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e units digit of l?
4
Let n be 2 - 0 - (-13 + 11). Suppose -w - 225 = -n*w. What is the units digit of w?
5
Let s = -1 - -4. Suppose -s*v + 19 = 5*u - 4*v, -5*v - 17 = u. What is the units digit of u/((-9)/(-102) + 0)?
4
Suppose 9*v - 11*v = -12. Let b(o) = v*o**2 + 6 - 10 + o**3 - 3. What is the tens digit of b(-3)?
2
Let o be (-16)/(-1 - 3) + -4. Let n(g) be the third derivative of g**5/60 + g**4/12 + 26*g**3/3 + 4*g**2. What is the tens digit of n(o)?
5
What is the tens digit of (33/((-2970)/(-504)))/(1/420)?
5
Let a(i) = -i + 3. Let x be a(2). Let h be 3*14/6*x. What is the tens digit of h + -4 + 0 + 24?
2
What is the hundreds digit of -2 - (6 - 9) - (-553 - -1)?
5
Suppose 0 = -13*f + 10*f - 1566. Let q = -312 - f. What is the units digit of q?
0
Let i(c) = c**2 + 9*c - 10. Let z be i(-9). What is the tens digit of (4/20*-196)/(4/z)?
9
Suppose -633 = 4*u + i + 968, -1996 = 5*u - 4*i. Let m = u - -623. What is the hundreds digit of m?
2
Suppose 4*c - 13 = 7. Let p = c - -8. Suppose -p*x + 14*x = 34. What is the tens digit of x?
3
Let i(q) = 2*q**3 + 32*q**2 + 2*q - 29. What is the tens digit of i(-14)?
2
Suppose -6*g + 5 = -g. Suppose -g = 3*z - 4*z - 4*l, -6 = z - 3*l. What is the units digit of 4/(-6)*z*11?
2
Suppose 18138 = 15*a - 4887. What is the tens digit of a?
3
Let p = -269 - -477. Let n = p + -153. What is the tens digit of n?
5
Let t be 6/(-27) - 8/(-36). Let o be 3 - 2 - (-4 - t). Suppose o*s - 8 = -h - h, -4*s - 44 = -4*h. What is the units digit of h?
9
Suppose 10292 - 416 = 12*u. What is the units digit of u?
3
Suppose 4*p - 7 = 5*l - 43, -3*l + 22 = -2*p. Suppose 549 = l*k - 179. What is the tens digit of k?
9
Let r(p) = 5*p - 22. Let i(b) = -17*b + 31*b + 43 - 25*b. Let z(s) = -4*i(s) - 9*r(s). What is the tens digit of z(-8)?
3
Let r(h) = 4*h**3 + 4*h**2 + 2*h - 7. Let d be r(3). Suppose 0 = -3*j - 17 + d. What is the tens digit of j + -3 - (-3 + 4)?
3
Let h = -11 - -9. Let r(m) = 2*m**2 + 2*m. Let f be r(h). Suppose 111 = 3*k - 4*z, 5*k - 207 = f*z - 22. What is the units digit of k?
7
Suppose 3*b - 2*m + 43 = 3*m, 5*b = m - 35. What is the tens digit of ((-31)/(-3))/(b/(-36))?
6
Suppose 3*t - 5*t - 38 = 0. Let j(n) = -n**3 - 18*n**2 + 8*n + 46. What is the tens digit of j(t)?
5
Suppose 192*v - 188*v = 136. What is the units digit of v?
4
Let g(q) = -14*q**2 - 5*q - 3. Let m(w) = 7*w**2 + 2*w + 2. Let r(l) = 2*g(l) + 5*m(l). What is the tens digit of r(2)?
3
Let n be 6*(-8)/(-12) - 2. Suppose -3*u + 3 = -2*q, -u + 15 = n*u. What is the units digit of -1*-1*q + 4?
0
Let t = 385 + 20. What is the tens digit of t?
0
What is the hundreds digit of (-3)/1 + 1 + (3 - -470)?
4
What is the units digit of ((-6)/(-12))/(8/73088)?
8
Let h = -59 - -54. Let r = h + 53. What is the tens digit of r?
4
Let x(i) = -i**2 + 6*i + 6. Suppose z + 4 + 5 = 0. Let j be (-56)/z + 2/(-9). What is the units digit of x(j)?
6
Let a(y) = -15*y**3 - y**2 + 1. Let d be a(-1). What is the tens digit of ((-6)/(-4))/(d/710)?
7
Let a(w) = 11*w - 10. Let m(h) = 45*h + 6*h**2 + 2*h**2 - 48*h + 1. Let u be m(1). What is the tens digit of a(u)?
5
Let v = -907 - -2594. What is the units digit of v?
7
Let h(t) = t**3 - t**2 + 349. What is the units digit of h(0)?
9
Let f(q) = 3*q**2. Let k be f(-1). Suppose 3*r = -k*l - 0*r + 144, 152 = 3*l + r. What is the tens digit of l?
5
Suppose -4 = 4*m - 0, 0 = 2*z - 3*m - 15. Suppose 250 = z*k - k. What is the tens digit of k?
5
Let r(z) = -2*z**3 + z**2 + 9*z - 4. What is the tens digit of r(-7)?
6
Let k(r) = r**3 + 16*r**2 + 29. What is the hundreds digit of k(-14)?
4
Suppose 0 = -5*f + 5*q + 8150 - 950, 3*f - q = 4326. What is the units digit of f?
3
Let a(q) = q**3 - 3*q**2 + 14*q - 27. Let x be a(10). Suppose 0 = -18*y + 15*y + x. What is the units digit of y?
1
Let g(j) = j**3 - j**2 + 329. Suppose -3*x + x = -4*v + 8, -5*v - 4 = x. Let s be g(v). Suppose -3*q + s = 4*q. What is the tens digit of q?
4
Suppose -3*q + 931 + 1685 = 0. What is the tens digit of q?
7
Suppose -4*l - 81 + 401 = 0. Let u = 121 - l. What is the tens digit of u?
4
Let a be (7/14)/(1/(-18772)). Let g be (0 - -3)/((-39)/a). Suppose -7*h - 253 = -g. What is the tens digit of h?
6
Suppose 0*r - 10 = 2*r. Let p(b) = 6*b**2 + 3*b + 12. What is the tens digit of p(r)?
4
Let l(r) = r**3 - 15*r**2 - 18*r + 24. Let z be l(16). Let q(y) = -13*y + 25. What is the tens digit of q(z)?
2
Let s(f) = -17*f**3 + f - 2. Let r be s(-2). Suppose -r = -4*n + o, n = -n + o + 68. What is the tens digit of n?
3
Suppose 9304 = -48*d + 59608. What is the tens digit of d?
4
Suppose -f + 3*s = -13, -2*f - s + 6*s + 24 = 0. Suppose 18*r - f*r = 1276. What is the units digit of r?
6
Let n(x) = x + 7. Let k be n(-5). Suppose -3 = b + k*b. What is the units digit of ((-15)/10)/(b/18)?
7
Let o(u) = 42*u**2 - 6*u + 5. Let h be o(2). Suppose -4*i + h = -259. What is the hundreds digit of i?
1
Let o = 2141 - 787. What is the tens digit of o?
5
Let a = 566 - 226. Suppose -4*s = 2*v - 170, -4*v - s - s = -a. What is the tens digit of v?
8
Suppose 38*t - 8*t = 75600. What is the units digit of t?
0
Suppose 0 = -y - 5*h + 14, -4*y + 58 = h + 21. What is the units digit of (58/6)/(y/27)*2?
8
Let x(d) = 5*d**3 + 63*d**2 + 31*d + 22. What is the units digit of x(-12)?
2
What is the tens digit of -3 + 0/6 + 1760?
5
What is the hundreds digit of (-42)/(-28) + (-6821)/(-2)?
4
What is the units digit of (-2)/6*(-485 - 13) + -5?
1
Suppose -2*n - 3*l + 9744 = 0, 12 = 19*l - 22*l. What is the hundreds digit of n?
8
Let x(d) = d**3 - 3*d**2 + 5*d - 13. Let o be x(3). What is the units digit of -3 + o - (-48 + -1)?
8
Suppose 6*p + 1688 = 10*p. What is the hundreds digit of p?
4
What is the hundreds digit of ((-32)/1 - 0)*(-140)/35?
1
Suppose 5*g = 3222 + 2328. What is the hundreds digit of g?
1
Suppose 0 = -2*f + 9 - 5. Suppose 10 = -j - j + 4*p, f*p + 4 = 4*j. Suppose 5*l - 93 = k + j*k, 0 = -l + k + 19. What is the tens digit of l?
1
What is the hundreds digit of 112*3 - (1 - (3 + -2))?
3
Let o(v) = -2*v**3 - 6*v**2 + 16*v + 45. Let a = 66 - 73. What is the tens digit of o(a)?
2
Let s(i) be the third derivative of -i**5/60 + 5*i**4/12 - 3*i**3/2 - 5*i**2. Let b be s(6). What is the units digit of (-1 - -3)*b/3?
0
Let y = -8 + 5. Let x be (-1)/(y + 32/10). Let g(q) = 2*q**2 + 5*q - 6. What is the units digit of g(x)?
9
Let i(b) = b**2 - b - 2. Let a be i(3). Let j(v) = -6*v + 4. Let r(q) = -11*q + 8. Let d(s) = a*r(s) - 7*j(s). What is the units digit of d(-6)?
6
What is the hundreds digit of ((98/(-4))/(-1))/(13/234)?
4
Suppose 2*f - 2 = f. Suppose c + 22 = f. Let u = 42 + c. What is the tens digit of u?
2
Suppose -5*q = g - 1891 - 1552, 4*q + 2*g - 2752 = 0. What is the hundreds digit of q?
6
Suppose 8*u = 5*u. Suppose u = 9*s + 6*s - 1020. What is the units digit of s?
8
Let x be 3/(-1) + 2 - -5. Suppose -243 = k - x*k. What is the units digit of k?
1
Let q be (-38)/171 - (-832)/18. Let d = q + -12. What is the units digit of d?
4
Suppose 3 = 5*g - 5*o - 12, -3*g - 3*o + 3 = 0. Let v be (0 - g)*10/(-4). Suppose -v*i + 5 = -20. What is the units digit of i?
5
Let g be (-30)/(-40) - 255/(-12). Suppose w - g - 47 = 0. What is the tens digit of w?
6
Let l = -217 + 559. Let n be (-5)/(-1)*l/(-30). What is the units digit of -3*n/(-9)*-1?
9
Let z(a) = 24*a**2 + a - 4. Let o be z(2). Let w = o + -22. What is the units digit of w?
2
Let u = -13 - -35. What is the units digit of u?
2
Suppose 15 = 3*w - 4*w. Let c = -12 - w. Suppose c*y + 23 = u, -y + 2 = -2*y. What is the tens digit of u?
1
Let k(r) = -r**2 - 10*r - 4. Let y be -2 + (6*-1 - -1). What is the units digit of k(y)?
7
Suppose 0 = 11*f - 7663 + 1657. What is the hundreds digit of f?
5
Suppose -10*q + 6 = -11*q. Let u be (1464/(-8))/(q/4). Let p = u - 73. What is the units digit of p?
9
Suppose -108*t = -106847 - 45325. What is the hundreds digit of t?
4
Suppose 0 = -2*w + 5*h - 2*h + 119, -87 = -w - 4*h. Suppose -3*f + w = -2*f. What is the tens digit of f?
6
Suppose 0 = -31*m + 5176 + 26258. What is the tens digit of m?
1
Let n(f) = 5*f**2 - 7*f + 9. Let l be n(4). Let p = 6 + l. What is the tens digit of p?
6
Suppose -7*s + 75 = -2*s. Let g(j) = j + 17. What is the units digit of g(s)?
2
Let b = 1978 + -653. What is the hundreds dig | {
"pile_set_name": "DM Mathematics"
} |
5, 1
Factor 3*x**5/5 - 12*x**4/5 + 9*x**3/5.
3*x**3*(x - 3)*(x - 1)/5
Factor 5*o**3 + 35*o**2 + 50*o.
5*o*(o + 2)*(o + 5)
Factor -r**4 - 8*r**3 - 9*r**2 + 18*r.
-r*(r - 1)*(r + 3)*(r + 6)
Let u**3 + 20*u**2 - 121*u + 100 = 0. What is u?
-25, 1, 4
Find q, given that -2*q**3 + 22*q**2 + 536*q - 1144 = 0.
-13, 2, 22
Solve -2*l**4 + 14*l**3 - 20*l**2 = 0.
0, 2, 5
Determine v, given that 2*v**2 - 706*v = 0.
0, 353
Suppose 39762*s**5/5 + 23406*s**4 - 6736*s**3/5 - 158952*s**2/5 + 9024*s/5 - 128/5 = 0. What is s?
-2, 4/141, 1
Let -2*a**2 + 466*a = 0. Calculate a.
0, 233
Suppose 11*k**3/7 - 831*k**2 + 4750*k/7 + 1056/7 = 0. Calculate k.
-2/11, 1, 528
Factor -4*t**2/3 - 56*t/3 - 52/3.
-4*(t + 1)*(t + 13)/3
Factor j**2/2 + 413*j + 170569/2.
(j + 413)**2/2
Factor -n**4 - 56*n**3 - 717*n**2 + 2146*n + 6728.
-(n - 4)*(n + 2)*(n + 29)**2
Factor 3*d**3 + 2637*d**2 + 772641*d + 75461271.
3*(d + 293)**3
Factor -2*w**3 - 18*w**2 + 18*w + 162.
-2*(w - 3)*(w + 3)*(w + 9)
Suppose -3*f**4 - 72*f**3 - 135*f**2 + 4050*f = 0. Calculate f.
-15, 0, 6
Factor 3*u**5 - 9*u**4 - 12*u**3.
3*u**3*(u - 4)*(u + 1)
Suppose -4*b**2 - 64*b + 68 = 0. Calculate b.
-17, 1
Find u such that 338*u**2 + 936*u + 648 = 0.
-18/13
Solve -w**3/10 + 3*w**2/10 + w = 0.
-2, 0, 5
Find a, given that -3*a**3 + 213*a**2 - 4257*a + 16335 = 0.
5, 33
Factor 2*n**3/7 - 478*n**2/7 + 3728*n/7 - 1056.
2*(n - 231)*(n - 4)**2/7
Find x, given that -x**5 + 99*x**4 - 3267*x**3 + 35937*x**2 = 0.
0, 33
Let -13*w**3 + 54*w**2 + 57*w - 10 = 0. What is w?
-1, 2/13, 5
Factor i**3/10 + 6*i**2/5 - 13*i/10.
i*(i - 1)*(i + 13)/10
Factor -a**2/2 - 70*a.
-a*(a + 140)/2
Suppose 5*o**5 - 15*o**4 - 20*o**3 = 0. Calculate o.
-1, 0, 4
Determine z, given that 15*z**4 - 6*z**3 - 45*z**2 + 48*z - 12 = 0.
-2, 2/5, 1
Factor i**3 - 36*i**2 + 357*i - 1078.
(i - 22)*(i - 7)**2
Determine n, given that -520*n**2/3 - 146*n/3 - 4/3 = 0.
-1/4, -2/65
Solve -2*d**5/7 + 12*d**4/7 - 4*d**3/7 - 72*d**2/7 + 54*d/7 + 108/7 = 0 for d.
-2, -1, 3
Factor q**2/2 + 5*q + 9/2.
(q + 1)*(q + 9)/2
Suppose 315*z**5 + 1380*z**4 - 1120*z**3 - 710*z**2 + 85*z + 50 = 0. Calculate z.
-5, -1/3, 2/7, 1
Suppose 4*z**2/3 - 52*z/3 + 48 = 0. Calculate z.
4, 9
Factor z**2/2 + 5*z/2 - 12.
(z - 3)*(z + 8)/2
What is i in 5*i**4 - 1970*i**3 + 5880*i**2 - 5870*i + 1955 = 0?
1, 391
Let -5*c**2 - 45*c + 350 = 0. What is c?
-14, 5
Factor 6*k**2/5 - 18396*k/5 + 14100534/5.
6*(k - 1533)**2/5
Factor 4*p**5 + 184*p**4 + 180*p**3.
4*p**3*(p + 1)*(p + 45)
Factor -3*c**5 - 96*c**4 - 84*c**3 + 294*c**2 + 471*c + 186.
-3*(c - 2)*(c + 1)**3*(c + 31)
Factor 3*l**2 + 4275*l.
