 681692, 681727?
-t**2 + 44*t + 681532
What is the u'th term of 2691294, 2691293, 2691292?
-u + 2691295
What is the l'th term of -23284, -93300, -209984, -373336, -583356?
-23334*l**2 - 14*l + 64
What is the j'th term of 1, 1351, 2727, 4141, 5605, 7131, 8731, 10417?
2*j**3 + j**2 + 1333*j - 1335
What is the q'th term of -518774, -1037518, -1556266, -2075018, -2593774?
-2*q**2 - 518738*q - 34
What is the w'th term of 1926, 1949, 1990, 2049, 2126, 2221?
9*w**2 - 4*w + 1921
What is the l'th term of -2900324, -2900329, -2900334?
-5*l - 2900319
What is the z'th term of -860396545, -1720793089, -2581189633, -3441586177, -4301982721, -5162379265?
-860396544*z - 1
What is the f'th term of -36090319, -36090332, -36090345?
-13*f - 36090306
What is the g'th term of -17724590, -17724589, -17724588, -17724587, -17724586, -17724585?
g - 17724591
What is the h'th term of 84078, 82841, 80786, 77919, 74246, 69773, 64506?
h**3 - 415*h**2 + h + 84491
What is the m'th term of 2795482, 2795477, 2795468, 2795455, 2795438?
-2*m**2 + m + 2795483
What is the k'th term of 89513822, 89513820, 89513818?
-2*k + 89513824
What is the g'th term of 6651, 9744, 12837?
3093*g + 3558
What is the w'th term of -251117, -502428, -753739, -1005050, -1256361?
-251311*w + 194
What is the s'th term of -27078424, -27078420, -27078416, -27078412, -27078408, -27078404?
4*s - 27078428
What is the g'th term of -14760, -29567, -44374, -59181?
-14807*g + 47
What is the i'th term of -15597, -11689, -7781?
3908*i - 19505
What is the b'th term of 19754, 13688, 7622, 1556?
-6066*b + 25820
What is the l'th term of 65956, 131817, 197678, 263539, 329400, 395261?
65861*l + 95
What is the k'th term of -4170, -5394, -738, 12738, 37974, 77910, 135486, 213642?
490*k**3 - 4654*k - 6
What is the q'th term of 338778, 338622, 338466, 338310, 338154, 337998?
-156*q + 338934
What is the x'th term of -8535, -8975, -9707, -10731, -12047?
-146*x**2 - 2*x - 8387
What is the s'th term of -8147, -16295, -24449, -32609, -40775?
-3*s**2 - 8139*s - 5
What is the m'th term of 13642, 54573, 122796, 218311, 341118?
13646*m**2 - 7*m + 3
What is the r'th term of -214, -215, -196, -163, -122, -79, -40?
-r**3 + 16*r**2 - 42*r - 187
What is the t'th term of 2001202, 4002473, 6003744, 8005015, 10006286, 12007557?
2001271*t - 69
What is the q'th term of 110757, 442948, 996561, 1771596?
110711*q**2 + 58*q - 12
What is the f'th term of 123191, 123146, 123101, 123056, 123011, 122966?
-45*f + 123236
What is the t'th term of -2379, -16399, -53711, -125961, -244795, -421859?
-1941*t**3 - 433*t - 5
What is the v'th term of -1417693, -2835575, -4253457, -5671339, -7089221?
-1417882*v + 189
What is the l'th term of 67, 112, 129, 130, 127, 132, 157?
2*l**3 - 26*l**2 + 109*l - 18
What is the k'th term of -352335, -704663, -1056985, -1409301, -1761611?
3*k**2 - 352337*k - 1
What is the d'th term of -1829, -4440, -8757, -14780, -22509, -31944?
-853*d**2 - 52*d - 924
What is the d'th term of -1710770, -1710777, -1710784, -1710791?
-7*d - 1710763
What is the s'th term of -15196, -60660, -136440, -242536, -378948, -545676?
-15158*s**2 + 10*s - 48
What is the m'th term of 47430, 379488, 1280780, 3035922, 5929530?
47436*m**3 + m**2 + 3*m - 10
What is the o'th term of 3282, 3266, 3242, 3204, 3146, 3062, 2946, 2792?
-o**3 + 2*o**2 - 15*o + 3296
What is the d'th term of -34336, -34462, -34592, -34726, -34864, -35006, -35152?
-2*d**2 - 120*d - 34214
What is the b'th term of -3304605, -6609212, -9913819, -13218426?
-3304607*b + 2
What is the n'th term of 42871, 85645, 128431, 171235, 214063, 256921?
n**3 + 42767*n + 103
What is the v'th term of -1175, -2663, -4245, -5969, -7883, -10035?
-8*v**3 + v**2 - 1435*v + 267
What is the m'th term of 172794, 171656, 170518, 169380?
-1138*m + 173932
What is the x'th term of 204, 1770, 6056, 14418, 28212?
226*x**3 + 4*x**2 - 28*x + 2
What is the u'th term of 47063065, 47063059, 47063053, 47063047, 47063041, 47063035?
-6*u + 47063071
What is the d'th term of -930348, -930375, -930402, -930429, -930456, -930483?
-27*d - 930321
What is the k'th term of -9656, -19314, -28978, -38648?
-3*k**2 - 9649*k - 4
What is the i'th term of -13756, -27498, -41216, -54904, -68556, -82166, -95728?
i**3 + 6*i**2 - 13767*i + 4
What is the z'th term of 1973, 8111, 18275, 32459, 50657, 72863, 99071?
-z**3 + 2019*z**2 + 88*z - 133
What is the w'th term of -7202, -12835, -18468, -24101, -29734?
-5633*w - 1569
What is the u'th term of 41182, 82312, 123442?
41130*u + 52
What is the s'th term of -35728375, -71456750, -107185125, -142913500, -178641875, -214370250?
-35728375*s
What is the o'th term of -643, 415, 1485, 2567, 3661, 4767?
6*o**2 + 1040*o - 1689
What is the m'th term of 134, -500, -1820, -3832, -6542, -9956?
-m**3 - 337*m**2 + 384*m + 88
What is the r'th term of -2104, -2307, -2510?
-203*r - 1901
What is the u'th term of -101367, -811008, -2737183, -6488160, -12672207?
-101378*u**3 + u**2 + 2*u + 8
What is the g'th term of -3941, -32868, -111545, -264848, -517653?
-4146*g**3 + g**2 + 92*g + 112
What is the q'th term of -9271, -18573, -27921, -37315, -46755, -56241, -65773?
-23*q**2 - 9233*q - 15
What is the k'th term of 1067, 2223, 3363, 4481, 5571, 6627?
-k**3 - 2*k**2 + 1169*k - 99
What is the j'th term of 11859991, 23719982, 35579973, 47439964, 59299955?
11859991*j
What is the n'th term of 759, 621, 483?
-138*n + 897
What is the d'th term of 39201, 78391, 117581, 156771, 195961, 235151?
39190*d + 11
What is the r'th term of 16930, 34125, 51326, 68539, 85770, 103025, 120310?
r**3 - 3*r**2 + 17197*r - 265
What is the v'th term of -121790511, -243581018, -365371525?
-121790507*v - 4
What is the l'th term of -73, -359, -1117, -2581, -4985?
-39*l**3 - 2*l**2 - 7*l - 25
What is the v'th term of -9148, -9132, -9178, -9316, -9576, -9988, -10582, -11388?
-5*v**3 - v**2 + 54*v - 9196
What is the b'th term of 1323, 2451, 4305, 6885, 10191?
363*b**2 + 39*b + 921
What is the v'th term of -352845, -353842, -354839, -355836, -356833, -357830?
-997*v - 351848
What is the w'th term of -14580471, -14580470, -14580469, -14580468, -14580467, -14580466?
w - 14580472
What is the p'th term of 13385, 13023, 12667, 12317, 11973?
3*p**2 - 371*p + 13753
What is the s'th term of -4234, -17121, -38586, -68629, -107250, -154449, -210226?
-4289*s**2 - 20*s + 75
What is the s'th term of -37273, -75046, -112819, -150592, -188365, -226138?
-37773*s + 500
What is the z'th term of -300, -1274, -2922, -5244?
-337*z**2 + 37*z
What is the h'th term of 8334, 28067, 81630, 185937, 357902, 614439, 972462, 1448885?
2819*h**3 + h**2 - 3*h + 5517
What is the x'th term of -558483, -2233980, -5026497, -8936040, -13962615, -20106228, -27366885, -35744592?
-x**3 - 558504*x**2 + 22*x
What is the v'th term of -1730226, -3460449, -5190668, -6920883, -8651094?
2*v**2 - 1730229*v + 1
What is the d'th term of 342, 8625, 22434, 41775, 66654, 97077, 133050, 174579?
d**3 + 2757*d**2 + 5*d - 2421
What is the c'th term of 356406, 356125, 355844, 355563, 355282, 355001?
-281*c + 356687
What is the i'th term of -110650266, -221300533, -331950800, -442601067, -553251334, -663901601?
-110650267*i + 1
What is the k'th term o | {
"pile_set_name": "DM Mathematics"
} |
1. Let d = -43 + 46. Solve -b*k - d = -14*k for k.
1
Let q = -4 - -5. Suppose 3*i + i = -3*x + 39, 3*x = 2*i + 21. Let w be -8*(x + -10 - 1/(-2)). Solve w*r = -3 - q for r.
-1
Suppose 3*c = -4*c + 112. Suppose -2*p - 2*p + 2*m + 12 = 0, 5*m = 4*p - 12. Suppose -5*h + o - p*o + 30 = 0, 23 = 2*h + 3*o. Solve h*w + 0*w = -c for w.
-4
Suppose -2*x - 16 + 0 = -4*v, -24 = -4*v - 2*x. Let q(r) = -5*r - 2. Let y be q(14). Let k = 82 + y. Solve 5*h + v + k = 0 for h.
-3
Let z be 2*1/((-2)/(-9)). Suppose -12 - z = -3*b. Let n(s) = -s**2 + 8*s - 5. Let g be n(b). Solve j - 1 = g for j.
3
Let j(v) = v**3 + 19*v**2 - 63*v + 173. Let n be j(-22). Solve n - 105 = -2*p for p.
-1
Let f(l) = l**3 + 11*l**2 + 32*l + 14. Let o be f(-6). Solve 4*s - o = 3*s for s.
2
Suppose 4*m - 94 = 4*h - 90, -5*m + 4*h + 6 = 0. Suppose i + 45 = 6*i. Solve -s - i = m*s for s.
-3
Let n = 10 - 6. Suppose -3*c + 13*c - 120 = 0. Suppose -c*a - 3*a = -8*a. Solve -n*j + a*j + 20 = 0 for j.
5
Let f(x) = 0*x - x + x**3 + 5 + x**2 - 2*x**3 + 0. Let i be f(0). Solve i*j + 6 = 2*j for j.
-2
Let d(a) = -a**3 + 15*a**2 + 21*a + 236. Let j be d(17). Solve -164*b + 161*b = -j for b.
5
Let h(i) = -13*i + 30. Let f be h(9). Let r = f - -90. Solve 2*g + r = 3*g for g.
3
Let p be (-11)/(33/(-18)) + -1. Suppose 0 = -p*y + 15. Solve 5*b - 2 = y*b for b.
1
Let p = 18 - 16. Let l = -6 - p. Let d be 4/16 - 6/l. Solve -2*u + 3 = d for u.
1
Let d be 25/((-125)/(-30)) - -1. Solve 41 = d*n + 13 for n.
4
Let z(x) be the first derivative of -x**4/2 - 4*x**3/3 - x**2 + 2*x + 26. Let k be z(-2). Solve 5*d - k = 4 for d.
2
Suppose 0 = 4*o - g - 22, 3*o - 6*o = g - 13. Suppose 3*l + 2*t - 20 = 0, 4*t + 25 - o = 0. Solve l = -3*s - 2 for s.
-4
Let p(h) = -2*h**3 + 13*h**2 + 5*h + 20. Let l be p(7). Solve -4*m - l = -7*m for m.
2
Suppose -5*s + 3*z = -36, 4*s + 0*z - z - 26 = 0. Solve 27*t - 21 = s*t for t.
1
Let j = -36 - -15. Let i = 22 + j. Suppose 14 + i = 5*k. Solve -t - 6 = -k for t.
-3
Let h = -50 - -56. Let r be (-14)/(-21) - 4/h. Solve r*k + k - 1 = 0 for k.
1
Suppose 6*z = 2*z + 8. Let r be 11 + -10 + 0 + 2. Solve -b - z = -r for b.
1
Suppose -4*j + 4*x + 20 = 0, 5*x + 41 = 3*j + 16. Suppose 0 = -5*z - j*z + 30. Suppose -3*i + z = -2*n + 3*n, 5*n = -5*i. Solve -i*p + 5 = 14 for p.
-3
Let c = 16 - 54. Let b = -32 - c. Solve b + 10 = -4*r for r.
-4
Let d be 5/(35/69) + 3/21. Solve 13*b = 18*b - d for b.
2
Let i = 4 + -1. Solve 11 = -i*x + 20 for x.
3
Suppose 7*l + 239 - 659 = 0. Let p = -54 + l. Solve c - p = -c for c.
3
Let h(n) = 3*n - 40. Let q be h(15). Suppose 2*r + 2*r = -4. Let c = r - -1. Solve -q*w + c*w = -10 for w.
2
Suppose -4*w + 61 = u - 5, -2*w - u = -34. Let g = 8 - 7. Let q be ((-18)/(-2))/(g + 0). Solve 5*t = w + q for t.
5
Let x = -37 - -25. Let d = x - -13. Solve d = a - 0 for a.
1
Let g be (12/30)/(2/60). Suppose 8 = 4*x - g. Solve x*h + 13 - 38 = 0 for h.
5
Let b(c) = -7*c - 82. Let z be b(-13). Solve z*i + 6*i + 75 = 0 for i.
-5
Suppose 5*h + 5 = -0. Let l be 876/96 - h/(-8). Let n be 4 + l/6*8. Solve 0 = b + 3*b + n for b.
-4
Let i be -6*(6/(-4))/3. Let p(h) = 2*h**2 + 42*h + 47. Let b(m) = m**2 + 21*m + 24. Let r(s) = 9*b(s) - 4*p(s). Let d be r(-20). Solve d*f = i*f for f.
0
Suppose 6 = l - g, -4*l - 7*g = -3*g - 8. Suppose l*p + 10 = 6*p. Suppose 0*j + p*j = 0. Solve j = -v + 4 - 1 for v.
3
Suppose 5*f + 60 = 5*i, -2*i - 2*i = -5*f - 43. Suppose 5 = -4*h + i. Suppose h*j = 3*q - 20 + 65, -4*q = 4*j - 44. Solve -5*l + j + 12 = 0 for l.
5
Suppose 0 = 18*y + 8*y - 130. Solve y*z - 4 - 21 = 0 for z.
5
Let y(f) = 70*f + 13. Let i be y(0). Solve -4*z - 25 = -i for z.
-3
Suppose 0 = 4*p + 16, -p - 1 = -b + 5. Suppose 0 = b*h - 4*n - 32, 4*n - 7 - 21 = -4*h. Solve 0 = -4*x - 2 - h for x.
-3
Let a = -2 - -4. Suppose 0 = -5*w - 0*w. Suppose 2*t + 2*t + 3*j - 19 = 0, w = -2*t + j + 7. Solve 2*f = -a*f - t for f.
-1
Suppose -12*k = -0*k. Solve -m = -k*m + 3*m for m.
0
Let y(w) = w**2 - 14*w + 11. Let x be y(11). Let a = x - -17. Let p(u) = u + 9. Let o be p(a). Solve 0 = -o*d - 2 - 2 for d.
-1
Suppose -7*a = 5*a - 72. Solve 5 = 11*f - a for f.
1
Let x(b) = 3*b + 39. Let p be x(-6). Suppose 0 = 6*m - p + 3. Solve -3*k + m = -6 for k.
3
Suppose 0 = 55*q - 14*q - 123. Solve -q*m = 1 + 11 for m.
-4
Suppose 94 - 100 = -2*m. Suppose -5*s = 25, -m*s - 20 = -f - 0*s. Solve -a + f = 7 for a.
-2
Let x(s) = -4*s**2 - 17*s + 9. Let i be x(-9). Let a be i/(-12)*2*1. Let h be 6/(a/6 + -3). Solve 2*o + h = -0 for o.
-2
Suppose 4*c - 108 - 44 = 2*o, -2*c + 60 = 3*o. Solve 12*p = 24 + c for p.
5
Suppose 16*k = 15*k - 47. Let n = 53 + k. Solve 2*y + 16 = n*y for y.
4
Let l(v) = 2*v**3 - 3*v**2 - 2*v - 3. Let g be l(3). Let i be (g + 1 - -2)*2. Let y be (-2)/(-7) - (-72)/i. Solve -z - 2 = -y*z for z.
2
Let n be 8 + (-210)/24 + (-19)/(-4). Solve n*z + 9 - 1 = 0 for z.
-2
Let n = -62 - -70. Suppose 5*z + y - 8 = 0, -2*z + 0*y + 2*y = -n. Solve -z*h - 2 = -h for h.
-2
Let k(l) = -l**2 - 7*l - 1. Let z(i) = i**3 - 11*i**2 + 10*i - 6. Let g be z(10). Let m be k(g). Solve 5 = -m*o - 20 for o.
-5
Let h = -26 - -28. Suppose 5*j = 5*c - 15, -c + 4*j + h = -4. Suppose c*q - 4*q + 3*f = -4, f - 27 = -5*q. Solve -q*o - 3 = 22 for o.
-5
Suppose 18 = 2*i + 4*b, 3*b = -i + 3 + 7. Solve i*w = -17 - 18 for w.
-5
Suppose -3*y + 1097 - 1034 = 0. Solve 6*t = 9 + y for t.
5
Let h be 6/(-3)*1 - -6. Suppose -2*b + 3*g + 70 = 25, -2*b + 24 = 4*g. Let w = b - 12. Solve h = -4*t + w*t for t.
2
Let a(j) = j**3 + 7*j**2 + 9*j - 2. Let i be (-5)/((-1 + 2)*(11 + -10)). Let o be a(i). Solve -5*g - o = 2 for g.
-1
Let p(q) = q + 1. Suppose f - 1 = 2*z, 2*z - 6*z + 4*f - 12 = 0. Let d be p(z). Suppose 0 = -3*n + 6, 2*j + d - 15 = -3*n. Solve -j = -2*t + 1 for t.
2
Let m(b) = b**2 - 10*b + 10. Let j be 32/18 + (-4)/(-18). Let k(u) = 2*u**3 - 3*u**2 + 4*u - 3. Let g be k(j). Let r be m(g). Solve -14 - r = 3*x for x.
-5
Suppose 4*l = x + 7, -4*l - 2 = 4*x - 2*x. Let u be l/(-2) + 3/6. Suppose u = 2*s - s - 7. Solve -27 = -4*g - s for g.
5
Suppose -4*g = -2*r + 6*r - 32, -3*r + 15 = 0. Let j be (-2)/(-6) - (-5)/g. Solve j*a = -2 - 0 for a.
-1
Let u = 21 + -19. Suppose -3*l = -2*q - 10, q = -l + 4*q - 6. Let i be (-1)/((-3)/l) - u. Solve i = d + 4*d - 5 for d.
1
Let p = -269 - -284. Solve 7*z + 20 = -p for z.
-5
Suppose 3*d + t = 1, 3*d + 1 = 4*t - 3. Solve d = o - 4*o for o.
0
Suppose 2*i - 10 = -4*f, -2*i = i - 15. Suppose 2*k - 2 = -f*k. Solve a + k = 5 for a.
4
Let m be 476/77 + (-12)/66. Solve -44*w + 46*w - m = 0 for w.
3
Let v = 533 + -531. Solve -v*f + 9 - 1 = 0 for f.
4
Suppose -2*a - 2*n - n = 6, 4*a + 2*n = 4. Solve -k - a = -0 for k.
-3
Let t = -5 + 13. Suppose 4*c - 4 - t = 0. Solve c*r - 3 = 3 for r.
2
Let l = 1519 + -1490. Solve -l = 11*c - 73 for c.
4
Let h be (-24)/36*33/(-2). Let k = -8 - -8. Solve 4*y - h + 3 = k for y.
2
Suppose 3*o + 6 - 3 = 0. Let n = 5 + o. Suppose 29 = -q + 4*q - 5*x, -n*q - 2*x = -4. Solve -q = -f - 1 for f.
2
Let d(m) = 4*m**2 - m. Let b be d(2). Let o = b + -6. Suppose -4 = c - o. Solve c*j - 5 = 3 for j.
2
Let b(t) = 5*t - 10. Let u be b(6). Suppose -u = h - 6*h. Suppose -2*v + 5 = -1. Solve v*l = 2 + h for l.
2
Let n be ((-4)/18)/(29/(-261)). Solve n*p - 39 = -31 for p.
4
Suppose 4*s = -5*q + 16, -5*s + 3*q = 5*q - 3. Let i be (1 - (s - 1)) + 30. Solve -i = -4*l - 13 for l.
5
Suppose 3*f + 2*p = 2, -6*f + 2*p = -4*f - 8. Let h(d) = -d**2 - 9*d + 12. Let k be h(-10). Solve f*u = 3*u + k for u.
-2
Suppose 0 = 5*h - 4*k - 38 + 9, 3*h + 2*k - 13 = 0. Let l(b) = -b**3 + 14*b**2 - 11*b - 22. Let w be l(13). Suppose -h*g + w = -6. Solve -g*n + 2 = -8 for n.
5
Let a be 12/1 - (-12 + (10 - -6)). Solve 7*l = -20 - a for l.
-4
Let r(n) = -12*n + 292. Let l be r(24). Solve -19 + 27 = l*q for q.
2
Let g be 1/(-1)*(-22)/11. Let w be 261/18 - (-1)/g. Suppose -6*l - 3 = -w. Solve -3 = -l*d - d for d.
1
Let a(v) = -7*v**2 + v**3 + 7*v**2 + 4*v**2. Let y be a(-4). Suppose h - 2*h + 2 = y. Solve h*i - 6 = 4*i for i.
-3
Let g(m) = -2*m + 7. Let b(x) = -9*x + 36. Let z(k) = 2*b(k) - 11*g(k). Let n be z(3). Solve -5*y - n = -17 for y.
2
Let a = 0 + 2. Suppose a*v + 5*f = 2*f + 15, 3*f = v + 6. Suppose -5*o + m + 30 = -3*m, v*o = 4*m + 18. Solve 4*n + o = 22 for n.
4
Let n = 2 - -10. Suppose -3*o + 0 - n = 0. Let h be ( | {
"pile_set_name": "DM Mathematics"
} |
5*x**3
Expand (3*b + b**3 - 3*b)*(-4*b - 2*b + 2*b - 1).
-4*b**4 - b**3
Expand (3 - 3 - y**2)*(7 - 3 - 2)*(-3 + 1 - 5).
14*y**2
Expand (-3*y + 3*y - 2*y)*(-4 + 5 - 21)*(2 + 1 + 1).
160*y
Expand (-3*t**4 - 10*t**3 + 10*t**3)*(-3 + 2 + 0)*(4*t - 5*t + 3*t).
6*t**5
Expand 5*p**3 - 2*p**3 - p**3 + (11*p**2 - 2*p + 2*p)*(-p - 3*p + 5*p).
13*p**3
Expand (3 - 1 + 0)*(-5 - 2 + 3)*(c**4 + c**4 + 0*c**4).
-16*c**4
Expand (-2*t + 1 - 1)*(-27*t - 12 + 54*t - 24*t).
-6*t**2 + 24*t
Expand (2*k**2 + k**2 - k**2)*(-k**2 - 2 + 2) + 0*k**4 + k**4 - 3*k**4 + (-44*k - 21 + 21)*(-5*k**3 + 3*k**3 + 0*k**3) + 2*k**2 - 2*k**4 - 2*k**2.
82*k**4
Expand (3 - 1 - 3)*(-3*l**2 + 3*l**2 + 2*l**3) - 4*l**3 + 2*l**3 + 3*l**3 + (l**3 + 1 - 1)*(-4 + 1 + 1).
-3*l**3
Expand (3*t**2 + 1 - 3*t**2 - 6*t**2)*(-4*t + 2*t - t).
18*t**3 - 3*t
Expand -4*p**4 - 2*p**4 - 2*p**4 + (-2 + 2*p + 2)*(p**3 - 3*p + 3*p) + 3*p**4 - p**4 - 3*p**4.
-7*p**4
Expand (0*g - 2*g**2 + 0*g)*(0 + 0 + 2*g**2 + (-4 + 3 + 3)*(2 + 2*g**2 - 2)).
-12*g**4
Expand (2*l - l + 0*l)*((l + 0*l + 0*l)*(3 + 1 - 3) - 6 + l + 4 + 0*l).
2*l**2 - 2*l
Expand (-2 + 4 - 3)*((-1 + 1 + 1)*(3*w - 2*w - 3*w) + (1 - 1 - 1)*(6*w + 10*w - 8*w)).
10*w
Expand (2*f**2 + 0 + 0 - f**2 - 4*f**2 + 3*f**2 + (4 - 2 - 3)*(f**2 - 4 + 4))*(2*f - 3*f**2 - 2*f).
3*f**4
Expand -3*i + 2*i + 3*i + (0*i + 2*i - 3*i)*(5 - 6 + 0) + 2*i + 17*i - 12*i.
10*i
Expand (-2*g**2 + 2*g**2 + g**2)*(-6*g + 5*g - g - 15*g**2).
-15*g**4 - 2*g**3
Expand (3 - 1 - 3)*(17 + 7*r - 17)*(3 + 1 - 3 + (-3 - 2 + 3)*(2 - 5 + 1)).
-35*r
Expand (-4*y + 4*y - 2*y)*(6 + 0 - 2)*(0*y**2 + 2*y**2 + y**2).
-24*y**3
Expand (1 - 4 - 1)*(-g**4 + 7*g**2 - 7*g**2).
4*g**4
Expand (4*y**2 - 4*y**2 - y**2)*(-60 - 19 - 5).
84*y**2
Expand (32*m - 3*m**3 - 1 - 32*m)*(-1 - 1 + 0)*(2 - 4 + 4).
12*m**3 + 4
Expand -2*a**5 - 3*a**5 + 0*a**5 + (2*a**5 - 8*a**5 - a**5)*(1 + 3 - 3).
-12*a**5
Expand (0*y + 4*y - 5*y)*(4 - 4 - y) + 4*y - y**2 - 6*y + 3*y**2 - 1.
3*y**2 - 2*y - 1
Expand (-4*p + 6*p + 0*p)*(-p**3 + 2*p**3 - 2*p**3) + 3*p**2 - 3*p**2 - p**4 - 6*p**4 - 22*p**4 - 5*p**4.
-36*p**4
Expand (-1 - 1 + 0)*((0 - 3 + 4)*(5*i + i - 4*i) - 4*i + i + 4*i + 2*i + 5*i + 2*i).
-24*i
Expand (3*p**2 - 7*p + 7*p)*(3*p - 3 + 1 - 1).
9*p**3 - 9*p**2
Expand 0*w**5 - 2*w**5 + w**5 + (-w**2 + 2*w**3 + w**2)*(-3*w**2 + 3*w**2 + w**2 + w**2 + 4*w**2 - 3*w**2 + (0*w + w - 3*w)*(w + 1 - 1) + 2 - 2 + w**2).
3*w**5
Expand (-2*v + 0*v + 0*v)*(-2*v + 0*v + v)*(-1 + 0 + 3).
4*v**2
Expand -c**2 - 3*c**2 + 5*c**2 + (-c**2 + 2 - 2)*(-1 + 2 - 2) + 2*c**2 - 249*c + 239*c + 5*c**2.
9*c**2 - 10*c
Expand (1 - 2 + 3)*(0 + 0 + 6)*(-p**2 - 6*p**2 - 2*p**2).
-108*p**2
Expand (3 - 7 + 2)*(-2 - 2 + 2)*(-22*u**3 + 11*u**3 + 28*u**3).
68*u**3
Expand (0*u**3 - 2*u**3 + 3*u**3)*(-4 + 1 + 1) - 12*u + 12*u - 7*u**3.
-9*u**3
Expand (0*d - 5*d + 4*d)*(-5*d + 12*d - 4 - 3*d).
-4*d**2 + 4*d
Expand (-6*b**4 - b**4 + 8*b**4)*(-6 + 2 + 2).
-2*b**4
Expand (3*g**2 - 3*g**2 - g**3)*(3 + 0 - 6) + (0*g**2 + 2*g**2 - 3*g**2)*(-g + g + 2*g).
g**3
Expand (0 + 0 - 4 + 3 - 2 + 0 + (-4 + 4 + 1)*(0 + 0 - 2) + 1 + 1 - 3 + 3 - 2 + 1 - 1 + 6 - 3)*(-2*n + 2*n - n**5).
2*n**5
Expand 3*p - p - 3*p + (p - 4*p + 5*p)*(2 + 1 - 4) - 4 + 2*p + 4 - 5 - 5*p + 5.
-6*p
Expand (a - 3*a + a + (0*a + 2*a - 3*a)*(3 - 2 + 1))*(-5 - 8 + 8 + (3 - 5 + 1)*(2 - 2 + 1)).
18*a
Expand (-1 + 1 - v**5)*(0 + 5 - 3) - 7*v**5 + 13*v**5 + 14*v**5.
18*v**5
Expand (11*s**2 - 4*s + 4*s)*(-13*s**2 - 4*s**3 + 13*s**2) + s**4 - 2*s**5 - s**4.
-46*s**5
Expand (-2*u**2 - 3*u**2 + 3*u**2)*(0*u - 2*u + 0*u) + u**2 + 3*u**3 - 6*u**2 + 3*u**2.
7*u**3 - 2*u**2
Expand (29*t**2 - 4*t**3 - 29*t**2)*(-2*t + t + 3*t)*(-1 - 2 + 4).
-8*t**4
Expand (87*b**3 - 84*b**3 - 2 + 3*b + 4*b)*(0*b + 0*b - b**2).
-3*b**5 - 7*b**3 + 2*b**2
Expand 9*t**3 + t**3 - 2*t**3 + (-t**2 - 4*t**2 + 4*t**2)*(2*t + 2 - 2) - 2*t**3 + 0*t**3 + 4*t**3.
8*t**3
Expand ((5*t + 0*t - 3*t)*(0*t**2 + 4*t**2 - 2*t**2) + 4*t**2 - 7*t**3 - 4*t**2)*(0*t + 0*t + 2*t).
-6*t**4
Expand (4 - 2 + 0)*(-3 + 3 + 3*g)*(3*g**4 - 2*g**4 + 2*g**4).
18*g**5
Expand 1 - 2*u - 1 + (1 - 1 - 2)*(2*u - u + 0*u) - 3*u - 4*u + 5*u + 0*u - 5*u + 4*u + 6*u - u - 4*u.
-6*u
Expand 4*x**4 + 1 - 1 + (2*x**2 + 4*x**2 + 0*x**2)*(-3*x**2 + x**2 + 0*x**2).
-8*x**4
Expand (5 - 4 - 2)*(-2*u + 4*u - 3*u) - 2*u - u + 4*u + (-u + u - 2*u)*(1 + 0 + 3).
-6*u
Expand (0 + 0 + m)*(-22*m + 20*m + 30*m).
28*m**2
Expand ((-5*c**2 + 5*c**2 + 2*c**2)*(0 - 3 + 2) + c**2 + 0*c**2 + 0*c**2 + 2*c**2 - 3*c**2 + 8*c**2)*(-3*c + 2 - 2).
-18*c**3
Expand (-184 - 225 + 348)*(s - s - 2*s).
122*s
Expand (-6*u + 49*u + 7*u)*(2*u - 2*u - u).
-50*u**2
Expand (1 + 3 - 2)*(3*y**5 - 3*y**5 + 2*y**5) + (-2*y + 4 - 4)*(-5*y**2 + 0*y**2 + 6*y**2)*(-4*y**2 - y**2 + 3*y**2).
8*y**5
Expand ((-2*n - 4*n + 5*n)*(0*n + 0*n + n) - 2*n**2 + 7 - 7)*(4 - 4 - 3*n).
9*n**3
Expand (6*j**3 - 2*j**3 - 2*j**3)*(-j**2 + 0 + 0) + (0*j**2 + 0*j**2 + j**2)*(-j + j + j**3) + 2 - 2 - 2*j**5.
-3*j**5
Expand (0*l**4 - l**4 + 2*l**4)*(-4 + 6 - 5)*(6 - 3*l - 6).
9*l**5
Expand (-b - 2*b**3 + b)*(-3*b**2 + 4*b**2 + 5*b**2) + (-1 + b + 1)*(-2*b**4 - 2 + 2).
-14*b**5
Expand 0*s**3 + 0*s**3 + s**3 + (-2*s**2 + 0*s**2 + 0*s**2)*(-2*s - s + 5*s) + 3*s**3 + 6*s**3 + 5*s**3 + (-3 - 2*s**3 + 3)*(1 - 2 + 3).
7*s**3
Expand (1 - 1 - g)*(-3 + 0 + 1)*(7 + 12 - 12).
14*g
Expand g**2 + 7*g**2 - 2*g**2 + (4 + 0 - 2)*(3*g**2 + 4*g - 4*g).
12*g**2
Expand (-2 - 3 - 1 - 1 + 3 - 3 + (3 - 3 + 1)*(0 + 1 + 1))*(-2*o + 0*o + 0*o).
10*o
Expand (-4*f + 2*f + 3*f)*(3*f**2 + 2*f**4 - 3*f**2) + f**5 - 5*f**2 - 3 + 1822*f**4 - 1820*f**4 + 5.
3*f**5 + 2*f**4 - 5*f**2 + 2
Expand 15*h**2 - 5*h**2 + 0*h**2 + (4*h + 2*h**2 - 4*h)*(-6 + 3 + 1).
6*h**2
Expand (t**3 + 3*t**3 - 2*t**3)*(-t**2 + 4*t**2 + 0*t**2).
6*t**5
Expand -v + 2*v - 4*v + (2 - 3 + 3)*(-2*v - 3*v + 4*v) - 2*v - 2 + 2.
-7*v
Expand (4 - 3*t - 4)*(1 - t - 1)*(-6*t**2 - 2*t**2 - 7*t**2).
-45*t**4
Expand (d**2 - 248*d + 126*d + 125*d - 9)*(2*d + 3*d - 6*d).
-d**3 - 3*d**2 + 9*d
Expand (m**2 + m**2 - m**2)*(3 - m - 3) + (-2 + 2 + m**2)*(m + 2*m - 2*m) - m**3 + 2*m**3 + m**3.
2*m**3
Expand (3*o + 2 + 5 - 4)*(-1 + 4 + 3).
18*o + 18
Expand (0 - 3 + x - 7)*(-5*x + 2*x + 4*x).
x**2 - 10*x
Expand (3*i + 3*i - 5*i)*(8 + 2 - 1) + (0 + 2*i + 0)*(5 - 2 - 4) + 2*i - 6*i + 2*i + 4*i + 2*i - 5*i + 4*i - 4*i + i.
7*i
Expand (21*v + 2*v - 3*v)*((4 - 6 + 4)*(-v**2 - 4*v**2 + 3*v**2) - 4*v - 2*v**2 + 4*v).
-120*v**3
Expand (-1188 + 1188 + 17*w)*(-2*w + 0*w + 0*w).
-34*w**2
Expand (i - i + 2*i)*(-4 + 2 + 0) - 2*i + i - 4*i + (-2 - 2 + 9)*(2 - 2*i - 2).
-19*i
Expand (-84*c + 84*c - 9*c**3)*(0*c - 3*c + 6*c).
-27*c**4
Expand (6 + 16 - 7)*(-3*n + 6*n + 0*n).
45*n
Expand n**3 + 2 + 5 - 5 + 5*n**3 + 8*n**3 - 4*n**3 + (0*n + 0*n + 2*n)*(3 + n**2 - 3).
12*n**3 + 2
Expand (-7*u - 11*u + 29*u)*(-4*u + u + u) - 4*u**2 + 0*u**2 + 3*u**2.
-23*u**2
Expand (f - 2*f - 2*f)*(0 - 1 + 4)*(7 + 8 - 20).
45*f
Expand ((w**2 + w**2 + 0*w**2)*(w - 2*w**2 - w) - 2*w**4 - 2*w**4 + 6*w**4 + 4*w**4 - 2*w**4 - w**4)*(-4*w + 2*w - 2*w).
4*w**5
Expand (-4*d + 0*d - 5*d)*(-4*d**2 - 2*d**2 + 4*d**2).
18*d**3
Expand -13*t**2 + 9*t**2 + 13*t**2 + (-5 + 5 - 3*t)*(-7*t + 3*t + 3*t).
12*t**2
Expand (-4*h + 4*h + 3*h)*(-h + 0*h + 4*h)*(-3 + 0 + 1).
-18*h**2
Expand (-3 - 3*j**4 + 3)*(12 + 6 - 5 + (0 + 3 - 2)*(2 + 0 - 1) + 2 + 0 + 0).
-48*j**4
Expand (2*h + 3 - 3)*(-1 + 2 - 4)*(0 + 2 + 1)*((-2*h + 3*h - 3*h)*(2 - 2 + 2) + h + 1 - 1 + 0 + 0 - 2*h + 0*h - 3*h + h - 2*h - 4*h + 0*h).
234*h**2
Expand (7 - 3*q**2 - 7)*(-27 - q**2 + 27).
3*q**4
Expand (2 - 2 - 4)*(-3*q + 5*q - q)*(5 + 1 - 3).
-12*q
Expand (3*h**2 + 2*h**3 - 3*h**2)*(15*h**2 - 3*h**2 + 0*h**2 + (-2 - 1 + 2)*(0*h**2 - 2*h**2 + 0*h**2) - 3*h**2 + 3*h**2 - h**2).
26*h**5
Expand ((4 - 3 - 5)*(2 - 2*u - 2) + 2 - 2 + u)*(2*u + 1 - 1).
18*u**2
Expand (0*i**2 + 2*i**2 + i**2)*(0*i + i - 5*i)*(0 - 1 + 2).
-12*i**3
Expand (35 + 184 - 99)*((-2*s + 3*s + 0*s)*(0 + 3 - 2) + 1 + s - 1).
