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tiple of 12?
True
Let p(y) = -2*y + 1. Let v be p(-2). Let z be 2/v - (-18)/5. Is 2/(-4)*(-32)/z even?
True
Let c(k) = 3*k - 1. Suppose -5*h + 4*y = y, -4*h = 3*y. Suppose p + 17 = 4*p + w, -4*p - 2*w + 26 = h. Is 4 a factor of c(p)?
False
Suppose 3*u - 640 = 4*s, 2*u - 243 = s + 192. Is u a multiple of 20?
True
Let y be 0*3/6 - -4. Suppose -6*b + 4*b - y = 0. Does 6 divide 32/5 - b/(-5)?
True
Let v(w) = -3*w + 16. Let i be v(12). Let j = i - -29. Is j a multiple of 9?
True
Let m(n) = -n**2 - 4*n + 10. Let c be m(-7). Let o(r) = r**3 + 12*r**2 + 10*r + 5. Does 8 divide o(c)?
True
Suppose -2*v + 0*n + 15 = -n, 2*v = -2*n + 18. Is 3 a factor of v?
False
Suppose -4*u = -0*u - 120. Does 21 divide u?
False
Suppose 3*k + 3 = 0, 0 = o + 2*k - 12 + 2. Is o a multiple of 11?
False
Let q be ((-1568)/(-42))/(1/(-3)). Let o = 191 + q. Does 25 divide o?
False
Suppose 5*u + 9 = 49. Is 6 a factor of u?
False
Suppose -4*n - 2*g - 2*g + 16 = 0, 0 = -3*n + 3*g + 6. Suppose 15 + 9 = -n*f. Let v = 6 - f. Is 5 a factor of v?
False
Let j be (-4)/(-8) + (-9)/(-2). Let x(v) = v**3 - 5*v**2 + 6*v - 4. Is x(j) a multiple of 13?
True
Suppose -3*o + 2*o = -2. Does 16 divide -3*((-120)/9 - o)?
False
Let r = 521 + -348. Is 21 a factor of r?
False
Let u(w) = -36*w - 30*w - 2 + 1. Does 13 divide u(-1)?
True
Let d(m) = m**3 - 12*m**2 - 9*m - 10. Does 23 divide d(13)?
False
Let x = -54 + 100. Is 23 a factor of x?
True
Suppose -2*t - 219 = u, 0 = t - 3*t - 4*u - 222. Let x = t + 49. Let q = -37 - x. Is 14 a factor of q?
False
Let c = 0 + 3. Let q be 10 + (2 + 1 - c). Let d(s) = -s**3 + 10*s**2 + 4*s - 14. Does 11 divide d(q)?
False
Suppose 3*l = 4*r - 2*r - 15, 0 = -3*r + 5*l + 25. Suppose -5*w + b + 95 = r, -2*w + 3*b - 2*b = -41. Does 6 divide w?
True
Suppose -3 + 7 = -2*d, -3*f + d + 191 = 0. Is f a multiple of 51?
False
Let h = -29 + 61. Is 25 a factor of h?
False
Suppose 10*z - 5*z = 5. Suppose y - 9 = -z. Is 5 a factor of y?
False
Suppose 2*g - 4 = 3*y, 0*g + 5*g + 3*y = 10. Does 14 divide 272/20 - g/(-5)?
True
Is (0 + 3 - 3) + 16 even?
True
Let y(p) = 40*p. Is y(3) a multiple of 20?
True
Let l be 3/9*3*-5. Is 5 a factor of (-98)/l + 28/70?
True
Suppose -2*g + 128 + 0 = 0. Does 14 divide g?
False
Is (-1 - 129/(-3)) + -2 a multiple of 8?
True
Suppose -161 + 35 = -2*n. Does 22 divide n?
False
Let a = -5 - -2. Let v = a + 9. Is 3 a factor of v?
True
Suppose -4*r - 5 = 2*v + 29, 0 = -2*r - 3*v - 23. Let c(q) = -2*q + 14. Is c(r) a multiple of 10?
False
Suppose 9 = 2*j + h, 5*h = j - 2*j - 9. Is 2 a factor of j?
True
Suppose 0 = -k + 3*f + 62, 4*k + 0*f - 168 = -4*f. Suppose 0 = b + 2*c - k + 3, 156 = 4*b - 2*c. Is b a multiple of 8?
True
Let q(d) be the second derivative of 2/3*d**4 + 3/2*d**3 + 0 + 1/20*d**5 - 2*d + 0*d**2. Is q(-6) a multiple of 6?
True
Let i be ((-117)/12)/(6/(-32)). Is 1/(((-6)/i)/(-3)) a multiple of 26?
True
Let q = 7 + -3. Suppose d + 4*w = 7, -3*d + 5 = -q*w - 0*w. Suppose -99 = -d*n - 12. Does 12 divide n?
False
Let n(v) be the third derivative of v**5/30 + v**4/24 + v**3/6 - 2*v**2. Is n(2) a multiple of 3?
False
Suppose 0 = 9*n - 5*n - 36. Is n a multiple of 9?
True
Suppose -3*i - 3 = -51. Does 10 divide i?
False
Suppose 2*f = -f - 18. Let t be (-1)/((9/3)/(-3)). Is 66*t*(-3)/f a multiple of 18?
False
Let x be (-2)/6*30/(-2). Let o(c) = x - c + 32 + 5. Does 16 divide o(0)?
False
Suppose 2*k - 3 - 1 = 0. Let o = k - 2. Does 5 divide 10 + (-1 - (o - 3))?
False
Let y(t) = 7*t**2 + 5*t - 6. Let z be y(3). Suppose -3*x = -282 + z. Is 21 a factor of x?
False
Let v = 3 - 3. Let l be (v - (-1 + 0))*-2. Does 7 divide (42/(-4))/3*l?
True
Let i = -3 - -6. Suppose -i*z + 15 = 3*c, 3*z - 4*c + c + 15 = 0. Suppose 2*k = -z + 6. Is k a multiple of 2?
False
Let p = 40 + -29. Is 5 a factor of p?
False
Let o(m) = -m**3 - m + 1. Let z(w) = -2*w**3 - 3*w**2 - 5*w. Let j(f) = -3*o(f) + z(f). Is 8 a factor of j(5)?
False
Let x = 24 + -13. Let n = 30 + x. Is n a multiple of 18?
False
Let j = -2 - -26. Is j a multiple of 24?
True
Let r = -39 - -72. Let n = 39 + -40. Is 17 a factor of (r - n)*(0 - -1)?
True
Does 15 divide 6/9 - 914/(-6)?
False
Suppose 0 = -3*a + 2*a + 8. Is 14 a factor of 16/(a + -4) - -18?
False
Suppose -91 = -7*r + 6*r. Does 29 divide r?
False
Let w(r) = -39*r. Let i be w(-6). Let s = i + 3. Suppose -4*u - 5*k = -s, -4*k - 23 = 3*u - 201. Is u a multiple of 22?
False
Suppose 7*w - l - 103 = 4*w, -5*l + 165 = 5*w. Is 13 a factor of w?
False
Let c be 95/4 + 8/32. Suppose 0 = -5*j + 4*j + c. Is j a multiple of 12?
True
Suppose -2*u + 6*u - 168 = 0. Is 10 a factor of u?
False
Let p = 16 - 8. Suppose -u = 0, -3*o = -p*o + 2*u + 30. Does 4 divide o?
False
Let g = -61 + 109. Suppose 8*r - 4*r = 2*v - g, -44 = -v - 2*r. Is 17 a factor of v?
True
Does 2 divide (-642)/(-48) - ((-9)/8)/(-3)?
False
Suppose -3*m + 207 = 4*t, -4*m + 5 = 17. Does 13 divide t?
False
Suppose 0 = 5*c - 5 + 15. Does 9 divide c - 1/(3/(-60))?
True
Suppose -512 = -4*h - 136. Suppose -z - 200 = -4*u, 3*u - 56 = 5*z + h. Does 16 divide u?
False
Let z(h) = h**3 - 2*h**3 + 4*h + h + h + 5 + 5*h**2. Does 2 divide z(6)?
False
Let c(p) = 3 + p + 0*p**2 + p**2 + 0*p**2. Let m be 9 + -1 + (-2 - 2). Does 23 divide c(m)?
True
Suppose -w + 179 = 4*w + q, q = -2*w + 71. Is w a multiple of 21?
False
Let d = 275 + -185. Is d a multiple of 18?
True
Suppose -2*d - 285 = -5*d. Suppose 190 = 3*w + 2*c, 2*w + 0*w - 5*c - d = 0. Does 15 divide w?
True
Let q be (990/5)/((-6)/(-4)). Let s = q + -93. Does 13 divide s?
True
Let c be (-4)/(-14) + (-33)/(-7). Suppose -3*o - c*a = -82, -2*a = -5*o + o + 118. Is 15 a factor of o?
False
Suppose o = 3*o - 2*b - 10, 4*o + 5*b + 7 = 0. Suppose 2*f - 3*f = 3*c + 2, 3*f + o*c + 6 = 0. Is 524/28 - f/7 a multiple of 8?
False
Let k(n) = 9*n**2 - 1. Let m(g) be the first derivative of -g**4/4 + 5*g**3/3 - 5*g**2/2 + 5*g + 1. Let s be m(4). Is 8 a factor of k(s)?
True
Let u(a) = a**2 - 17*a + 6. Is 22 a factor of u(19)?
True
Let p(v) = 30*v - 30. Does 9 divide p(4)?
True
Let a(n) = n**3 + 8*n**2 - 12*n + 8. Let d be a(-9). Suppose 0 = 3*z - 4*z + d. Is z a multiple of 17?
False
Let w = 16 - 10. Does 8 divide (w/4)/((-3)/(-32))?
True
Suppose -u - 4*u = -310. Let n = -40 + u. Is 11 a factor of n?
True
Let a(p) = 24*p. Let k be a(5). Let t = k - 76. Is t a multiple of 13?
False
Let l = 123 - -21. Suppose 0 = -0*i - i + l. Suppose 5*x = -g + 110 + 67, -4*x - 2*g + i = 0. Is x a multiple of 20?
False
Suppose 0*d - 252 = -4*d. Is d a multiple of 28?
False
Let x(d) = d**3 - 7*d**2 + d - 6. Let f be x(7). Does 30 divide (-8 + f)*86/(-7)?
False
Suppose u - 3*o - 6 = 0, 3 + 9 = u - 5*o. Let k(d) = -d**2 - 6*d - 4. Let n be k(u). Suppose 4*q = i + 141, -n*q + 79 + 92 = -3*i. Is q a multiple of 11?
False
Let x be 21 + (-2 - -2 - -3). Suppose -5*z + 3*h + 69 = 6*h, 0 = -z - 4*h + x. Is z a multiple of 11?
False
Let k(t) = t**2 + t + 47. Let c be k(0). Let y = 167 - c. Suppose -55 = -5*z + y. Is 19 a factor of z?
False
Suppose 5*d = 2*d + 21. Let w = 7 + d. Is 7 a factor of w?
True
Let n = 36 + -15. Is 7 a factor of n?
True
Suppose 4*n - t - 2 = 0, 3*n + 2*t - 6*t + 5 = 0. Let h be 84 - (1 - -1)*n. Suppose 4*s - 46 = 2*a, 5*s = 2*a - 23 + h. Is 7 a factor of s?
False
Let j = -202 + 329. Suppose 0 = 5*p - j - 23. Let n = 3 + p. Is n a multiple of 16?
False
Let x(t) = t**2 + 7*t - 8. Let j(u) = -u - 2. Let b be j(5). Let m be x(b). Let q = 16 - m. Is q a multiple of 9?
False
Suppose 4*v - 29 = -13. Suppose -c = -v*c - 18. Is 7 a factor of c*12/(-9) + 2?
False
Suppose -4*z = 3*o - 301, 0 = 2*z + 2*z + 5*o - 291. Let b = 139 - z. Is b a multiple of 20?
True
Let y = 633 - 287. Is y a multiple of 56?
False
Let y(q) = -q**2 + 3*q - 1. Let c be y(7). Let v = -13 - c. Does 8 divide v?
True
Let y(w) = w**3 + 22*w**2 - 5*w - 32. Does 39 divide y(-22)?
True
Let f = 1 - 4. Is (-42)/(1 - 3) + f a multiple of 9?
True
Suppose -16 = -2*s + 82. Let b = 93 - s. Let c = 78 - b. Does 15 divide c?
False
Let q(x) = -4*x. Let a be q(-1). Suppose 2*d - 34 = -7*t + a*t, 5*t = -3*d + 58. Is t a multiple of 7?
True
Let j(n) = n + 32. Let g(w) = w**3 - 3*w**2 + 3*w - 2. Let b be g(2). Let r be j(b). Let f = 79 - r. Is 22 a factor of f?
False
Let d(o) = 0*o - 2*o + 5*o**2 + 0*o**2. Is 12 a factor of d(-2)?
True
Let j =
|
{
"pile_set_name": "DM Mathematics"
}
|
)/44 + 3
Simplify ((4 + sqrt(363) + (sqrt(363) - (2 + (sqrt(363)*-1 - sqrt(363)) + sqrt(363) - sqrt(363))) + 0)*-4)**2 + 4.
2816*sqrt(3) + 92996
Simplify 0 + (sqrt(204) + (sqrt(204) - (sqrt(204) + 4*(sqrt(204) - sqrt(204)*-2 - sqrt(204)))))/(sqrt(540)/sqrt(5))*4.
-28*sqrt(17)/3
Simplify ((-6*(sqrt(57)/sqrt(3) + -3 + sqrt(19)) + 5 + 5)*-4*6)**2.
-387072*sqrt(19) + 2027520
Simplify (sqrt(39)/(sqrt(18)/sqrt(6)) - (2*sqrt(156))/sqrt(12)) + 4.
-sqrt(13) + 4
Simplify ((sqrt(143)*1)/sqrt(11) - 5*(sqrt(13)*-1)**2)*2.
-130 + 2*sqrt(13)
Simplify (-4*(1 + (-4 + sqrt(468) + -1)*4)*-4)**2.
-233472*sqrt(13) + 2009344
Simplify -2*(sqrt(352) - (-1*(sqrt(352)*-2 - sqrt(352)) + sqrt(352) - sqrt(352)))/sqrt(8).
8*sqrt(11)
Simplify 4 + 5 + ((-4 + sqrt(242)*1)*-2)**2 + 4.
-352*sqrt(2) + 1045
Simplify -5*(-5*sqrt(10)*2)/(sqrt(288) + (sqrt(288) - (sqrt(288) - (-4*sqrt(288) - sqrt(288)))) - sqrt(2) - sqrt(2)).
-sqrt(5)
Simplify 1 + (sqrt(45) + -3*sqrt(45) - (sqrt(25) - sqrt(75)/sqrt(3))/sqrt(5)).
-6*sqrt(5) + 1
Simplify -3 + (-1 + (sqrt(3000)*-3)/sqrt(6))**2.
60*sqrt(5) + 4498
Simplify (sqrt(95)/(5*(sqrt(5) - sqrt(45))))**2 - (sqrt(684) - ((sqrt(684) - (2 + sqrt(684))**2 - sqrt(684)) + 2)).
-68581/100 - 30*sqrt(19)
Simplify (((-6*(sqrt(220) + sqrt(220) + (sqrt(220) - sqrt(220)*-2) + sqrt(220)))/sqrt(4))/(-2*-5*sqrt(180)))**2.
99/25
Simplify 6*((-2 + (sqrt(612) - (sqrt(612) + sqrt(612)*-1 + sqrt(612))))**2 - (sqrt(612) - (-3 + (sqrt(612) - (sqrt(612) + 1) - sqrt(612)))**2))*4.
1008*sqrt(17) + 15168
Simplify -2*-3*((sqrt(272) + 1 + sqrt(272))*2 + sqrt(272) - sqrt(272))**2.
384*sqrt(17) + 26136
Simplify (4*sqrt(70)/sqrt(5))/(sqrt(14)/sqrt(2)*-1).
-4*sqrt(2)
Simplify ((sqrt(130) + 4*(sqrt(130) + sqrt(130)*-5))/(sqrt(160) - (sqrt(160) - sqrt(160)*4) - sqrt(160)) + 4)**2.
-10*sqrt(13) + 581/16
Simplify (3 + ((-4*(sqrt(68)*1 + sqrt(68)) - sqrt(68) - sqrt(68) - sqrt(68) - sqrt(68))*6)/(-4*(sqrt(64) + -2*sqrt(64))))**2.
-27*sqrt(17) + 1413/4
Simplify (3 + 6*(-2 + sqrt(76)))**2 + -3.
-216*sqrt(19) + 2814
Simplify (sqrt(20)/(sqrt(4)*-1))**2 + -5 + 6*(sqrt(5) + sqrt(20)*3).
42*sqrt(5)
Simplify 0 + 3 + (-5 + sqrt(209)/(sqrt(33)/sqrt(3)) + (sqrt(19) + 1 + sqrt(304) + sqrt(19))*-3)**2.
272*sqrt(19) + 5558
Simplify -3 + 6*(sqrt(156) + (sqrt(156) + 2*sqrt(156))*-1)/(sqrt(1452) + (1*sqrt(1452) - sqrt(1452)) + sqrt(1452) - sqrt(1452)) + -1.
-4 - 12*sqrt(13)/11
Simplify (0 + sqrt(3))**2*-6 + -4 + (sqrt(3) - (sqrt(243) + -2))**2*3.
-96*sqrt(3) + 566
Simplify ((sqrt(833) + 2)*-6)**2 + ((sqrt(51)*2)/sqrt(3) - (-2*sqrt(2448) + sqrt(17)))**2.
1008*sqrt(17) + 40757
Simplify (-1*sqrt(304)*-2)**2 + -3 - (4*sqrt(475)*2 + (sqrt(475) - (3 + -1*sqrt(475))**2)).
-75*sqrt(19) + 1697
Simplify sqrt(175) + (3*sqrt(175)*-6 - sqrt(175)) + sqrt(175) + sqrt(42)/(1*sqrt(600) + sqrt(600)).
-1699*sqrt(7)/20
Simplify (-5*sqrt(5600)*1)/(sqrt(72) - (sqrt(72) - (sqrt(72) + -6*2*sqrt(72) + sqrt(72)))).
5*sqrt(7)/3
Simplify sqrt(16)/sqrt(2) + (-2*sqrt(10)/sqrt(5))**2 - (-1 + (3*sqrt(2)*1 - sqrt(2) - (sqrt(2) - sqrt(18)/(1*sqrt(9))))).
9
Simplify -5 + (-1 + sqrt(637) + 0)*4.
-9 + 28*sqrt(13)
Simplify (2 + sqrt(539) - sqrt(539))*4 - (sqrt(44) + -1 + -3).
-2*sqrt(11) + 12
Simplify 2*((sqrt(468)*-1 - sqrt(13))**2 + sqrt(13) + -1 + -2 + (sqrt(1300)*1)**2 + 0).
2*sqrt(13) + 3868
Simplify 1*sqrt(704)*-1 + (-3*(sqrt(44) - sqrt(11)) - sqrt(539)*2)**2.
-8*sqrt(11) + 3179
Simplify -5*(-1 + (2*(-5 + 2*sqrt(539) + sqrt(539)))**2 + -5).
-97490 + 4200*sqrt(11)
Simplify 4*4*(-4*(sqrt(77) - 2*sqrt(77)) - sqrt(77))/(sqrt(99)*6).
8*sqrt(7)/3
Simplify (sqrt(1584) + -1*(sqrt(1584) - (sqrt(1584)*-2 + sqrt(1584))) - 5*1*sqrt(55)/sqrt(5))**2.
3179
Simplify 1*(-2 + sqrt(1584) + 1*sqrt(1584) + 5 + 4 + 1 + sqrt(1584))**2*-3.
-42960 - 1728*sqrt(11)
Simplify 4*((sqrt(20) + 2)**2*6 + -1)*1.
192*sqrt(5) + 572
Simplify ((sqrt(91) + -3*sqrt(91))*5)/(-3*sqrt(343) + sqrt(343)).
5*sqrt(13)/7
Simplify (-1 + sqrt(1100) + 2 + sqrt(1100) - (3*sqrt(1100) + -1))**2.
-40*sqrt(11) + 1104
Simplify (sqrt(80)/(sqrt(44)/(sqrt(66)/sqrt(6))))/(sqrt(48)/(sqrt(84)/sqrt(7)*-6)).
-6*sqrt(5)
Simplify 0 + -2 + (-1 + sqrt(243)*3 + 0)**2 + 4.
-54*sqrt(3) + 2190
Simplify (((0 + sqrt(432) + 1)*-3)**2 + 5)*-5.
-19510 - 1080*sqrt(3)
Simplify (5*5*(((sqrt(1872)*-1 - sqrt(1872))*-3 - sqrt(1872)) + -5))**2.
-375000*sqrt(13) + 29265625
Simplify (sqrt(19) + (2*sqrt(19)*-1)**2 + sqrt(19))*4 + 4 + sqrt(2736) + 0.
20*sqrt(19) + 308
Simplify sqrt(297)/(sqrt(11)*1) + sqrt(120)/(sqrt(10) - -2*sqrt(10) - sqrt(10)).
4*sqrt(3)
Simplify ((sqrt(108) + -4 + sqrt(108))*-2 + sqrt(108))**2 + -1 + sqrt(108)*2.
-276*sqrt(3) + 1035
Simplify ((sqrt(266)*2)/sqrt(7))/(sqrt(72)/sqrt(9)) + -3.
-3 + sqrt(19)
Simplify -2 + sqrt(56)/(sqrt(512) - (2*sqrt(512) - sqrt(512) - sqrt(512))) + sqrt(63)/(sqrt(225)*2).
-2 + 9*sqrt(7)/40
Simplify (4 + sqrt(13) + -2 + -3 + sqrt(13))**2 + 4 + (2 + sqrt(52))**2 + sqrt(13).
5*sqrt(13) + 113
Simplify -1 + (sqrt(832) + 2*sqrt(832) + sqrt(832) - sqrt(832))**2*1 + (sqrt(832) + 2)*-5.
-40*sqrt(13) + 7477
Simplify (-4*(3 + 2*(sqrt(7488) + 2 + sqrt(7488)))*2)**2.
86016*sqrt(13) + 7670848
Simplify (sqrt(108)*-2*-1 - (sqrt(108) - (sqrt(108) - (1 + (sqrt(108) + 1)**2)) - sqrt(108)))*2.
-220 + 12*sqrt(3)
Simplify (sqrt(30) + sqrt(240)/(sqrt(8) - sqrt(8)*-1))/(sqrt(810)*-2 - sqrt(810) - sqrt(810))*5.
-5*sqrt(3)/24
Simplify (sqrt(1872) + 0)*3 + sqrt(1872) + (sqrt(13) - (1 + sqrt(1053) - sqrt(1053))) + sqrt(117)/(sqrt(9) - sqrt(36)).
-1 + 48*sqrt(13)
Simplify (sqrt(228)*2*-3 + sqrt(228) - 5*sqrt(228)*-1)/(-1*2*sqrt(12) + sqrt(12)*-1*-1)*-5.
0
Simplify -3*(-4 + ((sqrt(88) - sqrt(88)*-1)*-5 - sqrt(88))/(sqrt(8) + (sqrt(392) - sqrt(392)*2))).
-11*sqrt(11)/2 + 12
Simplify 3 + sqrt(112)*-2 - (sqrt(7) + 5 + sqrt(7) + 1)*4.
-16*sqrt(7) - 21
Simplify (1*sqrt(275) + 0 + (sqrt(891) - -1*sqrt(891))*3)**2.
38291
Simplify (sqrt(147) + -3 + -4 + sqrt(147))**2*6 - (((sqrt(147) + 1)*-2)**2 + -2*sqrt(147)*-6 + sqrt(147)).
-1323*sqrt(3) + 3230
Simplify (sqrt(720) + -1*sqrt(720) + 2 - (sqrt(720) + (sqrt(720) + 1 - sqrt(720)) + -5))**2 + 3.
-144*sqrt(5) + 759
Simplify 2*(-1 + sqrt(1088))*-6 - (-6*-1*(sqrt(612) + 0))**2.
-22020 - 96*sqrt(17)
Simplify 6*(-4*(sqrt(2) + (sqrt(2)*2 - sqrt(2))))**2 + (sqrt(14) - (sqrt(126) - (sqrt(126) + 1*sqrt(126))))/sqrt(7).
4*sqrt(2) + 768
Simplify -3 + 5*(-1 + sqrt(147)) - (1*sqrt(108) - (5*(sqrt(3) + sqrt(21)/sqrt(7)))**2).
29*sqrt(3) + 292
Simplify -4*((sqrt(24) - (sqrt(3456) - (sqrt(3456) + 2*sqrt(3456)))) + sqrt(24))/sqrt(12) - (sqrt(98)*-1 + -3 + -2).
-97*sqrt(2) + 5
Simplify ((3 + 4 + sqrt(252) + -3 + -3 + -3 + sqrt(252))*5)**2.
-1200*sqrt(7) + 25300
Simplify (2*sqrt(2)*-2 - -1*sqrt(50))**2 + ((sqrt(8) - (sqrt(48)/sqrt(6) - sqrt(8)) - sqrt(8))**2 - sqrt(12)/sqrt(6)*-1).
sqrt(2) + 2
Simplify (0 + sqrt(1053))**2*6*3 + (sqrt(1053) - (sqrt(1053)*-2 + 4) - 5*(-1 + sqrt(1053))).
-18*sqrt(13) + 18955
Simplify (5*(-5 + sqrt(612)*1))**2 - (-1 + sqrt(612) + (4 + sqrt(612) + -1)**2).
-1542*sqrt(17) + 15305
Simplify 3*2*(sqrt(32) + 3*sqrt(128) - -6*(sqrt(32) + 0)).
312*sqrt(2)
Simplify ((((sqrt(175) - (0 + sqrt(175) - sqrt(175))) + 4)*-1 + -1 + 6*(sqrt(175) - sqrt(175)*-1))*4)**2.
-8800*sqrt(7) + 339200
Simplify 1 + -3*((-5 + sqrt(171) + 1 - (((2*sqrt(171) - sqrt(171)) + sqrt(171))*1 + sqrt(171)))*-2)**2.
-8399 - 576*sqrt(19)
Simplify ((sqrt(153)*-2 + sqrt(153))*2)/(5*4*sqrt(9)).
-sqrt(17)/10
Simplify ((-5 + sqrt(1872) + -1 + sqrt(1872) + sqrt(1872) - sqrt(1872)) + (5 + 1*sqrt(13))*1)**2 + 0.
-50*sqrt(13) + 8126
Simplify (-4 + sqrt(242) + (sqrt(242) - (0 + 2*sqrt(242))) + sqrt(242) + (sqrt(242) + 2*sqrt(242) - sqrt(242)) + 3)**2 + -3.
-66*sqrt(2) + 2176
Simplify -5*((sqrt(84)/(sqrt(7)*-2) - (5 + sqrt(12) + sqrt(48)/sqrt(4))**2) + 3).
350 + 205*sqrt(3)
Simplify (6*(sqrt(156) + sqrt(156)*-1) + (sqrt(156) - -3*-1*sqrt(156)))/(sqrt(144)/(sqrt(432)*3)).
-36*sqrt(13)
Simplify (1*sqrt(42)/sqrt(6) - (sqrt(175) + 1)**2) + 2*sqrt(63)/(sqrt(324) + (sqrt(324)*2 - sqrt(324))).
-176 - 53*sqrt(7)/6
Simplify 4 + (((sqrt(768)*-1 - sqrt(768)) + -5)*-5 + -4)**2.
6720*sqrt(3) + 77245
Simplify (-5*(1 + 3*(3 + sqrt(5))*-1)*-5)**2.
30000*sqrt(5) + 68125
Simplify (-3*(-2 + (sqrt(1331) - sqrt(1331)*2) - 1*(sqrt(1331) + 3)))**2*2.
3960*sqrt(11) + 96282
Simplify 1*(sqrt(147) + -2*(-2*sqrt(147) - sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
n.
-3
Solve -10 - 12 = -22*t for t.
1
Solve -5*q = 2*q - 7 for q.
1
Solve 610*v - 6 = 612*v for v.
-3
Solve 2*n - 17*n + 30 = 0 for n.
2
Solve 3*m - 27 = -6*m for m.
3
Solve 0 = -32*v + 39*v - 28 for v.
4
Solve 11*t + 7 = -15 for t.
-2
Solve 14*v + 34 = -36 for v.
-5
Solve 8*n - 55 = -79 for n.
-3
Solve l - 4 = -0*l for l.
4
Solve -9*k = 38 - 11 for k.
-3
Solve 0 = 4*n - 7*n - 9 for n.
-3
Solve -j - 4*j + 10 = 0 for j.
2
Solve -2*p - 19 = -9 for p.
-5
Solve -376*g + 24 = -368*g for g.
3
Solve -27*x = -9*x for x.
0
Solve 0 = -4*d - 26 + 34 for d.
2
Solve 19*i = -10*i - 290 for i.
-10
Solve -v + 145 = 139 for v.
6
Solve f - 5*f = 2*f for f.
0
Solve -7*u + 1959 - 1903 = 0 for u.
8
Solve -10*q + 5*q = -25 for q.
5
Solve -2*s + 6*s = -0*s for s.
0
Solve 8*x = 66*x - 348 for x.
6
Solve -14*a + 64*a = 200 for a.
4
Solve -10*s - 60 = 20*s for s.
-2
Solve -1042*d = -1053*d + 22 for d.
2
Solve -7*x = -12*x + 20 for x.
4
Solve -227 + 217 = -10*h for h.
1
Solve -11*o + 14*o - 12 = 0 for o.
4
Solve 138 - 156 = 6*n for n.
-3
Solve c = 1 + 5 for c.
6
Solve 280 - 98 = -26*v for v.
-7
Solve 0 = -5*f - 64 + 79 for f.
3
Solve -12*z = 18 - 6 for z.
-1
Solve -100*g + 16 = -96*g for g.
4
Solve 19*y = 12 - 31 for y.
-1
Solve -6*s + s = 15 for s.
-3
Solve 0*n = 10*n - 10 for n.
1
Solve -10*k = -11*k - 1 for k.
-1
Solve 225*v - 64 = 241*v for v.
-4
Solve 8*h + 10 = -6 for h.
-2
Solve 8*r = -r + 18 for r.
2
Solve -7*t = -69 + 20 for t.
7
Solve -4 = -2*o - 14 for o.
-5
Solve 28*a - 33*a = 15 for a.
-3
Solve 0 = -111*j + 253 + 80 for j.
3
Solve 2*x = -3*x + 10 for x.
2
Solve -14*l - 684 + 558 = 0 for l.
-9
Solve 0*z = 30*z + 90 for z.
-3
Solve 0 = 5*q - 22 + 2 for q.
4
Solve 0 = t + 1 - 6 for t.
5
Solve -f - 6 = -4*f for f.
2
Solve -42*r - 282 = -240 for r.
-1
Solve 72 - 65 = -t for t.
-7
Solve 18*w + 10*w = -168 for w.
-6
Solve 36 + 4 = 8*l for l.
5
Solve 0 = -h + 7 - 2 for h.
5
Solve -53*x = -160*x - 1177 for x.
-11
Solve -13*n + 169 - 104 = 0 for n.
5
Solve 0 = 6*i + 25 + 5 for i.
-5
Solve 99*x = 95*x + 20 for x.
5
Solve 0 = -4*q + 9*q - 10 for q.
2
Solve 2*o = 7*o + 25 for o.
-5
Solve 0 = -5*c + 20 - 0 for c.
4
Solve 1233*q - 1225*q = -8 for q.
-1
Solve j + 1 + 1 = 0 for j.
-2
Solve 40*r - 160 = -0*r for r.
4
Solve 0 = -5*f - 7 + 27 for f.
4
Solve 9*h - 139 + 130 = 0 for h.
1
Solve -25*b + 69 - 19 = 0 for b.
2
Solve -6*n + 173 - 191 = 0 for n.
-3
Solve -2*r = -10 + 14 for r.
-2
Solve 36 - 26 = -5*a for a.
-2
Solve 0 = 52*p - 50*p + 10 for p.
-5
Solve 33*m - m + 160 = 0 for m.
-5
Solve 23 + 2 = -5*n for n.
-5
Solve -35*p + 86 + 54 = 0 for p.
4
Solve 209*v + 12 = 215*v for v.
2
Solve -54*h = 12*h - 132 for h.
2
Solve 49 = -34*p - 53 for p.
-3
Solve 47*v + 410 = -35*v for v.
-5
Solve 0 = -5*o - 21 + 16 for o.
-1
Solve -35*g - 76 = -54*g for g.
4
Solve 649 - 616 = 11*b for b.
3
Solve 21 = 6*r + 27 for r.
-1
Solve -76*b + 32*b + 264 = 0 for b.
6
Solve -6*i - 6 = -9*i for i.
2
Solve -2*v = -4 - 2 for v.
3
Solve -43*q = -90*q - 376 for q.
-8
Solve -305 = -56*w - 25 for w.
5
Solve -1 + 21 = -10*j for j.
-2
Solve 24*w + 13*w = -37 for w.
-1
Solve 318 = 5*t + 308 for t.
2
Solve 12*k - 51 = -63 for k.
-1
Solve -5*u + 3*u = u for u.
0
Solve 265*g = 262*g + 9 for g.
3
Solve 0 = -18*w + 23*w + 45 for w.
-9
Solve -40*d = 12 + 68 for d.
-2
Solve 0 = -48*k + 103 - 7 for k.
2
Solve -24*c - 68 = 124 for c.
-8
Solve 0 = -7*h + 18 - 25 for h.
-1
Solve 40*d + 280 = -16*d for d.
-5
Solve -8*q - 33 = 7 for q.
-5
Solve 0 = 4*x - 40 + 24 for x.
4
Solve 13*x - 73 = -190 for x.
-9
Solve 247*i = 319*i - 288 for i.
4
Solve -3*y - 2 + 8 = 0 for y.
2
Solve -39*j + 31*j = 40 for j.
-5
Solve 0 = -13*k + 8 + 96 for k.
8
Solve -51*d = -53*d - 6 for d.
-3
Solve -46 = -2*j - 40 for j.
3
Solve -49*a - 302 + 106 = 0 for a.
-4
Solve 4907*h = 4916*h - 18 for h.
2
Solve -1 = -6*y + 5*y for y.
1
Solve 5*s + 50 = 45 for s.
-1
Solve -4*m + 12*m + 8 = 0 for m.
-1
Solve 0 = 20*y - 18 - 142 for y.
8
Solve -38*h = -31*h - 28 for h.
4
Solve -50 = -4*i - 34 for i.
4
Solve 294*x - 291*x = -9 for x.
-3
Solve 9*n - 4*n = 5 for n.
1
Solve 0 = -8*u + 15*u + 28 for u.
-4
Solve 0 = 3*i + 24 - 36 for i.
4
Solve -42*t + 49*t + 35 = 0 for t.
-5
Solve 27*x - 58 = -31*x for x.
1
Solve 3*p - 4 = 5 for p.
3
Solve 226 = -5*v + 236 for v.
2
Solve -208*d = -200*d - 32 for d.
4
Solve 117 = -11*l + 117 for l.
0
Solve -3*u = -8*u + 5 for u.
1
Solve 0 = 15*l + 20*l for l.
0
Solve -5*b = 11 + 4 for b.
-3
Solve -8*s + 7*s = 3 for s.
-3
Solve m + 49 - 41 = 0 for m.
-8
Solve c + 2 = 6 for c.
4
Solve -7*t = -4*t - 15 for t.
5
Solve 57*g + 88 = 13*g for g.
-2
Solve -21*m - 40 = -31*m for m.
4
Solve -33*h + 33 = -198 for h.
7
Solve t - 15 = 6*t for t.
-3
Solve -19 - 9 = 7*g for g.
-4
Solve -7*v + 497 = 483 for v.
2
Solve 24*z - 13*z + 88 = 0 for z.
-8
Solve 0 = 15*p - 1 + 61 for p.
-4
Solve 0 = -8*w + 8*w + 11*w for w.
0
Solve 48 = 3*w - 15*w for w.
-4
Solve 0 = -12*h - 22*h + 68 for h.
2
Solve 12*n - 8*n = 8 for n.
2
Solve -3*f + 13*f - 20 = 0 for f.
2
Solve -4*f - 2796 = -2800 for f.
1
Solve 25*o = -75 + 200 for o.
5
Solve 216 = 2*d + 25*d for d.
8
Solve 10849 = 5*k + 10854 for k.
-1
Solve 1417 = -121*h + 207 for h.
-10
Solve -j - 261 + 254 = 0 for j.
-7
Solve 30*s - 70 + 40 = 0 for s.
1
Solve -14 = -40*l + 26 for l.
1
Solve 8*d - 4*d - 20 = 0 for d.
5
Solve -5*q = -3571 + 3546 for q.
5
Solve -6*x + 11 = -13 for x.
4
Solve 0 = -3*j + 2 - 8 for j.
-2
Solve -32 = 14*f - 22*f for f.
4
Solve -9*s - 3 = 33 for s.
-4
Solve 35*t = 54 - 19 for t.
1
Solve -352 = 41*k - 129*k for k.
4
Solve 15 = -10*y + 35 for y.
2
Solve -68*h = -77*h for h.
0
Solve 29 = 24*a + 77 for a.
-2
Solve 11*v = -196 + 251 for v.
5
Solve -2*a = -4*a + 8 for a.
4
Solve 12*i - 9*i - 6 = 0 for i.
2
Solve -44*a = -30*a + 154 for a.
-11
Solve 19 = -4*k + 35 for k.
4
Solve 4 = 9*o - 23 for o.
3
Solve -27*t + 22*t - 25 = 0 for t.
-5
Solve 0 = 3*g - 0*g + 12 for g.
-4
Solve 62*g + 10 = 60*g for g.
-5
Solve -109*s - 21 = -106*s for s.
-7
Solve 2*s - 10 + 4 = 0 for s.
3
Solve 45*n + 95 = -40 for n.
-3
Solve j = 21 - 17 for j.
4
Solve -2039*o = -2037*o + 16 for o.
-8
Solve -135*q = -146 - 259 for q.
3
Solve 0 = 15*m - 23*m + 24 for m.
3
Solve 78 + 12 = -30*n for n.
-3
Solve 8*x = 5*x + 15 for x.
5
Solve -23*z + 200 = 17*z for z.
5
Solve 0*v - 3*v = 0 for v.
0
Solve -52 + 32 = -4*b for b.
5
Solve -11 - 64 = -15*g for g.
5
Solve 10*n + 30 = -0*n for n.
-3
Solve -19*n = 11 + 8 for n.
-1
Solve -58 = -15*y + 17 for y.
5
Solve -18 = 19*q - 10*q for q.
-2
Solve -7*q = 236 - 187 for q.
-7
Solve 0 = 24831*n - 24824*n - 21 for n.
3
Solve -6*s + 0 = 12 for s.
-2
Solve 7*s + 1111 = 1139 for s.
4
Solve -14*s = -25*s + 33 for s.
3
Solve 81*v + 805 = 238 for v.
-7
Solve -19*b = -23*b - 20 for b.
-5
Solve -66*t - 36 = -78*t for t.
3
Solve -23*t + 21*t = 6 for t.
-3
Solve 65*j + 70*j = 1485 for j.
11
Solve 18*c - 123 = 57 for c.
10
Solve -2*a - 2 - 4 = 0 for a.
-3
Solve -77*k + 90 = -92*k for k.
-6
Solve 6*c = 9*c for c.
0
Solve -158 = 71*v - 513 for v.
5
Solve -51*n + 142 = 20*n for n.
2
Solve 23*v - 32*v + 45 = 0 for v.
5
Solve 135*k = 22*k for k.
0
Solve -5*y = 16 - 11 for y.
-1
Solve -7*u + 19 = -26*u for u.
-1
Solve -14*r + 45 = r for r.
3
Solve -13 = 3*z - 4 for z.
-3
Solve r = 10 - 9 for r.
1
Solve 25 = -16*t - 55 for t.
-5
Solve 3*h + 35 = -4*h for h.
-5
Solve 5 - 25 = 4*a for a.
-5
Solve -513 = 92*o - 35*o for o.
-9
Solve 3*t = 41 - 53 for t.
-4
Solve 19*m - 15*m + 32 = 0 for m.
-8
Solve -75*z + 87*z = -12 for z.
-1
Solve b = -b - 2 for b.
-1
Solve -51 - 121 = -86*t for t.
2
Solve -3*k = 11 + 1 for k.
-4
Solve 0 = -7*f + 2*f - 10 for f.
-2
Solve -8*i + 36 = 4 for i.
4
Solve -5*f + 3 = 13 for f.
-2
Solve 0 = 49*o - 33*o for o.
0
Solve 12 = -d - 11*d for d.
-1
Solve 1 + 7 = -2*h for h.
-4
Solve 110*v - 105*v + 20 = 0 for v.
-4
Solve 0 = -23*n + 28*n + 25 for n.
-5
Solve 15*r = 13*r + 2 for r.
1
Solve -207 = d - 205 for d.
-2
Solve 40*j - 95*j = -55 for j.
1
Solve -10 = -17*c - 112 for c.
-6
Solve -4*r = -9*r + 15 for r.
3
Solve -4 = -5*j + 1 for j.
1
Solve -8*o + 18 = -5*o for o.
6
Solve 4*m = 7*m - 15 for m.
5
Solve 23*t + 18 = 14*t for t.
-2
Solve 26 + 4 = -6*t for t.
-5
Solve 5*o - 9*o + 8 = 0 for o.
2
Solve -106*h = -96*h + 20 for h.
-2
Solve -b = 1 - 3 for b.
2
Solve 2*k + 25 = 29 for k.
|
{
"pile_set_name": "DM Mathematics"
}
|
*5.
2333216235
What is -0.38 times 4.31391?
-1.6392858
5 * -1204941
-6024705
5160331 * -4
-20641324
What is 85.4 times 134.79?
11511.066
Work out 6547802 * 0.07.
458346.14
What is 243 times -0.428036?
-104.012748
Work out 0.8 * -15.8814.
-12.70512
24 times -1122289
-26934936
-5 times 6393833
-31969165
-2582 * -66847
172598954
What is the product of 0.0017 and -50830?
-86.411
Work out 10 * -412.662.
-4126.62
Multiply -14654620 and 0.1.
-1465462
Work out -17.388328 * -2.
34.776656
Multiply -0.4 and -8320761.
3328304.4
Calculate 0.099*2.204602.
0.218255598
What is the product of 15 and -10.50343?
-157.55145
-1 * -57045726
57045726
What is the product of -781 and 45.043?
-35178.583
What is -2112 times -246038?
519632256
Calculate -14118*6.06.
-85555.08
1.1 times -0.0167632
-0.01843952
What is -0.1 times -86474.593?
8647.4593
What is the product of -0.09 and 342553?
-30829.77
-808464741*0.2
-161692948.2
Work out -152 * 540054.
-82088208
What is the product of 2008 and -80763?
-162172104
Work out -103.5 * -37.78.
3910.23
Product of -0.8 and 23814.53.
-19051.624
Work out 0.5 * 28074621.
14037310.5
-2355081*-0.2
471016.2
Multiply -48.6676 and 0.1.
-4.86676
Calculate 0.0534*0.009654.
0.0005155236
Multiply -1605633652 and -2.
3211267304
What is -113088 times -0.0162?
1832.0256
-165 times -91.553
15106.245
Calculate 0.4*-11673225.
-4669290
Work out 16015466 * -0.4.
-6406186.4
0.08221 * 365
30.00665
What is the product of 7690 and -17633?
-135597770
Multiply 23 and 7779.473.
178927.879
30 * 193.9012
5817.036
What is the product of -0.1 and 768629?
-76862.9
Product of -1481308 and 0.6.
-888784.8
1.46956 * 264
387.96384
Calculate 31012*-1359.
-42145308
What is the product of -4991 and -0.080435?
401.451085
-1681622*9
-15134598
What is -0.14540165 times 0.05?
-0.0072700825
Calculate -235988.97*-0.2.
47197.794
151219*-1.56
-235901.64
25.15203*-0.16
-4.0243248
What is 94283 times 75.4?
7108938.2
609356*31.2
19011907.2
-2746746*-1
2746746
Multiply 1681695 and -0.1.
-168169.5
Product of -7 and -1763681.
12345767
Multiply 13240 and -2956.4.
-39142736
Work out -0.187274 * -0.012.
0.002247288
6980 times -4068
-28394640
Multiply -39 and -46.5171.
1814.1669
Multiply 81269.2 and -174.
-14140840.8
Product of -11160126 and 0.3.
-3348037.8
Product of 0.1 and 118606.
11860.6
Multiply 0.20584 and 2020.
415.7968
Work out -88 * 0.264741.
-23.297208
What is the product of 675 and -20.016?
-13510.8
-28.42*2.3476
-66.718792
Work out -47223350 * 0.2.
-9444670
What is -5.2178 times -0.0849?
0.44299122
What is 667.249 times 31?
20684.719
0.015011 * -13
-0.195143
What is the product of -0.06525628 and 0.1?
-0.006525628
-0.32024 times -0.2
0.064048
-18 times -0.0537499
0.9674982
Product of 0.4114 and 1540.
633.556
0.0643635 * -2.6
-0.1673451
Multiply 13742 and 1.2242.
16822.9564
Work out 11601 * -2958.
-34315758
3.907*-0.0093
-0.0363351
Calculate 0.6878805*-2.
-1.375761
Multiply -4.9192203 and 0.1.
-0.49192203
Product of 0.14 and -140503.
-19670.42
Multiply 0.0892 and -122809.
-10954.5628
Work out -96051 * 148.
-14215548
Product of -0.022058662 and 0.06.
-0.00132351972
-2627.3 * -7.96
20913.308
4 * -607386.2
-2429544.8
0.5 times -26192752
-13096376
Work out -232 * 18892.
-4382944
-40*-0.066448
2.65792
Work out -5.1653 * 2146.
-11084.7338
-18318 times -5152
94374336
Multiply 5 and 1691920.
8459600
0.28 times 297.5894
83.325032
-0.1212123147 times 0.2
-0.02424246294
Product of -0.015 and -27.2402.
0.408603
What is the product of -0.41369233 and -2?
0.82738466
-0.064 times 0.06311
-0.00403904
What is the product of -0.11 and -0.1011855?
0.011130405
Multiply -1 and 4119325.7.
-4119325.7
Calculate 8485*-37987.
-322319695
What is the product of -122052 and 4.2?
-512618.4
-40163 times 5220
-209650860
1208 * -66914
-80832112
-0.081570589*-0.1
0.0081570589
Work out -509579857 * 0.3.
-152873957.1
What is the product of 0.2269 and -1.152?
-0.2613888
What is the product of 1.6185 and -0.279?
-0.4515615
Work out 23 * 2.598185.
59.758255
What is -25.938 times 0.2443?
-6.3366534
Product of 3491221 and -0.22.
-768068.62
3394*323.1
1096601.4
What is 1044710 times 13?
13581230
7941448 times 4
31765792
297 times 27.568
8187.696
What is 1567 times -1.8476?
-2895.1892
What is -0.1 times -845339?
84533.9
Calculate 26355*-0.1962.
-5170.851
-0.2897881 * -2
0.5795762
Product of 0.628434 and 6.
3.770604
Multiply -6 and -2517995.
15107970
Multiply 0.2 and -3235648.
-647129.6
9632.34 * -7.1
-68389.614
Product of -0.12396399 and 0.6.
-0.074378394
Product of -136 and -874.211.
118892.696
What is the product of -0.00874307 and 0.3?
-0.002622921
135 * -1261995
-170369325
What is -1.9 times 8534921?
-16216349.9
134813 times 326
43949038
Multiply -17 and -305968.
5201456
Work out -4859 * -51261.
249077199
-0.1 * -5.815594
0.5815594
Product of -0.4 and 197398966.
-78959586.4
What is -17402 times 1306?
-22727012
Multiply -1205580 and 0.12.
-144669.6
-5*-752.527
3762.635
What is -7785.69 times 7?
-54499.83
What is the product of 62.346543 and -2?
-124.693086
Work out -1470752 * 8.
-11766016
Calculate 36.68*-1089.
-39944.52
Product of -0.3124087 and -8.
2.4992696
Multiply -46230 and -83.
3837090
What is -899.3 times -56728?
51015490.4
69 * -670766
-46282854
Product of 11.8 and 1929011.
22762329.8
Calculate 0.2*1004377.
200875.4
Calculate 0.4*0.937896.
0.3751584
-179.374958 times 0
0
What is the product of -2.5 and 231099?
-577747.5
What is -89551.4 times 324?
-29014653.6
Calculate -802*0.364274.
-292.147748
What is 1.24 times -10878?
-13488.72
0.261 times 138.11
36.04671
-765118 * -0.5
382559
-34689 times -0.05
1734.45
What is the product of 27355028 and 3?
82065084
3*-875649
-2626947
Work out 932 * 133.12.
124067.84
Multiply 0.11114 and 7224.
802.87536
-0.6*303550
-182130
Product of 1.525 and 1194.67.
1821.87175
-28.8*348.3
-10031.04
1.234*-91059
-112366.806
Product of -728.2 and -6232.
4538142.4
Calculate -22548.16*-0.108.
2435.20128
What is -24.3 times -0.1258391?
3.05789013
Work out -1.9 * -3382689.
6427109.1
Multiply -0.582 and 1033748.
-601641.336
Product of 0.00394 and -602.52.
-2.3739288
Work out 9012.5 * 361.
3253512.5
-38.131 times 172
-6558.532
What is 0.041317506 times 4?
0.165270024
Calculate -0.5*265.0139.
-132.50695
Calculate 727668*-55.
-40021740
1.55275859*-0.4
-0.621103436
Calculate 468842*104.
48759568
Calculate -84761*1.42.
-120360.62
1.032 * 19475
20098.2
-35825.28 times 0.3
-10747.584
-0.02528 * -4366
110.37248
0.33066 * 0.058
0.01917828
0.03556 times -1.03287
-0.0367288572
1661 * 5688
9447768
108 * -85205.7
-9202215.6
Work out 0.7 * 0.480855.
0.3365985
Work out 48160 * -4.8.
-231168
What is 1.3 times 1.705622?
2.2173086
Multiply 1320 and -39.
-51480
Multiply -85062 and 0.1.
-8506.2
Product of -2752532 and -0.245.
674370.34
-314321113 times 0.2
-62864222.6
Multiply 9690091 and -1.1.
-10659100.1
3702074.8 times 0.3
1110622.44
-1024195*0.13
-133145.35
Product of -5 and 51425051.
-257125255
Product of -2.86 and 12785.
-36565.1
384470829 times 0.4
153788331.6
Work out 6.1 * 98.0507.
598.10927
Calculate -6*-0.001600324.
0.009601944
What is 11268 times -0.0328?
-369.5904
Calculate -347029*110.
-38173190
Calculate -4611*-266.1.
1226987.1
70*3265403
228578210
Work out 0 * -97814.15.
0
Multiply 0.2 and 7.913545.
1.582709
Work out -3.03219 * -107.
324.44433
Product of 159996 and 322.
51518712
7319 * -97064
-710411416
Multiply -5 and -96291.46.
481457.3
What is the product of -35496739 and 1.7?
-60344456.3
856 * 0.3172
271.5232
Product of -674294 and -0.24.
161830.56
-61723044 * 1
-61723044
Work out -5 * -218.38356.
1091.9178
Calculate 6.17535*-14.
-86.4549
What is the product of 19 and -159173?
-3024287
-1.68 * -29983
50371.44
Multiply -2 and 24.91153.
-49.82306
What is the product of 0.7 and 14826082?
10378257.4
Multiply -2069.46037 and 2.
-4138.92074
Calculate 3.6694*3.2.
11.74208
Calculate -33*-42599.
1405767
Product of -2507 and -121.164.
303758.148
What is 116647 times 9?
1049823
Multiply 943402 and -88.3.
-83302396.6
What is the product of 0.1 and 3603443?
360344.3
2060 * 6482
13352920
-26057 times 218.4
-5690848.8
Multiply -13.6 and 7804.03.
-106134.808
Product of 1.48 and -8546855.
-12649345.4
Product of 997381.3 and 3.
2992143.9
108377 * 0.25
27094.25
What is -101881 times 1972?
-200909332
Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
37) + (6 - 35).
-14
Evaluate 3 + 9 + (-50 - -56).
18
Calculate (6/(-14))/(128/512).
-12/7
What is the value of 1/(-4)*2 - (-35013)/2122?
16
Calculate 52 + (-7313)/142 + 1*(-66)/4.
-16
What is the value of 6 + ((-43)/6 - -1)?
-1/6
What is the value of (-75)/90 - ((-1911)/630 + (3 - 1))?
1/5
What is the value of 2/10 + (-112)/(-40) - (95 - 89)?
-3
((-1240)/(-1116))/(4/(-9))*-14
35
What is (-8)/18 + (-7720)/1158 + (-340)/18?
-26
Evaluate ((-261)/(-116))/(4/16).
9
Calculate -24 - -44 - 1166/55.
-6/5
What is -6 - -1*((-1104)/(-144))/((-8)/(-6))?
-1/4
Evaluate (-40)/7*98*(-51)/1428.
20
71/(-781) + 333/33
10
What is the value of (39 + -40)/(-4 - 33/(-2))?
-2/25
(3/(-1) - 102/(-17))/(18/(-8))
-4/3
What is the value of (-17 - (-8700)/380) + 12/(-2)?
-2/19
Calculate ((-861)/(-14) - 74)*((-2)/(-1))/1.
-25
Evaluate ((-4)/(-3))/((-344)/24)*(-2)/4.
2/43
((-2)/(-4))/(18/(-4))*(172 + -175)
1/3
What is the value of (532/(-70))/(5*(-9)/225)?
38
What is the value of (-4)/(-16) + 24/32?
1
What is the value of -2*84/30 + (-88)/220?
-6
Calculate 66/(-10) - ((-2)/(-5) + -1).
-6
1/(-5) - (1*-3 + (-13780)/(-4225))
-6/13
Calculate (18/(-7))/(5/(-1) - (-3685)/770).
12
Evaluate (-7 - -11) + -6 + 0.
-2
Calculate ((-6)/45)/(1798/(-870)).
2/31
(-4264)/(-287) - 8/(-56)
15
((-315)/(-49) - 3 - 4) + 120/14
8
Calculate ((-6)/(-8))/((-564)/(-120) - 5).
-5/2
472/(-531) - (-933)/108 - 9
-5/4
(49 + -21)*1*3/(-12)
-7
What is the value of ((-102)/(-17))/(6 + -3 - 0)?
2
(-7)/(-91) - (183/4)/((-169)/(-52))
-14
What is the value of 3 + 3 + (14/8 - 9)?
-5/4
9 + (-4 - 6) + -4 + 8
3
What is (((-16)/((-128)/20))/(-15))/(1/28)?
-14/3
Calculate (-16 + -4)*(-4)/(-24)*-3.
10
((-595)/(-147) + -4)*-9
-3/7
Calculate (-50)/(-5250)*-255 + 2 + 0.
-3/7
Calculate ((-51)/(-1683))/(1/((-9)/6)).
-1/22
What is ((-3 + 9)*(-2)/(-12))/(1/5)?
5
What is the value of (-3*32/504)/((-6)/(-36))?
-8/7
Calculate (54/(-1008)*8)/(((-36)/364)/3).
13
What is the value of 5 + (-18 + 56 - 23)?
20
Evaluate (10 - 1144/91)/(1/(-7)).
18
What is 53*6/315 + (-194)/(-1455)?
8/7
Evaluate (27/(-18) + (-177)/(-6))*32/196.
32/7
What is the value of (-46)/(-80) - (24 - (-2618)/(-110))?
3/8
4/(-50) + (-31)/((-49600)/(-112))
-3/20
What is the value of (-888)/28 + 82 + -50?
2/7
-5*((-2)/30)/((-36)/54)
-1/2
Calculate -2 + 382/154 - 1065/(-2485).
10/11
Evaluate (8 - 7) + 1 + -3 + -13.
-14
What is 846/(-16)*(-392)/1764 - 11?
3/4
What is ((-3305)/1983)/((-2)/(-5) + 332/(-80))?
4/9
Evaluate 0/(84*24/84).
0
What is the value of 22*(-12)/(-2772) - ((-23)/21)/(-1)?
-1
What is the value of -4 - (-4)/5*3250/572?
6/11
Calculate (-894)/(-27) + 80/(-288)*(-6)/(-15).
33
What is the value of (22650/180)/(-151)*(-28)/10?
7/3
What is the value of 9675/(-6375) + (-21)/(-15)?
-2/17
Evaluate (-5)/(425/(-10)) + (-1089)/153.
-7
Calculate (-56 - -94 - 43)/(170/4).
-2/17
What is (-12)/8*((-4338)/(-243) + -18)?
2/9
What is (6/8)/(32/(-96) - (-15)/72)?
-6
Evaluate ((-12)/(-10))/(((-72)/1020*-17)/10).
10
Calculate 1 - ((-1000)/140 + 16/2).
1/7
10/(((-5)/15)/((-7)/(-21)))
-10
What is ((-2)/3)/(7/(-3))*(-35)/(-10)?
1
((-48)/14)/((-297)/1386)
16
Calculate (-3 - 252/(-35)) + (-7 - 12 - -17).
11/5
What is ((-1272)/(-1484))/((-2)/(-28))?
12
What is the value of 4 + (28/(-75))/(((-336)/(-130))/28)?
-2/45
What is the value of 12 + (1287/(-182) - 11) + 6?
-1/14
Evaluate (-1 + -1)*((53 + 2)/11 + -7).
4
What is the value of (-9243)/819 + -2 + 12?
-9/7
What is the value of 794/(-38) + 26*(-12)/2964?
-21
-42*1/(-5*18/(-60))
-28
What is (-10)/(-25)*(-55)/110*(-3 - -1)?
2/5
What is the value of (-2 + 21)*1864/4427*1/2?
4
Evaluate -8 + 43/((-1419)/220) + 12.
-8/3
Evaluate (22/14 + -2)/(65598/17661).
-3/26
What is the value of -5*5/50*-3*(-64)/24?
-4
What is the value of (-2)/(-19) - (-10 - (-1080)/(-570))?
12
What is the value of (-1 + -9)*(104/700 - 24/56)?
14/5
What is the value of (-8)/(-12)*(-51)/(-323)?
2/19
What is the value of (9/(-12))/(-6 + 225/40)?
2
Evaluate (-5)/45*(2 + 6).
-8/9
What is the value of 31 + (-28 - 630/300)?
9/10
What is (-936)/(-1 - 23) + -66?
-27
What is the value of (-23)/(-28) - 242/968?
4/7
Evaluate (68/(-272))/((-1)/(-2)).
-1/2
Calculate 232/(-145)*140/16.
-14
Evaluate (-2)/3*(-1188)/264*(-14)/84.
-1/2
Calculate (1 - (-64)/(-56)) + (-24)/28.
-1
Calculate (-133)/(-38) + (16471/378)/(-13).
4/27
Calculate 9 - 5*(-152)/(-40) - -20.
10
(-3)/(-28)*(-21)/(10395/(-264))
2/35
9 - ((-46)/(-161) - 1/(14/60))
13
(12168/(-630))/(-13) + 6/(-5)
2/7
What is the value of (-14651)/15288 + 2/6*(-4)/(-1)?
3/8
Evaluate -2*(2/((-8)/(-10)) + (-120)/16).
10
What is the value of 93/10 + (-61)/(366/54)?
3/10
What is -5*(-4)/2*-69*(-48)/46368?
5/7
Calculate (18/2 - (-2090)/(-190))/((-20)/2).
1/5
What is (-970)/45 - -4 - 55/(-99)?
-17
(-8630)/8630*(-1 + 54/10)
-22/5
((-1 - 1)*2)/((2/6)/(-1))
12
-15 + (-20 - -31) + 26
22
What is the value of (-6)/12*(494/(-26) - -21)?
-1
Calculate (6 - 168/18)/(35/126).
-12
Calculate (-36)/6 - (12/8)/(3/(-12)).
0
Evaluate 3 + 304/(-85) - (-1737)/2895.
2/85
((-16188)/(-456))/(9/2) + -8
-1/9
What is -13 - (-474)/36 - ((-15)/(-114) - 0)?
2/57
What is (-54)/120*4*3*30/(-351)?
6/13
((-2)/(10/(-39)))/(9*4/60)
13
What is the value of 3/7 + 180/(-126) - (8 - 2)?
-7
Evaluate (-4)/(-14)*(-19 - ((-13728)/(-27))/(-32)).
-8/9
Calculate (8/580)/((-10)/50).
-2/29
What is the value of 32 - (5 - -12) - 16?
-1
Evaluate (-1834)/(-21222)*6/7.
2/27
What is the value of ((-4)/6)/((-2)/(-6)) - 4388/2194?
-4
Calculate ((-38)/8)/((-62)/(-248)).
-19
Calculate (1 + -1)/(-3) + 5*22/(-165).
-2/3
What is 24/(-112) - 1377/(-1428)?
3/4
Evaluate ((-62)/(-11))/(27/(7128/(-48))).
-31
What is the value of (-42)/(-180)*9/21*225/(-6)?
-15/4
(-12)/(-15) - (4 - (-27)/(-10))
-1/2
(-16 - (1 + -16))*3
-3
Evaluate 165/(-231) + (72/21)/4.
1/7
Calculate 0 - 7/5 - (-27)/27.
-2/5
What is 19/190*11/((-22)/(-20))?
1
Calculate (-22)/77 - 7161/(-539).
13
What is (1558/(-760) - -2)*5/4?
-1/16
What is the value of (-5*(-28)/20)/((-28)/8)?
-2
Evaluate (2 + 156/(-16))*5*12/(-15).
31
Evaluate 4/(-8)*(-3 - 115/(-35)).
-1/7
Evaluate 1683/20790 - 6/28.
-2/15
What is (-17)/1 - 119436/(-6994)?
1/13
Evaluate (-650)/195 + (-32)/30 + 14/35.
-4
0*(-6)/(-120)*(-2)/6
0
What is the value of (-32)/2*(-7 - 406/(-56))?
-4
1855/1590 + 51/(-36)
-1/4
(-14)/(-1960)*36*(-80)/24
-6/7
Evaluate (0 + -11)/((-195)/221 + 14/(-119)).
11
Evaluate (-3 - -1 - -3)/(145/(-870)).
-6
Calculate 2*(6 - (60/32)/((-63)/(-196))).
1/3
Evaluate ((-150)/1450)/(3/4*2).
-2/29
Calculate (644/69 + -9)*(58 + -1).
19
Evaluate (57/(-95))/((-357)/140).
4/17
(-9 - -14)/((-7)/56*-20)
2
Evaluate 91/(-182) - 12/(-32).
-1/8
What is (-101)/56 - 333/(-888)?
-10/7
Calculate -9*4*36/(-162).
8
Calculate (36/(-63))/(192/(-960)*(-2)/(-7)).
10
Evaluate (-114)/(-14) + (-144)/(-168).
9
15/12 + 3807/(-108) + 14
-20
(-6)/(-36)*-9 + (-93)/6 + 2
-15
17/(-5) - 145/87*12/(-5)
3/5
Evaluate (2 - 1 - 0)*(-7 + 7).
0
What is (13 + 5 + -14)*42/(-35)*5?
-24
Calculate 152/95*285/76.
6
(-2 - -1) + 7280/3360
7/6
What is the value of ((-30)/(-9) - 3)/(4328/(-240) + 18)?
-10
10 + 26741/(-2730) - (2 + 84/(-45))
1/14
What is the value of ((-723)/342 - -3) + ((-1720)/(-48))/(-43)?
1/19
Evaluate 5/1*1052/(-526).
-10
What is the value of -8 + (2 - (-149)/35) + (-3016)/(-2639)?
-3/5
Evaluate 11 + 14457/(-732)*(-2)/(-4).
9/8
What is the value of 15/(-65)*(-3)/(-18)?
-1/26
Evaluate (2/(-100))/(-1)*(12480/(-128))/(-39).
1/20
Evaluate (17 + (-1035)/30)*8/5 - 5.
-33
-4 + 68850/17050 - 1*(-2)/22
4/31
(8 - -5)*-1 - (36/(-9) - 3)
-6
Evaluate (-63)/(-84) + 1490/(-56) - 40/35.
-27
What is the value of (312/(-18))/2 - (-1100)/300?
-5
What is the value of ((220/33)/(-20))/(1/2)?
-2/3
Evaluate 35/(-5) + ((-11)/22)/(14/308).
-18
Evaluate ((-2)/3)/(-2) + 17 + (-732)/36.
-3
What is (-9 + 31 + -4)/(8 - (-1 + 5))?
9/2
What is (-14)/(-98) - 207/(-126)*6?
10
((-833)/17 - -45)*(-2 - (-50)/8)
-17
Evaluate 32/24 + (4 - 7) - (-22)/(-3).
-9
What is 3 - (1 + 4551/574)*(-2)/(-5)?
-4/7
Calculate 28/8*(-9)/18.
-7/4
Evaluate 21/(-27) - (-640)/3600.
-3/5
What is the value of (2 - (-310)/(-105)) + 11 + 186/(-18)?
-2/7
What is the value of (((-336)/(-152))/14)/(-1)?
-3/19
(-1)/5 + 1102/(-190) + 76/(-4)
-25
Calculate (-37)/20 + 2 + ((-42)/30 - -1).
-1/4
What is -3 + 2244/136*((-2)/(-15))/1?
-4/5
What is (-1 - 17)/((
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate the smallest common multiple of u and y.
30
Suppose 0 = -2*j - 0*j + 6, 4*w - 3*j = 23. What is the smallest common multiple of 4 and w?
8
Let h(l) = -l**2 + 16*l - 6. Let f be h(15). Suppose k + 2*a = -32, -k + 2*a - 19 - f = 0. Find the common denominator of k and 71/2.
2
Let m = 26981/10 - 2694. Let r = -3087/11 + 282. Find the common denominator of r and m.
110
Let b = -11153 - -13372449/1199. Let d = b - 87563/21582. What is the common denominator of 1498/24*(-8)/84 and d?
18
Let l be (-6)/(-4)*(1 - -1). Suppose -2*d - 1 + 3 = 4*h, -3*h - 3*d - l = 0. Calculate the least common multiple of 6 and h.
6
Suppose 4*s - 5*f = 2, -4*s + 11 = 5*f - 11. Calculate the common denominator of s/2 + -1 + -3 and -71/16.
16
Suppose 0 = -2*a - 4*s + 694, -4*a = 2*s + 2*s - 1372. Calculate the common denominator of (-14)/(-21)*a/(-20) and -56/5.
10
Let g = -1 + 1. Suppose 4*x = -3*v - 28, g = -5*v + 4*x - 4. Calculate the least common multiple of 9 and (1/(-4))/(1/v).
9
Let f = -5 + 9. Suppose 5*w - 3*b - 30 = -8*b, -f = -2*b. Calculate the lowest common multiple of 4 - (3 + -3)*1 and w.
4
Calculate the common denominator of (-5)/16*170/(-50) and 9/16.
16
Suppose 0 = -2*b + 3*q + 15, -4 - 1 = 3*b + q. Suppose 3*h - 6 - 3 = b. Suppose -h*v - 78 = -6*v. Calculate the smallest common multiple of v and 18.
234
What is the common denominator of 1625/(-78) - (1 + -1) and 8/5?
30
Let r = 742 + -2252/3. What is the common denominator of r and -25/9?
9
Let i = 28 - 301/11. Calculate the common denominator of i and ((-2)/(-4))/(3/(-75)).
22
Let i be (-4)/(-3)*12/8. Let s be i/3 - 10/(-3). Calculate the common denominator of (-1 - (-110)/s)/(-5) and 89/18.
90
Find the common denominator of 234/40 + (-9)/3 and -49/18.
180
Let b(v) = -v**3 - 8*v**2 + 9*v + 1. Let r be b(-9). What is the common denominator of r - (3 + 412/40) and 57/4?
20
Let n = 53 + -39. Calculate the smallest common multiple of n and 16.
112
Let u = 2494 + -5087/2. Calculate the common denominator of u and (-4)/(-22) - (-1649)/66.
6
Let f(x) = 9*x - 6. Let b be f(6). Suppose p + p - b = 2*g, 4*p + 2*g = 84. What is the lowest common multiple of 8 and p?
88
Let h be (1/(-2))/(3/(-30)). Suppose h*q - 3 - 4 = -i, 3 = 2*i - q. Calculate the smallest common multiple of 4 and 4/i - 6/(-3).
4
Suppose 83*a = 85*a - 48. Calculate the lowest common multiple of 27 and a.
216
Let h = 499 + -3468/7. Calculate the common denominator of (-1707)/132 - (-3)/((-66)/(-4)) and h.
28
Let y(p) = -2*p + 0 - 4 - 2. Let n be y(6). What is the common denominator of -44/9 and (-22)/n*(10 + 2)?
9
Let b = -444 - -3113/7. Let v = 266 + -22. Calculate the common denominator of v/40 - 3/(-6) and b.
35
Let n(p) = p**3 - 11*p**2 - 11*p + 24. What is the least common multiple of n(12) and 6?
36
Let t(a) = 4*a + 11. Let o be t(10). Suppose -5*m = -39 - o. Calculate the least common multiple of m and 14.
126
Let l(r) = r**3 - 2*r**2 - 5*r + 6. Suppose 4*w = 4, -2*u + 15 = u + 3*w. Calculate the smallest common multiple of 20 and l(u).
180
Let p = 2/69 + -1043/276. Find the common denominator of p and 33.
4
What is the common denominator of 3/((-549)/150 + 3) and -46?
11
Let c be (183 + 0)/((-3)/(-204)). Let f = c + -124547/10. What is the common denominator of 1 + (-1)/(2/43) and f?
10
Let z(x) = -x**3 + 6*x**2 - 6*x - 2. Let n be z(5). What is the least common multiple of 9 and (-2)/5 - n/5?
9
Find the common denominator of -9 + 12 + (-28)/6 and 23.
3
Let h = -4561 + 40993/9. Calculate the common denominator of h and -71/3.
9
Let j = 17141/2172176 + -1/5584. Let d = j + -1224973/1556. Let u = d - -794. What is the common denominator of u and -43/14?
28
Suppose 0 = -5*i - 3*j - 2*j - 10, -j - 4 = 0. Let k(m) = 2 + 5*m**i - 2*m**2 - m**3 - 4. What is the smallest common multiple of 16 and k(-2)?
144
Let p = 11 - 11. Suppose p = d - 1. Calculate the smallest common multiple of 11 and d.
11
Let m = -3805/178 + 11103307/534. Let r = 22496 - m. Let z = 1703 - r. Calculate the common denominator of z and -19/2.
6
Let q be 4/(-10) - 1704/(-10). Suppose -2*o + 4*r = -o + 14, 5*o + 5*r = -q. Calculate the common denominator of ((-17255)/(-150))/(-7) + (-4)/10 and o.
6
Suppose 10 = 4*f - 186. Calculate the common denominator of f and -33.
1
Let c(w) = -w**3 + 7*w**2 + 8*w + 8. Calculate the least common multiple of 9 and c(8).
72
Suppose 3*z - 44 = -14. Calculate the lowest common multiple of (-1)/(-2)*(5 - -5) and z.
10
Let q = 51 - 30. Let p = q + -8. Suppose 0 = -2*j + p + 15. Calculate the smallest common multiple of 12 and j.
84
Calculate the common denominator of ((-6)/20)/((-6)/226) and 7/12.
60
Suppose -17 = -2*f + 27. Calculate the least common multiple of 12 and f.
132
Let r(l) be the third derivative of l**6/720 - l**4/24 + 3*l**2. Let q(h) be the second derivative of r(h). What is the least common multiple of 6 and q(2)?
6
Let b(n) = 2*n**2 - 3*n - 9. Calculate the smallest common multiple of b(4) and 3.
33
What is the common denominator of (-4)/2 - 98/8 and 63/5?
20
Let i be ((-2)/(-4))/((-2)/(-2088)). Let o = 396717/4 - 98671. Let u = i - o. Find the common denominator of -19/2 and u.
4
Let v(g) = -g**2 + 4*g + 1. Let f be v(3). Suppose -o = -4*o + 5*z + 74, -2*o + f*z + 52 = 0. What is the lowest common multiple of o and ((-12)/(-14))/(3/42)?
36
Suppose -5*b + 88 = -37. What is the common denominator of b and 57/5?
5
Suppose -5*p - 5*u + 10 = -85, 0 = -3*p - u + 55. Suppose 2 = 2*j + 5*c - 16, -2*j - 3*c = -14. Calculate the smallest common multiple of j and p.
36
Let a = 96364138595/110571530376 + 5/48242378. Let u = a + 2/573. Find the common denominator of u and 118/9*(-3)/4.
24
Suppose 8 = -2*g - 0. What is the smallest common multiple of (2 + -14)*g/3 and 10?
80
Find the common denominator of (4/(-56) - -1)/(-1) and (4/8)/((-11)/(-49)).
154
Let t = -3/521 + 43249/1042. Calculate the common denominator of -37 and t.
2
Let k = -729 - -4387/6. Find the common denominator of k and (1/12)/(21/1204).
18
Let h be -84*((-2)/(-4) - 1). Find the common denominator of ((-3)/8)/(2/h) and 6/7.
56
Let z be 8805/4 + 1/(-4). Let m = z - 15359/7. Let a = 2/6205 - -589471/12410. Find the common denominator of a and m.
14
Suppose -2*l = -f - 2, -5*l = -32*f + 35*f - 49. What is the smallest common multiple of (4/3)/(2/9) and f?
24
Let k = -38/87 - -4790/609. Find the common denominator of -29/6 and k.
42
Let f = 83710 - 3516631/42. Let x = 121/6 + f. Find the common denominator of x and ((-873)/(-27))/((-2)/(-3)).
14
Let h be ((-12)/5)/((-8)/580). Suppose -h = 5*m + 91. Calculate the common denominator of 99/2 and (m/(-14))/(5/(-10)).
14
Let r(m) = m**3 + 2*m**2 - m - 1. Calculate the smallest common multiple of 5 and r(-2).
5
Let f = -851/960 - -29/64. Calculate the common denominator of f and 76/45.
90
Let g(d) = -2*d. Let n be g(-2). Let u(q) = -q**3 + 3*q**2 + 6*q - 6. Let p be u(n). What is the lowest common multiple of 16 and 15/p - (-4)/8?
16
What is the least common multiple of (-6)/(-18) + 47/3 and 16?
16
Let t = 3354 - 40211/12. Let f = -75097/16 + 4695. Calculate the common denominator of t and f.
48
Find the common denominator of 349/10 - 12/(-20) and -70/9.
18
Let i = -41761 + 4217894/101. What is the common denominator of -16/5 and i?
505
Let k = 5/6958 - 932527/215698. Let s = k - -4409/310. Calculate the common denominator of s and (215/100)/(4/(-8)).
10
Let t = -13717316/677 - -66063650885/3257724. Let d = 1/1604 - t. Let l = -29/45 - 1462/315. Calculate the common denominator of d and l.
42
Suppose 9 = -3*v, -5*v + 5979 = -r - 5997. Let k be 2 + 1 + r/(-20262). Let m = k + -3/3377. Find the common denominator of m and 27/2.
22
Let o(k) = -k**2 - 9*k + 12. What is the smallest common multiple of 18 and o(-9)?
36
Suppose 0 = 4*v + 19 + 41. Let a be (6/v + 0)*-5. Calculate the common denominator of 39 and a/9 + 25/9.
1
Let c be ((-4112)/264)/(1 - 63). Let j = c + 2/93. Calculate the common denominator of -55/7 and j.
77
Let p = 5 - 6. Calculate the common denominator of -23/8 and (p/(-11))/(5/35).
88
Find the common denominator of 121/20 and 1 - (-6)/204*-19*1.
340
Let r be (3 - 0)*20/6. Let n be (-168)/(-5) + r/25. Suppose -y + h = y - 13, -4*h = -5*y + n. Calculate the smallest common multiple of 2 and y.
6
Let v =
|
{
"pile_set_name": "DM Mathematics"
}
|
he power of 1/7, to the nearest integer?
8
What is the cube root of 2725002 to the nearest integer?
140
What is 1148807 to the power of 1/3, to the nearest integer?
105
What is 969874 to the power of 1/8, to the nearest integer?
6
What is the square root of 637360 to the nearest integer?
798
What is the cube root of 201314 to the nearest integer?
59
What is the square root of 835901 to the nearest integer?
914
What is the third root of 14640033 to the nearest integer?
245
What is the square root of 7553870 to the nearest integer?
2748
What is the cube root of 662122 to the nearest integer?
87
What is the third root of 350461 to the nearest integer?
71
What is 67949 to the power of 1/2, to the nearest integer?
261
What is the third root of 3006811 to the nearest integer?
144
What is 525339 to the power of 1/6, to the nearest integer?
9
What is the third root of 358574 to the nearest integer?
71
What is the cube root of 15471171 to the nearest integer?
249
What is the ninth root of 82067 to the nearest integer?
4
What is the cube root of 1497310 to the nearest integer?
114
What is the third root of 1400114 to the nearest integer?
112
What is the third root of 2147468 to the nearest integer?
129
What is the tenth root of 683175 to the nearest integer?
4
What is 97058 to the power of 1/3, to the nearest integer?
46
What is the cube root of 1493482 to the nearest integer?
114
What is the third root of 9665286 to the nearest integer?
213
What is 14587512 to the power of 1/9, to the nearest integer?
6
What is 6227716 to the power of 1/2, to the nearest integer?
2496
What is the cube root of 1399975 to the nearest integer?
112
What is 20377735 to the power of 1/3, to the nearest integer?
273
What is the square root of 1054497 to the nearest integer?
1027
What is the third root of 1050566 to the nearest integer?
102
What is 1299334 to the power of 1/5, to the nearest integer?
17
What is 20865920 to the power of 1/7, to the nearest integer?
11
What is 2102210 to the power of 1/7, to the nearest integer?
8
What is the square root of 253079 to the nearest integer?
503
What is 2714689 to the power of 1/2, to the nearest integer?
1648
What is 208913 to the power of 1/7, to the nearest integer?
6
What is 14272219 to the power of 1/2, to the nearest integer?
3778
What is the eighth root of 414107 to the nearest integer?
5
What is 189340 to the power of 1/5, to the nearest integer?
11
What is the fourth root of 5854658 to the nearest integer?
49
What is 267928 to the power of 1/3, to the nearest integer?
64
What is 4389322 to the power of 1/4, to the nearest integer?
46
What is 3468423 to the power of 1/2, to the nearest integer?
1862
What is 2491914 to the power of 1/2, to the nearest integer?
1579
What is 3636032 to the power of 1/2, to the nearest integer?
1907
What is the third root of 143072 to the nearest integer?
52
What is the third root of 8903962 to the nearest integer?
207
What is the ninth root of 2590378 to the nearest integer?
5
What is 8950546 to the power of 1/2, to the nearest integer?
2992
What is 3581263 to the power of 1/3, to the nearest integer?
153
What is the square root of 1298420 to the nearest integer?
1139
What is the third root of 1839570 to the nearest integer?
123
What is 4104665 to the power of 1/7, to the nearest integer?
9
What is the third root of 178850 to the nearest integer?
56
What is 5740548 to the power of 1/3, to the nearest integer?
179
What is the tenth root of 10576547 to the nearest integer?
5
What is the eighth root of 2023179 to the nearest integer?
6
What is 3992953 to the power of 1/3, to the nearest integer?
159
What is 77558 to the power of 1/2, to the nearest integer?
278
What is the fifth root of 26625845 to the nearest integer?
31
What is the tenth root of 1233614 to the nearest integer?
4
What is the third root of 415111 to the nearest integer?
75
What is 2220190 to the power of 1/3, to the nearest integer?
130
What is 227165 to the power of 1/9, to the nearest integer?
4
What is the cube root of 2040523 to the nearest integer?
127
What is the square root of 5812998 to the nearest integer?
2411
What is the square root of 1806532 to the nearest integer?
1344
What is 252348 to the power of 1/10, to the nearest integer?
3
What is the third root of 555208 to the nearest integer?
82
What is 987423 to the power of 1/3, to the nearest integer?
100
What is 353200 to the power of 1/9, to the nearest integer?
4
What is 1436101 to the power of 1/5, to the nearest integer?
17
What is 7976954 to the power of 1/6, to the nearest integer?
14
What is the third root of 169171 to the nearest integer?
55
What is the square root of 1189047 to the nearest integer?
1090
What is the cube root of 539243 to the nearest integer?
81
What is the tenth root of 1115055 to the nearest integer?
4
What is 509439 to the power of 1/2, to the nearest integer?
714
What is 380791 to the power of 1/8, to the nearest integer?
5
What is the square root of 1763815 to the nearest integer?
1328
What is 9314313 to the power of 1/8, to the nearest integer?
7
What is 6927285 to the power of 1/5, to the nearest integer?
23
What is 494531 to the power of 1/8, to the nearest integer?
5
What is 84746 to the power of 1/2, to the nearest integer?
291
What is 395956 to the power of 1/6, to the nearest integer?
9
What is 20334 to the power of 1/3, to the nearest integer?
27
What is the square root of 16900233 to the nearest integer?
4111
What is the cube root of 302454 to the nearest integer?
67
What is the square root of 92194 to the nearest integer?
304
What is 5614215 to the power of 1/10, to the nearest integer?
5
What is 694645 to the power of 1/3, to the nearest integer?
89
What is the square root of 5291054 to the nearest integer?
2300
What is the square root of 76798 to the nearest integer?
277
What is the ninth root of 718273 to the nearest integer?
4
What is the seventh root of 239584 to the nearest integer?
6
What is the square root of 14160 to the nearest integer?
119
What is 193443 to the power of 1/2, to the nearest integer?
440
What is the fourth root of 480811 to the nearest integer?
26
What is 5379106 to the power of 1/10, to the nearest integer?
5
What is 46541 to the power of 1/6, to the nearest integer?
6
What is 1005704 to the power of 1/7, to the nearest integer?
7
What is 366561 to the power of 1/3, to the nearest integer?
72
What is the third root of 16133417 to the nearest integer?
253
What is the cube root of 26129056 to the nearest integer?
297
What is 161315 to the power of 1/10, to the nearest integer?
3
What is the square root of 2934559 to the nearest integer?
1713
What is 66683 to the power of 1/7, to the nearest integer?
5
What is the seventh root of 848168 to the nearest integer?
7
What is 13395 to the power of 1/3, to the nearest integer?
24
What is 1624929 to the power of 1/5, to the nearest integer?
17
What is the cube root of 8442 to the nearest integer?
20
What is the seventh root of 67245 to the nearest integer?
5
What is the third root of 577318 to the nearest integer?
83
What is the third root of 162384 to the nearest integer?
55
What is the square root of 5002544 to the nearest integer?
2237
What is 859974 to the power of 1/3, to the nearest integer?
95
What is the seventh root of 9126725 to the nearest integer?
10
What is 48863 to the power of 1/2, to the nearest integer?
221
What is 144968 to the power of 1/2, to the nearest integer?
381
What is 1243367 to the power of 1/2, to the nearest integer?
1115
What is 1381572 to the power of 1/3, to the nearest integer?
111
What is 810845 to the power of 1/2, to the nearest integer?
900
What is the square root of 448067 to the nearest integer?
669
What is 221264 to the power of 1/3, to the nearest integer?
60
What is 1690131 to the power of 1/6, to the nearest integer?
11
What is the cube root of 149705 to the nearest integer?
53
What is 22386774 to the power of 1/3, to the nearest integer?
282
What is 1586812 to the power of 1/9, to the nearest integer?
5
What is 583956 to the power of 1/10, to the nearest integer?
4
What is the seventh root of 1298770 to the nearest integer?
7
What is 1150509 to the power of 1/8, to the nearest integer?
6
What is 21769292 to the pow
|
{
"pile_set_name": "DM Mathematics"
}
|
544 <= -2/5?
True
Which is greater: -1080634 or -1080629?
-1080629
Is -4607928 < -13823783/3?
True
Which is greater: 1 or 193/224668?
1
Which is greater: -76659294/5 or -15331860?
-76659294/5
Are 1712 and -2841 non-equal?
True
Which is greater: -2063 or -7578?
-2063
Is -11 <= -74578.9?
False
Which is smaller: 163264894 or 163264889?
163264889
Is 90373/1417 at least 63?
True
Which is smaller: -0.2 or -5455524?
-5455524
Which is greater: 1 or -494/4681?
1
Is 12420354 > -0.1?
True
Is 1684/19777 less than or equal to 1?
True
Which is smaller: -36961 or -39007?
-39007
Is 33954218 greater than 33954218?
False
Which is bigger: -1153 or -273164/237?
-273164/237
Which is bigger: -0.1 or 23192388?
23192388
Is -1/14129275 less than -1?
False
Which is bigger: 0.0703 or 29/73?
29/73
Is 19202683 at least as big as 19202684?
False
Which is smaller: 77449 or 77434?
77434
Which is smaller: -3378533 or -3378477?
-3378533
Which is greater: -1 or -76/482259?
-76/482259
Do -96/421 and 134 have the same value?
False
Which is smaller: -4016066/9 or -446231?
-446231
Are 15/40820824 and 1 unequal?
True
Which is smaller: 45.2 or 32/6467?
32/6467
Which is smaller: 1 or -22/250577?
-22/250577
Is -16 at least as big as -141726/8621?
True
Which is smaller: -1414 or -484746/343?
-1414
Which is smaller: 5418562 or 27092809/5?
27092809/5
Which is greater: 795348 or 17497639/22?
795348
Do 35894879 and 35894881 have the same value?
False
Which is bigger: 567/1404602 or -1?
567/1404602
Which is greater: -663073/121 or -5481?
-663073/121
Is -1931564 <= -1931624?
False
Which is smaller: -1 or 14/38062161?
-1
Are 0 and 243/274852 unequal?
True
Which is smaller: 1191 or 2487?
1191
Which is greater: -1422633 or -1422559?
-1422559
Is 0.074364 at least as big as 244?
False
Is -588 at least as big as -666762/1133?
True
Is -1 bigger than 11833.978?
False
Which is bigger: -1629/1980536 or 0?
0
Which is smaller: 4374646 or 29?
29
Is -430754498 bigger than -430754497?
False
Which is smaller: -10943/91 or -120?
-10943/91
Which is bigger: 31267461 or 1?
31267461
Which is bigger: 2583507 or 2583521?
2583521
Are -8210047 and 0.2 nonequal?
True
Is 20456995 < 225026955/11?
True
Which is bigger: 45 or -82063?
45
Are 0 and 1194/21959 equal?
False
Which is smaller: 0 or -28518/40751?
-28518/40751
Are 2017408 and 2017384 non-equal?
True
Is -889/910282 bigger than 1?
False
Is -55/3293314 less than 1?
True
Which is smaller: 8/2892011 or 1?
8/2892011
Do -11043334 and -11043333 have different values?
True
Which is bigger: -208 or -53779/257?
-208
Which is smaller: 254553849 or -1/3?
-1/3
Do 99347093 and 99347094 have the same value?
False
Which is bigger: 1021156/7 or -1/10?
1021156/7
Is -12/5798749 bigger than 1?
False
Which is greater: -23 or 16537094?
16537094
Does 6355 = -64083?
False
Which is bigger: -463717/1183 or -392?
-463717/1183
Which is smaller: 0 or 7/30986777?
0
Is 15.9 less than 15286?
True
Is -88333 less than or equal to -88022?
True
Is -101106 greater than or equal to 72/29?
False
Which is smaller: -71036/5 or -295?
-71036/5
Is -127952903 greater than -127952908?
True
Which is greater: 398228 or 398201?
398228
Are -197324 and -31 non-equal?
True
Which is bigger: 1041176 or 6247051/6?
1041176
Is -11/1147394 greater than 1?
False
Is 2/9 smaller than 231991359?
True
Which is greater: 6440675 or -10?
6440675
Which is greater: -261568315 or -261568318?
-261568315
Which is smaller: 0.1 or 0.28142354?
0.1
Do 7/30 and -10.67663 have the same value?
False
Is 4.7 at most as big as 31.93?
True
Which is smaller: -7 or -6760254?
-6760254
Is -25301 > -25069?
False
Do 1 and -234261.53 have the same value?
False
Are -0.751 and 3.17336 equal?
False
Which is smaller: 204380 or -1059?
-1059
Are 0.97 and -0.538144 unequal?
True
Is 9077952 less than 9077950?
False
Is 68592 >= 68613?
False
Is 1/3 greater than or equal to 899243178?
False
Which is smaller: -0.2 or 150701558?
-0.2
Which is bigger: 23183/143 or 163?
163
Is -412376896 less than -0.3?
True
Which is smaller: -2/387 or -6/10769?
-2/387
Is -13920010 < -13920011?
False
Which is bigger: -141/22 or 42032?
42032
Is 1870 smaller than 1505?
False
Is 16838600/89 >= 189199?
False
Which is greater: -40493 or -40901?
-40493
Is -16/12176813 >= -1?
True
Is 226 less than -43187?
False
Do -32224510 and -32224510 have different values?
False
Which is smaller: 7671/126701 or 1?
7671/126701
Is 270091 >= 270181?
False
Which is greater: -1/2 or 64174?
64174
Is 154 at most -0.149838?
False
Which is smaller: 40411 or 49861?
40411
Which is greater: 6543/28735 or 0.3?
0.3
Do -31712449 and 2 have different values?
True
Are -25999266 and -25999261 equal?
False
Is -18601 greater than -18075?
False
Is 4 < 39664/13325?
False
Which is bigger: 16110073 or 16110067?
16110073
Is -3 != 1390875?
True
Does -1473589 = -1472994?
False
Is 984471/343 <= 2870?
False
Is -527395 <= -527395?
True
Is 12515551 greater than or equal to 0?
True
Is -56366761 less than or equal to -1/3?
True
Is 2/3 bigger than -19351389?
True
Is -2/130568695 at least 1?
False
Are -2/17 and -119792 nonequal?
True
Is -2/63581 < -253.2?
False
Which is greater: -224 or -0.448634?
-0.448634
Which is smaller: 4696285 or 4696272?
4696272
Which is smaller: -162 or -415090/2547?
-415090/2547
Which is greater: -1 or -74/1063477?
-74/1063477
Which is bigger: 45044662 or 45044658?
45044662
Is 37904730 less than or equal to 37904734?
True
Which is smaller: 124376206 or 0.2?
0.2
Which is greater: -126/2033 or -23?
-126/2033
Is 4150848 > 112072892/27?
True
Are -2333526 and -2333529 non-equal?
True
Does 1469669 = 1469636?
False
Is -14607847 smaller than -14607853?
False
Is 5973140 greater than 41811975/7?
True
Is 60493 equal to 60557?
False
Do 24849412 and 149096477/6 have different values?
True
Which is smaller: -6 or -46458/7013?
-46458/7013
Which is smaller: 1346/621 or 65?
1346/621
Which is bigger: 7915 or 1590658/201?
7915
Which is bigger: -3345/69896 or -1?
-3345/69896
Is -7677599 at most as big as -7677599?
True
Which is greater: 3549 or 576?
3549
Which is smaller: -17983867 or -25?
-17983867
Which is smaller: 41807 or -177?
-177
Is -1.512070335 at most 2?
True
Is -1680 at least as big as -320922/191?
True
Which is greater: -1 or 6/4004777?
6/4004777
Is -212/13611249 > 0?
False
Which is smaller: -562064382/13 or -43235723?
-43235723
Which is greater: -402990986 or -402990987?
-402990986
Is -106252 < -107295?
False
Is -7438/93743 greater than or equal to -1?
True
Which is bigger: -42284122/11 or -3844011?
-3844011
Which is bigger: 2665113 or 2665106?
2665113
Which is smaller: 7115268 or -2/7?
-2/7
Which is greater: 803758 or 804203?
804203
Is -1729 greater than or equal to 24759?
False
Does 1 = -1/24404788?
False
Which is greater: 0 or 606/4096729?
606/4096729
Which is smaller: 132490687 or 132490685?
132490685
Is 3/187607875 < -1?
False
Are 768280 and 768259 equal?
False
Which is greater: 0.13 or -3888291?
0.13
Is -0.0230597 less than or equal to 2/17?
True
Is 0 greater than or equal to 23/9766019?
False
Which is bigger: 45.1 or 1718.43?
1718.43
Which is smaller: 96818440 or 484092196/5?
484092196/5
Which is greater: -1241563 or -1241561?
-1241561
Which is bigger: -110328 or -110252?
-110252
Is -1 bigger than -3/123434639?
False
Which is greater: 101604 or 101595?
101604
Which is greater: 1481548 or 1481529?
1481548
Which is smaller: 83606270 or 83606267?
83606267
Which is smaller: -0.07 or -54815026?
-54815026
Which is smaller: -97/6976150 or -1?
-1
Is 926530/7631 > 121?
True
Is 11521/431 bigger than 2/3?
True
Do -17642820 and -17642822 have the same value?
False
Is 0.0785 != -168933?
True
Are -376775/774 and -486 equal?
False
Is -1 at most as big as 1110/1329481?
True
Does 3240769/6 = 540128?
False
Which is bigger: -79405948 or -79405949?
-79405948
Is -24627 equal to -23869?
False
Which is smaller: -28/1888791 or 0?
-28/1888791
Which is bigger: 16296039 or 16296037?
16296039
Is 4569990 at least 4569984?
True
Which is greater: -178708258 or -178708259?
-178708258
Do 417 and -2/27071 have the same value?
False
Is 1138838 greater than or equal to 1138899?
False
Are 1136/44623 and -1 unequal?
True
Which is smaller: -101312358 or -101312355?
-101312358
Is -29 greater than -387009?
True
Is -3277 at most 2183?
True
Is 8811/
|
{
"pile_set_name": "DM Mathematics"
}
|
-27599, -36768, -45911, -55022?
v**3 + v**2 - 9213*v + 4
What is the w'th term of 380, 1659, 3790, 6773, 10608, 15295?
426*w**2 + w - 47
What is the l'th term of 754, 636, 426, 118, -294, -816, -1454, -2214?
-l**3 - 40*l**2 + 9*l + 786
What is the o'th term of -3620, -7264, -10906, -14546?
o**2 - 3647*o + 26
What is the n'th term of -2186, -2189, -2192, -2195, -2198?
-3*n - 2183
What is the k'th term of -17, 58, 261, 652, 1291?
10*k**3 + 4*k**2 - 7*k - 24
What is the g'th term of -1825, -1729, -1633, -1537, -1441, -1345?
96*g - 1921
What is the o'th term of -31, -97, -233, -475, -859?
-6*o**3 + o**2 - 27*o + 1
What is the d'th term of 362, 2935, 9906, 23471, 45826, 79167, 125690, 187591?
366*d**3 + 3*d**2 + 2*d - 9
What is the j'th term of -12, -211, -740, -1761, -3436, -5927, -9396?
-27*j**3 - 3*j**2 - j + 19
What is the o'th term of -7402, -14833, -22268, -29707, -37150, -44597, -52048?
-2*o**2 - 7425*o + 25
What is the s'th term of -11012185, -11012184, -11012183, -11012182?
s - 11012186
What is the f'th term of 586, 952, 1316, 1678?
-f**2 + 369*f + 218
What is the c'th term of 167, 203, 255, 317, 383, 447, 503, 545?
-c**3 + 14*c**2 + c + 153
What is the g'th term of 2669, 5105, 7541?
2436*g + 233
What is the c'th term of -265, -1103, -2503, -4465?
-281*c**2 + 5*c + 11
What is the m'th term of 1795, 1788, 1771, 1738, 1683?
-m**3 + m**2 - 3*m + 1798
What is the n'th term of -262, -2343, -7988, -18979, -37098?
-297*n**3 - 2*n + 37
What is the t'th term of 41442, 41463, 41484, 41505, 41526, 41547?
21*t + 41421
What is the b'th term of -839, -819, -779, -707, -591?
2*b**3 - 2*b**2 + 12*b - 851
What is the i'th term of -84557, -84559, -84571, -84599, -84649, -84727?
-i**3 + i**2 + 2*i - 84559
What is the q'th term of 71624, 71614, 71604, 71594, 71584, 71574?
-10*q + 71634
What is the k'th term of -82, -203, -386, -661, -1058, -1607, -2338?
-5*k**3 - k**2 - 83*k + 7
What is the b'th term of 34930, 34947, 34964?
17*b + 34913
What is the f'th term of 4570, 4245, 3920, 3595?
-325*f + 4895
What is the f'th term of -1988, -3908, -5830, -7754, -9680?
-f**2 - 1917*f - 70
What is the q'th term of 13409, 26816, 40223, 53630, 67037?
13407*q + 2
What is the n'th term of -2415, -9725, -21913, -38979?
-2439*n**2 + 7*n + 17
What is the c'th term of -719, -2922, -6599, -11750, -18375, -26474?
-737*c**2 + 8*c + 10
What is the p'th term of 10983, 10990, 10997?
7*p + 10976
What is the p'th term of -244, -2256, -7712, -18334, -35844, -61964?
-287*p**3 - 3*p + 46
What is the o'th term of -935, -1178, -1419, -1658?
o**2 - 246*o - 690
What is the i'th term of -3488, -7005, -10526, -14051, -17580, -21113?
-2*i**2 - 3511*i + 25
What is the a'th term of -42226, -84451, -126674, -168895, -211114, -253331?
a**2 - 42228*a + 1
What is the g'th term of -389, -954, -1517, -2078, -2637, -3194, -3749?
g**2 - 568*g + 178
What is the h'th term of -117, -142, -145, -96, 35, 278, 663?
5*h**3 - 19*h**2 - 3*h - 100
What is the b'th term of -38, -46, -76, -140, -250, -418, -656?
-2*b**3 + b**2 + 3*b - 40
What is the k'th term of -10610, -10609, -10606, -10601, -10594?
k**2 - 2*k - 10609
What is the y'th term of -105, -552, -1291, -2316, -3621?
y**3 - 152*y**2 + 2*y + 44
What is the x'th term of -54072, -54069, -54066, -54063, -54060?
3*x - 54075
What is the s'th term of -1346, -1352, -1356, -1358, -1358, -1356, -1352?
s**2 - 9*s - 1338
What is the t'th term of -143, -307, -481, -665, -859, -1063, -1277?
-5*t**2 - 149*t + 11
What is the b'th term of -24513, -24519, -24531, -24549?
-3*b**2 + 3*b - 24513
What is the r'th term of -21803, -43608, -65413, -87218, -109023?
-21805*r + 2
What is the u'th term of -45759, -91527, -137297, -183069?
-u**2 - 45765*u + 7
What is the r'th term of -1739, -3241, -4743, -6245, -7747, -9249?
-1502*r - 237
What is the y'th term of 252, 187, 24, -285, -788?
-8*y**3 - y**2 - 6*y + 267
What is the b'th term of 23869, 23875, 23881, 23887?
6*b + 23863
What is the z'th term of -20, -68, -148, -260?
-16*z**2 - 4
What is the i'th term of -7212, -7225, -7238, -7251?
-13*i - 7199
What is the r'th term of 49636, 49638, 49640, 49642?
2*r + 49634
What is the m'th term of 22973, 22943, 22863, 22709, 22457, 22083, 21563, 20873?
-4*m**3 - m**2 + m + 22977
What is the a'th term of -144078, -144079, -144080, -144081?
-a - 144077
What is the p'th term of 5261, 5292, 5325, 5360, 5397?
p**2 + 28*p + 5232
What is the m'th term of 440, -1073, -2584, -4093, -5600, -7105?
m**2 - 1516*m + 1955
What is the u'th term of 203, 659, 1359, 2297, 3467?
-u**3 + 128*u**2 + 79*u - 3
What is the y'th term of -486409, -486409, -486411, -486415, -486421, -486429, -486439?
-y**2 + 3*y - 486411
What is the i'th term of 266, 213, 160, 107, 54?
-53*i + 319
What is the p'th term of 62964, 62859, 62754, 62649, 62544, 62439?
-105*p + 63069
What is the t'th term of 65, -5, -137, -343, -635, -1025, -1525?
-2*t**3 - 19*t**2 + t + 85
What is the x'th term of 1814, 1800, 1786?
-14*x + 1828
What is the p'th term of 42556, 42566, 42580, 42598?
2*p**2 + 4*p + 42550
What is the c'th term of -285, -544, -769, -954, -1093, -1180, -1209?
c**3 + 11*c**2 - 299*c + 2
What is the w'th term of -7927, -7933, -7949, -7981, -8035, -8117, -8233, -8389?
-w**3 + w**2 - 2*w - 7925
What is the p'th term of -14313, -57278, -128893, -229158, -358073, -515638, -701853?
-14325*p**2 + 10*p + 2
What is the z'th term of 406, 1783, 4124, 7423, 11674, 16871?
-z**3 + 488*z**2 - 80*z - 1
What is the v'th term of 144, 183, 220, 255, 288, 319, 348?
-v**2 + 42*v + 103
What is the a'th term of -31133, -62298, -93463, -124628?
-31165*a + 32
What is the i'th term of 1716307, 1716304, 1716301, 1716298?
-3*i + 1716310
What is the z'th term of 294, 197, 48, -141, -358, -591, -828, -1057?
2*z**3 - 38*z**2 + 3*z + 327
What is the d'th term of 352, 724, 1114, 1522, 1948?
9*d**2 + 345*d - 2
What is the w'th term of 207, 832, 1881, 3360, 5275, 7632?
w**3 + 206*w**2
What is the l'th term of -269522, -539070, -808608, -1078130, -1347630?
l**3 - l**2 - 269552*l + 30
What is the f'th term of -71839, -287405, -646689, -1149697, -1796435?
-f**3 - 71853*f**2 + 15
What is the s'th term of 1351, 2964, 4577?
1613*s - 262
What is the g'th term of 33321, 33332, 33343, 33354, 33365, 33376?
11*g + 33310
What is the w'th term of 127, 264, 431, 640, 903, 1232, 1639?
2*w**3 + 3*w**2 + 114*w + 8
What is the y'th term of 497, 1950, 4371, 7760?
484*y**2 + y + 12
What is the g'th term of -5481, -11155, -17019, -23073?
-95*g**2 - 5389*g + 3
What is the b'th term of -89, 15, 503, 1567, 3399, 6191, 10135?
32*b**3 - 120*b - 1
What is the t'th term of 23919, 23883, 23823, 23739, 23631?
-12*t**2 + 23931
What is the o'th term of -45951, -91898, -137845?
-45947*o - 4
What is the s'th term of 7754, 15513, 23260, 30989, 38694, 46369, 54008, 61605?
-s**3 + 7766*s - 11
What is the h'th term of 8, -85, -212, -373, -568?
-17*h**2 - 42*h + 67
What is the l'th term of 3605, 7189, 10757, 14315, 17869, 21425?
l**3 - 14*l**2 + 3619*l - 1
What is the y'th term of -626607, -626608, -626609, -626610?
-y - 626606
What is the o'th term of -233, -275, -337, -425, -545, -703, -905?
-o**3 - 4*o**2 - 23*o - 205
What is the u'th term of 3306, 3314, 3326, 3342, 3362, 3386, 3414?
2*u**2 + 2*u + 3302
What is the v'th term of -548, -2326, -5290, -9440, -14776, -21298?
-593*v**2 + v + 44
What is the z'th term of 495402, 495396, 495380, 495348, 495294, 495212, 495096?
-z**3 + z**2 - 2*z + 495404
What is the z'th term of 3263, 3267, 3271, 3275, 3279?
4*z + 3259
What is the l'th term of -46, -105, -166, -211, -222, -181, -70, 129?
3*l**3 - 19*l**2 - 23*l - 7
What is the a'th term of -1411, -5675, -12781, -22723, -35495, -51091, -69505, -90731?
a**3 - 1427*a**2 + 10*a + 5
What is the c'th term of -977, -1979, -3007, -4067, -5165, -6307, -7499, -8747?
-c**3 - 7*c**2 - 974*c + 5
What is the u'th term of 204, 389, 560, 717, 860?
-7*u**2 + 206*u + 5
What is the r'th term of 18341, 36666, 54995, 73328, 91665, 110006, 128351?
2*r**2 + 18319*r + 20
What is the s'th term of -265, 23, 503, 1175?
96*s**2 - 361
What is the r'th term of 158718, 317446, 476174, 634902?
158728*r - 10
What is the y'th term of -118, -446, -994, -1762?
-110*y**2 + 2*y - 10
What is the v'th term of -129536, -129537, -129538, -129539, -1
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 3*o*y**2 + 2*y**3 wrt o?
8*k*y**3 + 406*k + 22
Find the third derivative of 4*k*m**3*y**2 - k*m**2*y**3 + 2148*k*m**2 - 6*k*y - 22330*m**3*y**3 wrt m.
24*k*y**2 - 133980*y**3
Find the first derivative of 9*p**3*t**3 - 2329*p*t**3 + 41763*t**3 wrt p.
27*p**2*t**3 - 2329*t**3
What is the second derivative of -20575*j**2*v**2 - j**2 + 710*j*v - 19*v wrt v?
-41150*j**2
What is the third derivative of -421*w**6 + 1120*w**4 - 228098*w**2 + 2*w - 2 wrt w?
-50520*w**3 + 26880*w
Differentiate -2*d*g*p**2 + 113632*d*g - 2*d*p**2 - d - 41983*g*p**2 with respect to p.
-4*d*g*p - 4*d*p - 83966*g*p
What is the second derivative of 16*l**2*r**3 - 4560*l**2*r - 124*l*r**3 - 82*l*r**2 + r wrt l?
32*r**3 - 9120*r
What is the second derivative of 33*p**4 - 669*p**3 - 2*p**2 + 464*p + 4184?
396*p**2 - 4014*p - 4
Find the first derivative of -16*s**2*t - 9*s**2*z - 2589*s*t**2*z - 4*s*t**2 - s*t*z + 10594*t wrt z.
-9*s**2 - 2589*s*t**2 - s*t
What is the derivative of 4203286*f - 4371053?
4203286
Find the third derivative of -2*l**2*r**3 - l**2*r + 29*l**2 + 30*l*r**3 + 9895*r**3 - 312*r**2 + 42 wrt r.
-12*l**2 + 180*l + 59370
What is the second derivative of -7086058*m*x**2 + 909*m*x - m + 4*x - 2 wrt x?
-14172116*m
Find the second derivative of 5*p**2*x**2 - p**2*x - 90*p**2 - 3022*p*x**2 + x**2 wrt p.
10*x**2 - 2*x - 180
Find the first derivative of b*y**2 - 347*b*z**3 + 25*y**2*z**3 - 7*y**2 + 14*y + 1 wrt z.
-1041*b*z**2 + 75*y**2*z**2
Find the first derivative of -74*c**2*w - 72*c**2 + 23*c*w + 3*c + 6 wrt w.
-74*c**2 + 23*c
What is the derivative of 480074*q**2 + q + 2531933 wrt q?
960148*q + 1
Differentiate 3143*a**3 - 77*a*l**3 + 3*l**3 + 2*l**2 - 2*l - 2189 with respect to a.
9429*a**2 - 77*l**3
What is the second derivative of -15848*m**3 - 6*m**2 + 204728*m wrt m?
-95088*m - 12
Find the second derivative of 31656*n**3 - 11*n - 649 wrt n.
189936*n
Find the first derivative of -5*n**4 - 775*n**2 + 1080117 wrt n.
-20*n**3 - 1550*n
Find the second derivative of 154*d**2*h**5 - 4169*d**2*h**3 + 2*d**2*h - 29*d**2 + 4634*d*h wrt h.
3080*d**2*h**3 - 25014*d**2*h
Find the first derivative of 177*l**3*q - 2*l**2 + 1158*l*q - 5960*q - 29 wrt l.
531*l**2*q - 4*l + 1158*q
What is the derivative of 40*f*g - 14771*f + 78*g**2 wrt g?
40*f + 156*g
Find the second derivative of 287365*i**3 + 5*i - 2086.
1724190*i
Find the second derivative of -55*d*f**3 - 41*d*f**2 - 569124*d*f - 2*d + 42*f**3 + f wrt f.
-330*d*f - 82*d + 252*f
Find the first derivative of 482*h**2 + 30*h - 92771 wrt h.
964*h + 30
Find the second derivative of 13948*q**3 - 25*q**2 - 37*q + 32648 wrt q.
83688*q - 50
Find the second derivative of 2064681*b**4 + 2191130*b wrt b.
24776172*b**2
Differentiate 31205*p**2 + 44536 wrt p.
62410*p
What is the second derivative of 3256*y**3 + 461*y?
19536*y
What is the second derivative of -502046*o**2 + 4300*o + 7?
-1004092
What is the first derivative of 97*a**4 + 4*a**2 - 28*a - 35057 wrt a?
388*a**3 + 8*a - 28
What is the second derivative of 1725325*m**3*r**3 + 2*m**3*r + 245294*m**3 - r wrt r?
10351950*m**3*r
What is the third derivative of 248894*h**3 + 206077*h**2?
1493364
Differentiate 5111526*t*v**2*y - 5*v**2*y - 215*v**2 - y - 684 wrt t.
5111526*v**2*y
What is the first derivative of 5967*k**2 + 467121 wrt k?
11934*k
Find the second derivative of 131*o**5*u + 262*o**2*u + o*u - o + 2*u + 46829 wrt o.
2620*o**3*u + 524*u
What is the third derivative of -10850*m**4 - m**3 + 16*m**2 - 11110*m - 2?
-260400*m - 6
Find the third derivative of -41915*b**3 + 20787*b**2 wrt b.
-251490
Find the first derivative of -29967*x**2 + 374052.
-59934*x
What is the derivative of -11378*k*p + 61204*p wrt k?
-11378*p
Find the third derivative of -44*m**3*v**3 - 64*m**3 + m**2*v**2 + m*v**4 - 9*m*v**2 + 21*v**4 + 2*v + 1 wrt v.
-264*m**3 + 24*m*v + 504*v
What is the third derivative of 2198756*a**4 + 2096369*a**2 wrt a?
52770144*a
What is the third derivative of -295845*l**3*n**2 - 2*l**2 - l*n**2 + 20350*l wrt l?
-1775070*n**2
Find the first derivative of 2*m**3 - 26190*m**2 - 2*m + 224761 wrt m.
6*m**2 - 52380*m - 2
Find the third derivative of -37566*k**3 + 3*k**2 + 9224 wrt k.
-225396
What is the second derivative of 1370306*g**2 - 803263*g wrt g?
2740612
What is the second derivative of 10*b**2*k**2*u + 3*b**2*k - 391*b**2 + 22*b*k**2*u + b*k**2 - 2*b*k*u - 24*k**2 - 2*u wrt b?
20*k**2*u + 6*k - 782
What is the third derivative of -5*v**6 + 11*v**4 + 90*v**3 - 793*v**2 + 21?
-600*v**3 + 264*v + 540
What is the third derivative of d*s**3*u**2 - 552078*d*s**3 + 3*d*s**2 - 58*d*s*u**2 - 2*d*s + 22*s**2*u**2 - 1 wrt s?
6*d*u**2 - 3312468*d
What is the second derivative of 119000*n**2*p - 5*n*p - 195*p + 34 wrt n?
238000*p
Differentiate -285117*h + 363855 wrt h.
-285117
What is the second derivative of -150852*m**4 - 52*m - 782 wrt m?
-1810224*m**2
What is the third derivative of -36*i**6 - 183*i**4 + i**3 - 194*i**2 - 119*i + 3 wrt i?
-4320*i**3 - 4392*i + 6
Find the second derivative of -3383674*b**3 + 6086943*b wrt b.
-20302044*b
Find the second derivative of -82108*p**2 - 41047*p wrt p.
-164216
Differentiate 78*l*n**2*w**2 - 778*l*n**2 - 3*n**2*w + 8*n*w**2 + n - 4984*w**2 with respect to l.
78*n**2*w**2 - 778*n**2
What is the third derivative of -41*o**4 + 1824*o**3*w**2 + 328703*o**2*w**2 wrt o?
-984*o + 10944*w**2
Find the first derivative of -1496091*t**2 - 62739.
-2992182*t
Find the first derivative of 244*d**2*g**2 + 48*d**2*g + 37*g**2 + g + 121 wrt d.
488*d*g**2 + 96*d*g
What is the third derivative of 9890*m*n**3 + 547*m*n**2 - 9*m + 8*n**3*r + 2*n*r wrt n?
59340*m + 48*r
Find the second derivative of -4*w**5 - 8292*w**3 - 638425*w wrt w.
-80*w**3 - 49752*w
Find the third derivative of -317527*h**3 + 188*h**2 + 2565 wrt h.
-1905162
What is the derivative of 611705*d*o + 2963696*o wrt d?
611705*o
What is the first derivative of 48674*o**2 + 3*o + 50227?
97348*o + 3
Find the second derivative of 440*k**3*v**2 - 2*k**2*v**2 + 20*k**2*v + 216*k*v - 6794*v**2 wrt k.
2640*k*v**2 - 4*v**2 + 40*v
Find the second derivative of -3889*s**5 - 189*s - 13 wrt s.
-77780*s**3
What is the derivative of -13110*t**3*y**2 - 126507*t**3 + 2*y**2 wrt y?
-26220*t**3*y + 4*y
What is the first derivative of 18394*q**4 + 2433 wrt q?
73576*q**3
Find the third derivative of -54286*a**3 - 350*a**2 - 24*a wrt a.
-325716
What is the second derivative of -1992*b*g**2*z - 11*b*g + 38*g**2*z + g**2 + 32*g*z - 102*z wrt g?
-3984*b*z + 76*z + 2
Find the second derivative of 212269*v**3 - 2*v**2 - 7*v - 83749 wrt v.
1273614*v - 4
What is the first derivative of a**2*q**3 + 2750*a**2*q**2 - 6*a**2 + 2380*a wrt q?
3*a**2*q**2 + 5500*a**2*q
What is the third derivative of -2*w**5 - 20488*w**4 - 37919*w**2 wrt w?
-120*w**2 - 491712*w
What is the third derivative of 2*f*n**5 - 463451*f*n**3 + 2*f*n**2 + 1174*f*n + n**3 - 3*n**2 wrt n?
120*f*n**2 - 2780706*f + 6
What is the derivative of -29875*h**4*w + 2*h**3*w**2 + 79*w**2 + 94*w + 2 wrt h?
-119500*h**3*w + 6*h**2*w**2
Find the second derivative of 30111*m**2 + 18835*m wrt m.
60222
Find the first derivative of 6746*n**3*s**2 - 14*n**3 - 442*n**2 - 4*n*s - 3*s**2 + 3 wrt s.
13492*n**3*s - 4*n - 6*s
What is the third derivative of 698301*y**3 + 21*y**2 - 8957*y?
4189806
Find the first derivative of -387778*m*y + 653*y - 28 wrt m.
-387778*y
What is the second derivative of -1126918*l**4 - 66773*l - 10 wrt l?
-13523016*l**2
Differentiate 2171009*p + 1828846.
2171009
What is the third derivative of -3*b**3*u**2*v + 8615*b**3*v**3 + 2*b**2*v + 1276*b*u**2*v + 8*b*v**3 wrt b?
-18*u**2*v + 51690*v**3
What is the second derivative of -364257*x**2 - 535177*x?
-728514
What is the first derivative of 497837*k**2 + 2208418?
995674*k
What is the derivative of -84*s**4 + 3*s**2 - 3*s - 123823?
-336*s**3 + 6*s - 3
What is the third derivative of 474286*s**3 - 2931*s**2 - 139?
2845716
What is the second derivative of 28100*s**3 + 7550*s + 1 wrt s?
168600*s
What is the third derivative of -15190*i**3*n - 3*i**2*n + 27204*i**2 - 2*i*n wrt i?
-91140*n
Find the second derivative of 7*s**5 - 10*s**4 + 96*s**3 + 2*s + 19243 wrt s.
140*s**3 - 120*s**2 + 576*s
Find the second derivative of 1697*h**3*q**2 + h**3*q + 76*h**3 + 16*h**2*q**2 + 42*q wrt q.
3394*h**3 + 32*
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 0 = 2*j + 4, 0 = x - 2*j + 3*j - 6. Let d(s) = -5*s**2 + s + x*s**2 - 4*s + 0*s**2 + 21. List the prime factors of d(-8).
3, 79
Suppose -51*k - 2*y = -54*k + 2837, k + 3*y = 931. Suppose -6*z - k + 5971 = 0. List the prime factors of z.
2, 419
Suppose 1226689 - 412477 = 27*n. What are the prime factors of (10/(-15) - n/18)/(-2)?
2, 419
Let n(b) = -92*b + 18. Let z(y) = -2*y**2 - y + 7. Let t be z(2). What are the prime factors of n(t)?
2, 3, 7
Let c(j) = -j**2 + 11*j - 19. Let f be c(10). Let h be 354/f + (-2)/(-6). Let q = h + 100. List the prime factors of q.
61
Suppose 5*h = 3121 + 8304. Let b = -1086 + h. List the prime factors of b.
11, 109
Let u be 2334/(3/(-9) + 12/9). Suppose 4*k - u = -358. Suppose 0 = 4*d - k - 18. List the prime factors of d.
2
Suppose -33*a + 30*a + 7227 = 0. Let c = -887 + a. What are the prime factors of c?
2, 761
Let w(l) = -3*l**3 - l**2 - 6*l + 13. Let r be w(-6). Suppose -10*a = r - 4951. What are the prime factors of a?
3, 11, 13
Let q(i) = i + 2*i**2 + i - 6*i**3 - 7*i**2 + 13. What are the prime factors of q(-4)?
3, 103
Let m = -242 - -245. Let h = 526 - -278. List the prime factors of (h/36)/(1/m).
67
Let i = 237 - 233. Suppose -2*l + i*c + 1248 = 0, -2*l - 4*c - 597 = -1813. What are the prime factors of l?
2, 7, 11
What are the prime factors of (-194130)/(-8) - (3/(-18) - 14/24)?
3, 8089
Let n = -4737 + 19342. List the prime factors of n.
5, 23, 127
Suppose -13*a + 10*a + 9626 = -l, 4*l + 3205 = a. Let p = a - 2243. What are the prime factors of p?
2, 3, 7, 23
Suppose 125*y + 1707849 = 5057974. What are the prime factors of y?
26801
Let k(c) = -637*c + 1567. What are the prime factors of k(-22)?
15581
Let s(d) = 2*d**2 - 6*d - 16. Let k be s(-2). Suppose k*j - 3*g = 733, 7*j - 350 = 5*j - 4*g. What are the prime factors of j?
181
Suppose 0 = -49*m - 85933 + 263411. What are the prime factors of m?
2, 1811
Let k(a) = 98*a + 1852. List the prime factors of k(43).
2, 3, 337
Let x = 138 - 87. Suppose -15 = -3*b + x. Let r = 133 - b. What are the prime factors of r?
3, 37
What are the prime factors of (-16 + -2555)*((-30)/9 + -2)?
2, 857
Suppose -24*r + 8690 + 14806 = 0. What are the prime factors of r?
11, 89
Let n be (-52)/8 + ((-4)/8 - 0). Let h(q) = 242*q**3 + q**2. Let y be h(1). Let j = y + n. What are the prime factors of j?
2, 59
Let j = 102810 + -72450. List the prime factors of j.
2, 3, 5, 11, 23
Suppose 9205 = -36*n + 113*n - 124775. What are the prime factors of n?
2, 3, 5, 29
Suppose 70*g - 2617646 = 201*g - 10118051. List the prime factors of g.
3, 5, 11, 347
Suppose 3*a - 353*r + 349*r - 63262 = 0, 3*a - 5*r - 63263 = 0. What are the prime factors of a?
2, 13, 811
Let x = -7 + 11. Suppose -2*n + 4 = -4, -x*n + 76 = 2*y. List the prime factors of (84/y - 3) + 332/10.
3, 11
Let d(v) = 46*v. Let g be d(2). Let s = -94 + g. What are the prime factors of 95 + s + 1 + 0/(-16)?
2, 47
Let h = -197 - -214. Suppose -13111 + 1602 = -h*v. What are the prime factors of v?
677
Let l be (21/14)/(7/6 - 1). Suppose -3*f - 3402 = -l*f. What are the prime factors of f?
3, 7
Suppose 5*f - 33 = -q, -q + 6 = 3*f - 5*q. Suppose 20*y - f*y - 1806 = 0. List the prime factors of y.
3, 43
Let d = -43 + 48. Suppose 2*x + d*c - 72 = 682, 5*x + c - 1885 = 0. What are the prime factors of x?
13, 29
Suppose -2*q + 74 = 64. Suppose -5*u = -q*m + 665, -2*m + 4*m = 3*u + 262. What are the prime factors of m?
137
Let j = 10584 + 108. Suppose 18*x - j = 7*x. List the prime factors of x.
2, 3
Let h = 1283 + -139. Let q = 18 + h. List the prime factors of q.
2, 7, 83
Let n(a) = -11*a - 7. Suppose 4*y + 0*y + y = 0. Suppose -2 = o - y*o. List the prime factors of n(o).
3, 5
Let l(b) = 288*b**2 + 175*b + 340. List the prime factors of l(-2).
2, 571
Suppose 15*n - 16*n - 52305 = 0. List the prime factors of n/(-220) + (-2)/(-8).
2, 7, 17
Let p be 1/(-2) - -42*1617/28. Suppose 0 = -5*f - 3*y + p, f - 3*y = -7*y + 468. List the prime factors of f.
2, 61
Suppose 5*m - 4*o = 164, 3*m - 101 = -o + 6*o. Suppose 11176 = m*b - 26680. List the prime factors of b.
7, 13
Let j = -28 - -86. List the prime factors of (0 - 1) + 0 - (17 - j).
2, 5
Let o(d) = -d**3 + 23*d**2 + 4. Let r be (-1*2)/((-2)/92*4). Let n be o(r). Suppose n*a - 92 = -m, 0*m - 5*m - a + 460 = 0. What are the prime factors of m?
2, 23
Let v = 28884 + -17970. List the prime factors of v.
2, 3, 17, 107
Suppose 4*z = -a - 9435, -9984 = 4*z + 5*a - 569. List the prime factors of (1 + 1)*(-3 + z/(-16)).
17
Suppose 0 = 4*k - 14 + 2. Suppose 1 = u - k. Suppose u*s - 54 = -2. What are the prime factors of s?
13
Let u(o) = -7*o**3 - 15*o**2 - 16*o - 23. What are the prime factors of u(-5)?
557
Let m(q) = -q**3 + 26*q**2 + 51*q + 18. List the prime factors of m(21).
2, 3, 61
Let u = 17 - 27. Let k be 46 + 5*(-4)/u. Suppose -k*p + 51*p = 354. List the prime factors of p.
2, 59
Let t(o) be the first derivative of -o**4/4 - 5*o**3/3 + 9*o**2 + 30*o + 26. List the prime factors of t(-12).
2, 3, 137
Let p(t) be the second derivative of 0 + 29/2*t**2 + 2/3*t**3 - 13/12*t**4 + 13*t - 1/20*t**5. What are the prime factors of p(-14)?
13
Suppose 21 = 4*q - u, q - 2*q = -5*u - 29. Let c be q + 1 + 13/(65/(-10)). Suppose k = -c*r - k + 161, 2*k = 4*r - 196. What are the prime factors of r?
3, 17
What are the prime factors of (54579/92)/(-4 + 226/56)?
3, 7, 113
Suppose -2761 = 65*l - 74586. List the prime factors of l.
5, 13, 17
Suppose -539*k = -531*k - 13544. Let u = -657 + k. List the prime factors of u.
2, 7, 37
Suppose 4*c + q - 25130 = 0, 2*c - 12598 = 114*q - 109*q. List the prime factors of c.
2, 1571
Let g = 3960 + -600. What are the prime factors of g?
2, 3, 5, 7
List the prime factors of 222/(-4)*(-1160)/60 - 8.
3, 5, 71
Let v(u) = 12501*u - 1137. What are the prime factors of v(6)?
3, 24623
Let u be (12 - 6 - 5)/((-3)/(-7281)). Suppose -5*d - 4*a = -u, a - 969 = 4*d - 6*d. List the prime factors of d.
3, 7, 23
Let x = -175 + 178. List the prime factors of -2 - (x - 2) - (0 - 223).
2, 5, 11
Suppose p - 3*t - 1 - 14 = 0, -4*p + t = -27. Suppose 0 = 2*q + p*q - 1568. List the prime factors of q.
2, 7
List the prime factors of -57520*((-1)/(7/4))/(520/364).
2, 719
Let m = -653 + 921. Suppose z - m = -3*k, 4*k = -2*z - z + 354. List the prime factors of k.
2, 3, 5
Let u = -23592 + 47410. Suppose -732 = 17*n - u. What are the prime factors of n?
2, 7, 97
Let q(w) = w**2 + 4*w - 14. Let j be q(-7). Suppose j*f + 0*f = 16716. What are the prime factors of -2*(2/(-14) - f/42)?
2, 3, 19
Let q be 10 - 10 - (-1008)/1. Suppose 0 = -296*l + 290*l + q. What are the prime factors of l?
2, 3, 7
Let r = -18633 - -25173. What are the prime factors of r?
2, 3, 5, 109
List the prime factors of (-23585040)/(-2379) + (-2)/(-13).
2, 4957
List the prime factors of ((-12)/4)/(3838164/383820 + 10/(-1)).
5, 6397
Suppose -13*t + 6*t + 1036 = 0. List the prime factors of t - 3/9*15.
11, 13
Let c = 31 + -25. What are the prime factors of (-9178)/(-182)*(1 + c)?
353
Let s be 2/20*4 - 44/110. Suppose -r = 4 - 8, s = -4*g + r + 932. What are the prime factors of g?
2, 3, 13
Suppose 3*y - 5*u + 220 = 0, -12*y - 2*u = -13*y - 75. Let n = y - -316. What are the prime factors of n?
251
Suppose 20817 + 66947 = 14*t - 74636. What are the prime factors of t?
2, 5, 29
Suppose 2*p = 4, -4*p + 8 = i - 6. Let o be 15/6*i/5. Suppose -16 = 4*t, 8*t - o*t = -3*c + 100. List the prime factors of c.
2, 5
Let w(c) = -c**2 - 14*c - 21. Let s be w(-11). Let b = s + -9. Suppose -b*h = -3*d + 78, -d + 3*h = -h - 32. List the prime factors of d.
2, 3
Suppose -11*y + 72 = -5*y. Suppose z = -4*z - s + y, z - 5*s = -8. Suppose 5*t - 181 = -3*x - 26, -x - z*t + 50 = 0. What are the prime factors of x?
2, 3, 5
Let l be -4*(6/(-39) - (-2035)/130). Let k = l - -67. List the prime factors of k.
5
Let w be (-370 - 1 - (5 - -1))*-1. Let x = 555 - w. List the prime factors of x.
2, 89
List the prime factors of -6*44010/(-140) - 2/14.
2, 23, 41
Suppose -154*x + 1224270 = -64*x. What are the prime factors of x?
61, 223
Suppose 9*p - 14347 = 3617. Let t = p + -708. What are the prime factors of t?
2, 7, 23
Suppose 11*a - 3732 = -a. List the prime factors of a/(7 - (-104)/(-16)).
2, 311
Let q = 144 + -140. Suppose 9*b = 8*b + 2*g + 119, b + q*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 = -p for z.
-5
Let z(v) = -4*v**3 - v**2 + 4. Let n be z(-2). Let l be (-21)/(-6)*n/14. Solve 2*c - l = -2*c for c.
2
Suppose 318 = -7*c + 360. Solve -18*b = -16*b + c for b.
-3
Let w = 1707 - 1683. Solve 11*s - 5*s - w = 0 for s.
4
Let a(v) = -1. Let r(x) = -x + 16. Let u(s) = -3*a(s) + r(s). Let m be u(10). Solve 3 = 3*k + m for k.
-2
Let j = -3102 - -3106. Let n(q) = q**3 - 3*q**2 - q + 3. Let m be n(3). Solve -f - 1 - j = m for f.
-5
Let p be (-3)/(-3)*(1 - -28). Let g = p - 14. Solve -g = -2*t - t for t.
5
Let k be ((-112)/84)/(8/(-30)). Solve -k*l - 3 = -6*l for l.
3
Let r = -46 + 27. Let s = r - -25. Solve 0 = 3*c - 0*c + s for c.
-2
Suppose -1 + 16 = 3*y. Suppose 4 = -3*n + y*n. Solve -n*m = m for m.
0
Suppose -9*n + 18*n - 27 = 0. Solve 0 = n*u - u + 8 for u.
-4
Let m(s) = -s**2 + 15*s - 14. Let j be m(1). Solve j = -4*w + w - 3 for w.
-1
Let t = -6 - -8. Suppose -t*n + 15 = n. Let m(a) = a**3 - 4*a**2 - 5*a + 3. Let q be m(n). Solve -4*y + q = -1 for y.
1
Suppose -5*a + 6*a - 2 = 0. Suppose n + 0*n = a. Solve -n*k - 6 = -16 for k.
5
Suppose -5*z - 32 = -117. Let w = z + -12. Solve 0*r - w*r = 15 for r.
-3
Let t be 7 - ((-21)/(-9) - (-1)/(-3)). Suppose 0*i - 20 = 5*i, -20 = 5*k + t*i. Solve -3*w - 4 - 2 = k for w.
-2
Let v = 2995 - 2989. Solve -3 = v*a + 3 for a.
-1
Suppose -10*t + 87 = 19*t. Solve 0 = -s + t*s for s.
0
Let g be -2 + (-8)/10*(-40)/16. Solve g = -0*x - 4*x - 8 for x.
-2
Let n(z) = 6*z + 110. Let a be n(-17). Solve 0 = 9*o - a*o for o.
0
Let o(a) = 2*a - 11. Let j be o(6). Let s = 2 - j. Solve -4 = 3*p - s for p.
-1
Let p = 391 - 384. Solve 0 = -p*a - a - 40 for a.
-5
Let u be 0/(-16)*(-2)/4*-1. Let y be u - 1 - -1 - -4. Solve 7 + 1 = -y*a for a.
-2
Let k = -30 - -32. Solve -10*h + 12 = k for h.
1
Let w(a) = 43*a**3 - 1 + 7 + 10*a + 8*a**2 - 44*a**3. Let i be w(9). Solve -6*g + g = -i for g.
3
Let f(h) = h**2 + 7*h - 4. Let c be f(-8). Let q(r) = -r**3 + 2*r + 8*r**2 - 15*r + 6*r. Let y be q(7). Solve y*x = -c*x + 12 for x.
3
Let z(w) = -w**3 - 12*w**2 + 2*w + 6. Let c be z(-12). Let k be 3 - c/(-5) - (-6)/10. Solve 0*g - 5*g = k for g.
0
Let l be 4 - (2 - (-5)/5). Let p(k) = 25*k**3 + k**2 - 2*k. Let n be p(l). Let r = -24 + n. Solve r = 2*a - 2 + 8 for a.
-3
Suppose r + 3 = 3*b, 0*r + 29 = r + 5*b. Suppose l - 4*x + 6 = 0, -6 - 2 = l - 5*x. Solve r = -l*h - 1 for h.
-5
Let x be ((-2)/8)/((-4)/80). Suppose 30 = 3*i + x*a, -3*a - 10 = -i - a. Solve 2*v + i = 2 for v.
-4
Let o = 0 - 6. Let l(c) = c**3 + 5*c**2 - 6*c + 4. Let f be l(o). Let n = 9 - f. Solve 0 = 2*x - 1 + n for x.
-2
Let a = -15 - -11. Let w = a - -9. Suppose -5*k - w*s + 25 = 0, -5*s + 12 - 37 = -5*k. Solve 1 = 2*o + k for o.
-2
Suppose 3*z = -z + 4. Suppose 4*y - y + 52 = -v, -3*y + 4*v = 32. Let l be -1*4/y*-4*0. Solve t - z = -l for t.
1
Suppose 0 = -306*h + 315*h - 126. Solve -h = 2*g + 5*g for g.
-2
Let f(l) = -16 - 5*l + 27 + 4*l - 2. Let u be f(4). Solve -u*k + 0*k = -25 for k.
5
Let s be 4 + 3/3 + -4. Suppose -5*o + 3*i + 5 = 2*i, o + i = s. Solve -5*z = 14 + o for z.
-3
Let r = -716 + 719. Solve -r*q - 12 = 9*q for q.
-1
Let n = -60 - -64. Let y = 13 - 6. Suppose 2*j = y*j. Solve n + j = -t for t.
-4
Let n(l) = 17*l - 1164. Let x be n(69). Solve -37*b = -28*b + x for b.
-1
Suppose 0 = -c - 4*c + 45. Let o(q) = q**3 + 5*q**2 - 7*q - 5. Let i be o(-6). Let u be (0/16)/((-2)/(-2)). Solve -5*z - c - i = u for z.
-2
Suppose 0 = -o + 3*u - 39, 0*u = 5*o + 2*u + 178. Let j(m) = -36*m + 1. Let y be j(1). Let c = y - o. Solve -c = -b + 1 for b.
2
Let k(b) = 0*b + 3*b + 2 + 2*b - 3*b. Let a be k(1). Solve -2*g = -a + 2 for g.
1
Let x(s) = -s**2 - 3*s**2 + 2*s**2 - 9*s - 4 + 3*s**2. Let j be x(10). Solve n + n + j = 0 for n.
-3
Let u = 3 - -57. Let q = 75 - u. Solve v - 4*v - q = 0 for v.
-5
Let v(c) = -c**3 + 13*c**2 - 13*c - 3. Let s be v(12). Let m(o) = -o**3 - 16*o**2 - 17*o - 28. Let z be m(s). Solve z*f = -f for f.
0
Suppose 4*i = -h - 4, 0 = -5*h + i + 1. Let m be ((-6)/(-9))/((-4)/(-6)). Suppose -s - u - 3 = -1, 5*s - u - 2 = 0. Solve -v + h*v + m = s for v.
1
Let y(l) = -6*l**3 + 5*l**2 + 3*l - 3. Let g be y(-1). Solve 0 = -8*x + g*x + 3 for x.
1
Suppose -3 = 58*m - 59*m. Solve -16 = m*k + k for k.
-4
Let a be (65/13 + (-4 - 0))*0. Solve a = 3*z - 2*z - 1 for z.
1
Suppose 58*y = 80*y - 22. Solve -3*j + 16 = y for j.
5
Let o(s) = 0*s - 63 - 2*s + 55. Let u be o(-5). Solve 2*y - 4 + u = 0 for y.
1
Suppose 4 = 5*o + 29. Let u be 2 + -3 - (2 + o). Let t be 10/15*9/u. Solve p + 2 = -t for p.
-5
Let o(i) = -i**2 - 13*i - 16. Let q be o(-11). Suppose 84 = -146*u + 153*u. Solve 2*f = q*f - u for f.
3
Let k(w) = 5*w - 75. Let p be k(16). Solve 3*c + p - 20 = 0 for c.
5
Let d be -4 - -12 - (-2)/(-2). Let u be ((-7)/(-35))/(2/130). Let g = u - d. Solve -2*b = -g*b + 8 for b.
2
Suppose -4 = i - 6. Suppose -2*q = i, 2*m - 3*q - 8 = -3. Let v be 1/2 + m/(-2). Solve 0 = -v*r - 3*r - 12 for r.
-4
Suppose 11*s - 532 = -191. Solve -6 + s = -5*q for q.
-5
Let n = -294 - -296. Solve 0 = -0*w + n*w + 10 for w.
-5
Suppose 4*j = -44 + 132. Solve -6 = -20*w + j*w for w.
-3
Let c(r) be the second derivative of r**6/720 + r**5/40 + 5*r**4/12 - 10*r. Let l(h) be the third derivative of c(h). Let o be l(7). Solve -o = 2*b + 3*b for b.
-2
Suppose -3 = c - 3*l, -4*c + 0*l = 4*l + 28. Let q = c + 8. Suppose 0 = -2*b + 6. Solve -x - b = q for x.
-5
Let y(n) = n**3 + 20*n**2 - 21*n + 4. Let q be y(-21). Suppose j - q*j = 0. Solve 2 = -l - j for l.
-2
Let h(z) = 2*z + 23. Let k be h(-9). Suppose k*d + 4 = o + 3*o, -2*o + 2 = -5*d. Solve -4*i = -d*i + 16 for i.
-4
Suppose 6*h - 13 + 37 = 0. Let n be h - 1*(-7 + -1). Solve j = -3*j - n for j.
-1
Let d = -197 - -201. Solve 0 = 2*p + d - 8 for p.
2
Suppose 4 = -12*p + 28. Let t be (3/(-4))/(3/(-12)). Suppose -5*d - 3 = -t*m, -m = -p*d + 5*d - 15. Solve z + 20 = m*z for z.
4
Let y be (-2 - 12/(-9))*-18. Suppose -4*j - 2*j = -y. Suppose 0 = g + w - 5, 4*w = -0*g + j*g + 8. Solve -6 = -2*k - g for k.
2
Let o(q) = q**2 - 4*q + 6. Suppose -259 + 256 = -n. Let k be o(n). Solve -4 - 2 = -k*x for x.
2
Let v be (2/(-3))/(2/(-12)). Let w be v/4*1*0. Suppose -4*u = -w*u. Solve -4*h = -u*h for h.
0
Let n be 3/9 + (-29)/(-3). Suppose -n = -4*q - 2. Solve 10 = 3*d + q*d for d.
2
Suppose -4*r - q = 4*q - 17, 15 = -5*q. Let s be (r/6)/(16/24). Solve 3*w = -s*w + 25 for w.
5
Suppose 2*s - 6*s = -x - 18, 2*s + 4*x = 0. Solve 0 = 4*l - s + 24 for l.
-5
Let x = -139 + 173. Solve -3*f + 31 - x = 0 for f.
-1
Suppose 2*h = -6*h + 32. Let f be (-21)/(-3) - h*3/6. Solve -8*b + 12 = -f*b for b.
4
Let z be (-4)/1*(-1 - 0). Solve -z = -b + 2*b for b.
-4
Let r(s) = s**2 + 8*s - 102. Let m be r(-15). Solve -t - m*t = -8 for t.
2
Let f be (10/2)/((-15)/(-9)). Solve -25 = f*i - 8*i for i.
5
Let w(h) = 2*h**3 + 21*h**2 + 24*h - 5. Let y be w(-9). Solve 6*t = -4 + y for t.
3
Let c = 114 - 117. Let v be (c - (-24)/9) + (-40)/(-12). Solve -1 + 10 = -v*f for f.
-3
Suppose 0 = -5*q + h + 15, q - h + 5*h - 3 = 0. Suppose q*x - i = 13, -3*x + i = 3*i - 1. Solve -x = -s - 2*s for s.
1
Let d = -2 + 5. Let s(j) = j**3 - 2*j**2 - 58 - d*j**2 + 51 - 4*j. Let n be s(6). Solve 0*o = n*o - 15 for o.
3
Suppose -3*q - 4*a = -2*q - 26, -3*a - 84 = -5*q. Solve u = 7*u - q for u.
3
Suppose 3*h + 0 = 15. Let x(o) be the second derivative of -o**5/20 + 3*o**4/4 + o**3/6 - 5*o**2/2 + 4*o. Let j be x(9). Solve -j - 1 = h*f for f.
-1
Let r = 28 + -28. Suppose 2*n - 4*n = r. Solve n = -4*f - f + 10 for f.
2
Let i be 4 + (1/3*0)/(-6). Solve 111 = i*d + 99 for d.
3
Let x = -992 - -1000. Solve 33 - 1 = -x*j for j.
-4
Let h(v) = v**2 + 8*v + 6. Let q be h(-5). Let m(n) = -n**3 - 10*n**2 - 10*n - 9. Let p be m(q). Solve w - 2*w + 1 = p for w.
1
Suppose q + 14 = z, -11*z + 15*z + 5*q = 29. Solve z*w = 13*w - 6 for w.
3
Suppose -198*s = -218*s + 160. Solve s = -3*v - 1 for v.
-3
Let j(d) = -d**3 + 4*d**2 + 6*d - 20. Let k be j(4). Solve -6 = -10*g + k for g.
1
Suppose 2*f - 36 = b - 5*b, 2*f - 5*b - 27 = 0. Let x(l) = l + 7. Let y(c) = 1. Let i(j) = -x(j) + 6*y(j). Let k be i(-5). Solve -k*g + f = -0*g for g.
4
Let i be (-1701)/(-45) - 1/(-5). Suppose -3*m - 3*u + 46 = -m, u = 2*m - i. Suppose 3*v - m = -2*v. Solve v*p = p for p.
0
Let d(s) = 2*s**2 - 6*s - 5. Suppose 17*p - 22*p = -20. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of -64172*w**4 + 17*w**3 + 2*w**2 + 90*w + 4707 wrt w?
-1540128*w + 102
What is the second derivative of -3*m**2*q**2 - 70*m**2*q + m*q**2 - 24874*q**2 + 1330*q wrt q?
-6*m**2 + 2*m - 49748
Find the second derivative of -68*s**2*x**3 - 61*s**2*x**2 + s**2*x - 2*x - 1123 wrt x.
-408*s**2*x - 122*s**2
Find the second derivative of 3*f*t**2*w**2 + 4*f*w**2 - 2*f*w - 117*t**2*w**2 + 2*t**2 - 183*w wrt w.
6*f*t**2 + 8*f - 234*t**2
Find the second derivative of 209081*d**3*f + 2569*d*f + 2*d wrt d.
1254486*d*f
Differentiate 8*m**3 + 1262*m**2 - 558.
24*m**2 + 2524*m
What is the second derivative of -262643*d**3 + 11729*d - 8?
-1575858*d
What is the derivative of 7*o*p**2*y - 46*o*p*y**2 + 26*o*y**3 + 2*p**2*y + 341*p*y**3 wrt o?
7*p**2*y - 46*p*y**2 + 26*y**3
Find the first derivative of -17334*b*c**3*l**2 + 2*c**3*l + c*l**2 + 10006*c*l wrt b.
-17334*c**3*l**2
What is the first derivative of 983172*o**2*z - 2*o**2 + 2*o + 31539*z - 25 wrt o?
1966344*o*z - 4*o + 2
What is the second derivative of 19477*g**3*i**2 - 375*g**3*i - 36*i wrt i?
38954*g**3
Find the third derivative of -2*l**4 + 447*l**3*w**2 + l**3*w - 24*l**2*w**2 - 2*l**2 + 2*l*w + 74*w**2 wrt l.
-48*l + 2682*w**2 + 6*w
What is the third derivative of -115098*k**6 + 5*k**2 + 2*k - 1409?
-13811760*k**3
What is the third derivative of 2016824*g**4 - 4508*g**2 + 133 wrt g?
48403776*g
What is the first derivative of g**4 - 8*g**3 - 10715*g**2 - 91132?
4*g**3 - 24*g**2 - 21430*g
What is the derivative of 1833*h**3*v**2 - 140*h**3 + 146*v**2 + 51*v - 2 wrt h?
5499*h**2*v**2 - 420*h**2
What is the third derivative of -37*n**4 + 275*n**3 - 1247884*n**2 wrt n?
-888*n + 1650
Find the first derivative of 2919*m*q**2 - 2*m*q*z**2 - 5*m*z - 5*m - q**2*z - 81*q**2 - 17*q*z**2 + 2*z + 5 wrt m.
2919*q**2 - 2*q*z**2 - 5*z - 5
Find the third derivative of d**4 + 600080*d**3*f - 7*d**2*f - 2*d**2 - 305*d*f - 10*d + f wrt d.
24*d + 3600480*f
Find the third derivative of 42*y**6 + 28*y**4 + y**3 + 43*y**2 - 70*y.
5040*y**3 + 672*y + 6
Find the first derivative of -3*r**2 + 11369*r + 56264 wrt r.
-6*r + 11369
What is the second derivative of -86*q**5 + 11366*q**2 - q - 8035 wrt q?
-1720*q**3 + 22732
Find the third derivative of 65219*a**5 + a**2 + 24573*a.