3*l*(l + 1425)
What is n in 3*n**4 - 36*n**2 + 48*n = 0?
-4, 0, 2
Find r, given that -5*r**4 + 70*r**3 - 195*r**2 - 270*r = 0.
-1, 0, 6, 9
Factor -17*d**3/3 - 44*d**2 - 29*d + 28/3.
-(d + 1)*(d + 7)*(17*d - 4)/3
Factor h**5 + 93*h**4 + 1811*h**3 - 16405*h**2 + 27000*h - 12500.
(h - 5)*(h - 1)**2*(h + 50)**2
Find w, given that -24*w**3 + 2*w**2 + 18*w + 4 = 0.
-2/3, -1/4, 1
Factor -2*s**2/9 - 22*s/9 + 8/3.
-2*(s - 1)*(s + 12)/9
Factor w**5/10 + w**4/10 - 3*w**3/10 - w**2/2 - w/5.
w*(w - 2)*(w + 1)**3/10
Factor -3*x**2/4 - 25*x/2 - 47/4.
-(x + 1)*(3*x + 47)/4
Determine a so that -2*a**2 - 453*a - 226 = 0.
-226, -1/2
Factor -10*a**2 + 87*a + 27.
-(a - 9)*(10*a + 3)
Determine n so that -84*n**4 - 244*n**3 - 144*n**2 + 16*n = 0.
-2, -1, 0, 2/21
Factor -3*y**3/5 - 93*y**2 + 1416*y/5 - 948/5.
-3*(y - 2)*(y - 1)*(y + 158)/5
Factor 2738*s**2 + 31376*s + 89888.
2*(37*s + 212)**2
Factor v**2/3 - 1592*v/3 + 633616/3.
(v - 796)**2/3
Factor -5*c**4 + 35*c**3 + 260*c**2 + 460*c + 240.
-5*(c - 12)*(c + 1)*(c + 2)**2
Factor -q**5 - 5*q**4 - 7*q**3 + q**2 + 8*q + 4.
-(q - 1)*(q + 1)**2*(q + 2)**2
Suppose 3*s**3 - 2304*s**2 + 589824*s - 50331648 = 0. Calculate s.
256
Suppose -12*f**4 - 253*f**3 - 1461*f**2 - 1320*f - 100 = 0. Calculate f.
-10, -1, -1/12
Find j, given that -35*j**5/2 + 10*j**4 + 85*j**3/2 + 15*j**2 = 0.
-1, -3/7, 0, 2
Suppose -2*y**3 - 62*y**2 - 168*y = 0. Calculate y.
-28, -3, 0
Find g, given that 5*g**5 - 189*g**4/4 - 169*g**3/2 - 10*g**2 + 39*g/2 - 11/4 = 0.
-1, 1/5, 1/4, 11
Factor -5*x**2 - 2265*x - 2260.
-5*(x + 1)*(x + 452)
Factor -13*m**2 - m.
-m*(13*m + 1)
Factor -3675*g**2 + 280*g - 16/3.
-(105*g - 4)**2/3
Factor -2*g**2 - 32*g - 120.
-2*(g + 6)*(g + 10)
Factor -l**5/5 + l**4 - 6*l**3/5 - 2*l**2/5 + 7*l/5 - 3/5.
-(l - 3)*(l - 1)**3*(l + 1)/5
Suppose -6*v**3/7 - 60*v**2/7 + 222*v/7 - 156/7 = 0. What is v?
-13, 1, 2
Determine z so that -4*z**4 + 8*z**3 = 0.
0, 2
Suppose 4*g**5 + 12*g**4/5 - 128*g**3/5 - 32*g**2/5 + 192*g/5 - 64/5 = 0. Calculate g.
-2, 2/5, 1, 2
Factor 2*r**5/3 + 34*r**4 + 416*r**3 - 1352*r**2/3.
2*r**2*(r - 1)*(r + 26)**2/3
Determine p so that -20*p**3 - 95*p**2 + 145*p - 30 = 0.
-6, 1/4, 1
Suppose -17*y**3 + 342*y**2 - 652*y + 72 = 0. Calculate y.
2/17, 2, 18
Solve r**3 + 408*r**2 - 819*r + 410 = 0.
-410, 1
Factor 4*v**2/7 + 120*v/7 - 124/7.
4*(v - 1)*(v + 31)/7
Factor -50625*r**4/7 - 13500*r**3/7 - 1350*r**2/7 - 60*r/7 - 1/7.
-(15*r + 1)**4/7
Factor -y**2 - 4*y + 12.
-(y - 2)*(y + 6)
Factor 4*a**2 - 152*a + 544.
4*(a - 34)*(a - 4)
Factor -2*v**3 - 68*v**2 + 222*v.
-2*v*(v - 3)*(v + 37)
Suppose 5*w**3 - 155*w**2 - 5*w + 155 = 0. Calculate w.
-1, 1, 31
Find v, given that -5*v**2/3 + 15*v - 100/3 = 0.
4, 5
Determine x so that -2*x**5/3 - 8*x**4 + 532*x**2/3 + 470*x + 300 = 0.
-10, -3, -1, 5
Factor 5*s**4 + 2890*s**3 + 420485*s**2 + 832320*s + 414720.
5*(s + 1)**2*(s + 288)**2
Factor -20*u**2 + 3455*u + 865.
-5*(u - 173)*(4*u + 1)
Find n, given that 3*n**4 - 6*n**3 - 27*n**2 + 54*n = 0.
-3, 0, 2, 3
Factor -3*x**3/4 + 141*x**2/4 - 69*x/2.
-3*x*(x - 46)*(x - 1)/4
Factor -s**4/5 + 2176*s**3/5 - 1775616*s**2/5 + 643956736*s/5 - 87578116096/5.
-(s - 544)**4/5
Factor u**2/2 + 125*u + 15625/2.
(u + 125)**2/2
Factor -3*u**3 + 57*u**2/4 - 45*u/4.
-3*u*(u - 1)*(4*u - 15)/4
Factor -5*o**5 + 140*o**4 - 265*o**3 + 130*o**2.
-5*o**2*(o - 26)*(o - 1)**2
Let -2*c**5 + 4*c**4 + 68*c**3 - 328*c**2 + 510*c - 252 = 0. What is c?
-7, 1, 2, 3
Factor -2*v**3 - 64*v**2 - 414*v.
-2*v*(v + 9)*(v + 23)
Find y, given that -y**4/3 + y**3 + y**2 - 7*y/3 - 2 = 0.
-1, 2, 3
Solve 5*y**4 + 220*y**3 + 3150*y**2 + 13500*y - 16875 = 0 for y.
-15, 1
Factor 6*o**2 - 1228*o + 816.
2*(o - 204)*(3*o - 2)
Solve 3*x**3/2 - 15*x**2 + 63*x/2 = 0.
0, 3, 7
Determine l, given that 14*l**2 + 120*l + 154 = 0.
-7, -11/7
Solve -2*c**3 + 282*c**2 - 1900*c + 3216 = 0.
3, 4, 134
Factor 4*u**3 + 36*u**2 - 16*u - 144.
4*(u - 2)*(u + 2)*(u + 9)
Suppose -2*h**4/9 - 10*h**3/9 - 14*h**2/9 - 2*h/3 = 0. What is h?
-3, -1, 0
Factor -3*f**2/2 - 10755*f - 38556675/2.
-3*(f + 3585)**2/2
Let -2*n**5 - 60*n**4 - 600*n**3 - 2000*n**2 = 0. What is n?
-10, 0
Solve -o**4 - 9*o**3 + 103*o**2 + 1125*o + 1782 = 0 for o.
-9, -2, 11
Let 4*p**3 + 60*p**2 + 48*p - 112 = 0. Calculate p.
-14, -2, 1
Factor -3*u**5/5 - 213*u**4/5 - 4089*u**3/5 - 11019*u**2/5 - 10608*u/5 - 3468/5.
-3*(u + 1)**3*(u + 34)**2/5
Find g such that -5*g**3/2 - 25*g**2/2 + 5*g + 60 = 0.
-4, -3, 2
Factor -5*f**4 + 50*f**3 + 15*f**2 - 140*f - 100.
-5*(f - 10)*(f - 2)*(f + 1)**2
Determine z so that -3*z**5/5 - 27*z**4 - 342*z**3 - 870*z**2 - 819*z - 1323/5 = 0.
-21, -1
Factor -f**3/3 + 28*f**2/3 + 20*f.
-f*(f - 30)*(f + 2)/3
Solve -5*p**4 + 115*p**3 + 1160*p**2 + 2480*p = 0 for p.
-4, 0, 31
Solve -2*j**2/7 + 690*j/7 + 2088/7 = 0 for j.
-3, 348
Suppose 2*z**2 - 760*z + 72200 = 0. What is z?
190
Determine c so that 5*c**4 - 180*c**3 - 185*c**2 = 0.
-1, 0, 37
Let -4*m**3 - 16*m**2 + 48*m = 0. Calculate m.
-6, 0, 2
Factor -4*r**2 + 928*r + 932.
-4*(r - 233)*(r + 1)
Find o, given that o**5 - 23*o**4/5 - 3*o**3 + 83*o**2/5 + 94*o/5 + 24/5 = 0.
-1, -2/5, 3, 4
Let 3*q**4 - 120*q**3 + 531*q**2 - 186*q - 840 = 0. Calculate q.
-1, 2, 4, 35
Solve -2*f**4/3 + 6*f**3 + 52*f**2/3 - 24*f - 176/3 = 0.
-2, 2, 11
Find f, given that f**2 + 337*f = 0.
-337, 0
Find v, given that 3*v**5/8 - 21*v**4/8 + 15*v**3/4 + 3*v**2/4 - 33*v/8 + 15/8 = 0.
-1, 1, 5
Factor 3*c**3/7 + 1035*c**2/7 - 1038*c/7.
3*c*(c - 1)*(c + 346)/7
Solve 36*t**5 + 4110*t**4 - 16478*t**3 - 22970*t**2 - 9214*t - 1180 = 0 for t.
-118, -1/2, -1/3, 5
Let -w**2/2 + 9/2 = 0. What is w?
-3, 3
Determine m so that -m**2 - 1932*m - 933156 = 0.
-966
Factor -k**2/3 - k + 11 | {
"pile_set_name": "DM Mathematics"
} |
8187 rounded to six dps?
-0.000082
What is -0.000059195 rounded to 6 dps?
-0.000059
Round 0.000000103 to seven dps.
0.0000001
Round -16960 to the nearest one thousand.
-17000
Round 66.778 to the nearest ten.
70
What is -9.945 rounded to the nearest integer?
-10
Round 14682600 to the nearest 1000000.
15000000
Round -0.007736 to 3 dps.
-0.008
Round 68000 to the nearest ten thousand.
70000
What is -0.255 rounded to one dp?
-0.3
What is -19406 rounded to the nearest one thousand?
-19000
What is 20.625 rounded to the nearest integer?
21
Round -0.00163495 to five dps.
-0.00163
What is 0.002198 rounded to three dps?
0.002
Round 4006000 to the nearest one hundred thousand.
4000000
Round 0.00156 to four decimal places.
0.0016
Round -0.0107688 to 4 decimal places.
-0.0108
Round -0.006883 to four dps.
-0.0069
What is 0.00009009 rounded to 5 decimal places?
0.00009
Round -0.1461 to one decimal place.
-0.1
Round -0.0042992 to 4 dps.
-0.0043
What is 0.102203 rounded to 4 decimal places?
0.1022
Round -5.6905 to 2 dps.
-5.69
What is -64782 rounded to the nearest ten thousand?
-60000
What is -0.499 rounded to 1 decimal place?
-0.5
What is 0.0004919 rounded to 5 dps?
0.00049
What is 20.99 rounded to the nearest ten?
20
What is -1.25317 rounded to two decimal places?
-1.25
Round 69.9 to the nearest integer.
70
Round -312220 to the nearest 100000.
-300000
Round -11280000 to the nearest 1000000.
-11000000
Round 10660 to the nearest one hundred.
10700
What is 0.000005287 rounded to 7 dps?
0.0000053
What is -131400000 rounded to the nearest 1000000?
-131000000
What is -8434000 rounded to the nearest 1000000?
-8000000
Round -254200 to the nearest 10000.
-250000
What is -0.00038757 rounded to four dps?
-0.0004
What is 15 rounded to the nearest ten?
20
Round 0.01411 to three dps.
0.014
Round -24.92 to the nearest ten.
-20
What is -210454 rounded to the nearest 10000?
-210000
What is -0.00004339 rounded to five decimal places?
-0.00004
What is 0.000081152 rounded to six decimal places?
0.000081
Round 214.37 to the nearest ten.
210
What is 85807000 rounded to the nearest one hundred thousand?
85800000
What is -0.07152 rounded to three decimal places?
-0.072
What is -1.391 rounded to 2 decimal places?
-1.39
Round -0.293 to 2 dps.
-0.29
Round -23940 to the nearest 1000.
-24000
Round 0.000100426 to six dps.
0.0001
Round -0.0006 to 4 decimal places.
-0.0006
Round -49.99 to 0 decimal places.
-50
Round 1.2907 to one dp.
1.3
What is 44.9 rounded to the nearest ten?
40
Round -0.012456 to 4 dps.
-0.0125
What is -0.000008389 rounded to 7 decimal places?
-0.0000084
What is -0.0000014443 rounded to 7 dps?
-0.0000014
Round -9882000 to the nearest one hundred thousand.
-9900000
Round -0.00322 to 4 decimal places.
-0.0032
Round -68450 to the nearest 1000.
-68000
Round 0.033219 to four decimal places.
0.0332
What is 6.033 rounded to the nearest integer?
6
What is -32369000 rounded to the nearest 100000?
-32400000
What is 6830.42 rounded to the nearest 1000?
7000
Round 0.035818 to 3 decimal places.
0.036
What is -50350000 rounded to the nearest one million?
-50000000
What is 51500 rounded to the nearest ten thousand?
50000
What is -0.0000001909 rounded to six dps?
0
Round 159155 to the nearest one thousand.
159000
What is -0.0066654 rounded to 5 decimal places?
-0.00667
What is -82600 rounded to the nearest 10000?
-80000
What is 0.4205 rounded to two dps?
0.42
Round 0.0000196 to 4 decimal places.
0
What is 1.598 rounded to 1 dp?
1.6
What is 0.11927 rounded to three dps?
0.119
What is -0.00018698 rounded to six decimal places?
-0.000187
Round -0.0000657 to five decimal places.
-0.00007
What is -0.371 rounded to one decimal place?
-0.4
Round -0.00009979 to 5 decimal places.
-0.0001
What is -6.7913 rounded to one dp?
-6.8
Round -0.0001175 to 6 decimal places.
-0.000118
Round 7799 to the nearest 100.
7800
Round 932 to the nearest 100.
900
What is -0.00001495 rounded to 7 dps?
-0.000015
Round 1415000 to the nearest one hundred thousand.
1400000
What is -0.00393 rounded to four dps?
-0.0039
What is 0.000000825 rounded to seven dps?
0.0000008
Round -0.02069 to two dps.
-0.02
Round -15627 to the nearest 1000.
-16000
Round -0.2887 to 2 decimal places.
-0.29
Round -563.32 to the nearest one hundred.
-600
Round 0.00000109552 to seven dps.
0.0000011
What is -11.079 rounded to the nearest integer?
-11
Round -3175 to the nearest 1000.
-3000
What is -3690 rounded to the nearest one hundred?
-3700
Round -0.38085 to one dp.
-0.4
What is 128.81 rounded to the nearest 10?
130
What is -3.7907 rounded to one dp?
-3.8
What is 66802600 rounded to the nearest 100000?
66800000
What is -5769700 rounded to the nearest 100000?
-5800000
Round 1070 to the nearest 100.
1100
What is -0.014106 rounded to three decimal places?
-0.014
Round -0.000004981 to seven dps.
-0.000005
Round 0.013012 to 4 decimal places.
0.013
Round -3.2249 to 1 decimal place.
-3.2
What is -0.00003517 rounded to five decimal places?
-0.00004
What is 0.00636 rounded to 4 decimal places?
0.0064
Round -217.931 to the nearest 10.
-220
Round -0.00001559 to 6 dps.
-0.000016
What is 2061.6 rounded to the nearest 10?
2060
What is 1.5642 rounded to zero dps?
2
What is 1110.97 rounded to the nearest 100?
1100
Round -302.21 to 0 dps.
-302
Round 3990000 to the nearest one hundred thousand.
4000000
What is 22996 rounded to the nearest ten thousand?
20000
Round 0.000003786 to 6 dps.