240*s
Expand (-1 - 1 + 1)*(q**5 + q**5 + 0*q**5) - 4*q**5 + 0*q**5 + 3*q**5 + q**5 + 3 - 3.
-2*q**5
Expand (-3*n - n**2 - 2*n**2 + n)*(-6 - 9*n + 6).
27*n**3 + 18*n**2
Expand -s**3 - s**3 - 5*s**3 - 2*s**2 + 2*s**2 - 3*s**3 + (-2*s - 2*s + 3*s)*(-3*s**2 + 3*s**2 + s**2) - 2*s**3 - 4*s**2 + 4*s**2.
-13*s**3
Expand (-1 + 5 - 3)*(-5*s**4 - s**2 + s | {
"pile_set_name": "DM Mathematics"
} |
2)**2).
-96 - 6*sqrt(2)
Simplify -5 + (-4*((sqrt(147) + 2 + sqrt(147))*5 + 4*(sqrt(147) + 1 + sqrt(147)) + 0 + -2))**2.
48384*sqrt(3) + 764347
Simplify ((2*sqrt(385)/sqrt(112))/(sqrt(132)/((sqrt(84) + (sqrt(84) - (sqrt(84) - ((-1*sqrt(84) - sqrt(84)) + sqrt(84)))) - sqrt(84))/sqrt(7))) + -1)**2.
sqrt(5) + 9/4
Simplify (sqrt(624)*-1*-5 - -6*sqrt(624)*1)/(-2*-2*sqrt(1200))*-3.
-33*sqrt(13)/20
Simplify ((sqrt(55) + sqrt(1375)*4 + -2*sqrt(55)*-5 + sqrt(55))/((sqrt(15)/sqrt(3) - sqrt(5))*4 - sqrt(10)/sqrt(2)*1))**2.
11264
Simplify 5 + 5*(sqrt(55)*1*-5)/sqrt(11)*-2*-1 + 0.
-50*sqrt(5) + 5
Simplify (-4*(2 + 1*sqrt(147) - (4 + sqrt(147)*2 + sqrt(147)) - (-4 + -3 + sqrt(147) + 1 + sqrt(147)))*-1*4)**2.
-57344*sqrt(3) + 606208
Simplify (4*(((sqrt(153) - (1 + sqrt(153)))*4 - sqrt(153))*6 + 3 + (sqrt(153) + 1)*-2 + 0 + sqrt(153)*-1 + -4))**2.
23328*sqrt(17) + 209952
Simplify ((5*-1*sqrt(78))/(sqrt(192)*1))/((sqrt(12)/sqrt(150) + sqrt(2) - -2*2*sqrt(2))*4).
-25*sqrt(13)/832
Simplify (6*(-2*(-4*(1 + sqrt(468)) - sqrt(468)) + 4 + 0)*-1)**2*1.
51840*sqrt(13) + 1689984
Simplify (5*sqrt(190)*1 - (sqrt(190) + sqrt(190)*-3)*-5)/((6*sqrt(50)*2)/(sqrt(5) + sqrt(720)*2)).
-125*sqrt(19)/12
Simplify -6*(-2 + (0 + 0 + sqrt(539) + sqrt(539) - (sqrt(539) - 3*sqrt(539)*-6))*-6*3)**2.
-302818848 + 51408*sqrt(11)
Simplify (3*-1*(sqrt(104)*1 + sqrt(104))*-2)/((5*1*sqrt(96))/((sqrt(972)*1 + sqrt(972) - sqrt(12)) + sqrt(12))).
216*sqrt(13)/5
Simplify 5 + (2*(-1*sqrt(209) - sqrt(209)))/(2*sqrt(1100)) + -1.
-sqrt(19)/5 + 4
Simplify 1*(-1 + (-1 + sqrt(1053)*2 - (-3 + 0 + sqrt(1053)))*-1)**2.
54*sqrt(13) + 1062
Simplify (-3*((2*(sqrt(847) + -3) - (sqrt(847)*3 + sqrt(847) + -3)) + -2)*3*6)**2.
641520*sqrt(7) + 9952308
Simplify ((-5*-1*sqrt(114))/sqrt(6) + sqrt(57)/(sqrt(243) + (sqrt(243) - (-1*sqrt(243) - sqrt(243)) - sqrt(243))))**2 - -2*2*((2 + sqrt(2736))*-3)**2.
1728*sqrt(19) + 72259984/729
Simplify (-2 + -2*(sqrt(294)/(sqrt(6)*-1*4))/(sqrt(28)/(sqrt(4)*2)*-1))**2.
4*sqrt(7) + 11
Simplify ((sqrt(475)*-1 + -5 + sqrt(475)*2*-5)*-6)**2*-3*1.
-6210000 - 59400*sqrt(19)
Simplify (2 + (4*(0 + sqrt(162)) - sqrt(162)) + (sqrt(162) + 0 + sqrt(162))*3 + 2 + -3*1*-2*sqrt(162))**2*4.
4320*sqrt(2) + 145864
Simplify (3 + ((2*sqrt(35))/sqrt(5) - -1*sqrt(7)*6) + -3 - 5*(1*sqrt(189)/sqrt(3))/(sqrt(9) - (-2*sqrt(108))/sqrt(12)))**2.
2527/9
Simplify (6*(sqrt(66) - (-1*sqrt(66) - sqrt(66))*6 - (sqrt(66) - (sqrt(66) + -1*sqrt(66) - sqrt(66))*6)))/(sqrt(216)*6 - (sqrt(216)/sqrt(4))/sqrt(9)).
36*sqrt(11)/35
Simplify ((-5 + -5*(sqrt(1088) + (sqrt(1088) + 2 - sqrt(1088))*-5) + 0)*6*-2 + 4)**2.
-514560*sqrt(17) + 4204096
Simplify (0 + 2*sqrt(1372) + 4 + sqrt(1372) + 4 + 2 + ((sqrt(1372) - (sqrt(1372) - 2*sqrt(1372))) + -5)*2)**2.
67228
Simplify (6*(sqrt(176) + sqrt(176) + sqrt(176) + 0) + 1*sqrt(704) + -2 - (sqrt(5500)*3 - sqrt(5500))/((sqrt(10) + sqrt(490) - sqrt(10))/sqrt(2)))**2.
-2160*sqrt(11)/7 + 3207796/49
Simplify (-4 + (-4 + sqrt(68) + sqrt(68)*-3 + sqrt(68) - sqrt(68)))**2 + ((sqrt(17) - sqrt(85)/(2*sqrt(5)))*6)**2*6 + -2.
64*sqrt(17) + 1252
Simplify 4*((sqrt(192) - (2*sqrt(192) - sqrt(192))) + 0 + (1*sqrt(192) + 1)**2 - (-1*sqrt(192)*-3*4)**2).
-109820 + 64*sqrt(3)
Simplify (sqrt(12) + (-2*(sqrt(12) - sqrt(72)/sqrt(6)) - sqrt(12)) + (sqrt(192) - (sqrt(192) + 1*sqrt(192))))/((-5*sqrt(64))/(6*2*sqrt(4))).
24*sqrt(3)/5
Simplify (((sqrt(153) + 2*sqrt(153))*5 + (sqrt(153) - 2*sqrt(153))*1)*1)/((4*(sqrt(99) - (2*sqrt(99) + sqrt(99))))/((sqrt(132)/sqrt(3))/sqrt(4)))*2.
-7*sqrt(17)/2
Simplify -1 + ((-4 + 2*((sqrt(931) - (sqrt(931) + 1)) + sqrt(931)))*6*4)**2*-3.
-6497281 + 290304*sqrt(19)
Simplify (5*(sqrt(77) + (-1*sqrt(77)*4 - sqrt(77) - sqrt(77)) + 3*sqrt(77)*-1))/(((-1*sqrt(264))/sqrt(8))/(sqrt(9)/(sqrt(12)/sqrt(4)))) + 2.
2 + 40*sqrt(7)
Simplify (2 + -4 + -6*(sqrt(560)*-5)/(sqrt(15)/sqrt(3)*-6 - sqrt(5))*3)**2.
1440*sqrt(7)/7 + 129628/7
Simplify ((2*sqrt(1377) + -4 + -1 + -4 - 1*(sqrt(2448) - sqrt(2448)*3 - (4 + sqrt(34)/sqrt(2))))*-1)**2.
-430*sqrt(17) + 31458
Simplify 1*((-4 + 2*(sqrt(68) + sqrt(68) + 0) + 0 + -1 + sqrt(68))*-6)**2.
-3600*sqrt(17) + 62100
Simplify -2*2*(-4*((sqrt(147) - (2 + 0 + sqrt(147))) + 3))**2*-6*1.
384
Simplify 4*(4*sqrt(5600)*1)/((sqrt(8) + 3*sqrt(8)*2)*3) + -2.
-2 + 160*sqrt(7)/21
Simplify (((sqrt(90)*-1 - sqrt(90))*4)/(sqrt(9) + sqrt(90)/(sqrt(20)/sqrt(2))))/((sqrt(450)/sqrt(9))/sqrt(10) - sqrt(100)/sqrt(5)).
4*sqrt(2)
Simplify -4 + 2 + (4*(5*(sqrt(1331) + -1) + -5*(sqrt(1331) + -3) + sqrt(1331)) + 0)**2.
3520*sqrt(11) + 22894
Simplify 5 + -5 + sqrt(19) + (sqrt(19) + sqrt(19) + 1)*-6 + (2 + 1 + sqrt(1539))**2 + 3.
43*sqrt(19) + 1545
Simplify (3 + (1*2*sqrt(85))/sqrt(5))*1 - (6*-2*sqrt(102))/(sqrt(6) - (sqrt(54) - sqrt(6))*5)*3.
-2*sqrt(17) + 3
Simplify -3*-4*(3 + -4*sqrt(32)*4 + 1 + 0 + sqrt(32) + 1)**2.
-7200*sqrt(2) + 86700
Simplify -5*(1 + sqrt(15)/(2*sqrt(5)) + (sqrt(147) + -1)**2 + 1 + 3).
-765 + 135*sqrt(3)/2
Simplify ((sqrt(190)/sqrt(40))**2 + sqrt(133)/sqrt(28) - sqrt(152)/(sqrt(392) + -2*sqrt(392)))*-2 + 4 + -5.
-21/2 - 9*sqrt(19)/7
Simplify 5*(sqrt(896)/sqrt(8) + sqrt(252)/sqrt(4))**2 - ((-4 + sqrt(448)*-2)*-6)**2.
-63373 - 4608*sqrt(7)
Simplify (sqrt(1584)*2*6 + sqrt(1584) + 2 + sqrt(1584)*-2 + 5 + 2*(-2*sqrt(1584)*-2 + (sqrt(1584) - (sqrt(1584) + 0)*4)))**2.
2184*sqrt(11) + 267745
Simplify 2*(-4 + -2 + sqrt(153) + (sqrt(85) - (sqrt(85) - ((sqrt(85) + sqrt(85)*1 - sqrt(85)) + sqrt(85)))*-2)/sqrt(5))**2 + 3.
-48*sqrt(17) + 211
Simplify (4 + -5*sqrt(720) + sqrt(720)*3 + 2 + sqrt(720) + 3)**2*3*-3.
-7209 + 1944*sqrt(5)
Simplify -4 + 2*((((sqrt(468) + -2)*6)**2 - -1*(sqrt(468) + -2*sqrt(468))) + sqrt(468) + -2 + sqrt(468) + -2 + sqrt(468) + -6*-3*sqrt(468)).
-1488*sqrt(13) + 33972
Simplify 0 + ((sqrt(65) - (sqrt(65) - (sqrt(65)*-2*-4 + sqrt(65)) - sqrt(65)) - sqrt(65)) + ((-1*sqrt(65) - sqrt(65))*-3 - sqrt(65)))/(-2*-2*sqrt(605)).
7*sqrt(13)/22
Simplify (-3 + -5*(-4 + 1*sqrt(125) - 6*(sqrt(125) - 2*sqrt(125))))**2 + 3.
-5950*sqrt(5) + 153417
Simplify (-3*5*2*(sqrt(833) + 2 + 0 - (((sqrt(833) - ((sqrt(833)*2 - sqrt(833)) + sqrt(833))) + sqrt(833))*-3 + sqrt(833)))*1)**2.
3600
Simplify (5 + (-4 + ((sqrt(363) - (sqrt(363) - (-2 + sqrt(363)))) + 2)*-3 + 3 + sqrt(363) + sqrt(363)*-1 + 5 + sqrt(363) + 0)*-5)**2.
-3300*sqrt(3) + 36525
Simplify 4*(-4*-5*(sqrt(88)*-3 + sqrt(88)))/(sqrt(32)/(sqrt(16)/sqrt(4)*3)) + 1.
-480*sqrt(11) + 1
Simplify 3 + (-6*(sqrt(833) + 0) + -2)**2 + ((sqrt(833) + -1)**2*-6 - ((sqrt(833)*2 + sqrt(833))**2 + -5)) + -5.
252*sqrt(17) + 17494
Simplify (5 + 3 + sqrt(8) + 2)**2 - ((sqrt(8)/(sqrt(112)/sqrt(7)))**2 + 0).
40*sqrt(2) + 215/2
Simplify (((5 + sqrt(208) - (sqrt(208) + 5))*-3)**2 - (3 + 3 + sqrt(1573) + 0)) + 0.
-11*sqrt(13) - 6
Simplify -5 + 3*(sqrt(160)/(1*sqrt(8)) - sqrt(140)/(sqrt(14)/sqrt(2)))/((2*sqrt(80))/sqrt(8)*3).
-5
Simplify -5 + (3 + sqrt(11)*2*3 + -3 + 1 + sqrt(1331))**2 + 1 + 0.
34*sqrt(11) + 3176
Simplify (sqrt(130) + sqrt(130)*2*1 - (-2*sqrt(130)*2 + sqrt(130) - sqrt(130)))/(-2*5*2*sqrt(360)) + 2.
-7*sqrt(13)/120 + 2
Simplify (3 + 3 + 5 + 0 + sqrt(1539))**2 + (-3*(0 + (3*sqrt(76)*5)/sqrt(4)))**2.
198*sqrt(19) + 40135
Simplify 6*(((sqrt(1331) + -1)**2*5 - (sqrt(1331) + 1 + sqrt(1331) + -4)) + (sqrt(1331) + (-2 + (sqrt(1331) + -3 - sqrt(1331)) - sqrt(1331) - sqrt(1331)))*3).
-990*sqrt(11) + 39888
Simplify (sqrt(4536) + sqrt(4536)*-2 - sqrt(4536))/(1*sqrt(64)/sqrt(8)) - (-3*sqrt(252) + sqrt(252))/(sqrt(9) - -4*sqrt(9)*2).
-158*sqrt(7)/9
Simplify 1 + (5*-2*sqrt(2200)*4)/(6*sqrt(275) + sqrt(11) + (sqrt(88) - -3*sqrt(88))/sqrt(8)) + 0.
-80*sqrt(2)/7 + 1
Simplify ((sqrt(336) - (sqrt(336) - (sqrt(336) - (sqrt(336)*2 - sqrt(336)))*-1))*-5)/((sqrt(6)*-4)/sqrt(2) + sqrt(12)/(2*sqrt(4))).
0
Simplify (-4*(sqrt(147) + ((sqrt(147) + 1)*1 - sqrt(147))) + -6*(-2 + 2*-1*sqrt(3)))**2.
-256*sqrt(3) + 832
Simplify 3*1*(3*(sqrt(90) - (-1*sqrt(90) + sqrt(90) + sqrt(90) + sqrt(90))))/((sqrt(6)/sqrt(12) - sqrt(2)) + sqrt(2) + sqrt(450)).
-54*sqrt(5)/31
Simplify ((-5 + sqrt(19)*-3 + (sqrt(19) - sqrt(475)*-1) - -5*(1 + sqrt(76))**2*5) + -3)*4.
412*sqrt(19) + 7668
Simplify -5 + (sqrt(1331) - ((1*sqrt(1331) - sqrt(1331)) + 0) - -4*sqrt(1331)*1)**2*-4 + 0 + 3.
-133102
Simplify 1*(4 + -5 + (-6*(3*sqrt(4032) + sqrt(4032)) + sqrt(4032))**2 + -3).
213292 | {
"pile_set_name": "DM Mathematics"
} |
Let o = -3 + 4. Let k(s) = o*p(s) - 4*y(s). Determine g*k(u) - 7*i(u).
-u**2
Let w(b) = 2*b**2 - 4*b + 3. Let z be w(2). Let k(n) = -n**2 - 4*n + 1. Let f(g) = -2*g**2 - 7*g + 2. What is z*f(i) - 5*k(i)?
-i**2 - i + 1
Let m(r) = r**2 - 7*r + 6. Suppose 3*l - 8*l + 25 = 0. Let v(k) = k - 1. Calculate l*v(i) + m(i).
i**2 - 2*i + 1
Let t(r) = -3*r**3 + 4*r**3 + r**3 - 6*r**2 - 3*r + 0*r. Let g(n) = -n**2. Determine -6*g(b) + t(b).
2*b**3 - 3*b
Let d(u) = 3*u**3 - 21*u**2 - 21*u + 21. Let g(n) = -n**3 + 5*n**2 + 5*n - 5. Suppose 120 = 5*l + 95. Determine l*d(o) + 21*g(o).
-6*o**3
Let f(i) = 2*i**3 + 3*i**2 + 3. Let c(u) = -5*u**3 - 7*u**2 - 7. Calculate -3*c(p) - 7*f(p).
p**3
Let m(h) = 988*h**3. Let a(f) = 19*f**3. Calculate 209*a(l) - 4*m(l).
19*l**3
Let c(m) be the third derivative of -m**4/4 + 5*m**3/6 + 11*m**2. Let q = 30 + -8. Let o(k) = k - 1. Suppose 5*x - 16 = x. Calculate q*o(v) + x*c(v).
-2*v - 2
Let r(a) = -a + 1. Let d(x) = 5*x + 4. What is d(f) + 3*r(f)?
2*f + 7
Suppose w = o - 3, -3*o - 1 = w - 6. Let p(s) = 2*s + o + s - 2*s. Suppose -z + 6*z + 20 = 0. Let j(v) = 4*v + 7. Give z*j(x) + 14*p(x).
-2*x
Let c = 51 + -50. Let v(r) = r**2 - r. Let t(w) = -6*w**2 + 2*w. Determine c*t(i) + 4*v(i).
-2*i**2 - 2*i
Let w(i) = -i**2 - i - 1. Let c(z) = -3*z + 2*z + z**2 + 2 + 3*z. Let f = -7 - -8. Determine f*c(v) + 2*w(v).
-v**2
Let m(p) = p + 3. Let a(b) = b**3 + b + 3. Let z(v) = v**3 + v + 3. Let f(x) = 3*a(x) - 4*z(x). Calculate 2*f(n) + 3*m(n).
-2*n**3 + n + 3
Let y(c) = 86*c**2 + 1. Let r(n) = 258*n**2 + 3. Give 3*r(a) - 8*y(a).
86*a**2 + 1
Let d(u) = 7*u + 5. Let h(p) be the first derivative of -3/2*p**2 - 2*p + 1. Determine -2*d(o) - 5*h(o).
o
Let a(k) = -4*k**3 + 2*k**2 - 1. Let l(t) be the first derivative of 9*t**4/4 - 5*t**3/3 + t**2/2 + 2*t - 5. What is 5*a(z) + 2*l(z)?
-2*z**3 + 2*z - 1
Let s(q) = 4*q + 1. Let c(v) = -v + 106 + 7*v - 105. Determine -5*c(z) + 7*s(z).
-2*z + 2
Let b(z) = 7*z + 4. Let i = 1 + 2. Suppose i*h - 6*h = -39. Let c(u) be the second derivative of -5*u**3/2 - 9*u**2/2 - 3*u. What is h*b(w) + 6*c(w)?
w - 2
Let s(o) = 3*o**2 - 3*o + 3. Let g(w) = -10*w**2 + 8*w - 8. Give 3*g(c) + 8*s(c).
-6*c**2
Let y(i) = 1. Let n(r) = -r**3 + 6. Let p be ((-2)/(-4))/((-2)/(-20)). Let q = 59 + -55. Suppose -2*k - 2 = 2*t - 3*k, 5*t + p = q*k. Give t*n(g) + 4*y(g).
g**3 - 2
Let u(x) = -29*x**3 - 4*x - 4. Let o(v) = -28*v**3 - 5*v - 5. Calculate 4*o(n) - 5*u(n).
33*n**3
Let u(c) = -2*c**2 - 5*c + 4. Let k(z) = -5*z**2 - 11*z + 9. Suppose 4*a = 5*a + 3. What is a*k(p) + 7*u(p)?
p**2 - 2*p + 1
Let s(i) be the third derivative of -5*i**4/12 - 8*i**3/3 - 3*i**2. Let l(r) = -r - 1. Let w(n) = 7*n + 9. Let d(a) = 4*l(a) + w(a). Give 16*d(u) + 5*s(u).
-2*u
Let c(z) = z**3 - z + 1. Let q(f) = 2*f**3 - 3*f + 3. What is 3*c(h) - q(h)?
h**3
Let k(i) = -15*i + 13. Let o(u) = 2*u + 1. Let t be o(3). Let m(y) = 11*y - t + y - 4*y. Calculate 6*k(p) + 11*m(p).
-2*p + 1
Let v(g) = -17*g**3 + 7*g**2 + 7*g. Let j(t) = -8*t**3 + 3*t**2 + 3*t. What is 7*j(z) - 3*v(z)?
-5*z**3
Let y(f) = -6*f**2 + 3*f + 3. Let u(q) = -36*q**2 + 16*q + 16. Let h(x) = -18*x**2 + 8*x + 8. Let m(g) = 5*h(g) - 3*u(g). Give 3*m(c) + 8*y(c).
6*c**2
Let a(i) = -2*i - 3. Let c(p) = -p + 1. Let w(t) = 2*t + 7. Let m(d) = -2*c(d) + w(d). Determine -5*a(l) - 3*m(l).
-2*l
Let m(f) = 7*f**2 - 4*f - 5. Let u(p) = 4*p**2 + 0 + 3*p + 0*p - 10*p**2 + 4. Calculate 4*m(g) + 5*u(g).
-2*g**2 - g
Let r(h) = -287*h**3 - 41*h**2 + 41*h + 41. Let o(b) = 36*b**3 + 5*b**2 - 5*b - 5. Calculate -41*o(w) - 5*r(w).
-41*w**3
Suppose f - 3 = -2*f. Let c(p) = -1. Let y(o) = -o**3 + 5*o**2 - 4*o + 2. Let i be y(4). Let z(d) = -2*d + i - 4 + 2. What is f*c(b) + z(b)?
-2*b - 1
Let n(c) = c + 2. Let v be (0 - -4)/8 + (-14)/(-4). Let a(i) = -2*i - 2. What is v*n(k) + 3*a(k)?
-2*k + 2
Let z(a) = 2*a**3 - 13*a**2 + 15*a + 2. Let k(c) = c**3 - 6*c**2 + 7*c + 1. What is -13*k(u) + 6*z(u)?
-u**3 - u - 1
Let j(u) = 2*u + 1. Let a(y) = -2*y - 1. Suppose -20 - 5 = 5*s. Give s*j(z) - 6*a(z).
2*z + 1
Let z(l) = -l - 11. Let a(w) = 1. Let c(k) = k**3 + 7*k**2 + 4. Let r be c(-7). Calculate r*z(v) + 44*a(v).
-4*v
Let r(g) = -4*g + 4. Let z = 15 - 19. Let b(n) = 3*n - 3. Determine z*r(x) - 5*b(x).
x - 1
Let b(o) = 4*o. Let p(m) = 2*m - 9. Suppose -3*s + 1 = -2*s, 0 = -5*k - 3*s + 33. Let l be p(k). Let n(u) = -5*u + 4*u - 4*u. What is l*b(r) + 2*n(r)?
2*r
Let o(j) = 36*j**2 - 27*j + 27. Let g(q) = -5*q**2 + 4*q - 4. Calculate 27*g(f) + 4*o(f).
9*f**2
Let j(s) be the first derivative of -5*s**2 - 2*s + 1. Let l be -11 - 3*(1 - 0)*-1. Let w(i) = -i. Calculate l*w(n) + j(n).
-2*n - 2
Let r(c) = -c**2. Suppose -6*z + z = -5*i - 35, -2*i = -z + 9. Let l = 3 + -2. Let s(g) = 2*g + 1 + 4*g**2 - 2*g**2 - 6*g**2. Calculate i*r(u) + l*s(u).
-2*u**2 + 2*u + 1
Let w(c) = -14*c + 4*c + 13 - 3*c - 4*c**2. Let p(r) = -3*r**2 - 9*r + 9. Let z(f) = -6*f**3 + f**2 + f - 1. Let q be z(1). Give q*w(s) + 7*p(s).
-s**2 + 2*s - 2
Let q(z) = 3*z**2 - 4*z - 6. Let u(l) = 3*l**2 - 3*l - 5. Let w be (6/4)/(15/(-30)). Give w*q(n) + 4*u(n).
3*n**2 - 2
Let p(k) = -1 + 11*k + 3 + 15. Let h(f) = 2*f + 3. Give 34*h(i) - 6*p(i).
2*i
Let g(q) = q + 3. Let x be g(-7). Let v(h) = 5*h**2 + 4*h + 2. Suppose 5 = 3*y - 4*y. Let o(w) = -6*w**2 - 5*w - 2. Determine x*o(l) + y*v(l).
-l**2 - 2
Let l(s) = 2*s**2 + 5*s + 5. Let f(c) = -7*c - 12*c**2 + 11*c + 14*c**2 + 4. Determine -5*f(m) + 4*l(m).
-2*m**2
Suppose 0*y - 4 = 4*y, -8 = -5*f - 2*y. Let d(h) = 6*h**3 + 10. Let l(n) = 2*n**3 + 3. Determine f*d(q) - 7*l(q).
-2*q**3 - 1
Let n(y) = 1. Suppose -2*o = 4*f + 6, -2*f = 3*o + 2*o + 23. Let g(s) = -4*s + 7. Let m(t) = 5*t - 11. Let p(v) = -3*g(v) - 2*m(v). What is f*p(i) - 2*n(i)?
2*i - 1
Let o(z) = 11*z - 6*z + 6*z**2 - 25*z - 23. Let d(n) = 2*n**2 - 7*n - 8. Suppose -i + 0 + 17 = 0. Give i*d(p) - 6*o(p).
-2*p**2 + p + 2
Let f(m) = 2*m**2 + 4*m - 3. Let z(c) = -2*c**2 - 5*c + 4. What is -5*f(t) - 4*z(t)?
-2*t**2 - 1
Let s be (6/(-10))/((-2)/10). Let c(x) = -2*x. Let m(i) = 5*i + 2*i - 9*i + i. Give s*c(o) - 4*m(o).
-2*o
Let j(i) = i + 1. Let s(w) = 3*w. Let h(q) = -2*j(q) - s(q). Let b(m) = -9*m - 4. Calculate -6*b(k) + 11*h(k).
-k + 2
Let j(f) = -8*f**2 - 2*f - 6. Let i(u) = 23*u**2 + 5*u + 17. Determine -4*i(g) - 11*j(g).
-4*g**2 + 2*g - 2
Let o(f) = 3*f + 6. Let n(s) = 3*s + 5. Let z = -41 - -36. Calculate z*n(r) + 4*o(r).
-3*r - 1
Let g(i) = -2*i**2 + 4*i. Let t(l) = l**2 - 3*l. Suppose -5*a = 2*k + 20, 3*k + 3*a = -0*a - 12. Suppose k*m + 2 = -m. Determine m*g(c) - 3*t(c).
c**2 + c
Let q be 1/(-1) - (13 - 16). Let i(d) = d + 4*d + 2 - d. Let u(o) = -o - 1. Give q*u(y) + i(y).
2*y
Let r(g) = -4*g. Let m(s) = 5*s + 1. Let h(j) = -3*m(j) - 4*r(j). Let z(f) be the second derivative of -2*f**3/3 + 13*f**2/2 + 2*f. Calculate 26*h(t) + 6*z(t).
2*t
Let b(r) = 7*r**2 - 4*r + 2. Let g(z) = 8*z**2 - 5*z + 1. Calculate 4*b(c) - 3*g(c).
4*c**2 - c + 5
Let o(f) = f**2 - 17*f - 13. Let n(r) = -4*r + 1. Let z(t) = 1. Let b(q) = -n(q) + 4*z(q). Determine -9*b(k) - 2*o(k).
-2*k**2 - 2*k - 1
Let j(m) = 3*m + 2. Let h be (-10 + (-2 - -2))/2. Let i(z) = -3*z - 2. What is h*j(c) - 6*i(c)?
3*c + 2
Let s(f) = -6*f - 12. Let k(r) = -6*r - 11. Let l(w) = 4*k(w) - 5*s(w). Let b(a) = -a - 3. Suppose -u + 5 - 4 = 0. Suppose 0 = m + 1 + u. Give m*l(h) - 11*b(h).
-h + 1
Suppose 3*u = -3*u. Let g be (-3)/(-6) + (-1)/(-2). Let a(x) = 4*x + g + 3 + 0 + u - 2*x**2. Let z(r) = -5*r**2 + 11*r + 11. Calculate -11*a(h) + 4*z(h).
2*h**2
Let y(i) = i**2 - 6*i - 4. Let o be y(6). Suppose 1 + 0 = -q. Let h be 2*(o - -2 - q). Let v(l) = 5*l + 13. Let r(g) = g + 3. Give h*v(k) + 9*r(k).
-k + 1
Let s(j) = -j**3. Let o(b) = -b**3 + 2*b**2 + 2*b + 1. Give -o(k) - 2*s(k).
3*k**3 - 2*k**2 - 2*k - 1
Let w(s) = -5*s + 19*s + 6*s + 6 + s. Let q(l) = -4*l - 1. Determine 11*q(z) + 2*w(z).
-2*z + 1
Let x(y) = 11*y + 4. Let r(p) = -5*p - 2. Let m(t) = 14*r(t) + 6*x(t). Let v(s) = 6*s + 6. What is -7*m(j) - 5*v(j)?
-2*j - 2
Let d be 2/1 + 0/(-8). Suppose c + 3 + d = 0. Let m(y) = -7*y + 6. Let r = 5 + 1. Let w(f) = -6*f + 5. What is c*m(u) + r*w(u)?
-u
Let l(z) = -16*z**2 - 16*z - 17 + 10 + 4*z**3 - 9. Let r(c) = -c**3 + 5*c**2 + 5*c + 5. Calculate -5*l(g) - 16*r(g).
-4*g**3
Let y(x) = 34 + x + 39 - 74. | {
"pile_set_name": "DM Mathematics"
} |
equence ub.
1/24
Four letters picked without replacement from {d: 1, u: 5, n: 3, z: 7, g: 3}. What is prob of sequence zgnz?
21/5168
Calculate prob of sequence hnn when three letters picked without replacement from nnnnnnhnhnnnnnh.
66/455
Two letters picked without replacement from asnqdeqs. Give prob of sequence ed.
1/56
Three letters picked without replacement from ryiyrrrryiyryriiyrr. What is prob of sequence rry?
24/323
Two letters picked without replacement from {a: 4, s: 2}. What is prob of sequence sa?
4/15
What is prob of sequence knnk when four letters picked without replacement from nnknk?
1/10
What is prob of sequence unn when three letters picked without replacement from {u: 2, n: 2}?
1/6
Two letters picked without replacement from {r: 4, x: 4, a: 2, y: 4}. What is prob of sequence yx?
8/91
What is prob of sequence jxnv when four letters picked without replacement from vnjccxh?
1/840
What is prob of sequence juev when four letters picked without replacement from {e: 2, u: 2, v: 1, j: 1, n: 1}?
1/210
Three letters picked without replacement from ddev. What is prob of sequence ded?
1/12
What is prob of sequence flf when three letters picked without replacement from {l: 2, f: 8, j: 2}?
14/165
What is prob of sequence gtv when three letters picked without replacement from {t: 1, v: 1, g: 1, l: 1, q: 1}?
1/60
Calculate prob of sequence rwr when three letters picked without replacement from ttrwttrwttt.
2/495
Calculate prob of sequence mv when two letters picked without replacement from myvmmhmmumtmmyyhhvmu.
9/190
What is prob of sequence pp when two letters picked without replacement from aiippiraara?
1/55
Four letters picked without replacement from uuugaeiu. What is prob of sequence iuei?
0
Three letters picked without replacement from {g: 1, e: 2, n: 2}. Give prob of sequence ege.
1/30
Calculate prob of sequence qvdm when four letters picked without replacement from dmdvmkmmlmmqmmk.
2/4095
Three letters picked without replacement from uixbuxzibibbibuzib. Give prob of sequence xzz.
1/1224
Three letters picked without replacement from {i: 1, o: 7, v: 2, n: 4}. Give prob of sequence ooo.
5/52
Three letters picked without replacement from vvkkkvk. What is prob of sequence kvk?
6/35
Three letters picked without replacement from {z: 1, v: 2, q: 1, y: 1, r: 2}. What is prob of sequence zrr?
1/105
What is prob of sequence vvvv when four letters picked without replacement from {v: 10}?
1
What is prob of sequence llll when four letters picked without replacement from lllll?
1
Calculate prob of sequence rr when two letters picked without replacement from {t: 3, r: 3, l: 1}.
1/7
Calculate prob of sequence kgey when four letters picked without replacement from yegyyykeeugyygykeu.
7/3060
Two letters picked without replacement from weozttom. Give prob of sequence mz.
1/56
Four letters picked without replacement from {q: 5, e: 3}. What is prob of sequence qqqe?
3/28
Two letters picked without replacement from {c: 1, d: 3, y: 4, z: 1, g: 1, t: 5}. Give prob of sequence dz.
1/70
What is prob of sequence ae when two letters picked without replacement from {h: 2, s: 1, a: 1, e: 1}?
1/20
Four letters picked without replacement from aaaa. What is prob of sequence aaaa?
1
Two letters picked without replacement from sbytytsyyattbttyyd. Give prob of sequence yt.
2/17
Calculate prob of sequence iut when three letters picked without replacement from iaytttyibyiaatu.
2/455
Calculate prob of sequence fzzf when four letters picked without replacement from ffffzfffzffffzffff.
7/408
Three letters picked without replacement from {j: 10, n: 2}. What is prob of sequence jnn?
1/66
What is prob of sequence pepi when four letters picked without replacement from eieeeeeeppipeepeppe?
55/7752
Two letters picked without replacement from {u: 4, f: 2, l: 1, g: 1, q: 9}. What is prob of sequence ff?
1/136
Two letters picked without replacement from {e: 1, m: 4, k: 2, o: 9}. What is prob of sequence mm?
1/20
Calculate prob of sequence yss when three letters picked without replacement from lsllyslqqsyls.
2/143
Four letters picked without replacement from fnfefqhnhfnffeh. Give prob of sequence fhqh.
1/910
What is prob of sequence vjy when three letters picked without replacement from {y: 2, o: 2, v: 5, i: 8, j: 1}?
5/2448
What is prob of sequence rr when two letters picked without replacement from rrrrrfrffrrrrrfrrfr?
91/171
Four letters picked without replacement from {g: 1, b: 18}. Give prob of sequence bbbg.
1/19
Three letters picked without replacement from qjjdjqjjjdddqqddj. Give prob of sequence jjq.
7/170
What is prob of sequence qvy when three letters picked without replacement from {q: 1, y: 1, t: 1, v: 1, l: 2, c: 1}?
1/210
What is prob of sequence hh when two letters picked without replacement from khhhkhhhhkhhhhhhkhhk?
21/38
What is prob of sequence vr when two letters picked without replacement from rvzvrzrrrv?
1/6
Four letters picked without replacement from bpesbrebsvrbrp. What is prob of sequence bbvr?
3/2002
Three letters picked without replacement from cacrkkkarkeaerre. Give prob of sequence ckc.
1/420
What is prob of sequence evw when three letters picked without replacement from vvvvvvoevvvuuquvvow?
11/5814
Calculate prob of sequence aa when two letters picked without replacement from {a: 4}.
1
Four letters picked without replacement from rnqqxdrxkdnknqn. What is prob of sequence qdnr?
2/1365
Two letters picked without replacement from {a: 4, s: 3}. What is prob of sequence sa?
2/7
What is prob of sequence ph when two letters picked without replacement from {h: 4, e: 7, p: 5}?
1/12
Four letters picked without replacement from {y: 1, n: 2, x: 3, h: 4, p: 2, r: 2}. Give prob of sequence hrry.
1/3003
Four letters picked without replacement from {g: 2, q: 1, e: 3, i: 6}. What is prob of sequence qgei?
1/330
Two letters picked without replacement from {u: 1, f: 1, a: 11, w: 1, v: 1, d: 3}. What is prob of sequence vw?
1/306
Calculate prob of sequence zzmm when four letters picked without replacement from zmmz.
1/6
What is prob of sequence dyyd when four letters picked without replacement from ndmmmxdnnmmy?
0
Calculate prob of sequence iiip when four letters picked without replacement from {p: 5, i: 8}.
14/143
Two letters picked without replacement from {q: 1, i: 1, e: 1}. What is prob of sequence qi?
1/6
Three letters picked without replacement from {d: 2, h: 4}. What is prob of sequence hhh?
1/5
Three letters picked without replacement from nhhbnnihnkxk. What is prob of sequence ihn?
1/110
Two letters picked without replacement from vcccvhjccvgcsccvc. Give prob of sequence cc.
9/34
Three letters picked without replacement from dvhcddt. Give prob of sequence dtc.
1/70
What is prob of sequence yyqq when four letters picked without replacement from yqqyqqyyyyqyyyyyyyq?
65/1292
Calculate prob of sequence ms when two letters picked without replacement from {n: 3, s: 1, m: 3}.
1/14
What is prob of sequence hj when two letters picked without replacement from {j: 4, h: 2}?
4/15
Two letters picked without replacement from jfqjlljjjqljfqj. Give prob of sequence jj.
1/5
What is prob of sequence ye when two letters picked without replacement from yyeeeeyeyei?
12/55
What is prob of sequence pue when three letters picked without replacement from upe?
1/6
What is prob of sequence oooo when four letters picked without replacement from ooyooyoyooooooo?
33/91
What is prob of sequence irqg when four letters picked without replacement from irqrgg?
1/90
What is prob of sequence ym when two letters picked without replacement from {m: 14, y: 4}?
28/153
Calculate prob of sequence dbq when three letters picked without replacement from qqdbbbqddqdqdddd.