3913140*a**2
Find the third derivative of -2*a**2*p**3 + 2*a**2*p**2 - 6864*a**2 + 145468*p**4 + 2*p**2 wrt p.
-12*a**2 + 3491232*p
What is the second derivative of 823826*f**2 + 9*f + 6622?
1647652
What is the second derivative of -243*j**5*r + 53*j**5 + 7159*j*r wrt j?
-4860*j**3*r + 1060*j**3
Differentiate -1461950*w - 564459 with respect to w.
-1461950
What is the derivative of -1734*j**2 + 49*j + 176386 wrt j?
-3468*j + 49
Find the second derivative of -25*u**4 - 24*u**3 - 2*u**2 - 105119*u wrt u.
-300*u**2 - 144*u - 4
Find the third derivative of -2035801*z**3 + 41*z**2 - 104*z - 6 wrt z.
-12214806
Find the third derivative of 3663*m**4*s + 95*m**3*s - 17*m**2*s - 4*m**2 + 9*m*s + 79*m wrt m.
87912*m*s + 570*s
What is the second derivative of -678755*k**2 + 427778*k?
-1357510
What is the derivative of 43257*g**2 + 92699 wrt g?
86514*g
What is the third derivative of -3986*j**3*o + 7*j**3 + 19536*j**2*o - 2*j*o wrt j?
-23916*o + 42
What is the derivative of 43*o**2*q**2 - 2*o**2*q - 7*o*q**2 + o + 4457*q**2 wrt o?
86*o*q**2 - 4*o*q - 7*q**2 + 1
Find the first derivative of 3*i**3*p - 4432*i*p**3 + 241950*p**3 wrt i.
9*i**2*p - 4432*p**3
What is the first derivative of -x**3 + 436*x**2 + 145*x - 318210 wrt x?
-3*x**2 + 872*x + 145
What is the second derivative of -486*i**2*l**2 + 19*i**2*l + 209*i*l**2 + 4*i*l + 6*l + 77 wrt l?
-972*i**2 + 418*i
What is the third derivative of 38274*b**4 - 1618*b**2 - 9?
918576*b
Find the third derivative of 29770*n**4 + 6270*n**2.
714480*n
What is the second derivative of -69283*j**3*u - 2*j**3 + 4*j**2*u + 337*j + 2006*u wrt j?
-415698*j*u - 12*j + 8*u
Find the second derivative of 284*f**2*g**2*q**2 - 74*f**2*g**2 - f*g**2*q**2 - 12*f*q**2 + 11*f*q + 15*f + 3*g**2*q**2 wrt f.
568*g**2*q**2 - 148*g**2
What is the first derivative of s**2 - 978487*s + 2052439 wrt s?
2*s - 978487
Find the third derivative of 46716*p**6 - p**5 + 29797*p**2 + 1 wrt p.
5605920*p**3 - 60*p**2
What is the third derivative of -56150*h**3 - 262*h**2 + 72*h - 2 wrt h?
-336900
Find the second derivative of -24337*g**3*w**3 - 2*g**3 + 11*g*w**3 + 17*g*w**2 + 293*w**3 wrt g.
-146022*g*w**3 - 12*g
Differentiate -19*n*r**2 - 10*n*r + 985406*n + 142*r**2 wrt r.
-38*n*r - 10*n + 284*r
What is the first derivative of -99*p**3 + 10*p**2 - p + 4247?
-297*p**2 + 20*p - 1
Differentiate -11*d**3 + 14*d**2 - 19668.
-33*d**2 + 28*d
Differentiate 1565521*f - 397282 wrt f.
1565521
Differentiate 1423*r**4 + 2*r**3 + 2*r**2 + 15*r + 629448 wrt r.
5692*r**3 + 6*r**2 + 4*r + 15
What is the third derivative of -4*d**5 + 9634*d**3 + 885*d**2 - 2*d - 7 wrt d?
-240*d**2 + 57804
Find the second derivative of 568*k**3*n**2 - 2*k**3*u**2 + 121*k**2*n**2*u**2 + 9*k**2*n*u**2 - 11*n + 5*u wrt n.
1136*k**3 + 242*k**2*u**2
Find the second derivative of 1197*u**5 + 17*u**4 - u**3 - 36749*u wrt u.
23940*u**3 + 204*u**2 - 6*u
What is the first derivative of -42716*b*r + 339125*r wrt b?
-42716*r
What is the second derivative of 3426897*c**5 - c + 158900 wrt c?
68537940*c**3
Find the second derivative of 60443*s**5 + 81797*s wrt s.
1208860*s**3
Find the second derivative of -150070*o**2 - o + 210011.
-300140
What is the first derivative of r**3 - 636457*r**2 + 288082 wrt r?
3*r**2 - 1272914*r
What is the second derivative of -1218341*j**2*w**2 + 240*j*w - 21*j + w**2 - 4*w wrt j?
-2436682*w**2
Find the second derivative of 1211*x**3 - 559*x**2 + 2969445*x.
7266*x - 1118
Differentiate 22470*s**3 + 26392.
67410*s**2
Differentiate -3516*h**3 + h + 18460 wrt h.
-10548*h**2 + 1
Differentiate -668032*u + 1246399 with respect to u.
-668032
Find the first derivative of 8*k*y**2 + 133*k*y + 37873*k + 3*y**2 - 2*y wrt y.
16*k*y + 133*k + 6*y - 2
What is the second derivative of -99759*k**2*o + 4*k*o + 60*k - 14*o + 3 wrt k?
-199518*o
What is the second derivative of 345913*u**4 - u**2 + 523711*u?
4150956*u**2 - 2
Find the first derivative of 206*j**2 + 118*j - 3320.
412*j + 118
What is the third derivative of 2*g**2*i**3*k - g**2*i + 52*g**2*k**3 - g*i**3*k**2 - 2*g*i**2*k + 871*i**3*k**3 - 1136*i**3 wrt k?
312*g**2 + 5226*i**3
What is the first derivative of -291170*n*r**3 + 202209*r**3 wrt n?
-291170*r**3
What is the second derivative of -5079*u**3*z - 2*u**3 + u**2*z - 6*u - 330*z wrt u?
-30474*u*z - 12*u + 2*z
Differentiate -118028*h*y**3 - 171065*y**3 with respect to h.
-118028*y**3
Differentiate 59*c*h**2 + 97*c*h - 62726*c - 3*h**3 with respect to h.
118*c*h + 97*c - 9*h**2
What is the third derivative of 46225*l**4 + 41724*l**2 wrt l?
1109400*l
Differentiate -46586*o**4*y**2 - 2*y**2 + 3*y - 512 with respect to o.
-186344*o**3*y**2
What is the third derivative of 83*b**3*h**3 + 31*b**3*h - b**3 - 2*b**2*h - 5*b*h**3 - 34*h**3 wrt b?
498*h**3 + 186*h - 6
Find the second derivative of 2856*b**3 - 7*b**2*t**2 - 2*b*t**2 - 2*b*t + 137357*t wrt b.
17136*b - 14*t**2
What is the first derivative of 3*g**2 + 138*g*z**2 + 15*z**2 + 24*z - 1 wrt g?
6*g + 138*z**2
What is the derivative of -82984*m + 123294 wrt m?
-82984
Differentiate -71432*m**2 + 76912 with respect to m.
-142864*m
What is the second derivative of 22*v**4 + 158*v**2 - 12865*v?
264*v**2 + 316
Find the second derivative of 549*k**3 + 2476*k**2 - 2946629*k.
3294*k + 4952
Find the third derivative of 1866691*j**5 + 191*j**2 + 115*j - 9.
112001460*j**2
What is the third derivative of -32989*p**3*s**3 + p**3*s + 80*p**2*s - 2*p*s**2 - p*s - 8*s**3 wrt p?
-197934*s**3 + 6*s
What is the second derivative of x**4*z - 2*x**4 - 11*x**2*z + x*z - 11*x - 16*z - 1 wrt x?
12*x**2*z - 24*x**2 - 22*z
What is the first derivative of g**4*h + 3*g**2 - 715*g*h - 702*h + 42 wrt g?
4*g**3*h + 6*g - 715*h
Find the first derivative of 2973221*t**4 + 1006958 wrt t.
11892884*t**3
What is the derivative of -430*b**2 - 2148*b + 4516994?
-860*b - 2148
Find the third derivative of 3*v**4 + 720122*v**3 - 2*v**2 + 1272483*v - 2 wrt v.
72*v + 4320732
Find the second derivative of -2*y**4 - 1005*y**3 + 4*y**2 - 274649*y wrt y.
-24*y**2 - 6030*y +
|
{
"pile_set_name": "DM Mathematics"
}
|
n 20*m - 14*m + 10*m**3 + 3*m**3 + 7*m**2 - 15*m + m**2.
13*m**3 + 8*m**2 - 9*m
Collect the terms in 3*c + c + 2*c**2 + 252*c**3 - 3*c**2 - 199*c**3.
53*c**3 - c**2 + 4*c
Collect the terms in -102*d - 102*d + 578*d - 156*d - 109*d - 108*d.
d
Collect the terms in 89*i + 240 - 240 - 1616*i**2.
-1616*i**2 + 89*i
Collect the terms in -54288*v**2 - 36770*v**2 + 8911*v**2 - 8085*v**2.
-90232*v**2
Collect the terms in 49*m**3 + 565786 - 2280*m**3 - 565786.
-2231*m**3
Collect the terms in -1202 + 5*d - 20*d + 11*d + 7*d.
3*d - 1202
Collect the terms in 352*q - 160*q - 571*q.
-379*q
Collect the terms in 6736*o**3 + 6713*o**3 + 6740*o**3 - 26903*o**3 + 6711*o**3.
-3*o**3
Collect the terms in -458*a**3 - 4*a + 141*a**3 + 5*a - a - 4*a**2.
-317*a**3 - 4*a**2
Collect the terms in 13*o**2 + 116*o**2 + 18*o**2 - 39*o**2 - 17*o**2.
91*o**2
Collect the terms in v - 1345878*v**2 + 25*v**3 - 29*v**3 + 1345878*v**2 - v.
-4*v**3
Collect the terms in o**2 + 2 - 8 + 1135*o + 4.
o**2 + 1135*o - 2
Collect the terms in -1 + 12*t - 4 + 0*t + 5 + 2.
12*t + 2
Collect the terms in -1 - 7 - 15 - 8 + 337*m + 27.
337*m - 4
Collect the terms in -621*i + 1236*i - 36399*i**2 - 615*i.
-36399*i**2
Collect the terms in 1 + 31*g + 37*g - 12*g - 96*g.
-40*g + 1
Collect the terms in -157284*w - 1355*w**3 + 157284*w.
-1355*w**3
Collect the terms in 6*h - 4*h - 10*h - 15*h + 7321*h**3.
7321*h**3 - 23*h
Collect the terms in -1861*q + 15245*q - 13382*q.
2*q
Collect the terms in 241*y + 276*y + 205*y + 241*y - 1285*y + 260*y.
-62*y
Collect the terms in 10 - 10 - 9117186*q + 9117137*q.
-49*q
Collect the terms in -1754423741*l + 1754423741*l + l**3.
l**3
Collect the terms in -5 + 1039*r + 902*r - 1948*r.
-7*r - 5
Collect the terms in -29 + 9 - 252*u**3 - 4 + 24.
-252*u**3
Collect the terms in -501*h - 25*h + 439*h + 184*h + 673*h.
770*h
Collect the terms in -34439*j - 1110*j - 96154*j + 17841*j.
-113862*j
Collect the terms in 9 + 51*t**3 - 9 - 47*t**3 - 35*t**2 + 36*t**2.
4*t**3 + t**2
Collect the terms in -1066*b**2 + 4*b - 3690*b**2 - 4*b - 23*b**3.
-23*b**3 - 4756*b**2
Collect the terms in 49*w**3 - 94*w**3 + 1357*w**2 - w + 44*w**3 + 0*w.
-w**3 + 1357*w**2 - w
Collect the terms in 5*d + 39853*d**2 - 11054*d**2 - 5*d + 27366*d**2.
56165*d**2
Collect the terms in 5*c + 4*c - 42*c + 6*c + 27*c - 8*c.
-8*c
Collect the terms in 64*u - 43*u + 125939*u**3 + 125938*u**3 - 251876*u**3.
u**3 + 21*u
Collect the terms in 16172*h**2 + 15898*h**2 + 2 - 2 - 32100*h**2.
-30*h**2
Collect the terms in 137700*j**3 - 362575*j**3 - 13*j - 184072*j**3 + 13*j.
-408947*j**3
Collect the terms in -148 + 114 + 34 + 1991*p**2.
1991*p**2
Collect the terms in -71*u**2 - 77 + 123*u**2 - 50*u**2 - 28*u**2.
-26*u**2 - 77
Collect the terms in -59315749 - 6*v + 59315749 + 154*v.
148*v
Collect the terms in 1774622198508 - j**2 - 1774622198508.
-j**2
Collect the terms in 455*r + 1903*r**2 + 939016 - 455*r - 939016.
1903*r**2
Collect the terms in 2*y**2 - y + 207*y**3 - 2*y**2 + 83 - 5*y**2.
207*y**3 - 5*y**2 - y + 83
Collect the terms in -1900*a + 2 - 8 + 2488*a - 1.
588*a - 7
Collect the terms in 6405*f - 12882*f + 6477*f - 2 + 2*f**2 - 13*f**2.
-11*f**2 - 2
Collect the terms in 50*i + 13*i**2 - 542522531 + 542522531.
13*i**2 + 50*i
Collect the terms in 5 + 347*u**2 + 360119*u - 4 - 360119*u - 1.
347*u**2
Collect the terms in -7610 - 15*m**3 + 3808 - m**2 + 3802.
-15*m**3 - m**2
Collect the terms in 232*r**2 + 413*r**2 - 1050*r**2 + 401*r**2.
-4*r**2
Collect the terms in -512*f**3 - 30 + 1 + 29 - 598*f**3.
-1110*f**3
Collect the terms in 158943 + 12*z + 16*z + 12*z - 42*z.
-2*z + 158943
Collect the terms in -13*m**2 - 22*m**2 - 16*m**2 - 81094*m + 10*m**2.
-41*m**2 - 81094*m
Collect the terms in -1716502*n**2 - 1716544*n**2 + n + 3433050*n**2 - n.
4*n**2
Collect the terms in 84776*b + 84767*b - 169543*b - 4*b**2 + 8*b**2.
4*b**2
Collect the terms in -403 + 403 - p**3 - 392*p.
-p**3 - 392*p
Collect the terms in 19 - 19 + 3412*u + 1421*u.
4833*u
Collect the terms in -1207 - 1200 + 4799 - 1203 - 9*g - 24*g - 1201.
-33*g - 12
Collect the terms in 4*y**3 - 20969*y - 1 + 10378*y + 10591*y.
4*y**3 - 1
Collect the terms in -162334*o**2 - 162853*o**2 + 325269*o**2.
82*o**2
Collect the terms in -35*v + 105*v**2 + 71*v + 105*v**2 - 36 - 203*v**2 - 38*v.
7*v**2 - 2*v - 36
Collect the terms in 35 - c**3 - 4862716101*c - 35 + 4862716101*c.
-c**3
Collect the terms in -4564*h + 13908*h - 4798*h - 4545*h.
h
Collect the terms in 16963*g + 11456*g + 1002*g + 10485*g.
39906*g
Collect the terms in -233385*z + 233387*z - 35945 + 35945.
2*z
Collect the terms in 19*y + 12 + 136*y + y**2 - 160 - 165*y.
y**2 - 10*y - 148
Collect the terms in 58082*w**3 + 58071*w**3 + w - 116156*w**3 + 6*w - 7*w.
-3*w**3
Collect the terms in 7*s - 7*s + 45 - 25*s**3 - 172*s**2 + 167*s**2.
-25*s**3 - 5*s**2 + 45
Collect the terms in -321*t**3 + 98*t**3 + 97*t**3 + 128*t**3 + 7.
2*t**3 + 7
Collect the terms in -132*w**2 + 65*w**2 + 67*w**2 - 23*w**3 + 600*w - 2.
-23*w**3 + 600*w - 2
Collect the terms in 4*o + 59504820774*o**3 - 4*o - 59504820775*o**3.
-o**3
Collect the terms in -3099*l + 4722*l + 12423*l + 17415*l.
31461*l
Collect the terms in s**2 - 17759*s**3 + 0*s**2 + 8875*s**3 - s**2 + 8888*s**3.
4*s**3
Collect the terms in 94521241*l**3 - 47260613*l**3 - 47260771*l**3.
-143*l**3
Collect the terms in 224 - 35*y**2 - 2*y - 49 - 89 - 56.
-35*y**2 - 2*y + 30
Collect the terms in -9854*m**3 - 9756*m**3 - m - 9848*m**3 - 9791*m**3 + 39384*m**3.
135*m**3 - m
Collect the terms in 4 + 115*n**2 + 14 + 36*n**2 - 826*n**2 - 4.
-675*n**2 + 14
Collect the terms in -13*k + 2543535 - 2543535.
-13*k
Collect the terms in -1364*w + 613*w - 5 + 710*w + 4.
-41*w - 1
Collect the terms in -1983*k - 1976*k - 6456 + 3956*k.
-3*k - 6456
Collect the terms in -34*q + 224*q**3 + 36*q**2 - 131*q**3 - 40*q.
93*q**3 + 36*q**2 - 74*q
Collect the terms in 3*d - 3*d + 789*d**3 - 28336*d**2 + 28336*d**2.
789*d**3
Collect the terms in 9344*c + 1066 - 2138 + 1072.
9344*c
Collect the terms in -106 + 46 + 37 + 525*l + 23 - 522*l.
3*l
Collect the terms in 913*v**2 + 895*v**2 + 969*v**2 - 2767*v**2.
10*v**2
Collect the terms in -1231997 + 2*x**2 - 1232223 + 2464220.
2*x**2
Collect the terms in -25276*p - 13315*p + 9426*p + 219 - 219.
-29165*p
Collect the terms in -56*k - 31*k - 16*k + 107*k + 128*k**2.
128*k**2 + 4*k
Collect the terms in -17307*f**3 + 3 + 18*f**2 + 17327*f**3 - 3.
20*f**3 + 18*f**2
Collect the terms in -208*s + 713*s - 203*s - 172*s - 173*s.
-43*s
Collect the terms in 8583*d - 4288*d - 4295*d - 5*d**2 - 12*d**2 - 3*d**2 + 22*d**2.
2*d**2
Collect the terms in -4659*z**2 + 4659*z**2 + 860033*z**3 - 860071*z**3.
-38*z**3
Collect the terms in 1 - 2603024*j + 274449*j - 635996*j.
-2964571*j + 1
Collect the terms in 3040*w**2 - 1085*w**2 - 1228*w**2 - 1066*w**2.
-339*w**2
Collect the terms in -4084*u + 1329*u + 1393*u + 1204*u.
-158*u
Collect the terms in -10*h**2 - 39*h**2 - 36564259 + 36564259.
-49*h**2
Collect the terms in 753 + 3*m**3 - 295 - 16*m - 232 - 2*m**3 - 226.
m**3 - 16*m
Collect the terms in -18 - 1516*s - 997*s + 30 - 9.
-2513*s + 3
Collect the terms in 53938*p**2 - 5 + 2 - 5109*p**2 + 0.
48829*p**2 - 3
Collect the terms in 105*x**2 - 6*x**2 - 21*x**2 - 37*x**2.
41*x**2
Collect the terms in -17142 - 6305 + 23447 + 6*h.
6*h
Collect the terms in -6965306954 + 398*s**2 + 6965306954.
398*s**2
Collect the terms in -195*k**2 - 1641732595*k + 1641732595*k.
-195*k**2
Collect the terms in 1670820796 - 1670820796 - 3*n.
-3*n
Collect the terms in -101*a**3 + 69*a**3 - 35*a**3 - 225*a**3.
-292*a**3
Collect the terms in -10*o**2 - 8*o**2 - 34*o**2 - 34*o**2 + 86*o**2 + 8*o**3.
8*o**3
Collect the terms in 3003803 - 3003803 + 1393*m.
1393*m
Collect the terms in -1482 + 442*w - 2623*w + 2974 - 1492.
-2181*w
Collect the terms in 118*c**2 + 110*c**2 - 227*c**2 + 988*c - 988*c.
c**2
Collect the terms in 59*n - 34*n - 7858 - 26*n.
-n - 7858
Collect the terms in -905*p**3 + 3289*p**3 - 582*p**3 - 911*p**3 - 919*p**3.
-28*p**3
Collect the terms in m + m + 0*m + m - 2 - 1615*m**2 - 5*m.
-1615*m**2 - 2*m - 2
Collect the terms in 149101*m - 294142*m + 145052*m.
11*m
Collect the terms in -c - 282 - 33*c**3 + 154 + 128 + 10*c**2.
-33*c**3 + 10*c**2 - c
Collect the terms in 42*v**2 + 41*v**2 + 43*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
19 = 32, -a = -4*t + 91. What is the least common multiple of u(-6) and t?
110
Suppose 0 = 2*a + 2*w - 8506, 0 = 5*a - 59*w + 63*w - 21268. Calculate the least common multiple of a and 77.
46816
Let k(i) = -520*i - 2970. What is the smallest common multiple of k(-9) and 2280?
6840
Calculate the common denominator of 2*4/3696*(-17 + -63) and -53/770.
2310
Suppose -4*h + 2*k + 2048 = 382, 4*h = -5*k + 1659. Calculate the lowest common multiple of h and 364.
2912
Suppose 1 = 9*n - 8*n. Let c be (129/6)/(n/(-2) + 1). Suppose 0 = -2*p - 4*u + 26, u = -5*p + 2*u + c. Calculate the smallest common multiple of p and 60.
180
Let f be (-1536)/(-9)*15/(-26). Let l = f + 41798/429. Find the common denominator of ((-3)/(-14))/((-22080)/(-56896) + (-9)/21) and l.
264
Let s = 237 - 129. Find the common denominator of 38/5 and (-1872)/s*1/(-3).
45
Calculate the lowest common multiple of 588 and (213/3 - 1)*(185/25 + 1).
588
Let y = 31263 + -14881169/476. Calculate the common denominator of y and -97/308.
5236
Let m = -44 - -59. Let q = -3745/4988 + 1/1247. Find the common denominator of m and q.
4
Suppose 19 = 36*w - 149 - 192. Calculate the smallest common multiple of 2406 and w.
12030
Let p(a) = 3*a**2 + 72*a - 71. Let z be p(-30). What is the common denominator of (z/(-28) - -5)/((-2)/4) and 2 + ((-326)/112 - 1)?
56
Let n = -111355/48 - -2322. Find the common denominator of n and ((-74)/(-12) - 4)*(-6)/9.
144
Let j = -4792 + 4774. Let t(c) = -12*c**3 - 4*c**2 - c + 1. Let x be t(-3). What is the common denominator of ((-2)/j)/(x/148 - 2) and -50/9?
9
Calculate the common denominator of -35/18 and ((1 - 4) + 282/84)/((-3978)/228).
27846
Let k = 1659 - -3115. Calculate the lowest common multiple of 310 and k.
23870
Let i = 734 - 522. Suppose -278 = 21*u - 1118. What is the least common multiple of u and i?
2120
Let v = -997339 - -10063150477/10090. What is the common denominator of 45/16 and v?
80720
Let i(b) = -2*b. Let f = -19 - -16. Suppose 18*j + 384 = 26*j. What is the least common multiple of i(f) and j?
48
Let d be 1/((-24)/1066)*(-3432)/(-462). Suppose 4*r - 4*j = -1332, 0 = r - 2*r - j - 325. Let o = d - r. What is the common denominator of 35/9 and o?
63
Let q be (-9)/5269590*1345711 - (-3)/2. Let i = q - 21/3365. Calculate the common denominator of i and 145/6.
174
Suppose -302*a - 468 = -306*a. Let y = a + 241. Calculate the lowest common multiple of y and 22.
3938
Let d(w) = w + 2. Suppose 0 = 5*l - 19 - 51. Suppose l*h + 12 = 17*h. What is the smallest common multiple of h and d(3)?
20
Find the common denominator of (161/22792*986 - 5) + 2 + -4 and -11/36.
14652
Let t = -2643546847/31 - -85268347. Let g = t + 7357. What is the common denominator of -67/4 and g?
124
Let j = -1422133/136524 - -2/34131. Calculate the common denominator of 125/6 + -3 - 2 and j.
12
Let w = 25583857/363 + -70479. Find the common denominator of w and -55/4.
1452
Let z(t) = -14*t + 22. Let n be z(2). Calculate the common denominator of 37/62 and n/(-21) + (-3748)/(-504).
558
Let v = 3303775/154 + -21453. Calculate the common denominator of 129/154 and v.
154
Let r(v) = 312*v**2 - 5 + 2*v**3 - 309*v**2 + 0*v**3. Let u be r(-2). What is the smallest common multiple of 30/(-20)*(u + -1) and 33?
165
Let q be 2*(-5)/10 - -127. Let y = -565/12 - -143/4. What is the common denominator of (-18)/q*((-3)/1 - -2) and y?
21
Suppose 0 = 2*a + 2, -5*a + 67 - 702 = -3*n. Calculate the least common multiple of n and 453.
31710
Let g = -4251 - -4401. What is the smallest common multiple of 25 and g?
150
Suppose 21*d - 4117 = 5207. Calculate the smallest common multiple of 6 and d.
444
Let i be 5665/45 - 2*3/(-54). Let a(z) = -118*z**3 + 2*z + 1. Let k be a(-1). Suppose 3*t = k + i. What is the smallest common multiple of t and 18?
162
Let r = -10265 + 10271. Calculate the smallest common multiple of 1528 and r.
4584
Suppose -2*t = i + t - 345, 0 = -4*i - 4*t + 1340. Let o = -316 + i. What is the lowest common multiple of o and 18?
126
What is the common denominator of -37/32 and (48/(-224))/(2*(-216)/196)?
288
What is the common denominator of 59/210 and (4/(-15))/(-2) + (-297136)/288120?
1470
Let y = 11167 + -11042. What is the least common multiple of y and 100?
500
Let g = -2718 - -2850. What is the least common multiple of 168 and g?
1848
Let i = -2511137553/262548104 + -27/360643. Let p = i - 142/91. Let f = -7419/1310 + -162/131. Find the common denominator of f and p.
40
Let l(p) = 16*p**2 + 4*p. Let w be l(-1). Calculate the common denominator of 702/(-96)*w/15 and -89/2.
20
Let r = -13913 + 20924. What is the lowest common multiple of r and 24?
56088
Let o = -1711 + 8547/5. Calculate the common denominator of 48/95 and o.
95
Let v = 372 + -217. Let r = -141 + v. What is the lowest common multiple of (-82)/(-6) - 3/(-9) and r?
14
Let k = -2021303351/1140 + 1773073. Calculate the common denominator of k and -121/2052.
10260
Let b be (-441)/(-14)*(-3 - 1 - -2). Let j = 131 + b. What is the smallest common multiple of j and 12?
204
Let l be (2 + (-32)/10)/((-2)/(-110)). Let y = l + 65. Calculate the common denominator of 33/74 and ((-111)/9 - -2)/y.
222
Suppose 0 = -h + l + 1221, -3*h - 5*l - 291 = -3914. What is the least common multiple of h and 228?
3648
Calculate the lowest common multiple of 6 - -12*380/40 and ((-60)/21)/(6/(-21)).
120
Let u = 36486337/302 + -120816. Find the common denominator of u and -19/8.
1208
Suppose 7*q + 72 = 8*q - 3*z, 2*z = -2*q + 160. Calculate the smallest common multiple of 3393 and q.
6786
Let y be (4/(-3))/(8/(-18)). What is the smallest common multiple of 35 and (60/(-40))/(y/(-20))?
70
What is the common denominator of 5 + (-4)/(-4) + 40825/(-6875) and -105/44?
1100
Find the common denominator of 51/154 and (1984/224)/((-784)/(2 - -5)).
4312
Calculate the common denominator of 2 + (-96)/(-27) + (-54 - -48) and -27/626.
5634
Suppose 13*i + 5*c = 10*i + 34, -106 = -5*i + 4*c. Calculate the lowest common multiple of i and 7832.
70488
Let f(z) = -3*z + 28. Let o be f(6). Suppose 0 = -51*j + 50*j + o. What is the least common multiple of j/55 + (-260)/(-22) and 10?
60
Let u = 115249 - 576193/5. Find the common denominator of u and (-2)/(-8)*(-76)/(-9).
45
Let c(g) = 6*g**3 + 130. Calculate the smallest common multiple of 2 and c(6).
1426
Suppose 0 = 5*x + p - 2395, 4*x - 2280 = -3*p - 375. Calculate the smallest common multiple of 8 and x.
480
Suppose -4*f = 2 - 22. Suppose 0 = -5*c - f*c - 140. Calculate the smallest common multiple of (-110)/c - ((-2)/7)/2 and 2.
8
Let g = 3855355323/2973232570 - -15/2457217. Let c = 2/605 + g. Suppose 2*u + 4*h - 123 = -37, 2 = 2*h. Find the common denominator of c and u.
10
Let i = -28/1579 + 114209/118425. Find the common denominator of 27/485 and i.
7275
Let d = -2403 + 4805/2. What is the common denominator of d and -104*(169/(-42) + 4)?
42
Let y(m) = 7*m**2 - 35*m + 77. What is the smallest common multiple of y(5) and 12?
924
Suppose -4*v + 375 = -2*q - 4885, -3*v + 2*q = -3944. Calculate the lowest common multiple of 940 and v.
6580
Let o = 2617 - 2097. What is the lowest common multiple of 52 and o?
520
Let n = 755581/2 - 2947493/8. Let u = n + -9342. Calculate the common denominator of u and 59/40.
40
Suppose 5*w = 5*i - i + 35, -2*i = 3*w - 43. Suppose -5*z + 4 = -w. Let h(s) = 1184*s + 5926. What is the lowest common multiple of z and h(-5)?
6
Let o(h) = 2*h**3 - 92*h**2 + 103*h + 45. Calculate the lowest common multiple of o(45) and 315.
630
Suppose -d = c + 1, -3*d - 8 = 4*c - 1. What is the common denominator of 37/5 + (2 + -18)/32 and (-335)/c*(-6)/75?
10
Let c = -11 + -10. Calculate the common denominator of 542/312 - 141/1692 and 6/c + (-1205)/(-175).
130
Suppose 3*m + 12 = -2*t - 3*t, -2*m = -2*t + 8. Suppose t = -17*o + 10*o + 238. Calculate the least common multiple of 10 and o.
170
Suppose 4*p - 3*p = 4*n + 41, -5*p = -5*n - 55. Let f(s) = -23*s - 218. What is the lowest common multiple of f(n) and 18?
36
Suppose 61 = 24*l - 186 - 329. What is the lowest common multiple of l and 548?
3288
Let f be (-2)/(-5) + 94/(-235). Suppose f = -3*h + 3*b + 48, 4*h + 5*b = 52 + 30. What is the lowest common multiple of h and 10?
90
Let j = -798/16907 - 3/319. Let f = 1511/2332 - j. Find the common
|
{
"pile_set_name": "DM Mathematics"
}
|
tween 10:45 AM and 10:13 PM?
688
How many minutes are there between 3:41 PM and 12:50 AM?
549
How many minutes are there between 7:34 PM and 4:46 AM?
552
What is 274 minutes after 4:46 PM?
9:20 PM
What is 345 minutes before 11:51 AM?
6:06 AM
What is 532 minutes before 4:54 PM?
8:02 AM
What is 552 minutes after 5:15 AM?
2:27 PM
How many minutes are there between 10:30 AM and 8:40 PM?
610
What is 660 minutes after 12:22 AM?
11:22 AM
What is 14 minutes before 1:57 PM?
1:43 PM
How many minutes are there between 4:27 AM and 7:38 AM?
191
How many minutes are there between 5:26 PM and 3:44 AM?
618
What is 557 minutes after 5:06 PM?
2:23 AM
What is 185 minutes before 11:41 PM?
8:36 PM
How many minutes are there between 7:42 AM and 3:25 PM?
463
How many minutes are there between 2:18 PM and 6:09 PM?
231
How many minutes are there between 12:39 PM and 11:44 PM?
665
How many minutes are there between 4:23 AM and 3:42 PM?
679
How many minutes are there between 11:46 PM and 9:05 AM?
559
How many minutes are there between 4:09 AM and 9:26 AM?
317
What is 341 minutes before 6:57 PM?
1:16 PM
How many minutes are there between 12:18 AM and 3:04 AM?
166
What is 416 minutes after 5:50 PM?
12:46 AM
What is 691 minutes before 4:38 PM?
5:07 AM
How many minutes are there between 1:38 PM and 5:48 PM?
250
What is 145 minutes before 9:22 AM?
6:57 AM
How many minutes are there between 4:17 PM and 10:44 PM?
387
How many minutes are there between 8:57 AM and 7:33 PM?
636
How many minutes are there between 4:51 PM and 3:25 AM?
634
How many minutes are there between 4:45 AM and 8:57 AM?
252
What is 136 minutes after 4:37 PM?
6:53 PM
What is 708 minutes after 10:48 AM?
10:36 PM
How many minutes are there between 12:40 PM and 10:56 PM?
616
How many minutes are there between 3:03 AM and 5:37 AM?
154
How many minutes are there between 1:10 AM and 7:58 AM?
408
What is 457 minutes after 8:59 PM?
4:36 AM
What is 373 minutes after 2:09 AM?
8:22 AM
How many minutes are there between 2:02 AM and 9:50 AM?
468
How many minutes are there between 10:55 PM and 2:01 AM?
186
What is 655 minutes before 5:35 AM?
6:40 PM
What is 323 minutes before 4:30 AM?
11:07 PM
How many minutes are there between 3:17 PM and 1:22 AM?
605
What is 104 minutes after 10:30 AM?
12:14 PM
How many minutes are there between 12:18 AM and 1:48 AM?
90
What is 82 minutes before 12:02 AM?
10:40 PM
How many minutes are there between 7:31 AM and 7:13 PM?
702
What is 462 minutes after 6:44 PM?
2:26 AM
What is 160 minutes after 11:04 AM?
1:44 PM
How many minutes are there between 12:02 PM and 4:45 PM?
283
What is 360 minutes before 5:10 PM?
11:10 AM
What is 295 minutes after 11:43 AM?
4:38 PM
What is 203 minutes before 3:03 AM?
11:40 PM
What is 468 minutes after 12:12 AM?
8:00 AM
How many minutes are there between 4:51 PM and 2:35 AM?
584
How many minutes are there between 4:51 AM and 5:03 AM?
12
How many minutes are there between 8:47 AM and 5:21 PM?
514
What is 159 minutes before 7:25 PM?
4:46 PM
What is 482 minutes before 9:14 PM?
1:12 PM
How many minutes are there between 4:59 AM and 2:42 PM?
583
How many minutes are there between 3:55 AM and 11:42 AM?
467
What is 514 minutes after 10:06 PM?
6:40 AM
How many minutes are there between 11:57 AM and 10:57 PM?
660
What is 677 minutes before 12:58 AM?
1:41 PM
How many minutes are there between 2:24 PM and 9:25 PM?
421
How many minutes are there between 8:47 PM and 8:20 AM?
693
What is 35 minutes after 8:05 AM?
8:40 AM
How many minutes are there between 11:31 AM and 8:37 PM?
546
What is 667 minutes after 2:02 AM?
1:09 PM
What is 704 minutes before 7:01 AM?
7:17 PM
What is 313 minutes after 11:52 PM?
5:05 AM
What is 207 minutes before 2:25 AM?
10:58 PM
What is 385 minutes after 5:12 PM?
11:37 PM
How many minutes are there between 3:47 AM and 9:09 AM?
322
How many minutes are there between 12:57 PM and 11:02 PM?
605
What is 353 minutes after 4:38 PM?
10:31 PM
How many minutes are there between 1:24 AM and 2:54 AM?
90
What is 328 minutes before 12:25 PM?
6:57 AM
How many minutes are there between 6:22 AM and 6:08 PM?
706
What is 6 minutes before 2:47 AM?
2:41 AM
How many minutes are there between 4:38 AM and 12:01 PM?
443
How many minutes are there between 8:06 PM and 7:45 AM?
699
How many minutes are there between 10:22 AM and 5:00 PM?
398
What is 2 minutes after 12:11 PM?
12:13 PM
How many minutes are there between 1:52 AM and 3:03 AM?
71
What is 96 minutes before 9:48 AM?
8:12 AM
How many minutes are there between 1:26 AM and 11:02 AM?
576
How many minutes are there between 7:09 PM and 9:12 PM?
123
What is 586 minutes after 3:50 PM?
1:36 AM
What is 156 minutes after 11:52 AM?
2:28 PM
How many minutes are there between 3:13 AM and 5:32 AM?
139
How many minutes are there between 1:28 PM and 8:26 PM?
418
How many minutes are there between 1:39 PM and 1:07 AM?
688
What is 591 minutes before 1:06 PM?
3:15 AM
How many minutes are there between 10:18 PM and 8:48 AM?
630
What is 35 minutes before 11:40 AM?
11:05 AM
What is 466 minutes after 12:24 AM?
8:10 AM
How many minutes are there between 9:53 PM and 8:09 AM?
616
What is 279 minutes after 5:28 PM?
10:07 PM
How many minutes are there between 9:37 AM and 8:05 PM?
628
What is 678 minutes before 10:00 AM?
10:42 PM
What is 491 minutes after 10:02 PM?
6:13 AM
What is 33 minutes before 5:01 PM?
4:28 PM
What is 123 minutes before 7:42 AM?
5:39 AM
What is 704 minutes before 1:51 AM?
2:07 PM
What is 145 minutes before 10:28 AM?
8:03 AM
How many minutes are there between 8:10 AM and 11:16 AM?
186
What is 194 minutes before 12:54 PM?
9:40 AM
What is 10 minutes before 6:39 AM?
6:29 AM
How many minutes are there between 12:05 PM and 12:09 PM?
4
What is 266 minutes before 5:40 AM?
1:14 AM
What is 572 minutes after 12:44 PM?
10:16 PM
What is 63 minutes before 1:11 AM?
12:08 AM
What is 156 minutes after 3:31 PM?
6:07 PM
How many minutes are there between 9:38 PM and 8:42 AM?
664
How many minutes are there between 4:15 AM and 2:35 PM?
620
What is 153 minutes before 9:07 PM?
6:34 PM
What is 41 minutes before 7:41 PM?
7:00 PM
How many minutes are there between 8:48 PM and 1:25 AM?
277
What is 496 minutes after 6:42 PM?
2:58 AM
What is 315 minutes after 9:48 PM?
3:03 AM
What is 107 minutes after 4:07 PM?
5:54 PM
How many minutes are there between 2:10 PM and 5:39 PM?
209
How many minutes are there between 2:14 PM and 1:29 AM?
675
How many minutes are there between 11:31 PM and 3:14 AM?
223
How many minutes are there between 8:35 PM and 4:13 AM?
458
How many minutes are there between 7:38 AM and 4:51 PM?
553
How many minutes are there between 8:23 AM and 11:09 AM?
166
How many minutes are there between 5:56 PM and 8:13 PM?
137
How many minutes are there between 3:25 AM and 7:21 AM?
236
How many minutes are there between 7:29 AM and 9:12 AM?
103
What is 589 minutes before 7:24 PM?
9:35 AM
What is 631 minutes before 2:28 PM?
3:57 AM
How many minutes are there between 1:48 AM and 12:34 PM?
646
How many minutes are there between 7:43 PM and 1:07 AM?
324
What is 251 minutes after 11:47 AM?
3:58 PM
How many minutes are there between 8:05 PM and 8:53 PM?
48
What is 51 minutes before 2:25 AM?
1:34 AM
What is 503 minutes before 2:16 PM?
5:53 AM
How many minutes are there between 7:22 PM and 5:42 AM?
620
How many minutes are there between 1:10 PM and 5:13 PM?
243
What is 251 minutes before 8:45 PM?
4:34 PM
How many minutes are there between 11:06 PM and 2:30 AM?
204
What is 502 minutes before 6:35 PM?
10:13 AM
How many minutes are there between 3:19 AM and 5:02 AM?
103
How many minutes are there between 10:42 AM and 6:30 PM?
468
How many minutes are there between 5:52 AM and 12:19 PM?
387
How many minutes are there between 8:52 AM and 12:50 PM?
238
What is 406 minutes before 10:46 AM?
4:00 AM
How many minutes are there between 1:11 AM and 4:16 AM?
185
What is 209 minutes before 5:49 PM?
2:20 PM
What is 237 minutes after 12:26 PM?
4:23 PM
What is 315 minutes before 10:55 AM?
5:40 AM
What is 627 minutes before 1:09 PM?
2:42 AM
How many minutes are there between 11:54 AM and 3:51 PM?
237
How many minutes are there between 2:40 PM and 11:52 PM?
552
How many minutes are there between 9:30 AM and 6:28 PM?
538
What is 53 minutes after 12:38 AM?
1:31 AM
What is 91
|
{
"pile_set_name": "DM Mathematics"
}
|
ascending order.
-1, -3/8, -2/1982663
Put 0, 106, -10, -2, -4 in descending order.
106, 0, -2, -4, -10
Sort 5, 4, -163, -3, 3, 11 in descending order.
11, 5, 4, 3, -3, -163
Sort 2, 7, 4, 0, 1 in decreasing order.
7, 4, 2, 1, 0
Put -131, -4, 11, 4 in ascending order.
-131, -4, 4, 11
Put 0.0699, 3/7, 3, 6/7, 11 in descending order.
11, 3, 6/7, 3/7, 0.0699
Put 402, 2/5, 1/3, 0.57 in descending order.
402, 0.57, 2/5, 1/3
Put -2, 3, -7, -106, -4 in ascending order.
-106, -7, -4, -2, 3
Sort -1, -4, 6, -6, -48 in ascending order.
-48, -6, -4, -1, 6
Sort -3/5, 27.5, 0.4, 0, 3, 4/3 in decreasing order.
27.5, 3, 4/3, 0.4, 0, -3/5
Sort 1, 2, 36, 10, 5, -5 in descending order.
36, 10, 5, 2, 1, -5
Put -1, -3517, -4, 16 in descending order.
16, -1, -4, -3517
Put -2, 8, 7, 3, -4 in increasing order.
-4, -2, 3, 7, 8
Sort -136, -16, -7 in decreasing order.
-7, -16, -136
Sort -2, 0, 8, 2, 17, -8 in decreasing order.
17, 8, 2, 0, -2, -8
Put 3, -5, 0.2, -7, 338 in decreasing order.
338, 3, 0.2, -5, -7
Sort 0.2, -5/7, -32/65 in ascending order.
-5/7, -32/65, 0.2
Sort 0.293, -0.3, -13/4, -1 in increasing order.
-13/4, -1, -0.3, 0.293
Sort -3998, -2, 2, -1 in increasing order.
-3998, -2, -1, 2
Sort 0.5, 3/8, 5/6, 4.47 in decreasing order.
4.47, 5/6, 0.5, 3/8
Sort 1, -1/3, -0.09, -53.
-53, -1/3, -0.09, 1
Sort 3, -26, -3201 in decreasing order.
3, -26, -3201
Put 4613, 1, -40 in decreasing order.
4613, 1, -40
Put 0, -1/3, -1, -30035 in increasing order.
-30035, -1, -1/3, 0
Sort 0, 7.9, -1/6, 67/3, -0.4 in ascending order.
-0.4, -1/6, 0, 7.9, 67/3
Sort -4, 629, 10, 19, -1 in ascending order.
-4, -1, 10, 19, 629
Put -1, 31405, 6 in descending order.
31405, 6, -1
Put 0.192, -6, 25/4 in decreasing order.
25/4, 0.192, -6
Sort 1/3, 3, 21/424 in ascending order.
21/424, 1/3, 3
Sort -1, -17, 5644 in descending order.
5644, -1, -17
Sort 45, 5, 1, 3149, -1, -4 in descending order.
3149, 45, 5, 1, -1, -4
Sort -4, 252, 29 in ascending order.
-4, 29, 252
Sort 1, -13, -122, 5, 6.
-122, -13, 1, 5, 6
Sort 4, -48.6, -313, 0.3, -1/4 in decreasing order.
4, 0.3, -1/4, -48.6, -313
Sort 33, -2, 6, 5 in decreasing order.
33, 6, 5, -2
Put -0.1, 4/23, 0.4, 2, -2/9 in descending order.
2, 0.4, 4/23, -0.1, -2/9
Sort -1/7, 1, 0.847 in descending order.
1, 0.847, -1/7
Put -9, 8, -61, -10 in ascending order.
-61, -10, -9, 8
Sort 8, -0.2, 1/4, -125/2 in decreasing order.
8, 1/4, -0.2, -125/2
Sort 2/11, -1, -5, -1242, 0.09 in descending order.
2/11, 0.09, -1, -5, -1242
Put 5, -5, -62, 37, -3 in decreasing order.
37, 5, -3, -5, -62
Sort 4, 0.35, -2, -5081.
-5081, -2, 0.35, 4
Sort -3, -231, -4, -10, 0 in increasing order.
-231, -10, -4, -3, 0
Put 0, 552, 1, -5, -1, -3 in descending order.
552, 1, 0, -1, -3, -5
Put 1534/5, 8, 4, 0 in ascending order.
0, 4, 8, 1534/5
Put 100, -182, -3.7 in ascending order.
-182, -3.7, 100
Sort 2/39, 0.4, 2/13, 80, -1, 0.1.
-1, 2/39, 0.1, 2/13, 0.4, 80
Sort 4, 2583/2, 5, 2 in descending order.
2583/2, 5, 4, 2
Sort 11094, -32, 2.
-32, 2, 11094
Sort 88, 1/17, -19 in decreasing order.
88, 1/17, -19
Put 1/29, 5, -609.7 in decreasing order.
5, 1/29, -609.7
Put -2/3, 2/13, -2/5, 0, -6, 176 in decreasing order.
176, 2/13, 0, -2/5, -2/3, -6
Put -0.2, 1/10, -799, 17 in descending order.
17, 1/10, -0.2, -799
Sort -33, 510, 6 in ascending order.
-33, 6, 510
Sort 2, -55, 18 in decreasing order.
18, 2, -55
Sort -0.5, 103, -6, 11.
-6, -0.5, 11, 103
Sort 0.139, -238, -6 in ascending order.
-238, -6, 0.139
Sort -2, -115, -3, -12.
-115, -12, -3, -2
Put 0.4, -2, -3/4, 3, -5, -196 in increasing order.
-196, -5, -2, -3/4, 0.4, 3
Sort 0.01, -0.3, 0.121099 in descending order.
0.121099, 0.01, -0.3
Put 4, 3, -2, 446, 19 in ascending order.
-2, 3, 4, 19, 446
Put -6, 0.3, -1133, -4, -3/4 in decreasing order.
0.3, -3/4, -4, -6, -1133
Put -5, -0.5, -9, -68/7, -3/8 in ascending order.
-68/7, -9, -5, -0.5, -3/8
Put 5, 1/10, 8, -2/15, -4 in descending order.
8, 5, 1/10, -2/15, -4
Put -98, 4/3, -4/3, -7 in descending order.
4/3, -4/3, -7, -98
Sort 26, -263, -4 in descending order.
26, -4, -263
Sort -198, 5/2, 0.4, 3, 3/2.
-198, 0.4, 3/2, 5/2, 3
Put -4, 2, 207656 in descending order.
207656, 2, -4
Sort -257, 0.5, -2/3, 1.29.
-257, -2/3, 0.5, 1.29
Sort 1/9, 11, -5, 2/11, 1/2, -17/3.
-17/3, -5, 1/9, 2/11, 1/2, 11
Put -29691, 1, -1 in decreasing order.
1, -1, -29691
Put -1.7, -2, 2/3, -362, -3, 2/9 in descending order.
2/3, 2/9, -1.7, -2, -3, -362
Put 663, -5, 4/7 in descending order.
663, 4/7, -5
Sort -9, -5, 3, 2, 54 in ascending order.
-9, -5, 2, 3, 54
Put 46, -0.2, -3, -3/71, -9/5 in decreasing order.
46, -3/71, -0.2, -9/5, -3
Put -3, -6, -4, -33, 3, 11 in descending order.
11, 3, -3, -4, -6, -33
Sort -57.2, -18, 0.01 in decreasing order.
0.01, -18, -57.2
Sort -2, 5, 527706, 4 in descending order.
527706, 5, 4, -2
Sort 0.5, 0, 5, 1, -5, -3 in ascending order.
-5, -3, 0, 0.5, 1, 5
Sort 1/4, -0.8, 0.5, -4/7, 10.
-0.8, -4/7, 1/4, 0.5, 10
Sort -6, -1/9, 424 in descending order.
424, -1/9, -6
Put -3, 4, 3, -218, 25 in ascending order.
-218, -3, 3, 4, 25
Sort -20, -4, -732, -6 in descending order.
-4, -6, -20, -732
Put 2/3, 2/5, -7, -2/7, 0.1378 in increasing order.
-7, -2/7, 0.1378, 2/5, 2/3
Put 700, 11, -4 in ascending order.
-4, 11, 700
Put 6, -5, 1, 18, 435 in increasing order.
-5, 1, 6, 18, 435
Sort -15, 279, -2 in descending order.
279, -2, -15
Put -3, -1181, -5, 12 in increasing order.
-1181, -5, -3, 12
Sort -194, -5, 1401, 4.
-194, -5, 4, 1401
Sort -0.2, 36, -921.
-921, -0.2, 36
Sort 5/3, -1, 53/2, -0.82, 2/5, -5.
-5, -1, -0.82, 2/5, 5/3, 53/2
Sort -0.4, 1/9, 26, -2/13 in ascending order.
-0.4, -2/13, 1/9, 26
Sort -1.2, 2, -8, -3, 5, -135.
-135, -8, -3, -1.2, 2, 5
Put 80, -60, 4, -13 in descending order.
80, 4, -13, -60
Sort -5, 2, 0.5, 15, -265 in ascending order.
-265, -5, 0.5, 2, 15
Sort -488, -0.1, -4, -1/9, 12 in decreasing order.
12, -0.1, -1/9, -4, -488
Put -1, 214.7, -5 in ascending order.
-5, -1, 214.7
Sort 84872, 2, -2 in increasing order.
-2, 2, 84872
Put -16, -2, 3, 2133 in decreasing order.
2133, 3, -2, -16
Sort 135, 60, 62 in descending order.
135, 62, 60
Sort -9, 1.11, 0.68, 1, 2.
-9, 0.68, 1, 1.11, 2
Sort 2/5, -23729, 4.
-23729, 2/5, 4
Put -2, 8, 1, 1861 in descending order.
1861, 8, 1, -2
Put 2, -96967, -6 in increasing order.
-96967, -6, 2
Put 0.3, -2, -831, 1/2, -0.1, -1/2 in decreasing order.
1/2, 0.3, -0.1, -1/2, -2, -831
Sort 1, -6, 2, 0, 71 in descending order.
71, 2, 1, 0, -6
Put 6, 2, -384, 20 in descending order.
20, 6, 2, -384
Put -3, -139, -5, -82 in decreasing order.
-3, -5, -82, -139
Sort -1, 837, -4, 4 in decreasing order.
837, 4, -1, -4
Sort -1, -1953, 1, -8, -4 in ascending order.
-1953, -8, -4, -1, 1
Sort 154, 4, 38.
4, 38, 154
Sort 196861, 3, -4.
-4, 3, 196861
Sort -5, -1, 8, 80, 5 in ascending order.
-5, -1, 5, 8, 80
Put -4, -0.1, 2/901, -2/11, -5 in descending order.
2/901, -0.1, -2/11, -4, -5
Sort 43, 2/17, 21 in decreasing order.
43, 21, 2/17
Sort 0.017, -4265, 2/9, 2 in descending order.
2, 2/9, 0.017, -4265
Sort -4, 0.8, 32527 in decreasing order.
32527, 0.8, -4
Put -0.4, -2, 3, -13, -190 in decreasing order.
3, -0.4, -2, -13, -190
Sort -1, 6, -45 in decreasing order.
6, -1, -45
Sort -205, -24, -1, -6 in ascending order.
-205, -24, -6, -1
Put 7, 6, -0.0417 in descending order.
7, 6, -0.0417
Sort -5, -3/5, 3, -4182 in decreasing order.
3, -3/5, -5, -4182
Put 2, 51, -1, 28 in decreasing order.
51, 28, 2, -1
Sort -4, -2, -4849, 6.
-4849, -4, -2, 6
Sort -4608, -3, -39, -4 in increasing order.
-4608, -39, -4, -3
Sort -7, 0.01, -18 in decreasing order.
0.01, -7, -18
Put 2, -3, 4, 39, 106, -1 in increasing order.
-3, -1, 2, 4, 39, 106
Sort -0.4, 1, 2/5, 1/3, -298 in increasing order.
-298, -0.4, 1/3, 2/5, 1
Sort -5, 2, 5, 6, -40 in descending order.
6, 5, 2, -5, -40
Sort 4, -5, 9655, -3/2, -4 in decreasing order.
9655, 4, -3/2, -4, -5
Sort -2/625, -3, -5/59 in ascending order.
-3, -5/59, -2/625
Sort 1, -2, 4, 13 in ascending order.
-2, 1, 4, 13
Sort -5, 105267, -11 in ascending order.
-11, -5, 105267
Sort -9, 0, 5, -1, -258 in ascending order.
-258, -9, -1, 0, 5
Sort 182, -2707, 2, 0 in ascending order.
-2707, 0, 2, 182
Put -4, -579, 3, 0 in decreasing order.
3, 0, -4, -579
Put -4/3, 10, 1, -3/5, -113 in descending order.
10, 1, -3/5, -4/3, -113
Sort -25.6, 36,
|
{
"pile_set_name": "DM Mathematics"
}
|
00307
What is -0.4156 rounded to one decimal place?
-0.4
What is 195200 rounded to the nearest 1000?
195000
What is -0.00011423 rounded to 5 dps?
-0.00011
What is -0.0002107 rounded to five decimal places?
-0.00021
What is 0.14561 rounded to two decimal places?
0.15
What is -0.0001793 rounded to four decimal places?
-0.0002
Round 0.0000019499 to seven decimal places.
0.0000019
What is 3981400 rounded to the nearest 10000?
3980000
What is -5.94 rounded to the nearest ten?
-10
Round 23296000 to the nearest 100000.
23300000
Round -0.01328 to 3 decimal places.
-0.013
What is -12126.9 rounded to the nearest ten?
-12130
Round -114 to the nearest one hundred.
-100
Round -398.33 to the nearest ten.
-400
Round 205 to the nearest ten.
210
What is 0.01303 rounded to four dps?
0.013
What is 1.1361 rounded to 2 dps?
1.14
Round -0.005182 to 3 decimal places.
-0.005
Round 346.17 to zero dps.
346
Round -186913 to the nearest 10000.
-190000
What is -25013000 rounded to the nearest one million?
-25000000
Round 30631300 to the nearest 100000.
30600000
Round 0.000058213 to six dps.
0.000058
Round 1359520 to the nearest ten thousand.
1360000
Round 1114200 to the nearest one hundred thousand.
1100000
Round -31214000 to the nearest one hundred thousand.
-31200000
What is -0.0851 rounded to two decimal places?
-0.09
Round -7.9402 to one decimal place.
-7.9
What is -44370 rounded to the nearest one thousand?
-44000
Round -0.00061137 to six dps.
-0.000611
What is -5055000 rounded to the nearest one hundred thousand?
-5100000
What is 0.00014472 rounded to six decimal places?
0.000145
Round -598430000 to the nearest 1000000.
-598000000
Round -17.2135 to the nearest integer.
-17
Round 0.009412 to three decimal places.
0.009
Round 0.005782 to 4 dps.
0.0058
Round 8900000 to the nearest 1000000.
9000000
What is -13.455 rounded to one dp?
-13.5
What is 2016.7 rounded to the nearest 10?
2020
What is 17690000 rounded to the nearest one hundred thousand?
17700000
Round 0.62142 to two decimal places.
0.62
Round -1298700 to the nearest one hundred thousand.
-1300000
What is -0.0062997 rounded to 3 decimal places?
-0.006
Round -0.0946 to 3 decimal places.
-0.095
What is 398.09 rounded to the nearest ten?
400
What is -0.000002196 rounded to six dps?
-0.000002
What is 11897000 rounded to the nearest 1000000?
12000000
Round -0.086504 to two decimal places.
-0.09
What is -1.795 rounded to the nearest integer?
-2
Round -0.0000077566 to 6 dps.
-0.000008
What is -346.5 rounded to the nearest 10?
-350
What is -0.000062166 rounded to seven dps?
-0.0000622
Round -137.2 to the nearest ten.
-140
What is -0.215445 rounded to 3 dps?
-0.215
What is 1.646 rounded to 1 decimal place?
1.6
What is -0.0000659 rounded to 5 decimal places?
-0.00007
What is -0.0027491 rounded to five dps?
-0.00275
Round -0.00000063 to seven decimal places.
-0.0000006
What is -4982000 rounded to the nearest 100000?
-5000000
What is 12480 rounded to the nearest one thousand?
12000
Round 0.001304 to four dps.
0.0013
What is -0.000045778 rounded to six dps?
-0.000046
What is 0.0002883 rounded to 4 dps?
0.0003
Round -8.812 to one decimal place.
-8.8
Round 0.000020255 to 6 decimal places.
0.00002
Round 0.02281 to three dps.
0.023
Round -0.0000009472 to 7 decimal places.
-0.0000009
What is -1222980 rounded to the nearest ten thousand?
-1220000
What is -53.886 rounded to the nearest integer?
-54
Round 5.037 to one dp.
5
Round -38.112 to the nearest ten.
-40
What is 52736 rounded to the nearest 1000?
53000
What is -76000 rounded to the nearest one million?
0
What is -28756 rounded to the nearest 100?
-28800
What is -0.0124989 rounded to four dps?
-0.0125
Round 0.04494 to 3 dps.
0.045
What is 1633 rounded to the nearest 100?
1600
Round 2092 to the nearest ten.
2090
Round -0.00001049 to seven dps.
-0.0000105
Round 0.57485 to 2 dps.
0.57
What is -0.010226 rounded to 3 dps?
-0.01
What is -7.56 rounded to the nearest integer?
-8
Round -90.56 to the nearest integer.
-91
What is 0.0177458 rounded to 3 decimal places?
0.018
What is -0.045535 rounded to three decimal places?
-0.046
What is -1244.23 rounded to the nearest 10?
-1240
What is -0.0000818 rounded to 5 decimal places?
-0.00008
What is 21.5 rounded to zero decimal places?
22
Round 5494.2 to the nearest 10.
5490
Round -110620000 to the nearest 1000000.
-111000000
Round -12.25 to the nearest ten.
-10
What is -20570 rounded to the nearest 1000?
-21000
What is -26.784 rounded to the nearest integer?
-27
What is -91.7 rounded to the nearest one hundred?
-100
What is -0.092149 rounded to 2 dps?
-0.09
What is 0.0003548 rounded to 5 decimal places?
0.00035
What is -0.0000537 rounded to five decimal places?
-0.00005
Round -3907 to the nearest one hundred.
-3900
Round -0.0000003723 to 7 decimal places.
-0.0000004
What is -0.026446 rounded to four decimal places?
-0.0264
What is -0.0000073972 rounded to seven decimal places?
-0.0000074
What is 0.0000168 rounded to 5 dps?
0.00002
Round 506550 to the nearest one hundred thousand.
500000
Round -30122200 to the nearest 100000.
-30100000
What is 0.0000080973 rounded to six decimal places?
0.000008
Round 0.70239 to one dp.
0.7
What is -124030 rounded to the nearest one thousand?
-124000
What is 0.004217 rounded to 4 decimal places?
0.0042
Round -31.607 to one dp.
-31.6
Round -1189000 to the nearest one million.
-1000000
What is 259084 rounded to the nearest one thousand?
259000
What is 0.0031718 rounded to four decimal places?
0.0032
Round 0.6439 to 1 dp.
0.6
Round -0.000025122 to 6 dps.
-0.000025
Round -3.349 to 1 dp.
-3.3
Round 0.0005878 to four dps.
0.0006
Round 14737.3 to the nearest one hundred.
14700
Round 2995000 to the nearest 10000.
3000000
What is -7640000 rounded to the nearest 1000000?
-8000000
What is 0.0000257503 rounded to 5 dps?
0.00003
What is 45971900 rounded to the nearest one hundred thousand?
46000000
What is 0.267775 rounded to three dps?
0.268
What is 0.26333 rounded to 2 dps?
0.26
Round 0.0000025586 to 7 dps.
0.0000026
What is -196000 rounded to the nearest one hundred thousand?
-200000
Round 836.76 to the nearest one hundred.
800
What is -62600 rounded to the nearest 100?
-62600
Round -131720 to the nearest ten thousand.
-130000
Round -20.19 to 0 dps.
-20
Round -0.0032428 to five decimal places.
-0.00324
What is -90100 rounded to the nearest 10000?
-90000
Round 60300 to the nearest 10000.
60000
Round 0.0001602 to 5 decimal places.
0.00016
Round -1.289 to zero dps.
-1
Round 521 to the nearest 100.
500
Round 188120000 to the nearest one million.
188000000
Round 0.1417 to 2 dps.
0.14
What is 0.000004065 rounded to 7 decimal places?
0.0000041
What is -2570920 rounded to the nearest 10000?
-2570000
Round -0.00004873 to five dps.
-0.00005
What is -26040 rounded to the nearest ten thousand?
-30000
Round 4751000 to the nearest one million.
5000000
Round -20740000 to the nearest one million.
-21000000
Round 9743.9 to the nearest one thousand.
10000
Round -178.65 to the nearest ten.
-180
Round 66050 to the nearest 10000.
70000
Round -21.49 to the nearest ten.
-20
Round 6.632 to 1 dp.
6.6
What is 2942400 rounded to the nearest 10000?
2940000
What is 0.0001805 rounded to four decimal places?
0.0002
Round 0.57071 to one decimal place.
0.6
Round -1065000 to the nearest ten thousand.
-1070000
Round 3120.86 to the nearest 100.
3100
Round 9.41 to zero decimal places.
9
What is 1913 rounded to the nearest one hundred?
1900
What is -48445000 rounded to the nearest one million?
-48000000
Round -114.6 to the nearest ten.
-110
Round -0.043 to 3 decimal places.
-0.043
Round -0.00017711 to 6 decimal places.
-0.000177
Round -8.167 to one dp.
-8.2
Round -0.0114801 to 4 dps.
-0.0115
Round -0.01418 to two decimal places.
-0.01
Round -0.00100576 to 4 dps.
-0.001
What is 52362000 rounded to the nearest one million?
52000000
Round -0.007487 to three decimal places.
-0.007
What is 2.31 rounded to zero dps?
2
What is -0.000829 rounded to five decimal places?
-0.00083
What is -2.8852 rounded to 1 dp?
-2.9
Round -57.333 to the nearest 10.
-60
What is -325290000 rounded to the nearest one million?
-325000000
What is -0.00002156 rounded to 5 dps?
-0.00002
What is -11.046 rounded to one dp?
-11
Round 256500 to the nearest 100000.
300000
Round -0.00102963
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0.06982. Let u = 85 + k. What is u rounded to two decimal places?
0.19
Let i = 1421579 + -1421578.3126065. Let n = 14.6873894 - i. Let u = n - 14. What is u rounded to 6 dps?
-0.000004
Let j = -2.8943908 - -4.0733565. Let s = -12.1789597 + j. Let z = s + 11. Round z to five decimal places.
0.00001
Let u = -14 - -13.5. Let w = u - -15.5. Let r = w + -15.00028. What is r rounded to 4 decimal places?
-0.0003
Let r(i) = 0*i + i + 152000*i**2 - 2*i - 1. Let c be 2/5*(20/8 + -5). Let d be r(c). Round d to the nearest 10000.
150000
Let k = 2.222524263 - -87.777475327. Let o = 90 - k. What is o rounded to 7 dps?
0.0000004
Let y = -10169 + 10168.999985963. Round y to 6 decimal places.
-0.000014
Let p = 127845 - 46245. Suppose p = -3*f - f. Round f to the nearest 1000.
-20000
Let s = -371 - -318. Let l = 55 - 12. Let h = l - s. Round h to the nearest 10.
100
Suppose 36*z - 109001081 = -29909081. Round z to the nearest 100000.
2200000
Let d = -19 + 29. Let z be 10336/d*(6 - 3131). Round z to the nearest 100000.
-3200000
Let l = -77.571035 - -87.571. Let a = -10 + l. What is a rounded to five decimal places?
-0.00004
Let f = -2.18 + 0.28. Let o = 3.8 + f. Let b = -1.899872 + o. What is b rounded to 5 decimal places?
0.00013
Let o = 21.90000726 - 21.9. What is o rounded to six decimal places?
0.000007
Let j = 4 + 10. Let b = 5 - j. Let a = b - -8.99952. What is a rounded to 4 dps?
-0.0005
Let t = 871.69366 - 860.69366005. Let x = 10.97 - -0.03. Let w = t - x. What is w rounded to seven dps?
-0.0000001
Let q = -0.1008 + 0.100007. Round q to three dps.
-0.001
Let b(u) = u**2 - 7*u - 2. Let s be b(7). Let k be (s - 25422/9)*-1875. Round k to the nearest one million.
5000000
Let q = -382.4 + 309. Let p = 0.14 - 87.14. Let u = p - q. What is u rounded to zero dps?
-14
Let k = -20718883 - -20718872.9999995. Let c = 10.18 + -0.18. Let p = c + k. Round p to six dps.
-0.000001
Let z = 341299765 + -341300120.9999691. Let u = z - -356. Round u to six dps.
0.000031
Let m(o) = -15444*o**2 - 14*o + 38. Let h(k) = 2*k**2 - 10*k + 3. Let i be h(5). Let x be m(i). Round x to the nearest ten thousand.
-140000
Suppose 10*k = 6*k. Let q be (k/(-4))/((-6)/(-3)). Suppose -2*d - 166002 = -4*d + 2*t, q = 5*d - 2*t - 415002. Round d to the nearest 10000.
80000
Let s = 1.31 + -1.309833. What is s rounded to four decimal places?
0.0002
Let u = -166 - -165.9999843. Round u to 6 dps.
-0.000016
Let j = 0.095698779 + -0.0957. Round j to seven dps.
-0.0000012
Let o = 4 + 1. Suppose -4*s - 2*y = -o*s - 37906, -2*s + 5*y = 75815. Round s to the nearest 10000.
-40000
Let u = 42 - 14. Let g = u + -34.8. Let n = g + 6.80000079. What is n rounded to 7 decimal places?
0.0000008
Let w = -34.6 - -35.374. Round w to 1 dp.
0.8
Let h = 35 - 43.6. Let m = -0.4 + h. Let p = 8.9969 + m. What is p rounded to three decimal places?
-0.003
Let n = 53 + -24. Let g = -29.000035 + n. What is g rounded to 5 dps?
-0.00004
Let w = 857692 - -544801. Let j = -1134559 - -2117052. Let x = w - j. Round x to the nearest one hundred thousand.
400000
Let p(h) = 14*h**3 - 13*h**2 - 1. Let a be p(10). Let s = a + -4699. Round s to the nearest one thousand.
8000
Suppose 0 = 5*q + j + 9290000, -82*j = 4*q - 86*j + 7432000. What is q rounded to the nearest one million?
-2000000
Let l(a) = -21848*a**3 + a**2 - 10*a + 17. Let f be l(13). What is f rounded to the nearest 1000000?
-48000000
Suppose 0*o - 4*o = -4*t - 23540, -4*o = -2*t - 23546. What is o rounded to the nearest 100?
5900
Let p = -32.78075 - 27.21886. Let o = -0.067 + 60.067. Let r = p + o. What is r rounded to four dps?
0.0004
Let l = -374.7 + 651.74. Let w = l - 218.2. Let s = w - 60. Round s to one dp.
-1.2
Let s be 1238/10*(-41 + 36). What is s rounded to the nearest 10?
-620
Suppose -b - 6617267 = -5*k + 705735, b - 7322998 = -5*k. Round k to the nearest 10000.
1460000
Let i = 742466746.00000022 + -742466736. Let w = 111 + -121. Let o = w + i. Round o to 7 decimal places.
0.0000002
Let z = 0.186 + -0.092. Let t = -0.036 + z. Round t to 2 dps.
0.06
Let o = -791.99999647 + 792. What is o rounded to 7 dps?
0.0000035
Let q = 106.183 + -106.3. What is q rounded to one decimal place?
-0.1
Suppose -15*m + 189 = 6*m. Let b(k) = 2*k**3 + 9 - 4*k**3 + k**3. Let j be b(m). Round j to the nearest 100.
-700
Let n = 30 + -27.3. Let x = 3.4 + n. What is x rounded to zero decimal places?
6
Let f = 94 + -94.0632. Let a = -0.04 - f. What is a rounded to 2 dps?
0.02
Let o = -490.999877 - -491. Round o to 4 dps.
0.0001
Let p = -17.14 - -17. Let h = -140.6522 + 140.8. Let z = h + p. What is z rounded to 3 dps?
0.008
Let s = -244 + 249.32. Round s to the nearest integer.
5
Suppose m - 5*m - 1462736 = 0. Let r = 70684 + m. Round r to the nearest 100000.
-300000
Let h = 5 + -16. Let c = 14.135 + -3.08. Let q = c + h. Round q to two decimal places.
0.06
Let s = -30.15 - -68.32. Let y = -38 + s. Let p = y - 0.17028. What is p rounded to four dps?
-0.0003
Let t be 1311 + 1 - (-2)/1. Suppose -5*z - 3*m - 1644 = 0, -4*z - 4*m = -m + t. What is z rounded to the nearest 100?
-300
Let r(s) = -35*s**3 + 3*s**2 - 3*s - 11. Let o be r(-3). Round o to the nearest 100.
1000
Let z(b) = 3*b - 36. Let n be z(11). Let y be (10000/n)/(2/(-7))*780. What is y rounded to the nearest one million?
9000000
Let c = -6548020 - -4627715. Let i = -1920306.600022 - c. Let l = i + 1.6. What is l rounded to 5 dps?
-0.00002
Let h = -46 + 46.082. Let c = -3.782 + h. What is c rounded to the nearest integer?
-4
Let j = -113 + 122.3. Let z = 28.9 - j. What is z rounded to the nearest integer?
20
Suppose 0 = 9*z - 11 - 16. Suppose -4*l + 1140 = -4*q + 228, 0 = -z*l - 4*q + 677. What is l rounded to the nearest ten?
230
Let q = -0.61 - -31.61. Let h = q - 31.85. Let l = -1.32 - h. What is l rounded to 1 decimal place?
-0.5
Let s = -1477.0000579 - -1477. What is s rounded to 5 dps?
-0.00006
Let d be -1*(-3)/(-9) + (-44)/(-6). Suppose -d*a = 12*a - 8056000. Round a to the nearest 10000.
420000
Let v = 3 - 2.45. What is v rounded to one dp?
0.6
Let x = 37 - 37.23. Let w = -0.01 + x. What is w rounded to one decimal place?
-0.2
Let n = 0.1498 + -0.0871. What is n rounded to two decimal places?
0.06
Let f = -1.0981 - -0.5518. Let z = -1.65 - -1.1. Let v = z - f. Round v to three dps.
-0.004
Let m(d) = 14*d - 11. Let y be m(2). Suppose 4*i + x = 101600003, 5 - y = -4*x. What is i rounded to the nearest one million?
25000000
Let a be 949 - (-1 + 0 + 2). Suppose -2562 = p + a. What is p rounded to the nearest 100?
-3500
Let y = 449327439 + -449327395.0999677. Let g = -43.9 + y. What is g rounded to 6 decimal places?
0.000032
Suppose -2*m = 3*a - 4*m + 76492, 5*a - 4*m + 127484 = 0. Round a to the nearest 1000.
-26000
Let a(m) = 1337500*m**2 + 3*m + 12. Suppose -12*l + 11*l = 4. Let y be a(l). What is y rounded to the nearest 1000000?
21000000
Let l = -0.36 - 0.24. Let s = -15.6 - l. Let p = -15.000324 - s. Round p to 5 dps.
-0.00032
Let n(x) = 216*x**3 - x**2 - 6*x - 30. Let y be n(8). Round y to the nearest ten thousand.
110000
Let w = 732 - 734.99. Round w to 1 decimal place.
-3
Let r = 13.8 + -15. Let d = -3.2 - r. Let c = -2.000002 - d. What is c rounded to 5 decimal places?
0
Let n(v) = 103*v**3 - 3*v**2 + 17*v - 26. Let m be n(-18). What is m rounded to the nearest 100000?
-600000
Let v = -9.1297824 - -9.13. Round v to five dps.
0.00022
Let u(j) = 768*j + 4. Let i(w) = 2*w + 17. Let b be i(-10). Let z be u(b). What is z rounded to the nearest 1000?
-2000
Let w(a) = -270*a**3 + a**2 + a + 4. Suppose 4*o + 5*t = -27, 4*o + 3 + 6 = t. Let b be w(o). What is b rounded to the nearest 1000?
7000
Let g = -2.16 + 0.62. Let b = g - 36.66. Round b to the nearest ten.
-40
Let a be (-1)/2*(0 - -4). Let d be (14/7)/((-1)/a). Suppose -d*i + 289 + 151 = 0. What is i rounded to the nearest one hundred?
100
Let u = 112 - 186. Let b = u - -73.9845. What is b rounded to 3 dps?
-0.016
Let r(i) = -7*i**3 + 2*i**2 + 5*i + 13. Let t be r(-11). Suppose -17*d + 31793 + t = 0. Round d to the nearest 100.
2400
Suppose -4*z + 1382 = 362. Suppose -m = p - z, 3*p - 7*p + 2*m = -1020. Let g be (p/(-6))/(1/2000). What is g rounded to the nearest 10000?
-90000
Let m = -118.1 + 123. Let f = m - -1.2. What is f rounded to the nearest integer?
6
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-15)/2.
7
Suppose 5 - 29 = -i. Suppose -5*q + 6 + i = 0. Let m = 9 - -2. What is the remainder when m is divided by q?
5
Let g(u) = 14*u - 63. Let y = 19 - 3. What is the remainder when g(9) is divided by y?
15
Let m = -18 + 22. Suppose 16 = 4*d - 6*a + a, -4*d + a + 32 = 0. Calculate the remainder when d is divided by ((-24)/(-18))/(m/18).
3
Let z be -50 + (0 - 1 - 1). Let n = -35 - z. Calculate the remainder when n is divided by 6.
5
Suppose 64 = 2*m - 6*m. Let y = 12 - m. What is the remainder when y is divided by 15?
13
Let m be 2*1*3/2. Suppose 4*l + 5 = h + 11, -h + 3*l = m. What is the remainder when 17 is divided by h?
5
Let o(x) = -x**3 + 4*x**2 + 2*x - 3. Let w be o(4). Let p = -8 - -11. Suppose s + p*a = 5*s - 48, 29 = s - w*a. What is the remainder when 17 is divided by s?
8
Let d(q) = -q**3 + 2*q**2 + 3*q - 3. Let s be d(2). Suppose s*c - 73 = 23. Suppose -2*p - 17 = -3*p. Calculate the remainder when c is divided by p.
15
Let r = 57 + -45. What is the remainder when (11*3 + 2)*1 is divided by r?
11
Let l = -12 + 25. Let f(n) = -13*n + 8. Let p be f(6). What is the remainder when 1/(-3)*(-5 + p) is divided by l?
12
What is the remainder when (8 + 2)*(-88)/(-16) is divided by 19?
17
Let m(j) = 6*j**3 + j. What is the remainder when 12 is divided by m(1)?
5
Let v be 6 + (-3)/3 - 1. Let n(a) = -9*a - 3. Let k be n(-2). Suppose 2*t = -3*j + 17, 2*j = -v*t - 1 + k. What is the remainder when 8 is divided by j?
3
Suppose -v = -4*u - 3*v - 4, 5*u + 5*v - 5 = 0. Calculate the remainder when 84/(0 - u) + 0 is divided by 15.
13
Let t be 5 + -7 + 1*4. What is the remainder when 11 is divided by (t/(-4))/(2/(-12))?
2
What is the remainder when 12/(-16) - (-478)/8 is divided by 15?
14
Let n = -14 + 23. Let s be n/(-12) - (-3)/(-12). What is the remainder when (s - 0) + 2 + 18 is divided by 7?
5
Let f = 29 - 23. What is the remainder when f is divided by 3?
0
Suppose 6*a - 10*a + 96 = 0. Calculate the remainder when a is divided by 9.
6
Suppose 2*p - 16 = 2. What is the remainder when 17 is divided by p?
8
Let u = 3 + -1. Suppose -2*f + 14 = 4. Suppose 7 + 3 = f*h. What is the remainder when h is divided by u?
0
Let g = 0 + -2. Let b(w) = w**3 - 6*w**2 + 3*w - 3. Calculate the remainder when (29/g)/(2/(-4)) is divided by b(6).
14
Let l be 22/165 + (-26)/(-30). Suppose -2*u + 21 = 5*c - 3*u, l = c - u. Let j(o) = o - 1. What is the remainder when c is divided by j(3)?
1
Let b(i) = 2*i**2 - 6*i + 4. Let g be b(-5). Let a = 128 - g. Calculate the remainder when a is divided by 88/6 - 1/(-3).
14
Suppose 3*q = 44 + 4. Let o be q/((-3)/9*2). Let f = -15 - o. Calculate the remainder when 26 is divided by f.
8
Let f(t) be the third derivative of -t**4/24 - t**3/3 - 3*t**2. Calculate the remainder when 17 is divided by f(-8).
5
Suppose 3*n + u - 21 = -2*u, 5*n = 4*u - 1. Suppose -w + 15 = -2*a + 1, -5*a = 4*w - 30. What is the remainder when w is divided by (-1)/(4/n)*-8?
4
Let k(a) = -a**2 + 1 - 2*a + 3*a - 2*a + 4*a**2. Calculate the remainder when 4 is divided by k(1).
1
Suppose 26*c = 28*c - 26. What is the remainder when 25 is divided by c?
12
Suppose 135 = 13*z - 8*z. What is the remainder when z is divided by 19?
8
Let p = -9 + 16. Calculate the remainder when 8 is divided by p + -4 - (0 + -2).
3
Suppose 9*u = 2*u + 287. What is the remainder when u is divided by 14?
13
Let h(r) = 4*r + 37. What is the remainder when h(13) is divided by 13?
11
Let o = 5 + 1. Let p(w) = w**2 - 7*w + 16. What is the remainder when o is divided by p(3)?
2
Let j be (3 - 7/1) + -1. Let x(b) be the second derivative of b**4/12 + b**3/2 - 3*b**2 + b. What is the remainder when 6 is divided by x(j)?
2
Let m = 140 + -131. What is the remainder when m is divided by 5?
4
Suppose 1206 = x + 8*x. What is the remainder when x is divided by 15?
14
Let m = -140 + 69. Suppose 4*d + 87 + 53 = 5*k, -64 = 2*d - k. Let x = d - m. Calculate the remainder when x is divided by 14.
13
Let n = -6 - -8. Calculate the remainder when 17 is divided by 19/n + 3/6.
7
Let c = 37 + -30. What is the remainder when c is divided by 2?
1
Let s be -2 - (-2 - -37 - -3). Let f be s/(-18) - 8/36. What is the remainder when 3*((-39)/(-9) - f) is divided by 3?
1
Let h = 17 + -10. What is the remainder when h is divided by 36/10 + 4/10?
3
Calculate the remainder when 182/6 + -2 - (-2)/3 is divided by 16.
13
Let v = 0 + 0. Suppose 0*s - 3*s + 21 = v. Suppose 2 = 4*a - 10. Calculate the remainder when s is divided by a.
1
Suppose -2*h + 32 = 2*h. Calculate the remainder when 29 is divided by h.
5
Let i(o) = 99*o**2 - 2*o + 2. Calculate the remainder when i(1) is divided by 20.
19
Suppose 500 = 3*t + 155. What is the remainder when t is divided by 29?
28
Let u be (-1)/2 - (-30)/(-4). Let x(w) = -6*w - 3. Let v be x(-3). Let f = v - u. Calculate the remainder when f is divided by 8.
7
Let m(u) = u**3 - 7*u**2 - 6*u - 10. Let w be m(8). Suppose -15 = t - w. Let n = 3 - t. What is the remainder when 35 is divided by n?
11
Suppose -w - 3 = -6. Suppose w*s - 20 = s. What is the remainder when 28 is divided by s?
8
Let t be (7 - 2)*(-2)/(-10). Suppose 15 = 6*p - 5*p. Calculate the remainder when p is divided by (-24)/(-3) - (t - 1).
7
Let v(p) = 18*p - 19. Calculate the remainder when v(7) is divided by 36.
35
Calculate the remainder when (-34)/(-6) + -1 + (-12)/18 is divided by 3.
1
Suppose -17*d + 18*d - 27 = -4*j, 0 = 5*d - 5*j - 160. Suppose 0*l - 4*u = 3*l - 25, -2*l + 24 = -u. Calculate the remainder when d is divided by l.
9
Suppose 4*w = -5*s - 0*w + 30, -3*s + 4*w - 14 = 0. Suppose -s*z = -25 + 3. What is the remainder when 30 is divided by z?
8
Suppose -6 = s - 3*s. Suppose s*b + 2*b = 135. Suppose 63 = 5*z - 2*m, -2*z + b + 1 = 2*m. What is the remainder when z is divided by 7?
6
Let c be (-1 - 6/(-10))*-5. Suppose 0*w + 23 = -w - 4*q, w = c*q + 7. Calculate the remainder when (6/(-15))/(w/255) is divided by 18.
16
Let y = 29 - 14. What is the remainder when 59 is divided by y?
14
Calculate the remainder when 25 - (4/(-1) - -2) is divided by 18.
9
Calculate the remainder when 26 is divided by ((-14)/8)/(3/(-12)).
5
Suppose 61 = 3*a - 200. Calculate the remainder when a is divided by 7.
3
Let y = -11 - -15. Suppose a - y = 14. What is the remainder when 33 is divided by a?
15
Let f(d) = 2*d + 1. What is the remainder when 8 is divided by f(1)?
2
What is the remainder when (-4)/(-18) - (-3005)/45 is divided by 35?
32
Let j = -104 + 176. Suppose 4*k - 2*k = 3*l + j, 2*k - 72 = -4*l. Calculate the remainder when k is divided by 13.
10
Let c = 189 + -161. What is the remainder when c is divided by 20/(-6)*-1*3?
8
Let p = 58 - 34. Suppose -3*s + 0 - 34 = 4*f, 3*f - 47 = 5*s. Let j(g) = g**2 + 8*g - 7. Calculate the remainder when p is divided by j(s).
11
Let p = -32 - -56. What is the remainder when p is divided by 9?
6
Let w(s) = -9*s - 19. What is the remainder when w(-6) is divided by 9?
8
Let o = -4 + 3. Let g be o + 0 + (0 - -1). Calculate the remainder when 31 is divided by -33*(g + 1/(-3)).
9
Let k(z) = -z + 2. Suppose 98 = 5*h + 4*p, -h + 2*p = -0*h - 28. Calculate the remainder when h is divided by k(-6).
6
What is the remainder when 1*190*1/2 is divided by 24?
23
Suppose 0 = -7*x + 4*x + 60. What is the remainder when 37 is divided by x?
17
Let p = -44 - -86. What is the remainder when 123 is divided by p?
39
Let c = 6 + 11. Suppose 0 = 2*d - z - 9, 0 = -d - 0*z + 2*z + 12. Calculate the remainder when (-1158)/(-36) + d/(-12) is divided by c.
15
Suppose -t + 5 = -5*m + 12, -t + 2 = -2*m. Suppose t*v - 80 = 3*v. Suppose 130 = 5*l - 100. Calculate the remainder when l is divided by v.
14
Suppose 0 = 3*a + 30 - 183. Calculate the remainder when a is divided by 17.
0
Suppose -29 = -4*z + 5*y, 23 = z - 3*z - 5*y. Let h be (z - (0 - 1)) + 1. Calculate the remainder when 6 is divided by 1/(-3) - (-13)/h.
2
Let m be (8/6)/((-2)/(-12)). Let g(n) = -n**3 - 4*n**2 + 4. Let a be g(-4). Let k = m - a. What is the remainder when 7 is divided by k?
3
Let j be 15 + 0/(-1 + 4). Let z = j + -9. Calculate the remainder when 9 is divided by z.
3
Let a = 42 + -19. Suppose 29 + a = 2*l. Let d(o) = -o**3 + 3*o**2 + 6*o - 1. Calculate the remainder when l is divided by d(4).
5
Let v be 4/8 + 389/2. Suppose -2*i - 3*i
|
{
"pile_set_name": "DM Mathematics"
}
|
is positive.
m**(-28457/483)
Simplify ((s**(-3/14)*s**(-32))/((s*s**10)/s)**20)**(17/2) assuming s is positive.
s**(-55267/28)
Simplify (j**(-36)*j*j*j*(j*j/j**(3/2))/j)/((j/(j**20*j))/j*j*j*j)**28 assuming j is positive.
j**(941/2)
Simplify ((t*t**1*t)**(-32)/((t/(t*t*t**(-2/19)*t*t))/((t**(-3)*t)/t)))/(t**(-7)/(t**(-1/2)/t)*t**(-5)*t**(-5)) assuming t is positive.
t**(-3063/38)
Simplify (w**(-20)/(w*w**(1/18)/w)*w*w**26*w*w*w*w**8*w)**(-5/12) assuming w is positive.
w**(-1705/216)
Simplify ((z*z**(-2/9)/z)**(-5/9)/(z/z**0)**(2/41))/((z**(-2/3))**(-1/29)/(z**(-9)*(z/z**(-2/21))/z)) assuming z is positive.
z**(-5968415/674163)
Simplify (((v/(v/v**(2/3)))/v)/v*v*v**(-11/2)*v*v**(9/4)*v*v**13)**(-14) assuming v is positive.
v**(-959/6)
Simplify (((u/((u/u**(-2))/u)*u)/u)**23*(u**(-1)*u)/(u*u*u**(-5)))/((u**(-4)/(u**(-3)/u))/(u**(-2/3)*u*u**(-1)*u)) assuming u is positive.
u**(-59/3)
Simplify p*p/(p*p**(6/7)*p)*p*p/((p**(4/3)/p)/p)*(p**(-2))**(-23)*(p**8*p/p**(-6))/((p*p/(p*p**(-6/11)*p)*p*p)/p*p**7) assuming p is positive.
p**(12535/231)
Simplify ((k*k*k**16*k)**(-2/23)/((k*k**(-20)*k)/k*k**(-12)))**(-23/2) assuming k is positive.
k**(-675/2)
Simplify (a*a/((a/((a*a**(34/7)*a*a)/a*a))/a)*a)/(a**7*a*a)*a**(1/18)*a**(-29) assuming a is positive.
a**(-3413/126)
Simplify ((o/o**0)**(-1/31)*(o/(o**(2/3)/o*o))/o**(-5))/(((o/(o**(1/4)/o))/o)**(-24)/(o**4/o**(1/4))) assuming o is positive.
o**(10063/372)
Simplify ((q**(2/3))**28*(q**(-2)*q)/(q*q*q/(q*q**(1/5)/q*q)*q))/((q*q**(-2/5))**(-1/7)*(q**(-2/5)/q*q)**(-39)) assuming q is positive.
q**(-68/105)
Simplify ((r/((r/(((r/(r**6*r))/r)/r))/r))/(r/r**(-2)))/(r**(-1))**(-37)*(r**1*r*r*r*r**2)/(r**4/r*r**(3/7)/r) assuming r is positive.
r**(-304/7)
Simplify (((d*d/(d**(-1/4)/d))/d)/d**5)/((d*d/d**(-1))/d)**(-4)*d**(-2/7)/d**(1/2)*d*d**(-6/7)/d*d**(3/10) assuming d is positive.
d**(547/140)
Simplify ((n**(-10))**(3/2)*(n**(-7))**(-20))**(-5/4) assuming n is positive.
n**(-625/4)
Simplify ((l**(-1/2)*l/((l/(l**13*l))/l))/(l**(-1))**(-2/19))**(-2/9) assuming l is positive.
l**(-547/171)
Simplify (n**(-1)/(n**(-4/7)*n))**(12/5)/((n/n**(-2/7))**(3/25)*n**(-6)*n**(2/11)*n) assuming n is positive.
n**(2378/1925)
Simplify ((q**(31/5)*q)/(q*q**(-19/6)))/(q**(1/16)*(q**(-20)/q)/q*q) assuming q is positive.
q**(7273/240)
Simplify (((d**(-4)/d*d)/d)/(d/d**(-7)))/(d*d*d*d/(d/(d*d**(5/2)))*d*d/(d/(d**(-3)*d)*d))*(d*d**(2/11)*d**(-2/3))**(-8) assuming d is positive.
d**(-1427/66)
Simplify ((((h*h/h**(-6))/h*h/h**(1/7))**(5/3))**48)**(-40) assuming h is positive.
h**(-176000/7)
Simplify (((k/(k*k**4/k)*k)**(-1/40)/(k**(1/2))**(-45))**(28/9))**(-2) assuming k is positive.
k**(-6314/45)
Simplify (p**(-5)*p**(-1/4)*p*p/(p/(((p/(p*p**(-1)/p*p))/p*p)/p)*p)*p**0)/((((((p/(p*p**6*p))/p)/p*p)/p)/p*p)/p**(-2/9))**(-9) assuming p is positive.
p**(-337/4)
Simplify (l**2/l*l**2)**2/((l*l**0)**(-1/4))**(1/7) assuming l is positive.
l**(169/28)
Simplify ((m**0*m)**(6/19)/(m**0)**18)/((m/(m*m**(-2)*m*m)*m)/((m/m**(-4))/m*m)*(m*m**(2/5)/m*m)**(-10/11)) assuming m is positive.
m**(1168/209)
Simplify ((d**2*d**(-1))/(d/(d*d**(1/4)))**(1/16))/((d**(2/19)*d*d)/d**0*(d**(-4)*d)/d**(1/7)) assuming d is positive.
d**(17477/8512)
Simplify (((q**(3/5)/q)/(q/q**6*q))/(q*q**(2/3))**(-36))/((q**(3/8)*q**(-3/2))/(q**(-3/10)/q**(-3/7))) assuming q is positive.
q**(18159/280)
Simplify ((j**0)**29/(j**(-1/4)*j**(2/3)))/((j**(1/2)/j**4)/((j/(((j*(j/(j**(1/9)/j*j))/j)/j)/j)*j)/j**(5/4))) assuming j is positive.
j**(89/18)
Simplify (d/(d*d/(d**16*d))*d**5)**35*((d**(1/7))**40)**(5/7) assuming d is positive.
d**(36215/49)
Simplify ((f**20*f/(f/f**(-9)))/(f/(f*f/f**(-6/13)*f)*f/f**(12/7)))**(-9/5) assuming f is positive.
f**(-2322/91)
Simplify ((x**(-2)*x*x)**(-6/23)/(x**(-2/7)*x*x**(-2/5)/x))/((x**0/x*x*x*x)**(-9/4)*((x/(x/x**1))/x)**(-43)) assuming x is positive.
x**(363/70)
Simplify (((p*p/(p/(p*p**(1/6))*p))/p**6*p*p*((p**(5/3)/p*p)/p)/p*p*p*p*p**(3/8))**(-5/6))**(6/5) assuming p is positive.
p**(-5/24)
Simplify (z**(-33))**(-22)/(z*z**31*z)**27 assuming z is positive.
z**(-165)
Simplify ((h**(-2/5))**(-22/3)*h/(h/((h/(h/(h*h**(1/3))))/h))*h**(-2/17))/((h**(2/7)/h)**45)**22 assuming h is positive.
h**(1267871/1785)
Simplify (((w/((w/(w/(w*w**1)))/w)*w*w*w**27)**(-42))**(-3/40))**34 assuming w is positive.
w**(31059/10)
Simplify (v**(-1/4)*v*v**(2/17))**(-15/2)/(((v/(v*((v*v*v*v**(2/5)/v*v*v*v*v)/v)/v))/v)**(1/24)/((v**6/v)/(v*v**(-5)))) assuming v is positive.
v**(231/85)
Simplify (((q/(q*q*q/(q**(-1/3)*q)))/q)**(-1)*(q**(4/9)*q)/q**5)/((q*q/q**5)/(q**(-4)/q)*q**1*q/q**(1/3)) assuming q is positive.
q**(-44/9)
Simplify ((j*j/(j**(2/11)*j))/j**2)**(6/5)*(((j*(j*((j*j**(1/3))/j)/j)/j*j*j)/j)/j*j**(-2/5)/j)**(11/8) assuming j is positive.
j**(-476/165)
Simplify q**(1/13)/((q**(4/5)/q*q*q)/q)*(q/q**(-2/7)*q)**(2/21)*(q**(4/5)*q*q*q**7*q)**(1/32) assuming q is positive.
q**(-25667/152880)
Simplify ((g**(1/6)*g**29)/(g/(g*g**(-2/13)))**31)**(-26) assuming g is positive.
g**(-1903/3)
Simplify (((m**(-8/15)*m)/(m*m**35*m))/(m**(-42)*m*m**(-7)*m*m))**(-1/2) assuming m is positive.
m**(-71/15)
Simplify ((s**(6/11)*s*s*(s/s**(-4/25))/s)/(s**(-7)*s)**(-47))**(-2/13) assuming s is positive.
s**(153612/3575)
Simplify (f**(-42)/f**(-2/65))/(f**(-2/53)/(f**45/f)) assuming f is positive.
f**(7126/3445)
Simplify ((((r*r*r*r*(r**(-1)*r*r)/r)/r)**(-39)*(r/(r**(-3/4)*r))/(r*r*r**(-1/3)*r*r))**(-14))**(3/19) assuming r is positive.
r**(10073/38)
Simplify ((h**13*(h*h**(-15))/h)/(h**(-3/11)/(h/(h**6*h))))**(-12) assuming h is positive.
h**(1020/11)
Simplify (((((o/(o*o*o**3/o))/o)/o**(-1/2))/((o/(o**(-1)*o))/o*o)**(-1/30))**(3/4))**(2/21) assuming o is positive.
o**(-26/105)
Simplify ((((x*x*(x*x**(-1/2))/x)**(1/34))**(28/9))**(5/11))**(-3/5) assuming x is positive.
x**(-7/187)
Simplify (((y**(-5/9)/y**(-40))**(2/13))**31)**(26/9) assuming y is positive.
y**(44020/81)
Simplify ((g/(g*(g*g/(g/(g**2/g*g)))/g*g))/g**3)**(-1/6)*(g**(-2/9)*g*g*g)/g**(-5)*g**2/g**(-4) assuming g is positive.
g**(133/9)
Simplify (d**(5/2)/(d*d**(2/5)*d))**36*((d/(d/d**(-1)))/(d/d**(-3/5)))/(d**(3/8)/((d**1/d*d)/d)) assuming d is positive.
d**(5/8)
Simplify (p*p*p*p*p**(1/8)*p**(-10/9)*p)**5*(p*p**(-3/8)*p*p*p*p*p)/p**(-3)*((p/p**(1/2))/p)/p*p*p**(-7)/p assuming p is positive.
p**(727/36)
Simplify (((u**(-2)*u)/u)**(-2/35))**(-19)*u**4/((u/(u*u**(2/13)))/u)*u**(-1/5)*u/(u/(u*u/(u/u**5)*u*u)) assuming u is positive.
u**(4906/455)
Simplify ((v*v*v**(-2/7))**(-46))**(-5)/(v**(-8)/((v*v*v**(-2/21)/v)/v))**(-34) assuming v is positive.
v**(2636/21)
Simplify y**(2/9)*y*y**(-2)*(y*y/(y*y**1*y))**(-2/47)*(y**(2/7))**(-24)/(y**(1/7)*y*y**0) assuming y is positive.
y**(-3695/423)
Simplify ((r**19*r)/r**(-2/5)*r/((((r/(r/(r**(32/3)*r)))/r)/r)/r*r)*r**(-20))**(2/11) assuming r is positive.
r**(-248/165)
Simplify (z**1)**(-27)/(z**0)**46*(z/(z**(5/3)*z)*z)/z*z**1*((z**(-7)*z)/z)/(((z*z*z*z**(1/3))/z)/z) assuming z is positive.
z**(-36)
Simplify ((g*g**(2/3)*g)**41*g**(1/24)*g*g/(((g**(-24)/g)/g)/g))**(13/4) assuming g is positive.
g**(14391/32)
Simplify ((h*h**(-1)*h)**35*h**(-4)/h**(2/11))/((h**1)**(-34))**(2/57) assuming h is positive.
h**(20071/627)
Simplify ((q**(2/3))**(-2/71)*q**(-7)/(q/q**(-1)))/(q*q*q**7/q*q*q/(q**(2/5)*q))**(-10/17) assuming q is positive.
q**(-14339/3621)
Simplify (g**(4/7)/(g*g**(-22/7))*(g*g/(g/(g*g**(-2/7))))**(-31))**36 assuming g is positive.
g**(-12708/7)
Simplify (g**(-1/6)/(g**11/g)*g**14*g/((g/(g*g*g/g**(3/13)*g))/g)*g)**(-33) assuming g is positive.
g**(-8239/26)
Simplify (r**(-1))**(-12)*((r/r**(-1)*r)/r*r)**(-3/25)*(r**(-2/3)*r*((r**1/r)/r*r*r)/r)**32 assuming r is positive.
r**(1673/75)
Simplify (b**(-2/15)/(b**5/b))**(1/10)/((b/(b**(2/7)/b*b)*(b*b/b**(-2/5))/b)/((b*(b**(2/9)/b)/b)/b)**35) assuming b is positive.
b**(-101981/1575)
Simplify ((g**(1/2))**(-36))**42*(g**(2/9))**(-6)/(g*g**(1/2)*g*g)**(30/11) assuming g is positive.
g**(-25307/33)
Simplify ((a*a**(-3))**(-1/31))**(-10/3)*(((a/a**3)/a*a)**26)**(-1/9) assuming a is positive.
a**(1552/279)
Simplify ((j/(j**(-6/11)/j))/(j/j**(-4)))**(-28)/((j**0*j)**10*((j*j**1*j)/j*j)**(-32)) assuming j is positive.
j**(1702/11)
Simplify (((g**(-2/85)*g)/((g/(g*g*g**(-2/79)*g))/g*g))/(g**31/(g/g**(-33))))**(-42) assuming g is
|
{
"pile_set_name": "DM Mathematics"
}
|
6)/720*165/(-99)*-6*3/1
-69
(52/(-32)*4)/(21/252)
-78
Calculate 36/2016*16*11/(22/32).
32/7
(((-6)/10)/(21/(-5670)*-189))/((-12)/196)
14
(125/(-12))/((-8)/((-1752)/(-365)))
25/4
(-1)/((-6)/(-120))*4/6*321/214
-20
What is the value of 21/20*(-1)/(-6)*(-19716)/11501?
-3/10
What is the value of ((-3)/(-9))/(-1)*648/72?
-3
(-35*10/750)/((-7)/54)
18/5
((-121)/(105875/2500))/(-3*(-8)/420)
-50
(48/104)/(635/41275)
30
What is the value of 253360/3167*2/(5*2/(-2))?
-32
Evaluate (203/(-812))/(126/(-77616)).
154
What is the value of (24/((-112)/14)*(-2)/(-18))/(167/7014)?
-14
Evaluate 68/136*((-5720)/(-4))/11.
65
What is (((-1242)/2331)/23)/((-6)/(-42)*-2)?
3/37
Calculate ((2936/(-2202))/(3*(-2)/(-333)))/2.
-37
What is the value of (-20)/10*(-8040)/(-240)?
-67
What is (-41764527)/(-452732)*((-8)/4)/(-3*(-2)/4)?
-123
What is the value of (20/150)/((20/(-80))/(6/(-80)))?
1/25
What is the value of ((-21)/((-441)/(-140)))/(150/(-720))?
32
What is the value of (24/(-56))/(780/52780)?
-29
4/(((-150)/(-5))/(-6))*200/(-80)
2
Evaluate (48/4*4/(-16))/(396/108).
-9/11
Evaluate ((-9)/84)/(90/(-160))*7*5/290.
2/87
What is ((20/(-16))/5)/(((-1)/(-20))/(299/(-23)))?
65
What is the value of ((-4670)/3736)/(-1*15)?
1/12
((-3078)/(-2619))/(-38)*34/(-51)
2/97
Calculate ((3/(-22))/((-3)/36))/(624/20592).
54
Calculate (-18445)/(-3162)*702/91.
45
What is 110/145*1480/3256?
10/29
What is the value of (-72)/(-1584)*(-8)/8?
-1/22
(((-2556)/630)/(-71)*-30)/(1*14)
-6/49
Evaluate 22/4*20*12714/(-17930).
-78
Calculate (-245)/1274*702/(-36).
15/4
What is ((-1)/48)/(3226/29034)?
-3/16
1/(-2)*23/(138/9)*(-5512)/234
53/3
What is the value of (((-25)/(-2625))/((-1)/(-6)))/(1/((-14)/(-3)))?
4/15
What is the value of 33760/2532*(-24)/(-352)?
10/11
What is the value of (((-189)/(-672))/(12/(-32)))/(3*2/(-20))?
5/2
What is (((-9)/84)/((130/80)/(-13)))/((-48)/32)?
-4/7
Calculate (20/24)/(-5)*(-90468)/359.
42
What is ((8/(-14))/(-1))/((-11380)/1832180)?
-92
Calculate (11/(297/36))/(16/(-6)*3999/(-124)).
2/129
What is (43/(-172))/((-765)/(-23868))?
-39/5
Calculate 14/12*((-911800)/(-4935))/485.
4/9
What is (-36)/20*(-31)/(558/(-300))*2/(-6)?
10
(6*1)/((-17550)/172575)
-59
Evaluate ((-1)/(-6))/((14795/18480)/(-269)).
-56
Calculate 30/(-4)*(-28628)/18142995.
2/169
(100/245)/(-2)*((-70)/(-4))/(379/(-758))
50/7
Evaluate 7182/(-6156)*(2/28)/((-7)/42).
1/2
Evaluate (63/(-18))/((-3591)/228).
2/9
(31*(-2760)/1746850)/((-2)/(-5)*1)
-6/49
What is (-8)/((-72)/(-18))*(8/(-4))/(-6)?
-2/3
Calculate (-63)/(-34545)*47*-7*11.
-33/5
Evaluate (2/(-124))/(((-12)/(-6048)*-28)/((-2)/9)).
-2/31
What is (14/48)/(48/864)*-8?
-42
63*119/(-4998)*(-1)/((-1)/(-36))
54
Evaluate ((-6)/(-15))/(37*32/35520).
12
What is the value of -1*2*540/35*(-6174)/2352?
81
What is the value of (-92)/42*1197/57?
-46
What is ((-2)/(-8))/((-18783)/(-20870)*1/(-54))?
-15
Evaluate (99/1320)/((-4)/(-64))*(-1)/((-333)/15).
2/37
What is 180/56*(-10308)/(-3594915)?
2/217
122*(2970/(-2376))/(1*(-5)/(-2))
-61
What is ((5/30)/((-15)/60))/(1216/1710)?
-15/16
What is ((-1)/2)/(24/96)?
-2
760/(-38000)*(4/14)/(24/42)
-1/100
(-29)/((1*24)/(-4)*186/372)*-1
-29/3
What is the value of 66/12*2196/(-10065)?
-6/5
What is the value of (-67)/(-268)*-40*-2*(-5)/210?
-10/21
Evaluate ((-110)/10)/(11*(-28)/224).
8
What is 1*4/(-60)*5*774/(-946)?
3/11
Calculate ((-9)/(-54)*-2)/(115/2484).
-36/5
((156/4)/((-576)/(-128)))/(5/(-30))
-52
Calculate -3*(-12)/(-81)*(-15129)/(-97498).
-2/29
((252/(-40))/(-7)*13056/(-8568))/(3/(-15))
48/7
Evaluate -207*(265/(-53))/(36/4).
115
What is 9/15*(20520/(-486))/76?
-1/3
((-144)/147)/(81/189)*7
-16
What is (-19)/((-1425)/(-60))*12/144?
-1/15
((-7)/21)/(4/36*159/(-53))
1
Calculate -55*-76*81/(-46170).
-22/3
Evaluate -4*12/160*(-110)/462.
1/14
What is the value of (-5)/(-410)*1*(-12)/42*14/(-4)?
1/82
Evaluate (1/3)/(286*13/(-3042))*(-4)/2.
6/11
What is the value of (8/33)/(((-10780)/(-495))/(-49))?
-6/11
Calculate (-10)/176*-77*(-122)/(-70455).
1/132
What is the value of (2/(-413))/(3*(-3)/(-27)*(-18)/(-42))?
-2/59
What is (-90)/((-44)/(2992/170))?
36
52/(-156)*-4*(-51)/4
-17
((-122850)/9555)/((-6)/(-28))
-60
Evaluate (-27)/((-1053)/390)*-2.
-20
What is (2/(-812))/((3/(-108))/((-18)/162))?
-2/203
What is the value of ((-38)/(-627))/(5/(-165))?
-2
Evaluate 2*43*(-1513)/(-3026).
43
(36/(-77))/(((205821/(-484))/189)/(63/6))
24/11
(((-5)/((-425)/102))/2)/(1/((-40)/396))
-2/33
What is ((-6)/((-168)/35))/((-20)/(-24))*(-256)/896?
-3/7
Evaluate ((-2)/(-60))/((-54892)/(-343075)).
5/24
Evaluate (-30)/(-5450)*18/54*-10.
-2/109
Calculate ((-6)/69)/((2/(-24))/((-112)/1344)).
-2/23
Calculate (19/1*1300/(-2470))/((-9)/(-63)).
-70
Evaluate ((-8)/(-14)*350/200)/((4/(-21))/(-4)).
21
5/(2/((-380)/38))
-25
(2576/(-49))/46*63/(-10)*(-20)/(-4)
36
(3/(-2)*44/33)/((-51)/(45747/(-46)))
-39
Evaluate (1088/(-16))/(222/(-111)).
34
What is the value of -28*(-101)/((-3030)/(-20))*1/4?
14/3
-13*(-105)/(-63)*6/20
-13/2
What is (-220)/(-6)*402/1340?
11
Calculate ((-58)/16)/((-6)/(-96)*16/(-8)).
29
Evaluate ((-3)/(-22))/((-13528)/186010).
-15/8
Evaluate (-11)/2*328/110044*1159.
-19
What is the value of ((2/112)/(202/2121))/((-1)/(-36))*4?
27
What is the value of 6534/(-6)*(-14)/154?
99
Evaluate (-1*(-2)/(-4))/((-4)/(-72))*255/(-85).
27
Evaluate ((-3696)/693)/(416/(-2379)).
61/2
Calculate (-2310)/196350*(-7)/((-14)/(-6)).
3/85
Calculate ((-2432)/(-20))/(-8)*100/5*(-7)/56.
38
What is the value of (-823)/9876*(448/52)/(-7)?
4/39
What is (3/((-585)/10))/(((-8)/5)/((-516)/(-430)))?
1/26
945/63*(-290)/(-174)
25
Calculate ((-4)/(-66)*-6)/((312/(-36))/(-13)).
-6/11
What is the value of 28*26/4680*-18?
-14/5
What is the value of (648/(-792))/(((-2)/6)/(47/141))?
9/11
(35/(-90)*-21)/((250/(-625))/(8/10))
-49/3
What is the value of ((-6)/2*1)/((2666/62)/(-43))?
3
Calculate 85/10*120/45*(-162)/72.
-51
Evaluate (620/(-70)*2373/226)/(-3).
31
Calculate 4/208*((-120)/160)/((-33)/88).
1/26
Evaluate -15*3362/2460*-2.
41
What is 84/882*119*(-3)/6?
-17/3
What is (-3*(-410)/45)/((-20)/30)?
-41
Calculate (128/16)/(88/(-11))*1001/(-13).
77
What is the value of ((-20)/16*(-66)/(-165))/(17/(-102))?
3
What is the value of -1*(39/(-198))/((21/28)/((-432)/96))?
-13/11
((-13)/234)/(((196/14)/98)/(-3))
7/6
What is ((-19159)/3927)/(-161)*3333?
101
Calculate (186/(-217)*(-28)/(-54))/(102/(-4131)).
18
What is the value of 2/(-4)*(-1)/((-95)/342)*-5*11?
99
Evaluate ((-24)/(-330)*5)/((-138)/(-253))*-6.
-4
Evaluate ((-30)/16)/(12060/(-752544)).
117
What is the value of 6/(-45)*((84/(-14))/2)/((-5)/5)?
-2/5
((-40)/14)/((108108/882)/39)
-10/11
(-20)/28*1575/(-225)
5
Calculate (((-13248)/(-644))/(-36))/(4/(-245)).
35
What is the value of ((-2)/(-177))/((-555)/(1283715/(-514)))?
3/59
Calculate 28*((-250)/(-100))/(((-196)/(-16))/(-7)).
-40
Calculate ((56/(-784))/(6/(-105)))/((-11)/(-352)*740).
2/37
What is ((-1)/((-3)/(-24)*2))/((-21)/((-945)/9))?
-20
(-12)/66*(-108)/72
3/11
Calculate 43/19436*(-1)/(5/40).
-2/113
Evaluate (156/(-68))/((-225)/3825).
39
Calculate (-6)/(-5)*(-115)/690*-5*(-7)/17.
-7/17
Evaluate (-1024)/(-12)*2031/5416.
32
Evaluate 15/6*15560/(-3228700).
-1/83
What is (-14)/2*16/((-440)/(-55))?
-14
What is 5/2*13/26*27232/(-1840)?
-37/2
What is ((-2970)/(-8100)*3/22)/((-6)/(-5))?
1/24
What is the value of (181/905)/((-7)/(-65*35))?
65
What is (-20)/(-130)*12/((-648)/(-234))?
2/3
What is the value of ((-1)/((-1)/(-1)))/((-134606)/7276)?
2/37
(((-2532)/(-7385))/((-24)/(-20)))/((-80)/(-42))
3/20
What is ((-10824)/440)/((-7052)/25800)?
90
What is ((-2474)/(-21029))/((-94)/(-17))?
1/47
Evaluate (-364*(1296/(-252))/36)/1.
52
What is the value of 243/18*700/(-900)*60/14?
-45
((-308)/(-56))/(((-3825)/810)/85)
-99
What is (6/(-44))/((-318270)/(-84872))?
-2/55
Calculate (-8)/(-14)*(-7)/(63/(7749/82)).
-6
What is 7462/(-1108107)*(-88)/(-4)?
-4/27
Evaluate (-4)/(-30)*(-525)/140*16/(-18).
4/9
What is the value of (2384/(-3278))/(12/(-22))*42/(-40)?
-7/5
Evaluate (47/(-4))/(2086/8344).
-47
(-30)/((-237600)/(-80))*33
-1/3
What is the value of 860/(-2150)*(-44)/(-2)*-25*(-2)/20?
-22
Evaluate 6/5*(1029/78)/7*740/777.
28/13
Evaluate ((169065/(-68))/51)/((-50)/40).
39
Calculate -90*3*9/(-162)*(-182)/91.
-30
(93*(-6)/(-9))/(24/(228/(-19)))
-31
(6/(-4))/((281151/270)/(-267))
5/13
Calculate (-10368)/(-240)*75/(-60)
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-10738
Express (5*a - 2*a - 4*a)*(5 - 14 - 13)*(1 + 47 + 33)*(3 - 5 + 0)*(0 + 1 - 2) as g + z*a and give z.
3564
Express -3 + 45*t - 88*t - 5 + 836*t + 1763*t in the form a*t + f and give f.
-8
Rearrange -2*q**3 - 3*q**2 - 19*q + 1 - 20*q**4 - 3*q - 27*q**4 + 57*q**4 - 8*q**4 to the form y*q + h*q**3 + z*q**2 + t + c*q**4 and give t.
1
Rearrange 6 + 874*v - 1 - 5 + 1029*v to the form q + w*v and give w.
1903
Rearrange (23*i + 0*i - 14*i)*(-4 - 1 + 6)*(-33 - 4 + 9)*(1 - 3 + 3) to the form b*i + d and give b.
-252
Express 2775*i - 667*i + 348*i + 1752*i in the form y*i + a and give y.
4208
Express -14 - 11*o - 15 + 10 - 14 as s + t*o and give t.
-11
Rearrange -853*a**3 + 1 + 422*a**3 + 2 + 40*a**2 + 430*a**3 to s*a**3 + m + r*a + o*a**2 and give s.
-1
Express -2393 + 7169 + 7617*h - 2387 - 2389 as j + n*h and give n.
7617
Rearrange -8310*z - 13 - 14 + 8562*z - 5*z + 2 - 2 + (3 - 1 - 3)*(-3*z + z + 0*z) to the form r*z + y and give r.
249
Rearrange 178*t - 74 + 0*t**2 + 30*t + t**2 + 136 - 48 to c + l*t + g*t**2 and give l.
208
Express (2*z**2 + 2*z**2 - 3*z**2)*(0*z**2 - z**2 - z**2) + 174*z**4 - 79*z**4 - 89*z**4 + 230*z**3 in the form a + u*z**4 + b*z**3 + x*z**2 + r*z and give u.
4
Express 274 + 9054*j + 291 - 565 in the form d + k*j and give k.
9054
Express 831 - 59*c**2 + 58*c**2 - 37*c**3 + 18*c - 830 + 3*c**3 in the form g*c**3 + q*c + k*c**2 + s and give g.
-34
Express -13 - 8 - 14 - 6939*u - 11 + 45 in the form p*u + r and give r.
-1
Rearrange 93*d**2 - 275*d**2 - 33*d**3 - 5*d + 183*d**2 + 18*d + d**4 to z*d**4 + l*d + j*d**2 + w + v*d**3 and give l.
13
Express 52*r + 7*r**2 + 18*r - 3*r**2 - 148*r**3 + 152*r**3 - 3*r**2 as u + n*r**3 + d*r**2 + f*r and give f.
70
Rearrange 2*v**4 - 2*v - 11203*v**3 + 2 + 11206*v**3 + 3*v**4 - 2*v**2 to the form o*v + t*v**4 + m*v**3 + u*v**2 + d and give d.
2
Express 3*o**2 + 18*o + 0*o**2 + 61*o**3 + 6*o - 28 - 8*o + 26 in the form k*o**3 + b*o + x*o**2 + q and give b.
16
Express 11*n - 39*n - 5*n + 2 + 73*n**2 - 177*n - 74*n**2 in the form p + q*n + o*n**2 and give q.
-210
Express 73 + 2*i**2 + 31*i - 122*i + 28*i + 31*i + 31*i as g*i**2 + q + l*i and give q.
73
Express (0 - 1 + 4)*((0 + 2 - 38)*(-7 - 2*i + 7) - 179 + 179 - 11*i + 0*i - 3*i + 2*i) as n*i + t and give t.
0
Express 70*o + 58*o - 20 + 9 + 15 as w*o + i and give i.
4
Rearrange (-5 + 2 + 0)*(-4 + 7 + 11 + (-1 + 1 + 2)*(0 + 0 + 2) - 1 - 1 + 1 - 2 - 4 + 4)*(892 - 7*w - 892) to t + n*w and give n.
315
Express -24*o**4 + 73*o**4 + 2*o**3 + 2 - 3*o**2 + 158*o**4 - o - 2 as l*o**4 + q*o**3 + i*o**2 + v + x*o and give l.
207
Express 2 + 0 - 170*m + 203*m - 2 in the form h*m + o and give h.
33
Rearrange -1483*o + 24*o**2 + 26 + 496*o + 492*o + 492*o to i + b*o**2 + q*o and give b.
24
Express -5083*x - 21248 + 21248 - 4568*x + 1371*x in the form i + b*x and give b.
-8280
Rearrange 70882*f - 70882*f + 3019*f**2 + 163 - 163 to the form v + k*f + l*f**2 and give l.
3019
Rearrange 260*x**2 + 253*x**2 + 0*x + x + 50*x**3 - 511*x**2 to the form r*x**2 + a + q*x + c*x**3 and give q.
1
Express 109 - 6*z**2 - 109 - z**3 + (876*z - 1687*z + 1269*z + 2)*(0*z**2 - 2*z**2 + 4*z**2) as r*z + u*z**2 + w*z**3 + p and give w.
915
Express -5*v - 2*v**2 + 71*v**4 - 6*v**3 - 193*v**4 + 64*v**4 + 9*v + 55*v**4 as x*v + l + d*v**4 + n*v**2 + f*v**3 and give d.
-3
Rearrange (19931*c - 40773*c + 18006*c)*(2*c - c - 4*c) - c + c**2 + c to s*c**2 + h*c + p and give s.
8509
Express -18 + 10 - 17 - 17 + 58*k**2 + 46 in the form q*k + w*k**2 + l and give l.
4
Express -191*q**3 + 39 + 252 - 294 + (-q**2 + 2*q**2 + 0*q**2)*(-5*q + 4*q + 0*q) as c + p*q**3 + h*q + l*q**2 and give c.
-3
Rearrange 2*q**4 + 4*q - 19 + 0 - 7 + 4*q**2 - 4*q**4 - 2*q**2 to the form t*q**2 + p + y*q**3 + w*q**4 + m*q and give t.
2
Rearrange 35*s**4 + 8*s**4 - 388*s**3 - 2*s**2 + 387*s**3 to n*s + y*s**4 + b*s**3 + a + u*s**2 and give y.
43
Rearrange -367*x - 240*x - 499*x - x - 2 + 2 + (0 + 0 - 3*x)*(3 - 3 - 1) to b + g*x and give g.
-1104
Rearrange (4*k**3 - 85*k**3 + 8*k**3)*(1 + 2 + 0) - 7*k + 7*k - 3*k**3 to the form w + a*k + h*k**3 + c*k**2 and give h.
-222
Rearrange 125*x**2 - 211303170 + 166*x + 211303170 to the form d*x**2 + r*x + n and give r.
166
Express -29*x**3 - 17*x**3 - 24*x**3 + x**4 + 81*x**3 - x + 0*x**4 - 7*x**2 as p*x**4 + c*x**2 + f*x + m + i*x**3 and give c.
-7
Express -1642*z**2 + 545*z**2 + 75*z + 543*z**2 + 13*z + 550*z**2 in the form i + x*z + b*z**2 and give b.
-4
Express 59 - 21 - 6 + 1168*n - 36 as a + b*n and give a.
-4
Rearrange -2*d**2 - 6*d + 19 + 3*d - 12*d**4 - 29 + 15 - 27*d**4 to the form l*d**4 + r*d + p + c*d**3 + a*d**2 and give l.
-39
Rearrange -5*y**3 - 361864*y**2 + 2 + 361864*y**2 - 2*y to the form i*y**2 + o*y**3 + n + h*y and give o.
-5
Express 3 + 3*r - 2 - 11 + 26*r + 0 in the form u*r + k and give u.
29
Rearrange 45*y - 14 + y**2 + 29*y - 97*y + 42 to o*y**2 + n + m*y and give o.
1
Rearrange (-47549 + 35794 - 43742 - 79094)*(-z + z - 2*z) to t*z + n and give t.
269182
Rearrange -1 - 47*x**3 - 34*x**3 + 11 + 2*x + 121*x**3 - 43*x**3 to the form j + a*x**2 + t*x + h*x**3 and give t.
2
Rearrange p**2 + 147*p**3 + 207*p**3 - 9*p**2 + 5*p + 9*p**2 - 2*p to s*p + o*p**2 + j + x*p**3 and give s.
3
Express -76*x + x - 27*x - 3*x + 7 - 7 + (-x - 3 + 3)*(-1 + 0 + 3) in the form f*x + b and give f.
-107
Express 1205*i**2 - 69*i - 1204*i**2 - 32*i - 29*i in the form b*i**2 + m + r*i and give b.
1
Rearrange (-406 + 247 + 226)*(-2*b - 5*b + 5*b) - 2*b - 3*b + 4*b - 7*b + 17*b + 0*b + 20*b to the form d*b + a and give d.
-105
Rearrange -2*d + 2*d**3 + 14 - 10 + 2*d**4 + 20 - 2 - 2*d**2 to the form x*d**2 + y + n*d + j*d**4 + f*d**3 and give j.
2
Rearrange 2013182 - 10795*w**2 - 2013182 to d*w**2 + f*w + u and give d.
-10795
Rearrange 2*n - 2*n + 2*n + 3*n - 2*n - 2*n + (-2 + 2 + 2*n)*(-1 + 5 - 5) - 16*n - 4358 + 1889 + 2022 to y*n + c and give c.
-447
Express -15 - 5 - 21 + 715*m**3 - 24*m + 23*m - 736*m**3 in the form n*m + l*m**3 + i + f*m**2 and give n.
-1
Express (-41*l - 12*l**2 + 41*l)*(-181 - 7*l + 181 - 2*l + 3*l - 3*l + 0*l - l + 3*l + (l + 4*l - 3*l)*(3 - 1 - 4)) as j*l + n + m*l**2 + h*l**3 and give h.
132
Express -123*r - 183*r**2 + 5 + 184*r**2 - 14 in the form v*r**2 + j + d*r and give j.
-9
Rearrange 61*u + 79 - 31*u - 43 - 29 + 80*u to the form d*u + c and give c.
7
Rearrange -1 - 6*h - 769*h**4 - 127*h**2 - 115*h**2 + 352*h**2 - 112*h**2 + h**3 to w*h**2 + d*h**4 + b*h + m*h**3 + i and give m.
1
Rearrange 56*g**3 + 62*g**4 - 56*g**3 + (-50*g + 43*g + 102*g)*(-4*g**3 - g**3 + 3*g**3) + g**4 + g**3 - g**3 to b*g**4 + t*g + m*g**3 + r + j*g**2 and give b.
-127
Express (0*o + 2*o + 0*o)*(-1241 - 2543 - 1356 + 443) in the form c*o + s and give c.
-9394
Rearrange (6581*r - 1071*r + 1454*r)*(-4 + 1 + 5) to x*r + n and give x.
13928
Express -1525*y - 1695*y**2 + 462*y**2 + 3047*y - 1520*y as m + q*y + s*y**2 and give m.
0
Express (-37 + 15*q + 37)*(-1 + 4 + 0)*(-86 + 83 + 64) as x*q + k and give x.
2745
Express (1 - 1 - 2*y)*(102743*y - 14281*y**3 + 102741*y - 205484*y) in the form i*y + q*y**3 + s*y**2 + f*y**4 + g and give f.
28562
Express 282*b**4 - 3*b + 255*b**4 + 281*b**4 + 14*b**3 - 2 + 4*b**2 - 819*b**4 in the form q*b**4 + z*b**3 + f*b + w*b**2 + k and give z.
14
Express (74 - 6 - 5 + (-4 + 1 + 1)*(-5 + 2 + 1))*(-25*a - 5*a - 14 + 16) as z*a + o and give o.
134
Rearrange -173010*n**2 - 194*n**4 + 78*n**4 - 4*n**3 + 173011*n**2 to the form t*n + q*n**2 + s + l*n**4 + v*n**3 and give l.
-116
Express (-11 + 8 - 21)*(0*z + 0*z - z) + 10*z - 7*z - 6*z in the form y + i*z and give i.
21
Express (-5 + 5 - 3*k)*(2*k - 5*k + k + (2 + 3 - 3)*(k - 3*k + k) - 2 + 2*k + 2 + 0 + 8*k + 0 - 7*k - 1 - k + 17*k) in the form j*k + f + t*k**2 and give f.
0
Rearrange -864 + 0*u**3 + u**3 - 3220 - 1563 - 243 to the form v*u + z*u**3 + j*u**2 + y and give z.
1
Rearrange 16*w**2 + w**2 + 2*w + 10*w**2 - 15*w**2 + 1 to the form x*w**2 + c + y*w and give c.
1
Rearrange 144*p + 123*p + 62 - 274*p to n + c*p and give n.
62
Rearrange (-5 - 4 + 4)*(3*z - z - z) + 481*z + 6775 - 13549 + 6771 to the form y*z + j and give y.
476
Rearrange 29*g**2 + 28*g**2 - 849*g**3 - 1 + 44*g - 45*g - 56*g**2 - 2 to s*g**3 + x*g + i + t*g**2 and give t.
1
Express (-3 + 5*d + 3)*(41 + 149 -
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose c*x - 678 = -x. Is x a composite number?
False
Let z(m) be the first derivative of 38*m**3/3 - 7*m**2/2 - 7*m - 7. Let i(q) be the first derivative of z(q). Is i(6) a composite number?
False
Suppose -k - 5*y + 3*y + 8852 = 0, -5*k + 44275 = 5*y. Is 15/9 + -1 + k/6 a prime number?
False
Let h be (-1807)/65 + (-18)/(-10) + -1. Is -3 - 87/h - (-28641)/27 composite?
False
Suppose 0 = 4*k + 11056 - 28364. Is k a prime number?
True
Let p = 1156 + -1908. Let c = p + 1189. Is c a composite number?
True
Let q(m) = m**3 - 11*m**2 - m + 14. Let g be q(11). Suppose g*n + 3*u - 24 = 0, 2*n - 1 = -u + 10. Suppose 0*r + 483 = n*r. Is r a composite number?
True
Let j(s) = -7*s**3 - 5*s**2 - 7*s - 5. Let n(y) = 3*y - 8. Let q be n(4). Suppose 0*g + 3*z - 22 = 4*g, q*z = -4*g - 8. Is j(g) a prime number?
False
Let c be 15/(-9)*3 - -2. Let d(s) be the second derivative of -s**5/5 - s**4/3 - s**3/2 + 2*s**2 - s. Is d(c) prime?
False
Let o(c) = -c + 27. Let t be o(22). Suppose a + 23 + 134 = r, -664 = -4*r - t*a. Is r prime?
False
Let s be 194/(2 + (-12)/9). Suppose 55 = -4*r + s. Suppose -3*n + 2*n = -r. Is n prime?
True
Suppose -m - 3 = 2*m. Let t(d) = -133*d**3 + 2*d + 1. Let q be t(m). Let w = 275 - q. Is w a prime number?
False
Let k be (-922 + 2)/((-5)/10). Let v = k + -2766. Is v/(-10) + 2/5 prime?
False
Suppose -5*r + 3*p + p = -80563, -6 = 3*p. Is r a composite number?
False
Suppose 4*v + 47*w - 48*w = 91841, 0 = 2*v + w - 45925. Is v a prime number?
True
Is (-24 + 4)/((-7)/37065) + -1 prime?
True
Let k(x) = 213*x**2 - 110. Is k(11) composite?
True
Let x(u) be the second derivative of 7*u**4/4 - 4*u**3 - 5*u**2/2 - 17*u. Is x(-6) a composite number?
True
Is 23596 - (-6)/(-3) - (-55)/11 prime?
True
Is 2*(158669/14 + 1) prime?
True
Let g(r) be the second derivative of 6*r**3 + 7*r**2/2 + 45*r. Is g(6) a composite number?
False
Let t(v) = 2*v**3 - 4*v**2 + 3*v - 1. Let j be t(2). Suppose 2*o - 6 = 0, 3*y = 8*y + j*o - 645. Let b = -15 + y. Is b a composite number?
True
Let d = 50803 - 22116. Is d a composite number?
False
Let f(z) = 364*z**2 - 105*z + 683. Is f(6) a composite number?
True
Let h(g) = -g**3 - 5*g**2 + 6*g - 7. Let a be h(-7). Suppose 0 = -s + a + 311. Suppose 3*o + r - 2122 = 0, -r - s = 4*o - 3189. Is o a prime number?
False
Let l(d) = -d**2 - 3*d - 6. Suppose 4*s + 5*v - 13 = 0, -5*s = -0*s - v + 20. Let j be l(s). Let n(w) = -52*w - 13. Is n(j) a composite number?
True
Let w be ((-14)/70)/((-2)/20). Suppose 0 = w*a - 961 - 629. Suppose -2*m - 3*m + a = 0. Is m composite?
True
Let a be (5 + (-2)/(-2))*(-2135)/14. Let o = 182 - a. Is o composite?
False
Let y = -14647 - -21886. Suppose 0 = 18*m - 15*m - y. Is m a prime number?
False
Let l(p) = p + 9. Let d be l(-9). Suppose 6*w - 8*w + 1814 = d. Is w composite?
False
Suppose 2*b + 3*b - 2*u = 45, -5*b - 2*u + 65 = 0. Let k(g) = 7*g + 8. Is k(b) prime?
False
Suppose 5*c - 525 = -5*u, 3*c - 4*u = 472 - 122. Suppose -c = -r - r. Suppose 3*b + r = 4*b. Is b composite?
True
Suppose m - 8 = 6. Suppose -d + 5*y - 31 = -4*d, -3*d = -4*y + m. Suppose b - 48 = -d. Is b a prime number?
False
Suppose -z + 3*z = 904. Suppose -s - z = -5*v, 4*v - s = -4*s + 354. Let y = 37 + v. Is y a composite number?
False
Let l(y) = -39 + 185*y - 21 + 16. Is l(11) composite?
True
Let s be (6 - 5)/(1/(-131)). Let d = 352 + s. Is d prime?
False
Let j(m) be the third derivative of -m**6/40 - 4*m**5/15 + m**4/3 - 5*m**3/6 - 19*m**2. Is j(-8) a composite number?
False
Let w be 8958/(-36) + 2/(-12). Let t = w + 51. Let q = 357 + t. Is q prime?
False
Suppose 2*t + 2 = 10, -28 = -5*b - 2*t. Suppose -3*p + b + 2 = 0, 1199 = g + 4*p. Is g prime?
False
Suppose 3*r + 2*z + 2 = -0*r, -r - 2*z = -2. Let b be (24/32)/(r/(-8)). Suppose 2*x - 5*m = 513, -3*m = b*x - 360 - 399. Is x a prime number?
False
Let g = -2405 + -3841. Let u be g/(-10) + (-33)/55. Let i = u - 410. Is i prime?
False
Let h be (30/50)/(-2 - (-22)/10). Is 1259*1*(4 - h) a prime number?
True
Let h(v) be the second derivative of 3*v**5/10 - v**4/4 + 7*v**3/6 + 11*v**2/2 - 21*v. Is h(5) prime?
False
Let q(r) = -3*r. Let d be q(-3). Suppose -4*n = 3 + d, 5*n = 4*l + 2057. Is l*(-2 - (-9)/6) prime?
False
Let y = -27 + 40. Let j(g) = g**2 + 16*g + 2. Let a be j(y). Suppose -c + 0*c = -a. Is c a prime number?
True
Suppose -4*n + 11 = 27. Let y = 5 + n. Is ((105 + y)/2)/1 a composite number?
False
Let b be (-9)/(6/(-2)) + 1020 + 3. Suppose -4*k + b = 2*j, -2*j - 5 = -3*j. Is k prime?
False
Is (-17 + (-13000)/(-6))/(1/15) a prime number?
False
Let x(j) = -2*j**2 - 20*j + 2. Let c be x(-10). Suppose 6*r - c*r = 5596. Is r a prime number?
True
Suppose 2*c - 4*p = 6486, -4*c + 0*p + 13012 = 2*p. Is c a composite number?
False
Suppose q = -4*f + 8, 5*q + 2*f - 72 = 40. Suppose 0 = 5*s - q - 6. Let v(w) = w**3 + 7*w**2 - 4*w + 3. Is v(s) a prime number?
False
Let a(i) = -6*i - 23. Is a(-15) a prime number?
True
Let g(p) = p**3 + 3*p**2 + 2*p + 3. Let w be g(-2). Suppose 0 = b + 2*k - w - 13, 4*b + 4*k - 56 = 0. Is 4*3/b - -216 a composite number?
True
Suppose 4*a - 3091 = 5*l + 5*a, 0 = -3*l - a - 1853. Is l*17/(-4) + 11/44 prime?
False
Suppose -2*l + 238 = 2*n, -4*n + 240 = -3*l + 5*l. Let b = -41 + l. Is b a composite number?
True
Suppose -27*u = -26*u - 139. Is u composite?
False
Suppose -3*x + 21 = 3. Let f(l) = -l**3 + 12*l**2 + 7. Is f(x) prime?
True
Let m(w) = -2*w**2 - 5*w + 1. Let u(n) = n**2 + 2*n. Let k(l) = -4*m(l) - 7*u(l). Let g be k(-7). Suppose 0 = -o - g*r - 0*r + 40, -o + 80 = -5*r. Is o prime?
False
Let i = -125 - -141. Suppose i*g - 29079 + 7559 = 0. Is g a prime number?
False
Let t(f) = 1016*f + 33. Is t(1) a composite number?
False
Is ((-56)/7)/8 + 4664 composite?
False
Let c(f) = 0*f - 2 - 5 - 3*f - 2*f - 8*f**2. Let b be c(6). Let r = -72 - b. Is r a prime number?
False
Let s(w) = -9*w**2 - 17 + 11*w**3 - 22*w**3 + 10*w**3 + 6*w. Is s(-11) composite?
True
Let j(c) = 13*c**2 + 258*c + 105. Is j(-74) composite?
False
Let o(x) be the second derivative of 5*x - 7/2*x**2 + 1/6*x**4 + 0 - 5/3*x**3. Is o(-10) a composite number?
False
Let u(y) = 57*y**2 + 5*y + 2. Let x be u(5). Suppose -5*p - 3*a + 3827 - 173 = 0, 2*a + x = 2*p. Let n = p + -464. Is n composite?
True
Let s be (7626/4 - 1) + 11/(-22). Suppose -9*a + 12*a - s = 0. Is a a prime number?
False
Suppose 0 = -15*s + 34743 + 80922. Is s composite?
True
Let a = 26 + -28. Is (13 - 10) + (-2)/a a prime number?
False
Let l be 3/15 + (-1)/5. Suppose -19630 + 1203 = -3*q - 2*y, l = -2*q - 3*y + 12283. Is q prime?
True
Let a = -892 + 149. Let c = 1474 + a. Is c composite?
True
Let a be ((-3)/(-5))/((-4)/(-180)). Suppose 5*y - a = -3*t + 7*t, t = -y. Suppose -313 = 5*s - y*p - 1463, 2*p - 10 = 0. Is s a composite number?
False
Let h be 0 + -6*(-15)/(-10). Let q = h - -28. Is q composite?
False
Let u = 338 + -45. Is u a prime number?
True
Suppose -j = -3*v - 743, 2*j + 6*v - 3*v = 1531. Suppose 15*g - 13*g - j = 0. Is g a prime number?
True
Let i = -2207 - -4088. Let y be i/(-76)*(-16)/6. Let r = 145 - y. Is r a prime number?
True
Let v(k) = 82*k**2 + 10*k - 1. Is v(5) composite?
False
Let h be 18/((2/10)/((-1)/(-5))). Is ((-14)/4)/((33/h)/(-11)) a prime number?
False
Let v = -8261 + 5218. Let i = v - -4380. Is i composite?
True
Let x = 8 + -4. Let a(s) = -11*s + s**3 + 3 + x*s + 4*s**2 + 3*s. Is a(-4) a composite number?
False
Let g be 24992/8 + (-1)/1. Suppose -5*v + g + 372 = 0. Is v a composite number?
True
Let q(a) = -229*a - 13. Is q(-3) composite?
True
Let g(m) = 432*m**3 - m**2 + m - 1. Let c = -23 + 22. Let b(y) = y + 2. Let l be b(c). Is g(l) prime?
True
Suppose 5*l - 3*m - 4790 = -0*m, -m - 4790 = -5*l. Is l a prime number?
False
Let d(k) = k**2 - 15*k + 55. Is d(-39) a composite number?
False
Let u(p) = 3*p**3 - p**2. Let o be u(1). Suppose o*m - 1529 = 645. Is m prime?
True
Suppose -9*q + 10*q - 4 = 0. Let a(u) = 17*u**3 + 7*u**2 - 5*u + 1. Is a(q) a prime number?
True
Let y(j) = 136*j**2 - j - 1. Is y(1) a composite number?
True
Let c(g) = -3*g**2 + 2*g**2 - 6*g + 6*g**2 - g**3. Let u be c(4). Let h(r) = r**2 - 7*r - 11. Is h(u) a composite number?
False
Suppose 15602 = 5*z + 2337. Let y = -450 + z. Is y a composite number?
False
Let k = -6 - -6. Suppose 6*c - c - 30 = k. Is -7*1/((-7)/c
|
{
"pile_set_name": "DM Mathematics"
}
|
?
3
What is the billions digit of 1056043726?
1
What is the millions digit of 32705261?
2
What is the thousands digit of 16245595?
5
What is the hundreds digit of 78681958?
9
What is the hundreds digit of 15080534?
5
What is the hundred thousands digit of 86733930?
7
What is the hundred millions digit of 379480878?
3
What is the units digit of 92274529?
9
What is the millions digit of 236405750?
6
What is the thousands digit of 3524958950?
8
What is the ten thousands digit of 3671673187?
7
What is the tens digit of 269656323?
2
What is the millions digit of 1405959157?
5
What is the hundreds digit of 174477357?
3
What is the millions digit of 1891786957?
1
What is the millions digit of 171373773?
1
What is the ten thousands digit of 21055998?
5
What is the ten thousands digit of 17321025?
2
What is the tens digit of 334359750?
5
What is the hundred thousands digit of 1152969240?
9
What is the millions digit of 576406787?
6
What is the millions digit of 12931587?
2
What is the tens digit of 334964805?
0
What is the ten thousands digit of 86682959?
8
What is the units digit of 324341748?
8
What is the ten thousands digit of 3280090265?
9
What is the ten thousands digit of 36809218?
0
What is the hundred thousands digit of 327571172?
5
What is the units digit of 1706045339?
9
What is the ten thousands digit of 43694573?
9
What is the tens digit of 126334044?
4
What is the ten millions digit of 29438306?
2
What is the hundred millions digit of 1656067371?
6
What is the hundreds digit of 12415492?
4
What is the thousands digit of 225343336?
3
What is the hundred millions digit of 163659401?
1
What is the hundred thousands digit of 487770822?
7
What is the ten thousands digit of 6815659887?
5
What is the thousands digit of 196350258?
0
What is the ten thousands digit of 41137735?
3
What is the ten millions digit of 86676334?
8
What is the hundreds digit of 642815733?
7
What is the ten millions digit of 47121849?
4
What is the units digit of 216115406?
6
What is the hundred thousands digit of 11254111?
2
What is the thousands digit of 3848272974?
2
What is the ten millions digit of 413065570?
1
What is the ten millions digit of 1083986636?
8
What is the thousands digit of 67447813?
7
What is the hundreds digit of 59942495?
4
What is the ten thousands digit of 758270279?
7
What is the ten thousands digit of 3739068?
3
What is the millions digit of 4109642117?
9
What is the billions digit of 2078978383?
2
What is the tens digit of 906340977?
7
What is the millions digit of 87891981?
7
What is the hundreds digit of 39580713?
7
What is the millions digit of 167090190?
7
What is the ten millions digit of 28514625?
2
What is the hundred millions digit of 396751969?
3
What is the millions digit of 37547138?
7
What is the units digit of 1565642429?
9
What is the millions digit of 141436210?
1
What is the millions digit of 283378233?
3
What is the ten thousands digit of 680161897?
6
What is the units digit of 125549133?
3
What is the hundred millions digit of 1554086966?
5
What is the millions digit of 8892655?
8
What is the ten millions digit of 232074881?
3
What is the ten thousands digit of 1082074092?
7
What is the hundreds digit of 15728763?
7
What is the hundreds digit of 8582513792?
7
What is the thousands digit of 12116578?
6
What is the thousands digit of 9665412?
5
What is the hundreds digit of 967888867?
8
What is the hundred millions digit of 393842524?
3
What is the ten thousands digit of 27722023?
2
What is the ten millions digit of 83925486?
8
What is the units digit of 1032412074?
4
What is the tens digit of 1370283529?
2
What is the hundred thousands digit of 19705190?
7
What is the ten thousands digit of 83183634?
8
What is the hundred thousands digit of 46639979?
6
What is the tens digit of 1703804837?
3
What is the ten millions digit of 3247397286?
4
What is the millions digit of 100904702?
0
What is the thousands digit of 7650775?
0
What is the ten millions digit of 109559147?
0
What is the thousands digit of 331534618?
4
What is the ten millions digit of 754413906?
5
What is the millions digit of 245400502?
5
What is the millions digit of 1370044353?
0
What is the units digit of 461068714?
4
What is the billions digit of 7456920646?
7
What is the ten millions digit of 520732983?
2
What is the hundred thousands digit of 306527076?
5
What is the millions digit of 25504383?
5
What is the thousands digit of 331015076?
5
What is the billions digit of 1572127250?
1
What is the hundreds digit of 1097625?
6
What is the hundred millions digit of 6262275523?
2
What is the hundred thousands digit of 81919263?
9
What is the ten thousands digit of 975102749?
0
What is the ten millions digit of 59391466?
5
What is the ten thousands digit of 109842105?
4
What is the billions digit of 2149246893?
2
What is the ten millions digit of 728348626?
2
What is the hundred thousands digit of 111196266?
1
What is the tens digit of 3227971363?
6
What is the hundreds digit of 59493719?
7
What is the units digit of 144300430?
0
What is the hundred thousands digit of 44696429?
6
What is the units digit of 186243893?
3
What is the hundreds digit of 443244192?
1
What is the hundred millions digit of 314518685?
3
What is the hundred millions digit of 202240243?
2
What is the hundreds digit of 1488522139?
1
What is the thousands digit of 1121682886?
2
What is the thousands digit of 6038691?
8
What is the ten millions digit of 335786764?
3
What is the hundred thousands digit of 952975774?
9
What is the hundred thousands digit of 19716201?
7
What is the thousands digit of 33251864?
1
What is the ten thousands digit of 91189269?
8
What is the billions digit of 9492837863?
9
What is the ten millions digit of 975756359?
7
What is the hundreds digit of 30216904?
9
What is the hundred millions digit of 1482199079?
4
What is the billions digit of 3145253185?
3
What is the tens digit of 27179125?
2
What is the thousands digit of 46057387?
7
What is the ten thousands digit of 86246531?
4
What is the tens digit of 1201615165?
6
What is the hundred millions digit of 1151229624?
1
What is the hundred millions digit of 1015932638?
0
What is the hundreds digit of 326211749?
7
What is the hundreds digit of 366930531?
5
What is the millions digit of 303168751?
3
What is the hundred millions digit of 774403662?
7
What is the units digit of 59757018?
8
What is the units digit of 46266056?
6
What is the millions digit of 4346774678?
6
What is the units digit of 26419978?
8
What is the tens digit of 205080421?
2
What is the ten millions digit of 214292529?
1
What is the ten thousands digit of 247014163?
1
What is the hundreds digit of 174653758?
7
What is the hundred thousands digit of 4860063?
8
What is the tens digit of 573299618?
1
What is the hundred thousands digit of 1335853425?
8
What is the tens digit of 67508049?
4
What is the units digit of 555923527?
7
What is the units digit of 100169784?
4
What is the hundreds digit of 2108812078?
0
What is the ten thousands digit of 305567046?
6
What is the hundreds digit of 23777790?
7
What is the thousands digit of 20163776?
3
What is the units digit of 107436849?
9
What is the millions digit of 41686788?
1
What is the thousands digit of 106452987?
2
What is the hundred thousands digit of 4157611596?
6
What is the hundreds digit of 878888619?
6
What is the thousands digit of 118935783?
5
What is the ten thousands digit of 10301971?
0
What is the hundred thousands digit of 3079527311?
5
What is the hundreds digit of 17526292?
2
What is the tens digit of 35381432?
3
What is the hundred thousands digit of 123372747?
3
What is the hundred thousands digit of 653019229?
0
What is the tens digit of 765543934?
3
What is the units digit of 44034823?
3
What is the hundred thousands digit of 843520959?
5
What is the units digit of 102878750?
0
What is the units digit of 361822940?