0.000004
Round 0.00000146 to 7 dps.
0.0000015
What is 297 rounded to the nearest 10?
300
What is -0.000103318 rounded to 5 dps?
-0.0001
What is 8917000 rounded to the nearest one million?
9000000
Round -0.00006939 to 6 decimal places.
-0.000069
Round -0.1967 to one decimal place.
-0.2
What is -38.494 rounded to the nearest ten?
-40
What is 10149 rounded to the nearest one thousand?
10000
Round 0.821 to two dps.
0.82
Round -6608 to the nearest 100.
-6600
What is 0.014211 rounded to four decimal places?
0.0142
Round 112320 to the nearest 1000.
112000
Round -3706800 to the nearest one hundred thousand.
-3700000
Round -21.27 to 0 dps.
-21
Round 0.00042931 to 5 decimal places.
0.00043
Round 0.005881 to three decimal places.
0.006
What is -536400 rounded to the nearest 10000?
-540000
Round -0.0062253 to three decimal places.
-0.006
What is 0.0428451 rounded to 4 decimal places?
0.0428
Round -0.0000051538 to seven decimal places.
-0.0000052
What is -6030 rounded to the nearest one hundred?
-6000
Round 0.0000002488 to 7 decimal places.
0.0000002
Round 0.000002706 to six decimal places.
0.000003
What is 5247000 rounded to the nearest 100000?
5200000
What is 122.77 rounded to the nearest 10?
120
Round -0.007615 to three decimal places.
-0.008
What is -0.000161 rounded to five decimal places?
-0.00016
Round -539.06 to the nearest one hundred.
-500
Round 0.001144 to five dps.
0.00114
Round -0.000004077 to seven decimal places.
-0.0000041
What is 2.435 rounded to one decimal place?
2.4
Round -0.00002524 to 6 dps.
-0.000025
Round -15457 to the nearest 10000.
-20000
Round -201397 to the nearest 10000.
-200000
What is 0.126889 rounded to 3 dps?
0.127
Round 0.1039 to three decimal places.
0.104
Round -41.7098 to one dp.
-41.7
What is 4430000 rounded to the nearest one million?
4000000
Round -27537.4 to the nearest one hundred.
-27500
What is -8941000 rounded to the nearest 100000?
-8900000
Round -3.0444 to 1 dp.
-3
Round -6330 to the nearest 1000.
-6000
What is -0.000101711 rounded to five dps?
-0.0001
What is 10.062 rounded to the nearest 10?
10
Round 4755000 to the nearest one hundred thousand.
4800000
What is 2.89 rounded to zero dps?
3
What is -0.000065439 rounded to five dps?
-0.00007
Round 2056 to the nearest 100.
2100
Round 8630000 to the nearest one million.
9000000
Round 16414 to the nearest 1000.
16000
Round -13759 to the nearest one thousand.
-14000
What is 117782 rounded to the nearest 1000?
118000
Round 0.000021278 to seven dps.
0.0000213
Round 0.00012534 to four dps.
0.0001
What is 0.35666 rounded to 2 decimal places?
0.36
What is -218.5 rounded to the nearest one hundred?
-200
Round 0.013693 to 3 decimal places.
0.014
What is 0.00000687 rounded to 6 decimal places?
0.000007
What is -280500000 rounded to the nearest 1000000?
-281000000
What is -120.8 rounded to the nearest 10?
-12 | {
"pile_set_name": "DM Mathematics"
} |
89/68)
Simplify (i/(i*i**(-6)))/(i/(i**(2/23)*i)) assuming i is positive.
i**(140/23)
Simplify ((h/(h**(-2)*h*h))/(h**(-2/11)/h*h))/(h**2*h)**18 assuming h is positive.
h**(-581/11)
Simplify (m**15/((m*m*m*m**22*m)/m))**27 assuming m is positive.
m**(-270)
Simplify (m**(2/3)*m/(m/(m*(m/(m**(-10)/m))/m)))**(4/5) assuming m is positive.
m**(152/15)
Simplify (t**(-3/2))**(2/181) assuming t is positive.
t**(-3/181)
Simplify (r**5/r*r/(r*r**(1/4)))**(-1/24) assuming r is positive.
r**(-5/32)
Simplify (f**(-1))**(-4/5)*f**(-6)*f*f*f/f**(-1/2) assuming f is positive.
f**(-17/10)
Simplify ((d*d/((d*(d**2*d*d*d*d)/d)/d))/d)**(-2/3)/(d/(d*(d/((d/(d**(-2/9)/d))/d))/d)*d**7/d*d) assuming d is positive.
d**(-50/9)
Simplify (h**(-1)*h)**(1/7)/(h**3/(h*h*h**0/h)) assuming h is positive.
h**(-2)
Simplify k**(-3/2)/k**(-5/3) assuming k is positive.
k**(1/6)
Simplify (c*c*c*c**(-2)*c)/(c*(c/c**(-1/3))/c)*(c**(-1))**(-1/20) assuming c is positive.
c**(43/60)
Simplify o**(1/37)/o*o*o*o/(((o*o**(-2/11)/o)/o)/o) assuming o is positive.
o**(1713/407)
Simplify (y**(-1/2))**(-1/13)*y**6/y**(-6) assuming y is positive.
y**(313/26)
Simplify (k*k*k*k**(-1/57)/k)/((k/(k*k**(-2/9)*k))/k) assuming k is positive.
k**(643/171)
Simplify (k/k**1*k*k*k**16)**(-1/10) assuming k is positive.
k**(-9/5)
Simplify (t**5/((t**(-2)*t)/t))/(((t/(t*t**(-2/7)))/t)/((t/t**(-1/2))/t)) assuming t is positive.
t**(115/14)
Simplify (k*k**20)/k**(-20) assuming k is positive.
k**41
Simplify m/((((m**35/m)/m)/m)/m)*m**(-23) assuming m is positive.
m**(-53)
Simplify l/(l*l/l**(-16))*l**25*l assuming l is positive.
l**9
Simplify g**(3/2)*g*g*g**15*g assuming g is positive.
g**(39/2)
Simplify (n**(2/7))**(-1/2)/((n*(n**(-2/9)/n)/n)/((n*n**(-5)/n)/n)) assuming n is positive.
n**(-310/63)
Simplify a/(a/a**(-3/13))*a*(a/(a*((a**(-3)/a)/a)/a))/a assuming a is positive.
a**(75/13)
Simplify q**(-2)*q*q**5/q*q*q*(q/(q*q**(-2/5)*q))/q**1 assuming q is positive.
q**(17/5)
Simplify (((i**(2/5)/i)/i)**(2/91))**(1/25) assuming i is positive.
i**(-16/11375)
Simplify b*b*b**(-2/23)*b*b**(-15/7) assuming b is positive.
b**(124/161)
Simplify (o**6)**17 assuming o is positive.
o**102
Simplify (f**(-1))**(-1/6)/((f*f*f*(f/f**5)/f*f)/f**0) assuming f is positive.
f**(7/6)
Simplify ((c*c**(-4))/c)/c*c**(-2/37) assuming c is positive.
c**(-187/37)
Simplify m*m**(5/3)*m**7 assuming m is positive.
m**(29/3)
Simplify (s**(1/2)*(s*((s**4*s)/s)/s)/s)/(s**(-2/3))**26 assuming s is positive.
s**(125/6)
Simplify (f/(f/f**(-24/5)))/(((f**(-20)/f)/f)/f) assuming f is positive.
f**(91/5)
Simplify (r/(r**(4/3)*r)*r*r**(2/11))/(r**(-6)*r*r/((r/(r*r*(r/r**4)/r))/r*r)) assuming r is positive.
r**(226/33)
Simplify (q/(q/(q*q*(q*q**3)/q*q)*q))/(q**(-5/3)*q)*((q/q**(1/4)*q)/q)**(-11/9) assuming q is positive.
q**(19/4)
Simplify (i*i*i**(-5)*i)/(i*i*i*i**5)*i**(-2)*(i*i**3/i)/i assuming i is positive.
i**(-10)
Simplify y*y/y**3*y*y**(4/5)/y assuming y is positive.
y**(-1/5)
Simplify (k/k**(1/4))/(k/((k**(-1/4)/k)/k))*(k*k/k**6)/(k/k**(-2/3)) assuming k is positive.
k**(-49/6)
Simplify (g/(g*g*g**(5/4)*g)*g*g/g**(-2/15))/((g*g/((g/g**3)/g)*g)/((((g**(1/2)*g)/g)/g)/g)) assuming g is positive.
g**(-517/60)
Simplify (m*m**(2/3)*m*m/m**(-1/4))**17 assuming m is positive.
m**(799/12)
Simplify (t*t**(-2)*t)**(15/8)/(((t*t*t**(-7))/t)/(t**(-7/5)/t)) assuming t is positive.
t**(18/5)
Simplify ((m**6/m)/m**(1/4))/((m*(m*(m/m**(-3/10))/m)/m)/m**(1/5)) assuming m is positive.
m**(73/20)
Simplify (r**(-1/19)/r**(-6))**(2/45) assuming r is positive.
r**(226/855)
Simplify (n*n*n/((n/(n*n**1))/n))/(n**(5/3)*n*n)*n**0/(n/(n**(-1/4)/n*n)) assuming n is positive.
n**(1/12)
Simplify ((a**(1/4))**(-34))**(-27) assuming a is positive.
a**(459/2)
Simplify (y**(2/13)/(y/(y*y**(-1/18))))/(y**(-4)*y/y**(-8)) assuming y is positive.
y**(-1147/234)
Simplify (x**(-1))**49*x**3/((x/(x/(x*x**(-4)*x*x)*x))/x) assuming x is positive.
x**(-43)
Simplify (d*d**1)**(-2/25)*d**(-2)/(d**(-2)*d) assuming d is positive.
d**(-29/25)
Simplify (f**(-1/12)/f*((f/f**(1/4))/f)/f)/(f*f**(6/7)*f**4) assuming f is positive.
f**(-172/21)
Simplify (y**(4/7))**(-4/7) assuming y is positive.
y**(-16/49)
Simplify ((z*(z**(-2/7)*z)/z*z)/z)/z**(1/13)*z*z/(z**(2/13)*z*z)*z/(z/(z/(z*z*z**(-4)/z))*z) assuming z is positive.
z**(317/91)
Simplify j/j**(1/2)*j*j**(4/13) assuming j is positive.
j**(47/26)
Simplify (s/((s/(s*s*s*s**9*s))/s))**19 assuming s is positive.
s**266
Simplify (n/((n*(((n*(n*n*(n/n**(-5))/n)/n)/n)/n)/n)/n)*n**(-6))/((n*n**(-1/5)/n)/(n/(n*(n*n**(2/5))/n)*n)) assuming n is positive.
n**(-41/5)
Simplify (z**(-1/4))**32*(z/(z*z/(z*z*z**2*z*z)))**(1/53) assuming z is positive.
z**(-419/53)
Simplify t/((t*t/(t/t**(-6))*t)/t)*((t**(-1/2)/t)/t)/t*(t/(t**0*t)*t*t*t)**11 assuming t is positive.
t**(71/2)
Simplify (o**(2/5)*o)**(-2/83)*(o**(3/5)*o)/o**(1/5) assuming o is positive.
o**(567/415)
Simplify (f/f**(-7))/(f/(f**(12/7)*f)) assuming f is positive.
f**(68/7)
Simplify ((t/(t**(-6)*t))/(t**(-10)*t))/(t*((t**(-4)*t)/t)/t*t/(t*t**(-3))) assuming t is positive.
t**16
Simplify (b**9/b**5)**22 assuming b is positive.
b**88
Simplify (v**(-1/2))**(-6/35)*(v**(1/3))**(-50) assuming v is positive.
v**(-1741/105)
Simplify (o**6*o)/o**6*(o/(o/(o**(-2/5)/o)))**(-39) assuming o is positive.
o**(278/5)
Simplify (r**(1/6)*r)**(4/11) assuming r is positive.
r**(14/33)
Simplify (a*a/(a**(1/4)/a))**(-36)*a**(4/5)/(a*a/a**(-2/9)) assuming a is positive.
a**(-4519/45)
Simplify (u/u**(-18))/(u/u**(1/16)*u) assuming u is positive.
u**(273/16)
Simplify (c**1/c)**33/((c**4/c)/((c*c/c**(1/4)*c)/c)) assuming c is positive.
c**(-5/4)
Simplify (d**7*d)/d**(-1/2)*(d/(d*d*d/(d/(d*d/(d*d**10*d*d))))*d)/(d*d/d**(-2)) assuming d is positive.
d**(31/2)
Simplify (y**(-1)/y)/y**(-8)*(y**(-1/4))**(1/2) assuming y is positive.
y**(47/8)
Simplify (y*((y**(5/7)/y)/y*y*y)/y)**39 assuming y is positive.
y**(195/7)
Simplify (p**(-10)/((p**(1/4)*p)/p))**(-4/3) assuming p is positive.
p**(41/3)
Simplify j**(3/4)/j**(-1/9) assuming j is positive.
j**(31/36)
Simplify s/(s*s**(1/8))*s**(1/2)/s*s*s*((s/((s/(s*s**(6/5)*s))/s))/s)/(s*s**3) assuming s is positive.
s**(23/40)
Simplify (p/(p**(-1)*p)*p**3*p)**(21/5) assuming p is positive.
p**21
Simplify ((a/(a/a**(-5/7)))/a)/((a*(a*a**11/a)/a)/a*a*a)*a**11*a**(-2/7) assuming a is positive.
a**(-3)
Simplify (l**1*l*l**1)/(l**(1/9)/(l*l**2)) assuming l is positive.
l**(53/9)
Simplify x**(2/69)/(x*x**(1/17)/x) assuming x is positive.
x**(-35/1173)
Simplify ((g*g/(g**(2/11)/g)*g)/(g*g**(5/2)*g))/(g**(-2/9))**(-26) assuming g is positive.
g**(-1279/198)
Simplify (o**(5/3)/(o/(o*(o**(2/7)/o)/o)))/(o*(o*o**(-2/7)/o*o*o)/o*o*((o*o/(o/(o*o**5)))/o)/o) assuming o is positive.
o**(-163/21)
Simplify (t**(-3)/t**(-6))/(t**(-1)*t*t**(2/5)*t) assuming t is positive.
t**(8/5)
Simplify ((r*r/(r*r*r**(-5)/r*r))/r**(-5))/(((r**7*r)/r*r)/(r*r*r/(r/(((r*r**(-8))/r)/r)))) assuming r is positive.
r**(-5)
Simplify l/(l/l**(-4))*l**(-2)*l*(l*l**0)**(1/15) assuming l is positive.
l**(-74/15)
Simplify t**5*t**6*t**(1/9)/(t/(t**(-2/13)/t)) assuming t is positive.
t**(1048/117)
Simplify ((o/o**30)/o)/o*o/((o*((o/o**(3/26))/o)/o)/o) assuming o is positive.
o**(-751/26)
Simplify ((z/z**6)/z*z/(z*z**(-3/2)*z))**(4/9) assuming z is positive.
z**(-22/9)
Simplify t**(2/73)*t**(9/5) assuming t is positive.
t**(667/365)
Simplify (y**(-3/4))**(-2/105) assuming y is positive.
y**(1/70)
Simplify a**(3/4)/a*a*a**24 assuming a is positive.
a**(99/4)
Simplify (s*s**(-2/51))/(s/((s*s**(-24))/s)) assuming s is positive.
s**(-1226/51)
Simplify (n**(-1))**(-23) assuming n is positive.
n**23
Simplify m**27/(m/(m**7*m)*m*m) assuming m is positive.
m**32
Simplify (m**(-2/5)/m)**8*(m*m/(m/(m/(m/(m/((m**(1/3)/m)/m))))))**(-2/7) assuming m is positive.
m**(-1286/105)
Simplify n**4*n**(-3)/n*n*n**(-2/7)*n*n/(n**(2/3)*n) assuming n is positive.
n**(22/21)
Simplify j**(-5)/(j/(j/j**(2/7)*j))*(j/(j/j**(-1)))**(1/41) assuming j is positive.
j**(-1237/287)
Simplify (f**(-1/6)/(((f/(f/(f*f*f*f**(-4/11)*f*f)*f))/f)/f))**4 assuming f is positive.
f**(-238/33)
Simplify (g/((g**(-7)*g)/g))/g**(-13) assuming g is positive.
g**21
Simplify (((a*(a*a**(-2))/a)/a)**27)**(5/6) assuming a is positive.
a**(-45)
Simplify ((w**(1/5)/w)/(w/(w**(-3)*w)))/( | {
"pile_set_name": "DM Mathematics"
} |
) to base 12
-3506
Convert 8e52 (base 16) to base 14.
d3c6
-2786 (base 9) to base 3
-2212220
-1362 (base 10) to base 16
-552
35177 (base 8) to base 10
14975
6118 (base 9) to base 7
16016
What is -1121 (base 3) in base 4?