1/28
Three letters picked without replacement from {e: 6, l: 6, q: 2, r: 4}. Give prob of sequence rre.
1/68
Two letters picked without replacement from {b: 1, j: 4, a: 3, k: 1, l: 2}. What is prob of sequence aj?
6/55
Four letters picked without replacement from {o: 2, v: 2, u: 5, z: 3, k: 3}. Give prob of sequence ukvk.
1/546
What is prob of sequence qq when two letters picked without replacement from {u: 6, q: 4}?
2/15
What is prob of sequence cuc when three letters picked without replacement from uucc?
1/6
Three letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
there between 9:18 AM and 11:57 AM?
159
How many minutes are there between 4:13 AM and 10:27 AM?
374
What is 217 minutes after 2:33 AM?
6:10 AM
How many minutes are there between 11:52 PM and 11:21 AM?
689
How many minutes are there between 1:20 PM and 6:18 PM?
298
What is 252 minutes before 8:59 AM?
4:47 AM
What is 462 minutes before 12:22 AM?
4:40 PM
How many minutes are there between 6:56 PM and 2:29 AM?
453
How many minutes are there between 10:54 AM and 1:41 PM?
167
What is 501 minutes after 10:56 AM?
7:17 PM
How many minutes are there between 11:23 AM and 12:02 PM?
39
How many minutes are there between 11:24 PM and 8:57 AM?
573
How many minutes are there between 11:27 PM and 12:58 AM?
91
How many minutes are there between 9:38 AM and 4:47 PM?
429
What is 149 minutes after 5:34 PM?
8:03 PM
How many minutes are there between 8:48 AM and 2:03 PM?
315
How many minutes are there between 5:06 PM and 9:19 PM?
253
How many minutes are there between 8:34 PM and 8:59 PM?
25
How many minutes are there between 1:50 PM and 4:06 PM?
136
What is 705 minutes after 12:18 PM?
12:03 AM
What is 538 minutes after 12:20 AM?
9:18 AM
How many minutes are there between 4:04 AM and 5:51 AM?
107
What is 644 minutes after 8:16 AM?
7:00 PM
What is 387 minutes before 4:57 AM?
10:30 PM
How many minutes are there between 2:06 AM and 1:46 PM?
700
How many minutes are there between 9:26 PM and 1:29 AM?
243
What is 318 minutes after 6:07 PM?
11:25 PM
What is 154 minutes before 10:17 AM?
7:43 AM
How many minutes are there between 7:47 AM and 3:55 PM?
488
How many minutes are there between 12:53 AM and 10:17 AM?
564
What is 54 minutes before 12:02 PM?
11:08 AM
What is 63 minutes after 10:06 PM?
11:09 PM
What is 463 minutes after 12:42 AM?
8:25 AM
How many minutes are there between 10:51 PM and 1:52 AM?
181
How many minutes are there between 7:56 AM and 12:42 PM?
286
How many minutes are there between 2:22 PM and 12:19 AM?
597
What is 430 minutes after 3:28 AM?
10:38 AM
How many minutes are there between 10:01 AM and 11:10 AM?
69
What is 176 minutes after 10:56 PM?
1:52 AM
How many minutes are there between 3:26 PM and 1:37 AM?
611
What is 92 minutes before 8:21 AM?
6:49 AM
How many minutes are there between 11:42 AM and 5:03 PM?
321
How many minutes are there between 2:36 AM and 1:56 PM?
680
What is 532 minutes after 12:46 AM?
9:38 AM
What is 446 minutes after 12:25 PM?
7:51 PM
How many minutes are there between 11:17 PM and 6:55 AM?
458
How many minutes are there between 10:48 PM and 12:29 AM?
101
How many minutes are there between 9:14 AM and 6:42 PM?
568
What is 266 minutes before 4:00 PM?
11:34 AM
What is 327 minutes after 9:17 PM?
2:44 AM
What is 680 minutes after 10:28 AM?
9:48 PM
What is 191 minutes before 1:06 PM?
9:55 AM
How many minutes are there between 1:15 AM and 8:13 AM?
418
How many minutes are there between 4:01 PM and 8:57 PM?
296
How many minutes are there between 9:56 AM and 5:39 PM?
463
What is 538 minutes after 4:28 PM?
1:26 AM
What is 646 minutes before 6:34 PM?
7:48 AM
What is 56 minutes after 2:19 AM?
3:15 AM
What is 652 minutes after 12:40 AM?
11:32 AM
What is 473 minutes after 10:27 PM?
6:20 AM
How many minutes are there between 8:12 PM and 1:49 AM?
337
What is 342 minutes after 1:28 AM?
7:10 AM
What is 468 minutes after 4:28 PM?
12:16 AM
What is 462 minutes after 11:28 AM?
7:10 PM
How many minutes are there between 6:38 AM and 1:17 PM?
399
What is 423 minutes after 11:08 AM?
6:11 PM
How many minutes are there between 8:31 PM and 2:16 AM?
345
What is 27 minutes after 10:18 PM?
10:45 PM
What is 181 minutes after 8:30 AM?
11:31 AM
What is 670 minutes before 11:40 PM?
12:30 PM
What is 25 minutes after 10:29 PM?
10:54 PM
What is 421 minutes after 8:59 AM?
4:00 PM
What is 372 minutes before 9:27 PM?
3:15 PM
What is 154 minutes before 11:39 PM?
9:05 PM
How many minutes are there between 3:49 PM and 2:17 AM?
628
What is 560 minutes after 1:12 PM?
10:32 PM
What is 325 minutes before 11:49 AM?
6:24 AM
How many minutes are there between 5:55 PM and 3:46 AM?
591
What is 570 minutes after 11:53 AM?
9:23 PM
What is 504 minutes before 3:42 AM?
7:18 PM
How many minutes are there between 2:41 PM and 8:09 PM?
328
How many minutes are there between 9:19 PM and 10:26 PM?
67
What is 11 minutes after 1:42 AM?
1:53 AM
How many minutes are there between 7:06 PM and 4:57 AM?
591
What is 623 minutes before 4:21 AM?
5:58 PM
What is 408 minutes after 12:42 AM?
7:30 AM
What is 445 minutes after 5:46 AM?
1:11 PM
What is 402 minutes before 8:12 AM?
1:30 AM
How many minutes are there between 2:30 PM and 1:13 AM?
643
What is 360 minutes before 10:00 AM?
4:00 AM
How many minutes are there between 3:00 PM and 4:17 PM?
77
What is 480 minutes before 2:31 PM?
6:31 AM
What is 552 minutes before 10:03 AM?
12:51 AM
How many minutes are there between 2:22 PM and 2:04 AM?
702
How many minutes are there between 5:21 AM and 4:38 PM?
677
What is 592 minutes before 1:10 AM?
3:18 PM
What is 678 minutes before 5:52 AM?
6:34 PM
How many minutes are there between 7:45 AM and 7:10 PM?
685
What is 700 minutes before 7:09 PM?
7:29 AM
What is 360 minutes after 10:05 PM?
4:05 AM
What is 35 minutes after 2:43 AM?
3:18 AM
How many minutes are there between 8:44 PM and 12:56 AM?
252
What is 456 minutes after 6:36 AM?
2:12 PM
How many minutes are there between 5:52 AM and 4:22 PM?
630
How many minutes are there between 5:29 PM and 3:39 AM?
610
What is 315 minutes after 6:30 AM?
11:45 AM
What is 391 minutes before 11:42 PM?
5:11 PM
What is 309 minutes before 5:03 PM?
11:54 AM
What is 236 minutes before 4:26 AM?
12:30 AM
What is 165 minutes after 1:32 PM?
4:17 PM
What is 697 minutes after 11:16 PM?
10:53 AM
How many minutes are there between 7:13 PM and 11:27 PM?
254
What is 238 minutes after 9:13 PM?
1:11 AM
How many minutes are there between 3:24 AM and 10:18 AM?
414
What is 186 minutes before 5:08 PM?
2:02 PM
How many minutes are there between 11:33 AM and 10:30 PM?
657
What is 353 minutes before 12:22 PM?
6:29 AM
How many minutes are there between 4:18 PM and 4:05 AM?
707
How many minutes are there between 5:50 PM and 8:35 PM?
165
How many minutes are there between 11:33 PM and 11:53 PM?
20
How many minutes are there between 4:34 AM and 3:26 PM?
652
How many minutes are there between 11:33 AM and 2:09 PM?
156
What is 88 minutes before 4:45 AM?
3:17 AM
How many minutes are there between 4:44 AM and 2:41 PM?
597
What is 578 minutes after 2:30 PM?
12:08 AM
How many minutes are there between 9:12 PM and 1:38 AM?
266
What is 354 minutes after 9:35 PM?
3:29 AM
What is 691 minutes after 6:27 PM?
5:58 AM
How many minutes are there between 9:44 PM and 8:04 AM?
620
How many minutes are there between 1:55 AM and 7:37 AM?
342
What is 44 minutes after 8:45 AM?
9:29 AM
How many minutes are there between 3:32 AM and 5:57 AM?
145
What is 599 minutes before 4:37 AM?
6:38 PM
What is 587 minutes before 7:16 AM?
9:29 PM
What is 235 minutes after 3:30 PM?
7:25 PM
What is 704 minutes after 4:59 AM?
4:43 PM
What is 12 minutes before 1:02 PM?
12:50 PM
How many minutes are there between 6:20 PM and 8:42 PM?
142
How many minutes are there between 2:41 AM and 6:37 AM?
236
What is 467 minutes before 2:05 AM?
6:18 PM
How many minutes are there between 9:42 PM and 5:28 AM?
466
What is 344 minutes after 3:52 PM?
9:36 PM
How many minutes are there between 11:40 AM and 4:19 PM?
279
How many minutes are there between 12:39 PM and 10:27 PM?
588
How many minutes are there between 8:32 PM and 1:50 AM?
318
What is 661 minutes after 11:37 AM?
10:38 PM
How many minutes are there between 2:55 AM and 3:01 AM?
6
How many minutes are there between 12:39 PM and 9:59 PM?
560
How many minutes are there between 7:49 PM and 5:40 AM?
591
What is 663 minutes before 9:44 AM?
10:41 PM
How many minutes are there between 6:13 AM and 6:03 PM?
710
What is 49 minutes before 9:50 PM?
9:01 PM
How many minutes are there between 9:46 PM and 5:33 AM?
467
How many minutes are there between 11:28 AM and 5:23 PM?
355
How many minutes are there between 7:02 AM and 5:43 PM?
641
How many minutes are there between 7:11 PM and 6:18 AM?
667
How many minutes are there between 12:34 PM and 8:39 PM?
485
How many minutes are there between 8:10 AM and 7:57 PM?
707
What is 5 | {
"pile_set_name": "DM Mathematics"
} |
4*l - 6*l + 6. Suppose -l*x = -0*x - 12. Solve x*u = -12, u + 7 = 3*a - 11 for a.
5
Let x(k) be the third derivative of k**5/60 + k**4/24 - k**3/6 - k**2. Suppose 3*r - 16 = 7*r. Let d be x(r). Solve s - 5*g = -28, 3*s + 2*g - d = -2*g for s.
-3
Let k = -90 + 92. Solve 5*b = 5*u - 25, 10 = -3*u + k*u - 4*b for u.
2
Suppose 3*h + 1 = 2*h. Let q = h - -5. Solve f = 2*k, -3*f - 2 = -q*f + k for f.
4
Let m be 7/6 + (-11)/66. Suppose 3*q + m = 7. Solve -3*y - 3*b = 7 - 1, -5*b - 10 = -q*y for y.
0
Let c(g) = 19*g**2 + g. Let a be c(1). Let y = -3 - -7. Solve -y = -b, 4*b - a = 3*j - 2*j for j.
-4
Let k = 15 - 10. Solve -9 = -3*c, 5*c - 11 - k = d for d.
-1
Let n(z) = -2*z - 2. Let h be n(-2). Let c be -2 - -3 - 1 - -5. Let w be c/(-2)*6*-1. Solve -h*k + 6 = 2*q, -w = -2*q - q for k.
-2
Suppose 4*k - 4*q - 18 = -2*q, -3*k - 2*q = 4. Suppose 3*l - 3 = -o - 10, 29 = 5*o - l. Solve 15 = -5*d + 2*j, k*d = 7*d + o*j + 50 for d.
-5
Let v(x) = x - 8. Let p be v(7). Let s = 1 - p. Suppose s*h = -2 + 8. Solve -4*f + 3 = h*c, -2*f + c - 7 = 4 for f.
-3
Let y = 48 - 40. Solve r + 3*l = -9, 4*r - 2*r + l = -y for r.
-3
Let k be (-671)/(-44) + (-3)/(-4). Suppose -o = -2*o + k. Solve n + 16 + 9 = 5*x, 0 = -4*x + o for n.
-5
Let g be (-18)/(-10) - 3/(-15). Suppose -2*x = -3*u + 19, g*u - 1 = -x + 7. Solve 2*k - 13 = -3*r, -r - 3*k + 21 = u for r.
1
Suppose 2*w + 5*r - 29 = 0, 0*w + 12 = w + 2*r. Solve 10 = -5*u, -9 = -w*t - u - 1 for t.
5
Let y be -3 - (2 - 10)*1. Let i = 0 + y. Let q = 0 - -3. Solve -4*k - q*c + i*c + 18 = 0, 20 = 3*k + 5*c for k.
5
Let h(m) = 3*m + 2. Let k be h(2). Let o be (4*1)/(4/k). Suppose 0*r - 2*r + o = 0. Solve -5*j - 30 = -5*d, 0 = -2*d + r*j + j + 24 for d.
2
Suppose 0 = 5*o - 61 + 11. Solve o = -5*f + 5*a, 0 = -a + 9 - 4 for f.
3
Let t(c) = 6*c - 2. Let v(l) = 7*l - 2. Let u(j) = -6*t(j) + 5*v(j). Let d be u(4). Let w be 7/3 - d/3. Solve -1 = -s + z - w, -s = 2*z + 5 for s.
-3
Let r(y) = -y**3 - y**2 - y. Let c = 2 - 3. Let l be r(c). Let f be 2*(2 - l) + 1. Solve f*k + 3 = -2*n - 2*n, 2*n = k + 1 for k.
-1
Let o be (0 - -2) + (-9)/(-1). Solve 4*n - o = -3*h - 0*n, 0 = 5*h + 3*n for h.
-3
Let r(m) = 4*m - 19. Let z be r(16). Let y = z + -24. Solve h - 5*o + y = 0, -5*h + 0*o + 4*o - 21 = 0 for h.
-1
Let w be 596/28 + (-4)/14. Suppose -h + 2*h = w. Suppose 6*z = 3*z + h. Solve g = -2*g + 5*q + z, 3*q = -6 for g.
-1
Let o = -4 - -4. Suppose 2*m + 3*m - 135 = o. Let s be ((-16)/6)/((-6)/m). Solve -5*r = -2*r + s, 4*a + 4*r + 24 = 0 for a.
-2
Let t = -12 + 16. Solve -5*h - j - 24 = 0, t + 16 = -2*h - 3*j for h.
-4
Let o be (-60)/(-18)*9/5. Let r = -1 + o. Solve -j - 6 = -3*h + 5, -r*j = -2*h + 16 for h.
3
Let y = -2 + 10. Let c = y - 5. Solve 4*i = -c*w + 17, -2*w = 4*i + 2*w - 20 for i.
2
Suppose 4*d - 4 = 4. Let t(k) = k**d + 2*k**2 + 1 - k**2 - 3*k. Let s be t(2). Solve 2*y - 3*f - 20 = 0, -3*f = s*y - 2*f - 8 for y.
4
Let c = 12 + -10. Solve -4*m = -5*x + 19, x = c*m - 5*m for x.
3
Let i(x) = x - 13 - 3*x + 17. Let y be i(-5). Let q be (-148)/(-28) - 4/y. Solve q = -4*m - 5*c, -5*c = -2*m - 0*c + 35 for m.
5
Let i(u) = -2*u + 23. Let g be i(10). Solve 0 = -4*k - 3*l - 15, k - g = 3*k - 3*l for k.
-3
Let q = 10 + -7. Suppose -q*o + o + 4 = 0. Let f be (-15)/(-21) - (-2)/7. Solve -o*d - 2*x + 1 = -f, d - 7 = x for d.
4
Let q = -48 + 57. Solve 0 = -3*l + q, a = -a - 4*l + 12 for a.
0
Let b(c) = 2*c**3 - 4*c**2 + 2*c + 2. Let y be b(2). Let j be (-1)/2*-1*y. Solve -5*i + 0*i - 20 = j*u, 2*u = 0 for i.
-4
Let w = 9 + -6. Solve 0*v + 10 = h + w*v, -h = -4*v + 11 for h.
1
Let y(t) = -t**3 - 2*t + 11. Let r be y(0). Solve j = -5*l - 12, -10 = -3*j + 4*l + r for j.
3
Let u be 7 - (5 + -2 + 1). Suppose 2*x - 3 = u. Solve 2*l + x*k = -2*k + 16, l = k - 6 for l.
-2
Suppose -5*s = -10*s - 4*c + 3, 4*c = -4*s. Solve s*u + l = 8, -5*u + 36 = -0*u - 4*l for u.
4
Let v be 6/(-4)*(-14)/3. Let i(n) be the second derivative of n**3/6 + 7*n**2/2 - n. Let z be i(v). Solve -4*l - c + 15 = 0, 0*l - z = -3*l + 2*c for l.
4
Let f(u) = u**3 - 5*u**2 + 5*u. Let g be f(4). Suppose s + 0*s - g*j + 2 = 0, 0 = 5*s + 3*j - 13. Solve 0 = -3*y - 2*w + 6, y + 10 = 6*y - s*w for y.
2
Let r(s) = -s**2 + 4*s + 3. Let l be r(4). Suppose -4*a + h - 8 = -0*h, 16 = -4*h. Let x = a + l. Solve -2*o + 9 = 5*k - 11, x = 5*o for k.
4
Suppose 2*h = -10, 2*x - 7*x - h + 15 = 0. Suppose -56 = -x*a - l, l = -2*a + 29 - 1. Solve 4*p + 4*n = -a - 2, -20 = 5*p + n for p.
-4
Let g be 2 + -1 + -2 - -49. Suppose -u + 5*u = g. Let j = 25 - u. Solve 3*o - 2*y = j, 23 = o + 2*o - 4*y for o.
1
Let r(v) = 3*v**2 + 3*v - 3. Let z be r(1). Solve -4*c = -x - 8, -z*x - 4*c + c + 21 = 0 for x.
4
Let d(p) = -p**2 - 10. Let t be d(0). Let c be 70/22 + t/55. Solve o + 1 = -c*r - 13, o - 6 = r for o.
1
Let a = 5 - 39. Let k = -14 - a. Solve x + 2 = -2, 4*h + 4*x + k = 0 for h.
-1
Suppose z + 0*z = 45. Suppose f = 3*k - 2*f + z, 3*f = 5*k + 65. Let b be ((-6)/k)/(3/15). Solve -x + 2*y - 3 = 0, b*y - 3 = 2*x - 0*y for x.
3
Let i = 8 + 20. Let b = i + -21. Solve 4*x = -4*p - 16, b*x - 2*x - p + 20 = 0 for x.
-4
Let d = -32 - -32. Solve -u + 2*z = -9, d*z + z = -5 for u.
-1
Let i be ((-4)/(-5))/(-4 - (-164)/40). Solve 0*h - 2*h = -2*q + i, -q = h for h.
-2
Let b be -3 + (-3 - 2)/(-1). Let t = b - -1. Solve -j = 4*i + 7, -2*j + 0*j + t*i = -8 for j.
1
Let o be (-128)/(-7) + (-2)/7. Let l = 20 - 8. Let r = l - 8. Solve 3*y - v + o = 0, 0 = -2*y + v + r*v - 25 for y.
-5
Suppose -2*w + 6*w - 24 = 0. Suppose 3*m = -3*h + 1 + 5, 2*h + 5 = m. Let q be -5*((-6)/5)/m. Solve -2*l = -3*l + i + w, -5*i + 5 = q*l for l.
5
Suppose -6*p + 14 + 4 = 0. Solve 12 = 4*u - p*d, -u + 0*d - 2*d - 8 = 0 for u.
0
Suppose -l = 0, 15 = 5*m + 2*l + 3*l. Suppose -4*h + h - 22 = -5*k, 0 = 4*h + 16. Solve -11 = j + k*i - 2, -m*j + 5*i = -17 for j.
-1
Suppose -2*w - w - 9 = 4*l, 0 = 5*w - 3*l - 14. Let r be (w/3)/(2/6). Solve -2*g + r = j - 4, 4 = 2*j + 2*g for j.
-1
Let q(f) = f + 14. Let a be q(-6). Suppose 0 = 2*l - 2*c - 12, 3*c = -9. Solve -a = -l*x - x, -5*o = -x - 23 for o.
5
Suppose -2*p + 4*v = -28, 2*p + 2*p + 3*v - 1 = 0. Let f be p*-9*(-1)/(-4). Let j = f - -17. Solve -3*h + 12 = 2*w, -j*w + 3*w = h - 4 for w.
0
Let o(m) = m + 8. Let b be o(0). Suppose 0 = b*v - 3*v + 45. Let u be (3 - 1)/((-2)/v). Solve -4*n - 14 = -2*n + 4*z, -n = 3*z + u for n.
-3
Suppose 4*o + 3 = 5*o. Let u be (-7)/7 - (2 - o). Solve 28 = -u*j + 2*j + 4*i, -j = -3*i + 11 for j.
4
Let o = 28 - 22. Solve 12 = 3*a, 5*a - o = m + 4*a for m.
-2
Let g(m) be the first derivative of -m**3/3 + 3*m**2 + 5*m + 3. Let i be g(6). Solve -v - 5*x - 5 = 2*v, 3*x - 31 = i*v for v.
-5
Let t be (-6 + 3)/((-6)/4). Suppose -2*g + 5*g = -t*o + 12, 3*g = 2*o. Solve 3*r - 4 = -4*n, 5*n - 3*r - o - 2 = 0 for n.
1
Let c be 4/9*9/2. Solve 20 = -4*u, -p = -c*p + 2*u + 5 for p.
-5
Suppose 0 = 5*o - 2*i - 26, -3*i = 4*o - 5 - 2. Suppose -2*r = -2*w - 14, 4*w + 4 = -o. Solve -4*p - 5*s = r, 3*s - 13 = 2*p + 2*s for p.
-5
Let d(u) = -3*u - 17. Let h be d(-7). Solve -l = 3*w, -4*l - h*w + 8 = -0*l for l.
3
Let v(j) = -j**3 - 6*j**2 + 3. Let w(h) be the first derivative of -3*h**2/2 + 3*h - 2. Let s be w(3). Let x be v(s). Solve 2*o + 12 = 2*a, -x*a + 16 = a for o.
-2
Let n = -2 + 4. Solve -n*j + 12 + 14 = 4*t, -5*t + 34 = 3*j for t.
5
Let o(z) = 2*z**2 + 19*z + 12. Let f be o(-9). Let a be 2/((-28)/12 + f). Solve -4 = a*c + w + 13, -4*c = 3*w + 26 for c.
-5
Suppose 4*j - 36 = -4*c, 4*c + j + 0*j - 39 = 0. Solve 2*v + 3 = -5*y, 5*v - 3*y - 2*y = c for v.
1
Let a(w) = 2*w**2 + 2*w - 2. Let u be a(-2). Let i = -15 - -9. Let v be (8/i)/((-2)/6). Solve 3*y - 15 = -u*p, 2*p = -2*y + v*y for p.
3
Let n(c) = 2. Let a(s) = -s - 1. Let m(i) = -a(i) + n(i). Let d be m(0). Solve 2*k - k + 5*u + 30 = 0, -2*u = d*k + 25 for k.
-5
Let t be (-3)/(1 - (-5)/(-2)). Let a = 4 + 1. Solve 3*q = -3*r - 10 + 25, 0 = -a*r + 4*q - t for r.
2
Let b be 3 - (8 - 3) - -3. Let j be -2 + b - (9 + -15). Solve -16 = -5*v - 6, 0 = 5*y + j*v for y.
-2
Let h be (-5 + (1 - -1))/(-1). Suppose -h*z - 3 - 9 = n, 3*n - 16 = 4*z. Suppose 26 + 10 = 3*c. Solve n = -3*x, -2*x - x - c = 3*b for b.
-4
Suppose 3*z = 3*l + l + 4, 5*z = -5*l - 40. Suppose 0*j = 3*j - 18. Let n be j/3*(-10)/l. Solve -o = -3*p - 6*o + 22, 22 = n*p + o | {
"pile_set_name": "DM Mathematics"
} |
-15653
Convert 12223 (base 5) to base 9.
1252
-ac3 (base 14) to base 5
-32011
What is -27717 (base 9) in base 16?
-4978
-572 (base 15) to base 11
-a20
Convert -17770 (base 9) to base 13.
-5799
What is 1000010100 (base 2) in base 16?
214
What is -30802 (base 10) in base 16?
-7852
Convert -10001110010 (base 2) to base 7.
-3214
Convert 11430 (base 6) to base 4.
122022
Convert -4451 (base 6) to base 2.
-10000001111
What is 71e (base 15) in base 5?
22404
1cc (base 16) to base 8
714
-100111011 (base 2) to base 4
-10323
What is -4916 (base 14) in base 2?
-11000111011000
What is -17647 (base 8) in base 2?
-1111110100111
Convert -11323 (base 5) to base 15.
-3ad
Convert -422212 (base 5) to base 9.
-21248
4500 (base 13) to base 5
302013
-3222 (base 5) to base 3
-121012
Convert 1125 (base 16) to base 10.
4389
What is 22a (base 11) in base 8?
422
-214644 (base 7) to base 6
-450333
Convert 3432 (base 7) to base 5.
14443
-4304 (base 5) to base 14
-2d5
Convert -10111010111011 (base 2) to base 5.
-340323
-22a3 (base 13) to base 5
-123430
124122 (base 5) to base 10
4912
ab9 (base 12) to base 15
706
Convert 11111001 (base 2) to base 4.
3321
Convert 637 (base 11) to base 3.
1001101
Convert 3f91 (base 16) to base 12.
9501
17331 (base 8) to base 3
101211111
-1096 (base 11) to base 8
-2634
Convert -136 (base 13) to base 3.
-21221
1011000011 (base 2) to base 7
2030
What is -34445 (base 9) in base 5?
-1213324
224434 (base 6) to base 4
10223212
What is 2332 (base 10) in base 12?
1424
Convert 54615 (base 8) to base 5.
1213200
What is 22103203 (base 4) in base 15?
c791
461 (base 14) to base 8
1545
-492a (base 16) to base 2
-100100100101010
Convert -1222 (base 3) to base 8.
-65
What is -426 (base 14) in base 3?
-1010022
What is -a35 (base 11) in base 14?
-652
What is -26251 (base 8) in base 12?
-6749
Convert 1b1b (base 13) to base 9.
5533
Convert 516 (base 7) to base 10.
258
Convert -22226 (base 9) to base 7.
-61023
What is -220011101 (base 3) in base 4?
-10103032
-13a9 (base 15) to base 10
-4209
Convert -120221 (base 3) to base 5.
-3210
100025 (base 9) to base 3
10000000212
What is -346 (base 12) in base 4?
-13212
What is 431031 (base 6) in base 10?
35227
What is 22246 (base 11) in base 8?
76754
What is 1220112 (base 3) in base 5?
21031
Convert -103224 (base 5) to base 10.
-3564
Convert 4 (base 9) to base 5.
4
-5675 (base 10) to base 5
-140200
Convert 42482 (base 10) to base 2.
1010010111110010
-2e9a (base 16) to base 11
-8a66
What is -111111010100 (base 2) in base 10?
-4052
-94a (base 13) to base 7
-4421
334 (base 8) to base 5
1340
647 (base 12) to base 2
1110010111
Convert -8178 (base 9) to base 13.
-2954
What is -2556 (base 14) in base 16?
-1990
Convert -20532 (base 8) to base 6.
-103310
69b (base 15) to base 4
113120
-7a7 (base 16) to base 13
-b79
What is -166 (base 7) in base 6?
-241
-2650 (base 7) to base 14
-527
-23013311 (base 4) to base 2
-1011000111110101
Convert -201110 (base 3) to base 8.
-1015
3203 (base 4) to base 16
e3
Convert -2502 (base 10) to base 3.
-10102200
What is -13626 (base 9) in base 3?
-110200220
-2322 (base 11) to base 3
-11011221
15484 (base 13) to base 16
9d8a
340 (base 16) to base 15
3a7
What is 44054 (base 8) in base 2?
100100000101100
Convert -1100101111 (base 2) to base 12.
-57b
6eb7 (base 16) to base 2
110111010110111
Convert 102330 (base 4) to base 6.
5340
-10523 (base 6) to base 15
-696
Convert 4040 (base 15) to base 7.
54351
-11200121000 (base 3) to base 4
-112201332
33 (base 13) to base 15
2c
What is -5164 (base 10) in base 3?
-21002021
-202210120 (base 3) to base 12
-8936
Convert 11110110101001 (base 2) to base 16.
3da9
Convert -151ca (base 14) to base 10.
-52510
What is -2d9 (base 14) in base 12?
-407
What is -11505 (base 6) in base 7?
-4643
-1c6 (base 15) to base 3
-120020
What is -14041 (base 5) in base 16?
-47a
6a1 (base 11) to base 15
3ac
What is -17630 (base 9) in base 15?
-391c
What is -2137 (base 15) in base 9?
-10567
Convert 4683 (base 9) to base 10.
3477
Convert 3383 (base 9) to base 15.
b20
5132 (base 7) to base 9
2405
50452 (base 7) to base 11
9216
-421 (base 9) to base 13
-205
Convert -1222202 (base 3) to base 9.
-1882
Convert 11521 (base 6) to base 14.
89b
Convert 15381 (base 9) to base 3.
112102201
What is 10630 (base 8) in base 9?
6154
Convert -532e (base 15) to base 6.
-213242
Convert -24561 (base 8) to base 2.
-10100101110001
Convert 1030322 (base 4) to base 8.
11472
101212221 (base 3) to base 16
1f00
What is -871 (base 11) in base 16?
-416
Convert -1303431 (base 5) to base 8.
-61623
What is -3415 (base 7) in base 5?
-14422
What is 3db5 (base 14) in base 15?
3394
What is 14064 (base 8) in base 5?
144241
What is 874 (base 13) in base 6?
10411
What is -57a (base 14) in base 13?
-659
Convert 621 (base 12) to base 6.
4041
665 (base 10) to base 5
10130
What is -7578 (base 12) in base 15?
-3c58
Convert 1458 (base 12) to base 15.
a82
What is -4b7 (base 14) in base 7?
-2520
-1292 (base 13) to base 7
-10511
-153a (base 15) to base 11
-3471
Convert -1000010101111 (base 2) to base 4.
-1002233
4443 (base 9) to base 10
3279
-1886 (base 9) to base 4
-112233
What is -2143 (base 13) in base 11?
-3519
4bdc (base 15) to base 4
3330312
57721 (base 9) to base 11
26a15
-10c (base 15) to base 12
-179
What is 1387 (base 10) in base 11?
1051
What is 3205 (base 6) in base 8?
1325
Convert -3662 (base 8) to base 9.
-2628
What is 64f (base 16) in base 5?
22430
What is 543 (base 6) in base 4?
3033
574c (base 15) to base 16
485a
Convert 11221 (base 4) to base 2.
101101001
Convert -2163 (base 10) to base 13.
-ca5
2248 (base 13) to base 6
34104
-43305 (base 7) to base 15
-32e0
d20 (base 16) to base 13
16b6
What is -7586 (base 14) in base 7?
-113126
-c1 (base 14) to base 10
-169
What is -102221100 (base 3) in base 15?
-28a3
231102 (base 4) to base 3
10222100
What is -fd6 (base 16) in base 7?
-14551
-537 (base 9) to base 4
-12313
-3c6a (base 15) to base 11
-9790
1d5 (base 15) to base 12
2b5
Convert -1e9 (base 15) to base 11.
-374
3aa3 (base 13) to base 6
102542
Convert 3dc7 (base 16) to base 5.
1001230
What is -2112022 (base 3) in base 7?
-5243
-424102 (base 5) to base 7
-56424
Convert 3262 (base 11) to base 10.
4303
-749 (base 10) to base 15
-34e
-35e (base 15) to base 4
-23330
Convert -1101001011100 (base 2) to base 4.
-1221130
Convert 1764 (base 14) to base 11.
3182
What is -110011100010010 (base 2) in base 9?
-40167
What is -1221121 (base 3) in base 5?
-21140
What is 68c (base 14) in base 7?
3535
Convert 211112 (base 3) to base 9.
745
What is 2213210 (base 4) in base 7?
43160
What is 542 (base 9) in base 6?
2015
What is 86c0 (base 13) in base 15?
584b
What is 38a (base 12) in base 4?
20122
Convert 2010011 (base 3) to base 15.
6cd
What is -20 (base 5) in base 3?
-101
-29a (base 14) to base 11
-440
Convert 11523 (base 8) to base 10.
4947
Convert 1465 (base 7) to base 16.
24a
Convert -10211300 (base 4) to base 5.
-1100200
6123 (base 9) to base 2
1000101111100
-111001000010 (base 2) to base 10
-3650
-1603 (base 12) to base 16
-a23
Convert fc38 (base 16) to base 6.
1214532
Convert -489 (base 12) to base 3.
-221020
1400 (base 15) to base 14
17b5
2012220002 (base 3) to base 12
21325
Convert -2023 (base 5) to base 11.
-21a
-392 (base 13) to base 6
-2522
Convert 80a (base 11) to base 13.
5a3
-3101 (base 5) to base 8
-621
What is -4476 (base 13) in base 11?
-7202
Convert 1540 (base 12) to base 4.
213000
What is 66165 (base 7) in base 6?
204400
-402 (base 5) to base 11
-93
Convert -20431 (base 6) to base 5.
-42010
-32124 (base 6) to base 2
-1000100010100
82 (base 12) to base 10
98
What is -25024 (base 6) in base 4?
-321220
What is -838 (base 9) in base 2?
-1010101011
Convert de9 (base 16) to base 5.
103221
4aa (base 12) to base 14
386
51525 (base 6) to base 12
3ba5
Convert -a363 (base 15) to base 8.
-103326
2a5 (base 14) to base 11
449
Convert -58b (base 12) to base 15.
-3a2
15d (base 14) to base 9
340
Convert 1288 (base 12) to base 8.
4110
Convert -211020 (base 3) to base 6.
-2440
Convert 2136 (base 7) to base 13.
468
Convert 2a7 (base 14) to base 8.
1033
Convert 498 (base 10) to base 16.
1f2
-764 (base 12) to base 11
-8a6
Convert 101112033 (base 4) to base 6.
1304543
-1430 (base 6) to base 11
-314
Convert -130131 (base 5) to base 14.
-1ba1
-255354 | {
"pile_set_name": "DM Mathematics"
} |
Let x(w) = w. Let s(m) = -21*m + 34. Let g(z) = -10*z + 15. Let h(b) = 7*g(b) - 3*s(b). What is h(f) + 5*x(f)?
-2*f + 3
Let r(t) = 46*t**2 + 4*t - 22. Let v(l) = 8*l**2 + l. Calculate -r(w) + 7*v(w).
10*w**2 + 3*w + 22
Let q(w) = -w**2 + w + 1. Let z(l) = -58*l + 465. Let v be z(8). Let n(j) = 20*j**3 - 5*j**2 + 4*j + 4. Calculate v*n(m) - 4*q(m).
20*m**3 - m**2
Let a(k) = -8872*k**2 - 2*k - 2. Let p(v) = -1268704*v**2 - 287*v - 287. What is 287*a(b) - 2*p(b)?
-8856*b**2
Let i(g) = 7*g + 9. Let w(c) = -c. Let b be -12 - 2/4*-14. What is b*w(a) - i(a)?
-2*a - 9
Let s(f) be the third derivative of f**4/4 - 5*f**3/6 - 20*f**2 + 10*f. Let o(h) = -6*h + 4. Let c = 4 - 0. Give c*o(x) + 3*s(x).
-6*x + 1
Let w = 185 - 192. Let c(r) = 9*r + 4. Let f be (3 - 3)*(-5)/10. Let l(z) = 8*z + 7 + f - 4. Calculate w*l(b) + 6*c(b).
-2*b + 3
Suppose 17*z = 5*i + 14*z + 10, 5*z - 26 = -i. Let u(y) = -y + 1. Let a(p) = 2*p. Calculate i*a(q) + 4*u(q).
-2*q + 4
Let h(t) = -t. Let v(m) = 12*m. Let w(b) = -24*b. Let c(l) = -7*v(l) - 4*w(l). Let s(x) = 75*x - 3666. Let i be s(48). What is i*h(p) - 6*c(p)?
-6*p
Let f(o) = -10*o - 6. Suppose 133 = 114*b + 341 + 362. Let y(p) = 10*p + 7. What is b*y(q) - 6*f(q)?
10*q + 1
Let l(g) = -g + 2. Let u(v) = 5*v**2 - 37*v + 14. Let o be u(7). Suppose s - 15*s - 714 = o. Let j(w) = -8*w + 17. Calculate s*l(r) + 6*j(r).
3*r
Let h(w) = -5*w**2 - 17*w**3 + 20*w**3 - 3*w - 2*w. Let v(l) = 3*l**3 - 6*l**2 - 6*l. Let u = -519 + 513. Calculate u*h(q) + 5*v(q).
-3*q**3
Let y(p) = 1. Let v(b) = -15*b + 4. Suppose -2*a = -5*t - 34, 77*t + 3*a - 33 = 80*t. What is t*y(z) + v(z)?
-15*z
Let b(t) = 16*t**2 + 84*t + 17. Let f(z) = 10*z**2 + 53*z + 11. Let r(k) = 7*b(k) - 11*f(k). Let d(c) = c**2 + 3*c - 1. Determine 5*d(x) - 3*r(x).
-x**2 + 1
Let l = -1771 + 1765. Let u(x) = -7*x**2 - 3*x + 3. Let o(c) = -120*c**2 - 52*c + 52. Determine l*o(m) + 104*u(m).
-8*m**2
Let r(i) = -2*i**2. Let u(w) be the first derivative of 4*w**3/3 + 409. Calculate 5*r(m) + 3*u(m).