0
What is the units digit of 756047135?
5
What is the tens digit of 2239053525?
2
What is the hundreds digit of 1058348722?
7
What is the hundred millions digit of 4901965610?
9
What is the units digit of 190410120?
0
What is the hundred thousands digit of 64951172?
9
What is the hundred thousands digit of 60397868?
3
What is the ten millions digit of 110846140?
1
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
give l.
584
Rearrange 64*g**3 - 65*g**2 + 141*g**2 - 81*g**2 to the form c*g**2 + k*g + x*g**3 + a and give x.
64
Express (-3 + 3 - 2)*((5 - 2 + 6)*(2 + 1 - 1) + (-4 + 1 + 2)*(-1 + 3 - 3))*(1 + t**2 - 1) in the form n*t + j + z*t**2 and give z.
-38
Rearrange -11*a + 82*a - 2*a**2 - 212*a + 3*a**2 to x*a**2 + b + y*a and give y.
-141
Express 34 + l**2 - 3*l**3 + 3*l - 9 - 28 as v*l**3 + o*l + w + c*l**2 and give o.
3
Express -37*z - 35*z + 7975 - 7990 in the form a*z + m and give a.
-72
Rearrange 4101*k**3 - 8209*k**3 - 2 + 4106*k**3 + 13*k**2 + 5*k**4 to the form f + r*k**4 + d*k**3 + s*k + o*k**2 and give o.
13
Express -41*a - 208*a - 3 - 7*a + 1 as b*a + m and give b.
-256
Rearrange (-7*r + 13*r + r)*(-19*r**2 + 2102 - 2102) to c*r**3 + b*r + x*r**2 + v and give x.
0
Rearrange -13*m + 2 - 9*m + 31*m to w*m + h and give w.
9
Rearrange -12*j**3 + 512 - 263 - 253 + 3*j**3 to the form x*j**3 + w*j + k + s*j**2 and give k.
-4
Express 116*l + 36*l + 8*l + 42*l in the form q*l + o and give q.
202
Express (-6 + 3 + 2)*(0 - 2 + 0)*(-1 - 5 + 5)*(k - 4*k + 0*k) + 36*k - 13*k + 13*k as a*k + w and give a.
42
Express 211*a**2 - 5*a - 221*a**2 + 22*a in the form v*a**2 + p + g*a and give v.
-10
Express -32 - 4*f**4 + 30 + f - 2*f - 5*f**3 + 2*f**2 as b*f + z + s*f**2 + a*f**3 + y*f**4 and give a.
-5
Rearrange (-1 + 5 - 3)*(-9*g - 19*g - 20*g) + 23*g - 6*g + g to the form a*g + j and give a.
-30
Express -3 + 3173*a**2 + 1 - 3194*a**2 + 0 in the form w + d*a**2 + h*a and give d.
-21
Rearrange (2 + 0 - 3)*(2*u + 16*u + 35*u) + (5*u - 3*u - 3*u)*(4 - 1 - 1) to g + x*u and give g.
0
Express 187*r + 85*r - 43*r - 20*r as l*r + k and give l.
209
Rearrange ((3 - 3 - 3)*(12*b - 206 + 206) + 2*b + 2*b - 2*b)*(b**3 - b**3 + 2*b**3) to w + t*b**2 + u*b + v*b**4 + g*b**3 and give w.
0
Express (7*m - m + 0*m)*(21 - 26 + 12 - 5*m) in the form s + o*m**2 + x*m and give o.
-30
Express -38*w**3 - 11 + 4 + 13 - 4 as z*w**2 + f*w**3 + m + y*w and give m.
2
Express ((-1 + 1 + 1)*(0 + 3 - 1) + 2 + 1 + 2)*(0*m - 2*m + 3*m)*(-5 + 4 + 0 + (-1 + 4 - 1)*(4 - 2 + 0) - 4 - 1 + 3) as y + g*m and give y.
0
Express -g - 2*g**2 + 21*g**4 + 20*g**4 - g**3 - 9*g**4 as z*g + i*g**4 + k + u*g**3 + p*g**2 and give z.
-1
Express (-2*y + 7*y**2 + y - 16*y**2)*(-20*y**2 - 46*y**2 - 42*y**2) in the form f*y**2 + g + m*y + i*y**3 + z*y**4 and give i.
108
Rearrange -d**2 - 1455*d + 1308*d - d**2 to the form r + p*d + b*d**2 and give p.
-147
Rearrange (150 - 322 + 92)*(3 - 3 + 11*g**2) to q + s*g + t*g**2 and give t.
-880
Express -1 - 64*a + 4*a + 9*a + 52*a - 70*a**3 as w + m*a + o*a**3 + c*a**2 and give m.
1
Rearrange (n - n - 2*n + (-4 + 3 + 2)*(1 - 3*n - 1))*(-4 + 480*n + 4) to the form x + t*n + v*n**2 and give v.
-2400
Express 10*t**4 - 22*t**4 + 2*t**3 - t**2 + 4 - t + 11*t**4 - 3*t**4 in the form r + d*t**4 + l*t**3 + s*t + n*t**2 and give l.
2
Express -3*v**2 - 5*v + v**2 + 9*v + v**2 - 5 as q*v**2 + b*v + l and give q.
-1
Rearrange (-3 + 4 + 2)*(-6*l + 3*l + 2*l + (2 - 2 + 1)*(1 - 1 - l) + 141*l - 216 + 216) to the form n*l + d and give n.
417
Rearrange -15*b**3 - 70*b + 68*b - b**4 - 28*b**2 + 30*b**2 - 2 to i + z*b**2 + v*b + l*b**4 + d*b**3 and give v.
-2
Express 6 + 0 - y - 2*y**2 + 1 + 0*y in the form h*y + d + f*y**2 and give h.
-1
Rearrange -2*i**2 + 141*i - 124*i - 324*i - 3 + 2 - 2 to n + d*i**2 + s*i and give s.
-307
Rearrange -114*s**3 + 230*s**3 - 5*s**2 + 1 + 84*s - 117*s**3 + 5*s**2 to the form o*s**2 + k*s**3 + g*s + n and give k.
-1
Express 70*i + 2*i**2 - 72*i + 19*i**3 + 67*i**3 as d*i**2 + y*i**3 + r + v*i and give d.
2
Rearrange -3 - 228*v + 654*v + 1 to the form r*v + a and give a.
-2
Express -2*f + 6*f - 206*f + (3*f + 1 - 1)*(-1 - 2 + 2) as r + n*f and give n.
-205
Express 0 - c + 0 + c - 2 + 2 + (-2 + 1 + 2)*(-c - c + 3*c) - 68 + 68 - 25*c in the form z + m*c and give m.
-24
Express (-2*r + 2 - 2)*(-8*r - 6*r - 10*r - 7*r + 6*r) in the form u + b*r + x*r**2 and give x.
50
Express (-3*j**2 + 2*j**2 + 3*j**2)*(45 + 32 - 70 - 13*j) as i*j + g*j**2 + b + o*j**3 and give g.
14
Express (2 - 2 + n**2)*(-329 - 618 + 43 + 46) as f + t*n + g*n**2 and give f.
0
Express (0*a + 2*a - 3*a)*(2 - 3*a - 2) + 5599*a - 669*a**2 - 5599*a in the form y*a + f*a**2 + d and give f.
-666
Express 7*q + 2*q - 5*q + 5*q**2 - 2 - 2*q**3 in the form d*q**3 + g + r*q**2 + f*q and give d.
-2
Express (37*k**2 + 4*k**2 - 2*k**2)*(-4 - 2 + 1 + (0 + 0 + 2)*(-1 + 1 - 2)) as g + b*k**2 + m*k and give m.
0
Rearrange 340*g + 119*g + 84*g - 35*g to the form a*g + v and give a.
508
Express 3 + 4*t**2 - 172*t - 3 + 116*t in the form l + m*t + v*t**2 and give m.
-56
Rearrange (33 - 26*o - 33)*(-8*o**3 - 37 + 37 + 34*o**3) to b + v*o**4 + j*o + q*o**2 + r*o**3 and give v.
-676
Rearrange (1 + x**2 - 1)*(-x + 2*x - 3*x)*(-102*x - 148*x + 66*x) to t*x**4 + a*x + v + o*x**2 + p*x**3 and give t.
368
Express (-8*s + 3*s - 4*s)*(0 - 2*s + 0) + 2*s**2 + 4*s - 4*s - 4*s**2 - s**2 + s**2 + 33*s - 7*s**2 - 33*s as v*s + o*s**2 + h and give o.
9
Express (a - 4 + 4)*(-9*a + 109*a**2 + 69*a**2 - 209*a**2) as f + t*a + w*a**2 + x*a**3 and give x.
-31
Rearrange ((-u + 3*u - 4*u)*(-u + 0*u - u) + 2 + u**2 - 2)*(-6207 - 2316 + 2081) to the form z*u**2 + x*u + l and give x.
0
Rearrange (j - 2*j + 21 - 20)*(5 - 3 + 1)*(0*j - 4*j - j) to the form l*j + t*j**2 + a and give t.
15
Express -2*t - 346 - t + 0*t**2 + 346 - t**2 + 6*t**3 in the form b*t**2 + w*t**3 + a + h*t and give w.
6
Express (-3*w + 18 - 18)*(1262*w - 1262*w + 105*w**3) as z*w**4 + x*w**3 + t*w**2 + r + h*w and give z.
-315
Rearrange 4*n**2 - 12*n**4 + 8*n**3 + 3*n**3 - 5*n**3 + 2*n + 8*n**3 + 11*n**4 to r*n + s*n**4 + t*n**3 + j*n**2 + z and give j.
4
Express 2*k**3 - 19921 + 19922 + 11*k**4 + 2*k - 41*k**4 in the form j*k**3 + o*k**2 + r*k**4 + p*k + s and give r.
-30
Express -1 + 3 - 33*h - 125*h + 8*h + 21*h in the form n + g*h and give n.
2
Rearrange -307*y + 31*y - 163*y - 506*y to o + c*y and give o.
0
Rearrange 2*i**2 - 2*i + 2*i + (-3*i + 2*i + 3*i)*(-7*i + 71 - 71) + 2*i**2 + 0*i**2 - i**2 to v + a*i + f*i**2 and give f.
-11
Rearrange -13*p**2 - 19*p + 37 + 27 - 65 to m*p**2 + g*p + b and give m.
-13
Express (4 + 4 - 4)*(-z + 4 - 4 + (0 + 0 - 2*z)*(-1 + 0 - 1) + (-22 - 11*z + 22)*(3 - 3 - 3)) as g*z + k and give g.
144
Rearrange -3277*p + 1548*p + 1173*p to the form c + j*p and give j.
-556
Rearrange (-2*b**3 + 17*b + 4*b**3 - 12*b + (-5*b + 3*b + 3*b)*(b**2 + 1 - 1))*(-1 + b + 0 + 3) to h*b**3 + x*b + l*b**2 + r*b**4 + f and give x.
10
Express (3*d + d - 3*d)*(4*d + 0*d - 2*d) + 0*d**2 - d**2 + 0*d**2 - 2*d**2 - 11*d**2 + 3*d + 11*d in the form r*d + q + y*d**2 and give r.
14
Rearrange 2846*g + 41*g**2 - 2*g**3 - 1 + 97*g**2 - 2848*g to b*g**2 + v + q*g + p*g**3 and give p.
-2
Rearrange 26*z + 1 - 38*z + 3*z**3 + 10*z + z**2 to j*z + h*z**2 + n + x*z**3 and give j.
-2
Express (47*f + 10*f**2 - 47*f)*(0*f + 3*f - 5*f) + 3*f**2 + 1488 - 1485 - 5*f**2 + 3*f**3 as m*f**3 + i + w*f**2 + a*f and give i.
3
Express (228 + 13*o - 129 - 119)*(o**2 - 4*o**2 + 2*o**2) in the form x*o**3 + f + u*o + b*o**2 and give x.
-13
Rearrange -1261*a**2 - 21006 + 21006 to w*a**2 + p*a + q and give w.
-1261
Rearrange -1 + h**3 + 204*h - 31*h + 2*h**4 - 9*h to j + i*h**2 + d*h**4 + y*h**3 + b*h and give d.
2
Rearrange -13*h**2 + 0*h**3 - 15*h**2 + 5*h**3 to the form g*h + v*h**3 + m + a*h**2 and give g.
0
Express (0*d**3 + d**3 - 8*d**3)*(4*d - d + 6*d) in the form i*d**4 + x*d + u*d**2 + b + t*d**3 and give i.
-63
Express (-4 + 1 + 2)*(84*g**4 - 451*g**4 + 104*g**4 - 1) as z + w*g**3 + t*g**2 + d*g + u*g**4 and give u.
263
Rearrange n + 4*n - 7*n + (7 + 1 + 1)*(-6*n + 1 - 1) to w*n + g and give w.
-56
Express -20278 + 20278 + 237*f as m*f + l and give m.
237
Rearrange 1 - 4*p**3 + p**3 - 2621*p**4 + p**3 + 2622*p**4 - 12*p**2 to the form u + s*p**4 + l*p**2 + a*p + n*p**3 and give n.
-2
Express y**4 + 460*y**2 - 2*y**3 + 2 - 459*y**2 - 3*y**4 - 3*y in the form b*y**3 + v*y + k + x*y**2 + d*y**4 and give b.
-2
Express -m + 91071*m**3 - 2*m**4 - 91071*m**3 - 10 + 2*m**2 as c*m + o*m**3 + d*m**4 + l*m**2 + v and give d.
-2
Express (846 - 1835 + 631)*(0*z + 3*z + 0*z) in the form d + b*z and give b.
-1074
Rearrange -65*v - 30590 + 30590 to q*v + y and give q.
-65
Express -21745
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{
"pile_set_name": "DM Mathematics"
}
|
rivative of k(t). Factor v(h).
(h + 2)**2
Let g(p) be the first derivative of p**3/2 - 24*p**2 + 384*p - 52. Factor g(l).
3*(l - 16)**2/2
Let r(w) be the third derivative of w**6/30 + 2*w**5/15 + w**4/6 + 7*w**2. Factor r(g).
4*g*(g + 1)**2
Let c(s) = -15*s**4 - 7*s**3 + 9*s**2 + 13. Let m(d) = 7*d**4 + 3*d**3 - 4*d**2 - 6. Let w(p) = 6*c(p) + 13*m(p). Factor w(r).
r**2*(r - 2)*(r - 1)
Let a be 32/10 - (10 + -7). Factor 1/5*m**4 + 2/5*m**3 + 0*m**2 - 2/5*m - a.
(m - 1)*(m + 1)**3/5
Let x(m) = -2*m**4 + 6*m**2 + 4*m - 2. Let c(f) = 4*f**4 - 12*f**2 - 8*f + 5. Let r = 33 + -28. Let n(q) = r*x(q) + 2*c(q). Factor n(u).
-2*u*(u - 2)*(u + 1)**2
Let l = -53/3 + 18. Factor -1/3*v**3 + l*v**4 + 0 + 0*v**2 + 0*v.
v**3*(v - 1)/3
Let a be (5/45)/(3/9). Find g, given that 1/3*g**2 + 1/3*g**3 - 1/3 - a*g = 0.
-1, 1
Suppose 8 = -2*f + 2*z, -5*f - 5*z - 10 = -40. Factor 10*u**2 - 14*u - 1 + 6 - f.
2*(u - 1)*(5*u - 2)
Let h(j) = -24*j - 264. Let k be h(-11). Solve -2/5*s**3 - 2/5*s**2 + 2/5*s**4 + k + 2/5*s = 0.
-1, 0, 1
Factor 8/5*d**2 - 8/5 - 2/5*d + 2/5*d**3.
2*(d - 1)*(d + 1)*(d + 4)/5
Solve 3/5 + 3/10*y**3 + 11/5*y**2 + 5/2*y = 0 for y.
-6, -1, -1/3
Factor -2/15*z**3 - 2/15*z**2 + 2/15*z**4 + 2/15*z + 0.
2*z*(z - 1)**2*(z + 1)/15
Let o(v) be the first derivative of -v**8/420 - v**7/105 + v**5/15 + v**4/6 - 2*v**3 + 5. Let b(w) be the third derivative of o(w). What is k in b(k) = 0?
-1, 1
Let h(t) = -5*t**2 - 15*t - 14. Let q(a) = 5*a**2 + 15*a + 15. Let c(v) = 5*h(v) + 4*q(v). Factor c(j).
-5*(j + 1)*(j + 2)
Determine p, given that 10*p**3 - 31*p**2 + 19*p**2 + p + p = 0.
0, 1/5, 1
Suppose 0 = -2*d - 2*s + 3 + 1, -s + 6 = 3*d. Suppose d*h = 7*h. Factor 2/7*x - 2/7*x**3 - 2/7*x**4 + h + 2/7*x**2.
-2*x*(x - 1)*(x + 1)**2/7
Factor 4/5 - 1/5*i**2 - 3/5*i.
-(i - 1)*(i + 4)/5
Let i(d) be the third derivative of d**9/4536 + d**8/1260 + d**7/1260 - d**3/6 + 5*d**2. Let x(p) be the first derivative of i(p). What is o in x(o) = 0?
-1, 0
Let f(o) = -4*o**4 - 12*o**3 + o**2 + 15*o + 3. Let k(q) = 44*q**4 + 132*q**3 - 12*q**2 - 164*q - 32. Let y(v) = 32*f(v) + 3*k(v). What is u in y(u) = 0?
-3, -1, 0, 1
Let a(k) = -11*k**3 + 14*k**2 + 8*k + 8. Let f(h) = -4*h**3 + 5*h**2 + 3*h + 3. Suppose -4*v - 24 - 8 = 0. Let s(u) = v*f(u) + 3*a(u). Factor s(y).
-y**2*(y - 2)
Solve -1/2*j**2 - j - 1/2 = 0 for j.
-1
Let d(n) be the first derivative of -4*n**3/3 - 5*n**2 + 6*n + 39. Factor d(k).
-2*(k + 3)*(2*k - 1)
Let q(l) = -l + 9. Let d be q(5). Suppose -5 = -d*b + 3. Find h, given that h**2 + 3*h**3 - 1 - h**2 + h**b - 3*h = 0.
-1, -1/3, 1
Let n = -187/90 + 19/9. Let y(o) be the second derivative of 0 - 1/126*o**7 + 0*o**3 + 0*o**2 - 1/20*o**5 - 1/36*o**4 - o - n*o**6. Solve y(g) = 0.
-1, 0
Factor 17*x - 2*x**2 - x**3 + x**5 - 17*x + 2*x**4.
x**2*(x - 1)*(x + 1)*(x + 2)
Let f = 12 - 6. Let m(c) = -4*c**2 + 5*c + 9. Let u(h) = -h**2 + h + 2. Let s(v) = f*m(v) - 26*u(v). Factor s(o).
2*(o + 1)**2
Let k(p) = 2*p + 1 + 2*p**2 - 3 - 2. Let v be k(-3). Factor -18*n**3 - n + 10*n**2 - v*n**4 - n - 4*n**5 + 22*n**4.
-2*n*(n - 1)**3*(2*n - 1)
Let z = -1 - -4. Suppose -3*g - 3*l - z = 0, -3*l - 4 = -3*g - 1. Solve -25/2*m**5 + g*m - 45/2*m**4 - 2*m**2 + 0 - 12*m**3 = 0.
-1, -2/5, 0
Let c = 703/158 + 4/79. Let -5*q**2 - 2*q**3 - 5/2*q**5 + c*q + 6*q**4 - 1 = 0. What is q?
-1, 2/5, 1
Let p(z) be the second derivative of 3/40*z**5 + 0*z**2 - 1/30*z**6 - 1/12*z**3 + 0 + 3*z + 0*z**4. Factor p(r).
-r*(r - 1)**2*(2*r + 1)/2
Factor 46*p - 4*p**3 - p**3 - 20 - 46*p + 15*p**2.
-5*(p - 2)**2*(p + 1)
Let f be 10/4*(-12)/(-15). Let x(m) be the third derivative of -1/60*m**5 + 0 + 0*m**4 + 0*m**3 + 0*m + 2*m**f. Factor x(u).
-u**2
Let u be 24/12 - 2/1. Let p(x) be the third derivative of 2/9*x**3 + u - 1/90*x**5 + 0*x - 1/36*x**4 - x**2. Factor p(i).
-2*(i - 1)*(i + 2)/3
Let x be 2/(-20) - 42/(-70). Suppose -x - 1/2*g**2 - g = 0. What is g?
-1
Determine h so that 10 - 35*h + 0 - 18*h**3 + 53*h**3 - 10*h**2 = 0.
-1, 2/7, 1
Let x(q) = 7*q**2 - q - 2. Let d be x(-1). Factor 3*i**4 + i**2 + 2*i**2 - d*i**2.
3*i**2*(i - 1)*(i + 1)
Let g = -3 - -5. Determine h, given that 2 - h**2 - 3 + 0 + 2*h**g = 0.
-1, 1
Let c(j) = j**2 + 10*j - 10. Let v be c(-11). Suppose h - 3 = -v. What is y in 1/4*y + 1/4*y**h - 1/2 = 0?
-2, 1
Let j = -3 + 43. Suppose -3*o = -4*w + 14 - 6, j = 5*o + 4*w. Determine t, given that 0*t + 0 - 1/3*t**3 + 1/3*t**o + 0*t**2 = 0.
0, 1
Find t such that 0 - 3/5*t**2 - 3/5*t = 0.
-1, 0
Suppose -2*y - 4 = 3*t + 2*t, 5*y - 20 = -5*t. Let w = 11 - 8. Factor y + w*s + 5*s + 2*s**2 + 2*s - 2*s.
2*(s + 2)**2
Determine q so that 0*q**3 + 0 + 0*q**2 + 1/3*q**4 + 0*q - 1/3*q**5 = 0.
0, 1
Suppose 17 = 4*d - 3, -2*p = -5*d + 15. Factor a**2 + 2*a + p - a**3 - 5 - a**4 - a.
-a*(a - 1)*(a + 1)**2
Let h(j) be the second derivative of j**5/80 - j**4/12 + j**3/8 + 27*j. Suppose h(w) = 0. Calculate w.
0, 1, 3
Let v(z) be the second derivative of -1/15*z**6 + 0 + 1/10*z**5 + 1/3*z**4 + 0*z**3 + 2*z + 0*z**2. Determine m so that v(m) = 0.
-1, 0, 2
Determine o so that -2*o**2 - 14*o + 10*o - 12*o - 32 = 0.
-4
Suppose -8 = -5*t + 7. Let w(g) be the first derivative of 6*g**2 + 5*g**4 + 8*g**t + 6/5*g**5 - 1 + 2*g. Solve w(f) = 0 for f.
-1, -1/3
Let v(c) = c + 10. Let o be v(-7). Let -2*i**4 - 3*i + 2*i**2 + 2*i**o - i - 3*i + 5*i = 0. What is i?
-1, 0, 1
Let w = 113/321 - 2/107. Let n(g) be the second derivative of 4/9*g**4 - 3*g + 0 + w*g**2 + 7/60*g**5 + 11/18*g**3. Factor n(l).
(l + 1)**2*(7*l + 2)/3
Let l(z) be the second derivative of -2*z**7/63 + 14*z**6/45 - 7*z**5/15 - 23*z**4/9 + 16*z**3/9 + 32*z**2/3 - z. What is v in l(v) = 0?
-1, 1, 4
What is p in 2*p**3 - 2*p**2 - 46 + 46 = 0?
0, 1
Suppose -3*c - 21 = -r + c, 0 = -2*r + 5*c + 30. Suppose -r*t + 20 = -0*t. Solve -5*b**2 + t*b - 2*b**2 - 4*b**4 + 7*b**4 + b**3 - b**2 = 0 for b.
-2, 0, 2/3, 1
Let j(w) = w**3 + 3*w**2 - 1. Let m(d) = d**3 + 4*d**2 + d - 2. Suppose 0 = -t + 3*f + 3, -2*t + 0*f - 4 = -f. Let b(q) = t*m(q) + 4*j(q). Factor b(v).
(v - 1)**2*(v + 2)
Determine j, given that 6 + 18*j - 6*j**2 + 4*j - 37*j**3 + 12*j**4 + 3*j = 0.
-2/3, -1/4, 1, 3
Let a be (33/(-55))/(3/(-10)). Factor 8 - 15*d**3 + 3*d**3 + 3*d**a - 4*d**2 - 3*d**2 + 12*d - 4*d**4.
-4*(d - 1)*(d + 1)**2*(d + 2)
Let i(m) be the third derivative of m**8/224 + m**7/140 - 3*m**6/80 - m**5/40 + m**4/8 - 9*m**2. Solve i(p) = 0 for p.
-2, -1, 0, 1
Let o(b) = -b**4 - b**3 + b. Let q(p) = -214*p**4 + 496*p**3 - 212*p**2 - 10*p + 16. Let x(v) = -28*o(v) + 2*q(v). Solve x(t) = 0 for t.
-1/4, 2/5, 2
Let b(x) = 30*x**4 + 21*x**3 - 81*x**2 + 21*x + 9. Let s(q) = 3*q**4 + 2*q**3 - 8*q**2 + 2*q + 1. Let o(k) = 2*b(k) - 21*s(k). Solve o(n) = 0 for n.
-1, 1
Let x be 10/7*(-42)/(-54). Let o(g) be the first derivative of x*g**3 + 0*g - 7/3*g**4 + 2/3*g**2 + 4/3*g**6 - 2/3*g**5 - 1. Find t such that o(t) = 0.
-1, -1/4, 0, 2/3, 1
Let i(f) be the third derivative of f**5/15 + 8*f**4/3 + 128*f**3/3 - 15*f**2. Factor i(z).
4*(z + 8)**2
Suppose 2*i**2 - 2*i**2 - 20 + 5*i**2 + 25*i - 10 = 0. What is i?
-6, 1
Determine m so that 15*m**2 + 45/2*m + 10 + 5/2*m**3 = 0.
-4, -1
Let f(s) be the second derivative of -s**8/840 + s**7/210 - s**6/180 - s**3/3 + s. Let v(n) be the second derivative of f(n). Suppose v(m) = 0. What is m?
0, 1
Suppose -4*r + 2*r = -70. Let o be ((-20)/r)/((-18)/21). Suppose 2/3*g - 2*g**2 - 4/3*g**5 + 2*g**4 + 0 + o*g**3 = 0. Calculate g.
-1, 0, 1/2, 1
Let c = 403/7 - 57. Factor c*r**2 + 0*r**3 - 4/7*r**4 + 0 - 2/7*r**5 + 2/7*r.
-2*r*(r - 1)*(r + 1)**3/7
Let m = 169/2 - 84. Let -1/2*n**4 - m*n**3 + 1/2*n + 0 + 1/2*n**2 = 0. Calculate n.
-1, 0, 1
Let i(x) be the third derivative of x**5/120 - 5*x**4/48 + x**3/3 - 7*x**2. Factor i(z).
(z - 4)*(z - 1)/2
Suppose 4*d = 22 - 6. Let k be (-5)/(-10)*d/9. Solve 2/9*i**3 - k*i + 2/9*i**2 - 2/9 = 0 for i.
-1, 1
Let i = -24 + 29. Let t(d) be the third derivative of -1/24*d**4 - 1/180*d**i - 1/9*d**3 + 0*d + 3*d**2 + 0. Factor t(h).
-(h + 1)*(h + 2)/3
Let w be (-3)/5 + 14/(-10). Let q be ((-90)/w)/(6/4). Determine m so that -q*m**3 - 5*m**5 - 5*m**5 + 18*m**2 - 4*m + 4*m**5 + 22*m**4 = 0.
0, 2/3, 1
Let b(x) be the second derivative of 1/12*x**4 + 0 + 3*x + 1/6*x**3 + 0*x**2. Solve b(t) = 0 for t.
-1, 0
Let g(h) = -2*h**2 + 41*h - 18. Let f be g(
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{
"pile_set_name": "DM Mathematics"
}
|
git of 154649?
5
What is the hundreds digit of 137?
1
What is the units digit of 24174?
4
What is the units digit of 470?
0
What is the units digit of 38?
8
What is the hundreds digit of 2737?
7
What is the units digit of 2351?
1
What is the units digit of 17676?
6
What is the hundreds digit of 1247?
2
What is the units digit of 1442?
2
What is the units digit of 10718?
8
What is the hundreds digit of 3469?
4
What is the units digit of 24322?
2
What is the hundreds digit of 997?
9
What is the hundreds digit of 1085?
0
What is the hundreds digit of 1634?
6
What is the hundreds digit of 1871?
8
What is the tens digit of 4410?
1
What is the ten thousands digit of 35683?
3
What is the hundreds digit of 6471?
4
What is the units digit of 137779?
9
What is the hundreds digit of 1793?
7
What is the units digit of 42712?
2
What is the tens digit of 3697?
9
What is the tens digit of 2752?
5
What is the hundreds digit of 1705?
7
What is the units digit of 118?
8
What is the units digit of 615?
5
What is the ten thousands digit of 75448?
7
What is the hundreds digit of 55114?
1
What is the ten thousands digit of 23669?
2
What is the units digit of 28128?
8
What is the tens digit of 1826?
2
What is the units digit of 1486?
6
What is the ten thousands digit of 16139?
1
What is the units digit of 181?
1
What is the units digit of 1118?
8
What is the hundreds digit of 12554?
5
What is the hundreds digit of 2206?
2
What is the thousands digit of 6387?
6
What is the thousands digit of 2215?
2
What is the thousands digit of 15714?
5
What is the units digit of 189?
9
What is the units digit of 10301?
1
What is the tens digit of 3883?
8
What is the units digit of 608?
8
What is the thousands digit of 7895?
7
What is the hundreds digit of 91981?
9
What is the thousands digit of 59006?
9
What is the hundreds digit of 2205?
2
What is the tens digit of 1366?
6
What is the units digit of 16532?
2
What is the tens digit of 1772?
7
What is the thousands digit of 10128?
0
What is the hundreds digit of 155?
1
What is the units digit of 11900?
0
What is the hundreds digit of 126?
1
What is the thousands digit of 1203?
1
What is the thousands digit of 1627?
1
What is the thousands digit of 10556?
0
What is the units digit of 76?
6
What is the units digit of 887?
7
What is the tens digit of 1182?
8
What is the tens digit of 37918?
1
What is the thousands digit of 6377?
6
What is the tens digit of 519?
1
What is the units digit of 7287?
7
What is the hundreds digit of 783?
7
What is the ten thousands digit of 57814?
5
What is the hundreds digit of 31099?
0
What is the hundreds digit of 100381?
3
What is the tens digit of 2811?
1
What is the tens digit of 1918?
1
What is the units digit of 17004?
4
What is the units digit of 2263?
3
What is the thousands digit of 30436?
0
What is the thousands digit of 4945?
4
What is the hundreds digit of 37754?
7
What is the tens digit of 47515?
1
What is the units digit of 1467?
7
What is the tens digit of 3296?
9
What is the ten thousands digit of 15419?
1
What is the tens digit of 2881?
8
What is the hundreds digit of 15066?
0
What is the hundreds digit of 1314?
3
What is the hundreds digit of 20326?
3
What is the thousands digit of 20683?
0
What is the units digit of 3362?
2
What is the hundreds digit of 82261?
2
What is the tens digit of 1000?
0
What is the tens digit of 200?
0
What is the hundreds digit of 52408?
4
What is the hundreds digit of 935?
9
What is the hundreds digit of 2609?
6
What is the thousands digit of 3165?
3
What is the tens digit of 21906?
0
What is the hundreds digit of 16950?
9
What is the hundreds digit of 1464?
4
What is the hundreds digit of 45080?
0
What is the hundreds digit of 133800?
8
What is the units digit of 12544?
4
What is the hundreds digit of 2451?
4
What is the thousands digit of 1423?
1
What is the units digit of 30344?
4
What is the thousands digit of 2227?
2
What is the units digit of 750?
0
What is the units digit of 965?
5
What is the tens digit of 13853?
5
What is the hundreds digit of 2705?
7
What is the tens digit of 2846?
4
What is the ten thousands digit of 20639?
2
What is the tens digit of 4912?
1
What is the tens digit of 4565?
6
What is the tens digit of 58255?
5
What is the tens digit of 175?
7
What is the hundreds digit of 5590?
5
What is the tens digit of 879?
7
What is the hundreds digit of 16160?
1
What is the tens digit of 1631?
3
What is the tens digit of 4761?
6
What is the tens digit of 28499?
9
What is the tens digit of 8552?
5
What is the hundreds digit of 8067?
0
What is the hundreds digit of 144?
1
What is the hundreds digit of 3128?
1
What is the thousands digit of 33531?
3
What is the tens digit of 1562?
6
What is the hundred thousands digit of 144368?
1
What is the ten thousands digit of 25158?
2
What is the hundred thousands digit of 118834?
1
What is the thousands digit of 4375?
4
What is the units digit of 143?
3
What is the tens digit of 47582?
8
What is the units digit of 3563?
3
What is the units digit of 239?
9
What is the thousands digit of 1649?
1
What is the tens digit of 17186?
8
What is the hundreds digit of 42530?
5
What is the tens digit of 126579?
7
What is the hundreds digit of 100?
1
What is the units digit of 1738?
8
What is the tens digit of 58475?
7
What is the tens digit of 3239?
3
What is the units digit of 1704?
4
What is the units digit of 2406?
6
What is the thousands digit of 1257?
1
What is the tens digit of 530?
3
What is the hundreds digit of 3792?
7
What is the tens digit of 149784?
8
What is the units digit of 11196?
6
What is the hundreds digit of 62539?
5
What is the units digit of 56586?
6
What is the units digit of 5193?
3
What is the tens digit of 2282?
8
What is the units digit of 2336?
6
What is the hundreds digit of 494?
4
What is the hundreds digit of 30798?
7
What is the tens digit of 1728?
2
What is the tens digit of 11823?
2
What is the tens digit of 122343?
4
What is the hundreds digit of 9255?
2
What is the units digit of 650?
0
What is the hundreds digit of 346?
3
What is the units digit of 3640?
0
What is the tens digit of 614?
1
What is the units digit of 4423?
3
What is the units digit of 1159?
9
What is the units digit of 1328?
8
What is the thousands digit of 68125?
8
What is the units digit of 79?
9
What is the tens digit of 834?
3
What is the units digit of 6921?
1
What is the thousands digit of 19576?
9
What is the units digit of 209?
9
What is the units digit of 1639?
9
What is the tens digit of 17045?
4
What is the hundreds digit of 172544?
5
What is the tens digit of 119391?
9
What is the thousands digit of 7575?
7
What is the tens digit of 207?
0
What is the ten thousands digit of 17302?
1
What is the tens digit of 942?
4
What is the units digit of 4769?
9
What is the hundreds digit of 716?
7
What is the hundreds digit of 934?
9
What is the hundreds digit of 2949?
9
What is the units digit of 221?
1
What is the ten thousands digit of 69405?
6
What is the units digit of 4164?
4
What is the tens digit of 784?
8
What is the tens digit of 40548?
4
What is the thousands digit of 23633?
3
What is the tens digit of 860?
6
What is the tens digit of 10140?
4
What is the hundreds digit of 26453?
4
What is the units digit of 16183?
3
What is the thousands digit of 167824?
7
What is the tens digit of 36?
3
What is the units digit of 5210?
0
What is the tens digit of 11332?
3
What is the units digit of 172?
2
What is the hundreds digit of 11819?
8
What is the tens digit of 703?
0
What is the hundreds digit of 2136?
1
What is the units digit of 16792?
2
What is the thousands digit of 8551?
8
What is the tens digit of 1807?
0
What is the hundreds digit of 1686?
6
What is the tens digit of 1350?
5
What is the units digit of 601?
1
What is the units digit of 113?
3
What is the units digit of 21656?
6
What is the tens digit of 780?
8
What is the hundreds digit of 924?
9
What is the hundreds digit of 3516?
5
What is the hundreds digit of 24532?
5
What is the tens digit of 7040?
4
What is the units digit of 413?
3
What is the units digit of 11042?
2
What is the tens digit of 3370?
7
What is the thousands digit of 4425?
4
What is the hundreds digit of 55482?
4
What is the tens digit of 1507?
0
What is the hundreds digit of 3440
|
{
"pile_set_name": "DM Mathematics"
}
|
ams?
100000
Convert 6070.869 nanograms to milligrams.
0.006070869
What is 3/5 of a centimeter in micrometers?
6000
Convert 0.866385mm to centimeters.
0.0866385
How many tonnes are there in 345.408ng?
0.000000000000345408
What is 22888.5mg in tonnes?
0.0000228885
Convert 3135.534ng to tonnes.
0.000000000003135534
How many millilitres are there in six fifths of a litre?
1200
What is 11/2 of a litre in millilitres?
5500
Convert 397.2396cm to micrometers.
3972396
Convert 6.063044 milliseconds to seconds.
0.006063044
Convert 0.8926983 millilitres to litres.
0.0008926983
What is 3/8 of a decade in months?
45
How many meters are there in 16396.25 kilometers?
16396250
How many milligrams are there in 12/25 of a gram?
480
How many micrograms are there in 3.682547 grams?
3682547
How many tonnes are there in 302.4097ug?
0.0000000003024097
What is 3586.029 litres in millilitres?
3586029
What is 36416.47 decades in months?
4369976.4
Convert 0.5078689km to millimeters.
507868.9
Convert 7.611145ug to milligrams.
0.007611145
How many milliseconds are there in 3/5 of a minute?
36000
How many microseconds are there in 0.287493 seconds?
287493
Convert 905.9041g to kilograms.
0.9059041
Convert 6.656602 litres to millilitres.
6656.602
How many centuries are there in 1691.788 millennia?
16917.88
What is 26/5 of a millennium in decades?
520
How many millimeters are there in 3/5 of a centimeter?
6
What is 49124.88ml in litres?
49.12488
How many millilitres are there in 42/5 of a litre?
8400
How many decades are there in 5319.017 millennia?
531901.7
How many nanograms are there in 0.3609571t?
360957100000000
What is 2388.02 nanometers in meters?
0.00000238802
How many decades are there in 1.182957 months?
0.009857975
What is 21/4 of a century in years?
525
How many milligrams are there in 1/5 of a gram?
200
How many meters are there in 6/5 of a kilometer?
1200
What is 18/5 of a century in decades?
36
What is 2950185.3 months in centuries?
2458.48775
What is 1/4 of a litre in millilitres?
250
What is 0.2916688 millennia in centuries?
2.916688
How many months are there in ten thirds of a year?
40
What is 30185.52 millilitres in litres?
30.18552
How many months are there in 29/3 of a decade?
1160
What is 1/24 of a day in minutes?
60
How many seconds are there in 1/4 of a hour?
900
What is 0.9754998 nanograms in micrograms?
0.0009754998
What is 18.7062 millilitres in litres?
0.0187062
How many nanoseconds are there in 5108.765 milliseconds?
5108765000
Convert 56810.54 years to millennia.
56.81054
What is 3/10 of a microsecond in nanoseconds?
300
How many months are there in 7/3 of a year?
28
What is 877.8299 decades in years?
8778.299
How many meters are there in 66.18451 centimeters?
0.6618451
Convert 2.50931ml to litres.
0.00250931
Convert 3116.989ml to litres.
3.116989
How many years are there in 3/25 of a century?
12
Convert 282322.5ng to tonnes.
0.0000000002823225
How many micrograms are there in nine tenths of a milligram?
900
What is 0.5534951cm in nanometers?
5534951
How many micrograms are there in 0.1909267g?
190926.7
What is 65.44682 millennia in years?
65446.82
What is 6909.794ug in kilograms?
0.000006909794
How many millimeters are there in 20721.4 meters?
20721400
How many seconds are there in 32/5 of a minute?
384
What is 400742.1 centuries in millennia?
40074.21
How many centuries are there in 312.4754 years?
3.124754
What is 0.338022 micrograms in nanograms?
338.022
Convert 0.6213362 litres to millilitres.
621.3362
How many minutes are there in 7/4 of a hour?
105
What is 7.421054mg in tonnes?
0.000000007421054
How many milliseconds are there in 8653.968 microseconds?
8.653968
What is one quarter of a hour in minutes?
15
What is 3/8 of a litre in millilitres?
375
How many millilitres are there in 27/4 of a litre?
6750
How many nanograms are there in 53738.87ug?
53738870
Convert 0.0510406 days to milliseconds.
4409907.84
What is 3/50 of a millisecond in microseconds?
60
How many meters are there in 284.8952um?
0.0002848952
Convert 506902.5 years to centuries.
5069.025
Convert 0.7504596 years to decades.
0.07504596
How many millimeters are there in twenty-one eighths of a meter?
2625
What is 3/25 of a kilogram in grams?
120
Convert 9.669477ng to micrograms.
0.009669477
How many millilitres are there in 3514.429 litres?
3514429
How many millilitres are there in one tenth of a litre?
100
How many years are there in 0.0484805 centuries?
4.84805
How many seconds are there in 1/10 of a day?
8640
How many hours are there in twenty-one quarters of a day?
126
Convert 1608819.57us to days.
0.000018620596875
What is 1/5 of a litre in millilitres?
200
What is twenty-five eighths of a kilometer in meters?
3125
How many seconds are there in 31/2 of a minute?
930
What is 3/10 of a litre in millilitres?
300
What is 2.334283mm in nanometers?
2334283
What is 0.3130827 years in millennia?
0.0003130827
What is 29/6 of a week in minutes?
48720
What is thirteen eighths of a litre in millilitres?
1625
How many litres are there in 7016.88 millilitres?
7.01688
How many meters are there in one twentieth of a kilometer?
50
What is 49/4 of a hour in seconds?
44100
How many millilitres are there in eleven halves of a litre?
5500
Convert 216314.4 decades to years.
2163144
Convert 297.9244 meters to kilometers.
0.2979244
What is 18/5 of a millisecond in microseconds?
3600
What is 0.8329117l in millilitres?
832.9117
What is 2.600539km in nanometers?
2600539000000
What is 8769.727mg in tonnes?
0.000008769727
What is 173352.5 litres in millilitres?
173352500
Convert 22.34634 kilograms to grams.
22346.34
Convert 61566.86 weeks to days.
430968.02
How many grams are there in one quarter of a kilogram?
250
Convert 9891.352 grams to kilograms.
9.891352
Convert 82407.9ng to kilograms.
0.0000000824079
How many millilitres are there in 37/5 of a litre?
7400
What is twenty-one halves of a litre in millilitres?
10500
How many millimeters are there in one quarter of a meter?
250
How many millimeters are there in one twentieth of a kilometer?
50000
What is 3/5 of a kilometer in meters?
600
Convert 215177.9ug to grams.
0.2151779
Convert 4.567475 kilometers to micrometers.
4567475000
How many millimeters are there in 37/2 of a centimeter?
185
How many grams are there in 11/2 of a kilogram?
5500
How many years are there in 0.8132207 decades?
8.132207
What is 42034.257 seconds in hours?
11.6761825
How many years are there in 3/25 of a millennium?
120
What is fifty-one fifths of a decade in months?
1224
How many kilometers are there in 0.7774709mm?
0.0000007774709
What is 6/5 of a meter in centimeters?
120
What is 88559.89ms in microseconds?
88559890
How many weeks are there in 6725.6833 days?
960.8119
What is 211326.5km in millimeters?
211326500000
What is 21/4 of a gram in milligrams?
5250
How many microseconds are there in three fifths of a millisecond?
600
How many nanograms are there in 7/8 of a microgram?
875
How many centuries are there in 11/10 of a millennium?
11
What is 802.0203nm in kilometers?
0.0000000008020203
What is 1096.45 millennia in years?
1096450
Convert 2982.282 months to millennia.
0.2485235
How many kilograms are there in twenty-five halves of a tonne?
12500
What is 1.3251921 minutes in hours?
0.022086535
What is seven eighths of a century in months?
1050
What is 19/4 of a meter in millimeters?
4750
What is 17/2 of a century in years?
850
Convert 5.690668 millennia to years.
5690.668
How many micrograms are there in seven halves of a milligram?
3500
How many nanograms are there in 81.892 kilograms?
81892000000000
What is twenty-one halves of a century in decades?
105
What is thirteen fifths of a century in years?
260
What is 3473.947ml in litres?
3.473947
How many meters are there in 19/10 of a kilometer?
1900
How many months are there in 5/6 of a century?
1000
How many litres are there in 757.5758 millilitres?
0.7575758
What is one fifth of a minute in milliseconds?
12000
What is 7/15 of a decade in months?
56
What is 11/8 of a kilometer in meters?
1375
What is 3/8 of a second in milliseconds?
375
What is 29/5 of a milligram in micrograms?
5800
How many millilitres are there in thirty-three fifths of a litre?
6600
How many centimeters are there in 219.1474 meters?
21914.74
How
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*a + 6 = -j. List the prime factors of a.
7
Let i be (0 + -4)*2/(-4). Suppose -2*o = -4*q - 23 - 23, 0 = -i*q - o - 13. What are the prime factors of (57/(-9))/(3/q)?
19
Suppose -3*a + 1702 = 5*p, -3*a + 2*p + 1156 = -a. Suppose -4*r + a = 3*r. List the prime factors of r.
2, 41
Let f(a) be the third derivative of a**6/120 - 7*a**5/60 + a**3/6 - 4*a**2. Let m be f(7). List the prime factors of (-36)/(-27)*9*m.
2, 3
Suppose i - 2 = -4*i + 4*k, 0 = -2*k - 6. Let c = i - -22. What are the prime factors of c?
2, 5
Let t = 155 + 60. What are the prime factors of t?
5, 43
What are the prime factors of ((-33490)/20 - -2)*(-12)/10?
3, 223
Let r = -8015 + 13895. List the prime factors of r.
2, 3, 5, 7
What are the prime factors of (36/(-16))/(2/(-160))?
2, 3, 5
Let t be (-6)/(-54)*3 + 409/(-3). Let u = t + 206. What are the prime factors of u?
2, 5, 7
Let u(t) = 2346*t**2 + 6*t - 1. What are the prime factors of u(-1)?
2339
Suppose -3*a + 1505 = 3*f + 2*f, -4*a = -3*f - 2026. List the prime factors of a.
5, 101
Suppose 0 = -3*b - 5*y + 15, 5*b - 5*y - 12 - 13 = 0. Suppose l - b*l + 304 = 0. Suppose i + l = 3*i. What are the prime factors of i?
2, 19
Suppose 0 = 2*u + 3*f - 841, 3*f - 1 = -10. List the prime factors of u.
5, 17
Let h = 341 + -48. Suppose -292 = -5*m + h. What are the prime factors of m?
3, 13
Let f(z) = -z**3 + 11*z**2 + 14*z - 21. Let m be f(9). Suppose 5*n - 148 = m. List the prime factors of n.
83
Let d(z) be the third derivative of z**5/30 - z**4/24 - 5*z**3/6 + 8*z**2. Suppose 2 = c - 2. List the prime factors of d(c).
23
Let r(j) = 3*j**3 + 2*j - 8*j**2 + 4*j + 0*j**3 + 1 - j**3. List the prime factors of r(5).
3
Let a(f) be the first derivative of -f**2 + 19*f + 10. Let o be a(-11). Let u = 66 - o. What are the prime factors of u?
5
Let h(p) = 5*p**2 + 11*p + 3. Let n(o) = 3*o**2 + 6*o + 2. Let g(a) = -6*h(a) + 11*n(a). Let z be g(2). Let f = z - 2. What are the prime factors of f?
2, 7
Let l(a) = 34*a**2 - 24*a - 14. List the prime factors of l(-8).
2, 11, 107
Let g be (18/(-14) - -1) + (-161)/(-49). Suppose -f + y + 41 = 0, 2*f + g*y = -y + 88. What are the prime factors of f?
2, 3, 7
Let z(y) = 3*y + 373 - 375 - 2*y. Suppose f - 6 = -0*f. What are the prime factors of z(f)?
2
Suppose -18 = 35*c - 34*c. Let n = c - -108. List the prime factors of n.
2, 3, 5
Let i(w) = 210*w + 329. List the prime factors of i(8).
7, 41
Let k = 2182 - -1469. What are the prime factors of k?
3, 1217
Let k be (-1360)/(-3) + (-8)/6. Suppose 3*g = g + k. List the prime factors of g.
2, 113
Let p be ((-6)/(-8))/(13/104). Suppose -145 = -5*w - 2*l + p*l, 4*w = -2*l + 90. What are the prime factors of (w/15)/(1/30)?
2, 5
Let g be (-4)/((-12)/(-261)) - -4. Let r = g - -139. What are the prime factors of r?
2, 7
Let s be (2/6)/(-1)*(-23 - -32). Let i(m) = 12*m**2 - 3*m + 4. List the prime factors of i(s).
11
Let a be -3 + (-4 - (-786)/3). Suppose -3*z + 2*h = 4*h - a, 85 = z + 4*h. Suppose w - j + 2*j - 17 = 0, -5*w - j = -z. What are the prime factors of w?
17
Suppose -10*c + 5*c + 5005 = 0. Suppose -5*l + c = 2*l. List the prime factors of l.
11, 13
Let s(z) = 276*z**3 - 5*z. List the prime factors of s(2).
2, 7, 157
Let x(o) = 10 - 9*o - 8 - 3. Let l be x(1). List the prime factors of ((-56)/(-5))/((-4)/l).
2, 7
Let q(p) = -p - 1. Let b be q(0). Let c = 2 - b. Suppose -s + 10 = -w, -c*w + 2*w - 37 = -4*s. List the prime factors of s.
3
Suppose 20*w = 22*w - 3*g - 3208, 0 = w + g - 1594. What are the prime factors of w?
2, 17, 47
Suppose 4 = 4*g - 5*x, 2*g + 5*x - 20 = 12. What are the prime factors of (-100)/g*36/(-30)?
2, 5
Let o = 159 + -106. Suppose 0 = -4*u + 2*f + o + 49, 2*f - 98 = -4*u. What are the prime factors of u?
5
Let b(c) = -13*c + 48. Let x be b(6). List the prime factors of (8/x + 30/(-75))*-69.
2, 23
Suppose -8*u + 4*u = -m, -4*u + 3*m = 0. Suppose -427 = -u*z - 7*z. List the prime factors of z.
61
Suppose -4*w + 5179 = -n, -41*w - 2*n = -44*w + 3883. What are the prime factors of w?
5, 7, 37
Let r be (42 + -9)*(1 - 0). Let j = -19 + r. Suppose 5*b = 3*b + j. List the prime factors of b.
7
Let o be (-721)/21 - 2/3. Let t = 23 + o. Let y = t - -44. List the prime factors of y.
2
Suppose -2*f - 2*j + 10928 = 0, j + 22742 - 861 = 4*f. What are the prime factors of f?
3, 1823
Let b(y) = 64*y**2 + 50*y + 8. List the prime factors of b(-6).
2, 503
Suppose -5*a = 3*w - 17, 0 = 3*w - 2*w + 2*a - 6. Suppose -w*r = -4*x + 16, r - 3*r = -4. List the prime factors of x - (-4 - 2/(-1)).
2
Suppose -5*i + i + 44 = 0. Let a(u) = 2*u**2 - 11*u + 2. List the prime factors of a(i).
3, 41
List the prime factors of ((-68)/6)/(108/81)*-138.
3, 17, 23
Let x(z) = 3*z**2 + 15*z - 38. List the prime factors of x(-14).
2, 5, 17
Let y = -65 - -108. Suppose 6*v + 98 + 28 = 0. Let j = v + y. List the prime factors of j.
2, 11
Let h be (630/(-20))/(6/(-176)). Suppose 6*x + x = h. List the prime factors of x.
2, 3, 11
Let f = 34 - 99. Let n = f - -133. What are the prime factors of n?
2, 17
Let l(p) = -p - 4. Let f be l(-6). Suppose 7*r - 3*v = 4*r + 135, 44 = r - f*v. Let u = r - 33. What are the prime factors of u?
13
Suppose -29*w + 10387 = -12*w. What are the prime factors of w?
13, 47
Suppose 5*o - 10065 = -6*o. What are the prime factors of o?
3, 5, 61
Let y(h) = 32*h**2 - 3*h - 13. List the prime factors of y(-3).
2, 71
Let h(o) = -36*o - 1. Let n(a) = a. Let d(b) = h(b) - 6*n(b). Let k be d(1). Let q = -29 - k. List the prime factors of q.
2, 7
Let a(w) = -w**3 - 22*w**2 + w + 18. Let o be a(-22). Let r(x) = 2*x**2 + 4*x + 8. List the prime factors of r(o).
2, 3
Suppose 15313 + 2756 = 19*y. What are the prime factors of y?
3, 317
Suppose 3*f + 5*v = -f + 4063, -v + 5084 = 5*f. List the prime factors of f.
3, 113
Let u(q) = 9*q - 6. Let x be (6/18)/(2/(-66)). Let m be u(x). Let d = -63 - m. List the prime factors of d.
2, 3, 7
Suppose 21 = 5*p + 11. Suppose -6*z = p + 10. What are the prime factors of z/(-4) - (-5)/2?
3
Suppose r + 0*r - 2*d + 2 = 0, -3 = 4*r - 3*d. Suppose 26 = i + 4*z, r = 5*i - 0*i + 5*z - 160. List the prime factors of i.
2, 17
Let d(z) = -50*z + 43. What are the prime factors of d(-15)?
13, 61
Let m(h) be the first derivative of -h**4/6 - 5*h**3/3 - 2*h**2 - 2. Let l(d) be the second derivative of m(d). List the prime factors of l(-11).
2, 17
Suppose 3*m - 1111 = -19*q + 23*q, -5*m - 5*q = -1805. List the prime factors of m.
5, 73
Let x(i) = -4 - i + i - 5*i - 10*i. List the prime factors of x(-5).
71
Let j be 3/(6/14) + (-1 - 1). Suppose -4*k = -j*v + 263, -2*v + 113 = -3*k + 4*k. List the prime factors of v.
5, 11
Suppose -8*l - 3123 = -11*l. What are the prime factors of l?
3, 347
Suppose -2*l - 72 = -5*d + 100, -4*d + l + 137 = 0. List the prime factors of (-16)/(d/18 - 2).
2, 3
Let q(l) = l**3 - 10*l**2 - 11*l + 7. Let h(k) = -4*k**3 + 41*k**2 + 45*k - 27. Let b(w) = -2*h(w) - 9*q(w). What are the prime factors of b(7)?
103
Suppose 432 = 2*u - 3*b, -u - 5*b = 4*u - 1030. What are the prime factors of u?
2, 3, 5, 7
Let w(f) = -4*f**2 - 3*f + 3. Let z be w(-3). Let n = z - -31. What are the prime factors of n?
7
Let h(y) be the first derivative of -y**3/3 + 5*y**2/2 + 3*y - 5. Let r be h(5). Suppose 2*u = u - r*v + 37, -v + 171 = 5*u. What are the prime factors of u?
2, 17
Let v(f) = f + 10. Let w be v(-14). Let c(q) = -5*q - 8. Let o be c(w). Suppose -7*z + o*z = 85. List the prime factors of z.
17
Suppose -4*u - 19 = -27. Suppose -u*i = -f + 2*i + 30, -25 = 5*i. List the prime factors of f.
2, 5
Let i(h) = h**2 + 20*h + 163. List the prime factors of i(-34).
3, 71
Suppose -r - 69 = 5*v, 0 = 3*r + 2*r + 20. Let k be ((-102)/9)/(4/(-18)). Let p = k + v. List the prime factors of p.
2, 19
What are the prime factors of 1246*(136/16 - 7)?
3, 7, 89
Suppose 52309 = 212*t - 195*t. List the prime factors of t.
17, 181
Let h(w) = 3*w + 9. Let a be h(-2). Suppose 5*p = 5 + 10. What are the prime factors of 74/a - (-1)/p?
5
Let a be 2/(-8) - 858/24. Let x be (a/24)/((-1)/2). Let g(m) = m**3 + 4*m**2 - 3*m. What are the prime factors of g(x)?
2, 3
List the prime factors of (-148710)/(-75) + (44/20 - 3).
2, 991
Let z = 21 - 4. Suppose 16*a = z*a - 5. List the prime factors of a.
5
Let n = 59 - 57. Let t(i) = 19*i**3 - 2*i**2 + 2. List the
|
{
"pile_set_name": "DM Mathematics"
}
|
y = -2*b + 1 + t, b + 15 = y. What is the remainder when y is divided by 8?
6
Let v be 2/(8/36)*11. Suppose -4*r - 5*f + v = 0, 2*r = 2*f + 3*f + 57. Calculate the remainder when r is divided by 7.
5
Suppose 1 = k + 2*j, 0 = -j + 2*j + 5. What is the remainder when 21 is divided by k?
10
Suppose -2*l + 3*d - 18 + 53 = 0, d = -3*l + 36. What is the remainder when 38 is divided by l?
12
Let j be 37 - -2 - 4/(-4). Let k = j + -29. Calculate the remainder when k is divided by 4.
3
Suppose -4*n - 2*d = -d - 35, n - 8 = -d. Calculate the remainder when 15 is divided by n.
6
What is the remainder when 4 is divided by (1 - -3)/(-1) + (-48)/(-8)?
0
What is the remainder when 172 is divided by 2/(-9) + 1194/27?
40
Suppose 2*q - n - 46 = 0, 0 = -q - 14*n + 18*n + 23. What is the remainder when q is divided by (-3)/(-6) + 25/2?
10
Suppose -3*r - r + 6 = -2*d, 4*d = -r + 6. What is the remainder when 38 is divided by 2/(d/(-13)*-2)?
12
Suppose -66*z = -62*z - 172. Calculate the remainder when 214 is divided by z.
42
Suppose -5*q + q + 156 = 0. Suppose 10 = 2*y, -4*i = -y - 4*y - q. Calculate the remainder when i is divided by 9.
7
Let i = -30 + 31. Calculate the remainder when 2 is divided by i.
0
Let b(k) = 5*k - 1. Let g be b(1). Let m = 41 + -26. Let n = g + m. What is the remainder when 36 is divided by n?
17
Let y = 50 - 39. What is the remainder when 20 is divided by y?
9
Suppose -l - 2 - 3 = -r, 7 = -2*l + 5*r. Let q = l + 18. What is the remainder when (-22)/4*-6 - -2 is divided by q?
11
What is the remainder when 19/57 - (1 + 260/(-3)) is divided by 29?
28
What is the remainder when 20 is divided by -3 + 13 - (-1 - -4)?
6
Suppose -32*l + 674 - 194 = 0. Let b(o) = 5*o**3 - 2*o**2 - 3*o + 2. Calculate the remainder when b(2) is divided by l.
13
Suppose 2*b = -b - 414. What is the remainder when (-6)/(-1*(-9)/b) is divided by 31?
30
Suppose 0 = -d - 2*d - 252. Calculate the remainder when (d/8)/(1/(-2)) is divided by 11.
10
Let n = -100 - -116. Calculate the remainder when 108 is divided by n.
12
Let f = -2 - -4. Suppose 2*b - 5*i = 107, -6*i + 149 = 3*b - f*i. Calculate the remainder when b is divided by 14.
9
Let q(h) = h**3 + 6*h**2 - 6*h + 1. Let v be q(-7). Calculate the remainder when 20 is divided by 21*(3 - 5)/v.
6
Suppose -v + 6*v - 2*x - 480 = 0, 5*x = -5*v + 515. Suppose -8 + v = 3*r. Let d(y) = 15*y + 1. Calculate the remainder when r is divided by d(1).
14
Suppose -32 = -5*p + 3*l, 0 = 3*p - 4*l + 3*l - 20. Calculate the remainder when 15 is divided by p.
1
Let m be (-4)/16 + 9/4. Let p be (0 - (m - 3)) + -5. Calculate the remainder when (-3 - p) + (1 - 0) is divided by 2.
0
Let o(r) = r**2 + 5*r - 2. Let p be o(-6). Suppose 4*s + 18 - 240 = 2*u, 3*s + p*u = 161. Calculate the remainder when s is divided by 19.
17
Let a = -15 + 50. Calculate the remainder when a is divided by 12.
11
Let t = -3 + 5. Suppose 5*m - 5 = 2*p, 4 = 4*m - p - 3. Suppose -2*h = o - 39, o - m*h - t*h = 74. Calculate the remainder when o is divided by 17.
15
Suppose -7*h = -3*h - 76. Suppose -3*q + 42 = -4*d, -10 = -2*q + 3*d + 19. What is the remainder when h is divided by q?
9
What is the remainder when 8 - 2*2/4 is divided by 3 + 0/((-18)/(-3))?
1
Let d = 6 + -3. Let l(i) = i**d + 0 + 9*i + 2*i**2 + 2 + 7*i**2. Calculate the remainder when l(-7) is divided by 13.
11
Suppose -5*a + 42 = 3*f - a, -11 = -2*f + 3*a. Suppose 4 + 11 = -5*x. Let q(n) = n**3 + 6*n**2 + n - 5. What is the remainder when q(x) is divided by f?
9
Let x(c) = 7*c**2 - c**2 - 4*c**2 + 4 - c**2. Calculate the remainder when x(-6) is divided by 21.
19
Suppose 0 = 2*j - j - 52. Suppose 5*h - 5*i - 190 = 0, 0 = 2*h + 6*i - 2*i - j. Calculate the remainder when h is divided by 18.
16
Suppose -g + 32 = -5*h, g - 4 = -4*h + 1. What is the remainder when 25 is divided by g?
8
Suppose 5*z = 8*z - 27. Calculate the remainder when z is divided by 3.
0
What is the remainder when (2 + 0 + 45)*(1 - 0) is divided by 22?
3
Let n(m) = 2*m**2 - 4*m + 0 + 4*m + 3 - 4*m. Calculate the remainder when 17 is divided by n(3).
8
Let k = -9 - -22. Suppose 4*p - 16 = -0*p + 2*s, -5*p = 5*s - 5. Suppose 26 = p*l - 49. What is the remainder when l is divided by k?
12
Let r(k) = 5*k**2 - 3*k. Let i be (-9)/2 - (-1)/2. Calculate the remainder when r(2) is divided by 8/(-6)*12/i.
2
Let v = 0 - 1. Let q(m) = -8*m - 54. Let i be q(-10). Let p = v + i. What is the remainder when p is divided by 9?
7
Let z(o) = -7*o - 37. Suppose 15 - 39 = -4*f - 4*y, 5*y + 40 = 5*f. Calculate the remainder when z(-9) is divided by f.
5
Suppose x - 3*x = -42. Let z(r) = -r + 66. Let n be z(0). Suppose 0 = 5*d - 266 + n. Calculate the remainder when d is divided by x.
19
Suppose -3*j + 185 = 2*j. Calculate the remainder when j is divided by (-3 + 1)/(3/(-15)).
7
Let v be -4 + 1 - 4/2. Let t = 9 - v. Suppose -5*s + s = -100. What is the remainder when s is divided by t?
11
Let u(l) = l**3 + 7*l**2 - 11*l - 11. Let t be u(-8). Suppose 2*f - 37 = -t. What is the remainder when 35 is divided by f?
11
Let b(m) = -53*m. What is the remainder when b(-1) is divided by (4/8)/(5/270)?
26
Suppose 0*h = h + 27. Let r = h + 16. Calculate the remainder when 25 is divided by (14/2)/(-10 - r).
4
Let d be 144/14 + (-12)/42. Suppose -b = -3*b + d. What is the remainder when 9 is divided by b?
4
Let a(r) = 11*r - 17. What is the remainder when 53 is divided by a(4)?
26
Suppose p - 64 = 5*a, -18*p + 17*p + 67 = -2*a. Let v(y) = -19*y - 1. Calculate the remainder when p is divided by v(-1).
15
Suppose i + i - 38 = 0. Calculate the remainder when 75 is divided by i.
18
Let l = 20 + -12. Calculate the remainder when 10 is divided by l.
2
Let b = -20 - -49. Let x = -26 + b. What is the remainder when 10 is divided by x?
1
Let q(j) = -j. Let c(z) = z + 7. Let i be c(-7). Suppose -3*a - 19 + 61 = i. What is the remainder when a is divided by q(-5)?
4
Suppose -3*t - z = -280, -3*t - 5*z + 127 + 157 = 0. Suppose -x + 21 = -3*b - 0*b, 5*b = -4*x + 101. What is the remainder when t is divided by x?
21
Suppose 0*v - 4*u = -5*v, 4*u - 32 = -3*v. What is the remainder when 8 is divided by v?
0
What is the remainder when -3 + 0 + 0 + 4 - -15 is divided by 6?
4
Let h = 0 + 3. Suppose 0 = -h*f + 4*f - 21. Calculate the remainder when f is divided by -3 - -3*(0 + 3).
3
Let q be ((-18)/(-5))/(2/(-10)). What is the remainder when 14 is divided by 10/45 - 140/q?
6
Let h = -7 - -10. Calculate the remainder when (-2)/(h*(-2)/99) is divided by 12.
9
What is the remainder when 9 + (1 + 1 - 0) is divided by 3?
2
Let c(z) = z**2 - 22*z - 28. Let a be c(23). Let h be 1*-32*(-3)/4. Let m = h - a. What is the remainder when m is divided by 10?
9
Suppose -5*h = 4 - 139. What is the remainder when 78 is divided by h?
24
Let s(d) = 10*d - 2. Suppose 0*m + 3 = m. Let b be 4*((-15)/6 + m). Calculate the remainder when 51 is divided by s(b).
15
Suppose 5*l + 4*t + 6 = 0, 0*t = 5*l - 5*t - 30. Suppose 0 = 2*q - 1 - 5. What is the remainder when q is divided by l?
1
Let i be (2/3)/((-2)/12). Let t = i - -6. Calculate the remainder when ((-8)/6)/((-2)/6) is divided by t.
0
Let v be (-4 - -2)/(-1*1). Suppose -3 = -v*f - f - 5*x, -3*f = 4*x - 6. What is the remainder when 11 is divided by f?
5
Let u(f) = 3*f**2 - f + 2. Suppose 18*x - 19*x = -46. Calculate the remainder when x is divided by u(2).
10
Suppose 4*p = -5*s + 68, 5*p - 3*s - 24 = 2*p. What is the remainder when 35 is divided by p?
11
Let d be (-119)/3 - (-4)/6. Suppose -2*m - 21 = o, -105 + 21 = 4*o - 5*m. Let v = o - d. What is the remainder when v is divided by 10?
8
Let a(w) = w**3 + 9*w**2 - w - 1. Let j be 7 + -3 + 3 + -2. Suppose -j*p = 73 - 28. Calculate the remainder when a(p) is divided by 5.
3
Suppose -3*f + 3 + 3 = 0. Suppose f*w = -p - 0*p + 27, -1 = p. Calculate the remainder when 39 is divided by w.
11
Let o(m) = 2*m - 5. Let l be o(-8). What is the remainder when 89 is divided by (1 - 1) + (2 - l)?
20
Let x = -23 - 5. What is the remainder when 26 is divided by 2/(2/x*-2)?
12
Suppose -6 = -3*z, -2*b = -6*b + 4*z. Calculate the remainder when 27 + b/(2 + -4) is divided by 7 - 1/(2/(-4)).
8
Let l = -45 - -64. What is the remainder when 159/(-2)*20/(-30) is divided by l?
15
Let h = -1 - -4. Suppose -h*r + 81 = 6. What is the re
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{
"pile_set_name": "DM Mathematics"
}
|
in descending order.
3, -3, -5, -18, -29
Put -54, 133, -5 in decreasing order.
133, -5, -54
Sort -70, 1/2, 0.3, 0 in increasing order.
-70, 0, 0.3, 1/2
Put -2/3, 14, -1/4, -0.1 in descending order.
14, -0.1, -1/4, -2/3
Sort 2, -3, -4, -587 in ascending order.
-587, -4, -3, 2
Sort 3, 84, 0 in decreasing order.
84, 3, 0
Put -14/17, 2/5, -3 in increasing order.
-3, -14/17, 2/5
Put 2867, -1/4, 1 in decreasing order.
2867, 1, -1/4
Sort -1, 12, 40/7 in ascending order.
-1, 40/7, 12
Sort -3, -248, 4 in ascending order.
-248, -3, 4
Sort -0.1, 0.033, -2/3, 1/10 in descending order.
1/10, 0.033, -0.1, -2/3
Sort 2/5, -3/4, 15 in descending order.
15, 2/5, -3/4
Sort 3, 0.3, 296, 0.2.
0.2, 0.3, 3, 296
Sort -0.5, -40, -2 in ascending order.
-40, -2, -0.5
Put -7, 14, 2, -4 in decreasing order.
14, 2, -4, -7
Sort -3.7, -1, 1, 97 in increasing order.
-3.7, -1, 1, 97
Sort 1, -115, 3.
-115, 1, 3
Sort 0, 4, -224, -2, -3 in decreasing order.
4, 0, -2, -3, -224
Sort -2/23, -5/4, -2/29, 31 in descending order.
31, -2/29, -2/23, -5/4
Put 1, 0, -1, -178 in ascending order.
-178, -1, 0, 1
Put 4, 54, 1, -5, 0 in increasing order.
-5, 0, 1, 4, 54
Sort 1, -12, 4, -2 in descending order.
4, 1, -2, -12
Sort 6, 17, 1, -1.
-1, 1, 6, 17
Sort -1/3, -0.16, -2, 11, 0.4 in increasing order.
-2, -1/3, -0.16, 0.4, 11
Put 3, 24, 1, -0.3, 5/2 in descending order.
24, 3, 5/2, 1, -0.3
Sort -1/4, -0.1, 1/3, -125.
-125, -1/4, -0.1, 1/3
Sort 1, 2413, -1, 0 in increasing order.
-1, 0, 1, 2413
Sort -3, -1/571, 4 in descending order.
4, -1/571, -3
Sort -11, -0.01, 0.
-11, -0.01, 0
Sort 0, 3, 8, 0.4 in ascending order.
0, 0.4, 3, 8
Sort -1, 5, -66 in decreasing order.
5, -1, -66
Sort -5, 5, -6, 4, -3 in increasing order.
-6, -5, -3, 4, 5
Put 3, 139, -6, -1/12 in decreasing order.
139, 3, -1/12, -6
Put 4, -4, -8 in descending order.
4, -4, -8
Sort 4, -0.5, -1.2, -0.03 in decreasing order.
4, -0.03, -0.5, -1.2
Sort -5, 2, -3.
-5, -3, 2
Put 0, -21, -79, -4 in ascending order.
-79, -21, -4, 0
Sort -4, 5, -3, -10.
-10, -4, -3, 5
Put 16, -7, -19 in ascending order.
-19, -7, 16
Sort 1, -2, 7, 19 in decreasing order.
19, 7, 1, -2
Sort 7/274, -1.7, -3 in descending order.
7/274, -1.7, -3
Sort -1/5, -6.1, 1, -0.3 in increasing order.
-6.1, -0.3, -1/5, 1
Sort -0.016, 0.1, -0.08, 1.
-0.08, -0.016, 0.1, 1
Sort 131, -19, 0 in descending order.
131, 0, -19
Sort -4, -3, 0, 7, 12.
-4, -3, 0, 7, 12
Sort -13, 14, 2, -2, 4 in decreasing order.
14, 4, 2, -2, -13
Put 3, 4, -9 in descending order.
4, 3, -9
Sort 2, 0.5, -2/9, 2/21, -2 in descending order.
2, 0.5, 2/21, -2/9, -2
Sort -31, -45, 4 in increasing order.
-45, -31, 4
Sort 5, -2, 2, -1 in descending order.
5, 2, -1, -2
Sort 1, 2, -11, -3 in descending order.
2, 1, -3, -11
Put -0.2, 18, -5, 1/4 in decreasing order.
18, 1/4, -0.2, -5
Sort -3, 3, 2, -6 in ascending order.
-6, -3, 2, 3
Put 3, -1, -3, 96, 0.8 in decreasing order.
96, 3, 0.8, -1, -3
Sort -1, 88, 5, -4, 3 in decreasing order.
88, 5, 3, -1, -4
Put -3, -4, 4, -16 in ascending order.
-16, -4, -3, 4
Sort 4, -1, 1, 5, -8 in descending order.
5, 4, 1, -1, -8
Put 1, 1336, 5, -4 in increasing order.
-4, 1, 5, 1336
Put 5, 997, 0, 1 in increasing order.
0, 1, 5, 997
Sort 27, 0.4, -0.3, -3/7 in ascending order.
-3/7, -0.3, 0.4, 27
Put 0.01, 6/43, 0.1, -4, -3 in decreasing order.
6/43, 0.1, 0.01, -3, -4
Put -0.1, 768, -4, -3/7, 1/2 in increasing order.
-4, -3/7, -0.1, 1/2, 768
Sort 3, -4, 66 in descending order.
66, 3, -4
Sort 5, 8/1489, 3/2, 0 in decreasing order.
5, 3/2, 8/1489, 0
Sort 59/2, 4, 25, 0, -0.3 in increasing order.
-0.3, 0, 4, 25, 59/2
Put 16, -4, -1/2, -2/7, 1/2 in decreasing order.
16, 1/2, -2/7, -1/2, -4
Sort 0.2, -0.05, 2, -0.19 in increasing order.
-0.19, -0.05, 0.2, 2
Put 2, -10, 3, -5 in decreasing order.
3, 2, -5, -10
Sort 3/2, 0.48, 0.11.
0.11, 0.48, 3/2
Put -217, 2, -11 in ascending order.
-217, -11, 2
Sort -3, 1603, 3, -5 in decreasing order.
1603, 3, -3, -5
Sort 0.5, 0.2, -3, -88 in ascending order.
-88, -3, 0.2, 0.5
Put 2, 4, 5, -208 in decreasing order.
5, 4, 2, -208
Put 2, 1, -130 in decreasing order.
2, 1, -130
Sort 2/13, 0, -0.07, -3 in ascending order.
-3, -0.07, 0, 2/13
Sort 12, 2, 0.3, -2, -2/7 in descending order.
12, 2, 0.3, -2/7, -2
Put -0.07, 5, -2, 8/3 in increasing order.
-2, -0.07, 8/3, 5
Sort 0, -6, -54.
-54, -6, 0
Put -11, 1/6, -0.2, -1, 1 in increasing order.
-11, -1, -0.2, 1/6, 1
Sort 7, 0, -11, -5.
-11, -5, 0, 7
Put 5/3, -5, -4, -2/21 in decreasing order.
5/3, -2/21, -4, -5
Sort 0, 2, -3, 132, 4 in ascending order.
-3, 0, 2, 4, 132
Put 4, -1, -8735, -4 in decreasing order.
4, -1, -4, -8735
Sort -0.4, -20.1, -3 in increasing order.
-20.1, -3, -0.4
Sort 12, -5, -0.17, 2, 1/3 in decreasing order.
12, 2, 1/3, -0.17, -5
Put 4, 8, 17, -19 in increasing order.
-19, 4, 8, 17
Sort 203, -2/11, 10 in increasing order.
-2/11, 10, 203
Sort 1, 2, -0.2, 35 in decreasing order.
35, 2, 1, -0.2
Sort -0.9, 0, -5 in descending order.
0, -0.9, -5
Put 5, -17/7, 1/7 in descending order.
5, 1/7, -17/7
Put 5, -6/17, 62 in descending order.
62, 5, -6/17
Sort 1/9, 30, -4/3.
-4/3, 1/9, 30
Sort -2, 4/3, -3/4, -0.4.
-2, -3/4, -0.4, 4/3
Put -2, 4, 5, 35, -4 in decreasing order.
35, 5, 4, -2, -4
Put -5, 0.102, -1 in increasing order.
-5, -1, 0.102
Put -3/2, 2/9, -0.16 in decreasing order.
2/9, -0.16, -3/2
Put -4, 4, -103 in increasing order.
-103, -4, 4
Sort 1, -20, -6 in decreasing order.
1, -6, -20
Sort -1.5, 10, -0.2, 2/3.
-1.5, -0.2, 2/3, 10
Put 0, 4, 2, 28, -5 in descending order.
28, 4, 2, 0, -5
Put 5, -25, -1, -4, 0 in ascending order.
-25, -4, -1, 0, 5
Sort -17, -2, -1, 4.
-17, -2, -1, 4
Put -3, 5, 0, 8 in descending order.
8, 5, 0, -3
Sort 0.02, 0.3, 14 in decreasing order.
14, 0.3, 0.02
Sort 5, -5, 0.1019, 3 in increasing order.
-5, 0.1019, 3, 5
Put 1359, 3, 1, 4, -1 in decreasing order.
1359, 4, 3, 1, -1
Sort -4, 12, 0, 4 in descending order.
12, 4, 0, -4
Put 72, -4, 0 in ascending order.
-4, 0, 72
Sort 4, 3, -1, -166.
-166, -1, 3, 4
Sort 15/7, -5, 2/5 in ascending order.
-5, 2/5, 15/7
Put -12, -3, 1, 5 in increasing order.
-12, -3, 1, 5
Put 43, -3, 13/10 in descending order.
43, 13/10, -3
Sort -2, -7, 7, -3 in ascending order.
-7, -3, -2, 7
Sort -0.1, -2, -44, -0.4.
-44, -2, -0.4, -0.1
Put -2.05, -2, 3 in descending order.
3, -2, -2.05
Sort 1/5, 5, 2, -3, -1 in decreasing order.
5, 2, 1/5, -1, -3
Put -0.1, 0, 3, -1.4 in descending order.
3, 0, -0.1, -1.4
Sort 1/3, 1/7, -2, -13, 2 in decreasing order.
2, 1/3, 1/7, -2, -13
Sort -1/4, -2/7, -0.4, 4 in increasing order.
-0.4, -2/7, -1/4, 4
Put 85, 4, 0, 1, -5 in increasing order.
-5, 0, 1, 4, 85
Sort 1, -2, 0, 8.
-2, 0, 1, 8
Sort -2, 7, 41/2, -4.
-4, -2, 7, 41/2
Sort -3, -1, 2, -23 in descending order.
2, -1, -3, -23
Put -4/19, 4, 5 in increasing order.
-4/19, 4, 5
Put 1, -139, 2/17, 4, 0.3 in decreasing order.
4, 1, 0.3, 2/17, -139
Put -3, 13, 11 in ascending order.
-3, 11, 13
Sort -3, -11, 0, -2 in ascending order.
-11, -3, -2, 0
Sort -0.1, 12, 2/11, -5, 0.8.
-5, -0.1, 2/11, 0.8, 12
Put 8, -0.04, -4 in decreasing order.
8, -0.04, -4
Put -1, 5, -42 in increasing order.
-42, -1, 5
Put 66, -6, 0 in descending order.
66, 0, -6
Sort -6, -4, -262.
-262, -6, -4
Sort 8, 1, -0.4, 4.
-0.4, 1, 4, 8
Put 1/8, 0.2, -0.3, 23/2 in increasing order.
-0.3, 1/8, 0.2, 23/2
Put 13.8, -3, -9, 0.2 in increasing order.
-9, -3, 0.2, 13.8
Sort -3, 10, -1.
-3, -1, 10
Sort -28, -1, -5, 0.
-28, -5, -1, 0
Sort -5, 3, -6, -2, 4 in ascending order.
-6, -5, -2, 3, 4
Sort -5, -4, -10, 2 in descending order.
2, -4, -5, -10
Put -2, -11, -7, 2 in ascending order.
-11, -7, -2, 2
Put -120, 4, 1 in decreasing order.
4, 1, -120
Put 5, -1/2, -1, -2/25, 12 in decreasing order.
12, 5, -2/25, -1/2, -1
Sort -1, -2/19, 6, 1, 2/83.
-1, -2/19, 2/83, 1, 6
Sort -1, 5, 351, 1, -4 in decreasing order.
351, 5, 1, -1, -4
Sort 15, -4, 3/4 in increasing order.
-4, 3/4, 15
Sort 2/9, -1, 4 in decreasing order.
4, 2/9, -1
Sort -2, -6, -30, 4, 1.
-30, -6, -2, 1, 4
Sort -2/3, -0.2, 7/4, -14 in descending order.
7/4, -0.2, -2/3, -14
Put 0.5, -43, 4 in descending order.
4, 0.5, -43
Sort 5, -40, 2.
-40, 2, 5
Sort 2, -4, 204, 5, 0 in descending order.
204, 5, 2, 0, -4
Put 3, -1/17, -1, -2, -3 in descending order.
3, -1/17, -1, -2, -3
Put -0.64, 0.4, -0.06, -1/7, -1 in increasing order.
-1, -0.64,
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*y(n). Calculate 13*w(v) - 6*x(v).
-v - 5
Let h be (6 - (-5 - -5)) + -12. Let m(t) = -35*t + 23. Let n(i) = 6*i - 4. Determine h*m(g) - 34*n(g).
6*g - 2
Let j(f) = f**3 - 8*f**2 - 2*f. Suppose 3*w - 28*v + 27 = -25*v, -w = -3*v + 15. Let i(l) = l**3 - l**2. What is w*i(b) + j(b)?
-5*b**3 - 2*b**2 - 2*b
Let z(n) = 2*n - 9. Let j(y) = -3*y**3 - 10*y**2 - 3*y + 71. Let u be j(-6). Let q(o) = -o - 759 + u + 386. Determine -5*q(h) - 2*z(h).
h - 2
Let s(h) = 9*h**3 + 72*h - 2. Let g(q) = -29*q**3 - 216*q + 7. What is -2*g(t) - 7*s(t)?
-5*t**3 - 72*t
Let d(a) = 63*a**2 - 33*a + 9. Let s(z) = -8*z**2 + 4*z - 1. Let u be 8/56 - (-492)/(-14) - (-3 + 1). Calculate u*s(m) - 4*d(m).
12*m**2 - 3
Suppose 0 = 65*t + 178 + 82. Let n(m) = 2*m - 2. Let s(r) = 2*r - 3. What is t*n(y) + 5*s(y)?
2*y - 7
Suppose -9*l - 24*l - 312 = -7*l. Let t(f) = f**3 - f**2 + 1. Let r(j) = 2*j**3 + 2*j**2 - 2. Determine l*t(z) - 6*r(z).
-24*z**3
Let g(f) = -52*f**3 - 17*f**2 - 31*f - 47. Let t(n) = 18*n**3 + 6*n**2 + 11*n + 16. Give 6*g(i) + 17*t(i).
-6*i**3 + i - 10
Let k be (-1)/2 + (-18)/(-4). Let d(g) be the first derivative of -7*g**3/3 - 2*g**2 - 5*g + 6661. Let h(p) = -6*p**2 - 3*p - 4. What is k*h(b) - 3*d(b)?
-3*b**2 - 1
Let u(h) = -9*h**3 - 17*h**2 - 3*h. Let c = -22442 + 22431. Let r(b) = -5*b**3 - 9*b**2 - 2*b. What is c*r(w) + 6*u(w)?
w**3 - 3*w**2 + 4*w
Let m(r) = 5*r**3 + 2*r**2 - 6. Let z(v) = v**3 - 1. Let s(f) = f**2 + 7*f + 1. Let g be s(-10). Suppose -g - 17 = 8*h. Calculate h*z(n) + m(n).
-n**3 + 2*n**2
Let p(m) = 2*m + 4*m - 4*m. Let i(v) = -33*v + 17*v + 21*v - 13*v**3 + 19*v**3 + v**2 - 5*v**3. Suppose 0 = 7*d - 4*d + 15. Give d*p(s) + 2*i(s).
2*s**3 + 2*s**2
Let l(a) = a. Let o = -10448 - -10454. Let k(f) = f - 1. Calculate o*k(w) - 5*l(w).
w - 6
Let s(o) = -7*o**3 + 2*o**2 + 8*o - 66. Let z(g) = -22*g**3 + 6*g**2 + 28*g - 197. Calculate 7*s(b) - 2*z(b).
-5*b**3 + 2*b**2 - 68
Let s(i) = 20*i**3 + 11*i + 6. Let v = -2 - 2. Let g(h) = 7*h**3 + 4*h + 2. Suppose -4*q = -54 + 10. Calculate q*g(l) + v*s(l).
-3*l**3 - 2
Let l(r) = -1 - 8*r**3 + 0 + 11*r**2 - 3*r**2. Let d(u) = -u**3 + 23*u**2 + 872*u - 530. Let g be d(43). Let z(t) = t**3 - t**2. Give g*z(p) - 2*l(p).
2*p**3 - 2*p**2 + 2
Let d(s) = s + 1. Let y(w) = -w**2 - 4*w - 3. Let i = -4926 - -4923. Calculate i*d(q) - y(q).
q**2 + q
Let m(w) = -3*w**2 + 2*w + 8. Let f(k) = -3*k**2 + k + 7. Let s = 11687 + -11693. Determine s*f(y) + 5*m(y).
3*y**2 + 4*y - 2
Let c(q) = 3*q - 3. Let s(k) = k - 1. Let p(n) = c(n) - s(n). Let h be (-12)/14*(-7 + 91/39). Let y(u) = -5*u + 5. What is h*y(t) + 11*p(t)?
2*t - 2
Let p(v) = -v - 6. Suppose 2*t - z + 14 = 0, 0 = -4*t + t - 4*z + 1. Let o(r) = -r - 5. Calculate t*p(a) + 4*o(a).
a + 10
Let n(h) = -2*h**2 - 2. Let s = 121 - 126. Let x be (s + 39/7)*-7. Let q(v) = -2*v**2 - 1. Calculate x*q(m) + 3*n(m).
2*m**2 - 2
Let d(r) = -7*r**3 - 2*r**2 - 7*r + 5. Let w(q) = -q**3 - q**2 - q + 1. Let v(t) = -71*t - 1559. Let k be v(-22). What is k*w(j) - d(j)?
4*j**3 - j**2 + 4*j - 2
Let t(f) = 71*f**3 - 181*f**2 + 8*f - 2. Let x(z) = 24*z**3 - 61*z**2 + 3*z - 1. Determine -3*t(u) + 8*x(u).
-21*u**3 + 55*u**2 - 2
Let p(v) = 20*v**3 + 3*v + 2. Suppose -608*g = -2*h - 613*g + 2, -g - 7 = -7*h. Let f(c) = -c**3 + c + 1. Determine h*p(d) - 3*f(d).
23*d**3 - 1
Suppose -6*x + 372 = 6*x. Let v(s) = 35 - x + 0*s**3 + 2*s**3 + s**3. Let h(r) = -3*r**3 - 5. What is -4*h(m) - 5*v(m)?
-3*m**3
Let k(w) = -120*w**2 - 15*w - 384. Let n(d) = -15*d**2 - 2*d - 55. Give 2*k(q) - 15*n(q).
-15*q**2 + 57
Let x(z) = -203*z**2 + z**3 + 13*z + 410*z**2 - 206*z**2 - 12*z. Let y(t) = 4*t**3 + 2*t**2 - 4*t - 1. Give -2*x(j) - y(j).
-6*j**3 - 4*j**2 + 2*j + 1
Let l(k) = -33*k**2 + 2*k + 3. Let z(v) = 74*v**2 - 4*v - 7. Let n(c) = -14*l(c) - 6*z(c). Let s(p) = -19*p**2 + 5*p. Give 7*n(g) + 6*s(g).
12*g**2 + 2*g
Let z(k) = 15*k**2 - 15*k. Let n(i) be the second derivative of -i**4/4 + i**3/2 + i. Let p = -568095 + 568119. Determine p*n(g) + 5*z(g).
3*g**2 - 3*g
Let v(c) = c + 1. Let x be 11/198*-6*3. Let z(o) = 13*o**2 - 5*o - 7. Give x*z(q) - 5*v(q).
-13*q**2 + 2
Let k(a) = -a**3 + 12*a**2 - 3*a - 84. Let w be k(11). Let r(p) = 18*p - 4. Let s(i) = i - 1. Give w*s(m) - r(m).
-14*m
Let s = 92 + -124. Let d be 48/s + (-5)/(-2). Let z(x) = -x**2 - 6*x. Let n(t) = -t. Calculate d*z(b) - 4*n(b).
-b**2 - 2*b
Let v(b) = 486*b + 8. Let u(l) = -1961*l - 34. What is 2*u(a) + 9*v(a)?
452*a + 4
Let t(n) = -3*n**2 + n + 41. Let d(w) = 2*w + 5. What is -d(q) - t(q)?
3*q**2 - 3*q - 46
Suppose -6*d + 0*d + 30 = 0. Suppose -w - 2 = 3*z, 3*z + 23 = z - d*w. Let v(a) = a + 1. Let g(u) = 5 + 5 + 6*u - 6 + 3*u - 2*u**2. What is z*g(s) - 6*v(s)?
-2*s**2 + 3*s - 2
Suppose 5*o + 7 = 4*n - 3, -4*n = 20. Suppose 24*y + 363 = 627. Let z(s) = -s**2 - s - 2. Let g(l) = -2*l**2 - 2*l - 4. What is o*g(q) + y*z(q)?
q**2 + q + 2
Let b(x) = -341*x**2 - 77*x + 77. Let j(q) = 3*q + 2 + 2*q + 256*q**2 - 4*q - 3*q - 265*q**2. Calculate -6*b(f) + 231*j(f).
-33*f**2
Suppose i - 2*m = -6*m + 77, -3*i - 3*m = -267. Let a = i - 89. Let d(g) = -2*g + 6. Let b(n) = 2*n - 5. Calculate a*d(l) + 5*b(l).
2*l - 1
Let j(l) = 15*l - 5. Let t(p) = 7*p - 2. Suppose -9*f - 12 - 33 = 0. Let x be -2*(51/(-68) + 1/(-4)). Give f*t(a) + x*j(a).
-5*a
Let u = 41 + -39. Let y(h) = u + 1 + 5*h - 13*h + 3*h. Let r(p) = 77*p + 18*p - 39*p - 34. Determine 6*r(g) + 68*y(g).
-4*g
Let o(c) be the third derivative of 3*c**5/10 - 11*c**3/3 + 3*c**2. Let t(i) = 7*i**2 + 30 - 8*i**2 + 26 - 55. Calculate 2*o(b) + 44*t(b).
-8*b**2
Let v(q) = 65*q**2 + 10. Suppose 52 = 5*o - w, 5*o + 34*w = 39*w + 60. Let n(k) = -22*k**2 - 3. Calculate o*n(l) + 3*v(l).
-25*l**2
Let p(h) be the third derivative of -3 + 0*h**4 - h**2 + 0*h + 7/12*h**5 - 11/6*h**3. Let y(j) = -7*j**2 + 2. Calculate 2*p(d) + 11*y(d).
-7*d**2
Let g(m) = -20*m**3 - 3*m**2 + 6*m - 7. Let b(j) = 4*j**3 + j**2 - j. Let r(q) = 6*b(q) + g(q). Let p(z) = -21*z**3 - 16*z**2 + 36. Give -2*p(x) - 11*r(x).
-2*x**3 - x**2 + 5
Let i(x) = 100*x**3 + 3*x**2 - 2. Let k(m) = -300*m**3 - 11*m**2 + 5. What is 7*i(a) + 2*k(a)?
100*a**3 - a**2 - 4
Let y(c) = 78*c**3 - 4*c**2 - 2*c. Let q(x) = -40*x**3 + x. Determine 9*q(o) + 4*y(o).
-48*o**3 - 16*o**2 + o
Let a(k) be the second derivative of 3*k**5/20 - k**4/6 + k**2 + 7*k. Let j(w) = 55*w**2 + 400 - 80*w**3 - 882 + 427. Calculate 55*a(u) + 2*j(u).
5*u**3
Let o(y) = -4*y + 2. Let z(l) = 323*l + 15. Let v(n) = -139*n - 6. Let s(x) = 7*v(x) + 3*z(x). Give -5*o(p) + 4*s(p).
4*p + 2
Let s(u) = -7*u. Let x(k) = -3*k. Let z(n) = 2*s(n) - 5*x(n). Let d(i) = i + 1. Suppose -2 = -2*b - 0. Let g be 2/(-6)*(-24)/(-4). What is b*z(t) + g*d(t)?
-t - 2
Let w(r) = -2*r - 3. Let p(c) = -c**2 - 3*c - 5. Let k be 5/3*9/5. Determine k*p(a) - 5*w(a).
-3*a**2 + a
Let z(u) = 4*u - 6. Let j(n) be the first derivative of n**4/2 + 46*n**3/3 + 22*n**2 - 7*n + 64. Let b be j(-22). Let d(r) = 3*r - 4. Determine b*d(w) + 5*z(w).
-w - 2
Let m(a) = 142920*a + 11116. Let j(l) = -25*l - 2. Determine -11116*j(r) - 2*m(r).
-7940*r
Let b(x) = -4*x**3 + 3. Suppose q + 27 = 4*o, 3*o - 5*q - 201 = -168. Let v(s) = 4*s**3 - 4. Give o*v(k) + 8*b(k).
-8*k**3
Let i = -13 - -8. Let f(h) be the third derivative of h**5/30 - 7*h**4/24 - h**3/2 + 28*h**2 - 499. Let d(l) = 2*l**2 - 8*l - 4. Give i*d(v) + 6*f(v).
2*v**2 - 2*v + 2
Let j(r) = 2*r**3 - 5*r**2 - 1184*r - 18. Let d(t) = 2*t**3 - 6*t**2 - 1180*t - 21. Give -6*d(k) + 7*j(k).
2*k**3 + k**2 - 1208*k
Let z(v) be the first derivative of v**3/3 + v**2/2 + v + 5610. Let q be 4/8*(-1 + -1). Let r(w) = w**3 - 7*w**2 - 7*w - 6. What is q*r(p) - 6*z(p)?
-p**3 + p**2 + p
Let y(h) = h**2 + 88*h + 88. Let m be y(-1). Let w(p) = 9*p + 4. Let f(k) = k + 1. Give m*w(s) - 6*f(s).
3*s - 2
Let r(h) = 7*h**3 - 35239*h**2 + 11*h + 66. Let c(l) = 5*l**3 - 26429*l**2 + 8*l + 48. Give -11*c(a) + 8*r(a).
a**3 + 8807*a**2
Let f(w) = -12471*w**3 + 7*w**2 - 91*w - 12. Let a(b) = -8314*b**3 + 5*b**2 - 65*b - 9. Calculate -7*a(r) + 5*f(r).
-4157*r**3 + 3
Let c(t) = 9*t**3 - 5*t + 1. Let u(m) be the first derivative of m**4/4 - m**2/2 - 1208. Give c(f) - 5*u(f).
4*f**3 + 1
Let d(z) = -1031*z + 10*z**2 - 1023*z + 3076*z - 1022*z. Suppose -n + 4*n + 12 = 0. Let c(v) = -3*v**2. Give n*d(r) - 11*c(r).
-7*r**2
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
for w.
-4
Let y = 13059 - 13057. Suppose 0*a + a = -3*i + 16, 0 = -3*a - 2*i + 34. Solve 0 = -5*s - c - 0*c - 20, -4*c + a = y*s for s.
-5
Suppose 16*c + 6*c - 57*c + 105 = 0. Solve 2*r = -b - 8, -b - 5*r = -c*b + 2 for b.
-4
Let r = -3070 - -3075. Solve 0 = -r*v - 2*n - 26, n - 26 = 5*v - 9 for v.
-4
Suppose 2*u + 6 = -i, -2*i - 3*u + 5 = 3*i. Let p(v) = v**3 + 57*v**2 + 62*v + 340. Let l be p(-56). Solve 0 = -i*s - 2*a + 2, -s - l*a - 2 = -13 for s.
-1
Let k = -34422 + 34425. Solve -4*h + 19 = -i, 50 = -4*i + k*h + 39 for i.
1
Let g = -79 + 92. Suppose 3*n + 20 = g*n. Solve -2*k = -5*v + 11 + 24, 10 = -n*v - 4*k for v.
5
Let g(z) = 29*z**2 - 5*z - 20 - 47*z**2 + 20*z**2. Let d be g(5). Solve d*b = 5, -5*b - 2 - 2 = -3*i for i.
3
Let n = -269 + 311. Let k be n/15 + (-56)/70. Solve 5*p - 3*b - 5 = -b, 3*b = 2*p - k for p.
1
Suppose -320 = -63*n + 33*n - 34*n. Solve m + 3 - 2 = -b, -n*m = 4*b for b.
-5
Suppose -22 = -3*i + 2. Suppose 7*t - 13 - i = 0. Suppose -t*g - k - 4*k + 27 = 0, 0 = 5*g + 5*k - 35. Solve -o - 2 = 3*h, 2 = -5*h - 3*o + g for h.
-2
Suppose -2*z - 2 = 4*t, -t - 18 = 41*z - 44*z. Solve 5*c - 26 = -3*y, z*y + 10 = -60*c + 65*c for y.
2
Let m be (-4 + 119)*(18 - 17). Let n = m - 115. Solve 3*z - 12 = 3*g, n*g + 8 = -g - 3*z for g.
-5
Let z(g) = 673 + g - 6*g**2 - 674 - g**3 - 7*g. Let u be z(-5). Let c = 29 + -18. Solve w - 5*w - 12 = -u*v, 0 = 5*w - 4*v + c for w.
1
Let z(p) = -p**2 - 6*p + 3. Let v be z(-6). Suppose -v*u + 5*u = -4*u. Solve -o - 5 = -a - 0, 4*o - 5*a + 21 = u for o.
-4
Let x be 1 + (-3 - -6)/(60/180). Solve v - x = -4*n + 8, -5 = -5*v - 3*n for v.
-2
Let o = -3096 - -3101. Solve 0 = -2*j + 2*a + 2, o*j + 27 = -11*a + 8*a for j.
-3
Let i be (-65)/39 - (-70)/15. Solve -s = 2*w + 2, -i*s + w - 16 = -31 for s.
4
Let p be (6 + 1)*(-10)/(-7). Suppose -27 = -p*d + d. Suppose 0 = -2*f, t + 2*f - f = 12. Solve 0 = -d*x + t, -4*g + 18 = g + 2*x for g.
2
Suppose 9*o = -3*o - 144. Let b(t) = t**3 + 11*t**2 - 14*t - 22. Let a be b(o). Solve -4*d - 4*y + y = -4, -a*y = 8 for d.
4
Suppose -5165 = 128*o - 25389. Solve 0 = -4*d + 20, -3*z + 3*d + o = 170 for z.
1
Let c(l) = 66*l + 2049. Let m be c(-31). Solve -4*t = 4*y - 16, -2*y = -m*t + 12 - 10 for t.
2
Suppose 0 = 4*d + 4 - 20. Suppose -10*u = -u + 9. Let b be u - ((-9)/1 + 4). Solve a + 6*t = b*t + d, -4*t + 4 = 3*a for a.
-4
Let x(l) = 3*l**2 - 41*l + 122. Let n be x(10). Solve -2*v = 9*t - 13*t + n, 5*v + 10 = 0 for t.
2
Suppose 0 = 4*o - g + 14, 5*g + 4 = 3*o + 6. Let a be -9 - (-12 + o) - (-1 + 6). Solve -v - 1 = 2*c - a*v, -v + 4 = c for c.
1
Suppose 0 = z + 3*d + 10, 5*z - 4*d + 4 = -8. Let t be (7 - 5)/(z/(-58)). Solve 0 = -4*k - 20, 4*r = -2*k - t + 3 for r.
-4
Let n = 38225 + -38221. Solve 5*i + n*r + 21 = 0, 5*r = 13 - 33 for i.
-1
Let r = 198 - 191. Suppose -2*h = r*h - 117. Solve -4*y + 3*v - h = 0, 8 = 3*y - 2*y + 3*v for y.
-1
Let y be 38/10 + (-11)/(-55). Suppose 5*g + 5 = y*w - 1, -w = -4*g - 7. Let s be (3 + -5)/(g/3). Solve -s*l - 2*l - 17 = -2*p, l = -2*p - 13 for p.
-4
Suppose 5*a + 52 = 5*w + 9*a, 0 = -2*a + 6. Suppose 71 = w*h + 55. Solve -2 = -n, 4*n = -h*q + n for q.
-3
Let i(d) be the first derivative of -d**3/3 - 2*d**2 + d - 5. Let n be i(-4). Let y = 4530 - 4526. Solve -j + n = z, -2*z + 3 = y*j - 9 for j.
5
Let b = 4454 - 4449. Solve -2*x - 5*o = -10, 9*o = 5*x + b*o + 41 for x.
-5
Suppose 5*t - 4*t + o = 119, 4*o - 12 = 0. Let v = t - 112. Suppose 0*h + 18 = v*h - 2*u, -2*u + 2 = 0. Solve 3*x + 2*x + h*g = -20, -11 = 5*x - 4*g for x.
-3
Let h = -12064 + 12098. Solve -a = 52*f - 47*f + 10, -h = -5*a + 3*f for a.
5
Suppose 360*y - 364*y = -16. Let q be (5 - 1) + -1 + y/2. Let j = -12 - -16. Solve -h + q*t = 16, 2*h + 5*t = j*t + 1 for h.
-1
Let f(h) = -h**3 - 10*h**2 + 31. Let q(r) = -2*r**2 + 16*r + 30. Let t be q(-2). Let k be f(t). Solve -2*n - 2*n - 5*g = -k, n = g + 1 for n.
4
Let z = 80 - 85. Let r be z/18*3*-6. Solve 2*v = 5*l - r - 0, -5*v - 28 = 3*l for l.
-1
Let w(k) be the second derivative of -1/6*k**3 - k - 7*k**2 + 0. Let z be w(-16). Solve -z*h + 3*h + 3*l = 5, -2*h - 4*l + 6 = 0 for h.
-1
Suppose -89*h = -87*h - 10. Solve -10*r = a - 9*r + 4, h*a + 3*r + 14 = 0 for a.
-1
Let b(t) = 19 - 34 + 21 + t. Let s be b(-4). Solve -2 = -2*x + 4*l - s*l, -l + 3 = 0 for x.
4
Suppose -5*q = 5*i - 1310, -4*i + 101 = 5*q - 943. Let k = 273 - i. Solve k = -3*z - a, -4 = -4*z - a - 13 for z.
-2
Let m be (140/98)/((-120)/(-504)). Solve 4*p = -j - m, 3*p - 45*j + 48*j = -9 for p.
-1
Let c be ((-165)/440)/((-4)/32). Solve 0 = r + c*v + 10, -r = -14*v + 12*v - 10 for r.
2
Suppose -3*i + 3*p - 1 = 5, 6 = -2*p. Let v be 5 - i*(-3)/15. Solve 2*h - 1 = -3*q + v, -3*h - 1 = -4*q for h.
1
Let n be ((((-15)/(-3))/15)/(-1))/((-1)/24). Solve -2 = 4*g + u - n, -u = -2*g for g.
1
Let g(q) = -2*q**3 - 35*q**2 - 23*q - 92. Let l be g(-17). Suppose 11*x = -5*f + 8*x, l = -5*f - 5*x. Solve -2*i - 1 = 4*h - 9, 2 = f*i + h for i.
0
Let t(m) = m**3 - 3*m**2 + 3*m. Let k be t(2). Suppose -4 = 3*u - k*u. Let x be (u/6)/(12/(-198)). Solve g - x = -j - g, j - 5*g + 17 = 0 for j.
3
Let g(m) = 0*m - 769 + 682 + m + 3*m. Let z be g(23). Solve z*o + 3*u + 13 = 0, 3*u - 3 - 9 = 0 for o.
-5
Let f be 2/(-1) + 4*(-4 + 5). Suppose 0*p = -p + 2*m - 10, -3*p + f*m = 10. Solve p*r - r = -4*t + 9, -21 = -2*r - 5*t for r.
3
Let l = -152 + 171. Suppose -5*g + 12 = 2*t, l*g - 15*g - 30 = -5*t. Let b = 8 + -5. Solve -b*c + y + 2*y = -t, c + 1 = 4*y for c.
3
Suppose -4*x - q = -9, 0 = -x - 3*q + 78 - 73. Solve x*k - s = -13, 13*k - s = 14*k + 2 for k.
-5
Let t = -29983 - -29988. Solve -2*c + 5*a = 2*c, 0 = -t*c + a for c.
0
Let f(n) = n**3 + 8*n**2 - 56*n - 329. Let h be f(-5). Solve -2*c - 5*q = -h, 6*q = 5*c + 4*q - 7 for c.
3
Let c be 1/((-14)/6 - -2). Let k(v) = -12*v - 4. Let a be k(c). Let z = 158267 - 158260. Solve 2*b = -z*q + 2*q - 23, 0 = -5*b - 4*q - a for b.
-4
Let t(d) = -d**3 + 15*d**2 - 20*d + 7. Let z be t(13). Suppose 12*v = -37 + z. Solve 0*g - g + v = -w, w - 12 = -3*g for w.
0
Let d be 1*((9 - 5) + -2). Suppose 0 = d*g + 5*q - 30 + 24, -q - 3 = -g. Solve 0 = t - g*o - 4, 8 = 3*t - 5*o for t.
1
Suppose 26*n + 2*n - 272 = -6*n. Let g be 66/8 + (-9)/36. Let t(i) = i**3 - 9*i**2 + 10*i - 4. Let l be t(g). Solve -3*w - n = w, -w = 5*k + l for k.
-2
Suppose 23*o - 198 + 106 = 0. Solve v + 20 = 5*s, -3*s - o = -4*s for v.
0
Let j = 152 + -149. Suppose -1030*c + 1038*c = 24. Suppose 4*w - 1 = 2*m + 5, -5*w = -4*m. Solve -l + 0*l + 5*f = -m, 5*l - j = c*f for l.
0
Suppose -3*l + 7*p = 11*p - 2, -3*l = -p - 7. Suppose -16 = l*z - 18*z. Solve -2*x - 3*o + 0 = -z, o + 1 = -2*x for x.
-1
Let b be (-2 + -1)/((-12)/32). Suppose 9 = -b*w + 73. Suppose 3*q - w - 7 = 0. Solve -5*c + 5*d = -15, -3*d - q = -4*c + 2 for c.
-2
Let n(w) be the first derivative of -7*w**2/2 - 91*w - 35. Let u be n(-13). Solve y + 4*g = -14, u = 5*y + 3*g + 22 - 3 for y.
-2
Let w = 19638 - 19634. Solve -m - 2*k = 11, k + 18 - 26 = w*m for m.
-3
Suppose -679*f = -693*f + 420. Solve -2*y = 5*d - 17, 35*d + y - 16 = f*d for d.
3
Let b = 120 - 129. Let m(n) = -n**2 - 10*n - 13. Let i be m(b). Let t be (-2 + (-39)/3)*i/10. Solve 2*k + t = -2*j, -2*j - 3 = -3*k + 2*k for k.
-1
Let k = 513 + -499. Suppose -16 = -k*u + 12. Solve 4*l = h + u + 8, -2*h + 13 = 3*l for l.
3
Suppose 4*v + 16 - 32 = 0. Suppose 5*h = -h + v*h. Solve -4 = -2*r + c, h = 3*r + 2*r - c - 16 for r.
4
Let w(i) = 469*i - 3244. Let k be w(7). Solve -5*y - p = -11 + k, -p = y + 8 for y.
-5
Suppose 10*x = 9*x + 4. Let n(o) = 3*o**2 - 17*o + 22. Let t be n(x). Solve -4*s = -4*f + 8, -t*f - 6 + 1 = -5*s for f.
5
Let f be 84/56 - 148/(-8). Solve 3*z + 11*v + f = 6*v, 3*z - 3*v = -12 for z.
-5
Suppose -273 = -18*i + 69. Solve 3*a - i = 4*n, -2*a = 2*n - 9 + 1 for n.
-1
Let j(c) = 2*c**2 + 2*c - 1. Let u be j(-9). Suppose -186 = -47*p + u. Solve 3*k + p = -w + 21, 2*k + w - 11 = 0 for k.
3
Let y = 31 + 8. Suppose -5*m = -n - y, 3 = -m + 6. Let f be n/9 + 3 - 5/15. Solve -j + 2*t + 1 = 3*t, 4*t - 4 = f for j.
0
Suppose -2*b - 36 = -88. Suppose -4*p = 2*a - 6, 0 = 2*p + 5*a + b - 9. Solve -p*k - 19 = 2*j + k, j = 4*k + 23 for j.
3
Let b = -87 + 80. Let u be b/35 + (-1)/(-5). Suppose 7*l - 2*l - 45 = u. Solve -a + 4*d + l = 2*a, d = a - 2 for a.
-1
Let y
|
{
"pile_set_name": "DM Mathematics"
}
|
(-3796)/1825 - -2*1.
-2/25
(-5*(-5)/75)/(-2*(-14)/504)
6
What is the value of (-10)/4*((-10)/125)/((-12)/(-15))?
1/4
What is 3*(-14 - (-259)/111)?
-35
Evaluate (-889)/920115 - (-2)/(-46).
-2/45
Calculate 11/1 + 7153/(-622).
-1/2
(-270)/225 + (-79)/15*3
-17
Calculate (-4)/114*-3 + ((-744)/2736 - 0).
-1/6
Evaluate ((-1420)/(-75) + -19)*(-15)/6.
1/6
Calculate ((-1975)/150 - 1/12) + 13.
-1/4
Calculate (-19712)/52360 - -1*(-2)/(-10).
-3/17
What is the value of (3 + 180/(-100))/((-26)/(-5))?
3/13
What is the value of ((-104)/39 + 0)*(-3)/2?
4
((-255)/(-425))/((-6)/35)
-7/2
What is the value of (-4)/(-8)*(-16)/200*20?
-4/5
What is the value of ((-380)/(-133))/((-39)/(-210) + 5/50)?
10
(2/(-12))/((-2)/8) - (-4)/21
6/7
Calculate ((-25)/20)/((-145)/(-20) + -7) + 10.
5
What is the value of (-1 - 2) + ((-120)/(-140))/(2/28)?
9
Evaluate (-8)/(9 + 1 - 8).
-4
Calculate 88/816 + 10/(-60).
-1/17
Evaluate (1025/(-50) - -22)/(54/(-8)).
-2/9
Evaluate 7*((-13 - 4) + 16).
-7
(-1058)/57661 - 652/109
-6
39116/(-2156) - (2/(-14) - 1)
-17
What is the value of 1 + -15 + 5 - (13 - (0 - 4))?
-26
Evaluate (88/24 + -6)/(14/(-6)).
1
Calculate (38/(-20) - -1)*(-44)/(-495).
-2/25
(-2)/((-36)/303) + (-12189)/717
-1/6
What is the value of ((8/(-16))/(15/10))/((-1)/(-6))?
-2
What is ((-18)/(-8))/(62/248)?
9
(-110)/154*-18 - 3*(-4)/(-14)
12
What is (-2)/(-60) + (11/(-6) - (-45)/30)?
-3/10
Calculate -28 + 10 + (-1134)/(-42).
9
Evaluate -99 + 75 + (7 - 2 - 1) + 3.
-17
Evaluate (-1)/(-6) + (30/(-20) - -2) - 1.
-1/3
Calculate (-2)/(-5)*(44 + (-12088)/272).
-3/17
Calculate -10 - -9 - (33 - 13).
-21
What is the value of 2*(-2)/(-6)*-3 + (-108)/(-57)?
-2/19
Evaluate (-111)/(-74)*((-15)/(-9) - -1).
4
What is the value of (-144)/(-4104) + (-91)/969?
-1/17
Calculate 0 + (-3)/(-5) + ((-42672)/(-4080) - 11).
1/17
Calculate (-935)/68 + 2/(4/30).
5/4
Calculate (-2)/((-45)/(-33) + 5 + -6) - -6.
1/2
Calculate -12 + -5 + (1/4 + 0)*0.
-17
What is (-3)/5 + 21036/2460 + -8?
-2/41
(-13)/65*10/38
-1/19
What is the value of -1*23/(-5) - (-22 + -23 - -50)?
-2/5
14 + (23 - 1200/32)
-1/2
(52/455*-77)/(8/20)
-22
Evaluate 221/13 + 2562/(-147).
-3/7
Calculate 20/115 + 83592/4968.
17
((-30)/14 - 7) + (-24)/28
-10
117/36*2232/13299
6/11
What is (-9 + (-232)/(-24))*-6?
-4
What is -10 + 68/6 + 104/(-60)?
-2/5
Evaluate ((-134)/(-4) - -5)*(136/(-14))/(-17).
22
(34 - 36)/((11 - 2)*(20 + -21))
2/9
-9*((-176)/(-48) + -3) - -5
-1
Evaluate (13 + 377/(-26))/((-63)/(-12)).
-2/7
Evaluate 28/(-96)*-2 - 4/16.
1/3
What is (9996/(-91))/12 - 18/(-117)?
-9
What is ((-16)/(-7))/(((-624)/168)/26)?
-16
What is the value of (18/8)/((-1089)/(-132))?
3/11
(-8)/24*(-167 - -146)
7
What is the value of (-27)/(-15) - 15158/(-2915)?
7
(-39942)/15216*5/((-10)/16)
21
Calculate -6 + (-2)/(5 - (-504)/(-104)).
-19
What is the value of (3 - 19/(-15)*-3)*765/1734?
-6/17
What is (15/5)/((-10)/(-60)*-1)?
-18
Evaluate (-7 - 5) + 24 + 1 - -8.
21
(231/847)/((-15)/(-66))
6/5
Calculate 1 - ((-8)/2)/(7/(-35)).
-19
Evaluate 17314/71617 - (-4)/(-78).
4/21
What is the value of ((-366)/(-36))/61*(-6)/9?
-1/9
Evaluate 15/21 + (-222)/(-740) + 1167/(-840).
-3/8
-6 + (-686)/(-182) - 14 - -16
-3/13
What is the value of 8/12 - (-280)/(-390)?
-2/39
Evaluate (-36)/42 + 1 - (-165)/(-77).
-2
What is the value of (-5 + (110/75)/(2/5))*6?
-8
What is -3 + 9 + ((-4)/(-152))/((-1)/226)?
1/19
(0 - 3*6/(-24))*-20*-1
15
What is the value of ((-3)/(-2))/((-201)/(-52) + 855/(-228))?
13
What is 88/(-16)*((-20)/(-935))/(-1)?
2/17
Calculate (-5775)/(-341) + (-16)/(-248).
17
Evaluate 1544/312 - (-95)/(-19).
-2/39
What is the value of (1*2/10)/(5401/(-2455))?
-1/11
What is the value of (325/(-650))/((-44)/16)?
2/11
(-9 + 234/30)*(-5 - 60/18)
10
(18/(-189))/((-10)/150)
10/7
10/(-95) + 358/152
9/4
Evaluate (2/(-4))/(15 + (-598)/40).
-10
Evaluate (-903)/210*-5 - (-44)/(-8).
16
Calculate (-2)/(-4) - 2898/6804.
2/27
What is 3*(-1375)/2025 - (1 - 3)?
-1/27
What is the value of (-5)/(-3) + (1156/(-51))/(-68)?
2
What is 5904/(-10824) - (0 - 212/(-55))?
-22/5
(-16590)/(-1260) + 2/(-12)
13
What is ((-6)/(-16))/((-12 - 21)/11)?
-1/8
Calculate (-2346)/1980 - 16/1056.
-6/5
What is 19/(-14)*42/(-12) - 5?
-1/4
Calculate (-136)/(-612)*63/56.
1/4
Calculate -8 - ((-225)/(-825))/(3/(-86)).
-2/11
(-5 - (-1513)/306)/(3/(-171))*-6
-19
What is the value of -21 + -2 + ((-28)/16)/(1/(-4))?
-16
Evaluate (-736)/3496*38/(-12).
2/3
Evaluate ((-276)/48)/(-23)*(0 + -36).
-9
Calculate (-47 - -50)*(-1)/7.
-3/7
Calculate (3 - (-8)/(-3))*(-11 + 50/4).
1/2
What is the value of (-15)/((-27090)/(-12))*7?
-2/43
What is the value of 13/((-2)/(-7) + (-15)/(-21))?
13
Evaluate 18/(-7)*(-38)/10716*-94.
-6/7
735/(-210) + 42/(-4)
-14
((-17)/(-238))/((-30)/35)
-1/12
Evaluate 25 + (-1 - -14 - 27).
11
What is the value of (-192)/27 - (296/(-72) - -4)?
-7
What is 61/42 - (-7)/(-6)?
2/7
What is 51/(-238) - 8/(-70)?
-1/10
What is the value of (30/36 + 0/(-18))/(-5)?
-1/6
(120/576)/(65/(-117))
-3/8
What is the value of 588/66 - ((24 - 29) + (1 - -13))?
-1/11
What is (-1165)/932 - 63/(-44)?
2/11
Evaluate 35 - 36/(-24)*-24.
-1
What is the value of (-15)/(-65) - ((-7518)/(-39))/(-14)?
14
((-396)/27 - -8)/(-12)
5/9
Evaluate -4 - 70/(-21) - 8/(-10).
2/15
Evaluate (-1 + (-14)/10)*(-330)/(-99).
-8
What is the value of (-115)/(-92) - (-444)/144?
13/3
What is (-8)/(-18)*(112/(-128))/(13/(-468))?
14
What is 4*(-2006)/(-1020) + 0 + -8?
-2/15
What is (-5 + 23/(-3) - -6)*60/520?
-10/13
What is the value of (1/4)/((-90)/3195) + 9?
1/8
Evaluate (0 + 9/60)*9*(-32)/432.
-1/10
Evaluate ((-16)/42)/(16/(-816)*17).
8/7
What is (-14)/(-63)*(-1)/(-2) + (-255)/(-135)?
2
What is the value of (-200)/(-35) + (-4*12/(-21) - 2)?
6
((-98)/(-7))/(-56)*24/(-21)
2/7
(-8)/(-3)*(-2)/(16 - 20)
4/3
5/(-6) + (-158)/12 + (148 - 158)
-24
What is (9/70)/(1083/2527)?
3/10
-6 - (-2 - (3 + 7/((-14)/16)))
-9
What is the value of (-5 - (-7 - 2)) + (32 - 51)?
-15
(-29)/((-2784)/168) + (-10)/4
-3/4
Calculate 5 - 13 - ((-6 - (-1 - 6)) + 0).
-9
(11 - (-6 - -11))*(-2)/6
-2
2256/2961 - 2/(-3)
10/7
Evaluate 1*(-2 - -2) - (-94)/(131036/(-246)).
-3/17
What is the value of 3/3*(-10)/30*18?
-6
Calculate ((-12)/3)/(18 - 20).
2
(48/20 - 3)/(43/(4300/(-75)))
4/5
(-1147)/111 + (-4)/(-3)
-9
What is the value of ((-2)/7 - 218/(-28))*2?
15
Calculate -39 - (-7*(-96)/(-112) + 3).
-36
What is 2/4*(-51)/51?
-1/2
Calculate 14 + (-27 - 14/(-7)).
-11
(-2)/(-50) + 22792/12950
9/5
What is the value of ((-3)/2)/(-11 - 975/(-90))?
9
Calculate (4460/(-400) + 12)*4.
17/5
Evaluate 5*(-6)/90*36.
-12
Calculate (-99)/(-7) - 884/68.
8/7
Calculate 84 - 79 - (5 - 3).
3
What is -6 + -2 + 6 - (-255)/90?
5/6
((-39)/(-52) - 2)*4
-5
32/(-464) + (-145)/10092
-1/12
Evaluate 2 + 1 - ((-238)/(-17) - 2).
-9
What is the value of (540/(-27))/(15/2)?
-8/3
29/5 + (-6)/(-30)
6
What is the value of 104/286 + (-1404)/(-132)?
11
What is the value of -9 - (-2595)/260 - 39/52?
3/13
What is 6/(-84) + 195/(-14)?
-14
What is (-5 - -6)/((-30)/154 + 4/14)?
11
Evaluate (-129)/(-33) + 168/1848.
4
What is the value of 4*(2418/(-104))/(-31)?
3
What is (-450)/(-99) - 84/154?
4
Calculate 247/(-70) + (-804)/11256.
-18/5
Calculate -19 + (-20241)/(-1092) - (-3)/4.
2/7
What is 20/12*6/(-5) - -8?
6
What is the value of (-680)/84 - -8 - (-3)/(-189)?
-1/9
What is the value of (-3 + 6/3)/(25/200)?
-8
7*5 - (30 + (-42 - -13))
34
What is the value of ((-884)/153 - -6)/(2/(-4))?
-4/9
Calculate (322/(-56) - -6) + (-159)/12.
-13
Evaluate (3/(-4))/1 + (26 - 364/14).
-3/4
Evaluate (-41 - (-737)/22)*-1*4/(-10).
-3
What is the value of 36/16 + (-17)/4 + (-17 - -20)?
1
What is (-1)/23*(4 - -12 - (35 + -15))?
4/23
What is the value of (1566/870)/((-9)/(-6))?
6/5
1368/5225 - (6 - 896/154)
2/25
Evaluate ((18/(-8))/((-309)/(-206)))/(5 - -1).
-1/4
Calculate 13 + 945/(-72) + (45/(-24))/1.
-2
What is 104/(-468) - 7/9?
-1
What is (124/(-28) - -5) + (-2 - 247/(-168))?
1/24
What is the value of (-126)/(-16) - (684/(-96) + 7)?
8
(-1)/11 - (-16)/(-66)*111
-27
What is the value of (-1 + -4 + 2)/(((-722)/(-57))/38)?
-9
Evaluate ((-378113)/(-5253) - 72)*(1*-1 + -8).
3/17
What is the value of (-15 + 20)/((-76)/(-304))?
20
Evaluate ((-8)/3)/(21/((-441)/(-14))).
-4
Evaluate (10/((-320)/(-72)) - 0)*32/12.
6
Evaluate (-9635)/(-2350) + 2/(-20).
4
(((3 - 4)/2)/1)/(-121 + 113)
1/16
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from {u: 11, g: 5}.
1/56
What is prob of sequence xkku when four letters picked without replacement from akuuuxuk?
1/210
What is prob of sequence hh when two letters picked without replacement from nheehencnhcc?
1/22
Two letters picked without replacement from {x: 5, a: 1, s: 2, p: 1, v: 2, n: 4}. Give prob of sequence vx.
1/21
What is prob of sequence eje when three letters picked without replacement from {y: 2, q: 6, e: 4, a: 2, i: 2, j: 1}?
1/340
What is prob of sequence bww when three letters picked without replacement from kkkyykkwwwkxwby?
2/455
Two letters picked without replacement from {y: 7}. What is prob of sequence yy?
1
Calculate prob of sequence pu when two letters picked without replacement from {i: 1, u: 1, p: 4, x: 2}.
1/14
What is prob of sequence pkgk when four letters picked without replacement from pgkgk?
1/30
Four letters picked without replacement from drurruj. Give prob of sequence rrru.
1/70
Three letters picked without replacement from {t: 4}. Give prob of sequence ttt.
1
Calculate prob of sequence bd when two letters picked without replacement from {d: 2, b: 8, q: 4}.
8/91
Calculate prob of sequence fhhf when four letters picked without replacement from {z: 1, f: 7, h: 10}.
7/136
Calculate prob of sequence po when two letters picked without replacement from {p: 1, o: 11}.
1/12
What is prob of sequence qvq when three letters picked without replacement from {v: 3, p: 1, w: 3, q: 8, r: 3}?
7/204
Two letters picked without replacement from {n: 2, r: 1}. Give prob of sequence rn.
1/3
What is prob of sequence annn when four letters picked without replacement from {a: 13, n: 3}?
1/560
What is prob of sequence qc when two letters picked without replacement from {c: 1, u: 1, q: 2}?
1/6
Calculate prob of sequence gg when two letters picked without replacement from {g: 13, t: 6}.
26/57
Calculate prob of sequence jr when two letters picked without replacement from {t: 2, r: 4, g: 1, j: 1, m: 3}.
2/55
Four letters picked without replacement from {v: 1, h: 7, o: 6}. Give prob of sequence hvho.
3/286
Three letters picked without replacement from apnnpnn. Give prob of sequence npa.
4/105
What is prob of sequence qmsk when four letters picked without replacement from qsksmhl?
1/420
Calculate prob of sequence qnq when three letters picked without replacement from gmqqcmnqngqm.
1/55
Calculate prob of sequence xjt when three letters picked without replacement from xjjtjjjjgtjgxjgtbggx.
1/95
Two letters picked without replacement from {l: 1, c: 2, p: 1, s: 1, m: 1, w: 1}. What is prob of sequence cl?
1/21
Three letters picked without replacement from ddtkdgttkt. Give prob of sequence tkg.
1/90
What is prob of sequence rrww when four letters picked without replacement from {r: 6, w: 2}?
1/28
Calculate prob of sequence tzzm when four letters picked without replacement from yhhzhrzzttzyzhztmz.
7/4080
Three letters picked without replacement from vyrryv. Give prob of sequence yvv.
1/30
Calculate prob of sequence uec when three letters picked without replacement from {u: 6, e: 1, c: 7}.
1/52
Calculate prob of sequence oc when two letters picked without replacement from ccococooccc.
14/55
Calculate prob of sequence vvv when three letters picked without replacement from {b: 4, v: 6}.
1/6
Two letters picked without replacement from {a: 1, m: 1, n: 2, j: 3, i: 3}. Give prob of sequence ni.
1/15
Calculate prob of sequence fbte when four letters picked without replacement from teeffttfteeftbll.
1/546
Two letters picked without replacement from {r: 7, i: 5}. Give prob of sequence ir.
35/132
Calculate prob of sequence iabi when four letters picked without replacement from bzibzbzbzbzazbipaa.
1/2040
Two letters picked without replacement from {o: 1, h: 1, d: 1, r: 2, w: 8, k: 2}. What is prob of sequence hd?
1/210
Calculate prob of sequence beb when three letters picked without replacement from {e: 2, i: 3, b: 5}.
1/18
Three letters picked without replacement from nugtnumunugc. What is prob of sequence ncg?
1/220
Calculate prob of sequence gdg when three letters picked without replacement from gqdqqqdggqqqqdgqd.
1/85
Two letters picked without replacement from {n: 1, u: 1, i: 2, g: 2, e: 4}. What is prob of sequence ii?
1/45
Two letters picked without replacement from lxxoylylxxrx. Give prob of sequence lo.
1/44
Calculate prob of sequence qv when two letters picked without replacement from vgvrqqvvgmq.
6/55
What is prob of sequence pcb when three letters picked without replacement from {y: 3, c: 1, p: 1, l: 5, b: 4}?
1/546
Two letters picked without replacement from vbgzggzggvgvvbvggvv. What is prob of sequence zz?
1/171
Two letters picked without replacement from {g: 3, h: 8}. Give prob of sequence hh.
28/55
Calculate prob of sequence hi when two letters picked without replacement from wiwiwiihiihwwiii.
3/40
Two letters picked without replacement from nddndddddddddndnddd. What is prob of sequence dd?
35/57
What is prob of sequence bf when two letters picked without replacement from {k: 1, e: 1, j: 5, b: 1, f: 2, l: 7}?
1/136
Calculate prob of sequence nni when three letters picked without replacement from {o: 1, i: 1, n: 9}.
4/55
What is prob of sequence rzrz when four letters picked without replacement from {z: 6, r: 2}?
1/28
Three letters picked without replacement from {e: 2, m: 3, a: 1, y: 1, b: 3, q: 2}. Give prob of sequence meq.
1/110
Four letters picked without replacement from {g: 1, p: 2, e: 5, x: 10, m: 2}. Give prob of sequence exeg.
5/2907
Two letters picked without replacement from sosssssososssosssso. What is prob of sequence ss?
91/171
Two letters picked without replacement from {f: 4, j: 6, u: 1, p: 2}. Give prob of sequence jp.
1/13
Calculate prob of sequence pv when two letters picked without replacement from {r: 1, t: 1, p: 5, v: 7}.
5/26
Three letters picked without replacement from {s: 2, t: 4}. Give prob of sequence sts.
1/15
What is prob of sequence qq when two letters picked without replacement from {j: 3, q: 3}?
1/5
Four letters picked without replacement from rerbbruzrrrrzb. Give prob of sequence zbue.
1/4004
Calculate prob of sequence aa when two letters picked without replacement from rkrraarrrrrrrrkrrrra.
3/190
Two letters picked without replacement from {e: 1, m: 1, q: 2, r: 1}. Give prob of sequence em.
1/20
Three letters picked without replacement from {s: 8, r: 5}. Give prob of sequence sss.
28/143
Two letters picked without replacement from {d: 2, a: 4, x: 1, j: 7}. What is prob of sequence jj?
3/13
Four letters picked without replacement from vvvvgvvvvvvvvvvvvgv. Give prob of sequence vgvv.
5/57
Three letters picked without replacement from gllllllllllllll. Give prob of sequence gll.
1/15
Three letters picked without replacement from rrrmrrrrrrrrr. Give prob of sequence rrr.
10/13
Calculate prob of sequence pl when two letters picked without replacement from plljl.
3/20
Three letters picked without replacement from {f: 1, z: 5, p: 2, q: 2, g: 8, o: 2}. Give prob of sequence pzf.
1/684
Two letters picked without replacement from xtxixtxtxtxittxxxt. What is prob of sequence tt?
7/51
What is prob of sequence he when two letters picked without replacement from {h: 1, f: 1, c: 1, e: 2, q: 2, w: 1}?
1/28
What is prob of sequence qha when three letters picked without replacement from mqsah?
1/60
Two letters picked without replacement from {u: 11, s: 2}. What is prob of sequence us?
11/78
Three letters picked without replacement from dswswswwwwswuwwww. Give prob of sequence uww.
11/408
Calculate prob of sequence wiw when three letters picked without replacement from wiwiiiiwiinwiiiwiiww.
7/95
Three letters picked without replacement from iiiiiiiiiiiiiiisiiii. What is prob of sequence sii?
1/20
Calculate prob of sequence qqvv when four letters picked without replacement from vqqvqqqvqq.
1/20
What is prob of sequence cuuc when four letters picked without replacement from {u: 2, c: 8}?
1/45
Three letters picked without replacement from ipspfcs. Give prob of sequence fsp.
2/105
What is prob of sequence ctf when three letters picked without replacement from {c: 6, t: 1, l: 2, p: 2, f: 3, d: 5}?
1/323
Two letters picked without replacement from zgzgggggzzgzgg. Give prob of sequence zz.
10/
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 9*v**3 - 8*v**3.
v**3
Collect the terms in -4 - 3*z + 4.
-3*z
Collect the terms in -5*z - 141 - 134 + 275.
-5*z
Collect the terms in 14*q - 3*q**3 - 14*q + q**3.
-2*q**3
Collect the terms in -39*z - 39*z - 2 + 36*z - 52*z.
-94*z - 2
Collect the terms in -3*x**3 + 1405*x**2 - 1405*x**2.
-3*x**3
Collect the terms in 8*p**2 - 13*p**2 + 13*p**2.
8*p**2
Collect the terms in 582 - 6*g**3 - 582.
-6*g**3
Collect the terms in -2*a - 77 - 77 + 154.
-2*a
Collect the terms in 6*z - 5*z - 10*z - 8*z.
-17*z
Collect the terms in -69*w + 69*w - 38*w**2 + 28*w**2.
-10*w**2
Collect the terms in -6*d**2 - 16*d**2 + 3*d**2 + d**2.
-18*d**2
Collect the terms in -120*z + 56*z + 56*z.
-8*z
Collect the terms in -10*x - 105 + 105.
-10*x
Collect the terms in -1209*h - 1200*h + 2435*h.
26*h
Collect the terms in -n - 211440 + 211440.
-n
Collect the terms in -3 + 60 - 3*c + 6*c.
3*c + 57
Collect the terms in 92*r**3 - 281*r**3 + 91*r**3 + 100*r**3.
2*r**3
Collect the terms in 5230 + 3*l**2 - 5230.
3*l**2
Collect the terms in 3*z**2 - 7*z - 97*z + 104*z.
3*z**2
Collect the terms in 3*i**3 - 4*i**3 - 10*i**3.
-11*i**3
Collect the terms in 5*f + 2*f - 3*f.
4*f
Collect the terms in -10*h + 7*h - 1 + 1.
-3*h
Collect the terms in -89*y**2 - 71*y**2 + 15*y**2.
-145*y**2
Collect the terms in 49*c - 4*c - 41*c.
4*c
Collect the terms in -9*t**2 + 80098 - 80098.
-9*t**2
Collect the terms in -11 + 72*x**3 - 33*x**3 + 40*x**3 + 13.
79*x**3 + 2
Collect the terms in -32*m**2 + 72*m**2 - 37*m**2.
3*m**2
Collect the terms in -228*n + 228*n - 91145*n**3 + 91147*n**3.
2*n**3
Collect the terms in -87*i + 46*i + 43*i.
2*i
Collect the terms in 0*n + 9*n - 6*n + 6*n.
9*n
Collect the terms in -6*k**2 - 13*k**2 + 34*k**2 + 29*k**2.
44*k**2
Collect the terms in 4*x**2 - 120*x + 120*x.
4*x**2
Collect the terms in -98 - 93 + 191 + 3*j**3.
3*j**3
Collect the terms in 2*p**2 - 76 + 76.
2*p**2
Collect the terms in -162*b**2 - 113*b**2 + 276*b**2.
b**2
Collect the terms in -2*b - 6*b**2 + 24*b - 22*b.
-6*b**2
Collect the terms in 12 - 23 + 11 - 17*y.
-17*y
Collect the terms in -1 - 4*g + 1 - 3*g.
-7*g
Collect the terms in -4 - 3 + 7 - p**2.
-p**2
Collect the terms in -148*s**2 + 298*s**2 - s**3 - 150*s**2.
-s**3
Collect the terms in 413 + 174 + 5*i - 7*i.
-2*i + 587
Collect the terms in -7 + 2 + 5*s**2 + 8 + s**2.
6*s**2 + 3
Collect the terms in 5*b - 5*b - 3*b - 4 - 2*b.
-5*b - 4
Collect the terms in -a + 3*a + 2*a - 6*a.
-2*a
Collect the terms in 18*v + 24*v - 70*v + 26*v.
-2*v
Collect the terms in 64*i**2 + 114*i**2 + 46*i**2.
224*i**2
Collect the terms in -5*g**3 - 177*g + 177*g.
-5*g**3
Collect the terms in -10*k + 4 - 2 + 0.
-10*k + 2
Collect the terms in -7 - 140*j**3 + 53*j**3 + 1.
-87*j**3 - 6
Collect the terms in 8*g**3 - 16 + 16.
8*g**3
Collect the terms in 209651*k + 3*k**2 + 0*k**2 - 209651*k.
3*k**2
Collect the terms in 30*w**3 + 47*w**2 - 87*w**2 - 5*w**3 + 41*w**2.
25*w**3 + w**2
Collect the terms in 17110*j - 3*j**2 - 17110*j.
-3*j**2
Collect the terms in -5*o**2 - 14*o**3 - 6*o**2 + 4*o**3 + 2*o**3.
-8*o**3 - 11*o**2
Collect the terms in 4*j**2 - 4*j**2 - 1669*j**3 + 1662*j**3.
-7*j**3
Collect the terms in 9*p**2 + 27*p**2 - 47*p**2 + 28*p**2.
17*p**2
Collect the terms in 6 - 3 + 1 + 101*w - 116*w.
-15*w + 4
Collect the terms in -21*v**2 + 87*v**2 - 66*v**2 + 2*v**3.
2*v**3
Collect the terms in 19*v + 26141 - 26141.
19*v
Collect the terms in 30*h**2 + 29*h**2 - 56*h**2.
3*h**2
Collect the terms in 24*n**3 + 35*n**3 - 82*n**3.
-23*n**3
Collect the terms in 22*z - 8*z - 15*z.
-z
Collect the terms in 10*c**2 + 12*c**2 - 29*c**2 + 8*c**2.
c**2
Collect the terms in 4*j**3 + 23*j**3 + 4*j**3 + 3*j**3.
34*j**3
Collect the terms in 63*m**2 - 54*m**2 - 143*m**2 - 43*m**2.
-177*m**2
Collect the terms in -83*q**2 + 43*q**2 + 26*q**2.
-14*q**2
Collect the terms in 36*z - 36*z - 2 + 22*z**2.
22*z**2 - 2
Collect the terms in -15*v**3 + 17*v**3 + 25*v**3 + 28*v**3.
55*v**3
Collect the terms in -27*z**2 - 28*z**2 + 54*z**2.
-z**2
Collect the terms in 5 + 8 - 13 - 14*r**3.
-14*r**3
Collect the terms in -117 + 3*l + l - 3*l - 5*l.
-4*l - 117
Collect the terms in 29*w**3 - 13*w**3 - 14*w**3.
2*w**3
Collect the terms in -2*d + d + 13 + 0*d + 0*d.
-d + 13
Collect the terms in -6*f**3 + 11*f**3 + 30*f**3.
35*f**3
Collect the terms in -7*y**2 - 4*y**3 + 271 - 271.
-4*y**3 - 7*y**2
Collect the terms in -4*r**3 + 29*r + 29*r - 60*r.
-4*r**3 - 2*r
Collect the terms in -2 + 12*s**2 - 19*s**2 - 7*s**2.
-14*s**2 - 2
Collect the terms in -2*a - 3*a - 9*a + 16*a.
2*a
Collect the terms in 27*p**3 - 193 + 193.
27*p**3
Collect the terms in -6*w + 4*w - 17 - 29.
-2*w - 46
Collect the terms in -1427*k**3 + 2855*k**3 - 1431*k**3.
-3*k**3
Collect the terms in 801 - 801 + 3*a**3.
3*a**3
Collect the terms in 38 - 35 + 114 + i.
i + 117
Collect the terms in 5*r**2 + 19*r**2 + 28*r**2 + 23*r**2.
75*r**2
Collect the terms in -2*u**2 + 2*u**2 - 4276*u**3 + 4274*u**3.
-2*u**3
Collect the terms in -q**2 + 25*q - 25*q + 14*q**2.
13*q**2
Collect the terms in -t - 8*t - 5*t + 10*t.
-4*t
Collect the terms in 28*x**2 + 133*x**2 - 163*x**2.
-2*x**2
Collect the terms in 35 - g**2 - 13 - 22.
-g**2
Collect the terms in -2*l**3 - 11*l**3 - 93*l + 93*l.
-13*l**3
Collect the terms in 2*s**2 + 0*s**2 + 86*s + 7*s.
2*s**2 + 93*s
Collect the terms in -6*t**2 - 6*t**2 - 4*t**2.
-16*t**2
Collect the terms in -1006*u - 2277*u - 2*u**2 + 273*u.
-2*u**2 - 3010*u
Collect the terms in 0*k - 8*k + 4*k**3 - 3*k**3 + 0*k.
k**3 - 8*k
Collect the terms in -25*h + 38*h + 48*h.
61*h
Collect the terms in i**2 - 38 - 36 + 74.
i**2
Collect the terms in -89*o**3 - 38*o + 38*o.
-89*o**3
Collect the terms in 83*o - 25*o - 32*o - 30*o.
-4*o
Collect the terms in -89*y - 89*y + 359*y - 89*y - 96*y.
-4*y
Collect the terms in 4 - 4 + 599*f**3 - 596*f**3.
3*f**3
Collect the terms in -13*x**2 + 13*x**2 - 98*x**3.
-98*x**3
Collect the terms in 2 + 10*t**2 + 41*t**2 - 2.
51*t**2
Collect the terms in 6*b - 29 + 29 + 14*b.
20*b
Collect the terms in 44*s**3 + 46*s**3 - 89*s**3.
s**3
Collect the terms in p**2 + 2*p**2 - 8*p**2 + 6*p**2 - 2*p**2.
-p**2
Collect the terms in -72*p**3 - 61*p**3 + 183*p**3 + 171*p**3.
221*p**3
Collect the terms in 0*z**2 + 84*z**3 - 12*z**2 - 80*z**3.
4*z**3 - 12*z**2
Collect the terms in 23*t**2 - 2 + 0 - 15*t**2 + 2.
8*t**2
Collect the terms in -12*m**3 - 3*m**3 - 5*m**3.
-20*m**3
Collect the terms in 2 + 3 - 78*i**3 + 83*i**3.
5*i**3 + 5
Collect the terms in -5*y**2 + 4*y**2 + 22*y**2 - 4*y**2.
17*y**2
Collect the terms in -o + o + o - 3*o.
-2*o
Collect the terms in 167*p**2 - 495*p**2 + 164*p**2 + 2*p**3 + 164*p**2.
2*p**3
Collect the terms in 483*b**3 - 10 + 10.
483*b**3
Collect the terms in 396 + 8*x - 396.
8*x
Collect the terms in 6*q + 3 + 3 - 4 - 2.
6*q
Collect the terms in -19*x**2 + 10 - 12 + 11*x**2 + 2.
-8*x**2
Collect the terms in -2*h**3 + 0*h**3 + 101*h - 205*h + 104*h.
-2*h**3
Collect the terms in 32*r - 4 + 8 - 4.
32*r
Collect the terms in 6*m**2 + 12*m**2 - 8*m**2.
10*m**2
Collect the terms in 6*f**3 + 0*f**3 + f**3 - 2*f**3 - 7*f**3.
-2*f**3
Collect the terms in -4*z**3 - 6*z**2 + 6*z**2.
-4*z**3
Collect the terms in -4*c + 2 - 2.
-4*c
Collect the terms in -67*g - 11*g**2 - 7*g**3 + 67*g + 11*g**2.
-7*g**3
Collect the terms in -357*v - 29 + 29.
-357*v
Collect the terms in -102*q**3 - 3 + 58*q**3 + 2.
-44*q**3 - 1
Collect the terms in -284974*m + 284974*m + 4*m**2.
4*m**2
Collect the terms in -7*s**2 + 6*s**2 - 2*s**2 - 2*s**2.
-5*s**2
Collect the terms in -9*w**3 + 8*w - 8*w - 3*w**2 + 10*w**3.
w**3 - 3*w**2
Collect the terms in 17 + 18 - 5*f**2 + 10 - 1.
-5*f**2 + 44
Collect the terms in 3*q - q - 11*q - 10*q.
-19*q
Collect the terms in -85648*r + 85648*r - 2*r**2.
-2*r**2
Collect the terms in 6*s**3 + 11*s**3 - 2*s**3.
15*s**3
Collect the terms in -15*n**3 + 6*n**3 + 12*n**3 + 8*n**3.
11*n**3
Collect the terms in 2450 - 2450 - 19*c.
-19*c
Collect the terms in 1520*u**3 + 4741*u**3 + 3626*u**3.
9887*u**3
Collect the terms in 6 + 15 - 20 + 2*w - 1.
2*w
Collect the terms in -13 + 13 + 23*p**2.
23*p**2
Collect the terms in -21*l - 2*l**3 - 44*l**2 + 21*l.
-2*l**3 - 44*l**2
Collect the terms in -a**2 - 3*a**2 + 18*a - 18*a + 7*a**2.
3*a**2
Collect the terms in 45*g**3 + 52*g**3 - 107*g**3.
-10*g**3
Collect the terms in -414*m
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*o + 4 + 2, 5*d - 25 = 2*o. Let g be -1 + (-9)/d + 2. What is the third smallest value in 2/5, g, v?
2/5
Suppose -3*q + 20 = -4*x, 4*q + 4*x + 0 = 8. Let w = q - 13/3. Let s be (-2)/5 + (-12)/(-10). Which is the third biggest value? (a) 0.3 (b) s (c) w
c
Let o = 0.5 - 0.8. Let q = 0.1 + o. Let n = 833/6 - 139. Which is the smallest value? (a) q (b) -1/3 (c) n
b
Let i = 8 + -9. Let v be 8 + (0/(-1))/(-2). Let l be (-2)/v + (-1 - -1). What is the second biggest value in 5/2, l, i?
l
Let q = -4 - -4. Let y = q + -0.2. What is the biggest value in 2/9, -0.5, y?
2/9
Let y = 0.3 + -0.7. Let f = -3 + 10. Let v = 11 - f. What is the third biggest value in v, -3, y?
-3
Let u = -0.16 + 5.16. What is the third smallest value in 1, 0, u?
u
Let z = -2/39 - -32/117. Let t be 8/(-3) - (-10 - -7). What is the second smallest value in 3, z, t?
t
Let m = 33/2 + -16. Let x = -14 - -13.8. Which is the biggest value? (a) -0.5 (b) m (c) x
b
Let y be (-4)/(-12) + 177/9. Let l be ((-6)/y)/(18/15). Which is the second smallest value? (a) 0.3 (b) 1 (c) l
a
Let o = 13 - 9. Let x = -5 + o. Suppose -6*s - 20 = -s. Which is the second smallest value? (a) -0.5 (b) x (c) s
b
Let s = 83564 - 14373055/172. Let z = s - -1/43. What is the third biggest value in -0.4, -1/7, z?