-223
Convert -1164 (base 7) to base 4.
-12312
What is -222340 (base 5) in base 8?
-17245
What is 1214 (base 9) in base 13?
547
Convert -143556 (base 7) to base 3.
-1102000220
Convert 1010110111 (base 2) to base 11.
582
What is -29a (base 13) in base 11?
-393
Convert 302003 (base 4) to base 10.
3203
Convert 1001111111100 (base 2) to base 3.
21000111
What is 1300130 (base 4) in base 10?
7196
Convert 2b (base 15) to base 6.
105
Convert 40331 (base 6) to base 7.
21325
633 (base 12) to base 3
1020110
Convert -220001 (base 4) to base 7.
-10316
Convert 2ddc (base 14) to base 8.
20046
-3731 (base 8) to base 5
-31014
Convert -52cd (base 15) to base 9.
-26024
Convert 2c72 (base 14) to base 8.
17404
What is 110001221 (base 3) in base 9?
13057
70 (base 13) to base 8
133
Convert 400431 (base 5) to base 12.
7374
132 (base 11) to base 4
2130
Convert -2155 (base 10) to base 14.
-add
What is 142 (base 6) in base 4?
332
What is 31545 (base 6) in base 7?
15401
Convert 1379c (base 13) to base 15.
ac0e
-264 (base 13) to base 4
-12210
Convert -1131 (base 5) to base 8.
-246
10011101101 (base 2) to base 3
1201201
Convert -15302 (base 7) to base 9.
-5758
-1100100111100 (base 2) to base 16
-193c
-ab6 (base 12) to base 5
-22303
Convert -15471 (base 8) to base 6.
-52133
What is -237a6 (base 14) in base 6?
-1504502
-10001011111100 (base 2) to base 8
-21374
12110021 (base 3) to base 15
12a1
Convert -130132 (base 4) to base 14.
-942
What is 39149 (base 10) in base 15?
b8ee
338 (base 16) to base 7
2255
5436 (base 9) to base 10
4002
-1000 (base 8) to base 7
-1331
22201 (base 3) to base 4
3223
Convert 24a (base 14) to base 8.
712
Convert 1110021111 (base 3) to base 14.
a613
-1a29 (base 16) to base 13
-3082
Convert -2088 (base 14) to base 10.
-5608
What is 123615 (base 7) in base 8?
54640
Convert 3330 (base 12) to base 5.
140102
What is -248 (base 16) in base 4?
-21020
Convert 11110110 (base 2) to base 6.
1050
-1765 (base 11) to base 16
-8c9
-1002000122 (base 3) to base 13
-9827
1b0a3 (base 13) to base 5
3142421
33223 (base 6) to base 5
121443
What is -10000000111011 (base 2) in base 14?
-3015
11112001 (base 3) to base 7
12415
Convert -713 (base 10) to base 11.
-599
Convert 11010001 (base 2) to base 6.
545
What is 10643 (base 10) in base 6?
121135
233 (base 10) to base 13
14c
567 (base 8) to base 15
1a0
Convert 4312 (base 16) to base 5.
1022140
Convert 11100101000111 (base 2) to base 9.
22102
103003 (base 4) to base 11
a09
33122 (base 5) to base 6
14331
10479 (base 10) to base 13
4a01
What is 1003200 (base 5) in base 16?
3eb2
What is -55b0 (base 12) in base 2?
-10010100010100
What is -33 (base 8) in base 6?
-43
What is 8516 (base 10) in base 9?
12612
Convert -640 (base 14) to base 5.
-14412
1222101 (base 3) to base 9
1871
What is 1121211112 (base 3) in base 16?
7cd3
Convert 22d3 (base 16) to base 2.
10001011010011
What is 1f24 (base 16) in base 14?
2c96
Convert 110110 (base 3) to base 2.
101010000
What is -3184 (base 10) in base 5?
-100214
What is -2120122002 (base 3) in base 14?
-146dc
What is 1403 (base 9) in base 4?
100200
What is 411342 (base 5) in base 8?
32043
Convert -240330 (base 7) to base 8.
-124572
What is 6b5f (base 16) in base 6?
331131
What is -1586 (base 14) in base 12?
-2282
-1367 (base 11) to base 5
-24032
Convert -17469 (base 13) to base 12.
-21a53
-4557 (base 10) to base 16
-11cd
Convert f3 (base 16) to base 9.
300
Convert 130340 (base 8) to base 2.
1011000011100000
What is -2425 (base 6) in base 2?
-1001010001
What is -48e7 (base 15) in base 2?
-11110010011101
-1011011000 (base 2) to base 16
-2d8
Convert -1200022 (base 3) to base 16.
-4c7
-1010 (base 4) to base 5
-233
What is de (base 15) in base 8?
321
Convert -25df (base 16) to base 15.
-2d15
Convert -510 (base 7) to base 2.
-11111100
Convert -101001100001110 (base 2) to base 14.
-7a6a
e079 (base 16) to base 15
12060
Convert -313113 (base 4) to base 6.
-24223
Convert 11023130 (base 4) to base 11.
14a34
Convert ba8c (base 14) to base 11.
22275
Convert -80b (base 13) to base 8.
-2523
-1d3a (base 14) to base 6
-40424
Convert -3640 (base 9) to base 16.
-a95
What is -2345 (base 7) in base 13?
-518
Convert -132134 (base 5) to base 4.
-1102232
Convert -221210100 (base 3) to base 4.
-10211301
Convert aa34 (base 14) to base 13.
10531
What is 5943 (base 14) in base 5?
444133
What is 161 (base 12) in base 2?
11011001
d0 (base 14) to base 3
20202
What is 22054 (base 7) in base 6?
41331
14585 (base 12) to base 13
cc5c
521 (base 12) to base 14
3b3
1223 (base 4) to base 16
6b
Convert -5550 (base 9) to base 5.
-112340
-32301 (base 11) to base 4
-23131211
-17174 (base 8) to base 15
-24a4
What is -11200002 (base 3) in base 2?
-110101001100
Convert -102224 (base 6) to base 15.
-26d1
Convert a03 (base 15) to base 12.
1379
What is -616 (base 8) in base 5?
-3043
-10431 (base 10) to base 9
-15270
What is -438 (base 9) in base 12?
-25b
-523 (base 14) to base 15
-476
-10031320 (base 4) to base 15
-51b7
Convert -101120112 (base 3) to base 10.
-7709
What is 155b (base 12) in base 6?
15355
3223003 (base 4) to base 9
22564
Convert 1106 (base 8) to base 16.
246
Convert -358 (base 9) to base 8.
-450
What is 243 (base 8) in base 6?
431
Convert 9a5 (base 12) to base 7.
4100
-29932 (base 10) to base 2
-111010011101100
What is -630 (base 8) in base 9?
-503
-c9 (base 13) to base 12
-119
What is 1a4b0 (base 12) in base 4?
21131010
Convert 10787 (base 11) to base 3.
210101011
1011000111011 (base 2) to base 11
4304
Convert 3454 (base 6) to base 16.
33a
Convert 2110212 (base 3) to base 15.
805
201022 (base 3) to base 9
638
ca (base 13) to base 11
141
62a1 (base 11) to base 7
33212
What is -223 (base 7) in base 5?
-430
What is -12102 (base 4) in base 12?
-296
-216 (base 10) to base 16
-d8
What is -1000111001 (base 2) in base 9?
-702
What is 571 (base 15) in base 5?
14411
What is 9081 (base 13) in base 3?
1000021020
Convert -110001202 (base 3) to base 15.
-2915
Convert -654 (base 11) to base 16.
-311
What is -2330 (base 10) in base 7?
-6536
What is -2140 (base 8) in base 3?
-1112111
-4031 (base 6) to base 2
-1101110011
What is -2212123 (base 4) in base 5?
-320101
Convert -54031 (base 6) to base 4.
-1303003
Convert -1085 (base 10) to base 12.
-765
Convert 3121 (base 4) to base 8.
331
Convert -10403 (base 8) to base 11.
-32aa
What is -114e5 (base 15) in base 3?
-2210121022
What is 1562 (base 7) in base 3?
212102
What is 123202 (base 4) in base 6?
12054
Convert -3768 (base 15) to base 4.
-2320112
Convert e308 (base 15) to base 8.
135475
Convert 111 (base 4) to base 8.
25
873 (base 11) to base 14
54c
Convert -9750 (base 11) to base 12.
-7555
Convert 2210 (base 4) to base 2.
10100100
Convert -10010011110100 (base 2) to base 3.
-110222101
What is -561 (base 11) in base 2?
-1010100000
What is -17b8 (base 12) in base 2?
-101100111100
Convert -336 (base 14) to base 10.
-636
125221 (base 8) to base 7
241206
-356 (base 8) to base 2
-11101110
27036 (base 8) to base 3
121012021
Convert 6b2c (base 14) to base 13.
8655
103254 (base 6) to base 12
4b2a
-1452 (base 7) to base 6
-2400
What is 282 (base 11) in base 12?
238
What is 1737 (base 10) in base 15?
7ac
What is 5a2 (base 11) in base 5?
10332
Convert 893 (base 12) to base 5.
20023
Convert -309 (base 12) to base 11.
-371
31013122 (base 4) to base 15
10db7
What is 6b (base 14) in base 5?
340
10851 (base 9) to base 6
53331
Convert -664 (base 11) to base 16.
-31c
What is 672 (base 12) in base 11?
794
-308 (base 9) to base 16
-fb
What is 346 (base 13) in base 10?
565
Convert -502 (base 11) to base 6.
-2451
Convert -11011201 (base 3) to base 4.
-233203
Convert -4966 (base 10) to base 8.
-11546
Convert 1d24 (base 15) to base 7.
24316
Convert 21420 (base 5) to base 14.
781
What is -240013 (base 5) in base 10?
-8758
49 (base 10) to base 5
144
123143 (base 5) to base 2
1001010111110
What is -6016 (base 8) in base 5?
-44321
Convert 217 (base 15) to base 7.
1243
What is 10000000100 (base 2) in base 14?
536
Convert -903a (base 11) to base 6.
-131354
Convert 4732 (base 8) to base 4.
213122
What is -307 | {
"pile_set_name": "DM Mathematics"
} |
t g = 6.85 + s. Round g to two dps.
-0.15
Let s = 13016597 - 3066597. Round s to the nearest one million.
10000000
Let z be (-1)/(-2) + (-9)/18. Suppose z = -0*p - p + 82000. Suppose c + p = -c. Round c to the nearest ten thousand.
-40000
Let n be -1 - 2 - -20420006*(-5)/(-10). Round n to the nearest 1000000.
10000000
Let w be 252/294 + (-426)/7. Let m be 8/w + 423760/75. What is m rounded to the nearest one thousand?
6000
Let d = -8176 - -8180.607. What is d rounded to 1 dp?
4.6
Let t be 0*(-1)/4 + 4. Let h be 3 + -154*(-2)/t. What is h rounded to the nearest one hundred?
100
Let q = -0.011 - 2.689. Let w = 0.85 + q. What is w rounded to one decimal place?
-1.9
Let a = 36 - 35.5. Let l = -0.50021 + a. Round l to four dps.
-0.0002
Suppose 0 = 3*f - 4*k + 7*k - 9833985, 16390020 = 5*f - 4*k. Round f to the nearest 100000.
3300000
Suppose 0 = 8*n - 17999 + 318719. What is n rounded to the nearest one thousand?
-38000
Let r = -14302.13 + 14370. Let f = -68 + r. What is f rounded to 1 decimal place?
-0.1
Suppose -14 + 18 = -2*f, 2*g = 2*f + 54604. Round g to the nearest ten thousand.
30000
Let q = -1.613 - -1.6129993008. What is q rounded to 7 decimal places?
-0.0000007
Let w = 10477340971385520.9999967 - 10477340149631362. Let m = w + -821754101. Let u = 58 - m. What is u rounded to six decimal places?
0.000003
Let o = 117.4 + -110. Let a = o - 7.39999828. What is a rounded to 7 dps?
0.0000017
Let a = 58 + -27. Let o = 31.000046 - a. Round o to 5 decimal places.
0.00005
Let t(u) = -8265*u**2 + 6*u - 1. Let f be (-4)/1 - -3 - -8. Let x = f - -4. Let l be t(x). Round l to the nearest 1000000.
-1000000
Let m(u) = -138393*u - 646. Let f be m(-22). What is f rounded to the nearest one hundred thousand?
3000000
Let o = -40 - -45. Suppose -3*b + 1322 = 4*s, -o*b + 2*s - 5*s = -2207. What is b rounded to the nearest 100?
400
Let c(y) = y**3 + 8*y**2 - 9*y + 5. Let s be c(-9). Suppose 0*t = -s*t - 10. Let k be -1 - 2*1500001/t. What is k rounded to the nearest one million?
2000000
Let l = 204 + -203.9999999889. What is l rounded to 7 decimal places?
0
Let o = 1.0952 + -0.1262. Let r = -0.93 + o. Round r to two decimal places.
0.04
Let c = 0.89 - 0.890584. What is c rounded to 4 decimal places?
-0.0006
Let w = -2382.1 + 2695. Round w to the nearest 10.
310
Let y = 2995.996511 - 2996. What is y rounded to four decimal places?
-0.0035
Suppose -603*z - 13120 = -601*z. Round z to the nearest 100.
-6600
Suppose 0 = -5*g + 14 + 6, -17 = -z - 5*g. Let c(t) = -944444*t**2 + 2*t + 2. Let r be c(z). Round r to the nearest 1000000.
-9000000
Let w = 25 + -25. Let o(q) = 3309*q**2 - 1. Let n be o(-1). Suppose n = 3*d - 4*g, 2*d - d + 4*g - 1092 = w. What is d rounded to the nearest 1000?
1000
Let y = 0.263992 + 2562.981008. Let p = 2561.7450002 - y. Let g = p + 1.5. What is g rounded to 7 decimal places?
0.0000002
Let v = 6 - -3. Let c = v + -8.74. What is c rounded to one decimal place?
0.3
Let q = -0.14 + -3.76. Let c = q - -3.18. Round c to one dp.
-0.7
Let k = -22.7 + 20. Let v = -2.87 - k. Let z = -0.163 - v. What is z rounded to 2 dps?
0.01
Let g = -0.683 - -723.683. Let r = 708.72 - g. Let d = 15 + r. What is d rounded to 1 decimal place?
0.7
Suppose -l + 8*l = -1156631. Let w = -17233 - l. Round w to the nearest ten thousand.
150000
Let a(y) = 279*y**3 + 5*y**2 + 8*y + 2. Let f be a(7). Suppose g + g + f = 0. Let j be g*(50/4)/(-5). What is j rounded to the nearest one hundred thousand?
100000
Suppose -55 = 5*s - 10. Let o(j) = -25*j + 9*j**2 + j**3 + 12 - 27*j + 75*j - 26*j. Let n be o(s). Round n to the nearest 10.
40
Let d = -13.35 + 15. Let p = -9.95 + d. Round p to the nearest integer.
-8
Let y = 7585 + -26655. Let c = -19081.161 - y. Let t = c + -0.139. Round t to the nearest integer.
-11
Let c = -2473 + 2473.07244. Let l = 0.077 - c. Round l to four decimal places.
0.0046
Let a = -107293 - 66907. Round a to the nearest ten thousand.
-170000
Let q = -2397 + 2397.01891. Round q to four decimal places.
0.0189
Let x = 573128.309866 - 573027.31. Let j = -101 + x. What is j rounded to five dps?
-0.00013
Let u = -10.2 - 4.8. Let v = 17.3 + u. What is v rounded to the nearest integer?
2
Let l = 504 - 455.34. What is l rounded to the nearest 10?
50
Let g = -4.7 - 586.3. Let z = -591.381 - g. Let f = z - 0.109. What is f rounded to 1 dp?
-0.5
Let q = 8.6 - 8.13. Let g = 0.47000064 - q. What is g rounded to seven dps?
0.0000006
Let d(f) = 56932*f + 224. Let h be d(18). What is h rounded to the nearest one hundred thousand?
1000000
Let z be 924996 - -7 - (3/(-3) + 4). Round z to the nearest 100000.