2*m**2
Let c(u) = -17115*u + 2. Let z(x) = 8572*x - 1. Calculate -6*c(l) - 13*z(l).
-8746*l + 1
Let f(l) = -1944*l + 12. Let m(y) = 1943*y - 10. Give -5*f(n) - 6*m(n).
-1938*n
Let o(a) = 6*a + 2. Let g(i) = 19*i + 7. Let d = -30 + 21. Let l(r) = -38*r - 14. Let b(f) = d*g(f) - 4*l(f). Let n = 168 - 161. Give n*o(j) + 2*b(j).
4*j
Let i(k) = -3*k + 1. Let u(h) = -13*h + 4. Let x be 8/(-10) - (-56)/20. Let o = -488 + 479. Determine o*i(l) + x*u(l).
l - 1
Let n(r) = 59*r + 11. Let k(s) = 12*s + 2. Let p(w) = -5*k(w) + n(w). Let b(y) = -5*y**3 + 4*y**2 - 2*y + 2. Determine -b(d) + 2*p(d).
5*d**3 - 4*d**2
Let d(q) = 9*q**2 - 4*q - 7. Let z(w) = -1 - 126*w + 8*w**2 - 5 + 123*w. Suppose -32 = s + 5*c, -3*s + 5*c + 6 = 2. Give s*z(y) + 6*d(y).
-2*y**2 - 3*y
Let i(v) = 2*v**2 - 3*v - 3. Let u(s) = -2*s + 1. Let k(j) = -5*j - 36 - 40 + 116 - 38. Let o(a) = -3*k(a) + 7*u(a). What is i(h) + 3*o(h)?
2*h**2
Let s(p) = -9*p**3 - 7*p**2 + 22. Let l = 3549 + -3544. Let b(v) = 14*v**3 + 11*v**2 - 33. Calculate l*b(y) + 8*s(y).
-2*y**3 - y**2 + 11
Let b(f) = 32*f**2 + 3*f - 1. Let w(o) = -35*o**2 - 3*o. Determine -5*b(k) - 4*w(k).
-20*k**2 - 3*k + 5
Let f(s) = -21*s + 5. Let l(u) = 6*u. Let i(a) = f(a) + 3*l(a). Let g(q) = 3*q - 6. Determine -5*g(t) - 6*i(t).
3*t
Let t(r) = r**2 - r - 1. Let m(f) = 4*f + 564*f**2 - 2 - 572*f**2 + 3 + f. Give m(b) + 6*t(b).
-2*b**2 - b - 5
Let m(g) = -34*g**2 + 15*g + 43. Let f(n) = 33*n**2 - 18*n - 53. Give 3*f(o) + 4*m(o).
-37*o**2 + 6*o + 13
Let x(m) = 7*m**2 - 2*m + 11. Let f(u) = 3*u**2 - u + 5. Let i be (-2 - -3)/(1/(-2)). Let t be 9/(i*(-3)/6). What is t*f(g) - 4*x(g)?
-g**2 - g + 1
Let w(n) = -8458*n - 2. Let f(d) = 8512*d + 2. Determine 3*f(s) + 4*w(s).
-8296*s - 2
Let h(g) = -11*g**2 - 4*g + 28. Let w(c) be the third derivative of c**5/10 + c**4/12 - 7*c**3/3 - 243*c**2 - 6. What is -4*h(y) - 7*w(y)?
2*y**2 + 2*y - 14
Suppose -4*o + 256 - 290 = 5*w, 0 = -6*o + w. Let p(u) = -u**3 - 6*u**2 + 5*u + 1. Let q(v) = v + 1. Calculate o*p(b) + 3*q(b).
b**3 + 6*b**2 - 2*b + 2
Let l(d) = d**2 + 8*d. Let q(y) = -32*y**2 - 92*y - 26. Let z(x) = -5*x**2 - 15*x - 4. Let g(r) = 6*q(r) - 39*z(r). Determine 2*g(i) - 9*l(i).
-3*i**2 - 6*i
Let k = 22022 + -22016. Let o(p) = -3*p**2 - 7*p + 12. Let t(w) = -2*w**2 - 6*w + 11. Determine k*o(g) - 7*t(g).
-4*g**2 - 5
Let g(m) = 2*m**3 - 21*m**2 - 1439. Let h(z) = -z**3 + 9*z**2 + 720. Determine -3*g(i) - 7*h(i).
i**3 - 723
Suppose -c + 8 = -1. Suppose -n + c = 7. Let s = -173 - -176. Let m(g) = 2*g. Let v(q) = -q**2 - 2*q. Give n*v(z) + s*m(z).
-2*z**2 + 2*z
Let g(a) = 10*a - a**2 + 862 - 2*a - 860. Let b(v) = v**2 - 7*v - 2. Give 6*b(r) + 5*g(r).
r**2 - 2*r - 2
Let b(x) = -6*x**2 - 10*x + 135. Let g(r) = -5*r**2 - 11*r + 133. Calculate -3*b(w) + 4*g(w).
-2*w**2 - 14*w + 127
Let x(n) = -4*n**3 + 15*n**2 + 4*n + 8. Let a(g) = -8*g**3 + 29*g**2 + 7*g + 14. Calculate -4*a(o) + 7*x(o).
4*o**3 - 11*o**2
Let c(k) = 9*k**2 + 144*k - 20. Let f(x) = 2*x**2 - x - 3. Determine -c(p) + 5*f(p).
p**2 - 149*p + 5
Let v(f) = -f**2. Let j(g) = 215*g**2 - 25*g + 12. Let l(z) = 18*z**2 - 2*z + 1. Let d(s) = 2*j(s) - 25*l(s). Calculate -2*d(r) + 6*v(r).
34*r**2 + 2
Let q(o) = -38*o**2 - 37*o. Let p(g) = 76*g**2 + 87*g. Give -4*p(x) - 7*q(x).
-38*x**2 - 89*x
Let y(a) = -a - 4. Let k(g) = 22*g - 27. Give k(d) + 4*y(d).
18*d - 43
Let w = 47 + -44. Suppose 0 = n + 20. Let k(u) = 3 - 15*u**2 + 18*u**2 - 3 + 7*u**3 + 0. Let f(o) = 48*o**3 + 20*o**2. What is n*k(x) + w*f(x)?
4*x**3
Let f(c) = 1. Let o = -1 - 2. Suppose -5122*r = -5111*r + 11. Let m(k) = -7*k**2 - 3. Determine o*f(d) + r*m(d).
7*d**2
Let p(n) = 3*n**2 - 5*n. Suppose 25*r + 75 + 75 = 0. Let x(l) = l**3 + 5*l**2 - 4*l - 3. Let m be x(r). Let b(f) = -2*f**2 + 2*f. Determine m*b(g) - 6*p(g).
12*g**2
Let d(l) = 20*l + 1199. Let h be d(-60). Let m(v) = v + 1. Let q(b) be the first derivative of -3*b**2 - 4*b - 1. Determine h*q(u) - 5*m(u).
u - 1
Let s(d) = 2*d**3 + 62*d**2 - 6*d - 8. Let w(n) = 2*n**3 + 64*n**2 - 5*n - 7. Determine -8*s(q) + 9*w(q).
2*q**3 + 80*q**2 + 3*q + 1
Let s(p) = -3*p + 7. Let c(r) = -r - 1. Let t(f) = -14*f - 827. Let n be t(-59). Calculate n*s(x) - 6*c(x).
9*x - 1
Let r(h) = -4*h**3 - 2*h**2 - 5*h - 2. Let g be (-146)/(-12) - 2044/1752. Let j(c) = -20*c**3 - 11*c**2 - 26*c - 11. What is g*r(f) - 2*j(f)?
-4*f**3 - 3*f
Let h(m) = -22*m**3 - 46*m**2 + 11*m. Let i(w) = 3*w**3 + 8*w**2 - w - 1. Calculate h(b) + 6*i(b).
-4*b**3 + 2*b**2 + 5*b - 6
Let a(c) = 19*c**3 - 6*c**2 + 5. Let q(r) = -35 - r**3 - 21 + 30 + 25 + r**2. Determine a(p) + 5*q(p).
14*p**3 - p**2
Suppose -3*f = -4*d - 11 + 33, 3*f + 5*d - 41 = 0. Let b(z) = -z**2 - z - 1. Let p(v) = -3*v**2 + 3 + 3*v + 3*v**2 + 5*v**2. Calculate f*p(n) + 6*b(n).
4*n**2
Let c(s) = 9*s - 15. Let f(m) = -11*m + 14. Let u(y) = -58*y + 73. Let v(a) = -11*f(a) + 2*u(a). What is -4*c(k) + 7*v(k)?
-k + 4
Let d(w) = 15*w**3 - 2*w**2 + 16*w - 31. Let o(r) = -6*r**3 + r**2 - 6*r + 11. What is -3*d(h) - 8*o(h)?
3*h**3 - 2*h**2 + 5
Let c(f) = 2*f. Let m be (-19)/(-57)*(-2 + 11). Let t(z) = 3*z + 1. Let o(h) = m*t(h) - 4*c(h). Let g(d) = -2 - d + 0*d + 1. Determine -3*g(r) - o(r).
2*r
Let z(u) = -5*u**3 - 7*u**2 - 7*u - 13. Let i(b) = 3*b**3 + 5*b**2 + 5*b + 9. Suppose 16*l + 428 + 32 = -76*l. Give l*z(x) - 7*i(x).
4*x**3 + 2
Let s(x) = -4*x**2 - 4*x**3 + x**2 - 6*x - 60*x**3 + 65*x**3 + 13*x - 2. Let q(u) = 3*u**2 - 7*u + 3. Determine -2*q(v) - 3*s(v).
-3*v**3 + 3*v**2 - 7*v
Let r(l) = -166239*l**2 - 4136. Let f(c) = -1933*c**2 - 48. Determine -517*f(d) + 6*r(d).
1927*d**2
Let m(x) = 3865*x - 5. Let v(j) = -199047*j + 258. Determine -258*m(c) - 5*v(c).
-1935*c
Let l(z) = -10. Let s(j) = 7. Let p(t) = -5*l(t) - 7*s(t). Let b(r) = r + 37. Let f(d) = 19. Let i(n) = b(n) - 2*f(n). Let o be 4/2*(-2)/4. Give o*p(x) + i(x).
x - 2
Let g(y) be the third derivative of y**4/12 + 7*y**3/6 + 7109*y**2. Let c(s) = -s + 1. What is -5*c(z) + g(z)?
7*z + 2
Let b(r) = -4*r - 1. Let y(u) = -u - 60. Let q(z) = 48. Let g(p) = 5*q(p) + 4*y(p). Determine 3*b(i) - 4*g(i).
4*i - 3
Let l(z) = -z**2. Suppose 4*s = o + 1, o - 3*o = 4*s + 14. Let w be ((-10)/20)/(2/24). Let p(r) = -5 + 16*r**2 + 4 - 12*r**2. Determine s*p(a) + w*l(a).
2*a**2 + 1
Let c = 6694 - 6700. Let n(t | {
"pile_set_name": "DM Mathematics"
} |
z(c)).
-6*c**2
Let g(s) = s. Let t(v) = v + 12. Let q be t(-9). Let n(h) = 0*h**2 - q*h**2 - h**2 + 2*h**2. Determine g(n(d)).
-2*d**2
Let s be ((-1 - -2) + -1)/(-1). Let l(o) = s*o - 3*o + o. Let y(n) = -5*n**2 + 0*n + 0*n + 4*n**2. Give y(l(j)).
-4*j**2
Let b(t) be the second derivative of 2*t**4/3 - 4*t. Let q(u) = -u - 2 + 2. Give q(b(j)).
-8*j**2
Let v(b) = 4*b. Let l(i) = -i + 5. Let n(w) = -2. Let c(r) = -2*l(r) - 5*n(r). What is c(v(h))?
8*h
Let s(c) = -c - 1. Let d(x) = -2*x**2 - 33. What is s(d(b))?
2*b**2 + 32
Let y(l) be the second derivative of l**5/60 + l**2 - 4*l. Let z(r) be the first derivative of y(r). Let g(h) = h. Determine z(g(b)).
b**2
Let o(h) = -2*h**2 + 163. Let s(m) = 2*m**2. Give s(o(g)).
8*g**4 - 1304*g**2 + 53138
Let z = 8 + -5. Let k(o) be the first derivative of z*o - 3 - 3*o - 3*o**2. Let i(s) = 2*s. Calculate i(k(c)).
-12*c
Let u(c) = -c. Let m(i) be the second derivative of -i**3/6 + 3*i. Calculate m(u(d)).
d
Let c(d) be the second derivative of d**5/40 - d**3/2 - 2*d. Let j(x) be the second derivative of c(x). Let i(k) = 2*k**2. What is j(i(l))?
6*l**2
Let j(k) = 36*k. Let i(l) = 6*l**2. Calculate i(j(u)).
7776*u**2
Let d(q) be the third derivative of q**4/12 - q**2. Let k(n) = 14*n**2. Give k(d(v)).
56*v**2
Let x(o) = 2*o + 7. Let q(l) = l + 3. Suppose -19 = 2*z + 3*f - 2, -2 = z - 5*f. Let j(b) = z*q(b) + 3*x(b). Let m(v) = 3*v**2. Give m(j(p)).
3*p**2
Let m(s) = -s + 2*s + s. Let r(l) be the first derivative of l**2/2 - 4. Calculate r(m(h)).
2*h
Let m(k) = 2*k**2. Suppose 16 = 3*z + r, 23 - 3 = 5*r. Let i(h) be the third derivative of -h**2 + 0*h + 0*h**3 + 0 + 1/24*h**z. Calculate m(i(d)).
2*d**2
Let z(f) = -3*f - 9. Let l(i) = 4*i**2. Determine l(z(r)).
36*r**2 + 216*r + 324
Let v(p) = -12*p. Let n(c) = 3*c**2. Give n(v(x)).
432*x**2
Let m(n) be the first derivative of 2*n**3/3 + 54. Let a(f) = 0 + 7*f - 2*f - 4. Let p(d) = 14*d - 11. Let h(b) = 11*a(b) - 4*p(b). Calculate h(m(i)).
-2*i**2
Suppose -2*b + 2 = -4. Let i(l) = b*l - 2*l - 6*l + 2*l. Let v(d) = 2*d**2. Give i(v(o)).
-6*o**2
Let b(h) = -3*h. Let r(a) = 664*a. What is r(b(g))?
-1992*g
Let w(c) = 7*c**2 - 5*c. Let q(v) = 11*v**2 - 8*v. Let l(u) = -5*q(u) + 8*w(u). Let k(n) = -2*n. Give k(l(g)).
-2*g**2
Suppose 3*y - 25 = -2*y. Let j(a) = 3*a + y*a + 0*a - 4*a. Let c(t) = 3*t**2. Determine c(j(d)).
48*d**2
Let x(m) be the first derivative of 3*m**2/2 + 1. Let h(u) = -15*u - 4*u**2 + 2*u**2 + 15*u. What is h(x(f))?
-18*f**2
Let g(b) = 4*b. Let u(h) = 7*h**2 + 3*h + 3. Let x(q) = 64*q**2 + 28*q + 28. Let a(w) = -28*u(w) + 3*x(w). Give g(a(n)).
-16*n**2
Let o(u) be the third derivative of u**4/12 + u**2. Let s(w) = 14*w - 17. Let z(y) = 5*y - 6. Let i(c) = -6*s(c) + 17*z(c). Give o(i(r)).
2*r
Let j(o) = 80*o**2 + 80*o**2 - 167*o**2. Let c(y) be the first derivative of y**2/2 + 4. Give c(j(m)).
-7*m**2
Let n(m) = -3*m**2. Let r(u) = u - 137. Determine n(r(y)).
-3*y**2 + 822*y - 56307
Let b(g) be the second derivative of g**3/3 + 6*g. Let r(x) be the second derivative of -x**3/3 - x. Calculate b(r(p)).
-4*p
Let j(w) = 2*w**2. Let k(n) be the first derivative of n**2 + 6. Give k(j(r)).
4*r**2
Let a(w) = w. Let u(m) = -5 - 29*m**2 + 27*m**2 + 5. Calculate a(u(c)).
-2*c**2
Let v(g) = 2*g. Let c(z) be the third derivative of 0 + 2*z**2 + 1/8*z**4 + 0*z + 0*z**3. What is v(c(l))?
6*l
Let m(y) = 4*y**2. Let d(w) = 3*w**2 + 17*w**2 - 30*w**2. Calculate m(d(a)).
400*a**4
Let c(y) = -3*y**2. Let u(v) be the third derivative of v**4/8 - v**2. Give c(u(p)).
-27*p**2
Let d(h) = h. Let k(a) be the third derivative of -a**4/12 - 25*a**3/6 + 50*a**2. Give k(d(c)).
-2*c - 25
Let h(m) = 5*m**2 + 11. Let p(u) = -u**2 - 2. Let k(d) = 2*h(d) + 11*p(d). Let i(a) = 19*a**2. Determine k(i(f)).
-361*f**4
Let b(r) = 116*r**2 - 4*r + 7. Let j(v) = -2*v. Determine b(j(k)).
464*k**2 + 8*k + 7
Let n(a) = -a. Let x(o) = 2762*o. Calculate x(n(g)).
-2762*g
Let m(w) = -12*w - 678. Let b(c) = -c. Give m(b(l)).
12*l - 678
Let s(m) = 2*m. Let f(d) = 2*d - 3504. Determine f(s(x)).
4*x - 3504
Let y(h) = 2*h. Let z(w) = -39*w - 2. Calculate z(y(l)).
-78*l - 2
Let h(f) = -3 - 2*f + 3. Let s(a) = -2. Let v(n) = n - 6. Let g(z) = 6*s(z) - 2*v(z). Calculate h(g(c)).
4*c
Let h(c) = -5*c. Let z(r) be the first derivative of r**3/6 + 3*r + 2. Let q(o) be the first derivative of z(o). What is h(q(m))?
-5*m
Let p(m) = 2*m. Let l(i) = -2*i**2 - 2*i - 66. Calculate l(p(b)).
-8*b**2 - 4*b - 66
Let t(w) = -145 - 2*w + 145. Suppose -3*j + 4 = -8. Let b(k) = 4*k + 2*k**2 - j*k. Calculate t(b(v)).
-4*v**2
Let u(o) be the second derivative of 0 + 0*o**2 + 5*o + 1/3*o**3. Let p(x) = 2*x**2. Give u(p(c)).
4*c**2
Let l(k) = -2*k**2. Let h(j) = 23*j + 6. Calculate h(l(g)).
-46*g**2 + 6
Let j(h) = -h**2. Let m(a) be the third derivative of 0*a**4 + 2*a**2 + 0 + 0*a + 0*a**3 + 1/30*a**5. Give j(m(t)).
-4*t**4
Let x(l) be the second derivative of 0 + 3*l + 2/3*l**3 + 0*l**2. Let a(c) = -6*c + 5*c + 0*c. Give a(x(q)).
-4*q
Let a(n) = 10*n**2 + 0*n**2 - 2*n**2. Let s(r) = 2*r**2. Calculate a(s(v)).
32*v**4
Let v(i) = -8*i + 3. Let q(a) = -5*a. What is q(v(s))?
40*s - 15
Let k(c) = 2*c - 7. Let n be k(5). Let r(o) = -3*o + o + 3 - n. Let j(y) = 8 - 8 - 2*y**2. What is j(r(i))?
-8*i**2
Let h(n) = -n**2 + 8*n + 6. Let x be h(5). Suppose -5 = 4*c - x. Let a(d) = -2*d + c*d - d. Let j(f) = f**2. What is a(j(m))?
m**2
Let v(i) be the second derivative of -i**3/2 - 9*i. Let a(l) = -4*l**2. What is a(v(q))?
-36*q**2
Let k(w) = 3*w**2 - 2 + 2. Let j(s) = -14*s - 1. Let f(q) = -7*q. Let x(v) = 13*f(v) - 6*j(v). Let y(r) = r - 1. Let d(z) = x(z) + 6*y(z). Determine k(d(n)).
3*n**2
Let v(x) be the first derivative of x**3/3 - 1. Let g(u) = -u - 1. Let m(q) = 7*q + 5. Let o = 6 - 7. Let s(j) = o*m(j) - 5*g(j). Calculate v(s(p)).
4*p**2
Let r(a) = 2*a. Let q(b) = -21119*b**2 - 1. Give q(r(j)).
-84476*j**2 - 1
Let t(z) be the third derivative of z**4/12 - 60*z**2. Let w(n) = -3*n + 12. Calculate t(w(c)).
-6*c + 24
Let v(c) be the first derivative of -2/3*c**3 + 0*c**2 - 1 + 0*c. Let n(f) = 16606 - f - 16606. Give n(v(g)).
2*g**2
Let z(t) = -2*t. Let s(u) be the second derivative of -u**6/60 - 5*u**3/6 - 2*u. Let q(g) be the second derivative of s(g). What is q(z(d))?
-24*d**2
Let b(x) = 70*x. Let t(k) = k. What is t(b(g))?
70*g
Let j(n) = -8*n. Let r(m) = 7*m. What is j(r(s))?
-56*s
Let x(o) be the first derivative of -o**3/3 - 1. Let j(u) be the second derivative of u**4/12 - 8*u. Determine j(x(f)).
f**4
Suppose -4*w + 6 = -w. Let o = w + 1. Let h(u) = -2*u + 4*u - o*u. Let j(i) = 2*i**2. What is h(j(q))?
-2*q**2
Let p(b) = -9*b**2 - 6*b**2 + 4*b**2. Let n(y) = -3*y**2. What is p(n(k))?
-99*k**4
Let l(o) = -5*o**2 + 2. Let c(g) = 9*g**2 - 5. Let x(b) = -2*c(b) - 5*l(b). Let q(r) = -r. Determine q(x(h)).
-7*h**2
Let t(p) = -2*p. Let w(a) = -290*a. What is t(w(l))?
580*l
Let h(y) = y**2. Let i = 0 - -2. Let j(d) = 6*d**i + 20*d - 20*d. Determine j(h(n)).
6*n**4
Let t(a) = a. Let r(y) be the third derivative of y**6/360 + 5*y**3/6 + 2*y**2. Let u(f) be the first derivative of r(f). Calculate t(u(p)).
p**2
Let k(o) = -o. Let z(t) = -5000*t. What is k(z(n))?
5000*n
Let y(v) = 2*v + 2*v + 0*v - 6*v. Let o(l) = -3*l - 2. Let i(z) = -3*z - 3. Let d(m) = 2*i(m) - 3*o(m). Give d(y(a)).
-6*a
Let v(d) = 7*d**2. Let l(z) = -17*z - 27. Determine v(l(o)).
2023*o**2 + 6426*o + 5103
Let m(q) = q**2 + 4. Let n(w) = w**2 + 5. Let c(s) = 5*m(s) - 4*n(s). Let i(k) = -2*k. Determine c(i(j)).
4*j**2
Let q(g) = 11*g**2. Let h(s) = -s**2. Determine q(h(v)).
11*v**4
Let s(t) = 20*t. Let c(n) = -142*n. Calculate s(c(g)).
-2840*g
Let i be 0/(-1) - 5*-1. Let d(x) = -i - x + 0 + 5. Let m(u) = 2*u. Give d(m(r)).
-2*r
Let d(q) = -4181 + 2*q + 4181. Let f(o) = -18*o. Determine f(d(t)).
-36*t
Let f(c) = c. Let r(p) = 55*p. Let s(x) = 8*x. Let b(h) = 3*r(h) - 20*s(h). Give b(f(m)).
5*m
Let l(o) be the third derivative of o**4/24 - o**2. Let p(u) = 6*u. Let w(z) = 3*z. Let t = 0 + 4. Let q(s) = t*p(s) - 7*w(s). Give q(l(x)).
3*x
Let b(k) be the first derivative of 3*k**3 - k**2 + 16. Let i(l) = -l**2. What is i(b(j))?
-81*j**4 + 36*j**3 - 4*j**2
Let l(p) be the first derivative of -2*p**3/3 - 272. Let t(w) = 3 - 2*w + w - 3*w. Let v(c) = -c + 1. Let a(g) = 2* | {
"pile_set_name": "DM Mathematics"
} |
y ((j/j**5)/j**5)**(17/3) assuming j is positive.
j**(-51)
Simplify (t**(-8)*t**(-1/9))**(43/2) assuming t is positive.
t**(-3139/18)
Simplify (a**(8/3)/a**5)/((a**(-3/2)*a)/(a**(2/3)*a)) assuming a is positive.
a**(-1/6)
Simplify o/(o*(o/(o/o**5))/o)*o/o**(-11)*o assuming o is positive.
o**9
Simplify (t**0/t)/(t*t**4)*t**(-4)/t*t**(2/5)*t assuming t is positive.
t**(-48/5)
Simplify ((x*x**(-1))/x)**(1/4)*(x*x/(x*x/x**1))**(-16) assuming x is positive.
x**(-65/4)
Simplify p**6/p**(4/3)*(p*p/(((((p*p**5)/p)/p)/p*p)/p))/(p*(p/((p*p/((p*p**(-1))/p))/p))/p) assuming p is positive.
p**(14/3)
Simplify t**(-11)/t**(-1/16) assuming t is positive.
t**(-175/16)
Simplify (x**(-7)/(x**5*x))/((x/x**(-8))/x**8) assuming x is positive.
x**(-14)
Simplify (u**2/u*u*u*u*u**(-2))**(-16) assuming u is positive.
u**(-32)
Simplify o*(o/o**16)/o*o*o**(-2/3) assuming o is positive.
o**(-44/3)
Simplify g*g**(-1/7)*g**(5/3) assuming g is positive.
g**(53/21)
Simplify (q**(-1/3)*q*q*q**(-1/4)*q)/((q/(q/(q/q**(2/7))))/q**(-7/5)) assuming q is positive.
q**(127/420)
Simplify ((i/((i/i**(-2/3))/i*i))/i*i*i**(-5)*i)/(i**5*(i**5*i*i*i)/i) assuming i is positive.
i**(-50/3)
Simplify (r/(r/(r*r**(3/16))))/(r**(-3/5)*r) assuming r is positive.
r**(63/80)
Simplify m*m*m*(m*m*m*m/(m*m*m/m**(-2)*m*m)*m)/m*m*m**(-1)*m*m*m/m**(-5/6)*m/(m*m*m*m**(-3/11)) assuming m is positive.
m**(139/66)
Simplify (c**(-5)/(c/c**(4/5)))/(c/(c/c**(-2))*c)**(-1/15) assuming c is positive.
c**(-79/15)
Simplify ((l**(2/3))**50)**(-29) assuming l is positive.
l**(-2900/3)
Simplify (r**(-3/4)/r*r*r/(r/(r/(r*r**(-3/2)))))**25 assuming r is positive.
r**(75/4)
Simplify (q**(-6/13)/q)/(q/(q**(-10)/q)) assuming q is positive.
q**(-175/13)
Simplify (k/(k*k**(-3/4)/k*k*k))**(-49)/((((k/(k*k**(3/7)*k))/k*k)/k)/k**1) assuming k is positive.
k**(439/28)
Simplify t**(-14)/(t/(t*t**15*t)) assuming t is positive.
t**2
Simplify ((l**(-5))**(-30))**(1/64) assuming l is positive.
l**(75/32)
Simplify (m**(-3)*m*m**(-2/29))/(m**(-1))**(7/10) assuming m is positive.
m**(-397/290)
Simplify s**(-3/10)*s*s/s**(-18) assuming s is positive.
s**(197/10)
Simplify ((n/((n**2/n)/n))**(-15))**(2/125) assuming n is positive.
n**(-6/25)
Simplify (x**1)**9/(x**3/(x*x/(x/(x**(-1/14)*x))*x)) assuming x is positive.
x**(125/14)
Simplify (j*j*(j*j**(-2/13)/j*j*j)/j*j**3)**26 assuming j is positive.
j**152
Simplify (m**(1/34))**(2/7) assuming m is positive.
m**(1/119)
Simplify (r**(-6)/(r*r/((r/(r/r**5))/r)*r))/(r**(-1/6)*r*r*r**(-2/9)*r) assuming r is positive.
r**(-137/18)
Simplify a**(-17/5)*a/(a**(9/7)/a*a) assuming a is positive.
a**(-129/35)
Simplify ((k**(-2/7))**(27/2))**(10/13) assuming k is positive.
k**(-270/91)
Simplify ((h*h**(1/8))/h**(-3/2))**(-1/44) assuming h is positive.
h**(-21/352)
Simplify (((i/(i/(i*(i**(-24/5)*i)/i)))/i)/i)**(14/9) assuming i is positive.
i**(-406/45)
Simplify ((t**5*t)/t)**(16/3) assuming t is positive.
t**(80/3)
Simplify ((j/(j/j**(-5)))/(j**(-4/7)*j))/(j**(-7)*(j*j/j**(-2/7))/j) assuming j is positive.
j**(2/7)
Simplify (o**(6/7)/((o**(-1/6)/o*o)/o*o))/(o**3/(((o*o/((o*(o/o**(-2/11))/o*o)/o))/o)/o*o)) assuming o is positive.
o**(-997/462)
Simplify (z/((z**(1/3)*z*z)/z*z))/((z**(-8)*z)/z)*(z**1)**(18/11) assuming z is positive.
z**(274/33)
Simplify q**10*q**(-11) assuming q is positive.
1/q
Simplify o**(4/3)*(o/((((o**(-3)*o)/o)/o)/o)*o)/o*(o*o/((o*o**(-1/4)*o)/o))/(o/(o/(o*o**(-1/3)))) assuming o is positive.
o**(95/12)
Simplify (q/q**(3/7))/(q**2/q)*(q**(-2/7))**0 assuming q is positive.
q**(-3/7)
Simplify b/(b**13/b)*b*b**(-3)/b assuming b is positive.
b**(-14)
Simplify n*n/(n**(2/5)/n)*n*n*n*n**(-10)*n assuming n is positive.
n**(-17/5)
Simplify (o/o**4*o**(-6/5))**(18/11) assuming o is positive.
o**(-378/55)
Simplify (x/x**(-2/5))**(-40)*x**(-2)/((x**8/x)/x) assuming x is positive.
x**(-64)
Simplify ((m**(-2/7))**(-2/29))**(-1/5) assuming m is positive.
m**(-4/1015)
Simplify (m*m**2*m*m**(-5))/((m/((m*m**0)/m))/m*m)**(2/9) assuming m is positive.
m**(-11/9)
Simplify (d**(-6/11)*d*d)/((d*d/(d/d**(-3/8)))/d) assuming d is positive.
d**(161/88)
Simplify r**(-1/13)*r/r**20 assuming r is positive.
r**(-248/13)
Simplify (c**1*c**11)/((c**(-6)*c)/(c/c**(-7/3)*c)) assuming c is positive.
c**(64/3)
Simplify (h**(-1/17)*h)**(-32) assuming h is positive.
h**(-512/17)
Simplify (l*l**(4/11)/l*l*l)**(25/3) assuming l is positive.
l**(650/33)
Simplify ((d*d**(-3/7))/(d**(-2)/d))/(d*d*d**(-1/4))**(-44) assuming d is positive.
d**(564/7)
Simplify ((n/n**(1/5))/((n/(n*n**(-2/5)/n))/n))/((n**(3/4)/n*n)/(n**(-2/9)/n)) assuming n is positive.
n**(-283/180)
Simplify x*x**(-22/7)*x*x**(1/17) assuming x is positive.
x**(-129/119)
Simplify m**(-19/4)*(m/((m*m/m**45)/m))/m*m assuming m is positive.
m**(161/4)
Simplify q*(q*q**(-24))/q*q/(q/(q*q**(6/7))) assuming q is positive.
q**(-148/7)
Simplify i**4/((i**(2/13)*i)/i)*(((i*i**(-1))/i*i)/i)**(-37) assuming i is positive.
i**(531/13)
Simplify (v**(-2/19)/(v/v**(-2/13)))**(-20) assuming v is positive.
v**(6220/247)
Simplify (o*o**(-2))**(-39)/(o/(o**(-8)*o)*o*o*o/o**2) assuming o is positive.
o**30
Simplify (r*r/r**(1/18)*r/((r*r**(2/11))/r))**(-1/6) assuming r is positive.
r**(-547/1188)
Simplify m**(-1/42)/m**28 assuming m is positive.
m**(-1177/42)
Simplify (u/(u*(u/u**1)/u*u*u*u))**16 assuming u is positive.
u**(-32)
Simplify ((q/((q*q*q**1*q)/q*q))/q**3)**(-3/20) assuming q is positive.
q**(9/10)
Simplify z/z**(-6)*z*z*z*z**(-6) assuming z is positive.
z**4
Simplify z**26*z/(z**(4/3)*z)*z*z assuming z is positive.
z**(80/3)
Simplify (w*w**(4/7)*w*w*(w*w**(-2/3)/w)/w*w)/(w*w**(-1/2))**44 assuming w is positive.
w**(-401/21)
Simplify (w*w**(-1/2))/(w**2/w*w) assuming w is positive.
w**(-3/2)
Simplify ((z**(-1/7)/z)/(z*z**(5/4)))**(-10) assuming z is positive.
z**(475/14)
Simplify l**(-5)*l**3*(l**1)**(2/111) assuming l is positive.
l**(-220/111)
Simplify i**(-33/2)*i*i*i**(-3/4) assuming i is positive.
i**(-61/4)
Simplify (m*m**1*m*m*(m**6*m)/m)**(7/4) assuming m is positive.
m**(35/2)
Simplify (u/u**(-2/5))**(-2/3)/(u**(1/3)/u)**(23/5) assuming u is positive.
u**(32/15)
Simplify (u/(u/(u/(u**(2/3)/u)*u)*u))**(-9/4)*((u*u**0)/u)**(6/25) assuming u is positive.
u**(-3)
Simplify (j/(j/(j*j*j/(((j/j**(-4))/j)/j))))/j*j/j**(-36) assuming j is positive.
j**36
Simplify q**19*q**(2/3) assuming q is positive.
q**(59/3)
Simplify ((t**(1/4))**(22/5))**(4/11) assuming t is positive.
t**(2/5)
Simplify (z/z**1*z*z**(-3/8))/((z*z/z**(-4)*z)/z**8) assuming z is positive.
z**(13/8)
Simplify (v/v**(-3))**(2/25) assuming v is positive.
v**(8/25)
Simplify (c**1*c)/(c**18/c) assuming c is positive.
c**(-15)
Simplify x/(x**(-2)/x)*x*x*x*x**4*(x**(1/2)*x*x*x)/(x/((x**(-3)/x)/x)) assuming x is positive.
x**(17/2)
Simplify ((d*d*d**(3/11)*d*d)/d)/(d/(d*d**(-2))*d*d) assuming d is positive.
d**(-8/11)
Simplify x*x**4*x/x**4 assuming x is positive.
x**2
Simplify (v/(v*v**15*v*v*v)*v)/v**(2/7) assuming v is positive.
v**(-121/7)
Simplify d**(-18)/(d**(-14)*d*d) assuming d is positive.
d**(-6)
Simplify (g*g**(-24))**(2/67) assuming g is positive.
g**(-46/67)
Simplify (i/i**(-14))/i*i*i**(-1) assuming i is positive.
i**14
Simplify w**7*w**(-2/39)*w*w assuming w is positive.
w**(349/39)
Simplify (v/(v*v/v**(-18)))/(v**(2/19)*v*v*v) assuming v is positive.
v**(-420/19)
Simplify k**(-16)/(k*k*k**(-3/16)) assuming k is positive.
k**(-285/16)
Simplify (m/m**(1/2))**(-2/13)*(m/m**(-1/4))**40 assuming m is positive.
m**(649/13)
Simplify u**(-6)/(u*u**9)*((((u*u**(-6)*u)/u)/u)/u)/(u*u*u/u**0*u) assuming u is positive.
u**(-27)
Simplify (k**(2/3)/k)**(-1)*k**(-6)*k**5 assuming k is positive.
k**(-2/3)
Simplify d**(-1/3)/d*d**(-15) assuming d is positive.
d**(-49/3)
Simplify (j**(-1))**(6/11)/((j/(j/j**(-2/13)))/((j*j/(j/((j*j*j**(-5/2))/j)))/j*j)) assuming j is positive.
j**(-255/286)
Simplify y/y**(-3)*y*y/(y*y**(2/5)/y)*y*(y**0/y)**(-31) assuming y is positive.
y**(188/5)
Simplify i**19*i**(-9) assuming i is positive.
i**10
Simplify ((d/(d*d**(-1/8)))/(d*d**5*d*d))**(-10) assuming d is positive.
d**(315/4)
Simplify (i*(i**(-7)/i)/i)/(i**5/i) assuming i is positive.
i**(-12)
Simplify (w**(4/9)*w/w**1)/(w**(1/3)*w*(((w/(w*(w**(2/7)*w)/w*w))/w)/w)/w) assuming w is positive.
w**(214/63)
Simplify (((l** | {
"pile_set_name": "DM Mathematics"
} |
01758*-7
-712306
-0.8834 times 8
-7.0672
-7.58*0.36
-2.7288
-346.09*-0.61
211.1149
Calculate 7674*-0.6.
-4604.4
-8.364*-6
50.184
Product of 64062 and 0.1.
6406.2
What is the product of -71 and 26.57?
-1886.47
Calculate -5*-181457.
907285
-0.5*-0.5576
0.2788
-5362 times 103
-552286
Product of 8 and 0.05783.
0.46264
Work out 414 * -0.05.
-20.7
Multiply 0.03 and -0.01076.
-0.0003228
What is 7.82 times -39?
-304.98
Calculate 420.97*-0.07.
-29.4679
Calculate -320*-4.25.
1360
Product of -3.544322 and 2.
-7.088644
Product of -5 and 181510.
-907550
Multiply -0.1028 and -31.78.
3.266984
Work out -341003 * 0.15.
-51150.45
Calculate -2203*-3.
6609
What is 0.04 times -1509.5?
-60.38
Work out 0.36 * 16650.
5994
-2 times 0.117297
-0.234594
Work out 2.03 * 1990.4.
4040.512
What is the product of 42055 and 0.09?
3784.95
71100*-4
-284400
What is 39006 times 0.4?
15602.4
Product of 0.5 and 0.306732.
0.153366
-0.2 * -1162.7
232.54
-13318*-0.4
5327.2
-8.6 * 342
-2941.2
5*309
1545
68 times 2.1
142.8
-49 * 21045
-1031205
What is the product of -53 and 0.08008?