-0.4
Let y be 12/42 - (-214)/(-14). Let a = -10 - y. What is the third smallest value in -4, a, -3?
a
Suppose 2*t + 425 = 7*t. Suppose -6*w + w + t = 0. Suppose -3*g = -5*p - 3 - w, 4*p - 2*g = -16. Which is the biggest value? (a) 4 (b) 0.2 (c) p
a
Let d = 25 - 20. Which is the smallest value? (a) d (b) -1 (c) 2
b
Suppose 3*i - 20 = -v - i, -2*i = v - 10. Which is the second smallest value? (a) v (b) 0.4 (c) -3/5
a
Let v be (7/21)/((-14)/(-12)). Let h = -1/42 - 11/42. What is the second biggest value in -5/4, h, v?
h
Let j = 0.8 + -0.4. Let d = 0 - -0.3. Let r = d - 0.1. Which is the second smallest value? (a) j (b) r (c) -0.1
b
Let p = -2 + 8. Let z = 2 - p. Let s = 0.1 - 0.2. What is the second smallest value in -1, s, z?
-1
Let c = -16 - -16.7. What is the smallest value in 1, c, 4/7?
4/7
Let k = -1.2 + 1.6. Let l = 4 - 7. Let w = -2.7 - l. Which is the second biggest value? (a) w (b) k (c) -4
a
Let u = -5.6 + 7. Let k = 0.4 - u. Let v = 0 + 0.4. What is the biggest value in -0.01, k, v?
v
Let w = 28 - 24. What is the third smallest value in w, 0, 1?
w
Suppose -4*c + 2*j = 10, 11 + 0 = -3*c + 5*j. Let m be (6/4)/(c/4). What is the second biggest value in 0.1, m, 0?
0
Let d be (4/(-6))/(50/6). Let t = -949.01 - -954. Let h = t + 0.01. Which is the second biggest value? (a) 0.4 (b) h (c) d
a
Let v = 0.02 + 2.98. Let o = 25/2 + -11. What is the second biggest value in v, 0.4, o?
o
Let n = 15 - 14.5. Which is the second smallest value? (a) n (b) -1/11 (c) 4
a
Let r be (-8)/6 + (-6)/(144/(-56)). Let i = 4 + -7. Let l = 5 + i. Which is the third biggest value? (a) l (b) -4 (c) r
b
Let j = 0.5 - 0.5. Let o = -0.4 + j. What is the biggest value in 0.1, -1/4, o?
0.1
Let j be (-6)/(-1) - (-3)/(-3). Which is the third smallest value? (a) -2/19 (b) j (c) 0.1
b
Let i = -0.27 + -1.93. Let s = -1.8 + i. Which is the second smallest value? (a) 0.2 (b) -5 (c) s
c
Let a be 8/10 - 4/6. Let p = -1/11 - -15/44. What is the second smallest value in a, p, -2/15?
a
Let f = 0 + -4. Let l = 4.97 + 0.03. Let z = l + -10. Which is the smallest value? (a) z (b) -1/4 (c) f
a
Suppose i = -10 + 15. Which is the biggest value? (a) 1 (b) -0.05 (c) i
c
Suppose -4*n + y - 13 = 0, 6*n - 5*y - 3 = 3*n. Which is the third smallest value? (a) n (b) 3 (c) 5
c
Let y be 0 + (-15)/7 + 2. Which is the third biggest value? (a) 2 (b) -0.3 (c) y
b
Let l be 2/(-14) + (-636)/(-42). Let q = l - 15. Which is the second smallest value? (a) q (b) -0.3 (c) 0.3
a
Let z = -1.46 - 0.04. Let j = -0.1 + -0.4. Let k = j - z. Which is the third smallest value? (a) 4 (b) 0 (c) k
a
Let m be (-2)/4 + (0 - -1). Let u = -2.1 + 2. Which is the third biggest value? (a) m (b) -2/9 (c) u
b
Let h be (3/(-6))/(9/4). Let c = 0.1 + 0. Let b(q) = -q**2 + 6*q - 4. Let u be b(6). What is the third smallest value in u, c, h?
c
Let q = 307/1148 + 3/164. What is the smallest value in -0.4, q, -1, 5?
-1
Let a = 2 - 4. Let p = 2 - 0. Let f = 2 + p. What is the third smallest value in f, 3, a?
f
Suppose 4*d - 3 = d. Let y be -2*((-3)/18)/d. Let s = 1 + 2. What is the third biggest value in -0.4, y, s?
-0.4
Suppose 9*s - 4*s = 2*b - 31, 4*s + 20 = 0. Let w be (b - 1) + 28/(-2). Let c be (-15)/4*8/w. What is the smallest value in 4, -0.5, c?
-0.5
Let b = -94.5 + 78. Let t = -21 - b. Let r = 4 + t. What is the second smallest value in r, -1/4, 1?
-1/4
Let o = -0.23 + -0.01. Let d = -0.06 + o. Let v = -10 - -5. Which is the third biggest value? (a) d (b) v (c) 0.1
b
Suppose -2*p = 4*d + 4, p + 4*d - 16 = 4*p. Let m = 0.1 + -0.1. Which is the second biggest value? (a) m (b) p (c) 2/11
a
Let y(n) = n**3 + 5*n**2 + n + 5. Let p be y(-5). Let f = -3 + p. Which is the third smallest value? (a) -0.5 (b) f (c) -0.3
c
Let w = 4.01 - 0.01. Let g be 15/9 + 0 - 1. Which is the third biggest value? (a) w (b) g (c) -3
c
Suppose -j - 19 = 4*p - 0, -7 = -2*p + 5*j. Let n = 0.1 - 0. Let s be 1/1 - (-20)/(-15). Which is the third smallest value? (a) s (b) n (c) p
b
Let s = -3 - -3. Let r = 21/2 + -185/18. Let x = -3755/17 + 221. Which is the smallest value? (a) s (b) r (c) x
a
Let z = 0.1 - 0.2. Let i = 4/49701 - 133496930/546711. Let u = i - -244. What is the smallest value in 5, u, z?
u
Let x = -8.5 - -8.437. Let t = x + -7.637. Let n = t + 8. Which is the second smallest value? (a) -4 (b) 0.2 (c) n
b
Suppose -3*b - d + 4 = -b, d = b - 2. Let t be (b/(-6))/((-1)/3). Let f be t - 1 - (-3)/(-12). What is the smallest value in -2, f, 0.5?
-2
Let n = -0.4 + 0.31. What is the third smallest value in 0.2, 0.3, n?
0.3
Let q = 27/8 + -25/8. Let u = 0.3 - 0.1. Let h = u - -0.3. What is the biggest value in q, -4, h?
h
Let s = -14 + 9. Let w = -0.1 + 1.1. Let p = w + -2. What is the third biggest value in p, 5, s?
s
Let q = -4 + 5. Let f = 4 - 4. Let z = f - -0.5. Which is the third smallest value? (a) q (b) -0.2 (c) z
a
Let p(y) = -y**3 - 4*y**2 - 3*y - 3. Let i be p(-4). Let l be 0 - 6/i - -2. What is the second smallest value in -0.2, l, 0.5?
0.5
Let j be (-48)/180 - (-6)/10. What is the biggest value in -4, j, 0, 0.4?
0.4
Let w = 0.02 - 0.22. Let i = 0.4 - 0.3. Let f = w - i. What is the second biggest value in 0.2, -2/11, f?
-2/11
Let i = -98 + 95. Let l = -8/13 + -2/39. Let y be (-7)/(-4) + (-1)/(-4). Which is the biggest value? (a) y (b) l (c) i
a
Let k = 5 - 8. Let z = 0 - 5. What is the third biggest value in z, 4, k?
z
Let s = 28 + -24. Which is the smallest value? (a) -0.5 (b) s (c) 0.5
a
Let r = -0.8 + 0.8. Let m = r - -0.6. Let k = 119 + -1311/11. Which is the third smallest value? (a) m (b) k (c) -0.1
a
Let h(f) = f**2 - f + 2. Let z be h(0). Let r be (12/16)/((-1)/8). Let b be (-8)/6 + (-4)/r. What is the second smallest value in b, 1, z?
1
Let t = -15.03 + 15. Let a be ((-8)/12)/((-2)/(-15)). What is the biggest value in -3/2, a, t?
t
Let o = 1 - 0.91. Let j = o - 0.1. Let q = 0.31 + j. Which is the third biggest value? (a) -4 (b) 1 (c) q
a
Let q = 14 + -14.7. Which is the second smallest value? (a) q (b) 2 (c) -2
a
Let t = -14/25 - -4/25. What is the third biggest value in -16, 5, t?
-16
Let p be ((-16)/32)/(1/(-22)). Suppose -4*x = p - 7. Which is the biggest value? (a) -1/2 (b) x (c) 3/5
c
Let l = -23/21 - -3/7. Let f = -1 - -0.7. Let w = -1 + -1. What is the biggest value in w, f, l?
f
Let f = 10 + -10.08. Let m = -2.08 - f. Let z(n) = n + 5. Let l be z(0). Which is the third smallest value? (a) m (b) 0.5 (c) l
c
Let c = 0.12 + -0.22. Let j = 2.5 + -3. Let t = j - 0. What is the smallest value in 0.5, t, c?
t
Let v = 6 + -14. Let j = v - -12. Which is the second smallest value? (a) j (b) -3 (c) 1
c
Suppose 0 = -0*v - 3*v + 5*k + 4, k - 1 = 0. What is the smallest value in 1, v, -4?
-4
Let s be 2*4/6 + -1. What is the third smallest value in 1/4, s, 1.1?
1.1
Let f = 0.036 - -1.964. Which is the second biggest value? (a) 2/3 (b) -5 (c) -3 (d) f
a
Let f = 0 - -5. Let k = f +
|
{
"pile_set_name": "DM Mathematics"
}
|
are the prime factors of (-22)/(-1) + ((-20)/5 - -2)?
2, 5
Let q be 0 - 1 - (-2 - -7). Let k(f) = 2*f**2 + 7*f + 12. List the prime factors of k(q).
2, 3, 7
Let y be 1/(-2) + (-40)/(-16). Let b(d) = d**3 + 3 - 4 - 5*d + 4 - y*d**2. List the prime factors of b(4).
3, 5
Suppose -68 = -h - h. Let u be (h/3)/(10/15). Suppose -l - 7 = -u. List the prime factors of l.
2, 5
Let g(w) = 5*w + 2. Let s(m) = m**2 + m + 2. Let h be s(0). What are the prime factors of g(h)?
2, 3
Let p(u) be the second derivative of -u**2 - 2/3*u**3 + 2*u + 0. List the prime factors of p(-3).
2, 5
Suppose 4*n - 6 = 30. Let q = 46 - 82. List the prime factors of 70/n + (-8)/q.
2
Let h(m) = -2*m + 2. Let d be (-116)/20 + 1/(-5). What are the prime factors of h(d)?
2, 7
What are the prime factors of (-10)/65 - (-717)/13?
5, 11
Let b = 2 + 6. What are the prime factors of b?
2
Suppose 5*d + 121 - 441 = 0. What are the prime factors of d?
2
Suppose 3*c - 28 = -2*v + 48, 4*c - 108 = -4*v. Suppose c = 3*b - 5. What are the prime factors of b?
3
Let f(k) = 2*k**2 + k. Let p(q) = q**3 + 4*q**2 - 4*q + 6. Let x be p(-5). List the prime factors of f(x).
3
Suppose -3*j + 6 = -2*j - 5*x, -30 = 5*j - 5*x. What are the prime factors of 21/j*(-5 + 2)?
7
Let a(c) = -2*c - 3. Let i be a(-6). Let x = -7 + i. List the prime factors of x.
2
Let u(q) be the first derivative of q**3/3 - q**2/2 - 2*q + 1. Let s(v) be the first derivative of u(v). What are the prime factors of s(2)?
3
Let s = 41 + -7. Suppose s + 2 = 2*b. What are the prime factors of b?
2, 3
Let b(n) = n**2 - 6*n + 3. Let r be b(6). Suppose -5*k + 17 = -r. Suppose 2*y - y - k = 0. What are the prime factors of y?
2
Suppose 0 = -5*y + f + 25, 2*y + 2*f - 4*f - 10 = 0. Suppose 0 = 2*j - 3*r + 3, -y*r + 5 = 2*j - 0*j. Suppose -2*u + j*u = -4. List the prime factors of u.
2
Suppose 0 = -2*t + 6*t. Suppose -3*i + i + 20 = t. What are the prime factors of i?
2, 5
Let y(t) = t + 48. What are the prime factors of y(0)?
2, 3
Suppose d + d - 10 = 0. Suppose -d + 2 = 3*t. List the prime factors of t + 16 + 0 + -2.
13
Suppose 10*q = 5*q + 260. List the prime factors of q.
2, 13
Suppose -2*r = -3*r + 78. What are the prime factors of r?
2, 3, 13
Let t = 69 - 2. What are the prime factors of t?
67
Let n(u) = -9*u + 15. List the prime factors of n(-2).
3, 11
Let y(u) = -3*u**2 + 10*u - 7. Let l(z) = -z**2 + 1. Let v(i) = 4*l(i) - y(i). What are the prime factors of v(-10)?
11
Let x(o) = 2*o**2 - 18*o + 6. List the prime factors of x(12).
2, 3, 13
Let f be 2*(1 + (3 - 3)). Suppose 4*n - 8 = 0, -2*r + 3*n + f = n. Suppose -4*d = -5*b - 65 - 11, -76 = -4*d + r*b. List the prime factors of d.
19
Let j(a) = a**2 - 5. What are the prime factors of j(-5)?
2, 5
Let j(o) = -o + 1. Let l be j(8). Let k = l - -42. What are the prime factors of k?
5, 7
Let p be (-56)/6 - (-3)/9. Suppose -4*w = -2*w - 30. Let y = p + w. What are the prime factors of y?
2, 3
Suppose 2 + 10 = 6*m. Suppose -5*n + 0*i = -i - 23, 0 = -5*n + m*i + 21. List the prime factors of n.
5
Suppose z + 6 = 3*n - 4, -n + 3*z - 10 = 0. Suppose -2*f + 2 = 3*j, n*f + 0*f = j + 22. Suppose -28 = -0*b - f*b. What are the prime factors of b?
7
Let m be (2 - 1)*(-1 + 0). Let z be m/2 + (-28)/8. Let l = z + 10. List the prime factors of l.
2, 3
Suppose 0 = -4*a - 4. Let k be (-2 - a)/((-2)/6). Suppose k*p - 76 = -p. List the prime factors of p.
19
Suppose -3*d - 37 + 163 = 0. Let x be 2/(-8) + d/8. Suppose 0 = 4*l - x*r - 23, 0 = -3*r - r - 12. List the prime factors of l.
2
List the prime factors of (0 - (-3 - -4)) + 88.
3, 29
Let h(k) = 7*k**2 - k - 1. Let j be h(-1). Let p = j - -5. What are the prime factors of p?
2, 3
Let u = -1 + 4. Suppose -u*q - 24 = -7*q. Suppose -5*o + q + 4 = 0. What are the prime factors of o?
2
Let d be ((-20)/(-15))/((-4)/(-6)). Suppose 0 = -6*w + d*w. Suppose w = b - 5*b + 32. List the prime factors of b.
2
Suppose 7*l = 3*l - 40. What are the prime factors of (-6)/(-15)*-2*l?
2
Suppose 10*r = r + 576. What are the prime factors of r?
2
Suppose -g - 4*z = -3, -g - z + 28 = -2*z. List the prime factors of g.
23
Suppose 0*q - 2*n = 5*q, 5*q - 4*n + 30 = 0. What are the prime factors of (0 + q)*57/(-6)?
19
Let r be 0/6*(-1)/2. Let q be 1*(-2)/(-2 + r). Suppose 13 = 2*s + q. List the prime factors of s.
2, 3
Let q = 176 + -123. What are the prime factors of q?
53
What are the prime factors of 1*10/(-3)*(-10 + -50)?
2, 5
Suppose -8*b = -13*b + 45. What are the prime factors of b?
3
Let w be (-1 + 0)*(0 - 0). Suppose -2 = -2*g - w*g. List the prime factors of g + 5/((-10)/(-12)).
7
Let n = -3 - 2. Let u be (-174)/11 - (-4)/(-22). Let c = n - u. List the prime factors of c.
11
Let h(p) = -p**2 + 6*p - 6. Let d be ((-4)/10)/((-3)/30). Let j be h(d). Suppose -j*x - 9 = -3*x. What are the prime factors of x?
3
Suppose 7*g - 6*g - 25 = 0. What are the prime factors of g?
5
Suppose -58 = w - 188. List the prime factors of w.
2, 5, 13
Suppose -3*k + 0*k - 3 = 0. Let g be (k*3 - 1)*-6. Suppose 5*h = h + g. List the prime factors of h.
2, 3
Let o be 2 + (-1 - -2) + 2. Suppose -26 = -o*z - w, -5*z - w = 4*w - 10. List the prime factors of z.
2, 3
Suppose -j + 269 = 54. What are the prime factors of j?
5, 43
Suppose -3*o + 2 = -4. Let w be o*(2 - (2 - 2)). What are the prime factors of (3/2)/(3/w)?
2
Suppose 5*l - l = -4*u - 4, u = 3*l + 11. Suppose -u*i + 30 = 3*i. What are the prime factors of i?
2, 3
Suppose -4 = -4*h - l + 7, 5*h - l = 25. Suppose m = 3*y - 19, 2*y + 2 = -5*m - 8. Suppose 4*t - 48 = -h*z, -3*z - 4 = -z - y*t. List the prime factors of z.
2
List the prime factors of 0/(-2) - (5 + -19).
2, 7
Suppose w + 9 = -g - 0, 24 = -3*g - 2*w. List the prime factors of (-2)/12 - 55/g.
3
What are the prime factors of (-276)/(-16) - (-1 + (-4)/(-16))?
2, 3
Let c(b) = 3*b - 1. Let a be c(1). Let o be 7/3 + a/3. Let d = o - -3. List the prime factors of d.
2, 3
Let y(w) = w**3 + 9*w**2 - 9*w + 10. Let x be y(-10). Suppose 3*i - 202 + 49 = x. What are the prime factors of i?
3, 17
Let y(f) = 2*f + 6. Let z be y(6). Let o = z - 10. What are the prime factors of o?
2
Let z(w) = 23*w**3 - w**2. What are the prime factors of z(1)?
2, 11
What are the prime factors of (-3)/(15/(-245)) - (-6)/(-3)?
47
What are the prime factors of -15*(4/3)/(-1)?
2, 5
Suppose -1 = 3*z - 10. Let t(i) = 0*i + i**3 - 3*i - i + 4 - i**2. What are the prime factors of t(z)?
2, 5
Let g(s) = -s - 5. Suppose h - 2*o - 6 = 3*o, -4*h - o - 39 = 0. List the prime factors of g(h).
2
Let v = -90 - -140. List the prime factors of 20/(-6)*(-90)/v.
2, 3
Let g(m) = m**2 + 4*m - 3. Let a be g(-5). Suppose a*b = 0, -5*b - 13 - 5 = 3*f. List the prime factors of (-8)/(-3) + (-2)/f.
3
Let j(m) = m**2 + 6*m - 8. List the prime factors of j(5).
47
Suppose 5 = -c - 9. Let d = c - -21. Suppose -2*t = -d*t + 35. What are the prime factors of t?
7
Let h = 52 + -20. What are the prime factors of h?
2
Suppose -5 = 2*w + 7. Let y(g) = g**3 + g**2 - g + 11. Let u be y(0). Let c = w + u. List the prime factors of c.
5
Let q = 4 - 7. Let y(u) = u**3 + u**2 - 1. Let p(g) = -4*g**3 - 4*g**2 + 3*g + 4. Let d(h) = p(h) + 3*y(h). List the prime factors of d(q).
2, 5
Let f = -56 + 169. What are the prime factors of f?
113
Let k be (-4)/2*(-3 + 4). List the prime factors of (1 + k)*-21 + -2.
19
Let y = -4 + 8. Let r be 1/(-4) + 161/4. Suppose y*g = -0*g + r. List the prime factors of g.
2, 5
Let p(j) = j + 4*j + 7 - 4*j. Let h = 12 - 6. What are the prime factors of p(h)?
13
Let j(f) = f - 8 - 4*f + 3. Let w be j(-4). Suppose 3*u + 0*u = -5*b + 57, -3*b + 5*u = -w. List the prime factors of b.
3
Suppose 4*k = 2*w + 6, -2 = 5*w - 5*k + 3. Suppose -n - 7 - w = 0. Let s = n + 14. What are the prime factors of s?
2, 3
Let c(b) = b**2 + 4*b - 3. Let g be c(-5). List the prime factors of 20*(3 - g) + 0.
2, 5
Let d = 6 + -6. Suppose 3*q + 0 + 12 = d. Let s = q - -12. List the prime factors of s.
2
Let i = -7 - -6. Let d = 1 - i. Suppose t = -0*t + 3*w + 11, -w = -d. What are the prime factors of t?
17
Let c be -4 - 0 - (0 - 0). Let t be ((-6)/c)/(3/(-16)). List the prime factors of -10*(-5)/((-50)/t).
2
Suppose 8*a - 2*n = 3*a + 148, 5*a + 5*n = 155. List the prime factors of a.
2, 3, 5
What are the prime factors of ((-276)/161)/(4/(-98))?
2, 3,
|
{
"pile_set_name": "DM Mathematics"
}
|
4392/(-513).
-8/3
What is (-19)/45 - (1 + 22/(-18))?
-1/5
Calculate (2 - -1 - 7)/(-1).
4
What is the value of 9/11 + -2 + (-16)/(-88)?
-1
17 + -14 + (0 - (-11)/(-2))
-5/2
Calculate 2*(((-15)/2)/5)/12.
-1/4
What is 40/16*4/10?
1
What is 3*((2 - 0) + -4) + 3?
-3
(-3)/(-6)*(-1 + -4 - -11)
3
18/(-2) + 2 + 0
-7
Calculate (-2)/(-1 - (-70)/50).
-5
Evaluate -3 + 8/64*30.
3/4
Calculate ((-3)/(-14))/(10 - (-344)/(-32)).
-2/7
What is the value of (-3 - -3) + 8/56?
1/7
What is 0/(-2*(-1)/(-2))?
0
((-4)/(-10)*5)/(3 + -1)
1
Calculate (-150)/(-1725) + 326/(-46).
-7
Calculate 1 - 5/3 - (-24)/9.
2
(-135)/81 - 7/(-3)
2/3
((-4)/(-5))/(300/125)
1/3
Calculate ((28/(-4))/7)/11.
-1/11
What is 0 - 1 - ((-30)/6 - -7)?
-3
Calculate (-20)/(-7) + 504/(-588).
2
What is the value of 63/(-273)*6/9?
-2/13
Evaluate (-2664)/648 - 1/(-9).
-4
(1 - 1)/(6/(-13 - -7))
0
Evaluate 13/15 + 12/(-18).
1/5
Calculate (-1)/((18/60)/((-6)/4)).
5
What is (-40)/5*(4/(-8))/(-1)?
-4
Calculate (-6)/5 + -1 + (-4)/5.
-3
Evaluate ((-3)/(-10))/(18/24*-2).
-1/5
What is (12/15)/(294/(-35))?
-2/21
What is the value of 52/28 - (-1)/7?
2
Calculate (-12)/(((-15)/6)/(55/(-44))).
-6
Evaluate 1*(-12)/8*(-100)/30.
5
Evaluate (-8 + 4 - -5)*(-3 - -3).
0
Calculate (-3 + 2/1)*(-3 - -1).
2
What is the value of (24/(7 + -11))/1?
-6
Evaluate (-3)/(-6)*(12 - 4 - 0).
4
What is (-3)/6*(1 - 1) + 2?
2
308/1617*(-21)/6
-2/3
Calculate (10 + 190/(-15))/((-1)/(-3)).
-8
((-2)/3)/(16/24)
-1
Calculate 6 + -2*56/18.
-2/9
-1 + (-1 - (-5 + 3))
0
Calculate (-14)/2 + 1026/162.
-2/3
Evaluate -9*(7 + 115/(-15)).
6
Evaluate 2/(-4) + (-102)/(-156).
2/13
What is 0/4 + 3 + 0/4?
3
Calculate ((-2)/3*159/106)/(-1).
1
Calculate (-12)/15 + (-52)/(-40).
1/2
Calculate 0*2/(-4) + (-20)/170.
-2/17
(-1)/(2/2) + 5 + 1
5
What is the value of (-6)/(-162)*18*2/4?
1/3
What is ((-32)/(-12))/(76/171)?
6
What is the value of (0 + -1 + -4)/(8/2)?
-5/4
(36 + -31)*(-2)/(-50)
1/5
What is 2/(-3)*(-459)/714?
3/7
Evaluate (4 + 5/(-1))/(2/4).
-2
Evaluate (1 + (-1)/4)*72/(-243).
-2/9
What is (-7)/(112/(-12)) - 15/(-12)?
2
What is the value of (-1 + 2)*(-6 + (-147)/(-28))?
-3/4
What is (1 - 0)*1 + -21 + 21?
1
What is (((-16)/(-12))/2)/((-2)/(-12))?
4
Calculate (-14)/44 - (-48)/(-264).
-1/2
What is the value of 2/1 - -1 - 7?
-4
Evaluate 7/5 - -2*(-3)/30.
6/5
What is the value of ((-18)/(-3) - 5)*-5?
-5
What is 0 - (-1 + 10 + -4)?
-5
What is the value of (-7 + (-88)/(-16))/((-7)/2)?
3/7
Calculate ((-27)/15)/(186/(-155)).
3/2
10/(-4)*(9 + -1 + -6)
-5
Calculate (-21)/18 + 4 + (-54)/12.
-5/3
Calculate 21 + -22 - 120/(-110).
1/11
What is the value of ((-1)/(-6))/((-6)/12)?
-1/3
What is (-75)/12 - (-12)/2?
-1/4
Calculate 1/(-9)*(-15)/(-2).
-5/6
What is 440/90 + 2/18?
5
What is ((-8)/14)/1*(-34)/(-136)?
-1/7
What is the value of 6/((-189)/18 - -9)?
-4
((-2)/10)/((-28)/35)
1/4
What is (-120)/(-90)*(-12)/(-16)?
1
What is the value of ((-40)/(-140))/((1 - 4) + 2)?
-2/7
What is (-4 - -6) + 3/((-27)/24)?
-2/3
What is (-3)/(-39)*(-132)/(-66)?
2/13
Calculate 2/(5/(-10 + 0)).
-4
Calculate ((-33)/55)/((-2)/(8/(-6))).
-2/5
What is ((-1)/7)/(1918/245 - 8)?
5/6
Calculate 0 + (6/(-27) - (-2)/(-72)).
-1/4
What is (((-24)/70)/(-3))/(4/(-10))?
-2/7
(-100)/(-150)*(-1)/(-11)*3
2/11
What is ((-6)/14)/(-7 - (-384)/56)?
3
Calculate (1/4*-1)/((-453)/1208).
2/3
What is 55/40 - (-15)/(-40)?
1
(-25 - -16)/(6/4)
-6
What is the value of 13/((-9)/(0 + -9)) - 3?
10
What is the value of 6 + -3 - ((-2)/2 - -2)?
2
What is (-1)/(-2)*(-8)/12?
-1/3
Evaluate 17/(-51)*(-3)/7.
1/7
-5 + (2 - (3 + -1))
-5
What is 8/16 - ((-14)/(-4) + -1)?
-2
Evaluate ((-80)/(-60))/((-8)/3 - -2).
-2
What is ((-4)/(-60))/((-8)/(-20))?
1/6
What is (24/32)/((-45)/24)?
-2/5
(25/150)/(2/4)
1/3
What is (((-665)/126)/19)/((-3)/18)?
5/3
Evaluate (-29)/145 + 1/5.
0
What is 92/84 - 21/49 - 1?
-1/3
What is 8 - (1 + 0)*0/(-19)?
8
What is (-456)/(-116) + 4/58?
4
((-26)/(-39))/(2/(-3))
-1
Calculate ((-2)/10)/((-43)/258)*-5.
-6
127/381 + (-1)/(-6)*4
1
Evaluate (-174)/36 - (-5)/6.
-4
Evaluate 12/(-30) - (-220)/50.
4
What is (3/(-6))/(3/6)?
-1
What is (-3 - -2)/((-5)/3 + 2)?
-3
What is ((-2)/14)/(2/4*2)?
-1/7
(-15)/(-20)*(-8)/1
-6
((-2)/8)/(95/76)
-1/5
Evaluate 10*((-1)/(-5) + 0).
2
What is the value of (-14)/28*(-4)/(-4)?
-1/2
Evaluate 4/(-63) - 184/(-644).
2/9
What is (2/(-14))/((-10)/(-40))?
-4/7
Calculate 2/6 + (46/24 - 2).
1/4
What is the value of (-8)/((-288)/(-351)) - -8?
-7/4
What is the value of (-2 - 2) + -2 + 8?
2
What is the value of (-5)/(15/(-18))*21/(-84)?
-3/2
What is (70/(-15) + 4)/((-2)/3)?
1
Calculate 4/(-3) - (-342)/54.
5
25/(-7) - (6 - (-460)/(-70))
-3
Calculate 333/(-195) + 208/676.
-7/5
What is the value of (-4)/(-18)*-3*(-1)/(-6)?
-1/9
(0 - 7/18)*(-188)/(-329)
-2/9
((-30)/225)/((-2)/25)
5/3
Calculate ((-6)/(-165))/(6/(-90)).
-6/11
Evaluate ((0/14)/5)/(-3).
0
What is (-10)/45 - 102/(-27)*-1?
-4
What is (-85)/(-165) + (-2)/11?
1/3
4/(-6) + 1452/(-198)
-8
What is the value of 3 + -6 + (5 - (-12 - -6))?
8
Calculate (-2)/(-7) + 99/(-77).
-1
What is 0 + -7*(-1)/(-42)?
-1/6
Evaluate 1/(5 - (-19)/(-4)).
4
What is 0/(-28) - (-3 - 0)?
3
What is 179/45 + (-42)/(-189) - 4?
1/5
What is 3/(-1) + 40/5?
5
Evaluate 13/1 - (6 - 2).
9
Calculate 3 - (-108)/(-162)*43/10.
2/15
Evaluate (3 - 1)*(-1 + 5 + -2).
4
Evaluate 19/36 + (-290)/(-1305).
3/4
(3/(-12))/(4 + (-207)/48)
4/5
((-24)/5)/2 - 297/495
-3
Evaluate 1/8*(14 + -6).
1
What is the value of (7*10/(-105))/(1*-2)?
1/3
What is 4 - 5 - (-36)/28?
2/7
(46/(-44) - -1)/(6/12)
-1/11
What is the value of 16/120 - 43/(-15)?
3
Calculate -3 + (2 - 2) - (-1 - 0).
-2
Calculate (-7)/21*(-2 - -4 - -10).
-4
Calculate 2*(28/7 - 7).
-6
Calculate (-4)/(-6) - (374/(-42))/(-11).
-1/7
What is the value of -1*3/(-5 + 38/4)?
-2/3
((-960)/18)/20*(-3)/(-36)
-2/9
(-270)/25 - -2 - -9
1/5
What is 46*10/40 - 12?
-1/2
What is (22/308)/((-6)/(-8))?
2/21
(12/(-16))/(1/(-4))
3
What is (-175)/42 - (-8)/2?
-1/6
What is the value of 66/605*-2 - 2/(-5)?
2/11
24/(-36)*(39/6 + 1)
-5
What is ((-1)/30)/(-2 + (-25)/(-15))?
1/10
Calculate 10 + (-1)/1*6.
4
Calculate -15 - -7 - (18 + -26).
0
-15*((-13)/((-39)/16) - 5)
-5
Calculate (80/(-60))/((-2)/6).
4
What is 2/(-10) + (-95)/(-5225)?
-2/11
What is ((-24)/105)/(4*(-6)/60)?
4/7
What is the value of 0 - (-8)/2*(-1 + 0)?
-4
What is ((-72)/(-30))/(6 + 69/(-10))?
-8/3
What is the value of -5 + -46*6/(-48)?
3/4
5 - ((-932)/(-180) + 4/18)
-2/5
(-4)/6*57/(-38)
1
What is the value of (-15)/(-60) - (-1)/(-12)?
1/6
Evaluate -2 + -1 - 18/(-7).
-3/7
What is 82/(-205) - 66/(-140)?
1/14
What is 2/(-4)*(-24)/(24/6)?
3
Calculate 6*(-6 + 19/3).
2
What is (-2 + 6)/(2 - 1/1)?
4
Evaluate (-2 + (-9)/(-9))/((-2)/(-4)).
-2
Evaluate -10 + 20/(-28)*-7.
-5
What is (-6)/(-21) + 75/(-42)?
-3/2
Evaluate 30/24 - 147/140.
1/5
Calculate (10/(-20))/(((-3)/(-4))/(-3)).
2
Calculate -14 - (-14)/2*(-24)/(-24).
-7
What is the value of (-4228)/(-13288) + ((-4)/2)/4?
-2/11
What is the value of (-18)/(-48)*4*(-8)/3?
-4
What is the value of (2/(-6))/((-8)/(-112)*7)?
-2/3
55*3/25 - 7
-2/5
What is the value of 1/(-2) + 215/86?
2
(-860)/180 - (2/9)/1
-5
-106 - -109 - (-21)/(-8)
3/8
Evaluate (6/7)/(3 - 76/28).
3
Evaluate (-3)/(((-15)/35)/(4/(-7))).
-4
What is the value of 12/(-16) - 46/(-40)?
2/5
What is ((-5)/5)/(6/12)?
-2
What is the value of (192/36 - 6)*(-9)/(-14)?
-3/7
Calculate -1*(3/1 - (12 + -6)).
3
Evaluate 4 + 1 - (-22)/(-4).
-1/2
What is 6 + (-5 - -1) - (-40)/(-5)?
-6
Calculate (2/22)/((-114)/(-228)).
2/11
Evaluate 688/210 + -3 + 54/(-405).
1/7
What is ((-24)/(-42))/4*4?
4/7
(6/5)/(-4*14/(-280))
6
Calculate (-1404)/99 + 9 - 4/(-22).
-5
What is the value of -4*(-72)/32 + -4?
5
What is the value of -2 + 3 + 6 + -6?
1
What is (-2)/((-8)/(-12)) - (-5 - 3)?
5
(7/(-13 + -1))/((-2)/(-16))
-4
Evaluate (-8)/(-2) - (2 + (-84)/(-35)).
-2/5
What is the value of 96/15 - 1 - (-18)/(-3)?
-3/5
What is (-3 + 2)*10/(-10)?
1
What is (-4 + 14/5)/(4/(-10))?
3
What is (-4 + (-3 - -5))*(-5)/4?
5/2
(1/3)/((-1)/3)
-1
What is the value of (-13 - (-25 + 8)) + 8/(-3)?
4/3
(-3)/(-18)*34 - (-10)/(-6)
4
What is (-11 - (-484)/33)*4/66?
2/9
(-18)/5 - (-5)/(75/9)
-3
What is the value of (1 - (-24)/3)/(37 - 36)?
9
What is the value of (-190)/(-360) + 3/(-4)?
-2/9
What is ((-63)/(-56))/((-145)/80 - -2)?
6
What is -3 - 4/(-120)*86?
-2/15
Calculate (-2
|
{
"pile_set_name": "DM Mathematics"
}
|
ograms.
0.0000000000056537
Convert 0.2629094 millennia to months.
3154.9128
What is 876803.2 centuries in millennia?
87680.32
What is five quarters of a litre in millilitres?
1250
What is 49.2192 micrograms in nanograms?
49219.2
How many hours are there in 2221.6887 minutes?
37.028145
What is 0.4673475 millennia in decades?
46.73475
How many decades are there in fifty-five halves of a millennium?
2750
What is 21/8 of a second in milliseconds?
2625
What is 11/4 of a week in hours?
462
How many nanograms are there in 3737.16t?
3737160000000000000
What is 32/5 of a millimeter in micrometers?
6400
How many years are there in 71.43201 millennia?
71432.01
What is one quarter of a tonne in kilograms?
250
How many seconds are there in 4706.296 hours?
16942665.6
How many millilitres are there in 51/5 of a litre?
10200
How many micrometers are there in fifteen quarters of a centimeter?
37500
What is six fifths of a millimeter in micrometers?
1200
What is 8.182715 micrograms in grams?
0.000008182715
What is 44/5 of a gram in milligrams?
8800
Convert 0.9611753nm to kilometers.
0.0000000000009611753
What is 74.29888 litres in millilitres?
74298.88
What is 7/3 of a week in hours?
392
How many millimeters are there in 1/16 of a kilometer?
62500
What is 44/5 of a century in years?
880
How many millilitres are there in 6/5 of a litre?
1200
Convert 32.73699 grams to milligrams.
32736.99
How many nanometers are there in 53/5 of a micrometer?
10600
How many microseconds are there in 11/10 of a millisecond?
1100
How many micrograms are there in eleven quarters of a milligram?
2750
What is 42557.977 days in weeks?
6079.711
How many minutes are there in twenty-three sixths of a day?
5520
What is 26/5 of a century in decades?
52
What is 8/25 of a kilogram in grams?
320
What is thirteen fifths of a day in minutes?
3744
What is 5/4 of a litre in millilitres?
1250
Convert 7773.55ms to seconds.
7.77355
What is thirteen eighths of a day in minutes?
2340
What is 1/4 of a litre in millilitres?
250
Convert 2.812504 litres to millilitres.
2812.504
Convert 57607.3kg to micrograms.
57607300000000
Convert 100210.8um to meters.
0.1002108
How many nanometers are there in 3/32 of a millimeter?
93750
What is 66289.18 years in millennia?
66.28918
How many nanograms are there in 15.65531 micrograms?
15655.31
How many millimeters are there in 6.41125 nanometers?
0.00000641125
How many micrometers are there in seven sixteenths of a centimeter?
4375
What is 21.76872 years in centuries?
0.2176872
What is 8/25 of a milligram in micrograms?
320
How many months are there in 199648.1 centuries?
239577720
What is 17/2 of a centimeter in micrometers?
85000
What is five eighths of a meter in millimeters?
625
What is 5.272136 nanometers in centimeters?
0.0000005272136
What is seventeen sixths of a year in months?
34
What is 24.42275ml in litres?
0.02442275
Convert 361.4498um to kilometers.
0.0000003614498
What is 6.736179 centimeters in millimeters?
67.36179
What is 1/20 of a litre in millilitres?
50
What is 1793.698 millennia in months?
21524376
How many milliseconds are there in seven halves of a second?
3500
How many millennia are there in 149494.56 months?
12.45788
What is 21/5 of a gram in milligrams?
4200
Convert 18.02491l to millilitres.
18024.91
What is 64.1222 millennia in decades?
6412.22
What is 6/25 of a kilogram in grams?
240
How many microseconds are there in 0.3045859 minutes?
18275154
How many millimeters are there in 9/10 of a centimeter?
9
What is 0.6453754 years in centuries?
0.006453754
How many grams are there in 9/10 of a kilogram?
900
Convert 600899.4l to millilitres.
600899400
What is 1/5 of a tonne in kilograms?
200
Convert 4929.861 millilitres to litres.
4.929861
What is 26/5 of a decade in years?
52
What is three tenths of a litre in millilitres?
300
How many microseconds are there in 0.659969ns?
0.000659969
How many meters are there in fifty-seven fifths of a kilometer?
11400
How many years are there in twenty-five quarters of a millennium?
6250
What is twenty-one quarters of a millennium in years?
5250
Convert 72.38075t to nanograms.
72380750000000000
What is seven halves of a litre in millilitres?
3500
How many years are there in 1/5 of a millennium?
200
Convert 7.592472g to nanograms.
7592472000
Convert 660515.5 micrometers to meters.
0.6605155
How many micrometers are there in 35.71261cm?
357126.1
How many millimeters are there in 57.4734nm?
0.0000574734
How many decades are there in 396.6117 months?
3.3050975
What is 20.06649l in millilitres?
20066.49
What is sixty-one thirds of a minute in seconds?
1220
What is 225246.2 millilitres in litres?
225.2462
What is three tenths of a milligram in micrograms?
300
How many months are there in 1/24 of a decade?
5
Convert 5997.63 litres to millilitres.
5997630
What is 10/3 of a millennium in months?
40000
How many nanoseconds are there in 338.1607 seconds?
338160700000
What is 174650.9l in millilitres?
174650900
Convert 1616.985 millimeters to micrometers.
1616985
Convert 2636.5959ns to minutes.
0.000000043943265
Convert 0.408726ms to hours.
0.000000113535
How many microseconds are there in 900.8368 days?
77832299520000
How many months are there in 26/5 of a century?
6240
What is fourty-five halves of a litre in millilitres?
22500
How many seconds are there in 56343.62 days?
4868088768
How many millilitres are there in 19/4 of a litre?
4750
What is 1.926289um in millimeters?
0.001926289
Convert 0.53432g to kilograms.
0.00053432
How many nanograms are there in 7/4 of a microgram?
1750
What is 0.8612653 kilometers in millimeters?
861265.3
What is 74/5 of a litre in millilitres?
14800
What is 36502.57 milligrams in tonnes?
0.00003650257
What is 982721.1t in grams?
982721100000
How many months are there in 3/5 of a decade?
72
What is 7/3 of a millennium in months?
28000
What is 22/9 of a week in minutes?
24640
How many micrograms are there in three eighths of a milligram?
375
What is 1.120258t in nanograms?
1120258000000000
How many centimeters are there in 1/10 of a kilometer?
10000
What is eleven halves of a decade in years?
55
What is seven sixths of a year in months?
14
Convert 152183215.8us to weeks.
0.0002516256875
What is 70175.94 weeks in minutes?
707373475.2
What is 25/8 of a century in months?
3750
How many millilitres are there in twenty-six fifths of a litre?
5200
What is six fifths of a century in months?
1440
How many meters are there in 86621.92 micrometers?
0.08662192
What is 3/25 of a kilogram in grams?
120
What is 44536.17 centimeters in kilometers?
0.4453617
Convert 60.7901 decades to months.
7294.812
What is six fifths of a millennium in decades?
120
What is 8.449971 litres in millilitres?
8449.971
What is twenty-seven halves of a litre in millilitres?
13500
What is 9/10 of a tonne in kilograms?
900
How many millennia are there in 1.654953 months?
0.00013791275
What is 3/40 of a milligram in micrograms?
75
What is 6.032123t in micrograms?
6032123000000
How many nanoseconds are there in 36849.56us?
36849560
Convert 5.724431km to nanometers.
5724431000000
What is 227.2376nm in millimeters?
0.0002272376
How many millilitres are there in 9.925354l?
9925.354
How many millilitres are there in 0.5923623l?
592.3623
What is 13.013451 months in centuries?
0.0108445425
How many nanograms are there in 5/4 of a microgram?
1250
How many minutes are there in twenty-five sevenths of a week?
36000
How many meters are there in 281.981 nanometers?
0.000000281981
How many micrometers are there in 809.2019m?
809201900
How many millilitres are there in thirty-seven fifths of a litre?
7400
How many millennia are there in 27845.292 months?
2.320441
Convert 96114.47 kilometers to micrometers.
96114470000000
How many seconds are there in 3481.411 days?
300793910.4
What is 1026704.4 seconds in minutes?
17111.74
How many centuries are there in 15.818649 months?
0.0131822075
How many milligrams are there in 5530.229 kilograms?
5530229000
What is 21/2 of a millennium in centuries?
105
How many kilometers are there in 2624.496 micrometers?
0.000002624496
What is one quarter of a millennium in months?
3000
What is 3/40 of a millisecond in microseconds?
75
What is 13/8 of a millennium in years?
1625
What is one quarter of a second in m
|
{
"pile_set_name": "DM Mathematics"
}
|
16912 or 50735/3?
16912
Which is smaller: 0.1 or -0.189355?
-0.189355
Which is greater: 38846 or 38844?
38846
Is -1.2 < -67607?
False
Which is smaller: 0 or 8/100129?
0
Which is bigger: 1109 or 58786/53?
58786/53
Is -12 > 16129?
False
Is -4/835429 at most 1?
True
Is 16378 at least -7?
True
Which is smaller: -84395/19 or -4443?
-4443
Which is bigger: 767/291 or 4?
4
Do -217027 and -217024 have the same value?
False
Is 728 > 14533/20?
True
Which is bigger: 2 or 902/261?
902/261
Which is smaller: -4288 or -82/7?
-4288
Which is smaller: 7/4918 or 1?
7/4918
Is -37 smaller than -464?
False
Which is bigger: 1598/5 or 36?
1598/5
Is -560319 bigger than -560319?
False
Which is bigger: -4/435 or 18?
18
Is 45813 >= 45811?
True
Is 58761 greater than or equal to 58762?
False
Is 459 less than 489?
True
Is 2 at most as big as -199/11?
False
Which is smaller: -514/6339 or 2?
-514/6339
Are 1 and -60/164861 non-equal?
True
Does 0.03 = -108176/5?
False
Do 648/7 and -1/2 have different values?
True
Which is bigger: -1 or 17/14944?
17/14944
Is -1/3 not equal to -0.4747?
True
Which is greater: 48515 or 48534?
48534
Is 90/11389 less than or equal to -1?
False
Is 48744 smaller than 48659?
False
Which is bigger: -3262532/3 or -1087511?
-3262532/3
Which is smaller: 75036 or -34?
-34
Is -934 greater than 0.164?
False
Is 221 less than or equal to 72?
False
Which is bigger: -13549 or -13550?
-13549
Which is bigger: -72/1135 or 1?
1
Do 4/56659 and -1 have the same value?
False
Which is bigger: 1 or -2/1289061?
1
Is 10 greater than or equal to 8.353?
True
Which is smaller: -65721 or -65722?
-65722
Is -60663 not equal to -60663?
False
Is -190586 < 2?
True
Are 373432 and 373432 non-equal?
False
Which is greater: -5.103 or -0.2?
-0.2
Is 4333 != 0?
True
Which is greater: -4448 or -3?
-3
Is -26720 > -26723?
True
Which is bigger: 7635/14 or 544?
7635/14
Which is bigger: -1 or -1378/2699?
-1378/2699
Does 111/11 = 36?
False
Is 353345 greater than or equal to 353344?
True
Are 4527 and 0.061 nonequal?
True
Is -434090 != -434090?
False
Which is smaller: -1 or 2/16911?
-1
Is -2 < -182/111?
True
Is -71581/16 less than -4473?
True
Which is smaller: -322 or -52?
-322
Which is bigger: -0.1 or -187.763?
-0.1
Is -1633182 less than -1633183?
False
Which is greater: -23036 or -23037?
-23036
Which is smaller: 4/25263 or 0?
0
Which is greater: -36155 or -36154?
-36154
Is -9 < -1386/149?
False
Is 6271 < 6275?
True
Is 590 not equal to 555?
True
Which is smaller: 0.10212 or -1/53?
-1/53
Which is bigger: 261513 or 261509?
261513
Does 1 = -3/12671605?
False
Are 4695 and -787 non-equal?
True
Which is smaller: 174 or -0.2291?
-0.2291
Which is bigger: -3216554 or -3216553?
-3216553
Is 2/51 at most -1/5687?
False
Do 4 and 5/199533 have different values?
True
Which is smaller: 846 or 0.195?
0.195
Which is bigger: -7/1192362 or 1?
1
Which is smaller: -172606 or -172600?
-172606
Which is bigger: -1075 or 1/12?
1/12
Which is smaller: -6 or -6576/1333?
-6
Is -191207 > 3?
False
Which is smaller: -9801 or -9844?
-9844
Which is bigger: 1 or 2/137387?
1
Is -9/52 >= 5?
False
Is 1 at most as big as -5/15916?
False
Are 443607 and 443607 equal?
True
Which is bigger: -16741 or -16751?
-16741
Which is smaller: 201093 or 201092?
201092
Which is smaller: -2558 or -2403?
-2558
Is -7/540662 not equal to -1?
True
Is 714 smaller than 693?
False
Do 0 and 3132/4793 have different values?
True
Do -1275952 and -1275952 have the same value?
True
Which is greater: 10281 or 133638/13?
10281
Which is smaller: -29120 or -29061?
-29120
Are -7888 and -7885 nonequal?
True
Is -689 smaller than -600?
True
Is 40643 greater than 40644?
False
Is -2/193593 != 1?
True
Is 4 at least 200401?
False
Which is bigger: 0.1 or 16887?
16887
Are -19878 and -19880 equal?
False
Which is smaller: 2644 or 2632?
2632
Is -133 at most as big as -25728/193?
False
Which is smaller: 0 or 355/824?
0
Is -0.5 greater than -1394.506?
True
Which is smaller: -25144 or -13?
-25144
Is 769 greater than or equal to -3839?
True
Which is smaller: 0 or -2/512793?
-2/512793
Is 118920 < 118920?
False
Is 2 smaller than 8136?
True
Which is bigger: -11 or 1781.4?
1781.4
Which is greater: -0.023 or -0.8?
-0.023
Which is smaller: 25723 or 77168/3?
77168/3
Which is smaller: 90 or -0.07359?
-0.07359
Is -1 not equal to -6638?
True
Which is smaller: 7206 or 7180?
7180
Which is bigger: 1/29084 or 0?
1/29084
Which is greater: -21341 or -21450?
-21341
Which is smaller: 317 or 377?
317
Are 36/123281 and -1 equal?
False
Is -7 != -6119?
True
Which is smaller: 10 or -64251?
-64251
Are 11557/5 and 2311 nonequal?
True
Is 227323 >= -4?
True
Is 200725 not equal to 2?
True
Is -1 less than 38/54037?
True
Is 5165 < 5165?
False
Do -1 and 692019 have the same value?
False
Is 27904 bigger than 27900?
True
Which is smaller: 218570/3 or 72856?
72856
Is 0.05029 at least 48?
False
Which is greater: 1675 or 144?
1675
Which is greater: 0 or -16/7951?
0
Is -1 > -16/27469?
False
Which is greater: -0.01298 or -29?
-0.01298
Which is smaller: -557 or 834?
-557
Is 0 at most 220/547?
True
Is 52962 > 52958?
True
Which is smaller: 91859 or 91854?
91854
Which is smaller: -83086 or -83090?
-83090
Which is greater: -48931 or -48928?
-48928
Which is smaller: 538 or 0.48?
0.48
Is 3922 less than or equal to 35294/9?
False
Which is greater: -14502 or -14513?
-14502
Is 4.43 >= 2.387?
True
Which is greater: -536/739 or 0?
0
Which is smaller: -406187 or -406186?
-406187
Which is smaller: -31984 or -95951/3?
-31984
Is -3 smaller than -5020/2529?
True
Which is smaller: 91 or 155?
91
Do 0.1 and -17.9438 have different values?
True
Which is greater: -368/327 or -1?
-1
Is -5429715 <= 0?
True
Which is greater: 12630/11 or 2?
12630/11
Which is smaller: -18106.4 or -0.3?
-18106.4
Are 74692 and 74693 equal?
False
Is 54 at most as big as 1167/22?
False
Which is smaller: -84/1483 or 1?
-84/1483
Is -494 smaller than -1.24?
True
Do -10/1660591 and 0 have the same value?
False
Is 82078 less than or equal to 82080?
True
Is -3.644627 greater than or equal to -1?
False
Which is greater: 7493 or 7387?
7493
Are 6 and -626/1313 non-equal?
True
Which is greater: 26/7 or 300/37?
300/37
Is -93/2849 bigger than 0?
False
Is -61.06 > 43?
False
Is 5871 at least 5821?
True
Which is greater: 8/5901 or -0.126?
8/5901
Which is bigger: -34/3 or 2.23?
2.23
Does -19 = 786/91?
False
Which is smaller: -42169 or -42163?
-42169
Is 0 equal to -7/22063?
False
Do 9/5632 and 0 have the same value?
False
Which is bigger: 52062 or 52064?
52064
Do 0 and 51/6193 have different values?
True
Do 5466/11 and -0.07 have different values?
True
Is -240440/77 > -3123?
True
Is 628/25 < 25?
False
Which is greater: 25310 or 25309?
25310
Is 132014 at least 132014?
True
Which is bigger: -11497 or 454?
454
Is -35789 at least -35949?
True
Is 12/4205 <= 0?
False
Is -1/7367 at least 0?
False
Which is smaller: -0.06 or -23197?
-23197
Are 2565/332 and 8 equal?
False
Is -663872 greater than -663871?
False
Is 855/302 at most as big as 2?
False
Is 292666 less than 292667?
True
Which is greater: 1688033 or 0?
1688033
Do 0 and 2/27269 have different values?
True
Is 367321 less than 367320?
False
Is 50800 bigger than 0?
True
Does -0.369 = 245?
False
Is -2 greater than 3966/11?
False
Are 1798 and 1748 nonequal?
True
Is -47 at least as big as 2762?
False
Are -169949 and -169950 non-equal?
True
Which is greater: 3/1844281 or 1?
1
Is 43481/2 != 21741?
True
Is 227743/8 at least 28468?
False
Which is bigger: 884935 or 2654801/3?
884935
Is 2 < 0.0871?
False
Is 15473 at least as big as 15473?
True
Which is greater: 10943 or 10915?
10943
Is 6 bigger than -233008/9?
True
Which is smaller: -16.796 or 0?
-16.796
Which is greater: -2807018/7 or -401002?
-401002
Is 35 greater than 11985?
False
Is -12 smaller than -5/219?
True
Which is bigger: 1472 or 7363/5?
7363/5
Is -6/11 bigger than -1/141?
False
Which is smaller: 0.35 or 1921?
0.35
Which is smaller: 0 or -47/9?
-47/9
Which is smaller: 1122 or 12358/11?
1122
Which is smaller: -1080599/5 or -216119?
-1080599/5
Which is smaller: -1605/959 or -2?
-2
Which is smaller: 118 or 100?
100
Is 95 at least as big as 163?
False
Which is smaller: 0 or -174/9619?
-174/9619
Is -156851 < -156849?
True
Is -793 at most as big as -739?
True
Which is bigger: 2402 or 3307?
3
|
{
"pile_set_name": "DM Mathematics"
}
|
- 0 - 8/(-2). Suppose 1251 = -2*b + 1307. Calculate b*z(i) + h*f(i).
-4*i
Let p(h) = 4*h - 3. Suppose b - 4 = -0*u - 2*u, 2*b - 5*u = 53. Let t(s) = 9*s - 7. Calculate b*p(g) - 6*t(g).
2*g
Let w(n) = -5*n**2 + 4*n + 4. Let d(v) = -6*v**2 + 3*v + 3. Suppose 32 + 36 = 17*y. Give y*d(h) - 3*w(h).
-9*h**2
Let z(u) = 2*u - 141 + 75 + 71 - 6*u. Let x = 8 - 11. Let y(o) = -o**3 - 8*o**2 + 21*o + 14. Let g be y(-10). Let s(q) = -5*q + 6. Determine g*z(c) + x*s(c).
-c + 2
Let i(q) = 20*q + 7. Let a(g) be the second derivative of 5*g**3/3 + 2*g**2 - 16*g. Let c(f) = -5*a(f) + 2*i(f). Let n(o) = 3*o + 2. Determine 2*c(u) + 7*n(u).
u + 2
Let a(n) = 3*n + 30. Let t(f) = -3*f - 31. Determine -6*a(x) - 7*t(x).
3*x + 37
Suppose 0 = -4*d + 4*i - 32, -5*d - i - 10 = -0*i. Let y(v) = v + 1. Let c(r) = -4*r - 6. What is d*y(a) - c(a)?
a + 3
Let o(x) = -x - 5. Let d(k) = 414*k + 450. What is -d(b) - 90*o(b)?
-324*b
Let m(d) = -2*d**2 + d + 1. Let b(j) = -3*j**2 - 2*j + 10. Give b(c) - m(c).
-c**2 - 3*c + 9
Suppose -2*q + 5 + 1 = 0. Suppose 4*z + 5*t = 65, -t + 13 = 2*z - 18. Let h(b) = 1. Let a(y) = -y - 5. Give q*a(j) + z*h(j).
-3*j
Let k(u) = -15. Let w(r) = r - 58. What is 9*k(v) - 2*w(v)?
-2*v - 19
Let u(p) = 9*p**3 + 10*p - 1. Let c(s) = 8*s**3 + s**2 + 9*s - 1. Let j(g) = 5*c(g) - 4*u(g). Let k(b) = 6*b**3 + 7*b**2 + 7*b - 2. Calculate 7*j(t) - 5*k(t).
-2*t**3 + 3
Let g(b) = b**3 + b**2 + 1. Let f(w) = 2*w**3 + 2*w**2 + w + 3. Let n(y) = -y**2 + 7*y + 496. Let x be n(26). Give x*f(q) - 6*g(q).
-2*q**3 - 2*q**2 + 2*q
Let z(f) = -1365*f**2 - 112*f - 112. Let h(d) = 124*d**2 + 10*d + 10. Determine -56*h(o) - 5*z(o).
-119*o**2
Let l(x) = 0 + 67*x - 56*x - 8 - 9*x**2 + 0. Let h be (8/(-5))/((-2)/10). Let b(c) = -6*c**2 + 7*c - 5. Calculate h*b(i) - 5*l(i).
-3*i**2 + i
Let h(b) = 2*b + 1. Suppose 7*d + 23 = 2. Let u(r) = -r. Let i(f) = f - 10. Let c be i(6). Calculate c*u(m) + d*h(m).
-2*m - 3
Let d(t) = -7*t**2 + 7*t + 2. Let b(u) = 9*u**2 - 8*u - 2. Calculate 5*b(j) + 6*d(j).
3*j**2 + 2*j + 2
Let a(y) = 3*y**3 + y. Let w(f) = 11*f + 7. Let t(g) = 3*g + 2. Let l(r) = -7*t(r) + 2*w(r). Calculate a(x) - l(x).
3*x**3
Let k(s) = -3*s - 2. Suppose 5*i - 6 = -26. Let m = 10 + -21. Let g(n) = 147 + 8*n + 149 - 291. Determine i*g(q) + m*k(q).
q + 2
Let u(r) = -973*r. Let g(y) = 730233*y. Determine 5*g(w) + 3752*u(w).
469*w
Let h be -2 + (-14)/(-2) + -3. Suppose a - h = 0, -a + 2*a + 4 = y. Let c(q) = q**2 + 5*q - 8. Let s(l) = -l**2 - 4*l + 7. Give y*s(v) + 5*c(v).
-v**2 + v + 2
Let w(a) = -51*a**3 - 14*a**2 + 9*a + 14. Let u(f) = -26*f**3 - 7*f**2 + 5*f + 8. Determine 7*u(o) - 4*w(o).
22*o**3 + 7*o**2 - o
Let q(a) be the first derivative of -7*a**2 + a**2 - 21 - 2*a + 3 + 5*a**2. Let d(h) = -h. Determine -d(g) - q(g).
3*g + 2
Let g(d) = 223*d**3 - 2*d**2 + 7*d. Let u(i) = 112*i**3 - i**2 + 4*i. Give -4*g(j) + 7*u(j).
-108*j**3 + j**2
Let w(d) = 189*d**2 + 12*d - 20. Let p(m) = 65*m**2 + 4*m - 7. What is 11*p(z) - 4*w(z)?
-41*z**2 - 4*z + 3
Let g(b) = b. Let l(d) = -14*d - 2. Suppose 0 = h - 4 + 2. Suppose -15 = h*x - 3*i, -i + 0 + 5 = 4*x. Suppose -j + x + 1 = 0. Calculate j*l(q) + 12*g(q).
-2*q - 2
Let p(w) = 7*w - 3. Suppose 4 = 2*j - 5*n - 16, -5*j + 21 = 2*n. Let f(q) = 6*q - 3. Calculate j*p(c) - 6*f(c).
-c + 3
Let z(r) = 3*r**2 + 3*r - 3. Let u(h) be the third derivative of -3*h**5/20 - h**4/3 + 4*h**3/3 - 38*h**2 - 4*h. Suppose 4*d = -3 - 29. What is d*z(k) - 3*u(k)?
3*k**2
Let m(z) = -3*z**3 - 4*z - 44. Let n(y) = 8*y**3 + 11*y + 132. Calculate -11*m(r) - 4*n(r).
r**3 - 44
Let l(r) = -r**2 - 6*r. Let u(b) = 2*b**2 + 8*b. What is 4*l(i) + 3*u(i)?
2*i**2
Let a(k) = k**3 + 5*k**2 + 6*k + 2. Let b(r) = -4*r + 0*r**2 + 4*r**2 + r**3 + 2 + 9*r. Let l = 24 + 40. Suppose 0 = -14*v + 8 - l. Give v*a(t) + 5*b(t).
t**3 + t + 2
Let j(q) = -q**3 - 1. Let n(x) = -1. Let f = -3 + 5. Suppose 0*m + 4*b - 18 = m, m + 4*b = 14. Let t be (-4)/(-16)*0 + m. Calculate f*j(r) + t*n(r).
-2*r**3
Let v(d) = -1 + 0 + 0. Let r(l) = -l. Let c = 15 + -16. Let p(q) = -3*q. Let w(t) = c*p(t) + r(t). What is 2*v(j) + w(j)?
2*j - 2
Let p(n) = n + 2. Let g be 160/(-12)*(-18)/15. Let l(m) = m - 7 + g - 8. Let z be (-3 - -1 - -4) + -4. Calculate z*p(u) + 5*l(u).
3*u + 1
Let s(n) = 36*n**2 + 16*n + 16. Suppose 3*j + 3*t = 0, -t + 6 = j - 2*j. Let r(p) = 7*p**2 + 3*p + 3. What is j*s(m) + 16*r(m)?
4*m**2
Let w(n) = 4*n - 3 - 16*n + 5*n + 4 + 8*n. Let j(k) be the second derivative of -4*k**3/3 - 3*k**2 + k. Give j(i) + 6*w(i).
-2*i
Let f(u) = -7*u + 3. Let l(c) = -20*c + 10. Determine 7*f(b) - 2*l(b).
-9*b + 1
Let j(r) = 6*r**2 + 7*r. Let y = 1601 + -1602. Let g(k) = -k**2 + k. Calculate y*j(f) + 5*g(f).
-11*f**2 - 2*f
Let o(n) = -3*n + 44. Let j(v) = -2*v + 30. What is -8*j(k) + 5*o(k)?
k - 20
Let w(d) = -145*d**2 - 2 + 295*d**2 - d**3 - 150*d**2. Let b(u) = 2*u**3 - 3*u**3 + 3*u**3 + u**3 + 9. Give -2*b(z) - 9*w(z).
3*z**3
Let w(u) = 16*u - 11. Let s(i) = 13*i - 10. Give 3*s(l) - 2*w(l).
7*l - 8
Let x(o) = 4*o**2 + 10*o. Let d be 2*8/(-20)*5/(-2). Let j(c) be the first derivative of 3/2*c**2 + 0*c + 1/3*c**3 - 5. Give d*x(q) - 7*j(q).
q**2 - q
Let v(x) = -x**2 - x + 1. Let t(h) = -h**3 - 6*h**2 - 6*h + 64. What is t(g) - 6*v(g)?
-g**3 + 58
Let g(v) = v**2 - 50*v - 16. Let c(l) = -33*l - 10. What is 8*c(b) - 5*g(b)?
-5*b**2 - 14*b
Let r(p) = -3 - 4*p - 2*p + 0*p. Let b = -1499 - -1506. Let z(h) = -5*h - 3. What is b*z(a) - 6*r(a)?
a - 3
Let l(v) = -v**3 - v**2 + v + 1. Let c(a) = -4*a**3 - 4*a**2 + 5*a + 6. Let b be (8/(-16))/(10/20). Calculate b*c(d) + 6*l(d).
-2*d**3 - 2*d**2 + d
Let n(g) = 95*g + g**2 + 0 - 99*g + 3 + 3*g**2. Let s(x) = 4*x**2 - 5*x + 3. Determine -5*n(w) + 4*s(w).
-4*w**2 - 3
Let o(s) = 13*s - 14. Let u(n) = -36*n + 40. Let b(r) = 11*o(r) + 4*u(r). Let k(m) = 15*m - 85. What is 85*b(z) + 6*k(z)?
5*z
Let j = 23 + -26. Let r(q) = 0*q + q + 0*q - 1. Let d(h) = -h + 1. Let p(a) = j*r(a) - 5*d(a). Let k(g) = -5*g + 4. Give -4*k(i) - 9*p(i).
2*i + 2
Let z(h) = h**2 - 1. Let g(i) = 12*i**2 + 2*i + 4. Determine g(b) - 4*z(b).
8*b**2 + 2*b + 8
Let s(z) = z**2 + z + 2. Let t(o) = -915*o**2 - 732*o - 1464. Give 732*s(i) + t(i).
-183*i**2
Let l(g) = -4*g**2 + 2*g + 2. Let s(n) = -4*n**2 + 2*n + 3. Let a = -529 - -526. Determine a*l(c) + 2*s(c).
4*c**2 - 2*c
Let v(i) = 5*i + 32. Let l(j) = -6*j - 35. What is -4*l(n) - 5*v(n)?
-n - 20
Let k(m) = -4*m + 5. Let f be ((-9)/(-18))/(0 - (-1)/2). Let s(d) = 1. Determine f*k(q) - 5*s(q).
-4*q
Let u(f) = -3. Let y(d) = 1 + d - 3 + 0. Let v = 30 + -27. Suppose -v = -w - 5. Calculate w*u(r) + 3*y(r).
3*r
Let x(m) = 1543*m + 24. Let i(y) = 4. What is -6*i(h) + x(h)?
1543*h
Let z(x) = 2*x + 15. Let k(y) = 133*y + 239 - 136*y - 254. What is 3*k(f) + 4*z(f)?
-f + 15
Let o(v) be the second derivative of 7*v**4/12 - 5*v**3/2 - 2*v**2 + v + 27. Let a(c) = -4*c**2 + 8*c + 2. What is -11*a(h) - 6*o(h)?
2*h**2 + 2*h + 2
Let d(l) = 3*l - 70. Let w(g) = -30*g + 702. What is 21*d(q) + 2*w(q)?
3*q - 66
Let l(d) be the third derivative of -d**4/12 - 3*d**3/2 - 300*d**2. Let o(n) = -3*n - 14. Give -8*l(b) + 5*o(b).
b + 2
Let a(w) be the third derivative of 0 - w**2 + 2/3*w**3 + 1/12*w**4 + 0*w. Let k(c) be the first derivative of -3*c**2 - 13*c - 576. What is -7*a(g) - 2*k(g)?
-2*g - 2
Let y(h) = 8*h**2 + 48*h - 12. Let f(n) = 5*n**2 + 24*n - 7. Determine 5*f(a) - 3*y(a).
a**2 - 24*a + 1
Let f = 166 - 164. Let n(c) = -c**3 - c**2 + 4*c - 9. Let j(u) = -u + 2. Determine f*n(y) + 9*j(y).
-2*y**3 - 2*y**2 - y
Let l(c) = -5*c**2 - 5*c + 5. Let k(b) = -5*b**2 + 68*b - 2. Let z(t) = -12*t + 1. Let g(q) = k(q) + 6*z(q). Let h = -9 - -5. Calculate h*l(a) + 5*g(a).
-5*a**2
Let q(j) = 2*j**3 + j**2 - 5*j - 4. Let g(u) = 10*u**3 + 6*u**2 - 25*u - 21. Determine -2*g(z) + 11*q(z).
2*z**3 - z**2 - 5*z - 2
Let d(o) = 9*o**2 - 2*o - 4. Let v be 4 + (-4 - 1/(-1)). Let u(m) = m**2 - 1. Determine v*d(z) - 6*u(z).
3*z**2 - 2*z + 2
Suppose 72 = 2*a - 48. Let g(z) = -z - 59*z**2 + a*z**2 + 2 + 1 + 3. Let b(f) = -3*f**2 + 3*f - 17. Calculate 4*b(d) + 11*g(d).
-d**2 + d - 2
Let g(i) = -108*i - 44. Let u(j) = -107*j - 54. Calculate -5*g(t) + 4*u(t).
112*t + 4
Suppose -15 = -2*c + 22*c + 25. Let s(q) = -4*q**2 + 6*q - 4. Let t(h) = -3*h**2 - 2 + 0*h**2 + 3*h + h**2. Give c*s(o) + 5*t(o).
-2
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (-2)/(-7). Which is smaller: 2 or r?
r
Suppose 0 = x - 2*x - 1. Which is smaller: x or 2/233?
x
Let g = -8 + 11. Suppose 2*z - 4*u + 4 = -2*z, -g*u = -5*z - 15. Are -4 and z nonequal?
True
Let d(m) = -3*m - 1. Let t(y) = y**3 + 12*y**2 - 1. Let r be t(-12). Let z be d(r). Let s be -1 - (-6)/(2*1). Is z != s?
False
Let y be (-2)/((-6)/19) - 4. Suppose t - 2 + 0 = 0. Which is smaller: y or t?
t
Let l = -1.4 + 0.4. Is 16 smaller than l?
False
Let l be (-2)/(-5) - (-65)/25. Suppose 3*k + 9 = -2*u, -k + 2 + l = -2*u. Is 1/7 < k?
False
Let o = 4.4 + 0.6. Is 0 != o?
True
Let t(w) = -w**2 + 3*w + 7. Let x be t(5). Let u(d) = -d - 3. Let f be u(x). Suppose f = 5*z - 0*z. Is z <= -1/3?
False
Let c = -617/4 + 3401/20. Let r = -47/3 + c. Let b = 6 + -6. Is b not equal to r?
True
Let q be (2/9)/(5/15). Do q and 2 have different values?
True
Let j = -0.126 - 0.544. Is j greater than or equal to 0?
False
Let v be (-7)/28 + 1/4. Suppose 4*w + w - 2*i - 12 = v, -4*w = -4*i. Are 4 and w equal?
True
Suppose -4*y + 12 = 5*f - 4, f = 2*y - 8. Which is smaller: -3/31 or f?
-3/31
Let y = -0.8 - 0.2. Let w = -10.9 - -11. Which is bigger: w or y?
w
Let p = -10 - 6. Is p greater than -17?
True
Let i be 1/(-1)*(2 - 1). Let n = -135/337 + -12999/15502. Let l = -6/23 + n. Is i at most as big as l?
False
Let v(x) = x**2 - 2*x. Let z be v(3). Let s be (1 - ((-35)/14 - -4))*-6. Is s bigger than z?
False
Suppose 2*k = -2*m + 8, -m + 6*m - 4*k = 47. Let p = m + -4. Is p greater than 3?
False
Let f be (-1)/(-5)*(1 + 1). Suppose 0 = 3*q + 2*d + 22, -5*d + 0*d = 2*q + 22. Let c = q - -7. Which is smaller: c or f?
f
Let f be -3*1/(-3)*1. Let d = -2 - f. Suppose 0 = c - 4, 3*c - 7 = 4*z + 9. Which is smaller: d or z?
d
Let m be ((-16)/(-123))/(-4)*(-3 + 0). Is -1 >= m?
False
Let g(i) = 17*i - 5. Let u be g(-4). Let s = 21151 - 106122/5. Let n = s - u. Is n greater than or equal to 5?
False
Let g = 587 + -2949/5. Which is smaller: g or -3?
-3
Suppose 0 = -3*z + 4*z. Do -1/2 and z have different values?
True
Suppose 2*d - 4*p = 8, -4*d - 3*p = -0*p - 38. Which is bigger: 10 or d?
10
Suppose -3*f = -6*f. Are f and 1/3 equal?
False
Let j = 0.31 - 0.51. Do -0.1 and j have the same value?
False
Let y be 276/(-1113) - (-2)/(-14)*-2. Is y less than or equal to -3?
False
Let f = 2 + 0. Let w = -2 - 8. Let p = w + 9.9. Is f >= p?
True
Let j(s) = 5*s**2 - 4*s. Let t be j(1). Let o be (-2 + 8/5)*-5. Let p be o/4*4/23. Is p less than t?
True
Let i = 39 + -39. Which is bigger: i or 1?
1
Let c = -0.07 - -0.17. Is c at most as big as -0.03?
False
Suppose 0 = -5*l - 6 - 39. Is -11 smaller than l?
True
Let w be 4/(-18) - (-546)/27. Suppose 2*x - 1 - 17 = -4*d, w = 4*d. Is x bigger than -2?
True
Let f be (-2)/5 + (-10835)/(-25). Let y = f - 7363/17. Which is smaller: -1 or y?
-1
Let f = 1658/15 - 110. Is f != 1?
True
Let y = -64 - -38. Is -26 at most as big as y?
True
Suppose 2*f = 4*a - 4, 3 = 3*f - 9. Suppose -2*h = a*h + 60. Which is bigger: h or -11?
-11
Let v = -1 + -1. Let x be (-30)/108*(-2 - 1)*-1. Which is smaller: v or x?
v
Let u be ((-18)/2 + 7)*(-6 + -1). Which is bigger: -1/2 or u?
u
Suppose -s - 20 = -6*s. Suppose 2*f + 132 = 3*p, -196 = 3*f - s*p - 0*p. Let d be (-2)/(-5) - 26/f. Are 2 and d nonequal?
True
Let w(a) = -a**3 + a**2 - 2*a**2 + 0*a**2. Let k be w(-2). Let n = k + 2. Is 5 less than n?
True
Let u = -25.05 - -23. Let z = -0.05 - u. Is z greater than 0.1?
True
Let r = 754 + -1447/2. Let l = r - 31. Is l equal to -2?
False
Suppose 2*w + 3 = -3. Which is greater: w or -1?
-1
Suppose -20 = -5*c - 4*l + 10, -4*c + 4*l = 12. Suppose -6 = -c*n + n. Are 5 and n unequal?
True
Let p(d) = -4*d**3 + 12*d**2 + 4*d + 20. Let b(h) = -h**3 + 3*h**2 + h + 5. Let f(c) = 9*b(c) - 2*p(c). Let j be f(4). Which is smaller: 0.1 or j?
j
Suppose 0 = -j - 3 - 5. Let p = 8 + j. Let l be 0 + 3/(p - 30). Do -1 and l have the same value?
False
Let f = 3/2 + -23/6. Let v be ((-15)/20)/((-1)/(-4)). Are v and f non-equal?
True
Let c be 8*(2 - 9/6). Let o(r) = r**2 + 2*r + 4. Let m be o(-2). Do c and m have the same value?
True
Let p = 19.09 + -19. Let b = -0.257 + -15.843. Let c = b - -16. Is p bigger than c?
True
Let d be (-5)/(-25) + (238/285 - 1). Is d at least as big as -1?
True
Let l(a) = -a**3 - 5*a**2 - 3*a + 1. Let b be l(-4). Let m be 2/(-2) - 6/b. Let u be -1*6/75*-10. Which is smaller: u or m?
u
Let f be 2*(-3126)/39 - -2. Let v = f - -158. Is -1 less than v?
True
Suppose 2*f = -2, 0 = -4*k + 5*f - 0 + 9. Suppose -4*h - 6 = o - 23, -5*h + 2*o + 5 = 0. Is h > k?
True
Suppose -2*x - 19 = -5*k, 0 = -4*x + 5*k - 4*k + 7. Suppose -a = -5*y - 4, -3*a + 2*y = 1 - 0. Let c be 0 + 2 + x*a. Which is smaller: c or -2?
-2
Let h be 15/63 - (-12)/(-21). Let v be (-12 - (-4)/2)*-1. Let n be (2/v)/((-1)/2). Is n != h?
True
Let v(z) = -z**3 - 4*z**2 - z - 3. Let m be v(-4). Suppose -w = -m - 3. Suppose -23 = c + w*j, 3*c - 2*j - 2 = -1. Is c at least as big as -3?
True
Suppose 0 = 13*d - 7*d + 54. Which is greater: d or 2/7?
2/7
Let p be ((-45)/(-18))/(1/(-2)). Let y = p - -4. Which is bigger: -2/15 or y?
-2/15
Let v be -1 - -3 - (-9)/(-4). Suppose 0 = -2*j, 0*d + j = -d - 1. Which is bigger: d or v?
v
Let k(d) = d**2 + 4*d - 1. Let r be k(-5). Suppose 0 = -2*y + 5*v + 16, y + r*y - 2*v - 19 = 0. Suppose -2 = n, 3*t + t = 5*n + 26. Which is smaller: y or t?
y
Let v = -34 + 26. Which is greater: -10 or v?
v
Let w(s) = -s**2 + 6*s + 14. Let q be w(8). Are 0 and q equal?
False
Let h = 0.5 + 2.5. Let f = h + 1. Let l = f - 5. Which is greater: 1/4 or l?
1/4
Suppose 28 - 26 = -2*o. Let r = -2.5 - -0.5. Which is bigger: o or r?
o
Let j = -7 - -10. Let o be (-1)/(j/((-12)/22)). Are o and 0 nonequal?
True
Let z be 1/(-21) + 2/(-7). Let y be 21/9*(-3)/(-1). Let a = -6 + y. Which is smaller: a or z?
z
Let d(m) be the second derivative of 4*m + 1/2*m**3 - 1/20*m**5 + 1/12*m**4 + 0 - m**2. Let r be d(2). Which is smaller: r or 6/7?
r
Suppose 13 = 2*g - g. Is g smaller than 13?
False
Let j = -0.282 + -0.018. Let a = -2.4 + 0.6. Let w = 2 + a. Is w at most as big as j?
False
Let d = -7 - -10. Suppose g - 2*j = 11 - 3, d*g + 4*j + 16 = 0. Let b = 1/35 + 22/455. Is g < b?
True
Let y = 18.07 + -18. Let s = y + 0.33. Is -2/3 <= s?
True
Let l be 830/(-50) - (-2)/(-5). Let j be (-4)/(-34) - 56/(-102). Is l at most j?
True
Suppose w - 4*w = 0. Which is smaller: w or -1?
-1
Let b = -27 + 44. Suppose 2*y = -p - 5, 3*y - 25 = 4*p + b. Which is bigger: -11 or p?
p
Let y(v) = -2*v**2 + 2*v + 1. Let i be y(-1). Let u(n) = 3*n + 28. Let h be u(-10). Which is smaller: h or i?
i
Let a(v) = -v**3 + 2*v**2 + v. Let x be a(2). Suppose 0 = 3*n + x*f, 2*f = -5*n + 3*f + 13. Is 2 at most n?
True
Suppose 10*y - 26 = 36*y. Let l = 1977/13 - 152. Is l smaller than y?
False
Let l = -0.2 + 0.3. Let f = 37/5 + -38/5. Which is smaller: l or f?
f
Let b(t) be the first derivative of t**3/3 - 2*t**2 + 1. Let n be (-44)/(-10) - 2/5. Let i be b(n). Are i and 0 non-equal?
False
Let s(o) = o**3 - 33*o**2 + o - 15. Let x be s(33). Are x and 18 unequal?
False
Let a be -2*((-18)/(-4))/(-3). Suppose 0 = -2*r - 5 + 21. Suppose 4*d = 3*p - r, 0 = 4*p - 3*p - 5*d + 1. Which is greater: a or p?
p
Suppose 2*t - 4*t = 0. Suppose -i = -2*i - 4*c - 7, -2*i - c = t. Let r be (-3*i)/((-9)/(-6)). Which is bigger: r or 0?
0
Let n = 3 + -5. Let c be (0 - (-546)/549) + -1. Let a = c + -544/915. Which is smaller: n or a?
n
Let z be 1/(-2) + 130/(-52). Which is bigger: -19 or z?
z
Let p = 396 + -6730/17. Let c = 9 + -10. Which is smaller: p or c?
c
Let d = -1 + 1.1. Let i = 5.9 - 0.9. Are d and i non-equal?
True
Let n be (3/2)/(18/12). Which is greater: n or 1/42?
n
Let h(b) = -b**2 - b + 5. Let s be h(0). Let q be 8/(-10)*s/(-14). Is q at least 1?
False
Suppose -6*j = -j - f + 9, -15 = 5*j + 5*f. Is -8/11 greater than or equal to j?
True
Let m be -4 + 0 + 39/9. Which is bigger: -3 or m?
m
Let t = 87.1 - 79. Let z = -8 + t. Is z greater than -5?
True
Suppose 38 = -5*q - 5*a + 8, a + 5 = 0. Which is greater: -12/7 or q?
q
Suppose -13*a - 20 = 6. Suppose 2*n = 7*n. Suppose 5*t + 3*g = -4, -2*g = -n*g - 4. Are t and a non-equal?
False
Let s be 3 + (4 + -4 - 11). Is s at most as big as -8?
True
Let x = -86/1105 - 16736/9945. Let z be (-118)/26 - (-3)/1. Let m = x - z. Which is b
|
{
"pile_set_name": "DM Mathematics"
}
|
. Calculate the least common multiple of l(-12) and 5.
65
What is the common denominator of (-12)/(-2) - 831/(-2178)*-16 and -17/66?
726
Suppose -3*d = 13*d - 768. What is the least common multiple of d and 48?
48
Let x = -2428 - -19459/8. Calculate the common denominator of x and 77/54.
216
Let f be (-6)/(-39) - 152/(-26). What is the least common multiple of 16 and 126/8*32/f?
336
Suppose -2*s + 4*s = 2*i + 102, 2*i - 6 = 0. Suppose 3*w - 20 = 2*j, -42 = -7*w + 2*w - j. What is the smallest common multiple of w and ((-4)/3)/((-9)/s)?
8
Suppose -z + 4*p = -3 - 21, -z + 8 = 4*p. What is the smallest common multiple of (3/(-15)*5)/((-1)/2) and z?
16
Let y = 526/297 + -74/27. Calculate the common denominator of 19/12 and y.
132
Suppose 2*g + 0 = -4*t + 4, 2*g = 4*t + 36. Calculate the least common multiple of g/(-20) - 21/(-2) and 20.
20
Let h = -211999877/103930 + -2/155895. Suppose 5*t = 5*p - 10155, 0*t = -t + 4*p - 2043. Let y = t - h. What is the common denominator of 97/20 and y?
60
Suppose 57*h - 134 = 1006. Calculate the smallest common multiple of h and 74.
740
Find the common denominator of (3 + 1443/(-36))*7*7/490 and 0/(-2) + (-46)/12.
24
Let p = -78 - -66. What is the common denominator of (14/10)/(p/(-45)) and -81/10?
20
Let k(z) = z**3 - 2*z**2 + 2. Let c be k(2). Calculate the lowest common multiple of 6 and (16/3)/(c/6).
48
Let p = -1169 + 1199. Calculate the lowest common multiple of p and 90.
90
Let i be (-5972)/8*10/5735. Let d = 62636741/6882 - i. Let k = d + -9080. What is the common denominator of k and 29/7?
42
Let y(r) = -r**3 - 15*r**2 - 15*r - 6. Let g = 24 - 18. Suppose 14 = f + 3*d - 9, -2*f + 4*d = -g. Calculate the lowest common multiple of y(-14) and f.
88
Suppose 0 = 3*t - 4*t + 1, -3*t + 9 = 3*m. Let j = 18 - 12. Calculate the lowest common multiple of -9*(5 - m)*2/(-9) and j.
6
Let w(i) = 15*i + 38. What is the lowest common multiple of w(12) and 2?
218
Let o = -4471/4752 + 1/297. What is the common denominator of -7/8 and o?
16
Suppose -3*d - 4*j + 792 = 0, 55*d + j + 1075 = 59*d. What is the least common multiple of 1 and d?
268
Let a(v) = 30*v**2. Let c(u) = -23 + 4 - 9*u + 12*u. Calculate the smallest common multiple of c(9) and a(1).
120
Let h be 12 + 4*2/(-4). What is the common denominator of (-1 - (-11)/h)*-83 and 5/6?
30
Let o = -108399985/390162 - 4/65027. Let d = 265 + o. Find the common denominator of -67/3 and d.
6
Let g(z) = z - 3. What is the lowest common multiple of (-2 + 8)/((-1)/(-3)) and g(7)?
36
Suppose 3*a = -61 - 371. Suppose -4*r + 45 + 19 = 0. Calculate the smallest common multiple of ((-6)/8)/(3/a) and r.
144
Let y = 5/24 + 607/24. Let n = 241/10 - y. Calculate the common denominator of 1 and n.
5
Let x = -25620 - -563743/22. What is the common denominator of x and 81/1558?
17138
Let w be 143 + ((-4)/10 - 110/(-25)). Let a = w + -1325/9. What is the common denominator of a and 47/24?
72
Let b = 4 + 0. Suppose c - 3*c + b = 0. What is the smallest common multiple of 11 and c?
22
Find the common denominator of 720/385 - (0 - -2) and -17/35.
385
Suppose 0 = 2*m - 2*w + 3*w - 295, -170 = -m - 5*w. Let h = m + -1165/8. Calculate the common denominator of h and -107/22.
88
Let u(t) = t + 12. Suppose 5*q = q. Calculate the lowest common multiple of u(-10) and -1 - (0 + q) - -10.
18
Let w be (-6837)/(-504) - 8/(-12). Let o = -131/14 + w. What is the common denominator of o and 34?
8
Let w = -1885/7 + 73361/273. Let h = 3/4342 + -160699/65130. Find the common denominator of h and w.
195
Suppose 0 = 6*f + 31 - 1. Find the common denominator of -29/8 and (-190)/(-4) + (5 + f - 3).
8
Let l(x) = 3*x**3 - 3*x**2 + 2*x - 40. Calculate the least common multiple of l(5) and 27.
270
Let n(a) = -a**2 + 3*a + 4. Let b be n(5). Calculate the common denominator of (568/48)/((-16)/b) and 79/8.
16
Let y = 26 + -2. Let a(m) = 22*m + 522. What is the smallest common multiple of y and a(-23)?
48
Let i = -23209 - 96217. Let f = i - -14092175/118. What is the common denominator of f and 41/20?
1180
Suppose -3*p - 40 = -p + 4*b, -4 = p - 2*b. Let w = -572/3 - -206. Find the common denominator of w and (3 - 2) + (-110)/p.
6
Suppose -134 = -3*n + l, 4*l - 80 = -2*n - 0*l. Let d be (-316)/n - 2/(-11). Let f = 25/3 + d. Calculate the common denominator of 15/11 and f.
33
Suppose r - f - 5 + 1 = 0, -16 = -4*r + 2*f. Suppose r*h = -26 - 50. Find the common denominator of (-4)/((-37)/h - 1) and 7.
9
Let l = -69991/11644048 - -17/3293. Let u = -268781/53040 - l. Find the common denominator of u and 16/51.
255
Let m = 642/19 - 19028/589. Let y = m + 485/279. What is the common denominator of y and (-2)/(-8) + 111/(-4)?
18
Let u(y) = 2*y**3 - 20*y**2 + 6*y + 10. Let g be u(15). Let t = -13991/6 + g. Let b = 1805/136 - 96/17. Calculate the common denominator of b and t.
24
Suppose 33*f + 40 = 35*f. Calculate the lowest common multiple of 2 and f.
20
Let x = 25 + -35. Find the common denominator of (-237)/(-36)*(-1)/(-1) and (82/x)/((-216)/(-90)).
12
Suppose 21*j - 25*j + 4*m + 176 = 0, 0 = 3*m. What is the lowest common multiple of j and 15?
660
Let p(j) = 7*j + 92. Calculate the least common multiple of p(-12) and 34.
136
Calculate the common denominator of -25/36 and 201/880*(-44)/99.
1980
Let y(u) = 2*u**2 + 6*u + 2. Suppose -s - 11 = 2*c, -20 = 2*c - s + 5*s. Calculate the least common multiple of 3 and y(c).
30
Calculate the lowest common multiple of 18 and 11 + 1*(-4 + -1).
18
Let b = 5/1402 - -3195/86924. Let w = -791/372 - b. Calculate the common denominator of w and 1/24.
24
Suppose -68*k = -60*k - 800. What is the lowest common multiple of k and 6?
300
Suppose -f = 6*f - 49. Find the common denominator of -93/20 and (-79)/(-8)*(f + 450/(-66)).
220
Find the common denominator of ((-6676)/2220 - -3)*(-20)/24 and -56/15.
1665
What is the least common multiple of 170 and (24 - 69)*2*(-2)/3?
1020
Let f = 460836/6955 - -108/535. Let m = f - 14071/208. Find the common denominator of -3/4 and m.
16
Let c = -57100/11753 - -2/1679. Let h(t) = 26*t + 5. Let g be h(-3). Let a = -109 - g. What is the common denominator of c and a?
7
What is the common denominator of (84/(-64))/((-18)/(-40)) and -17/4?
12
Let q(w) = -5*w**2 - 8*w + 1. Let h be q(-4). Let f = 61 + h. What is the common denominator of -71/9 and f?
9
Suppose -54 = -9*n + 3*n. Suppose 0 = 2*r + n - 27. Calculate the lowest common multiple of 30 and r.
90
Suppose 5*z + 70 = -5*s, -3*s = z + 8 + 10. Let v be (-685)/(z/(-15) - 2). Let l = 567 - v. What is the common denominator of 43/10 and l?
30
Suppose 5*v + 37 = -2*x + 5*x, 0 = 2*x - v - 13. Let k be 772/12 - (-4)/6. Suppose -x*o + k - 17 = 0. What is the lowest common multiple of 10 and o?
60
Suppose 6 = 3*c + 2*y, c - 2*y - 1 - 1 = 0. Suppose -c*w = 3*w - 45. Calculate the lowest common multiple of 18 and w.
18
Let z = -2401 - -396158/165. Find the common denominator of 29/220 and z.
660
Let s be (194/(-22) + 12/(-66))/1. What is the lowest common multiple of (s/4)/((-21)/56) and 7?
42
Let t = 74 - 33. Suppose 4 = -37*q + t*q. Calculate the least common multiple of q and 38.
38
Suppose -f = -0*f - 20. Suppose -3*m - 2*m + 1 = -3*s, -3 = -3*s + 3*m. Calculate the smallest common multiple of f and s/(-5) - (-66)/10.
60
Let g(m) = m**2 - 6*m - 16. What is the smallest common multiple of 72 and g(-6)?
504
What is the least common multiple of 110 and ((-2)/6)/(4/48) + 7?
330
Let h be (-4)/10 + (-70772)/120. Let x = -580 - h. What is the common denominator of x and (3/66)/(3/114)?
66
What is the smallest common multiple of 48 and 1 - 58/(10/75*-5)?
528
Let r = 432449/40 - 10809. Calculate the common denominator of r and -33/56.
280
Calculate the lowest common multiple of 78 and (-8304)/(-276) - (-2)/(-23).
390
Let i(p) = 2*p**2 + 75*p + 138. What is the lowest common multiple of 2 and i(-36)?
30
Suppose -2*k = -4*v - 3500, -2*k - k = -3*v - 5238. Let w = 8658/5 - k. Calculate the common denominator of w and -21/50.
50
Calculate the common denominator of -21 and (-26)/(-28) + (-1 - 1) + 2.
14
Let x = 3519/11 - 65003/198. Suppose s + 4 = -0*s - 3*a, 0 = -5*s - 5*a - 30. What is the common denominator of x and (s/154)/((-1)/(-25))?
198
Calculate the lowest common multiple of 20 and (268/4 + 5)/2.
180
Let s = -67811/48
|
{
"pile_set_name": "DM Mathematics"
}
|
3, -3*c = 5*u + 57 for u.
-3
Solve 79 = -5*w + 8*t, -210912*w + 53 = -210916*w + 3*t for w.
-11
Solve 5*l - 65 = -5*k, 7*k - 8*l - 707 = -2*l - 850 for k.
-5
Solve 4*p = -5*l + 3*l + 14*p + 6 - 4, 91*l - 87*l + 22 = 7*p for l.
-9
Solve 2*q - 3*j = -20, 0 = -3*q + 27*j - 21*j - 5*j + 5 for q.
5
Solve 11*o - 12*o + 2*m = 56, 4*m - 124 = -o for o.
4
Solve 5 = t + 3*l, -25*t = l - 7888 + 7985 for t.
-4
Solve 8*v = 4769*t - 4766*t - 26, -2 = 2*t + v + 6 for t.
-2
Solve 52681*m - q + 1 = 52686*m, -q = -5*m + 9 for m.
1
Solve -1076 = 2*r - 1082, 90*q - 348 = 4*r for q.
4
Solve -185*o + 87*o - 4 = -94*o - 2*q, 2*o - 3*q - 2 = 4*o for o.
-1
Solve -2*x - x = -5*v + 46, -38398*x - 5*v + 58 = -38402*x for x.
-12
Solve -3*x - 4 = -3*a - 1, 4572*x - 4567*x - 807 = 411*a for x.
-3
Solve 1114 = 19*x - 22*x + 56*c, -2*x + 4*x + c - 24 = 0 for x.
2
Solve -3*j - 1239 = -207*p, -3*j + 22 = -2393*p + 2396*p + 1 for j.
1
Solve -340 = -3*v + x - 329, 38*v + x - 30 = 0 for v.
1
Solve 23 = -4*u - 49, -2*t - 23*u + 26*u = -0*t - 54 - 8 for t.
4
Solve -p = 9*j - 644 + 610, -6*p + 3*p + 8*p - 10 = -5*j for p.
-2
Solve -2*m + 5*t = -117, -48*m - 47*m = -96*m - 11*t + 18 for m.
51
Solve 10*p - 376 = 5*t + 41*p, -258 = 6*t + 3*p - 183 for t.
-7
Solve -100*l + 1780 - 8379 = -99*l - 264*z, 3*l - 78 = -3*z for l.
1
Solve -20*r - 248 = 64*m - 69*m + 822, 1184 = -22*r + 2*m for r.
-54
Solve -3*k - 4*t = 10, -73*k + 252*t + 166 = 247*t for k.
2
Solve 36*d - 32*d - 23 = -7*c, 9*c - 3*d + 2*d = 7*c + 13 for c.
5
Solve -3*b = -6*b + 4*g + 130, 0 = 4*b + 109*g - 110*g - 39 for b.
2
Solve 0 = -39*v + b + 355, 105*b + 17 = v + 103*b for v.
9
Solve 50 = 3*o + a + 61, -24*o + 15*a = -o - 29 for o.
-2
Solve 0 = -5*u + 5*c + 55, 450525*u - 4*c = 450523*u + 42 for u.
1
Solve 0 = 4*p + 8*c + 394 - 658, -99 = 3*p - 3*c for p.
0
Solve -18*n - 2*f - f = -67*n + 77, 0 = -5*n + 5*f + 205 for n.
-1
Solve -2*o - 100 = 20*w, 2*o - 4*w + 294952 = 294972 for o.
0
Solve -18*q = -p - 7, 5*p + 32*q - 53*q = -53*q - 35 for p.
-7
Solve 10*c + w + 46 = 14*c, 5*w + 166 = -13*c + 17*c for c.
4
Solve 0 = -3*s + 6934*f - 6938*f - 5, 0 = s + 5*f - 2 for s.
-3
Solve 212*h - 59*h + 632*d - 634*d = 296, -4*h + 0*d = -3*d + 7 for h.
2
Solve 0*m + 21*m - 3*h - 274 = 4*m + 7*m, -3*h - 22 = -m for m.
28
Solve 5*s + 6*x - 184 = 4*x, 3 = -603*x + 602*x for s.
38
Solve 0 = -5*i - 4*d - 80, i + 2*i = -5*d + 4953 - 4988 for i.
-20
Solve -4*g + 3*g - 3 = -y, 5528 = 4*g - 3*y + 5536 for g.
1
Solve 2*y + 4*r - 2 = 12, 3*y - 3255 = -r - 3224 for y.
11
Solve -2*v + 9*i - 149 = 0, 3*v - 5*i = 5*i - 5*i - 79 for v.
2
Solve 250*m - 234 - 49 = 3*l + 633, 2*m + m + 128 = 5*l for m.
4
Solve 58 = -6*r + r - 18*a, 72*a = -4*r + 76*a - 28 for r.
-8
Solve -36 = 4*k + 4*z, 2*z + 55 = -3*k - 51 + 82 for k.
-6
Solve 3948*f = -3940*f + 7893*f + 3*s + 35, 19 = 4*f - 7*s for f.
-4
Solve -132 = -3*m - 5*y, 102604 - 102524 = 2*m + 3*y for m.
4
Solve 49 = 10*c - m, -299949*m - 2 = -2*c - 299944*m + 3 for c.
5
Solve 3*o + 113509 = -2*z + 113475, -z - 17 = -2*o for o.
0
Solve -5*s + 5 = -a, -12*s + 3*a - 5626 + 5635 = 0 for s.
2
Solve 4*r + l - 16 = 0, 157*r + 25*l = 161*r - 16 for r.
4
Solve 282*r - 36 = -18*u + 281*r, -3*u - 2*u = 5*r - 10 for u.
2
Solve -2*r + 21 = -6*a + r, -4207219*a = -4207221*a + 3*r - 17 for a.
-1
Solve -171*f + 17 = -176*f - 4*i, -f - 15 = -5*i for f.
-5
Solve 3*k + 3663 = -102*c, 72*k = 72*k + 4*c + 144 for k.
3
Solve 24 = -3*r - 5*d, 32*r = 65*r - 31*r - 5*d - 9 for r.
-3
Solve 82*z - 40*z - 46*z - 60 = -4*r, -8*r = 2*z - 4*r - 30 for z.
-5
Solve 2*a + 14 = 6*a - 5*a + 4*y, 3*a + 2*y - 40 = -2*a for a.
6
Solve -c = -4*o + o + 7, 20 = 4*o + 4 for c.
5
Solve -3*j - 9 = -4*w, 2*w + 2*j + 40 - 59 = -25 for w.
0
Solve -b - 186 = -182, 0 = k + 13*b - 12*b - 11 for k.
15
Solve 57*i + 5*w = 107*i - 46*i - 338, -4*w = 3*i + 258 for i.
2
Solve 13*p - 18*p - 2*t + 40 = 3*t, 7*t + 31*t - 114 = 0 for p.
5
Solve -4*j - j - m - 1 = 0, -150*m = -146*m - 56 for j.
-3
Solve -4*a - 307138*n + 307137*n + 44 = 0, 9*n = 5*a + 396 for a.
0
Solve 5*f - 146 = -39*q + 43*q - 0*f, 90 = -6*f + 9*f for q.
1
Solve -135*x + 132*x = -53*k + 16*k + 175, 2*k - 2*x = 26 for k.
4
Solve 2464*z - 6 - 7 = -3*d + 2462*z, -d + 0*z = -z - 6 for d.
5
Solve -5*g + 3*w + 9 - 77 = 0, -5*w + 104 + 32 = 3*g for g.
2
Solve -5*f - 130 = 0, 14 = -14637*g + 14641*g - f for g.
-3
Solve -12095*j - 8 = 4*s - 12101*j, -1 = -2*s - 4*j - 5 for s.
-2
Solve -16 = -h + 3*r, 30*r + 54 = 3*h + 18*r - 0*r for h.
10
Solve -71*o + 559 = 3*x, 5*x + 7*o + o - 7*o + 7 = 0 for x.
-3
Solve 18746 = f + 18754, 26 = 3*r - f for r.
6
Solve -120 + 29 = 5*f - n - 81, -f + 16*n - 81 = 0 for f.
-1
Solve -5*w + 2*l - 24 = 0, 0 = 2*w + l - 842 + 848 for w.
-4
Solve 15 = -5*g - 5, 3*g = r + 2*r - 9 - 6 for r.
1
Solve -10*w + 9 = k - 6, 0 = -8*k - 8*w + 40 + 8 for k.
5
Solve 2*s + 2*s = -2*n - 36, -3*n = 3*s - 2*s - 0*n + 457 - 453 for s.
-10
Solve -4*z + 1 = 5, -125*z + 216 = 2*s - 339*z for s.
1
Solve 2*j - 31191 = d - 31193, 0 = 4*j + 2*d - 12 for j.
1
Solve -36*m - 2*p - 86 = 0, -78065*p + 29 = -4*m - 78068*p for m.
-2
Solve -9 = -2*q - 13*a + 26*a, -q + 14*a - 4*a = -8 for q.
-2
Solve v + 34 = 5*r + 5, -2*v + 3249*r - 3225*r = 100 for v.
-14
Solve 0 = 5*i - 10676*g + 10681*g + 40, -i - 2*g - 18 = 0 for i.
2
Solve -12*g = -3*u - 45, -4*g - 331 = -339 for u.
-7
Solve 0 = -12*y - 3*z + 69, z = -24 - 3 + 58 for y.
-2
Solve -65*o + 29*o + 36*o = -2*c - 40, 3*o = 62*c + 76*c + 2751 for o.
-3
Solve 9*x + 14*x + x + 10 = 22*x, 0*x - 270 = -5*l + x for l.
53
Solve -3*f + 3*f + 9 = 3*y + 3*f - 4*f, -3*y = -2*f - 21 for y.
-1
Solve 96*y - 92*y - 3*n = -104, -14*y - 9*n = 364 for y.
-26
Solve 14*p - 4*a + 44 = 17*p, 8*p - 13*p = 2*a - 92 for p.
20
Solve 4*u = -5*j + 3*j, 2*j - 30 + 5 = 2*u - 23 - 14 for u.
2
Solve 5*s + 45*c + 9 = 46*c - 8, -4*s = 4*c - 68 for s.
0
Solve -738 - 369 = -140*o + 13, 2*o - 3 + 0 = 2*w + 7 for w.
3
Solve 3*d - 5*z - 60 = 10*z, -4*z - 23 + 10 = 3*d + 3 for d.
0
Solve u + 0*k + 15 = -6*k, 2*u + u - 3*u - 11*k = 23*k + 34 for u.
-9
Solve 5*j - 11*c + 117 - 31 + 123 = 5*c, 4*c - 132 = 4*j for j.
-29
Solve 0 = 3*u + 14*t - 152, -5*u + 2704*t + 50 = 2707*t for u.
4
Solve 0 = 246*t + 3*j + 7322 - 2156, 2*t = 6*t - 2*j + 84 for t.
-21
Solve 16*h = -4*v + 68, -4*h + 116 - 23 = 24*v - 39 for v.
5
Solve 0 = 2*x - 3063*r + 3066*r + 19, 5*x - 3*r = 26 for x.
1
Solve 6*j - 3*i - 85 = 36*j + 9*j + 26, 4*i = 8 for j.
-3
Solve -7*d - 122 = -h - 114, 8*d + 8 = 0 for h.
1
Solve -4*l = -5*b + 20, -5*b + 29575 = -5*l + 29545 for b.
-4
Solve w - 4*z = 6, -11*w - 404*z - 400*z + 806*z - 60 = 0 for w.
-6
Solve -d + 35 = -5*c + 4*d, -5*c - 135 - 280 = -81*d for c.
-2
Solve -3*d + 5*v = -46, 0 = -3*d + 5*v - 7*v - 14 + 4 for d.
2
Solve -75*y = 2*c - 2173, 5*c + y - 7*y + 150 = -5*y + 4*y for c.
-1
Solve 70963*u - 70959*u + 27 = -5*v, -15*v - 151 = 2*u for u.
7
Solve -20 = -4*f, -5*y - 3*y - f - 39 = -7*y for y.
-44
Solve 926 = 3*w + 941, 5*h + 265 = -63*w for h.
10
Solve 9*h - 21 + 23 = 2*m + 7*h, -23*h = -m - 21 for m.
2
Solve 12*l - 14*l - 46 = -5*y + 5, 480 = 54*y + 2*l for y.
9
Solve 58 = -2*j, 224 + 282 = -r - 3*j + 417 for r.
-2
Solve 0 = -16767*p + 16764*p + 5*w + 89 - 135, 4*p - 2*w = -38 for p.
-7
Solve -5*z - 1211*f + 1206*f + 22 = -3, 3*f = 5*z + 23 for z.
-1
Solve -5*p + 15 = 0, -3*l + 377*p - 379*p + 48 = 0 for l.
14
Solve 6*b = -5*v - 195 - 360, -6*b + 11*b = 4*v + 2*b + 444 for v.
-111
Solve d + 50 = 3*d, 0 = -v - 3*d - 230*d + 5825 for v.
0
Solve d - 817*v + 812*v - 27 = -5, -93*d - 4*v + 1577 = 0 for d.
17
Solve -5*q = 73086*t - 73085*t + 6, 14 = -9*q - 5*t for q.
-1
Solve 28*s - 627*u + 1 = 27*s - 626*u, u = 3*s - 1 for s.
1
Solve -1967*a = c - 3*c - 1969*a + 12, -5*a + 198 = 61*c for c.
3
Solve 13*w - 16 = 5*g, 3*w + 4 = -10*g + 31*g - 16*g for w.
2
Solve -3*i + 2*h = -5, 0 = -18*i - 232*h + 227*h - 38 for i.
-1
Solve -6*v + 7*v + 3*y - 98 = 0, 10897*v - 10896*v - 132 = -4*y for v.
-4
Solve u + 28206 = 5*l + 28196, -6*u = 0 for l.
2
Solve -53*p + 3*r = 38*p - 95*p + 81, 0 = 10*p + 3*r - 81 for p.
0
Solve 15*p + 2*o = 482, 4*p - 1279*o = -1283*o + 132 for p.
32
Solve n - 64*x + 82*x - 161 = 0, 3*n + 0*x - 6*x + 48 = -x for n.
-1
Solve 4*t + 116 = 166*k - 374, 0*t - 30 = -2*t - 26 for
|
{
"pile_set_name": "DM Mathematics"
}
|
ive n(0).
79
Let u = 18 + -3. Let q be (-43)/(-5) - (-6)/u. Let a = q + -9. Let j(s) = s**3 - s**2 - 5. Determine j(a).
-5
Let v(m) = -m**2 + 10. Let g be v(-3). Let c(b) = 8*b + 4. Let l(q) = 7*q + 3. Let p(o) = 2*c(o) - 3*l(o). Determine p(g).
-6
Let r(b) be the third derivative of b**7/840 - b**6/360 - b**5/60 - b**4/12 + 16*b**3/3 - 5*b**2. Let p(v) be the first derivative of r(v). What is p(3)?
10
Let y(s) = -s**3 + 2*s**2 - 2*s. Let q be (182/273)/(1/3). What is y(q)?
-4
Let m(k) = 3*k + 1. Let u be m(4). Let h = -10 + u. Let r(t) = -6 + h*t - 6*t**2 + t - 4*t + t**3. Determine r(6).
-6
Let f(x) = 5*x + 9. Let v = -11 - -8. Let r be f(v). Let l(y) = -2*y - 2. What is l(r)?
10
Suppose 3*a + 6 = 6*a. Let m(l) = 25*l - l**a - 3 - 20*l + 4. Let k be 16/3 - (-1)/(-3). Calculate m(k).
1
Let l(v) = 2*v**3 - 2*v + 2. Suppose -9*z + 7 = -2. What is l(z)?
2
Suppose -3*u + 54 = 2*u + 2*j, -j = -2. Let k(x) = 12*x - 14*x + x + 5. Determine k(u).
-5
Let f(q) be the third derivative of -q**4/24 + q**3/3 + 2*q**2 - 25. Calculate f(2).
0
Let g(l) = 2*l**2 + 2*l + 2. Let k be g(-1). Let t(z) be the third derivative of 4/3*z**3 + 0*z + 0 + 1/24*z**4 + 6*z**k. What is t(-5)?
3
Let c(x) = x**2 - 2. Let y(j) = 5*j - 14. Let r(a) = -4*a + 13. Let w(g) = -4*r(g) - 3*y(g). Let b be w(8). Determine c(b).
2
Let g(k) = 9*k**3 + 7*k**2 - 5*k - 12. Let c(o) = -10*o**3 - 6*o**2 + 4*o + 10. Let j(b) = 6*c(b) + 5*g(b). Calculate j(-1).
15
Let s(q) = 3 - 3*q + 2*q - 2*q + 6*q - 2*q. Determine s(7).
10
Let s(o) = 18*o - 9*o - o**2 - 7 + 0. Let l be s(7). Let p = l + -1. Let f(j) = j - 6. Give f(p).
0
Let u(o) = -6*o + 13. Let t = 2127 + -2131. Determine u(t).
37
Let g(o) = -o**3 - 3*o**2 + 6*o - 2. Let y be (6/10 - (-52)/80)*-4. Calculate g(y).
18
Let u(v) = -v**3 + 5*v**2 - v + 7. Let o = 217 + -214. Let b be 0 + 2 + (2 - 4). Suppose b*p = -o*p + 15. Give u(p).
2
Let h(c) be the second derivative of 2*c**3 + c**2/2 + 2*c - 28. What is h(-1)?
-11
Let p(u) = 2*u**3 + 3*u**2 + 1. Let v(n) = 4*n**3 + 4*n**2 - 2*n + 1. Let y(k) = -3*p(k) + v(k). Determine y(-2).
-2
Let c(l) = 1. Let b(i) = 32*i**2 + i + 2. Let o(t) = -b(t) + 3*c(t). What is o(1)?
-32
Suppose -y + 63 = 3*i - 6*y, -4*i + 2*y + 84 = 0. Let w(v) = v**2 - 19*v - 38. Let q be w(i). Let b(g) = -g**3 + 2*g**2 + 3*g + 4. Determine b(q).
-16
Suppose u + u = -4*h + 74, -u + 3*h = -22. Let c = 32 - u. Let q(k) = 23*k. Give q(c).
23
Let s = 30 - 17. Let u = s + -6. Let v(y) = -42*y + 2. Let z(b) = -85*b + 5. Let d(a) = -2*v(a) + z(a). What is d(u)?
-6
Let a(d) = -d**2 - 9*d - 4. Let l = 346 - 355. Determine a(l).
-4
Let w(n) be the second derivative of -2*n**5/5 - n**4/6 + n**3/3 - n**2/2 + 19*n + 1. Determine w(1).
-9
Let j(i) = -2*i - 3089 + 3089 + 7*i. Give j(-1).
-5
Let z(f) = f**3 + 3*f**2 + 3*f + 2. Let c be z(-2). Let h be 7/14*(c + 6). Let l(n) = -n**3 + 2*n**2 + 2*n + 1. Determine l(h).
-2
Let g(f) = f**3 - 7*f**2 + 4*f + 2. Let y(c) = 2*c + 17. Let p be y(-10). Let i(l) = l**2 - 4*l - 3. Let u be i(p). Let o = u - 12. Determine g(o).
-10
Let j(d) = -8*d**3 + 22*d**2 - 6*d + 9. Let f(w) = -3*w**3 + 8*w**2 - 2*w + 3. Let u(l) = -11*f(l) + 4*j(l). What is u(2)?
7
Let d(l) = l**2 + 14*l + 5. Let c be d(-13). Let s be 92/28 - c/(-28). Let h(i) = 7*i - 11*i - s + 6*i. Give h(3).
3
Suppose 12 = -4*t, 26 = 5*q - 5*t + 3*t. Let x = -9 + q. Let r(m) = -6 + 6*m + m**2 + 0*m - 3*m. Determine r(x).
4
Let x(i) = -i**3 + 7*i**2 - 8*i + 9. Suppose 3*v - 56 = -v. Let n = v + -14. Suppose 11 = r + b, -r - 5*b + 9 + 22 = n. What is x(r)?
-3
Let x(z) = -4*z**3 + 1. Suppose 4 = -i + 2, 5*y - 11 = 3*i. Determine x(y).
-3
Let x(j) = 7*j**2 - j + 2. Let v be (6 - 18)/(-4) - 1. Determine x(v).
28
Suppose u + 1 = 11. Let m(a) = 3*a + u - 8 - 2. Determine m(2).
6
Let z(s) be the third derivative of -s**8/6720 - s**7/504 + s**6/720 - 3*s**4/4 + 7*s**2. Let g(t) be the second derivative of z(t). Give g(-5).
-5
Suppose -9 + 0 = -4*r - i, -2*r + 3*i = -15. Let g(h) = 7*h - 6. Determine g(r).
15
Let z(p) = -p**2 + 5*p + 2. Let y be z(5). Let a(k) = -6*k + k**2 - y*k + 9 - 5*k + 2*k. What is a(9)?
-9
Let d(u) = u**3 - 4*u + 5. Let y be d(2). Let b = y + -11. Let p be (-12)/(-9)*(b + 3). Let m(w) = -w**3 - 4*w**2 + 3*w + 1. What is m(p)?
-11
Let u(l) = 3*l - 1. Let z = 23 - 10. Let s = 15 - z. Calculate u(s).
5
Let r(s) = -33*s - 21. Let j(p) = 8*p - 11*p - 5*p + 0 - 5. Let b(k) = -21*j(k) + 5*r(k). Calculate b(-2).
-6
Suppose 0*r + r - 6 = 0. Let b(m) = -r - 2 + m**2 - 7*m + 9. Give b(5).
-9
Suppose 43*l + 43 + 43 = 0. Let p(r) be the second derivative of r**5/20 + r**4/8 - r**2/2 + r. Let t(f) be the first derivative of p(f). Determine t(l).
6
Let w be 55/4 + 11/44. Let s(j) = -2*j - 1. What is s(w)?
-29
Suppose -4*q - 2*s + 2 = 0, -4*s - 35 = -0*q - 5*q. Let g(i) = 5*i**2 + 11 + i**q - 36 - 8*i + 23. What is g(-6)?
10
Let n(y) = -4*y + y - y - 2. Let q(c) = c**3 - 11*c**2 - 6 - 5*c**2 - c**2 - 28 + 18*c. Let s be q(16). What is n(s)?
6
Suppose -3*v + 8 = -4. Let z be ((-1)/v)/(5/(-40)). Let r(i) = -3 + 0*i**2 + 2*i**2 - i**2 + 4*i + 0*i**z. What is r(-5)?
2
Suppose -55*x = -53*x - 18. Let y(v) = -v + 6. Give y(x).
-3
Let d(r) = -55*r - 7 - 52*r + 1 + 102*r. Give d(-4).
14
Let a be (-2 - (1 + 0)) + 0. Let r(j) = 42*j + 2. Let q(o) = -9*o - 1. Let u(d) = -5*q(d) - r(d). Give u(a).
-6
Suppose -55*a - 192 + 82 = 0. Let u(l) = -16*l. What is u(a)?
32
Let y be 1/(2/4) + 0. Let c be y/(-5) + (-24)/(-10). Let h(v) = -5 + v + 2 - 2 - 4*v + 6. What is h(c)?
-5
Let m(x) = x**3 - 4*x**2 - 7*x + 1. Let s(l) = -l**2 + 24*l + 150. Let r be s(29). Determine m(r).
-9
Suppose -6*o + 9*o - f = 43, 3*o = 4*f + 46. Let g(s) = -s**2 + 15*s - 19. Determine g(o).
-5
Let c(x) = -3*x - 1. Suppose 0 = -3*k + 15, -4*h + 3*k = -0*k + 3. Let v be 1*h*(3 + -2). Suppose 0*z - z = -i + 7, v*i - z = 11. Determine c(i).
-7
Let w(j) = 2*j + 13. Suppose -3*x - 53 = -26. What is w(x)?
-5
Let y(u) = -3*u**3 - u**2 + 25*u - 10. Let p(i) = -i**3 - 3*i**2 + 2*i - 1. Let k(t) = 4*p(t) - y(t). Give k(-9).
-3
Let n(g) = -2*g**3 + 7*g**2 + 5*g - 4. Let v be 1/((-4)/(-16) + (0 - 0)). Calculate n(v).
0
Let y be (-34)/(-6) + (-8)/12. Suppose 2*g + y = -3*g. Let d(m) be the second derivative of -m**5/20 + m**4/12 + m**3/6 + m. Calculate d(g).
1
Let s(h) = -h - 2. Let d = -151 - -157. Give s(d).
-8
Let x be ((-7)/(-3))/(2/(-6)). Let q = 4 + x. Let k(m) be the first derivative of -m**4/4 - 2*m**3/3 + m**2/2 + m + 6. Give k(q).
7
Let u be 1/((-4)/2 - -1). Let c(f) = 5*f - 7. Suppose 0*a = 2*a - b + 10, -15 = 3*a + 3*b. Let q(k) = 3*k - 5. Let h(p) = a*c(p) + 7*q(p). What is h(u)?
4
Suppose 5*r - 2 - 10 = g, 24 = -2*g - r. Let h(w) = w**3 + 11*w**2 - 14*w - 13. Calculate h(g).
11
Let w(f) = -f**2 - f + 1. Let s = 163 - 162. Let t(i) = -i**3 + 2*i + 5*i**2 - 3 + 5*i - 2*i**3 - 3. Let v(m) = s*t(m) + 6*w(m). Calculate v(1).
-3
Let u(l) = -3*l**2 + 5*l + 6. Let o(r) be the first derivative of 8/3*r**3 - 18*r + 3 - 8*r**2. Let p(b) = -4*o(b) - 11*u(b). Determine p(-8).
-2
Let g(s) = -s**3 + 5*s**2 + 3. Let x be g(5). Suppose -3*k - 2*q + 80 = 2*q, 85 = x*k + 5*q. Let a be 3/(-36)*-3*k. Let v(i) = -i - 3. Give v(a).
-8
Let n(u) be the second derivative of -5*u**4/12 - u**3/6 + u**2 + 92*u. What is n(1)?
-4
Let y = 115 - 125. Let n = -31 + 20. Let o = n - y. Let m(s) = 2*s + 1. What is m(o)?
-1
Let f(j) be the second derivative of 11*j**3/6 + 2*j. Let m = -43 + 13. Let p = -31 - m. What is f(p)?
-11
Suppose -3*h - f - 2 = 0, 0*h - 4*h = 2*f + 4. Suppose -5*p - 2*i = -33, 9 = p - 2*i + 3*i. Let g(w) = -6 - 7 - w + p + h. Calculate g(0).
-8
Let f(u) be the second derivative of u**5/20 + u**4/2 + 7*u**3/6 + u**2 + 82*u. Suppose -5*z - 4 - 16 = 0. Let x be f(z). Let t(v) = -v + 7. Determine t(x).
1
Let t(y) = -y**2 + 5*y + 1. Let s be 6/2 + (-7 - 3). Suppose 2*w + 8 = -20. Let l be (-6)/w - 25/s. What is t(l)?
5
Suppose -n - 8 = n. Let y(b) = b**3 + 5*b**2 + 3*b - 4. Let d be y(n). Suppose -s = 0, q = s - d*s. Let l(g) = g**3 - 8. Determine l(q).
-8
Suppose 4*m - 3 = 1. Suppose -z + m = -0. Let j(c) be the first derivative of -5*c**3/3 + c**2 - c - 2. Calculate j(z).
-4
Let r(n) = 7*n - 15. Let u(a) = 11*a - 23. Suppose 0 = -5*m + 45 - 20. Let s(z) = m*u(z) - 8*r(z). Determine s(5).
0
Let p(h) = h +
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 7*q - 48. Let o be i(-13). Let a be (3/(-3) - -2) + 17. Is 31505/o + -1 - 3/a a prime number?
True
Suppose -29*v - 38676 = -18*v. Let p = 498 - v. Suppose -5*z = p - 18219. Is z a composite number?
True
Let d(n) = 2*n**2 - 11*n + 14. Let i be d(4). Suppose -6*l = -i*l - 2476. Is l a composite number?
False
Suppose -1940248 = -11*a - 8*a - 253827. Is a a prime number?
False
Let w(u) = 635*u**2 + 8*u - 17. Suppose 2*c - 13*t + 10*t - 13 = 0, 0 = -4*c - 2*t + 2. Is w(c) a composite number?
False
Is (70/15)/(-2*5/(-83535)) composite?
True
Let v = -193 - -188. Let y(k) = -86*k + 16. Is y(v) a composite number?
True
Let f(h) = 254*h. Let s be 3*(3/9 + 0) - 0. Let y be f(s). Suppose 8*l = 10*l - y. Is l prime?
True
Suppose -43124 = -5*j - 12544. Suppose -20165 = -9*c - j. Is c prime?
False
Let s(w) = w**3 - 26*w**2 - 56*w + 5. Let f be s(28). Suppose 2*x - 3*t = 11241 + 10063, -x = f*t - 10626. Is x prime?
False
Suppose -27*d + 603974 = -853243. Is d prime?
False
Let p(c) = 52*c**2 + 3*c + 9. Suppose -13 = -4*h + 3. Is p(h) a composite number?
False
Let o be (-3 - -5 - 1)/(2/28). Suppose 0 = -a + o + 2. Is 10398/(-4)*a/(-24) a composite number?
False
Let v be 3/5 - 11/(-220)*-12. Suppose n + 4*w = 7*w + 2197, v = -5*n - w + 11017. Is n composite?
False
Let g(q) = 6*q - 6*q**2 - 4*q - 36 - q + 7*q**2. Let k be g(5). Is (0 + (-1)/k*-2)*-753 prime?
True
Suppose 0 = 3*i - 2*w - 737, 22*i + 7*w = 17*i + 1280. Is i composite?
True
Let h(p) = 48*p**2 - 31*p - 206. Is h(-45) prime?
True
Let c = -1 + -10. Let b(h) = 18. Let m(q) = 76*q + 93. Let o(y) = 6*b(y) - m(y). Is o(c) a composite number?
True
Let a = 239038 - 127011. Is a composite?
True
Suppose -805 = 7*k - 0*k. Let p be k/92*(21 - 2)*-48. Suppose 4*q = 2*g - 746, 0*q - p = -3*g - q. Is g a prime number?
True
Suppose 4*j - 5 = -1. Let i be (8/12)/(j/3). Is (i/(-4))/((-11)/20438) prime?
True
Let j(p) = 6*p**2 - 8*p + 3. Let m be j(3). Suppose -6*o - 39 = m. Is 2/((8/o)/((-446)/6)) prime?
True
Suppose 0*g - 119191 + 9486 = -5*g. Is g a prime number?
False
Let d = 79032 + -14081. Is d composite?
False
Let x(h) = 242*h**2 - 6*h - 4. Let g(y) = 81*y**2 - 2*y - 1. Let t(d) = -10*g(d) + 3*x(d). Let b be t(1). Let n = 127 + b. Is n a prime number?
True
Let t be (-7 - (-78)/12)/(2/68). Let l(m) = -173*m + 33. Is l(t) a composite number?
True
Let p be 6*-2*((-5)/(-6) - 1). Suppose -941 = -p*y - 2*y - q, 2*y - 467 = 3*q. Is y composite?
True
Is (-4)/(-1) + -1 + -3 + 45247 composite?
False
Suppose -3*o + 44 = -16. Is -4 + 5563 - (-8)/o*-5 composite?
False
Let y(m) = -320*m**3 + 4*m**2 + 8*m - 20. Let a be y(5). Is (-2*12)/(60/a) - 5 a composite number?
True
Suppose 4*n = 271 - 91. Let g = 616 - n. Is g prime?
True
Suppose -347167 = -g - 5*k, -5*k - 118590 = -3*g + 922951. Is g composite?
False
Suppose 5*b - 316 = 184. Let c be b + ((-16)/4)/(-1). Let t = c + -51. Is t a prime number?
True
Let b(j) = -14160*j + 1693. Is b(-15) composite?
True
Let l = -3504 - -1988. Is 9/(-2)*l/6 a composite number?
True
Is 2321585/135 - 22/(-297) prime?
False
Let j = 29 - 27. Suppose v + j*n - 10 = n, 0 = v - n. Suppose -3*o - 904 = -q - 6*o, 4*q - v*o - 3531 = 0. Is q a prime number?
False
Suppose -13*l + 20*l - 4914 = 0. Let h = l + -147. Suppose h = y - 8. Is y composite?
False
Suppose -5*l = -5*w - 18485, 8438 = -3*w + 2*l - 2648. Let u = w + 10614. Is u composite?
True
Let x = -106911 - -174848. Is x a prime number?
False
Let f = -17 - -29. Let l be (-15)/f + 1 + (-25)/(-4). Is (10444/l)/(16/24) a composite number?
True
Suppose -395868 = -79*h + 67*h. Is h prime?
False
Suppose 32*p - 2029 = -4*c + 37*p, -c - 3*p = -486. Is c prime?
False
Let p(k) = 552*k**2 - 2*k - 7. Suppose -n + 3 - 2 = 0, 0 = 3*l + 5*n + 4. Is p(l) composite?
False
Let j be ((-6)/(-15))/((-6)/60)*-2. Suppose -26 = -4*m - j*t + 3*t, 2*m + 3*t - 14 = 0. Suppose -4441 = -3*v - 5*l, m*l - 6572 = -5*v + 821. Is v prime?
False
Let b be (-9)/6*-1*536. Let a be (0 + -2 - -786)/(34/68). Suppose -5*f - a = -2*s, b = s - 5*f + 15. Is s a composite number?
True
Let d = 6416 + 34221. Is d prime?
True
Let r be (-18)/(-45) - (-3846)/10. Let a(i) = 5 + 174*i + r*i + 77*i. Is a(2) a prime number?
True
Suppose 4*u - 28 = -3*d, u + u - d - 4 = 0. Suppose o = -3*o + 16. Suppose 5*s + 7*q - u*q - 3844 = 0, 0 = -o*s + 2*q + 3062. Is s a composite number?
True
Suppose -3*v + 210243 + 523344 = 0. Is v prime?
True
Suppose -2160470 = 252*k - 278*k. Is k a composite number?
True
Let q be 32/(-12) + 2 - 2/(-3). Let s be q + (-3 - -2) + 4193. Suppose 0*o + o = -r + 1047, 4*o = -5*r + s. Is o prime?
False
Let a(v) = -95*v + 73. Let k(b) = -8*b**2 + 3*b + 2. Let y be k(-2). Let x be (-8)/y + 0 - 110/9. Is a(x) a prime number?
True
Let l(t) = -t + 1. Let y be l(13). Let u(f) = -f**2 - 15*f - 36. Let i be u(y). Suppose p + 13*p - 16674 = i. Is p composite?
True
Suppose -5*f + 1810 = 3*j, -2367 = -5*j + 5*f + 623. Suppose -a = 2*i - 189, -207 = 4*i - a - j. Is i composite?
False
Let a be -6*(6/126 - (-6)/21). Let t(z) = -66*z - 3. Let n be t(3). Is n/a*(-4)/(-6) a composite number?
False
Let c = -5253 - 623. Let w = 18073 + c. Is w a composite number?
False
Let g(v) = -107*v**3 + 14*v**2 + 261*v + 1. Is g(-13) a prime number?
False
Suppose -x + 5 = 0, -32*w + 34*w + 4*x - 4371798 = 0. Is w composite?
False
Suppose -67*v + 13178991 = 80*v. Is v composite?
False
Suppose 393807 = 3*n - 5*t, 132*n + 656345 = 137*n + 2*t. Is n prime?
False
Let z = -2227 + 5166. Is z a prime number?
True
Let f(c) = 5*c + 6. Let t be f(-2). Let w be -5 - 16/t - 758. Let z = w + 1472. Is z prime?
False
Let c = 102 - 58. Let k = c - 45. Is (-4 - -2)/(-2) + (-816)/k prime?
False
Let n be 42/6 - 5/((-5)/4). Suppose -3*y + 9 = 4*z - n, 4*y - 22 = -3*z. Suppose -k + y*b = -1237, b = 7*k - 2*k - 6204. Is k prime?
False
Suppose -6*t + 3*t = q - 59759, -2*t + q = -39836. Is t prime?
True
Let n(j) = -3*j**2 - 10*j + 4. Let f = 66 - 70. Let p be n(f). Is 2720/28 - p/(-28) a prime number?
True
Suppose -3*v = -d - 8, -2*v - 4*d = 17 + 1. Let r(b) = 428*b**3 + b - 2. Is r(v) a prime number?
False
Let p = 34 - 44. Let w be (-4 - 0) + (-170 - p). Let y = -81 - w. Is y prime?
True
Suppose -d - 908 = -2*a - 0*a, -3*a - 4566 = 5*d. Let o = d - -1516. Let v = 1103 - o. Is v prime?
True
Let w(a) be the third derivative of 257*a**4/24 - 3*a**3/2 + 4*a**2. Let q be w(3). Is (2/(-4))/((-1)/q) composite?
True
Let q(c) be the second derivative of -1833*c**3/2 + 32*c**2 + 217*c. Is q(-3) a prime number?
True
Suppose -u = 3*r - 20, 5 = -6*u + 11*u - 4*r. Suppose -6*x + 7*x + u*d = 3925, -4*d = -4*x + 15748. Is x prime?
False
Suppose -k = -3*k + m + 71, -87 = -3*k - 5*m. Let s be 1/7 - k/(-7). Suppose 0 = 5*y - 0*v + s*v - 1495, -279 = -y + 4*v. Is y a composite number?
True
Suppose 416*i - 408*i = 1736472. Is i a composite number?
True
Let n = 248 - 244. Suppose h = n*f - 10134, 3*h + 5433 = 5*f - 7238. Is f composite?
True
Suppose 67707 + 85488 = 21*y. Is (-2)/(-3) + (-6 - y/(-15)) prime?
False
Suppose 0*g + g = 2*j - 10, -g - 16 = -4*j. Let s(z) = -2012*z + 237. Is s(g) a prime number?
False
Let p be (-3)/(-2)*(-20)/15. Let a be (-69561)/(-81) + p/(-9). Suppose 2*b = -2*b + 2*q + 1182, -3*b = 4*q - a. Is b a prime number?
True
Let t be -1*((-3)/24 + 62/(-16)). Suppose -t*h = -0*h - 30988. Is h a composite number?
True
Let w = 343 + -325. Is (18 - w) + (8654 - (2 + -1)) a prime number?
False
Let u = -27942 + 41687. Suppose -20*b = -25*b + u. Is b prime?
True
Let l(a) = -479*a**2 - 43 + 241*a**2 + 15*a + 241*a**2. Is l(-13) a prime number?
True
Suppose 20*q + 255929 = -17*q. Let g = 11234 + q. Is g prime?
False
Let o = 835 + 9535. Let a = -6011 + o. Is a a prime number?
False
Let i = 38 + -36. Suppose 0 = i*s - 0*s, 0 = -3*o + 5*s. Let j(n) = -n**3 + 1277. Is j(o) composite?
False
Suppose 38*g = 39*g + 3*y - 58432, 21 = 7*y. Is g a composite number?
True
Let y = -7360 + -2638. Let p = y - -21013. Is p composite?
True
Let o(y) = -11990*y + 3759. Is o(-52) a composite number?
True
Suppose -2*u - 92410 = -2*g, -u - 230977 = -5*g - 4*u. Is g composite?
False
Let o(r) = r**3 + 26*r**2 + 12*r + 12. Let k = 11 + -39. Let n = 15 + k. Is o(n) composite?
False
Suppose 0 = 2*m - 9 - 11. Let g = m + -2. Suppose 2225 = -g*j + 13*j. Is j a pri
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 3*p**2)*(0*p**3 - 7*p**3 - 3*p**3) - 2*p**5 - p**4 + p**4.
-36*p**5
Expand (5*j**2 - 6*j**2 - 2*j**2)*(-3 + 3 + 4*j)*(34*j - 15*j + 1 - 16*j).
-36*j**4 - 12*j**3
Expand (1 + 4 - 3)*(-3*a**2 + 3*a**2 - 2*a**2)*(a + 3 - 3) + (-1 + 1 + a)*(0*a**2 - 6*a**2 + a**2).
-9*a**3
Expand (-4*o**2 - o**2 + 6*o**2)*(2*o - 5*o + 2*o) + 2*o + 16 - 16 + 24*o**3.
23*o**3 + 2*o
Expand (2*d**5 - 3*d**5 + 3*d**5)*(2 + 3 - 4) + 2500*d**5 - 1269*d**5 - 1286*d**5.
-53*d**5
Expand (2 - 2*u**2 - 2)*(2*u - 3 + 3) + 0*u**3 - 2*u**3 + 4*u**3 + (2 - u - 2)*(-12*u + 12*u - 8*u**2) + (12 - 12 - 3*u)*(u - 10*u**2 + 9*u**2 - 10*u**2).
39*u**3 - 3*u**2
Expand (-k**3 + k**3 - k**3)*(0 - 3 - 7)*(7*k**2 + 6*k**2 - 4*k**2).
90*k**5
Expand (-1 + 1 - 2*u)*(11 + 15 - 6) + u + 2*u - 2*u - u + 0*u + 0*u + (-2 + 6 - 2)*(0 - 2*u + 0) - 2*u + 2*u - u.
-45*u
Expand 6*z + 7*z - 4*z + (-1 + 2 + 0)*(0*z + 0*z + 2*z).
11*z
Expand (-9*z**5 - 102*z**2 + 102*z**2)*(-10 + 1 + 0).
81*z**5
Expand (-5*l - 43 + 43)*(0 + 0 - 2*l) + 25*l**2 - 2*l**2 + 4*l**2 + (-3*l + 0*l + 2*l)*(-1 - 2*l + 1).
39*l**2
Expand -60 + 26*i + 60 + 742*i - 130*i + (-1 - 1 + 1)*(4*i - 4*i + 5*i).
633*i
Expand (g + 5 - 6 + 5)*(-316*g + 74*g + 158*g).
-84*g**2 - 336*g
Expand 5*f - 2*f - f + 3*f - f - f + (-4*f + 6*f - f)*(-2 + 1 - 1) - 1 - 2*f + 1 + 264 - 264 + 35*f.
34*f
Expand (-2 + 2 - 2)*(-13*m + 9*m - 21*m) + (-4 + 5 + 1)*(-m + 2*m + 2*m) + m + m + m.
59*m
Expand 11*r - r**4 - 11*r + 12*r**4 + 12*r**4 + 8*r**4 + 2*r**4 + 2 - 2 + (-2*r**3 - r + r)*(-3*r - 2*r + 3*r) + 0*r**4 + 3*r**4 - 5*r**4.
35*r**4
Expand (-f**2 - 3*f**2 + 2*f**2)*(-5 + 2 + 2) + (f - 4*f + 6*f)*(317 + f - 317) - 6*f**2 - f + f.
-f**2
Expand (-3 - 1 + 2)*(z - z - 2*z + (1 + 0 + 1)*(2*z - 3*z - z) - 3 + 3 + 5*z) - 152 - 18*z + 152.
-16*z
Expand (-6 + 0 + 0)*(2*n**2 - 28 - n**2 + 4).
-6*n**2 + 144
Expand 3*v**2 - 3*v**2 - 2*v**3 + (5 - 1 - 2)*(-4 + 3*v**3 + 4) + 3*v**3 - v**3 + 0*v**3 + (3*v + 3*v - 5*v)*(-2*v**2 + 2*v**2 - 2*v**2).
4*v**3
Expand -2*o + 3*o - 5*o + 2 - 2 + o + (0 + 1 + 1)*(0 + o + 0) - 4*o - 4*o - 5*o.
-14*o
Expand -5*d**2 + 3*d**2 + 3*d**2 + (-3 - d + 3)*(2 + 2 + 6)*(5 - 7*d + 10*d - 2).
-29*d**2 - 30*d
Expand (-3*r**3 - 5*r + 5*r + (2 - 2 - r)*(r**2 + r**2 + r**2) - 2*r**3 + 3*r**3 - 2*r**3)*((2*r + 4 - 4)*(-3 + 3 - 2*r) - 2*r**2 - 2*r**2 + 0*r**2).
56*r**5
Expand (-119*t**2 + 58*t**2 - 91*t**2)*(-2*t**2 + 5*t**2 - 2*t**2)*(2*t - 3*t + 3*t).
-304*t**5
Expand (0*t - 2*t**4 + 0*t)*(-23 + 14 + 13) - 4*t**2 + 4*t**2 - t**4.
-9*t**4
Expand (m - 2*m + 3*m)*(4*m - 2*m - 3*m) - 2 + 2 + 3*m**2 - m**2 - 3*m - m**2 + 4*m - 13*m**2 - 16*m**2 - 20*m**2.
-50*m**2 + m
Expand (-5*z - z + 5*z)*(-4*z**3 + 4*z**3 + 2*z**4) + 11 - 11 - 21*z**5.
-23*z**5
Expand (7 - 9 - 8)*(5*n - 2*n - n) - 9*n - 13*n + 5*n.
-37*n
Expand (12*s**2 - 52 + 52)*(23*s**2 + 22*s**2 - 10*s**2 + 4*s**2).
468*s**4
Expand (-12*d**4 + 2*d**4 + 32 - 21)*(-3 + 3 + 2).
-20*d**4 + 22
Expand (8*a + 20 - 20)*(3 + 11 + 0).
112*a
Expand (-4*u**2 + 0*u + 0*u)*(-39*u**3 - 4*u**3 + 12*u**3 + 9*u**3).
88*u**5
Expand (7*l + 280*l + 36*l)*(1 - l**3 - 1).
-323*l**4
Expand ((-2 + 2 - 2)*(-1 + 2 + 1) + 1 - 9 + 2)*(1 + 3 - 5)*(-y**2 + 6*y**2 - 4*y**2 - 2*y).
10*y**2 - 20*y
Expand -51 + m**4 + 154 - m - 62 + (1 - 1 - 2*m**3)*(-m + 2 - 2).
3*m**4 - m + 41
Expand (1 + 2 - 4)*(-366 + 2*t - 47 - 565 - 1128).
-2*t + 2106
Expand 148*i**4 + 179*i**4 - 244*i**4 + (4*i - i**2 - 4*i)*(-i**2 + i**2 - 2*i**2) - i**4 - 4 + 4 + 65*i**3 + 8*i**4 - 65*i**3.
92*i**4
Expand (7 - 3*i**3 - 2*i**4 + 0*i**3 + 3*i**4)*(i - 4*i + 6*i).
3*i**5 - 9*i**4 + 21*i
Expand (-2*k - 5 + 5)*((0 + 4 - 3)*(0*k + 0*k - k) + 26 - 26 - 6*k + 11*k - 6*k - 9*k).
22*k**2
Expand (f**2 - f**2 - f**2)*(-205 + 205 - 39*f) + (-f + 0 + 0)*(2 + 2*f**2 - 2) + 0*f**2 + 0*f**2 - f**3 + f**3 + 2*f**2 + f**3 + 2*f**2.
38*f**3 + 4*f**2
Expand -3*s**2 - s**2 + 5*s**2 - s**2 + 5*s**2 - 2*s**2 + (2*s - 1 + 1)*(s - s - 2*s) + (-2*s**2 + 2*s - 2*s)*(-2 - 2 + 2) - 11*s + 4*s**2 + 11*s.
7*s**2
Expand -2*z**2 - 3*z**2 + 3*z**2 + (-4 + 4 + 5)*(-2*z + 2*z + 2*z**2) - 95 + 21*z**2 + 95.
29*z**2
Expand (70*l**2 - 5*l**2 - 147*l**2 - 422*l**2)*(6 - 6 - l).
504*l**3
Expand 55*y**4 - 93*y**4 - 55*y**4 + (2*y**3 - 3*y**2 + 3*y**2)*(-2 - 12*y + 2) - 3*y**4 + 0*y**4 + 2*y**4.
-118*y**4
Expand ((-2*p - 3 + 3)*(0*p**2 - 2*p**2 + 3*p**2) - 25*p**3 - 1 + 1 + 2*p**2 + p**3 - 2*p**2 + (-4*p**2 + 2*p**2 + 4*p**2)*(2*p + 1 - 1))*(5 - 5 + p).
-22*p**4
Expand (-2*x - 2*x - 3*x)*(2 + 2*x**3 - 2)*(111*x - 72*x - 112*x).
1022*x**5
Expand (-3*q**3 - q**3 - q**2 + 3*q**3)*((2 - 38 + 6)*(4 + 5 + 3) + (-5 - 2 + 5)*(0 + 2 - 4)).
356*q**3 + 356*q**2
Expand (0 + 0 + 6 - 1 + 3 - 5 + (3 + 4 - 6)*(1 - 2 + 0) + 0 - 1 - 3)*(-7*q**2 + 3*q**2 + 3*q**2).
2*q**2
Expand (-y + 5 - 5)*(86*y + 53*y + 7*y)*(-2 + 6 - 2).
-292*y**2
Expand (2 - 2 - 3*d**2)*(-74 + 163 + 218)*(-3*d + d - 2*d).
3684*d**3
Expand (-d + 3*d - d)*(-12*d + 12*d + 5*d**2) - d**3 - d**3 + 0*d**3 - 4*d**2 + 13*d**3 + 4*d**2.
16*d**3
Expand (2 + 2 + 0)*(1 - 1 + 2*n**5) + (-126*n + 126*n - 15*n**2)*(0 + 0 + n**3) - 3*n**5 + n**5 + n**5.
-8*n**5
Expand (-14 + 25 + 38)*(2*f - f + f).
98*f
Expand (-4 + 4 + k)*(-6 + 6 - 7*k**2)*(3 - 9 + 13).
-49*k**3
Expand (5*d + 0*d - 2*d)*(1 + 1 + 1)*(-5*d + 2*d - 3*d + 0*d - 3*d + 4*d + (-1 - 3 + 2)*(3*d + d - 2*d)).
-81*d**2
Expand (0 - k + 0)*(-2*k**2 + k - k) + (-6 + 4 + 3)*(0*k - k**3 + 6*k - 11*k).
k**3 - 5*k
Expand (45*u - 42*u - 4 + 1)*(36*u**3 - 40*u**3 + 26*u**3).
66*u**4 - 66*u**3
Expand (11 + 9*c - 11)*(-c - 8*c + 3*c)*(0 + 3 - 1)*(-4*c + 0*c + 3*c).
108*c**3
Expand (20*w - 18*w - 9 - 17)*(5 - 2 + 4).
14*w - 182
Expand (-3 + i + 3)*(-i**2 + 2*i - 2*i) + (-11 - 41 + 0)*(-i**3 + 2*i**3 - 3*i**3).
103*i**3
Expand (-b + 5*b - 3*b)*(51*b**4 + 7*b**4 - 11*b**4 - 3*b**2).
47*b**5 - 3*b**3
Expand (26*w - 15*w - 28*w)*(-3 - 1 + 8).
-68*w
Expand (44*w - 450 + 450)*(0 - 2 + 1) + (-w + 2*w + 3*w)*(0 + 5 - 3) + 0 - 2*w + 0.
-38*w
Expand (3*y + 2*y - 4*y)*(-209*y**3 + 44*y + 104*y**3 + 119*y**3).
14*y**4 + 44*y**2
Expand (2 + 2 + 1)*(-2 + 2 - 2*z)*(-2 + 1 - 2)*(3*z + 0*z - 6*z).
-90*z**2
Expand -3*f**3 + 3*f**3 - f**4 + (0*f + 0*f + f**2)*(-6*f**2 - 6*f**2 - f**2) - 2*f**4 + 24*f**2 - 3 - 24*f**2 - 2*f**3.
-16*f**4 - 2*f**3 - 3
Expand (-18 + 12 - 11)*(38*t**3 + 2*t**2 - 8*t**3 + t**3).
-527*t**3 - 34*t**2
Expand (11*m - 8*m + 27*m)*(-4*m + 4*m + 4*m**2 + (0*m + 2*m + 0*m)*(-m + 3*m + 0*m)).
240*m**3
Expand (166 + 154 + 12*t - 282)*(-5*t + 4*t - 3*t).
-48*t**2 - 152*t
Expand (-w - 8*w + 7*w + 12)*(0*w - w + 0*w + (-2 + 0 + 0)*(0*w - w - w) + 0 + 2*w + 0 - 2*w - 2 + 4*w - w).
-12*w**2 + 76*w - 24
Expand -6*n**3 + 2*n**3 + 3*n**3 + (-3 + 3 - 3*n**2)*(4*n - 3*n + n) + (n**2 - 1 + 1)*(5*n - 4*n - 5*n) + 13*n**3 + 5*n**3 - 5*n**3.
2*n**3
Expand 36*g**3 + 14 - 2 - 10 + (2*g**2 - 4*g**2 + g**2)*(5*g + g + 2*g).