900000
Let p = 380 - 4090. Round p to the nearest 1000.
-4000
Let b = -13.8 + 13.80002614. What is b rounded to 6 decimal places?
0.000026
Let u = 0.02166 + -0.0289. What is u rounded to four decimal places?
-0.0072
Let p = -255.9983 + -0.0017. Let q = p + 257.39. Let z = 1.532 - q. What is z rounded to two decimal places?
0.14
Let z = -1108.591 - -1068.59235. Let k = -28 - 12. Let c = z - k. Round c to 4 decimal places.
0.0014
Let d = -187028 - -2142028. Suppose f + 4*v = 6*f + d, f - 4*v + 391000 = 0. What is f rounded to the nearest ten thousand?
-390000
Suppose 0 = 4*c - 0*c - 396736. Suppose 4*b = 4*f + 55955 - 155171, 0 = -4*f - 4*b + c. Round f to the nearest 1000.
25000
Let j = 101 + -55. Let o = 46.086 - j. What is o rounded to 2 dps?
0.09
Suppose 0 = -4*w + w + 6. Suppose -w*p + 6*p - 20 = 0. Suppose 11997 = p*d - v, v = d + 936 - 3333. Round d to the nearest one thousand.
2000
Suppose -7*k + 4*k + 18 = 0. Suppose -k*t + 2*t - n = -17, 3*n - 7 = -t. Suppose 0 = t*d + 234851 + 77149. Round d to the nearest ten thousand.
-80000
Let a(f) = f + 5. Let h be a(-5). Let p(q) = h + 0 - 1 - 3 + 217499*q. Let g be p(-4). What is g rounded to the nearest 100000?
-900000
Let u = 6.6 + 0.9. Let h = u + -7.5000043. What is h rounded to six decimal places?
-0.000004
Suppose -89*l = -91*l - 348. Round l to the nearest ten.
-170
Let m be 2/(-3)*(-51)/(-34). Let k = m + -5. Let z be ((-45)/k)/((-1)/(-420000)). Round z to the nearest 100000.
3200000
Let t be -3 + (2 - (-1 + -2 + -775998)). What is t rounded to the nearest 100000?
800000
Suppose 4490 = -30*l - 4720. Round l to the nearest 100.
-300
Let t = 204 + -124. Let i = t - 80.0000006. What is i rounded to 7 dps?
-0.0000006
Let k = -7538231 - -38038231. Round k to the nearest one million.
31000000
Let b be 60/14 - 10/35. Suppose 0*d - 2*d = -b*s - 61999994, 4*s + 61999997 = d. Round s to the nearest 1000000.
-16000000
Let g = 260 + -259.999999183. Round g to 7 decimal places.
0.0000008
Let p = 4047544.6 + -222560310.6. Let r = p + 218512694.9999891. Let t = -71 - r. What is t rounded to 6 dps?
0.000011
Suppose -5*j = -j. Suppose 5*c - 3*a - 5 + 2 = j, 24 = 4*c + 3*a. Let n be -200005 + c - (-1 + -1). What is n rounded to the nearest 100000?
-200000
Let u = -4014 + 4014.1821. What is u rounded to 2 dps?
0.18
Let j = -74 + 177. Let r = j + -103.00000064. What is r rounded to 7 decimal places?
-0.0000006
Let m = -0.216 + 2.356. Let r = m - 4.52. Let a = r - -2.9. Round a to 1 decimal place.
0.5
Suppose j - 31 = -7. Let h = j - 9. What is h rounded to the nearest 10?
20
Let v = -36.9 - -37.01. What is v rounded to 1 decimal place?
0.1
Let j = 40.67 + 0.33. Let c = j - 25. Let b = c - 15.985. Round b to 3 dps.
0.015
Let h be 2/10 + (-152)/(-40). Suppose j = h*j - 9. Let p be j/(-2)*(-2080)/6. What is p rounded to the nearest 100?
500
Let q be ((-153)/24)/(-17) + (-2251)/8. What is q rounded to the nearest one hundred?
-300
Let l = 1.31 - -6.54. What is l rounded to the nearest integer?
8
Let w = 72 - -178. Let z = w - 250.0000484. What is z rounded to 5 dps?
-0.00005
Let v = -1679 + 1678.84675. What is v rounded to two decimal places?
-0.15
Let b be -1 + 75606 - 2 - 318/106. Round b to the nearest 10000.
80000
Let o = -52077 + 52043.643. Let g = 0.143 - o. Round g to zero dps.
34
Let c = -11 - 10. Let w = c + 21.33. Round w to one dp.
0.3
Let i be 24*20/480 + 12496/1. What is i rounded to the nearest one thousand?
12000
Let m = 8357 - 8348.597. Let p = m + -0.003. Let t = -7.89 + p. Round t to one decimal place.
0.5
Let a = -1750.1 - -1750.1010771. What is a rounded to 4 dps?
0.0011
Let z(h) = -49*h**3 - h - 10. Let t be z(-1 | {
"pile_set_name": "DM Mathematics"
} |
-3 - (-237)/r composite?
False
Suppose 7*p + 279 - 216 = 0. Let n(q) = -42*q + 7 + 9 + 3. Is n(p) a prime number?
True
Let p(h) = 3*h**2 + 10*h + 9. Let y be (-21)/(-12) + -2 - 46/8. Is p(y) composite?
True
Suppose -6*v = -16*v + 6890. Is v composite?
True
Suppose -g = 4*t + 2*g - 168, 3*t + 5*g = 137. Let i = -3 - -27. Let d = t - i. Is d composite?
True
Let o(p) = 7*p**3 - 4*p**2 - 2*p + 2. Let a = -23 + 11. Let i = -9 - a. Is o(i) composite?
False
Suppose 30330 = r + c, -2*c + 0*c + 30325 = r. Is r composite?
True
Let m be (34/(-4))/(-1 - (-1)/2). Suppose m*n - 1269 = 1009. Is n prime?
False
Suppose 0 = 2*c - 9 + 23. Let g = 978 - c. Is g composite?
True
Let b(j) be the third derivative of 3*j**5/20 - 5*j**4/24 + 7*j**3/2 + j**2. Is b(7) a prime number?
False
Suppose 41*f - 720 = 4897. Suppose 0 = 4*r - 3*y - 1119, 2*y + 771 - 213 = 2*r. Let p = f + r. Is p a prime number?
True
Let x = -20 + -10. Let l = x - -45. Is ((-10)/l)/((-2)/66) prime?
False
Is (4373970/12)/((-65)/(-26)) prime?
True
Let t(n) be the first derivative of 88*n**3/3 + 8*n**2 + 7*n + 5. Is t(6) prime?
True
Let p = 14243 + -9324. Is p a prime number?
True
Let o = 14571 - 6018. Is o composite?
True
Suppose 2326 = 17*m - 15*m. Let s = m - 276. Is s composite?
False
Let f be (-3)/(-6)*(4 + -2). Let k(g) = 22*g + 2 - 21*g + 0*g**2 + f + 2*g**2. Is k(-4) a prime number?
True
Let o = -9562 + 13973. Is o a prime number?
False
Let r = 6624 - 2911. Is r a composite number?
True
Let f be (-32670)/50 + (-2)/(-5). Let i = 1125 + f. Suppose -4*r + 4*x = -i, -3*x + 599 = 5*r + x. Is r a prime number?
False
Let j = 19 - 13. Let o = -10 + 6. Is (-118)/o*(-4 + j) a composite number?
False
Suppose -3*t + 1297 = 3*m - m, -m - 4*t + 661 = 0. Is m prime?
True
Let u be (-1 + 2)*81/9. Is (-3)/((-108)/17524) - (-2)/u a prime number?
True
Let m = -313 - 6906. Let t = -5103 - m. Suppose -5*d + t = -d. Is d composite?
True
Let v(h) = h**2 - h + 1. Let t be v(-3). Let f(d) = t + 4 + 0 - d**2 + 13*d. Is f(14) prime?
True
Let l(g) = -g**3 - 5*g - 18. Let w be l(-14). Let i = w + -1700. Suppose 303 = t - i. Is t a composite number?
False
Let o = -1 + 3. Suppose 0 = -h + 6*h - 25, -o*r - 4*h = -30. Suppose -3370 = -r*m - 3*j, 5*j = m - 518 - 184. Is m a composite number?
False
Let u(x) = 27*x**3 + 5*x**2 + 12*x - 3. Is u(7) prime?
True
Let y = -5788 - -9387. Is y a prime number?
False
Let v(u) be the first derivative of 215*u**3 - u + 4. Let m be v(1). Let i = -327 + m. Is i composite?
False
Let w(n) = n + 6. Let v be w(-3). Suppose h = -b - 2, 0 = 5*h + v*b - 2*b + 2. Suppose 0*p + x = 2*p - 104, p + x - 55 = h. Is p prime?
True
Let i(t) = 173*t**2 - 4*t + 5. Suppose 4*b + 6 = 2. Let n be (-20)/(-8) - b/(-2). Is i(n) a composite number?
True
Let c(n) be the third derivative of n**5/60 + n**4/8 - 5*n**2. Let p be c(-4). Is (2/p)/(4/1016) a composite number?
False
Is 4034*(7 + -7 + 1) composite?
True
Let a(x) = -x**2 + 10*x + 15. Suppose 2*r + w = 23, 5*r = r - 3*w + 47. Let c be a(r). Is (-50)/(-15)*222/c prime?
False
Let f = 32052 - 18799. Is f composite?
True
Suppose -61636 = -5*q + 2*z + 5*z, 12 = -4*z. Is q prime?
True
Suppose c = -3*t + 6*c + 28, -4*t + 4*c + 32 = 0. Suppose -142 = -t*g + 4*g. Let b = g + -40. Is b a prime number?
True
Let o = 2895 - 1700. Is o a prime number?
False
Let k = 565 - 374. Is k prime?
True
Let l = -88 - -85. Is 492 - (-4)/(-12)*l a composite number?
True
Let j be (-6)/9*(-51)/2. Suppose 0 = -5*g - 4*z + 433, -j = 5*z - 2. Is g composite?
False
Suppose 7*g = 2*g - 4*f + 6843, 4*g - 5462 = 3*f. Is g composite?
False
Let s be (-4)/14 + (-27)/(-21). Let q(k) = 76*k**2 + 3*k - 2. Is q(s) a composite number?
True
Suppose -2043 - 12736 = -3*o - 5*l, -5*l = o - 4943. Is o composite?
True
Let a = -132 - -136. Is 165740/100 + a/(-10) a composite number?
False
Let r(x) = -3*x**3 + 11*x**2 + 10*x - 26. Is r(-9) a prime number?
False
Let q(j) = 12842*j - 189. Is q(2) a prime number?
False
Let t be (-2)/2*(-4 + 1). Suppose 4*h + 2*o - 152 = t*o, 3*o = h - 49. Is h a prime number?
True
Let y be (-3 + 3 - 0)*1. Suppose y = -3*a + 8*a. Suppose g = -b + 145, a*g + 4*g = b - 165. Is b a prime number?
True
Suppose 0*o + 8 = 4*o. Suppose -3*s - z + 173 = -5*z, -279 = -5*s + o*z. Is s a prime number?
False
Let z be -3*(-421)/6*2. Suppose -2*m + 1689 = -z. Suppose 1 = -i, -4*s - 5*i + m = -0*s. Is s prime?
False
Suppose -2*z = -5*s - 4*z + 16, -14 = -s + 5*z. Suppose -l + 0*l = -s*v - 1353, 4*v - 6813 = -5*l. Is l prime?
True
Is 71*30 - 3 - (-10)/5 a prime number?
True
Suppose 9224 = 2*f + 1960. Let u = f + -1579. Is u composite?
False
Let g be ((-344)/(-5))/(68/170). Suppose -185 - g = -3*v. Is v prime?
False
Suppose 0 = -4*d - 5*s + 9228, 2*d - 6*d + 9228 = -2*s. Let k = d + -638. Is k a composite number?
False
Let a be 18*((-36)/(-8) - 4). Suppose -a*h + 11460 = -5*h. Is h/(-60)*4/(-1) prime?
True
Suppose -3716 = -5*t + 4*z + 3287, -4*t - 2*z + 5592 = 0. Is t a composite number?
False
Let l be 4*21 + (8 - 7). Suppose 5*w = 4*z + l, -w - 3*z = -3*w + 41. Suppose -2*q - 31 = -c, -106 = -3*c + 2*q - w. Is c a composite number?
False
Let z(n) = -61*n**2 - 5*n + 4. Let l(j) = j + 1. Let p(x) = -l(x) - z(x). Is p(2) a prime number?
False
Is (408/(-36) - -12)/(4/121362) composite?
True
Suppose -2*d = g - 25809, 126*d - 121*d - 103251 = -4*g. Is g composite?
False
Let x = 100131 - 44162. Is x composite?
True
Suppose 5*g + 4*g = 36. Is 1796 - (-4)/(g/5) prime?
True
Suppose 0 = -3*p + 12226 + 15293. Is p prime?
True
Let h = 698 - 134. Suppose 2*z - 165 = -3*m, 5*m - z = 296 - 21. Let w = h - m. Is w a prime number?
True
Let s = 191 + 598. Is s prime?
False
Let u(n) = -27*n**2 - 43*n - 11. Let j(x) = 14*x**2 + 21*x + 5. Let h(z) = 7*j(z) + 3*u(z). Is h(5) a composite number?
True
Let u = -1752 - 97. Let c = -1080 - u. Is c prime?
True
Let r = -33 + 20. Let n = 25 + r. Suppose 0 = -s - 3*j + 10, 2*s - 20 = -2*j + n. Is s composite?
False
Suppose -2*y - 46 = 4*h, 4*y + 5*h = h - 72. Let s be (-11 - y)*(-78)/(-4). Is 37173/s + (-2)/13 prime?
True
Suppose 31*w - 371672 = -25*w. Is w a prime number?
True
Is (-24)/54 + (-3777914)/(-126) composite?
False
Let x(c) = 7*c**2 - 4*c - 1. Let v = 37 - 13. Let g = -20 + v. Is x(g) prime?
False
Suppose 0*m + 112458 = 6*m. Is m a composite number?
False
Let k(f) = 2*f**2 - 26*f + 114. Is k(-22) composite?
True
Let q(b) = b**3 + 16*b**2 + 2*b - 7. Let d be q(-11). Suppose 11*g - 6*g = 2*l - d, -2 = -g. Is l a prime number?
True
Let r = -5198 + 13369. Is r composite?
False
Suppose -3*f + 1815 = -2*s + 69, f = 3*s + 575. Let m(r) = -251*r + 4. Let i be m(1). Let w = i + f. Is w a prime number?
True
Let c(b) = -b**3 - 35*b**2 + 85*b + 18. Is c(-39) a prime number?
False
Let r(b) = -1650*b + 578. Is r(-10) a prime number?
False
Suppose 0 = -12*h + 7*h - 5*t + 17755, -3*h + 4*t + 10625 = 0. Is h prime?
True
Let x(o) = -o**3 + 47*o**2 - 62*o - 93. Is x(41) prime?
True
Let k(v) = -v**3 + 6*v**2 - 5*v + 9. Let z be k(5). Suppose -3*n = -z, 3*n = -w + 54 + 206. Is w a prime number?
True
Suppose y + 84 = 2*i, -2*y = 2*y - 4*i + 348. Let u = y - -291. Is u composite?
True
Let c(u) = u**3 - 8*u**2 - 9*u. Let i be c(9). Suppose i = b + 253 + 41. Is -1 - (b + 0/(-2)) prime?
True
Suppose 14*m = -3*b + 16*m + 7977, 0 = -2*b - m + 5311. Is b composite?
False
Suppose -2*r = x - 17, 19 + 2 = 2*r + 5*x. Suppose -110 = -r*m + 546. Is m composite?
True
Is (-5 - -10) + 930 + 2 composite?
False
Suppose -3*c - 3292 = -g + 2*c, g + 2*c - 3299 = 0. Let v = -2270 + g. Is v a prime number?
False
Let i(u) = 1539*u - 698. Is i(5) composite?
False
Is (-216148)/8*2*(-9 - -8) a prime number?
True
Let o(l) = 4*l**3 + 47*l**2 - l - 2. Let f(d) = 3*d**3 + 31*d**2 - d - 1. Let w(s) = -7*f(s) + 5*o(s). Is w(14) a composite number?
False
Suppose -2*n = -5*n - 6. Is (1/n)/((-3)/726) a prime number?
False
Suppose -7*v = -39 - 38. Suppose -5*k + v*k = 3930. Is k a prime number?