-4.24424
16.8 * 105
1764
Multiply -735 and 1.551.
-1139.985
-3431 * 0.12
-411.72
68654 times 6
411924
Work out 3582 * -103.
-368946
Multiply 0.104 and 8593.
893.672
-0.2 * -35118
7023.6
What is 2731 times -5?
-13655
-2296 times 27
-61992
-2651 times -4
10604
Work out 477 * 0.04028.
19.21356
Work out -68745.3 * 0.1.
-6874.53
What is -3 times -826728?
2480184
6420 * -278
-1784760
Product of -159 and 5.87.
-933.33
-34*-56336
1915424
What is the product of -202 and 588.6?
-118897.2
-0.388 * -24
9.312
12.27*-4
-49.08
What is the product of -69840 and 3?
-209520
Multiply -3 and -443593.
1330779
Multiply -183 and -42.2.
7722.6
Product of -7 and -7228.
50596
What is 0.5 times -19.997?
-9.9985
What is the product of -6.3495 and -0.05?
0.317475
-0.5 times -8124
4062
0.005493 * -15
-0.082395
-245939 * -5
1229695
What is the product of 0.04 and -3402?
-136.08
Multiply -5750.44 and 7.
-40253.08
What is the product of 1177 and -0.6?
-706.2
Calculate -709699*-0.01.
7096.99
-5 times 108.642
-543.21
What is the product of 36.6 and -0.047?
-1.7202
Work out 15 * -29987.
-449805
2797.9 times 0.1
279.79
Calculate 75742*0.1.
7574.2
Calculate -13.39*-34.
455.26
Work out 0.076 * 0.35.
0.0266
What is -2 times -29615?
59230
-1 times -153064
153064
Multiply -167.2 and 4.34.
-725.648
Work out 17.978 * 3.
53.934
Calculate -0.55*3874.
-2130.7
Calculate -6915.7*-4.
27662.8
What is -0.5 times -222.4?
111.2
Work out -0.03 * -60675.
1820.25
2081.4 * -2.3
-4787.22
-862 * 0.014
-12.068
Calculate 0.4*-663.94.
-265.576
Work out 0.2 * 1336.
267.2
Product of -99 and 10078.
-997722
213732*-0.5
-106866
What is the product of -5 and 0.04554?
-0.2277
Calculate 0.053465*-8.
-0.42772
What is -102092 times 0.2?
-20418.4
921018 * -0.3
-276305.4
What is the product of 0.0437 and -2399?
-104.8363
Calculate 0.3*173.4.
52.02
What is the product of 62546 and 0.05?
3127.3
Work out 0.5 * -63018.
-31509
-1.49 * 2430
-3620.7
Multiply -0.02 and 61672.
-1233.44
What is -11.898 times 67?
-797.166
Work out 34668 * 7.
242676
Calculate -0.1473*2.
-0.2946
-26906*-0.02
538.12
What is -1.3 times -3148?
4092.4
Calculate -0.0388*396.
-15.3648
328.83 times 0.2
65.766
What is the product of 861 and -32?
-27552
What is -21.3 times -0.322?
6.8586
0.19*-33257.4
-6318.906
Product of -0.075 and -7002.
525.15
Calculate 0*-2040.
0
Calculate -10.5*-65.37.
686.385
What is -0.8 times 0.133016?
-0.1064128
-13.48 times 33
-444.84
What is the product of 34696 and -4?
-138784
-0.179 * -0.18
0.03222
-0.8*7257
-5805.6
What is the product of -0.114 and 83.9?
-9.5646
-177 * 0.01948
-3.44796
67673*-0.3
-20301.9
61.17 * 0.12
7.3404
28*-3729
-104412
0.8735 times 6
5.241
-6.155 * -0.4
2.462
Work out 145643 * -1.
-145643
What is the product of -1 and -13656?
13656
0.6*-5841
-3504.6
0 * 0.485422
0
What is the product of 0.3 and 2.2598?
0.67794
17 * -102639
-1744863
Calculate -43.37*12.
-520.44
Calculate -380434*-5.
1902170
Multiply 136.1 and -0.0845.
-11.50045
What is the product of -14.549 and 55?
-800.195
What is 250.8 times 9?
2257.2
Multiply 4.719 and -206.
-972.114
Product of -9 and 1600.
-14400
4*11.9346
47.7384
-21 * 63300
-1329300
What is the product of -81 and 881?
-71361
-32540*2
-65080
-6460*-3
19380
Multiply 0.312 and -75.
-23.4
Multiply 52.6916 and 2.
105.3832
Calculate -5.9*32.4.
-191.16
Calculate -0.1904*-12.
2.2848
Multiply 0.11 and 19.397.
2.13367
Work out 104 * -2.014.
-209.456
2.1*0.507
1.0647
Multiply -36.46 and -49.
1786.54
0.5 times -19038
-9519
What is the product of -45.9 and 250?
-11475
What is -126024 times 3?
-378072
-75 * -0.2421
18.1575
Work out -11 * -54863.
603493
Multiply 4 and -0.10066.
-0.40264
Product of 10528 and -659.
-6937952
Product of 0.022076 and 0.3.
0.0066228
What is the product of -24038 and 3?
-72114
Multiply -0.629 and -38.
23.902
Product of -8293.2 and 0.03.
-248.796
24.758 * -0.4
-9.9032
What is 0.457 times 9485?
4334.645
What is the product of 8785 and 8?
70280
Multiply -53 and -213.
11289
-0.1*-205970
20597
Calculate 13702*29.
397358
What is -30804 times 2?
-61608
-0.16*7.8
-1.248
Calculate 1.74*17.8.
30.972
What is the product of -394 and 0.8?
-315.2
Work out -2516 * -230.
578680
Product of -5.33 and -164.
874.12
8 * -270.395
-2163.16
Multiply 5 and 2216.1.
11080.5
What is 99 times 1983?
196317
What is the product of -207.06 and -17?
3520.02
Product of 0.056 and -0.19697.
-0.01103032
16792 * 0.3
5037.6
What is the product of 7 and 8107?
56749
5919 * -170
-1006230
Multiply 9576 and 116.
1110816
157694*-4
-630776
1.323696 * -0.4
-0.5294784
Multiply 1178638 and -0.4.
-471455.2
-0.7 times -57142
39999.4
53339 * 23
1226797
Product of -0.044 and 2835.
-124.74
Product of 8224.8 and -7.
-57573.6
Work out 5 * 15.1806.
75.903
Multiply -0.82 and 74.
-60.68
What is the product of 0.22215 and 0.2?
0.04443
Calculate -4.061*146.
-592.906
Work out 0.4 * 3801.
1520.4
Multiply -7 and -18353.
128471
247 times 0.167
41.249
Multiply 130 and 0.155.
20.15
Product of 3365 and 6.
20190
Product of -0.03 and -2871.5.
86.145
Multiply -3 and 5693.5.
-17080.5
Work out 0.8416 * -5.
-4.208
417 * 2078
866526
Multiply -5 and 1389.8.
-6949
What is the product of 0.2 and 494.3?
98.86
Work out 6911 * 0.15.
1036.65
What is 2 times -0.11426?
-0.22852
Work out -1 * -137.737.
137.737
Work out 0.3 * -9895.
-2968.5
What is the product of -0.029776 and 0.06?
-0.00178656
-0.79 times 0.038
-0.03002
Product of 0.62 and 6.853.
4.24886
Product of -8.69 and 232.7.
-2022.163
Work out -0.2 * -33.187.
6.6374
What is the product of -1.39536 and -2?
2.79072
What is the product of 0.0624 and 82?
5.1168
Calculate 710*-0.08.
-56.8
1654*0.08
132.32
What is 13 times -83425?
-1084525
Multiply 1.4 and 3755.4.
5257.56
Work out -2 * -5454.
10908
Work out 6 * -43.49.
-260.94
Calculate 2.3*4.5.
10.35
Product of -5 and 3.131.
-15.655
Calculate -12003*30.
-360090
Calculate 31*0.241.
7.471
What is 0.5 times 2513.2?
1256.6
7005.1 * -2
-14010.2
576 times -0.09691
-55.82016
Product of -1619 and 3.
-4857
What is -58629 times -1?
58629
Work out -723605 * -5.
3618025
-277 times -0.021
5.817
Calculate -2.1*6952.
-14599.2
Product of 558.29 and -0.04.
-22.3316
Product of -4 and -0.859.
3.436
463 times 0.05
23.15
Work out -1742 * 0.62.
-1080.04
87*-0.152
-13.224
Calculate -0.1*-1416856.
141685.6
Multiply -2 and 329.21.
-658.42
Work out 5 * 353.1.
1765.5
Work out 0.4 * 49945.
19978
What is -10 times 2335?
-23350
Calculate -19670*-4.
78680
What is 5.42 times 4.06?
22.0052
What is 88.2 times -1416?
-124891.2
3087 * 5.12
15805.44
0 * 50.207
0
-27827*-3.4
94611.8
-16234 times -1.2
19480.8
-0.3 * 0.320077
-0.0960231
Calculate -21496*-0.63.
13542.48
What is the product of 765 and 0.005?
3.825
What is -38485 times 0.3?
-11545.5
Product of 0.5 and 0.06796.
0.03398
Work out -10523 * 264.
-2778072
-0.04 * -243.55
9.742
-43 times -1648
70864
Work out -3421856 * -0.4.
1368742.4
122122 times -0.3
-36636.6
Multiply 184649.2 and 0.3.
55394.76
8 * -8215
-65720
-2 times -26.2605
52.521
Multiply 0.05379 and 0.3.
0.016137
15 times -0.40017
-6.00255
Calculate -0.126495*-0.3.
0.0379485
Multiply 0.096 and -24920.
-2392.32
0.1 times 0.839221
0.0839221
Work out 3 * -62566.
-187698
Product of 0.09 and -0.222553.
-0.02002977
Multiply 1.11 and -25856. | {
"pile_set_name": "DM Mathematics"
} |
2*r**2*v + a*h*r**2*v**2 - a*r*v**2 + 2*h**3*r**2*v**2 wrt a?
138*h**3*r**2*v - 78*v**2
What is the second derivative of -2*a*d**3*u + 164*a*d**3 - 23*a*d*u**2 + d**3*u**2 - 2*d**2*u**2 wrt u?
-46*a*d + 2*d**3 - 4*d**2
What is the third derivative of -248*h**3 - 394*h**2 - 3*h?
-1488
Find the second derivative of 3*n**2*o + 2*n**2*r*z - n**2*r + n*r*z + 2*n*z - 3*n - o wrt n.
6*o + 4*r*z - 2*r
Differentiate -2*i**4 - 212*i*l - 8437*l wrt i.
-8*i**3 - 212*l
Find the second derivative of 11*a*q**3 + 2*a*q**2 - 149*a*q + q wrt q.
66*a*q + 4*a
Find the third derivative of -88*z**6 - 178*z**2 wrt z.
-10560*z**3
What is the derivative of -31*g**4*z**2 + 45*g**4 - 3*z**2 + 1237 wrt g?
-124*g**3*z**2 + 180*g**3
What is the derivative of -d**2*o + 2*d*g*o - 5*d*g - d + 5*g + 4*o - 4 wrt d?
-2*d*o + 2*g*o - 5*g - 1
What is the third derivative of -19*c**4 + 68*c**3 - 219*c**2 + 8*c - 4 wrt c?
-456*c + 408
Find the second derivative of 310*c**3*x**2 - 2*c**3*x - 34*x wrt x.
620*c**3
What is the third derivative of 10*q**2*u**4 - 19*q**2*u**3 + 5*q**2*u**2 + 25*q**2*u + q wrt u?
240*q**2*u - 114*q**2
Find the third derivative of 6*z**6 - 13*z**4 - 14*z**2 + 1.
720*z**3 - 312*z
Find the second derivative of 164*r**3 + 260*r wrt r.
984*r
Find the first derivative of -16*i**4 + 5*i - 497 wrt i.
-64*i**3 + 5
What is the third derivative of -i*s**3*y - i*s**3 + 6*i*s**2*y - 13*i*s*y + 22*i*y - 231*s**3*y - 1 wrt s?
-6*i*y - 6*i - 1386*y
What is the second derivative of -6*h**4*o**2 + 21*h**2*o**2 - h*o**2 - 7*h*o - 6*o**2 wrt h?
-72*h**2*o**2 + 42*o**2
What is the first derivative of 95*l**2*z - 310*l**2 + 9*z wrt z?
95*l**2 + 9
Find the second derivative of 762*u**4 - 3*u**3 + 2*u**2 + u + 6410.
9144*u**2 - 18*u + 4
Find the third derivative of -35*p**5 + 214*p**2.
-2100*p**2
What is the derivative of -30*t**4 - 17*t**2*u**2 + 2*u**2 - 1786*u wrt t?
-120*t**3 - 34*t*u**2
Differentiate -2*c**2*k**2 + 5*c**2*k - 4*c**2*y - 2*c + 4*k**2*y - 3*y wrt c.
-4*c*k**2 + 10*c*k - 8*c*y - 2
Find the third derivative of 147*s**2*t**4 + 4*s**2*t**2 - 2*s*t**4 + 14*s*t**3 + 62*s + t**2 + 1 wrt t.
3528*s**2*t - 48*s*t + 84*s
What is the derivative of 189*q**3*v - 6*q**3 + 12*q wrt v?
189*q**3
What is the second derivative of -7*d**5*r - 2*d**5 - 2*d**3 - 79*d*r + d wrt d?
-140*d**3*r - 40*d**3 - 12*d
Find the second derivative of 6*r**4 + 33*r**3 - 452*r wrt r.
72*r**2 + 198*r
Find the third derivative of -3*l*o**5 + 37*l*o**4 - 2*l*o**2 - 3*o**4 + 2*o**2 - 10*o wrt o.
-180*l*o**2 + 888*l*o - 72*o
Differentiate d**2*f*j + 2*d**2 + 632*d*f - 4*f*j**3 - 15*j**3 + 144*j wrt f.
d**2*j + 632*d - 4*j**3
Find the second derivative of 657*c**2*w**2 + 2*c**2*w - c**2 + 57*c*w + 1 wrt w.
1314*c**2
What is the derivative of 3812*g*r - 30052*r wrt g?
3812*r
What is the third derivative of 183*r**3*w**3 + 9*r**3*w**2 + 6*w**2 wrt w?
1098*r**3
Find the second derivative of g**3*i + g**3 - g**2*i + 152*g*i wrt g.
6*g*i + 6*g - 2*i
Find the third derivative of -5309*s**5 - 4221*s**2.
-318540*s**2
Find the third derivative of -10073*b**4*t**3 + 3*b**2*t**3 + 274*b**2 - b*t**3 + 2*b*t wrt b.
-241752*b*t**3
What is the second derivative of -288*k**3 - 616*k wrt k?
-1728*k
Find the second derivative of 56*f**3 - f**2 - 55*f wrt f.
336*f - 2
What is the second derivative of -i*u*x - i*u*z**2 + 7*i*u*z + i*u + 2*i*x*z**2 - i*x*z - 48*x*z**2 wrt z?
-2*i*u + 4*i*x - 96*x
Find the second derivative of 2435*j**2*p**2 - 11*j*p**2 + 3*j*p wrt j.
4870*p**2
What is the third derivative of -1816*t**4 - 3490*t**2 wrt t?
-43584*t
Find the third derivative of -6*b**4 + 8*b**3 - 2*b**2 - 182*b.
-144*b + 48
What is the derivative of -6*g**3 + 68*g**2 - 2037 wrt g?
-18*g**2 + 136*g
Find the third derivative of -13*a*b**3*k*w**2 + a*b**2*k*w**2 + 7*a*k - a*w + 382*b**3*w**2 - 2*b**2*w**2 - 3*b*k*w - 2*b wrt b.
-78*a*k*w**2 + 2292*w**2
What is the derivative of -46*z**4 + 2*z**2 + 11?
-184*z**3 + 4*z
Find the second derivative of -90*z**2 - 452*z wrt z.
-180
What is the first derivative of 307*h*t - 3*h + 5*t + 416 wrt h?
307*t - 3
What is the third derivative of -5*k**2*z**4 - 2*k**2*z**2 + 66*k*z**3 + 307*k*z**2 - z**6 wrt z?
-120*k**2*z + 396*k - 120*z**3
Find the second derivative of 19*h**3*j**2 + 7*h**3*j - 2*h**2*j - 480*h*j**2 - 12 wrt h.
114*h*j**2 + 42*h*j - 4*j
What is the second derivative of -18*n*q**3 + 15*n*q**2 + n*q + 823*n + 2*q wrt q?
-108*n*q + 30*n
Find the third derivative of 48*k**6 + 16*k**5 + k**4 - 110*k**2 - 2 wrt k.
5760*k**3 + 960*k**2 + 24*k
Find the second derivative of -29*m**3 - 2*m**2 - 125*m.
-174*m - 4
What is the second derivative of 23*f*s*v**3 - 3*f*s*v - 6*f*s - f*v**2 - s*v - 2*v**3 wrt v?
138*f*s*v - 2*f - 12*v
What is the second derivative of -g**2*q*x**2 + 2898*g**2*q*x - g*q*x**2 - 2*g*x**2 - 3*g + 2*q*x**2 - 31 wrt g?
-2*q*x**2 + 5796*q*x
Differentiate 284*x*y**3 - 83*y**3 with respect to x.
284*y**3
What is the second derivative of 490*o**2*y - 2*o*y + 138 wrt o?
980*y
What is the third derivative of -6*a**3*r**4 - 2*a**3*r**2*s + a**2*r**2*s - r**4*s + 41*s wrt r?
-144*a**3*r - 24*r*s
What is the third derivative of f*k**5 + 4*f*k**2 + 18*f*k + 3*f - 4560*k**4 + 2*k**2 wrt k?
60*f*k**2 - 109440*k
What is the second derivative of -49*y**3 - 2*y - 66 wrt y?
-294*y
Find the second derivative of -537*b*j**3 + b + 9*g*j**3 - 12*g*j - 10*g wrt j.
-3222*b*j + 54*g*j
What is the first derivative of 6297*l - 3504?
6297
Find the second derivative of -6*j**2*p**2 + 2254*j**2*p + j*p + p**3 - 4*p**2 wrt p.
-12*j**2 + 6*p - 8
What is the first derivative of -804*j**2*y**2 - 458*y**2 + 2 wrt j?
-1608*j*y**2
Find the second derivative of 2925*z**4 + 1839*z.
35100*z**2
What is the second derivative of 2*h**3*m**3 + 2*h**3*m**2 - 134*h**3 + 2*h**2*m - 47*m**3 wrt m?
12*h**3*m + 4*h**3 - 282*m
Find the second derivative of -2*i**3*m**3 - 2*i**3*m + 2*i**2*m**2 - 8*i**2 - 34*i*m**3 + 42*m wrt m.
-12*i**3*m + 4*i**2 - 204*i*m
What is the third derivative of -2*a**3*b**2 - 9*a**3*b*k - 3*a**2*k + 2*a**2 + b**2*k - 10*b**2 wrt a?
-12*b**2 - 54*b*k
Find the second derivative of -1583*i**2 - 1629*i wrt i.
-3166
What is the third derivative of -59*d*q*v**3 - 2*d*q - 2*d*v**3 + q*v**3 - 537*q*v + 2*v**2 wrt v?
-354*d*q - 12*d + 6*q
Find the second derivative of -2*g**2*q*z - 2801*g**2*q + g*q*z + 56*g*q + 20*g*z - 1 wrt g.
-4*q*z - 5602*q
Differentiate -912*u**4 - 127 wrt u.
-3648*u**3
Find the second derivative of 3*n**4*q - 93*n**3*q**2 - 300*n*q**2 wrt n.
36*n**2*q - 558*n*q**2
What is the third derivative of 3*h**5 - 3*h**4 - 1174*h**3*u + 11*h**2 - 65*h + 3*u wrt h?
180*h**2 - 72*h - 7044*u
Find the third derivative of -87*p**3*x**3 + 5*p**2*x**3 + 6*p**2*x wrt p.
-522*x**3
What is the second derivative of -2145*m**3 - 1945*m + 1 wrt m?
-12870*m
What is the third derivative of -1094*j**3 - 20*j**2 + 2*j wrt j?
-6564
What is the first derivative of -2890*w**3 + 2*w - 4451?
-8670*w**2 + 2
Find the third derivative of -124*s**2*w**3 - 48*s**2*w**2 - 6*s**2*w - s*w**3 + 2*w**2 wrt w.
-744*s**2 - 6*s
Differentiate 32*w**3*y - 23253*w**3 + 101*w*y**4 wrt y.
32*w**3 + 404*w*y**3
What is the third derivative of -56*q**5 + 174*q**2 wrt q?
-3360*q**2
Find the first derivative of 5*f**2*q**2*y + 2*f**2*q - f**2 + 58*f*q*y - 88*f*y wrt q.
10*f**2*q*y + 2*f**2 + 58*f*y
Find the third derivative of 4*o**2*u**3 - 2*o**2*u**2 + 2*o**2*x**2 + 3*o*u**2*x**2 + 3*u**5*x - 4*u**3*x**3 - 22*u**2*x**3 wrt u.
24*o**2 + 180*u**2*x - 24*x**3
What is the third derivative of -303*m**5 + 6*m**4 - 2270*m**2?
-18180*m**2 + 144*m
Find the second derivative of 5*d**5 + 29*d**4 - 1433*d wrt d.
100*d**3 + 348*d**2
What is the second derivative of 42*l**4 + 2*l**3 - 179*l + 1?
504*l**2 + 12*l
Find the first derivative of 7*c*i**2*r*s + c*i**2*s**2 - 9*c*i**2*s + 3*c*i*s**2 + 27*c*i*s - c*r*s + 64*r*s**2 wrt r.
7*c*i**2*s - c*s + 64*s**2
Find the third derivative of -80*q**6 - q**5 + 134*q**2.
-9600*q**3 - 60*q**2
Find the third derivative of -3*q**2*s**4 - 3*q**2*s**3 + q**2*s + 22*s**2 wrt s.
-72*q**2*s - 18*q**2
What is the second derivative of 3*a**4*x + 6*a**2*x + 3*a*x - 2*a + 3*x wrt a?
36*a**2*x + 12*x
What is the third derivative of -7670*z**3 - 2*z**2 + 6787*z wrt z?
-46020
Find the second derivative of -204 | {
"pile_set_name": "DM Mathematics"
} |
i - 2*i) to the form m + d*i and give d.
15398
Express -64*p**3 - 77*p**3 - 23*p - 2*p**2 - 61 + 20*p + 144*p**3 as z + j*p + n*p**3 + x*p**2 and give n.
3
Express 141*r - 3125 + 6*r**2 - 3*r**3 - 7*r**2 + 3124 as n + z*r**2 + s*r**3 + k*r and give z.
-1
Rearrange (-3 + 4 - 2)*(-3 + 5*n + 3) - 6 + 464*n + 4 + 1325*n + (-n - 3 + 3)*(-2 + 1 + 2) + 2*n + n - n to p + q*n and give p.
-2
Rearrange 5*k**2 + 2*k**2 - 6*k**2 + (2*k + 7*k - 3*k)*(-2*k + 0*k - 3*k) - 51*k**2 + 11*k**2 - 30*k**2 to z + v*k + q*k**2 and give q.
-99
Rearrange (p**3 - p**2 + p**2)*(-71*p + 12*p - 32*p) + p**4 - 10*p**4 - 4*p**4 to l*p**2 + h*p**4 + t*p**3 + y*p + r and give h.
-104
Rearrange -844*p - 207*p - 787*p + 96*p - 930*p to the form q*p + t and give q.
-2672
Express (-64 - 74 - 2*o + 130)*(8 - 8 - o) + 46 + 2*o - 46 + 9*o**2 as n + m*o + z*o**2 and give m.
10
Rearrange -13336*j - 2260746 + 2260746 to n + v*j and give v.
-13336
Express -t + 13*t**3 + 26*t**2 + 119*t**2 + 5*t**3 - 19*t**3 in the form a*t**3 + g*t + o*t**2 + j and give a.
-1
Rearrange -2293*i**2 + 1114*i**2 + 1285 + 1183*i**2 to the form y + m*i + l*i**2 and give y.
1285
Express -18*x**3 - 3 - 147060*x**2 + 147079*x**2 - 2*x + x**4 + 3 in the form b + h*x**4 + m*x + l*x**3 + w*x**2 and give w.
19
Express -1 + 44*m + 62*m + 8*m + 48*m - 3*m**2 + 75*m as s*m**2 + a*m + x and give a.
237
Express -70 - 69 + 2849*o**3 - 72 + 208 - 939*o**3 in the form i + v*o + l*o**2 + p*o**3 and give p.
1910
Express (-2 - 1 + 1)*(-1712 - 2281 + 386)*(-1 + 5*r + r - 3*r)*(4*r - r - r) in the form t*r + f + c*r**2 and give c.
43284
Express 6482*c - 5597*c + 4800*c as i + g*c and give g.
5685
Rearrange -1306*o + 644*o + 322*o - 408*o - 1665*o to the form h + d*o and give d.
-2413
Express 0 - 5 + 2875*v + 2868*v - 6098*v in the form f + l*v and give l.
-355
Rearrange v**2 - 737*v**4 + 38 - 483*v**3 + 0 + v + 494*v**3 + 736*v**4 to the form s + h*v + w*v**2 + z*v**4 + j*v**3 and give w.
1
Express -3*z**2 + 353*z**3 - 116*z - 1 + 305*z - 2 - 189*z in the form h*z + r*z**2 + q*z**3 + y and give y.
-3
Express -12*n + 11*n + 397*n**3 + 10 - 433*n**3 in the form s + z*n**2 + p*n**3 + j*n and give p.
-36
Rearrange (-1056 + 1721 - 963)*(-822 + 822 + 17*s) to the form n*s + m and give m.
0
Rearrange 130*o**4 + 136*o**4 - 377*o**4 - o**2 + 56*o + o**3 + 124*o**4 to the form u*o**4 + n*o + f + x*o**3 + r*o**2 and give u.
13
Express (3 + 2 - 6)*(-12 - 28*k + 12) + k - 5*k - k + 8*k - 2*k + 0*k as i*k + x and give i.
29
Rearrange (-3*o + 0*o + 2*o)*((1 - 2 + 0)*(-2*o + o + 5*o) + 49*o + 87*o - 78*o)*(2*o + o - o)*(-3 + 1 + 4) to the form u + p*o + s*o**2 + b*o**3 and give b.
-216
Rearrange (-o**2 - o**2 + 3*o**2)*(4*o - 3*o - 3*o) + 1 - 3*o**3 - 1 + 1333*o**3 - 31*o**2 - 7*o**2 - 1342*o**3 to i*o**2 + b*o + t + u*o**3 and give i.
-38
Rearrange (-46*w - 536 + 536)*(6*w + 11*w - 6*w) to s*w + m*w**2 + g and give m.
-506
Express -1136 - 1133 + 2269 - 15136*k in the form z + v*k and give v.
-15136
Rearrange (o + 2*o - o)*(-2*o**3 + 0*o**3 + 4*o**3) + 1117486*o**2 - 1117486*o**2 - 1650*o**4 to the form g*o**3 + c*o**2 + a*o**4 + h + i*o and give a.
-1646
Rearrange (-1 + 0 - 1)*(2*s - 2*s - 2*s) + (3*s + 5*s + 10*s)*(-1447 - 1426 + 917) to i + d*s and give d.
-35204
Express -15*a**4 - 10*a**3 + 8*a**3 + 18*a**2 + 2 - 3*a**2 + 6*a - 2*a - 16*a**2 in the form q + h*a**2 + z*a**3 + f*a**4 + n*a and give z.
-2
Express 216*p**2 - 4*p**3 + 27*p**2 - 4 + 1 + 10*p**2 + 5*p**3 in the form c*p + f*p**3 + n + r*p**2 and give f.
1
Rearrange (2*i**2 - 3*i**2 + 4*i**2)*(5260*i**2 + 5260*i**2 - 10519*i**2 + 81 + 16*i) to the form v*i + c + n*i**2 + b*i**4 + s*i**3 and give n.
243
Express (-c + 4*c - c)*(-12215*c + 24490*c - 31520*c + 61914*c + 77850*c) as x*c + j + g*c**2 and give g.
241038
Express (1 - 4 + 5)*(32644 + 8*u**2 - 16374 - 16565) in the form r*u**2 + n + a*u and give n.
-590
Express -3*h + 321 + 622 - 1219 - 3551 - 1871 in the form y*h + p and give y.
-3
Express (5 - 2 - 4)*(24 + 177 + 825)*(-r + 2*r - 2*r) in the form v + z*r and give z.
1026
Rearrange 1652*v - 2684*v + 6221*v + 5414*v to l + a*v and give a.
10603
Rearrange (-t + 2 - 2)*(-1 - 1 - 1) + 612*t - 2292*t + 311*t - 1407*t + 2*t - 2*t + 2*t to s*t + c and give s.
-2771
Rearrange 2*y**2 + 11*y**3 - 10*y**3 - 3*y**2 - 2 - 8*y**3 - 5*y**3 - 12*y**3 + (-2 + 6 - 1)*(4*y**3 + 5*y**3 + 2*y**3) to h*y**3 + c*y + l*y**2 + m and give h.
9
Rearrange 2 - 5 + 1 + 35929*k**2 - 35713*k**2 to the form t + u*k + f*k**2 and give t.
-2
Rearrange (2*j + 2*j - 3*j)*(-6884*j**3 - 9448*j**3 + 831*j**2 - 831*j**2) to c*j**2 + f + d*j + k*j**3 + p*j**4 and give p.
-16332
Express (-114*c + 83*c - 87*c - 74*c)*(2 - 2 - 5) + (-2*c - 3*c + 6*c)*(1 + 1 - 4) + 0*c + 4*c - c as n + z*c and give n.
0
Rearrange -13*t**2 + 12 - 475*t + 26*t**2 - 11*t**2 - 10 to p*t**2 + m*t + y and give p.
2
Express -671*c + 733*c + 965*c + 655*c as z*c + g and give z.
1682
Express -q - q + 3*q + (1 + 1 + 0)*(q + 0*q - 2*q) - 2*q - 4*q + 3*q - 3*q - 5 - 2 + 6 as s*q + z and give s.
-7
Rearrange -107*y**2 - 6 + 212*y**2 - 109*y**2 + 46 + 2*y**3 to z*y**3 + p*y + i + m*y**2 and give m.
-4
Rearrange 1392*z**2 - 5593*z + 1 - 171*z**2 + 11185*z - 5594*z to the form p + s*z**2 + w*z and give p.
1
Express (10*g - 68*g + 38*g + 49*g)*(-4*g - 3*g + 2*g) in the form q*g + p + z*g**2 and give z.
-145
Rearrange 3*y - 5*y + 0*y + (-y - 2 + 4*y - 4*y)*(536 + 52 + 68) - 2 + 2 - y to v*y + l and give l.
-1312
Express (-9 - 24*k + 9)*(-k**2 + 0*k**2 + 7*k**2) + 170*k**2 - 170*k**2 - 12*k**3 as x*k**2 + d*k + q*k**3 + l and give q.
-156
Rearrange -55 - 2*g - 23 - 95 + 19 - 137 to q + p*g and give p.
-2
Rearrange -79*f + 14*f - 3*f**2 + 57*f + 58*f**4 + 5*f + 2*f**3 + 0*f**3 to d*f**2 + m*f**3 + b*f**4 + x + n*f and give b.
58
Rearrange 10*l**4 - 3130*l - 2*l**4 + 0*l**2 + 0*l**2 + 4*l**2 + 3246*l to the form o*l**2 + b*l**3 + q*l**4 + t*l + p and give t.
116
Rearrange 300*w**2 + 16*w - 2*w**3 + w**3 - 2 - 679*w**2 - 688*w**2 - 18*w to the form k*w**2 + m*w + p*w**3 + y and give k.
-1067
Rearrange (-1 + 3 - 1)*(2 - 4 + 5)*(1 - k - 1) + (0 + 4 - 6)*(-k - 52*k + 31*k) + k + 3*k - 5*k + (-1 - 2 + 4)*(k - 3*k + k) to the form j + i*k and give i.
39
Express 417*g + 1049*g - 713*g + 882*g + 1096*g in the form c + w*g and give w.
2731
Express -534*x**2 - 49*x + 1059*x**2 - 88*x - 525*x**2 - 39*x**3 in the form y*x + u + c*x**2 + q*x**3 and give y.
-137
Rearrange t**2 - 1570 + 3486 - 1588 to s*t + k + w*t**2 and give w.
1
Rearrange -249 - 322*r**2 - 27 + 10*r**2 - 114 + 303*r**2 to j*r**2 + c + n*r and give c.
-390
Express -1 + 10402*f**3 + 3*f**2 - 10405*f**3 + 17*f**4 + f - 4*f**2 in the form l*f**3 + g*f**2 + q + i*f**4 + y*f and give g.
-1
Express (-151 + 10*m + 13*m - 25*m)*(12*m**2 - 19 + 2*m**2 + 22) as h*m**2 + q + c*m**3 + u*m and give q.
-453
Express -4*x + 4*x + x**2 + (2*x - 2*x + 3*x)*(2*x + 2*x - 3*x) - x**2 - 5 + 5 - 2 + 73*x**2 - 579*x + 579*x as p*x**2 + q + i*x and give p.
76
Rearrange -12*j**4 - 52*j + 27*j - j**2 + 39*j + 2*j**4 - 1 to the form d*j**2 + g*j**3 + w*j + h + s*j**4 and give w.
14
Express 23 - b**2 + 49*b + 9*b + 15*b**2 - 23 in the form v*b + d*b**2 + t and give t.
0
Rearrange -3*k + 4*k - 2*k + (6 - 3 - 4)*(-2*k - 2*k + 2*k) + 57*k - 65 + 65 + (-63 + 63 - 14*k)*(-3 - 3 + 7)*(0 + 0 + 2) to the form o + t*k and give t.
30
Express (z**3 - z**3 + z**3)*(-3133*z - 520*z + 1015*z) as h + g*z**2 + i*z**3 + a*z + m*z**4 and give a.
0
Express -591 + 1726*t**2 - 3453*t**2 + 1726*t**2 in the form c*t + m*t**2 + o and give o.
-591
Express 30 - 6217*j - 79 - 4444*j + 49 in the form g + z*j and give z.
-10661
Rearrange 71*p**2 - 267*p**2 + 71*p**2 + 10*p**3 + 0*p**3 + 2*p + 101*p**2 to h*p + z*p**3 + f*p**2 + q and give f.
-24
Express j**2 + 90*j**3 - j**4 + 2 + 101*j**3 + 21*j - 192*j**3 as l*j**4 + z*j**2 + b*j**3 + p*j + v and give l.
-1
Rearrange -32*i + 4*i + 6*i + 5*i + 24 + 13*i to the form t + v*i and give t.
24
Rearrange (-b**3 - 3*b**3 + 5*b**3)*(-3*b + 5*b + 0*b) - 2674120 - 210*b**4 + 508*b**4 + 2674129 to g*b**2 + x*b**4 + y + i*b + t*b**3 and give x.
300
Rearrange -1 + 48*f**3 - 14*f - 5 + 22*f - 179*f**3 - 9*f to the form g*f + w*f**2 + x + m*f**3 and give x.
-6
Express ((81 - 166 + 34)*(-2 - 1 + 1) + (-3 + 5 + 0)*(0 - 6 | {
"pile_set_name": "DM Mathematics"
} |
/(-2088)*114/8. Let o(i) be the first derivative of 41 + 0*i**2 - m*i**3 + 0*i. Calculate w(o(j)).
-76*j**2
Let q(c) = 26*c. Let a(u) be the second derivative of u**4/6 - 19*u**3/3 - 37*u - 3. What is q(a(t))?
52*t**2 - 988*t
Let q(i) be the first derivative of 3*i**5/40 - i**3/3 - 20*i**2 + 252. Let h(d) be the third derivative of q(d). Let k(g) = -2*g**2. Calculate k(h(t)).
-162*t**2
Let o(g) = -36124267*g. Let d(u) = -u. What is o(d(m))?
36124267*m
Let l(r) = 136*r + 128*r + 0 - 266*r + 0. Let w(b) = 1030*b**2. Calculate w(l(c)).
4120*c**2
Let k(o) = o**2 - 14. Let u(t) = -126444*t**2. Determine k(u(h)).
15988085136*h**4 - 14
Let h(q) = q. Let w(r) = 236*r - 5. Let a(t) = 4011*t - 84. Let j(i) = -5*a(i) + 84*w(i). Give j(h(y)).
-231*y
Let h(o) = -4*o - 45. Let a(n) = -36*n - 123. Let t(r) = 41*r + 164. Let d(w) = -4*a(w) - 3*t(w). Give d(h(j)).
-84*j - 945
Let h(f) = -8*f**2. Let s be (95/38)/(140/21). Let g(r) be the third derivative of -1 + 0*r**3 + s*r**4 - 30*r**2 + 0*r. Determine h(g(m)).
-648*m**2
Let b(t) = 18*t**2. Let j(y) = -1234352*y. Calculate j(b(n)).
-22218336*n**2
Let g(a) = -12874*a**2. Let d(x) = -9905*x**2 + 2 + 19796*x**2 - 2 - 9889*x**2. Give g(d(b)).
-51496*b**4
Let s(d) = -39*d**2. Let p(n) = 177*n + 182*n + 175*n - 21 + 7 - 538*n. What is p(s(k))?
156*k**2 - 14
Suppose 0 = 5*f - 2 - 23. Let l(m) = f*m**2 + 3 - 3. Let j(y) = -81*y - 8. Let g(x) = 40*x + 4. Let a(p) = -6*g(p) - 3*j(p). What is a(l(v))?
15*v**2
Let h(q) = -665*q. Let r(f) = 10950*f + 10948*f - 21893*f. Give r(h(g)).
-3325*g
Let f(r) = 2567073*r. Let a(s) = 67*s**2 - 1. Determine a(f(y)).
441520873751043*y**2 - 1
Let z(b) = -2*b**2. Let i(l) be the second derivative of 0 - 4*l**2 + 12*l + 2/3*l**3. Determine i(z(c)).
-8*c**2 - 8
Let l(d) = d. Let h(i) = 21*i**2 - 63*i. Let n(o) = -15*o. Let t(x) = h(x) - 5*n(x). Calculate l(t(b)).