28*g**3 + 2
Expand b**4 - b**4 - 2*b**4 + (-b + 3*b**3 + b)*(2*b + b - 2*b) - 603*b**4 - 953*b**4 + 1843*b**4.
288*b**4
Expand (2 - 3 - 1)*(-4*s + 3*s + 0*s - 5*s**2)*(-4 - 1 + 4 + (3 - 1 - 1)*(-2 + 3 - 3) + 3 + 2 - 4).
-20*s**2 - 4*s
Expand (-3*i**3 - i**3 + i**3)*(-8*i + 15*i + 11*i) + (3*i**3 - 2*i**3 - 3*i**3 + 2*i**3 - 3*i**3 + 3*i**3 + (-2*i**3 + 1 - 1)*(-5 + 0 + 4))*(5*i + 2*i - 5*i).
-50*i**4
Expand 3*f + 4 - 2 - 3 + (-27 + 36 + 73)*(2*f + 2*f - 6*f)*(3 - 4 + 2).
-161*f - 1
Expand (d - 3*d + d)*(-45*d - 97*d - 46*d).
188*d**2
Expand 2*g**2 - 5 + 5 + (-g + g - g)*(97*g + 130 - 130).
-95*g**2
Expand (-2*f**2 + f**2 - 3*f**2)*((-1 + 3 - 1)*(1 - 6 + 3) - 2 + 1 + 3 + (1 + 2 - 2)*(-3 + 3 + 1) + 2 + 5 - 4).
-16*f**2
Expand (5 - 5 + n + (-4 + 1 + 1)*(-2*n + 4 - 4) - 6 + 4*n + 6)*(13*n**2 + 7*n**2 - 10*n**2).
90*n**3
Expand 188*b**4 - 125758*b + 125758*b + (3*b**4 + 2*b**4 - 4*b**4)*(6 - 1 - 3) - 3*b - b**4 + 3*b.
189*b**4
Expand -115*h - 1067 + 1067 - 3*h - h + 3*h + (0*h + 0*h + 2*h)*(0 + 2 - 1).
-114*h
Expand (-2*a**2 + 0*a**2 - 2*a**2)*(-4 + 2*a**3 + 4) + a**5 - 264*a + 3*a**5 + 269*a.
-4*a**5 + 5*a
Expand (-305 + 305 - 4*q**3)*(3 + 2*q + 0 - 4*q).
8*q**4 - 12*q**3
Expand (-3*u**2 - 12 + 12)*(15*u - 45*u + 55*u + 26*u).
-153*u**3
Expand (-v - v + v + (15*v - 13*v + 10*v)*(0 + 0 - 2))*(-5*v - v - 5*v).
275*v**2
Expand (2*v**3 + 0 + 0)*((1 + 2 - 2)*(5*v + v - 5*v) + 2*v + 2*v - 6*v + 3*v + 81 - 81).
4*v
|
{
"pile_set_name": "DM Mathematics"
}
|
hundreds digit of x?
2
What is the units digit of 3/(-12) - (-351)/12?
9
Let o(a) = -a - 8. What is the units digit of o(-9)?
1
Let u(q) = q**3 - q**2 - q - 18. Let h be u(0). What is the units digit of 6/h - 182/(-6)?
0
Let w = -3 + 5. Let d = -3 + w. What is the units digit of -2 + (d - -2) + 6?
5
Suppose -3*f = 3*m - 66, -96 = -8*f + 3*f + 2*m. What is the tens digit of f?
2
Suppose 117 + 759 = 6*f. What is the tens digit of f?
4
Suppose 3*i - 10 = 2*i. Let m = 13 - i. What is the units digit of m?
3
Suppose 259 = -4*q + 875. Let n = -102 + q. What is the tens digit of n?
5
Let n(m) = m + 13. Let a be n(-10). Suppose 5*i = -u - u + 39, -4*i - 116 = -a*u. Let g = -18 + u. What is the tens digit of g?
1
Let p(b) = -b + 7. Let x be p(5). Suppose 0 = -3*d - x*w + w + 14, 2 = 4*d - 2*w. Suppose 2*q + d*q - 10 = 0. What is the units digit of q?
2
Let n be (-2)/(-10) - 79/(-5). Suppose 3*k + 80 = 5*c, -c - 2*k + n = 2*k. What is the units digit of c?
6
Suppose -2*u + u = -14. Suppose 5*r = 1 + u. Suppose 0 = -r*w - 6 + 33. What is the units digit of w?
9
Let g be 2 - (-6)/(5 + -3). Suppose -4*u + g*u = 5. Suppose -23 - 10 = -u*w + i, 0 = 3*w + 5*i - 3. What is the units digit of w?
6
Let o(v) = -v**3 - 3*v**2 - 4*v + 6. What is the units digit of o(-5)?
6
Suppose 3*t + 5*q - 117 = 0, -3*t + 131 = 4*q + 11. What is the tens digit of t?
4
Suppose 5*r - 4*a = -4, 4*r - 3*r - 2 = -2*a. Suppose 0*s + 3*s - 87 = r. What is the tens digit of s?
2
Let m(r) = -r**2 + 5*r. Let i be m(4). Suppose o + 15 = -i*o + 2*t, -2*o + 13 = 3*t. What is the units digit of ((-10)/(-8))/(o/(-12))?
5
Let p = 77 - 42. What is the tens digit of p?
3
Let l = -23 + 91. What is the tens digit of l?
6
Let k(l) = -2*l**2 - 2*l + 3. Let c be k(-3). Let v be 4/(-6) - 177/c. Suppose 2*x + 4 = 5*n - 1, 0 = -2*x - 3*n + v. What is the units digit of x?
5
Let y(j) be the first derivative of j**4/2 - 5*j**3/3 + 2*j**2 + j + 3. Let t be y(4). Suppose 3*r = -2*r + t. What is the units digit of r?
3
Let t be 18/(-5) + (-4)/10. Let s be 151/t + (-1)/4. What is the units digit of (-4)/(-3 + s/(-14))?
4
Let s(r) = -r**3 - 6*r**2 - 4*r + 1. Let n be s(-5). Let c(o) = o**2 + 5*o + 6. Let w be c(n). What is the units digit of ((-4)/4)/(1 - w)?
1
What is the units digit of 124/7 - (-12)/42?
8
Suppose 0*u = -4*u + 60. Let m = 27 - u. What is the tens digit of m?
1
Let j(x) = -x + 3. Let l be j(-4). Suppose 0 = -3*z - 4*m + 16, -2*z - 5*m + 1 + 12 = 0. Let n = l - z. What is the units digit of n?
3
What is the units digit of -2 + 3/(15/470)?
2
Suppose -4*u - 4 - 4 = -4*y, -4*u = -4. Let w(l) = 8*l - 3. What is the units digit of w(y)?
1
Let u(l) = l**3 + 17*l**2 + 11*l + 35. What is the tens digit of u(-15)?
2
What is the units digit of 2/12*(-1 + 7)?
1
Let y(k) = k + 9. Let r be y(7). Let b = r + -13. What is the units digit of b?
3
Let q(c) = 19*c. Let t(n) = -n**2 - 6*n + 1. Let z be t(-6). What is the tens digit of q(z)?
1
Suppose -3*c = -h + 3, 30 = 5*h + 2*c - 2. What is the tens digit of (-17 - -1)*h/(-8)?
1
Suppose 0 = -2*w - 1 + 11. Suppose -8 = -7*s + w*s. Suppose -5 + 13 = s*m. What is the units digit of m?
2
Let a(f) = -f**3 + 6*f**2 + 4*f - 10. What is the tens digit of a(6)?
1
Let f = -10 + 7. Let d = f - -6. What is the tens digit of d*((-42)/(-9))/1?
1
Let v(t) = 6*t**2 - 9*t + 5. What is the tens digit of v(6)?
6
Suppose -2*f = 10, 3*x + 5*f + 945 = 7*x. What is the hundreds digit of x?
2
Let r(y) = y**3 + 8*y**2 + 5*y + 1. Let m be r(-7). Let t be (6/m)/((-2)/(-50)). Suppose 5*l = 3*x + 6 + 8, t = 4*l - 2*x. What is the units digit of l?
1
Let w(z) = z**2 - z - 4. Let v be w(3). Suppose 0 = v*c - g - 24, -5*c = -g - 0*g - 57. Suppose 5*j - c = 44. What is the units digit of j?
1
Let v = 0 + 4. Suppose -4*l - n = -2*n + 3, -4*n = l - 12. What is the units digit of 3/(-3) + l + v?
3
What is the units digit of (0 - 0) + 4 - -2?
6
Let y(k) = -6*k + k**3 + k**2 + 21 + 4*k + 3*k. What is the units digit of y(0)?
1
Let k(x) = -x**3 - 2*x**2 - x. Let i be k(-2). Suppose -i*j + 3*j = 2. What is the units digit of j?
2
Let p(h) = 4*h - 15. Let t(f) = 3*f - 10. Let d(s) = -5*p(s) + 7*t(s). Let c be 2/3 + 56/6. What is the tens digit of d(c)?
1
Let p be (-2)/(0 + 1) - 5. Let f = 10 + p. Suppose 0*i - 9 = -f*i. What is the units digit of i?
3
Let p = -4 - -8. Let o(n) = n - 2. Let b be o(p). Suppose 2*r + b*r = i + 16, r - 19 = 4*i. What is the units digit of r?
3
Suppose 3*x - 6*x = -9. Suppose b - 4 = 2*d, 4*d + 14 = -x*b + 6. Let s = 11 - b. What is the units digit of s?
1
Suppose 2*t - 62 = -18. What is the units digit of t?
2
Let c = -5 - -5. Suppose 2*l = -c*l + 132. What is the units digit of (l/24)/(1/4)?
1
What is the units digit of 32/5 + 33/55?
7
Suppose 0 = -5*r + 60 + 45. What is the tens digit of r?
2
Suppose f + 0*f - 3*n - 22 = 0, 22 = 3*f + 2*n. Suppose 3*g + 17 + f = 0. Let r = -5 - g. What is the units digit of r?
4
Suppose 0 = -2*a + 4*a. Suppose -5*g + 10 = 0, 2*w + a*g + 5*g - 24 = 0. What is the units digit of w?
7
Let i(l) = 3*l**2 - l + 1. Let b = -4 - -5. Let t be i(b). Suppose -t*n + 3 = -0*n. What is the units digit of n?
1
Let l(r) = -r**2 - 13*r - 13. Let g be l(-10). Let k = g + -9. Let c = 13 - k. What is the units digit of c?
5
Let t(j) = j**2 + j + 11. Suppose 3*y - y = 0. What is the units digit of t(y)?
1
Suppose -3*q = -3*x, -5*x + 4*x + 2*q + 3 = 0. Let s be (-9)/(-6)*(-16)/x. Suppose 28 = 3*y - w, -y + 0*w = w - s. What is the units digit of y?
9
What is the units digit of (-10)/30 + (-98)/(-6)?
6
Let s = 2 - -2. Suppose s*v = -0*v. Let x = v - -10. What is the tens digit of x?
1
Suppose -z - 5*f + 2 = 1, 0 = 3*z - 4*f - 22. What is the units digit of z?
6
Suppose -16 - 41 = -k. Suppose -2*t - t + k = 0. What is the tens digit of t?
1
Suppose 4*w + 26 = -14. Suppose 0 = 4*u + 7*d - 2*d + 40, -u - d = 11. Let g = w - u. What is the units digit of g?
5
Let i(v) = -15 - 5*v - 2*v + 12*v. What is the units digit of i(11)?
0
Let w(g) be the first derivative of -g**3/3 + 4*g**2 + 9*g + 3. Let o be w(9). Suppose 0*m + 2*m - 22 = o. What is the tens digit of m?
1
Let k be 3 - (-6)/(-8)*4. Suppose v - 9 = -f, -4*v - 12 - 8 = k. What is the tens digit of f?
1
What is the tens digit of (-48)/1*46/(-69)?
3
Let q(y) = -24*y**3 + y**2. What is the tens digit of q(-1)?
2
Suppose 12 = 2*x + 4*n, -2*x + 1 = -5*n + 34. Let k(q) = q**2 + 3*q - 3. Let h be k(x). What is the units digit of (-18)/(-3) - (h - 1)?
6
Let v be (2/(-5))/((-4)/20). What is the units digit of v/(-4) - 39/(-2)?
9
Suppose -105 = -3*f - 2*f. What is the tens digit of 6/f - (-178)/14?
1
Suppose 5*j + 135 = 5*l, -2*l - l + j = -81. What is the tens digit of l?
2
Let c(q) = -1 + q + q + 2*q**2 + 5*q**2 - 4*q**2. Let t be c(-2). Suppose 3*n = t*n - 40. What is the tens digit of n?
1
Let n = 6 + -3. What is the units digit of -3*n/(9/(-2))?
2
Suppose 2*p - 68 + 4 = 0. What is the units digit of p?
2
Let o(d) = -d**3 + 14*d**2 + 19*d + 13. What is the units digit of o(15)?
3
What is the tens digit of (-106)/(-3) - 4/12?
3
Suppose 421 = 5*g + 86. What is the units digit of g?
7
Suppose -4*g = -l + 20, 4*l - 10 = -g + 2. Let s be 2 - (l + 1 + 1). What is the units digit of (-32)/s + (0 - 0)?
8
Let k = 8 + -14. What is the units digit of ((-4)/3)/(1/k)?
8
Let p = -2 + 7. Let o(y) = y - 5. Let x be o(p). Suppose -3*u - 2*m + 17 + 27 = x, 3*m - 10 = -u. What is the units digit of u?
6
Suppose -39 = -x + 3. What is the units digit of x?
2
Suppose -3*v - v + 24 = 0. What is the units digit of (-4)/6 + 76/v?
2
Suppose -q - 2*p = 51, -2*p + 33 - 219 = 4*q. Let n be 4/(-1)*q/(-12). Let r = 24 + n. What is the units digit of r?
9
Let f be (-4)/6 + 4/(-12). Let q(z) = -4*z. Let j be q(f). Suppose 3*b + t - j = -b, 2*t = 0. What is the units digit of b?
1
Let c be 0/(-3) - (-6)/(-2). Let j be 3/(9/c)*-10. Suppose 0*q - j = -2*q. What is the units digit of q?
5
Suppose 5*j + 29 - 4 = 0, -j - 97 = -2*b. What is the tens digit of b?
4
Suppose 0 = 5*y - y - 32. What is the units digit of y?
8
Suppose 2*k = -4*u - 30, -3*u - 9 = -4*k + 8. Let w be (4/(-10))/(u/70). Suppose o - 24 = -3*v - 2*o, 3*o + 4 = w*v. What is the units digit of v?
4
Suppose a = -5*d + 360, -7*a - 239 = -3*d - 3*a. What is the units digit of d?
3
Su
|
{
"pile_set_name": "DM Mathematics"
}
|
composite?
True
Is 1191814499 a composite number?
True
Is 449578837 composite?
True
Is 150258271 a prime number?
False
Is 192016637279 a composite number?
True
Is 2104796373 a prime number?
False
Is 718462669 composite?
False
Is 9082715221 prime?
True
Is 408732953 a composite number?
True
Is 75730384111 a prime number?
True
Is 434378837 composite?
False
Is 22529297357 composite?
True
Is 941734889 prime?
True
Is 39159877 prime?
True
Is 74900604869 prime?
True
Is 56538018839 a prime number?
True
Is 137620472219 a prime number?
True
Is 602970323 prime?
False
Is 89265391 a prime number?
True
Is 3183869341 composite?
False
Is 164017608709 composite?
False
Is 258819461 prime?
False
Is 1999890821 composite?
False
Is 8564346001 prime?
False
Is 3113788339 prime?
True
Is 1768213121 a prime number?
True
Is 15546074119 a composite number?
True
Is 29763726353 a prime number?
False
Is 18027064457 composite?
False
Is 43466014829 a prime number?
False
Is 327190961 composite?
False
Is 4647544481 a composite number?
False
Is 1802525761 prime?
True
Is 101117239 a composite number?
True
Is 576381101 a composite number?
True
Is 5998215257 a prime number?
True
Is 519588326365 a prime number?
False
Is 764039273 prime?
False
Is 6107797195 prime?
False
Is 58696284917 a prime number?
False
Is 3402483127 a prime number?
False
Is 2213586793 a prime number?
False
Is 8517659003 composite?
True
Is 12842257633 composite?
False
Is 155923409 a prime number?
False
Is 9605819101 prime?
False
Is 4439387579 a prime number?
False
Is 37786401827 prime?
True
Is 1425037813 composite?
False
Is 11103796061 a prime number?
False
Is 284121647 a prime number?
True
Is 12665832899 a prime number?
True
Is 26582607659 a composite number?
True
Is 1872621691 a prime number?
False
Is 7170069113 a composite number?
False
Is 1176252881 a prime number?
True
Is 68227173167 composite?
False
Is 27741532579 composite?
True
Is 242751624177 a prime number?
False
Is 292289926 composite?
True
Is 10168934891 a prime number?
True
Is 126245036383 prime?
True
Is 9784300483 a composite number?
False
Is 96365136731 a prime number?
False
Is 8606895949 a prime number?
False
Is 601716793 a composite number?
False
Is 55878094387 a composite number?
False
Is 20691640553 a composite number?
False
Is 10977208237 prime?
False
Is 588654893 a composite number?
True
Is 52327660633 a prime number?
True
Is 12644767879 composite?
False
Is 810432751 prime?
True
Is 496266269 a composite number?
True
Is 518243311 a prime number?
False
Is 20583997297 composite?
False
Is 24837481 a composite number?
True
Is 29555844283 a prime number?
False
Is 119520419 a composite number?
False
Is 6214483931 a prime number?
True
Is 58155743 composite?
True
Is 455973667 prime?
True
Is 3367642459 composite?
True
Is 33710149859 prime?
False
Is 91307940637 a composite number?
False
Is 3250644743 a composite number?
False
Is 488433229 prime?
True
Is 2622555569 a composite number?
True
Is 13965380239 prime?
False
Is 190889261 composite?
False
Is 1811550239 composite?
False
Is 228684293 a prime number?
True
Is 2048581967 composite?
True
Is 74352233 a prime number?
True
Is 289866026687 a prime number?
True
Is 20506381 a prime number?
False
Is 88011609271 a composite number?
False
Is 4912312747 composite?
False
Is 5990851015 a composite number?
True
Is 787102367 a composite number?
False
Is 2651749019 a prime number?
True
Is 62178689 a composite number?
False
Is 38089643 composite?
True
Is 91704626609 prime?
True
Is 41028353851 a prime number?
False
Is 938349869 prime?
True
Is 174478877 a composite number?
True
Is 7646578034 a composite number?
True
Is 2875225867 composite?
True
Is 249439823 a composite number?
False
Is 15089057 a composite number?
False
Is 1411649171 a prime number?
False
Is 33526371 composite?
True
Is 51525524741 a prime number?
True
Is 3014600453 prime?
True
Is 24783461863 a composite number?
True
Is 1183282553 composite?
True
Is 46352230217 a composite number?
False
Is 1247075077 a composite number?
False
Is 9784493071 composite?
True
Is 4851646271 a composite number?
True
Is 2656146127 prime?
False
Is 7841291641 a composite number?
True
Is 4735998161 a composite number?
False
Is 18784356719 composite?
False
Is 19743811 composite?
True
Is 16300664581 a prime number?
False
Is 501324311 a prime number?
True
Is 32451521881 a composite number?
True
Is 12993334355 composite?
True
Is 11058082331 a composite number?
False
Is 39581022301 a prime number?
False
Is 1986987922 a prime number?
False
Is 34055687 composite?
False
Is 103394107 composite?
True
Is 726160601 prime?
False
Is 2258147963 a prime number?
False
Is 66764746693 prime?
True
Is 1034161855 a composite number?
True
Is 126562879 prime?
True
Is 752196973 a prime number?
False
Is 1795074937 prime?
True
Is 100064621903 prime?
False
Is 68381438393 prime?
True
Is 5453122469 a composite number?
False
Is 926498971 a composite number?
True
Is 67996679 a prime number?
True
Is 9727838777 a prime number?
False
Is 28867293739 prime?
True
Is 21037753093 a prime number?
False
Is 312412693 a prime number?
False
Is 108137371873 prime?
True
Is 121086883 a composite number?
False
Is 5148604115 a composite number?
True
Is 26252473937 a prime number?
True
Is 417646763 prime?
False
Is 3491089883 composite?
True
Is 549278857 composite?
True
Is 4392688897 a prime number?
True
Is 4833127483 prime?
False
Is 1949099909 a composite number?
True
Is 51478237 prime?
True
Is 46335967453 a composite number?
False
Is 167938553 prime?
True
Is 32265347213 prime?
False
Is 705941317 prime?
False
Is 6075239971 a prime number?
False
Is 284821073 prime?
True
Is 132014639 prime?
False
Is 29197864439 composite?
True
Is 7514556737 prime?
True
Is 11251055579 a composite number?
False
Is 2586006199 a prime number?
False
Is 404680139 composite?
False
Is 78139750711 composite?
True
Is 22178980601 a prime number?
True
Is 2001965677 prime?
False
Is 433523843 prime?
True
Is 355895147 prime?
True
Is 51416060819 composite?
False
Is 29047358257 composite?
False
Is 54177314969 prime?
True
Is 39462685967 composite?
False
Is 2569825403 composite?
True
Is 1180098773 prime?
False
Is 1318390727 a prime number?
True
Is 1098624817 prime?
True
Is 14086054777 a prime number?
True
Is 178870598537 prime?
False
Is 816101873 composite?
True
Is 985056697 composite?
False
Is 820614791 composite?
True
Is 413600861 a composite number?
True
Is 603507289907 a composite number?
False
Is 2013531259 prime?
False
Is 1950915077 a composite number?
False
Is 4110437099 composite?
False
Is 10525263695 a prime number?
False
Is 6008585189 prime?
True
Is 1111765841 a composite number?
True
Is 3852714353 a composite number?
False
Is 1795333567 a prime number?
False
Is 76633678461 composite?
True
Is 2473747273 a composite number?
True
Is 1586000287 a composite number?
True
Is 91802849 a composite number?
False
Is 8290748714 a composite number?
True
Is 624564013 a composite number?
False
Is 676127867 prime?
True
Is 441443759 prime?
True
Is 6570525658 a prime number?
False
Is 14117142197 a composite number?
False
Is 121634627 a composite number?
True
Is 15289123805 a prime number?
False
Is 851954399 a composite number?
True
Is 297053927 composite?
True
Is 845065547 a prime number?
True
Is 17602745753 a prime number?
True
Is 296897651 prime?
False
Is 24240674467 composite?
False
Is 44985667691 a composite number?
False
Is 869708041 composite?
False
Is 3337371313 a prime number?
False
Is 7783364143 composite?
True
Is 4392118733 a prime number?
False
Is 1086821107 a prime number?
False
Is 47291459 a composite number?
False
Is 4369836781 prime?
False
Is 1232595229 prime?
True
Is 86244120689 prime?
False
Is 1158729171 composite?
True
Is 11344928297 prime?
False
Is 11040566183 a prime number?
False
Is 137721151 a prime number?
True
Is 1875812209 prime?
False
Is 1309039993 prime?
False
Is 104170351657 a prime number?
False
Is 11875216817 a composite number?
False
Is 17675663945 a prime number?
False
Is 928891549 a composite number?
True
Is 58737293 prime?
True
Is 4091468207 composite?
False
Is 2430449117 a composite number?
False
Is 1489803961 a prime number?
True
Is 3925841069 a prime number?
False
Is 3308794617 prime?
False
Is 109576709083 a composite number?
False
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
the least common multiple of 34 and 153.
306
What is the smallest common multiple of 3168 and 16?
3168
What is the lowest common multiple of 492 and 2706?
5412
Calculate the common denominator of -157/420 and -79/30.
420
Find the common denominator of 1/67 and 11/74.
4958
Calculate the least common multiple of 288 and 2.
288
What is the common denominator of -29/150 and 19/20?
300
What is the smallest common multiple of 22 and 22?
22
Find the common denominator of 23/26 and 51/91.
182
What is the least common multiple of 70 and 40?
280
Calculate the smallest common multiple of 1155 and 1785.
19635
Calculate the common denominator of -81/74 and -43/17.
1258
Calculate the lowest common multiple of 28 and 419.
11732
Find the common denominator of 37/1337 and 73/1719.
12033
What is the least common multiple of 114 and 9?
342
What is the smallest common multiple of 9 and 90?
90
What is the common denominator of 63/5 and 3/4?
20
What is the smallest common multiple of 10 and 160?
160
What is the common denominator of -19/220 and -89/825?
3300
Find the common denominator of -3/64 and -113/24.
192
Find the common denominator of 22/1185 and -91/435.
34365
What is the least common multiple of 2744 and 70?
13720
Find the common denominator of 61/6 and 71/64.
192
What is the smallest common multiple of 13050 and 9135?
91350
Calculate the lowest common multiple of 546 and 455.
2730
Calculate the least common multiple of 7429 and 1615.
37145
Calculate the smallest common multiple of 461 and 4.
1844
What is the lowest common multiple of 882 and 90?
4410
What is the lowest common multiple of 56 and 28?
56
Calculate the common denominator of -53/496 and 97/56.
3472
Calculate the least common multiple of 1272 and 212.
1272
Calculate the least common multiple of 20 and 2370.
4740
Find the common denominator of 37/292 and 27/116.
8468
Calculate the least common multiple of 8 and 106.
424
Calculate the common denominator of 43/21 and 149/348.
2436
Calculate the common denominator of -19/1023 and -17/279.
3069
What is the least common multiple of 44 and 152?
1672
What is the smallest common multiple of 434 and 77?
4774
What is the smallest common multiple of 468 and 36?
468
What is the smallest common multiple of 1078 and 231?
3234
Calculate the least common multiple of 16 and 326.
2608
Find the common denominator of -9/1840 and -47/5.
1840
What is the common denominator of 19/4 and 73/492?
492
What is the smallest common multiple of 36 and 15?
180
What is the lowest common multiple of 216 and 81?
648
What is the lowest common multiple of 33 and 1870?
5610
Find the common denominator of -40 and 13/58.
58
Calculate the common denominator of 41/13297 and -64/9.
119673
What is the least common multiple of 32 and 1208?
4832
Find the common denominator of 51/2 and 91/6.
6
What is the least common multiple of 1413 and 60?
28260
What is the common denominator of -27/2 and -9/1958?
1958
What is the lowest common multiple of 36 and 96?
288
What is the lowest common multiple of 1320 and 270?
11880
Calculate the lowest common multiple of 14 and 86.
602
What is the smallest common multiple of 350 and 350?
350
Calculate the smallest common multiple of 60 and 7134.
71340
Calculate the lowest common multiple of 432 and 270.
2160
Calculate the smallest common multiple of 9 and 4.
36
Calculate the lowest common multiple of 36 and 18.
36
What is the least common multiple of 68 and 7?
476
Calculate the common denominator of 70/9 and -76/39.
117
Calculate the common denominator of -4/201 and 97/42.
2814
Calculate the lowest common multiple of 8 and 932.
1864
What is the common denominator of 35/4 and 31/173?
692
What is the least common multiple of 24 and 12?
24
What is the lowest common multiple of 162 and 3888?
3888
What is the smallest common multiple of 1416 and 4?
1416
Find the common denominator of -55/8 and -63/260.
520
What is the smallest common multiple of 344 and 20?
1720
What is the common denominator of -48/649 and 111/11210?
123310
What is the least common multiple of 32 and 12?
96
Calculate the lowest common multiple of 602 and 30.
9030
What is the common denominator of -35/6448 and -55/12?
19344
Find the common denominator of -117/20 and -125/96.
480
Calculate the smallest common multiple of 105 and 126.
630
Find the common denominator of 89/1790 and 36/179.
1790
What is the common denominator of -13/10 and 111/80?
80
Calculate the common denominator of 79/36 and 115/6.
36
Calculate the least common multiple of 427 and 2562.
2562
What is the smallest common multiple of 132 and 264?
264
Find the common denominator of -35/9 and -19/750.
2250
Calculate the lowest common multiple of 9400 and 10575.
84600
Calculate the common denominator of 83/16 and -83/24.
48
Calculate the common denominator of 97/418 and 23/608.
6688
What is the least common multiple of 318 and 6?
318
What is the common denominator of -19/390 and -76/21?
2730
What is the lowest common multiple of 4 and 488?
488
What is the smallest common multiple of 27 and 42?
378
What is the common denominator of -33/16 and -45/52?
208
Find the common denominator of -119/2770 and 41/3878.
19390
What is the smallest common multiple of 64 and 352?
704
Calculate the lowest common multiple of 157 and 1727.
1727
Find the common denominator of 121/5838 and 89/20.
58380
What is the common denominator of -41/24 and 29/12?
24
What is the common denominator of -5/52 and 23/208?
208
What is the common denominator of 43/144 and -43/48?
144
Calculate the smallest common multiple of 51 and 5355.
5355
Calculate the common denominator of -125/6 and 28/13.
78
What is the common denominator of 82/21 and -27/104?
2184
What is the smallest common multiple of 168 and 372?
5208
What is the least common multiple of 3 and 7?
21
Calculate the common denominator of 73/396 and 67/396.
396
What is the common denominator of -2/7 and 19/88?
616
Find the common denominator of -55/42 and -53/966.
966
What is the common denominator of 51/110 and -31/3212?
16060
What is the common denominator of -71/30 and 52/285?
570
What is the common denominator of -109/110 and -36/55?
110
Find the common denominator of -61/45 and 97/1570.
14130
What is the common denominator of 43/35 and -19/2830?
19810
What is the lowest common multiple of 1 and 175?
175
Calculate the lowest common multiple of 81 and 63.
567
What is the common denominator of -67/3 and -61/637?
1911
What is the lowest common multiple of 44383 and 5?
221915
What is the lowest common multiple of 1411 and 8?
11288
Calculate the common denominator of -49/10 and -39/14.
70
Find the common denominator of -109/252 and 107/1044.
7308
Calculate the smallest common multiple of 60 and 6138.
61380
Calculate the common denominator of 113/12 and -131/60.
60
Calculate the least common multiple of 567 and 210.
5670
Calculate the common denominator of 45/8 and -5/36.
72
Calculate the smallest common multiple of 1224 and 12.
1224
What is the common denominator of 63/1480 and -109/40?
1480
What is the least common multiple of 2696 and 3707?
29656
Calculate the common denominator of -22/13 and 50/1003.
13039
What is the smallest common multiple of 155 and 124?
620
What is the common denominator of 56/255 and -67/120?
2040
Calculate the least common multiple of 6 and 1134.
1134
What is the common denominator of -38/45 and -161/6438?
96570
Find the common denominator of 83/4 and 17/4.
4
What is the smallest common multiple of 414 and 69?
414
Calculate the common denominator of -43/170 and 67/22.
1870
What is the common denominator of -41/713 and 109/874?
27094
Calculate the smallest common multiple of 6578 and 14.
46046
Calculate the least common multiple of 305 and 305.
305
Calculate the common denominator of 39/16 and 145/192.
192
What is the smallest common multiple of 348 and 6?
348
Calculate the common denominator of 71/12 and 89/148.
444
What is the common denominator of 13/102 and -23/18?
306
Calculate the lowest common multiple of 30 and 348.
1740
What is the least common multiple of 252 and 32?
2016
Calculate the lowest common multiple of 21 and 1317.
9219
What is the lowest common multiple of 36 and 33?
396
What is the lowest common multiple of 11 and 4?
44
Find the common denominator of -15 and -1/2.
2
|
{
"pile_set_name": "DM Mathematics"
}
|
*l - 10 for l.
-2
Suppose 3*q - 6*q = -12. Suppose -c + 3*d - 21 = 0, -c - d - 14 = 7. Let l be (-14)/c - (-13)/3. Solve q - l = -t for t.
1
Let k(n) = 5*n**2 - 8*n + 2*n**3 - n**3 - 6 + 0. Let p be k(-6). Solve z + z = p for z.
3
Let u be (-6)/9*-3 + 3. Solve -u*x + 3 = 13 for x.
-2
Suppose i = 3*t - 9, 6*i - i - 35 = -5*t. Suppose -2*p + 13 = f, i*p = -2*f - 3*f + 37. Suppose -4*b = -f - 7. Solve -b*g = -8*g for g.
0
Let l(f) = -f**2 + 23*f + 51. Let i be l(25). Solve i = j - 1 for j.
2
Let t(p) = 3*p + 4. Let x be t(8). Let k = 14 - x. Let v = -10 - k. Solve -v*j + 6 = -j for j.
2
Let y(k) = -k + 2. Let w be y(-2). Let a(s) = -s**3 + 5*s**2 - 5*s + 5. Let n be a(w). Solve 2*o = o + n for o.
1
Let i(t) = 6*t**2 - 1. Let h be i(1). Let y(n) = n + 5. Let p be y(-3). Solve -p*v = -3*v - h for v.
-5
Let g(i) = -i**2 + 5*i - 2. Let k be g(3). Let y = -11 + 25. Let t = -14 + y. Solve k*a = -t*a + 8 for a.
2
Suppose 3*w = 5*l - 35, 3*l = 6*w - w + 37. Suppose -l*m = 1 + 3. Let r be -2 + 0 + (1 - m). Solve -7*k + 4*k + 9 = r for k.
3
Suppose 0 = -h - 2*z - 2, -h - 2*h - 4*z - 4 = 0. Solve h = 4*w - 24 + 8 for w.
4
Suppose -n - 3*w + 0*w + 9 = 0, -3*n + w - 3 = 0. Suppose 15*r - 10*r = n. Solve r = -0*v + 3*v for v.
0
Let x be (-33*(-2)/3)/2. Let u = 11 - x. Solve u = a - 3 - 0 for a.
3
Let b(v) = v**2 - 9*v - 19. Let x be b(11). Solve l - 12 = -x*l for l.
3
Let r(t) = -2*t. Let u be r(-1). Suppose -5*f + 6 = -u*f. Solve f*k - 2 = 4 for k.
3
Suppose -s - 88 = -12*s. Solve -s*y + 3*y = 10 for y.
-2
Suppose 12*l - 4*l = 16. Solve l*a + 6 = -0*a for a.
-3
Let i be (-3 + 26/6)*6. Let o be (-14)/(-18) - i/(-36). Solve o = -2*f - 5 for f.
-3
Let f = -29 + 18. Let h = -9 - f. Solve 0 = 7*x - h*x for x.
0
Suppose 0 = 3*r - 4*d - 23, -3*r + 5*d = -17 - 11. Solve 3*i - 16 + r = 0 for i.
5
Suppose 2*v = -2*v + 20. Let b(w) = -5*w - 3. Let g = -8 + 5. Let d be b(g). Solve -v*h = -2*h - d for h.
4
Let o = -11 + 15. Solve 0 + 8 = o*b for b.
2
Suppose 4*j - 4 + 0 = 0. Let a be (-19)/(-2) + 2/(-4). Let h = a - j. Solve -h*p = -3*p for p.
0
Let k be 6/5*(-10)/(-4). Suppose k - 6 = -y. Solve -y*o = 2*o for o.
0
Let v be 138/(-36) + 1/(-6). Let h = 8 + v. Suppose -j - 6 = -h*j. Solve -j + 4 = -2*b for b.
-1
Let l = 3 + -12. Let z be l/(-2 + 1) - 0. Solve 0 = q + 2*q - z for q.
3
Suppose -4 = -5*m + 3*m. Solve -5 = -3*f - m for f.
1
Let o be 1/2*(6 - 0). Solve l - 6 = o*l for l.
-3
Suppose -5*c + 27 = 3*o - 18, 5*c = o - 15. Suppose 0*i + l - 25 = -4*i, -o = 2*i - 5*l. Solve 0 = i*a - 12 + 37 for a.
-5
Let f = 7 - 0. Let w be 6/f*21/6. Solve -w = -r - 1 for r.
2
Let d = 120 + -115. Solve 3*p - 2 = -d for p.
-1
Let c = 25 - 23. Suppose -c*r = -r. Solve 2*m = -r*m for m.
0
Let n be (-5 - (3 + -6)) + 7. Suppose 2*q - w = 2, -20 = -n*q + 2*w - 7*w. Suppose -k + 0 = -2. Solve 6 = q*r - k for r.
4
Let t = 5 + -5. Solve -4*x + 5*x - 1 = t for x.
1
Let i = 5 - 1. Suppose i*f - 15 = -f. Solve 5*s = f*s - 6 for s.
-3
Let n = -8 + 8. Suppose -4*b - b + 70 = n. Solve 2 - b = 3*t for t.
-4
Let c = -1 + 3. Let x be (c/(-6))/((-2)/18). Suppose -x*b = 4*y + y - 34, 2*b - 3*y + 9 = 0. Solve -4 = -k - b for k.
1
Let w be (-9 - 12/(-3))/(-1). Suppose 0 = 5*d + 8 - 3. Let k be 1/(d*(-1)/w). Solve y + k = 4 for y.
-1
Let c(j) be the third derivative of -j**4/12 + j**3/6 - j**2. Let v be c(-2). Suppose -n + 0*b = b - 4, 0 = 3*n - 3*b - 18. Solve -v*l - n = -20 for l.
3
Let y(o) = 6*o**3 - 2*o**2 + o. Let r be y(1). Solve r*c + 3 = 2*c for c.
-1
Let q = -45 - -46. Solve 0 + q = -g for g.
-1
Let g = -2 - -3. Solve 2*c = 5 + g for c.
3
Let h(f) = -f**3 - 6*f**2 - 6*f - 6. Let x be h(-5). Let k be 1 - x - (-4 - -3). Suppose k*m + 3*u - 27 = 0, 5*m - 6 = -4*u + 35. Solve 4*a = m*a for a.
0
Let w = 23 - 21. Solve -2*n - 2 = w for n.
-2
Let z = 16 - 10. Let v(k) = -k**3 + 8*k**2 - 13*k + 8. Let b be v(6). Suppose -f + z = b*f. Solve 1 = 3*j - f for j.
1
Let f be (3/(-2))/(2/(-8)). Suppose 2 = -2*z + n, 0*n + 2*n + 14 = -5*z. Let b = z - -4. Solve f = -4*a - b for a.
-2
Let l(a) = -a**2 + 9*a - 14. Let h be l(7). Let r = 10 + -5. Solve 0 = -h*u - r*u for u.
0
Let p be (-2)/(-4)*(-9 + 9). Solve -u - 2*u - 9 = p for u.
-3
Suppose 297 - 279 = 6*p. Let d(b) = -3*b. Let r be d(-3). Solve p + r = 4*j for j.
3
Suppose -3 = 2*w + 1. Let g be (2 - 4)*5/w. Suppose -i = 4*z + 20, g*z + 22 + 3 = 5*i. Solve 4*a - 4 = -i*a for a.
1
Suppose -3*b = 3*q - 42, -2*q - 32 = -4*q - 4*b. Suppose 0*k - q = -3*k. Solve f + k = -f for f.
-2
Suppose -12*s = -15*s + 12. Solve 10 - 2 = s*g for g.
2
Suppose 0 = -k + 4*k - 6. Suppose 0 = -4*d + 18 - k. Solve d*r = r + 15 for r.
5
Let b(k) = k**2. Let l be b(3). Let n be (5/(-2))/(3/(-6)). Solve -n*x - l = -2*x for x.
-3
Let h = -3 - -6. Suppose h*r + 3 = 12. Suppose -5*i = 2*u + 11 + 1, r*i = -3*u. Solve 5 - u = n for n.
1
Let s = 13 + -13. Solve 5 = f - s*f for f.
5
Suppose -5*h + y = -1, 4*h + 4*y + 4 = -0*y. Solve h*w + 10 = 2*w for w.
5
Suppose -c = 3*w + 6 - 31, c = 4*w - 38. Let b = 9 - w. Solve -4*p + 20 - 4 = b for p.
4
Suppose -g = 3*g + 3*h - 23, -22 = -g - 4*h. Solve 2*d + 0*d = -g for d.
-1
Let m(c) = -c**3 - c**2 - 2*c + 1. Let z be m(-2). Solve 5*h + z = -16 for h.
-5
Let m(a) = 2*a - 8. Let y = 8 + -8. Suppose 4*g - 2 = -p, y = 3*p + 2*g + 5 - 21. Let l be m(p). Solve -3*z - z - l = 0 for z.
-1
Let z = -19 - -28. Let g be 8/12 + 84/z. Suppose b - 11 = g. Solve 0 = 5*l + b + 4 for l.
-5
Let k = 6 - 2. Let u(f) = -f - 1 - k - 2. Let w be u(-9). Solve -s - w = s for s.
-1
Suppose -k + 1 = -1. Suppose 3*u - k = 10. Suppose 5*q - 2*m - 4 = -0*m, -2*q - 3*m = -13. Solve -q*a = -u*a for a.
0
Let g = 14 - 8. Suppose 2*c = -5*k + 6 + 4, -3*k + g = -4*c. Solve -w + c = 5 for w.
-5
Suppose 4*k = -4*r - 4, -4*r = -k - 13 + 2. Solve 0 = s + 7 - r for s.
-5
Let h = 22 + -19. Solve 0 = -h*b + b + 6 for b.
3
Suppose 0*i = 2*i - 10. Solve -i*w - 8 = -3*w for w.
-4
Suppose -20 + 15 = -5*w. Solve 2*j - w = 3*j for j.
-1
Let c(i) = -i**3 + 2*i**2 - 5*i + 4. Let d be c(1). Solve d*x = 4*x + 12 for x.
-3
Suppose 2 = -3*h - 13. Let d(z) = -5*z - 5. Let g be d(h). Solve -6*p - g = -p for p.
-4
Let q(u) = 2*u + 1. Let s be q(1). Let x = s + 0. Solve 0 = -x*w - 0*w for w.
0
Let m(r) = -r + 12. Let y be m(9). Suppose 0*q - y*q = -12. Solve -g + 0 = q for g.
-4
Suppose 2*c + 2*b - 11 = 15, 2*c + 4*b - 36 = 0. Solve -3*j + c = j for j.
2
Suppose -2*w + 24 = 2*w. Let p(i) = i**3 - 4*i**2 + 2*i - 6. Let q be p(4). Suppose -4*t - 4 = -q*k - 5*t, k - 4*t = -16. Solve k = -y + w*y - 5 for y.
1
Let d = -8 + 5. Let n be (-2)/d + 102/9. Solve n = 3*o - 0*o for o.
4
Suppose p + 0*p + 4 = 0. Let w = p + 8. Solve w*r - 1 - 7 = 0 for r.
2
Let g = 5 + -3. Suppose 6*u = g*u. Solve -i = -u*i for i.
0
Suppose -11 = -5*b + 29. Solve -o + b = o for o.
4
Let q = 70 - 66. Solve -1 = -3*x - q for x.
-1
Let m(v) = -v**3 - 4*v**2 + 3*v - 6. Let q be m(-5). Suppose 6 + q = h. Solve 2*w = -0*w - h for w.
-5
Let g = -10 + 13. Solve 0 = g*d - 12 for d.
4
Let o be (-1)/(4/12*-1). Solve 2 + 1 = -o*b for b.
-1
Suppose 0*c - 4*c = -5*z - 46, c - 5*z - 4 = 0. Let t be 6*(-2)/(-3)*1. Suppose 3*b = -6*i + i + c, t*i + 3*b = 10. Solve -i*r + r + 12 = 0 for r.
4
Suppose -4*t + 13 = 9*t. Solve -3*j = 2 + t for j.
-1
Suppose 4*w = 3*w - 7. Let l(v) = -4*v - 10. Let q be l(w). Solve -6 = 4*k - q for k.
3
Let y be 1 - 3*(3 + -4). Let b be (6/y)/((-15)/(-10)). Solve b = -2*p + p for p.
-1
Let s(c) = 12*c - 2. Let t be s(5). Suppose -p = h - 4, 0 = -4*p + 2*h - 18 + t. Solve -4*y - p = -0*y for y.
-2
Let u(f) = -18*f - 2. Let v be u(-1). Let j be (-42)/(-8) - 4/v. Solve -j*m = 4 + 16 for m.
-4
Let f = 29 + -28. Solve -i = 5 - f for i.
-4
Let c be -7*(2 - 48/21). Solve -c + 8 = -3*k for k.
-2
Let m(c) = -c - 6. Let h(r) = -r**3 + 6*r**2 + 9*r + 4. Let g be h(7). Suppose -5*l - g = -2*l. Let w be m(l). Solve w*t = -t for t.
0
Suppose 4*l + 2 = 5*l. Suppose 0*u + 12 = 2*u. Solve -u = q + l*q for q.
-2
Let h = 0 + 0. Suppose 4*t - 12 = 2*o, -2*t = -2*o - h - 2. Solve -t = 3*x - 8*x for x.
1
Suppose -2*v + 7 = 3. Suppose -3*x = -v*p + 2, 0 = 3*x + 6*p - 2*p - 22. Solve 0*i - x*i = 4 for i.
-2
Let w = -25 - -50. Let s = w - 25. Solve s*h = 4*h for h.
0
Suppose 0 = 5*d + 5*n - 25, 5*d - 2*n = -1 + 5. Suppose d*x - 12 = -2*x. Suppose x*
|
{
"pile_set_name": "DM Mathematics"
}
|
6*c. What is the units digit of c?
9
Let s = -36 + 54. What is the tens digit of s?
1
Suppose -s + 80 = -5*s. What is the units digit of (-268)/s + (-4)/10?
3
Let j = 64 - 42. Suppose j = 2*h - 36. What is the tens digit of h?
2
Let r(i) be the first derivative of i**4 - 4*i**3/3 + 3*i**2 - 2*i + 4. What is the units digit of r(2)?
6
Suppose -4*p - j = -4*j - 55, 5 = -2*p - 5*j. Suppose -p = -2*a - 3*a. What is the units digit of a?
2
Suppose -r + 1 = -1. Let m be 6/((r - 1)*1). What is the units digit of ((-1)/1)/(m - 7)?
1
Suppose 0 = 5*w - 0*w - 225. What is the units digit of w?
5
Suppose -2*g + 9 = -1. What is the units digit of g?
5
Suppose f + f + q + 4 = 0, 5*f + 4*q = -4. Let g = 1 - f. Suppose -g*l + 36 = -l. What is the units digit of l?
9
Suppose 7*j - 4 = 8*j. Let g(q) = 7*q + 1. Let f be g(5). What is the units digit of (j/(-3))/(8/f)?
6
Suppose -m = 2*l - 176, 200 = 2*l + m - 6*m. Let q = 127 - l. What is the units digit of q?
7
Let d(n) be the third derivative of n**5/60 - n**4/4 + n**3/2 - n**2. Let o be d(6). Suppose -24 = -3*p + p - 5*c, -o*c = -6. What is the units digit of p?
7
Let r(k) = k**3 + 17*k**2 + 12*k - 1. What is the tens digit of r(-16)?
6
Suppose 656 = 8*s + 200. What is the tens digit of s?
5
Suppose 9*s = 6*s - 9. Let t = 31 + s. What is the units digit of t?
8
What is the tens digit of 3 + -1 + (-1272)/(-4 - 2)?
1
Suppose -4*s + 198 = -450. What is the units digit of s?
2
Let s(p) be the first derivative of -p**3/3 + 3*p**2/2 - 1. Let m be s(3). Suppose -2*a + 4*f = -m*f, -5*a + 9 = -f. What is the units digit of a?
2
Suppose -3*o + 4*v + 58 = -92, -4*o - 3*v = -200. What is the tens digit of o?
5
Suppose 0 = -4*q + 2*x + 198 + 444, -5*x + 25 = 0. What is the units digit of q?
3
Let l(d) = -49*d - 1. Let b be l(2). Let t be -5*(b/15 + 1). Suppose t = o + 3*o. What is the units digit of o?
7
Suppose 3*v = 2*v + 33. What is the tens digit of v?
3
Let c(i) = 25*i + 7. Let w be c(5). Suppose 0 = 3*y - 3*z - 90, -5*y + w = -2*z - 21. What is the tens digit of y?
3
Let t(v) = v**2 + 2*v. Let z be t(-3). Suppose 2*s = z*s - 15. Let f = -10 + s. What is the units digit of f?
5
Let j(l) = l - 2. Let c be j(6). Let p(u) = 0 - 6*u + 4*u + u**2 - 5. What is the units digit of p(c)?
3
Let w(q) = -7*q**2 + q + 4. Let c(a) = a**2 + a. Let z(v) = -c(v) - w(v). What is the tens digit of z(-2)?
2
Let b = 102 + -44. What is the units digit of b?
8
What is the units digit of 85/(4/12*3)?
5
Let m(u) = 3 - u**3 + 2*u - 3 - 2*u**2 - 2. What is the units digit of m(-3)?
1
Let m be 12*1/2*4. Suppose -6*h + 3*h = -m. What is the units digit of h?
8
Let i(a) = a**2 + 6*a + 5. Let c be i(-6). Suppose -5*s + 19 = -c*u - 21, -10 = -2*s - u. What is the units digit of s*(4/(-3) + 2)?
4
Let p = 51 - 36. Suppose -2 - 11 = -3*q - m, 0 = -3*m - p. What is the units digit of q?
6
Suppose -4*q + 216 = -4*t - 84, 4*q - 297 = 3*t. What is the tens digit of q?
7
Let d(p) = p**3 - 2*p**2 - 2*p - 3. Let u(j) = j**3 + 2*j**2 - 4*j + 1. Let z be u(-3). What is the tens digit of d(z)?
2
What is the units digit of 2/((-2)/(-5)) + 2 + -1?
6
Let q = 51 - 26. What is the tens digit of q?
2
Let a = 223 - 155. What is the tens digit of a?
6
Let g(b) = -b**2 - b + 13. Let m = -6 - -16. Suppose 0 = -3*v - 2*c + m, -4*v + c + 4*c = 25. What is the units digit of g(v)?
3
Let l(z) = -z**3 + z**2. Let w be l(0). Let k = -3 + w. Let p = -2 - k. What is the units digit of p?
1
Suppose -4*u - 3*c = -1, -2*u + c = u - 17. Let t be (-255)/(-20) - 3/4. Suppose -u*p + p + t = 0. What is the units digit of p?
4
Suppose 5*n = n + 220. What is the tens digit of n?
5
Suppose -3*v + 7*v - 84 = 0. What is the tens digit of v?
2
Suppose -46 = 2*l - 8. Let b = -31 - l. What is the units digit of (-8)/b - 4/(-3)?
2
Suppose -6*x = -x + 20. What is the units digit of x/14 - (-382)/14?
7
Let t(q) = 2*q**2 + 10*q - 2. What is the tens digit of t(-10)?
9
Let d = 24 - 14. What is the tens digit of d?
1
Let j(n) = -9*n - 3. Let o(p) = -p. Let y(r) = j(r) - 6*o(r). Let c be y(-2). Suppose -2*h + 2*f = -5*h + 47, -c*h + 4*f = -23. What is the units digit of h?
3
Let v(p) = p - 4. Let n be v(6). Let o be -2 - (n - 1) - -3. Suppose -4 = -4*x - o*x. What is the units digit of x?
1
Let s(u) be the first derivative of u**7/840 - u**6/360 - u**5/40 + u**3/3 + 2. Let l(j) be the third derivative of s(j). What is the units digit of l(3)?
9
Let t(p) be the first derivative of -21*p**2/2 + 1. What is the units digit of t(-1)?
1
Let a(l) be the second derivative of l**5/10 + l**3/3 - l**2/2 + l. Suppose -8 = -5*g - j, j = 3*g - 3*j + 9. What is the units digit of a(g)?
3
Suppose -2*i + 4 = 0, -2*i = -5*c - i - 27. Let r = 8 + c. Suppose -r*d = 3 - 51. What is the units digit of d?
6
Let w = -2 - -11. Suppose -21 = -3*m - w. What is the units digit of m?
4
What is the units digit of 319/7 - 15/(-35)*1?
6
Let q = 37 - 17. Suppose 0 = -4*b - 5*l + 4, 3*b + l = -b + q. What is the units digit of b?
6
Let b(d) be the second derivative of d**5/20 + 2*d**4/3 + 2*d**3/3 - d**2/2 + 3*d. Let p be b(-8). Let k = p + 46. What is the tens digit of k?
1
Let t = -29 - -75. What is the units digit of t?
6
Let a = 1 - 2. Let v = a - -1. Suppose 4*n + v - 72 = 0. What is the units digit of n?
8
Let l(q) = -7*q**3 - 2*q**2 - q. Let d(y) = -y**2 + 4*y. Let t be d(5). Let s = 4 + t. What is the units digit of l(s)?
6
Suppose 2*y - 4 = 24. What is the tens digit of y?
1
Let w(z) be the first derivative of -z**4/4 - 3*z**3 + 9*z**2/2 - 6*z + 1. Let v be w(-10). Let c(n) = 3*n - 6. What is the units digit of c(v)?
6
Suppose -4*w - 4*s = -604, 2*w - 3*s + s - 322 = 0. What is the hundreds digit of w?
1
Let o be (-8)/(-4)*6/4. Let d(c) = -5 + 0*c - 4 + o*c. What is the units digit of d(6)?
9
Let d(j) = j**3 - 9*j**2 - 4*j + 1. Let t(h) = h**3 - 8*h**2 - 3*h. Let p(n) = 3*d(n) - 4*t(n). What is the tens digit of p(3)?
2
Let a(s) = 12*s - 50. What is the tens digit of a(31)?
2
Suppose -4*r = -2*m + 114, 0 = 5*r - 2*r + 3. What is the units digit of m?
5
Suppose 0 = -2*l + n + 3*n, 4*l - 2*n + 12 = 0. Let q(h) = h**2 + h + 4. What is the units digit of q(l)?
6
Suppose -4*i = 4*h - 44, -4*h - h - 4*i = -59. What is the units digit of h?
5
Suppose -2*s = -i - 5, -4*i + 3 = i - 3*s. Suppose -a + i + 8 = 0. What is the units digit of a?
1
Suppose 3*h = 5*i + 407, i + h + h + 71 = 0. Let z = -41 - i. What is the tens digit of z?
3
Suppose -9*h - 26 = -7*h. Let x(f) = -f**3 - 13*f**2 - 4*f - 17. What is the tens digit of x(h)?
3
Suppose 0 = -69*h + 72*h - 90. What is the units digit of h?
0
Let m be (2 + (2 - 4))*1. Suppose -o + m*o + 13 = 0. What is the tens digit of o?
1
Let r(u) = 5*u - 9. Let q be r(4). Suppose -3*b + 41 = -y, -2*b + y = -b - q. What is the units digit of b?
5
Let v be (-11 - 5)*6/8. What is the units digit of (2/(-4))/(2/v)?
3
Suppose -p = 2*w - 4*p + 8, 0 = -w + 3*p - 10. Let k = 5 + -9. What is the units digit of (w/k)/(2/(-24))?
6
Suppose 1 = -2*v + 3*h, -v + 13 = 2*h + h. Suppose -v*g - 3*n = -105, n + 29 + 40 = 3*g. What is the units digit of g?
4
Let i = 0 + -11. Let n = -7 - i. What is the units digit of (-7 + n)*(-12)/2?
8
Suppose -4*i - 3 = 2*n + 3, 0 = n - 5*i - 25. Suppose -2*f + 0 + 38 = d, 95 = n*f + 5*d. What is the tens digit of f?
1
Let y(d) = -d**3 + d**2 - 4*d - 3. Let s(r) = r**3 + 4*r + 4. Let b(m) = 4*s(m) + 5*y(m). Let a be b(5). Let i = 27 + a. What is the units digit of i?
8
Let u = 317 - 183. What is the hundreds digit of u?
1
Suppose 5*o + 1 - 16 = 0. Suppose 2*i + i + 2*w = 19, o*w - 15 = 0. What is the units digit of i?
3
Let o be 59/1 + (7 - 7). Suppose 3*n + o = 2*q, 4*n + 3 = 2*q - 55. What is the tens digit of q?
3
Suppose 0 = 10*r - 5*r - 135. What is the tens digit of r?
2
Let m = 3 - 2. Let w be 84/2 + 2 - m. Suppose -5*k - s = -w, -4*k - 2*s - 11 + 43 = 0. What is the units digit of k?
9
Let v = 38 - 7. Suppose 4*m = 4*n + 51 + 37, v = 3*m + 4*n. What is the units digit of m?
7
Suppose -2*y + 63 = 21. Suppose -x + 3 = -y. What is the tens digit of x?
2
Let d(k) be the first derivative of -k**3/3 + 7*k**2/2 - 8*k - 3. Let s be d(7). What is the units digit of (-4 + 3)*(s - -1)?
7
Suppose -4 = -2*z - 2*z - 2*x, 0 = 3*x + 12. Suppose v + k = -v + 7, z*k = 3*v + 12. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
be (20/(-25))/(1/b). What are the prime factors of 39 - (n/(-3) - -2)?
41
Suppose 0 = -4*f + 40 - 240. Let n be ((-12)/(-10))/((-15)/f). Suppose -6*v + n*v + 8 = 0. What are the prime factors of v?
2
Let r(a) = -a**3 + 6*a**2 - 2*a + 6. Let w be r(6). Let m(q) = 11 - 32 - 6*q + q - 3*q. List the prime factors of m(w).
3
List the prime factors of (-2)/(-6) + 8439/9.
2, 7, 67
Let v be (19 - -2)/(-3)*-1. Let x(l) = -17*l + 9. Let h be x(v). Let c = -66 - h. List the prime factors of c.
2, 11
Suppose 318 = -x + 1381. What are the prime factors of x?
1063
Suppose o - 10 = -6, 3*c + 5*o - 2498 = 0. What are the prime factors of c?
2, 7, 59
Let x = -435 + 304. Suppose -3*c = o + 70, 0 = 7*c - 2*c - 25. Let d = o - x. What are the prime factors of d?
2, 23
Let c be 1/(-1 - (-2)/3). Let s(q) = -q - 1. Let o(g) = -16*g - 10. Let k(j) = o(j) - 12*s(j). What are the prime factors of k(c)?
2, 7
Let n(x) = 16*x**3 + 5*x**2 - 5*x + 4. What are the prime factors of n(2)?
2, 71
Let n be 2*6/4*-1. Let p be n/18 - 3/(-18). Suppose p = i + 3*i - 120. What are the prime factors of i?
2, 3, 5
Suppose -2*b + 4*x + 1931 = -945, -2*b + 2872 = -2*x. What are the prime factors of b?
2, 3, 239
Let o = 91 + -119. What are the prime factors of o/(-2) - (0 + 2)?
2, 3
Suppose -57*g + 60*g - 2160 = 0. List the prime factors of g.
2, 3, 5
Suppose 5*x + 5*a = -0*a + 2000, 2*x - 824 = 4*a. What are the prime factors of x?
2, 101
Suppose 5*t - 5838 - 2257 = 0. List the prime factors of t.
1619
Let o(j) = j**3 + 23*j**2 + 2*j + 70. What are the prime factors of o(-21)?
2, 5, 7, 13
Suppose -5*c = 10, 0 = -4*h + c - 3*c - 96. Let t = 27 + h. Suppose -4*w - 16 = -p, -2*p - 2*w = 2*w + t. What are the prime factors of p?
2
Let w(s) be the first derivative of 6 - 5*s + 7/2*s**2. List the prime factors of w(6).
37
Let a(c) = -c**3 + 18*c**2 + 16*c + 15. Let i be a(15). Suppose -8*w = -3*w + 5*s - i, 559 = 3*w + 4*s. Let n = w + -115. What are the prime factors of n?
2, 5, 7
Suppose -l - 20 = -2*x, 5*l + 10 - 66 = -3*x. List the prime factors of x.
2, 3
Let t(o) = 2*o**2 + 41 - 77 + 37 + 6*o + 10*o. List the prime factors of t(-10).
41
Suppose o + 31 = -5*h + 9, 0 = o - h + 10. List the prime factors of 1*107 - (o + 14).
3, 5, 7
List the prime factors of 609 - (-5 - -4)*-2.
607
Let v = 19 - 28. Let s(x) = 3*x - 6*x + 2*x. What are the prime factors of s(v)?
3
Let u = -28 - -46. Suppose -p + 0*p = -u. What are the prime factors of 4/p + (-410)/(-18)?
23
Let y(p) = 200*p + 5. List the prime factors of y(3).
5, 11
Suppose 0 = 37*s - 19*s - 1998. What are the prime factors of s?
3, 37
What are the prime factors of (234/195)/((-6)/(-7220))?
2, 19
Suppose 6*s = 10*s + 80. Let r be 4/(-1)*s/8. Suppose -5*j = -25 - r. What are the prime factors of j?
7
Let x(f) = -f**2 - 10*f - 15. Let j be x(-8). List the prime factors of j/(-2)*-10 - -139.
2, 3
Let i(d) = -9*d - 14. Let j be (-1 + -11 + 3)/1. List the prime factors of i(j).
67
Let g be 2/4*(-7 + -3). Let y be ((-10)/(-8))/(g/(-20)). Suppose -13 - 7 = -y*j. List the prime factors of j.
2
Let h(f) = 4*f**2 - 7*f + 535. What are the prime factors of h(17)?
2, 3, 131
Let f be 18/(-24) + (-54)/(-8). Suppose 5*m + f = -2*s - s, 3*m - 2*s = 4. Suppose m*w = -3*w + 168. What are the prime factors of w?
2, 7
Suppose 2*m = 2 + 18. Suppose -8*y + m*y + 20 = 0. Let s(w) = -w**3 - 9*w**2 + 8*w - 14. What are the prime factors of s(y)?
2, 3
Suppose -7*z + 394 = 121. Let m = 55 + z. Let h = -40 + m. List the prime factors of h.
2, 3
Let p(h) = -7*h**2 - 6*h - 6. Let w be p(-4). Let c = 30 - w. What are the prime factors of c/7 - 4/(-14)?
2, 3
Suppose -2*r + 7 = -7. Suppose 12*h - r*h = 60. What are the prime factors of h?
2, 3
Let b(v) = 16*v - 23. Let l be b(7). Let t = 148 - l. What are the prime factors of t?
59
Suppose 5*j + 261*k = 259*k + 23350, -2*j - 3*k = -9340. What are the prime factors of j?
2, 5, 467
Suppose -c + 2*c + 37 = -5*d, 4*c - 12 = 0. Let a = d - -6. What are the prime factors of ((-84)/(-24))/((-1)/a)?
7
Suppose 0 = -14*h + 4754 + 5312. What are the prime factors of h?
719
Let b(f) = -f**3 + 16*f**2 + f - 14. Let r be b(16). Let n = r - -4. List the prime factors of 5/1*(n - 1).
5
Let b be (-6)/(-36) + 35/6. Suppose x + 5 = b. Let f(o) = 4*o**3 + 2*o**2 - o. List the prime factors of f(x).
5
Suppose 301*b = 296*b + 2495. List the prime factors of b.
499
Let o(k) = -k**3 - 2*k**2 - 2. Let x be o(-3). Let h(u) be the second derivative of u**4/12 - u**3/2 + 5*u**2 + 2*u. List the prime factors of h(x).
2, 19
List the prime factors of (-4)/42 + (-4313996)/(-1407).
2, 3, 7, 73
Let r(y) = 2*y**3 - 8*y**2 - 6*y + 13. Let d be r(6). Let u = 211 - d. What are the prime factors of u?
2, 3, 5
Suppose -2*y = 4*p + y - 1666, -2*p + 832 = 2*y. List the prime factors of p.
2, 11, 19
Suppose -g = -6*g + 4270. What are the prime factors of g/(-28)*-2*1?
61
Suppose a = -j + 556 + 690, -2*a - 4960 = -4*j. List the prime factors of j.
2, 3, 23
Let v = -512 + 954. What are the prime factors of v?
2, 13, 17
Let f(p) = 2027*p**2 - 36*p - 35. List the prime factors of f(-1).
2, 3, 13
Let z(c) be the second derivative of c**4/12 - 2*c**3/3 + 11*c**2/2 + 6*c. List the prime factors of z(5).
2
Let h(b) = -5*b**3 - 4*b**2 - 7*b + 1. Let g(f) = -9*f**3 - 9*f**2 - 13*f + 2. Let u(j) = -4*g(j) + 7*h(j). What are the prime factors of u(-5)?
59
Suppose -p + 721 = 3*w - 3*p, 2*w - 4*p = 470. What are the prime factors of w?
3
Let y = 136 - -38. What are the prime factors of y?
2, 3, 29
Let c(s) = -s**3 + 3*s + 2*s + s**2 - 3 - 5*s**2 + 3*s**2. Let m be c(-4). Suppose 4*w - m = 3*u + 83, -12 = -3*u. List the prime factors of w.
2, 3, 5
Suppose 2*r = -6*r - 480. Suppose -4*a - 45 = -9*a. What are the prime factors of (r/(-18))/(1/a)?
2, 3, 5
Let k(n) be the first derivative of n**4/4 + 14*n**3/3 - n**2/2 + n + 2. Let b(v) = 2*v**2 - 44*v - 14. Let h be b(22). List the prime factors of k(h).
3, 5
Suppose -1 = n - 11. Let y = n - 13. Let u = y + 21. What are the prime factors of u?
2, 3
Let l(x) = 2*x**3 + 35*x**2 - 54*x + 22. What are the prime factors of l(-18)?
2, 5, 67
Suppose 0 = -2*r - 0*u + u + 7, -5*u - 13 = r. Suppose r*b + 2*b = 12. Suppose 3*s - 10 = -w, b*w = 4*s - 9 + 52. List the prime factors of w.
13
Suppose -4*p + 10 = p - 4*f, -4*p - f + 8 = 0. Suppose 5*w - a - 391 = 3*a, 2*w - 160 = -p*a. List the prime factors of w.
79
Let d(k) = 379*k + k**2 - 2 - 10 - 377*k. What are the prime factors of d(-5)?
3
Let g be 8/14 + 135/21. Let w = g + 39. What are the prime factors of w?
2, 23
Suppose -54*q + 502758 = 39*q. List the prime factors of q.
2, 3, 17, 53
Let b(n) = n**3 + 7*n**2 - 6*n - 5. Let a be b(-6). Suppose -4*i + 1 = -a. List the prime factors of i.
17
Let b = 619 + 1730. List the prime factors of b.
3, 29
Let q(j) = j**2 + 24*j - 22. Let a be q(-25). Suppose -a*k + 93 = -81. List the prime factors of k.
2, 29
Let p = -622 - -2758. What are the prime factors of p?
2, 3, 89
Let k = 0 - -22. Suppose -5 + 17 = 3*a. Suppose -a*i + n + k = 8, i - n - 5 = 0. What are the prime factors of i?
3
Let z = 40 - 63. Let i = 21 + z. What are the prime factors of ((-230)/(-10))/(i/(-4))?
2, 23
Suppose 6 = 4*d + 2*l - 8, -8 = -d - 5*l. What are the prime factors of 20/d*2688/70?
2
Suppose 3 = -5*n + 18. Suppose 0 = 4*r - 2*p - 18, -5*r + 5*p = -28 + n. Suppose 2*q - 5*m = q + 33, -r*q + 60 = 4*m. What are the prime factors of q?
2, 3
Suppose 0 = 3*v + 2*v - 5, 2*v = n - 2. Suppose 31 = 2*d - t - 64, t = n*d - 195. What are the prime factors of d?
2, 5
List the prime factors of (9909/18*-2)/(-1 + -2).
367
Suppose n - 5*s = 812 - 112, 2*s = -4*n + 2800. What are the prime factors of n?
2, 5, 7
Suppose 544 = p + 2*t - 1164, 0 = -4*p + 2*t + 6882. List the prime factors of p.
2, 859
Let h(z) = 7*z**3 + z**2 + 22*z - 266. List the prime factors of h(9).
2, 1279
Suppose 157*g - 166*g = -21348. List the prime factors of g.
2, 593
Suppose 0 = -5*r + 116 - 16. Let m = r + -31. List the prime factors of 0 - -6 - (m - -10).
7
Suppose -30 = -5*c - 4*w - 12, -6 = -5*c + 2*w. Suppose 94 = c*f - 248. List the prime factors of f.
3, 19
Suppose 5*j = -4*x + 3*x - 22, -j - 11 = -2*x. Suppose 0 = -2*q + 6, 3*q - 399 = -x*h - 0*h. List the prime factors of h.
2, 5, 13
Let k(p) = 48
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose x = 3*v + 2*c - 27, 0*c - 20 = -2*v - 2*c. List the prime factors of v.
7
Let d(h) = 9*h - 2. What are the prime factors of d(5)?
43
Let a = 2 - 4. What are the prime factors of 4/a - (-2 + -11)?
11
List the prime factors of (-3)/((0 + 2)/(-10)).
3, 5
Suppose 5*w + 5*i - 35 = 0, 15 = -2*i + 5*i. Suppose w*r + 0*r - 22 = 0. List the prime factors of r.
11
Let n be (-40)/(-12) + (-2)/6. Suppose -2*i = n*i + 3*x - 10, 0 = 5*i - 3*x - 40. List the prime factors of i.
5
Let l(q) = -q - 7. Let z be l(3). Let j = 22 + z. What are the prime factors of j?
2, 3
Let k = 43 - 2. What are the prime factors of k?
41
Let w(n) be the first derivative of n**4/4 - 4*n**3/3 - 2*n**2 - 7*n - 8. List the prime factors of w(6).
41
Suppose 7*j - 119 - 315 = 0. List the prime factors of j.
2, 31
Let j(r) = -r**3 + 7*r**2 - 5*r + 2. Suppose -11 + 1 = -2*o. List the prime factors of j(o).
3
Let l(n) = 2*n. Let r be l(-1). Let a be (r - -4)*1/2. Suppose -s + 2 + a = 0. List the prime factors of s.
3
Suppose -r = 8 + 8. Let d = r - -28. List the prime factors of d.
2, 3
Suppose 0 = 2*z + 8, -2*s = s + 4*z + 4. Suppose -v - s*v - 885 = 0. What are the prime factors of 1/5 - v/15?
2, 3
Let n(f) = f**2 + 6*f + 2. Let w be n(-4). Let t(d) = d**3 + 6*d**2 + d - 1. Let x be t(w). Let m = x - -22. List the prime factors of m.
3, 5
Let v(f) = -f**3 + 4*f**2 - 2*f + 4. Let m be v(3). Let s(r) = r - 4 + 1 + 5. List the prime factors of s(m).
3
Suppose 2*c + 5*o + 8 = 0, -1 = 2*c - 2*o - 7. Let b be 8*c*(-30)/(-4). Suppose -3*m = -8*m + b. List the prime factors of m.
2, 3
Let n(f) = f + 18. Let w be n(-16). Suppose 5*c - 2*k = 226, -59 = c - w*c + 5*k. List the prime factors of c.
2, 11
Suppose -2*w + 6*w - 292 = 0. List the prime factors of w.
73
Suppose -11 = -3*a + 19. Suppose -3*s - 43 = -a. Let c = 20 + s. What are the prime factors of c?
3
What are the prime factors of (-685)/(-45) - (-6)/(-27)?
3, 5
Let d = -6 + 7. Let f(h) = -10*h**3 + 5*h**2 - 4*h + 3. Let a(p) = -20*p**3 + 11*p**2 - 9*p + 7. Let s(l) = 3*a(l) - 7*f(l). List the prime factors of s(d).
3
Let b(m) = -27*m**2 + 2*m + 4. Let l(r) = -26*r**2 + 2*r + 3. Let u(a) = 4*b(a) - 5*l(a). List the prime factors of u(1).
3, 7
Suppose 5*t - 4*h = 22, -5*h - 1 - 10 = 2*t. Suppose -13 + 1 = -l. Suppose 0 = -z + 4*q + 1, -t*z + 5*q - 2*q = -l. List the prime factors of z.
3
Let l be 1 - -1 - 1 - 1. Suppose -6*g + 4*g = l. Suppose f = -d + 14, g*f = 2*f - d - 16. List the prime factors of f.
2, 5
Let u(g) be the second derivative of g**4/12 - 2*g**3/3 - 3*g**2 + 3*g. What are the prime factors of u(6)?
2, 3
Let v(l) = -l**3 + 1. Let r be v(-1). Suppose -r*q - 23 = -3*q. List the prime factors of q.
23
Suppose k = f - 2, 0*f - f = 3*k - 2. Suppose -5*g - 5*o = -g + 37, 0 = o + 5. List the prime factors of 1 + (-2 - (k + g)).
2
Suppose -3*f = -0 - 3. Let p = f - -1. Suppose 3*s + p*s - 30 = 0. List the prime factors of s.
2, 3
Let h(i) = i**2 - 10*i - 27. List the prime factors of h(18).
3, 13
Let k(y) = 8*y + 4. What are the prime factors of k(6)?
2, 13
Let m = -20 - -11. Let a = 17 + m. List the prime factors of a.
2
Let p(q) = -q**2 + 7*q + 1. Let v be p(5). Let k = 4 + v. What are the prime factors of k?
3, 5
Let h be (4/(-3))/(2/(-3)). Let y = -2 + 6. Let c = y - h. What are the prime factors of c?
2
Let g(k) = 4 - 4 + 10*k - k**3 + 3 + 6*k**2 + 3*k**2. List the prime factors of g(10).
3
Let p(f) = 2*f - 8. Suppose 3*h - 5 - 55 = 0. Suppose -3*y = 5*t - 8, -3*y + 3*t + h = -4. List the prime factors of p(y).
2
Let z = 29 + 71. List the prime factors of z.
2, 5
List the prime factors of (-3148)/(-32) + 18/(-48).
2, 7
Let j(x) = 4*x + 7. Let g(f) = -9*f - 14. Let c(w) = 3*g(w) + 7*j(w). Let l be c(-6). Suppose -s + l = -1. List the prime factors of s.
2
Suppose 0 = -l - p + 48, -4*l + 3*p + 216 = -p. Let b = l - 23. List the prime factors of b.
2, 7
Let s be 3/((-1)/(-27)*3). Let n = -18 + s. What are the prime factors of n?
3
Let k(o) = -o**2 - 14*o - 16. Let x be k(-12). Let n(p) = 6*p - 6. List the prime factors of n(x).
2, 3, 7
List the prime factors of 4/(-14) + (-317)/(-7).
3, 5
Let h(k) = k**3 - k + 1. Let w be h(0). Suppose -8 = -x - w. Let b = x + -5. What are the prime factors of b?
2
Let y be 1/(-2) + (-21)/(-6). Suppose -5*w + 54 = -y*w. What are the prime factors of w?
3
Let o be ((-6)/(-4))/((-4)/(-8)). Suppose i + v + 2*v = 12, 0 = 2*i + o*v - 21. List the prime factors of i.
3
Let x be -2 + 1/((-1)/(-30)). Suppose 2*h = r - 3, -5*r + 0*h + x = 3*h. Suppose 4*t - 25 = 3*y - r, 12 = 4*t - 5*y. List the prime factors of t.
2
Suppose 0 = 3*r - 3*i - 15, 2*r + 0 = 5*i + 10. Suppose 5*d + 5*q - 95 = 0, -r*d - q + 91 = 2*q. List the prime factors of d.
17
Let m = -3 - -7. Suppose -3*s = -3*f + 81, m*s + 0*s - 60 = -2*f. List the prime factors of (-88)/(-14) + (-8)/f.
2, 3
Suppose -3*w = m + 2, 5*w - 5*m = -4 - 6. List the prime factors of w + -1 + 126/6.
19
Suppose 3*g + g - 36 = 0. Let w(q) = 7*q - 4. Let r be w(3). Let v = r - g. List the prime factors of v.
2
Let v = 29 + 7. What are the prime factors of v?
2, 3
Let s(y) be the second derivative of 0*y**2 - 5/6*y**3 - 1/12*y**4 + 0 - 3*y. What are the prime factors of s(-4)?
2
Let a(w) = w**2 + 1. Let i = 2 - 4. Let s be a(i). Let z = s - 3. What are the prime factors of z?
2
Let p = -37 + 61. List the prime factors of p.
2, 3
Let o(c) = -c**2 + 12*c - 14. What are the prime factors of o(10)?
2, 3
Suppose -3*v = 4*u - 363, -2*u - 5*v = 3*u - 450. What are the prime factors of u?
3, 31
Let c = 25 + -7. Suppose 0*h = 3*h + 3*w + c, 21 = 4*h - 5*w. List the prime factors of (-33)/(-3) - 1/h.
2, 3
Let u = 4 - 13. Let i(p) = p + 12. Let n be i(u). Suppose 3 = -0*q + n*q - 2*g, -q = g - 6. What are the prime factors of q?
3
Let c(r) = -21*r + 2. Let h be c(-2). Suppose -5*f + 46 = -h. List the prime factors of f.
2, 3
Suppose 0 = -r + 5*c - 2*c + 33, -3*c + 165 = 5*r. What are the prime factors of r?
3, 11
Let i(b) = -2*b + 2. Let w(a) = 3. Let p(f) = 5. Let m(j) = -4*p(j) + 7*w(j). Let l(x) = -i(x) + 3*m(x). List the prime factors of l(2).
5
Let r(k) = 51*k. What are the prime factors of r(1)?
3, 17
Let z(m) = m**2 + 7*m - 1. Let x be z(-6). What are the prime factors of -3 + 5 - x*1?
3
Let w(s) = -s**2 - 12*s + 1. Let q be w(-11). Suppose 0 = -2*a - 0 - q. Let n = a + 10. List the prime factors of n.
2
Suppose -5*j + 4 = -11. Suppose j*r - 102 + 24 = -3*l, -r - 4*l = -38. What are the prime factors of r?
2, 11
Suppose -56 = 2*r - 2*g, -2*r + 2*g = 6*g + 32. Let z = r - -11. Let d = z + 22. List the prime factors of d.
3
Let c(g) be the second derivative of g**3 + g**2/2 + 3*g. What are the prime factors of c(5)?
31
Suppose 0*c = 5*c - 40. Let g(u) = 2*u + 3. Let k be g(c). Let y = 28 - k. What are the prime factors of y?
3
Let q be (0 - 0/3)/(-2). List the prime factors of 20 + -3 + (2 - q).
19
Let s be -1*(-1 + -4)/(-1). Let h = s - -12. What are the prime factors of h?
7
Let r = -6 + 11. What are the prime factors of r?
5
Suppose 0*c = 3*c - 6. Let r be 0/(c*2/2). Suppose r = p - 6 - 0. What are the prime factors of p?
2, 3
Let u = 4 + 1. Let g = u + -9. Let d = 7 + g. What are the prime factors of d?
3
Let f be (-2 - (0 + -3))*7. Suppose -3*s - 2*p + 9 = 0, -f*p = -2*s - 2*p + 6. Suppose 0 = s*j + j, -5*d - 4*j = -50. What are the prime factors of d?
2, 5
Let r = 141 + -69. What are the prime factors of r?
2, 3
Let s = 15 - -15. Let d = s + -16. What are the prime factors of d?
2, 7
Suppose 3*p + 0*p = -i + 320, -4*p - 2*i + 426 = 0. List the prime factors of p.
107
Let y = 2 + 29. What are the prime factors of y?
31
Let i be (-31)/(-2)*(-2 + 4). Let u be (-1)/5 - i/(-5). Let q = 11 + u. List the prime factors of q.
17
Let a = 59 - 27. List the prime factors of a.
2
Let j(i) = i**3 + 6*i**2 - 9*i - 5. List the prime factors of j(-6).
7
Let a(d) = 2*d**2 + 8*d - 2. What are the prime factors of a(6)?
2, 59
Let o(h) = 3*h + 4. Let u be o(6). Suppose -l + 6 = -3*f, -l - 5*f = -u - 0. What are the prime factors of l?
2, 3
Suppose -4*h = -8*h - 24. What are the prime factors of h/(-10) - (-588)/20?
2, 3, 5
Let c = 19 - 11. Suppose -3*g = -2*g - c. What are the prime factors of g?
2
List the prime factors of (68/(-8))/(2/(-8)).
2, 17
Suppose 17*f - 16*f =
|
{
"pile_set_name": "DM Mathematics"
}
|
*l + 5 = 3*i. Let q(p) = 6*p + 4. Let h be q(4). Solve -4*t = l*a - h, a - 1 = t - 0*t for a.
4
Suppose 3*k + 1 = 4*h - 25, -h + k = -7. Let q = 41 - 29. Let d = q + 11. Solve -5*j = o + d, -h = -4*j + o - 18 for j.
-4
Let j be 0/1 + (-15)/(-3). Solve 2*l - l + 7 = 3*u, 0 = -5*l + j*u - 5 for l.
2
Suppose -4*h = 5*j - 1, 2*h - 4*j - 28 = -2*h. Solve 8 = -w - h*y, 2*w = 3*y - y + 4 for w.
0
Let n be 5 - 872/(-36) - 4/18. Solve 4*v = 5*q + n + 3, -5*v = 3*q - 3 for v.
3
Let j(m) = m**3 - 6*m**2 - m + 8. Let o = 2 - 3. Let v(z) = 7*z**2 + z. Let h be v(o). Let k be j(h). Solve 5*u - 2 = k*a - 4, 0 = -a + u - 2 for a.
-4
Suppose 7 + 5 = 3*y. Solve 0 = y*a - 2*c - 4, 0*a = a + 3*c - 15 for a.
3
Let i = 3 - 4. Let d be ((-3)/9)/(i/15). Solve -d*o = z + 7, 3*z - 4*o - 14 = z for z.
3
Suppose -26 = -4*b - 5*o, -2*o = 3*b - 7*b + 12. Solve -b*x - 14 = -2*f, -3*f - 2*f + 20 = 5*x for f.
5
Let w(p) = 5*p - 41. Let n be w(9). Solve -14 = -2*i - n*c, -i + 3 = -c - 1 for i.
5
Let x be (2/2)/(-1) + 2. Let j = x - -1. Solve -5*k + 0*i - 7 = -j*i, -i - 3 = 4*k for k.
-1
Suppose -3*z + 41 = 4*k - 0*z, -17 = -4*k + 5*z. Solve 4*w = k, 0 = -2*p - 0*w - 3*w + 8 for p.
1
Suppose -d + 3 + 4 = 0. Let y be (-1)/(-2) + -2*(-4)/(-16). Suppose -3*s + d*s = y. Solve 2*r = -s*r - 5*c + 14, -2 = -5*r + 4*c for r.
2
Let u(x) = x**3 - 5*x**2 - 7*x + 8. Let r be 28/5 + (-2)/(-5). Let y be u(r). Suppose 3*m = y*m. Solve -6*s = -4*s + 5*a + 2, -4*s - 5*a - 4 = m for s.
-1
Let h(a) be the first derivative of -a**3/3 + 3*a**2 - 6*a + 1. Let k be h(4). Suppose 3 = w - k. Solve -26 = -w*l - 3*u - u, -5*l + 2 = -2*u for l.
2
Suppose -3*l + 30 = 2*l. Let h = l - 6. Solve -r = -y - 5, -3*y + 1 - 13 = h for r.
1
Let w = -5 + 19. Solve -2*v = 10, 4*q + 4*v + w + 18 = 0 for q.
-3
Let z = 19 - 15. Suppose 2*w = 4*x + z, w + 0*x - 4*x - 4 = 0. Suppose -5*l - 5 + 25 = 0. Solve w = j - r - l, 7*j - 16 = 3*j + 3*r for j.
4
Suppose 2*c = -5*r, c - r = 2*r. Suppose 2*a + 0*a = 2*b - 4, c = -2*a - 4*b - 16. Let f be (2/(-2))/1 - a. Solve -f*p = -4*p + 2*t - 3, p = -4*t - 3 for p.
-3
Let k(o) = 2*o**3 + 11*o**2 + 11*o + 8. Let n be k(-4). Solve n = -4*f, -7*f - 17 = 2*a - 2*f for a.
-1
Suppose 4*i + 3*q = 8, 0*q + 8 = 4*i - 3*q. Solve -4*m - 1 = 3*t, 9 = -t - 3*m + i for t.
5
Let l = -3 - -7. Let f = -8 + 11. Suppose -2*g + 5 = -p - f, 5*p + 1 = -3*g. Solve x + l = 0, -g*k - x = -4*x - 9 for k.
-1
Suppose -15*d - 8 = -19*d. Solve g - d*g - 5*p = -4, 0 = 3*p - 3 for g.
-1
Let y be 2 + (1/1 - -1). Suppose 3*o = -o. Solve 2*b = 4*u - y, -u + 5*b = -o*b - 1 for u.
1
Let w = 12 + -17. Let c = w - -10. Solve -c*b - 12 = -i - b, 4*i - b = -12 for i.
-4
Let w = 24 - 21. Suppose -3*h + 42 = -4*r, 5*h - 38 = -4*r - 0*r. Let a be (-102)/(-15) - (-2)/h. Solve -2*c + 2 = 2*b, w*c = 5*b + 34 - a for b.
-3
Suppose 0 = 5*t - 7 - 8. Suppose d - t*r = 2*d + 8, 3*d = -5*r - 8. Solve 0 = -3*q - 4*s - s - 28, -d*q - s = 9 for q.
-1
Let r be (-28)/(-5) + 54/(-90). Solve 0 = -r*d + 3*w - 7 - 2, -3*w = -d + 3 for d.
-3
Let q be -14 + 0 - (5 - 3). Let j = q - -31. Solve 0 = 3*w - 3*c + j, -19 = 8*w - 3*w + c for w.
-4
Let o be -4*(-1)/(-4)*-3. Let v = 6 - o. Suppose -37 = -v*g + 38. Solve 6*h + g = 3*w + 4*h, -2*w - h + 5 = 0 for w.
5
Let c(d) = -d + 6. Let q be c(4). Solve 1 + 3 = -p + m, q*p + 2*m + 12 = 0 for p.
-5
Let c = 45 - 44. Solve 3*z + k - 16 = -z, 4*k - c = 5*z for z.
3
Let s(r) = r**3 + 4*r**2 + 3*r + 1. Let x be s(-2). Suppose -x*l + 2*l + 1 = 0. Solve -j = -2*t - 4 + l, 0 = -3*j - 15 for t.
-4
Suppose 5*m + 13*f - 16*f + 5 = 0, -5*m - 4*f = -30. Solve l = -l - 3*r + 25, -10 = -m*r for l.
5
Suppose -2*f = 3*f. Suppose f = -4*b + 5*d + 18, -3*d - 2 = 5*b - 6. Solve -3*i + b*m + 9 = -2*i, -i + 24 = -5*m for i.
-1
Let c(o) be the second derivative of -o**3/6 - 7*o**2/2 - 10*o. Let b be c(-9). Solve b*k - 2*u + u + 8 = 0, 12 = -4*k + u for k.
-2
Suppose 2*q = 4*h - 21 + 1, 2*q = -h. Solve 0 = -2*j + 3*j - 4*f - 5, -f + h = -2*j for j.
-3
Let v(y) = y - 4. Let m be v(8). Suppose 2*h - 5*k - 25 = -3*h, h - m*k - 14 = 0. Solve 4*z - 3*f = 1, f = 4*z - f - h for z.
1
Let w(v) = -v**2 - 9*v + 13. Let k be w(-10). Suppose k*f = -2*p + f + 18, 3*p + f = 21. Solve -4*q + 2*r - 6 = 0, -q - 4*r + 7*r = -p for q.
-3
Suppose -2*v + 3*q = -9, 2*v - 2*q + 3*q = 5. Suppose -5*g = -v*g - 4. Solve -24 = -4*n - g*p, -3 = -n - 2*p + 9 for n.
4
Let h be 7/(-42) + (-26)/(-12) + 0. Solve -5*l + 5*w = 25, -4*l - h*w = -0*l + 2 for l.
-2
Suppose -2*p - 17 + 47 = 0. Solve -4*k - c - 4 = -3*c, k + 3*c + p = 0 for k.
-3
Let h(f) = f**2 - 3*f - 6. Let r be h(5). Let a be (-2)/4*0/(-2). Let p be 2 - (-4 + (2 - a)). Solve -2*w = r*g + 18, w + p*w - 7 = 3*g for w.
-1
Let a = -8 - -11. Suppose a*f + 2*x = x + 91, f - 31 = -x. Suppose -p + 23 = 5*b, -f = 4*p + 5*b - 92. Solve -2*c + 3*c = -2*y - p, 0 = -3*y - 4*c - 27 for y.
-5
Let i be (2 - 4) + 0 + 4. Suppose 2 = -i*x - 0. Let d be 0 - (x + 17)/(-2). Solve -d = 2*h + 4*r, 0 = 4*h + r + 3*r + 12 for h.
-2
Suppose 2*q = -2*q. Suppose q*v + 5*v = 45. Solve 4*n + 0*m = m + 3, -2*n = 3*m + v for n.
0
Let p(d) = 2*d**2 + 4*d + 2. Let g be p(-2). Let q = 27 + -36. Let j be ((-6)/g)/(q/12). Solve -2*k - j*u = -0*k + 16, -15 = 3*u for k.
2
Suppose -o - 1 = -4. Suppose -i - 20 = -4*m + i, 3*i - o = -5*m. Solve v + l + m = 6*l, -2*v - 5*l = 6 for v.
-3
Let p be ((2 - 2) + 0)/(-1). Suppose p = -3*i + 2 + 10. Solve 0 = 5*d - 4*l - 30, i*l + 11 = -3*d - 3 for d.
2
Suppose 5*y = y + 4*v + 4, 4*y = v + 16. Suppose -5*z + 3*w + 2*w + 15 = 0, -y*z + 18 = -2*w. Solve -3*t + 1 = 4*b - 19, z*t - 22 = -3*b for t.
4
Let i be (-19)/(-4) + 27/(-36). Solve 5*z - 24 = -5*n + 11, -i*n = 5*z - 31 for n.
4
Suppose 2 = -4*b + 34. Suppose 0 = -4*j + 5*x + 4 + 24, 2*j = x + b. Solve -3*d - 2*k - 2*k - 6 = 0, 4*d - j*k = -8 for d.
-2
Let m(x) = x**3 - 4*x**2 + x - 2. Let r be m(4). Suppose -4*j - 28 = -4*i, -2*i + r*j + 10 = -i. Solve -3*p = a + 4*a + 24, 3*p - i*a - 3 = 0 for p.
-3
Suppose 5 = -5*f - 5. Let m be (-3)/((-3)/f) + 2. Solve 5*d + m = -3*a + 3, 24 = 4*d - 3*a for d.
3
Suppose -4*m + 3 = -a - 4*a, 5*m + 9 = 2*a. Let h be (-5)/(10/(-6)) + a. Solve u - 5*i - 16 = -h*i, -3*i - 13 = -4*u for u.
1
Let n(v) = 2*v - 2. Let o be n(3). Suppose -2*z = o - 10. Solve -z*u = -m - m - 9, -2*m - 7 = -u for m.
-3
Suppose -4*o - k = -93, 3*o - 3*k - 24 - 42 = 0. Solve -3*t + 4*y = -0*t + o, 5*y - 26 = t for t.
-1
Suppose 3*k - 2 = k. Suppose 4 = 3*h + 1. Let q = k - h. Solve p - 2 = 4*d - 3*d, q = 2*d + 6 for p.
-1
Let i(u) be the second derivative of -2*u**3/3 + 2*u. Let w be i(-3). Solve 5*l - 2 + 15 = -3*p, w = -4*l - 4*p for l.
-2
Let z(q) = -q**3 + 5*q**3 - 4*q**2 + q + 2*q**2. Let i be z(1). Solve -o + 4 = 5*u, -2*o - 1 - i = -2*u for o.
-1
Suppose z = 3*z - 8. Solve -s + 3*s - 14 = -z*v, 5*v - 11 = 4*s for s.
1
Suppose 0*i + 8 = -4*i. Let v = 1 - i. Solve v*j + 2*m = -1, -2*j + j + 3*m = 15 for j.
-3
Let j(p) = 8*p + 91. Let u be j(-11). Solve -4*q - 3*g + 7*g = 0, u*g = -9 for q.
-3
Suppose -15 = -51*k + 46*k. Solve -k*x - 5 = 4*z, -5*x - 3*z - 17 = -5*z for x.
-3
Suppose 0*u - 4*z = 3*u + 10, -4*z = -20. Let r be 28/6*3/1. Let c = r + u. Solve 3*h = f - c, -f + 0*h + 2*h = -1 for f.
-5
Let y = 7 - 2. Suppose 0*l = 3*w + 5*l - 12, 16 = 4*w + 5*l. Solve w*k + 11 = -0*k - y*q, -12 = 2*k - 4*q for k.
-4
Let r = 35 - 17. Solve -5*p + 58 - r = 5*k, -2*k + 12 = p for p.
4
Let v be (-18)/(-6) + -2 + -1. Solve v = 2*p - 4, -4*p - 2 = -4*x + 2 for x.
3
Let f = 6 + -6. Solve -2 + 23 = 3*i + 4*b, 5*i + 2*b - 21 = f for i.
3
Let i(b) = b - 1. Let a(m) = m - 4. Let z(p) = a(p) - 2*i(p). Let w be z(-5). Solve 1 = -3*q + 2*c, -w*q - 3 = q - 3*c for q.
3
Let a be (0/(-2) - 1)*0. Suppose 12 = 3*o - 5*o + 4*y, 5*o + 5*y - 45 = a. Solve 2*h = r - 11, 2*h + 22 = o*r + 8 for r.
1
Suppose -6*y = -0*y. Solve 2*z + 5*o = 5*z + 2, y = -z - 4*o + 5 for z.
1
Suppose 0 = 7*q - q - 18. Solve -5*s + 40 = -5*o, o + q*s - 6 = -2*o for o.
-3
Suppose 5*m - 3*m = 8. Let n = -5 - -3. Let g = n - -5. Solve g*c + 4*j = 14, -2*c + 5*j - 14 = -m*c for c.
2
Let c = 20 + -20. Solve -2*v - 4*u - 12 + 0 = c, 0 = -3*v - 2*u - 6 for v.
0
Suppose 0 = 2*t + 5*b + 5, t = b - 2*b - 1. Solve t = -3*m + 5*x - 30, 3*x - 6 = 3*m + 18 for m.
-5
Let q(r) = -18*r. Let s be
|
{
"pile_set_name": "DM Mathematics"
}
|
in descending order.
166, 6, -1, -3
Put 2/5, -13, 1/1603 in descending order.
2/5, 1/1603, -13
Put 0.5, 44, 8711, -5 in decreasing order.
8711, 44, 0.5, -5
Sort -179, 1, 135, 0.4 in decreasing order.
135, 1, 0.4, -179
Sort -3/23, -0.28191, 2/3 in ascending order.
-0.28191, -3/23, 2/3
Sort 5, 1/2, 7/3, 15, -0.4, -1.
-1, -0.4, 1/2, 7/3, 5, 15
Put 3, -2/407, -4/9, -629 in increasing order.
-629, -4/9, -2/407, 3
Sort 65, -4, 855 in descending order.
855, 65, -4
Sort 4, -1/2, 223, 11, -6.
-6, -1/2, 4, 11, 223
Sort 3, 1, -1, 7404 in increasing order.
-1, 1, 3, 7404
Put -2, 126, 42 in decreasing order.
126, 42, -2
Sort 0, 4, -5, 8, -21, 5.
-21, -5, 0, 4, 5, 8
Put -1, 3, 1/2, 2, 26.9, -0.04 in decreasing order.
26.9, 3, 2, 1/2, -0.04, -1
Put -25, 3, 2, -23, 17, 0 in decreasing order.
17, 3, 2, 0, -23, -25
Sort 4, 2, -5, -3, 118, 0 in decreasing order.
118, 4, 2, 0, -3, -5
Sort 1, -2/89, 5.4 in decreasing order.
5.4, 1, -2/89
Put 78/7, 14, 4/7, -9, 2/7 in ascending order.
-9, 2/7, 4/7, 78/7, 14
Put 16, 0.1, -0.2, -3/8, 84 in descending order.
84, 16, 0.1, -0.2, -3/8
Sort 18, 783, -4, -3.
-4, -3, 18, 783
Sort -0.5, -50, -1/54, -3/8.
-50, -0.5, -3/8, -1/54
Sort 3, 1, 2171, -4, 4, 5 in decreasing order.
2171, 5, 4, 3, 1, -4
Put 53, 4, 26363, -5 in decreasing order.
26363, 53, 4, -5
Put 15, 5, -2, 13 in descending order.
15, 13, 5, -2
Sort 1322, 2, -27 in ascending order.
-27, 2, 1322
Sort 0.5, -1, 8, 0.4033 in descending order.
8, 0.5, 0.4033, -1
Put 0, 2, -2, 5, 73, -4 in decreasing order.
73, 5, 2, 0, -2, -4
Sort 1/8, -3, 372, 5, -4, -2/5 in ascending order.
-4, -3, -2/5, 1/8, 5, 372
Sort -4/3, 259, -4, 52, -2, -1 in descending order.
259, 52, -1, -4/3, -2, -4
Sort 52, 4, 2, 85, -5 in increasing order.
-5, 2, 4, 52, 85
Sort -462/5, 6.6, -0.3 in increasing order.
-462/5, -0.3, 6.6
Sort 3, 1, 4, -17, -5 in decreasing order.
4, 3, 1, -5, -17
Sort -3, -5, -4, 1, -2, 37.
-5, -4, -3, -2, 1, 37
Put 0.02, -2/7, -4/9, -634, -4 in ascending order.
-634, -4, -4/9, -2/7, 0.02
Put -3, 2249, -5 in increasing order.
-5, -3, 2249
Sort 1, 183, 205.
1, 183, 205
Sort 4, -2, -5, -0.3, -6, 5 in descending order.
5, 4, -0.3, -2, -5, -6
Sort -1188, 0.5, 0.189.
-1188, 0.189, 0.5
Sort 29, -0.5, -5/9, -4/5, 0.
-4/5, -5/9, -0.5, 0, 29
Sort -18, -7, -3, -23 in ascending order.
-23, -18, -7, -3
Sort -197, 16, -2 in descending order.
16, -2, -197
Sort -1, 3, 274, 1511, 4.
-1, 3, 4, 274, 1511
Sort 1, 3, 6, 0, -286 in descending order.
6, 3, 1, 0, -286
Sort 2, 5, 3, 127, -5 in descending order.
127, 5, 3, 2, -5
Put 132, -0.299, 1/3 in descending order.
132, 1/3, -0.299
Sort 5, 4, 33, 2, -3, -68 in decreasing order.
33, 5, 4, 2, -3, -68
Put -12, 1, -5, -4, 111, -1 in descending order.
111, 1, -1, -4, -5, -12
Sort 3, 5, -2147, -10 in decreasing order.
5, 3, -10, -2147
Put 5, 3, -3.6, 12.9, 0 in ascending order.
-3.6, 0, 3, 5, 12.9
Put 4, -4, 11, -356, 0 in descending order.
11, 4, 0, -4, -356
Put 385, -1, -5, 14, 1 in decreasing order.
385, 14, 1, -1, -5
Put -4, 20, 2, 10, -8, 7 in ascending order.
-8, -4, 2, 7, 10, 20
Sort -1/13, -0.32, 1.6 in decreasing order.
1.6, -1/13, -0.32
Sort 425, -8, 2 in increasing order.
-8, 2, 425
Sort 16, -3, -1, 916, 3, -5 in ascending order.
-5, -3, -1, 3, 16, 916
Sort -58, -12, 198 in descending order.
198, -12, -58
Put 11, 5, 50, -9 in descending order.
50, 11, 5, -9
Sort 12, 0.33, 0.5, 2.2, 2.
0.33, 0.5, 2, 2.2, 12
Sort 114, 182, -5.
-5, 114, 182
Put 3, -2, 3/137, -4/465 in decreasing order.
3, 3/137, -4/465, -2
Put -0.6, -5, -1, 5, 17, 0 in increasing order.
-5, -1, -0.6, 0, 5, 17
Put 1/3, 3, 1/6, -9, 179, 1/2 in decreasing order.
179, 3, 1/2, 1/3, 1/6, -9
Sort -1568/13, -4, 3 in ascending order.
-1568/13, -4, 3
Sort -109, 3, 8, -3, 1, 5 in increasing order.
-109, -3, 1, 3, 5, 8
Put -3, -2, 2/23, 5.43 in descending order.
5.43, 2/23, -2, -3
Sort -4, 41, -3, 152, 2/5 in increasing order.
-4, -3, 2/5, 41, 152
Put 1/5, 0.3, 68/9, 8 in descending order.
8, 68/9, 0.3, 1/5
Put 3, -525, 5, -3, 7 in decreasing order.
7, 5, 3, -3, -525
Sort -5, -3, 4, 6, -2889 in ascending order.
-2889, -5, -3, 4, 6
Sort 118, 8, -14, 5 in decreasing order.
118, 8, 5, -14
Put 3, 90, -1, -49 in decreasing order.
90, 3, -1, -49
Sort 3, 12, -2379 in ascending order.
-2379, 3, 12
Sort 41/9, 138, 0, -2 in increasing order.
-2, 0, 41/9, 138
Put -40/27, 0.02, -0.1, -0.03 in decreasing order.
0.02, -0.03, -0.1, -40/27
Sort 4, -3583, 3, -1, 2, 7 in decreasing order.
7, 4, 3, 2, -1, -3583
Put -24, -5, -2534, -2 in descending order.
-2, -5, -24, -2534
Sort 0, 2, -1254, 3, -1 in decreasing order.
3, 2, 0, -1, -1254
Sort -6, 2, 4, -16, 19.
-16, -6, 2, 4, 19
Put -0.5, 0.6, 5, -2/3, -2/7, 2/79 in decreasing order.
5, 0.6, 2/79, -2/7, -0.5, -2/3
Sort -262, 3, -3, 0 in decreasing order.
3, 0, -3, -262
Sort -4030, 5, -5 in descending order.
5, -5, -4030
Put -5, 11, -4, 1, 4 in descending order.
11, 4, 1, -4, -5
Sort 2, 0, -1, 991.
-1, 0, 2, 991
Put 0.09, 0.4, 115 in descending order.
115, 0.4, 0.09
Put 0, -1/3, -271650 in increasing order.
-271650, -1/3, 0
Sort -2, -5, -18, 569 in decreasing order.
569, -2, -5, -18
Sort -6, 5, 19, -49.
-49, -6, 5, 19
Put 20, -3/4, -3/5, -2.6, 0 in decreasing order.
20, 0, -3/5, -3/4, -2.6
Sort 0, -10/3, 15, 5 in increasing order.
-10/3, 0, 5, 15
Sort 329, 111, 1 in decreasing order.
329, 111, 1
Put 0, -8, -1, -29, -130, -4 in descending order.
0, -1, -4, -8, -29, -130
Put 2, -206, -31, -3, -1 in descending order.
2, -1, -3, -31, -206
Sort -170, -11/112, 5.
-170, -11/112, 5
Put -32, -21, -344 in descending order.
-21, -32, -344
Put -3, 0.2, 15089, 2/5 in ascending order.
-3, 0.2, 2/5, 15089
Put -1/7, -824, -8/79 in increasing order.
-824, -1/7, -8/79
Put -0.1, 19, -210, -5, -0.3 in descending order.
19, -0.1, -0.3, -5, -210
Put 0.005, 5, 4, -1, -73 in increasing order.
-73, -1, 0.005, 4, 5
Put 2, 0, 173, 24/19 in decreasing order.
173, 2, 24/19, 0
Sort 0.5, 2/5, 29/882 in ascending order.
29/882, 2/5, 0.5
Sort -42, -827, -2.
-827, -42, -2
Sort 74, -5, 28 in descending order.
74, 28, -5
Put -5, 6, 1/4, 0.008 in descending order.
6, 1/4, 0.008, -5
Sort -32, -1/4, 1, 8020 in increasing order.
-32, -1/4, 1, 8020
Put -2/7, 142, -5, 4 in descending order.
142, 4, -2/7, -5
Put -5, -1532, -2 in decreasing order.
-2, -5, -1532
Put -6, -2, 328 in descending order.
328, -2, -6
Put -4, 496, 3, -157 in increasing order.
-157, -4, 3, 496
Sort 6, 28, -245, -1 in descending order.
28, 6, -1, -245
Sort -3/7, 126, 52, 12, 5 in increasing order.
-3/7, 5, 12, 52, 126
Sort 0, 5, 40, -6, 4, -5 in decreasing order.
40, 5, 4, 0, -5, -6
Put -5, -1, -831, 14/23, -0.8 in decreasing order.
14/23, -0.8, -1, -5, -831
Put -3, -4, -2, 20, 27 in descending order.
27, 20, -2, -3, -4
Put 0, 18, 1, 113, -4 in increasing order.
-4, 0, 1, 18, 113
Put -0.1, -14, -124, -19.5 in decreasing order.
-0.1, -14, -19.5, -124
Put -1, -15/11, -4, 1, 5/4 in decreasing order.
5/4, 1, -1, -15/11, -4
Sort 3, -5293, -4, -2, -5 in increasing order.
-5293, -5, -4, -2, 3
Put 721, -5, 20/31 in increasing order.
-5, 20/31, 721
Sort -0.84, 0.7, 0.5, 4/5 in descending order.
4/5, 0.7, 0.5, -0.84
Put -1726, 0.1, -1/2, -22 in decreasing order.
0.1, -1/2, -22, -1726
Sort 31802, -2, -5.
-5, -2, 31802
Put -0.4, -2, 121686/5 in decreasing order.
121686/5, -0.4, -2
Put 1/9, 2/3, -2/19, 5, -81, 1/2 in decreasing order.
5, 2/3, 1/2, 1/9, -2/19, -81
Sort 1/2, -1, 6, -9/206, 0.3.
-1, -9/206, 0.3, 1/2, 6
Sort 5, 4, 13, -19, 2 in increasing order.
-19, 2, 4, 5, 13
Put 64, 1, 0.18, -1, 0.2 in decreasing order.
64, 1, 0.2, 0.18, -1
Sort -20, -0.9, -23, -2, 2 in ascending order.
-23, -20, -2, -0.9, 2
Sort -25, -2, 10 in descending order.
10, -2, -25
Put 0.17, 178, -3/47 in ascending order.
-3/47, 0.17, 178
Sort -6, 12, 4998 in descending order.
4998, 12, -6
Sort -4, 4, -1, 69 in decreasing order.
69, 4, -1, -4
Sort -8, 98, -0.15, -4/7.
-8, -4/7, -0.15, 98
Sort 32, -4/7, 0.07, -18, 0.5 in descending order.
32, 0.5, 0.07, -4/7, -18
Sort 0.3, -51, 0.6, -3.2, -2 in decreasing order.
0.6, 0.3, -2, -3.2, -51
Sort -4, -3, -42370.
-42370, -4, -3
Put 3, 2, -37973, -5 in increasing order.
-37973, -5, 2, 3
Sort 361, -210, -0.3, 0.5 in decreasing order.
361, 0.5, -0.3, -210
Sort -73, 18, 0.3, -3 in descending order.
18, 0.3, -3, -73
Sort 1, -5
|
{
"pile_set_name": "DM Mathematics"
}
|
g.
19
Solve 5*y + 7*y + 78 + 78 = 0 for y.
-13
Solve 10*v - 122*v = 92 + 692 for v.
-7
Solve -156*v = 5071 + 77 for v.
-33
Solve -12*m + 41*m + 174 = 0 for m.
-6
Solve 38*m + 658 = -8*m - m for m.
-14
Solve 52847 = -2205*q - 30943 for q.
-38
Solve 0 = -14*o + 11*o - o - 32 for o.
-8
Solve -69*i - 43 + 388 = 0 for i.
5
Solve -228312*k - 1116 = -228250*k for k.
-18
Solve 5051 = -38*v + 5355 for v.
8
Solve -3*o + 3*o + 9*o - 108 = 0 for o.
12
Solve -10*k + 37 - 128 = 59 for k.
-15
Solve 0 = 2552*s - 2178*s + 2618 for s.
-7
Solve -83 = 30*p + 187 for p.
-9
Solve 8*t = 4*t + 57*t + 265 for t.
-5
Solve 61*s - 379 = -28*s - 1180 for s.
-9
Solve 13*y + 21 + 53 = 35 for y.
-3
Solve 89*g = 122*g - 33 for g.
1
Solve -12056*n + 481 = -12002*n - 167 for n.
12
Solve -205*a = -355 + 1790 for a.
-7
Solve -63*b + 30*b = 61*b + 376 for b.
-4
Solve 29*d - 48 = 5*d for d.
2
Solve -251*k = 245*k + 1 - 1 for k.
0
Solve -14651 = 1442*x - 315*x for x.
-13
Solve 0 = 2818*g - 2800*g - 126 for g.
7
Solve 121*z - 1087 = 365 for z.
12
Solve -358 = -19*y - 6*y + 17 for y.
15
Solve 2*u - 26934 = -26918 for u.
8
Solve -510 = 125*q + 710 + 280 for q.
-12
Solve 15894*d + 1948 = 16038*d + 364 for d.
11
Solve 166*f - 9022 = -216*f + 3966 for f.
34
Solve -33 = f - 44*f - 1624 for f.
-37
Solve -68*n - 22*n = 1187 + 433 for n.
-18
Solve 0 = -13*p - 11*p + 13*p - 176 for p.
-16
Solve -351*m + 444*m = 0 for m.
0
Solve -6*d + 3*d = -34 + 16 for d.
6
Solve 0 = -55880*c + 55874*c - 66 for c.
-11
Solve 25628*k - 25557*k = -213 for k.
-3
Solve 25158*g = 25170*g for g.
0
Solve -72*h + 2583 = 165*h + 50*h for h.
9
Solve -299 = -295*o + 267*o - 75 for o.
8
Solve 2033*i + 2538 = 2127*i for i.
27
Solve -56*p = 51*p + 12*p + 238 for p.
-2
Solve -5729*k - 101 = -5830*k for k.
1
Solve 0 = 16*v - 2297 + 2297 for v.
0
Solve 1190 + 1213 - 2339 = -8*f for f.
-8
Solve -247 - 373 = -135*n + 190 for n.
6
Solve -296*d - 125 = 723 + 40 for d.
-3
Solve 66*l - 6 = 20*l - 374 for l.
-8
Solve 6*g + g = -585 + 522 for g.
-9
Solve -181*y + 2221 = -393 + 80 for y.
14
Solve -11*g = 179*g - 2850 for g.
15
Solve 720*h + 215*h + 1422 = -448 for h.
-2
Solve 418 + 194 = 34*u for u.
18
Solve 24*b + 2640 = 2256 for b.
-16
Solve -41 = -65*w + 89 for w.
2
Solve -12 - 344 - 199 = -111*j for j.
5
Solve -61*f = 17*f + 543 + 1095 for f.
-21
Solve 227*q - 1178 = -40*q - 110 for q.
4
Solve -4*x + x + 48 - 63 = 0 for x.
-5
Solve 162 - 44 = 60*l - 362 for l.
8
Solve 570 - 498 = 11*y + 270 for y.
-18
Solve -351*d - 381 + 26 = -4 for d.
-1
Solve -45*b - 5282 + 4697 = 0 for b.
-13
Solve -1156 = 430*q + 1442 + 3422 for q.
-14
Solve 0 = 20*y - 311625 + 311265 for y.
18
Solve -4255*k = -4370*k + 3105 for k.
27
Solve 53*x + 1726 = 20*x + 2452 for x.
22
Solve 43*c - 16 - 208 = 120 for c.
8
Solve 23793*p - 195 = 23778*p for p.
13
Solve -15*h = 23623 - 23518 for h.
-7
Solve 272*i + 332*i - 121*i - 19320 = 0 for i.
40
Solve 1533 - 1093 = -40*c for c.
-11
Solve 261*w - 73*w = -115*w + 5151 for w.
17
Solve -55*m - 9*m = 37*m + 707 for m.
-7
Solve -162*x - 2 = 1831 - 51 for x.
-11
Solve 585*c = 586*c + 4 for c.
-4
Solve 9153*q - 3682 = 9416*q for q.
-14
Solve -2439*q = -409*q - 62930 for q.
31
Solve -58*c - 855 - 768 = -1739 for c.
2
Solve -1142 = 253*n - 114*n + 1499 for n.
-19
Solve 3*o - 1243 = -5*o - 1211 for o.
4
Solve -206*c + 51*c + 735 = -660 for c.
9
Solve 274 - 274 = 643*p for p.
0
Solve 290*q - 231*q = -1003 for q.
-17
Solve 87*w + 42 = 121 + 95 for w.
2
Solve 18*t + 6 = -38*t - 218 for t.
-4
Solve 479*k - 278*k = -1206 for k.
-6
Solve -14*u + 8*u - 10*u = 0 for u.
0
Solve 25*l + 54*l - 748 = 35*l for l.
17
Solve 209 - 276 = 264*k + 725 for k.
-3
Solve -15*g - 230 = -95 for g.
-9
Solve 10*m + 3*m + 54 = 7*m for m.
-9
Solve 1524 = -11*u + 1700 for u.
16
Solve -10*n - 14 - 58 = 8*n for n.
-4
Solve 18*x - 165*x - 879 = 1620 for x.
-17
Solve 183*u + 555 = 72*u for u.
-5
Solve -156*c + 1283 = -186 - 559 for c.
13
Solve 0*c - 11*c - 5 = 17 for c.
-2
Solve 1334*u - 653*u + 405 = 636*u for u.
-9
Solve -1561 = 58*c - 691 for c.
-15
Solve 172*f + 214*f + 1547 = 6951 for f.
14
Solve -104*d + 2523 - 239 + 1356 = 0 for d.
35
Solve 2383*a - 2459*a + 1216 = 0 for a.
16
Solve -110*p = -28*p - p - 2592 for p.
32
Solve -51*n = -326 - 592 for n.
18
Solve -220*u + 32 = 2012 for u.
-9
Solve 810 = -93*k + 26*k + 22*k for k.
-18
Solve 886 - 657 - 571 = -19*s for s.
18
Solve -105 = 14*o + 7 for o.
-8
Solve 216 - 19 = -26*v - 37 for v.
-9
Solve 195*i - 87*i - 552 = 16*i for i.
6
Solve 0 = 76628*i - 76643*i + 45 for i.
3
Solve -40*f + 64 + 446 = -530 for f.
26
Solve -117*v + 73*v + 484 = 0 for v.
11
Solve -926*f + 804*f - 2440 = 0 for f.
-20
Solve 0 = -53*a - 828 + 139 for a.
-13
Solve -519*c + 413*c + 1908 = 0 for c.
18
Solve 0 = -202*z - 647*z - 956 + 107 for z.
-1
Solve 436 - 212 = -16*o for o.
-14
Solve -52 = -34*p - 117 - 37 for p.
-3
Solve 8*s + 2490 - 2370 = 0 for s.
-15
Solve 406 = -395*o + 11 for o.
-1
Solve 3*z - 2*z - 2 = -5 for z.
-3
Solve 8*f - 4*f + 165 = -7*f for f.
-15
Solve 12*g + 8*g + 273 = -19*g for g.
-7
Solve 3719 - 3844 = -25*j for j.
5
Solve 945*n - 1118*n = -4671 for n.
27
Solve 101 + 555 = 27*g + 55*g for g.
8
Solve 550 = 78*x + 68 - 142 for x.
8
Solve -498*p + 535*p + 185 = 0 for p.
-5
Solve 128 + 256 - 4 = -38*j for j.
-10
Solve -14*r + 38 + 17 = -295 for r.
25
Solve -206*j = -77*j - 98*j - 31 for j.
1
Solve 12*a + 8*a - 88 = -68 for a.
1
Solve -216*u - 1984 = 32*u for u.
-8
Solve 11*z + 29 + 68 = 20 for z.
-7
Solve -923 + 1196 = 21*l for l.
13
Solve 291 = -63*q - 969 for q.
-20
Solve -81*j = 37*j - 12*j - 8*j for j.
0
Solve 193 = 7*x + 200 for x.
-1
Solve -67*s - 402 = 367 - 300 for s.
-7
Solve -238*c = 134*c for c.
0
Solve 1748 = -92*j - 828 for j.
-28
Solve 0 = 65*z + 7*z - 288 for z.
4
Solve -181*r - 289 = 396 + 220 for r.
-5
Solve 85176*o + 818 = 85203*o - 208 for o.
38
Solve 26*i = -29*i + 47*i + 48 for i.
6
Solve 18*t + 53 - 109 = 142 for t.
11
Solve 110*d + 153 = -125*d + 244*d for d.
17
Solve 613*z + 40 = 593*z + 600 for z.
28
Solve -11*s = -254*s + 1701 for s.
7
Solve 0 = 21*i + 1212 - 1128 for i.
-4
Solve -126*h - 513 = 45*h for h.
-3
Solve 282*d + 63*d - 3887 = 1978 for d.
17
Solve 1047*r - 365*r - 468*r = 6420 for r.
30
Solve -2107*n - 14*n - 9660 = -511*n for n.
-6
Solve -138 - 335 = 33*l + 22 for l.
-15
Solve -391*m - 29 = 421*m - 783*m for m.
-1
Solve 256 = -60*o - 164 for o.
-7
Solve -362*u + 1426 + 5090 = 0 for u.
18
Solve 28*g + 174 + 106 = 0 for g.
-10
Solve 31*u + 58*u = -158*u + 8892 for u.
36
Solve -35 + 91 = -16*g + 24 for g.
-2
Solve -48*b - 43 = -14*b + 195 for b.
-7
Solve -689 = -2441*u + 2494*u for u.
-13
Solve -59 = 16*k - 103*k + 376 for k.
5
Solve -787*j = -799*j - 144 for j.
-12
Solve -432 = 17*o - 53*o for o.
12
Solve -1272*v - 217*v - 5956 = 0 for v.
-4
Solve 0 = 455*p - 476*p - 147 for p.
-7
Solve -50*m + 10723 - 11873 = 0 for m.
-23
Solve 45065 = -34*c + 45711 for c.
19
Solve 8*o - 92934 + 92814 = -12*o for o.
6
Solve -67*p + 72 = -59*p for p.
9
Solve 27*v + 89 = 109 - 290 for v.
-10
Solve 0 = 74*n + 83*n - 325 - 3914 for n.
27
Solve -3644*a - 14 = -3646*a for a.
7
Solve 41*b + 88628 = 88259 for b.
-9
Solve 0 = 7*d + 2235 - 2193 for d.
-6
Solve 1373 + 943 = -193*j for j.
-12
Solve -178*w + 926 = -676 for w.
9
Solve 0 = 1724*n - 2117*n for n.
0
Solve -74*d + 1673 = -4*d - 427 for d.
30
Solve 1 + 58 + 19 = -13*v for v.
-6
Solve -4*w - 1728 = -1716 for w.
-3
Solve -17*r - 280 = 28*r + 25*r for r.
-4
Solve -6368 = 24*z - 6392 for z.
1
Solve -12061 = -23*w - 12015 for w.
2
Solve 570883*a + 695 + 121 = 570832*a for a.
-16
Solve -103252*u + 103226*u = -676 for u.
26
Solve 220*y - 404 = 36 for y.
2
Solve 0 = 20*z - 1797 + 2037 for z.
-12
Solve 0 = 144*a - 732*a - 2252 + 488 for a.
-3
Solve 127*z = 98*z + 348 for z.
12
Solve 5*n - 3*n = -26 for n.
-13
Solve -42*m + 0 = -92 - 244 for m.
8
Solve -66*w + 4 = -60*w - 20 for w.
4
Solve -26 + 186 = 20*o for o.
8
Solve 153 = 55*f - 46*f for f.
17
Solve 0 = 622*s - 7130 - 3444 for s.
17
Solve 0 = -27*o + 7*o + 180 for o.
9
Solve -450*i - 375 - 2958 = 4767 for i.
-18
Solve 354*b + 742 + 478 = 158 for b.
-3
Solve -124 = 10*b - 64 for b.
-6
Solve -204 = 195*p + 977 + 1549 for p.
-14
Solve -85*c + 465 = -6*c + 76*c for c.
3
Solve -228 = 5782*r - 5763*r for r.
|
{
"pile_set_name": "DM Mathematics"
}
|
**3/3 - 2*u + 12. Let c be a(-2). What is the third derivative of -11*p**c + 16*p**6 + 2*p**2 - 2*p**2 - 6*p**6 wrt p?
1200*p**3
Let n(a) be the third derivative of -a**9/504 + a**6/24 + a**5/60 - 7*a**4/24 + 198*a**2. What is the third derivative of n(d) wrt d?
-120*d**3 + 30
Let u(w) be the third derivative of -59*w**5/60 + 2*w**3/3 - 30*w**2 - 3*w. Differentiate u(y) with respect to y.
-118*y
Let a be 1/(-3)*2*-6. Let i = -290 + 293. What is the second derivative of 2*f**3 - 3*f**i + a*f + 0*f**3 wrt f?
-6*f
Let n be 54/(-15) + (-4)/10. Let c be (6/4)/((-3)/n). Find the third derivative of 2*u**2 + 4*u**5 - 2*u**2 - 3*u**2 + 4*u**c wrt u.
240*u**2
Let p(z) = -z**3 - 9*z**2 - 9*z - 7. Let g be p(-8). Let x = 5 + g. What is the first derivative of -x + 15*r - 15*r - 7*r**4 wrt r?
-28*r**3
Let a(v) = -36*v**3 - 2*v**2 + 2*v - 97. Let r(j) = 108*j**3 + 7*j**2 - 7*j + 292. Let n(m) = -7*a(m) - 2*r(m). Differentiate n(l) with respect to l.
108*l**2
Find the third derivative of 4574*u**4 - 5477*u**4 + 11*u**2 - 12*u**2 + 222*u wrt u.
-21672*u
Let v(s) be the second derivative of s**3/6 - 5*s**2 - 4*s. Let f be v(12). What is the third derivative of 4*t**5 + 0*t**5 - 7*t**f + 2*t**2 wrt t?
240*t**2
Suppose -5*o - 3 = -13. Differentiate -i**o - 31 + 14 - 34*i**4 + i**2 wrt i.
-136*i**3
Let y(t) be the first derivative of 2*t**5/5 - 10*t**3/3 - 3*t**2/2 + 95*t + 528. What is the second derivative of y(q) wrt q?
24*q**2 - 20
Suppose 4*n = n + 3. Find the first derivative of v + 0 + n + 1 + 2*v wrt v.
3
Suppose 2 = -7*o + 5*o. Let z(t) = -3*t**3 - t**2. Let a be z(o). Differentiate -3*x**a + 2 - 3 + 2 - 2 wrt x.
-6*x
Let c(u) be the first derivative of -u**8/168 + 5*u**4/12 + 8*u**3/3 - 11. Let m(t) be the third derivative of c(t). Differentiate m(z) with respect to z.
-40*z**3
Let l(q) be the second derivative of 87*q**5/10 + 95*q**4/6 - 201*q + 2. Find the third derivative of l(z) wrt z.
1044
Let y(s) be the first derivative of s**6/30 + 2*s**2 + 22*s - 10. Let w(d) be the first derivative of y(d). Differentiate w(j) with respect to j.
4*j**3
Find the second derivative of -41*z + 3*z + 83*z**2 - 49*z - 46*z wrt z.
166
Suppose f - o = 13, -3*o - 2 - 3 = -f. What is the third derivative of -48*m**2 + 18*m**2 - f*m**5 + 0*m**5 wrt m?
-1020*m**2
Suppose -c + 3 = -3. Let m(w) = w - 2. Let t be m(c). Find the first derivative of 13*s - 11*s - s - t wrt s.
1
What is the second derivative of -96*y + 64*y - 1 + 101*y**5 - 25*y**5 wrt y?
1520*y**3
Suppose -4*t - 18 = -0*j - 5*j, -2*j + 5*t + 14 = 0. Find the second derivative of -24*g + 3 + 10*g**2 + 9*g + j*g wrt g.
20
Let f(j) = -173*j**2 + 57*j + 15. Let w(d) = -173*d**2 + 56*d + 10. Let q(o) = -2*f(o) + 3*w(o). What is the second derivative of q(y) wrt y?
-346
Let p = 52 - 43. Find the second derivative of -4*g**4 - 11*g + g**4 - 12*g + p*g wrt g.
-36*g**2
Let j = 23 + -21. Find the third derivative of 15*d**4 + 454*d**j - 42*d**4 - 423*d**2 wrt d.
-648*d
Let f be (-2)/(-2) + (-4)/(-10)*5. What is the derivative of 10 + 8*y**f + y**3 + 0 + 3 wrt y?
27*y**2
Let k(b) be the third derivative of 5*b**4/24 - 2*b**3/3 + 2*b**2. Let z be k(2). What is the second derivative of 2*p + 7*p + 3*p**5 - z*p**5 - 2*p wrt p?
-60*p**3
Differentiate -182*f**4 - 17*f**2 + 114 + 14*f**2 + 3*f**2 with respect to f.
-728*f**3
Let b be 1/(-7) - 252/(-49). Suppose -b*w + j + 28 = 6, 0 = w - 2*j - 8. What is the second derivative of c**4 + 10*c**w - 6*c + 8*c**5 - 11*c**4 wrt c?
160*c**3
Let t(f) be the third derivative of 13*f**9/252 - f**8/21 - 31*f**5/3 - 106*f**2 + 4*f. What is the third derivative of t(x) wrt x?
3120*x**3 - 960*x**2
Let w be 15/(-10)*(-100)/6. What is the third derivative of -16*a**2 + 11 - 8*a**5 - 11 + w*a**5 wrt a?
1020*a**2
Find the third derivative of -918*u**4 + 266*u**2 + 218*u**2 + 55*u**2 wrt u.
-22032*u
Let d(y) be the second derivative of 0*y**5 + 7*y + 16/3*y**3 + 0 + 0*y**6 + 0*y**2 + 25/42*y**7 + 0*y**4. What is the second derivative of d(h) wrt h?
500*h**3
Let u(s) = -30*s**3 - 71*s**2 + 2*s + 4. Let i(p) = -30*p**3 - 70*p**2 + 2*p + 5. Let h(v) = 4*i(v) - 5*u(v). Find the third derivative of h(t) wrt t.
180
Let t(s) = s**3 + s**2 - 5*s + 4. Let d be t(3). What is the second derivative of 5*y - y + 8*y**2 + 21*y - d*y**2 wrt y?
-34
Find the third derivative of 75*a**5 - 77*a**5 - 55*a**5 - 148*a**5 - 2*a**2 + 3 wrt a.
-12300*a**2
Let b(o) = o**2 - 6*o - 7. Let w be b(8). Let n(h) = -2*h + 22. Let t be n(w). Find the first derivative of -3 + 2*j**t + 4 + j**4 + j**4 wrt j.
16*j**3
Let o(w) = -431*w**3 - 127*w**2 - 4. Let f(l) = -428*l**3 - 127*l**2 - 3. Let c(p) = -4*f(p) + 3*o(p). Find the third derivative of c(r) wrt r.
2514
Suppose 4*h + 8 = 0, -5*x + 30 = -x - 5*h. Differentiate 2 - 1 - 5 - x - 6*w**2 with respect to w.
-12*w
Let l be -3 + -2 + 6 + 32. What is the derivative of -8 + 58*w + 9 - 52*w + l wrt w?
6
Find the second derivative of -234*a + 112*a + 110*a - 63*a**2 wrt a.
-126
Let z(o) = -21 + 3*o**2 - 4*o - 14 + 42 - 15. Let v(a) = 7*a - 4*a**2 + 3*a**2 - 6*a**2 + 16. Let f(b) = -4*v(b) - 7*z(b). Differentiate f(g) with respect to g.
14*g
Differentiate -18668*l**2 - 274 - l + 0*l + 18520*l**2 wrt l.
-296*l - 1
Let z(g) be the second derivative of 148*g**3/3 - 13*g**2/2 - 152*g. What is the first derivative of z(w) wrt w?
296
What is the second derivative of 28*c - 3*c**3 + 200015*c**2 - 200015*c**2 wrt c?
-18*c
Suppose -9 = -3*r + 30. Find the first derivative of 0 + 38*t**3 - 6 - 4 - r*t**3 wrt t.
75*t**2
Suppose 0*l = -3*l - 3, 4*h - 5*l - 113 = 0. Find the first derivative of -4 + 9 - 20*i**4 + h*i**4 wrt i.
28*i**3
Let w(z) = -12*z - 5. Let k(y) be the first derivative of -y**2/2 - 2. Let s(c) = -3*k(c) + w(c). Differentiate s(p) with respect to p.
-9
Find the second derivative of -57*s - s**2 - 3 + 95*s**3 + 11*s + 20*s + 70*s wrt s.
570*s - 2
Let h be 48/12 + (0 - 1). Let f(c) be the second derivative of -6*c + 0*c**4 - 3/20*c**5 + 0 + 0*c**2 + 1/3*c**h. What is the second derivative of f(y) wrt y?
-18*y
Let m(q) = -260*q**3 + 4*q**2 + 4*q - 168. Let a(j) = -260*j**3 + 5*j**2 + 5*j - 168. Let p(d) = -4*a(d) + 5*m(d). What is the derivative of p(w) wrt w?
-780*w**2
Let c = -2 - -9. Suppose -c*v = -3*v - 8. What is the derivative of -3*d**3 - v + 0 - 2*d**3 wrt d?
-15*d**2
What is the first derivative of -40*g**2 - 52*g**2 + 5 + 112 wrt g?
-184*g
Let h(x) be the second derivative of 7*x**6/360 + x**4/3 + 5*x**3/3 + 4*x. Let k(q) be the second derivative of h(q). Find the first derivative of k(i) wrt i.
14*i
What is the third derivative of -15623*l**3 + 607*l**2 + l**5 + 31317*l**3 - 15622*l**3 wrt l?
60*l**2 + 432
Let b(s) be the first derivative of -8 - 31/2*s**2 + 0*s**3 + 0*s**5 + 0*s**4 + 0*s - 5/6*s**6. What is the second derivative of b(m) wrt m?
-100*m**3
Let k(r) be the third derivative of 0*r + 0 + 0*r**4 + 3*r**2 + 1/6*r**5 - r**3. Differentiate k(s) wrt s.
20*s
Let f(a) be the first derivative of -5/3*a**3 + 0*a**2 + 13 - 7/3*a**6 + 0*a**5 + 0*a**4 + 0*a. What is the third derivative of f(l) wrt l?
-840*l**2
Let j(k) = -1730*k**2 - 28*k - 1987. Let x(w) = -1153*w**2 - 20*w - 1324. Let t(y) = 5*j(y) - 7*x(y). Differentiate t(c) wrt c.
-1158*c
What is the second derivative of 19*q - 20*q**3 + 27*q**3 - 15 + q**4 - 16*q wrt q?
12*q**2 + 42*q
Suppose -4*s + 4 = 2*u, 4 + 6 = 5*u - 4*s. Suppose 0*v + u*v - 2 = 0. What is the derivative of 4*m - 10*m - 2 + v + 7 wrt m?
-6
Let t(s) be the second derivative of 15*s**8/56 - 5*s**4/6 + 8*s + 5. What is the third derivative of t(b) wrt b?
1800*b**3
Suppose -5*n + 20 = -2*j, 3*n - 3*j - 19 = 2. What is the second derivative of 6*h + 10*h + 8*h**2 - 30*h**n wrt h?
-44
Let m(y) be the third derivative of y**7/210 + 5*y**6/24 - y**5/30 + y**3/3 + 76*y**2. What is the third derivative of m(a) wrt a?
24*a + 150
Let f(u) be the second derivative of -36*u**6/5 - u**5/10 + u**4/6 - 4*u**2 - 233*u. Find the third derivative of f(q) wrt q.
-5184*q - 12
What is the derivative of 97 - 77*a**3 - 63*a**3 + 179 - 200 wrt a?
-420*a**2
What is the second derivative of -31*v**2 + 181*v - 2*v**5 - 34*v**2 + 792*v wrt v?
-40*v**3 - 130
Let u = 687 - 684. Let y(n) be the second derivative of 0 + 0*n**4 - u*n - 1/15*n**6 + 0*n**5 + 3*n**2 + 0*n**3
|
{
"pile_set_name": "DM Mathematics"
}
|
-355740484, -355740482, -355740480, -355740478, -355740476, -355740474?
2*r - 355740486
What is the b'th term of -40968, -163858, -368692, -655488, -1024264, -1475038, -2007828, -2622652?
-3*b**3 - 40954*b**2 - 7*b - 4
What is the u'th term of -6456425, -12912850, -19369275, -25825700, -32282125?
-6456425*u
What is the l'th term of 1226, 581, -1170, -4579, -10198?
-92*l**3 - l**2 + 2*l + 1317
What is the t'th term of -24346, -23830, -23312, -22792, -22270?
t**2 + 513*t - 24860
What is the w'th term of 1945834, 3891673, 5837500, 7783315?
-6*w**2 + 1945857*w - 17
What is the n'th term of -52334, -52405, -52492, -52601, -52738?
-n**3 - 2*n**2 - 58*n - 52273
What is the s'th term of -321273, -642645, -964017, -1285389, -1606761?
-321372*s + 99
What is the y'th term of 23927, 48098, 72273, 96452?
2*y**2 + 24165*y - 240
What is the w'th term of -9947, -19867, -29773, -39665, -49543, -59407?
7*w**2 - 9941*w - 13
What is the m'th term of 131, 193, 399, 815, 1507?
11*m**3 + 6*m**2 - 33*m + 147
What is the z'th term of 70688, 70927, 71172, 71423?
3*z**2 + 230*z + 70455
What is the v'th term of 4086, 7942, 11570, 14970, 18142?
-114*v**2 + 4198*v + 2
What is the g'th term of 5584, 11542, 17498, 23452, 29404?
-g**2 + 5961*g - 376
What is the y'th term of -2944, -12275, -27818, -49567, -77516, -111659, -151990?
y**3 - 3112*y**2 - 2*y + 169
What is the l'th term of 7389208, 14778410, 22167614, 29556820, 36946028, 44335238?
l**2 + 7389199*l + 8
What is the m'th term of -79090, -79022, -78954, -78886, -78818, -78750?
68*m - 79158
What is the i'th term of -130638, -270326, -410014, -549702?
-139688*i + 9050
What is the h'th term of -537683, -537700, -537715, -537728?
h**2 - 20*h - 537664
What is the f'th term of -31725, -31488, -31251, -31014, -30777, -30540?
237*f - 31962
What is the t'th term of 37620, 151538, 341408, 607236, 949028, 1366790, 1860528?
t**3 + 37970*t**2 + t - 352
What is the y'th term of 38595, 77187, 115779?
38592*y + 3
What is the j'th term of 23694, 51674, 83938, 120486, 161318, 206434, 255834?
2142*j**2 + 21554*j - 2
What is the p'th term of -6414, -6321, -6158, -5925?
35*p**2 - 12*p - 6437
What is the x'th term of -38852935, -38852918, -38852865, -38852758, -38852579, -38852310?
3*x**3 - 4*x - 38852934
What is the z'th term of -331, -603, -813, -943, -975, -891?
3*z**3 + 13*z**2 - 332*z - 15
What is the b'th term of 46438, 81912, 117384, 152854, 188322?
-b**2 + 35477*b + 10962
What is the r'th term of 1025391, 1025415, 1025437, 1025457, 1025475, 1025491, 1025505?
-r**2 + 27*r + 1025365
What is the m'th term of -265843, -265877, -265931, -266005, -266099, -266213?
-10*m**2 - 4*m - 265829
What is the p'th term of -37753057, -37753059, -37753061, -37753063, -37753065?
-2*p - 37753055
What is the n'th term of -6953, -6687, -6419, -6149, -5877?
n**2 + 263*n - 7217
What is the p'th term of 7213, 7310, 7431, 7588, 7793, 8058, 8395?
2*p**3 + 83*p + 7128
What is the r'th term of 107524530, 107524531, 107524532, 107524533?
r + 107524529
What is the i'th term of -3259, -11045, -24023, -42199, -65579?
-i**3 - 2590*i**2 - 9*i - 659
What is the r'th term of 24673, 25015, 25357, 25699?
342*r + 24331
What is the p'th term of 9884, 13276, 16668, 20060?
3392*p + 6492
What is the p'th term of 2591, 5504, 8749, 12326?
166*p**2 + 2415*p + 10
What is the v'th term of 4101907, 8203798, 12305685, 16407568, 20509447, 24611322, 28713193?
-2*v**2 + 4101897*v + 12
What is the b'th term of 9783, 20629, 32533, 45501, 59539?
b**3 + 523*b**2 + 9270*b - 11
What is the h'th term of 5582, 13132, 20684, 28238, 35794?
h**2 + 7547*h - 1966
What is the w'th term of 141155, 564563, 1270231, 2258159?
141130*w**2 + 18*w + 7
What is the z'th term of -6854, -12061, -17260, -22451, -27634, -32809, -37976?
4*z**2 - 5219*z - 1639
What is the n'th term of -83072078, -83072076, -83072074, -83072072, -83072070?
2*n - 83072080
What is the z'th term of 66781, 66786, 66793, 66802, 66813, 66826?
z**2 + 2*z + 66778
What is the h'th term of -727444, -728532, -729620, -730708, -731796?
-1088*h - 726356
What is the i'th term of -6543, -12923, -19149, -25215, -31115?
i**3 + 71*i**2 - 6600*i - 15
What is the d'th term of 5192, 18132, 39702, 69896, 108708, 156132?
-d**3 + 4321*d**2 - 16*d + 888
What is the x'th term of 123750, 495877, 1116090, 1984389, 3100774, 4465245?
124043*x**2 - 2*x - 291
What is the u'th term of -12138, -11869, -11416, -10773, -9934, -8893?
u**3 + 86*u**2 + 4*u - 12229
What is the j'th term of 97830, 195657, 293478, 391293, 489102?
-3*j**2 + 97836*j - 3
What is the o'th term of 118676, 237356, 356036, 474716, 593396?
118680*o - 4
What is the g'th term of 876611, 3506405, 7889383, 14025545, 21914891?
876592*g**2 + 18*g + 1
What is the i'th term of -1351, -2829, -4313, -5803, -7299, -8801, -10309?
-3*i**2 - 1469*i + 121
What is the k'th term of -305911, -1226900, -2761881, -4910854?
-306996*k**2 - k + 1086
What is the q'th term of 31704361, 31704360, 31704359, 31704358, 31704357, 31704356?
-q + 31704362
What is the w'th term of 1701, 3552, 5875, 8670, 11937, 15676, 19887?
236*w**2 + 1143*w + 322
What is the x'th term of 757, 2842, 6295, 11110, 17281, 24802?
-x**3 + 690*x**2 + 22*x + 46
What is the v'th term of -88406, -176733, -265060, -353387, -441714, -530041?
-88327*v - 79
What is the t'th term of -616464, -1232979, -1849494, -2466009, -3082524, -3699039?
-616515*t + 51
What is the b'th term of 719, 8038, 20237, 37316, 59275?
2440*b**2 - b - 1720
What is the w'th term of -67694, -135551, -203408?
-67857*w + 163
What is the b'th term of 2978478, 11913898, 26806264, 47655576, 74461834, 107225038?
2978473*b**2 + b + 4
What is the y'th term of -19664, -39992, -60356, -80750, -101168, -121604, -142052?
y**3 - 24*y**2 - 20263*y + 622
What is the a'th term of -872889, -1745774, -2618659, -3491544, -4364429?
-872885*a - 4
What is the h'th term of 6674578, 6674574, 6674570, 6674566, 6674562?
-4*h + 6674582
What is the o'th term of -8957, -18020, -27095, -36182, -45281, -54392, -63515?
-6*o**2 - 9045*o + 94
What is the h'th term of -102789, -410606, -923627, -1641846, -2565257, -3693854?
h**3 - 102608*h**2 - 182
What is the r'th term of -1829066, -1829084, -1829102, -1829120?
-18*r - 1829048
What is the l'th term of -127866, -255220, -382576, -509934, -637294, -764656?
-l**2 - 127351*l - 514
What is the z'th term of -788665, -788697, -788729, -788761?
-32*z - 788633
What is the d'th term of -695110451, -695110450, -695110449, -695110448?
d - 695110452
What is the z'th term of -18327, -35912, -53677, -71616, -89723, -107992, -126417, -144992?
z**3 - 96*z**2 - 17304*z - 928
What is the c'th term of -60757, -60821, -60907, -61015?
-11*c**2 - 31*c - 60715
What is the m'th term of -209431, -418932, -628435, -837940, -1047447?
-m**2 - 209498*m + 68
What is the w'th term of 16433, 15727, 15021, 14315, 13609, 12903?
-706*w + 17139
What is the m'th term of 3135, 25298, 85559, 202998, 396695, 685730?
3180*m**3 - 31*m**2 - 4*m - 10
What is the w'th term of -3589771, -14359104, -32307993, -57436438, -89744439?
-3589778*w**2 + w + 6
What is the h'th term of -5799759, -11599537, -17399321, -23199111, -28998907?
-3*h**2 - 5799769*h + 13
What is the y'th term of 4034343, 8068686, 12103029?
4034343*y
What is the l'th term of -3227, -2176, -435, 1990, 5093, 8868, 13309?
-l**3 + 351*l**2 + 5*l - 3582
What is the y'th term of -887075, -887080, -887093, -887120, -887167, -887240?
-y**3 + 2*y**2 - 4*y - 887072
What is the b'th term of -240607, -240641, -240675, -240709, -240743, -240777?
-34*b - 240573
What is the b'th term of 41160, 82398, 123636, 164874, 206112?
41238*b - 78
What is the y'th term of 87305827, 174611654, 261917481, 349223308?
87305827*y
What is the u'th term of -39730, -80138, -120548, -160960, -201374, -241790?
-u**2 - 40405*u + 676
What is the v'th term of 140227, 140067, 139907, 139747, 139587, 139427?
-160*v + 140387
What is the m'th term of -2780242, -2780243, -2780244, -2780245, -2780246, -2780247?
-m - 2780241
What is the u'th term of 198215257, 198215252, 198215247, 198215242, 198215237, 198215232?
-5*u + 198215262
What is the k'th term of 5254, 5275, 5312, 5365, 5434, 5519?
8*k**2 - 3*k + 5249
What is the z'th term of -297229, -297234, -297235, -297232, -297225, -297214?
2*
|
{
"pile_set_name": "DM Mathematics"
}
|
nd 48.88 to zero dps.
49
What is 408660 rounded to the nearest ten thousand?
410000
What is -0.0000007701 rounded to seven dps?
-0.0000008
Round 2487 to the nearest one thousand.
2000
Round 126930000 to the nearest 1000000.
127000000
What is 0.0219 rounded to 3 dps?
0.022
Round -978980 to the nearest 100000.
-1000000
Round 5.303 to the nearest integer.
5
What is 11827500 rounded to the nearest one hundred thousand?
11800000
Round 0.0000057276 to 6 dps.
0.000006
Round 0.00965 to three dps.
0.01
Round -11.695 to the nearest integer.
-12
What is -0.011813 rounded to three decimal places?
-0.012
What is 0.000992 rounded to 4 dps?
0.001
Round -0.21129 to three dps.
-0.211
Round 0.0072248 to 5 decimal places.
0.00722
What is 10835 rounded to the nearest one thousand?
11000
Round -163.46 to the nearest 100.
-200
What is -0.00161 rounded to three decimal places?
-0.002
Round 0.9792 to 1 decimal place.
1
Round -0.06 to two dps.
-0.06
What is 0.016256 rounded to 4 decimal places?
0.0163
What is -0.0519 rounded to three decimal places?
-0.052
Round 413450000 to the nearest 1000000.
413000000
What is -0.000003705 rounded to 6 dps?
-0.000004
Round -41709 to the nearest one hundred.
-41700
Round 0.099404 to two decimal places.
0.1
What is 0.0001205 rounded to 5 dps?
0.00012
Round -35.28 to 0 dps.
-35
What is -15.2 rounded to the nearest 10?
-20
What is -1005000 rounded to the nearest ten thousand?
-1010000
What is -0.00000057506 rounded to seven decimal places?
-0.0000006
What is -0.0012188 rounded to 4 dps?
-0.0012
What is 0.0478 rounded to 3 decimal places?
0.048
Round -2457800 to the nearest 100000.
-2500000
What is -232000 rounded to the nearest ten thousand?