False
Is (-1075319)/(-112) + (-3)/48 a composite number?
False
Let b = 397 + -26. Is b a composite number?
True
Let k = -68 - -72. Suppose -k*d - 1411 = -4487. Is d composite?
False
Suppose p - 1736 = -4*w - w, -6 = -3*w. Is p a composite number?
True
Let m = 165692 + -109123. Is m prime?
True
Let w = 23 - -661. Suppose 5*k + 4*p - | {
"pile_set_name": "DM Mathematics"
} |
-5
Let t = 23 + -22. Put t, -4, -2 in descending order.
t, -2, -4
Let r be 0 + (0 - (1 - 4)). Let a be -3 + (-100)/(-35) + (-81)/21. Put r, 5, a in decreasing order.
5, r, a
Let f(o) = -6*o + 134. Let r be f(21). Sort r, -3, -10 in descending order.
r, -3, -10
Let h(i) = -i - 7. Let n be h(-7). Put n, 3, 2 in increasing order.
n, 2, 3
Let b = -23 + 18. Put b, 5, 1, -0.5 in ascending order.
b, -0.5, 1, 5
Let b = 9 - 10. Sort -2, 19, b in ascending order.
-2, b, 19
Let w = -10 - -9.9. Let v = w + 0.3. Sort v, -0.1, 1/9.
-0.1, 1/9, v
Let u be 3*(-14)/6 - 1. Put 1/8, u, 2/3, -2 in decreasing order.
2/3, 1/8, -2, u
Let t = 4 + 0. Let u(w) = -w**2 - 9*w - 19. Let k be u(-5). Sort t, k, -1 in ascending order.
-1, k, t
Let u = -1.2 + 2.2. Put 2, u, 4 in increasing order.
u, 2, 4
Let o = -0.15 - -0.12. Let m = 0.07 - o. Sort m, -2, -3 in descending order.
m, -2, -3
Let g = 98/3 + -32. Let c = -0.99 + 1.99. Put c, -0.3, g in increasing order.
-0.3, g, c
Let r(u) = -u**3 - 6*u**2 + 5*u - 5. Let x be r(-7). Let j(v) = -v + 6. Let k be j(x). Sort 0, 5, k.
k, 0, 5
Let a be -2*3/2 - 6. Put 4, -3, a in descending order.
4, -3, a
Let n = 33/2 + -63/4. Put n, 6/7, -1/7 in descending order.
6/7, n, -1/7
Let t = 7 + 0. Suppose 5 - 1 = 2*w. Put t, w, -1 in descending order.
t, w, -1
Let i = -3 + 3. Sort i, -5, 5 in descending order.
5, i, -5
Suppose 0 = -2*k - 4, 3*l + 17 = 8*l - k. Let j(a) = a**3 - 5*a**2 + 4*a + 1. Let q be j(l). Sort 3, -4, q.
q, -4, 3
Let b = 12 - -22. Put 2, 4, b in decreasing order.
b, 4, 2
Suppose -3*s = 2*s. Suppose 5*h - 22 + 7 = s. Sort h, 2, 5 in decreasing order.
5, h, 2
Let l(d) = 3*d**2 + 11*d - 9. Let y(b) = -5*b**2 - 22*b + 18. Let c(w) = 7*l(w) + 4*y(w). Let s be c(10). Put -2, -3, s in ascending order.
-3, -2, s
Suppose 6*h + 8 = 2*h + 4*i, 5*h + 4*i - 35 = 0. Sort 4, -2, -5, h in decreasing order.
4, h, -2, -5
Suppose -i - 1 = 4. Let o = 0.3 + -0.3. Put i, o, 2 in descending order.
2, o, i
Suppose 26 = 2*a + 24. Put -6, 6, a, 4 in decreasing order.
6, 4, a, -6
Let r = -32/9 + 10/3. Let f(k) = k**2 + 3. Let s be f(0). Let n = 3 - 6. Put s, n, r in descending order.
s, r, n
Suppose 0 = -h + 6. Let z be (-6)/15*(-15)/h. Put z, 5, -2 in ascending order.
-2, z, 5
Let s = -119 - -124. Let p(h) = -2*h - 3. Let t be p(-3). Put 0.4, s, t in descending order.
s, t, 0.4
Let c(j) = -j - 2. Let u be c(-3). Let z = 1 + u. Let a be 1/((-14)/49 - (-9)/(-42)). Put -3, z, a in decreasing order.
z, a, -3
Suppose 0 = m + 3*m + 20. Sort 5, -11, m in increasing order.
-11, m, 5
Suppose 0 = 3*w + 9. Suppose 0 + 10 = 5*l. Sort l, w, 3.
w, l, 3
Suppose -5*q = -72 + 27. Let c be q/(-24)*(-4)/9. Put -4, -0.5, c in increasing order.
-4, -0.5, c
Suppose 2*m - 6 = 2*t - m, -6 = 2*t - 2*m. Let k = t + 2. Let r be (-9)/(-6)*1/(-3). Put r, k, 0 in descending order.
0, r, k
Suppose -2*i = -2*z - 6*i + 26, 3*z = 3*i + 3. Let a be (2/(-3))/((-14)/(-105)). Sort z, -7, a in decreasing order.
z, a, -7
Let c = -44.3 + 44. Sort c, -1/4, 2 in ascending order.
c, -1/4, 2
Let q = -1.8 + 0.8. Put 2/15, q, 4 in ascending order.
q, 2/15, 4
Let w = 2 - 5. Let r = -10 + 6. Suppose 2*c + 3*c - 10 = 0, -f + 5*c = 7. Put r, w, f in ascending order.
r, w, f
Let n = 6.55 - -0.15. Let a = 0.04 + -7.04. Let j = n + a. Put 0, j, 0.4 in decreasing order.
0.4, 0, j
Let a = 0.03 + 5.97. Let o = a - 3. Sort o, 0.3, -0.2 in descending order.
o, 0.3, -0.2
Suppose 3*a - 5 = -4*o, 0 = -10*a + 5*a - o + 31. Put 5, a, -5 in increasing order.
-5, 5, a
Let n = 0.38 + 0.02. Let w(b) = b**3 + 7*b**2 + 6*b + 2. Let k be w(-6). Sort n, k, -0.5.
-0.5, n, k
Let b be (-1 + -7)*(-27)/(-36). Let v = 7 + b. Let c(m) = -m + 5. Let z be c(5). Put -1, v, z in ascending order.
-1, z, v
Let w = 10.16 - 0.16. Let q = w - 8. Let k = q + -1.8. Sort 5/2, -4, k in decreasing order.
5/2, k, -4
Let s be -2 - ((-3)/(-3) + -2) - 1. Put -3, -4, s, 3 in decreasing order.
3, s, -3, -4
Let p(u) = -4*u - 1. Let o be p(-1). Let b be (-12)/(-2 + -2) - 4. Put o, -2, b in ascending order.
-2, b, o
Let a = -0.31 + 0.18. Let i = 0.03 + -0.1. Let r = i + a. Put -5, 0.4, r in decreasing order.
0.4, r, -5
Let r = 54 + -57. Put -1, r, -0.4, -1/2 in ascending order.
r, -1, -1/2, -0.4
Suppose 5*q - 4*i = 2*q + 31, 5*i + 45 = 5*q. Sort q, 0.4, 1/30 in decreasing order.
q, 0.4, 1/30
Let s = 5492/15 - 366. Sort -0.3, -1/15, 0.5, s in increasing order.
-0.3, -1/15, s, 0.5
Suppose 52 = 3*c + 4. Let l be -2 - (1 + c/(-2)). Let n = -10/19 + -37/38. Put n, l, -2 in decreasing order.
l, n, -2
Let w(r) = -r**2 + 7*r - 4. Let x be (-136)/(-22) - 14/77. Suppose x + 0 = m. Let u be w(m). Sort u, 4, -1.
-1, u, 4
Let a = 12 - 16. Let r = 3.3 - 0.3. Let t = -3.5 + r. Sort t, -5, a in descending order.
t, a, -5
Let v(w) = -w**3 - 6*w**2 - 4*w. Let z be v(-5). Sort 3, 0.2, z.
z, 0.2, 3
Suppose -6 = i + 2*q + 2, 5*q = -10. Let c(a) = a**2 - 2*a + 2. Let s be c(2). Sort s, -2, i in descending order.
s, -2, i
Let q(s) = s**2 - 12*s + 12. Let t be -3*(-5)/((-15)/(-9)). Let m be q(t). Let d be 6/m - 64/(-110). Put d, -2, 2 in descending order.
2, d, -2
Let r be 2/(-1 - 1)*-5. Let l = 0.42 + -0.02. Let x(g) = g**3 + 5*g**2 - 5. Let d be x(-5). Sort r, d, l in decreasing order.
r, l, d
Let i(o) = -2*o**2 - 5*o + 4. Let z be i(-3). Sort -1, -6, z.
-6, -1, z
Let z = 7/20 + 3/20. Let u(n) = 4*n - 7. Let h be u(3). Sort h, z, 2.
z, 2, h
Let l(t) = t**3 + 10*t**2 + t + 11. Let u be l(-10). Let g(b) = b + 1. Let j be g(3). Put j, u, -4 in decreasing order.
j, u, -4
Let g = -5 - -7. Suppose -1 = 2*t - h, 5*h = -g*t + 2*h - 21. Let j be (2/(-18))/(8/(-12)). Put -0.5, j, t in descending order.
j, -0.5, t
Let k = -0.11 - -0.03. Let n = -4.08 - k. Sort n, -0.2, 1.
n, -0.2, 1
Suppose 2*x = 8, 0 = -0*r - 4*r + 5*x. Sort r, -5, 17 in descending order.
17, r, -5
Let p = -148 + 145. Suppose 0 = -5*g - 3*q - 0*q + 21, 0 = -g - 2*q + 7. Sort -3/2, p, g in increasing order.
p, -3/2, g
Let q be 3 - (-4 - 38/(-5)). Sort -0.5, 0, q.
q, -0.5, 0
Let s = 0.19 + -0.29. Let n = -153/7 - -22. Suppose 4*h + 3*r = -5, 0 + 1 = -h - r. Put s, n, h in descending order.
n, s, h
Let c = -53.3 + 53. Let s = -2 - -2.5. Sort -1, c, s.
-1, c, s
Suppose 2*m + 3 = -m. Sort 1, 5, 6, m.
m, 1, 5, 6
Let a = 2.1 - 2. Put 0, a, -4 in ascending order.
-4, 0, a
Let j = -1 - -2. Suppose 6 = m + 2, 0 = 5*r - 5*m. Put -4, r, j in ascending order.
-4, j, r
Let c = 94 - 98. Sort 1, c, 4, 2.
c, 1, 2, 4
Let b = 3 - 3.2. Suppose 12 = 5*h - 38. Let q = h - 14. Sort -1/2, b, q.
q, -1/2, b
Suppose 0 = 3*w + 7 - 25. Let n be (-1)/(6/4)*w. Sort -2, -3, n.
n, -3, -2
Let z = 0.3 + -1.3. Let p = -0.6 + 0.6. Let s = p - z. Sort s, -4, -0.1 in ascending order.
-4, -0.1, s
Let j = 10 + -6. Suppose 1 = -j*z - 3. Put z, 3, 2 in increasing order.
z, 2, 3
Let u = -42 - -45. Sort -5, u, 0.3 in descending order.
u, 0.3, -5
Let d = -1.29 + 0.29. Let r = -0.8 - 3.2. Let g be (-3)/(-2)*(-5)/(-10). Put d, r, g in ascending order.
r, d, g
Let s = -6 + 6. Let v = 0 + s. Put 1/5, -2/15, v in increasing order.
-2/15, v, 1/5
Let y = 0.06 - -4.94. Sort y, -0.5, 2/11.
-0.5, 2/11, y
Suppose 0 = q + 3*q - n + 7, 4*n - 15 = 3*q. Sort q, -5, -2 in ascending order.
-5, -2, q
Let w(a) = -a**2 + 3*a + 2. Let s be w(3). Let h(c) = 5*c - s - 4*c - 2. Let z be h(2). Sort 4, -3, z in descending order.
4, z, -3
Let p = -4 - 0. Let l = 17 - 9. Let c be (-10)/(-12) - 4/l. Put p, c, 4 in decreasing order.
4, c, p
Suppose 0 = f - 2*f + 10*f. Let s(u) = -u**3 + 2*u**2 + u + 2. Let x be s(3). Put x, 3, f in descending order.
3, f, x
Let p be 12*2/(-8)*-2. Suppose -p*s - 6 = -4*s. Let h = -408 + 408. Put 1, h, s in ascending order.
s, h, 1
Let c be 4/(-6) + (-40)/48. Let j = -0.09 + 5.09. Sort j, 3/4, c in increasing order.
c, 3/4, j
Let m = -6.4 + 1.4. Let a be (-2)/12 - (-6)/(-18). Sort a, m, -3.
m, -3, a
Suppose -2*h - 4*q + 6 = 0, -5*h + q - 2*q = 21. Sort 1, h, 2 in ascending order.
h, 1, 2
Suppose -3*h - 2*h = -5. Sort 4, h, -2 in increasing order.
-2, h, 4
Let o be 0*4/(-12) + 2. Let k be o + (3 - (2 - 1)). Put k, 1, -5 in ascending order.
-5, 1, k
Let g = 0.06 - 4.06. Let d = 4 - 9. Let w = g - d. Sort -4, -0.1, w.
-4, -0.1, w
Let s = 5.4 + 0.6. Let g = s - 8. Let l = -2.2 - g. Put -1/2, l, -1/7 in ascending order.
-1/2, l, -1/7
Let c be 1 - (0 - 27 | {
"pile_set_name": "DM Mathematics"
} |
j**3/3 - 2*j**2 - 4. Let h(a) be the third derivative of u(a). Solve h(z) = 0 for z.
2/5, 1
Suppose 5*k = -5*s + 75, 1 - 16 = -5*k. Suppose -5*h - 14 = 3*l, 6*l + s = 4*l - 4*h. Factor -95*x + 36*x**l - 49*x - 77 + 140 + 129 - 3*x**3.
-3*(x - 4)**3
Let l(o) = -o**4 - o**3 - 6*o. Let j(t) = -48*t**3 - 350*t**2 - 738*t. Let a(b) = j(b) + 2*l(b). Suppose a(p) = 0. What is p?
-15, -5, 0
Let l(p) be the second derivative of 0*p**4 - 1/840*p**6 - 31/6*p**3 - 3/280*p**5 + 0 + 0*p**2 - 25*p. Let a(k) be the second derivative of l(k). Factor a(y).
-3*y*(y + 3)/7
Suppose -4*v + 2*y = 862 + 2872, -3*v - 4*y - 2828 = 0. Let p be (v/10)/((-6)/60*3). Factor -75 - 507*o**2 + p*o + 14 + 13.
-3*(13*o - 4)**2
Let m(k) be the second derivative of -11/30*k**5 - 3*k + 4/9*k**4 + 4/9*k**3 + 1/15*k**6 + 0*k**2 + 1. Solve m(p) = 0.
-1/3, 0, 2
Suppose 8*m + 193 = -23. Let d = m - -27. Factor 65*l**3 - 6*l**4 - 68*l**3 + 3*l**5 + d*l**4 + 6*l**2.
3*l**2*(l - 2)*(l - 1)*(l + 1)
Let k(a) be the third derivative of -a**6/120 - 26*a**5/15 - 745*a**2. Determine t, given that k(t) = 0.
-104, 0
Let n(i) be the first derivative of 2*i**3/3 + 696*i**2 + 1390*i + 2197. Factor n(b).
2*(b + 1)*(b + 695)
Let w(h) = h + 16. Let g be w(-13). Factor -753*p**3 + 30*p - 18*p**2 - 18 + 3*p + 756*p**g.
3*(p - 3)*(p - 2)*(p - 1)
Suppose 2*l + 2*l - 8 = 0, 2*v + l = -2. Let n(q) = 3*q**2 + 4*q. Let p be n(v). Factor 2/3 - 1/3*w**3 - w**2 + 1/3*w + 1/3*w**p.
(w - 2)*(w - 1)*(w + 1)**2/3
Let c = -1254341 - -6271706/5. Let r be (-1 - -2) + (-2)/5. Factor 2/5*b - r*b**2 + c.
-(b - 1)*(3*b + 1)/5
Let o(z) be the first derivative of 66*z**5/5 - 201*z**4/4 + 47*z**3 - 3*z**2 + 5985. Factor o(m).