21*b**2 + 12*b
Let p(r) = -9*r. Suppose 5*v - 49 = -39. Let o(w) = w - 10*w + v*w + 2*w. What is p(o(h))?
45*h
Let a(i) be the second derivative of i**7/1260 + 5*i**4/4 - 2*i - 17. Let t(c) be the third derivative of a(c). Let m(j) = 68*j**2. Give m(t(d)).
272*d**4
Let t(r) be the first derivative of -179*r**3/3 - r**2/2 - 954. Let x(o) = 2*o. Give t(x(j)).
-716*j**2 - 2*j
Let i(j) = 2*j**2 - 18*j - 66. Let b(x) = -5*x**2 + 51*x + 187. Let m(f) = 6*b(f) + 17*i(f). Let n(u) = 1204*u**2 - 2. Give m(n(c)).
5798464*c**4 - 19264*c**2 + 16
Let m(t) be the third derivative of 0*t + 0 - 14*t**2 + 5/6*t**3 + 1/6*t**4. Let x(c) = -c - 1. Let w(s) = m(s) + 5*x(s). Let j(f) = -8*f**2. Calculate w(j(o)).
8*o**2
Let g(r) = 36 - 19 + 5*r - 17. Let x(o) = -89*o + 16*o**2 + 89*o + 10*o**2. What is x(g(n))?
650*n**2
Let z = -65 + 92. Let i(x) = -x**3 + 2*x**2 + 5*x - 4. Let a be i(3). Let p(j) = -z*j**a - 47 + 47. Let b(o) = o**2. Give b(p(d)).
729*d**4
Let d(k) be the first derivative of k**2/2 + 4433. Let y(q) = 8*q**2 - 518*q. Determine y(d(w)).
8*w**2 - 518*w
Let g(r) = -4*r**2. Let k(u) = -14692*u - 22. Give k(g(s)).
58768*s**2 - 22
Let v(r) = -2*r**2 + 7*r. Let y(t) be the third derivative of -t**4/6 + 15*t**3/2 + 6056*t**2. What is y(v(s))?
8*s**2 - 28*s + 45
Let s(w) = -16*w + 118. Let f(o) = 17*o - 105. Let y(q) = -9*f(q) - 8*s(q). Let j(x) = -25*x**2. Give y(j(l)).
625*l**2 + 1
Let v(j) be the third derivative of j**6/360 - 7*j**5/40 - 23*j**4/12 + 82*j**2. Let q(r) be the second derivative of v(r). Let g(d) = -d. Calculate g(q(x)).
-2*x + 21
Let v = 10 - 11. Let q(k) = -k**3 + k**2. Let n be q(v). Let c(i) = 2 - 6*i**2 + 2*i**2 - n. Let r(b) = 2*b. Calculate c(r(o)).
-16*o**2
Let u(b) be the first derivative of -21 + 0*b + 11/2*b**2. Let n(a) = -a - 1. Let i(t) = -t**2 - t - 1. Let z(l) = 3*i(l) - 3*n(l). Determine u(z(x)).
-33*x**2
Let t(n) = -17*n + 56. Let c(i) = 19. Let w(z) = -6*c(z) + 2*t(z). Let f(h) = -3*h**2. Give w(f(d)).
102*d**2 - 2
Let a(b) = b**2 + 4*b - 52. Let v be a(0). Let h = 59 + v. Let k(p) = -52 + 52 - h*p**2. Let i(n) = -n**2. What is i(k(y))?
-49*y**4
Let f(n) = 11586494*n**2. Let m(l) = 7*l**2. What is m(f(u))?
939727902484252*u**4
Let a(f) = 658*f - 5. Let v(m) be the first derivative of -2*m**3/3 - 2309. Give v(a(j)).
-865928*j**2 + 13160*j - 50
Let p(d) = 13*d**2 + 3*d**2 + 7*d**2. Let c(o) = o**2 - 2*o + 4. Let x be c(-10). Let f(a) = -57*a + x*a - 68*a. What is p(f(q))?
23*q**2
Let m(y) = -352318315*y. Let d(c) = -c. What is m(d(o))?
352318315*o
Let g(o) be the third derivative of -161*o**4/24 + 1893*o**2 + 2*o. Let b(j) = -9*j**2. Calculate g(b(u)).
1449*u**2
Let w(a) = a**2. Let h(x) be the second derivative of -1007*x**4/12 + 397*x - 4. Give h(w(i)).
-1007*i**4
Let w(q) = 95658629*q + 2. Let z(d) = 3*d. What is z(w(s))?
286975887*s + 6
Let f(d) = -d**2. Let c(h) = 9101*h**2 - h + 35. Calculate c(f(i)).
9101*i**4 + i**2 + 35
Let l(b) be the first derivative of -305*b**3/3 + 54. Let h(s) = 3*s**2. What is h(l(t))?
279075*t**4
Let p(f) = f. Let x(i) = -181*i + 26480 - 26480. What is x(p(d))?
-181*d
Let f(t) = t**2 - 9. Let d(g) = -794143*g. Give f(d(i)).
630663104449*i**2 - 9
Let b(i) = 2*i + 24. Let t be b(0). Let v(f) = -16*f - 26*f + t*f. Let c(w) = -3*w**2. Calculate c(v(q)).
-972*q**2
Let m(w) = w**2. Let n(q) = -331543893*q. Calculate n(m(l)).
-331543893*l**2
Let t(y) = -17*y. Let o(l) = 6*l - 12*l - 1135 + 1135. Let d(j) = 3*o(j) - t(j). Let k(x) = 29*x - 2. Give d(k(w)).
-29*w + 2
Let d(p) = -410 - 581*p**2 + 197 + 213. Let w(n) = -3*n**2. Calculate d(w(r)).
-5229*r**4
Let c(d) = 568*d. Let r(b) = -9*b - 416. Determine r(c(z)).
-5112*z - 416
Let g(u) = -256*u**2. Let b(j) = -j**2 - 254526. Determine b(g(a)).
-65536*a**4 - 254526
Let z(b) = 2*b**2. Let u(d) = -2*d - 2*d - 22*d + 14*d + 69*d. What is u(z(v))?
114*v**2
Let f(g) = -g**2. Let o(y) be the second derivative of -y**3/2 - y**2/2 + y - 76. Let a(i) = 22*i**2 + 30*i + 10. Let r(w) = a(w) + 10*o(w). Calculate f(r(p)).
-484*p**4
Let h(n) = 37*n**2 + n. Let u(x) = 6419*x. What is u(h(d))?
237503*d**2 + 6419*d
Let d(p) = 88107963*p. Let c(m) = 2*m. Determine d(c(r)).
176215926*r
Let q(b) = 236*b - 173*b - 75*b. Let c(p) = 226*p**2. Give q(c(j)).
-2712*j**2
Let g(u) = -7168*u. Let r(f) = -2469*f. Calculate g(r(h)).
17697792*h
Let a(s) = 513*s. Let y(b) = 4980*b**2. Determine a(y(r)).
2554740*r**2
Let k(a) = -7725 + a + 7725. Let j(n) = 1472*n**2 + n - 728*n**2 - 686*n**2. Calculate j(k(r)).
58*r**2 + r
Let c be -1 + (-9 - 0)*-1. Let h(f) = -8 - 6*f**2 + c. Let b(n) be the third derivative of n**5/60 - 15660*n**2. Determine b(h(t)).
36*t**4
Let n(f) = -38606*f. Let a(t) = -103*t. Give n(a(o)).
3976418*o
Let k(a) = -370*a. Let o(c) = -41*c. Let n(m) = 4*k(m) - 37*o(m). Let f(i) = -964*i - 970*i + 1937*i. What is n(f(d))?
111*d
Let b(f) = -29*f**2. Let j(i) = -172828*i. Calculate j(b(w)).
5012012*w**2
Let q(g) = -3*g. Let i(b) be the first derivative of 8*b**3 + 8*b + 637. Give i(q(t)).
216*t**2 + 8
Let v(d) = d - 3. Let w(z) = 22*z**2 - 90*z - 11. Determine w(v(l)).
22*l**2 - 222*l + 457
Let b(d) be the first derivative of 2*d**3 + 2*d**2 - 3891. Let p(v) = 3*v - 3*v + 2*v. Give p(b(k)).
12*k**2 + 8*k
Let c(z) = 1226 - z**2 + 2*z**2 - 1353. Let m(r) = 8*r. Calculate m(c(j)).
8*j**2 - 1016
Let q(y) = 8*y**2 - 57152 - 57173 + 114325. Let r(m) = -1 - 22*m + 1. Give q(r(b)).
3872*b**2
Let t(i) = -68*i**2. Let s(o) = 3*o**2. Let g(v) = 85*s(v) + 4*t(v). Let a(m) = -7*m**2. What is a(g(b))?
-2023*b**4
Let w(g) = 113*g - 4. Let i(c) = -13*c**2 + 11392*c. What is w(i(t))?
-1469*t**2 + 1287296*t - 4
Let i(m) = -172*m + 109*m + 74*m. Let o(c) = 3*c**2 + 10. Give i(o(d)).
33*d**2 + 110
Let w(l) = 12*l**2. Let r(g) = -73*g - 24. Let d(t) = 401*t + 120. Let n(z) = 2*d(z) + 11*r(z). What is n(w(o))?
-12*o**2 - 24
Let p(f) = -10*f - 1. Let s(v) = -21*v + 5. Let u(h) = 12*h - 3. Suppose 11*y - 3 = 10*y. Let q(n) = y*s(n) + 5*u(n). Calculate p(q(l)).
30*l - 1
Let s(t) = 7*t. Let h(w) be the first derivative of -2*w**3/3 - 1043. Give h(s(o)).
-98*o**2
Let f(n) = -5. Let m(w) = -w + 3. Suppose 0 = 2*p - 4*i - 8, 0*i - 2*i = 10. Let g(b) = p*f(b) - 10*m(b). Let k(y) = 4*y**2. Determine k(g(z)).
400*z**2
Let q(n) = -9*n**2. Let m = -459 + 461. Let b(j) = -4*j**m + 100 - 100 - 4*j**2. What is b(q(d))?
-648*d**4
Let o(j) = 7*j + 10*j - 19*j + 2*j + 101*j**2. Let i(q) | {
"pile_set_name": "DM Mathematics"
} |
Suppose 5 = 5*c - 5, z - 5*c - 74 = q. Is 21 a factor of z?
True
Let r = 5189 + -1961. Is r a multiple of 20?
False
Suppose 1061*m - 60750 = 1031*m. Is 27 a factor of m?
True
Is (-88)/16*-526 - (-18)/9 a multiple of 108?
False
Suppose -18*r + 14*r + 6 = -w, 4*r = -3*w - 2. Let t(p) = -1 - p + 32*p**2 + 2*p + 4*p**2. Does 9 divide t(r)?
True
Let z(k) = k**2 + 6*k - k - 15 + 9*k + 56. Does 6 divide z(-15)?
False
Suppose -19015 = -12*h + 21509. Is h a multiple of 110?
False
Suppose -17*u + 4*u = -260. Suppose -25*y + u*y = -480. Does 32 divide y?
True
Suppose 12*h + 20 = 8*h, 0 = -i + h + 11. Suppose 2*y + 1300 = i*y. Is 13 a factor of y?
True
Is 52250/6*1926/1070 a multiple of 15?
True
Suppose -4*b = 4*t + 52, -35 = 3*b - 2*t - 6. Let y(h) = h**3 + 10*h**2 - 10*h + 15. Let j be y(b). Does 22 divide (-9)/(-18) - (-726)/j?
False
Let c(i) = 2483*i - 308. Is 17 a factor of c(2)?
True
Let c(t) be the second derivative of -3*t**3 - 8*t**2 - 9*t. Let y be c(-10). Suppose 0 = 4*u + 5*l - y, -4*l = u - 3*u + 56. Is 12 a factor of u?
True
Suppose 4*q + 3*d + 19 = 0, 2*q - 15*d - 8 = -13*d. Is (330/25)/(((-3)/105)/q) a multiple of 5?
False
Suppose -27*u + 24*u = 4*v - 1393, -2*u + 937 = v. Is 6 a factor of u?
False
Suppose 5*f - 139 + 1339 = 5*m, -5*f = -m + 232. Is m a multiple of 4?
False
Let b(k) = -79*k + 7. Let z be b(-2). Suppose 5*t - 2*o - 396 = 0, 5*o + z = 2*t + 2*o. Suppose 5*y - t + 43 = 0. Is y a multiple of 5?
False
Suppose -70501 = 16*i - 46*i + 10379. Is 19 a factor of i?
False
Suppose 276 = 4*u + 2*d, -3*u + 207 = -13*d + 16*d. Suppose p = s - u, -s - 7*p + 2*p = -87. Does 21 divide s?
False
Let z(g) = g + 11. Let l be z(-16). Does 37 divide 1*(116 + l + 3)?
False
Suppose -52*a + 77 + 79 = 0. Let o(i) = 4*i**2 + 5 - 4*i + 2*i**3 - 3*i + i. Does 9 divide o(a)?
False
Let r = 147 - 36. Let q = 143 - r. Is q a multiple of 8?
True
Let y(d) = 357*d**2 + 7*d + 1. Does 40 divide y(-4)?
False
Let c be 6 - 45/(-18) - (-2)/4. Suppose -2*k + 820 = 4*j, 25 = -c*j + 4*j. Does 70 divide k?
True
Suppose 5*r = 5, -5*r = 2*s - 2 - 13. Is -3 - (-70 - (-4 - -4 - s)) a multiple of 11?
False
Is (-1)/(2/6) - (47152/(-14) - 20) a multiple of 107?
False
Suppose v = -4, 6*p - 3*p + 4*v + 4 = 0. Suppose -5*c - t = -2099, -p*c - 1259 = -7*c - t. Is 45 a factor of c?
False
Let p = -5300 - -12860. Is p a multiple of 27?
True
Let q = 13927 - 11654. Does 5 divide q?
False
Let d(m) = -38*m - 8. Let x(n) = -1. Let w(k) = d(k) - 3*x(k). Is w(-1) a multiple of 14?
False
Let t(p) = 6853*p - 2747. Is 102 a factor of t(5)?
True
Does 5 divide 2302272/784 + (-3)/(-7)?
False
Let k(s) = 4*s**3 + 40*s**2 + 7*s + 6. Let l be k(-10). Is 10 a factor of (l/(-5))/(1 - (-99)/(-100))?
True
Let u = 65 - 65. Suppose u = -0*q - q. Let b(s) = 3*s + 279. Is 12 a factor of b(q)?
False
Let q(o) = -62*o + 62. Let a be q(1). Suppose a = -4*t - 5*c + 1143, -5*t - 5*c + 584 = -841. Is 3 a factor of t?
True
Suppose 5*i - 5*w - 7 = -37, 0 = -2*i - 4*w - 18. Let m(x) = 10*x**3 - x**2 - 2*x + 3. Let u be m(1). Is 30 a factor of i/((-21)/u)*18?
True
Let v be 0 + -1 + 22 - (-2 - -6). Suppose 69 = -16*z + v*z. Is z a multiple of 9?
False
Suppose -62130 = 1060*y - 1064*y + 2*l, -4*l = -2*y + 31086. Does 53 divide y?
True
Suppose 5*n + 8 = 3*a - 0*n, 0 = -3*n - 12. Let b(h) = 22*h**2 - 15*h - 43. Is 14 a factor of b(a)?
False
Suppose -l + 2083 - 622 = -3714. Does 75 divide l?
True
Let g(j) = 2*j**2 + 219*j + 14208. Does 16 divide g(0)?
True
Suppose 0 = -13*s + 3240 + 3468. Suppose 13*p + s = 14*p. Is p a multiple of 11?
False
Let q = 3600 + -1567. Is q a multiple of 19?
True
Suppose o - 334133 = 176*o - 1345283. Is o a multiple of 9?
True
Is 40 a factor of ((711765/6)/5)/(48/32)?
False
Is 62 a factor of ((-5804)/(-10))/(48/480)?
False
Let d = -1862 + 1996. Does 3 divide d?
False
Does 67 divide (6/12*14/(-21))/(1/(-24366))?
False
Suppose -3*k - 10 = 5. Let y(g) = g**3 + 5*g**2 + 8*g + 12. Let a be y(k). Let i = a + 168. Is 10 a factor of i?
True
Suppose -101*f + 100 = -81*f. Suppose f*k + 2330 = -5*l + 7130, 4*l = -3*k + 3843. Is l a multiple of 25?
False
Let w be (0 - 1) + 40/(-48)*-6. Suppose -2*a + 266 = -4*l, -665 = -4*a - a + w*l. Is a a multiple of 6?
False
Is 410*((-10)/2 - -8 - (-45)/(-18)) a multiple of 11?
False
Let l be ((-3)/(1 + -7))/((-1)/(-10)). Suppose 0*b = -l*p - b + 35, -3*p + b = -13. Is 224/(-40)*(1 - 21/p) a multiple of 2?
True
Let l(w) = w**3 - 8*w**2 + 8*w + 16. Let q(d) = 2*d**2 - 10*d - 4. Let m be q(6). Let u be l(m). Let a = u + -18. Does 5 divide a?
False
Let p = -4883 - -4974. Is 2 a factor of p?
False
Suppose 4*b + 14 = 5*q - 12, 2*b - 3*q + 14 = 0. Is 165/(1 + b)*(-54)/15 a multiple of 22?
True
Let f be 5/5*(-1 + 3 + 0). Suppose 5*x + c - 3144 = 0, 6*x - 2517 = f*x + c. Does 17 divide x?
True
Let v = -199 - -200. Is 6 a factor of (4 - 2) + v + (5 - 2)?
True
Is 13 a factor of (-6)/(-27) + (-1457718)/(-1026)?
False
Let z(f) be the second derivative of f**4/4 + 13*f**3/3 - 29*f**2/2 + 57*f. Is z(-15) a multiple of 2?
True
Let l = -51 + 149. Suppose 3*v = -15, z - 2*v = v + l. Does 25 divide z?
False
Let j = 12223 - 7823. Does 11 divide j?
True
Let w = -86 + 39. Let p be 179*(0 - -1) + -2 + -4. Let s = w + p. Does 21 divide s?
True
Let n = 120 + -117. Suppose -2058 = -4*w - 3*s, n*s = -s - 8. Does 55 divide w?
False
Let h = -135 - -40. Let g be ((-342)/h)/(592/295 + -2). Suppose 3*l - g = -129. Does 16 divide l?
False
Let v = -90 + 94. Suppose -5*o + 1388 = -v*u, -4*u = 5*o + u - 1370. Let y = -174 + o. Does 15 divide y?
False
Does 3 divide 2/(-6) - (-170004)/279?
True
Suppose 71550 = 526*p - 451*p. Is p a multiple of 6?
True
Suppose -5*p + 4*u + 969 + 2955 = 0, -2*p = -5*u - 1556. Is p a multiple of 27?
False
Does 21 divide 12576936/48*(-10)/(-95)?
False
Let a be (-9)/45 + 26/5. Suppose -4*n + a*n = 3. Suppose u = n*u - 108. Does 18 divide u?
True
Let r = 85804 + -57346. Does 27 divide r?
True
Let v(n) = -3*n - 15. Let a be v(-11). Suppose -a = -f - 15. Does 3 divide f?
True
Let q(i) be the first derivative of 2*i**3 + 10*i**2 + 96*i + 141. Does 30 divide q(-12)?
True
Let z = -419 + 703. Suppose 226 + 48 = -3*n - j, 3*n - j + z = 0. Let w = n - -168. Is w a multiple of 15?
True
Let s be (8/1)/((-2382)/(-396) - 6). Suppose s = -7*l + 9*l. Does 11 divide l?
True
Is ((-13 + 12)*-4267)/(1 - 0) a multiple of 40?
False
Suppose 0 = 29*k - 5*k - 18768. Suppose -15*i + 2473 = -k. Is 7 a factor of i?
True
Let s be 2/(-7) + (-4 - 60/(-14)). Suppose 0 = 4*i - 4*f - 1033 + 185, -5*i + 4*f + 1058 = s. Does 13 divide i?
False
Let a be (24/9 + -2)*3. Let f(l) = 15 - 3424*l + 25*l**2 - 8*l**2 + 3417*l. Is 36 a factor of f(a)?
False
Suppose 1973*z - 1988*z = -47580. Is 17 a factor of z?
False
Suppose t - 19865 = 2*s - 1397, -t - 5*s + 18510 = 0. Is t a multiple of 216?
False
Let t = 33706 + -5366. Is t a multiple of 20?
True
Let d(m) = -m**2. Let q(x) = -7*x**2 + 3*x - 29. Let j(r) = -3*d(r) - q(r). Does 90 divide j(-7)?
True
Suppose d - 5*w + w + 115 = 0, 0 = -d - 5*w - 124. Let t = -69 - d. Let r = 98 + t. Is r a multiple of 22?
False
Let n(i) = 4*i**3 + 8*i**2 - 11*i + 19. Suppose -4*m = 4*g - 40, 2 = 2*m - 5*g + 10. Is n(m) a multiple of 17?
True
Suppose 0 = 5*d - 29 - 16. Suppose 883 + 2267 = d*f. Is 12 a factor of f?
False
Let b(l) = -37*l - 1. Suppose 3*z + 11 = -4, g - 6 = z. Let t be (g - -1)/(-9 + 7). Is b(t) a multiple of 4?
True
Let y(r) be the second derivative of 47*r**4/6 + 3*r**3 - 15*r**2 - 44*r. Does 16 divide y(2)?
False
Let h = -158 + 160. Suppose -h*s - 2*w + 398 = -6*w, 3*s - 557 = -4*w. Is 17 a factor of s?
False
Let t = -204 - -1121. Let i = t + -742. Does 25 divide i?
True
Does 86 divide (122024/(-280))/((-1)/15) + 1/(-1)?
True
Suppose 0*m = 8*m - 136. Let i = m - -43. Suppose -i = -8*t + 2*t. Is t a multiple of 3?
False
Let h(g) be the second derivative of 2/3*g**3 + 0 - 8*g + 11*g**2. Does 15 divide h(17)?
True
Let i(q) = -1 - 257*q + 128*q + 132*q. Let t be i(1). Suppose 2*s - 2*y = 5*s - 37, y - t = 0. Is 11 a factor of s?
True
Let w(x) = 8*x**2 - 3*x**3 + 42*x**2 + x - 10 + 3*x**3 - 2*x**3. Let y(g) = 3*g - 32. Let p be y(19). Does 2 divide w(p)?
False
Let z = 1754 - -1166. Is z a multiple of 10?
True
Let c = 0 + 0. Suppose 65*k - 413 = -218. Suppose r - 29 = w, r | {
"pile_set_name": "DM Mathematics"
} |
f**2 to the form y + z*f**2 + q*f and give q.
-6
Express (81*f - f**2 + 1 - 81*f)*(4 - 1 - 4) - 149*f**2 + 4*f**2 - 202*f**2 in the form b*f**2 + m + t*f and give m.
-1
Express (m - 2*m + 3*m)*((-7 + 3 - 2)*(0 - 1 + 2) - 4 + 4 + 3 + (-2 + 1 - 4)*(-4 + 5 - 2)) as d + z*m and give z.
4
Rearrange 5044*g - 8969*g + 4502*g to l + k*g and give k.
577
Express 168*j**2 + 151*j**2 + 2*j**3 - 3 + 90*j - 313*j**2 as u*j + s*j**3 + y + k*j**2 and give s.
2
Rearrange -2823*h**2 - 2801*h**2 + 5667*h**2 - 10*h to the form s + v*h**2 + z*h and give v.
43
Express (-c**3 + 4*c**3 - 2*c**3)*(-511128 - 7471*c + 511128) in the form r*c**3 + d*c**2 + f*c**4 + m*c + n and give f.
-7471
Express 2*u + 0*u + 0*u + ((-3 - 3 + 5)*(-3 - 3 + 5) - 1 - 3 + 2)*(-u + 15*u - 77*u) + (-2*u + 2 - 2)*(-1 - 2 + 2) as m + d*u and give d.
67
Rearrange 215*r**2 + 30*r - 217*r**2 - 23 + 5 to w*r + y*r**2 + k and give w.
30
Rearrange (-3 - 2 + 3)*(3 + 3 - 5)*(1 + 3 + 1)*((0*g - g + 2*g)*(1 + 2 - 5) + 97*g - 49*g - 44*g) to m + a*g and give a.
-20
Express -2970*g + 1841*g + 2640*g + 7357*g as y*g + f and give y.
8868
Rearrange -26*g**4 + 13*g**4 + 5*g**4 + (0*g**2 - 1 + g**2 + 9)*(7*g**2 + 3*g - 3*g) to z*g**4 + i*g**3 + u + h*g + l*g**2 and give l.
56
Rearrange (45 + 30 + 7)*(84*m - 32*m + 78*m)*(5*m**3 - 5*m**3 + m**3) to y + v*m**2 + a*m**3 + b*m + u*m**4 and give u.
10660
Rearrange -666*a + 331*a + 0 + 9*a**3 + 335*a - 8 + 14*a**2 to the form w + m*a + t*a**3 + x*a**2 and give w.
-8
Express -2 + 4*c + 2*c**4 + 3436*c**3 - 7239*c**3 + 2*c**2 + 3377*c**3 in the form w + x*c**3 + f*c**4 + j*c**2 + m*c and give j.
2
Express (3*s - 75*s - s)*(-27*s**2 + 103*s**2 - 34*s**2) as x*s**3 + n*s**2 + g*s + r and give x.
-3066
Rearrange 276*p**2 - 910*p + 399*p + 511*p to w*p + s*p**2 + k and give s.
276
Rearrange 9*t - 10 + 10 + (-3 + 3 + 2)*(2*t + 2*t - 5*t) - 3*t + 0*t + t - 4*t + 3*t + 0*t + 380*t + 320*t - 492*t to the form q + z*t and give z.
212
Express (0 + 0 + p)*(-21 + 5 - 18 + (11 + 8 + 3)*(3 - 6 + 0)) as n + s*p and give s.
-100
Express 6*c + 4156*c**2 - 349*c**2 + 479*c**2 + 11*c - 18*c as h*c + w*c**2 + a and give h.
-1
Express 13034 - 905*v + 13040 - 26074 as g*v + j and give g.
-905
Rearrange 61*v + 3 - 76*v - 42 - 7 to x + m*v and give x.
-46
Express (-2*s**2 + 3*s**2 - 2*s**2)*(3 - 5 - 15) - 92*s + 92*s - 8*s**2 in the form u*s**2 + g*s + i and give u.
9
Express (g - 15*g + 11*g)*(-117*g + 18889 - 18889) as t + l*g + n*g**2 and give n.
351
Rearrange -132*m**2 - 17*m + 3*m - 5 + 8*m + 4*m + 222*m**2 to l + j*m + x*m**2 and give j.
-2
Rearrange 7929*y**2 - 2644*y**2 - 2639*y**2 - 2649*y**2 + 1831*y to the form o + v*y + d*y**2 and give d.
-3
Express 34*t - 442 + 38*t - 47 - 71*t in the form m + h*t and give m.
-489
Rearrange -4 + 3 + 55*y**3 + 2*y - 109*y**3 - 360*y**2 + 53*y**3 to q*y**2 + l + z*y**3 + u*y and give u.
2
Rearrange -72203*w**2 + 3*w**4 + 2*w**4 + 72205*w**2 + 12*w to the form m*w**2 + z*w**4 + b*w + k + f*w**3 and give z.
5
Express (3567 + 65*n - 3567)*((-3*n**2 + 2*n**2 - n**2)*(-4*n - 3*n - 2*n) + 2*n**2 - 2*n**2 + n**3) as d*n + h + k*n**2 + g*n**4 + w*n**3 and give g.
1235
Express (-h + 6*h - 9*h + (-1 - 1 + 0)*(9 + 11*h - 9))*(-1 - 3 + 7)*(0 + 3 - 1)*(1 - 1 + 2)*(-4 + 0 + 2) in the form w*h + t and give w.
624
Rearrange (7 - 3 - 1)*(-2*x + 2*x - 2*x) + (-2 + 5*x + 2)*(3 + 5 - 3) + x + 6*x + 0*x to the form q + o*x and give o.
26
Rearrange 142*r**3 + 2*r**4 + 1 - 19*r**4 + 6*r**4 - 61*r**3 + 13*r**4 to b + y*r**2 + a*r + f*r**4 + x*r**3 and give f.
2
Rearrange 4*f - 14183*f**2 + 8177*f**2 + 2195*f**2 - 4*f to the form l + i*f**2 + a*f and give i.
-3811
Express -1139*n - 10058*n - 18745*n + 194*n in the form f*n + i and give f.
-29748
Rearrange (-3 + 7 + 1)*(1 - 4 + 0)*(1 - 1 - 2)*(967 - 967 - 188*v) to the form i + g*v and give g.
-5640
Express (0 + b + 0)*(-21 + 45 - 32) + b - 7*b + 0*b - 5*b + 4*b - 7*b in the form l + n*b and give l.
0
Express 25 + 2*r**3 + 50*r**2 + r**2 - 58*r**2 as i*r**3 + x*r**2 + v + q*r and give x.
-7
Rearrange (6 + 8*o - 6)*(1 + 0 + 1)*(7*o + o - 4*o)*(-5*o + 4*o + 2*o)*(-3 + 1 - 6) to the form t*o + h*o**3 + q*o**2 + n and give h.
-512
Express (0 - 3 + 7)*(5*w**3 + 4*w**3 + 2*w**3) + (10*w + 39 - 39)*(2*w + 3*w + 0*w)*(w - 5*w + 2*w) in the form a*w**2 + r*w**3 + f*w + x and give r.
-56
Express 0*u**4 - 2*u**4 - 3*u**2 - 34*u**3 - 7*u - 29*u**3 + 69*u**3 in the form m*u**4 + v + r*u + j*u**2 + a*u**3 and give m.
-2
Express -13852*x + 47257*x - 21988*x - 19338*x in the form g + m*x and give m.
-7921
Express (-272*l + 364 - 364)*(l - 5 + 5 + (-l + 2 - 2)*(-5 + 0 + 4) + l - l + 2*l) in the form f + t*l**2 + k*l and give t.
-1088
Express -29261 + 14627 + 1329*t + 14634 as v*t + g and give v.
1329
Rearrange -4681*o**2 - 137 - 42 + o + 179 + (o**2 + 2*o**2 + 0*o**2)*(2 + 2 + 0) to i*o + s*o**2 + n and give i.
1
Express ((-4 + 2 + 3)*(-6*i + 2*i + 3*i) + 4*i + i - 3*i + 4*i - i + 6*i)*(-115 + 30 - 46) as u*i + z and give u.
-1310
Express (0*q - 5*q + 0*q)*(1912 - 1135 - q**2 - 1340) as y*q**2 + b*q**3 + x*q + z and give x.
2815
Rearrange -2*x**3 - 4983*x**2 + 1596*x**2 + 1289*x**2 + 876*x**2 + 5*x**3 to the form s*x + z*x**2 + c*x**3 + f and give z.
-1222
Express -7*z**2 - 308*z + 2*z**2 - 305*z + 9*z**2 - 9*z**2 in the form p + x*z + q*z**2 and give x.
-613
Express 46*c**3 - 54*c**3 + c - 127*c**3 - c**2 - c - 6 as b*c + k + q*c**2 + o*c**3 and give k.
-6
Rearrange 2784*g - 7 + 11 - 4 to the form i + l*g and give l.
2784
Rearrange 3246899*b - 25 + 71*b**2 - 246*b**2 + 9 - 3246898*b to r*b + c*b**2 + d and give c.
-175
Express -24*r**3 + 1 + r - 33*r**3 + 54*r**3 + 3*r**2 as f*r**3 + b*r + v*r**2 + o and give b.
1
Rearrange -370 - 5*g**3 - g**2 + g**2 + 371 + 3*g**2 - 14*g + 0*g**3 to q + s*g**3 + t*g + j*g**2 and give s.
-5
Express (m + m - m)*(-4*m**2 - 6*m**2 + 9*m**2) + 2*m**2 + 2*m**3 + 20 - 22 + 3*m**2 in the form a*m + v*m**2 + f*m**3 + y and give a.
0
Rearrange 1404*r**2 + 2 - 2689*r**2 + 0*r + 1441*r**2 + 0 - 2*r to the form y + w*r**2 + h*r and give h.
-2
Express -10450*a**2 - 4356*a**2 - 13 + 7 + 6 in the form l + d*a**2 + o*a and give d.
-14806
Rearrange -134*t**2 + 1930*t - 142*t**2 + 277*t**2 + 3038*t to the form o*t + m*t**2 + z and give o.
4968
Express -540*f + 1817*f + 422*f in the form i*f + m and give i.
1699
Express 2372*y + 1663*y - 6657*y as d*y + h and give d.
-2622
Express -2*w**2 - 829*w**3 + 125*w**3 + 2*w**4 - w - w + 259*w**3 - 1 in the form c*w**4 + u*w**3 + d*w**2 + m + p*w and give c.
2
Rearrange 317 - 631 + 538*f**3 + 316 to the form n*f + y*f**2 + b + p*f**3 and give b.
2
Rearrange (1 - 2 - 3)*(-8434*h + 16868*h - 763 - 8439*h) to w + l*h and give l.
20
Express (1176*i**3 - 364335*i + 364335*i)*(0 + 5*i - 2 + 3) as m*i**4 + n*i + t*i**3 + s*i**2 + f and give m.
5880
Rearrange (-z**2 - 19*z**2 + 2 + 69*z**2)*(4 - 2 + 6)*(-9 + 2 + 1) + 23*z - 23*z + 9*z**2 to the form d*z + n + s*z**2 and give d.
0
Rearrange -156 - 33*y + 156 - 4*y + 2*y - y + (y + 3*y - 3*y)*(-3 - 2 + 3) + 8*y - 4*y + 12*y to l*y + w and give l.
-22
Rearrange -4*p + 126 - 4*p - 7*p + 4*p - 3*p to the form d + q*p and give d.
126
Rearrange (-87 - 24 - 224 - 98 - 49)*((0 + 6 + 4)*(i + 2*i - 4*i) + 2*i + 2*i - 7*i) to n + k*i and give k.
6266
Rearrange (-1 + 1 + 1)*(3 + 1 - 3)*(-69*x**3 - 308*x + 308*x) + 7*x**3 + 3*x**3 + 2*x**3 to the form i*x**3 + k*x + a + d*x**2 and give i.
-57
Express -2*o + 1 - 2*o**4 + 1 - 10831389*o**2 - 9*o**3 + 10831412*o**2 in the form y + i*o**2 + p*o**4 + m*o + n*o**3 and give i.
23
Rearrange 52*l**3 + 2*l**4 + 55*l**3 - 152*l**3 + 2 + 58*l**3 - 3*l + l**2 to w + h*l**2 + k*l**4 + c*l + u*l**3 and give w.
2
Rearrange (-1 + 0 - 1)*(25874*g**4 + 3429 - 3429) to the form t*g + j*g**2 + b*g**4 + y*g**3 + a and give b.
-51748
Express (18*u**2 - 16*u + 16*u)*(-1 + 3 - u + 3*u) + (-4*u + 0 + 0)*(-38*u**2 + 27*u**2 - 15*u**2) in the form k*u + w*u**3 + h*u**2 + p and give h.
36
Express (0 - b + 0)*(332081*b + 940*b**2 - 332081*b) in the form n*b**2 + g*b**3 + c + x*b and give g.
-940
Express -5*o**2 - 105*o**3 + 302*o**3 - 2*o + 534442 - 534441 + 4*o as v + k*o**3 + g*o**2 + w*o and give g.
-5
Rearrange 28*s**2 - 30*s**2 - 88*s + 27*s + 28*s + 34*s + 699 to the form l*s + y + n*s**2 and give l.
1
Express 257 - 536 + | {
"pile_set_name": "DM Mathematics"
} |
1). Let x = p - -4. Let q be 6*(x/4)/1. Sort q, -5, 0 in increasing order.
-5, 0, q
Suppose -4*o - 17 = -1. Suppose 5*x + 12 = 3*l, 5*l + 4*x - 9*x - 20 = 0. Sort o, -1/2, l in descending order.
l, -1/2, o
Let l = 0.9 - -0.1. Let k = -164 + 159. Sort k, l, -2 in increasing order.
k, -2, l
Let j = 40 - 35. Sort 4, 0.3, j in decreasing order.
j, 4, 0.3
Suppose -5*b = -3*b - 6. Suppose 0 = -l - b*l + 16. Suppose 2*q + 3*q + n - 26 = 0, -3*n + 13 = 2*q. Sort -2, q, l.
-2, l, q
Let m(g) = -2*g - 26. Let o be m(-14). Sort o, 1, -1 in ascending order.
-1, 1, o
Let r be (-2)/(-5) + (-7)/(-70). Put r, -0.4, -2 in decreasing order.
r, -0.4, -2
Let o = -37 + 36. Suppose 5*p + 17 = 4*x - 10, -3*p - 15 = -2*x. Sort p, o, 5 in ascending order.
p, o, 5
Suppose -16 = -3*f + 5. Suppose -f*k + 2*k = -10. Put -5, k, 0 in decreasing order.
k, 0, -5
Let j = -1.01 + 0.01. Put j, -5, 1/2 in decreasing order.
1/2, j, -5
Let g = -8/31 + 118/217. Sort 2/9, 2, g in decreasing order.
2, g, 2/9
Let p = -1.7 - -1.68. Let z = 0.08 - p. Sort z, 0, -2/15 in decreasing order.
z, 0, -2/15
Let k(s) = s**3 - 4*s**2 - 4*s - 4. Let t be k(5). Let a be 0/(-1*3 - -1). Put 3, t, a in increasing order.
a, t, 3
Let b = -0.84 + 0.7. Let f = b - -0.04. Let u = -104 - -727/7. Sort 2/3, u, f in ascending order.
u, f, 2/3
Let z = 23 + -30. Sort z, -2/3, 0, -1 in decreasing order.
0, -2/3, -1, z
Suppose -2*b + 4 = 0, 4*b - 56 = -2*m - m. Let g = m - 97/6. Sort g, 1/2, 0.4 in descending order.
1/2, 0.4, g
Let y = 0 + 0.5. Let s = -493/4 + 124. Sort -5, y, s.
-5, y, s
Let p = -14 - -14.5. Put 9, p, -2 in increasing order.
-2, p, 9
Suppose w = -2 - 0. Let x be 1/3 + (-14)/(-3). Sort x, w, -8.