-230000
Round 1050.6 to the nearest 100.
1100
Round 3970 to the nearest one hundred.
4000
What is 7393.4 rounded to the nearest one hundred?
7400
What is 48022000 rounded to the nearest one hundred thousand?
48000000
Round 0.0822 to 2 decimal places.
0.08
Round -39878000 to the nearest one million.
-40000000
Round -0.0763 to two decimal places.
-0.08
What is 0.003042 rounded to 3 decimal places?
0.003
What is -0.0006774 rounded to 5 decimal places?
-0.00068
Round 567380 to the nearest one hundred thousand.
600000
Round 0.015052 to four dps.
0.0151
What is 0.000034687 rounded to 5 dps?
0.00003
What is -0.1923 rounded to 2 decimal places?
-0.19
What is -0.000005799 rounded to seven decimal places?
-0.0000058
Round 0.01084 to 2 dps.
0.01
Round 0.00000068374 to 7 decimal places.
0.0000007
What is 9.3314 rounded to zero dps?
9
Round -476200 to the nearest ten thousand.
-480000
What is 399660 rounded to the nearest 10000?
400000
What is 581500 rounded to the nearest one hundred thousand?
600000
Round -8310 to the nearest one thousand.
-8000
Round 1497900 to the nearest 100000.
1500000
What is 1146000 rounded to the nearest one hundred thousand?
1100000
Round -0.029144 to three decimal places.
-0.029
Round 0.0004 to 4 decimal places.
0.0004
What is 72760 rounded to the nearest ten thousand?
70000
Round 3424560 to the nearest ten thousand.
3420000
Round 18.1 to 0 decimal places.
18
What is 0.03007 rounded to three dps?
0.03
What is -0.03974 rounded to 3 decimal places?
-0.04
Round -344017 to the nearest 1000.
-344000
What is -0.00458 rounded to 2 decimal places?
0
Round -1.45 to 1 decimal place.
-1.5
What is 20.902 rounded to zero dps?
21
What is 3.933 rounded to 1 decimal place?
3.9
Round -6.6454 to 1 decimal place.
-6.6
Round 0.023552 to three decimal places.
0.024
What is 4616 rounded to the nearest one hundred?
4600
What is -0.0625 rounded to 2 dps?
-0.06
Round -1188 to the nearest 100.
-1200
Round 116940 to the nearest 100000.
100000
What is 50730000 rounded to the nearest one million?
51000000
Round -0.000003303 to seven decimal places.
-0.0000033
What is -0.000004923 rounded to seven dps?
-0.0000049
What is -20812200 rounded to the nearest 100000?
-20800000
What is -993060 rounded to the nearest 10000?
-990000
What is -0.1608 rounded to three decimal places?
-0.161
What is -23.77 rounded to 0 decimal places?
-24
What is 11932 rounded to the nearest ten thousand?
10000
Round -0.00015657 to 6 decimal places.
-0.000157
Round -192.39 to zero decimal places.
-192
Round 9699 to the nearest one thousand.
10000
Round 942.6 to the nearest one thousand.
1000
Round -0.00091714 to four dps.
-0.0009
What is 24.68 rounded to the nearest integer?
25
Round 2753 to the nearest 100.
2800
What is 0.00077749 rounded to four dps?
0.0008
What is 0.35343 rounded to 2 decimal places?
0.35
What is 54700 rounded to the nearest ten thousand?
50000
Round -6.68 to 1 dp.
-6.7
Round 4646.49 to the nearest 1000.
5000
What is -0.0116 rounded to three decimal places?
-0.012
Round -0.00001273 to 7 dps.
-0.0000127
Round 4.3442 to one decimal place.
4.3
Round -6413900 to the nearest 1000000.
-6000000
Round 31676 to the nearest 1000.
32000
What is 0.000000927 rounded to seven decimal places?
0.0000009
What is -0.029413 rounded to 3 dps?
-0.029
What is -0.0000139661 rounded to 6 decimal places?
-0.000014
Round 0.0003224 to five dps.
0.00032
What is 0.000016921 rounded to six decimal places?
0.000017
What is 0.000002833 rounded to seven decimal places?
0.0000028
What is -0.0023171 rounded to 5 dps?
-0.00232
Round -27.974 to the nearest integer.
-28
What is -429820 rounded to the nearest 100000?
-400000
What is -0.0000305131 rounded to 7 dps?
-0.0000305
Round -0.41896 to 1 dp.
-0.4
What is 236750000 rounded to the nearest one million?
237000000
What is -2.57491 rounded to the nearest integer?
-3
What is 130.6 rounded to the nearest one thousand?
0
What is 741.72 rounded to the nearest one hundred?
700
Round -0.00018412 to 6 dps.
-0.000184
What is -39.27 rounded to the nearest ten?
-40
What is 254100 rounded to the nearest one thousand?
254000
Round -990400 to the nearest ten thousand.
-990000
Round 11900.3 to the nearest 10.
11900
Round -0.41112 to 3 decimal places.
-0.411
What is -7910000 rounded to the nearest one million?
-8000000
Round -104.6 to the nearest integer.
-105
Round -219420 to the nearest one thousand.
-219000
Round 0.00009877 to five dps.
0.0001
What is -0.00000308859 rounded to 6 decimal places?
-0.000003
Round 140700 to the nearest ten thousand.
140000
Round 0.000002232 to 7 dps.
0.0000022
Round 13530 to the nearest one thousand.
14000
Round -399.57 to the nearest 10.
-400
What is -1508.02 rounded to the nearest 100?
-1500
What is 0.0005157 rounded to six decimal places?
0.000516
What is 0.00001048 rounded to 5 dps?
0.00001
What is -0.0297 rounded to two decimal places?
-0.03
What is -0.00006581 rounded to six dps?
-0.000066
Round 0.1627 to three decimal places.
0.163
Round 1.958 to one decimal place.
2
What is -0.1592 rounded to two dps?
-0.16
What is -8260 rounded to the nearest 1000?
-8000
Round 8054.4 to the nearest 100.
8100
What is 1.50058 rounded to 2 dps?
1.5
Round -0.0113203 to three dps.
-0.011
Round 51900000 to the nearest 1000000.
52000000
What is -87050000 rounded to the nearest 1000000?
-87000000
What is 228.998 rounded to the nearest one hundred?
200
What is -0.000062968 rounded to five decimal places?
-0.00006
Round -6303 to the nearest 1000.
-6000
What is 0.0000105 rounded to 6 decimal places?
0.000011
Round 34310000 to the nearest 1000000.
34000000
What is -1.5061 rounded to 1 dp?
-1.5
What is -6029.5 rounded to the nearest 1000?
-6000
Round 49054 to the nearest one hundred.
49100
Round 697 to the nearest 10.
700
What is -0.27683 rounded to two decimal places?
-0.28
Round -0.000006332 to six dps.
-0.000006
Round -3.7259 to two decimal places.
-3.73
Round 0.0064706 to three dps.
0.006
Round -11.273 to the nearest ten.
-10
What is 516.27 rounded to 0 dps?
516
Round -12.4 to the nearest integer.
-12
Round 0.0000099133 to 7 dps.
0.0000099
What is -0.001582 rounded to three dps?
-0.002
What is -15980000 rounded to the nearest one million?
-16000000
Round 125310000 to the nearest one million.
125000000
What is -0.305264 rounded to 2 dps?
-0.31
Round -11341 to the nearest 100.
-11300
Round -600650 to the nearest 100000.
-600000
Round -0.0040447 to three dps.
-0.004
Round -0.000112 to four dps.
-0.0001
Round 0.000019205 to six dps.
0.000019
Round 462.7 to the nearest 10.
460
Round -987400 to the nearest 100
|
{
"pile_set_name": "DM Mathematics"
}
|
is the seventh root of 10525 to the nearest integer?
4
What is 26704 to the power of 1/2, to the nearest integer?
163
What is the square root of 2899 to the nearest integer?
54
What is the third root of 4089 to the nearest integer?
16
What is the third root of 1076 to the nearest integer?
10
What is 6786 to the power of 1/2, to the nearest integer?
82
What is the third root of 21499 to the nearest integer?
28
What is the square root of 513 to the nearest integer?
23
What is 500 to the power of 1/3, to the nearest integer?
8
What is the third root of 31920 to the nearest integer?
32
What is the eighth root of 2813 to the nearest integer?
3
What is the square root of 25845 to the nearest integer?
161
What is the square root of 5203 to the nearest integer?
72
What is 2924 to the power of 1/3, to the nearest integer?
14
What is the square root of 106412 to the nearest integer?
326
What is the seventh root of 96403 to the nearest integer?
5
What is the square root of 1528 to the nearest integer?
39
What is the third root of 11406 to the nearest integer?
23
What is the square root of 78418 to the nearest integer?
280
What is 33906 to the power of 1/2, to the nearest integer?
184
What is 23160 to the power of 1/2, to the nearest integer?
152
What is the fifth root of 150488 to the nearest integer?
11
What is 5699 to the power of 1/5, to the nearest integer?
6
What is 2120 to the power of 1/9, to the nearest integer?
2
What is the square root of 9573 to the nearest integer?
98
What is the square root of 29269 to the nearest integer?
171
What is 8626 to the power of 1/2, to the nearest integer?
93
What is the third root of 7071 to the nearest integer?
19
What is 31145 to the power of 1/5, to the nearest integer?
8
What is 778 to the power of 1/4, to the nearest integer?
5
What is the third root of 16729 to the nearest integer?
26
What is 2194 to the power of 1/3, to the nearest integer?
13
What is the fourth root of 7369 to the nearest integer?
9
What is the square root of 33639 to the nearest integer?
183
What is the seventh root of 5314 to the nearest integer?
3
What is the square root of 5529 to the nearest integer?
74
What is the eighth root of 5229 to the nearest integer?
3
What is the square root of 9270 to the nearest integer?
96
What is the fourth root of 762 to the nearest integer?
5
What is 37399 to the power of 1/2, to the nearest integer?
193
What is the fifth root of 4684 to the nearest integer?
5
What is 199 to the power of 1/2, to the nearest integer?
14
What is 32776 to the power of 1/5, to the nearest integer?
8
What is 22954 to the power of 1/2, to the nearest integer?
152
What is the square root of 338 to the nearest integer?
18
What is the square root of 855 to the nearest integer?
29
What is the third root of 10001 to the nearest integer?
22
What is 57542 to the power of 1/3, to the nearest integer?
39
What is the fourth root of 29416 to the nearest integer?
13
What is the cube root of 977 to the nearest integer?
10
What is 56509 to the power of 1/2, to the nearest integer?
238
What is the cube root of 6244 to the nearest integer?
18
What is the square root of 119 to the nearest integer?
11
What is the sixth root of 3750 to the nearest integer?
4
What is the tenth root of 1740 to the nearest integer?
2
What is 6301 to the power of 1/2, to the nearest integer?
79
What is the tenth root of 19710 to the nearest integer?
3
What is 10499 to the power of 1/2, to the nearest integer?
102
What is the square root of 29180 to the nearest integer?
171
What is 874 to the power of 1/4, to the nearest integer?
5
What is the square root of 22587 to the nearest integer?
150
What is 226 to the power of 1/2, to the nearest integer?
15
What is the square root of 164 to the nearest integer?
13
What is the seventh root of 65 to the nearest integer?
2
What is the ninth root of 26662 to the nearest integer?
3
What is 315 to the power of 1/10, to the nearest integer?
2
What is 8691 to the power of 1/7, to the nearest integer?
4
What is the third root of 9201 to the nearest integer?
21
What is 39857 to the power of 1/9, to the nearest integer?
3
What is the square root of 462 to the nearest integer?
21
What is the third root of 1429 to the nearest integer?
11
What is the fifth root of 30007 to the nearest integer?
8
What is the eighth root of 10813 to the nearest integer?
3
What is the third root of 280 to the nearest integer?
7
What is 85145 to the power of 1/2, to the nearest integer?
292
What is the third root of 69918 to the nearest integer?
41
What is the tenth root of 58744 to the nearest integer?
3
What is 838 to the power of 1/3, to the nearest integer?
9
What is 7936 to the power of 1/2, to the nearest integer?
89
What is 19957 to the power of 1/2, to the nearest integer?
141
What is 37988 to the power of 1/2, to the nearest integer?
195
What is 308 to the power of 1/2, to the nearest integer?
18
What is the eighth root of 463 to the nearest integer?
2
What is 151 to the power of 1/7, to the nearest integer?
2
What is the square root of 31236 to the nearest integer?
177
What is the ninth root of 2756 to the nearest integer?
2
What is 3768 to the power of 1/3, to the nearest integer?
16
What is the seventh root of 66806 to the nearest integer?
5
What is the cube root of 2040 to the nearest integer?
13
What is 3429 to the power of 1/2, to the nearest integer?
59
What is the tenth root of 22226 to the nearest integer?
3
What is the third root of 49084 to the nearest integer?
37
What is the fifth root of 815 to the nearest integer?
4
What is 1743 to the power of 1/9, to the nearest integer?
2
What is 613 to the power of 1/9, to the nearest integer?
2
What is the sixth root of 12482 to the nearest integer?
5
What is the cube root of 60696 to the nearest integer?
39
What is 142619 to the power of 1/3, to the nearest integer?
52
What is the third root of 8946 to the nearest integer?
21
What is the eighth root of 546 to the nearest integer?
2
What is 86738 to the power of 1/5, to the nearest integer?
10
What is 4134 to the power of 1/5, to the nearest integer?
5
What is the square root of 70661 to the nearest integer?
266
What is the square root of 12969 to the nearest integer?
114
What is the sixth root of 5165 to the nearest integer?
4
What is 2259 to the power of 1/6, to the nearest integer?
4
What is 32509 to the power of 1/7, to the nearest integer?
4
What is the square root of 46220 to the nearest integer?
215
What is the cube root of 82446 to the nearest integer?
44
What is the cube root of 1663 to the nearest integer?
12
What is the third root of 914 to the nearest integer?
10
What is 148187 to the power of 1/7, to the nearest integer?
5
What is the ninth root of 707 to the nearest integer?
2
What is the third root of 1521 to the nearest integer?
12
What is the tenth root of 57348 to the nearest integer?
3
What is the sixth root of 54601 to the nearest integer?
6
What is 145137 to the power of 1/8, to the nearest integer?
4
What is the square root of 31366 to the nearest integer?
177
What is 933 to the power of 1/6, to the nearest integer?
3
What is the cube root of 20011 to the nearest integer?
27
What is the square root of 15305 to the nearest integer?
124
What is the square root of 3384 to the nearest integer?
58
What is 774 to the power of 1/6, to the nearest integer?
3
What is 240 to the power of 1/9, to the nearest integer?
2
What is the third root of 1004 to the nearest integer?
10
What is 2237 to the power of 1/6, to the nearest integer?
4
What is the fourth root of 127758 to the nearest integer?
19
What is the square root of 121 to the nearest integer?
11
What is the third root of 3631 to the nearest integer?
15
What is the third root of 144 to the nearest integer?
5
What is the square root of 23446 to the nearest integer?
153
What is 131525 to the power of 1/2, to the nearest integer?
363
What is the ninth root of 24027 to the nearest integer?
3
What is 646 to the power of 1/8, to the nearest integer?
2
What is 1910 to the power of 1/2, to the nearest integer?
44
What is 2174 to the power of 1/6, to the nearest integer?
4
What is the cube root of 9494 to the nearest integer?
21
What is 3306 to the power of 1/6, to the nearest intege
|
{
"pile_set_name": "DM Mathematics"
}
|
j**3)*(-1 - 4 + 3)).
-54*j**5
Expand (2 - 2 - k)*(3*k + 1 - 1)*(-2 + 5 - 4)*(-2 + 3 + 2).
9*k**2
Expand 2*j**2 - j + j + (0*j**2 - j**2 - j**2)*(0 + 3 - 2) + 2 + j**2 - 2 - 2*j - 2*j**2 + 2*j.
-j**2
Expand (-4*d - 2*d**2 + 0*d**2 + 3*d)*(-3*d**2 + 3*d**2 + d**2).
-2*d**4 - d**3
Expand (1 - 1 + 1)*(3*h + 2*h - 4*h) + (-2 + 1 - 3)*(6*h - 3*h + 5*h).
-31*h
Expand (-3*m + 0*m + 5*m + (-4 - m + 4)*(2 + 0 - 3))*(-4*m - 3*m + 5*m + (2*m + 4*m - 4*m)*(5 - 2 - 1)).
6*m**2
Expand (17*l**3 + 36 - 36)*(-2*l**2 - l + l) + 2*l**2 + 3*l**5 + 0*l**2 - l**5 - 2*l**5 - l**5 + 7*l**5.
-28*l**5 + 2*l**2
Expand (1 - 3 + 1)*(0 - 2 + 1)*(9 + 13*g - 9).
13*g
Expand (-5 - 2 - 4*k**2 + 6)*(2*k + 0*k - k)*(5*k - 6 + 6).
-20*k**4 - 5*k**2
Expand (-2 - 9 + 0)*(l + 0*l - 5*l).
44*l
Expand (23*g - 5 - 1 + 4)*(2 + 2*g + 2 - 3).
46*g**2 + 19*g - 2
Expand (-p**2 + 3*p**2 - 4*p**2)*(-2 - p**2 + 2) - p**4 - 3*p**2 + 3*p**2 - 4*p**4 + 5*p**4 - 4*p**4.
-2*p**4
Expand (-4*b + 4*b - b)*(-2*b + 2*b + 3*b) - 3*b**2 - 6*b**2 + 5*b**2 + 3*b**2 - 4*b**2 + 2*b**2 + b**2 + 3*b**2 - 2*b**2.
-4*b**2
Expand (3*b**3 - 7*b**3 - 2*b**3)*(b**2 - 1 + 1) - 3*b**5 - 2*b**5 + 3*b**5 + b**2 - 2*b**5 - b**2.
-10*b**5
Expand (2*h**4 + h**4 + 0*h**4 + (2*h - 4*h + h)*(-2 + 2 - h**3))*(0 + 1 - 3 + (2 + 2 - 6)*(1 - 2 - 1) + 0 - 2 + 4 + 2 + 0 + 0 - 3 + 4 + 1 + 4 + 4 - 5).
44*h**4
Expand (1 + 0 + 0)*(-12 + 12 - 3*g**3 + 3*g**5) - 2*g**5 + 2*g**4 - 2*g**4.
g**5 - 3*g**3
Expand (-4 + 10 + 5)*(-q - 2*q**4 + q).
-22*q**4
Expand (-1 + 3 + 1)*(d + 0*d + 3*d)*(6*d - 5*d + 2*d).
36*d**2
Expand (0*p + 4*p - 3*p)*(-p + 2 - 2).
-p**2
Expand (0*r - r + 0*r)*(3 - 3 - 9) - r + r + 2*r.
11*r
Expand (-3 - 1 + 6)*(3*o**3 - 4*o**3 + 3*o**3) + (-5*o + 0*o + o)*(-4*o**2 + o**2 + o**2).
12*o**3
Expand (q - q - 2*q)*(-25*q - 2 - 5 + 5).
50*q**2 + 4*q
Expand -3*q**3 + 4*q**3 + q**3 + (-2 + 2 + 1)*(4*q - 4*q + q**3) + 3*q**3 - 5*q**3 + 0*q**3 + (0*q**2 + 5*q**2 - 3*q**2)*(2 - 2 - q).
-q**3
Expand (-1 + 4 - 2)*(-4*h + 6*h + 0*h) - 4*h - 3 - h + h.
-2*h - 3
Expand (-4*b + 4*b + 2*b)*(-2 - 4 + 4) - b - b + 4*b + 2*b - 3*b + 2*b.
-b
Expand ((3*c**3 + 6*c**2 - 6*c**2)*(1 + 2 - 1) + (3*c + 2*c - 4*c)*(-2*c + 2*c + 2*c**2) + 0 + 0 - c**3)*(7*c**2 + 3*c**2 - 5*c**2).
35*c**5
Expand (-2*w + 1 - 1)*(5 + 5 - 6)*(3 + 0 + 2).
-40*w
Expand (x + 0 + 5 + 0)*((0 + 2*x**3 + 0)*(-4*x - 3*x + 5*x) + 3*x**4 + x**4 - 2*x**4 - 4*x**2 + 3*x**4 + 4*x**2).
x**5 + 5*x**4
Expand (-4*s**2 - 2*s**2 + 5*s**2)*(-s**2 - 4*s**2 + 4*s**2)*(125*s + 70*s + 8*s).
203*s**5
Expand (3*j**2 + 6*j**2 - 2*j**2)*(-j**2 + 0*j**2 + 6*j**2) - j**4 - 2*j**4 + 4*j**4.
36*j**4
Expand (2*j**4 - 4*j**4 - 4*j**4)*(0 - 2*j + 0) + 2*j**5 - j**4 + j**4 + (2*j**3 + j**3 - 5*j**3)*(-2*j**2 - 2*j**2 + 2*j**2) + 0*j**2 + 2*j**5 + 0*j**2.
20*j**5
Expand (-3 + 1 + 5)*((3*c - 6*c + c)*(-2 + 1 + 3) + c - 4*c + 0*c).
-21*c
Expand (-4 - 2*v**2 + 4)*(2 + 0 - 1) - 4*v**2 + 2*v**2 + 0*v**2 + (-3 + 3 - 2*v)*(-2*v + v + 3*v) - v**2 - 3*v**2 + 0*v**2.
-12*v**2
Expand (-4 - 11*z**4 - 4 + 10)*(-z + 0*z + 2*z) - 3 - 2*z**5 + 3.
-13*z**5 + 2*z
Expand (-128*u**2 + 58*u**2 + 68*u**2 - 7*u)*(-3*u**3 + u**3 + 3*u**3).
-2*u**5 - 7*u**4
Expand (-u**3 - u + 0*u + 0*u)*(3 - 4 + 2) + 2*u**3 - 2*u**3 + 9*u**3.
8*u**3 - u
Expand (-4*m + 38 - 38)*(2*m**2 + 3 + 7*m**2 + m - 7*m**2).
-8*m**3 - 4*m**2 - 12*m
Expand (0*o - 4*o + 5*o)*(-o**2 - 2*o + 2*o + (0*o + 3*o - 2*o)*(-1 + 1 + 2*o) - 51 + 51 + 16*o**2).
17*o**3
Expand (14*h**3 + 17*h**3 - 5*h**3)*(2 - 4 + 4 + h)*(-2*h + h + 0*h).
-26*h**5 - 52*h**4
Expand (5*m**3 + 7*m**3 + 6*m**3)*(-1 + 2*m**2 + 1).
36*m**5
Expand (2 - 2 + 3 + 4 - 4 - 1 + (-3 + 5 + 0)*(-1 + 3 - 1))*(4 - 4 + 5*b).
20*b
Expand 3*d + 11*d + 4*d - 1 + 2*d - 2*d + d - 1 - 2*d + 1 + (2 - 6 + 2)*(-2*d + 4*d - d) + d - 3*d + d - d + 0 - 1 - d.
12*d - 2
Expand (2*h**3 - 5*h**3 + 5*h**3)*(2*h - 5*h + h + (0 + 0 + h)*(1 - 1 - 3))*(h - 4*h + 4*h).
-10*h**5
Expand (3 + 0 - 2)*(-4*w + 0*w + 3*w) + 0 - w + 0 + w - 3*w + 3*w + 2*w - 2*w + 11*w.
10*w
Expand 4*c**4 - 4*c**4 - 4*c**4 + c**4 - 2*c**3 + 2*c**3 + (0*c**2 + c**2 - 2*c**2)*(2*c**2 + c**2 - 5*c**2).
-c**4
Expand (4*l**2 - 3*l**2 - 4*l**2)*(-8 - 3*l + 8 + (l - 4*l + 4*l)*(4 - 4 + 2) + l + 4*l - 3*l - l + 4*l - l - 2 + 2 - l).
-6*l**3
Expand (2*t**3 + 2*t**3 - 6*t**3)*(-2 + 0 + 3) + 4*t**3 - 107 + 107.
2*t**3
Expand (-1 + 1 - 4)*(-a + 4*a + 0*a) + 4 + 2*a - 4.
-10*a
Expand (-1 + 3 - 6)*(2 + 0 - 1)*(0*v + 2*v - v).
-4*v
Expand 3*y - 4*y + 3*y + 5*y + 3*y - 10*y + (4*y - 3*y + y)*(-1 + 0 + 0).
-2*y
Expand (-42 + 42 + 9*s**4)*(2 + s - 2) + 2*s**5 + 0*s**5 - 3*s**5.
8*s**5
Expand ((3 - 3 - 1)*(-2*h - h + 2*h) - 3*h - 2*h + 3*h)*(0*h**2 + 5*h**2 - 2*h**2).
-3*h**3
Expand 2*v**3 - 2*v**3 + v**4 + (0*v**2 + v**2 - 3*v**2)*(-4*v**2 - 3*v**2 + 6*v**2).
3*v**4
Expand (101*y - 101*y + 3*y**3 + 2*y**2 - 2*y**2 + y**3 + (2*y - 3 + 3)*(-y**2 - 5 + 5))*(-4 - 1 + 3).
-4*y**3
Expand (0 - 1 + 4 + (3 + 8 - 6)*(2 - 4 + 1))*(-3*b + 2*b + 0*b).
2*b
Expand (0*n - n + 0*n)*(1 - 4 + 1)*(3*n**2 - 3*n**2 + 5*n**2).
10*n**3
Expand (a**3 - 6*a**3 + a**3)*(a + 2*a - 5*a)*(0 - 5 + 2).
-24*a**4
Expand (0*x + 0*x + x)*(30*x - 30*x + 15*x**3).
15*x**4
Expand (-5 + 5 - 5)*(6 + 3 - 4)*(3*j - 2 + 2).
-75*j
Expand -4*a**2 + a**2 + 2*a**2 + (3*a - 2*a - 2*a)*(-2 - 6*a + 2).
5*a**2
Expand (2 + 1 - 2)*(-z + 3*z + z) + (10 + 0 - 4)*(0*z + 2*z - z).
9*z
Expand (2*w - w + w)*(-10*w**3 - 5 + 5)*(-w + 0*w + 6*w).
-100*w**5
Expand (0*m**2 + m**4 + 0*m**2)*(0*m + m - 3*m) - 3*m**5 - 3*m**5 + 2*m**5 + (3*m - 3*m - 4*m**2)*(3*m**3 - m**3 + 0*m**3) - m**5 + 3*m**5 + 0*m**5.
-12*m**5
Expand (-3*a + a**2 + 5*a + 0*a**2)*(28*a - 92*a + 36*a).
-28*a**3 - 56*a**2
Expand (-2*l - 2 + 2)*(0*l - 3*l + 2*l)*(2 - 2 - 3*l**3).
-6*l**5
Expand -2*f**2 + 2*f**2 - 12*f**4 + (f + f - 3*f)*(0*f**3 + 2*f**3 - 3*f**3) - 4*f**4 + 5*f**4 - 4*f**4 + f**3.
-14*f**4 + f**3
Expand (-2*w + 6*w + w)*(1 - 1 - 2).
-10*w
Expand -4*j**4 + 5*j**4 - 2*j**4 + 6*j**3 - 6*j**3 - 43*j**4 + (-3*j + 6*j - 2*j)*(j**3 + 0*j**3 + j**3).
-42*j**4
Expand (4*n**3 - 2*n**3 + 0*n**3)*(-2 - 4 + 4) + 3*n**3 - 2*n**3 + 0*n**3 + 10*n**3 + 11*n**2 - 11*n**2.
7*n**3
Expand (6 + 15 - 9)*(0 + 1 + 1 + z)*(z - z - z).
-12*z**2 - 24*z
Expand (-1 + g + 10 - 7)*(2*g**2 - 2*g**2 + g**2).
g**3 + 2*g**2
Expand (-3*y**2 + 2*y**5 + 3*y**2 + (3*y - 3*y - 2*y)*(-y**4 + 4*y**4 - 2*y**4) - 4*y**5 + 0*y**5 + 2*y**5)*(0 + 2 - 3).
2*y**5
Expand (2*y - 3*y + 2*y)*(-3 - 1 + 3)*(-y**3 + 0*y**3 - 2*y**3).
3*y**4
Expand 0*x**2 + 0*x**2 + 2*x**5 + (x + 2*x**2 - x)*(-3*x**3 + 2*x**3 + 3*x**3) + 0*x - 2*x**5 + 0*x + 0 - 26*x**5 + 0.
-22*x**5
Expand (-1 + 0 - 1)*(3*b - 4*b + 0*b).
2*b
Expand 9*x**2 - 4*x**2 - 8*x**2 - 4*x + (2*x**2 - 2*x**2 - 2*x**2)*(-2 - 5 + 5).
x**2 - 4*x
Expand (4*z - 2 + 2)*((-2 - 1 + 4)*(0 + 1 + 1) + (5 - 1 - 3)*(0 + 5 - 3)).
16*z
Expand -o**5 - o**5 + o**5 + (0 - o**3 + 0)*(o**2 + o**2 + 0*o**2) + 7*o**2 - 4*o**5 - 7*o**2 + (-2*o**2 - 5*o**2 + 6*o**2)*(4*o**3 - 6*o**3 + 6*o**3).
-11*o**5
Expand (-2*v**3 + 2*v**4 + 2*v**3 - 3*v + 3*v + 2*v**4 + 1 + v**4 - 1 + (-2*v**4 - 2*v**4 + 2*v**4)*(-2 - 1 + 1) - 306*v**2 + 30*v**4 + 306*v**2)*(1 + 0 + 1).
78*v**4
Expand (-d**3 + d**3 - d**3)*((6*d - 3*d + d)*(-3*d + 4*d - 2*d) + (-d - 2*d + 2*d)*(d - 7*d - 6*d)).
-8*d**5
Expand (h - 4*h + 0*h)*((1 - 3 + 1)*(-2 + 2 - h) - 3*h + 2*h + 2*h + h - 3 + 3 + (-1 + 1 + 2)*(3*h + h - 3*h) - h - 3 + 3)*(h + 0*h + h).
-24*h**3
Expand (1 - 6 + 0)*(-3*b**2 - b**2 + 3*b**2).
5*b**2
Expand (n**5 - 2*n**5 - n**5)*(0 - 1 - 3) - 4*n**5 - 2*n**5 + 2*n**5 + 5*n**5 - 3*n**5 - 3*n**5.
3*n**5
Expand (11*q - 9*q + q)*(q + 5*q - 3*q).
9*q**2
Expand (-7*l + 3*l - 2 + 5*l)*(2*l + 2*l - 7*l).
-3*l**2 + 6*l
Expand (-3 - 1 + 0)*(1 + 2 + 3)*(-4*q + q + q).
48*q
Expand (-2 - 1 + 2)*(4*m + 0*m - 3*m) - 27 - 32 + 56 + 5*m.
4*m - 3
Expand -2*g**5 + 4 - 4 - g**5 + 4*g**4 - 4*g**4 + (g - g + 2*g**3)*(-3*g**2 + 5*g**2 - 3*g**2).
-5*g**5
Expand y**2 + 3 - 3 + 2*y**2 - y**2 + y**2 + (-2 + 2 - 2*y)*(2*y - 3 + 3) + 4*y**2 + 0*y**2 + y**2.
4*y**2
Expand (2*f**4 - 3*f**4 + 3*f**4)*(16*f + 28*f + 6*f + 6*f).
112*f**5
Expand (-4 - d + 4 + (-2 - 4 + 3)*(2*d - 2*d - d))*(-2*d**2 - 3 + 3)*(-2*d**2 + 6*d**2 - 2*d**2).
-8*d**5
Expand (l**2 - 3*l**2 - 2*l**2)*(0*l - 4*l + 5*l) + (0 + 0 - 2*l**2)*(-l - 2*l + 6*l) + 0*l**3 - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
*q - 20 = -q. Calculate the greatest common factor of j and p.
18
Let s = -750 + 764. Suppose n - 378 = -3*f, -f + 504 = 3*f - 5*n. What is the highest common divisor of s and f?
14
Let q(f) = 3*f - 25. Let x be q(10). Suppose -5*t - 125 = -3*l + 50, 150 = 2*l + x*t. Calculate the highest common divisor of l and 26.
13
Suppose 9*j = 16*j + 42. Let y be 1/(j/(-2) + -2). What is the greatest common divisor of 9 and y?
1
Let n = 78 + -114. Let r = n - -49. What is the greatest common factor of 104 and r?
13
Suppose -18 = 7*t - 4. Let l be t/11 + (-369)/(-33). What is the highest common divisor of l and 11?
11
Suppose 2*z + 401 = 3*z. Let h = z - 197. What is the greatest common factor of 34 and h?
34
Let h(n) be the third derivative of n**5/12 + n**3/6 + 6*n**2. Let x be h(-2). Calculate the greatest common factor of x and 168.
21
Suppose -2*x = 4*b - 56, 12 = 5*x + b - 164. Let j = x + -27. Let t be j/(-15) - (-624)/40. Calculate the greatest common divisor of 105 and t.
15
Suppose 0 = 3*d - 6*d - 9, 5*d + 47 = 2*f. Let p = -12 + f. Let x be 4/16*p - -27. Calculate the highest common factor of x and 70.
14
Let m(j) = 5*j**2 + 26*j - 183. Let w be m(6). Let k be 2/3*(-51)/(-2). Calculate the greatest common divisor of k and w.
17
Let n = -14 - -28. Suppose 2*s - y = 440, 1100 = 5*s - 3*y - y. Suppose 2*c + 23 - 97 = 2*t, -2*t + s = 5*c. Calculate the highest common divisor of c and n.
14
Let u be 1/((-24)/(-20) + -1). Suppose -x = -u*x + 20. Suppose 4*q + 3*s - 47 = 0, 2 = 4*q - 5*s - x. What is the highest common divisor of 32 and q?
8
Suppose 3*d - 2*d - 3*o - 21 = 0, -5*d - 2*o = -122. Suppose m + 5*w - d = 0, 180 = 4*m + w - 2*w. Calculate the highest common divisor of 22 and m.
22
Suppose 0 = -3*r - 21 + 66. Suppose s + 4*q - 4 = 151, 0 = -4*s + 5*q + 515. Calculate the highest common divisor of r and s.
15
Suppose -5*l + 2037 - 233 = -h, -4*l + 1436 = h. What is the greatest common factor of 20 and l?
20
Suppose -2*c - 8 = 0, -399 = 4*a - 5*a + 3*c. What is the highest common factor of 9 and a?
9
Let f(v) = -v**3 + 9*v**2 - 2*v + 4. Let i = -12 - -9. Let h be 2/i*(-21)/2. Let m be f(h). What is the highest common factor of m and 8?
8
Suppose 401 = h + 396. What is the greatest common divisor of 8 and h?
1
Suppose 0 = -9*f + 35*f - 9100. What is the greatest common divisor of 50 and f?
50
Let d be 4/3*27/18. Let f(y) = -y**3 - 5*y**2 - 6*y - 3. Let m be f(-4). Calculate the highest common divisor of d and m.
1
Suppose 2*o - 5*q = 54, o + 94 = 4*o - q. Suppose 0*l = 2*l. Suppose -2*w + c + 3 = 0, l*c - 5 = 5*w - 5*c. Calculate the highest common factor of o and w.
4
Let m be ((-83)/(-1))/(-1*1). Let n = -6 - m. Suppose 0 = -2*y - 0*d + 2*d + 42, -n = -2*y - 5*d. Calculate the highest common divisor of y and 39.
13
Suppose 4*m - 60 = 4*o, 20*o - 25*o = m - 27. Let x = 4 - -13. What is the greatest common divisor of x and m?
17
Suppose s + 6512 = 38*s. Calculate the highest common factor of 32 and s.
16
Let v be (-1 - 6)*(-50)/(-175) - -121. What is the highest common factor of 34 and v?
17
Suppose -5*k = -386 - 1214. What is the greatest common factor of 512 and k?
64
Let c = 6700 + -6697. Suppose 0 = -4*o + 5*o - 4. What is the highest common divisor of o and c?
1
Suppose -t + 0 = -5*m + 17, 1 = -m - 2*t. Let c(n) = -23 + 2*n - 4*n**3 + 23 - m*n**2. Let l be c(-3). Calculate the greatest common divisor of 30 and l.
15
Let d be 4 - (-1 + -4 + 1). Suppose -32 = -4*c + d. Calculate the highest common factor of 70 and c.
10
Suppose -2*r + 4*r + i - 9 = 0, -4*i + 24 = 4*r. Suppose 21 = 2*x - r. Calculate the highest common factor of 3 and x.
3
Let u be 912/13 + -6 + (-2)/13. Calculate the greatest common factor of 208 and u.
16
Let m(b) = -b**2 + 3*b - 1. Let s be 22/10 + -2 + 9/5. Let w be m(s). Let y = 9 + -4. Calculate the highest common factor of y and w.
1
Suppose 2*i = 2*m + 16, -2*i + m = 2*m - 10. Suppose -2*n + n + 1 = 0. Let a be -3 + 4 + -1 + (n - -2). Calculate the greatest common divisor of i and a.
3
Suppose -y = 5*x - 140, 3*y = 2*x - 52 - 4. Calculate the greatest common divisor of 224 and x.
28
Let a = -1035 + 1483. Suppose 4*r = 6*r - a. What is the greatest common divisor of r and 28?
28
Suppose 2*g + 5*q - 38 = -33, -2 = 5*g - 2*q. Let x = -1 + 5. Suppose 2*p = -3*w + w + 112, g = x*p - 16. What is the highest common divisor of 26 and w?
26
Let o = 91 + -79. Calculate the greatest common factor of o and 300.
12
Let v = 100 + -82. Suppose -3*r + 2268 = v*r. Calculate the greatest common divisor of 12 and r.
12
Let h be 0 - (-1 - 0)*-239. Let i = h - -425. Suppose -4*m = -10 - i. What is the highest common factor of m and 7?
7
Suppose 0 = -1782*c + 1787*c - 2160. Calculate the highest common factor of 12 and c.
12
Suppose -2*v = 2*v - 84. Suppose -4*y = -v - 171. Let u(p) = 3*p**2 + 11*p - 18. Let o be u(-6). Calculate the highest common divisor of o and y.
24
Let i = 392 - 230. Calculate the highest common divisor of i and 72.
18
Let u = 434 + -74. Calculate the greatest common divisor of 160 and u.
40
Let o = 1895 + -1823. Calculate the highest common divisor of o and 54.
18
Suppose 0*l + 4*l - 64 = 0. Let p be (-53798)/(-481) + (-4)/(-26). What is the greatest common factor of l and p?
16
Let d(z) = z**2 + 54*z - 649. Let y be d(-65). Calculate the greatest common factor of y and 55.
11
Suppose -2*q = -5*n - q + 778, -n + 5*q = -146. Calculate the highest common divisor of n and 104.
52
Suppose -103 = 4*f - 543. Suppose 0 = -c + 6*c - 50. Calculate the highest common factor of f and c.
10
Let q be -3*((-272)/(-12) - 4). Let m be (33/44)/((-6)/q). Calculate the greatest common divisor of 14 and m.
7
Let b(r) = -r**3 + 4*r**2 - r + 2. Let h be b(3). Suppose -h = -8*m + 10*m. Let o be 36/15 + m/10. What is the greatest common divisor of 4 and o?
2
Let k = 82 + -26. Calculate the greatest common divisor of k and 119.
7
Let f(p) = -p + 7. Let z be f(-7). Let d = 34 - z. Let g = -118 - -123. What is the highest common factor of g and d?
5
Let c be -14*(-3 + 65/25 + (-48)/30). Suppose -4*d + 3*d + 21 = 0. What is the greatest common divisor of d and c?
7
Let m = 38 - 34. Let s be (-4)/((-8)/m) + 13 + 1. Let d(j) = 2*j - 2. Let p be d(5). What is the greatest common factor of s and p?
8
Let v = 16 - -14. Suppose 5*y = 4*o + 5, o - 4*y - y + 20 = 0. Suppose -217 - 158 = -o*u. What is the highest common factor of v and u?
15
Let j(o) = -12*o + 1015. Let x be j(0). Calculate the highest common factor of 35 and x.
35
Suppose -5*j + 3 = -0*j - 3*t, -5 = j - 2*t. Let c(r) = 10*r**2 + r**3 + r - j*r - 3 - 9. Let b be c(-10). What is the greatest common divisor of b and 88?
8
Suppose 2 = s, 0*s + 1852 = 5*r + s. Let x = r - 170. Calculate the greatest common divisor of 25 and x.
25
Let j(n) = n**3 + 6*n**2 + n - 2. Let t be j(-4). Let a = -50 - -66. Let k be (-4)/a + (-1563)/(-12). Calculate the highest common factor of k and t.
26
Let k = 348 + -75. Suppose -5*v - 3 + k = 0. Suppose -4*x + 2*r + 62 = -44, 0 = -4*x + 4*r + 104. What is the highest common divisor of v and x?
27
Let a be (-1 - 0)*3/(-3) + 7. Calculate the greatest common factor of 6 and a.
2
Let y(f) = 84*f - 4. Let i be y(1). Suppose -m + 2*s = -42, -3*m + 0*s = 5*s - 71. Calculate the greatest common divisor of i and m.
16
Let p = -1606 + 1826. Calculate the highest common factor of 280 and p.
20
Suppose 5*j - h = 317, j + 7*h - 8*h - 65 = 0. What is the highest common divisor of 81 and j?
9
Let p = 46 + -43. Suppose 2 + 16 = p*c. Suppose -3*w + 10 = -2, -4*w = 3*y - 22. Calculate the greatest common factor of c and y.
2
Let r(i) = 131*i - 626. Let o be r(5). Calculate the highest common factor of o and 1421.
29
Suppose -238 = -5*r - 4*f, r = -4*r + 2*f + 256. Suppose 5 = -i - 3*z, 4*i = -0*z - 3*z - 47. Let a = 24 + i. What is the greatest common divisor of a and r?
10
Let m(f) = -f**3 + f**2 - 5*f - 5. Let i be m(-4). Let p = i + -39. Suppose 48*n - 127 = 257. Calculate the greatest common divisor of p and n.
8
Let a be (3/2)/((-9 + 6)/6). Let d(z) be the third derivative of -7*z**4/4 - z**3 + z**2. Let w be d(a). What is the highest common factor of 15 and w?
15
Let k(r) = 3*r - 3. Let o be k(2). Let i be 40 - (o - (-1 - -4)). What is the greatest common divisor of i
|
{
"pile_set_name": "DM Mathematics"
}
|
642568689709 - 0.9
-642568689709.9
Put together -366.2372352 and 1409.3.
1043.0627648
Add 96985369.72 and -316.
96985053.72
What is -5 minus 242157658328?
-242157658333
Calculate -560893.677951 - -7.
-560886.677951
Put together -4123820 and 588.
-4123232
Calculate 0.11 - 771471728105.
-771471728104.89
248094317461+-4
248094317457
Work out 5 - -164155765210.
164155765215
Calculate 167774432 - 34072.
167740360
Calculate 14174 - 115762.186.
-101588.186
What is the difference between -62820 and -5.33731657?
62814.66268343
Put together 0 and 40749640160556.
40749640160556
84315627922.4+-32
84315627890.4
1248+-0.0705162238
1247.9294837762
What is -67.392413 take away 498765?
-498832.392413
Add together -6.3 and -571343429.
-571343435.3
Put together -3516 and -431408407.6.
-431411923.6
Add -15600.8 and 427462285.
427446684.2
Subtract 3 from -1.08430883903.
-4.08430883903
Add 4.43 and -162466.312.
-162461.882
Work out -4819 - 14345705.
-14350524
Subtract 0.04 from -34527824826.
-34527824826.04
What is -0.38 take away -2062.749526523?
2062.369526523
Add together -4512670 and 65483.
-4447187
What is -8 less than -12083654104824?
-12083654104816
Work out 18054990 + 240.8336.
18055230.8336
Add together 3051390718241 and -4.
3051390718237
Work out -21482296600364 - -0.19.
-21482296600363.81
54884648 - -0.038564
54884648.038564
Subtract -77785 from -0.0948451.
77784.9051549
What is 87185903 take away 6.55?
87185896.45
Add together -5.7 and 9.07428151.
3.37428151
What is 81.754 take away 1620659.5?
-1620577.746
What is 6.23795 minus 501832?
-501825.76205
-15+-11934761899
-11934761914
Calculate -2.8 - -732450.13754.
732447.33754
Add 1181.6257 and -3538.957.
-2357.3313
Subtract -0.07 from 3871.03723268.
3871.10723268
What is -82353246.0399 less than -1?
82353245.0399
Calculate 14264114 - 29928.
14234186
What is the difference between 166225 and -324037?
490262
Put together -5160996876 and -27579.
-5161024455
-297708117 - -683864
-297024253
What is -2895495 - -28642?
-2866853
What is the difference between -2729317 and 715829.89?
3445146.89
Work out 97414.38 + -2497.
94917.38
What is 440228.317144 plus 9.34?
440237.657144
Work out -794 - 1.76858379.
-795.76858379
Calculate 0.129815319124 + 4.
4.129815319124
What is 32319 minus 0.09217477?
32318.90782523
What is -0.11765848 + -4470?
-4470.11765848
Total of -53612401 and 4.377193.
-53612396.622807
Sum 394132 and 0.1215779.
394132.1215779
What is -182.2522155315 - 0.8?
-183.0522155315
-838814.9+-0.9535929
-838815.8535929
Work out -1780690 + 2.55076927.
-1780687.44923073
What is 208361.498 - 105366.7?
102994.798
What is the difference between -2305 and -4711858001?
4711855696
Total of -889880254346 and 2.3.
-889880254343.7
-0.2307598155+129392
129391.7692401845
What is -246323787578 + -811?
-246323788389
Calculate -11479315182493 - -23.
-11479315182470
Add 38759680 and -1.13823.
38759678.86177
Calculate -1.2 - -975790141975.
975790141973.8
Calculate 799 - 19879039244.
-19879038445
Add together -347947.31 and 0.77786.
-347946.53214
14.526382 + 0.18832169
14.71470369
697+-77189728
-77189031
What is -2079100853 - -2.01?
-2079100850.99
What is 516309.3564 minus 3321?
512988.3564
What is -33344.12 - -1.692549?
-33342.427451
What is 1713616 + -18756132?
-17042516
Sum -1464419801006 and 2.
-1464419801004
Sum 5.1905 and 2.8477253.
8.0382253
Sum -0.467378431366 and 0.3.
-0.167378431366
Calculate 0.4 + -1.0408257212.
-0.6408257212
Add -13111 and -0.3550177.
-13111.3550177
Calculate 7.2 - -879.796353.
886.996353
What is 142 plus -822.509201561?
-680.509201561
-39.69+198126813.6
198126773.91
What is the difference between -2.3617721 and 787252?
787254.3617721
Put together 203385429090 and -3.
203385429087
Calculate -2 - -0.1949552605422.
-1.8050447394578
Calculate -22125324454 - 0.025.
-22125324454.025
What is 0.6 minus -31533.835332?
31534.435332
Put together -1.8881 and 439.72914.
437.84104
Work out -13932255 + -108741.82.
-14040996.82
What is 0.5 plus -7783230576796?
-7783230576795.5
What is the difference between -511.3882811 and 2115?
2626.3882811
Total of 48.5 and -0.81184929717.
47.68815070283
Work out -0.1 - -198371859349406.
198371859349405.9
What is -21.316 - 4089496427?
-4089496448.316
What is 23 + -18696814227?
-18696814204
Work out 88040345962 - -49.
88040346011
Add together -43121.183691 and -3.
-43124.183691
What is -0.5 minus 26904437.7966552?
-26904438.2966552
Add -56708.793068 and 0.5.
-56708.293068
Put together -0.1 and 1962219892461.
1962219892460.9
What is 1422918910 plus 0.35?
1422918910.35
What is -1623 - 2269317655?
-2269319278
-5056131.1 - 18111
-5074242.1
Add together -666.46245 and -2.988147.
-669.450597
Work out 37650570517.5 - -0.2.
37650570517.7
Calculate -0.1 + 5201075287686.
5201075287685.9
What is 13524379.41324 - 0.4?
13524379.01324
-177857036600+-6.3
-177857036606.3
Subtract -0.1 from 130928002.9297022.
130928003.0297022
5559282189903 + -0.3
5559282189902.7
Total of -487.593100155 and 10.
-477.593100155
What is -4.6328 + 296123956?
296123951.3672
Calculate -15295.5846402285 + 1.
-15294.5846402285
Sum -1697769524.77 and 0.6.
-1697769524.17
What is 339440.769678 plus 2?
339442.769678
0.12993 - -3110537202
3110537202.12993
Work out -3363495584680.27 - 4.
-3363495584684.27
What is 121483758983 less than 0.2?
-121483758982.8
0.132+-8298434.232
-8298434.1
Work out -258634306562 - -3.
-258634306559
Sum -729705.1921 and 217.
-729488.1921
Add together -1151596231 and -139.
-1151596370
What is 19.273422 minus -681.68?
700.953422
Work out 2160347881 + -0.73081.
2160347880.26919
Add together 1017780 and 1270477.
2288257
Total of 132622238544 and -0.35.
132622238543.65
Calculate -10644955206 + 0.03455.
-10644955205.96545
Work out 705529332 + -2518.
705526814
-21 - 817725.44971
-817746.44971
Total of 0.07 and 4350019.2721.
4350019.3421
What is 4 + 24928935213.325?
24928935217.325
What is 1321.32 - -1172898?
1174219.32
111+-44723630.5844
-44723519.5844
Subtract -84.9 from -3534666338.
-3534666253.1
What is -269996891 + -51176?
-270048067
What is -4338626 - -817528?
-3521098
Calculate -82 - 11785676089.
-11785676171
Work out 3.8302 + 2493.67053.
2497.50073
Calculate 466323.338 + 338219.
804542.338
26257+-893126908
-893100651
What is the distance between -6646.60398 and 14.3?
6660.90398
What is -8228 minus -2943314664?
2943306436
What is the difference between 0.32 and 4920332053?
4920332052.68
What is the distance between 0.135 and -19.6973370905?
19.8323370905
-0.06+0.18592472035658
0.12592472035658
-0.5 + -2255.352334
-2255.852334
Add together -3 and 34.30515331.
31.30515331
Add -89998.87 and 15650337.
15560338.13
Sum -638519 and -0.0558898.
-638519.0558898
Work out 1256534 - 239.43171.
1256294.56829
Calculate -207724 - -0.0051940516.
-207723.9948059484
Add 1.9 and -0.122976874818.
1.777023125182
What is -0.0163 minus 45323072?
-45323072.0163
What is -77983278630794.2 minus 5?
-77983278630799.2
What is 46685025.0233 take away -3?
46685028.0233
Total of -309121194809742 and -0.2.
-309121194809742.2
Put together -5 and -447.240283.
-452.240283
Sum 117 and 0.01407395965.
117.01407395965
-10.2 + -2385936849
-2385936859.2
What is the difference between -0.199082973924 and -848?
847.800917026076
Total of -11673693 and -241210.
-11914903
Calculate -199.56 - 13911839.88.
-13912039.44
What is 3634191.9 minus -1535.1?
3635727
What is 348411550 minus 942?
348410608
What is -7898175349 take away -9?
-7898175340
What is the distance between 0.470244 and 3950332?
3950331.529756
-1405195054021+-322
-1405195054343
What is -18790 take away 444335.04?
-463125.04
-37184.15 + 0.3477491
-37183.8022509
What is 100913202 plus 14.761?
100913216.761
Calculate -6900378 - 7072.
-6907450
-2.32273549 - 0.825
-3.14773549
14.828 - 5781143581
-5781143566.172
What is -0.5 - 2786.60551274833?
-2787.10551274833
What is the difference between -0.97 and 278475.9602?
278476.9302
Calculate -0.0700105 + -15856190.
-15856190.0700105
-74075991+-148.5
-74076139.5
Sum -2392701167630 and 0.1.
-2392701167629.9
Calculate -0.1 - -1281050749716.
1281050749715.9
What is the difference between 412562 and 3747484?
3334922
What is -4444.33356 + -16?
-4460.33356
What is -1483354 plus -39709.7?
-1523063.7
Total of 153 and -5.407397114462.
147.592602885538
|
{
"pile_set_name": "DM Mathematics"
}
|
in the form n + k*j and give n.
868
Rearrange 1513*z + 1506*z - 2942*z to s + l*z and give l.
77
Rearrange 2*w**2 - w**4 + 2*w + 8 + 4*w - 4*w + 2*w**3 - 4*w**3 to i*w**3 + q*w**4 + u*w**2 + d*w + x and give u.
2
Rearrange -146*w**2 - 3*w - 1 + 125*w**2 + 3*w to the form j*w**2 + v*w + y and give y.
-1
Rearrange 3*a**2 + 468 + a - 4*a - 465 + a to r + w*a + c*a**2 and give w.
-2
Rearrange (1 - 2 + 2)*(-r + r - 2*r**2)*(4 + 1 - 6) to j*r**2 + k*r + i and give j.
2
Rearrange -15*v**2 + 168*v**2 + 255*v**2 to the form k*v + n + q*v**2 and give q.
408
Rearrange (0 - 2 + 0)*(63*c + 10*c + 27*c)*(-3*c + 0*c - 9*c) to the form h*c + k*c**2 + d and give d.
0
Express (5*u + 3612 - 2431 - 2*u)*(-u - 3*u + 6*u) in the form m + a*u + f*u**2 and give a.
2362
Rearrange (-381 - 38*o + 381)*(-105 - 6*o**3 - 4*o**3 + 99) to the form h*o**4 + r + a*o**2 + x*o + q*o**3 and give x.
228
Rearrange (-2 + 6*o + 4 - 4*o)*(27 + 100 + 32) to the form i + f*o and give f.
318
Rearrange 60*x**3 + 3*x + 55*x**3 + 51*x**3 - 164*x**3 - 20 to the form t*x**3 + c*x**2 + l + o*x and give o.
3
Express (-3*x - 3*x + 5*x)*(9 - 16 - 10)*(-9 - 8 + 5)*(0*x + 0*x - 3*x) in the form d + f*x + s*x**2 and give s.
612
Rearrange (-25*b + 25*b + 13*b**3)*(-4 + 4 + 2) + (14*b**2 - 9*b**2 + 4*b**2)*(0 + b + 0) to the form x*b**2 + w + h*b + q*b**3 and give w.
0
Rearrange (h**2 - 10*h**2 + 3*h**2)*(-2*h + 0 + 0 + 30*h + 18 - 18 + (-2 - 1 + 1)*(-3*h + 0*h + 4*h)) to j*h**2 + u + s*h + g*h**3 and give g.
-156
Express 13*r**2 - 8*r**2 - 2 - 42*r**2 - r**2 - 36*r**2 as g*r**2 + l + w*r and give l.
-2
Express -206*s**2 - 24 + 207*s**2 + 133 as g + o*s + c*s**2 and give g.
109
Express 40*r**2 + 3*r**3 - 40*r**2 + 2*r**3 + 7*r - 36*r**3 + 2 as j*r**3 + h + k*r**2 + c*r and give c.
7
Rearrange -s**2 + s**2 - s**4 + (-s + 3*s - 9*s)*(-s + 2*s**3 + s) to the form g*s**4 + j*s**3 + x*s + d*s**2 + q and give g.
-15
Express 275*k + 165*k - 250*k as p + f*k and give f.
190
Express (34*o - 202*o + 73 + 71 - 140)*(-o + o + 2*o**3) in the form a*o**3 + k*o**2 + p*o**4 + t + d*o and give a.
8
Express 22 - 3062*z + 40 + 3055*z - 12 in the form b*z + f and give b.
-7
Rearrange 1179*v**2 - 725 - 570*v**2 + 778*v**2 + 725 to the form w*v + f*v**2 + s and give f.
1387
Express -165*r - 96*r - 160*r + (-3 + 2 + 0)*(5*r - r - r) as n + m*r and give m.
-424
Rearrange (-3*l + 5*l - 3*l)*(214 + 180 - 334)*(2*l + l - 2*l)*(4*l - 2*l - 4*l) to f*l**2 + u + b*l**3 + v*l and give b.
120
Express 3 - 1 - 1 + 32*g**4 + 6*g**4 - 3*g**4 - 2*g**4 + (-3 + g + 3)*(-4*g + 4*g + 2*g**3) in the form a + q*g**4 + n*g + b*g**2 + p*g**3 and give a.
1
Rearrange 11*r**4 - 12*r**4 - 20 + 22 - 44*r to the form d*r**4 + p*r**2 + l + g*r**3 + j*r and give d.
-1
Express (111*m**2 + 3833*m - 3833*m)*(-4*m**2 + 9*m**2 - 2*m**2) as i + r*m + j*m**4 + b*m**2 + g*m**3 and give j.
333
Rearrange (-2 + 0 + 6)*(17 + 25 + 14)*(2*k - 3*k + 0*k)*(4*k - 3*k - 4*k + (0*k - k + 0*k)*(5 - 5 + 1)) to the form z*k**2 + q*k + h and give z.
896
Rearrange (1358 - 34*s**4 - 1358)*(-1 + 3 + 1) to m*s**4 + v*s**3 + n*s**2 + j + q*s and give m.
-102
Rearrange 4*o**4 - 2*o + 67*o**3 - 69*o**3 - 3*o**2 + 4 + 0*o**4 - 6*o**4 to k + r*o + b*o**3 + a*o**2 + u*o**4 and give r.
-2
Rearrange -4*a + 0*a + 2*a + (-3*a + 2 - 2)*(2 - 6 + 3) + 2*a - 5 + 5 - 2 + 2 + a - 2*a - 7 + 7 to m*a + f and give m.
2
Rearrange 101*o + o**2 + 20 - 41 + 19 - 23*o to the form a*o + g*o**2 + l and give g.
1
Express -2*o**2 - 301*o + 0 - 2 + 317*o as f*o**2 + v + b*o and give b.
16
Express s**2 + 21 - 11 + s**2 + 0*s**2 - 2*s + 2*s**2 as q*s**2 + c + p*s and give p.
-2
Express -6*g**2 - 15*g**3 + 6*g**2 + 22*g**3 - 7*g**2 in the form z*g + l*g**3 + m + b*g**2 and give b.
-7
Rearrange (0 + 0 - 2*x)*(-1 - 1 + 4) - 9*x - 4*x + 2*x - 197 + 197 - 19*x to the form y*x + d and give y.
-34
Rearrange (-2 + 4 - 3 - 39 + 83 - 45 + (4 - 5 + 3)*(-1 - 3 + 3) + 1 + 2 + 0)*(-5*a**3 + 3*a**3 + a**3) to d + b*a**3 + v*a + y*a**2 and give b.
1
Rearrange (2*p**3 + p**3 - 5*p**3)*(-188 + 82*p + 188) to the form n*p + l + b*p**3 + i*p**4 + g*p**2 and give i.
-164
Express -195*o**2 + 7 - 5 + o**4 - 1 - o**3 + 185*o**2 as q*o + j*o**2 + s*o**3 + r*o**4 + g and give g.
1
Express 23905 - 23905 - 1794*t**2 - 47*t**2 in the form i*t + q + o*t**2 and give o.
-1841
Rearrange -355*o**2 - 5593 + 5593 to the form s + v*o + y*o**2 and give y.
-355
Rearrange (-9 + 9 - 3*q)*(-q + 2*q - 2*q) - 14*q + 15*q - 51*q**2 + 47*q**2 to the form n + o*q**2 + x*q and give x.
1
Rearrange 3*w + 47*w + 7*w + 47*w to the form h + u*w and give u.
104
Express 8*v**2 + 7*v - 7*v + 6 + 3*v as n*v + j + l*v**2 and give n.
3
Rearrange (0 + 0 - 1)*(-5*u - 8*u - u + 2 + (-16 + 16 + 19*u)*(0 - 4 + 5)) to c*u + o and give c.
-5
Rearrange 134*z**2 + 1 - 246*z**2 - 105*z**2 to the form v*z + b + n*z**2 and give b.
1
Rearrange 8*j + 8080*j**2 - 8211*j**2 - 8*j to the form d*j + k + z*j**2 and give z.
-131
Rearrange (2 + r - 2)*(63 + 827 + 578) to v + u*r and give v.
0
Express -363*f - 94 + 94 in the form t*f + g and give t.
-363
Express -209*v**3 - 2*v**4 + 7*v + 206*v**3 - 7*v + 2*v**2 + 2 as u + n*v + f*v**2 + w*v**4 + y*v**3 and give u.
2
Rearrange -11*b**2 - 1312 + 1312 + 38*b**2 to l*b**2 + i*b + c and give l.
27
Rearrange 2 - b**2 - b**2 + 6*b + 3*b**2 + 3*b**2 - 7*b**2 - 3*b**2 + (b + 4*b - 3*b)*(-60 + 60 + 6*b) to g + u*b**2 + d*b and give g.
2
Express -2*n**2 + 6713*n**4 + 6*n**3 + 4*n**3 - 2*n - 6705*n**4 + 1 as q*n**4 + w + o*n**2 + t*n + l*n**3 and give w.
1
Rearrange -190 - 108 - 1906*q + 1908*q to the form i + x*q and give x.
2
Express -11 - 3*s - 4*s**2 + 13 - 2*s - 4 - 2*s**3 as j*s**3 + b*s + p + k*s**2 and give b.
-5
Rearrange v**3 - 2655*v**2 + 5322*v**2 - 2636*v**2 - 4 + v to the form u*v**2 + a + f*v**3 + t*v and give a.
-4
Rearrange -2 - 14966*k**2 + 14965*k**2 - 23*k**3 - 130*k**3 to y*k**3 + m + b*k + q*k**2 and give m.
-2
Rearrange 2*p**3 + 4*p**2 + 611*p**4 - 5*p**2 + 8*p - 612*p**4 + 0*p**2 to the form k*p**4 + s*p + q*p**3 + r*p**2 + f and give r.
-1
Rearrange (-153*f**2 + 4368*f - 4368*f)*(4 - 2 + 0 + 2*f**2) to g*f**4 + n + q*f**2 + r*f**3 + m*f and give g.
-306
Rearrange 6 - 22 + 6 + 8 - 11*r to b + g*r and give b.
-2
Rearrange (2*k**2 + 8 + 4*k - 4*k)*(1 + 7 - 2) to n*k + x*k**2 + a and give x.
12
Rearrange -3*o**2 - 4*o**2 + 9*o**2 + 10*o to x*o + j*o**2 + g and give x.
10
Rearrange -10 - 1263*x + 9 - 5*x**2 + 1289*x to the form i*x + w + m*x**2 and give m.
-5
Express -13*h - h**2 + 18*h - 9*h in the form l + p*h + z*h**2 and give p.
-4
Rearrange -6 - 20*p**2 + 88*p**2 - 31*p**2 - 24*p**2 to the form t + n*p + o*p**2 and give o.
13
Rearrange (f - 4 + 1 + f)*(0*f + 4*f + 8*f + (-f + 6*f - 3*f)*(6 - 3 - 2))*(1 + 4 - 6) to a*f**2 + n + q*f and give n.
0
Rearrange -174*b**2 - 960*b + 960*b to t*b + u*b**2 + g and give u.
-174
Rearrange (1161 + 1470 - 3128)*(-2*h + 2*h + 3*h) to the form w*h + i and give i.
0
Rearrange (-4*j - 237 - 241 + 497)*(5 - 1 + 16) to z + x*j and give z.
380
Express 16582 - 16567 - 5*q**2 + 18*q**2 as m + c*q + g*q**2 and give g.
13
Rearrange 4354*m - 1 - 3477*m + 1 to the form j*m + a and give j.
877
Express -14794*f**4 + 2*f + 14795*f**4 + f**2 - 7 - 4*f in the form a + w*f + l*f**3 + h*f**4 + i*f**2 and give a.
-7
Rearrange -2 - 7 + 8*h**2 + 2*h**4 + 0*h**4 - 13 + 36 to y*h**3 + b*h + q + a*h**4 + k*h**2 and give q.
14
Rearrange 47*s - 51*s - 13 + 13 to u*s + j and give u.
-4
Express -j + 3*j + 0*j + (-4 + 4 - j)*(6 + 0 - 2) + (2*j - 3*j + 2*j)*(4 - 7 - 3) + 2*j + 2*j - 14*j as z*j + y and give z.
-18
Express -10 + 4 + 5 - 6 + 43*m in the form a + j*m and give j.
43
Rearrange 5*a - 18*a - 10*a - 24*a - 17*a to the form w + s*a and give s.
-64
Express 3*h + 24*h**2 + h**2 + 10*h**2 + 3*h**2 in the form x*h + y*h**2 + q and give x.
3
Rearrange (-58 - 86 + 40)*(2 + o - 2) - 2*o + 0*o - 3*o to k*o + f and give k.
-109
Rearrange (-6*i**2 + 4*i**2 + 4*i**2)*(-6*i + 8*i + 5*i) + 2*i**3 - 2 - i**3 - 22 to the form w + m*i**3 + l*i**2 + o*i and give m.
15
Rearrange 0*t + 2*t + 27 - 26 + 13*t to c*t + u and give u.
1
Express 89*h + 8 + 57*h - 7 in the form w + v*h and give v.
146
Rearrange -92 + 38*z**2 + 7*z**2 + 89 to u*z**2 + f*z + p and give p.
-3
Express (1 - 5 + 0)*(-89*m - 43*m - 74*m) in the form o*m + a a
|
{
"pile_set_name": "DM Mathematics"
}
|
mon factor of 39015 and 9?
9
Calculate the highest common factor of 1967 and 287.
7
What is the highest common divisor of 119 and 34?
17
What is the highest common factor of 4959 and 513?
171
Calculate the highest common divisor of 8 and 688.
8
Calculate the greatest common factor of 194 and 2425.
97
What is the highest common divisor of 1056 and 33?
33
What is the greatest common factor of 29 and 899?
29
Calculate the greatest common divisor of 37 and 1184.
37
What is the greatest common divisor of 14061 and 215?
43
What is the highest common divisor of 539 and 3465?
77
Calculate the greatest common divisor of 2937 and 44.
11
Calculate the greatest common divisor of 69 and 4416.
69
Calculate the greatest common divisor of 1121 and 413.
59
Calculate the greatest common divisor of 3948 and 224.
28
Calculate the highest common factor of 5 and 16.
1
What is the greatest common factor of 2592 and 60?
12
What is the greatest common factor of 21580 and 40?
20
What is the greatest common factor of 12 and 444?
12
What is the highest common divisor of 1246 and 126?
14
What is the greatest common factor of 35 and 119?
7
What is the highest common divisor of 2173 and 41?
41
Calculate the highest common factor of 888 and 3.
3
Calculate the highest common divisor of 175 and 1995.
35
Calculate the greatest common factor of 69 and 69.
69
Calculate the highest common divisor of 650 and 104.
26
What is the greatest common factor of 105 and 2373?
21
What is the greatest common factor of 4 and 38?
2
What is the highest common factor of 6 and 258?
6
What is the highest common divisor of 369 and 36?
9
Calculate the greatest common factor of 522 and 8700.
174
What is the greatest common divisor of 612 and 1887?
51
Calculate the highest common factor of 424 and 10282.
106
Calculate the greatest common factor of 3585 and 30.
15
Calculate the highest common factor of 9468 and 108.
36
Calculate the highest common divisor of 15 and 375.
15
Calculate the greatest common factor of 1518 and 11.
11
What is the highest common divisor of 475 and 76?
19
Calculate the highest common divisor of 5 and 355.
5
What is the greatest common factor of 30286 and 38?
38
What is the greatest common divisor of 2585 and 22?
11
Calculate the greatest common divisor of 6235 and 145.
145
Calculate the highest common divisor of 3611 and 314.
157
What is the highest common divisor of 2163 and 63?
21
What is the highest common divisor of 198 and 31086?
198
Calculate the highest common factor of 3133 and 1928.
241
Calculate the greatest common factor of 205 and 10.
5
Calculate the highest common factor of 70 and 230.
10
Calculate the greatest common divisor of 56 and 13538.
14
Calculate the highest common divisor of 19 and 1159.
19
Calculate the greatest common factor of 1342 and 22.
22
What is the greatest common factor of 850 and 10?
10
What is the greatest common factor of 330 and 3540?
30
What is the highest common factor of 107 and 33?
1
What is the highest common factor of 5384 and 8?
8
What is the greatest common factor of 49 and 119?
7
Calculate the highest common factor of 74 and 8695.
37
Calculate the highest common factor of 3317 and 856.
107
What is the greatest common divisor of 200 and 675?
25
Calculate the greatest common factor of 84 and 2472.
12
What is the greatest common divisor of 335 and 536?
67
What is the highest common divisor of 53 and 848?
53
Calculate the greatest common divisor of 949 and 104.
13
What is the highest common divisor of 6 and 162?
6
What is the highest common divisor of 851 and 23?
23
What is the highest common factor of 1491 and 568?
71
Calculate the greatest common divisor of 10 and 38.
2
Calculate the greatest common factor of 9506 and 294.
98
Calculate the highest common divisor of 135 and 864.
27
What is the highest common factor of 1806 and 280?
14
What is the greatest common divisor of 1054 and 1736?
62
Calculate the greatest common factor of 825 and 1275.
75
Calculate the greatest common divisor of 1254 and 5874.
66
Calculate the greatest common divisor of 236 and 44840.
236
Calculate the highest common divisor of 387 and 43.
43
What is the greatest common factor of 882 and 18?
18
What is the highest common divisor of 13431 and 444?
111
Calculate the highest common divisor of 1 and 76.
1
Calculate the greatest common divisor of 693 and 1881.
99
What is the highest common divisor of 1150 and 50?
50
What is the greatest common divisor of 80 and 1040?
80
What is the greatest common divisor of 1530 and 30?
30
What is the highest common factor of 64 and 118?
2
What is the highest common factor of 86 and 52?
2
Calculate the greatest common divisor of 5681 and 736.
23
What is the highest common factor of 80 and 15?
5
What is the greatest common divisor of 63 and 7?
7
What is the highest common divisor of 697 and 51?
17
Calculate the highest common divisor of 68 and 340.
68
Calculate the greatest common divisor of 847 and 484.
121
What is the greatest common factor of 74 and 1369?
37
Calculate the greatest common factor of 741 and 114.
57
Calculate the highest common factor of 60 and 675.
15
What is the highest common factor of 256 and 76?
4
What is the greatest common factor of 767 and 5?
1
What is the greatest common divisor of 2173 and 82?
41
What is the greatest common divisor of 780 and 90?
30
What is the highest common divisor of 248 and 62?
62
Calculate the highest common factor of 57 and 6327.
57
What is the greatest common factor of 472 and 16?
8
What is the highest common divisor of 480 and 15?
15
Calculate the greatest common factor of 20 and 890.
10
Calculate the greatest common factor of 2532 and 12.
12
Calculate the highest common factor of 4558 and 106.
106
What is the greatest common divisor of 208 and 26?
26
What is the highest common factor of 195 and 10?
5
What is the highest common divisor of 75 and 475?
25
What is the greatest common factor of 459 and 187?
17
What is the highest common factor of 52 and 364?
52
What is the highest common factor of 42 and 78?
6
What is the highest common factor of 36 and 270?
18
What is the highest common divisor of 118 and 8?
2
Calculate the greatest common factor of 31 and 124.
31
What is the highest common factor of 100 and 160?
20
What is the highest common factor of 10 and 335?
5
What is the greatest common factor of 117 and 429?
39
Calculate the highest common factor of 33 and 3971.
11
Calculate the greatest common factor of 37 and 5143.
37
Calculate the greatest common divisor of 11395 and 1720.
215
What is the highest common factor of 2778 and 3?
3
What is the greatest common divisor of 3150 and 9?
9
Calculate the greatest common factor of 26 and 1560.
26
Calculate the greatest common factor of 528 and 1284.
12
What is the highest common divisor of 623 and 7?
7
What is the greatest common factor of 55 and 1045?
55
What is the greatest common divisor of 64 and 236?
4
What is the highest common factor of 17 and 7429?
17
Calculate the greatest common factor of 1275 and 5.
5
Calculate the greatest common divisor of 91 and 117.
13
What is the greatest common divisor of 152 and 95?
19
Calculate the greatest common divisor of 6340 and 30.
10
What is the highest common divisor of 128 and 20?
4
What is the greatest common divisor of 60 and 2148?
12
Calculate the greatest common divisor of 42 and 7581.
21
What is the highest common divisor of 135 and 15?
15
What is the highest common divisor of 4 and 184?
4
Calculate the highest common factor of 1088 and 48.
16
Calculate the greatest common divisor of 22 and 11.
11
What is the highest common factor of 4617 and 19?
19
What is the highest common divisor of 8090 and 20?
10
Calculate the highest common factor of 12 and 1392.
12
What is the highest common factor of 2185 and 115?
115
Calculate the greatest common divisor of 10479 and 21.
21
What is the greatest common divisor of 4 and 3356?
4
What is the greatest common divisor of 98 and 518?
14
Calculate the greatest common factor of 1 and 409.
1
What is the highest common factor of 658 and 42?
14
What is the highest common factor of 6620 and 12?
4
What is the greatest common divisor of 403 and 52?
13
Calculate the greatest common divisor of 224 and 266.
14
Calculate the highest common divisor of 990 and 4
|
{
"pile_set_name": "DM Mathematics"
}
|
= 5*z + 26, 2*z + 0*p = -3*p - 13. Sort q, h, z in increasing order.
z, h, q
Let c(l) = l**3 + 5*l**2 + 6*l + 3. Let m be c(-2). Put -81, -2, m in increasing order.
-81, -2, m
Suppose 0 = 2002*p - 2007*p + 10. Sort -12, 5, p, -1 in ascending order.
-12, -1, p, 5
Let s = -17 - -20. Suppose s*t - 3*w = 4*t - 17, -5*t = 5*w - 45. Suppose 0 = 7*o - 5*o - 2. Sort o, 0, t in decreasing order.
t, o, 0
Let r = -17 - -16. Let d be -5 + 2*(-6)/(-4). Put 10, r, d, -4 in decreasing order.
10, r, d, -4
Let c = -88.85 + 90. Let l = -0.85 + c. Sort l, 11, 4 in descending order.
11, 4, l
Suppose 0 = 3*j - 4*j - 4*s - 9, j - 11 = s. Suppose j*p = -44 + 51. Let r be 5*(2 + (-3)/1). Sort p, r, 2 in increasing order.
r, p, 2
Let z = -1.2 + 51.2. Let p = z - 48. Let f be 2/(-12) - (-6)/9. Put p, f, 1/4 in descending order.
p, f, 1/4
Let w = -2 - -2.5. Suppose -3*d = 12, 5*k + d + 1 = -13. Sort w, k, -1, -1/4.
k, -1, -1/4, w
Let z = -166 - -145. Put z, 2, 1, -5 in increasing order.
z, -5, 1, 2
Let y = 57.9 - -4.1. Let m = -61.8 + y. Sort 3, 0, m in decreasing order.
3, m, 0
Suppose -5*q = -2*p - 69, -4*q + 11 - 57 = 3*p. Put -0.4, p, 0.2 in descending order.
0.2, -0.4, p
Let j be ((-216)/84)/((-6)/(-28)). Sort 0.1, j, 5 in increasing order.
j, 0.1, 5
Let z = 9 + -5. Let o = -0.06842 + -0.19158. Sort o, z, -0.2 in descending order.
z, -0.2, o
Let f(s) = s**2 + 6*s - 4. Let z = 0 - -7. Suppose a - n = -z, -8 = 2*a + 2*n + 6. Let w be f(a). Sort -1, 4, w in ascending order.
-1, w, 4
Let v = 18 + -12. Let w(t) = -6*t + 32. Let b be w(v). Sort 3, b, -0.7, 5.
b, -0.7, 3, 5
Let h(n) = 16*n. Let f(o) = -32*o. Let u(j) = 3*f(j) + 5*h(j). Let m be u(-2). Let c be -1 - 0 - (-36)/m. Sort -4/9, c, -0.2 in descending order.
c, -0.2, -4/9
Let u be 24 + -21 + (22/(-18) - 2). Put -4, 5, 0.2, u in descending order.
5, 0.2, u, -4
Let k be 14/(-78) - 16/104. Let w = -2.67 + -55.83. Let u = -58 - w. Sort k, u, 2/3 in ascending order.
k, u, 2/3
Let w = -225.51 + 231. Let j = -0.49 + w. Let o = -3.4 - 0.6. Put j, 0.4, o in decreasing order.
j, 0.4, o
Let d be 12/10*3/6*5. Suppose -t - d - 1 = 0. Sort t, -9, 4, -1.
-9, t, -1, 4
Let p = -4.5 + 4. Let i = 32 - 35. Sort -1/4, p, i, 0.1 in descending order.
0.1, -1/4, p, i
Let g(i) = -i**2 + 1 + 6 - 5*i - 13 + 2. Let j be g(-5). Suppose 0 = -4*d - 4 - 8. Sort j, d, -1 in decreasing order.
-1, d, j
Let g = -3 - -1. Suppose -8*x + 34 = 9*x. Sort 0.2, g, x, 0 in ascending order.
g, 0, 0.2, x
Let h = 855 + -862.02. Let l = h - -0.02. Sort -0.3, -0.4, l, 2.
l, -0.4, -0.3, 2
Suppose 5 = m + 2. Suppose 7*z - 6*z = -m. Suppose 3 = j - 6. Put z, j, 3 in ascending order.
z, 3, j
Suppose 5*a = 4*h + 17, 29 = 9*a - 4*a + 2*h. Put a, -0.21, 1/4, -5 in increasing order.
-5, -0.21, 1/4, a
Let t = -131 + 521/4. Let x = -1676 - -8378/5. Sort x, -0.5, t in increasing order.
t, -0.5, x
Let m be 0/(-3*4/12). Let l(r) = r**3 + 5*r**2 - 8*r - 7. Let j be l(-6). Suppose 4*c - f = -26, j*c - 3*f + 28 = -4*f. Put c, 4, m in descending order.
4, m, c
Suppose -5 = v + z - 13, 0 = v - 2*z + 1. Sort -227, v, 1 in decreasing order.
v, 1, -227
Let m = 8.6 + -5.6. Put m, 2/7, -2/3, 2 in increasing order.
-2/3, 2/7, 2, m
Let d = 1124 + -1124.4. Sort 5, -0.2, d in descending order.
5, -0.2, d
Suppose 7*k - 4*k + 36 = 0. Let d be -13 - k - (-4)/7. Put 0.4, d, -1/9 in increasing order.
d, -1/9, 0.4
Suppose 4*z - 9 = -g - 26, g + 5*z + 21 = 0. Let q be 2 + g - 10/30. Put q, -5, -1, 5 in increasing order.
-5, -1, q, 5
Suppose 3*m + 2*f - 10 = -2*m, -m - f - 1 = 0. Suppose m*o + 58 - 10 = 0. Let x = o + 15. Sort 2, 4, x in decreasing order.
4, x, 2
Let v = -0.024 + -0.476. Let o = 0.19 - -0.31. Put o, v, 3, -4 in decreasing order.
3, o, v, -4
Let k = 11 - 9. Suppose 3*y + 4 - 19 = 0. Put k, y, 0 in decreasing order.
y, k, 0
Let l = 0.36544 - -0.13456. Let f = 2 - -1. Put 23, 5, f, l in descending order.
23, 5, f, l
Suppose -5*l - 4 = 1. Let q be -2 - -25 - (l - 0). Suppose i = x - 4*i + q, x - i + 4 = 0. Put x, -3, -4 in decreasing order.
x, -3, -4
Let y = 1486 + -1498. Sort y, -5, -1, 1 in decreasing order.
1, -1, -5, y
Let n = -76.39 - -76. Let x = 0.19 + n. Let u = 1 + 1. Sort -1, u, x in ascending order.
-1, x, u
Let i(u) = -u**2 - 19. Let g be i(0). Let o = 21 + g. Suppose 0*q - o = q. Sort 12, q, -3.
-3, q, 12
Let b = -60 + 48.6. Let q = -11 - b. Put q, -19/2, -0.1 in decreasing order.
q, -0.1, -19/2
Let v = -311 - -1561/5. Let r(m) be the second derivative of m**4/6 + 7*m**3/6 - 6*m**2 - 29*m. Let b be r(-5). Put b, -0.01, v in increasing order.
-0.01, v, b
Let f = 35/1184 - -1393527/41440. Let h = f + -230/7. Let n = 49/4 + -437/36. Sort h, 2, n in increasing order.
n, h, 2
Let g(w) = 1. Let h(b) = b - 3. Let f(k) = 5*g(k) + 3*h(k). Let m be f(3). Let j = -22 - -23. Put -4, m, j in increasing order.
-4, j, m
Suppose -5*b + 8*b = 0. Suppose 13*p + 12 + 14 = b. Put -1, 2, p in decreasing order.
2, -1, p
Let j = -29 - -31. Let v = 215 - 209. Put j, -1, v in increasing order.
-1, j, v
Suppose 4*c = -4, 34*x + 5*c + 13 = 33*x. Put -7, x, -4 in decreasing order.
-4, -7, x
Let y = -83.3 - -82.9. Suppose -2*f + 0*f = 2. Sort y, 0, f.
f, y, 0
Let p = 3.2 + -3. Let n = 218 + -206. Put p, n, 2/7 in descending order.
n, 2/7, p
Let a(f) = -10*f + 562. Let n be a(57). Sort n, 3, -4 in decreasing order.
3, -4, n
Let m be 22/((25/(-10))/(-5)). Let g = 46 - m. Put 1, 0, g in ascending order.
0, 1, g
Suppose 3*v - a - 11 = 6, -4*v + 31 = -3*a. Suppose -v + 7 = f. Suppose 4*x = 4*k - 12, -7*k = -2*k + 3*x + 1. Put -3, k, f in descending order.
f, k, -3
Suppose 0 = 2*x + 10*h - 6*h + 88, 5*h + 130 = -3*x. Sort 0, x, -3, 4 in ascending order.
x, -3, 0, 4
Let n = -58 + 60.8. Let v = -3 + n. Put 0.3, -6/7, v in ascending order.
-6/7, v, 0.3
Suppose -5*s = 6 - 31. Suppose 0 = -4*k + 3*q + s, 4*q + 1 = -4*k - 15. Sort 1, -0.05, k in descending order.
1, -0.05, k
Let g = 0.33 - 0.03. Suppose n + 1 = 0, -5*l - 5*n = -7 + 2. Suppose -x = 5*t - 17, 4*t - l = 5*x - 0*t. Put g, x, -1 in decreasing order.
x, g, -1
Let a = -0.042 - -8.542. Let u = a - 13.5. Let g = -1 - -0.6. Sort 0, u, g.
u, g, 0
Suppose -2*b + 8 = 0, -t - 5*b + 14 = 2*t. Put t, 7, 6 in descending order.
7, 6, t
Suppose 2*l = 5*o - o - 24, -2*l = -3*o + 19. Sort o, -2, 0, -3 in descending order.
o, 0, -2, -3
Let s(d) = -3*d**3 + 4 + 3*d**3 + 3*d + d**3 - 5*d**2. Let u be s(3). Suppose 0 = v - 5 + 3. Sort 3, v, u.
u, v, 3
Let w = -17 + 20. Suppose 10*f - 11*f = -w. Suppose 0 = f*x - 0*x + 3. Put x, 2, 3 in ascending order.
x, 2, 3
Let v be (-12)/(-28) - -1 - 1. Let i be -19 - -23 - (2 + 4/2). Put i, -0.4, v, 6 in decreasing order.
6, v, i, -0.4
Let l = 8594/77 + -780/7. Sort l, 1/16, 5/11 in decreasing order.
5/11, l, 1/16
Let t = 96 + -95. Sort -0.1, t, -0.4, 2 in descending order.
2, t, -0.1, -0.4
Let c(a) = -a**2 + 13*a - 36. Let t be c(7). Sort -2, -1, 5, t.
-2, -1, 5, t
Let o = 3370 + -3372. Suppose -4*x = 3*k + 3, -2*x - 2*k + 1 = 3. Put -5, 4, o, x in increasing order.
-5, o, x, 4
Let k = 715 + -720. Sort k, 4, 6, 0.2 in decreasing order.
6, 4, 0.2, k
Suppose 8*p = 3*p. Suppose -5*r = -2*c + 35, -r + p*c = c. Sort r, -2, 1 in increasing order.
r, -2, 1
Suppose -195 = 10*w + 5. Sort -1, w, 0.
w, -1, 0
Let s = 3 - -2. Suppose -15 - 15 = -s*v. Suppose -j - 2 = w, 0 = -3*j + w + 8 + v. Put j, -4, -1 in increasing order.
-4, -1, j
Suppose -d + 6 = 3*m, 5*d + 0*d + 21 = 2*m. Let g be (-66)/(-14) - 4/(-14). Sort g, m, 4.
m, 4, g
Let k = 28 - 25. Let u be 2/(-3) - 32/(-12). Suppose -21 = u*a + 5*r, 3*a + 2*r + 15 = -0*a. Sort a, k, 2 in descending order.
k, 2, a
Let p(t) = -t**3 - 6*t**2 + 7*t. Let w be p(-7). Suppose -v - 4*v = w. Suppose -3 = -4*u - 11. Sort 2, v, u in increasing order.
u, v, 2
Let v = 2 + -3. Suppose 3*t + 797 - 812 = 0. Put v, 11, t in descending order.
11, t, v
Let g be -4 + (3 - -7) + -4. Put g, -2, 9, 3 in ascending order.
-2, g, 3, 9
Let h(t) = t**3 - 6*t**2 + 8*t + 7. Let q be h(3). Sort -7, -4, q in decreasing order.
q, -4, -7
Let q = -108 - -106. Let t = -3 - -3. Suppose -3*m - 2*w - 5 + 1 = 0, -m - w = t. Put -1, m, q in descending order.
-1, q, m
Suppose -4*x = 2*s - 26, 5*x = -4*s + 51 - 11. Suppose -s*n - 65 = -15. Let g be 2*-1*(-15)/n. Sort -10, g, 0 in decreasing order.
0, g, -10
Let h = 1 - -3. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
in -0.04, 1/4, 1/9, -2/19?
-0.04
Which is the second smallest value? (a) 0.041 (b) -0.5 (c) 8 (d) 0.1
a
Which is the smallest value? (a) 0.1 (b) 1/2 (c) -3 (d) -0.02
c
Which is the third biggest value? (a) 5 (b) -13 (c) -4/5
b
What is the second smallest value in -6, 1/3, -0.2?
-0.2
What is the fourth biggest value in 2/27, -2, -2/3, -0.2?
-2
What is the fifth biggest value in -0.3, 2, -4, 311, 0.2?
-4
What is the fifth biggest value in -1/2, -0.1, -3, 50.6, -4?
-4
Which is the smallest value? (a) -2/7 (b) 10 (c) 0.3 (d) 1
a
What is the biggest value in 4, 2, 26?
26
What is the smallest value in -19, 20, 0.4, -5, 3?
-19
Which is the fourth biggest value? (a) 4 (b) -3 (c) -14 (d) 0.3
c
What is the smallest value in -1/3, -1, 3, -59?
-59
What is the smallest value in 2/9, -2/33, -1?
-1
Which is the fourth smallest value? (a) -1/4 (b) -104 (c) 2/3 (d) 1/6
c
Which is the third smallest value? (a) -0.19 (b) -1 (c) 4 (d) 0.5
d
What is the biggest value in 3, -0.04, 2/9, 7?
7
What is the second biggest value in 1/2, -90, 1/3, -2/5, 0.2?
1/3
What is the second biggest value in 0.1, -0.5, 3, -1/3?
0.1
What is the second smallest value in 2, 2/3, 3, -7?
2/3
Which is the smallest value? (a) -0.2 (b) 1/2 (c) -0.55 (d) -4/7 (e) 2/13
d
What is the fourth biggest value in 1/474, -5, -1, 1/8?
-5
Which is the smallest value? (a) 3/8 (b) -2 (c) -1/2 (d) 1/5
b
What is the biggest value in 1, -2/11, 0.048, -2?
1
What is the fourth biggest value in 0.5, 16, -0.3, -4?
-4
What is the third smallest value in 13.1, 0, 1?
13.1
Which is the biggest value? (a) 3/4 (b) 531 (c) -1
b
What is the smallest value in 3/8, -16, 2?
-16
Which is the third biggest value? (a) -0.5 (b) 3/5 (c) 3 (d) -14
a
Which is the second smallest value? (a) 207 (b) -3/5 (c) 0.058
c
What is the biggest value in -71, 1, 8?
8
What is the third smallest value in 3, -67/2, 5?
5
What is the second biggest value in 0.95, -5/4, -1/2, 5, 2/11?
0.95
Which is the smallest value? (a) -0.4 (b) 1/2 (c) 234 (d) -0.2
a
What is the fourth biggest value in 3, -4.7, 3/2, -5?
-5
Which is the biggest value? (a) 1 (b) -1/3 (c) 0.2
a
Which is the fourth biggest value? (a) -9 (b) -34/13 (c) 1 (d) 1/4
a
What is the third smallest value in -23, -1.2, 2/3, 5?
2/3
What is the third smallest value in -3/2, 2.19, 1/6, 1?
1
What is the second biggest value in -0.7, -2, 1?
-0.7
What is the biggest value in 0.5, 3/7, 220.5?
220.5
Which is the fourth biggest value? (a) 2/5 (b) 1/4 (c) 0.55 (d) -10
d
What is the second smallest value in -1, 15/44, -4, -3/5?
-1
Which is the second biggest value? (a) -0.06 (b) -2 (c) -1.6
c
Which is the third biggest value? (a) 0.6 (b) 0.3 (c) -0.12
c
Which is the second biggest value? (a) 2/9 (b) 307 (c) -1
a
Which is the fifth biggest value? (a) -2 (b) -4 (c) 0 (d) -0.1 (e) -10
e
Which is the fifth smallest value? (a) 0.176 (b) 0.4 (c) 0.01 (d) 5 (e) 1
d
What is the fourth smallest value in -0.2, -10/11, 6, 5, 0.3?
5
What is the second biggest value in 0.2, -2, -1, 1/62?
1/62
Which is the third smallest value? (a) 1 (b) -3/5 (c) 0 (d) 0.1 (e) -11
c
What is the third biggest value in -5, 986, -3/4?
-5
Which is the second biggest value? (a) -2/3 (b) -42 (c) 5 (d) 0.3 (e) -2
d
Which is the third biggest value? (a) -0.212 (b) 8 (c) -2/5 (d) -1
c
What is the smallest value in -1/4, -0.1, -148, -0.4, 0.01?
-148
What is the biggest value in 3/4, -2, -18/35, 2?
2
Which is the second smallest value? (a) -4 (b) 43 (c) 1
c
Which is the fifth biggest value? (a) -5 (b) 0 (c) -1/35 (d) -2 (e) -1.2
a
Which is the smallest value? (a) 2/11 (b) -1/4 (c) -4 (d) 0.1
c
Which is the fourth smallest value? (a) 4/9 (b) -3/7 (c) 40 (d) 10 (e) -4
d
Which is the biggest value? (a) 5/18 (b) 0 (c) -1
a
Which is the biggest value? (a) 4.2 (b) 2/9 (c) 1/2
a
What is the second smallest value in -4/11, 11, 1?
1
What is the third biggest value in -1/6, 0.4, -0.2?
-0.2
What is the fourth biggest value in 4, -2/9, 7.8, -5?
-5
Which is the third biggest value? (a) -0.05 (b) 0.1 (c) -0.5 (d) -1
c
What is the second smallest value in -5, -1.4, -4?
-4
Which is the smallest value? (a) -5 (b) 1 (c) 8 (d) 2/9
a
Which is the third biggest value? (a) 0.2 (b) -4 (c) -32 (d) 5
b
Which is the second smallest value? (a) 0.5 (b) -2 (c) -1/50
c
What is the second smallest value in -0.05, -0.1, -14/29?
-0.1
What is the biggest value in -1/2, 6, 4?
6
Which is the fourth biggest value? (a) 0.2 (b) -0.2 (c) 1/4 (d) 3/2
b
Which is the fourth smallest value? (a) 0.4 (b) -2.8 (c) 1/3 (d) 2/11
a
Which is the third smallest value? (a) 6.1 (b) -3/7 (c) 0 (d) 0.5
d
Which is the smallest value? (a) -4 (b) 2 (c) 0.4 (d) -2/5 (e) 41
a
What is the third biggest value in 0, 2/11, 11, 3?
2/11
What is the third smallest value in -0.26, -0.6, -1?
-0.26
What is the smallest value in 4, -1/3, -6, -0.5?
-6
Which is the second biggest value? (a) 0.2 (b) 30 (c) 1/4
c
Which is the third smallest value? (a) 5/3 (b) 1/2 (c) -8/5 (d) 2/7
b
What is the third biggest value in -3/13, -1/10, 4?
-3/13
Which is the second biggest value? (a) -1/6 (b) 0.1 (c) -1 (d) 0.7 (e) -0.2
b
Which is the second smallest value? (a) -19/10 (b) 3 (c) -3 (d) -2 (e) -2/11
d
What is the second smallest value in -5, -2/5, -0.23?
-2/5
What is the biggest value in 2, -18, -1, -2?
2
What is the third biggest value in -0.01, 5/4, -2, 0.03?
-0.01
What is the fourth biggest value in -2, 4/19, -5, 4?
-5
What is the biggest value in 25, -7, 1/5?
25
Which is the biggest value? (a) -0.076 (b) -1 (c) -1/6 (d) -3 (e) 5/4
e
What is the smallest value in 2/3, 8, 0.2?
0.2
Which is the third biggest value? (a) -5 (b) -0.685 (c) -4
a
Which is the second smallest value? (a) -0.2 (b) -0.13 (c) -3 (d) 2
a
Which is the third smallest value? (a) -2/19 (b) 57 (c) 4
b
Which is the second smallest value? (a) -0.5 (b) -1 (c) -12
b
Which is the smallest value? (a) 3 (b) 4/7 (c) -486
c
What is the second smallest value in 1/3, -0.3, -0.6, -1/3, 2?
-1/3
What is the third smallest value in -4143, -1/2, 1?
1
What is the second biggest value in 5, -4/5, 0.205?
0.205
Which is the third smallest value? (a) 6 (b) -5 (c) 2/13
a
Which is the fourth biggest value? (a) -1/5 (b) 3 (c) -2/11 (d) 23
a
Which is the smallest value? (a) -3 (b) 1/2 (c) 5 (d) -18
d
Which is the second smallest value? (a) 18/5 (b) 1 (c) -19
b
Which is the biggest value? (a) -4 (b) 0.204 (c) -5 (d) -1/4 (e) 0.2
b
What is the third smallest value in 1.7, 5, -3, -22?
1.7
What is the biggest value in 5, -7/44, -6/11?
5
What is the biggest value in 32.4, -1, -0.11, -3?
32.4
What is the third smallest value in 1/6, 21, 0, 0.1?
1/6
What is the third biggest value in -0.01, 18, -0.4?
-0.4
What is the third biggest value in -125, -5, 2, -0.3?
-5
What is the third smallest value in -2/11, 5, -3?
5
Which is the second biggest value? (a) 3/2 (b) 99 (c) 5
c
What is the fourth smallest value in -0.3, 0.3, 6, 0.2, -45?
0.3
Which is the fourth biggest value? (a) -3/8 (b) 1/4 (c) 3/2 (d) -3
d
What is the fourth smallest value in 2/5, -0.1, 3/2, -0.3?
3/2
Which is the second smallest value? (a) 0.8 (b) 0.2 (c) -0.1 (d) -0.4
c
Which is the second smallest value? (a) 0.3 (b) 10 (c) 2 (d) -7/12
a
Which is the smallest value? (a) 0.21 (b) -1 (c) -16
c
What is the biggest value in -0.095, -1/5, 1/2, -2?
1/2
Which is the third smallest value? (a) -12 (b) 0 (c) 2/3 (d) -2
b
Which is the third smallest value? (a) 3 (b) 0.09 (c) 1
a
What is the second biggest value in -2/169, -4, -6?
-4
Which is the biggest value? (a) -4 (b) 2/3 (c) -146 (d) -1.3 (e) -0.5
b
What is the third smallest value in 7/5, -5/6, 2?
2
What is the second smallest value in -3, -4, 3, 0.1, -63?
-4
What is the third smallest value in -1/5, 1.91, 8/3, 2/3?
1.91
What is the third smallest value in -1/8, -0.5, 1.1?
1.1
What is the third smallest value in 0, -103/3, 5?
5
What is the third biggest value in -0.4, -60/23, 1?
-60/23
What is the biggest value in -0.05, -0.2, -0.4, 1/6, 101?
101
Which is the biggest value? (a) 0.043 (b) -2/11 (c) -3 (d) -3/5
a
Which is the second smallest v
|
{
"pile_set_name": "DM Mathematics"
}
|
undred thousands digit of 379234?
3
What is the millions digit of 12056859?
2
What is the hundreds digit of 3319596?
5
What is the thousands digit of 1528130?
8
What is the tens digit of 3349909?
0
What is the thousands digit of 221085?
1
What is the hundreds digit of 36862223?
2
What is the millions digit of 3963798?
3
What is the millions digit of 6019353?
6
What is the hundreds digit of 4302580?
5
What is the hundreds digit of 100530?
5
What is the units digit of 3502?
2
What is the units digit of 12817?
7
What is the thousands digit of 33703?
3
What is the hundred thousands digit of 8621362?
6
What is the thousands digit of 473999?
3
What is the ten thousands digit of 18404754?
0
What is the hundreds digit of 3350?
3
What is the ten thousands digit of 12186936?
8
What is the hundred thousands digit of 160478?
1
What is the units digit of 2375639?
9
What is the tens digit of 253462?
6
What is the hundreds digit of 27294?
2
What is the ten thousands digit of 398335?
9
What is the tens digit of 7600?
0
What is the thousands digit of 890892?
0
What is the tens digit of 404022?
2
What is the hundred thousands digit of 13423571?
4
What is the hundred thousands digit of 1787149?
7
What is the millions digit of 7607669?
7
What is the units digit of 4126043?
3
What is the units digit of 404969?
9
What is the units digit of 96406?
6
What is the hundreds digit of 10108135?
1
What is the hundred thousands digit of 575009?
5
What is the units digit of 534312?
2
What is the hundreds digit of 694349?
3
What is the thousands digit of 9770331?
0
What is the hundreds digit of 1101571?
5
What is the tens digit of 179004?
0
What is the thousands digit of 111776?
1
What is the hundreds digit of 10994235?
2
What is the hundred thousands digit of 128938?
1
What is the thousands digit of 3588891?
8
What is the tens digit of 5604050?
5
What is the millions digit of 10188376?
0
What is the thousands digit of 263063?
3
What is the tens digit of 498350?
5
What is the hundred thousands digit of 334282?
3
What is the hundred thousands digit of 4779176?
7
What is the thousands digit of 80137?
0
What is the millions digit of 20556815?
0
What is the units digit of 4074663?
3
What is the millions digit of 16241209?
6
What is the units digit of 16756284?
4
What is the units digit of 2041252?
2
What is the ten thousands digit of 8247378?
4
What is the hundred thousands digit of 748922?
7
What is the hundreds digit of 10022264?
2
What is the ten thousands digit of 138725?
3
What is the hundreds digit of 2205409?
4
What is the thousands digit of 175301?
5
What is the thousands digit of 303854?
3
What is the thousands digit of 83184?
3
What is the hundred thousands digit of 272928?
2
What is the ten thousands digit of 433636?
3
What is the tens digit of 328011?
1
What is the hundreds digit of 356043?
0
What is the ten thousands digit of 241148?
4
What is the tens digit of 9799366?
6
What is the ten thousands digit of 8359206?
5
What is the tens digit of 249247?
4
What is the millions digit of 2188532?
2
What is the hundreds digit of 246284?
2
What is the thousands digit of 298097?
8
What is the hundreds digit of 3428775?
7
What is the hundreds digit of 119105?
1
What is the hundred thousands digit of 9226255?
2
What is the units digit of 2307423?
3
What is the thousands digit of 10613268?
3
What is the hundreds digit of 7688190?
1
What is the thousands digit of 1141600?
1
What is the tens digit of 126125?
2
What is the thousands digit of 74692?
4
What is the units digit of 243782?
2
What is the ten thousands digit of 285731?
8
What is the hundreds digit of 6600379?
3
What is the units digit of 4741191?
1
What is the ten thousands digit of 11605175?
0
What is the thousands digit of 3256835?
6
What is the hundred thousands digit of 4225223?
2
What is the millions digit of 30356500?
0
What is the thousands digit of 1178835?
8
What is the hundred thousands digit of 6227448?
2
What is the tens digit of 51780?
8
What is the hundreds digit of 133355?
3
What is the thousands digit of 14294738?
4
What is the hundred thousands digit of 531441?
5
What is the units digit of 25230?
0
What is the millions digit of 1771268?
1
What is the thousands digit of 4304798?
4
What is the units digit of 725837?
7
What is the tens digit of 339373?
7
What is the thousands digit of 645539?
5
What is the tens digit of 1960144?
4
What is the tens digit of 5808045?
4
What is the ten thousands digit of 4116581?
1
What is the tens digit of 185475?
7
What is the hundreds digit of 248022?
0
What is the ten millions digit of 18118314?
1
What is the hundreds digit of 2591?
5
What is the hundreds digit of 269854?
8
What is the ten thousands digit of 16042482?
4
What is the ten thousands digit of 4551199?
5
What is the tens digit of 3260345?
4
What is the hundreds digit of 3345820?
8
What is the units digit of 465535?
5
What is the tens digit of 2415879?
7
What is the ten millions digit of 25419561?
2
What is the tens digit of 195705?
0
What is the millions digit of 1405092?
1
What is the hundreds digit of 4484458?
4
What is the units digit of 11743155?
5
What is the thousands digit of 193159?
3
What is the hundreds digit of 14847?
8
What is the thousands digit of 6471088?
1
What is the tens digit of 6771134?
3
What is the hundreds digit of 348482?
4
What is the hundreds digit of 2232438?
4
What is the hundreds digit of 1139684?
6
What is the ten thousands digit of 1842830?
4
What is the millions digit of 7557408?
7
What is the hundreds digit of 3973049?
0
What is the ten thousands digit of 308418?
0
What is the units digit of 6095476?
6
What is the tens digit of 9200565?
6
What is the tens digit of 290496?
9
What is the hundreds digit of 837469?
4
What is the hundred thousands digit of 3675358?
6
What is the hundred thousands digit of 1406952?
4
What is the thousands digit of 106270?
6
What is the hundreds digit of 4414738?
7
What is the ten millions digit of 17371661?
1
What is the ten thousands digit of 137442?
3
What is the tens digit of 18264081?
8
What is the units digit of 10253?
3
What is the millions digit of 11612211?
1
What is the thousands digit of 80979?
0
What is the units digit of 3185711?
1
What is the thousands digit of 863906?
3
What is the units digit of 144620?
0
What is the hundred thousands digit of 6508123?
5
What is the ten thousands digit of 119807?
1
What is the millions digit of 3685088?
3
What is the units digit of 22292649?
9
What is the tens digit of 209831?
3
What is the hundred thousands digit of 1604270?
6
What is the hundreds digit of 268467?
4
What is the millions digit of 4656153?
4
What is the hundreds digit of 7821009?
0
What is the thousands digit of 106469?
6
What is the millions digit of 6244823?
6
What is the hundred thousands digit of 481575?
4
What is the hundreds digit of 326096?
0
What is the units digit of 56838?
8
What is the units digit of 8751?
1
What is the hundred thousands digit of 371715?
3
What is the thousands digit of 3371?
3
What is the hundreds digit of 1174043?
0
What is the hundreds digit of 581545?
5
What is the ten thousands digit of 49626?
4
What is the units digit of 1621730?
0
What is the ten thousands digit of 69678?
6
What is the hundred thousands digit of 125947?
1
What is the ten thousands digit of 801751?
0
What is the hundred thousands digit of 1042872?
0
What is the tens digit of 783984?
8
What is the hundreds digit of 84448?
4
What is the hundred thousands digit of 774044?
7
What is the ten thousands digit of 368299?
6
What is the ten thousands digit of 8221976?
2
What is the ten thousands digit of 1080073?
8
What is the hundreds digit of 4115506?
5
What is the thousands digit of 14261244?
1
What is the tens digit of 527835?
3
What is the hundreds digit of 91564?
5
What is the hundreds digit of 38356553?
5
What is the hundreds digit of 674821?
8
What is the tens digit of 258335?
3
What is the units digit of 739567?
7
What is the tens digit of 26073959?
5
What is the millions digit of 5829964?
5
What is the hundreds digit of 1940992?
9
What is the thousands digit of 594190?
4
What is the tens digit of 315931?
3
What is the units digit of 18337278?
8
What is the thousands digit of 87957?
7
What is the hundred thousands digit of 558627?
5
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 8*f**3 + f**2 + 1394*f**4 - 1370*f**4 + f**3 + 1051*f wrt f.
288*f**2 + 54*f + 2
Let h(z) be the third derivative of -593*z**8/168 + z**5/30 + 31*z**3/2 + 69*z**2 + 8*z. Find the third derivative of h(g) wrt g.
-71160*g**2
Let k be 0*((-32)/(-48))/(6/(-9)). Let m(w) be the second derivative of -13/2*w**2 + 7/4*w**4 + 10*w + 0*w**3 + k. What is the first derivative of m(l) wrt l?
42*l
Let o(s) = -s**3 - 15*s**2 + 74*s + 13. Let y be o(-19). Differentiate y*z + 43 - 38 - 19 wrt z.
51
Let f(o) = 17*o**2 - 529. Let n(q) = -2*q**2 + 1. Let y(m) = f(m) - 4*n(m). Differentiate y(x) wrt x.
50*x
Let o(v) be the first derivative of 6*v**3 - v**2/2 + 14. Let t be o(-1). What is the second derivative of -12*r - 18*r**2 + t*r - 13*r wrt r?
-36
Find the third derivative of 2715*u**6 + 465 + 3*u**3 + u**2 + u**3 - 2623*u**6 wrt u.
11040*u**3 + 24
Let z(l) = 2*l - 2. Let n(h) = -1. Let v(x) = -2*n(x) + z(x). Let a be v(1). What is the third derivative of 2*w**2 - 58*w**5 + 14*w**a + 73*w**5 wrt w?
900*w**2
What is the third derivative of 38442*q**2 - 19475*q**2 - 19405*q**2 + 97*q**6 wrt q?
11640*q**3
Find the second derivative of 89*i - 259*i**2 + 671*i**2 - 670*i**2 - 752*i**2 + 4 wrt i.
-2020
Let o(u) be the third derivative of 0*u**4 + 0*u**6 - 28*u - 1/70*u**7 - 19/2*u**3 + 0 + 9/10*u**5 - 3*u**2. Differentiate o(c) wrt c.
-12*c**3 + 108*c
Suppose 138*i = 122*i + 32. Let s be 18/5*10/4. Differentiate i + 11*z**3 + s*z**3 - 16 with respect to z.
60*z**2
Suppose 607 = 23*p - 888. What is the derivative of -16*o**2 + 33*o - 24 - p*o + 34*o - 2 wrt o?
-32*o + 2
Let w(s) = 541*s**4 + 34*s**3 + 34*s + 948. Let i(t) = 180*t**4 + 12*t**3 + 12*t + 316. Let p(y) = 17*i(y) - 6*w(y). What is the first derivative of p(x) wrt x?
-744*x**3
Let t(z) = -5*z**3 - 2*z**2 - 2. Let m be t(-2). Let s be (m/(-9))/(4/(-150)). Differentiate 4 - s*v**2 + 125*v**2 + 15*v**3 wrt v.
45*v**2
Let c(g) = 182*g + 265. Let m(w) = 91*w + 132. Let r be ((-20)/(-6))/((-28)/12 - -3). Let j(u) = r*m(u) - 3*c(u). What is the first derivative of j(x) wrt x?
-91
Let q be -1*(-3 + 8/(-4)). Suppose 3*p - 4*y - 19 = 0, q*p = 4*y - 2*y + 41. Find the first derivative of r + 13 - p*r + 5 - 9*r wrt r.
-17
What is the derivative of -10864 - 5*d**4 + 155*d**2 + 3067 + 7*d**3 + 2*d**4 - 5*d**3 - 5*d**3 wrt d?
-12*d**3 - 9*d**2 + 310*d
Let l(p) = 198*p + 145. Let v(z) = -24*z - 52*z - 49 - 2*z + 12*z. Let i(f) = -4*l(f) - 11*v(f). Differentiate i(s) with respect to s.
-66
Suppose 4*b = 5*m - 46, 2*b + 10 = 5*m - 28. Let a(y) be the first derivative of -7*y**2 + 512*y - 474*y + m + 40. Differentiate a(p) with respect to p.
-14
Let b(l) be the third derivative of 1/60*l**6 - 1 - 1/12*l**4 + 0*l + 11/2*l**3 + 23/20*l**5 + 15*l**2. What is the second derivative of b(o) wrt o?
12*o + 138
Let i(r) be the first derivative of -2217*r**2/2 + 205*r + 4191. Differentiate i(z) with respect to z.
-2217
Let u(l) = 2179*l**4 + 6*l**2 + 1682*l. Let s(g) = -6537*g**4 - 17*g**2 - 5055*g. Let o(f) = -6*s(f) - 17*u(f). Find the second derivative of o(w) wrt w.
26148*w**2
Let f(h) be the third derivative of 0*h**3 + 1/210*h**7 - 3*h + 19/12*h**4 + 0*h**6 + 5/6*h**5 + 0 - 15*h**2. Find the second derivative of f(k) wrt k.
12*k**2 + 100
What is the second derivative of 197*r**2 + 2 + 29*r - 44*r + 25*r + 23*r - r**3 wrt r?
-6*r + 394
Suppose -2*k - 5*i = 4, 3 + 20 = 5*k - 4*i. Differentiate 10*r**2 - 87 - k*r**3 - 10*r**2 + 97 wrt r.
-9*r**2
Suppose -6*k + k + 8990 = 0. Suppose 237 = -7*g + k. What is the second derivative of -5*n**2 + g - 8*n - 223 wrt n?
-10
Let k(h) = -14346*h - 12981. Let r(g) = 23*g + 5. Let z(f) = -k(f) - 4*r(f). What is the derivative of z(a) wrt a?
14254
Find the third derivative of -4*f**5 - 41*f**4 + 326*f**6 - 280*f**6 + 975*f**2 - 252*f**2 + 41*f**4 wrt f.
5520*f**3 - 240*f**2
What is the third derivative of -76*k**2 + 267*k**2 - 121*k**5 + 173*k**2 wrt k?
-7260*k**2
Let n be ((-6)/19)/3 + 1152/114. Find the second derivative of -2*l**3 + l - n*l**5 + 4*l**5 + 0*l + 52 wrt l.
-120*l**3 - 12*l
What is the second derivative of -57*h**4 - 3*h - 21*h + 67*h**2 + 61*h**4 - 529*h**2 - 15*h wrt h?
48*h**2 - 924
Let i(c) = -c**4 - c**3 - c**2 + c + 5. Let p(r) = -r**4 - 334*r**3 - 2*r**2 + 2*r + 451. Let q(o) = 4*i(o) - 2*p(o). Find the first derivative of q(x) wrt x.
-8*x**3 + 1992*x**2
Suppose 4*t - 11 + 35 = n, -4*t + 5*n - 40 = 0. Let g be (-136)/(-14) + 2/(-35)*t. Find the first derivative of -12 - 8*k - g*k + 18*k - 4*k**3 wrt k.
-12*k**2
What is the derivative of -183 - 14*s + 10*s - 4*s - 19*s**2 + 2967 + 6*s wrt s?
-38*s - 2
Find the second derivative of 2119*q - 2820*q + 5472*q + 9646*q + 7802*q**2 wrt q.
15604
Let o = -193 - -197. What is the first derivative of -4194 + 4196 - 2*r**2 - o*r**2 + 6*r wrt r?
-12*r + 6
Let h(n) be the second derivative of 454*n**5/5 + 1528*n**2 + 1240*n. Differentiate h(x) wrt x.
5448*x**2
Let g(s) = 15293*s + 14923. Let f(q) = -7646*q - 7416. Let m(v) = -5*f(v) - 3*g(v). Find the first derivative of m(d) wrt d.
-7649
What is the third derivative of 1572*y**2 + 44*y**5 + 42*y**5 - 1738*y**3 + 40*y**5 - 127*y**5 wrt y?
-60*y**2 - 10428
Let j(o) be the second derivative of 965*o**4/12 + 73*o**2 + 999*o. Differentiate j(g) with respect to g.
1930*g
Let a(w) be the first derivative of 0*w**2 - 51/2*w**4 - 32 + w**3 - 8*w. Find the third derivative of a(u) wrt u.
-612
Let g(v) be the second derivative of 3961*v**5/20 - 4009*v**2/2 + 2125*v. Differentiate g(d) with respect to d.
11883*d**2
Let m(u) = -u - 7. Let p be m(-7). Suppose 4*w - 12 - 4 = p. What is the derivative of -26*k**w - 15*k**4 + 12 + 2*k**4 wrt k?
-156*k**3
Let b = 5 - 0. Suppose -3*a = -b*a + 16. Differentiate 16 - 2*m - a*m**4 - 30 + 2*m with respect to m.
-32*m**3
Suppose 2*r = -3*c - c - 264, -5*c - 3*r - 332 = 0. Let h = -56 - c. What is the derivative of -2 + 21*l - h*l + 19 + 8*l wrt l?
21
Let f(h) be the second derivative of -6757*h**5/20 + 2069*h**4/3 - 7*h + 717. What is the third derivative of f(p) wrt p?
-40542
Let d(x) = -22*x**2 - 3*x + 1192. Let k(w) = -w**2 - 3*w + 9. Let m(s) = d(s) - k(s). Differentiate m(a) wrt a.
-42*a
Let s(q) = 6*q + 220. Let i be s(-23). Differentiate -i - 153*d + 94*d + 84*d with respect to d.
25
Suppose m + 5*u + 9 = -0*m, 0 = m + 4*u + 7. Find the third derivative of -504*a**3 + 23*a**5 - 9*a**2 - m + 504*a**3 wrt a.
1380*a**2
Let q(v) = -6*v + 77. Let g be q(7). Find the second derivative of 2*s**4 - s**2 + s - 8*s + g*s + 14*s wrt s.
24*s**2 - 2
Let x(k) be the first derivative of -72 + 0*k**4 - 32/5*k**5 - 5*k + 0*k**3 - 1/2*k**2. Differentiate x(t) wrt t.
-128*t**3 - 1
Find the third derivative of -2521*y**2 + 29*y**2 - 424*y**2 - 629*y**2 - 435*y**2 + 5414*y**3 wrt y.
32484
Suppose 33*q = 21*q + 852. Find the third derivative of -79*j**6 - 167*j**2 + 178*j**2 - 2 - q*j**6 + 2 wrt j.
-18000*j**3
Let w(l) = -1099*l**2 + 434*l - 15. Let r(u) = -2198*u**2 + 869*u - 25. Let d(y) = -3*r(y) + 5*w(y). What is the second derivative of d(k) wrt k?
2198
Let u(x) be the second derivative of 2 - 149/12*x**4 + 0*x**3 + 25*x - 79/2*x**2. Find the first derivative of u(t) wrt t.
-298*t
Let i(s) be the third derivative of 3577*s**6/120 + s**4/12 + 716*s**3 - 7309*s**2. What is the second derivative of i(m) wrt m?
21462*m
Let i(v) be the second derivative of -5/2*v**6 - 7/2*v**2 - 1 + 20*v + 0*v**3 + 0*v**5 + 0*v**4. Differentiate i(j) wrt j.
-300*j**3
Let r = 12 - 2. Let h(z) be the first derivative of -z - 5*z + r + 5*z**3 + 11 - 10. What is the derivative of h(l) wrt l?
30*l
Let o be (-2 - 1)*20/15. Let i be (o/(-10))/((-4)/(-40)). What is the first derivative of 37*f**4 - 10*f**i + 8*f**4 - 11 wrt f?
140*f**3
Let w(b) be the first derivative of 4*b**3/3 + b**2/2 - 8*b + 7. Let u be w(6). Find the second derivative of -u*q + q**2 - q**2 + 157*q - 6*q**5 wrt q.
-120*q**3
Let i(m) be the third derivative of -m**7/42 - 17*m**6/30 + 101*m**3/2 - 59*m**2 + 1. Differentiate i(a) with respect to a.
-20*a**3 - 204*a**2
Let z(d) be the third derivative of 0*d**4 + 0*d**5 - 11/42*d**7 + 0*d**6 + 0*d + 0 + 91*d**2 + 21/2*d**3. Differentiate z(a) wrt a.
-220*a**3
What is the third derivative of -106*a**3 - 8160*a**3 + 569*a**2 + 891*a**2 + 500*a**2 wrt a?
-49596
Let x(m) = m*
|
{
"pile_set_name": "DM Mathematics"
}
|
*w + 2660. What is m(41)?
-5
Let z(c) = 13*c + 191. Give z(13).
360
Let v(a) = 978*a - 59654. Calculate v(61).
4
Let m(i) = -3*i**2 - 28*i + 34. Determine m(-13).
-109
Let p(m) = -22*m**2 + 94*m - 12. Calculate p(6).
-240
Let r(c) = -2*c**2 + 37*c - 155. Determine r(5).
-20
Let u(a) = 13*a**2 + 85*a - 586. Determine u(5).
164
Let u(v) = 1739*v - 27830. Give u(16).
-6
Let m(i) = 1507*i - 13732. Determine m(9).
-169
Let s(c) = c**3 - 11*c**2 - 241*c - 28. Calculate s(-11).
-39
Let c(p) = p**3 + 100*p**2 + 11*p + 1131. What is c(-100)?
31
Let y(b) = -b**3 + 15*b**2 - 46*b - 8. What is y(8)?
72
Let b(h) = 375*h - 3. Calculate b(-1).
-378
Let r(z) = -493*z + 5838. Determine r(12).
-78
Let b(o) = -o**3 - 24*o**2 - 112*o - 66. Give b(-18).
6
Let v(i) = -5*i - 159. Calculate v(-36).
21
Let v(g) = 9*g**2 - 648*g - 1954. What is v(-3)?
71
Let o(v) = -10*v**2 - 21*v - 114. Give o(-6).
-348
Let f(w) = -23*w - 782. Determine f(-34).
0
Let i(k) = -4*k**2 + 6*k + 22. Determine i(7).
-132
Let w(l) = 42*l - 145. Determine w(-7).
-439
Let p(n) = 7*n + 218. Determine p(-26).
36
Let x(p) = p**3 - 5*p**2 - 25*p + 150. Give x(6).
36
Let t(d) = -121*d + 1522. Give t(13).
-51
Let k(h) = h**3 - 107*h**2 - 335*h + 559. Calculate k(110).
9
Let u(t) = -6*t**2 + 802*t + 12727. What is u(148)?
-1
Let k(q) = 3*q**2 - 45*q + 12. What is k(10)?
-138
Let k(y) = -83*y - 23. Determine k(-3).
226
Let l(b) = -b**2 + 8*b + 690. Determine l(29).
81
Let t(l) = l**3 - 11*l**2 - 61*l + 76. Give t(15).
61
Let r(g) = -32*g + 262. Calculate r(8).
6
Let q(h) = -h**2 + 100*h - 2499. Determine q(52).
-3
Let i(s) = s**3 - 28*s**2 - 125*s - 21. Determine i(32).
75
Let u(g) = 3*g**3 - 29*g**2 - 128*g - 37. What is u(13)?
-11
Let k(o) = -o**3 - 154*o**2 - 1441*o - 145. What is k(-144)?
-1
Let f(x) = -2*x**2 - 38*x - 23. What is f(-24)?
-263
Let m(r) = -3*r**2 - 191*r + 118. What is m(-65)?
-142
Let f(g) = g**2 - 81*g + 1081. What is f(64)?
-7
Let i(t) = -t**3 + 7*t**2 + 19*t - 8. Give i(9).
1
Let x(f) = 139*f - 702. What is x(5)?
-7
Let m(n) = n**2 - 25*n - 135. Determine m(0).
-135
Let t(j) = 2*j**2 + 2*j + 30. Determine t(15).
510
Let g(y) = -2*y**2 - 3*y + 149. What is g(-11)?
-60
Let h(w) = 262*w + 1836. Calculate h(-7).
2
Let m(c) = 45*c**2 - 38*c + 2. Calculate m(1).
9
Let d(g) = 528*g - 510. Give d(1).
18
Let u(f) = 28*f**2 + 2239*f - 85. Determine u(-80).
-5
Let l(g) = 1868*g + 22402. Give l(-12).
-14
Let j(z) = 7*z + 205. What is j(-6)?
163
Let p(q) = -74*q + 126. What is p(2)?
-22
Let k(q) = 118*q + 8. Give k(1).
126
Let l(n) = n**2 + 13*n - 18. What is l(-12)?
-30
Let h(c) = 10*c**3 + 33*c**2 + 9*c + 12. Give h(-4).
-136
Let t(b) = b**2 - 38*b + 218. Determine t(5).
53
Let f(v) = -155*v + 1187. What is f(10)?
-363
Let d(s) = s**2 - 563*s + 6693. Determine d(12).
81
Let o(h) = 2*h**2 + 10*h - 1080. Calculate o(-26).
12
Let r(m) = 59*m - 47. Calculate r(-2).
-165
Let m(y) = -22*y**3 + 4*y**2 + 5*y + 2. Give m(-1).
23
Let r(d) = d**3 + 7*d**2 + 3*d + 50. Calculate r(-8).
-38
Let g(i) = -i**2 - 22*i - 33. What is g(-20)?
7
Let k(j) = -766*j - 2303. Calculate k(-3).
-5
Let y(v) = 19*v**2 - 2841*v - 4237. Give y(151).
-9
Let d(n) = -n**2 - n + 985. Calculate d(-32).
-7
Let d(o) = -2*o**3 + 20*o**2 - 3*o - 13. What is d(10)?
-43
Let x(r) = 2*r**2 - 354*r + 2783. Give x(8).
79
Let d(f) = 60*f - 2221. Determine d(38).
59
Let h(f) = -15*f**2 - 11*f + 27. What is h(4)?
-257
Let j(s) = 4*s**2 + 36*s + 42. Determine j(-6).
-30
Let m(r) = r**3 + 7*r**2 + 9*r - 6. Calculate m(-2).
-4
Let v(f) = -f**2 + 74*f + 657. Determine v(-9).
-90
Let d(s) = 13*s - 297. What is d(23)?
2
Let s(t) = 2450*t + 4866. Give s(-2).
-34
Let o(z) = 30*z**2 - 8*z - 12. What is o(-2)?
124
Let z(i) = -30*i + 105. Calculate z(3).
15
Let s(p) = -1561*p - 10960. Determine s(-7).
-33
Let p(a) = 17*a + 210. Give p(-11).
23
Let i(m) = -m**3 + 30*m + 21. What is i(-5)?
-4
Let q(f) = -4*f + 264. Calculate q(65).
4
Let k(c) = 10*c**2 - 7*c + 1. Determine k(-6).
403
Let p(s) = 6*s**3 - 109*s**2 + 15*s + 21. Give p(18).
-33
Let u(h) = -h**3 - 2*h**2 - 5*h + 27. Give u(0).
27
Let c(r) = r**3 - r**2 - r + 314. Calculate c(0).
314
Let h(l) = 3*l**2 + 5*l + 5. Calculate h(-3).
17
Let c(v) = -v**3 + 7*v**2 + 13*v + 174. Give c(10).
4
Let l(h) = -21*h - 241. Give l(-4).
-157
Let o(r) = 94*r + 800. Determine o(-7).
142
Let c(m) = -111*m + 3079. What is c(28)?
-29
Let a(k) = -5*k**2 - 26*k + 2. Give a(1).
-29
Let o(q) = 3*q**2 - 105*q - 1650. What is o(-12)?
42
Let m(v) = 545*v + 23436. Give m(-43).
1
Let t(j) = j**2 + 19*j - 50. What is t(-19)?
-50
Let q(n) = -n**3 + 79*n**2 + 254*n - 220. Give q(82).
436
Let h(x) = x**3 + 86*x**2 - 17*x - 8675. Calculate h(-85).
-5
Let b(y) = -y**2 - 64*y - 186. Determine b(-28).
822
Let j(a) = -353*a + 2088. Determine j(6).
-30
Let m(f) = -f**3 - 23*f**2 - 25*f - 208. Give m(-22).
-142
Let t(l) = -7012*l - 77134. Give t(-11).
-2
Let a(m) = 1802*m + 21624. Give a(-12).
0
Let u(g) = -15*g**3 + 2*g**2 - 2*g + 10. Calculate u(1).
-5
Let y(d) = 9*d + 7. Give y(-5).
-38
Let p(z) = 2*z**2 + 134*z - 277. Give p(-69).
-1
Let v(o) = -434*o**2 + 9*o - 10. What is v(1)?
-435
Let q(u) = u + 66. Determine q(-59).
7
Let y(l) = -47*l - 382. Give y(-19).
511
Let f(l) = -l**3 + 105*l**2 + 29*l + 19795. Determine f(107).
0
Let a(b) = b**3 + 79*b**2 - 164*b - 122. Give a(-81).
40
Let v(i) = -154*i - 752. Calculate v(-5).
18
Let n(y) = 5*y**2 - 29*y - 5047. Determine n(-29).
-1
Let k(a) = -23*a**2 + 8*a - 8. Determine k(1).
-23
Let d(i) = -4*i**3 + 118*i**2 + 63*i - 116. Determine d(30).
-26
Let p(c) = 1370*c - 12339. Determine p(9).
-9
Let j(a) = 2*a + 97. Determine j(-31).
35
Let z(r) = -r**3 + 13*r**2 - 9*r - 26. Calculate z(2).
0
Let f(l) = 338*l - 1358. Determine f(4).
-6
Let r(t) = -t**3 - 39*t**2 - 44*t - 238. Determine r(-38).
-10
Let p(b) = 21*b - 410. What is p(21)?
31
Let p(n) = 263*n + 9450. Give p(-36).
-18
Let u(b) = -b**2 + 10*b + 151. What is u(21)?
-80
Let x(b) = -2*b**2 + 33*b - 132. What is x(6)?
-6
Let n(s) = -28*s - 6240. Give n(-223).
4
Let m(n) = -n**3 + 20*n**2 + 25*n + 191. Determine m(22).
-227
Let p(b) = b**3 + 9*b**2 + 16*b + 168. Give p(-10).
-92
Let r(o) = 25*o + 2048. Give r(-82).
-2
Let i(x) = 2*x**3 + 3*x**2 + 3*x + 1. Calculate i(-3).
-35
Let s(x) = 248*x - 988. Determine s(4).
4
Let b(l) = 52*l + 3409. Give b(-66).
-23
Let o(j) = 2*j**2 + 212*j + 1191. Calculate o(-100).
-9
Let c(f) = 6*f**2 + 67*f - 25. What is c(-11)?
-36
Let d(m) = 231*m + 8285. Give d(-36).
-31
Let b(a) = 3*a**2 + 45*a - 48. Calculate b(-11).
-180
Let x(j) = 3*j**3 - 30*j**2 + 2*j - 10. What is x(10)?
10
Let g(d) = 3*d**3 + 7*d**2 - 65*d + 7. Give g(-6).
1
Let s(b) = b**3 - 38*b**2 + 40*b - 169. Determine s(37).
-58
Let y(t) = -36*t**3 + 110*t**2 - 3*t + 15. What is y(3)?
24
Let v(m) = -39*m - 548. Give v(-14).
-2
Let z(h) = -2*h**2 + 15*h + 67. Calculate z(-4).
-25
Let r(u) = 83*u + 1282. Calculate r(-14).
120
Let b(z) = 189*z - 49321. Give b(261).
8
Let l(h) = -13*h**2 - 184*h - 26. Calculate l(-14).
2
Let k(n) = -20*n - 712. Determine k(-37).
28
Let v(q) = -2*q**2 - 48*q + 509. Calculate v(-30).
149
Let m(s) = s**2 - 73*s - 5153. Determine m(117).
-5
Let j(v) = -2*v**3 - 105*v**2 + 184*v + 1136. Determine j(-54).
-52
Let q(r) = -133*r + 2159. What is q(16)?
31
Let k(x) = -13*x**2 + 73*x - 206. Give k(3).
-104
Let s(o) = -44*o + 1321. Calculate s(33).
-131
Let s(v) = -220*v - 1093. What is s(-5)?
7
Let s(n) = -7*n**2 + 252*n + 4030. Give s(48).
-2
Let b(s) = 6*s**2 + 117*s - 674. Calculate b(6).
244
Let i(k) = 51*k**3 + 244*k - 245. Give i(1).
50
Let i(w) = 7*w**2 - 38. Give i(3).
25
Let w(p) = 121*p**2 - 2*p + 36. Calculate w(0).
36
Let n(k) = 5*k**2 + 382*k + 2833. What is n(-68)?
-23
Let z(g) = g**3 + 50*g**2 + 222*g - 141. Determine z(-45).
-6
Let t(z) = z**2 + 101*z + 480. Determine t(-5).
0
Let y(f) = -f**3 + 10*f**2 - 205*f + 3165. Give y(13).
-7
Let a(b) = 2*b**2 + 11*b - 6. What is a(-5)?
-11
Let k(f) = f**3 - 4*f**2 - 123*f + 658. Calculate k(6).
-8
Let i(t) = t**2 + 126*t + 2444. Calculate i(-24).
-4
Let f(t) = -2*t**3 + 56*t**2 - 70*t + 425. Calculate f(27).
-7
Let x(z) = -4*z**2 + 134*z + 689. What is x(38)?
5
Let n(u) = 2*u**2 - 75*u - 127. Determine n(39).
-10
Let u(z) = -9*z + 314. Calculate u(38).
-
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5*o, 0 = x - o - i. Factor 2*c**2 - 6*c - 3 + 6 + x.
2*(c - 2)*(c - 1)
Let -2/3 + 0*i + 2/3*i**2 = 0. Calculate i.
-1, 1
Let b = -3 + 5. Let i**4 + 2*i**3 - 2*i**2 - 2*i**4 + i**b = 0. Calculate i.
0, 1
Let s(p) be the first derivative of -69/20*p**4 + 0*p**5 - 6 - 51/10*p**2 + 33/5*p**3 + 9/5*p + 2/5*p**6. Solve s(y) = 0.
-3, 1/2, 1
Find b such that -3*b**2 - 9/2 - 3/4*b**3 + 33/4*b = 0.
-6, 1
Let k = -11 - -21. Suppose 0 = -3*u + 6, -4*q + 0*u + k = -u. What is p in -4*p - 3*p**2 - 2*p**2 - 5*p**2 - 6*p**q = 0?
-1, -2/3, 0
Let z(m) be the first derivative of m**5/60 - m**4/12 - 2*m**2 - 2. Let p(q) be the second derivative of z(q). Suppose p(l) = 0. What is l?
0, 2
Let c(n) be the third derivative of n**5/15 - 2*n**3/3 + 10*n**2. Let c(x) = 0. What is x?
-1, 1
Let n(y) be the third derivative of y**6/480 + y**5/48 + y**4/24 - y**2 - 10. Factor n(p).
p*(p + 1)*(p + 4)/4
Determine f so that 10*f**4 - 4*f**5 - 4*f**2 - 9*f**3 + 14*f**3 + 0*f**2 - 7*f**3 = 0.
-1/2, 0, 1, 2
Let p(w) be the first derivative of -w**6/120 - w**5/150 + 3*w**2 + 7. Let z(q) be the second derivative of p(q). Factor z(u).
-u**2*(5*u + 2)/5
Let r = -122 - -181. Let k = -411/7 + r. Find x, given that k + 0*x - 2/7*x**2 = 0.
-1, 1
Let k = -1/9 - -14/45. Factor -k*b - 1/5*b**2 + 2/5.
-(b - 1)*(b + 2)/5
Let g(q) = q**2 - 1. Let j(b) = -5*b**2 + 6*b + 12. Let r(h) = -6*g(h) - j(h). Let p be r(-4). Factor p*x**3 + 12*x**2 + 13*x + x**3 + 1 + 5 + 2*x.
3*(x + 1)**2*(x + 2)
Let i = 7 + -2. Suppose -4*x = -i*x. What is o in x - 2/3*o**2 - 2/3*o = 0?
-1, 0
Let b(l) be the second derivative of l**7/210 - l**6/25 + 3*l**5/25 - 2*l**4/15 + l. Solve b(h) = 0.
0, 2
Let b = 29/15 + -229/15. Let q = -13 - b. Find k, given that 2/3*k**2 - q*k - 2/3 + 1/3*k**3 = 0.
-2, -1, 1
Let n = 117/154 - 3/14. What is g in 8/11*g**2 + 8/11*g - n*g**3 + 0 = 0?
-2/3, 0, 2
Let l(v) = -v**2 - 3*v - 3. Suppose -z + 20 = -2*s - s, 5*z - 52 = -s. Let c(m) = z*m + 2*m**2 + m**2 + 11 + m**2. Let g(t) = -6*c(t) - 22*l(t). Factor g(o).
-2*o**2
Let t(h) be the second derivative of h**5/5 + 4*h**4 + 32*h**3 + 128*h**2 + 10*h. Factor t(o).
4*(o + 4)**3
Let z(p) be the first derivative of 2/7*p**4 - 1 - 2/7*p**3 - 1/7*p**2 + 0*p. Suppose z(i) = 0. What is i?
-1/4, 0, 1
Factor 15/4*y + 3/2 + 3*y**2 + 3/4*y**3.
3*(y + 1)**2*(y + 2)/4
Let n be (-72)/35*220/(-1661). Let g = n + 2/151. Solve 20/7*i**2 + 10/7*i**4 + 20/7*i**3 + 2/7 + g*i**5 + 10/7*i = 0 for i.
-1
Determine n, given that 12*n + 8*n - 1316*n**3 - 12*n**2 + 1320*n**3 - 8 - 4*n**2 = 0.
1, 2
Factor 3/4*y**2 + 0 - 9/4*y.
3*y*(y - 3)/4
Let j(c) be the second derivative of c**6/30 - c**5/20 - c**4/4 + c**3/6 + c**2 + 10*c. Factor j(p).
(p - 2)*(p - 1)*(p + 1)**2
Let r(f) be the third derivative of f**6/60 + f**5/10 - f**4/12 - f**3 - 29*f**2. Determine t, given that r(t) = 0.
-3, -1, 1
Let x(v) be the first derivative of -20*v**3/9 + 2*v**2 + 6. Let x(i) = 0. Calculate i.
0, 3/5
Let s(h) be the third derivative of -1/20*h**4 + 0 + 0*h - 1/75*h**5 + 2*h**2 + 1/175*h**7 + 1/840*h**8 + 1/150*h**6 - 1/15*h**3. Determine r so that s(r) = 0.
-1, 1
Let w(g) be the second derivative of 1/3*g**3 + 1/21*g**7 - g**2 + 0 - 1/15*g**6 - 5*g - 1/5*g**5 + 1/3*g**4. Find t such that w(t) = 0.
-1, 1
Let p(b) be the first derivative of b**3/3 - 4*b**2 + 16*b - 10. Factor p(q).
(q - 4)**2
Let w(r) be the first derivative of -1/5*r**3 + 3/5*r**2 - 1 + 0*r. Find h, given that w(h) = 0.
0, 2
Let j be ((-40)/12 - -3) + 1. Let r(l) be the first derivative of j*l**3 - 3/5*l**5 - 1/6*l**6 - 1/2*l**4 + 1 + 3/2*l**2 + l. Suppose r(m) = 0. Calculate m.
-1, 1
Let a be 126/588*14/12. Factor a*g + 1/2 - 1/4*g**2.
-(g - 2)*(g + 1)/4
Let z(v) be the second derivative of 5*v**8/168 + v**7/35 - v**6/30 - 3*v**2/2 + 2*v. Let m(a) be the first derivative of z(a). Factor m(c).
2*c**3*(c + 1)*(5*c - 2)
Let o(m) be the first derivative of -3*m - 2 - 5/3*m**3 - m**2. Let t(r) = 9*r**2 + 4*r + 5. Let q(k) = -5*o(k) - 3*t(k). Find b such that q(b) = 0.
-1, 0
Let l(t) = 15*t**4 - 36*t**3 + 36*t**2 - 15*t. Let n(a) = a**5 + 29*a**4 - 71*a**3 + 72*a**2 - 31*a. Let s(o) = 7*l(o) - 3*n(o). Suppose s(d) = 0. Calculate d.
0, 1, 2
Let j(o) be the first derivative of 0*o**4 + 0*o + 0*o**3 + 1 + 2*o**6 + 0*o**2 - 3/5*o**5. Solve j(k) = 0.
0, 1/4
Let y = 2 - -1. Determine k, given that -k**5 + k**3 - k**3 + k**y = 0.
-1, 0, 1
Suppose -76 = -p - 76. Find g such that p - 4/11*g - 6/11*g**2 = 0.
-2/3, 0
Let f(b) be the second derivative of -b**6/540 - b**5/30 - b**4/4 + b**3/3 + 5*b. Let t(g) be the second derivative of f(g). Find q, given that t(q) = 0.
-3
Let f = 7 - 6. Factor 2 + d**2 - 3 + d**3 - d**4 + f - d**5.
-d**2*(d - 1)*(d + 1)**2
Solve 0*g + 1/2*g**5 + 0*g**2 + 1/2*g**3 + 0 - g**4 = 0.
0, 1
Let t(l) = -l + 2. Let v be t(-2). Determine a so that -6*a**2 - 4*a + 3*a**5 + 8*a**3 - 11*a + 4*a**3 + 12*a**v - 6 = 0.
-2, -1, 1
Let c(p) be the first derivative of 1/2*p**2 + 1/15*p**3 + 1/150*p**5 + 0*p + 1/30*p**4 - 2. Let h(x) be the second derivative of c(x). Factor h(j).
2*(j + 1)**2/5
Factor 4/5*i**3 + 0*i - 2/5*i**2 + 0.
2*i**2*(2*i - 1)/5
Suppose -90 = -10*d - 30. Let g(y) be the third derivative of 0 + 1/120*y**5 - 2*y**2 + 0*y**4 + 0*y**3 + 1/120*y**d + 0*y + 1/420*y**7. Factor g(u).
u**2*(u + 1)**2/2
Let h(v) be the second derivative of v**6/225 + v**5/150 - v**4/30 - v**3/9 - 2*v**2/15 + 5*v. Suppose h(d) = 0. What is d?
-1, 2
Factor -8*l**2 - 15*l + 1 + 3*l - 9 + 4*l**2.
-4*(l + 1)*(l + 2)
Let 2/11*w**2 - 10/11*w + 8/11 = 0. Calculate w.
1, 4
Let n(k) be the first derivative of k**4/22 - 2*k**3/33 - 2*k**2/11 + 41. Determine m so that n(m) = 0.
-1, 0, 2
Let s(v) be the second derivative of 1/180*v**6 + 0*v**5 + 0*v**3 - 1/315*v**7 + 0 + v**2 - 2*v + 0*v**4. Let m(l) be the first derivative of s(l). Factor m(u).
-2*u**3*(u - 1)/3
Let j(r) be the second derivative of 0 + 1/36*r**4 + 2*r + 0*r**2 - 1/18*r**3. Factor j(p).
p*(p - 1)/3
Suppose 3*r + 7*h = 4*h - 78, 0 = 3*r + 2*h + 74. Let x be (-28)/(-77) - (-4)/r. Determine f so that -4/11*f - x*f**2 - 2/11 = 0.
-1
Let s(d) be the second derivative of -d**4/42 - 2*d**3/21 - 18*d. Factor s(x).
-2*x*(x + 2)/7
Let y(l) be the first derivative of 2/3*l**2 - 1/3*l**4 - 2/3*l + 8/9*l**3 + 5 - 2/5*l**5. Solve y(f) = 0.
-1, 1/3, 1
Let w = 795 - 792. Factor 2 - 10/3*q + 2/3*q**2 + 2/3*q**w.
2*(q - 1)**2*(q + 3)/3
Let p(j) = 4*j + 19. Let q(g) = 2*g + 10. Let i(o) = -4*p(o) + 7*q(o). Let z be i(-4). Determine n, given that -4*n**z + 0 + 4*n + n**3 + 0 = 0.
0, 2
Let r = 0 + 3. Factor 45*j + 6*j**r - 21*j**2 - 10 - 3*j**3 - 17.
3*(j - 3)**2*(j - 1)
Let i(t) be the first derivative of t**6/252 - t**5/210 + t**3/3 + 1. Let x(o) be the third derivative of i(o). Solve x(s) = 0 for s.
0, 2/5
Let l(t) be the third derivative of t**7/525 + t**6/90 - t**5/50 - t**4/45 + 19*t**2. Find z such that l(z) = 0.
-4, -1/3, 0, 1
Suppose 5*t = -4*l + 40, -2*l = -6 - 4. Solve 2/5*m**5 + 3/5*m**t - 1/5*m**3 - 3/5*m**2 + 0 - 1/5*m = 0 for m.
-1, -1/2, 0, 1
Let k = -41 + 44. Let x(w) be the third derivative of 0*w + 4/15*w**k + 1/15*w**4 + 1/150*w**5 - 2*w**2 + 0. Factor x(j).
2*(j + 2)**2/5
Let z(c) be the first derivative of c**6/2 - 12*c**5/5 + 3*c**4 + 2*c**3 - 15*c**2/2 + 6*c + 40. Suppose z(n) = 0. Calculate n.
-1, 1, 2
Suppose 0 = 2*d + 3*d - 10. Factor -z + z**5 - 5*z**2 + d*z**4 + 0*z**2 + 3*z**2.
z*(z - 1)*(z + 1)**3
Factor -4/3*g**2 + 4/3 - 2*g + 2*g**3.
2*(g - 1)*(g + 1)*(3*g - 2)/3
Factor -g - 2*g**3 + 6*g**3 - 2*g - g.
4*g*(g - 1)*(g + 1)
Let x(z) be the first derivative of -z**6/720 + z**4/12 - 5*z**3/3 + 6. Let v(n) be the third derivative of x(n). Determine o so that v(o) = 0.
-2, 2
Let h be (2 - 36/16)*-6. Let p(u) be the first derivative of 6*u - h*u**2 + 2 + 3/4*u**4 - 2*u**3. Determine y so that p(y) = 0.
-1, 1, 2
Let c(u) be the first derivative of -2*u**3/21 - 2*u**2/7 - 2*u/7 + 20. Factor c(v).
-2*(v + 1)**2/7
Let y(m) = 3*m**2 + 10*m + 6. Let o(b) = 6*b**2 + 21*b + 13. Let c be 9*(-2)/(-3) + 4. Let z(j) = c*y(j) - 4*o(j). Let z(n) = 0. Calculate n.
-2, -2/3
Suppose 15/8*l**2 - 3/4 - 43/8*l = 0. What is l?
-2/15, 3
Let g be (-6 - -5)*1*0. Determine f so that 0 + g*f - 1/4*f**3 - 3/4*f**4 + 1/2*f**2 = 0.
-1, 0, 2/3
Factor 2 - 1/2*u**2 - 2*u + 1/2*u**3.
(u - 2)*(u
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the remainder when 19483 is divided by 4860?
43
Calculate the remainder when 22111 is divided by 632.
623
What is the remainder when 1348 is divided by 432?
52
Calculate the remainder when 148199 is divided by 8232.
23
What is the remainder when 2606 is divided by 87?
83
Calculate the remainder when 59871 is divided by 7483.
7
Calculate the remainder when 4109 is divided by 2004.
101
Calculate the remainder when 133558 is divided by 23.
20
What is the remainder when 1122 is divided by 588?
534
Calculate the remainder when 11797 is divided by 357.
16
What is the remainder when 36784 is divided by 18387?
10
What is the remainder when 148862 is divided by 182?
168
Calculate the remainder when 9376 is divided by 9.
7
Calculate the remainder when 8715 is divided by 2161.
71
Calculate the remainder when 1301 is divided by 69.