3*m*(m - 2)*(m - 1)*(22*m - 1)
Let z(w) = -4*w**2 + 887*w - 904. Let a(g) = -3*g**2 + 444*g - 453. Let x(m) = -7*a(m) + 4*z(m). Let x(h) = 0. Calculate h.
-89, 1
Suppose 0 = 15*s - 8*s - 504. Factor 2*k - s - 24*k - 26*k + 22*k**2 - 2*k**3.
-2*(k - 6)**2*(k + 1)
Let v(o) be the first derivative of -1/5*o**5 + 5/4*o**4 - 112 + 0*o + 2*o**2 - 8/3*o**3. Solve v(q) = 0 for q.
0, 1, 2
Suppose 604*g - 864 = 572*g. Suppose g*o - 43*o + 32 = 0. Suppose o*h**3 + 0 + 3/2*h**4 + 1/2*h**2 + 0*h = 0. What is h?
-1, -1/3, 0
Let f be 3/(1*-14 + 30976/2178). Solve f + 3/4*x**2 + 57/4*x = 0.
-18, -1
Let k(q) = 9*q**3 - 45*q**2 - 218*q - 192. Let y(t) = 4*t**3 - 22*t**2 - 110*t - 96. Let g(p) = -6*k(p) + 14*y(p). Factor g(j).
2*(j - 24)*(j + 1)*(j + 4)
Factor 0*z**2 - 49/2*z**3 - 1/2*z**4 + 0*z + 0.
-z**3*(z + 49)/2
Let y(o) be the third derivative of o**5/510 + 91*o**4/102 + 8281*o**3/51 - 4*o**2 + 77*o. Determine k so that y(k) = 0.
-91
Let d(b) = 4*b**2 + 197*b + 809. Let v(j) = -j**2 + j + 3. Let k(r) = -4*d(r) - 20*v(r). Determine u so that k(u) = 0.
-4, 206
Suppose -5*s**5 - 15964*s**3 + 0 + 110*s**4 + 1170*s**2 + 15289*s**3 + 0 = 0. Calculate s.
0, 3, 6, 13
Let x(w) = -11*w**2 + 33*w + 374. Let h(z) = -35*z**2 + 96*z + 1121. Let s(n) = -4*h(n) + 13*x(n). Factor s(a).
-3*(a - 21)*(a + 6)
Find q such that 51656384*q - 3*q**3 + q**3 - 51656384*q + 294*q**2 = 0.
0, 147
Let p(i) be the first derivative of -16*i**5/5 + 129*i**4 + 132*i**3 + 1801. Factor p(v).
-4*v**2*(v - 33)*(4*v + 3)
Let x = 2/191543 - -1149244/1340801. Suppose -x*q**4 + 48/7*q**2 + 0 - 6*q**3 + 0*q = 0. What is q?
-8, 0, 1
Let b(w) be the first derivative of -2*w**5/75 + 19*w**4/15 - 170*w**3/9 + 1156*w**2/15 - 1226. Factor b(k).
-2*k*(k - 17)**2*(k - 4)/15
Suppose -54 = -14*f + 16. Factor -53*u**3 + 23*u**3 + f*u**2 + u - u + 25*u**4.
5*u**2*(u - 1)*(5*u - 1)
Let v = -75/6193 - -99313/18579. Factor 16/3 + 4/3*b**3 - v*b**2 - 4/3*b.
4*(b - 4)*(b - 1)*(b + 1)/3
Let t(d) = -d**3 - 9*d**2 - 23*d - 12. Let s be t(-5). Let 60*p**s - 44*p + 4*p**4 + 92*p**2 + 33*p**3 - 145*p**3 = 0. What is p?
0, 1, 11
Let a(i) be the first derivative of 2/9*i**6 - 11/3*i**4 - 32/3*i - 52/3*i**2 - 116/9*i**3 + 4/15*i**5 - 56. Factor a(r).
4*(r - 4)*(r + 1)**3*(r + 2)/3
Let h(y) be the first derivative of -y**8/175 - y**7/150 + y**6/45 - 6*y**3 - y**2 + 146. Let u(g) be the third derivative of h(g). Factor u(m).
-4*m**2*(3*m - 2)*(4*m + 5)/5
Suppose -2*s + 3*c - 2 = 0, c = -25 + 29. Factor -129*n**4 + 3*n**4 - 91767*n**3 + 3*n**s + 93090*n**3.
3*n**3*(n - 21)**2
Let m(g) = -g**2 + 11*g + 2. Let k(s) = 5*s**2 + 2740*s + 1937656. Let u(r) = k(r) + 4*m(r). Determine p, given that u(p) = 0.
-1392
Let n(m) be the second derivative of -m**7/14 + 39*m**6/10 - 477*m**5/10 - 599*m**4/2 - 1281*m**3/2 - 1323*m**2/2 - 14*m - 27. Factor n(q).
-3*(q - 21)**2*(q + 1)**3
Let w = 356217 + -356215. Let -1/8*v**4 - 1/2 + 1/2*v + 3/8*v**w - 1/4*v**3 = 0. What is v?
-2, 1
Let t = 1/97744 + 3909747/1270672. Factor t*o + 8/13*o**2 + 50/13.
2*(2*o + 5)**2/13
Let w = -38 - -40. Let m be -8*(3 - w - 2). Factor -m*z - 3*z**3 + 23*z**2 - 3*z**2 - 9*z**3 + 0*z**2.
-4*z*(z - 1)*(3*z - 2)
Let w = -49/1412 - -3461/18356. Factor 0 - 12/13*f + w*f**3 - 10/13*f**2.
2*f*(f - 6)*(f + 1)/13
Let q(v) be the second derivative of v**4/12 + 26*v**3/3 + 235*v**2/2 - 1575*v. Factor q(h).
(h + 5)*(h + 47)
Let n(z) be the third derivative of -z**8/40320 - z**7/1440 - z**6/120 - 7*z**5/60 - z**4/24 + 134*z**2. Let d(l) be the third derivative of n(l). Factor d(x).
-(x + 3)*(x + 4)/2
Let o(h) be the first derivative of -3*h**5/25 + 53*h**4/10 - 1003*h**3/15 + 578*h**2/5 + 505. Factor o(s).
-s*(s - 17)**2*(3*s - 4)/5
Suppose -4*z - a = -33, -4*z - 4*a + 21 = -3. Suppose s + z = 11. Determine k so that 4 - 10*k + 2*k**5 + 8*k**3 - 6*k**s - 8*k**4 - 3*k**2 + 13*k**2 = 0.
-1, 1, 2
Let f be (-4)/(-44) + (7 - 1752/396). Find y such that -10/3*y - f*y**2 + 0 + 2/3*y**3 = 0.
-1, 0, 5
Let y(j) be the second derivative of 3*j**6/10 + j**4/12 + 5*j**2/2 + 64*j. Let o(w) = -2*w**4 - w**3 + w**2 - 1. Let a(m) = 5*o(m) + y(m). Factor a(n).
-n**2*(n - 1)*(n + 6)
Factor -2/5*n**2 + 646/5*n - 644/5.
-2*(n - 322)*(n - 1)/5
Suppose -d - t = -134, 2*t - 44 = 4*d - 568. Suppose 5 + 167*i + d*i**2 - 968*i**3 + 14 - 10 + 7 - 23*i = 0. What is i?
-2/11, 1/2
Let c be (-24)/36 + 77/21. Solve 1/2*m**4 - 2*m**2 + 4*m - c*m**3 + 0 + 1/2*m**5 = 0 for m.
-2, 0, 1, 2
Let -142*b - 140*b**2 - 73*b**3 + 217*b**3 - 103*b**5 + 140*b**4 + 27*b**5 + 74*b**5 = 0. Calculate b.
-1, 0, 1, 71
Let v = -63499/11 - -5773. Let u(a) be the second derivative of -1/66*a**4 + 0 + 2*a - 1/11*a**3 + v*a**2. Suppose u(s) = 0. What is s?
-4, 1
Suppose 0 - 2/9*p**5 - 100/9*p**3 + 0*p**2 + 0*p - 34/3*p**4 = 0. Calculate p.
-50, -1, 0
Factor -25*z**2 - z - 31*z + 2*z**4 - 9*z**2 - 28*z**3 - 30*z**2 + 2*z**2.
2*z*(z - 16)*(z + 1)**2
What is g in 0 - 1/4*g**2 + 1/4*g = 0?
0, 1
Let c = 41/15436 - -802467/77180. Factor -c*m - 33/5 + m**2.
(m - 11)*(5*m + 3)/5
Let k = 32/9 - 134/63. Let r = 2753/14 - 391/2. Factor 0 + r*t**2 + 2/7*t**4 - k*t**3 + 0*t.
2*t**2*(t - 4)*(t - 1)/7
Let w(j) be the third derivative of j**6/480 + 73*j**5/240 + 1365*j**2. Factor w(v).
v**2*(v + 73)/4
Find w such that -132*w - 126*w**2 - 127*w**2 + 329*w**2 + 5*w**4 - w**4 + 52*w**3 = 0.
-11, -3, 0, 1
Let g(o) be the second derivative of o**4/12 + 211*o**3/6 + 105*o**2 + 2409*o. Find h, given that g(h) = 0.
-210, -1
Let n = 335 + -81. Let 1 - n*u - 35*u**2 + 72 - 3 + 19*u = 0. What is u?
-7, 2/7
Let i(p) = -43*p - 28 - 26*p + 30*p - 36*p - 50*p**2 - 19*p**3. Let b(r) = -12*r**3 - 33*r**2 - 50*r - 19. Let u(z) = 8*b(z) - 5*i(z). Factor u(w).
-(w + 1)**2*(w + 12)
Let r(v) = 361*v - 18409. Let h be r(51). Find l, given that -4/3 + 0*l + 1/3*l**h = 0.
-2, 2
Factor 10/3 - 7/4*r**2 + 3/2*r + 1/12*r**3.
(r - 20)*(r - 2)*(r + 1)/12
Let c(l) be the first derivative of -8/3*l - 56 - 1/6*l**4 - 32/9*l**2 - 46/27*l**3. Factor c(f).
-2*(f + 1)*(f + 6)*(3*f + 2)/9
Let j(f) = -7*f**4 + 784*f**3 + f**2 - 790*f + 36. Let q(d) = -5*d**4 + 785*d**3 - 790*d + 30. Let s(a) = -5*j(a) + 6*q(a). Factor s(b).
5*b*(b - 1)*(b + 1)*(b + 158)
Suppose 5*j = -10 + 25. Factor -38*m**j + 18*m - 118*m**2 - 10*m - 14*m**4 + 102*m**2.
-2*m*(m + 1)*(m + 2)*(7*m - 2)
Let d(j) = j - 1. Let c(y) be the first derivative of 4*y**3/3 + 42*y**2 + 696*y + 1169. Let o = 28 + -8. Let b(t) = o*d(t) + c(t). Factor b(v).
4*(v + 13)**2
Let n(u) be the first derivative of 2/15*u**3 - 28 + 8/5*u + u**2. What is b in n(b) = 0?
-4, -1
Factor 436*h**2 + 5*h**3 - | {
"pile_set_name": "DM Mathematics"
} |
n = 1 - 2, -5*s - 2*n = -l for s.
1
Let t = 4479 + -4476. Solve 2*j - 2*q = j + 2, -t*q + 4 = 2*j for j.
2
Suppose -81*l - 52 + 401 = 25. Solve 4*k = -4*t + 13 - 9, -k - l*t = -7 for k.
-1
Suppose -2*u = -6*u + 16. Suppose -u = h - 9. Suppose -h*x + 9 = -11. Solve -x*v - 15 = -v, 5*i + v - 5 = 0 for i.
2
Let g(v) = 139*v + 2642. Let s be g(-19). Solve 0 = b - s, 3*b + 5 = -5*w + 28 for w.
4
Suppose 0*x = -3*x. Suppose -k + 9 = l, -165*k = 4*l - 171*k + 54. Solve -2*d - b - 7 = x, 27 = -2*d - 5*b - l for d.
-1
Let g = -13 + 15. Let l be g + 40/16 - (-2)/(-4). Let b = -9 - -13. Solve 3 = -3*i - 0*i, -l*z - 4 = b*i for z.
0
Suppose 19 - 7 = 3*w. Let q = -87 - -103. Suppose -7*u + 43 = 8. Solve -5*g - q = -g + 2*p, u*p = 2*g - w for g.
-3
Suppose -54*r = -19*r - 735. Suppose -r*q = -20*q - 2. Solve 3*v + q*f = 6*v - 5, 0 = v - 5*f + 7 for v.
3
Let z(y) = y. Let d(r) = 3*r. Let n(p) = -d(p) + 2*z(p). Suppose m = 5*g - 18 + 59, -g - 4*m = 25. Let b be n(g). Solve 0*u = -x + u + b, -19 = -x + 3*u for x.
4
Suppose r - 3 + 0 = 0. Suppose -i - 2*l = 2*l - 24, 2*i - 2*l + 2 = 0. Let d be 5 + -6 - (0 - i). Solve -2*q = -3*m - r*q, d*q = -9 for m.
1
Suppose 6*u = 4*q + u - 41, 4*u = 5*q - 58. Suppose 3*a + 8 = q. Suppose -a*w + 16*w = 70. Solve 4*g - w*g + 1 = 0, 5*g = 4*c + 1 for c.
1
Suppose -5*o + 6 = 5*s - 4, s = 5*o + 2. Suppose -s*x = -3*u - 22, u = 4*x - 3*x - 9. Solve -t = 2*t + 2*m + 15, -4*t - x*m = 20 for t.
-5
Let n = 2529 - 2515. Solve -3*b + 17 = -4*q, -5*b = -4*q - 29 + n for q.
-5
Let x = 11 + 7. Suppose -26 - 16 = -7*d. Let b be (d/(x/15))/1. Solve -5*i - 5 = -4*n - n, i - 11 = -b*n for i.
1
Let f(t) = t**3 - 29*t**2 - 23*t + 84. Let p(g) = -g**3 - g. Let a(u) = f(u) + 2*p(u). Let h be a(-28). Solve -k + 15 = 4*v, -2*k - v - v = h for k.
-5
Let g be (0/(24 + -18))/(-1). Solve -6*o - a + 3 + 6 = g, 5*a = -15 for o.
2
Let o(y) = -y**3 + 12*y**2 - 12. Let q be o(5). Let z = q + -160. Solve 4*r - 4*g + g = -12, r + 3 = z*g for r.
-3
Let u(s) = 3*s**2 + 19*s - 5. Let b = 253 - 260. Let p be u(b). Solve -2*h - 4*y - 15 = 3*h, 3*y - p = 3*h for h.
-3
Suppose -5*s - 63 = 4*l - 1707, 3*s + 5*l - 976 = 0. Suppose s = 6*j + 320. Solve -2*y + 2 = -2*a, j*y + y = 2*a - 1 for a.
-4
Let a = 10912 + -10862. Solve -77 + a = 5*o - t, 0 = -5*o + 2*t - 29 for o.
-5
Suppose -4*i + 3 = -5. Suppose 16 - 1 = i*d + 3*c, -5*d - 4*c + 27 = 0. Solve k - d*l = -l - 6, -2*k - 4*l = -4 for k.
-2
Let t be ((-10)/25 - 2/(-5)) + -138. Let f be (4 + t/12)*4/(-10). Solve s - 19 = -4*v, 0*s = 5*s + f*v - 10 for s.
-1
Let u = -358 + 361. Solve d - 7 = b, -3 - 10 = -u*d - b for d.
5
Suppose 227*f - 3360 = -13*f. Solve -32*h + 34*h - 9 = 5*a, -4*a - f = -5*h for a.
-1
Let o(n) = 2*n**3 - 52*n**2 + n - 19. Let v be o(26). Let p(b) = 5*b - 32. Let x be p(v). Solve x*a = 2*d - 4, -a = -2*a + d - 3 for a.
2
Suppose a + 568 = 565. Let c = a - -3. Solve 2*g + 24 = g + 5*l, c = -2*g + l - 12 for g.
-4
Suppose 16 = o + x, 0 = -x + 6 - 9. Solve 4*i = -5*n + 36, 3*i + 3 = -n + o for n.
4
Let y be (-264)/((-12)/1) + -22. Solve 4*l - 25 = u - 16, -3*u + 2*l - 17 = y for u.
-5
Let j be (2 + (-7)/7)*0*(-4)/16. Solve j = 4*a, -2*a - 4 = -2*f + 2 for f.
3
Suppose -130*d + 112*d - 5220 = 0. Let x = d + 292. Solve 5*n - 4 = -2*w - 5, -4*n - x = w for w.