-8, w, x
Let d(o) = -o**2 + 9*o - 12. Let u be d(8). Put 1/8, 0.02, u in ascending order.
u, 0.02, 1/8
Let b(s) = -3*s**2 + s - 1. Let n be b(7). Let j = n + 1267/9. Put 4, 1, j in decreasing order.
4, 1, j
Let p be 3/(-18)*1*5. Let r = -3 + 2. Let a = -0.5 - r. Sort -1, p, a in ascending order.
-1, p, a
Let r = 3 - 3.2. Let p = -4 + 4. Let y = p + 1. Sort y, r, 0.
r, 0, y
Let t = 8.06 - 8. Let v = t + -5.06. Sort -3/4, 1, v in decreasing order.
1, -3/4, v
Let d = 25 + -25. Let w = -4 - -2. Sort 4, d, w in ascending order.
w, d, 4
Let j = -10 - -6. Suppose 3 = 5*z - 12, 0 = h - z + 4. Put j, h, -3 in descending order.
h, -3, j
Let q = 50 + -49.08. Let p = 0.12 - q. Sort p, -1, -4.
-4, -1, p
Let b be (0/2)/(1*1/(-1)). Let x = -2 - 2. Sort b, 2, x in descending order.
2, b, x
Suppose -5*v - f + 6 = 0, 3*v - 22 = -2*v + 3*f. Sort v, 0.2, 2/9 in decreasing order.
v, 2/9, 0.2
Let c be 5*(2 - 1) - 1. Let l be (-2)/(1*c/2). Put 0.1, l, 1 in increasing order.
l, 0.1, 1
Let p = 2 + -3. Let y = 1 + p. Suppose 8*a - 41 + 9 = 0. Put y, 5, a in descending order.
5, a, y
Let n = 29/19 - 1/38. Sort 2/11, 1/2, n.
2/11, 1/2, n
Suppose -4*b = -3*i - 34, 68 = -5*i - 0*b + b. Let p be (2 - (-72)/i) + 3. Sort p, 4, 0 in ascending order.
p, 0, 4
Let y be 2 - 3 - (7 + -10). Sort 4, 5, y in increasing order.
y, 4, 5
Let k be (-1)/(-2)*-2 - -1. Suppose 2*o + 2*p = -7 - 3, -2*o - 4 = -p. Sort 1, k, o in ascending order.
o, k, 1
Let r = 0 - -0.5. Let p = 5/46 - 177/782. Let i = 179/6 - 30. Sort p, r, i in ascending order.
i, p, r
Let a(r) = r**2 - 5*r + 1. Let i be a(3). Put i, 0.5, -4 in descending order.
0.5, -4, i
Let b = 17 + -14. Suppose 0 = s - 4*s - b. Sort 1/4, s, -2 in ascending order.
-2, s, 1/4
Let k(u) = -u**3 - 7*u**2 - 8*u - 9. Let f be k(-6). Let b be 12/(-16)*1/(-3). Sort -3, f, b in ascending order.
-3, b, f
Let y = -90 - -88.7. Put y, -1/2, -0.2 in descending order.
-0.2, -1/2, y
Suppose 0 = -8*g + 35 - 27. Put 25, g, 3, 5 in decreasing order.
25, 5, 3, g
Let j = -2132/15 + 142. Let p be ((-16)/10)/(2/(-5)). Suppose 2*s - 5*f = 14, f = -s + 2*s - p. Put j, s, 1/3 in ascending order.
j, 1/3, s
Suppose 1 = i - 0. Suppose 0 = 2*s + i - 7. Let g = 11 - 7. Sort 2/9, g, s.
2/9, s, g
Let j be (-1)/(-2) + 5/(-2). Let o be 24/14 + (-4)/(-14). Sort 4, o, j in decreasing order.
4, o, j
Suppose 2 = p, -5*g - 4*p = p + 175. Put g, 0, -4 in ascending order.
g, -4, 0
Let h = 1 - -1. Let c be 284/(-700) - (-4)/14. Let a = c + 37/100. Sort a, -0.03, h in decreasing order.
h, a, -0.03
Let w = -78 - -80. Put 2/3, 3, w, -4 in decreasing order.
3, w, 2/3, -4
Let c = 0.5 + 0. Let a = 0.6 - c. Let p = -0.5 + 0. Put a, p, -5 in increasing order.
-5, p, a
Suppose 3*k - 2*i = 14, -k = 4*k - i - 21. Suppose -2*f - 6 = -4*t, k*f + 4*t - 7 = 5*f. Sort -3, 2, f.
-3, f, 2
Let k = 23 + -28. Let b(g) = 2*g - 5. Let i(v) = v - 6. Let d(f) = 3*b(f) - 4*i(f). Let c be d(-6). Sort k, -4, c in increasing order.
k, -4, c
Let h = 24.97 - 25. Suppose 5*i + 20 = i. Put i, h, -1 in decreasing order.
h, -1, i
Suppose 0 = 4*b - 5*u, -b + 0*u = 4*u - 21. Suppose -b*l + 3*l = -2. Put 4, l, -4 in decreasing order.
4, l, -4
Let d(y) = y**2 + 8*y - 3. Let p be d(-9). Let s = p + -5. Put s, 4, 3 in descending order.
4, 3, s
Let m(i) = -i**2 + 7*i - 2. Let x be m(6). Sort 1, 0, x in ascending order.
0, 1, x
Let d = 0.22 - 0.22. Put -5, 1, 3, d in decreasing order.
3, 1, d, -5
Let w = 3 - 19/6. Sort -1/3, -24, w, 0.1 in increasing order.
-24, -1/3, w, 0.1
Suppose -6*t + 10 = -t. Suppose 3*f = -t - 4. Sort -5, f, 5.
-5, f, 5
Let h = -13 - -22. Let p = 9.4 - h. Put -0.4, -4/7, p in ascending order.
-4/7, -0.4, p
Suppose 0 = -r - 2*b + 7, -b - 4*b + 25 = 4*r. Let k = 672 + -675. Sort k, -4, r in descending order.
r, k, -4
Let u(j) = j**2 + 6*j + 7. Let i be u(-5). Suppose 0 = i*x + x. Let y be (-12)/(-44)*3 - (-6)/33. Sort 2, y, x in ascending order.
x, y, 2
Let j be -4 + (-4 - -4) - (-1 - 4). Put 3, -4, j, -1 in decreasing order.
3, j, -1, -4
Let g be 18/(-45)*1*-5. Let f be ((-6)/12)/((-1)/g). Suppose 2*p + f = 3*p. Put -2, p, -5 in decreasing order.
p, -2, -5
Let w be 43/9 + 8/36. Suppose 2*p = 3*x - 3*p + 17, -5*p + 15 = -5*x. Let i be (2 - (-3 + 1))/x. Put i, w, 2 in increasing order.
2, i, w
Let a be (1521/798)/(2/(-16)). Let l = 106/7 + a. Let k = -1/4 - 5/12. Put k, 0.3, l in descending order.
0.3, l, k
Let s be 11/(-4) - 51/(-17). Sort 0.01, s, 0.2 in decreasing order.
s, 0.2, 0.01
Let k be (4/(-12))/(7/6). Let s = -6.01 - -0.01. Let g = 5 + s. Put k, 5, g in decreasing order.
5, k, g
Let a be (-32)/(-30) + 10/(-25). Suppose 4*c - 2*c - 8 = 0. Suppose -c*l = -2*l. Sort a, -1/2, l in increasing order.
-1/2, l, a
Suppose o - 10 = b, 9*o - 4*o + 4*b = 59. Put 4, o, 3 in increasing order.
3, 4, o
Let y = 1 + 1. Let p = 193 - 189. Let z = -8 - -5. Put y, p, z in decreasing order.
p, y, z
Suppose -2*w + w = -4*c + 13, -4*c - 3*w + 9 = 0. Let k be ((-2)/(-3))/((-14)/6). Let r = -0.2 - 0.3. Put k, r, c in ascending order.
r, k, c
Let u be (-2)/(-10) + (-3)/15. Put u, 5, 8 in descending order.
8, 5, u
Suppose 0 = -h - 8 + 12. Let u be (h - 3)/((-10)/4). Put 0.2, -2/3, u in ascending order.
-2/3, u, 0.2
Let t = -405/4 + 101. Sort -2/9, -8, t in decreasing order.
-2/9, t, -8
Let r(u) = u**3 - 4*u**2 + 4*u - 1. Suppose 4*p - 2 = 2*p. Let q be p + (-3)/(-1) - 1. Let j be r(q). Put -2, j, 0 in decreasing order.
j, 0, -2
Suppose -2 = -2*q - 3*g, g + 14 = 2*q - 2*g. Sort -3, q, 2/7.
-3, 2/7, q
Let c = 0.4 + -0.3. Sort c, 5/2, -2/7 in descending order.
5/2, c, -2/7
Let n(h) = h**2 + h - 1. Let v be n(1). Suppose 0 = a + 7 - 3. Let y(b) = 2*b + 5. Let p be y(a). Sort 0, v, p.
p, 0, v
Let a(r) = -5*r. Let m be a(1). Let v(u) = u**3 - 8*u**2 + 8*u - 5. Let c be v(7). Put c, m, -1 in ascending order.
m, -1, c
Let q(m) = m**3 + 7*m**2 - 10*m + 1. Let i be q(-8). Let c = -16 + i. Sort c, 6, 3 in descending order.
6, 3, c
Let z = 0.18 + -0.05. Let m = 0.37 + z. Sort m, -2, -9.
-9, -2, m
Suppose u + 11 = 2*k, 0 = 3*u - 0*k + 2*k + 1. Let j = 8 - 10. Put -6, j, u in ascending order.
-6, u, j
Let b = -6 + 2. Suppose 5*o + 3*h = -28, -6*o + 3*o - 10 = -5*h. Let y = o + 2. Sort y, 2, b in ascending order.
b, y, 2
Let v(n) = -5*n**3 - n**2 - n - 1. Let x be v(-1). Suppose 5*r + 15 = -0*r. Sort 0, x, r in increasing order.
r, 0, x
Let w = 21.7 + -22. Sort -0.07, 0.2, w in ascending order.
w, -0.07, 0.2
Let m = 1.3 + -1. Let a = -25 - -29. Sort a, -2, m in descending order.
a, m, -2
Suppose 3*q = -f + 5 + 9, 0 = 5*q + 4*f - 28. Let l = 2 + 0. Sort -2, q, l in ascending order.
-2, l, q
Sup | {
"pile_set_name": "DM Mathematics"
} |
ich is the smallest value? (a) 7/8 (b) -5 (c) 1 (d) -3 (e) 2
b
What is the third smallest value in 0.1, -0.2, 1, 19?
1
What is the third biggest value in 0.5, 0.17, 0?
0
Which is the third biggest value? (a) -1/10 (b) -3/37 (c) 4
a
What is the third biggest value in 9.5, 0, -3, -2/7?
-2/7
Which is the third smallest value? (a) 0.07 (b) 17 (c) 5
b
What is the third biggest value in -9, -1, 1.5?
-9
Which is the smallest value? (a) 1 (b) 5 (c) -4
c
What is the third smallest value in -6, -3, 2/9?
2/9
Which is the third smallest value? (a) 27138 (b) 0.3 (c) -3/7
a
What is the fifth smallest value in 10, 14, -1/6, 0, -1/7?
14
Which is the third biggest value? (a) -0.4 (b) 1/2 (c) 2/3
a
What is the second biggest value in -34, -17, -1?
-17
Which is the third biggest value? (a) 5 (b) -12 (c) -1/2 (d) 0.2
c
What is the fourth biggest value in -77, 1, -5, 1/4, 4?
-5
What is the fifth biggest value in -2/3, 1/5, -0.2, 4, -25?
-25
Which is the third smallest value? (a) 47 (b) 1/4 (c) -0.3
a
Which is the third biggest value? (a) 0 (b) 2/245 (c) 4/7
a
Which is the smallest value? (a) 138 (b) -4 (c) 1 (d) -3
b
Which is the third biggest value? (a) -2 (b) 1/2 (c) 37 (d) -2/3
d
Which is the smallest value? (a) -59 (b) 2/19 (c) -3/2 (d) -0.11
a
Which is the second smallest value? (a) 0.1 (b) 3 (c) -3/10
a
Which is the second smallest value? (a) -1/8 (b) -4.2 (c) 0.03 (d) -0.4
d
Which is the second biggest value? (a) 0 (b) -3/14 (c) 4/7
a
Which is the second biggest value? (a) 3/2 (b) 0.05 (c) -0.7 (d) 3/8 (e) 0.5
e
Which is the third smallest value? (a) -0.3 (b) -2 (c) 3/65
c
Which is the smallest value? (a) -2/109 (b) -48 (c) -5
b
What is the second smallest value in -2/5, 5, -25, -1/7, 0.3?
-2/5
What is the second smallest value in -4, 4, 2.56, -1?
-1
Which is the smallest value? (a) -1 (b) -3 (c) -5
c
Which is the third biggest value? (a) -1/3 (b) -49 (c) -4
b
Which is the fourth smallest value? (a) 0.1 (b) -7/3 (c) 3/2 (d) 5
d
What is the third smallest value in 13/5, 5, 34?
34
What is the second smallest value in -3, 2, -114, 4?
-3
Which is the smallest value? (a) -0.1 (b) -4 (c) -1/2 (d) 75
b
What is the second biggest value in 1, 0.1, 133, 1/8, 0?
1
What is the third biggest value in 71, 1/6, -3?
-3
Which is the smallest value? (a) 4 (b) 929 (c) 2 (d) 3
c
Which is the third smallest value? (a) -5 (b) -3 (c) -2.8 (d) -1/4
c
What is the third biggest value in 0.5, -1/7, 4, 6?
0.5
What is the fourth biggest value in 1/6, 1/7, -5, -0.9?
-5
What is the second smallest value in -2, 2/3, -11/7, 5?
-11/7
What is the smallest value in 0.09, 5, 4, 13, -1/5?
-1/5
What is the third biggest value in 1/9, 3, 0.08, 0.3?
1/9
Which is the third biggest value? (a) 2/11 (b) -4 (c) 2 (d) 74
a
Which is the smallest value? (a) -35/3 (b) -0.2 (c) 0 (d) -4/5
a
What is the fifth biggest value in -22, -4/3, -2/13, -2/11, 0.061?
-22
What is the second biggest value in 0.2, 1, -0.4, -7.66, -0.1?
0.2
Which is the second smallest value? (a) -2/23 (b) -19 (c) 0.1
a
Which is the third smallest value? (a) 2/3 (b) 0.1 (c) 3/8 (d) 10
a
Which is the biggest value? (a) 3 (b) -3 (c) -0.4 (d) 2/9
a
Which is the fifth smallest value? (a) 4 (b) 5/7 (c) 3 (d) 18 (e) -4/9
d
Which is the third biggest value? (a) -4 (b) -3.615 (c) -0.2
a
Which is the fourth biggest value? (a) -0.3 (b) 3/2 (c) -1/9 (d) -0.4
d
What is the biggest value in 0.3, 0, 2/9, -1?
0.3
Which is the second biggest value? (a) -50 (b) 0 (c) -1 (d) 0.1 (e) 1/3
d
Which is the second smallest value? (a) -0.4 (b) -0.2 (c) 0.5 (d) 0.02 (e) 5
b
What is the biggest value in 1, 5, 10/13?
5
What is the biggest value in 0.3, 1/3, 0.2, 350?
350
Which is the second biggest value? (a) 15 (b) -0.4 (c) -2/9 (d) -3/16
d
What is the fourth biggest value in 1, 5/18, 0, 0.4?
0
What is the second smallest value in 2, -2/211, -0.11, 3?
-2/211
What is the biggest value in 7, -8, 3?
7
Which is the smallest value? (a) 0.05 (b) 7 (c) 0 (d) -0.5
d
What is the third biggest value in 8, 2, 0.9, -3, 3/5?
0.9
Which is the second biggest value? (a) -0.1 (b) -2.18 (c) -3 (d) 0.2
a
What is the fourth smallest value in -21, -11, 3/7, -2/5?
3/7
What is the third smallest value in -0.8, -1, 0.2, 0?
0
Which is the third smallest value? (a) -89 (b) -2/29 (c) 2 (d) -3/7
b
What is the fourth biggest value in -2/19, -27, 2/7, 1, -0.06?
-2/19
What is the third smallest value in 160, -0.08, 0, -0.5?
0
What is the third smallest value in -3/7, 2/19, 65, 3, 1?
1
What is the second biggest value in -0.2, 69, 0.14?
0.14
Which is the second smallest value? (a) 0.5 (b) 0.1 (c) -638/7
b
Which is the biggest value? (a) -23 (b) 0.4 (c) 0.5 (d) -2/17
c
What is the third smallest value in 2/9, 0, 60?
60
Which is the fourth smallest value? (a) -2 (b) 0 (c) 5 (d) 3/8
c
What is the third biggest value in 30, 4/5, 4, 1/2?
4/5
What is the second biggest value in -4, 4, -873?
-4
Which is the biggest value? (a) 1/2 (b) -614/7 (c) 3 (d) 0.4 (e) 2/9
c
What is the fourth biggest value in -7/3, -6, -0.5, 7?
-6
What is the third biggest value in 0.1, 283, -1/3?
-1/3
Which is the third biggest value? (a) -3/4 (b) 4/7 (c) 6/5 (d) 1/5
d
What is the smallest value in -0.3, 7, -6, 7/5?
-6
What is the smallest value in 1/6, 120, 0.02?
0.02
What is the smallest value in 4/7, -16, -10/23?
-16
What is the third smallest value in -0.1, 4/3, 6.76?
6.76
What is the smallest value in -6, 58, -1/2?
-6
Which is the smallest value? (a) -1/7 (b) 3/4 (c) 2
a
What is the second biggest value in 0.03, 5, -5?
0.03
What is the smallest value in 0.01, 0.4, -1/5, 4, -9?
-9
What is the biggest value in 0.08, -5, -3.8?
0.08
What is the third biggest value in -38, 1/4, 3/4, -7?
-7
What is the fifth biggest value in -0.01, -1/2, -3, 0, -4?
-4
What is the smallest value in 2, -2, 0, 1, -134?
-134
What is the third smallest value in -0.4, 0, -4155?
0
Which is the second smallest value? (a) 2/5 (b) 5 (c) -67
a
What is the second smallest value in -5, -3, 0.2, -101/4?
-5
Which is the third smallest value? (a) 0.15 (b) 3 (c) -1
b
What is the fourth biggest value in 3, 0.2, 4, 2?
0.2
What is the third biggest value in 5, -0.23, 95, -1?
-0.23
Which is the third smallest value? (a) -0.1 (b) -0.4 (c) 405.4
c
What is the third biggest value in 12, -3, 5, -56?
-3
What is the second biggest value in -2, 2/19, -5, 0.2, 3?
0.2
What is the second smallest value in -5, -2/9, 0.3, 2?
-2/9
What is the biggest value in -0.5, 2, 5/6, 3/7?
2
What is the third biggest value in 0.1, -5, 13/215?
-5
What is the fourth smallest value in 5, -5, 53, 0.5?
53
What is the biggest value in 8, -2/9, -0.3, -3?
8
What is the smallest value in -4, 2, 175?
-4
Which is the third smallest value? (a) 136 (b) -2/9 (c) -0.1
a
Which is the second biggest value? (a) -2 (b) -1 (c) 0.01
b
Which is the fifth smallest value? (a) 0.4 (b) -0.1 (c) -2/9 (d) -4 (e) -15
a
What is the fourth smallest value in 7, -3, -37, -2/3?
7
What is the third smallest value in 4/7, 1, -2/3, -1/3?
4/7
Which is the third smallest value? (a) -46/7 (b) -0.8 (c) 5 (d) -4
b
What is the third smallest value in 4, -20, -2/5?
4
Which is the second biggest value? (a) -0.7 (b) 0.14 (c) -1/2
c
Which is the smallest value? (a) -1/5 (b) 0 (c) 2.4
a
What is the smallest value in -4, 5, -2, 2.92?
-4
What is the third biggest value in -3/5, 644, -2/7, 2/11?
-2/7
Which is the smallest value? (a) -1/2 (b) -82 (c) 4 (d) 3
b
Which is the third smallest value? (a) 14 (b) -2 (c) -34
a
What is the smallest value in 0.1, -5/3, -0.4, 1/7?
-5/3
What is the second biggest value in -1/2, 8, 3/8, -2/19?
3/8
What is the fifth smallest value in -1/4, 3, 0.01, 0, -1?
3
Which is the second smallest value? (a) -0.06 (b) -0.4 (c) 4 (d) -0.1
d
What is the biggest value in -2, 3/7, 5?
5
Which is the second biggest value? (a) 19 (b) 5 (c) 0
b
Which is the second smallest value? (a) -5 (b) -2/5 (c) 0 (d) 2
b
What is the fifth biggest value in -0.4, -0.2, 0.4, 0.3, -7/6?
-7/6
Which is the fifth biggest value? (a) 5 (b) 2/73 (c) 2/17 (d) -3 (e) 0.5
d
What is the third biggest value in -4, 0.2, -3, -0.4, -0.00 | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {a: 16, s: 2}. What is prob of picking 1 a and 2 s?
1/51
Three letters picked without replacement from mfffvfvffvmwm. What is prob of picking 3 m?
1/286
Two letters picked without replacement from wnnwnnnwnnnwwwnnwnww. Give prob of picking 1 n and 1 w.
99/190
Calculate prob of picking 2 p when two letters picked without replacement from {f: 8, v: 4, p: 2}.
1/91
Two letters picked without replacement from {a: 3, j: 2, c: 5, r: 2}. Give prob of picking 1 r and 1 j.
2/33
Two letters picked without replacement from tqktkkqkq. What is prob of picking 1 q and 1 k?
1/3
Three letters picked without replacement from {c: 3, j: 7, u: 8, s: 2}. What is prob of picking 2 j and 1 s?
7/190
Three letters picked without replacement from {r: 4, x: 2, d: 3, h: 1, a: 7}. What is prob of picking 1 d and 2 r?
9/340
Two letters picked without replacement from {o: 1, q: 2, y: 1}. What is prob of picking 1 q and 1 y?
1/3
Three letters picked without replacement from {q: 9, g: 2}. Give prob of picking 1 q and 2 g.
3/55
Calculate prob of picking 3 d and 1 c when four letters picked without replacement from dddddcdcdd.
8/15
Two letters picked without replacement from {m: 1, z: 3, r: 1, c: 1, y: 1}. Give prob of picking 1 z and 1 m.
1/7
What is prob of picking 1 r, 2 k, and 1 w when four letters picked without replacement from {r: 4, w: 4, k: 5, i: 1, f: 1}?
32/273
Two letters picked without replacement from qqkqkq. Give prob of picking 2 k.
1/15
Four letters picked without replacement from {g: 4, p: 3, t: 1, j: 2}. Give prob of picking 1 t, 1 p, and 2 g.
3/35
Calculate prob of picking 3 b when three letters picked without replacement from xbnxnnbbbbxxxxnbbbb.
28/323
Two letters picked without replacement from iiiiikiiiiiriirr. What is prob of picking 1 r and 1 i?
3/10
Two letters picked without replacement from jjxnjjal. Give prob of picking 1 j and 1 x.
1/7
Calculate prob of picking 4 a when four letters picked without replacement from avlalaalaavlvvaav.
1/34
What is prob of picking 1 m, 1 a, and 1 d when three letters picked without replacement from oaddm?
1/5
What is prob of picking 2 f, 1 r, and 1 e when four letters picked without replacement from egcfgfrrs?
1/63
Two letters picked without replacement from czzytccccczczcc. What is prob of picking 1 c and 1 t?
3/35
What is prob of picking 4 c when four letters picked without replacement from cccccccccc?
1
Calculate prob of picking 1 m, 1 l, and 1 u when three letters picked without replacement from eeumltteruueet.
3/364
What is prob of picking 1 y and 1 x when two letters picked without replacement from pykopyxw?
1/14
Two letters picked without replacement from {p: 5, n: 4, q: 1}. What is prob of picking 2 p?
2/9
Two letters picked without replacement from {i: 1, g: 1, x: 1, a: 7, j: 5}. Give prob of picking 2 a.
1/5
What is prob of picking 3 h when three letters picked without replacement from {h: 5, l: 1, s: 5, n: 6, u: 2}?
10/969
Three letters picked without replacement from xjqaxvq. Give prob of picking 1 v and 2 q.
1/35
Three letters picked without replacement from {b: 2, w: 7}. Give prob of picking 3 w.
5/12
Three letters picked without replacement from {d: 1, m: 1, u: 2, w: 1, f: 1, n: 1}. What is prob of picking 1 f, 1 n, and 1 d?
1/35
Four letters picked without replacement from swssws. What is prob of picking 2 w and 2 s?
2/5
Two letters picked without replacement from pdopg. Give prob of picking 1 d and 1 g.
1/10
Calculate prob of picking 2 z, 1 t, and 1 i when four letters picked without replacement from ztzkiztzikbb.
8/165
Calculate prob of picking 2 r when two letters picked without replacement from rrvvvrvv.
3/28
What is prob of picking 3 p when three letters picked without replacement from upuppuuu?
1/56
What is prob of picking 4 t when four letters picked without replacement from {c: 3, t: 5}?
1/14
Three letters picked without replacement from wffmwfzzf. Give prob of picking 1 f, 1 m, and 1 z.
2/21
Calculate prob of picking 2 z and 1 s when three letters picked without replacement from {z: 3, s: 2}.
3/5
What is prob of picking 1 d and 1 b when two letters picked without replacement from {n: 1, x: 2, b: 1, d: 1}?
1/10
Calculate prob of picking 1 f and 1 b when two letters picked without replacement from bkgfa.
1/10
Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, j: 1, w: 1}.
1/3
Four letters picked without replacement from zzqrqqqrs. What is prob of picking 1 r, 1 s, 1 z, and 1 q?
8/63
What is prob of picking 1 p and 1 x when two letters picked without replacement from jtxtxgpdgggtg?
1/39
Three letters picked without replacement from rrcrrtcgvgucvc. What is prob of picking 1 c, 1 r, and 1 t?
4/91
Four letters picked without replacement from nnnndnxyzxjxnjj. Give prob of picking 1 d, 1 y, and 2 j.
1/455
What is prob of picking 1 g and 1 i when two letters picked without replacement from {g: 2, e: 5, d: 4, i: 7}?
14/153
Calculate prob of picking 1 l, 1 g, and 1 u when three letters picked without replacement from ugyeulyemlyyeyugey.
1/68
What is prob of picking 1 p and 1 w when two letters picked without replacement from {p: 4, n: 1, s: 1, f: 2, w: 3}?
12/55
Three letters picked without replacement from {j: 2, z: 4, b: 3, o: 1, d: 1}. What is prob of picking 2 j and 1 o?
1/165
Two letters picked without replacement from zsz. What is prob of picking 2 z?
1/3
Three letters picked without replacement from uuuu. Give prob of picking 3 u.
1
Four letters picked without replacement from sssssbbss. Give prob of picking 4 b.
0
Three letters picked without replacement from {d: 4, y: 10, r: 6}. Give prob of picking 2 y and 1 r.
9/38
Three letters picked without replacement from {p: 9, o: 4, d: 1}. What is prob of picking 1 o and 2 p?
36/91
Three letters picked without replacement from xatyxttyyxtyy. Give prob of picking 1 y, 1 a, and 1 t.
10/143
Two letters picked without replacement from rrjmjjcjrjje. Give prob of picking 2 r.
1/22
Calculate prob of picking 2 f and 1 e when three letters picked without replacement from {e: 8, f: 5}.
40/143
What is prob of picking 2 f when two letters picked without replacement from lllff?
1/10
What is prob of picking 1 r and 1 x when two letters picked without replacement from rrrtrtjcrrjjx?
1/13
Three letters picked without replacement from yprkktkprrtrvv. Give prob of picking 1 t and 2 k.
3/182
Two letters picked without replacement from {c: 6, x: 3, e: 1, h: 4}. Give prob of picking 1 x and 1 e.
3/91
Two letters picked without replacement from dooooddodd. What is prob of picking 2 d?
2/9
Three letters picked without replacement from hqcww. What is prob of picking 2 w and 1 h?
1/10
What is prob of picking 1 j and 1 e when two letters picked without replacement from ocmejox?
1/21
What is prob of picking 2 h and 1 f when three letters picked without replacement from fhaoihsi?
1/56
Calculate prob of picking 3 m and 1 g when four letters picked without replacement from {a: 2, g: 4, m: 3}.
2/63
Four letters picked without replacement from {v: 3, b: 13, e: 3}. What is prob of picking 3 b and 1 v?
143/646
Three letters picked without replacement from {i: 7, c: 2, n: 6}. Give prob of picking 1 c and 2 i.
6/65
What is prob of picking 1 g, 1 w, and 2 r when four letters picked without replacement from uuryryegygyweurrg?
9/1190
Two letters picked without replacement from {k: 2, z: 1, u: 2, e: 1, d: 1, v: 2}. Give prob of picking 1 k and 1 z.
1/18
Two letters picked without replacement from {s: 3, p: 1, y: 5, u: 4}. What is prob of picking 1 s and 1 p?
1/26
Four letters picked without replacement from llvlvvvlvlo. What is prob of picking 2 v and 2 l?
10/33
Calculate prob of picking 1 j and 3 c when four letters picked without replacement from qjqqccqqcqjcqqqq.
2/455
Three letters picked without replacement from pppwmtwop. Give prob of picking 3 p.
1/21
What is prob of picking 2 z and 1 o when three letters picked without replacement from zzooozzzzzzzzz?
165/364
What is prob of picking 2 y when two letters picked without replacement from botodggygootgoyg?
1/120
Calculate prob of picking 2 k and 2 f when four letters picked without replacement from {x: 1, k: 5, f: 7, d: 3}.
3/26
Calculate prob of picking 3 j when th | {
"pile_set_name": "DM Mathematics"
} |
1001657*a**4 - 52*a - 5252 wrt a.
12019884*a**2
Differentiate -1048*c**2*w + 17*c*w + 43822*w wrt c.
-2096*c*w + 17*w
Find the second derivative of 192844*i**3 - 2*i**2 - 1306112*i wrt i.
1157064*i - 4
What is the derivative of 2198*s**2*w + 775*s**2 + 10*s*w + 17*s wrt w?
2198*s**2 + 10*s
What is the third derivative of -841699*l**4 + l**3 - 56487*l**2 wrt l?
-20200776*l + 6
What is the second derivative of 1803271*o**2 - 1450026*o wrt o?
3606542
Find the first derivative of -133169*j*n - j + n + 603211 wrt j.
-133169*n - 1
What is the derivative of -10132*r**4 + 17236 wrt r?
-40528*r**3
Find the second derivative of -32*a**2*n - 119*a**2 - 2*a*n + 324*a + n + 1 wrt a.
-64*n - 238
What is the third derivative of a*i**5 + 80025*a*i**4 + 10908*a*i**2 - 2*a - 2 wrt i?
60*a*i**2 + 1920600*a*i
Find the second derivative of 2*g**5 - 236123*g**4 - 26943*g - 4.
40*g**3 - 2833476*g**2
What is the derivative of -488*o**4 - 7*o**3 + 5282?
-1952*o**3 - 21*o**2
What is the first derivative of -65*h*u**3 + 604*h*u**2 - 17*u**3 - 1117*u**2 wrt h?
-65*u**3 + 604*u**2
What is the derivative of 84*f**4 - 239*f**3 - 6*f**2 - 2*f + 2101806?
336*f**3 - 717*f**2 - 12*f - 2
What is the derivative of 5*q**2*s**2 + 798*q**2 + 162879*s**2 wrt q?
10*q*s**2 + 1596*q
What is the third derivative of -998*a*r**3 - 3*a*r + 6853*a + 4*r**5 + 3*r**3 + r**2 wrt r?
-5988*a + 240*r**2 + 18
What is the third derivative of 1559*a**4*t + 58*a**3*t + a**2*t - 311*a*t + 27*a - 1 wrt a?
37416*a*t + 348*t
Differentiate -15*b*g**2*o**2 + 32304*b*g**2 + 2*b*o - 2*o**2 + 69*o - 595 with respect to g.
-30*b*g*o**2 + 64608*b*g
What is the third derivative of 20*h*q**2*r**3 + 41*h*q**2*r**2 - h*q*r - 3*h*r**2 - 2*q**2*r**3 - 63*q**2*r - 439*q*r**3 wrt r?
120*h*q**2 - 12*q**2 - 2634*q
What is the derivative of 1867*l**2*u**2 + 7*l**2 - 25*l*u**2 - 1782*l + 2 wrt u?
3734*l**2*u - 50*l*u
Find the second derivative of 2*a*j**4 - 10*a*j - 7746*a - 39642*j**4 + 2*j**2 wrt j.
24*a*j**2 - 475704*j**2 + 4
Find the third derivative of 28005*w**3*x*y**2 - 2*w**3*x*y + w**2*x + 432*w**2 - 2*x*y**2 - 2*y**2 wrt w.
168030*x*y**2 - 12*x*y
Find the first derivative of -3381*n**2 + 22*n + 834987.
-6762*n + 22
What is the second derivative of -7075*g**3*x**2 - 6*g**3*x + g*x**2 + 5*g*x + 285*g - 3 wrt g?
-42450*g*x**2 - 36*g*x
What is the third derivative of -45029*u**3 + 727*u**2 - 11?
-270174
Differentiate 532561*c*p**3*y + 4*c*p**3 - 2*c*p**2 - 20885*c*p - 3*p*y with respect to y.
532561*c*p**3 - 3*p
Find the second derivative of 3*q**2*v**2 - 531302*q**2*v - 9*q*v**2 - q + v**2 - 209*v + 24 wrt q.
6*v**2 - 1062604*v
Differentiate -2685234*p*t - 3271833*p wrt t.
-2685234*p
What is the second derivative of 1649*c*u**3 + 3*c*u**2 - 32950*c*u - 2*u**3 + 13*u**2 - 2*u - 7 wrt u?
9894*c*u + 6*c - 12*u + 26
Differentiate 7*d*o**4 - 63*d*o**3 + 4*d + 18*o**2 + 2211 with respect to o.
28*d*o**3 - 189*d*o**2 + 36*o
Find the first derivative of -4*g*x**2 + 5*g*x*y + g*y - 34*x**3*y + 52032*x**3 + x*y wrt y.
5*g*x + g - 34*x**3 + x
What is the second derivative of 196*k*s**2 - 462954*k*s + 204*s**5 wrt s?
392*k + 4080*s**3
Find the first derivative of -3*n*s**2 - 5*n*s + 2001*n + 3*s**2 + 12*s + 3 wrt s.
-6*n*s - 5*n + 6*s + 12
Find the first derivative of 1409313*y - 566027 wrt y.
1409313
What is the third derivative of -1025043*t**5 - 1046025*t**2?
-61502580*t**2
What is the second derivative of -j*q**3 + 2*j*q + j - 29*q**3 - 191*q**2 + 18 wrt q?
-6*j*q - 174*q - 382
Find the first derivative of 406*x**3 + 9*x**2 - 2*x + 8211 wrt x.
1218*x**2 + 18*x - 2
What is the second derivative of -278*c**3 + 3*c**2 - 389938*c?
-1668*c + 6
Find the second derivative of -1080*o**3*v**2 + 47*o**3 + 2*o**2*v**2 - 4*o**2 + 3*o*v**3 - o*v + 2*o wrt v.
-2160*o**3 + 4*o**2 + 18*o*v
What is the second derivative of -514132*p**4 + 168*p - 280 wrt p?
-6169584*p**2
What is the second derivative of -107578*b**3 + 1187*b + 85 wrt b?
-645468*b
What is the first derivative of 46*i**4*z**3 + 150*i**3*z**3 + 15919*z**3 wrt i?
184*i**3*z**3 + 450*i**2*z**3
Find the second derivative of 2790884*x**4 + 4*x + 16279.
33490608*x**2
Differentiate -1445*c**2*l**3 + 3888*c**2 - c*l**2 - 4*c - 3*l + 1 wrt l.
-4335*c**2*l**2 - 2*c*l - 3
Find the third derivative of -17*b**5 - 121456*b**4 - 4*b**2 + 1097*b + 3.
-1020*b**2 - 2914944*b
Differentiate -96*p**3*t - 16*p**3 - 2*p**2 - 20*p*t + 18*p - 39*t - 6 wrt t.
-96*p**3 - 20*p - 39
What is the second derivative of 711*m**2*u**3 + 15*m**2*u - 7*m**2 - 140*m*u**3 - 15*m - 2*u - 2 wrt u?
4266*m**2*u - 840*m*u
Find the second derivative of -2*c**5 + 2*c**4 - 1098*c**3 - 23732*c + 1 wrt c.
-40*c**3 + 24*c**2 - 6588*c
Find the second derivative of -14896*m**2*v**2 - 3*m**2 - m*v + 3*v + 41 wrt v.
-29792*m**2
What is the third derivative of 1759612*u**3 - 5407*u**2 - u - 69 wrt u?
10557672
Differentiate -199306*u**2 + u + 182246 wrt u.
-398612*u + 1
What is the third derivative of 36417*n**3*x + n**3 - 2*n**2*x - 17*n**2 + n + 190 wrt n?
218502*x + 6
What is the second derivative of -134176*y**2 + 1988*y + 125?
-268352
Find the second derivative of -b**4*r**3 + 8163*b**2*r**3 - b*r**2 - 63*r**3 + r**2 - 19 wrt b.
-12*b**2*r**3 + 16326*r**3
Differentiate 351633*o**3*t**3 + 8*o**3 - 72*o**2 + 51*o + 2 wrt t.
1054899*o**3*t**2
What is the third derivative of -577986*l**3 + l**2 - 12*l + 3733 wrt l?
-3467916
What is the third derivative of 3*g**5 + 46*g**4*u - 82*g**3 + 22*g**2*u - 1025*g**2 - 2*g wrt g?
180*g**2 + 1104*g*u - 492
Find the second derivative of 106*c*j**3 + 2798*c + 2*j**5 - 59*j**4 - j wrt j.
636*c*j + 40*j**3 - 708*j**2
What is the derivative of -l**2*w + 93*l**2 + 38*l*w - 2398*w + 234 wrt w?
-l**2 + 38*l - 2398
Differentiate -7*p**2*s**2 + 127*p**2*s + 108*p - 548992*s**2 + 2*s wrt p.