59
Calculate the remainder when 246068 is divided by 57.
56
What is the remainder when 2049 is divided by 50?
49
Calculate the remainder when 11613 is divided by 208.
173
What is the remainder when 19998 is divided by 152?
86
Calculate the remainder when 752 is divided by 255.
242
Calculate the remainder when 25279 is divided by 497.
429
What is the remainder when 209646 is divided by 41896?
166
What is the remainder when 148 is divided by 117?
31
What is the remainder when 1446 is divided by 25?
21
What is the remainder when 187202 is divided by 39?
2
Calculate the remainder when 15670 is divided by 65.
5
What is the remainder when 26056 is divided by 284?
212
What is the remainder when 262646 is divided by 51?
47
What is the remainder when 11769 is divided by 440?
329
What is the remainder when 17661 is divided by 69?
66
Calculate the remainder when 49389 is divided by 16457.
18
Calculate the remainder when 28410 is divided by 451.
448
Calculate the remainder when 199145 is divided by 5531.
29
Calculate the remainder when 44383 is divided by 11095.
3
Calculate the remainder when 166647 is divided by 23805.
12
What is the remainder when 20920 is divided by 49?
46
Calculate the remainder when 5651 is divided by 186.
71
What is the remainder when 12762 is divided by 69?
66
Calculate the remainder when 276219 is divided by 2970.
9
What is the remainder when 61941 is divided by 20642?
15
Calculate the remainder when 71017 is divided by 2284.
213
Calculate the remainder when 9834 is divided by 286.
110
What is the remainder when 1495 is divided by 212?
11
Calculate the remainder when 1566412 is divided by 18214.
8
What is the remainder when 7976 is divided by 346?
18
Calculate the remainder when 10178 is divided by 29.
28
Calculate the remainder when 43488 is divided by 8.
0
Calculate the remainder when 7506 is divided by 1498.
16
Calculate the remainder when 1163 is divided by 331.
170
What is the remainder when 147626 is divided by 442?
440
Calculate the remainder when 276937 is divided by 92310.
7
Calculate the remainder when 207 is divided by 205.
2
Calculate the remainder when 47876 is divided by 9.
5
What is the remainder when 515384 is divided by 147?
2
What is the remainder when 1229 is divided by 448?
333
What is the remainder when 37658 is divided by 7522?
48
What is the remainder when 5916 is divided by 50?
16
What is the remainder when 1105903 is divided by 157?
152
Calculate the remainder when 441243 is divided by 220607.
29
What is the remainder when 99635 is divided by 92?
91
What is the remainder when 169948 is divided by 110?
108
Calculate the remainder when 2692 is divided by 127.
25
What is the remainder when 27789 is divided by 224?
13
Calculate the remainder when 8714 is divided by 782.
112
Calculate the remainder when 3374 is divided by 567.
539
Calculate the remainder when 12261 is divided by 1361.
12
What is the remainder when 82124 is divided by 1125?
1124
What is the remainder when 1656 is divided by 424?
384
Calculate the remainder when 2412 is divided by 203.
179
Calculate the remainder when 139987 is divided by 35.
22
Calculate the remainder when 454037 is divided by 432.
5
Calculate the remainder when 6396 is divided by 123.
0
Calculate the remainder when 102083 is divided by 12.
11
What is the remainder when 84906 is divided by 218?
104
What is the remainder when 71394 is divided by 51?
45
Calculate the remainder when 119684 is divided by 49.
26
Calculate the remainder when 12093 is divided by 4013.
54
Calculate the remainder when 5582 is divided by 1853.
23
What is the remainder when 31487 is divided by 202?
177
Calculate the remainder when 12131 is divided by 269.
26
What is the remainder when 147358 is divided by 147349?
9
Calculate the remainder when 58631 is divided by 56.
55
Calculate the remainder when 7737 is divided by 1545.
12
Calculate the remainder when 9586 is divided by 141.
139
What is the remainder when 10740 is divided by 2148?
0
Calculate the remainder when 7576 is divided by 257.
123
Calculate the remainder when 22533 is divided by 22533.
0
What is the remainder when 118682 is divided by 965?
952
What is the remainder when 1764 is divided by 162?
144
Calculate the remainder when 2781 is divided by 2.
1
Calculate the remainder when 13270 is divided by 8.
6
What is the remainder when 323 is divided by 202?
121
What is the remainder when 5482 is divided by 5?
2
What is the remainder when 48884 is divided by 18?
14
Calculate the remainder when 150102 is divided by 20.
2
Calculate the remainder when 93419 is divided by 1139.
21
What is the remainder when 4497 is divided by 97?
35
Calculate the remainder when 6476 is divided by 2148.
32
What is the remainder when 11289 is divided by 49?
19
What is the remainder when 73516 is divided by 73485?
31
What is the remainder when 2381 is divided by 171?
158
Calculate the remainder when 7776 is divided by 684.
252
What is the remainder when 74336 is divided by 451?
372
What is the remainder when 16066 is divided by 217?
8
Calculate the remainder when 306338 is divided by 61264.
18
Calculate the remainder when 41649 is divided by 35.
34
What is the remainder when 1833873 is divided by 137?
128
What is the remainder when 573113 is divided by 19?
16
What is the remainder when 194766 is divided by 329?
327
What is the remainder when 1507 is divided by 749?
9
What is the remainder when 48990 is divided by 6983?
109
Calculate the remainder when 423295 is divided by 4703.
25
What is the remainder when 190091 is divided by 372?
371
What is the remainder when 19352 is divided by 276?
32
Calculate the remainder when 42 is divided by 9.
6
What is the remainder when 12790 is divided by 2986?
846
Calculate the remainder when 22366 is divided by 356.
294
Calculate the remainder when 2608 is divided by 841.
85
Calculate the remainder when 2542 is divided by 26.
20
Calculate the remainder when 69057 is divided by 5.
2
Calculate the remainder when 1358653 is divided by 246.
241
Calculate the remainder when 62572 is divided by 69.
58
Calculate the remainder when 5011 is divided by 2488.
35
What is the remainder when 14195 is divided by 430?
5
Calculate the remainder when 5667 is divided by 96.
3
Calculate the remainder when 3376 is divided by 598.
386
Calculate the remainder when 131341 is divided by 1265.
1046
What is the remainder when 1156 is divided by 570?
16
Calculate the remainder when 5280 is divided by 72.
24
Calculate the remainder when 141334 is divided by 496.
470
What is the remainder when 36180 is divided by 804?
0
Calculate the remainder when 4432 is divided by 1444.
100
Calculate the remainder when 653122 is divided by 148.
146
What is the remainder when 9957 is divided by 138?
21
What is the remainder when 4924 is divided by 433?
161
Calculate the remainder when 178890 is divided by 37.
32
What is the remainder when 2315 is divided by 2188?
127
Calculate the remainder when 25436 is divided by 183.
182
What is the remainder when 7590 is divided by 2199?
993
What is the remainder when 6977 is divided by 58?
17
Calculate the remainder when 84468 is divided by 155.
148
What is the remainder when 1816 is divided by 1642?
174
Calculate the remainder when 3106 is divided by 752.
98
Calculate the remainder when 1418 is divided by 316.
154
Calculate the remainder when 823 is divided by 784.
39
Calculate the remainder when 109557 is divided by 378.
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve -z = -m*z for z.
0
Suppose -8*d = -3*d + o + 5, 10 = -2*o. Solve -4 = -2*g - d for g.
2
Suppose 0 = 31*l - 6*l - 225. Solve l*b = 11*b + 8 for b.
-4
Suppose -36 = 2*k - 52. Solve -k*w = -4*w for w.
0
Let q = 13 - 13. Let z be (3 - q) + 1 + 1. Solve -z = -5*h + 5 for h.
2
Suppose i + 0*i = -4*q + 20, 0 = 4*q + 4*i - 8. Solve -q = 6*k - 12 for k.
1
Let o = -268 + 280. Solve 7 - o = l for l.
-5
Suppose -3*k = -0*k - 18. Suppose -3*h - 3 = -4*h. Let t = k - h. Solve -t*z + 9 = -6*z for z.
-3
Let m(g) = 2*g**2 - 13*g + 23. Let j be m(7). Suppose 37*n = j*n + 84. Solve 0 = -2*a + 4 - n for a.
-4
Let j(g) = g**2 - 11*g + 31. Let a be j(6). Solve -o + 3 = a for o.
2
Let j be (-1)/3 + (-539)/(-33) + -8. Solve j = -6*b + 8*b for b.
4
Let g(j) = -2*j + 36. Let w = -67 - -76. Let i be g(w). Solve 5*l - 7 - i = 0 for l.
5
Let j be 7/(-420)*-8 - (-116)/30. Solve j = 4*u - 4 for u.
2
Let b be 8/3*135/36. Suppose b = -2*a - 12. Let j = 18 + a. Solve l - j = -2 for l.
5
Let p = 189 + -184. Solve 12 + 13 = p*j for j.
5
Let k be -15 + 9 + 0 + 0. Let x = 4 - -12. Let r be (k/4)/((-12)/x). Solve 0 = r*n - 5*n for n.
0
Let j = 2171 - 2162. Solve j*o = 16*o for o.
0
Let y be (18/(-3))/(-3) + (2 - 1). Suppose -11*h = -12*h + y. Solve h*x + 9 = -3 for x.
-4
Let s(q) = 2*q**3 - 14*q**2 + q - 7. Let d be s(7). Solve -2*i + 9*i + 21 = d for i.
-3
Let i be 2/11 + (-2880)/(-495). Solve -r - i = -4 for r.
-2
Let n be 7 + 3 - (-5 + 23). Suppose 90 = 4*v - v + 5*g, -5*g = 4*v - 120. Let h be (n/5)/(-4)*v. Solve -2*s - 2*s = h for s.
-3
Suppose 0 = 3*l + 3*b - 15, 39 = 48*l - 43*l - 2*b. Solve 5*j - l = 8 for j.
3
Suppose -3*h - 26 = -104. Solve 0 = -h*t + 23*t - 15 for t.
-5
Suppose -9 = 3*i - 5*k, 4*k - 13 + 3 = i. Let t be -21*i/(-3) - (7 - 3). Solve 5*z = t*z for z.
0
Let x = -11 + 19. Let t be 0/1 - (-8 - -1). Let g = x - t. Solve 2*f - g = 1 for f.
1
Suppose -53 = -17*k - 19. Suppose -3*r - 21 = -4*h, 0*r + 4*r + k = h. Solve 0 = -3*i + 6 + h for i.
4
Let r(q) = 8*q**2 + 15*q - 15. Let b be r(1). Solve -32 = -b*u - 0*u for u.
4
Let g(o) = -o - 3 - 3 + 1 + 1. Let m be -3*3 + -5 + 6. Let l be g(m). Solve j + j = -l for j.
-2
Suppose -4*d = 5*a - 58, -16*d = 2*a - 11*d - 13. Solve -11*o = -a*o - 15 for o.
-5
Let m = 255 - 252. Solve -m*f - 1 - 11 = 0 for f.
-4
Suppose 141*s - 144*s = -21. Solve -s*k = -2*k + 5 for k.
-1
Let z = -101 - -106. Solve -z*u - 3 = -18 for u.
3
Suppose 0 = -2*a + 4*w + 20, 3*a - 7*a + 2*w + 10 = 0. Let j = 3 + 2. Solve -4*d - d + j = a for d.
1
Suppose -3 = -2*t - 13. Let c be 4/6*(-2 - t). Solve 6 = -c*b - 0*b for b.
-3
Let f(m) = 7*m + 12. Let q(l) = -3*l - 6. Let c(x) = -2*f(x) - 5*q(x). Let u be c(6). Let h = 2 - -1. Solve -h*w - 3 = u for w.
-5
Let t(x) = x**3 + 10*x**2 + 12*x - 13. Let v(g) = -5*g**3 - 39*g**2 - 47*g + 52. Let o(k) = 9*t(k) + 2*v(k). Let n be o(13). Solve d - 3 = -n*d for d.
3
Suppose -f = -10 - 0. Suppose 2*a + 5*w - f = 0, 0*w + 3*w = 0. Suppose a*b = -4*v + 9, -2*b + 9 = 2*v - b. Solve -5*l + v + 4 = 0 for l.
2
Let k = 51 + -51. Let n(p) = -4*p + 3. Let v be n(k). Solve -l - v = -4 for l.
1
Let u = 335 - 335. Solve 9*s + 0*s - 36 = u for s.
4
Let m = -7 - -14. Let h be -1 - (-2 - -4 - m). Suppose -3*x + j + 12 = 0, -2*j = -h*x + j + 21. Solve -1 = -x*q + 14 for q.
5
Let l(o) = -4*o - 21. Let j be l(-6). Suppose -4*u + 5 = -p, j*p + 10 = 5*u - 5. Solve u = 4*v + 4 - 0 for v.
-1
Let w(r) be the second derivative of -r**4/12 - 4*r**3/3 + 11*r**2/2 + 23*r. Let d be w(-9). Solve -5*p + 15 = -d*p for p.
5
Suppose -2*z + 4*z + 18 = 2*t, 5*t - 2*z = 36. Suppose y + y = t. Let g be 2 - 1*(-3)/y. Solve g = 3*d - 6 for d.
3
Let g(a) = a**3 + 7*a**2 - 7*a + 8. Let h(w) = 3*w - 2. Let b be h(-2). Let s be g(b). Suppose 6 = 2*c, -2*z - 3*z = 2*c - 26. Solve s*i + z*i = 0 for i.
0
Suppose -12 = f + 3*f. Let y(d) = -49*d + 25*d + d**3 + 4*d**2 + 27*d. Let r be y(f). Solve -k = -r*k for k.
0
Let a be (2 - 3) + -4 + 17/1. Solve -2*t + a = -8*t for t.
-2
Suppose 0 = -5*w + 85 + 435. Suppose -10*s = -2*s - w. Let f = 20 + -18. Solve -f*r - s = -3 for r.
-5
Suppose -24 = -2*t + 2*x + 2*x, 3*t + 5*x + 19 = 0. Solve -2*h + 4*h = -t for h.
-1
Let t be 6 + (-42)/(36/6). Suppose 3*i = -2*p + 41, -2*p - 3*i - i = -46. Let b = p + t. Solve -2*c = 2*c + b for c.
-3
Suppose -19*h + 36 = -h. Solve -m = h - 1 for m.
-1
Let k be (-68)/15*-6 + 68/85. Solve k = m + 30 for m.
-2
Let h be (-1)/(-2)*3*(-40)/(-15). Solve 0 = -u + h*u for u.
0
Let j(f) = f**2 + 9*f + 3. Let o be j(-9). Suppose -2*n - 2*b = o*n - 17, 0 = n - 2*b - 13. Solve n*i + 4 = 3*i for i.
-2
Suppose 3*s = 5*t - 11, -3*s + s = 5*t - 26. Suppose -n + 5*o = -5, -3*n + 4*o + 16 - 12 = 0. Solve n*m = t*m for m.
0
Suppose -t - 21*t + 44 = 0. Solve -r - r = -t for r.
1
Suppose 0 = -x + 2 + 3. Suppose 0 = x*q - 25 - 40. Let k = q - 11. Solve k*s = -s for s.
0
Suppose 3*h = 2*l + 23 + 6, 0 = -5*h + 25. Let o = -7 - l. Suppose o = -3*j + 5*j - 80. Solve 15 - j = -5*k for k.
5
Let f = 2 + -6. Let y(a) = -a**3 - 3*a**2 + 5*a + 6. Let t be y(f). Let k be (t/(-4))/(1/(-6)). Solve 0 = -2*b - 1 - k for b.
-2
Suppose -10*c = -12*c + 30. Suppose 2*h + c = 7*h. Suppose -j = -2*y - 3, -h*j + 2*y = 2*j - 15. Solve 2 = f - j*f for f.
-1
Let c = 9 + -5. Let z be 18/c + 4/(-8). Suppose -6 = -r + 3*x, -3*r + 0*r - 2*x = z. Solve r*b + 4*b = 0 for b.
0
Let w(d) = -d**2 + 4*d + 2. Let o be 2*-3*(-24)/9. Suppose -5*c + 2*i - o = -44, -3*c - 3*i = 0. Let u be w(c). Solve -u*a - 6 = -4*a for a.
3
Let h be (10/15)/((-4)/(-18)). Suppose -3*m + 23 = -l + 4, 0 = -h*m + 5*l + 35. Suppose 0 = -m*k + 3*k. Solve -3*o + k*o = 0 for o.
0
Let d = -38 - -56. Suppose p - 4*p = -d. Let o be p*((-9)/(-6))/1. Solve 0 = -0*t + 3*t - o for t.
3
Let p be (-102 - -99) + (0/1 - -3). Solve 0*l - 3*l = p for l.
0
Let b be 0 + 3/(3/22). Suppose -5*l = 5, -i + l + b = -l. Solve -i = 4*v - 0 for v.
-5
Let d(t) = 3*t**2 + 174*t + 178. Let b be d(-57). Solve b = -21*j + 7 for j.
0
Let a be ((-19)/456*8)/(1/(-54)). Solve -a*b + 14*b = 16 for b.
-4
Let z = -224 - -234. Solve 6*m = 28 - z for m.
3
Suppose -2*a + a = -13. Suppose -15 = -4*s + a. Let k be 8/(-12) + 11/3. Solve 0 = 5*c - k - s for c.
2
Let m(x) = -x**3 - 4*x**2 - 3*x - 10. Let l be m(-4). Suppose 4*y = w + 20, 4*w - 4 - 6 = -l*y. Solve -y*z - 11 = 14 for z.
-5
Suppose -2*j + 742 = 522. Solve -u + 109 - j = 0 for u.
-1
Let g(l) = l**2 + l - 1. Let f be g(2). Let q(m) = -m. Let z(k) = -6*k + 9. Let h(n) = -5*q(n) + z(n). Let d be h(3). Solve 1 - d = -f*u for u.
1
Let p = 1394 - 1058. Solve 0 = 335*x - p*x - 2 for x.
-2
Suppose 517 + 123 = 8*m. Solve -m*k + 76*k - 12 = 0 for k.
-3
Let d(l) = -l**2 + 2. Let y be d(-2). Let v be (126/90)/(y/(-10)). Suppose -5*x + 5*o - v = -2, o = 1. Solve -4 = 4*j - x for j.
-1
Let h = 55 + -53. Suppose -h*j = -3*j + 3. Solve g - 4 = -j for g.
1
Suppose -789 = -20*w - 749. Suppose -u + t + 12 = 4, -4*t = 16. Solve w = -u*a + 3*a for a.
-2
Let v = 58 - 54. Suppose -4*p + v*q - 8*q + 24 = 0, 27 = 4*p + q. Solve -2*b + 3 = p for b.
-2
Let m be (-1 - 4) + 7 + 7. Solve m*i = 12*i + 3 for i.
-1
Suppose 4*r - 20 = 3*n, 14*n - 5 = -r + 10*n. Solve 0*g = 5*g - r for g.
1
Suppose 12*a = 8*a + 260. Suppose 69*z - a*z = 12. Solve p + z = 7 for p.
4
Let s be 11 + (7 - (-1 - -2)). Solve 4*l + s = 37 for l.
5
Let u be (9 - 5/1) + 0. Let s = -5 - -8. Let w be (s + (0 - u))*-3. Solve -2 = c + w for c.
-5
Let a(v) = v**3 - 20*v**2 + 34*v + 40. Let g be a(18). Solve -3*j + g = 16 for j.
-4
Let a(z) = z**3 - 4*z**2 + 12*z - 25. Let k be a(3). Solve 11*p = k*p for p.
0
Suppose -2*h = -2*c - 154, 2*c + h + 2*h + 154 = 0. Let q be (22/c)/((-1)/7). Solve q*a - a + 5 = 0 for a.
-5
Let l(r) = -2*r**3 - 2*r**2 + 3*r + 2. Let w be l(-2). Let f = 4 - 3. Solve -w*i = -f - 3 for i.
1
Suppose 9*v - 4*c = 5*v + 8, -3*v + 18 = c. Let i be (2/5)/(1/5). Solve i*s = -3 - v for s.
-4
Let z be 15/(60/(-16)) - -39. Solve -z*k - 58 - 12 = 0 for k.
-2
Suppose 5*i + 20 = 7*i. Suppose 3*p = -2*p + i. Let t be (-2 + 2 + 0)/p. Solve -3*v + v = t for v.
0
Let t be 14/7*6/4. Let c(l) = -l - 6. Let u be c(7). Let d = -13 - u. Solve d = t*j - 2*j + 5 for j.
-5
Let b be -19 + (-3)/(3 + -6). Suppose -5*m - 5*k + 65 = 0, m - 79 = -2*m + 5*k. Let r = b + m. Solve 2*y + 2*y + 20 = r for y.
-5
Let h
|
{
"pile_set_name": "DM Mathematics"
}
|
t n(y) = 6*h(y) - 5*q(y). Determine n(v(m)).
420*m**2
Let i(o) = -o**3 + 3*o**2 + 8*o - 16. Let y be i(4). Let m(s) = 9*s**2 - 5*s**2 + y*s**2. Let u(l) = 0*l - 2*l + l + 2*l. Calculate u(m(a)).
4*a**2
Let v(c) = -2*c**2. Let z(u) = 1213673*u. What is z(v(h))?
-2427346*h**2
Let d(a) = 19*a**2. Let m(p) = -511532*p**2. Calculate d(m(u)).
4971634753456*u**4
Let q(p) = 3*p + 6*p - 3*p - 12*p. Let j(l) be the first derivative of -2*l**3/3 - 1. What is j(q(f))?
-72*f**2
Let m(s) be the first derivative of 5*s**3 + 2*s - 1523. Let a(k) = 3*k - 19. Give m(a(b)).
135*b**2 - 1710*b + 5417
Let c(v) be the first derivative of 0*v + 1/2*v**2 + 8. Let b(p) = 10 + 31*p**2 - 6 - 13 + 9. Determine c(b(k)).
31*k**2
Let r = 389 - 378. Let m(p) = -5*p**2 + 859 - 859 - r*p**2. Let y(b) = -6*b**2. Give m(y(k)).
-576*k**4
Let c(o) = -2*o + 53. Suppose 40*j = 30*j. Let h(w) = -6 + 9 + j*w + w - 3. What is c(h(b))?
-2*b + 53
Let h(m) = 12467*m**2 + 606*m - 197*m - 202*m - 207*m. Let f(y) = 2*y**2. Calculate f(h(o)).
310852178*o**4
Let r(m) = m. Let w(a) = a**2 - a. Let q(c) = c**3 + 6*c**2 - 6*c + 45. Let f(s) = q(s) - 6*w(s). Let h(p) be the first derivative of f(p). Give r(h(j)).
3*j**2
Let r(w) = -38*w**2 - 2*w. Let d(q) = -10554752*q. Calculate d(r(n)).
401080576*n**2 + 21109504*n
Let x(o) = -83*o. Let q(j) be the second derivative of j**6/120 + 69*j**4/4 - 21*j + 3. Let g(r) be the third derivative of q(r). Determine x(g(a)).
-498*a
Let i(x) be the third derivative of 981*x**4/8 - x**2 + 258*x. Let r(b) = 2*b**2. Give i(r(v)).
5886*v**2
Let c(h) = -15*h. Let i(r) be the first derivative of 22*r**2 - 1451. What is c(i(s))?
-660*s
Let w(i) be the second derivative of -47*i**4/12 - 38*i - 3. Let y(k) = 6*k**2. Determine w(y(p)).
-1692*p**4
Let x(y) = -9*y + 7. Let f = 178 + -176. Let r(w) = -4*w**2 - 5*w**f + 10*w**2 - 2*w**2. What is x(r(c))?
9*c**2 + 7
Let k(j) = 142*j**2. Let m(p) = -p - 15. Let f(i) = 27. Let y(w) = 5*f(w) + 9*m(w). Determine k(y(z)).
11502*z**2
Let b(a) = a. Let x(o) = -641*o - 1088*o - 701*o. Calculate x(b(t)).
-2430*t
Let f(n) = -n**3 + n**2 + 6*n + 5. Let s be f(-2). Suppose -1416 = -3*t - s*t. Let o(v) = -t*v + 177*v - v**2 + 0*v**2. Let d(a) = -4*a**2. Calculate o(d(k)).
-16*k**4
Let c(t) = -609543*t. Let v(s) = -9*s. Calculate c(v(k)).
5485887*k
Let d(v) = 5*v. Let o = 135 + -271. Let y be o/(-14) + 6/21. Let n(g) = -g - 424 + 424 - y*g. Determine n(d(z)).
-55*z
Let b(l) = -l - 111. Let z(p) = -2*p - 249. Let c(m) = 9*b(m) - 4*z(m). Let g(n) = -19*n. Give g(c(d)).
19*d + 57
Let d(g) = -2*g**2 + 3548*g. Let k(l) be the third derivative of -l**4/8 + 120*l**2 - 6. Determine k(d(t)).
6*t**2 - 10644*t
Let k(c) = 191*c. Let q(o) = -o - 20. Let p(y) = -y - 24. Let m(v) = 13*v + 8. Let u be m(-1). Let z(d) = u*p(d) + 6*q(d). What is k(z(g))?
-191*g
Let p(b) be the third derivative of b**5/30 + 2901*b**2. Let t(v) = -4*v**2 + 47*v. Determine p(t(q)).
32*q**4 - 752*q**3 + 4418*q**2
Let q(s) = -4*s**2. Suppose -3*f + 430 = -29. Let d(t) = f + 149 - 7*t - 302. What is q(d(i))?
-196*i**2
Let i be 9/(-5)*5*1/(-3). Let h(w) be the second derivative of -3/2*w**4 - 26*w + 0*w**2 + 0 + 0*w**i. Let u(v) = -3*v**2. What is u(h(b))?
-972*b**4
Let q(n) = -7*n**2. Let v(s) = s**3 + 8*s**2 - 11*s - 5. Let z be v(-9). Suppose 0 = 4*c + 5 - z. Let d(p) = p - 3*p + 2*p + c*p. Give d(q(x)).
-14*x**2
Let q(a) = -351*a. Let w(z) = -843*z. Let v(h) = -12*q(h) + 5*w(h). Let u(x) = -2*x - 3507. Give u(v(f)).
6*f - 3507
Let v(t) = 6*t + 32916. Let w(b) = -245*b + 4. Calculate w(v(p)).
-1470*p - 8064416
Let y(r) = 46*r - 49*r + 3*r + 69*r**2. Let i(t) = 5*t**2. Determine i(y(o)).
23805*o**4
Let a(t) = 70*t + 1260. Let g be a(-18). Let b(s) be the first derivative of -5/3*s**3 + 0*s + g*s**2 + 4. Let d(m) = 2*m**2. Calculate d(b(l)).
50*l**4
Let h(d) = -62*d**2. Let c(u) be the second derivative of u**6/240 - 91*u**4/12 + 47*u. Let p(z) be the third derivative of c(z). What is p(h(j))?
-186*j**2
Let r(i) = 5*i**2. Let f be ((-40)/70)/(2/(-7)). Let t(s) = 19*s**2 + 16*s**f - 71*s**2. Give t(r(a)).
-900*a**4
Let y(g) be the third derivative of 1/10*g**5 - 2*g**2 + 0*g**3 + 0*g**4 + 0 + 0*g. Let n(s) be the third derivative of -s**5/60 - 2024*s**2. Calculate n(y(b)).
-36*b**4
Let a(t) = -t. Let n(h) be the second derivative of h**4/24 - 6*h**2 - 3*h - 13. Let i(r) be the first derivative of n(r). Calculate i(a(b)).
-b
Let c(g) = -g. Let u(z) be the second derivative of -403/6*z**3 + 0 + 5*z + 0*z**2. Calculate c(u(v)).
403*v
Let t(g) be the second derivative of 7*g**4/12 + 2*g**2 - 16*g + 5. Let h(x) = 57*x**2. What is h(t(p))?
2793*p**4 + 3192*p**2 + 912
Let a(g) = -8*g. Let u(q) = 17*q + 4 - 38*q + 1 + 18*q. Let t(l) = -l + 1. Let d(v) = 10*t(v) - 2*u(v). Give d(a(r)).
32*r
Let f(v) = 0*v + 0*v + 5*v**2. Let k(o) be the second derivative of o**6/90 - 6*o**3 + 71*o - 1. Let u(w) be the second derivative of k(w). Give u(f(d)).
100*d**4
Let x(n) = -2*n**2. Let t(s) = -120*s**2. Let a(g) = 2*t(g) - 112*x(g). Let y(v) be the first derivative of -4*v**3/3 - 4. Give y(a(r)).
-1024*r**4
Let j(u) = -10*u - 2530. Let o(c) = -11. Let p(b) = -5*j(b) + 1150*o(b). Let i(d) = 132*d. Calculate i(p(y)).
6600*y
Let m(n) = -20*n. Let d(y) = -36*y + 12. Suppose 328 = 5*o + 323. Let b(c) = c**2 + 3*c - 1. Let g(r) = o*d(r) + 12*b(r). Give g(m(h)).
4800*h**2
Let h(t) be the third derivative of 173*t**5/60 - 32*t**2 - 25*t. Let l(n) = 23*n. Give l(h(a)).
3979*a**2
Let b(d) = -134*d. Let q(z) = -2*z**2 - 2*z + 2207. Give b(q(f)).
268*f**2 + 268*f - 295738
Let q be ((-54)/(-5))/(7 - (-238)/(-35)). Let v(l) = q*l + 49*l - 60*l. Let c(h) be the third derivative of -h**5/30 - 3*h**2. Give v(c(w)).
-86*w**2
Let s(g) = 5*g**2. Let o(v) = 29048982*v**2 + v + 2. What is o(s(z))?
726224550*z**4 + 5*z**2 + 2
Let d(o) = -5 + 5 - 4*o**2. Let p(i) be the second derivative of 8*i**3/3 + 56528*i. Calculate p(d(j)).
-64*j**2
Let n(b) = -6*b**2 - 470*b - 552*b + 1179*b. Let a(f) = -3*f. Give a(n(t)).
18*t**2 - 471*t
Let k(z) = z**2 - 27*z. Let p = -114 - -137. Let f(l) = -20*l + p*l - 4*l. Determine f(k(r)).
-r**2 + 27*r
Let o(m) = -7*m**2 + m - m. Let t = -366 - -368. Let h(k) = -21 + 6 - k**t + 15. Give h(o(j)).
-49*j**4
Let d(l) = 3*l**2 + 13*l - 763. Let t(p) = -p**2 + 1. Determine d(t(j)).
3*j**4 - 19*j**2 - 747
Let c(q) = -2*q**2. Let m(t) be the second derivative of 1 + t**2 + 1/2*t**4 - 12*t + 0*t**3. Give m(c(z)).
24*z**4 + 2
Let p(a) = a + 2069. Let b(m) = 1183*m - 1. Give b(p(r)).
1183*r + 2447626
Let t(f) = f**3 + 21*f**2 + 20*f + 4. Let p be t(-20). Let l(b) = -p*b - 2*b + 8*b. Let x(n) be the first derivative of 2*n**3 - 3. What is x(l(j))?
24*j**2
Let d(o) = 7*o. Let j(p) = -481 + 135*p**2 + 707*p - 707*p - 137*p**2. Determine d(j(a)).
-14*a**2 - 3367
Let m(d) = -34531*d. Let p(h) = 206*h**2 - 2. Determine m(p(g)).
-7113386*g**2 + 69062
Let b(v) = 224*v**2 + 10. Let q(s) = 101 - 48 - 75*s**2 - 56. Let u(t) = -3*b(t) - 10*q(t). Let p(f) = 2*f**2. Give p(u(c)).
12168*c**4
Let t(x) = -24172*x. Let w(l) = -11*l + 13. Calculate w(t(n)).
265892*n + 13
Let m(s) = -23072*s**2. Let y(b) = -330*b**2. Give y(m(p)).
-175664670720*p**4
Let v(n) be the first derivative of -n**2 - 906. Let c(i) = 213*i. Calculate c(v(g)).
-426*g
Let j(g) = -12*g**2 + 31 - 60 + 29. Let i(c) = -6*c - 40. Let v(y) = -20. Let d(u) = i(u) - 2*v(u). Calculate j(d(z)).
-432*z**2
Let l(g) = 4*g + 22. Let y(h) = -23*h - 121. Let r(i) = 11*l(i) + 2*y(i). Let d(a) = 80*a - 11. Calculate r(d(v)).
-160*v + 22
Let a(v) = v**2. Let p(z) = -8*z + 65. Let d(i) = 7*i - 44. Let g(u) = -4*d(u) - 3*p(u). Determine g(a(s)).
-4*s**2 - 19
Let k(d) be the second derivative of 0*d**2 - 5/3*d**3 + 2*d + 0. Let t(w) be the second derivative of -w**3/3 + 15*w. Determine t(k(s)).
20*s
Let h(p) be the first derivative of -4 + 189/2*p**2 - 21*p. Let l(i) = 19*i - 2. Let r(y) = 2*h(y) - 21*l(y). Let k(z) = -z**2. Determine k(r(m)).
-441*m**2
Let m(t) = 0*t**2 + 0*t**2 + 2*t**2. Let b(f) = 130*f**2 + 13*f - 156. Let x(c) = -22*c**2 - 2*c + 24. Let r(j) = -2*b(j) - 13*x(j). Calculate r(m(h)).
104*h**4
Let b(j) = -2*j**2 + 432*j - 16. Let m(i) = 4*i. What is m(b(q))?
-8*q**2 + 1728*q - 64
Let a(g) be the second derivative of g**3/6 + 49*g + 65. Let i(m) = -30*m
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 - 3*j**2 + j - 1. Give n(-3).
-4
Let d(b) = 3*b**2 - b - 7. Calculate d(0).
-7
Let n(c) = c**3 + c**2 - 5*c + 11. Determine n(5).
136
Let h(i) = i**3 + 4*i**2 - i - 7. What is h(-5)?
-27
Let i(m) = -2*m**2 - 12*m + 5. What is i(-6)?
5
Let o(t) = -t**3 + 21*t**2 - 3*t + 66. Give o(21).
3
Let f(z) = 10*z + 205. Calculate f(-20).
5
Let i(c) = -3*c - 14. Give i(-27).
67
Let h(l) = 4*l**2 - 2*l - 3. Calculate h(3).
27
Let v(a) = a**3 + 4*a**2 - 16*a - 18. Calculate v(-6).
6
Let b(v) = v**3 - 6*v**2 - 14*v - 17. Calculate b(8).
-1
Let d(x) = 2*x**2 + 57*x + 192. What is d(-4)?
-4
Let c(d) = 3*d + 19. Determine c(-6).
1
Let n(h) = h**3 + 22. Determine n(0).
22
Let t(s) = -s**2 + 42*s - 300. What is t(33)?
-3
Let p(h) = -h**3 + 7*h**2 - 6*h - 13. Calculate p(5).
7
Let g(h) = -h**3 + 2*h**2 - 5*h + 4. Determine g(3).
-20
Let o(g) = g**3 + g**2 - g + 8. Calculate o(0).
8
Let j(k) = -k**3 + 8*k**2 + 51*k - 35. Calculate j(12).
1
Let v(t) = 2*t**3 + 5*t**2 - 6*t - 5. What is v(-3)?
4
Let a(b) = b**2 - 22*b - 28. Calculate a(23).
-5
Let l(v) = 107*v + 316. Give l(-3).
-5
Let s(y) = y**3 + 29*y**2 + 30*y + 81. Determine s(-28).
25
Let b(v) = v**2 - 6*v - 24. Give b(0).
-24
Let k(u) = u + 70. Give k(0).
70
Let c(f) = f**3 - 7*f**2 + 2*f - 10. Determine c(7).
4
Let d(m) = m**2 + 74*m - 311. Calculate d(4).
1
Let u(d) = -2*d**2 - 5*d - 1. Give u(4).
-53
Let d(i) = -6*i + 6. Give d(-6).
42
Let l(i) = i**2 - 11*i + 7. Determine l(7).
-21
Let c(a) = -11*a**3 + 2*a**2 - a + 1. What is c(2)?
-81
Let f(r) = r**3 - 27*r**2 + 54*r - 103. Calculate f(25).
-3
Let y(q) = q**3 + 14*q**2 + 13*q - 11. Determine y(-13).
-11
Let p(a) = 3*a**2 + 45*a + 141. Determine p(-10).
-9
Let c(b) = 4*b**2 + 2*b - 1. Give c(-2).
11
Let u(m) = -53*m**2 - m. What is u(-1)?
-52
Let k(m) = m**3 - 4*m**2 + 4*m - 7. Determine k(3).
-4
Let x(y) = y**3 + 17*y**2 + 18. What is x(-17)?
18
Let n(o) = 23*o**3 - 2*o**2 + o. Determine n(1).
22
Let s(l) = -l**3 + 56*l**2 - l + 56. Give s(56).
0
Let x(t) = -t**2 + 20*t + 45. What is x(20)?
45
Let s(f) = -f**3 - 12*f**2 + 25*f - 44. Determine s(-14).
-2
Let d(q) = -q**2 - 23*q + 4. What is d(-23)?
4
Let t(n) = n**2 - 19*n + 1. Determine t(9).
-89
Let m(a) = -12*a**3 - a**2 + 1. Determine m(-1).
12
Let p(f) = f**3 - 16*f**2 - 36*f - 5. Give p(18).
-5
Let j(y) = y**3 - 12*y**2 + 15*y + 14. Give j(11).
58
Let o(q) = -q**2 + 24*q - 39. Give o(17).
80
Let n(p) = -p**2 + 13*p - 1. What is n(12)?
11
Let f(n) = 7*n**3 + 36*n**2 - n - 34. Calculate f(-5).
-4
Let t(q) = q**2 + 6*q + 32. Calculate t(-8).
48
Let x(d) = d**2 - 6*d - 7. Determine x(6).
-7
Let o(s) = s**3 - 7*s**2 + s - 73. Calculate o(8).
-1
Let t(k) = 12*k**3 - k**2 + k + 1. Calculate t(-1).
-13
Let t(d) = -d**3 + 16*d**2 - 13*d - 44. Give t(15).
-14
Let c(n) = -13*n - 2. Calculate c(-6).
76
Let i(s) = 59*s - 2. Calculate i(3).
175
Let f(a) = -2*a + 18. Determine f(-6).
30
Let t(p) = 14*p - 55. Determine t(6).
29
Let i(u) = -u**2 + 4*u + 2. Calculate i(5).
-3
Let p(c) = -6*c - 22. Determine p(-5).
8
Let m(r) = r**2 - 9*r - 23. Determine m(10).
-13
Let q(p) = -p**3 - p**2 + 3*p + 4. Give q(-3).
13
Let u(p) = -11*p**2 - 3*p + 3. Determine u(1).
-11
Let w(b) = -13*b**2 + 3. Give w(-1).
-10
Let w(h) = 6*h**2 + 2*h + 3. What is w(-1)?
7
Let c(z) = z**2 + 4*z + 4. What is c(-6)?
16
Let v(l) = -2*l**2 + 16*l - 46. Determine v(3).
-16
Let p(t) = -t**3 + 11*t**2 - 12*t + 8. Determine p(10).
-12
Let a(d) = -d**3 + 11*d**2 - d + 12. Determine a(11).
1
Let x(z) = -z - 16. What is x(12)?
-28
Let g(n) = 6*n + 35. Give g(-6).
-1
Let m(w) = 2*w**2 + 4*w - 6. Determine m(2).
10
Let k(i) = -6*i - 27. Give k(-19).
87
Let g(p) = 2*p**2 + 2*p + 14. Determine g(6).
98
Let a(u) = u**2 + 6*u + 4. Determine a(0).
4
Let v(o) = o**3 - 2*o**2 - 20*o - 27. What is v(6)?
-3
Let b(z) = z**2 + 5*z - 48. Calculate b(-10).
2
Let i(p) = -p**3 + 5*p**2 + 5*p + 5. Determine i(6).
-1
Let y(t) = -t**2 - 3*t + 20. What is y(8)?
-68
Let i(l) = l**3 - 12*l**2 + 4*l - 54. Determine i(12).
-6
Let h(l) = -l**2 + 33*l + 376. Calculate h(42).
-2
Let o(h) = -11*h + 2. Give o(2).
-20
Let s(z) = z**3 - 6*z**2 - 2*z - 4. Calculate s(6).
-16
Let n(f) = f**3 + 17*f**2 + 40*f + 2. What is n(-3)?
8
Let s(p) = 12*p**3 - 3*p**2 - 2*p + 2. Give s(-2).
-102
Let u(v) = 18*v + 1. Determine u(1).
19
Let r(n) = -n**3 - 2*n**2 + 2*n - 2. What is r(3)?
-41
Let q(c) = 51*c - 619. Determine q(12).
-7
Let k(d) = 6*d + 63. Determine k(-10).
3
Let p(i) = i**2 - 25*i - 27. Calculate p(26).
-1
Let n(g) = -3*g - 45. What is n(-19)?
12
Let o(m) = 8*m + 11. Calculate o(-10).
-69
Let a(r) = -9*r**2 + 4. Give a(-1).
-5
Let g(x) = 15*x + 17. Give g(-6).
-73
Let o(t) = -t**2 - 23*t - 10. Calculate o(-22).
12
Let i(d) = d**3 + 3*d**2 - d + 1. What is i(-4)?
-11
Let y(m) = -2*m**3 - 15*m**2 + 5*m - 1. Calculate y(-7).
-85
Let p(c) = c**3 + 8*c**2 - 4*c + 7. Calculate p(-8).
39
Let d(q) = 5*q - 32. What is d(19)?
63
Let h(g) = -g**2 - 2*g - 5. Calculate h(-6).
-29
Let v(n) = -8*n + 13. What is v(4)?
-19
Let p(q) = -q**2 + 5*q + 3. What is p(9)?
-33
Let n(q) = 2*q**2 + 12*q + 2. Give n(-6).
2
Let h(v) = -v**3 - 8*v**2 + 3*v - 67. Give h(-9).
-13
Let t(a) = -a + 41. Give t(9).
32
Let s(p) = p**3 - 28*p**2 + 14. Give s(28).
14
Let c(o) = -o**2 - 9*o + 1. Give c(-6).
19
Let g(r) = 2*r**3 - 13*r**2 + 22*r - 8. Determine g(4).
0
Let j(b) = 2*b**2 + 8*b + 10. What is j(-4)?
10
Let l(j) = -163*j - 174. What is l(-1)?
-11
Let y(p) = p**2 + 13*p - 14. What is y(-15)?
16
Let u(z) = -7*z - 216. Calculate u(-25).
-41
Let z(o) = -11*o + 62. Determine z(4).
18
Let n(u) = 3*u**2 + 17*u + 21. What is n(-8)?
77
Let d(c) = c**2 + 17*c - 14. What is d(-10)?
-84
Let r(i) = i**3 - 10*i**2 - 22*i - 11. Determine r(12).
13
Let w(t) = -30*t + 37. Determine w(1).
7
Let j(a) = -2*a**2 - 19*a + 16. Determine j(-11).
-17
Let i(d) = 4*d**3 + 58*d**2 - 28*d + 28. Determine i(-15).
-2
Let g(u) = u**3 - 7*u**2 + 10*u - 7. What is g(6)?
17
Let h(p) = -p**2 - 23*p - 114. Give h(-17).
-12
Let y(p) = 9*p**3 + p**2 + 4*p + 3. Calculate y(-1).
-9
Let b(u) = 2*u**2 + 1. What is b(-2)?
9
Let v(p) = -p**3 + 7*p**2 + 6*p - 2. Determine v(8).
-18
Let d(t) = 32*t**3 + 1. Determine d(-1).
-31
Let l(h) = h**2 + 14*h + 16. Determine l(-12).
-8
Let h(m) = -m**2 + 13*m - 37. What is h(9)?
-1
Let j(b) = -2*b**3 - 5*b**2 - 2*b + 1. Determine j(-3).
16
Let g(p) = -37*p - 2842. Calculate g(-77).
7
Let c(k) = -k**2 - 5*k - 1. Calculate c(-4).
3
Let g(a) = -3*a**2 - 38*a - 106. What is g(-7)?
13
Let p(l) = l**2 + 3*l + 13. Give p(-4).
17
Let c(u) = u**3 - 10*u**2 + 10. Determine c(10).
10
Let b(d) = d**2 - 12*d + 10. Determine b(12).
10
Let r(b) = -b**2 - 26*b - 97. What is r(-5)?
8
Let m(i) = i**3 - 17*i**2 - 39*i + 8. Determine m(19).
-11
Let k(i) = i**3 + 15*i**2 - 21*i - 69. What is k(-16)?
11
Let n(d) = d**2 + 16*d + 25. Give n(-14).
-3
Let k(z) = z**2 - 9*z + 12. Determine k(7).
-2
Let l(c) = -c**3 - 27*c**2 - 53*c - 61. What is l(-25)?
14
Let c(a) = a**3 - 11*a**2 - 17*a + 14. Determine c(12).
-46
Let d(c) = -8*c**2 + 1. Calculate d(-2).
-31
Let l(a) = 15*a + 26. Give l(-2).
-4
Let b(w) = -w**2 - 5*w - 1. Determine b(-6).
-7
Let u(x) = -x**2 - 10*x - 6. Calculate u(-9).
3
Let x(h) = 5*h**3 + 8*h**2 - 9*h + 2. Calculate x(1).
6
Let z(i) = i**3 - i**2 + i - 10. Give z(0).
-10
Let t(f) = -f**3 - 17*f**2 + 4*f + 34. Give t(-17).
-34
Let t(d) = 6*d**2 - 8*d - 1. Give t(4).
63
Let g(a) = 97*a - 679. What is g(7)?
0
Let c(a) = a**3 + 7*a**2 + 5*a - 1. Calculate c(-6).
5
Let z(r) = -r**3 + 14*r**2 + 14*r + 21. Determine z(15).
6
Let c(q) = -q**2 + 2*q - 1. Calculate c(1).
0
Let j(u) = 3*u**2 - u. Give j(-2).
14
Let b(w) = -w**2 + 23. Calculate b(4).
7
Let g(l) = -2*l**2 - 2*l + 12. Calculate g(-4).
-12
Let q(f) = 99*f**2 - 17*f - 16. Give q(-1).
100
Let t(k) = -7*k**3 - 1. Give t(-1).
6
Let y(r) = r**3 - 16*r**2 - 2*r + 53. Determine y(16).
21
Let j(l) = -l**3 + l**2 + 4*l - 1. What is j(-3)?
23
Let i(p) = p**2 - p - 16. What is i(0)?
-16
Let u(w) = -62*w - 122. Give u(-2).
2
Let n(z) = -8*z - 3. Calculate n(-1).
5
Let g(s) = -23*s + 165. Give g(10).
-65
Let u(p) = -p**2 + 20*p - 71. What is u(17)?
-20
Let l(f) = -2*f**3 - 45*f**2 - 24*f - 41. Calculate l(-22).
3
Let k(f) = 15*f - 27. What is k(-7)?
-132
Let f(l) = -l**2 + 9*l +
|
{
"pile_set_name": "DM Mathematics"
}
|
pose m*z - 88 = 82. What is the remainder when 49 is divided by z?
15
Suppose 0 = -5*d - j - j - 51, -j - 3 = 0. Calculate the remainder when 18 is divided by (-1)/(-9)*-10*d.
8
Let j(o) = -o - 3. Let i be j(0). Let b = i - -8. Suppose -5*u + 0*u + b*f + 65 = 0, -17 = -u + 5*f. What is the remainder when 22 is divided by u?
10
Suppose 19*x - 1385 = 1465. Calculate the remainder when 738 is divided by x.
138
Let l be 6/10 - (-82)/5. Suppose -l - 1 = -2*t. Calculate the remainder when 36 + -1 + (-2 - -2) is divided by t.
8
Let s(o) = -15*o + 630. What is the remainder when 310 is divided by s(33)?
40
Suppose -19*x + 235 = 26. Suppose -5*o + 36 = -14. Suppose -w + o = n, -4*n - w = -0*w - 28. What is the remainder when x is divided by n?
5
Let w = -6802 + 6832. Let r = -1 + 5. Suppose 0 = 3*c - 8*c + 2*n + 48, r*n = c - 24. Calculate the remainder when w is divided by c.
6
Let y = 424 - 257. Calculate the remainder when y is divided by 8.
7
Suppose 4*t + a - 76 = 5*a, 3*t - a - 53 = 0. What is the remainder when 184 is divided by t?
14
Let m(g) = g**3 + 8*g**2 - 3*g - 65. Calculate the remainder when 7 is divided by m(-7).
2
Calculate the remainder when 40 is divided by (-1)/((-2)/(-19))*-2 - 0.
2
Let h = -55 - -80. Calculate the remainder when h is divided by (-99)/(-6) + 6/4.
7
Suppose -h = 5*h - 150. Suppose -3*v + 100 = 2*z, -z = 2*v - 3*v + h. Calculate the remainder when 117 is divided by v.
27
Suppose 2*x + 118 = 462. What is the remainder when x is divided by 44?
40
Suppose 0 = -29*z + 26*z + 6. Suppose -h = -z*c - 14, 36 = 4*h - 5*c - 11. What is the remainder when 87 is divided by h?
7
Suppose -j = -0*j + p - 41, -3*p - 197 = -5*j. Suppose -3*n = -7*n + j. Calculate the remainder when 37 is divided by n.
7
Calculate the remainder when (236/6 + 2)*333/222 is divided by 35.
27
Let f = -27 + 239. Calculate the remainder when f is divided by 54.
50
Calculate the remainder when 62 is divided by 1/(-2) + (-1386)/(-84).
14
Suppose 0 = -s + 4*n + 11, 2*n = 4*s - 3*n. Suppose -4*u = -1566 + 1502. Calculate the remainder when u is divided by 104/10 + 2/s.
6
Suppose 7*d - 210 = 2*d. Suppose 0 = h - 4 - d. What is the remainder when h is divided by (48/72)/(((-1)/54)/(24/(-36)))?
22
Suppose 1 = -2*b + 9. Let t(q) = 2*q - 3. Let j be t(b). Suppose -j*u + u = -92. Calculate the remainder when 44 is divided by u.
21
Suppose -2*m + 25 = -3*x + 65, -3*m - 2*x = 60. What is the remainder when 5/m - (-325)/4 is divided by 6?
3
Let o(i) = i**3 - 8*i**2 + 9*i - 2. Let m be o(4). Let n = -13 + 26. Calculate the remainder when n is divided by 60/50*m/(-9).
1
Let l(x) = 77*x + 1. Let c be (20/(-8))/((-2)/(-4)). Calculate the remainder when l(1) is divided by 4 + (11 - c/(-1)).
8
Let n(r) = 2*r**3 + 11*r**2 - 19*r - 7. Calculate the remainder when 354 is divided by n(-6).
70
Suppose -2*u = n + 6, 0 = 4*u + u + 4*n + 12. Let s = u + 26. What is the remainder when s is divided by (0 - 6)/(1*-1)?
4
Suppose 5*h - 3*w = 23, 3*h + 0*w = 2*w + 13. Suppose 4*z = 2*v + v + 4, 4*v - 5*z = -4. Let r = h + v. What is the remainder when r is divided by 5?
1
Let l be 2/4 - 14/(-4). Suppose -14*j + 4*j = -20. Suppose 2*h = -j + l. Calculate the remainder when 2 is divided by h.
0
Suppose 486*t + 246 = 527*t. Let p be (6/(-4))/((-2)/8). What is the remainder when t is divided by (-4)/p*-2*3?
2
Suppose -3*v + c + 0*c + 59 = 0, 2*v + 3*c - 43 = 0. Let o(a) = 2*a + 5. Suppose -6*n = -0*n - 18. Calculate the remainder when v is divided by o(n).
9
Calculate the remainder when (14/28)/(3/(81*4)) is divided by 12.
6
Let r = -11 - -28. Suppose 0 = 47*f - 50*f + 15. What is the remainder when r is divided by f?
2
Let h = 2470 - 2204. Calculate the remainder when h is divided by 94.
78
Suppose 0 = 5*i - 5*x - 85, 79 = 3*i + 5*x + 4. What is the remainder when 417 is divided by i?
17
Suppose -s + 2*s = 3*p + 5, 13 = s + 5*p. Suppose 0*c + 2*c - 82 = 5*u, 2*c - u = 66. Calculate the remainder when c is divided by s.
7
Suppose 2*y + 5*k = -50, -3*y - 3*k - 41 = 16. Let r = 23 + y. What is the remainder when 29 is divided by r?
5
Suppose 55*n - 2911 = 14*n. What is the remainder when 139 is divided by n?
68
Suppose 7*d - 4*d = 15. Suppose -3*v + 396 = d*i, -3*i - 7*v + 242 = -3*v. What is the remainder when i is divided by 20?
18
Suppose 4*g + 35 = 3*l - 73, -5*g - 72 = -2*l. Calculate the remainder when l is divided by 20.
16
Let i(u) = 9*u + 6. Let r(f) = -f**2 - 10*f + 13. Let c(m) = m**2 - 5*m - 10. Let d be c(5). Calculate the remainder when i(5) is divided by r(d).
12
Let l(p) = p**2 + 8*p + 17. What is the remainder when l(-16) is divided by 37?
34
Suppose 2*h - n + 3 = -0, 0 = n - 3. Suppose 3*i - 10 - 14 = h. Suppose -i*j + 2*j = -420. What is the remainder when j is divided by 12?
10
Let x be 2*23 - (1 - -3). Let p be (-2)/(x/(-40) - -1). Suppose -p = -4*j - 4. Calculate the remainder when j is divided by 6.
3
Suppose 3*q + 34 = 5*f - 187, 3*f - 150 = -4*q. What is the remainder when f is divided by 8?
6
Suppose 5*o - 3*u = 22, -3*o = -0*u - 3*u - 18. Suppose 4*t + 2*h - 58 = 0, 3*t = o*h + 46 + 15. Calculate the remainder when t is divided by 9.
8
Suppose 3 = m + 5, 5*x = -4*m + 367. Let u = x - 25. Calculate the remainder when u is divided by 17.
16
Let n = -5 + 8. Suppose 517 - 52 = n*x. Suppose 0 = -21*t + 26*t - x. What is the remainder when t is divided by 8?
7
Let u = 70 - -7. Suppose 130 = 205*z - 3150. Calculate the remainder when u is divided by z.
13
Suppose 0 = -14*s + 18*s - 280. What is the remainder when s is divided by 7?
0
Let b be (6/(-10))/(26/(-260)). Let y = 11 - b. What is the remainder when y is divided by 2?
1
Let f(l) = -12*l**2 - 12. Let u be f(3). Calculate the remainder when 75/4*u/(-45) is divided by 13.
11
Let p be (-1)/1 - (-1 + -3). Let b(f) = -7 + 3*f + 2*f + 0*f**3 - f**p - 8*f**2. What is the remainder when 114 is divided by b(-9)?
27
Suppose n + n + 540 = 0. Calculate the remainder when 59 is divided by 1/3*n/(-6).
14
Calculate the remainder when (-242)/(-2) + ((-50)/10 - -10) is divided by 68.
58
Suppose 0 = -5*x + 11 - 6. Let u(z) = 11*z**3 - z**2 + z - 1. Calculate the remainder when 27 is divided by u(x).
7
Let w be (-1392)/(-20) + (-6)/(-15). Suppose -3*r + 13*r = w. What is the remainder when 39 is divided by r?
4
Suppose 8*f - 6*f = 0, -2*i = -2*f - 14. Suppose i + 4 = o. Calculate the remainder when 51 is divided by o.
7
Suppose 5*g - 6 = 4, 2*d + 222 = 5*g. Let s = -59 - d. Calculate the remainder when s is divided by 7.
5
Let m(r) = r + 17. Let d be m(-15). Suppose -d*q + 4*p + 100 + 34 = 0, 216 = 4*q + 5*p. What is the remainder when q is divided by 15?
14
What is the remainder when 16 is divided by ((-340)/(-408))/(3*3/108)?
6
Let m(c) = 25*c**2 - 8 - 23*c**2 + 7 + 2*c**3. Calculate the remainder when m(2) is divided by 5.
3
What is the remainder when (9/(-18)*4)/(4/(-170)) is divided by 23?
16
Let k(t) = -t**2 + 22*t + 14. Calculate the remainder when 81 is divided by k(22).
11
Let j = 2 + 1. Let p(h) = 19*h**j - 3*h - 1 + 3 - 5*h**3. Calculate the remainder when 25 is divided by p(1).
12
Let a(m) = 65*m. Suppose 3*c = -c + 8. Calculate the remainder when a(c) is divided by 11.
9
Let g(w) = -86*w**3 + w**2 - 2. Calculate the remainder when 339 is divided by g(-1).
84
Suppose 7*x + 7 = 42. Suppose 0 = x*j - 2*j - 6. What is the remainder when (2 + 2)/(-2)*-1 is divided by j?
0
Let x be (-3)/(-6)*0 - -1. Suppose 1 + x = j. What is the remainder when -1*2 + (8 - 0) is divided by j?
0
Suppose 3*w + 0 = -3*c + 6, 0 = 5*c + 3*w - 12. Suppose -c*g - 4 = 4*y, g + 4*g - 16 = -y. What is the remainder when (-78)/(-9)*6/4 is divided by g?
1
Let q = 55 + -20. Let j be (8/10)/(14/2135). Suppose 2*v = 5*h + 33 - j, -h + 34 = 5*v. What is the remainder when q is divided by h?
16
Let c = -32 - -49. Let w = 182 + -155. What is the remainder when w is divided by c?
10
Let w = -19 + 27. Suppose 0 = -i - i - 3*q - 12, -2*q = w. Suppose i = -v + 22 - 1. Calculate the remainder when 39 is divided by v.
18
Suppose -321 = -4*d + 367. Calculate the remainder when d is divided by 37.
24
Let a(r) = r**3 + 12*r**2 + 18*r - 2. Calculate the remainder when 339 is divided by a(-10).
15
Suppose 0 = 2*y - 0*b + 4*b - 136, 4*b - 20 = 0. Calculate the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
/3, 1, 28/9, 0.033, 4?
1
What is the third biggest value in 0.12, 3090, -5, -9, -18, -0.2, -0.4?
-0.2
Which is the second biggest value? (a) -0.1 (b) 89 (c) -33 (d) 751/5
b
What is the fifth biggest value in -8, 3/5, 0, 0.2, -1029568?
-1029568
Which is the second smallest value? (a) -1/9 (b) -407 (c) 0.5422
a
What is the sixth biggest value in 0, 0.2, -0.4, 0.02, 0.18, 12/41?
-0.4
What is the second biggest value in 3, 0.05, -544, -0.3832?
0.05
What is the second biggest value in 0.09, -0.02671, -62, -0.5?
-0.02671
What is the third smallest value in -3/2, 3, 0.2, -1.12, -0.2, -348, -12?
-3/2
Which is the smallest value? (a) 3 (b) 0.1 (c) 6675/11 (d) 7 (e) -1
e
Which is the biggest value? (a) 5 (b) 8262 (c) -2/5 (d) 3/32 (e) 1
b
What is the third smallest value in 42, -0.1, -10359?
42
What is the smallest value in -4/7, 4, 2, 3.218, 149?
-4/7
What is the sixth smallest value in 35, 1/20, 7, 4, -4, -3, -25?
7
What is the third biggest value in -1, -0.05, 10.42, 6, 0.1?
0.1
Which is the biggest value? (a) -21 (b) 0.1 (c) 1/2 (d) 10 (e) -23/5
d
Which is the fourth biggest value? (a) -1 (b) 16 (c) -12 (d) 2 (e) -2/9 (f) 13.6
e
Which is the biggest value? (a) -3/7 (b) 0.4 (c) 4/5 (d) 1/6 (e) -0.4 (f) 1/5 (g) -101
c
What is the second smallest value in -7, 1551, -2/5, 0.4, -0.2, 0.5?
-2/5
What is the smallest value in 33/13, 2/3, -30?
-30
What is the third smallest value in 0.66, -4, -1/6, -2/11, 66, -140?
-2/11
Which is the second smallest value? (a) 0.072 (b) 24 (c) 764/7
b
What is the fifth smallest value in -1, -4/49, -3/5, -5, 2/24063, 1, -4/3?
-4/49
Which is the third smallest value? (a) -1/6371 (b) 3 (c) 1/650
b
What is the second smallest value in 3, -77, 68, 0.1, 5?
0.1
What is the seventh smallest value in -24, 5, -1, 3, 6, 118.3, 4?
118.3
Which is the fourth biggest value? (a) -0.12 (b) 11666 (c) 1/15 (d) -5 (e) -0.4
e
Which is the fourth smallest value? (a) -4 (b) 2 (c) 12/7 (d) 10 (e) 0.1 (f) 11.13
b
What is the third biggest value in -0.1, 0, 319492, -0.03, -4, -1, 0.3?
0
What is the second biggest value in -28/13, 2, -0.92398?
-0.92398
Which is the smallest value? (a) 0.4 (b) 11174129 (c) -3/13
c
What is the fifth smallest value in 6, 159456, 2.1, 0.3, -3?
159456
Which is the biggest value? (a) -31 (b) 0.187 (c) -1 (d) 7.6
d
Which is the sixth biggest value? (a) -22/5 (b) 1 (c) -42908 (d) 2/15 (e) 1/6 (f) 1/3
c
Which is the fourth smallest value? (a) -0.4 (b) 1501.1 (c) -1/3 (d) 14 (e) -10
d
Which is the smallest value? (a) 710 (b) -0.5 (c) 1/20 (d) 1.1
b
What is the biggest value in 1/37, -0.3, 635, 6/11?
635
What is the fifth biggest value in -4, 1/11, 2/805, 0.1, -10, -3?
-4
What is the fourth biggest value in -0.007, -1/4, -2.7, 3, -0.4?
-0.4
Which is the biggest value? (a) 1/4 (b) -59.4 (c) -5/7 (d) 980
d
Which is the fourth biggest value? (a) -3/8 (b) 71 (c) -0.3 (d) 1 (e) 0.32 (f) -35
c
Which is the second smallest value? (a) -10 (b) 0.2 (c) 1/10 (d) -4 (e) 4 (f) -4/3 (g) 96/5
d
What is the second smallest value in 2/23, 3/14, -151.9, 0.4?
2/23
Which is the second smallest value? (a) -27/10 (b) -5122 (c) 1/15 (d) 1/9
a
Which is the fourth biggest value? (a) 12 (b) -3/2 (c) 0.5 (d) 10958 (e) -2
b
Which is the biggest value? (a) -3 (b) -2/3 (c) 31.8 (d) -1.7 (e) 5 (f) -0.07 (g) 2/9
c
What is the second smallest value in 1450/3, -1/4, 0, 21, -2/31?
-2/31
What is the second smallest value in -26, -2, 107, 1/2, -1/7, 8?
-2
Which is the fifth smallest value? (a) 0.5 (b) -4/7 (c) 36/39593 (d) -0.03 (e) 2 (f) 0.3
a
Which is the second biggest value? (a) -4/53 (b) -1.3 (c) 18 (d) 0.37 (e) 0.4 (f) 3
f
Which is the second smallest value? (a) 400099 (b) 11 (c) 3
b
Which is the second smallest value? (a) -158.3 (b) 0.1132 (c) 0.05
c
Which is the fourth smallest value? (a) 589/7 (b) 3/131 (c) -2 (d) 1
a
Which is the fifth smallest value? (a) -0.3 (b) -0.058 (c) -2/7 (d) 0.0267 (e) 4 (f) 3
f
Which is the biggest value? (a) -59 (b) 0.33 (c) -2/5 (d) 3/2 (e) -2/9 (f) 2
f
Which is the second smallest value? (a) 74653/41 (b) -3 (c) 3
c
Which is the smallest value? (a) 1 (b) -4 (c) -8/23 (d) 0 (e) 7 (f) -0.7
b
Which is the third biggest value? (a) -3 (b) 3/2107739 (c) 1/3
a
Which is the fifth smallest value? (a) -0.2 (b) -246 (c) 56 (d) 0 (e) 1.3 (f) -2
e
Which is the fifth biggest value? (a) 25 (b) 4 (c) 0.2 (d) 5/2 (e) -1/2 (f) 9/23 (g) 3
f
Which is the smallest value? (a) -2/9 (b) 844103 (c) 2
a
Which is the smallest value? (a) 2/19 (b) 70796 (c) -2/1125
c
Which is the third smallest value? (a) 5/2 (b) 31894 (c) 5 (d) 558
d
What is the second biggest value in -23/7, 3/7, 0.76, -89?
3/7
Which is the biggest value? (a) 4 (b) -434/9 (c) -8 (d) 0.1 (e) 809
e
What is the fourth smallest value in 6, -47, 0.14, 2/139, 0.4, 0?
0.14
What is the third biggest value in -0.13, 0.1, 83/3, -1/21, 2/9, -2/9?
0.1
What is the third biggest value in 1/4, 1.7, -14602, -0.2?
-0.2
What is the second biggest value in 26, 281, -5, 0.3, -2/5, -1/5?
26
Which is the fourth smallest value? (a) -2/43 (b) -1.1 (c) 0.2 (d) -28.47 (e) -5 (f) -1.8
b
Which is the fourth smallest value? (a) -0.11 (b) 1/4 (c) 3/10 (d) -565.1 (e) -0.2
b
Which is the smallest value? (a) 48125 (b) -1.3 (c) 13 (d) -1
b
What is the biggest value in -3, -0.4, -5, -80811?
-0.4
What is the third biggest value in -8029, 2, -0.8?
-8029
What is the smallest value in 481, 295, -27, -1?
-27
Which is the fourth biggest value? (a) -2/13 (b) 16.2 (c) -1/8 (d) 98 (e) 40
c
Which is the biggest value? (a) -139/5 (b) 9 (c) 64.63
c
Which is the fourth smallest value? (a) -0.2 (b) 1221.5 (c) 4 (d) -2/15 (e) -3 (f) -0.01
f
What is the biggest value in -1/2, 21/4, -2417?
21/4
What is the second smallest value in -152056, 0.1, -5?
-5
Which is the second biggest value? (a) 2 (b) -32 (c) 4 (d) -1 (e) 46/7 (f) 73/4 (g) 1
e
What is the fifth smallest value in -12/11, 0.1, -7, 1624, 6?
1624
Which is the smallest value? (a) 4 (b) 0.4 (c) -44 (d) -10/3 (e) 44
c
Which is the smallest value? (a) 21.56 (b) 1.4 (c) -1/70
c
What is the sixth smallest value in -0.01, -5, -2, 2, -31, 1496?
1496
What is the second biggest value in -2978, -419, 6, -5?
-5
Which is the third smallest value? (a) 2 (b) -0.2 (c) 80 (d) -1 (e) 30 (f) 3/32 (g) 20
f
What is the sixth biggest value in -5, -0.7, -25, 4.9, -1, -2/25, 2?
-5
What is the second smallest value in 908985/2, -4, 1/8?
1/8
Which is the biggest value? (a) -1/4 (b) -23 (c) 2.1 (d) -0.02 (e) 4 (f) 9.6 (g) 2/9
f
What is the third biggest value in 37, -0.39, -1, -0.031, 3, 0.6, 2/11?
0.6
Which is the fourth smallest value? (a) -0.008 (b) 1/58 (c) 1/4 (d) -1/25
c
Which is the third biggest value? (a) -2.256 (b) -0.33 (c) 733/4
a
Which is the fourth smallest value? (a) -290172 (b) -1.8 (c) -0.3 (d) -0.4
c
What is the second biggest value in 0.1, -0.168, -19214?
-0.168
Which is the third smallest value? (a) -13/205430 (b) 19 (c) -0.1
b
What is the second smallest value in -47099.8, -2, 4/5?
-2
What is the sixth biggest value in 0, 1/6, -142/9, 15/7, 6/7, 1/4?
-142/9
What is the smallest value in 14, -0.1, 434, 3?
-0.1
Which is the third smallest value? (a) 1/4 (b) -1 (c) 4/3 (d) 9/2 (e) 4 (f) -1/7 (g) 4/5
a
What is the second smallest value in 3/7, 4, 3.27383?
3.27383
Which is the second biggest value? (a) 2/93 (b) 47.7 (c) 2312
b
Which is the seventh smallest value? (a) -1/4 (b) -5 (c) -0.5 (d) 0.1 (e) -3 (f) 1 (g) 126210
g
Which is the sixth smallest value? (a) -4372.8 (b) -0.1 (c) 4/5 (d) 0.5 (e) 12 (f) 2/29
e
Which is the second smallest value? (a) -57.16 (b) 53/2 (c) 2 (d) 5
c
Which is the fourth smallest value? (a) -3 (b) -4 (c) 0.4 (d) -37 (e) 20.4 (f) 36/7
c
Which is the second biggest value? (a) -0.002 (b) 225/19 (c) 34
b
What is the smallest value in -44, -71.012, 0.4?
-71.012
Which is the smallest value? (a) -2 (b) 12.14 (c) -0.01 (d) 1 (e) 0.3 (f) 4
a
Which is the fourth biggest value? (a) -5 (b) 1.2 (c) -1/2 (d) 3 (e) -279
a
What is the fourth smallest value in -1/4, -3/269, -5, -0.3
|
{
"pile_set_name": "DM Mathematics"
}
|
ger?
15
What is the third root of 26281 to the nearest integer?
30
What is the square root of 61974 to the nearest integer?
249
What is 1184 to the power of 1/6, to the nearest integer?
3
What is the tenth root of 7252 to the nearest integer?
2
What is the square root of 12050 to the nearest integer?
110
What is 8 to the power of 1/5, to the nearest integer?
2
What is 15458 to the power of 1/5, to the nearest integer?
7
What is 56057 to the power of 1/3, to the nearest integer?
38
What is 1301 to the power of 1/2, to the nearest integer?
36
What is the third root of 3142 to the nearest integer?
15
What is the square root of 7448 to the nearest integer?
86
What is 5098 to the power of 1/6, to the nearest integer?
4
What is 4654 to the power of 1/2, to the nearest integer?
68
What is the tenth root of 4558 to the nearest integer?
2
What is 1661 to the power of 1/3, to the nearest integer?
12
What is the sixth root of 53877 to the nearest integer?
6
What is 3536 to the power of 1/3, to the nearest integer?
15
What is 9375 to the power of 1/3, to the nearest integer?
21
What is the square root of 1801 to the nearest integer?
42
What is 4009 to the power of 1/5, to the nearest integer?
5
What is the ninth root of 5142 to the nearest integer?
3
What is the fourth root of 2520 to the nearest integer?
7
What is the square root of 3182 to the nearest integer?
56
What is 9805 to the power of 1/7, to the nearest integer?
4
What is 24845 to the power of 1/9, to the nearest integer?
3
What is the cube root of 2505 to the nearest integer?
14
What is 1489 to the power of 1/7, to the nearest integer?
3
What is 71290 to the power of 1/3, to the nearest integer?
41
What is 3931 to the power of 1/2, to the nearest integer?
63
What is 20951 to the power of 1/2, to the nearest integer?
145
What is the seventh root of 3936 to the nearest integer?
3
What is the tenth root of 7225 to the nearest integer?
2
What is 894 to the power of 1/2, to the nearest integer?
30
What is 7044 to the power of 1/2, to the nearest integer?
84
What is 1160 to the power of 1/2, to the nearest integer?
34
What is the seventh root of 1390 to the nearest integer?
3
What is 11827 to the power of 1/7, to the nearest integer?
4
What is the ninth root of 4839 to the nearest integer?
3
What is the square root of 4313 to the nearest integer?
66
What is the third root of 421 to the nearest integer?
7
What is the fourth root of 38181 to the nearest integer?
14
What is 3564 to the power of 1/4, to the nearest integer?
8
What is 32666 to the power of 1/5, to the nearest integer?
8
What is the square root of 8933 to the nearest integer?
95
What is 2993 to the power of 1/2, to the nearest integer?
55
What is the third root of 2800 to the nearest integer?
14
What is the square root of 68536 to the nearest integer?
262
What is the square root of 55101 to the nearest integer?
235
What is the square root of 15928 to the nearest integer?
126
What is the square root of 5966 to the nearest integer?
77
What is 320 to the power of 1/6, to the nearest integer?
3
What is 1214 to the power of 1/2, to the nearest integer?
35
What is the square root of 6856 to the nearest integer?
83
What is the fifth root of 736 to the nearest integer?
4
What is the third root of 60948 to the nearest integer?
39
What is the tenth root of 1171 to the nearest integer?
2
What is the fifth root of 6659 to the nearest integer?
6
What is 991 to the power of 1/7, to the nearest integer?
3
What is 4949 to the power of 1/4, to the nearest integer?
8
What is 59830 to the power of 1/7, to the nearest integer?
5
What is 11543 to the power of 1/3, to the nearest integer?
23
What is 18621 to the power of 1/5, to the nearest integer?
7
What is the third root of 1039 to the nearest integer?
10
What is 35829 to the power of 1/2, to the nearest integer?
189
What is the cube root of 102939 to the nearest integer?
47
What is the seventh root of 870 to the nearest integer?
3
What is 565 to the power of 1/4, to the nearest integer?
5
What is the cube root of 23889 to the nearest integer?
29
What is the ninth root of 81336 to the nearest integer?
4
What is 5135 to the power of 1/2, to the nearest integer?
72
What is the fourth root of 1299 to the nearest integer?
6
What is 6909 to the power of 1/7, to the nearest integer?
4
What is 5120 to the power of 1/3, to the nearest integer?
17
What is the square root of 4096 to the nearest integer?
64
What is the third root of 671 to the nearest integer?
9
What is the square root of 21107 to the nearest integer?
145
What is the cube root of 111 to the nearest integer?
5
What is the square root of 3914 to the nearest integer?
63
What is 1786 to the power of 1/5, to the nearest integer?
4
What is the seventh root of 2280 to the nearest integer?
3
What is 6956 to the power of 1/3, to the nearest integer?
19
What is the square root of 12473 to the nearest integer?
112
What is the seventh root of 1553 to the nearest integer?
3
What is 14312 to the power of 1/6, to the nearest integer?
5
What is 253 to the power of 1/3, to the nearest integer?
6
What is the square root of 2558 to the nearest integer?
51
What is the eighth root of 18536 to the nearest integer?
3
What is the third root of 32989 to the nearest integer?
32
What is the fourth root of 57262 to the nearest integer?
15
What is the tenth root of 897 to the nearest integer?
2
What is 12612 to the power of 1/3, to the nearest integer?
23
What is the square root of 2336 to the nearest integer?
48
What is the square root of 749 to the nearest integer?
27
What is the third root of 483 to the nearest integer?
8
What is the ninth root of 559 to the nearest integer?
2
What is 932 to the power of 1/2, to the nearest integer?
31
What is 1229 to the power of 1/9, to the nearest integer?
2
What is 55613 to the power of 1/10, to the nearest integer?
3
What is 9969 to the power of 1/10, to the nearest integer?
3
What is the cube root of 1217 to the nearest integer?
11
What is the third root of 9693 to the nearest integer?
21
What is the third root of 390 to the nearest integer?
7
What is 872 to the power of 1/8, to the nearest integer?
2
What is 2409 to the power of 1/9, to the nearest integer?
2
What is the square root of 12280 to the nearest integer?
111
What is the square root of 43444 to the nearest integer?
208
What is the fifth root of 10135 to the nearest integer?
6
What is 148488 to the power of 1/2, to the nearest integer?
385
What is 10161 to the power of 1/3, to the nearest integer?
22
What is 29 to the power of 1/9, to the nearest integer?
1
What is 78142 to the power of 1/5, to the nearest integer?
10
What is 7770 to the power of 1/9, to the nearest integer?
3
What is the square root of 79571 to the nearest integer?
282
What is the ninth root of 637 to the nearest integer?
2
What is the seventh root of 2112 to the nearest integer?
3
What is 58570 to the power of 1/3, to the nearest integer?
39
What is the square root of 220 to the nearest integer?
15
What is the eighth root of 85977 to the nearest integer?
4
What is the third root of 28082 to the nearest integer?
30
What is 82 to the power of 1/2, to the nearest integer?
9
What is 187 to the power of 1/5, to the nearest integer?
3
What is 32934 to the power of 1/3, to the nearest integer?
32
What is the sixth root of 18811 to the nearest integer?
5
What is 14650 to the power of 1/3, to the nearest integer?
24
What is the tenth root of 58254 to the nearest integer?
3
What is the square root of 1448 to the nearest integer?
38
What is 5297 to the power of 1/3, to the nearest integer?
17
What is 6208 to the power of 1/6, to the nearest integer?
4
What is the cube root of 1513 to the nearest integer?
11
What is the third root of 1547 to the nearest integer?
12
What is 29625 to the power of 1/2, to the nearest integer?
172
What is 36632 to the power of 1/2, to the nearest integer?
191
What is the fifth root of 77696 to the nearest integer?
10
What is the square root of 5318 to the nearest integer?
73
What is the third root of 91939 to the nearest integer?
45
What is the ninth root of 11303 to the nearest integer?
3
What is 23 to the power of 1/2, to the nearest integer?
5
What is the third root of 86 to the neare
|
{
"pile_set_name": "DM Mathematics"
}
|
14
34532022 (base 6) to base 2
100000101001001001110
-5a438 (base 11) to base 13
-30805
Convert 460433 (base 10) to base 9.
771532
What is 374054 (base 11) in base 13?
179024
156511 (base 11) to base 3
110100010210
2744646 (base 8) to base 9
1406623
Convert -57544 (base 11) to base 16.
-144e7
What is 919046 (base 10) in base 13?
26241b
What is 2102230111 (base 4) in base 16?
92b15
Convert -1001210021000 (base 3) to base 12.
-233aa6
76798 (base 11) to base 9
178757
Convert 5321501 (base 6) to base 7.
2130562
What is -3377 (base 8) in base 7?
-5136
Convert -15cacbc (base 14) to base 10.
-10709606
What is -12982 (base 11) in base 10?
-18482
What is 355846 (base 10) in base 7?
3011311
-5281213 (base 9) to base 14
-538c18
What is 75943d (base 14) in base 11?
2280029
-524445115 (base 6) to base 15
-c158cb
-1484483 (base 9) to base 13
-22aa57
What is 370ce1 (base 15) in base 13?
71371c
Convert 2226aa0 (base 14) to base 11.
9185a21
Convert c637 (base 15) to base 9.
63427
Convert 3650240 (base 7) to base 11.
299064
14141133 (base 5) to base 15
2d5b3
-3620e4 (base 15) to base 16
-2780a7
47d9a (base 16) to base 2
1000111110110011010
What is -11423434242 (base 5) in base 9?
-27354526
-482d31 (base 16) to base 2
-10010000010110100110001
-244223 (base 5) to base 13
-4315
What is 57839 (base 10) in base 9?
87305
Convert -72328 (base 9) to base 14.
-1351c
Convert 289337 (base 11) to base 10.
451612
What is -144414320 (base 7) in base 16?
-927edb
Convert -14911 (base 16) to base 4.
-110210101
Convert 1304200440 (base 5) to base 3.
20000021011111
121488e (base 15) to base 13
28c3c94
Convert -21102002210 (base 3) to base 10.
-145875
What is 311ca8 (base 15) in base 7?
25563350
141389 (base 15) to base 16
ebda6
-2312312011 (base 4) to base 10
-748933
84a31 (base 11) to base 13
443c1
-1c720b (base 14) to base 7
-11441114
6b698 (base 13) to base 5
22243142
-a9690 (base 15) to base 4
-2003113332
Convert -11323101122 (base 4) to base 14.
-2c6202
-8a (base 16) to base 2
-10001010
2a191 (base 15) to base 13
497c5
What is 6a6339 (base 15) in base 12?
18519b3
Convert 1613752 (base 8) to base 10.
464874
What is 20341244 (base 5) in base 8?
510604
-101111011111100101111110 (base 2) to base 16
-bdf97e
Convert -16308a (base 14) to base 3.
-1110110101201
Convert -1166a4 (base 15) to base 14.
-179190
-3915a (base 14) to base 15
-2b830
Convert -84e10 (base 15) to base 3.
-210102102020
Convert -25171 (base 13) to base 8.
-205420
-d8f1c0 (base 16) to base 4
-312033013000
Convert 16320250 (base 7) to base 11.
992751
Convert -1110001110111100101101 (base 2) to base 7.
-43500160
Convert 120200102100 (base 3) to base 10.
308673
Convert 3da54 (base 14) to base 7.
1204634
Convert 211331 (base 8) to base 9.
116458
Convert 1310544 (base 7) to base 3.
22200020000
Convert 22303324 (base 6) to base 3.
1021102001121
Convert -14263 (base 15) to base 8.
-176234
-101001000011000000111 (base 2) to base 4
-11020120013
46242314 (base 7) to base 13
ab799a
Convert 13312411 (base 5) to base 3.
20212200012
What is -16235244 (base 7) in base 10?
-1572099
What is 346c9 (base 16) in base 10?
214729
Convert -393293a (base 11) to base 15.
-8e84de
1b8c04 (base 15) to base 12
54aaaa
25352020 (base 7) to base 9
4282801
430030 (base 6) to base 14
ca8a
Convert -110112210200012 (base 3) to base 10.
-6668654
What is 2d34b (base 14) in base 4?
123220013
What is 110000000100100010 (base 2) in base 13?
6b810
Convert -34a1b1 (base 12) to base 11.
-5293a8
What is 26edcc (base 15) in base 13?
507609
Convert 128363 (base 9) to base 7.
444201
-303323400 (base 5) to base 2
-100101100010000011010
200121011022 (base 3) to base 11
230045
Convert a70e9 (base 15) to base 7.
4335315
Convert -25374 (base 16) to base 10.
-152436
Convert 2188011 (base 9) to base 8.
4401145
38988 (base 16) to base 14
606a4
What is -354355 (base 6) in base 12?
-159bb
-104310 (base 15) to base 2
-10111100110110111101
What is 379529 (base 11) in base 14?
118047
What is -22032021222 (base 4) in base 12?
-a926b6
Convert -2040021 (base 5) to base 14.
-c437
-881907 (base 11) to base 15
-1cc293
3249280 (base 11) to base 6
322200202
69604 (base 11) to base 4
120203023
2222550 (base 6) to base 16
1b5e2
What is 12134060 (base 7) in base 4?
10020231221
What is -296307 (base 10) in base 14?
-79dab
Convert -11420124203 (base 5) to base 4.
-303101311330
Convert -200120010112 (base 3) to base 10.
-365324
21a3c (base 14) to base 16
13eb6
What is 14013 (base 7) in base 8?
7307
Convert fbd38b (base 16) to base 8.
76751613
What is 100110001011110 (base 2) in base 12?
b392
-431565 (base 9) to base 10
-257072
-2233355 (base 6) to base 12
-5585b
-11010101001111001001001 (base 2) to base 10
-6987337
1245035 (base 6) to base 16
10b8f
207530 (base 8) to base 14
1b45a
What is -2624241 (base 7) in base 14?
-8cb21
4310025 (base 6) to base 10
211265
21531767 (base 9) to base 2
100111101110011001100000
What is 5443403 (base 6) in base 3?
111201212110
-120402224 (base 5) to base 6
-15555053
40012343 (base 5) to base 15
62d33
What is -484131 (base 9) in base 12?
-120991
Convert 417246 (base 8) to base 10.
138918
What is -224286 (base 9) in base 12?
-65920
16887dc (base 14) to base 5
10314243301
What is -499074 (base 11) in base 4?
-3000121001
Convert -243114044 (base 5) to base 3.
-2011011111200
Convert 25693 (base 14) to base 3.
11200000010
-2555128 (base 11) to base 6
-234525444
3e282 (base 16) to base 3
110221020102
Convert -320012403 (base 6) to base 10.
-5600595
-85571 (base 10) to base 9
-140338
What is -95910 (base 10) in base 16?
-176a6
21211001111020 (base 3) to base 16
3f6357
75414 (base 11) to base 2
11010110001001001
What is -a54c (base 15) in base 16?
-8883
-20042052 (base 7) to base 13
-460524
-2326203 (base 8) to base 6
-21331043
-10201110012201 (base 3) to base 16
-1e2b72
4141146 (base 8) to base 10
1098342
What is 26565020 (base 8) in base 3?
102012201001121
-26dd3 (base 15) to base 13
-44955
Convert -21402a (base 12) to base 16.
-80422
Convert -4791 (base 16) to base 15.
-5666
What is 845062 (base 9) in base 8?
1725101
What is 4cbe9 (base 15) in base 7?
2042211
What is acb (base 15) in base 4?
212021
Convert 44813 (base 11) to base 5.
4033440
87075 (base 14) to base 16
4fbef
What is -23010030231 (base 4) in base 5?
-1220311111
1478022 (base 9) to base 8
3100330
Convert 4230b6 (base 13) to base 10.
1549034
What is 53320402 (base 6) in base 9?
2845672
b4804 (base 16) to base 14
153616
-69705 (base 11) to base 12
-4a319
What is -710619 (base 10) in base 2?
-10101101011111011011
Convert -30452747 (base 8) to base 16.
-6255e7
What is 2034430412 (base 5) in base 4?
100011230013
60772 (base 10) to base 5
3421042
What is -765065 (base 8) in base 4?
-332220311
What is 1955622 (base 11) in base 7?
40030513
-216354 (base 8) to base 6
-1321404
Convert 11136 (base 9) to base 16.
1cec
e6762 (base 15) to base 16
b262b
-5cec5b (base 16) to base 11
-348a40a
-309945 (base 10) to base 6
-10350533
1a527 (base 14) to base 13
2458c
1110101011110001000 (base 2) to base 3
220110000202
-120ba (base 12) to base 6
-304354
1221002303 (base 4) to base 10
430259
-132ad (base 16) to base 13
-29972
Convert 1110011000110110110 (base 2) to base 5.
110041403
What is 1012212012111012 (base 3) in base 15?
17ee282
176686 (base 9) to base 10
109914
Convert 393594 (base 11) to base 10.
619623
What is -22220002020110 (base 3) in base 2?
-10010000001101100110000
Convert 333634 (base 10) to base 9.
557584
36bc67 (base 13) to base 11
816406
-12055511 (base 7) to base 15
-162d0e
What is 162497 (base 14) in base 12?
314405
17882046 (base 9) to base 15
bd55c6
5514 (base 6) to base 8
2366
What is -2436226 (base 7) in base 16?
-4c261
8c016 (base 13) to base 6
5243543
13682 (base 12) to base 2
110100100000010
Convert -277078 (base 11) to base 14.
-b4235
Convert -126d1 (base 14) to base 10.
-45263
-101111013 (base 4) to base 12
-350b3
What is -24300424 (base 6) in base 14?
-16086c
What is -1122132130 (base 4) in base 7?
-3102301
What is -222a40 (base 12) in base 3?
-1000122100010
Convert 16240 (base 16) to base 6.
1535504
What is -6020574 (base 8) in base 13?
-434a7c
Convert -5412a (base 11) to base 14.
-20962
-1121241 (base 5) to base 12
-b830
Convert 1575b (base 14) to base 4.
31011111
-226201 (base 8) to
|
{
"pile_set_name": "DM Mathematics"
}
|
.
5263716
What is the common denominator of 133/720 and 149/12120?
72720
What is the least common multiple of 14157 and 243?
382239
What is the common denominator of -103/200 and -41/107450?
429800
What is the smallest common multiple of 30044 and 112?
120176
What is the smallest common multiple of 2146 and 87?
6438
What is the common denominator of 38/27 and 32/43755?
393795
Calculate the least common multiple of 14886 and 276.
684756
Find the common denominator of 109/72 and 29/183816.
183816
What is the common denominator of 65/46368 and -85/2944?
185472
Calculate the smallest common multiple of 153 and 105.
5355
Find the common denominator of 51/730 and -131/21900.
21900
What is the common denominator of 11/25420 and -99/64780?
2008180
Calculate the common denominator of 41/688 and -1/116576.
5012768
Find the common denominator of 43/342 and 105/418.
3762
Find the common denominator of -41/169823 and -11/6.
1018938
Find the common denominator of -71/6 and -71/1173.
2346
Find the common denominator of 37/5344 and 89/1336.
5344
What is the common denominator of 1/69 and -49/14214?
14214
What is the lowest common multiple of 8256 and 1376?
8256
What is the smallest common multiple of 6 and 100056?
100056
Find the common denominator of 87/40060 and -1/700.
1402100
What is the least common multiple of 36950 and 73900?
73900
Find the common denominator of 3/16000 and -67/248000.
496000
Calculate the common denominator of 79/702 and -131/82242.
1069146
What is the common denominator of 157/3536820 and -13/84?
3536820
What is the lowest common multiple of 713445 and 21?
4994115
What is the common denominator of -193/3060 and -11/28836?
2451060
What is the lowest common multiple of 33 and 15202?
45606
Calculate the lowest common multiple of 38900 and 20.
38900
What is the lowest common multiple of 828 and 3565?
128340
What is the least common multiple of 798 and 396150?
2773050
Calculate the common denominator of -69/5192 and -101/504.
327096
What is the common denominator of -17/60420 and -157/17100?
906300
What is the common denominator of 7/8 and 17/1428852?
2857704
Calculate the common denominator of 59/112 and 20/997.
111664
What is the lowest common multiple of 16 and 2568210?
20545680
Find the common denominator of -103/390 and 85/4722.
306930
Calculate the least common multiple of 53008 and 448.
1484224
What is the smallest common multiple of 18 and 154590?
463770
What is the common denominator of -29/4376 and 45/25162?
100648
What is the lowest common multiple of 4460 and 276?
307740
Calculate the smallest common multiple of 1094 and 582008.
582008
What is the common denominator of -21/5840 and 95/320616?
3206160
Calculate the common denominator of -1/343 and 27/1127.
7889
What is the least common multiple of 34832 and 4368?
1358448
Calculate the smallest common multiple of 704 and 618.
217536
What is the least common multiple of 12 and 491442?
982884
Calculate the common denominator of 119/23724 and -97/47448.
47448
What is the least common multiple of 444618 and 99?
4890798
Calculate the least common multiple of 10 and 87816.
439080
What is the least common multiple of 350535 and 21?
2453745
Calculate the lowest common multiple of 11342 and 2279.
487706
What is the smallest common multiple of 3335 and 348?
40020
Calculate the least common multiple of 29943 and 108.
119772
What is the lowest common multiple of 4476 and 11946?
8911716
Calculate the common denominator of -71/162248 and 133/36.
1460232
Calculate the common denominator of 89/82674 and 59/202092.
1818828
Calculate the lowest common multiple of 7844 and 1231508.
1231508
Find the common denominator of 43/33241 and -67/373322.
4853186
What is the common denominator of -101/393778 and 1/506286?
3544002
What is the lowest common multiple of 21 and 14352?
100464
Calculate the least common multiple of 17601 and 29335.
88005
Calculate the lowest common multiple of 38588 and 94.
1813636
Calculate the common denominator of 47/490 and -119/23850.
1168650
What is the least common multiple of 16280 and 222?
48840
Calculate the least common multiple of 47881 and 383048.
383048
What is the common denominator of 43/9 and 5/61773?
185319
What is the common denominator of 92/15405 and -173/390?
30810
What is the common denominator of -97/236056 and 47/100?
5901400
Find the common denominator of -105/31552 and 139/72.
283968
Calculate the smallest common multiple of 58800 and 5880.
58800
What is the lowest common multiple of 438660 and 1403712?
7018560
What is the least common multiple of 125032 and 32?
500128
What is the common denominator of 31/66896 and 7/635512?
1271024
Find the common denominator of -35/564 and -37/47188.
141564
Calculate the smallest common multiple of 1080 and 5565.
400680
Calculate the least common multiple of 6240 and 260.
6240
Calculate the least common multiple of 546 and 11674.
245154
Calculate the common denominator of -67/43482 and 15/2.
43482
What is the common denominator of -65/16 and 1/98096?
98096
Calculate the common denominator of -1/8188 and -97/84.
171948
Calculate the least common multiple of 126 and 37422.
37422
What is the common denominator of 85/530564 and 5/506?
5836204
Find the common denominator of -69/440 and -103/1080.
11880
Calculate the smallest common multiple of 19127 and 496.
306032
Calculate the common denominator of -23/20 and 29/39518.
395180
Calculate the least common multiple of 119 and 2016.
34272
Calculate the common denominator of 187/197040 and -59/16420.
197040
Calculate the common denominator of -27/4 and 3/445904.
445904
What is the common denominator of 13/168 and 117/273560?
820680
Calculate the common denominator of -25/63 and -37/864.
6048
Calculate the common denominator of 41/170816 and -49/884.
2220608
What is the common denominator of -88/45 and 7/6192?
30960
What is the common denominator of -32/869 and -73/606?
526614
Find the common denominator of -55/1035827 and 2/7085.
5179135
Calculate the common denominator of -7/14970 and -69/4.
29940
What is the lowest common multiple of 200 and 250744?
6268600
Find the common denominator of -93/10 and 7/7483020.
7483020
Calculate the common denominator of 82/495 and -59/273405.
820215
Calculate the common denominator of -47/79100 and 37/56500.
395500
Calculate the lowest common multiple of 140 and 156604.
783020
What is the smallest common multiple of 18575 and 765290?
3826450
Calculate the lowest common multiple of 150 and 2193.
109650
Calculate the smallest common multiple of 2 and 5140.
5140
What is the smallest common multiple of 33 and 1290951?
14200461
What is the lowest common multiple of 42444 and 1572?
42444
Calculate the common denominator of -71/150 and -11/18.
450
Calculate the lowest common multiple of 68 and 84388.
84388
What is the lowest common multiple of 248 and 11036?
22072
What is the smallest common multiple of 114 and 96?
1824
Calculate the least common multiple of 456 and 105624.
2006856
Calculate the lowest common multiple of 34710 and 44055.
1145430
What is the lowest common multiple of 18 and 221406?
664218
What is the smallest common multiple of 2 and 63452?
63452
Calculate the common denominator of -3/35 and -113/28680.
200760
Calculate the common denominator of 1/6 and -43/33792.
33792
Calculate the lowest common multiple of 8793 and 2931.
8793
Find the common denominator of 1/122630 and 37/75.
1839450
Find the common denominator of 53/31017 and 58/189.
279153
What is the lowest common multiple of 6424 and 792?
57816
Calculate the lowest common multiple of 11704 and 1496.
198968
Find the common denominator of -59/85 and 21/452.
38420
What is the common denominator of 33/40 and -151/116620?
233240
Find the common denominator of 151/1716 and -145/18.
5148
Find the common denominator of 47/110 and 23/1222.
67210
Find the common denominator of -109/40 and 25/4702.
94040
What is the lowest common multiple of 11040 and 154?
850080
Calculate the common denominator of -145/2724 and 59/174.
78996
Calculate the common denominator of -97/188860 and 32/14839.
2077460
Calculate the least common multiple of 72 and 39177.
313416
Calculate the common denominator of -47/972 and 25/6966.
41796
Calculate the lowest common multiple of 200 and 164640.
823200
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
.
14*u
Collect the terms in 48452*t + 48500*t - 96894*t + 2*t**3.
2*t**3 + 58*t
Collect the terms in 13*r**3 + 0*r - 33*r**3 - 33*r**2 + 0*r.
-20*r**3 - 33*r**2
Collect the terms in 3 + 1017*x**3 - 29540*x**3 - 2.
-28523*x**3 + 1
Collect the terms in 0*s + 4*s - 312*s**2 - 6*s + 2*s.
-312*s**2
Collect the terms in 3*d**3 + 431 + d**3 - 853 + 422.
4*d**3
Collect the terms in 904*j + 145*j + 292*j - 91*j.
1250*j
Collect the terms in -34*l**2 - 650 + 650 + 24*l**2.
-10*l**2
Collect the terms in 54 - 249*p**3 + 1 + 247*p**3.
-2*p**3 + 55
Collect the terms in 28*z**3 + 5*z - 5*z - 6*z - 11*z.
28*z**3 - 17*z
Collect the terms in 1641*c**2 - 850*c**2 - 790*c**2.
c**2
Collect the terms in -318 + 318 + 25*v**3 + 110*v**3.
135*v**3
Collect the terms in 1 + 6*y**2 - 3 + 31*y**2 + 3354*y - 3354*y.
37*y**2 - 2
Collect the terms in -1575*l**3 + 4*l - 1243*l**3 + 2826*l**3.
8*l**3 + 4*l
Collect the terms in 905*p**2 - 83*p**2 - 68*p**2.
754*p**2
Collect the terms in 9*w - 4*w + 3491*w**2 - 5*w - 3493*w**2.
-2*w**2
Collect the terms in -200*z - 38*z + 262*z.
24*z
Collect the terms in 536*w**3 + 63*w**3 + 131*w**3 + 2*w.
730*w**3 + 2*w
Collect the terms in -29*n**2 - 65 + 39 + 28*n**2.
-n**2 - 26
Collect the terms in 1 - 338*s - 340*s + 686*s.
8*s + 1
Collect the terms in 3*p**3 - 6457591*p + 6457591*p.
3*p**3
Collect the terms in 579*w**3 + 17*w - 63*w - 166*w**3 + 46*w.
413*w**3
Collect the terms in 76071*i**2 + 76073*i**2 - i + i - 152133*i**2.
11*i**2
Collect the terms in -8 + 6 - 104*l - 19 - 24.
-104*l - 45
Collect the terms in -80*p - 4*p - 92*p + 24*p - p**2.
-p**2 - 152*p
Collect the terms in 77348*n**2 + 42*n - 77344*n**2 + 41*n - 83*n.
4*n**2
Collect the terms in 7848816 + 3*d - 7848816.
3*d
Collect the terms in -95*a**2 + 189*a**2 - 94*a**2 - 2122*a**3 - 1142*a**3.
-3264*a**3
Collect the terms in -350*z - 342*z + 1035*z - 349*z.
-6*z
Collect the terms in 12320 - 24647 + 12327 - 6*g.
-6*g
Collect the terms in 127*x**3 - 119*x**3 - 2091 + 2091.
8*x**3
Collect the terms in 5*k - 2*k - 12 - 86 - 2*k.
k - 98
Collect the terms in 4012 - 4012 - 31*p**2.
-31*p**2
Collect the terms in -17*i + 46*i - 40*i + 4 - 20.
-11*i - 16
Collect the terms in 579 - 978 + 399 - 2*y - 3*y.
-5*y
Collect the terms in 426*l**3 + 72*l**3 + 86*l**3.
584*l**3
Collect the terms in 1727*i**2 + 1732*i**2 - 5189*i**2 + 1743*i**2.
13*i**2
Collect the terms in 7 - 7 + 139627*w**2.
139627*w**2
Collect the terms in 2*i**3 - i**3 - 21*i**3 + 4*i**3 - 29*i**3.
-45*i**3
Collect the terms in 197*z**3 - 102*z**3 + 55 - 96*z**3.
-z**3 + 55
Collect the terms in 303*f - 973*f + 282*f + 281*f.
-107*f
Collect the terms in 167*o**2 - 741*o**2 + 171*o**2 + 172*o**2 + 238*o**2.
7*o**2
Collect the terms in -674*x - 353*x + 729*x.
-298*x
Collect the terms in -168*r + 26*r**3 + 137 - 29*r**3 - 137.
-3*r**3 - 168*r
Collect the terms in 20 + 39*b**2 + 0*b - 2*b - 4*b.
39*b**2 - 6*b + 20
Collect the terms in 9*x**3 + 4*x**3 - 9*x**3 + 7*x**3 - 10*x**3.
x**3
Collect the terms in -137*h + 17*h**2 + 95*h + 42*h.
17*h**2
Collect the terms in 7 - 4 - 1 + 164*f**2.
164*f**2 + 2
Collect the terms in 242*w**2 - 1738*w + 105*w**2 + 3483*w - 1746*w.
347*w**2 - w
Collect the terms in -15200*o**2 + 15075*o**2 + 4 - 2.
-125*o**2 + 2
Collect the terms in -23847*o - 787*o - 9442*o - 23512*o.
-57588*o
Collect the terms in 523*t**2 - 2099*t**2 + 511*t**2 + 525*t**2 + 524*t**2.
-16*t**2
Collect the terms in 179391*h**2 - 358771*h**2 + 179377*h**2.
-3*h**2
Collect the terms in 0 - 2 + 8613*a**2 + 2.
8613*a**2
Collect the terms in 2 - 1515*j + 1 - 1 - j**2.
-j**2 - 1515*j + 2
Collect the terms in -956*y + 480*y - 573 + 477*y + 573 + 3*y**3.
3*y**3 + y
Collect the terms in 33997*f**2 + 33954*f**2 - 67933*f**2.
18*f**2
Collect the terms in 5*m + 32*m - 6*m**3 - m**3 - 37*m.
-7*m**3
Collect the terms in 1590696*f**2 - 795343*f**2 - 795350*f**2.
3*f**2
Collect the terms in -5903*t**2 - 5933*t**2 + 11776*t**2.
-60*t**2
Collect the terms in -220136*h**2 + 220136*h**2 + 1619*h**3.
1619*h**3
Collect the terms in 2*t**3 - 1914*t**2 + 4*t**3 + 84*t**2 - 4*t**3.
2*t**3 - 1830*t**2
Collect the terms in 33 + 20 - 1 - 12 + 7*b**3.
7*b**3 + 40
Collect the terms in -13*o - 27*o + 53*o - 39*o.
-26*o
Collect the terms in 6 - 41*t**2 - 8*t**2 - 9 - 2.
-49*t**2 - 5
Collect the terms in 3*l**2 + 153293 - 153293.
3*l**2
Collect the terms in -1 - 100*t**2 - 41*t**2 + 1 - 11*t**2.
-152*t**2
Collect the terms in 2559 - 2559 - 149*n**2.
-149*n**2
Collect the terms in p + 11*p - 12*p - 15113*p**2.
-15113*p**2
Collect the terms in 3009*c**2 - 863*c**2 + 2569*c**2.
4715*c**2
Collect the terms in -19903 + 4*t**3 + 5*t**3 + 19903 - 2*t**3.
7*t**3
Collect the terms in 18973*d - 18973*d + 4*d**2.
4*d**2
Collect the terms in 5*k**2 - 38*k**2 + 11*k**2.
-22*k**2
Collect the terms in 5*d**2 + 572700 - 572700.
5*d**2
Collect the terms in 0*i**2 + 7*i**2 - 6*i**2 + 22 - 4*i**2 - 16.
-3*i**2 + 6
Collect the terms in 195 + 185 + 49 + 32*l.
32*l + 429
Collect the terms in 35*q - 1 + 6*q**2 + 39*q + 78*q**2 + 64*q**2.
148*q**2 + 74*q - 1
Collect the terms in 2*n**2 - 55040947*n**3 - 2*n**2 + 55040934*n**3.
-13*n**3
Collect the terms in 19*r - 59 + 15 + 26 + 18.
19*r
Collect the terms in -32*p**3 + 31*p**3 + 430311 - 430311.
-p**3
Collect the terms in -483 - 489 - 44*z**3 + 967.
-44*z**3 - 5
Collect the terms in -50*s + 23 - 59 + 34 - 3*s.
-53*s - 2
Collect the terms in -398*y**2 + 105*y**3 + 398*y**2.
105*y**3
Collect the terms in 3*h**3 + 10783 - 21572 + 10789.
3*h**3
Collect the terms in 35048*s - 6787*s + 5379*s + 11750*s.
45390*s
Collect the terms in -17*y**2 + 49*y - 49*y + 35*y**2 + 52*y**2.
70*y**2
Collect the terms in 12826*j + 12821*j - 25651*j.
-4*j
Collect the terms in -88*r + 20*r**3 + 18*r + 60*r + 10*r.
20*r**3
Collect the terms in o - 808*o**2 - 3*o + 4*o - 782*o**2.
-1590*o**2 + 2*o
Collect the terms in -623274 + 623274 - 21*l.
-21*l
Collect the terms in -2073079 - 5*z**3 - 2073066 + 4146145.
-5*z**3
Collect the terms in -176*h**3 + 118*h**3 + 61*h**3.
3*h**3
Collect the terms in -8*z + 43*z - 23*z - 45*z**2 - 12*z.
-45*z**2
Collect the terms in 6973*a**3 - 13938*a**3 + 6971*a**3.
6*a**3
Collect the terms in -436 - 42*v**2 + 436 + 15*v**3 + 42*v**2.
15*v**3
Collect the terms in 186*v**3 + 38*v**3 + 31 - 225*v**3.
-v**3 + 31
Collect the terms in -3*i + 33 - 114 + 12 + 34 + 35.
-3*i
Collect the terms in 6 - 29*g**2 + 0*g + 2*g - 17.
-29*g**2 + 2*g - 11
Collect the terms in -432*r**3 - 445*r**3 + 832*r**3.
-45*r**3
Collect the terms in -3*h + 74731016478 - 74731016478.
-3*h
Collect the terms in -7*q - 28*q + 3 + 12*q - 3.
-23*q
Collect the terms in 8248*a**2 + 10*a**3 + 8242*a**2 + 8249*a**2 - 24739*a**2.
10*a**3
Collect the terms in 15*r**3 - 26*r**2 + 16*r**2 + 61*r**3.
76*r**3 - 10*r**2
Collect the terms in -5*s + 1795 + s + 3*s + 1519.
-s + 3314
Collect the terms in 1025*b**3 - 9 - 519*b**3 - 515*b**3 + 12 - 3.
-9*b**3
Collect the terms in 293*k**2 + 242*k**2 - 259*k**2.
276*k**2
Collect the terms in -33*y**2 - 206354*y + 206354*y.
-33*y**2
Collect the terms in -32*q - 721 - 686 + 1407.
-32*q
Collect the terms in j**2 - 13*j**3 + 51 + 117 - 168.
-13*j**3 + j**2
Collect the terms in -23*b**2 - 21*b**3 - 7*b**2 + 19*b**3 - 29*b**2.
-2*b**3 - 59*b**2
Collect the terms in -9*y**3 - 2106221 + 2106221.
-9*y**3
Collect the terms in 13 + 3*s - 2*s - 11 - 3*s.
-2*s + 2
Collect the terms in 131*u - 280*u - 50 + 148*u.
-u - 50
Collect the terms in 7*r**3 + 852*r**2 - 8*r**3 - 1706*r**2 + 17*r**3 + 854*r**2.
16*r**3
Collect the terms in -27436 + 226*g + 27436.
226*g
Collect the terms in 30372 + 12*c - 30372.
12*c
Collect the terms in 577640*b**2 - 1155290*b**2 + 577648*b**2.
-2*b**2
Collect the terms in 11*v**3 + 15*v**3 + 447*v**3.
473*v**3
Collect the terms in m**2 - 834*m**3 + 6*m**2 - 8*m**2 - m**2.
-834*m**3 - 2*m**2
Collect the terms in -x - 95*x**2 + x + 16*x**2 - 77*x**2.
-156*x**2
Collect the terms in 6*j**2 - 655297727*j + 655297727*j.
6*j**2
Collect the terms in 281*f - 281*f - 2325*f**2 + 2305*f**2.
-20*f**2
Collect the terms in -4166*p + 8024*p + 8861*p + 6682*p.
19401*p
Collect the terms in 44 - 44 - 5025*s**3.
-5025*s**3
Collect the terms in 9*p + 266*p + 179*p - 108*p.
346*p
Collect the terms in i - 479 + i**3 + 3*i + 88 - 4*i + 391.
i**3
C
|
{
"pile_set_name": "DM Mathematics"
}
|
145.69, -3?
-0.34
What is the second biggest value in 53, -13, 0.063, 0.06, 4?
4
Which is the biggest value? (a) 436 (b) 339 (c) -53 (d) 4 (e) -3/5
a
Which is the second smallest value? (a) -13/217 (b) -6 (c) -13.3
b
What is the smallest value in 20, 166, 3, -2.5937, -5?
-5
Which is the third biggest value? (a) 3 (b) -285 (c) -0.06 (d) 1150
c
Which is the third biggest value? (a) 2 (b) -3/4 (c) -3 (d) 1150 (e) 20/9 (f) 5
e
What is the third biggest value in -2, -16, -0.1, 2, -1.1826?
-1.1826
What is the fifth biggest value in -2/41, 5, -12, -52, -2/15, -4, 0.06?
-4
What is the third smallest value in 1/8, -8, -3225/94?
1/8
Which is the biggest value? (a) -638 (b) 1 (c) -3 (d) -0.924 (e) 2/17 (f) 0.4 (g) 0.1
b
Which is the fourth biggest value? (a) -4.8 (b) -66 (c) -10 (d) 0.5 (e) 1
c
What is the second biggest value in 12, -132999/5, 4/9?
4/9
What is the smallest value in -17/489, 11/4, 0.2?
-17/489
Which is the fourth biggest value? (a) 6 (b) 0 (c) -1/5 (d) 15/8 (e) -0.03649
e
Which is the second smallest value? (a) -0.1 (b) -2/235369 (c) -0.12
a
Which is the smallest value? (a) -5489 (b) 5 (c) 0.4 (d) 1098
a
Which is the biggest value? (a) 0.054 (b) 3/29 (c) 74 (d) 135
d
Which is the sixth smallest value? (a) -0.03605 (b) 5 (c) -3 (d) -4 (e) 1 (f) 18
f
What is the third smallest value in -0.322, -4588.8, 0.1?
0.1
Which is the third biggest value? (a) -4/2061 (b) 3 (c) 39/8
a
What is the smallest value in 453, 4931, 13?
13
Which is the third biggest value? (a) 4 (b) 18.5 (c) -8/7 (d) 0.05 (e) 59/2
a
What is the biggest value in 9, 1/639, -8/13?
9
Which is the third smallest value? (a) 13 (b) 2/5 (c) 6 (d) 2 (e) -13 (f) -0.4
b
What is the fourth smallest value in 1.3, 0.01605, 3, 8/3?
3
Which is the sixth biggest value? (a) 0 (b) 1 (c) 0.967 (d) -3 (e) 0.14451 (f) 4
d
Which is the smallest value? (a) 0.3 (b) -17 (c) 27 (d) -33/7
b
Which is the biggest value? (a) -0.2 (b) 0.3 (c) -3/8 (d) -1454 (e) 10 (f) -3 (g) 2/17
e
What is the smallest value in 2/5, -4, -0.156, -3, 21/505, -6?
-6
Which is the third biggest value? (a) 17 (b) -1/6 (c) 26 (d) -1/292
d
What is the biggest value in -1, -2/3, -14.9, -7/534, -1/4?
-7/534
Which is the third biggest value? (a) 1/4 (b) -0.5 (c) 1/58 (d) 2 (e) -8713
c
Which is the sixth smallest value? (a) -831 (b) 12 (c) -3/8 (d) -62 (e) -2 (f) -5 (g) -0.3
g
Which is the smallest value? (a) 1/7 (b) 3/8 (c) 9 (d) 18/5 (e) -527/4
e
Which is the third biggest value? (a) 1453.4 (b) 804 (c) 2
c
Which is the third smallest value? (a) -76 (b) -4 (c) 0.114 (d) 4/15
c
Which is the fourth smallest value? (a) -1/3 (b) -110 (c) -1949 (d) -12
a
Which is the second biggest value? (a) -5 (b) 1/9 (c) -7042 (d) 8556
b
Which is the biggest value? (a) 0.05 (b) 34 (c) -3 (d) 8 (e) 4/5 (f) 75 (g) 0.5
f
What is the biggest value in -1, -0.282, 35/2, -3.566?
35/2
Which is the fourth smallest value? (a) 3 (b) 159040.86 (c) -3 (d) 2
b
Which is the fifth smallest value? (a) 2 (b) -0.66 (c) -0.7 (d) 1/7 (e) -4
a
What is the second biggest value in 73.12, 0, 1/4, -2/5, -3528?
1/4
Which is the fourth biggest value? (a) 1/2 (b) 0.03 (c) -4 (d) -6 (e) 1/5647
c
What is the biggest value in 50, 0.3, -5, 1/6, 2, 12.39, -0.3?
50
What is the second biggest value in 4134, -35, -1, 1, -3, -24, 0.02?
1
Which is the third smallest value? (a) 1 (b) -3 (c) -2/11 (d) 2 (e) 2/39 (f) 59/4 (g) -2/3
c
Which is the second smallest value? (a) -5 (b) -208 (c) -3/4 (d) -123 (e) 1/5
d
Which is the sixth biggest value? (a) -0.5 (b) 18 (c) -0.01 (d) -99 (e) 4 (f) 19 (g) 3
a
Which is the smallest value? (a) 702 (b) -35 (c) -22.3 (d) 0 (e) -5 (f) 0.07
b
Which is the second biggest value? (a) 15 (b) -3 (c) -214.7 (d) 1/3 (e) -2/9
d
Which is the third biggest value? (a) 1.4 (b) 0.3 (c) -0.01 (d) 16/1201
d
What is the third biggest value in -50, 3, 1, -0.269, -36?
-0.269
Which is the fifth smallest value? (a) -0.5 (b) 0 (c) -3422 (d) -4 (e) -19 (f) 5 (g) 4
b
Which is the third biggest value? (a) 3 (b) -1.249 (c) -3 (d) -1 (e) -5 (f) 5
d
Which is the biggest value? (a) 0.5 (b) -43 (c) 535/123
c
Which is the second smallest value? (a) 0 (b) -13/25289 (c) -4 (d) -0.4
d
What is the smallest value in 419, 0.164, -10.4, 5, 2/5?
-10.4
What is the second smallest value in -0.37, 2378, 0?
0
Which is the biggest value? (a) 1552 (b) 0.259 (c) 0.2 (d) -28
a
What is the third biggest value in 6, 4/15, 5, -1/7, -5, 7, 14.9?
6
What is the second smallest value in 30431/6, -0.3, -55?
-0.3
Which is the fourth biggest value? (a) 1/3 (b) 11150 (c) 27 (d) 2/3 (e) 5 (f) -5 (g) 2
g
What is the fifth biggest value in -2/9, -4, -1/6, 0, -1/4, 37, 48/359?
-2/9
What is the second smallest value in 0.5, -2, -0.06293, 0.007?
-0.06293
What is the fourth smallest value in 1/3, 246595, -2/7, 0, -3?
1/3
Which is the biggest value? (a) 2/11 (b) 0.5 (c) -1/5 (d) 0.1 (e) 2/153101
b
Which is the sixth smallest value? (a) -220/9 (b) -3/2 (c) 4 (d) 21/5 (e) -0.5 (f) 0.02 (g) 1/10
c
Which is the biggest value? (a) 73 (b) -26197 (c) -0.1 (d) -0.7
a
Which is the fifth smallest value? (a) 5 (b) 0 (c) 11679 (d) 0.4 (e) -2 (f) 2/43
a
Which is the third biggest value? (a) 607 (b) 4 (c) 0.2 (d) 306 (e) -2/11
b
Which is the fourth smallest value? (a) 4/11 (b) -0.05 (c) 2/7 (d) 0.612 (e) 25
d
Which is the fifth biggest value? (a) 1/6 (b) 2/3 (c) 9 (d) 8/5 (e) -1/2 (f) 2/5 (g) -31
a
Which is the second smallest value? (a) 4 (b) 36 (c) 2 (d) -661 (e) -3
e
Which is the smallest value? (a) -3 (b) 0.15 (c) -0.5 (d) 459.93
a
What is the biggest value in 1, -9, -4, 252/11?
252/11
Which is the second biggest value? (a) -0.29 (b) 0.09 (c) -8.112
a
What is the third smallest value in 0.3, -24/103, -375, 3, 5, 6?
0.3
What is the fifth biggest value in 5, 13, -3525, 5/3, -4?
-3525
Which is the biggest value? (a) 2 (b) 32 (c) 0.12 (d) 1 (e) 47 (f) 3/8
e
What is the fourth smallest value in 0.5, 3, 12.99, -66?
12.99
Which is the fifth smallest value? (a) -8/11 (b) 19 (c) 3 (d) 10 (e) 0.09
b
Which is the fourth smallest value? (a) 0.8 (b) 3 (c) 37 (d) 154
d
Which is the fifth smallest value? (a) -2/9 (b) -0.067 (c) -5 (d) -20 (e) 1/17 (f) -0.05
f
Which is the smallest value? (a) 2 (b) 29 (c) 0.67 (d) 0.11 (e) -5/3
e
Which is the fourth biggest value? (a) -11 (b) 2 (c) -7563 (d) 0.1 (e) 4 (f) -4 (g) 19
d
What is the biggest value in -424, -3/8, -81.1, -2/11, -1.2?
-2/11
What is the second smallest value in 80046, -3.52, 0.07?
0.07
What is the third smallest value in 0.0373, -3, 1, -1, -4, -0.03?
-1
Which is the third smallest value? (a) 5 (b) -211/11 (c) 704
c
Which is the biggest value? (a) 163/5 (b) 721 (c) -1/6 (d) -266
b
Which is the fourth biggest value? (a) 57 (b) -0.1 (c) 1/2 (d) 0.4 (e) -0.02 (f) 0.06 (g) 1
d
What is the biggest value in 2, 0.1, 378, -2/15, 0, 129?
378
Which is the second biggest value? (a) -0.1 (b) 3/5 (c) -6554 (d) 0.04 (e) -2/3
d
Which is the third smallest value? (a) -4 (b) 2 (c) -253074.45
b
What is the fourth smallest value in -0.11, 29/5, 4, 10460?
10460
What is the fourth smallest value in -2.6, -4, -0.2, -61, 206?
-0.2
Which is the biggest value? (a) 2/7 (b) 5 (c) 42 (d) -0.168 (e) -2/743
c
What is the second smallest value in 5, -0.3, 2, -0.19701737?
-0.19701737
Which is the fourth smallest value? (a) -4 (b) 1 (c) 0.7 (d) -29/989 (e) 2/7
c
Which is the third smallest value? (a) 74/9 (b) 11918 (c) 2/19 (d) -1/3 (e) -4
c
Which is the smallest value? (a) 26 (b) -4/7 (c) -41319
c
Which is the fifth biggest value? (a) 45/2 (b) -3/8 (c) 1092 (d) 3 (e) 5
b
Which is the sixth biggest value? (a) -103 (b) -0.04 (c) -2/9 (d) -3/4 (e) -1 (f) -3
a
What is the fourth biggest value in 0.253, 3, -2, -177?
-177
What is the third smallest value in -0.492, -2, -56/25?
-0.492
Which is the fourth biggest value? (a) 5 (b) 1/84 (c) 1 (d) -0.1 (e) -10 (f) 4
b
Which is the third biggest value? (a) -349 (b) -2/9 (c) 1/5 (d) -1/10 (e) -5 (f) -4 (g) -1
b
Which is the fifth bigge
|
{
"pile_set_name": "DM Mathematics"
}
|
t = 23 - -26. Let n(v) = -v**2 + 21*v - 3. What is the remainder when t is divided by n(20)?
15
Let p be (3 + 2/6)*-33. Let o = -63 - p. Suppose 123 = 2*m + o. Calculate the remainder when m is divided by 13.
12
Let r(l) = 12*l - 22. Let x be r(7). Let i = x + 62. Calculate the remainder when i is divided by 32.
28
Let a(z) = -z**2 + 13*z - 5. Let h be a(6). Suppose -h + 207 = 5*b. Suppose -33 - 3 = -3*o. Calculate the remainder when b is divided by o.
10
Let p be -3 + 1*198 + 5. Let w be (-6)/9*(-207)/(-1). Let a = w + p. What is the remainder when a is divided by 16?
14
Let f(t) = -t**2 + 7*t - 12. Let d be f(9). Let z be (500/d)/(1/3). What is the remainder when 45 is divided by (-78)/(-5) - 20/z?
13
Let c = 537 - 528. Suppose -w = -2*w + 33. Calculate the remainder when w is divided by c.
6
Let g = 51 - 59. What is the remainder when 30 is divided by (0 + -2)*(-12)/g*-3?
3
Suppose 0 = 2*n - 20 - 14. What is the remainder when -87*(-50)/(-60)*-1*8/10 is divided by n?
7
Let y = 24 + 19. Calculate the remainder when y is divided by -1 + (-30)/8*80/(-12).
19
Suppose -2*n + 3*u = -0*u - 1, -5*u + 65 = 5*n. What is the remainder when n is divided by 5?
3
Suppose 10*u + 8*u = 8*u. Suppose -2*x + 52 = -u*x. Let r(w) = -11*w - 1. Calculate the remainder when r(-7) is divided by x.
24
Let m = 9 + 10. Let c = 92 + -136. Calculate the remainder when m is divided by (-6)/33 + (-492)/c.
8
Suppose 4*k - 437 = -13. Let m = 495 - 440. Calculate the remainder when k is divided by m.
51
Let o(d) = -d**3 - 5*d**2 + 8*d + 4. Let a be o(-6). Let m(b) = -3*b + 10. Let i = 92 + 8. What is the remainder when i is divided by m(a)?
32
Let x = -4 - -9. Let a be (x/(-3)*-3)/1. Suppose a*b - 5 = 15. Calculate the remainder when 6 is divided by b.
2
Suppose 0 = -7*r - 0*r + 28. Suppose -3*a - t + 45 = 0, r*a - 3*t - 55 = -8. What is the remainder when 83 is divided by a?
13
Let g(q) = -q**3 + 12*q**2 + 32*q - 18. What is the remainder when 104 is divided by g(14)?
28
Let t = 9 + -6. Suppose 4*h = 3*p - 18, -5*h + 12 = t*p - p. Let v(c) = -c**2 + 7*c + 6. What is the remainder when 22 is divided by v(p)?
10
Suppose -5*c - 3*w + 750 = 2*w, -5*c + 5*w = -710. Calculate the remainder when c/5 - (-11)/(-55) is divided by 6.
5
Let y = -931 - -1048. What is the remainder when y is divided by 11?
7
Let c = -23 + 91. Calculate the remainder when c is divided by 16.
4
Let c = 58 - -463. What is the remainder when c is divided by 106?
97
Suppose 4*f + 2 = -3*u - 1, 0 = 3*f + 5*u + 16. Let r = 3 + f. Calculate the remainder when r is divided by (-12*(-6)/96)/((-2)/(-8)).
0
Let r be -2 + 5 + -3 + 4. Suppose 4*b - b + 3*d - 24 = 0, -r*d = -5*b - 5. What is the remainder when (-6)/10 - (-280)/50 is divided by b?
2
Let g(s) = -128*s**3 - 5*s - 13. What is the remainder when g(-2) is divided by 31?
29
Let g = 20 - 15. Suppose 7 + 13 = -5*y, -g*w - y = -21. Suppose -66 = -4*u + 2*u + 2*o, -4*u - w*o + 114 = 0. What is the remainder when u is divided by 16?
15
Suppose -2*t + 528 = -6*t. Let a = t + 191. Suppose 0 = -5*r + 4*r + 31. What is the remainder when a is divided by r?
28
Suppose -4*w + 1481 + 47 = 0. What is the remainder when w is divided by 24?
22
Let u(s) = -13*s + 484. Suppose 7 + 13 = 5*r. Calculate the remainder when u(36) is divided by r.
0
Let i(s) = -6*s - s**2 + s + 15 - s. What is the remainder when 78 is divided by i(-5)?
18
Let k(u) = 60*u - 316. What is the remainder when 223 is divided by k(7)?
15
Suppose 4*w - 3*f = -3 - 0, 3*w - 5*f - 6 = 0. What is the remainder when 1/w - (-852)/18 is divided by 12?
11
Let v = 2 + 14. Let x(m) = m**3 - 3*m**2 - 3*m - 3. Let d be x(4). Let b = d - -61. What is the remainder when b is divided by v?
14
Let v(c) = 6*c - 38. Suppose 10*t = 21 + 49. Calculate the remainder when v(t) is divided by 16/6 - (-2)/6.
1
Let c = 30 + -23. Suppose 3*j = -4*s + 47, 0*j + 5*s = -j + 23. Calculate the remainder when j is divided by c.
6
Let p(b) = 3*b - 10. Let k(n) = -2*n + 5. Let i(o) = -5*k(o) - 3*p(o). Let r be i(3). Suppose -2*u + r = -16. What is the remainder when u is divided by 4?
0
Suppose 0 = 186*q - 189*q + 3*x + 930, 1552 = 5*q - 3*x. Calculate the remainder when q is divided by 15.
11
Suppose 9*r - 7*r = -8, -93 = -5*l - 3*r. What is the remainder when l is divided by 13?
8
Suppose 30 = i + 5*t, -246 = -4*i - i - t. Suppose 42*u - 44*u = -i. Calculate the remainder when 47 is divided by u.
22
Let w = 8 - 5. Let b(q) = 3 + 37*q**3 - 38*q**3 - 2*q**2 - 3*q**2. What is the remainder when b(-5) is divided by w?
0
What is the remainder when ((-324)/243)/(4/(-747)) is divided by 65?
54
Suppose -2041 = -6*c - 1159. Calculate the remainder when 280 is divided by c.
133
Suppose -11*d = 12*d - 677 - 82. Let p(a) = a**3 + 5*a**2 + 7*a - 4. Let v be p(-6). Let b = v - -145. What is the remainder when b is divided by d?
30
Let g = -37 + 64. Suppose -3*t - 108 = -9*t. Suppose -32 - t = -5*d. Calculate the remainder when g is divided by d.
7
Let z be 144/10 - 4/10. Let f be (-4)/z*63/(-3). Calculate the remainder when 30 is divided by 8/6 - (-88)/f.
14
Let d be (1/4*-53)/((-1)/4). Suppose 0 = 4*f + a - 51, a = 4*f - d + 8. What is the remainder when f is divided by 2?
0
Let x = -2 - 0. Suppose -5*j + 2*z - 52 = 0, 2*j + 44 = -2*z - 3*z. Calculate the remainder when (x/(-3))/((-4)/j) is divided by 2.
0
Suppose 0 = -k + y + 61, 0 = k - 3*k + 5*y + 113. What is the remainder when k is divided by 9?
1
Suppose 4*r + 3*q = 243, 65 = r + 3*q + 2*q. Suppose x - r = -4*x. What is the remainder when 57 is divided by x?
9
Suppose 4*t + 5*q = -21, -3*q - 2 - 1 = 0. Let y(r) = -2*r**3 - 4*r**2 - 4*r - 1. What is the remainder when y(t) is divided by 20?
19
Suppose 3*l + 5*z + 5 = -18, -17 = 5*l + 3*z. What is the remainder when 14 is divided by (14/4*4)/(l + 2)?
0
Let y(v) be the first derivative of 4*v**3/3 + 3*v**2 - 4*v + 4. Calculate the remainder when y(-6) is divided by 36.
32
Let x(y) = y**2 - 21*y + 119. What is the remainder when x(18) is divided by 34?
31
Suppose -8 = 3*n - 8. Suppose 2*r + n = 6. Calculate the remainder when 23 is divided by r.
2
Let u = -17 - -15. Let a be (3/(-9))/(u/90). Let y = a + 36. Calculate the remainder when y is divided by 13.
12
Let v(c) = 3*c**2 + 5*c + 2. Let a(m) = -m**3 - 5*m**2 - 3*m - 1. Let o be a(-4). Suppose 0 = -3*q + 13 + 29. Calculate the remainder when v(o) is divided by q.
10
Let a(q) = 154*q - 599. What is the remainder when a(4) is divided by ((-2)/(-3))/(4/18)?
2
Suppose 2*t - 17 = -8*a + 3*a, 5*a - 3*t - 37 = 0. Calculate the remainder when 25 is divided by a.
0
Suppose -3*c + 165 = 4*p, -3*p - 2*c = 2*c - 122. What is the remainder when p is divided by 5?
2
Let l = -1 + -7. Calculate the remainder when 8 is divided by (l/(-12))/((-2)/(-15)).
3
Let j = 13 + -8. Let m(i) = 9*i**2 - 522*i + 29. Calculate the remainder when m(58) is divided by j.
4
Suppose -2*i + 146 + 62 = 5*j, 12 = 3*j. Suppose 3*l = 80 + i. What is the remainder when l is divided by 30?
28
Suppose 5*p + w - 226 = 0, -p - 6*w + 30 = -2*w. Calculate the remainder when p is divided by 11.
2
Suppose -5*i + 376 - 55 = -g, 0 = i + 2*g - 73. What is the remainder when i is divided by 23?
19
Let p = 13 - -9. Let n = 199 - 68. What is the remainder when n is divided by p?
21
Suppose -2*p + q = -814, -5*p - 205*q + 201*q + 2061 = 0. Calculate the remainder when p is divided by 107.
88
Suppose -3*a - 15 = -2*r + 9, 3*a + 30 = 3*r. Let v(c) = -c - 2. Let j be v(-1). What is the remainder when j*5/(-20) - (-110)/8 is divided by r?
2
Let u be 1 - ((-3)/1 + 2). Suppose 438 = 4*h + 2*x, -u*x + 286 = 5*h - 264. Calculate the remainder when h is divided by 38.
36
Suppose 2*v = -2*v + 12. Suppose -7*t + 64 = -v*t. Calculate the remainder when 62 is divided by t.
14
Suppose -3*o + 17 + 7 = 0. What is the remainder when o is divided by 6?
2
Suppose -2 + 14 = 4*q. Suppose -132 = -3*t - 3*u, 0*t - 2*t - q*u = -93. Calculate the remainder when t is divided by 10.
9
Let a = -237 + 248. Calculate the remainder when 427 is divided by a.
9
Let p(a) = -a**2 + 29*a - 59. What is the remainder when 68 is divided by p(26)?
11
Let g(v) = -v**2 - v + 75. Let y be g(0). Suppose y = -4*i + 431. Let x = i - 20. Calculate the remainder when x is divided by 24.
21
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
re there between 7:17 AM and 3:30 PM?
493
How many minutes are there between 10:33 AM and 10:05 PM?
692
What is 501 minutes before 4:46 AM?
8:25 PM
How many minutes are there between 3:04 PM and 7:41 PM?
277
What is 186 minutes after 5:55 AM?
9:01 AM
How many minutes are there between 8:07 AM and 8:42 AM?
35
How many minutes are there between 3:10 PM and 3:00 AM?
710
How many minutes are there between 5:46 AM and 8:51 AM?
185
How many minutes are there between 10:12 AM and 11:44 AM?
92
How many minutes are there between 4:46 PM and 3:46 AM?
660
What is 463 minutes after 3:25 AM?
11:08 AM
How many minutes are there between 7:50 AM and 11:12 AM?
202
What is 184 minutes before 6:43 PM?
3:39 PM
What is 586 minutes after 12:20 PM?
10:06 PM
How many minutes are there between 12:16 PM and 7:50 PM?
454
What is 49 minutes before 9:38 PM?
8:49 PM
How many minutes are there between 11:47 PM and 11:58 PM?
11
How many minutes are there between 6:29 PM and 3:17 AM?
528
What is 243 minutes after 5:20 AM?
9:23 AM
How many minutes are there between 7:46 AM and 2:44 PM?
418
How many minutes are there between 6:15 PM and 12:27 AM?
372
What is 610 minutes after 6:17 PM?
4:27 AM
How many minutes are there between 5:42 PM and 9:45 PM?
243
What is 700 minutes before 10:07 AM?
10:27 PM
What is 646 minutes before 12:39 AM?
1:53 PM
What is 699 minutes before 8:05 AM?
8:26 PM
How many minutes are there between 11:04 AM and 4:45 PM?
341
How many minutes are there between 6:09 PM and 11:04 PM?
295
How many minutes are there between 12:55 PM and 8:56 PM?
481
How many minutes are there between 8:16 PM and 6:28 AM?
612
How many minutes are there between 11:11 PM and 12:00 AM?
49
What is 424 minutes before 12:46 PM?
5:42 AM
How many minutes are there between 10:45 PM and 2:42 AM?
237
What is 240 minutes after 11:46 AM?
3:46 PM
What is 153 minutes before 4:41 AM?
2:08 AM
What is 592 minutes before 2:10 PM?
4:18 AM
How many minutes are there between 12:46 PM and 7:12 PM?
386
How many minutes are there between 11:01 AM and 7:47 PM?
526
What is 456 minutes after 3:04 PM?
10:40 PM
What is 82 minutes before 11:40 PM?
10:18 PM
How many minutes are there between 11:18 PM and 5:59 AM?
401
How many minutes are there between 3:16 PM and 10:06 PM?
410
What is 385 minutes before 11:27 PM?
5:02 PM
How many minutes are there between 7:29 PM and 5:05 AM?
576
How many minutes are there between 8:00 AM and 7:30 PM?
690
What is 170 minutes after 7:09 AM?
9:59 AM
What is 50 minutes after 1:44 AM?
2:34 AM
How many minutes are there between 12:21 PM and 1:01 PM?
40
How many minutes are there between 6:44 PM and 5:41 AM?
657
What is 110 minutes before 9:12 PM?
7:22 PM
How many minutes are there between 1:38 PM and 11:21 PM?
583
What is 546 minutes before 11:10 PM?
2:04 PM
What is 456 minutes after 2:08 AM?
9:44 AM
What is 401 minutes before 11:43 AM?
5:02 AM
How many minutes are there between 12:13 PM and 3:00 PM?
167
How many minutes are there between 11:49 AM and 10:35 PM?
646
How many minutes are there between 5:24 PM and 8:17 PM?
173
What is 524 minutes after 6:53 AM?
3:37 PM
What is 710 minutes after 10:10 PM?
10:00 AM
How many minutes are there between 7:49 AM and 8:24 AM?
35
What is 353 minutes before 1:35 PM?
7:42 AM
What is 250 minutes before 1:50 PM?
9:40 AM
What is 298 minutes after 2:54 AM?
7:52 AM
How many minutes are there between 11:25 AM and 2:56 PM?
211
How many minutes are there between 5:24 PM and 12:25 AM?
421
What is 462 minutes after 10:12 AM?
5:54 PM
What is 662 minutes after 9:44 PM?
8:46 AM
What is 457 minutes before 11:46 PM?
4:09 PM
How many minutes are there between 7:25 AM and 6:43 PM?
678
How many minutes are there between 10:37 AM and 9:53 PM?
676
How many minutes are there between 9:14 AM and 10:45 AM?
91
What is 238 minutes after 9:16 AM?
1:14 PM
How many minutes are there between 3:40 PM and 5:23 PM?
103
What is 366 minutes after 5:39 AM?
11:45 AM
What is 167 minutes before 1:53 PM?
11:06 AM
How many minutes are there between 1:26 PM and 6:12 PM?
286
What is 570 minutes before 2:59 AM?
5:29 PM
How many minutes are there between 9:06 PM and 2:38 AM?
332
What is 54 minutes after 5:41 AM?
6:35 AM
What is 679 minutes before 8:41 PM?
9:22 AM
How many minutes are there between 3:01 PM and 5:23 PM?
142
What is 687 minutes before 11:42 PM?
12:15 PM
How many minutes are there between 9:18 PM and 8:21 AM?
663
What is 402 minutes after 2:20 AM?
9:02 AM
What is 453 minutes after 7:49 PM?
3:22 AM
How many minutes are there between 9:35 PM and 9:29 AM?
714
What is 235 minutes after 5:13 AM?
9:08 AM
How many minutes are there between 9:45 AM and 2:11 PM?
266
What is 496 minutes after 2:20 AM?
10:36 AM
How many minutes are there between 2:56 PM and 11:24 PM?
508
How many minutes are there between 4:50 PM and 1:17 AM?
507
What is 581 minutes before 3:17 AM?
5:36 PM
What is 27 minutes after 9:08 PM?
9:35 PM
How many minutes are there between 4:13 AM and 3:35 PM?
682
How many minutes are there between 2:41 AM and 12:27 PM?
586
What is 332 minutes after 4:53 AM?
10:25 AM
What is 597 minutes after 5:22 AM?
3:19 PM
What is 462 minutes before 8:12 AM?
12:30 AM
What is 584 minutes before 4:33 PM?
6:49 AM
How many minutes are there between 6:23 AM and 12:22 PM?
359
How many minutes are there between 1:13 PM and 7:12 PM?
359
How many minutes are there between 8:19 AM and 4:27 PM?
488
How many minutes are there between 2:16 PM and 3:16 PM?
60
What is 195 minutes before 6:16 PM?
3:01 PM
How many minutes are there between 10:04 PM and 8:51 AM?
647
How many minutes are there between 11:50 PM and 10:34 AM?
644
What is 680 minutes after 9:33 PM?
8:53 AM
How many minutes are there between 2:30 AM and 2:29 PM?
719
How many minutes are there between 1:24 AM and 8:12 AM?
408
What is 520 minutes after 6:31 AM?
3:11 PM
How many minutes are there between 8:28 AM and 1:26 PM?
298
How many minutes are there between 4:47 AM and 7:26 AM?
159
How many minutes are there between 3:10 PM and 9:17 PM?
367
How many minutes are there between 1:29 AM and 1:41 AM?
12
What is 418 minutes after 8:16 AM?
3:14 PM
What is 160 minutes before 5:16 PM?
2:36 PM
How many minutes are there between 4:52 AM and 11:05 AM?
373
What is 446 minutes after 4:06 PM?
11:32 PM
How many minutes are there between 5:46 PM and 6:26 PM?
40
What is 457 minutes before 5:02 AM?
9:25 PM
What is 237 minutes before 7:58 AM?
4:01 AM
What is 130 minutes after 3:50 AM?
6:00 AM
What is 710 minutes after 7:02 AM?
6:52 PM
What is 48 minutes after 1:28 AM?
2:16 AM
What is 14 minutes after 1:20 PM?
1:34 PM
What is 90 minutes after 8:32 PM?
10:02 PM
How many minutes are there between 9:53 PM and 10:04 PM?
11
How many minutes are there between 5:16 AM and 6:45 AM?
89
How many minutes are there between 5:10 AM and 7:13 AM?
123
What is 472 minutes before 3:29 AM?
7:37 PM
What is 423 minutes before 9:23 PM?
2:20 PM
What is 127 minutes after 10:33 PM?
12:40 AM
How many minutes are there between 9:17 PM and 7:06 AM?
589
What is 414 minutes after 11:58 PM?
6:52 AM
How many minutes are there between 2:47 PM and 5:40 PM?
173
How many minutes are there between 11:28 PM and 9:00 AM?
572
How many minutes are there between 4:43 PM and 4:14 AM?
691
What is 416 minutes before 6:54 PM?
11:58 AM
What is 243 minutes before 10:40 AM?
6:37 AM
What is 719 minutes after 9:51 AM?
9:50 PM
What is 394 minutes before 4:51 AM?
10:17 PM
How many minutes are there between 6:22 AM and 3:07 PM?
525
How many minutes are there between 4:55 PM and 6:39 PM?
104
How many minutes are there between 2:17 AM and 7:21 AM?
304
What is 582 minutes after 1:34 AM?
11:16 AM
How many minutes are there between 8:46 AM and 10:29 AM?
103
What is 543 minutes before 4:12 PM?
7:09 AM
What is 428 minutes before 1:14 AM?
6:06 PM
How many minutes are there between 5:33 PM and 4:20 AM?
647
What is 539 minutes after 1:41 PM?
10:40 PM
How many minutes are there between 9:30 PM and 3:36 AM?
366
How many minutes are there between 11:02 PM and 10:02 AM?
660
What is 88 minutes after 10:15 PM?
11:43 PM
What is 236 minutes after 6:16 AM?
10:12 AM
What is 236 minutes before 8:28 AM?
4:32 AM
How many minutes are there between 7:53 PM and 7:20 AM?
687
How many minutes are there between 7:09 AM and 6:57 PM?
708
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
-5
Suppose h + 81 - 429 = 0. Put 3, h, -4 in decreasing order.
h, 3, -4
Let s = -21 - 16. Let k = s - -42. Let q(x) = -x**3 - x**2 + 2*x - 1. Let u be q(-2). Put 0, u, k in decreasing order.
k, 0, u
Suppose -4*j + 6 = -2*i, 2*j - 10 = 5*i - 3*j. Let h be (5/10)/((8/2)/(-2)). Put 0.3, i, h in decreasing order.
0.3, h, i
Suppose 162 - 165 = -3*t. Let u = 0.2 - 0. Sort u, -5, t in decreasing order.
t, u, -5
Let g = -1494/7 - -213. Let d = 18 + -13. Sort 3, d, g in ascending order.
g, 3, d
Let k = 385 - 6543/17. Let h(j) = -j**2 - j + 25. Suppose 0 = -3*f + p - 20, -f + 6*p = 2*p + 25. Let i be h(f). Sort k, -1, i in ascending order.
-1, k, i
Let q = -517 + 521. Let g = 3 - 3. Suppose -3*p + 5*w = 16, g*w = -3*p - 5*w + 34. Sort q, 2, p in increasing order.
2, p, q
Let t = -24 + 16. Let c = t + 10. Sort c, 0.2, 6 in ascending order.
0.2, c, 6
Let x = 315 + -311. Put x, -4, -1, -23 in descending order.
x, -1, -4, -23
Let g = -0.033 - 0.179. Let v = -0.012 - g. Put -3, -3/7, 3, v in descending order.
3, v, -3/7, -3
Let h = -1078 - -1073. Sort -2, 100, h, -4 in descending order.
100, -2, -4, h
Let h = 1 + 12. Let o = 13 + -13. Suppose 3*t = -5*l - 10, o = l + l + 3*t + h. Sort 2, l, 5 in descending order.
5, 2, l
Let f(i) = -i**3 - 5*i**2 + 102*i + 17. Let s be f(8). Put 9, s, 0.7, -0.1 in descending order.
9, s, 0.7, -0.1
Let z = 0 - -11. Let a = -19 + 39. Suppose k - a = 6*k. Put -3, k, z in decreasing order.
z, -3, k
Suppose -7*v + 2*v - 4*a = 0, 0 = -v + 3*a. Sort 1, v, 23.
v, 1, 23
Suppose 4*m = -24*m - 1400. Sort 4, m, 2, 3 in ascending order.
m, 2, 3, 4
Let l(x) = -x**2 - 5*x - 8. Let o(k) = -k**2 - 6*k - 8. Let b(j) = 2*l(j) - 3*o(j). Let i be b(-7). Suppose 15 - 3 = -4*n. Sort n, 5, i in descending order.
5, i, n
Let o = 1.06 - 0.56. Put 0.3, 3/7, -1/5, o in decreasing order.
o, 3/7, 0.3, -1/5
Let h = 2.384 + -0.384. Sort 3/2, h, 0.6, -0.4.
-0.4, 0.6, 3/2, h
Let v(s) = 2*s**2 + 5*s - 4. Let i be v(4). Let y be (-4)/(-14) - i/315. Suppose 0 = 4*h + 3*w - 14, 3*w - 10 = -4*h - 2*w. Sort 0, y, h in descending order.
h, y, 0
Let v = -22 - -27. Put 1, -12, v, -1 in decreasing order.
v, 1, -1, -12
Suppose -4*j - 5*m = 37, -4*j = -5*j - 3*m - 4. Let l(p) = -p**2 + 12*p - 22. Let s be l(7). Let o = s + j. Sort o, 7, -4 in descending order.
7, o, -4
Let c = -43.3 - 4.7. Let k = 52 + c. Sort -1/5, 0.4, -1/4, k in descending order.
k, 0.4, -1/5, -1/4
Suppose 33*y = 27*y. Suppose 38*z - 35*z = 15. Put y, -4, -3, z in decreasing order.
z, y, -3, -4
Let j = -1.9068 - 0.0932. Put 0.1, j, -2/15, 5/6 in decreasing order.
5/6, 0.1, -2/15, j
Suppose -12*k - 102 = -15*k. Let o = k - 31. Sort o, -2, -13 in descending order.
o, -2, -13
Let f be 56/(-21) - (3 - 5). Put 13, f, -0.4 in increasing order.
f, -0.4, 13
Let v be (-5 - -6)*-10*(-3 + 35/14). Suppose -4*p - 13 + 1 = 0. Put 7, p, v in descending order.
7, v, p
Let s = -0.13 + 0.13. Put s, -4, -2 in decreasing order.
s, -2, -4
Let c = -45.6 + 2.6. Put -5, 3, c in ascending order.
c, -5, 3
Let l be (30/(-25))/((-6)/20). Let f(j) = j**3 - 10*j**2 + 15*j + 8. Let h be f(8). Sort l, h, -3, -1 in ascending order.