-14*p*s**2 + 254*p*s + 108
Differentiate -5*b*d**2 - 55678*b + 42*d**2 with respect to d.
-10*b*d + 84*d
What is the derivative of h**4 - 766*h**2 - 5*h + 364933?
4*h**3 - 1532*h - 5
Find the second derivative of -2*l**2*s**2 - 170*l**2*s + 18*l**2 + 13*l*s**2 + 9*s**2 + 2*s - 49 wrt l.
-4*s**2 - 340*s + 36
Differentiate 169*i*v**2 - 152*i*v - 8368*i + 3*v**2 - 2*v - 2 wrt v.
338*i*v - 152*i + 6*v - 2
What is the derivative of -814*d**3*p**2 - 60*d**3*p - 1321*p**2 + 2*p - 14 wrt d?
-2442*d**2*p**2 - 180*d**2*p
What is the first derivative of -24222*k*n**3 + 3*n**3 + 9159 wrt k?
-24222*n**3
What is the derivative of -559563*a + 889977 wrt a?
-559563
Find the third derivative of 1253*g**2*z**5 + 4654*g**2*z**2 + 35*g*z**6 + 4*g*z**2 + 4*g*z wrt z.
75180*g**2*z**2 + 4200*g*z**3
Differentiate -13*o*z**2 - 3*o*z + 5977*o + 306*z - 2 wrt z.
-26*o*z - 3*o + 306
Differentiate 8*q**3 - q**2 + 283*q + 15699 wrt q.
24*q**2 - 2*q + 283
Find the first derivative of 600621*w + 553788 wrt w.
600621
What is the derivative of -41068*b**3*y - 4*b**3 + 6*b**2*y**2 - 53485*b**2 wrt y?
-41068*b**3 + 12*b**2*y
Find the second derivative of 3459*b**4*g + 40*b**4 - 2*b*g - 63627*g wrt b.
41508*b**2*g + 480*b**2
What is the second derivative of -74*r**4 - 7*r**3 - 2*r**2 - 2245*r - 1 wrt r?
-888*r**2 - 42*r - 4
What is the second derivative of 3*r**3 + 1910*r**2*v**2 - 2*r + 5535*v**2 - 1 wrt r?
18*r + 3820*v**2
Find the third derivative of -310668*j**5 - 158*j**2 - 8*j + 15.
-18640080*j**2
Find the second derivative of 2*f*z**3 + 18*f*z**2 + 988*f*z - 2*z**2 - 3*z wrt z.
12*f*z + 36*f - 4
Find the first derivative of n**4*x - 30756*n**3*x**3 - 3*x**3 + x**2 - 695*x - 17 wrt n.
4*n**3*x - 92268*n**2*x**3
Find the third derivative of -245066*k**6 - 377972*k**2.
-29407920*k**3
What is the second derivative of 23686*y**2 + 92755*y wrt y?
47372
What is the second derivative of 86686*h**3 - 242491*h wrt h?
520116*h
What is the derivative of -37473*o*z - 5927*o + 2*z - 7 wrt z?
-37473*o + 2
What is the second derivative of -1114*o**3*s**2 - 316*o**3*s + 2*o**2*s**2 - 141*o**2*s + 2*o**2 + 47*s**2 wrt s?
-2228*o**3 + 4*o**2 + 94
Differentiate -1337514*a**2*k**2 - a**2 + 752722 wrt k.
-2675028*a**2*k
Find the second derivative of -2*t**4 - 5*t**3 - 4414*t**2 + 9*t - 4020.
-24*t**2 - 30*t - 8828
Find the second derivative of 3*o**4 + 274*o**3 - 195*o**2 + 3501266*o.
36*o**2 + 1644*o - 390
What is the second derivative of -1002728*d**2 - 165333 | {
"pile_set_name": "DM Mathematics"
} |
Let o = -3 + 4. Let k(s) = o*p(s) - 4*y(s). Determine g*k(u) - 7*i(u).
-u**2
Let w(b) = 2*b**2 - 4*b + 3. Let z be w(2). Let k(n) = -n**2 - 4*n + 1. Let f(g) = -2*g**2 - 7*g + 2. What is z*f(i) - 5*k(i)?
-i**2 - i + 1
Let m(r) = r**2 - 7*r + 6. Suppose 3*l - 8*l + 25 = 0. Let v(k) = k - 1. Calculate l*v(i) + m(i).
i**2 - 2*i + 1
Let t(r) = -3*r**3 + 4*r**3 + r**3 - 6*r**2 - 3*r + 0*r. Let g(n) = -n**2. Determine -6*g(b) + t(b).
2*b**3 - 3*b
Let d(u) = 3*u**3 - 21*u**2 - 21*u + 21. Let g(n) = -n**3 + 5*n**2 + 5*n - 5. Suppose 120 = 5*l + 95. Determine l*d(o) + 21*g(o).
-6*o**3
Let f(i) = 2*i**3 + 3*i**2 + 3. Let c(u) = -5*u**3 - 7*u**2 - 7. Calculate -3*c(p) - 7*f(p).
p**3
Let m(h) = 988*h**3. Let a(f) = 19*f**3. Calculate 209*a(l) - 4*m(l).
19*l**3
Let c(m) be the third derivative of -m**4/4 + 5*m**3/6 + 11*m**2. Let q = 30 + -8. Let o(k) = k - 1. Suppose 5*x - 16 = x. Calculate q*o(v) + x*c(v).
-2*v - 2
Let r(a) = -a + 1. Let d(x) = 5*x + 4. What is d(f) + 3*r(f)?
2*f + 7
Suppose w = o - 3, -3*o - 1 = w - 6. Let p(s) = 2*s + o + s - 2*s. Suppose -z + 6*z + 20 = 0. Let j(v) = 4*v + 7. Give z*j(x) + 14*p(x).
-2*x
Let c = 51 + -50. Let v(r) = r**2 - r. Let t(w) = -6*w**2 + 2*w. Determine c*t(i) + 4*v(i).
-2*i**2 - 2*i
Let w(i) = -i**2 - i - 1. Let c(z) = -3*z + 2*z + z**2 + 2 + 3*z. Let f = -7 - -8. Determine f*c(v) + 2*w(v).
-v**2
Let m(p) = p + 3. Let a(b) = b**3 + b + 3. Let z(v) = v**3 + v + 3. Let f(x) = 3*a(x) - 4*z(x). Calculate 2*f(n) + 3*m(n).
-2*n**3 + n + 3
Let y(c) = 86*c**2 + 1. Let r(n) = 258*n**2 + 3. Give 3*r(a) - 8*y(a).
86*a**2 + 1
Let d(u) = 7*u + 5. Let h(p) be the first derivative of -3/2*p**2 - 2*p + 1. Determine -2*d(o) - 5*h(o).
o
Let a(k) = -4*k**3 + 2*k**2 - 1. Let l(t) be the first derivative of 9*t**4/4 - 5*t**3/3 + t**2/2 + 2*t - 5. What is 5*a(z) + 2*l(z)?
-2*z**3 + 2*z - 1
Let s(q) = 4*q + 1. Let c(v) = -v + 106 + 7*v - 105. Determine -5*c(z) + 7*s(z).
-2*z + 2
Let b(z) = 7*z + 4. Let i = 1 + 2. Suppose i*h - 6*h = -39. Let c(u) be the second derivative of -5*u**3/2 - 9*u**2/2 - 3*u. What is h*b(w) + 6*c(w)?
w - 2
Let s(o) = 3*o**2 - 3*o + 3. Let g(w) = -10*w**2 + 8*w - 8. Give 3*g(c) + 8*s(c).
-6*c**2
Let y(i) = 1. Let n(r) = -r**3 + 6. Let p be ((-2)/(-4))/((-2)/(-20)). Let q = 59 + -55. Suppose -2*k - 2 = 2*t - 3*k, 5*t + p = q*k. Give t*n(g) + 4*y(g).
g**3 - 2
Let u(x) = -29*x**3 - 4*x - 4. Let o(v) = -28*v**3 - 5*v - 5. Calculate 4*o(n) - 5*u(n).
33*n**3
Let u(c) = -2*c**2 - 5*c + 4. Let k(z) = -5*z**2 - 11*z + 9. Suppose 4*a = 5*a + 3. What is a*k(p) + 7*u(p)?
p**2 - 2*p + 1
Let s(i) be the third derivative of -5*i**4/12 - 8*i**3/3 - 3*i**2. Let l(r) = -r - 1. Let w(n) = 7*n + 9. Let d(a) = 4*l(a) + w(a). Give 16*d(u) + 5*s(u).
-2*u
Let c(z) = z**3 - z + 1. Let q(f) = 2*f**3 - 3*f + 3. What is 3*c(h) - q(h)?
h**3
Let k(i) = -15*i + 13. Let o(u) = 2*u + 1. Let t be o(3). Let m(y) = 11*y - t + y - 4*y. Calculate 6*k(p) + 11*m(p).
-2*p + 1
Let v(g) = -17*g**3 + 7*g**2 + 7*g. Let j(t) = -8*t**3 + 3*t**2 + 3*t. What is 7*j(z) - 3*v(z)?
-5*z**3
Let y(f) = -6*f**2 + 3*f + 3. Let u(q) = -36*q**2 + 16*q + 16. Let h(x) = -18*x**2 + 8*x + 8. Let m(g) = 5*h(g) - 3*u(g). Give 3*m(c) + 8*y(c).
6*c**2
Let a(i) = -2*i - 3. Let c(p) = -p + 1. Let w(t) = 2*t + 7. Let m(d) = -2*c(d) + w(d). Determine -5*a(l) - 3*m(l).
-2*l
Let m(f) = 7*f**2 - 4*f - 5. Let u(p) = 4*p**2 + 0 + 3*p + 0*p - 10*p**2 + 4. Calculate 4*m(g) + 5*u(g).
-2*g**2 - g
Let r(h) = -287*h**3 - 41*h**2 + 41*h + 41. Let o(b) = 36*b**3 + 5*b**2 - 5*b - 5. Calculate -41*o(w) - 5*r(w).
-41*w**3
Suppose f - 3 = -2*f. Let c(p) = -1. Let y(o) = -o**3 + 5*o**2 - 4*o + 2. Let i be y(4). Let z(d) = -2*d + i - 4 + 2. What is f*c(b) + z(b)?
-2*b - 1
Let n(c) = c + 2. Let v be (0 - -4)/8 + (-14)/(-4). Let a(i) = -2*i - 2. What is v*n(k) + 3*a(k)?
-2*k + 2
Let z(a) = 2*a**3 - 13*a**2 + 15*a + 2. Let k(c) = c**3 - 6*c**2 + 7*c + 1. What is -13*k(u) + 6*z(u)?
-u**3 - u - 1
Let j(u) = 2*u + 1. Let a(y) = -2*y - 1. Suppose -20 - 5 = 5*s. Give s*j(z) - 6*a(z).
2*z + 1
Let z(l) = -l - 11. Let a(w) = 1. Let c(k) = k**3 + 7*k**2 + 4. Let r be c(-7). Calculate r*z(v) + 44*a(v).
-4*v
Let r(g) = -4*g + 4. Let z = 15 - 19. Let b(n) = 3*n - 3. Determine z*r(x) - 5*b(x).
x - 1
Let b(o) = 4*o. Let p(m) = 2*m - 9. Suppose -3*s + 1 = -2*s, 0 = -5*k - 3*s + 33. Let l be p(k). Let n(u) = -5*u + 4*u - 4*u. What is l*b(r) + 2*n(r)?
2*r
Let o(j) = 36*j**2 - 27*j + 27. Let g(q) = -5*q**2 + 4*q - 4. Calculate 27*g(f) + 4*o(f).
9*f**2
Let j(s) be the first derivative of -5*s**2 - 2*s + 1. Let l be -11 - 3*(1 - 0)*-1. Let w(i) = -i. Calculate l*w(n) + j(n).
-2*n - 2
Let r(c) = -c**2. Suppose -6*z + z = -5*i - 35, -2*i = -z + 9. Let l = 3 + -2. Let s(g) = 2*g + 1 + 4*g**2 - 2*g**2 - 6*g**2. Calculate i*r(u) + l*s(u).
-2*u**2 + 2*u + 1
Let w(c) = -14*c + 4*c + 13 - 3*c - 4*c**2. Let p(r) = -3*r**2 - 9*r + 9. Let z(f) = -6*f**3 + f**2 + f - 1. Let q be z(1). Give q*w(s) + 7*p(s).
-s**2 + 2*s - 2
Let q(z) = 3*z**2 - 4*z - 6. Let u(l) = 3*l**2 - 3*l - 5. Let w be (6/4)/(15/(-30)). Give w*q(n) + 4*u(n).
3*n**2 - 2
Let p(k) = -1 + 11*k + 3 + 15. Let h(f) = 2*f + 3. Give 34*h(i) - 6*p(i).
2*i
Let g(q) = q + 3. Let x be g(-7). Let v(h) = 5*h**2 + 4*h + 2. Suppose 5 = 3*y - 4*y. Let o(w) = -6*w**2 - 5*w - 2. Determine x*o(l) + y*v(l).
-l**2 - 2
Let l(s) = 2*s**2 + 5*s + 5. Let f(c) = -7*c - 12*c**2 + 11*c + 14*c**2 + 4. Determine -5*f(m) + 4*l(m).
-2*m**2
Suppose 0*y - 4 = 4*y, -8 = -5*f - 2*y. Let d(h) = 6*h**3 + 10. Let l(n) = 2*n**3 + 3. Determine f*d(q) - 7*l(q).
-2*q**3 - 1
Let n(y) = 1. Suppose -2*o = 4*f + 6, -2*f = 3*o + 2*o + 23. Let g(s) = -4*s + 7. Let m(t) = 5*t - 11. Let p(v) = -3*g(v) - 2*m(v). What is f*p(i) - 2*n(i)?
2*i - 1
Let o(z) = 11*z - 6*z + 6*z**2 - 25*z - 23. Let d(n) = 2*n**2 - 7*n - 8. Suppose -i + 0 + 17 = 0. Give i*d(p) - 6*o(p).
-2*p**2 + p + 2
Let f(m) = 2*m**2 + 4*m - 3. Let z(c) = -2*c**2 - 5*c + 4. What is -5*f(t) - 4*z(t)?
-2*t**2 - 1
Let s be (6/(-10))/((-2)/10). Let c(x) = -2*x. Let m(i) = 5*i + 2*i - 9*i + i. Give s*c(o) - 4*m(o).
-2*o
Let j(i) = i + 1. Let s(w) = 3*w. Let h(q) = -2*j(q) - s(q). Let b(m) = -9*m - 4. Calculate -6*b(k) + 11*h(k).
-k + 2
Let j(f) = -8*f**2 - 2*f - 6. Let i(u) = 23*u**2 + 5*u + 17. Determine -4*i(g) - 11*j(g).
-4*g**2 + 2*g - 2
Let o(f) = 3*f + 6. Let n(s) = 3*s + 5. Let z = -41 - -36. Calculate z*n(r) + 4*o(r).
-3*r - 1
Let g(i) = -2*i**2 + 4*i. Let t(l) = l**2 - 3*l. Suppose -5*a = 2*k + 20, 3*k + 3*a = -0*a - 12. Suppose k*m + 2 = -m. Determine m*g(c) - 3*t(c).
c**2 + c
Let q be 1/(-1) - (13 - 16). Let i(d) = d + 4*d + 2 - d. Let u(o) = -o - 1. Give q*u(y) + i(y).
2*y
Let r(g) = -4*g. Let m(s) = 5*s + 1. Let h(j) = -3*m(j) - 4*r(j). Let z(f) be the second derivative of -2*f**3/3 + 13*f**2/2 + 2*f. Calculate 26*h(t) + 6*z(t).
2*t
Let b(r) = 7*r**2 - 4*r + 2. Let g(z) = 8*z**2 - 5*z + 1. Calculate 4*b(c) - 3*g(c).
4*c**2 - c + 5
Let o(f) = f**2 - 17*f - 13. Let n(r) = -4*r + 1. Let z(t) = 1. Let b(q) = -n(q) + 4*z(q). Determine -9*b(k) - 2*o(k).
-2*k**2 - 2*k - 1
Let j(m) = 3*m + 2. Let h be (-10 + (-2 - -2))/2. Let i(z) = -3*z - 2. What is h*j(c) - 6*i(c)?
3*c + 2
Let s(f) = -6*f - 12. Let k(r) = -6*r - 11. Let l(w) = 4*k(w) - 5*s(w). Let b(a) = -a - 3. Suppose -u + 5 - 4 = 0. Suppose 0 = m + 1 + u. Give m*l(h) - 11*b(h).
-h + 1
Suppose 3*u = -3*u. Let g be (-3)/(-6) + (-1)/(-2). Let a(x) = 4*x + g + 3 + 0 + u - 2*x**2. Let z(r) = -5*r**2 + 11*r + 11. Calculate -11*a(h) + 4*z(h).
2*h**2
Let y(i) = i**2 - 6*i - 4. Let o be y(6). Suppose 1 + 0 = -q. Let h be 2*(o - -2 - q). Let v(l) = 5*l + 13. Let r(g) = g + 3. Give h*v(k) + 9*r(k).
-k + 1
Let s(j) = -j**3. Let o(b) = -b**3 + 2*b**2 + 2*b + 1. Give -o(k) - 2*s(k).
3*k**3 - 2*k**2 - 2*k - 1
Let w(s) = -5*s + 19*s + 6*s + 6 + s. Let q(l) = -4*l - 1. Determine 11*q(z) + 2*w(z).
-2*z + 1
Let x(y) = 11*y + 4. Let r(p) = -5*p - 2. Let m(t) = 14*r(t) + 6*x(t). Let v(s) = 6*s + 6. What is -7*m(j) - 5*v(j)?
-2*j - 2
Let d be 2/1 + 0/(-8). Suppose c + 3 + d = 0. Let m(y) = -7*y + 6. Let r = 5 + 1. Let w(f) = -6*f + 5. What is c*m(u) + r*w(u)?
-u
Let l(z) = -16*z**2 - 16*z - 17 + 10 + 4*z**3 - 9. Let r(c) = -c**3 + 5*c**2 + 5*c + 5. Calculate -5*l(g) - 16*r(g).
-4*g**3
Let y(x) = 34 + x + 39 - 74. | {
"pile_set_name": "DM Mathematics"
} |
ound -83.364 to the nearest ten.
-80
What is -0.018171 rounded to 3 dps?
-0.018
Round -0.059615 to 3 decimal places.
-0.06
Round 0.000003093 to six dps.
0.000003
What is 0.0002718 rounded to 6 decimal places?
0.000272
Round -14.29 to zero dps.
-14
What is 21026000 rounded to the nearest one hundred thousand?
21000000
Round 3.5964 to zero dps.
4
What is 0.00000115217 rounded to 7 dps?
0.0000012
Round -0.4801 to 1 decimal place.
-0.5
What is 4.68 rounded to one decimal place?
4.7
What is -675.8 rounded to the nearest ten?
-680
Round 10.464 to the nearest integer.
10
Round -5091 to the nearest one hundred.
-5100
What is -32600 rounded to the nearest one hundred thousand?
0
Round -0.18224 to 2 decimal places.
-0.18
What is -22438 rounded to the nearest 100?
-22400
Round -2397 to the nearest one thousand.
-2000
What is -0.000018451 rounded to 7 dps?
-0.0000185
Round 797540 to the nearest 1000.
798000
What is -68.273 rounded to the nearest ten?
-70
What is -7561 rounded to the nearest one hundred?
-7600
What is 1474000 rounded to the nearest ten thousand?
1470000
Round 1.23856 to two dps.
1.24
What is -1913350 rounded to the nearest one hundred thousand?
-1900000
Round -7.174 to the nearest integer.
-7
What is 324.8 rounded to the nearest 100?
300
Round 194100 to the nearest one hundred thousand.
200000
What is -75400 rounded to the nearest ten thousand?
-80000
What is 4.046 rounded to 1 decimal place?
4
Round 639 to the nearest ten.
640
Round -870.926 to the nearest one hundred.
-900
Round 234200 to the nearest 100000.
200000
What is -0.003956 rounded to four decimal places?
-0.004
What is 3135.01 rounded to the nearest 100?
3100
Round -14872 to the nearest 1000.
-15000
Round 138.3 to the nearest ten.
140
Round 2.5292 to 1 dp.
2.5
What is -97485 rounded to the nearest 1000?
-97000
What is -3.0635 rounded to two dps?
-3.06
What is 4685900 rounded to the nearest one hundred thousand?
4700000
Round 112.63 to the nearest one hundred.
100
What is -343.35 rounded to the nearest ten?
-340
What is -66.3 rounded to the nearest integer?
-66
What is 0.004101 rounded to three decimal places?
0.004
Round -3001000 to the nearest one hundred thousand.
-3000000
What is 143.99 rounded to the nearest 100?
100
What is 326179000 rounded to the nearest one million?
326000000
What is 39450 rounded to the nearest 10000?
40000
What is 0.05875 rounded to 3 decimal places?
0.059
Round 760.87 to the nearest 100.
800
What is -0.000126302 rounded to six decimal places?
-0.000126
What is -15391000 rounded to the nearest 1000000?
-15000000
Round -287700 to the nearest 10000.
-290000
What is -0.000001903 rounded to 6 decimal places?
-0.000002
What is -103500 rounded to the nearest one hundred thousand?
-100000
What is 0.00000073 rounded to six decimal places?
0.000001
What is 0.00000061571 rounded to seven decimal places?
0.0000006
What is 3409510 rounded to the nearest one hundred thousand?
3400000
Round -24142400 to the nearest 100000.
-24100000
Round 41.4 to the nearest one hundred.
0
Round 0.0000144258 to seven decimal places.
0.0000144
Round 42795 to the nearest one thousand.
43000
Round 413000 to the nearest one hundred thousand.
400000
What is 6.71 rounded to the nearest integer?
7
What is 9.155 rounded to the nearest integer?
9
Round 3982 to the nearest 100.
4000
Round -1166.6 to the nearest ten.
-1170
What is -0.0006692 rounded to 5 dps?
-0.00067
Round -0.0000117 to 6 decimal places.
-0.000012
Round -163.01 to 0 decimal places.
-163
Round 27.075 to the nearest ten.
30
What is 257.5 rounded to the nearest one hundred?
300
What is -0.002061 rounded to 3 decimal places?
-0.002
Round -4.421 to the nearest integer.
-4
What is 137000 rounded to the nearest one hundred thousand?
100000
What is 0.0008357 rounded to 5 dps?
0.00084
What is -52.5 rounded to the nearest ten?
-50
Round -6056000 to the nearest one hundred thousand.
-6100000
What is 0.4577 rounded to 2 dps?
0.46
Round 380.38 to the nearest ten.
380
What is 0.04089 rounded to three dps?
0.041
What is 27680 rounded to the nearest one thousand?
28000
What is 3389200 rounded to the nearest 100000?
3400000
Round 0.02588 to three dps.
0.026
Round -82.4 to the nearest ten.
-80
Round -2.511 to one decimal place.
-2.5
Round -21.5 to the nearest integer.
-22
What is -124240 rounded to the nearest 10000?
-120000
Round -1.27 to one decimal place.
-1.3
What is -0.9257 rounded to one dp?
-0.9
What is -0.0000018394 rounded to six dps?
-0.000002
What is 1190800 rounded to the nearest one million?
1000000
Round 0.00000043349 to seven dps.
0.0000004
What is 116.04 rounded to the nearest integer?
116
Round -422.8 to the nearest one hundred.
-400
What is 0.2857 rounded to 2 dps?
0.29
What is -4867.5 rounded to the nearest one hundred?
-4900
Round -26.469 to one decimal place.
-26.5
Round 0.0001251 to six decimal places.
0.000125
Round -206.76 to the nearest integer.
-207
What is -447700 rounded to the nearest one hundred thousand?
-400000
What is 0.0005614 rounded to 4 decimal places?
0.0006
What is 0.00020365 rounded to five dps?
0.0002
What is -552400 rounded to the nearest 10000?
-550000
Round 0.000007522 to six dps.
0.000008
What is 8704000 rounded to the nearest 100000?
8700000
What is 6830 rounded to the nearest 100?
6800
Round 216.76 to the nearest integer.
217
What is -4310 rounded to the nearest 100?
-4300
What is 0.000008508 rounded to seven dps?
0.0000085
Round -0.016 to one dp.
0
What is 171.8 rounded to the nearest integer?
172
Round -265000 to the nearest 1000000.
0
Round -369100 to the nearest ten thousand.
-370000
What is 0.00029575 rounded to 5 dps?
0.0003
Round 0.7658 to one dp.
0.8
What is 2.3181 rounded to one decimal place?
2.3
What is -0.17909 rounded to three decimal places?
-0.179
What is 87.49 rounded to zero decimal places?
87
What is -432140 rounded to the nearest ten thousand?
-430000
What is 18152 rounded to the nearest one hundred?
18200
Round -0.033925 to two dps.
-0.03
Round -5050 to the nearest 100.
-5100
Round 0.0000009207 to seven decimal places.
0.0000009
What is 18.649 rounded to the nearest integer?
19
What is 428.49 rounded to the nearest integer?
428
Round -0.00008857 to 6 decimal places.
-0.000089
Round -2.744 to one dp.
-2.7
What is 0.819 rounded to zero decimal places?
1
What is 0.00007581 rounded to 6 decimal places?
0.000076
What is 0.0000044956 rounded to six dps?
0.000004
What is 17552000 rounded to the nearest one million?
18000000
What is -351000 rounded to the nearest one million?
0
Round 416.49 to the nearest integer.
416
Round -0.002862 to 3 decimal places.
-0.003
What is 0.00000446 rounded to 6 dps?
0.000004
What is -0.031 rounded to three decimal places?
-0.031
Round 0.00012507 to five decimal places.
0.00013
What is 0.4159 rounded to 1 decimal place?
0.4
What is -321370 rounded to the nearest 1000?
-321000
What is -0.00008261 rounded to 6 decimal places?
-0.000083
What is -1.3063 rounded to 1 decimal place?
-1.3
Round -0.0005634 to four decimal places.
-0.0006
Round 71.283 to the nearest ten.
70
Round -9031 to the nearest 1000.
-9000
Round 0.000082709 to five decimal places.
0.00008
What is -4.5356 rounded to one dp?
-4.5
Round 0.00015315 to 6 decimal places.
0.000153
What is -48842900 rounded to the nearest 100000?
-48800000
What is -20267000 rounded to the nearest one million?
-20000000
What is 48802000 rounded to the nearest one million?
49000000
What is -272350 rounded to the nearest one thousand?
-272000
Round 0.0000579 to 6 dps.
0.000058
Round 124290 to the nearest 10000.
120000
What is -0.000003257 rounded to 7 dps?
-0.0000033
What is 0.0011278 rounded to five dps?
0.00113
What is -67.46 rounded to the nearest 100?
-100
Round 0.03769 to 3 decimal places.
0.038
Round 12.88 to 1 dp.
12.9
Round -230400 to the nearest ten thousand.
-230000
What is 0.0453 rounded to 3 dps?
0.045
What is -0.00001471 rounded to 6 decimal places?
-0.000015
What is 0.0000052485 rounded to 7 dps?
0.0000052
What is 88700 rounded to the nearest ten thousand?
90000
Round 32.117 to zero dps.
32
What is 1568730 rounded to the nearest 100000?
1600000
What is -6036.9 rounded to the nearest one thousand?
-6000
Round -0.031547 to four dps.
-0.0315
Round 0.147 to two dps.
0.15
Round 0.00011524 to six decimal | {
"pile_set_name": "DM Mathematics"
} |
0 (base 10) to base 13
0
Convert 13 (base 13) to base 9.
17
What is -412 (base 6) in base 14?
-ac
Convert -7 (base 8) to base 6.
-11
-c (base 15) to base 8
-14
12 (base 7) to base 16
9
-1 (base 3) to base 12
-1
10 (base 8) to base 5
13
14 (base 14) to base 15
13
Convert -305 (base 6) to base 2.
-1110001
What is 9 (base 10) in base 5?
14
-1 (base 13) to base 2
-1
-1 (base 15) to base 16
-1
1202 (base 3) to base 10
47
Convert 45 (base 13) to base 7.
111
Convert 7 (base 14) to base 12.
7
11 (base 3) to base 5
4
Convert -6 (base 7) to base 3.
-20
Convert 25 (base 16) to base 7.
52
-19 (base 10) to base 9
-21
What is -3 (base 11) in base 8?
-3
Convert -12 (base 3) to base 14.
-5
1 (base 4) to base 12
1
What is 0 (base 13) in base 4?
0
Convert -a (base 14) to base 15.
-a
What is 16 (base 12) in base 5?
33
-141 (base 6) to base 2
-111101
What is -2121 (base 3) in base 2?
-1000110
Convert -11 (base 4) to base 12.
-5
-20 (base 12) to base 4
-120
0 (base 3) to base 9
0
-34 (base 5) to base 3
-201
Convert -11222 (base 3) to base 5.
-1014
Convert 110010 (base 2) to base 4.
302
What is -18 (base 15) in base 9?
-25
Convert -32 (base 8) to base 9.
-28
-224 (base 7) to base 12
-98
Convert 3 (base 11) to base 9.
3
Convert 6 (base 12) to base 13.
6
Convert 5 (base 11) to base 3.
12
What is 65 (base 12) in base 9?
85
102 (base 3) to base 14
b
-3 (base 16) to base 11
-3
-a5 (base 11) to base 14
-83
Convert 11 (base 5) to base 14.
6
7 (base 12) to base 11
7
What is 103 (base 6) in base 8?
47
What is a (base 13) in base 10?
10
What is 29 (base 14) in base 13?
2b
Convert 4 (base 15) to base 11.
4
3 (base 5) to base 10
3
What is -1010 (base 2) in base 13?
-a
188 (base 14) to base 5
2231
-4 (base 5) to base 2
-100
Convert 3 (base 8) to base 14.
3
-a (base 12) to base 2
-1010
What is -5 (base 9) in base 14?
-5
-33 (base 4) to base 13
-12
What is 1 (base 14) in base 6?
1
Convert -3 (base 5) to base 12.
-3
5 (base 8) to base 11
5
What is -4 (base 11) in base 3?
-11
Convert 10 (base 2) to base 7.
2
2 (base 9) to base 5
2
111 (base 6) to base 3
1121
Convert 110 (base 2) to base 10.
6
Convert -4 (base 9) to base 15.
-4
Convert -246 (base 7) to base 6.
-340
What is -10110111 (base 2) in base 15?
-c3
Convert 14d (base 14) to base 8.
411
Convert 2 (base 15) to base 4.
2
Convert 6 (base 16) to base 11.
6
Convert c (base 13) to base 12.
10
-3 (base 16) to base 10
-3
What is -6 (base 12) in base 6?
-10
What is 5 (base 8) in base 6?
5
What is 8 (base 11) in base 13?
8
Convert 9 (base 11) to base 14.
9
What is -22 (base 5) in base 3?
-110
Convert 1 (base 6) to base 3.
1
-65 (base 7) to base 4
-233
-302 (base 4) to base 10
-50
Convert 2 (base 6) to base 4.
2
Convert 2 (base 16) to base 14.
2
12 (base 3) to base 12
5
0 (base 16) to base 3
0
2 (base 9) to base 3
2
0 (base 15) to base 6
0
What is -2 (base 10) in base 4?
-2
Convert -2 (base 7) to base 14.
-2
-24 (base 10) to base 6
-40
What is -313 (base 5) in base 6?
-215
What is 0 (base 13) in base 5?
0
Convert -13 (base 4) to base 14.
-7
0 (base 14) to base 2
0
Convert -b (base 13) to base 10.
-11
6 (base 16) to base 4
12
-15 (base 12) to base 6
-25
What is -32 (base 8) in base 16?
-1a
Convert 11 (base 2) to base 7.
3
What is -11110 (base 2) in base 14?
-22
7 (base 16) to base 9
7
Convert 126 (base 8) to base 9.
105
6 (base 13) to base 7
6
Convert -212 (base 6) to base 16.
-50
Convert 1 (base 7) to base 13.
1
Convert -8a (base 11) to base 7.
-200
Convert -2 (base 9) to base 6.
-2
Convert -8 (base 16) to base 14.
-8
What is -2 (base 12) in base 9?
-2
Convert 1020 (base 3) to base 9.
36
Convert -7 (base 10) to base 5.
-12
Convert 123 (base 11) to base 13.
b3
Convert 8 (base 14) to base 11.
8
2 (base 12) to base 16
2
What is 179 (base 10) in base 14?
cb
What is -2131 (base 4) in base 9?
-184
-15f (base 16) to base 4
-11133
What is -14 (base 10) in base 15?
-e
Convert -25 (base 15) to base 9.
-38
Convert 100 (base 3) to base 8.
11
What is 17 (base 8) in base 13?
12
What is 0 (base 9) in base 15?
0
Convert -25 (base 12) to base 2.
-11101
What is -c9 (base 16) in base 13?
-126
What is 0 (base 13) in base 11?
0
0 (base 10) to base 14
0
92 (base 12) to base 6
302
What is 2 (base 7) in base 8?
2
What is 3 (base 8) in base 3?
10
What is 14 (base 8) in base 5?
22
Convert -5 (base 14) to base 11.
-5
What is -3 (base 8) in base 7?
-3
-2 (base 13) to base 10
-2
33 (base 16) to base 7
102
What is -211 (base 5) in base 14?
-40
Convert 1323 (base 5) to base 8.
325
What is -1 (base 4) in base 3?
-1
0 (base 15) to base 7
0
Convert 4 (base 16) to base 2.
100
What is -4 (base 12) in base 4?
-10
What is -234 (base 6) in base 2?
-1011110
-6 (base 7) to base 2
-110
-101 (base 2) to base 11
-5
What is 4 (base 10) in base 3?
11
-152 (base 12) to base 8
-316
-2 (base 7) to base 5
-2
Convert -10 (base 2) to base 12.
-2
Convert -9c (base 13) to base 8.
-201
1103 (base 5) to base 2
10011001
3 (base 15) to base 4
3
Convert 142 (base 6) to base 12.
52
What is -436 (base 7) in base 3?
-22021
Convert -1 (base 10) to base 9.
-1
What is -41 (base 14) in base 9?
-63
What is 1013 (base 5) in base 12?
b1
Convert -244 (base 5) to base 15.
-4e
Convert -232 (base 5) to base 4.
-1003
Convert -6c (base 15) to base 16.
-66
What is -5 (base 15) in base 7?
-5
Convert -7 (base 14) to base 10.
-7
What is -2 (base 10) in base 3?
-2
What is -10 (base 3) in base 10?
-3
122 (base 7) to base 6
145
What is -2 (base 9) in base 2?
-10
10 (base 14) to base 4
32
What is 312 (base 8) in base 16?
ca
108 (base 9) to base 14
65
13 (base 12) to base 15
10
Convert -11 (base 4) to base 7.
-5
Convert 2 (base 6) to base 14.
2
Convert -6 (base 16) to base 12.
-6
-5 (base 13) to base 9
-5
-42 (base 15) to base 10
-62
Convert -2 (base 12) to base 13.
-2
What is -2 (base 14) in base 7?
-2
What is 7 (base 12) in base 5?
12
-4 (base 16) to base 2
-100
-15 (base 11) to base 15
-11
4 (base 13) to base 11
4
What is 2 (base 15) in base 7?
2
Convert -2 (base 4) to base 15.
-2
What is -17 (base 9) in base 14?
-12
What is 2 (base 10) in base 6?
2
Convert -77 (base 12) to base 8.
-133
What is 107 (base 11) in base 10?
128
1001 (base 2) to base 7
12
Convert 256 (base 8) to base 14.
c6
What is 61 (base 15) in base 16?
5b
Convert -14 (base 6) to base 14.
-a
Convert 1 (base 11) to base 12.
1
Convert 1001 (base 2) to base 16.
9
-15 (base 10) to base 3
-120
-10 (base 8) to base 14
-8
What is -13 (base 16) in base 4?
-103
12113 (base 4) to base 8
627
23 (base 7) to base 14
13
What is -2 (base 9) in base 13?
-2
Convert -50 (base 9) to base 6.
-113
10011 (base 2) to base 10
19
Convert 7 (base 12) to base 6.
11
Convert -4 (base 11) to base 2.
-100
Convert -26 (base 7) to base 11.
-19
-162 (base 8) to base 12
-96
What is -4 (base 16) in base 13?
-4
3e (base 16) to base 9
68
What is -175 (base 10) in base 4?
-2233
What is -224 (base 8) in base 16?
-94
What is -102 (base 3) in base 5?
-21
-12 (base 4) to base 15
-6
What is -51 (base 12) in base 9?
-67
-12 (base 6) to base 15
-8
Convert 5 (base 7) to base 4.
11
Convert 142 (base 5) to base 9.
52
-4 (base 9) to base 2
-100
What is 2 (base 4) in base 16?
2
What is 58 (base 16) in base 12?
74
What is -11 (base 10) in base 14?
-b
87 (base 14) to base 9
142
Convert -21 (base 9) to base 6.
-31
-50 (base 9) to base 12
-39
Convert -30 (base 4) to base 11.
-11
Convert 12 (base 6) to base 11.
8
Convert -48 (base 15) to base 13.
-53
Convert -10 (base 5) to base 8.
-5
Convert -7 (base 8) to base 5.
-12
88 (base 9) to base 5
310
What is -16 (base 12) in base 15?
-13
What is -2 (base 14) in base 12?
-2
Convert -1 (base 13) to base 2.
-1
Convert 1110 (base 3) to base 16.
27
What is -453 (base 6) in base 9?
-216
2 (base 16) to base 11
2
4 (base 15) to base 4
10
What is -a (base 12) in base 8?
-12
What is 48 (base 10) in base 14?
36
What is 29 (base 12) in base 10?
33
What is 1300 (base 5) in base 6?
532
Convert -70 (base 11) to base 2.
-1001101
Convert 10101 (base 2) to base 13.
18
What is -215 (base 9) in base 2?
-10110000
What is 3 (base 16) in base 12?
3
Convert -22 (base 10) to base 3.
-211
Convert -3 (base 14) to base 10.
-3
What is -62 (base 15) in base 4?
-1130
Convert 23 (base 7) to base 11.
16
Convert -6 (base 15) to base 2.
-110
Convert -10 (base 5) to base 2.
-101
What is -270 | {
"pile_set_name": "DM Mathematics"
} |
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