-3, -1, h, l
Let n be 1/(6/(-8) - -1). Let w(b) = b**3 - 26*b**2 - 25*b - 56. Let l be w(27). Sort l, 1, n, 5.
l, 1, n, 5
Let s(x) = 2*x**3 - 4*x**2 - 4*x + 12. Let t be s(2). Put 5, 3, t, 0 in decreasing order.
5, t, 3, 0
Let q = -18.035 + 0.035. Let a = -21 - q. Put -0.2, a, 0 in ascending order.
a, -0.2, 0
Let i = -2032 + 2037. Sort i, 38, -12 in descending order.
38, i, -12
Let f(b) = b - 6. Let m be f(5). Let z = -8 - -56. Let r = z + -43. Sort r, m, -2.
-2, m, r
Let f = 991 + -997. Let c = -13 - -8. Sort 3, -2, c, f in ascending order.
f, c, -2, 3
Suppose 2 - 12 = 5*y, -l - 5 = 2*y. Let h = -2692/3 - -897. Put 0.2, 0.1, h, l in increasing order.
l, h, 0.1, 0.2
Suppose 0 = -3*d + h + 19, 0 = 3*d - 2*h + 4 - 27. Suppose 0 = k + 5*j + 3 - 21, d*k + 2*j = 21. Suppose -5*x = -2*x + 3. Sort k, 1, x.
x, 1, k
Suppose 4*c - 2*s = -s - 7, c - 2*s + 7 = 0. Let j = 9 - 4. Let i = -1536 + 1537. Sort i, j, c in descending order.
j, i, c
Let i be (57/(-12))/(10/40). Sort -2, 1, i in ascending order.
i, -2, 1
Let a = -8.63 - -9. Let t = a - 0.27. Put 3, t, -0.21, 5 in increasing order.
-0.21, t, 3, 5
Let x be ((-435)/(-426) - 1)/(0 + 3). Let u = x + 269/2130. Let m be 5/2*8/190. Sort m, -0.4, u in increasing order.
-0.4, m, u
Let d = 0.669 - 1.069. Put 0.4, -0.016, d in decreasing order.
0.4, -0.016, d
Let y = 84 - 89. Put y, -4, -1/4, -11/5 in decreasing order.
-1/4, -11/5, -4, y
Suppose 4*z = -0*z + 8. Suppose z*x + 2*x + 4*i = -4, -5*x + 3*i = -19. Sort -1, 0, x in decreasing order.
x, 0, -1
Let v = -169/85 + 10/17. Let s = 0.12 + -0.52. Sort 0, v, s in ascending order.
v, s, 0
Let o be (6 - (-108)/(-16))*4. Suppose 20 = 4*p - 3*l - 0, -l - 4 = 0. Suppose -2*a = -d + 3, -d - 17 = 5*a - p*a. Sort -2, o, a in descending order.
-2, o, a
Let b = -0.41 - -0.01. Let w be 6 - (-8 + (-108)/(-8)). Sort -4/11, w, b, -1 in ascending order.
-1, b, -4/11, w
Suppose -6 = -x - 5, 0 = -4*w + x - 89. Put w, 1, 3 in descending order.
3, 1, w
Let b = 283 + -285. Put 5, b, 14 in increasing order.
b, 5, 14
Let y(r) be the second derivative of r**4/12 + r**3/3 + r**2 - r. Let t(m) = -2*m + 1. Let i be t(1). Let w be y(i). Put 0, -5, w in ascending order.
-5, 0, w
Let r = 0.21 - 0.14. Let u = 13 - 16. Let w = 4 + u. Put r, -0.1, w in descending order.
w, r, -0.1
Let q be 3/2*(-5)/30. Let h = -2 - 9. Let n = 7 + h. Sort n, q, -2.
n, -2, q
Let z be 1 - (4/(-1) + -2 + 9). Sort z, 22, 4, -1 in decreasing order.
22, 4, -1, z
Let k(d) = 2*d + 8. Let o be k(3). Let y be ((48/o)/4)/((-1)/(-7)). Put -1, -5, 4, y in descending order.
y, 4, -1, -5
Let w(y) = -y**3 + 5*y**2 + 7*y - 9. Let u be w(6). Let n be u + 0 + -13 + 11. Let z = -1 + -1. Put z, n, 1 in descending order.
1, z, n
Let k = 2132 - 2129. Put -2, 30, k in increasing order.
-2, k, 30
Let c = -0.06 - 5.94. Let o = -84.1 - -83.9. Sort c, 3/2, o in descending order.
3/2, o, c
Let o = -27 - -31. Let k be -2 - -2*10/o. Suppose -v = -4*h + 18, 2*h + 3*v - 14 = -k*h. Sort 3, h, -5 in increasing order.
-5, 3, h
Suppose -4*u = -5*u + 1. Let l = 7 - 10. Let q = 225 + -221. Put u, l, q in descending order.
q, u, l
Let n(u) = u**2 - 8*u + 23. Let k be n(6). Put 0.2, 2, -4, k in decreasing order.
k, 2, 0.2, -4
Let n = -0.4 - 0.1. Suppose 22 = x + 3*h, 4*x = -0*x + 4*h + 24. Let b = x + -3. Sort -2, n, b in descending order.
b, n, -2
Let t = 0.82 - 0.86. Let d = 1 + -1.04. Let r = t - d. Put -0.1, -2, r in increasing order.
-2, -0.1, r
Let u be 1/(-3)*(-75)/5. Let x(o) = o**2 + 9*o + 12. Let t be x(-7). Sort u, 2, t in decreasing order.
u, 2, t
Let z = 6.67 - 0.07. Let f = z + -6.2. Let m = 4 - 2. Sort 4, m, f.
f, m, 4
Let l = 0.33 + -73.33. Let p = 78 + l. Put 1/4, 3, -0.07, p in ascending order.
-0.07, 1/4, 3, p
Let d = 5 + 2. Let x = -34 - -29.6. Let y = 0.4 + x. Sort d, y, -0.4.
y, -0.4, d
Let n = 4 + -6. Let s = -41 - -42.8. Let u = n + s. Put -0.5, -3, u in increasing order.
-3, -0.5, u
Let i = -121.21 - -123. Let f = i - 0.19. Let p = f + 3.4. Sort -2, p, -3 in ascending order.
-3, -2, p
Let m = -0.441 - -0.341. Put -2, -3, m, 3 in increasing order.
-3, -2, m, 3
Let q = 1051/1170 - -1/585. Let h = -3/2 + q. Let x = 4 - 4.1. Sort x, h, 3.
h, x, 3
Suppose -4*h + 3*i + 28 = -62, -4*i = -4*h + 92. Let a be 2/4*(h - 23). Sort -10, 2, -3, a in descending order.
2, a, -3, -10
Let x = -1 - -1. Let d = -26 - -32. Let g be 3/d + 14/(-4). Sort x, g, -1.
g, -1, x
Suppose k = -4*y - 180, y + 52 = k + 2. Let j = -42 - y. Put 0, j, 2, 1 in increasing order.
0, 1, 2, j
Suppose 5*i - 20*k + 23*k - 13 = 0, 4*i - 13 = -5*k. Sort 7, i, 1, 8 in increasing order.
1, i, 7, 8
Let d(n) = 6*n**2 + 15*n - 66. Let g be d(3). Put -5, g, -1.5 in decreasing order.
g, -1.5, -5
Let j = 23.77 + -0.07. Let a = -24 + j. Sort 3, -2, a in descending order.
3, a, -2
Suppose -3*u - f + 2 = 3*f, -5*f = 5*u - 5. Let l(r) = r**3 - 2*r**2 + r + 2. Let g be l(-1). Put u, -1, g in increasing order.
g, -1, u
Suppose -263*t + 257*t = 6. Put -2, -37, t in descending order.
t, -2, -37
Let q = 32 + -36. Suppose t + k - 3 + 0 = 0, k = -4*t + 9. Put -0.2, t, 5, q in ascending order.
q, -0.2, t, 5
Let h = -0.07 - 0.03. Let p = -5.9 - -5.
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from rmgmmmmgrmmrmmm?
1/105
What is prob of picking 1 o and 1 u when two letters picked without replacement from uuuoouuuuuuuuuuuuuu?
34/171
Calculate prob of picking 2 g and 2 k when four letters picked without replacement from {k: 9, g: 5}.
360/1001
Two letters picked without replacement from zizzzviv. What is prob of picking 2 z?
3/14
Calculate prob of picking 2 g and 1 c when three letters picked without replacement from {c: 6, h: 1, m: 2, w: 2, g: 6, a: 3}.
3/38
What is prob of picking 1 z, 2 f, and 1 a when four letters picked without replacement from fafaazfaaafaa?
48/715
Calculate prob of picking 1 o and 1 y when two letters picked without replacement from qyoouoyxyoyuqqxuxy.
20/153
What is prob of picking 2 m and 1 o when three letters picked without replacement from {m: 3, o: 3, d: 1, z: 6, h: 3}?
9/560
Four letters picked without replacement from yyyyyyyydyyddddyyy. What is prob of picking 3 y and 1 d?
143/306
What is prob of picking 1 l and 3 y when four letters picked without replacement from {o: 2, l: 2, p: 4, y: 4, b: 5}?
2/595
Two letters picked without replacement from {d: 3, p: 3, k: 5, t: 3, v: 2}. What is prob of picking 1 p and 1 k?
1/8
Calculate prob of picking 4 w when four letters picked without replacement from wwjwwwwwwjwwjwww.
11/28
Three letters picked without replacement from acxx. What is prob of picking 3 a?
0
Calculate prob of picking 1 h and 1 s when two letters picked without replacement from hsnyyh.
2/15
Calculate prob of picking 2 h when two letters picked without replacement from {z: 1, h: 2, t: 1, p: 1, w: 1, y: 2}.
1/28
Two letters picked without replacement from tdbbd. Give prob of picking 1 t and 1 d.
1/5
Three letters picked without replacement from {c: 3, k: 3, z: 3, r: 1, u: 1, h: 3}. Give prob of picking 2 c and 1 u.
3/364
Calculate prob of picking 2 f when two letters picked without replacement from zfffffff.
3/4
Three letters picked without replacement from {q: 3, g: 4}. What is prob of picking 3 g?
4/35
Calculate prob of picking 3 b when three letters picked without replacement from {r: 1, b: 14}.
4/5
Three letters picked without replacement from wuuuuttuuuttttuttut. What is prob of picking 3 t?
28/323
What is prob of picking 2 m and 2 l when four letters picked without replacement from {l: 5, m: 11}?
55/182
Two letters picked without replacement from {o: 9}. Give prob of picking 2 o.
1
Calculate prob of picking 2 g when two letters picked without replacement from {l: 8, g: 2}.
1/45
What is prob of picking 1 e and 1 n when two letters picked without replacement from nnmhmnnneeheemekmnhh?
3/19
What is prob of picking 2 q and 1 j when three letters picked without replacement from qqqqqjqqjqq?
24/55
Calculate prob of picking 1 z and 2 l when three letters picked without replacement from {v: 2, z: 4, l: 4}.
1/5
Four letters picked without replacement from {e: 2, q: 4}. Give prob of picking 4 q.
1/15
Calculate prob of picking 2 r when two letters picked without replacement from rnnrr.
3/10
Calculate prob of picking 2 f when two letters picked without replacement from mkkkkkmffkkf.
1/22
Two letters picked without replacement from {t: 8, k: 4, m: 2, z: 3}. Give prob of picking 1 t and 1 m.
2/17
Calculate prob of picking 1 l and 1 c when two letters picked without replacement from jcfljfyttcjjfjyyyftc.
3/190
Calculate prob of picking 1 p and 3 x when four letters picked without replacement from {x: 12, p: 6}.
22/51
What is prob of picking 1 h and 1 y when two letters picked without replacement from {p: 1, s: 1, y: 1, f: 1, h: 1}?
1/10
What is prob of picking 2 h, 1 o, and 1 v when four letters picked without replacement from hhoxvxx?
1/35
What is prob of picking 1 t and 1 a when two letters picked without replacement from {t: 6, a: 3, u: 4}?
3/13
Four letters picked without replacement from {e: 2, x: 5, w: 4}. What is prob of picking 2 x and 2 w?
2/11
Four letters picked without replacement from {q: 3, u: 1, c: 3, r: 3}. What is prob of picking 2 q and 2 r?
3/70
What is prob of picking 1 l and 1 d when two letters picked without replacement from {d: 10, l: 4}?
40/91
Calculate prob of picking 1 k and 1 h when two letters picked without replacement from jfkufkjjhkje.
1/22
Two letters picked without replacement from {n: 2, u: 8, x: 9}. Give prob of picking 2 n.
1/171
Calculate prob of picking 2 e when two letters picked without replacement from {h: 2, e: 13, n: 3}.
26/51
Two letters picked without replacement from {a: 4, h: 1, l: 2}. Give prob of picking 2 a.
2/7
Calculate prob of picking 1 m, 1 b, and 1 i when three letters picked without replacement from iiumuubiimibuuiuimi.
16/323
Four letters picked without replacement from pdsnqcddcqddddspsdpd. What is prob of picking 1 q, 1 n, and 2 s?
2/1615
Two letters picked without replacement from lllxvvvllvvxl. Give prob of picking 1 x and 1 v.
5/39
Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {v: 1, g: 1, e: 18}.
9/95
What is prob of picking 3 r when three letters picked without replacement from xrrrwrrrrrrxrrwrrwx?
286/969
Two letters picked without replacement from {k: 1, z: 2, g: 1}. Give prob of picking 1 g and 1 k.
1/6
What is prob of picking 1 v and 1 g when two letters picked without replacement from {v: 7, g: 2}?
7/18
What is prob of picking 1 r and 2 t when three letters picked without replacement from {t: 2, r: 1, m: 3, d: 1, n: 1, i: 4}?
1/220
Three letters picked without replacement from {m: 1, b: 1, f: 5, a: 2, n: 1, t: 6}. What is prob of picking 1 a, 1 f, and 1 t?
3/28
Two letters picked without replacement from {k: 3, i: 1}. Give prob of picking 2 k.
1/2
Two letters picked without replacement from {l: 5, n: 2, t: 5}. Give prob of picking 2 t.
5/33
Four letters picked without replacement from auuauaauaauauauauu. Give prob of picking 4 u.
7/170
What is prob of picking 4 s when four letters picked without replacement from {u: 6, s: 12}?
11/68
What is prob of picking 1 n and 2 g when three letters picked without replacement from zgzzggnzn?
1/14
Calculate prob of picking 3 f when three letters picked without replacement from rrfrfrrffr.
1/30
Two letters picked without replacement from ooikoowkhwoo. Give prob of picking 1 h and 1 i.
1/66
What is prob of picking 2 w when two letters picked without replacement from {w: 6, g: 4, b: 3, y: 2}?
1/7
Two letters picked without replacement from {w: 5, e: 1, x: 5, n: 6}. What is prob of picking 1 w and 1 e?
5/136
Calculate prob of picking 2 x and 1 h when three letters picked without replacement from whwxwwwxx.
1/28
What is prob of picking 1 x, 1 v, and 1 s when three letters picked without replacement from {x: 4, v: 1, a: 3, s: 6}?
6/91
What is prob of picking 1 c and 2 a when three letters picked without replacement from {c: 5, a: 2, h: 13}?
1/228
Calculate prob of picking 2 a and 1 o when three letters picked without replacement from {s: 1, y: 2, a: 3, o: 1}.
3/35
What is prob of picking 2 z when two letters picked without replacement from yzjlp?
0
Calculate prob of picking 2 c, 1 n, and 1 t when four letters picked without replacement from {c: 11, n: 3, t: 1}.
11/91
Two letters picked without replacement from ypammymmymmmmypy. What is prob of picking 1 m and 1 a?
1/15
Two letters picked without replacement from {p: 4, j: 2, g: 1, k: 8, u: 1}. Give prob of picking 1 g and 1 u.
1/120
Calculate prob of picking 1 h, 1 j, and 1 k when three letters picked without replacement from jhrrkhrhjrrjk.
9/143
Two letters picked without replacement from {w: 1, t: 8, q: 4}. What is prob of picking 1 w and 1 q?
2/39
What is prob of picking 1 u and 1 c when two letters picked without replacement from cuuuxoouuxouuuuuox?
10/153
Three letters picked without replacement from {d: 6}. What is prob of picking 3 d?
1
Two letters picked without replacement from {n: 2, e: 1, p: 2, y: 3, u: 2, g: 2}. What is prob of picking 2 p?
1/66
Four letters picked without replacement from {n: 1, l: 1, q: 5, w: 3, r: 1}. What is prob of picking 1 r, 1 n, 1 l, and 1 q?
1/66
Four letters picked without replacement from {y: 1, s: 1, o: 7, k: 1, m: 2, j: 2}. What is prob of picking 1 k and 3 o?
5/143
Calculate prob of picking 4 y when four letters picked without replacement f
|
{
"pile_set_name": "DM Mathematics"
}
|
et l(t) = 5*t**3 + t**2 + t. Calculate l(r).
-5
Let r be 4/2 - (-5 - (-32)/4). Let k = -1 + r. Let h(b) = -2*b + 3*b + 3*b - 4118 + 4116. Give h(k).
-10
Let f(w) = -w**2 - 28*w - 24. Let k(v) = 3*v**2 + 82*v + 71. Let x(p) = -14*f(p) - 5*k(p). Determine x(-13).
46
Let b(l) = -18*l**2 - l - 1. Suppose -115 = 10*j - 15. Let o = 15 + j. Suppose 15*h - o = 20*h. Give b(h).
-18
Let p = 1833 + -1823. Let f(u) = -u**2 + 6*u + 29. Determine f(p).
-11
Let w(x) = 11*x**2 - 92*x - 81. Let c(y) = -15*y**2 + 137*y + 122. Let t(b) = -5*c(b) - 7*w(b). Give t(-19).
14
Let h = 14469 + -14472. Let i(b) be the third derivative of b**5/30 - b**3/2 + b**2. Determine i(h).
15
Let q be (-1)/((-5 - -3) + (-8)/(-8)). Let h be q*20*6/(-24)*-1. Let c(s) = -s**2 + 5*s. What is c(h)?
0
Let r(z) = 445*z - 103*z - 116*z + z**3 - 106*z + 14*z**2 - 21 - 109*z. Give r(-13).
5
Let b(t) = t**3 - 22*t**2 + 3. Let l(p) = p**2 - 33*p - 356. Let k be l(-9). Calculate b(k).
3
Let r(d) = 47972*d - 7 + d**2 - 23995*d - 23994*d. What is r(19)?
31
Suppose -4 - 11 = 5*n. Let z(k) be the third derivative of k**5/60 - k**4/12 - k**3/6 - 2689*k**2. Calculate z(n).
14
Let h(w) = w**3 - 2*w**2 + 7*w + 1. Let j be ((-2)/(-3))/((-290)/(-1305)). What is h(j)?
31
Suppose 0 = -4*h + 6*h - 2*r + 16, -5*h - 4*r = 4. Let u be ((-30)/40)/(1/h). Let b(v) = -4 + 4 + v**u - 1 - 4*v + 0*v. Calculate b(-3).
-16
Let i = 918 + -918. Let j be (-2)/(1 + -3) + 1. Let y(t) = -2 + 5 - t**2 + 0*t**j. Calculate y(i).
3
Let l be (12/18 + 0)/(3/9). Let c(d) = 6 + 3*d**2 + 8*d - 4*d**2 - l. Calculate c(9).
-5
Let k(l) be the second derivative of -1/20*l**5 + 208*l - 6*l**2 + 0 + 5/12*l**4 + 1/3*l**3. Give k(5).
-2
Let y be (18 - 45)*(-10)/2. Let g(l) = -6*l - 136*l**2 + y*l**2 - 2*l. Give g(-8).
0
Let g(u) = -1 - 3 + 1 - u. Suppose 7*i = -n + 3*i - 22, 0 = -3*n - 3*i - 57. Let j be (-70)/315 - (-122)/n. Give g(j).
4
Let p(c) be the first derivative of -c**2 - 4*c - 87. Let n(f) be the first derivative of f**3/3 - 7*f**2/2 + 6*f - 4. Let t be n(5). Give p(t).
4
Let a(c) = -c**2 + c - 18. Let p(z) = -z**2 + 3*z - 68. Let v(h) = -4*a(h) + p(h). What is v(5)?
74
Suppose 0 = 14*f - 12*f - 28. Suppose 2*j + 8 = 0, -4*v + f = -v + 4*j. Let d be (112/35)/((-4)/v). Let t(n) = -n + 2. What is t(d)?
10
Let u(y) = -5 - 4*y**2 + 58*y + 34*y - 152*y + 20*y + 18*y. Give u(-4).
19
Let i(q) = 95 - 252*q + 519*q - 263*q. Give i(-24).
-1
Let y = -6 - 39. Let q = y - -39. Let i(o) be the second derivative of -o**3/6 - o**2 + 15*o. Determine i(q).
4
Let r(i) be the third derivative of -1/4*i**4 - 1/60*i**5 + 0*i + 31*i**2 - i**3 + 0. Let a(w) = -w**2 + 4*w - 4. Let s be a(4). Determine r(s).
2
Let y = 217 - 210. Let m(c) = -3*c. Let q(b) = b**3 - 7*b**2 - 12*b + 2. Let u(l) = 2*m(l) - q(l). What is u(y)?
40
Let r(k) = -k - 17. Suppose -54 = -n + 3*q - 3, 272 = 4*n + 5*q. Suppose -n*f + 36 = -65*f. What is r(f)?
1
Let w(s) = -39*s - 1. Let g = -870 + 983. Suppose -g*a - 10 = -123*a. Determine w(a).
-40
Suppose 4*p = 10*c - 11*c + 55, -3*p - 3*c = -48. Let q(y) = -p*y + 6*y + 3 + 9*y + 7. Calculate q(-11).
-12
Let q(x) = -13*x**3 - 2*x**2 - 5*x + 3. Let w(k) = -7*k**3 - k**2 - 3*k + 2. Let o(g) = -6*q(g) + 11*w(g). Calculate o(-3).
-5
Let b(x) = 39*x + 4. Let d(f) = 65*f + 7. Let g(c) = -3*b(c) + 2*d(c). Let z = 13 - 12. Determine g(z).
15
Let m(a) = 6*a**2 + 7*a - 5. Suppose 1850*w + 85 = 1935*w. What is m(w)?
8
Let t(d) = -2*d + 8. Let c = 20885 - 20877. What is t(c)?
-8
Let i(o) = -o**2 - 3*o + 12. Let c be i(-11). Let p = -132 - c. Let d = p - -55. Let q(x) = -x**3 - 1. Give q(d).
0
Let w(v) = 12*v - 53. Let t(l) = -35*l + 170. Let f(c) = -4*t(c) - 11*w(c). What is f(13)?
7
Let m = -19810 - -19814. Let t(l) = 3*l**2 - 14*l + 10. Give t(m).
2
Suppose 3 = -3*l - 3*x, 5*l = -x + 7 + 8. Let n(f) = -3*f**2 - 1. What is n(l)?
-49
Let b(m) be the second derivative of -m**4/12 + 5*m**3/3 + 3*m**2/2 - 227*m. Give b(6).
27
Let t(x) = x**2 - x. Let n be t(-1). Let i(c) = -24 + 0*c + 22 - c**n + 0*c. What is i(0)?
-2
Let m(i) = -49*i**3 - 37*i**2 + 8*i + 120. Let t(k) = 17*k**3 + 13*k**2 - 3*k - 45. Let g(a) = -3*m(a) - 8*t(a). What is g(-2)?
-60
Let f be 250/40 - (-3)/(-12). Suppose 14 = 2*r - f. Let g(m) = -m. Give g(r).
-10
Suppose -3*l - 7 = -5*a, 4 - 7 = -2*a + l. Suppose -5*j - 17 = -6*h + a*h, 14 = 4*h - 2*j. Let r(i) = 2*i**2 - 4. Give r(h).
14
Suppose 14*s + 3669 - 3697 = 0. Let t(g) = -18*g**2 + 2*g. Calculate t(s).
-68
Let f(m) = -136 + 8*m - 114 + 251. Suppose -25*j = -q - 23*j - 8, -15 = -3*j. Give f(q).
17
Let p(b) be the second derivative of -b**6/60 + b**5/120 + 3*b**4/4 - 3*b**2 + 19*b. Let i(r) be the third derivative of p(r). What is i(-2)?
25
Let f(k) = 50*k + 549. Let p be 8/40 - -4*(4/(-5) - 2). Calculate f(p).
-1
Suppose 0 = -4*w + 22 - 6. Let j(a) = a + 2*a - 2*a + a - w. Let v be ((-8)/24)/(1/9). What is j(v)?
-10
Let f(n) = -3*n**2 - 19*n - 9. Let l be f(-6). Let q = l - -3. Suppose -5*a + 10 - 5 = q. Let w(u) = -5*u**2 - 1. What is w(a)?
-6
Let u(w) = -4*w. Let j be u(2). Let c(z) be the second derivative of z**4/12 + 11*z**3/6 + 6*z**2 - 55*z. Let d(n) = n + 1. Let y(h) = c(h) - 3*d(h). Give y(j).
9
Let d(p) = -p - 28. Let j be d(-18). Let k = j - -5. Let g(u) = 5*u**2 + 2*u**2 + 23*u - 2*u**2 + 6 + u**3 - 21*u. Calculate g(k).
-4
Let w(u) = -u**3 + 3*u**2 - 4*u + 15. Let d be w(3). Let k(b) = -3 - b**d - 8 - 5*b**2 + b + 4*b**2 + 0*b**2. Calculate k(0).
-11
Let t(a) = 2*a - 4*a + a - 13. Suppose 4*n + 0*o = 2*o + 66, 2*o = -6. Suppose 33 = -2*z + n. Give t(z).
-4
Let b be ((-2)/5)/(-5*16/600). Suppose -5*y = 0, -5*k - 17 = -4*y + b. Let c(h) = 7 + 2*h - 3 + 2*h - h. Determine c(k).
-8
Let f(i) = -2*i + 4. Let z(h) = 27*h**3 - h**2 - 3*h + 5. Let a be z(2). Suppose -3*b + 5*u + 114 = 0, -4*b - 5*u - 24 = -a. Let p = -39 + b. What is f(p)?
-4
Let s(c) be the third derivative of -c**6/120 - 11*c**5/60 - 5*c**4/6 - 13*c**3/3 - 5*c**2 - 788*c - 1. Calculate s(-8).
-58
Suppose 8*a + 3 + 13 = 0. Let v be (-8)/2 + (2 - 1) + a. Let z(n) = -4*n - 4. What is z(v)?
16
Suppose 82 = 6*i + 22. Let t(l) = -40*l + i*l + 10*l + 12*l + 2. Give t(4).
-30
Let n be 2/(-8) - (4 - (-5)/(-4)). Let p(w) = -4*w + 8*w + 13 - w. Give p(n).
4
Let s(k) = -64*k**2 - 73*k**2 + k + 138*k**2 - 5*k**3 + 1. Let y be (-15 - -17)/(-1 + -1). Give s(y).
6
Let n(b) = 1 - 2 + 4 + 11*b**2 - 10*b**2 - 62*b + 64*b. Suppose -18 = -3*z + 7*z + 2*j, -12 = -z + 5*j. Calculate n(z).
6
Let q(m) = -42*m + m**2 - 872 + 0*m**2 + 856 - 5*m**2. What is q(-10)?
4
Let n(x) be the second derivative of -x**4/12 - 5*x**3/6 - x**2 + 236*x. Let w = -22 + 17. What is n(w)?
-2
Let c(f) = 49 + 33 + 8*f - 118 - 2*f**2 + f**2 + 47. Determine c(7).
18
Let i(p) = -4*p + 5. Let j(q) = -5*q - 2. Let m(v) = -2*i(v) + 3*j(v). Determine m(6).
-58
Let f(b) = -b**2 + 1. Let j(u) = -19*u - 30. Let a(m) = -m**3 - 16*m**2 - m - 21. Let t be a(-16). Let d be j(t). Let l = d + -63. Determine f(l).
-3
Suppose -2 = 2*p, 2 + 5 = 2*x - 3*p. Let d(k) = 5*k**x - 10 - 5*k**2 - k**3 - 8. Let q(c) = c**2 + 15*c + 14. Let b be q(-14). Calculate d(b).
-18
Let z = 96 - 98. Let n(y) = 2*y + 7. Let g(x) = x + 8. Let w(s) = z*n(s) + 3*g(s). Let q be -1*(24/(-3) - -1). Calculate w(q).
3
Let r(y) = 149*y - 1. Let z(q) = -176*q + 2. Let c(k) = 4*r(k) + 3*z(k). Give c(-1).
-66
Suppose -6*j = 7*j - 26. Let d(a) = -a**3 + 3*a + 41 - 34 + 7*a - 6*a**j. Give d(-7).
-14
Let v be 2370/5372 - 1/(-17). Let y(f) be the first derivative of -2*f - v*f**2 - 11. Give y(-3).
1
Let d(j) = 23*j - 39. Let l(k) = -12*k + 22. Let x(z) = -4*d(z) - 7*l(z). Determine x(-2).
18
Let n(z) = -10558*z**2 - 10560*z**2 + 2*z**3 - 13*z + 21087*z**2 + 0*z**3 - 42. Determine n(16).
6
Let w = -234 - -230. Let r(m) = -5*m**3 + 32*m**2 + 2*m + 28. Let t(c) = 3*c**3 - 16*c**2 - c - 13. Let o(g) = w*r(g) - 7*t(g). What is o(-16)?
-5
Suppose 5 = -2*b + 3*b, b = -4*r + 1. Let d(g) = -g**2 + 5*g - 1. Let q be d(4). Let c(k) = -7*k**2 - 2 + 1 - q + 5. Give c(r).
-6
Let o(l) = -5*l - 1. Let y(u) = u**2 - 7*u + 24. Let d be y(10). Suppose -4*i - 48 = -4*q, 6*q + d = -2*i + 2*q. Let z = i - -15. Calculate o(z).
9
Let n(q) be the third derivative of -1/120*q**6 + 2/15*q**5 + 0*q + 1/24*q**4 - 1/2*q**3 + 0 - 16*q**2. Give n(8).
5
Let j(r) be the first derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
a - 8 = 3*s - 2*s, l*a - 6 = -2*s for s.
-2
Let n be 1 + 0 + (5 - 0). Let b be (-86)/(-18) + (-4)/(-18). Suppose 3*a + 6 = 0, -2551*t + a = -2552*t. Solve t = 3*p + 2*v, -b*p + v - n*v - 5 = 0 for p.
4
Let x(l) = l**3 + 7*l**2 - 8*l + 2. Let f be x(-8). Suppose f*o - 9 + 3 = 0. Suppose 53*b + 35*b - 720 = -56*b. Solve 16 = o*g + 5*n, -3*n + 7 + b = g for g.
-3
Suppose 3*r + 4*p + 12 = 6*p, -p = -r - 5. Let l be (-4)/r*(-336)/(-96). Suppose 0 = 4*z - z. Solve 4*t + 2*j + 10 = z, 2*t + 2*j + l = 3*j for t.
-3
Let o be (4 + (-126)/4)*-2. Let s = o - 103. Let q = 50 + s. Solve 35 = -5*b + 3*p, -b + 3*p - 27 = q*b for b.
-4
Let t(n) = n**2 - 14*n - 73. Let p be t(-5). Suppose p = 3*w + 8*w. Solve 2*g - 2*a + 0 = -12, -2*g = w*a - 8 for g.
-1
Let z be (-16)/4 - (3 - 5)*6. Let x = z + -6. Solve 3*t + 2 = x*w, t + 8 = -3*t for w.
-2
Suppose -96*s + 91*s = -25, -3*j - 5*s + 37 = 0. Solve -4*b = -2*o + 30, -56*b + 58*b - j*o + 30 = 0 for b.
-5
Let j(i) = i**3 + 2*i + 4. Let g be j(0). Suppose 4*z = -z + g*z. Suppose -9*w + 56 - 20 = z. Solve -m = 2*b - 0*b + w, -b = m + 4 for b.
0
Suppose -6*a + 7 = -23. Suppose -d - 18 = -a*m, 0 = -4*m - 0*m + 3*d + 21. Solve -2*o = -0*s + 4*s - 4, 27 = -m*o + 5*s for o.
-4
Suppose -y - 2*h = -33, h = -y - y + 57. Suppose y*t - 12 = 24*t. Suppose 4*z = t + 4. Solve 10 = 2*l - 6*l - z*d, 2*l - 3*d + 1 = 0 for l.
-2
Let t = 581 - 572. Suppose 3*v + t - 24 = 0. Solve -6*b - 15 = -x - 3*b, 31 = v*x - 4*b for x.
3
Suppose 0 = -0*n + 2*n. Let t be 10/4*24/15. Suppose 3*r = -6, 5*r = -3*x + t*x - 10. Solve -q = -n*y - 3*y - 13, 4*q + 2*y + 4 = x for q.
1
Suppose -3*f = -3*j + 21, -13 = -7*j + 4*j - f. Let w = -45 - 2. Let d = w + 92. Solve -28 = -3*s + 7*s - 2*y, -j*y + d = -5*s for s.
-5
Suppose -445 + 698 = 23*c. Solve 5*p + 30 + c = -3*h, h = -3*p - 19 for p.
-4
Let r(s) = -s**3 + 5*s**2 - s - 3. Let t be r(3). Suppose 2*c = 5*v - 5, 215*v + 23 = 216*v + 4*c. Solve v*i + 5*j - 3*j = -t, 4*i + 4*j = -20 for i.
-2
Let q be (2 - 8/6)/(2/(-9)). Let b be q/3*(-7 - 1). Let d = 13 - b. Solve f - 2*f = -5*y + 9, 0 = f + d*y - 1 for f.
-4
Let k(g) = -392*g + 1. Let n be k(0). Solve -r = 5*z - 2*r + 11, -z + r = -n for z.
-3
Suppose -4*k + 0*s + s = 30, 3*k - 2*s = -25. Let m(n) = n**2 + 13*n + 43. Let y be m(k). Suppose -3*l - y + 16 = 0. Solve -l*v = 4*p + 6 - 4, -p = v for v.
-2
Let s(u) = -12*u - 286. Let v be s(-24). Solve 2*p + v = 2*y + 2*y, 0 = -3*y + 5*p + 12 for y.
-1
Suppose -8*z + 5 = -147. Suppose -4*n - z*n + 92 = 0. Solve 2*c - n*u = -u + 7, 3*u - 28 = -5*c for c.
5
Let y = -11381 + 11383. Solve -y*c - 5*h = 16 - 8, 0 = c - 5*h + 4 for c.
-4
Let l = 2783 + -2783. Solve -k + 8 = -4*i, l = k - 26*i + 30*i + 8 for k.
0
Let s(v) = v**3 + 22*v**2 - 49*v - 20. Let r be s(-24). Solve -4*i - 5 = x - 5*i, -3*i + 18 = -r*x for x.
-3
Let y be -2 + 96/(-2 + 12/5). Suppose -3*t - 90 = 2*q, t = -5*q - y + 13. Let l = 51 + q. Solve l = -a - 2*z - 0, 0 = a - 3*z - 19 for a.
4
Let l be ((-125)/175)/(3/(-42)). Solve 3*m + 8 = -2*r + 2, 4*r - l = 5*m for r.
0
Let r(k) = 10*k**2 + 118*k + 96. Let g be r(-11). Solve -3*w = 2*h + 13, w + w = -h - g for w.
-3
Let s = -84 - -88. Suppose 0 = s*d - 37 - 327. Let h be 4*((-4)/18 - d/(-126)). Solve 0 = -u - h*c + 5, -c + 6 = 3*u + u for u.
1
Suppose 4 = -4*q + 4*n, 2*n - 129 + 111 = -2*q. Solve 5*j + 10 = 2*f, -29*f + 21 = -30*f - q*j for f.
-5
Let v(t) = -50*t - 10. Let h be v(-2). Let q = 1 - 15. Let f be h/21 - (-2 - 32/q). Solve -2*n = 3*n - 5*r + 5, -f*r = 5*n + 5 for n.
-1
Let j(i) = 39*i**2 - 4*i + 5. Let d be j(1). Suppose 3*r + u + 12 - d = 0, r - 2*u = 14. Suppose 113 = r*w - 17. Solve -b = -5*y + y - w, -3*y = 12 for b.
-3
Suppose 3*k = 11 - 5. Suppose 65 = -b + k*q + 2*q, -349 = 5*b + 4*q. Let g = 71 + b. Solve -2 = -y - 3*j, -20 = 3*y - g*j - 2*j for y.
-4
Let m(v) = v**2 + 10*v - 3334. Let j be m(-63). Suppose 12 = -0*c + 4*c. Solve 4 = -2*i, 0 = c*g - j*i - 13 for g.
1
Suppose 5*p + 93 = 123, 3*p = -2*r + 22. Solve 3*h = -r*v, 3*h = -4*v + 5*v for v.
0
Let w(t) = -2*t**3 - 11*t**2 - 8*t - 9. Let a be w(-5). Let o be (a + -5 + -1)/1. Solve 16 = 4*s - 2*m, o*s - 3*m = -4*s + 14 for s.
5
Let f be (3/(-4))/((-462)/(-112)) - (-70)/22. Solve -w + f*m = 4*w + 18, 5*m = 3*w + 14 for w.
-3
Let r = 13 + 57. Let q = r + -67. Suppose 76 = 3*g - 2*f, -q*f = g - 8*f - 47. Solve 5*k - 3*j = g, -22 = -5*k + j + 2 for k.
5
Suppose -2*x - 74 - 43 = -41*x. Solve 12 = x*m - s, 0 = -3*m - 150*s + 147*s + 24 for m.
5
Let u be (7 - 556)*(-8)/36. Suppose 3*a - 585 = 5*y, -2*y - a - 3*a = 260. Let k = y + u. Solve -2*z - k*z = -8, 4*z - 18 = -5*r for r.
2
Suppose 0 = -7*j + 6*j + 8. Suppose 0 = 5*k - 2*d - 7, j = k + 3*k - d. Let c be 5 + ((-18)/2)/3. Solve 4*q - k*a = -24 - 5, 0 = c*q - 5*a + 25 for q.
-5
Suppose -3*n + 5*x = -27, -6*n = 2*n - 2*x - 38. Solve -n*v + 10 = v + 5*y, 2*v + 17 = 5*y for v.
-1
Let h be 3 + (5 - 4) + 0. Suppose 0 = h*f + f. Suppose 5*c + i - 20 = f, -c - 4 = -2*c - i. Solve c = j - 0, 12 = 2*w + 4*j for w.
-2
Let l be -2*(4 + 42/(-7)). Suppose 5*r + 8 = -l*q + 107, 4*r + 4*q = 80. Solve -5*s + 4*w - 8 = -0, s + r = -5*w for s.
-4
Suppose -1169*h + 80 = -1153*h. Solve -h*l - 2*q = 11, -3*q = -3*l - 16 + 1 for l.
-3
Let j be 5/(((-30)/12)/(60/(-24))). Solve -l + j*m - 25 = 0, 6*l - 3*m = 4*l - 22 for l.
-5
Suppose -2*h = 2 - 12, 3*h = 2*a - 443. Suppose -3*o = -a - 203. Suppose 4 = -4*b + o. Solve 2 = -2*g - 2*p, -3*g + 5*p - b = -0*g for g.
-5
Let o be 18/(-4)*(-702)/1053. Solve -v - 3 = -3*i, -o*v - 5*i + 5 = -5*v for v.
0
Let h = -12 + 20. Let z be (2/h)/((-19)/(-76)). Let g = 19 - 16. Solve z = -n - 5*s, -g*n - 4*s + 0 + 8 = 0 for n.
4
Let n(g) = 10*g + 88. Let o(h) = -10*h - 88. Let x(l) = 2*n(l) + 3*o(l). Let y be x(-9). Solve -y*p + w + 10 = 0, 5*p - 2*p + w - 15 = 0 for p.
5
Let h(t) = -10 - 3 - 51 - 8*t - 44. Let n be h(-14). Solve -2*j - 16 = 2*d - 7*j, -2*d + n*j = 14 for d.
-3
Let h be 6 + ((-2)/(-1))/(-2). Suppose -5*z + c + 13 = 0, -c + 2 = 2*z - 3*c. Let w = 25293 + -25287. Solve 0 = -z*d + 3, k = -0*k - h*d + w for k.
1
Suppose 4*u + 7*u - 132 = 0. Let f(a) = -8*a + 97. Let i be f(u). Solve -5*p + 2*s + i = -8, 0 = 3*s - 9 for p.
3
Suppose 124 - 248 = 5*m - 134. Solve s - g + m = 0, s - 2*g - 1 = -6 for s.
1
Suppose -5*j + 3*h + 19 = h, 4*j = -3*h + 29. Suppose -j*i + 3 = -2*i + 2*t, 6 = -2*t. Solve 12 = -a - 4*w, 0 = -i*a - 5*w - 7 - 8 for a.
0
Suppose 0 = -2*w - w + 48. Let j be (-792)/54 + 8/12. Let p = j + w. Solve p*f - 25 = -5*b + 3, -12 = -3*b for f.
4
Suppose -4*h - 4*j - 16 = 0, 0 = -3*j - j - 24. Solve -5*z + 8*z + h = w, -2*z + 2 = w for w.
2
Let t = -3764 - -3765. Solve -2*q = -2*w - 10, 4*w - t = q + 5*w for q.
2
Let w = -111 + 116. Suppose -4 = j + 4*g - 0, 5*j + 5*g + w = 0. Suppose 4*a = 2*q - 6 - j, 3*a = -3*q + 9. Solve -4*n - 20 = a, -3*s - 3*n - 4 - 2 = 0 for s.
3
Suppose -2*y + 5*m + 23 = 0, 5*y + 3*m = 58 - 47. Let d be 1 - ((-1)/(-1) + -3). Solve -d*x - 5*f = -0*f + 25, 4*x = -y*f - 20 for x.
0
Let l = 1874 - 1872. Solve l*g - 2 = -2*q, -4*g + 3 = q + 14 for g.
-4
Suppose 5*l - 4*y = -149, -2*l = 3*l - y + 146. Let t = l - -21. Let f be ((-3)/12 + (-2)/t)/2. Solve 6 = -3*d, f*d + 16 = 5*m + 2*d for m.
4
Suppose 159*k = -298*k + 5941. Solve 2*h + k*t = 9*t - 8, -7*t - 21 = 0 for h.
2
Suppose 0 = 14*q - 379 + 407. Let m be (210/(-14) - -14)*(q + 1). Solve 5*z + 25 = -p, z - 2*z = -p - m for z.
-4
Let h be (3 - 7)*-2*78/(-4). Let n = -145 - h. Solve -4*a - t - 20 = -9, -3*a + 2*t - n = 0 for a.
-3
Let o(k) = -291*k - 2326. Let g be o(-8). Solve b = 3*a - 3, 0 = -g*b + 3*a + 21 - 27 for b.
-3
Suppose -4*q = -2*d + 2, -3*d + 0 = -2*q - 7. Let l(p) = p**2 - 9*p + 18. Let r be l(d). Solve 2*z - 5*y = -28, r = z + z + 2*y for z.
-4
Let c = -19078 + 19080. Solve -24 = -q + 5*n, -58*n = -c*q - 56*n + 16 for q.
4
Let r(h) be the first derivative of 13*h**4/2 - 2*h**3/3 + h**2 - h - 126. Let d = 3 + -2. Let p be r(d). Solve 5*i - 14 = 4*q + 11, p = 5*i - q for i.
5
Let g be (28/112)/(-4 + (-98)/(-24)). Solve -63 = 5*p + 2*q - 30, -27 = 3*p + g*q for p.
-5
Suppose 5*h - b + 10 = 0, -b + 19 - 24 = 0. Let i(r) = -6 - 3*r + 3*r - 3*r. Let z be i(h). Solve 2*k - 3*k = -z*p + 10, -3*k - 18 = -3*p for k.
-4
Let h(l) = 155*l - 3408. Let a be h(22). Solve -
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon multiple of g and u(-1)?
374
Suppose 65*q + 1012 = 6277. What is the least common multiple of q and 189?
567
Let p = -1581 + 1707. Calculate the smallest common multiple of 98 and p.
882
Let h be (-2)/9*10/(20/(-18)). Suppose -3*c - 7 = -5*f, 0 = -3*f + 4*c + h. Calculate the least common multiple of 30 and f.
30
Let i = 999183 + -1019166569/1020. Calculate the common denominator of i and -59/2805.
11220
Let d(s) = 2*s**2 + 5*s - 3. Let u be (-4 - -2)/(2/(-4)) - 0. What is the lowest common multiple of 25/50*2*u and d(-4)?
36
Let y be (0/2)/3 - (-18)/18. Suppose -3*l = 4 - y, -2*l = p - 2. Calculate the least common multiple of 5 and p.
20
Suppose 7*r + 14 = 8*r. What is the lowest common multiple of 15 and (-7)/r - 404/(-8)?
150
Let n = 356863/30 - 11898. Calculate the common denominator of 143/2760 and n.
2760
Let d(n) = -5*n**2 - 65*n + 854. What is the smallest common multiple of d(-21) and 35?
70
Let b = -670 + 661. Calculate the common denominator of 1/36 and ((-110)/572)/(b/6).
468
Suppose -2*o + y + 1061 = 0, -518 = -o + 3*y + 25. Let k = o + -3193/6. Let c = 470 + -3753/8. Calculate the common denominator of c and k.
24
Let x = 5157 + -4917. Calculate the least common multiple of 30 and x.
240
Suppose -a - 13*v = -9*v - 36, -2*v - 150 = -3*a. Calculate the smallest common multiple of 264 and a.
528
Let f = -345/11 + 3137/66. Calculate the common denominator of -2*(3570/(-144))/17 and f.
12
Suppose -2336 = -48*t - 4688. What is the common denominator of 13/1036 and t?
1036
Suppose -96*n = -93*n + 18, 3*b - 1878 = 3*n. What is the smallest common multiple of b and 992?
4960
Suppose 0 = 5*h + 2*w - 1417, -3*h - 2*w = -3*w - 848. Let d = h - 171. What is the least common multiple of d and 24?
336
What is the least common multiple of 336 and 24/(13 + 3766/(-294))?
1008
Let z = 25542/7 - 11136585/3052. Calculate the common denominator of z and -51/545.
2180
Suppose -42*i - 4665 = 3399. Let m = 252 + i. What is the smallest common multiple of m and 10?
60
Suppose 0 = -2*l - g + 2*g - 4, 20 = -2*l - 3*g. Let y be 3/l - (-723)/68. Let o = -6367/646 + y. Find the common denominator of o and -1/10.
190
Let c = 2/64173 - -6224681/3208650. Calculate the common denominator of 79/2500 and c.
2500
Calculate the lowest common multiple of 8 - (-20 - -9 - -9) and 10.
10
Let t = 30037 + 10002. Suppose t = 4*h - 3721. Let c = h - 328253/30. Find the common denominator of 17/18 and c.
90
Suppose -246*n + 11648 = -485*n + 247*n. Calculate the least common multiple of n and 294.
30576
Let x = -1063/3 - -5252/15. Find the common denominator of 53/924 and x.
4620
Let h(d) = -18*d**3 - 11*d**2 - 11*d + 15. Calculate the smallest common multiple of h(-4) and 4.
4140
Let i = 320235/226 + -1417. Let o = 153269/17268 + 176/4317. Calculate the common denominator of o and i.
1356
Let i(x) = 3*x**2 + 4*x**2 - 10*x**2 + 2*x**2 - 22*x - 25. Calculate the smallest common multiple of 207 and i(-20).
1035
Let i = -13/566 - 31807/19810. Find the common denominator of i and 9/415.
2905
Let v = -2/2939 - -267529/117560. Calculate the common denominator of 10 + (-6 - 0) + (-1127)/84 and v.
120
Let d = -27 - -28. Let u be (4 - 78/15)*(d + 29). Let x = -31 - u. What is the lowest common multiple of x and 2?
10
Suppose -332 = 3*p - n, 2*p - 4*n + 243 = n. Let c be (p/4)/((1 - -2)/(-12)). What is the common denominator of 10/3 and (c/54)/((-4)/12)?
18
Let w = -239799/370304 - 5/5786. What is the common denominator of 91/36 and w?
1152
Suppose 0 = 5*h + w + 369, -4*h + w - 318 = -30. Find the common denominator of 3/18*h + -6 and 41/27.
54
Let g(j) = -j**3 + 6*j**2 + 12*j - 15. Let m be g(6). Calculate the lowest common multiple of 20 and (54/(-9))/(4 + m/(-12)).
40
Suppose 2*x = -2*x - 20, -4*f + 39 = -3*x. Let s(j) = 5*j + 7. Let h be s(f). Suppose 5*o = h + 33. Calculate the lowest common multiple of o and 10.
70
Let u be 16 + (2/(-4) - 3/2). Let j(v) = v**3 - 12*v**2 - 30*v + 31. Calculate the common denominator of 31/43 and j(u).
43
Let w be 100 - (-5)/15*-6. Suppose -u + 22 = -w. Find the common denominator of 242/u + (-6 - -5) and 31/8.
120
Find the common denominator of ((-142)/(-56))/(213 - 223) and 73/252.
2520
Suppose -58*w = -36546 - 13044. Calculate the smallest common multiple of w and 90.
1710
Let u(t) = 2*t**2 - 9*t. Suppose -4*b + 2*b = -26. Let l(p) = p**3 - 11*p**2 - 22*p + 4. What is the smallest common multiple of l(b) and u(6)?
504
Suppose 8 = -x + 24. Suppose 28*m = 32*m - 36. Calculate the least common multiple of m and x.
144
Suppose 8*y = 3*y - 15. Let m = -474121/28 + 16936. What is the common denominator of m and (4 + y)*23/8?
56
Suppose -4*m - 4*b + 12 - 4 = 0, -8 = 4*b. Suppose 209 = 15*i + m*i. What is the lowest common multiple of i and 6?
66
Suppose 5*i - 5*b + 45 = 0, 0 = -0*i - 5*i - 5*b - 15. Let g = 31854 - 31848. Calculate the lowest common multiple of ((-16)/i)/((-3)/(-9)) and g.
24
Suppose 24*x = 28*x - 128. Suppose 15*i - 43 = x. Calculate the lowest common multiple of 9 and i.
45
Let o(v) = v**3 - 12*v**2 + 19*v - 14. Let c be o(16). Let x = -18349/14 + c. Calculate the common denominator of -41/40 and x.
280
Suppose -263*l + 2908 = -2352. What is the least common multiple of l and 1235?
4940
Let h(s) = 6*s**2 - 48*s + 65. Let v be h(15). Let d = v - 689. Calculate the least common multiple of 11 and d.
66
Suppose -20 = -3*n - 7*n. Suppose 50 + n = 13*r. What is the least common multiple of r and 3?
12
Suppose 1062 = 2*z - 0*z. Let t be (1 + 13/(-5))*2990/9. Let n = z + t. What is the common denominator of 53/10 and n?
90
Let q = 299699/1603602 + -2/89089. What is the common denominator of q and 43/594?
594
Find the common denominator of -23/14 and 18534/(-18660) + 10/10.
21770
Suppose -2*p + 622 = b, 0 = -5*b - 8*p + 10*p + 3098. What is the smallest common multiple of b and 744?
3720
Let g be 11/(55/1230) - 0/2. Suppose 0 = -3*u - 2 - 10. Calculate the common denominator of -51/2 and (g/u)/(13 + -28).
10
Let m = -50861255/2 + 167460715379/6585. Let p = 2/19755 - m. What is the common denominator of -77/8 and p?
72
Let i = 19/11 + -553/594. Calculate the common denominator of 101/6336 and i.
19008
Suppose 0*i - 10 = -2*i. Suppose 55 = i*a + 5*f, -5*a = -2*a - 5*f - 17. Let y = 275 - 268. What is the lowest common multiple of y and a?
63
Let n = -3977 - -4252. Calculate the least common multiple of 85 and n.
4675
What is the lowest common multiple of 38 and (-446 + (1 - -1) - 8)*3/(-6)?
4294
Suppose 40*a + 15*a - 702 = 16*a. Let z = -21 + 42. Suppose -z*x + a*x = -15. Calculate the lowest common multiple of x and 2.
10
Suppose 4*p = -362 + 338. What is the least common multiple of (-13)/(39/(-90)) - p and 52?
468
Suppose 3*q + 7446 = 3*f, f + 3*q = -375 + 2857. What is the smallest common multiple of f and 16?
19856
Suppose 5*g = -g + 13602. Suppose g = 4*u + 319. Suppose -97 = 6*m - u. Calculate the least common multiple of 7 and m.
455
Find the common denominator of ((-3)/(-2))/((-240)/1700) and -37/372.
744
Suppose 4*q - 3*q - 7 = 0. Calculate the smallest common multiple of q and (201272/(-905))/(1 - (-7)/(-5)).
3892
Let r = -1419 + 1373. Let l = 104113/3 + -35131. Let i = 431 + l. Calculate the common denominator of i and r.
3
Let h be 3*(-4)/(-24)*10. Let r be (h/(18 + -3))/((-1)/(-39)). Calculate the common denominator of (-515)/38*r/65 and 89/14.
266
Let p = 514 - 4607/9. Calculate the common denominator of 2 + (-1851)/270 + (-1 - -4) and p.
90
Find the common denominator of -70/57 and ((-28)/1463)/(18/(-15)).
627
Let u = -1/6247 + 668537/674676. What is the common denominator of -89/138 and u?
2484
Let k(f) = -6*f - 25. Let y be k(-5). Suppose 160 + 79 = y*p + 3*z, 0 = 3*z - 9. Let m = p - 21. Calculate the lowest common multiple of 3 and m.
75
Suppose 0 = -o - 30*o - 268 + 361. Suppose -v = 4*k - 25, -3*v - 5*k + k = -35. What is the smallest common multiple of o and ((-15)/(-2))/v*16?
24
Let l be (-191)/(-11)*863/(-2966). Let c = l - -10/1483. Let h = -14789/4 - -3694. Calculate the common denominator of c and h.
44
Let j = -7155 - -257609/36. Let a = -1/2939 + -26431/58780. Calculate the common denominator of j and a.
180
Suppose -7 = -2*n - 5*k + 45, 6 = 3*k. Calculate the smallest common multiple of n and 27.
189
Su
|
{
"pile_set_name": "DM Mathematics"
}
|
9?
f**3 - 1453*f**2 - 1106*f + 51
What is the f'th term of 23164396, 23164398, 23164402, 23164408?
f**2 - f + 23164396
What is the h'th term of -123537, -246697, -369857, -493017, -616177?
-123160*h - 377
What is the j'th term of 2014078, 4028146, 6042214, 8056282, 10070350, 12084418?
2014068*j + 10
What is the k'th term of 519, 2135, 4839, 8637, 13535, 19539, 26655, 34889?
k**3 + 538*k**2 - 5*k - 15
What is the u'th term of 57711782, 115423592, 173135402?
57711810*u - 28
What is the l'th term of 1135835, 1134698, 1132803, 1130150, 1126739, 1122570, 1117643?
-379*l**2 + 1136214
What is the q'th term of -3825, -7693, -11693, -15891, -20353, -25145, -30333, -35983?
-11*q**3 - 3791*q - 23
What is the k'th term of 2160770, 2160736, 2160702?
-34*k + 2160804
What is the t'th term of 637708133, 637708132, 637708131, 637708130?
-t + 637708134
What is the j'th term of 21912, 185213, 628460, 1491627, 2914688, 5037617, 8000388?
23329*j**3 - j**2 + j - 1417
What is the x'th term of -9802196, -9802189, -9802182, -9802175, -9802168?
7*x - 9802203
What is the f'th term of 251119875, 251119874, 251119873, 251119872?
-f + 251119876
What is the w'th term of 55699, 55306, 54917, 54538, 54175?
w**3 - 4*w**2 - 388*w + 56090
What is the r'th term of 2772, 11707, 26774, 47973, 75304?
3066*r**2 - 263*r - 31
What is the o'th term of 60563, 242488, 545705, 970220, 1516039, 2183168, 2971613?
o**3 + 60640*o**2 - 2*o - 76
What is the h'th term of 581, 2448, 5821, 10916, 17949, 27136, 38693?
36*h**3 + 537*h**2 + 4*h + 4
What is the k'th term of -16262, -64998, -146156, -259682, -405522?
9*k**3 - 16265*k**2 - 4*k - 2
What is the p'th term of -181, -371, -895, -1921, -3617, -6151?
-28*p**3 + p**2 + 3*p - 157
What is the h'th term of 1304497, 1304495, 1304493?
-2*h + 1304499
What is the n'th term of -479635, -479642, -479659, -479692, -479747, -479830?
-n**3 + n**2 - 3*n - 479632
What is the t'th term of 3731441, 7462890, 11194339, 14925788, 18657237?
3731449*t - 8
What is the f'th term of 4850, 7427, 10004, 12581, 15158?
2577*f + 2273
What is the q'th term of -5234, -41442, -139578, -330602, -645474, -1115154, -1770602, -2642778?
-5160*q**3 - 4*q**2 - 76*q + 6
What is the g'th term of -28306, -28239, -28064, -27727, -27174?
9*g**3 + 4*g - 28319
What is the q'th term of -3860637, -3860634, -3860631, -3860628, -3860625, -3860622?
3*q - 3860640
What is the t'th term of 12636139, 12636146, 12636157, 12636172, 12636191, 12636214?
2*t**2 + t + 12636136
What is the p'th term of -681722, -681698, -681676, -681656, -681638, -681622?
-p**2 + 27*p - 681748
What is the n'th term of 2264, 3879, 4800, 5033, 4584, 3459, 1664?
n**3 - 353*n**2 + 2667*n - 51
What is the w'th term of 23666, 94695, 213102, 378899, 592098, 852711, 1160750, 1516227?
2*w**3 + 23677*w**2 - 16*w + 3
What is the o'th term of -5544, -9193, -12832, -16455, -20056?
o**3 - o**2 - 3653*o - 1891
What is the g'th term of -15699, -20241, -24785, -29331?
-g**2 - 4539*g - 11159
What is the p'th term of -430235942, -430235946, -430235950, -430235954?
-4*p - 430235938
What is the r'th term of 886, 5766, 14638, 27502, 44358?
1996*r**2 - 1108*r - 2
What is the b'th term of -2185613, -2185592, -2185569, -2185544, -2185517, -2185488, -2185457?
b**2 + 18*b - 2185632
What is the b'th term of 9816, 11625, 13434, 15243, 17052?
1809*b + 8007
What is the q'th term of 8425, 8857, 9289?
432*q + 7993
What is the z'th term of -26621, -54215, -81809?
-27594*z + 973
What is the b'th term of -69429, -138823, -208217, -277611, -347005?
-69394*b - 35
What is the o'th term of -9656, -9705, -9760, -9827, -9912, -10021, -10160?
-o**3 + 3*o**2 - 51*o - 9607
What is the c'th term of -233682, -232580, -231478, -230376, -229274, -228172?
1102*c - 234784
What is the v'th term of -626470, -626528, -626586, -626644, -626702, -626760?
-58*v - 626412
What is the j'th term of 1025268, 1025267, 1025266, 1025265, 1025264, 1025263?
-j + 1025269
What is the i'th term of -253, -600, -1423, -2956, -5433, -9088, -14155?
-39*i**3 - 4*i**2 - 62*i - 148
What is the u'th term of -9893, -9935, -9977, -10019, -10061?
-42*u - 9851
What is the x'th term of 61736, 55542, 49348, 43154, 36960, 30766?
-6194*x + 67930
What is the p'th term of -119731, -119651, -119571, -119491, -119411, -119331?
80*p - 119811
What is the u'th term of -31643, -30780, -29917, -29054, -28191?
863*u - 32506
What is the z'th term of -49, -2298, -8425, -20368, -40065, -69454, -110473, -165060?
-323*z**3 - z**2 + 15*z + 260
What is the h'th term of -231, 175, 735, 1353, 1933, 2379, 2595?
-16*h**3 + 173*h**2 - h - 387
What is the w'th term of -2470, -9745, -21700, -38203, -59122, -84325?
22*w**3 - 2472*w**2 - 13*w - 7
What is the l'th term of 13792640, 13792642, 13792644, 13792646, 13792648?
2*l + 13792638
What is the l'th term of 14692396, 29384818, 44077240, 58769662, 73462084, 88154506?
14692422*l - 26
What is the v'th term of 8763326, 8763321, 8763316, 8763311, 8763306?
-5*v + 8763331
What is the y'th term of -664, -5014, -16700, -39388, -76744, -132434, -210124?
-611*y**3 - 2*y**2 - 67*y + 16
What is the b'th term of -731061, -1462123, -2193189, -2924259, -3655333, -4386411, -5117493?
-2*b**2 - 731056*b - 3
What is the i'th term of 329950890, 329950888, 329950886, 329950884, 329950882, 329950880?
-2*i + 329950892
What is the c'th term of 15216413, 15216421, 15216443, 15216485, 15216553, 15216653, 15216791, 15216973?
c**3 + c**2 - 2*c + 15216413
What is the p'th term of 13871, 14541, 15663, 17237, 19263?
226*p**2 - 8*p + 13653
What is the s'th term of 672793, 1345577, 2018361, 2691145?
672784*s + 9
What is the g'th term of 21, -7, -91, -261, -547, -979, -1587, -2401?
-5*g**3 + 2*g**2 + g + 23
What is the w'th term of -596983, -1193974, -1790971, -2387974?
-3*w**2 - 596982*w + 2
What is the p'th term of -82174, -166695, -251216, -335737, -420258, -504779?
-84521*p + 2347
What is the d'th term of 2664, 6932, 11208, 15498, 19808, 24144?
d**3 - 2*d**2 + 4267*d - 1602
What is the t'th term of -43422190, -86844374, -130266558, -173688742?
-43422184*t - 6
What is the g'th term of -31977278, -31977276, -31977274, -31977272, -31977270?
2*g - 31977280
What is the k'th term of 5249988, 10499969, 15749950, 20999931, 26249912, 31499893?
5249981*k + 7
What is the b'th term of -68223, -73421, -78621, -83823, -89027, -94233?
-b**2 - 5195*b - 63027
What is the a'th term of 8358993, 8358981, 8358969, 8358957, 8358945?
-12*a + 8359005
What is the x'th term of -4538, -47973, -165878, -395489, -774042, -1338773, -2126918?
-6206*x**3 + x**2 + 4*x + 1663
What is the c'th term of 28711673, 28711676, 28711681, 28711688, 28711697?
c**2 + 28711672
What is the i'th term of -12398, -19161, -25924?
-6763*i - 5635
What is the l'th term of 277536, 555028, 832524, 1110024?
2*l**2 + 277486*l + 48
What is the b'th term of -282, -2196, -7358, -17394, -33930, -58592, -93006?
-271*b**3 + 2*b**2 - 23*b + 10
What is the b'th term of 835, 1437, 2425, 3805, 5583, 7765, 10357, 13365?
b**3 + 187*b**2 + 34*b + 613
What is the a'th term of 64209, 127675, 191143, 254613?
a**2 + 63463*a + 745
What is the p'th term of -33145, -33146, -33147, -33148, -33149?
-p - 33144
What is the z'th term of -23369, -23354, -23339, -23324?
15*z - 23384
What is the h'th term of -46162606, -92325213, -138487820, -184650427, -230813034, -276975641?
-46162607*h + 1
What is the m'th term of 2781342, 5562757, 8344172, 11125587?
2781415*m - 73
What is the k'th term of 1025, 4492, 10299, 18446, 28933, 41760, 56927?
1170*k**2 - 43*k - 102
What is the v'th term of 549973, 2200343, 4950959, 8801821, 13752929?
550123*v**2 + v - 151
What is the o'th term of -3745, -15112, -34097, -60700, -94921?
-3809*o**2 + 60*o + 4
What is the x'th term of 46323950, 46323959, 46323972, 46323989, 46324010, 46324035, 46324064?
2*x**2 + 3*x + 46323945
What is the n'th term of -555090, -2220376, -4995854, -8881524, -13877386, -19983440, -27199686?
-555096*n**2 + 2*n + 4
What is the z'th term of -25139, -50291, -75453, -100625, -125807, -150999, -176201?
-5*z**2 - 25137*z + 3
What is the q'th term of 56473, 56505, 56539, 56575, 56613?
q**2 + 29*q + 56443
What is the v'th term of 41012888, 82025776, 123038664, 164051552, 205064440?
41012888*v
What is the h'th term of 10550, 7188, 3826, 464, -
|
{
"pile_set_name": "DM Mathematics"
}
|
composite number?
True
Is 6447641 prime?
False
Is 7647517 prime?
True
Is 18580659 a prime number?
False
Is 474783961 composite?
True
Is 536561 a prime number?
True
Is 57563983 composite?
False
Is 16677299 prime?
True
Is 4601939 prime?
True
Is 1854903 a prime number?
False
Is 84128533 a prime number?
False
Is 322147 a composite number?
True
Is 1395662 prime?
False
Is 1553393 a prime number?
False
Is 91545587 prime?
False
Is 109755377 prime?
True
Is 5094991 a prime number?
False
Is 7418381 composite?
True
Is 2925299 prime?
False
Is 145222171 a composite number?
False
Is 4239003 prime?
False
Is 796197 composite?
True
Is 16994221 prime?
False
Is 23186017 a prime number?
False
Is 44103827 a composite number?
False
Is 4671083 composite?
True
Is 3514241 a composite number?
False
Is 11942807 composite?
False
Is 25702715 prime?
False
Is 262585217 a prime number?
True
Is 7890133 composite?
True
Is 1296465691 prime?
True
Is 4244299 prime?
True
Is 15280361 a prime number?
False
Is 17050819 prime?
True
Is 1114031 composite?
False
Is 945547 a composite number?
False
Is 2417969611 prime?
True
Is 2962253 composite?
True
Is 1759159 a prime number?
True
Is 96079799 prime?
False
Is 733370251 composite?
True
Is 185149 prime?
True
Is 19994581 a prime number?
True
Is 135984031 a prime number?
True
Is 87573503 a prime number?
True
Is 32185379 a composite number?
False
Is 11552659 prime?
True
Is 492370561 prime?
False
Is 111732421 prime?
False
Is 56760794 composite?
True
Is 68349521 a composite number?
False
Is 37327819 a composite number?
False
Is 1779137 prime?
True
Is 456414479 prime?
False
Is 10100759 composite?
True
Is 57191431 a composite number?
True
Is 4638349 prime?
False
Is 3522037 a prime number?
False
Is 10540331 prime?
True
Is 48124207 a composite number?
True
Is 18875681 a composite number?
True
Is 4427251 a composite number?
False
Is 584849 composite?
False
Is 70176313 prime?
True
Is 423196619 a composite number?
True
Is 15326299 composite?
True
Is 78079357 a prime number?
False
Is 3740686 a prime number?
False
Is 3472069 a prime number?
False
Is 7017607 prime?
True
Is 568507 composite?
True
Is 30360539 a prime number?
False
Is 316666907 prime?
True
Is 141815839 a composite number?
True
Is 4324007 prime?
True
Is 110700367 composite?
True
Is 28637561 a composite number?
False
Is 54581399 composite?
True
Is 45399827 prime?
False
Is 547411 composite?
False
Is 516431221 a prime number?
True
Is 82794037 a composite number?
False
Is 15653263 a prime number?
True
Is 761964811 composite?
False
Is 2667871 a composite number?
False
Is 25347695 a prime number?
False
Is 421931269 a prime number?
True
Is 661060171 prime?
False
Is 1462861 a prime number?
True
Is 2813867 a composite number?
True
Is 2731049 a composite number?
False
Is 5416349 a composite number?
True
Is 3030581 a composite number?
False
Is 29414771 composite?
False
Is 257451377 prime?
True
Is 20958115 prime?
False
Is 383967583 prime?
False
Is 6229331 a prime number?
False
Is 2920109 a prime number?
True
Is 352331623 composite?
True
Is 17053667 a composite number?
True
Is 4680041 prime?
True
Is 5716283 a composite number?
True
Is 17155367 prime?
False
Is 1065593 prime?
True
Is 73563557 a prime number?
False
Is 66898649 a composite number?
False
Is 4266257 composite?
False
Is 2501143 a composite number?
False
Is 2570459 a composite number?
False
Is 8752847 a composite number?
False
Is 434088769 prime?
False
Is 14628193 a prime number?
False
Is 10833317 a prime number?
False
Is 24130121 a composite number?
True
Is 72816893 composite?
False
Is 2276779 prime?
True
Is 67899409 composite?
True
Is 14023367 composite?
False
Is 122592455 a prime number?
False
Is 570046226 a composite number?
True
Is 31570289 prime?
True
Is 1820237 prime?
True
Is 3165269 a prime number?
True
Is 321003409 a prime number?
True
Is 3135943 a composite number?
False
Is 1150953 a composite number?
True
Is 8413243 composite?
False
Is 9991669 prime?
True
Is 275641585 composite?
True
Is 16878391 composite?
True
Is 3292207 composite?
True
Is 6615821 prime?
False
Is 3498353 a composite number?
True
Is 557245031 composite?
True
Is 909737 a composite number?
False
Is 345450481 prime?
True
Is 5055893 prime?
False
Is 8556721 a composite number?
True
Is 71870767 composite?
False
Is 4579079 prime?
False
Is 14891651 prime?
False
Is 18701693 composite?
True
Is 354900079 a composite number?
False
Is 20592541 a prime number?
False
Is 458392931 a prime number?
True
Is 39752753 prime?
False
Is 56534927 a prime number?
False
Is 6693961 composite?
False
Is 128341129 composite?
True
Is 7511947 a prime number?
True
Is 4971223 a prime number?
True
Is 32255077 a composite number?
True
Is 18899761 prime?
True
Is 53470229 a prime number?
False
Is 30138971 prime?
False
Is 4968857 a composite number?
False
Is 445987 composite?
True
Is 105602261 prime?
True
Is 245722901 prime?
True
Is 67523 composite?
False
Is 239171923 a prime number?
True
Is 172884703 prime?
True
Is 44752757 a composite number?
True
Is 11195149 a composite number?
True
Is 817926407 prime?
False
Is 1651981 a prime number?
True
Is 4932481 a composite number?
True
Is 10310459 a prime number?
False
Is 117131501 a prime number?
True
Is 15961201 a composite number?
False
Is 1834933 a composite number?
True
Is 24089831 a prime number?
True
Is 20467859 prime?
True
Is 267479 prime?
True
Is 9361043 a composite number?
True
Is 7581773 a prime number?
False
Is 9228565 composite?
True
Is 307609 a composite number?
False
Is 941335295 a prime number?
False
Is 23012791 a composite number?
False
Is 1955801 prime?
True
Is 680177 prime?
True
Is 13919417 a prime number?
True
Is 51472667 prime?
True
Is 2281763 prime?
False
Is 216555341 a prime number?
True
Is 2884009 composite?
True
Is 152936093 composite?
False
Is 38877773 composite?
True
Is 217775419 composite?
True
Is 69007417 prime?
False
Is 4457177 prime?
False
Is 2299039 composite?
False
Is 11053279 a prime number?
False
Is 8349573 a prime number?
False
Is 259022317 prime?
False
Is 6584543 a composite number?
True
Is 272814361 a prime number?
True
Is 57025405 a composite number?
True
Is 18244013 prime?
True
Is 51728543 prime?
False
Is 20065363 composite?
True
Is 55901113 a composite number?
True
Is 21537379 composite?
False
Is 20951629 a prime number?
False
Is 7009543 composite?
False
Is 168333853 a composite number?
False
Is 62789093 a composite number?
False
Is 429907787 a composite number?
False
Is 8719 prime?
True
Is 28641593 prime?
True
Is 132257779 composite?
False
Is 1954087 a prime number?
True
Is 21936479 prime?
False
Is 370459 a composite number?
True
Is 396479 prime?
True
Is 844081597 a composite number?
False
Is 1298639 a prime number?
False
Is 7905343 a composite number?
False
Is 236574773 prime?
True
Is 1092682835 a composite number?
True
Is 16610267 prime?
True
Is 616102 prime?
False
Is 13934719 a prime number?
True
Is 191227 prime?
True
Is 11433523 a prime number?
True
Is 243026387 a prime number?
False
Is 38668702 a prime number?
False
Is 628003 composite?
True
Is 557857 composite?
False
Is 318011 a prime number?
False
Is 4090237 composite?
False
Is 142884933 composite?
True
Is 2312521 composite?
False
Is 1077614497 a composite number?
True
Is 184721567 a prime number?
True
Is 4646393 prime?
False
Is 10021049 a composite number?
False
Is 200186521 prime?
True
Is 728417 composite?
False
Is 96140839 a prime number?
True
Is 57968293 composite?
True
Is 35476601 a composite number?
False
Is 812309 a composite number?
False
Is 77304719 a composite number?
True
Is 52553155 a prime number?
False
Is 108109387 a prime number?
True
Is 14272301 composite?
False
Is 3334309 prime?
False
Is 3287761 a prime number?
True
Is 3356833 prime?
True
Is 124024757 composite?
True
Is 533543 a composite number?
False
Is 2317109 prime?
True
Is 19348169 a prime number?
True
Is 7087769 a composite number?
True
Is 1607677 a composite number?
True
Is 18684469 composite?
False
Is 1554863 a composite number?
False
Is 104362903 prime?
False
Is 696517 prime?
True
Is 603515129 a prime number?
False
Is 58987 composite?
True
Is 8700449 prime?
True
Is 46151333 prime?
False
Is 7640511 composite?
True
Is 1340273 composite?
True
Is 41959691 a prime number?
True
Is 10732721 a c
|
{
"pile_set_name": "DM Mathematics"
}
|
nd give l.
589
Express 2 - 2*g + 5*g + 4*g**2 - 2*g**3 - 6*g**2 in the form r + x*g**2 + u*g + w*g**3 and give x.
-2
Express -3662*n - 1 + 3604*n + 1 as k*n + d and give k.
-58
Express (-3 + 3 + i**2)*(4*i - 3*i + 2*i) + i**3 - 3*i**3 + 22 + 2*i**2 + 5*i**3 in the form w*i + x + r*i**3 + p*i**2 and give r.
6
Rearrange -3*t**3 + t**3 + 4*t**3 + (22 + 8 - 4)*(-3 + 3 + 4*t**3) - t**2 + t**2 - t**3 to a + y*t + g*t**3 + u*t**2 and give g.
105
Rearrange -y**3 - 124*y**4 + 37*y + 2*y**2 + y**3 - 21*y - 20*y to n*y**3 + c*y**2 + o*y**4 + p + j*y and give c.
2
Express 33 + 34 - 66 - 16*u + 17*u as o*u + n and give o.
1
Express -4*p**3 - 17428 + 2*p - p**2 - 17434 + 34860 in the form k*p + o*p**2 + y + c*p**3 and give k.
2
Express -1321*f**3 + 137500*f - 137498*f + 22*f**3 in the form i*f + v + y*f**3 + k*f**2 and give i.
2
Rearrange (-5 + 16 + 15)*(-2*j + 4*j - 4*j)*(15*j + 8*j - 9*j) to z*j + m*j**2 + v and give m.
-728
Express (7*r - 4*r + 3*r)*(-174 + 109 - 221) as m + j*r and give j.
-1716
Rearrange 1 - 334*n**2 + 167*n**2 + 13*n + 170*n**2 - 2 to q + d*n**2 + t*n and give q.
-1
Express (-6*k**4 - k**4 + 2*k**4)*(4 + 1 - 28) in the form j*k + u + o*k**4 + p*k**2 + d*k**3 and give o.
115
Express 2*h**3 + 147 - 9*h - 54 - 43 + h**4 - 46 in the form x*h**3 + g*h**4 + a*h**2 + u + m*h and give g.
1
Express 103*m + 2*m**2 + 134*m + 20*m in the form j + h*m + k*m**2 and give h.
257
Rearrange 20 - 3*i**3 - 12 + 8*i + i**2 - 7 + i**3 to the form r*i**3 + z*i**2 + u + j*i and give z.
1
Express -5*v + 5 + 3*v**2 - v**2 - 6 - 3*v**3 + v in the form d*v**2 + q + s*v + y*v**3 and give q.
-1
Rearrange -n**2 + 2*n - 2*n - 4*n + (-2*n + 4 + 2 - 3)*(-2 - 3 + 0 - 2*n) to the form c + v*n + l*n**2 and give c.
-15
Rearrange (13 - 13 - 3*g**3)*(-10*g + 7 - 7) + (-2 + 2 - g**2)*(103 - 103 + 10*g**2)*(3 - 2 + 0) to r*g**3 + j*g**4 + i*g + v*g**2 + h and give j.
20
Express 3 + 23*k - k**3 - 38*k - 2*k**3 as t*k**3 + u*k + v*k**2 + n and give t.
-3
Express 5*y - 19*y + 4*y + 10*y + 5*y**3 - 53 as m*y**2 + k + b*y + d*y**3 and give k.
-53
Express 109*n**2 - 25*n**2 + 16*n**2 in the form u*n + m + x*n**2 and give x.
100
Express -z**2 + 4*z**2 - z**2 - 20*z - z**2 + 77*z in the form m*z + n*z**2 + q and give m.
57
Rearrange 12*s**3 + s + 2 + 5*s**3 - 4 - 29*s**3 + 11*s**3 to the form b + r*s**3 + y*s + w*s**2 and give b.
-2
Rearrange (-150 - 307 + 95 - 171)*(-5*d + 5*d - 2*d) to r*d + l and give r.
1066
Express (2*l**3 + 0 + 0 + (-1 + 1 - 5*l)*(l**2 - 6*l**2 + l**2))*(0*l + 5*l - 3*l) as r*l**4 + f*l**2 + d*l + b*l**3 + u and give r.
44
Express (11 - 12 + 21)*(6 - 2 - 2)*(-16 + 1 - 46*s**2 + 44*s**2) as l*s**2 + d*s + v and give d.
0
Rearrange (2*t + t - 5*t)*(-1 + 2 + 5)*(0*t + 21*t + 0*t) to c*t**2 + r + o*t and give c.
-252
Rearrange (-2 + 3 - 3)*(0*w**2 - 2*w**2 + 0*w**2)*(9 + 7 - 7)*(-4 + 2*w - 2 + 5) to p*w**2 + k*w**3 + u + c*w and give p.
-36
Rearrange (-480*i**2 - 11*i - 6 + 4 + 482*i**2)*(3 + 6 + 1 + (-2 + 3 - 3)*(-1 + 3 - 3) - 5 + 3 + 3) to the form l*i + d*i**2 + n and give d.
26
Express (0 + d**2 + 0)*((3 + 4 - 6)*(3 - 3 - 4*d)*(-3 + 1 + 3) - 34594 - 181*d + 34594) in the form s + f*d**2 + w*d**3 + z*d and give w.
-185
Rearrange -2*m**4 + 2*m**4 - m**4 + (-39*m**4 - 21 + 21)*(20 + 23 - 51) to p*m**3 + j*m + d*m**2 + r + b*m**4 and give r.
0
Rearrange 4418 - 2206 - 1634*y - 2212 to the form r + k*y and give k.
-1634
Rearrange 55 - 10*o**2 + 12*o**2 - 19*o - 53 to i*o**2 + s*o + k and give k.
2
Express -11*u**2 - 7*u**2 + 2*u - 7*u**2 - 83 + 27*u**2 as k*u + x + y*u**2 and give k.
2
Rearrange 69*h**4 - 46*h**4 - 22*h**4 + 3 + h**2 + h - 113*h**3 to the form t*h**2 + p*h + w + x*h**4 + a*h**3 and give a.
-113
Express -896567 + 896567 - 1610*z**2 in the form f*z**2 + r*z + o and give f.
-1610
Express -7*i + 2*i**3 + 6*i + 88*i**2 - 1051*i**4 + 1050*i**4 in the form h*i**3 + f*i**4 + v + b*i + l*i**2 and give b.
-1
Rearrange (13*m**2 + 2*m**2 - m**2 - 4*m**2)*(-3 - 1 - 2) to the form f + t*m + r*m**2 and give r.
-60
Express (-531 + 1059 - 531)*(0*k + 4*k - 5*k) in the form z*k + w and give z.
3
Express 32*c**2 + 3 + c**3 - 44*c**2 + 77*c**2 in the form s*c + g + k*c**3 + y*c**2 and give g.
3
Express (19 - 7*x - 19)*(8*x + 1 + 7*x + 1) as f*x**2 + u*x + p and give p.
0
Express -35*o + 6 + 24*o + 12*o as t*o + x and give x.
6
Express -3*w**2 - 806*w + 4*w**2 - 3 + 799*w as z + p*w**2 + u*w and give p.
1
Rearrange -11*u + 16*u + 29*u - 2*u - 2 + 2 - 2*u + 5*u - 2*u + 1 - 1 - u + (4 - 5 + 2)*(-4 + 4 - 2*u) + u - 5*u + 2*u - u + 2*u + 8*u to d + h*u and give h.
37
Express 1 + 44695*b**2 - 1 - b - 44715*b**2 as c*b + l*b**2 + p and give p.
0
Express 582*y**2 + 84*y**2 - 2 - 2*y - 1 - 12*y**2 + 115*y**2 in the form o + d*y + j*y**2 and give o.
-3
Rearrange -42*k + 7*k**3 - 20*k**3 + 14*k**3 - 2*k**2 + 0*k**2 to w + h*k**2 + c*k**3 + q*k and give c.
1
Rearrange 59*i**2 + 22*i**2 + 20*i**2 + 50*i**2 + 52*i**2 to the form g + d*i + b*i**2 and give b.
203
Express -27*z**3 + 0*z**2 + 193*z - z**4 + 10*z**3 - 46*z**3 - 191*z + 2*z**2 as t*z**3 + f*z + d + h*z**2 + l*z**4 and give h.
2
Express (-854*p + 12 - 39 + 852*p)*(-2*p - 4*p - p) in the form g*p + z + u*p**2 and give u.
14
Express -72 + 3*j**2 - 8*j + 73 + 7*j in the form t*j**2 + m + u*j and give u.
-1
Express (-1 + 1 + 3)*(7 - 7 - 11)*(-1 - l**4 + 1) + 1 - l**4 - 1 as u*l**3 + h*l**2 + j + c*l**4 + i*l and give c.
32
Express -2*t**3 - 3*t + 24463*t**2 - 24466*t**2 + t as d*t + w*t**2 + q*t**3 + u and give q.
-2
Express 2*l**4 - l**2 + l + l**2 + 4 - 4*l**2 - 3 + 2*l**2 in the form w*l**3 + z*l + d + t*l**2 + u*l**4 and give d.
1
Express -904*g - 1221*g - 1568*g + 210*g + 894*g in the form m + j*g and give m.
0
Express -5*b**4 + 2*b**2 + 7*b**4 + 16258*b**3 + 762*b - 16258*b**3 as t*b**2 + x + u*b**3 + a*b**4 + d*b and give d.
762
Express -z**3 + 2*z**4 + 38 - 10*z**2 - 79 + 43 in the form l*z + f*z**3 + w*z**2 + h*z**4 + p and give h.
2
Rearrange (-k + 0 + 0)*((-3 + 5 - 1)*(-2 + 2 + 2) - 1 - 3 + 2 - 1 - 2 + 0 + 2 + 2 - 5)*(-3*k**2 + 3*k**2 - 16*k**2) to w + p*k**2 + b*k**3 + n*k and give b.
-64
Express -10*o + 10*o - 2*o**3 + 21*o**2 as c*o + l + d*o**2 + m*o**3 and give m.
-2
Rearrange -29 - 5*t**4 + 10 - 16*t + 9 + t**3 + t**2 + 3*t**4 to the form a*t**2 + m*t**3 + i*t + z + p*t**4 and give z.
-10
Rearrange -435*g**3 - 63*g**2 + 55*g**2 - 36*g**2 + 1 - 59*g**2 + 436*g**3 to v*g**2 + n + s*g**3 + l*g and give n.
1
Rearrange (-1236*v + 627*v + 691*v)*(2*v + 0*v - 3*v) to l*v**2 + d + p*v and give l.
-82
Rearrange 201*m - 253*m - 529*m + 0 + 0 to the form p + x*m and give x.
-581
Express (-4 - 2 + 5)*(-4827*s + 49784311 - 49784311) as j + g*s and give g.
4827
Rearrange 19*m**2 - 2*m + 8*m**2 - m**3 + m**2 - m**2 to o*m**3 + f*m**2 + z + d*m and give f.
27
Express -107*q**2 - 21*q - 126*q**2 + 234*q**2 + 9*q in the form d*q + l + r*q**2 and give l.
0
Express (628*u - 628*u - 31*u**2)*(-1 + 3 + 2) - 3*u**2 + u**2 + 3*u**2 + (1 - 2*u - 1)*(u - 1 + 1) in the form b*u**2 + r + t*u and give b.
-125
Express 3*z**4 + 33*z**2 + 2 - 21*z**2 + 8*z**3 + 56*z**2 - z**3 - z - 6*z**3 in the form j*z + k*z**2 + m*z**3 + d + u*z**4 and give u.
3
Express (-6*a**2 + 6*a**2 - a**3)*(3*a + 4 + 6*a - 3*a) in the form d*a + u + g*a**4 + m*a**3 + y*a**2 and give u.
0
Express (128*t + 121*t + 135*t)*(2*t - 2*t + t - 1) as j*t + w + v*t**2 and give v.
384
Express 2828*c - 28*c**2 - 70*c**2 - 2830*c in the form b*c + q + u*c**2 and give b.
-2
Express 81*r**2 + 32*r**2 + 290*r**2 as h + y*r + s*r**2 and give s.
403
Rearrange -2*z**3 + 49*z**2 - z**3 - 13*z**2 to the form t + d*z**2 + a*z**3 + f*z and give d.
36
Rearrange (-2*n + n**2 + 2*n)*((1 - 3 + 6)*(-27 + 37 + 46) + 2 + 0 + 0) to the form r + i*n + j*n**2 and give j.
226
Rearrange (-5*y - 3*y + 6*y)*(-93*y**2 + 186*y**2 + 2*y - 90*y**2 + 22*y**3) to the form m*y**3 + t*y**4 + x*y + s + v*y**2 and give v.
-4
Rearrange (-1318 + 981 + 741)*(2*d + 8 - 8) to the form w*d + h and give w.
808
Express (44*y - 141*y - 2344 + 2342 - y**3)*(-1 + 1 + 6) in the form m*y**2 + c + v*y + t*y**3 and give c.
-12
Rearrange 10 + 1 + 34*o - 2*o**3 - 66*o - 7*o**4 + 30*o - 1 to c + v*o + g*o**2 + n*o**3 + l*o**4 and give v.
-2
Express (1 + 5 - 3 + (-1 - 2 + 4)*(0 + 1 + 1))*(-u**4 + 2*u**4 + u**4) - 11*u**4 + 7 -
|
{
"pile_set_name": "DM Mathematics"
}
|
b of sequence hlvw when four letters picked without replacement from lyvlflyvhlwv.
1/990
Four letters picked without replacement from {l: 2, b: 10}. What is prob of sequence blbb?
4/33
Two letters picked without replacement from cmmmmmmmmmmmcmmmcc. Give prob of sequence mc.
28/153
Two letters picked without replacement from {j: 4, m: 5, l: 3}. Give prob of sequence lm.
5/44
What is prob of sequence tizy when four letters picked without replacement from {i: 8, z: 1, p: 1, y: 2, t: 1, r: 2}?
2/4095
Calculate prob of sequence ppi when three letters picked without replacement from pppipiiiii.
1/10
Two letters picked without replacement from {c: 2, x: 1, w: 1}. Give prob of sequence xw.
1/12
Two letters picked without replacement from eeeeeeeeekeeeee. Give prob of sequence ee.
13/15
What is prob of sequence lkl when three letters picked without replacement from {k: 4, l: 7}?
28/165
What is prob of sequence cjc when three letters picked without replacement from ccju?
1/12
Two letters picked without replacement from wgwgwwg. Give prob of sequence gg.
1/7
What is prob of sequence gr when two letters picked without replacement from zrgze?
1/20
Three letters picked without replacement from wrwwwwxwwwwwwwwwx. What is prob of sequence xww?
91/1020
Calculate prob of sequence uf when two letters picked without replacement from {h: 3, f: 1, t: 4, u: 1, y: 2}.
1/110
What is prob of sequence ohfh when four letters picked without replacement from {f: 1, o: 3, p: 8, d: 1, h: 2, l: 1}?
1/7280
What is prob of sequence qb when two letters picked without replacement from {m: 1, h: 2, w: 2, z: 1, q: 1, b: 1}?
1/56
Two letters picked without replacement from {i: 1, l: 2, s: 6, d: 4, b: 1, m: 4}. Give prob of sequence ld.
4/153
Four letters picked without replacement from ggzzhzzzzhzh. Give prob of sequence hhgz.
7/990
Four letters picked without replacement from kjhkhhkhhhkhhh. Give prob of sequence kkhj.
9/2002
Calculate prob of sequence oop when three letters picked without replacement from {g: 1, p: 3, o: 3, t: 5, r: 3}.
3/455
What is prob of sequence nhh when three letters picked without replacement from vhhvkhhnvhhhv?
7/286
Two letters picked without replacement from {z: 1, e: 1, u: 4, i: 1, b: 2}. Give prob of sequence ui.
1/18
Two letters picked without replacement from qpqpuqqpsp. Give prob of sequence qq.
2/15
Calculate prob of sequence jsn when three letters picked without replacement from ennknkkkknsjekj.
4/1365
Calculate prob of sequence bnnn when four letters picked without replacement from llbllnnonnnnnnz.
2/195
Four letters picked without replacement from cazz. What is prob of sequence zzzz?
0
Two letters picked without replacement from yyttybtyii. Give prob of sequence tb.
1/30
What is prob of sequence ww when two letters picked without replacement from {u: 4, w: 6}?
1/3
What is prob of sequence ts when two letters picked without replacement from hhhgygtghhgshyh?
1/210
What is prob of sequence jrnk when four letters picked without replacement from rrnkjjrjkkrrkjkrjjj?
35/15504
What is prob of sequence fn when two letters picked without replacement from {f: 7, n: 4, w: 2}?
7/39
Four letters picked without replacement from {o: 3, x: 4, e: 3, z: 2, h: 4}. What is prob of sequence zzeo?
3/7280
What is prob of sequence ss when two letters picked without replacement from {a: 7, s: 9}?
3/10
Two letters picked without replacement from znzn. What is prob of sequence zn?
1/3
Three letters picked without replacement from ococooooooocoo. What is prob of sequence coc?
11/364
What is prob of sequence wec when three letters picked without replacement from {w: 5, c: 1, f: 1, e: 1, z: 4}?
1/264
Four letters picked without replacement from ggssgsg. Give prob of sequence ssgs.
1/35
Calculate prob of sequence sf when two letters picked without replacement from {l: 4, u: 5, f: 1, c: 5, s: 4}.
2/171
Calculate prob of sequence fvv when three letters picked without replacement from vvfm.
1/12
Three letters picked without replacement from {q: 6, i: 3, u: 1, c: 6, g: 3, k: 1}. Give prob of sequence ici.
1/190
Calculate prob of sequence eet when three letters picked without replacement from {b: 7, t: 4, e: 4}.
8/455
Two letters picked without replacement from {c: 7, x: 12, k: 1}. What is prob of sequence kx?
3/95
Calculate prob of sequence jr when two letters picked without replacement from jrujrjrjruj.
2/11
Two letters picked without replacement from {r: 7, u: 2}. Give prob of sequence uu.
1/36
What is prob of sequence cv when two letters picked without replacement from {w: 1, c: 1, r: 1, v: 1, b: 1}?
1/20
What is prob of sequence hp when two letters picked without replacement from {p: 1, f: 1, b: 2, h: 3}?
1/14
Three letters picked without replacement from uuzumumzu. Give prob of sequence muz.
5/126
What is prob of sequence eje when three letters picked without replacement from zczezeneccjchez?
2/455
Calculate prob of sequence ww when two letters picked without replacement from {e: 1, w: 5, v: 6, z: 7}.
10/171
What is prob of sequence umww when four letters picked without replacement from wmmumwmmwu?
1/84
What is prob of sequence jsjl when four letters picked without replacement from sssjjjjjl?
5/252
Two letters picked without replacement from sthsshohsswossthutst. What is prob of sequence ho?
2/95
What is prob of sequence jc when two letters picked without replacement from jjcjjjjjjjjj?
1/12
Calculate prob of sequence if when two letters picked without replacement from {f: 1, p: 2, h: 1, i: 1}.
1/20
Four letters picked without replacement from chhccrecccmhcrcnrc. Give prob of sequence chce.
1/340
Calculate prob of sequence oqqo when four letters picked without replacement from {p: 6, q: 2, o: 11}.
55/23256
Calculate prob of sequence pop when three letters picked without replacement from pjppppppjfpojjjjtpo.
8/323
Calculate prob of sequence uf when two letters picked without replacement from {q: 6, f: 2, u: 7}.
1/15
What is prob of sequence hwf when three letters picked without replacement from {w: 1, b: 1, f: 1, h: 1, x: 1}?
1/60
Calculate prob of sequence uuyu when four letters picked without replacement from yyyyyuuyyyyuyyyuuyy.
35/3876
Four letters picked without replacement from {b: 2, p: 2, s: 3, d: 1, f: 2, h: 2}. What is prob of sequence dsss?
1/1980
Two letters picked without replacement from ccychschccscscschysc. What is prob of sequence hc?
3/38
Two letters picked without replacement from jddjdajjkkgdjikdd. What is prob of sequence gj?
5/272
Two letters picked without replacement from {l: 2, h: 3}. Give prob of sequence lh.
3/10
What is prob of sequence lga when three letters picked without replacement from {a: 1, o: 7, l: 2, d: 1, g: 3, i: 3}?
1/680
Four letters picked without replacement from {e: 1, d: 1, z: 1, b: 2, k: 1, y: 1}. Give prob of sequence ybzb.
1/420
Calculate prob of sequence sffq when four letters picked without replacement from {f: 3, s: 1, q: 1}.
1/20
Two letters picked without replacement from gggqnggqzlzzq. What is prob of sequence zl?
1/52
What is prob of sequence kwn when three letters picked without replacement from vvwwwwkwrnwnnvrr?
3/560
Calculate prob of sequence xqgr when four letters picked without replacement from {q: 3, d: 2, y: 1, x: 4, r: 3, g: 2}.
1/455
Two letters picked without replacement from acmmyamyvyvcymtmm. What is prob of sequence ty?
1/68
Four letters picked without replacement from {g: 2, v: 1, s: 3, r: 4}. Give prob of sequence rrrv.
1/210
What is prob of sequence llll when four letters picked without replacement from {h: 10, l: 4}?
1/1001
What is prob of sequence ii when two letters picked without replacement from {d: 5, i: 4, k: 2}?
6/55
Two letters picked without replacement from {w: 3, p: 9}. Give prob of sequence wp.
9/44
What is prob of sequence ey when two letters picked without replacement from {p: 7, y: 2, e: 2, t: 4, i: 1}?
1/60
Calculate prob of sequence hd when two letters picked without replacement from {d: 2, h: 13, x: 1, y: 1, v: 1, r: 2}.
13/190
What is prob of sequence pa when two letters picked without replacement from pzppppzpppzazpzpz?
5/136
Calculate prob of sequence zlib when four letters picked without replacement from gmmlmzimmmglggblgml.
1/23256
Three letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
k(-2). Which is greater: s or t?
t
Let c be (-37287)/65 + (-4)/26. Let w = -576 - c. Suppose 3*h = 4*y - 2*h + 27, 2*y = 2*h - 12. Are y and w unequal?
True
Let d be (-4)/(-30)*220/33. Let a = 43/18 - d. Is -2/13 equal to a?
False
Suppose -6*t + 52 = -58*t. Is t less than or equal to -2/3243?
True
Suppose -2*p = -7*p + q + 18, -3*q - 18 = -3*p. Suppose p - 8 = -5*z. Let s = -41 + 124/3. Which is smaller: z or s?
s
Suppose -23*o + 3*j - 1641 = -26*o, 2*o - 1106 = 4*j. Which is greater: 550 or o?
550
Let y = 72 + -97. Let n = -29 - y. Which is greater: n or 1.7?
1.7
Let i(v) be the second derivative of v**4/12 - v**3/2 - v. Let o be i(3). Let k = 247 - 1726/7. Which is smaller: o or k?
o
Suppose 100 = -8*g + 13*g. Suppose -4*n - n = g, 3*n = -5*q + 28. Suppose 4*s + 16 = 4*l, -4*l + 0*l + q = 0. Is -7/5 <= s?
False
Let h = 14 - 13.93. Let d = h + 0.14. Let c = d + -0.11. Do c and 0.1 have different values?
False
Suppose -28 = 10*v + 202. Is -68/3 at most v?
False
Let r be 2 + -3 + 105/(-3). Let s = r + 56. Which is greater: s or 39/2?
s
Let u = 2123/2 - 4001/4. Is u at least 60?
True
Let i(d) = 2*d**2 + 4*d - 6*d**2 - 2 + d**3 - 3*d**2. Let c be i(7). Are 26 and c non-equal?
False
Suppose -x = -2141 + 2460. Is x < -319?
False
Suppose -121 = -4*r + z, 33 = 3*r - 5*z - 45. Let m = 24 - r. Is -7 less than or equal to m?
True
Let i be -13*(-142)/(-54)*3. Let o = i - -103. Which is smaller: o or -1?
-1
Let h = -0.0217 + 3.0217. Let r = 9 + -4. Which is smaller: r or h?
h
Let c(y) = 6*y + 19. Let w be c(-3). Let z be -2 - w - (-6 - (4 - 7)). Is -2 bigger than z?
False
Let k be (-16)/72 - (-101)/576. Is 0 greater than k?
True
Let v = 158 + -144. Which is bigger: v or 2?
v
Let u = -39 - -46. Suppose t - u = 14. Let f be 128/6 - 8/(-12). Which is greater: t or f?
f
Suppose -6 = -4*g - 2, 0 = 2*u - 3*g - 1. Which is smaller: u or 3/53?
3/53
Let x = -4998 + 4999. Suppose -95 = -4*m - m. Let v = -7 + m. Which is smaller: x or v?
x
Let i = -4851209908/3507 - -4149881/3. Let w = 1/167 + i. Is 67 at most w?
False
Let r be 0/(((-2)/10)/(3/(-30))). Let o = 543/8 + -68. Which is smaller: o or r?
o
Let a be 25/(4 + -9) - -2. Let l = 25.9 - 26. Which is smaller: a or l?
a
Let g be (-3 + 1 + 3)*-1. Let j be (-2802)/1592 + 2 + g. Let w = 2/199 + j. Which is bigger: w or -1?
w
Let u = 31 + -42. Let d = 11.1 + u. Which is greater: d or 0.3?
0.3
Let x be (-12 + 2)*12/(-18)*-15. Let j = -72 - x. Which is smaller: j or 27?
27
Let o = 0.1 - 0.1. Let d be (-10)/(-1020)*2/(-27). Let n = -22039/9639 - d. Which is bigger: o or n?
o
Let q(z) = -47*z**3 + 3*z - 3. Let r be q(1). Is -46 greater than r?
True
Let h = -22 - -27. Let p = -26 + h. Is -20 greater than or equal to p?
True
Let r = -37/31 - 2171/155. Let q = r - -15. Is 1/3 < q?
False
Let o be 1/(-1) + (18 - -3). Suppose 5 = 5*x - o. Suppose 5 = -3*b - d - 3*d, -x*b - 4*d - 3 = 0. Which is smaller: 2/5 or b?
2/5
Let w = -13 + 12. Let s(b) = b + 3. Let t be s(-3). Are w and t non-equal?
True
Suppose -5*j + 274 = r, -2*j = 3*j - 2*r - 262. Which is greater: 2 or j?
j
Let z = 188 + -6393/34. Suppose 2*k = -2*d - 52, d = 2*k - 4*k - 47. Let v be (-3)/7 + (-9)/k. Which is bigger: z or v?
v
Suppose -5*c = -11*c + 12. Suppose -4*b - 2 = 22. Let l be b/(0 + -2) + 2. Are l and c equal?
False
Suppose -5*d + 2*f = 4 - 19, 3*f - 35 = -4*d. Suppose 0 = d*r - 0*r - 15. Suppose 5*j = -r*b + 40, -5*j + 13 = -b - 7. Which is smaller: 3 or b?
3
Let s = -220 - -323. Let y = s - 102.9. Is y at most -45?
False
Suppose -10*k + 36 = -4*k. Let h be (0 + 1)*k/(-3). Is -32/13 != h?
True
Let w(a) = a**3 - 6*a**2 + 4*a - 20. Let m be w(6). Suppose -m*n + 6*n - 22 = -2*i, n + 2*i - 10 = 0. Which is smaller: 8 or n?
8
Let i(p) = -p - 6. Let k be i(-8). Let z be k/4 + 77/(-98). Let l = -33/5 + 6. Is z at least l?
True
Let o = -4229/3939 - 1/303. Is o bigger than -1?
False
Let q = 1558 + -1568. Are q and -0.5 non-equal?
True
Let f be (-1 + 1)/(2/(-2)). Suppose -w = -2*o - 12, 7 = -4*w - 2*o - o. Suppose 2*j + 2 = -w*i, 7*j + i = 5*j - 3. Which is greater: f or j?
f
Let g(s) = s**2 + 5*s - 8. Let d be g(-7). Suppose d*l = l + 15. Let o(a) = a**3 - 3*a**2 - 4*a + 3. Let t be o(l). Which is greater: t or -10?
t
Let f be 11/44 - (-277)/76. Let d = -4 + f. Which is smaller: 0 or d?
d
Suppose -h + 3*d = -0*h - 10, -5*h = 4*d + 26. Are 6 and h unequal?
True
Let j be 2/4 + -5 + (-447)/(-6). Suppose 0*h = 10*h + j. Is -2 >= h?
True
Suppose 4*s - 13 = 59. Let w be (-4 - 21/(-3)) + s. Which is smaller: 19 or w?
19
Suppose -2*u + 66 = 2*i, -5*i + 51 = 3*u - 44. Let l(w) = -5*w**2 - 2*w. Let c be l(2). Let v = u + c. Which is smaller: 10 or v?
10
Let t be (115/35 - 3)/((-2)/(-14)). Suppose 0 = -2*w + t*u + 6, -16 - 12 = 4*w + 4*u. Is -3 less than or equal to w?
True
Let b be (-1 - 1)/((-28)/(-490)). Which is bigger: b or -37?
b
Let r = 0.53 - 0.37. Let x = 11.25 - 11. Let q = r - x. Which is bigger: q or -1?
q
Let b = 145 - 96. Let x = b - 253/5. Suppose -3*h + 7 = -3*u - h, -2*u + 5*h - 1 = 0. Which is bigger: u or x?
x
Let d = 0.1 - 0.2. Let b = -7.16 + 10.26. Is b <= d?
False
Let q be 1 + -1 + (-2)/(-1). Let g = -2 + q. Suppose g*b + 2*b = -5*d + 22, 5*b - 13 = -2*d. Which is smaller: d or 3?
3
Let h = 217 + -1086/5. Is 4/39 greater than h?
True
Let q = 1092 + -1081. Which is smaller: 68 or q?
q
Suppose -11*n + 26*n = 6240. Is n greater than or equal to 415?
True
Suppose -20*p + 32 = 472. Which is smaller: p or -30?
-30
Let r(t) = -4*t - 370 + 3*t + 352. Let d be r(-17). Let p = 4 - 6. Is d at most p?
False
Let c(h) = -h**3 + 2*h. Suppose -g + f + 3*f + 11 = 0, -3*g = -f - 55. Let i = 17 - g. Let k be c(i). Is k less than 5?
True
Let b be (-12)/9*(-22)/2684. Which is bigger: 0 or b?
b
Let p(r) = r - 9. Suppose f - 2 = -5*c + 12, -1 = -c. Let n be p(f). Let h = n - 1. Is -7 >= h?
False
Let h = -54.067 + 0.067. Are -2/7 and h nonequal?
True
Let x(c) = c**2 - 15*c + 44. Let j be x(15). Suppose -y + k = -k + j, -3*y - 5*k = 165. Which is smaller: -2/5 or y?
y
Let l = 1.9723 + 0.0277. Let m = 2429/6 + -403. Let u = m + -3/2. Which is smaller: l or u?
u
Let n = 582.906 - 588. Let d = n - -0.094. Is d at least as big as -1/9?
False
Let b = -61 - -96. Let l = -29 + b. Is 0 at most as big as l?
True
Let r = -10427/6 + 1738. Are r and -7.3 unequal?
True
Let n(h) = -7*h + 69. Let d be n(10). Which is greater: 1/171 or d?
1/171
Let f = 78.7275 + -0.0275. Let k = f - 9.7. Are k and -2/5 nonequal?
True
Let g = 261/4 - 61. Which is greater: -0.8 or g?
g
Suppose 0 = -89*f + 100*f - 3542. Which is bigger: f or 0?
f
Suppose 0 = -4*l + 2*i - 8, -5*l + i = -i + 8. Is l equal to 1/130?
False
Suppose -4*x + 28 - 30 = 2*d, 2*d = 3*x - 9. Do -39 and d have the same value?
False
Let m = 22517/156 - 1806/13. Let w = -12009307/180 - -66713. Let q = m + w. Are q and -1 equal?
False
Let j = 22 + -19. Suppose 0 = -0*a + a + 1. Which is smaller: a or j?
a
Let h be 4/18 - (1 - 1263/27). Let o = h + -37. Let a(m) = m**3 + m**2 - m - 2. Let k be a(2). Which is bigger: o or k?
o
Let w = -41.49 - -42. Let y = -3.49 - w. Which is smaller: y or -1/4?
y
Let v = 1008 + -1052. Is -15 at most as big as v?
False
Let k = 911 + -643. Which is bigger: k or 269?
269
Let s(l) = 21*l + 85. Let j be s(-29). Which is bigger: -525 or j?
j
Let l(p) = p**3 - 10*p**2 - 18*p + 3. Let w be l(12). Is 74 greater than or equal to w?
False
Let g(j) = 3*j - 6. Let q be g(3). Suppose -27 = q*m - 9. Which is bigger: m or -7?
m
Let j = -0.0299 + -0.9701. Suppose 0 = -2*t + 4*t - 2*b + 18, 0 = t + 2*b - 6. Let n(f) = f**2 + 6*f + 1. Let w be n(t). Is j > w?
True
Let a(v) = v**3 + 5*v**2 - 11*v - 5. Let b be a(-7). Let h be b/(-3) + (-16)/24. Suppose 14 = -2*d + 5*t + 2, 0 = -2*d + 3*t - h. Which is smaller: d or -4/13?
d
Let b(v) = -v**3 - 3*v**2 + 10*v - 1. Let l be b(-5). Let d = 1107 - 7764/7. Which is smaller: d or l?
d
Suppose -4 = -4*q, -q - 15 = 4*y - 8. Let l(j) = -j**3 + 8*j**2 - j + 3. Let s be (-26)/(-3) + 10/(-15). Let a be l(s). Is a smaller than y?
True
Let f(j) = 2 - 3*j + 3*j + j. Let t be f(0). Suppose r = -2 + 6, t*v = -r + 4. Is 0 greater than v?
False
Let t(i) = -13*i + 4. Let h be t(6). Let y = 667/9 + h. Suppose 3*z + 0 = 3. Is y < z?
True
Let t = 5 - 1. Suppose g = -4*l, 0 = -2*g + t*g - 5*l. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
erm of -245008, -489985, -734962, -979939?
-244977*f - 31
What is the f'th term of 32865459, 65730917, 98596375, 131461833, 164327291?
32865458*f + 1
What is the y'th term of 97058, 776938, 2622350, 6216068, 12140866, 20979518?
97129*y**3 - 8*y**2 + y - 64
What is the m'th term of -135754, -1086130, -3665710, -8689096, -16970890, -29325694?
-135767*m**3 - 7*m + 20
What is the n'th term of -13022529, -13022534, -13022553, -13022592, -13022657, -13022754, -13022889, -13023068?
-n**3 - n**2 + 5*n - 13022532
What is the y'th term of -36622, -36652, -36682, -36712, -36742, -36772?
-30*y - 36592
What is the a'th term of -71878022, -71878020, -71878018, -71878016, -71878014, -71878012?
2*a - 71878024
What is the p'th term of -16350793, -32701585, -49052377, -65403169?
-16350792*p - 1
What is the y'th term of -340663, -681274, -1021885?
-340611*y - 52
What is the z'th term of 719364, 1438715, 2158064, 2877411, 3596756?
-z**2 + 719354*z + 11
What is the a'th term of -397, -1141, -2347, -3985, -6025, -8437, -11191?
5*a**3 - 261*a**2 + 4*a - 145
What is the v'th term of 115273, 115265, 115257?
-8*v + 115281
What is the r'th term of 81372332, 81372344, 81372374, 81372428, 81372512, 81372632, 81372794?
r**3 + 3*r**2 - 4*r + 81372332
What is the p'th term of 165, 639, 1445, 2607, 4149, 6095?
4*p**3 + 142*p**2 + 20*p - 1
What is the k'th term of 354027, 708059, 1062091, 1416123, 1770155?
354032*k - 5
What is the l'th term of 467, 3540, 11727, 27536, 53475?
418*l**3 + 49*l**2
What is the j'th term of 144, 118, -178, -888, -2156?
-24*j**3 + 9*j**2 + 115*j + 44
What is the h'th term of -9223, -18400, -27599, -36832, -46111, -55448, -64855, -74344?
-2*h**3 + h**2 - 9166*h - 56
What is the p'th term of 7513, 32315, 73669, 131575?
8276*p**2 - 26*p - 737
What is the b'th term of -23122955, -46245904, -69368847, -92491784, -115614715?
3*b**2 - 23122958*b
What is the i'th term of -1847, -1607, -1179, -545, 313, 1413?
3*i**3 + 76*i**2 - 9*i - 1917
What is the d'th term of -4307450, -8614916, -12922384, -17229854?
-d**2 - 4307463*d + 14
What is the d'th term of -681254, -1362526, -2043812, -2725118, -3406450?
-d**3 - d**2 - 681262*d + 10
What is the h'th term of -14984014, -29968054, -44952094, -59936134?
-14984040*h + 26
What is the h'th term of -540081, -1079383, -1618683, -2157981, -2697277, -3236571?
h**2 - 539305*h - 777
What is the b'th term of 4215125, 4215124, 4215123, 4215122, 4215121?
-b + 4215126
What is the y'th term of 71382, 71216, 70936, 70542, 70034?
-57*y**2 + 5*y + 71434
What is the h'th term of 9908, 19900, 29970, 40118, 50344, 60648?
39*h**2 + 9875*h - 6
What is the d'th term of -25731, -21703, -14989, -5589?
1343*d**2 - d - 27073
What is the t'th term of 939, 7591, 25555, 60483, 118027, 203839, 323571, 482875?
942*t**3 + 4*t**2 + 46*t - 53
What is the y'th term of -2541, -3699, -4857, -6015, -7173?
-1158*y - 1383
What is the s'th term of -15453, -30918, -46381, -61842, -77301?
s**2 - 15468*s + 14
What is the o'th term of 25050, 50091, 75132, 100173?
25041*o + 9
What is the g'th term of -7894729, -7894726, -7894723?
3*g - 7894732
What is the o'th term of -22937089, -22937074, -22937059, -22937044, -22937029, -22937014?
15*o - 22937104
What is the w'th term of -35791, -71217, -106275, -140965, -175287, -209241?
184*w**2 - 35978*w + 3
What is the v'th term of -1242004, -1242014, -1242032, -1242058, -1242092, -1242134, -1242184?
-4*v**2 + 2*v - 1242002
What is the g'th term of 117645, 235254, 352827, 470364, 587865?
-18*g**2 + 117663*g
What is the f'th term of 17908, 17927, 17938, 17935, 17912, 17863, 17782, 17663?
-f**3 + 2*f**2 + 20*f + 17887
What is the c'th term of -3136, -3188, -3248, -3316?
-4*c**2 - 40*c - 3092
What is the i'th term of 1522368, 1522374, 1522380, 1522386?
6*i + 1522362
What is the f'th term of 94935, 379728, 854375, 1518870, 2373207, 3417380?
-f**3 + 94933*f**2 + f + 2
What is the j'th term of -11021, -21362, -31685, -41984, -52253, -62486, -72677, -82820?
j**3 + 3*j**2 - 10357*j - 668
What is the v'th term of 54791, 109483, 164165, 218843, 273523, 328211, 382913?
v**3 - 11*v**2 + 54718*v + 83
What is the t'th term of 554907, 554765, 554529, 554199, 553775?
-47*t**2 - t + 554955
What is the c'th term of -31183947, -31183946, -31183945, -31183944, -31183943, -31183942?
c - 31183948
What is the a'th term of 1536, 5855, 13082, 23241, 36356, 52451?
4*a**3 + 1430*a**2 + a + 101
What is the q'th term of 4050, 28967, 96606, 228327, 445490, 769455?
3560*q**3 + q**2 - 6*q + 495
What is the n'th term of 277, -213, -979, -2009, -3291, -4813, -6563, -8529?
2*n**3 - 150*n**2 - 54*n + 479
What is the f'th term of -9274096, -18548238, -27822380, -37096522?
-9274142*f + 46
What is the q'th term of -313698, -1255219, -2824566, -5021739, -7846738, -11299563, -15380214?
-313913*q**2 + 218*q - 3
What is the x'th term of -2180, -4386, -6610, -8858, -11136, -13450, -15806?
-x**3 - 3*x**2 - 2190*x + 14
What is the q'th term of -528, -1008, -1418, -1758, -2028, -2228, -2358?
35*q**2 - 585*q + 22
What is the n'th term of 69957, 69845, 69643, 69339, 68921, 68377, 67695, 66863?
-2*n**3 - 33*n**2 + n + 69991
What is the y'th term of 5448, 10896, 16350, 21822, 27324?
2*y**3 - 9*y**2 + 5461*y - 6
What is the i'th term of -235, -350, -341, -208, 49, 430, 935?
62*i**2 - 301*i + 4
What is the p'th term of -454316776, -908633567, -1362950370, -1817267191, -2271584036, -2725900911, -3180217822?
-p**3 - 454316784*p + 9
What is the h'th term of 221011, 220971, 220931, 220891?
-40*h + 221051
What is the x'th term of 9373, 76694, 259409, 615214, 1201805?
9616*x**3 + x**2 + 6*x - 250
What is the w'th term of 58289302, 116578595, 174867888, 233157181?
58289293*w + 9
What is the w'th term of 20247, 20565, 21433, 23127, 25923, 30097?
46*w**3 - w**2 - w + 20203
What is the z'th term of 41289, 40593, 39897, 39201, 38505, 37809?
-696*z + 41985
What is the o'th term of 1222236, 1222297, 1222464, 1222791, 1223332, 1224141?
9*o**3 - o**2 + o + 1222227
What is the k'th term of 1358782, 1358775, 1358766, 1358755, 1358742, 1358727, 1358710?
-k**2 - 4*k + 1358787
What is the s'th term of 5967, 23823, 53575, 95223, 148767, 214207, 291543?
5948*s**2 + 12*s + 7
What is the l'th term of -9783, -10341, -10899, -11457, -12015?
-558*l - 9225
What is the n'th term of -32394, -259185, -874754, -2073489, -4049778?
-32398*n**3 - n**2 - 2*n + 7
What is the x'th term of -22949, -23003, -23077, -23171, -23285, -23419, -23573?
-10*x**2 - 24*x - 22915
What is the t'th term of -3859, -15359, -34501, -61285?
-3821*t**2 - 37*t - 1
What is the b'th term of -25984, -24395, -22806, -21217, -19628?
1589*b - 27573
What is the y'th term of -2762, -9677, -21310, -37661?
-2359*y**2 + 162*y - 565
What is the i'th term of -352713701, -705427386, -1058141057, -1410854708, -1763568333?
i**3 + i**2 - 352713695*i - 8
What is the a'th term of 5530, 11019, 16464, 21871, 27246, 32595, 37924, 43239?
a**3 - 28*a**2 + 5566*a - 9
What is the i'th term of -5054, -5012, -4922, -4784, -4598?
24*i**2 - 30*i - 5048
What is the i'th term of -979537, -1959436, -2939323, -3919192, -4899037, -5878852?
i**3 - 979906*i + 368
What is the i'th term of -2927, -5881, -8889, -11951, -15067, -18237?
-27*i**2 - 2873*i - 27
What is the g'th term of -57088, -57175, -57244, -57283, -57280, -57223, -57100?
2*g**3 - 3*g**2 - 92*g - 56995
What is the s'th term of 50598, 101143, 151668, 202167, 252634, 303063, 353448, 403783?
-s**3 - 4*s**2 + 50564*s + 39
What is the l'th term of 24184, 47995, 71806, 95617, 119428?
23811*l + 373
What is the z'th term of 2673007, 5346006, 8019001, 10691992, 13364979, 16037962, 18710941?
-2*z**2 + 2673005*z + 4
What is the y'th term of 213269, 426509, 639749, 852989, 1066229, 1279469?
213240*y + 29
What is the b'th term of 1170378, 2340470, 3510558, 4680642, 5850722, 7020798?
-2*b**2 + 1170098*b + 282
What is the h'th term of 2637969, 5275921, 7913869, 10551813, 13189753?
-2*h**2 + 2637958*h + 13
What is the o'th term of -366028179, -732056362, -1098084545?
-366028183*o + 4
What is the h'th term of -93368, -186726, -280092, -373472, -466872, -560298, -653756?
-h**3 + 2*h**2 - 93357*h - 12
What is the z'th term of 6074419, 12148833, 18223247, 24297661, 30372075, 36446489?
6074414*z + 5
What is the l'th term of
|
{
"pile_set_name": "DM Mathematics"
}
|
). Put 0, 4, r in decreasing order.
4, 0, r
Suppose -4*n - 2*i + 7 - 3 = 0, 3*i = 3*n - 21. Suppose -38 = -22*c + 72. Sort n, 7, c, 0 in decreasing order.
7, c, n, 0
Suppose -220*c + 113*c = -113*c - 18. Let t be ((-6)/(-9))/(2/3). Sort t, 5, c.
c, t, 5
Let m(h) = h - 1. Suppose -2*c = 3*v + 8, 5*v + 25 = -3*c - 2*c. Let y be m(c). Let n = 1611 - 1614. Put n, y, 5 in increasing order.
y, n, 5
Let l = 0.44 + -0.04. Let j = -7.4 + 7. Let p = j + 0.2. Put p, l, -2 in descending order.
l, p, -2
Let q be (-3 + 0 + 8 + -4)*-3. Suppose 40*m - 17 = 303. Put q, m, -2 in decreasing order.
m, -2, q
Let f = -0.1 - -0.12. Let x = -243674 + 1218366/5. Sort f, 2/7, -0.5, x.
x, -0.5, f, 2/7
Suppose 4*t = -73*m + 71*m, -3*m - 1 = 5*t. Let l(q) = 8*q - 5. Let o be l(4). Let u(p) = -2*p + 1. Let c be u(3). Put m, c, o in ascending order.
c, m, o
Let d(p) = -7*p + 2. Suppose -8*l - 27 = 5. Let f be d(l). Let r be (12/15)/((-12)/f). Sort 4, -28, r.
-28, r, 4
Let r = -7 + 11. Let m(l) = -3*l**3 - 18*l**2 + 25*l + 30. Let w be m(-7). Sort -45, -4, r, w in descending order.
r, w, -4, -45
Let s = -28712 - -28711. Let v be 2/6 + 20/(-6). Put -4, v, -5, s in decreasing order.
s, v, -4, -5
Let v = 5630 + -5628. Suppose -3*i + 0*u + 3 = 3*u, -15 = -5*u. Put i, v, -3 in increasing order.
-3, i, v
Let a(i) = 5*i**2 - 17*i + 4. Let t be a(3). Let k be (-180)/(t - -5)*8/(-24). Sort 3, 2, k.
2, 3, k
Suppose -18*p + 261 = -981. Put p, 4, 0, -5, 3 in decreasing order.
p, 4, 3, 0, -5
Let d be (9786/15)/7 + (238/85 - 2). Sort -5, 1, 27, d in decreasing order.
d, 27, 1, -5
Let a = -30472 - -30472. Sort -748, a, -3/2.
-748, -3/2, a
Let w = -10.8 + 1.8. Let x = -114 + w. Let q = x - -122.6. Put 0.1, q, 12 in ascending order.
q, 0.1, 12
Let c(q) = -q**2 - 11*q + 30. Let o be c(4). Let p = o - 4. Let z = -31 - p. Sort -2, 22, z.
-2, z, 22
Suppose 65 = 24*u - 79. Suppose -3*x = -3*i + u, 20*x - 23*x - 9 = 0. Put 1, -2, -4, i in increasing order.
-4, -2, i, 1
Suppose -12757*f + 12775*f = 18. Sort 0.005, -0.5, -0.3, f in decreasing order.
f, 0.005, -0.3, -0.5
Let u = 285 + -289. Let a be 88/18 - u/36. Sort a, -1, 0 in descending order.
a, 0, -1
Suppose 0 = -5*j + 5*p, 25 - 28 = 3*j - 4*p. Sort -114, 1, 0, j in increasing order.
-114, 0, 1, j
Let w be 6 + -12 - -11 - (1 - -659). Let o = -651 - w. Put 3, -7, o in descending order.
o, 3, -7
Let o(c) = -268*c - 6705. Let y be o(-25). Suppose 5*f - 18 = 7. Sort y, f, 4, 23 in descending order.
23, f, 4, y
Suppose 4*f + 9 - 17 = 0. Let g = f - 5. Let z be (-18)/15 - (g + 2). Put 0.2, 1/6, -0.3, z in descending order.
0.2, 1/6, z, -0.3
Let o = 2 + 1. Suppose 0 = -5*n - 2*u + 89, 4*n + 5*u - 58 = 10*u. Let g be (1 - 19/n) + (-166)/34. Put o, g, -3 in decreasing order.
o, -3, g
Let w = 23 - -30. Suppose 2*p - w = -47. Suppose -24 = p*v + v. Sort v, -3, 4 in descending order.
4, -3, v
Let h = -0.083 - 0.318. Let z = -3.599 + h. Let g be 2*2/(-6) - -1. Put z, g, 0.08 in increasing order.
z, 0.08, g
Let p = 0.0341 + -0.0961. Put -0.1, 2, 0.5, p in descending order.
2, 0.5, p, -0.1
Let m = -2887 - -2891. Put 5, 1, -164, m in increasing order.
-164, 1, m, 5
Let a(d) = 2*d**2 - 32*d + 2. Let p be a(16). Suppose x - 3 = -5*o, -2 = 2*o + p. Let n = 28 + x. Sort -2, 4, n, -4 in descending order.
n, 4, -2, -4
Let w be ((-5)/(-4))/((-12)/(-48)). Let l = 673 - 669. Suppose 5*t + 11 = 1. Put t, l, w in decreasing order.
w, l, t
Suppose -33*d + 3*d = 8*d - 76. Sort -1, d, 5, -605, -4 in ascending order.
-605, -4, -1, d, 5
Let u = -984 - -981. Put -8, u, -5 in descending order.
u, -5, -8
Let f = -902.5 - -904.5. Sort 180/187, -5/3, f in increasing order.
-5/3, 180/187, f
Let f be -11 + (-8 - -10) - -9. Suppose 4*c = -8 + 28. Suppose 6 = c*i - 4*q - 3, -i + 3*q - 7 = 0. Put f, 2, i, 3 in descending order.
i, 3, 2, f
Let s be 16/3 + ((-32)/(-3) - 12). Let v(p) = -2*p - 29. Suppose 7 = 4*k - 5*k. Let n be v(k). Sort n, -1, s.
n, -1, s
Let f = -1 - -2. Let w(d) = d**3 - 5*d**2 - 2*d - 25. Let z be w(6). Suppose 2*v + 5*r - 19 = 0, -10*v - 2*r + 10 = -8*v. Sort z, f, -2, v in decreasing order.
v, f, z, -2
Suppose -2*k + 15 = 29. Let m = 0.5 + -0.52. Let n = m + -0.28. Sort n, k, -2/3 in decreasing order.
n, -2/3, k
Let d(b) = b**3 - 11*b**2 + 39*b - 128. Let f be d(8). Put -13, 2, 3, 4, f in descending order.
4, 3, 2, f, -13
Let p = -8 + 6. Let o = -67258 + 67258.47. Put o, 4, p in ascending order.
p, o, 4
Let u be -1 + 6 + (-4)/((-40)/(-50)). Let c be ((u - (-1)/(-2))*2)/(-23). Sort 0.5, -0.06, 0.2, c.
-0.06, c, 0.2, 0.5
Suppose 0 = -3126*w + 3143*w. Put w, 35, -3/8 in decreasing order.
35, w, -3/8
Let g be 4/16*28*(2 - 70/49). Put g, -654, -5, 5, 3 in decreasing order.
5, g, 3, -5, -654
Let p(b) = -b**3 + 15*b**2 - 13*b - 11. Let x be p(14). Suppose -o + 2 = 3*c, o + 3 = -c - x*o. Sort 2, c, 3 in ascending order.
c, 2, 3
Suppose 0 = -42*f + 450 - 72. Sort 5/7, f, 1.9 in descending order.
f, 1.9, 5/7
Let b(h) = 4*h**2 + 2 - 12*h**2 + 2*h**3 + 4*h**2 + 6*h**2 + 3*h. Let v be b(-1). Sort v, -2, -15.
-15, -2, v
Suppose 8828 = 80*q + 8508. Sort 2, -6, -4, q, 5 in increasing order.
-6, -4, 2, q, 5
Let h = -288 + 294. Let f be 741/(-26)*((-4)/h)/1. Sort f, 1, -2, -3 in increasing order.
-3, -2, 1, f
Let t be -4 - (13/(-9 - 4))/(0 - -1). Sort 17, 3, t, 5 in decreasing order.
17, 5, 3, t
Let s(r) = -r**2 + 4*r - 2. Let d be s(3). Let f(m) = 3*m**3 - 319*m**2 + 134*m - 2877. Let p be f(106). Sort p, 4, d in increasing order.
d, 4, p
Let f = 11366 - 11369. Sort -73, f, 2 in ascending order.
-73, f, 2
Suppose 11*g - 32 = 3*g. Let f be (0 + (-14)/g)*56/98. Let u(i) = i**3 - i + 1. Let m be u(f). Sort m, 1, 2, -18 in descending order.
2, 1, m, -18
Suppose 7*i = -499 - 285. Let b be 4/(-3)*42/i. Put b, 0.15, 0.3, -3 in ascending order.
-3, 0.15, 0.3, b
Let c = 53 + -24. Suppose -3*r + 2*r = 5*f + 20, 3*r + 5*f + 80 = 0. Let h = c + r. Put -3, 2, h in ascending order.
-3, h, 2
Let i = 66/37 - 161/111. Put 10, i, -2/13 in descending order.
10, i, -2/13
Let k = 1041 - 1032. Put k, -2, 4, 8 in decreasing order.
k, 8, 4, -2
Let w be (-63)/(-12) - 2/8. Let h = 237 + -244. Let p = -173 - -169. Put h, w, 1, p in descending order.
w, 1, p, h
Let h(f) = f + 4. Let v(z) = -7*z**3 - z**2 + 4*z - 2. Let y be v(1). Let a be h(y). Put 1, -5, a in descending order.
1, a, -5
Let l(k) = k**3 + 7*k**2 + 3*k - 31. Let x be l(-5). Put 20, 0, x, -66 in ascending order.
-66, 0, x, 20
Let d = 28 - 25. Suppose 51*m = 59*m. Sort -4, m, d in increasing order.
-4, m, d
Let q be (2 - (-9)/(-6))/((-6)/(-24)). Suppose 4 = v, q*v = 3*g - 3*v + 26. Let i = 460/11 + -42. Sort g, -4, 2/11, i in ascending order.
-4, g, i, 2/11
Suppose 130 = -7*i - 3*i. Let c = -426 + 424. Put -1, i, c in ascending order.
i, c, -1
Let k = 2.3 - 2. Let x = k + -0.1. Let r = -1192.58 - -1191.58. Sort x, -5, r, 5.
-5, r, x, 5
Suppose 2*u + 29 = 5*u + 5*l, 3*l = 12. Suppose -69 = -u*z - 3*h, -z + 5*h + 93 = 2*z. Let p = z - 23. Sort 4, 6, -2, p.
-2, p, 4, 6
Let n = 70 + -74. Let u be n*(-3 - -2) - (-10 - -13). Put 2, -4, u, 5 in decreasing order.
5, 2, u, -4
Let o = 657 - 651. Suppose 9*q - 7 = 8*q. Put o, q, 3 in descending order.
q, o, 3
Suppose 21*l + 67 - 4 = 0. Let a be 1 - (-30)/l - -4 - 0. Suppose 23 = -5*u - 4*p + 74, -3*p = -2*u + 2. Sort u, -1, a in ascending order.
a, -1, u
Let k = -15.7 + 15.888. Let a = k - -0.012. Let m(x) = -x**3 - 6*x**2 - 4*x + 1. Let t be m(-5). Sort -0.1, t, a in descending order.
a, -0.1, t
Suppose 0 = -16*z - 7*z. Let q be -2*(z + -10)/(-40 - -36). Put -3, 30, 1, q in descending order.
30, 1, -3, q
Let u = 241 + -181. Let y = -30 - 26. Let c = y + u. Sort c, 2, -3.
-3, 2, c
Let k = 44.7 - 124.1. Let z = k + 79. Sort -0.1, z, -56 in decreasing order.
-0.1, z, -56
Suppose 0*v - 60 = -3*v. Suppose -2*g - 3*g + v = 0. Let j = -9 + 6. Sort g, 0, j, -1.
j, -1, 0, g
Let y(c) = 2*c**2 - 28*c - 800. Let q be y(28). Sort -13, -4, q, 5 in increasing order.
q, -13, -4, 5
Suppose -4*y = 2*k - 16, k - y + 7 - 3 = 0. Let l = 1690.3 + -1690. Put l, 5, -2/13, k in increasing order.
-2/13, k, l, 5
Suppose 26 = -7*x + 2*x + n, -n = 5*x + 24. Suppose 16*t - 2 = -5 + 67. Put x, t, 3, 0 in decreasing order.
t, 3, 0, x
Let x be 8/(0 - -4) + -4. Let r(l) = -l**2 - 3*l - 5. Let o be r(x). Let g(u) = 2*u**3 - 2*u**2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
p)*(3 + 0 - 4) + 2*p - p + 0*p to the form r*p + b and give r.
-11
Rearrange 23 - 6 + 34*m**2 + 6 - 7 to the form z*m + b + f*m**2 and give f.
34
Express 1 - 5 + 1 + 2*m**3 + 2*m**2 - 109*m + 102*m as w*m**3 + y*m + n + t*m**2 and give t.
2
Express (-5 + 2 + 1 + 5 + 1 + 5 + (-1 - 2 + 4)*(1 + 2 - 4))*(-6*v + 5*v + 8*v) as a + z*v and give z.
56
Express ((-33 + t + 33)*(0 - 4 + 1) + 1 - 3*t - 1 - 3*t + 3*t + t)*(t - 3*t - t) in the form h*t**2 + p + l*t and give p.
0
Express -249*r - 222*r + r**2 + 930*r - 196*r - 3*r**4 + 2*r**3 - 198*r as n*r + c*r**4 + w*r**3 + a + y*r**2 and give y.
1
Express (4*v - 3*v**4 - 4*v)*(-2 + 6 + 2 + (6 + 4 - 4)*(0 - 1 - 1)) in the form f*v**2 + c*v + d + z*v**4 + q*v**3 and give z.
18
Rearrange -3*u + 2*u + 0*u + (-4*u + 0*u + 5*u)*(-2 - 2 + 6) + (-1 + 2 + 0)*(10 - 10 + 9*u) + (5*u - 9*u + 3*u)*(1 + 3 - 3) to the form n + a*u and give a.
9
Express g**4 + 1010*g + 2 - 35*g**2 - 1008*g - 1 in the form l*g**4 + h*g**3 + p + m*g**2 + u*g and give l.
1
Express 14 + 153088*f + 2*f**3 + 6*f**4 + f**2 - 153088*f as j*f**2 + o + c*f**4 + b*f**3 + l*f and give j.
1
Express 2*t**3 - 4*t**2 - 5 + 5*t**2 + 2*t**2 + 6 + 5*t as h*t**3 + l*t**2 + v + p*t and give h.
2
Rearrange 1107*a + 1016*a - 6 - 1987*a to the form f + z*a and give z.
136
Rearrange ((-2*z**3 + z**3 + 2*z**3)*(32 + 73 + 8) - 3*z**3 - z + z)*(-4 - 1 + 4)*(-3 + 3 + 1) to h + q*z + v*z**2 + c*z**3 and give c.
-110
Rearrange (-5 + 9*f**3 + 5)*(-23 + 49 - 23) to h + p*f**2 + l*f**3 + b*f and give l.
27
Rearrange 2*n + 0 + 0 + (-65 + 75 + 325)*(-n - 3 + 3 + (-n - 2*n + 4*n)*(-5 + 0 + 3) + 0*n - 6*n + 4*n) to x*n + t and give t.
0
Rearrange -46 + 4 - 7 + l - 17 + l to o + n*l and give o.
-66
Express 266*j**2 + 6 + 18*j - 7*j**3 - 268*j**2 - 6 as l*j + g*j**3 + o*j**2 + q and give g.
-7
Rearrange -11*c**2 + 401*c - 279*c**2 - 401*c to the form a*c**2 + k + m*c and give a.
-290
Express (0*y + 3*y - y)*(0*y + y - 3*y) + 54*y - 11*y - 99*y - 3*y**2 as b*y**2 + m*y + u and give m.
-56
Rearrange 9*d**3 + d**2 - 7*d**3 - 3*d + 6*d**4 + d - 3*d**2 to y*d**3 + q + j*d**4 + b*d + a*d**2 and give a.
-2
Rearrange 10*y**2 + 145*y**2 + 113*y**2 to the form q*y**2 + d + s*y and give q.
268
Rearrange (-1 + 4 - 4)*(-57*m - 2*m**2 + 16*m - 2*m**3 + 0*m**3) to the form y*m**2 + c*m + u*m**3 + w and give c.
41
Rearrange -4*y**3 - y**4 + 11*y**3 - 9*y**3 - 221*y to n*y**3 + w*y**2 + u*y + d*y**4 + p and give d.
-1
Express 39 - 11 - 11 - 17 + 342*w**2 as h + m*w**2 + a*w and give m.
342
Rearrange -58 + 125 - 67 + 286*s**2 - 3*s to n*s**2 + p + r*s and give r.
-3
Express -55*n**3 + 18*n**2 - 10*n**3 - 45*n**3 - 20*n**2 as m*n**3 + g + z*n**2 + v*n and give z.
-2
Express 0 - 5 + 1 - 112*a - 2 + 4 as u + r*a and give r.
-112
Express (-2*n + n + 2*n)*((0*n - n - n)*(3 - 1 - 4) + 4*n - 4*n - 2*n - 2 + n + 2 + (1 + 3 - 3)*(8*n + 14 + 4*n - 16)) in the form y*n + w + o*n**2 and give w.
0
Rearrange 3*j**2 + 867*j**3 - 2*j**2 + 3*j - 871*j**3 + (-1 + 0 + 0)*(-2*j**3 - 2*j + 2*j) + 2*j**3 - 5*j**3 + 6*j**3 to b + w*j**3 + m*j + y*j**2 and give m.
3
Rearrange (10*r - 8*r + 20*r + (-3 + 3 - 1)*(r + 3*r - 2*r))*(-3 + 0 + 0) to a*r + x and give x.
0
Rearrange (-3*p + 7*p - 2*p)*(15*p - 45*p - 15*p)*(3 - 4 + 0)*(3 - 2 - 2) + 5*p - p**2 - 5*p to x + l*p**2 + t*p and give l.
-91
Express -6*m**3 + 146 - 148 - 2*m**2 + 6*m**3 + m - 4*m**4 in the form v*m**4 + j + a*m + n*m**3 + t*m**2 and give a.
1
Rearrange -1 + 2459*a - 2461*a + 24*a**3 - 66*a**3 - 51*a**3 to z + k*a**3 + s*a**2 + y*a and give y.
-2
Rearrange (-k - 4*k + 4*k)*(0 + 0 + 2*k**2) + 2*k**3 + 2*k**3 + 0*k**3 - 111*k**3 - 4438*k + 4438*k to the form o + h*k**2 + j*k + f*k**3 and give f.
-109
Express (-3 - 2 + 4)*(72*a + 6 + 73*a - 138*a) in the form y + n*a and give n.
-7
Express -q**3 + 70 + 424*q - 424*q + (-4*q + q + q)*(2*q**2 + 2*q**2 + 5*q**2) in the form c*q**3 + y*q + l + j*q**2 and give c.
-19
Rearrange 483 - 264 - 440 + 6*a - 2*a to f*a + t and give f.
4
Express -21 - 370*l**2 + 3 + 16 + l**3 as o*l**2 + h + n*l + v*l**3 and give h.
-2
Express ((-2*d + 5*d - 2*d)*(2 + 3 - 7) + 3*d - 6*d + 2*d)*(71*d - 619*d - 859*d) as i*d + r*d**2 + f and give r.
4221
Express (55 - 167 - 35)*(-4 + 4 - 12*q) in the form d + j*q and give j.
1764
Rearrange (3*s + s - 5*s)*(547 - 2586*s - 547) to n*s**2 + a + z*s and give n.
2586
Rearrange -1 + 66*n**3 - 2 - 218*n**3 + 48*n**3 - 222*n**3 to y*n**3 + r + x*n**2 + g*n and give y.
-326
Express -254 - 256 + 771 - 103*m - 262 in the form u*m + v and give v.
-1
Rearrange -88*n**3 - n - 2*n**2 + 90*n**3 - 17*n**2 - n to a*n + d*n**2 + s + b*n**3 and give a.
-2
Express -2*r + 4*r - 3*r + 2*r - 2*r - 2*r + (-3*r - 3*r + 4*r)*(0 + 1 - 3) + 4*r + 3*r - 6*r + 2 - 2 - r + 7692 - 7635 + r + r in the form i*r + w and give w.
57
Express 10*m**3 - 24*m**3 - 3*m**2 - m - 2165 + 2164 as l*m + j*m**2 + f + c*m**3 and give j.
-3
Express 89*j**3 + 102*j**3 - 234*j**3 - 1 as f*j + r*j**3 + b + o*j**2 and give r.
-43
Express 3*j**3 + 2*j**3 + 2*j**3 - 6*j**3 + j - 59 + j as x*j**2 + q*j**3 + b*j + i and give i.
-59
Rearrange 9*p**3 - 55898 + p**2 - 2*p + 55898 to the form s*p + i*p**2 + n + t*p**3 and give i.
1
Express -x**3 - x**3 + 3*x**3 - 3*x + 3*x + 2*x**3 - x**3 - 4*x**3 - 4*x**3 + (x + 3*x - 3*x)*(4*x**2 + 4 - 4) in the form z + f*x + g*x**2 + y*x**3 and give y.
-2
Express 50 - 10 - 3 - 11 + 6*s in the form d + l*s and give l.
6
Express 16 + 2*a**4 - 2*a + a**2 - a**3 + 7 - 2*a**3 - 27 + 7 as l + k*a**4 + j*a**3 + h*a + u*a**2 and give u.
1
Rearrange (16 - 6 - 19*p**2 - 9)*(-1 + 1 + 3*p)*(-3*p + 5*p + 2*p) to g*p**2 + u + o*p**3 + s*p**4 + r*p and give r.
0
Rearrange 0 - 1 + 3*a - 3 to b + g*a and give g.
3
Express 23*b**4 + 6*b**2 + b**4 + 3*b - 10*b**4 - 6*b**2 + 2*b**3 in the form h*b + w*b**2 + k*b**4 + i + n*b**3 and give k.
14
Rearrange 162 - 155 + 2*u - 4*u**4 + 0*u + 2*u**2 to b*u + k*u**2 + a + c*u**4 + r*u**3 and give a.
7
Rearrange 88*g - 296*g - 295*g to p*g + q and give p.
-503
Rearrange -2359 + 18*c + 3*c**2 - c**2 + 2339 to j*c**2 + q*c + z and give q.
18
Express 1160*m + 212*m + 92*m in the form l*m + z and give l.
1464
Rearrange (31 + 6*l - 31)*(-49 - 101 - 345)*(1 - 4 + 2)*(1 + 5 - 4) to the form o*l + a and give o.
5940
Express 235*m**2 - 780*m**2 + 195*m**2 - 1098*m**2 in the form n + w*m + o*m**2 and give o.
-1448
Express -4 + 0 - 12 + 12*z**2 + 2*z**2 + 2 in the form o*z + p*z**2 + m and give m.
-14
Rearrange 36*d**2 - d - 2*d + 0*d - 3*d**3 + 69*d**2 + d to the form g*d**3 + x*d + i + c*d**2 and give g.
-3
Express 5*i + 6*i + 10*i + (-5*i + 4*i + 0*i)*(1 + 3 + 3) as t + h*i and give h.
14
Rearrange (-220 - 167 + 466)*(11*a - 5*a - 5*a)*(-4*a + 2*a + a) to m*a + u*a**2 + l and give u.
-79
Express -44 - 19 + 4 + 7*t**3 + 89 in the form w*t**3 + a*t**2 + g*t + y and give y.
30
Rearrange -212 - 3*y**3 - 3*y + y**2 + 4*y + 210 - 79*y**4 - y**2 to the form g*y**4 + x*y**2 + n*y**3 + k*y + r and give k.
1
Rearrange 51*a - 35*a + 84*a**2 - 18*a + 241*a**2 to the form p*a**2 + i + z*a and give z.
-2
Express (143 - 63 + 4*s - 60)*(10*s - 9*s + 7*s) in the form g*s**2 + j*s + m and give g.
32
Rearrange 5 + 6*x - 28 + 6 - 24 to the form w*x + c and give c.
-41
Rearrange 2*k - k**3 - 4*k + 2*k - 837 - 958 to the form f*k + g + a*k**3 + s*k**2 and give g.
-1795
Express -11*c**3 + 2*c**4 - 26*c + 28*c - 7*c**2 + 8*c**2 - 4*c**3 in the form r*c**3 + w + j*c**4 + g*c**2 + a*c and give a.
2
Rearrange a**3 - 18341*a + 5*a**4 + 18341*a + 7 to r*a + y*a**2 + h*a**3 + m + j*a**4 and give m.
7
Rearrange 4*m**3 + 443 - 444 + 16*m**2 + 6*m**2 - m to the form r + v*m**3 + l*m + w*m**2 and give r.
-1
Rearrange (-4 + j**3 + 4)*(-10008 + 3558 + 4586) to the form s*j**2 + u + n*j**3 + g*j and give g.
0
Express (w**2 + w**2 + w**2)*(-11 - 19 - 18) in the form s*w**2 + a*w + b and give s.
-144
Rearrange 2*n**2 + 2 - 2 + (-4 + 3 - 1)*(4*n**2 - 2*n**2 + 0*n**2) - 9 - 10 + 7*n**2 + 20 + 2*n - n**2 - 2*n to r + u*n**2 + w*n and give r.
1
Rearrange (-2*q + 17*q + 24*q)*(-4 + 10 + 2) to i*q + m and give i.
312
Express (2 - 3 + 3)*(-13 - 2 + 2)*(3*d + 9 + 8 - 17) as f*d + u and give f.
-78
Rearrange (2*p**2 - 3*p**2 - p**2)*(2*p**2 - p**2 + p**2 + (-16*p - 105 + 105)*(-17*p - 20 + 20)) to k*p + t + o*p**3 + q*p**4 + u*p**2 and give
|
{
"pile_set_name": "DM Mathematics"
}
|
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