2
Let o = 19275 - 19251. Solve 2*k = 141*f - 142*f - 2, -5*f - o = -4*k for k.
1
Let f = -271 - -276. Let z = 3 - -17. Let i = 500 + -500. Solve -4*r - 8 - 22 = -2*b, i = f*b + r - z for b.
5
Suppose 1 = l - 1. Let h = 2982 - 2978. Solve 0 = -5*x - 2*k + 1, h*k + 1 = -l*x + 11 for x.
-1
Suppose -125 = -5*f - 75. Solve 5*x = -f, 19 = 5*w + 8*x - 10*x for w.
3
Let k(l) = -38*l - 75. Let c be k(-23). Let v = c + -783. Solve 5*y - q + v = -2*q, -5*y - 2*q - 17 = 0 for y.
-3
Let f be (-16 + 15)*2/(-2) - -3. Let v = -126 - -186. Suppose -g + v = 3*g. Solve -2*z = 3*h + g, 4*z + f*h + 20 = -z for z.
0
Suppose 5*j - 5*f - 85 = 0, 4*j - 5*f = 96 - 28. Let u = j + -17. Solve u = 2*d + 5*g - 29, -2*g + 1 + 1 = -4*d for d.
2
Suppose l = -l + 12. Let o be 19 - (-156)/(7 + -19). Suppose -3*k - l = 0, -b + o*k + 22 = k. Solve -2*a - b = -2*y - 2*y, 20 = 5*y for a.
2
Suppose -30 = -a + 5*u, -25 = 11*a - 14*a + 2*u. Solve -2*k - 10 = j, a*k = j + 4*j - 10 for k.
-4
Suppose 9*y + 10 - 91 = 0. Suppose y*i = i. Solve s = -4*u + 5*s - 12, -3*u - 3*s + 9 = i for u.
0
Suppose -132 = 5*c + 4*d, -5*d = 2*c + 21 + 25. Let b be ((-72)/c)/((-51)/(-476)). Solve -2*g - 5*o + b = 0, 3*g - 2*o = -1 - 1 for g.
2
Suppose 2*y + 51 = y. Let j = -48 - y. Suppose -j*i - 5*p + 30 + 2 = 0, 4*p + 4 = 5*i. Solve 8 - 22 = -2*c + 3*k, -i*k - 4 = c for c.
4
Let d(w) = 36*w**2 + 1186*w - 64. Let u be d(-33). Solve 4 = 5*h - 4*x + 14, -h - 2*x - u = 0 for h.
-2
Let j(c) = c**3 + 5*c**2 + 6*c + 80. Let s be j(-6). Suppose 0 = 3*x + 2*i - 15, 4*i - 27 = -s*x + 3*x. Solve 3*v = -x*n - 9, -2*n - 4 = 4*v - v for v.
2
Let x(t) = t**2 - 119*t - 1418. Let v be x(-11). Solve -3*j + 3 = -3*a, 4*a - v*j + 44 = -16*j for a.
-6
Let v = 8408 - 8401. Solve -5*d + 15 = -2*d + 3*l, 2*d = -l + v for d.
2
Let n be -12*(2 - 78/36). Solve 0 = 2*r - 3*b - 7, r + n*b + 5 = 2*r for r.
-1
Suppose -3*q + 9366 = 9333. Solve u - q = -l + 3*u, 3*u = -3*l + 6 for l.
5
Let w be (-282)/(-35) + 270/(-4725). Solve -484*z = -487*z + 2*b + w, -2*z - 2*b - 8 = 0 for z.
0
Suppose -5*w + 17 = 4*l, 7*w - 8 = -l + 2*w. Suppose -17*y + 21*y + 5*k - 2 = 0, -5*y = k - 13. Solve q + 1 = -z + 2, 0 = y*z - q - l for z.
1
Let f(u) = -u**3 + 10*u**2 + 4*u. Let m be f(9). Let o be m/12*(-24)/(-18). Let a be 7/((-14)/4) - -7. Solve 2*l - s = -2*l - o, -4*l - a*s = 31 for l.
-4
Suppose m = -0*m + 14. Suppose 5*d + 7 - 47 = -2*b, -b = 5*d - 35. Let a be 2*((-48)/(-30) + d/(-10)). Solve 0 = 3*p + 4 + a, -2*p - m = 2*z for z.
-5
Let f = 160 + -139. Suppose 0 = -f*m + 23*m - 4. Solve -4*x + s = -3, m*x + 0*s - s = 3 for x.
0
Suppose -3*g - 3 = 2*y, 3*g - 39 = 6*y - y. Solve -4*j + g*j - 7 = -4*h, -2*j - 5*h + 12 = 0 for j.
1
Let d be -1 - (-7)/42*-6. Let q be d/14 - 1408/(-56). Solve -5*y - 2*m + 4 + 1 = 0, 5*y - 2*m = q for y.
3
Let g(v) = 187*v + 4305. Let l be g(-23). Solve -4*m - 14 = -2*p, l*p = m + 20 + 1 for p.
5
Let q(o) = 502*o - 3008. Let t be q(6). Solve 5*b - 14 = -4*l + 18, -t*b + 3*l = -7 for b.
4
Let w be ((-690)/(-8) - 1) + 14/(-56). Solve 2*b = -5*a - 5, -83*b = -w*b - 10 for a.
1
Let d(v) = 3*v**2 + 230*v + 1212. Let r be d(-71). Solve 0 = 5*g + 4*f - 13, -g + r*g - f = 2 for g.
1
Suppose 3*h + 4*u - 55 = 0, -150*u + 147*u + 35 = 2*h. Solve 0 = -2*z - 5*l - h, -11*z - 20 = -16*z + 4*l for z.
0
Let n = 9663 + -9601. Solve -n*k + 15 = -65*k - 2*y, -5 = k - 5*y for k.
-5
Suppose 9*r + 45 = 4*r. Let f be 0*((-12)/r - 1). Suppose 2*t + 5 - 31 = f. Solve -4*s = -3*y - t, -3*s - y + 16 = 3 for s.
4
Suppose -4*l = -3*v - 45, -5 = 13*l - 15*l - v. Solve -4*j + 14 - l = 4*b, -2*b + 4*j = -22 for b.
5
Suppose -77*l = 81*l + 39*l - 9850. Solve -3*j + 4*v = 2, 5*j = v + 58 - l for j.
2
Let o = 173 - 168. Suppose -3*x = -f - 11, 2*x = 3*f + 2*f + 3. Solve 5*n = o, 5*y = x*n - 13 + 4 for y.
-1
Suppose 63 = 2*b + 53. Suppose -2*d + 5*p + b = 0, 6*d - d - 47 = p. Solve -5*r - d = -2*g, -5*r + 6*g - 2*g = 0 for r.
-4
Let u(q) = 80*q + 165. Let j be u(-2). Solve 2*w - 1 = -4*y + 3, 0 = -5*y - j for w.
4
Let i(h) = h**3 - 14*h**2 - h + 20. Let m be i(14). Suppose -z + 4*f = -8, 4*f - 2*f - m = -2*z. Solve 4*y = n, 3*y = n - z*n for y.
0
Suppose -3*z + 5 = -2*z. Let g be (0 + -1)/(13 - 4184/322). Let j be 38/7 + 69/g. Solve 3*r - 30 = -j*v - 0*v, -2*v + 31 = z*r for v.
3
Suppose 4*j - c - 116 = 0, -5*j - 5*c - 114 = -234. Solve -2*k + 13 = 12*z - 13*z, z = 5*k - j for k.
5
Let o = -2931 - -2936. Solve 2*r - 5*m - 11 = 5*r, -4*m - 1 = o*r for r.
3
Let l(m) = -2*m**2 - 13*m - 27. Let a be l(-5). Let q(i) = -i**3 - 12*i**2 - 7*i - 71. Let w be q(a). Solve -5*z = 4*o + w, -5*z + 6*o - 2*o = 37 for z.
-5
Let l be (-2 + 1)*-1 + (12 - 11). Let x = 3102 + -3100. Solve -2*b = -b - x*c - l, 0 = -b + 4*c + 8 for b.
-4
Let q be ((-216)/40)/(3/(-10)). Let b be 4/q - (-2 - (-264)/(-27)). Solve 5 = 3*a + 2*a + 5*g, -2*g + b = 4*a for a.
5
Let q = 128 - 112. Let x = -270 + 272. Solve -4*y + 4*i = -q, -3*y + i = x*i for y.
1
Let z be -26*21/(-1092)*(-1 - -1). Sol | {
"pile_set_name": "DM Mathematics"
} |
0.244, 86369?
-0.244
What is the second smallest value in -6.3, 4, 0, -771?
-6.3
Which is the third biggest value? (a) 4 (b) -2567 (c) -0.106
b
Which is the fourth biggest value? (a) 17 (b) -92 (c) 5 (d) -3498 (e) 3 (f) -1
f
What is the second smallest value in -3, -2, 24, 1, 9, 0.3, -0.2?
-2
What is the second smallest value in -22, -3.08, -3/50?
-3.08
What is the sixth biggest value in -378/31, 1, 1/2, -1.5, -5, 0?
-378/31
What is the second smallest value in -2, -0.078, 3, -3, 3025, 3/7?
-2
What is the smallest value in 3/2, -14, 456758?
-14
Which is the second biggest value? (a) -7 (b) -30/37019 (c) 1
b
What is the second biggest value in 4, -3, 10649/6, -0.91?
4
Which is the third smallest value? (a) -4 (b) 1/4 (c) 8 (d) 1 (e) 4 (f) -100250
b
What is the third biggest value in 11/10, 7, -1585, 1/6?
1/6
Which is the smallest value? (a) -3/2 (b) -1079636 (c) 4
b
What is the third biggest value in -0.2, 0.0949, -2/7, 1, -163?
-0.2
What is the biggest value in 1817, 13357, -0.2?
13357
Which is the second biggest value? (a) -1/3 (b) -2170 (c) 4173 (d) -2/5 (e) -2
a
Which is the second biggest value? (a) 15 (b) -0.3 (c) 2/15 (d) 0 (e) -2/403 (f) -2/5
c
What is the third smallest value in -1/66, 0.4, 5, 0.2, 2, -2094, 6?
0.2
Which is the smallest value? (a) -112 (b) 1/3 (c) 12 (d) 9 (e) -42
a
Which is the fifth biggest value? (a) -104 (b) -320/13 (c) -3/2 (d) 1 (e) 0.5
a
What is the fourth smallest value in -0.5, -5, -44073, -4, -11, 0.1?
-4
Which is the sixth biggest value? (a) 12.86 (b) -1 (c) 0 (d) 3/13 (e) -0.2 (f) 30
b
Which is the second smallest value? (a) -2 (b) -2/17 (c) -3317 (d) -162 (e) -0.1
d
Which is the second smallest value? (a) -4 (b) 5/2 (c) 578 (d) 4/7 (e) 3/10
e
Which is the third biggest value? (a) 5 (b) -0.011944 (c) -5 (d) -3
d
What is the second biggest value in 5, -1.3, -42, 0.19564?
0.19564
Which is the fourth biggest value? (a) 0.4 (b) 8 (c) -3 (d) -1/8 (e) 3 (f) 62 (g) 133
e
What is the second biggest value in 46, -3084, -2, 1554?
46
Which is the smallest value? (a) -70 (b) -1/2 (c) -2 (d) -0.32 (e) -3/5 (f) -0.2 (g) 67
a
What is the second biggest value in 34, 9166, -40/7?
34
What is the biggest value in 0.2, -0.509, 775, -0.2, -1?
775
Which is the third smallest value? (a) 4/7 (b) -3674772 (c) 2/9
a
Which is the second biggest value? (a) 0.08 (b) 0.46 (c) 1.0764
b
Which is the biggest value? (a) 1/9 (b) 0.0187 (c) -425 (d) 5 (e) -2/3 (f) 10 (g) -2/7
f
What is the biggest value in 0.5, -0.0161, -470.8?
0.5
Which is the second smallest value? (a) -1 (b) 1/9 (c) 51847.39
b
What is the fourth biggest value in 0.414, 17.1, -5/7, -1.1?
-1.1
Which is the third smallest value? (a) 4 (b) 3/17 (c) 0.5 (d) 97 (e) 3 (f) 2/7 (g) -2/11
f
What is the sixth smallest value in 5/21, -5, -54/13, -12, -1, 37?
37
Which is the smallest value? (a) 2 (b) 1/11 (c) -3 (d) 3 (e) 5 (f) 0.4 (g) 11
c
What is the third smallest value in 3/64, -24/7, -151?
3/64
What is the third smallest value in -62, -0.06, 4, -2, -12/5, -1/4?
-2
What is the second smallest value in -7.119, 0.06, 5, 20.3?
0.06
What is the smallest value in 3, 0.45, 2, -1501.1?
-1501.1
What is the smallest value in -189, 3/77399, -4, -1/3?
-189
What is the fourth smallest value in -58, -47, 3, -0.4, -36.15?
-0.4
Which is the third biggest value? (a) -2816 (b) -7 (c) 146
a
Which is the second biggest value? (a) -0.09 (b) -2 (c) -2/15023 (d) -31/6 (e) 6
c
What is the third biggest value in 110, 0.2, -1/5, 215, 0.04, 0.4, -2/3?
0.4
What is the fifth biggest value in -1/2, -19, 0.2, 26, 0.309, 0.39?
-1/2
What is the sixth smallest value in -0.11, 5, 3, -2/17, 0.07, 72/29?
5
What is the sixth biggest value in 1/3, 2/13, 1/2, 1/11, 1/49, -0.03, -2/53?
-0.03
Which is the fourth biggest value? (a) -3 (b) 2 (c) -0.5 (d) -86 (e) 3/10364
a
Which is the fourth biggest value? (a) -1 (b) -2019 (c) 1/4 (d) -534
b
What is the second smallest value in -119, 28, 0.073, 0.12?
0.073
Which is the second biggest value? (a) -0.04 (b) 0.11 (c) -2.9 (d) -53 (e) 4 (f) 2/13 (g) -0.1
f
Which is the biggest value? (a) -5/4 (b) -2.6 (c) 1329 (d) 6
c
Which is the fifth smallest value? (a) -16 (b) -0.5 (c) -4 (d) -31920 (e) 2/17
e
What is the second smallest value in 4, -0.2, 16768, -43, -3, 1?
-3
Which is the biggest value? (a) 5 (b) 0.4 (c) 671/379
a
Which is the second biggest value? (a) -2/9 (b) 4 (c) 0 (d) 2.2 (e) -83 (f) -470
d
What is the fifth biggest value in 0.2, 56, -0.1, 4, 3, 0.08, -9?
0.08
Which is the fifth smallest value? (a) -2 (b) 0.3 (c) 319 (d) -0.0831 (e) -2/17 (f) 2 (g) 2/3
g
What is the seventh biggest value in 55, 5/3, 0.08, 2/9, 1, -0.1, 0.046?
-0.1
What is the third biggest value in 4/5, -0.5, -545, -65, 0.4, 0.5, -3?
0.4
Which is the fourth biggest value? (a) -3/5 (b) -3 (c) 9 (d) 105.77 (e) -2 (f) 1/2 (g) 0.07
g
Which is the third smallest value? (a) 0 (b) -0.15 (c) 0.5 (d) -14.81 (e) 0.4 (f) 0.1
a
Which is the second smallest value? (a) 3/16 (b) 229 (c) 34.45
c
What is the biggest value in -1/2, 2561889, -40?
2561889
Which is the third biggest value? (a) 4 (b) -138/113 (c) -646/5
c
Which is the biggest value? (a) 5 (b) 7.2 (c) 0.2 (d) 0.5 (e) 13
e
Which is the fourth smallest value? (a) -10 (b) 22/23 (c) -2/9 (d) -1 (e) 0.2 (f) 1/4 (g) 1/7
g
What is the fifth biggest value in -0.5, 2, 7, 2/5, 9.7, -10, -16?
-0.5
Which is the second biggest value? (a) -57.1717 (b) 5 (c) -6.1
c
What is the fourth smallest value in -2983485, 2/7, 0.4, 4?
4
What is the sixth smallest value in 0.3, -0.014, -0.2, 4/19, 0, -6?
0.3
What is the fourth biggest value in 0, 151217, -0.3, -15/2?
-15/2
What is the smallest value in -2/5, 192328, 0.091, -0.3?
-2/5
Which is the smallest value? (a) 1/1129 (b) 5 (c) -1 (d) 0 (e) 1/6 (f) -255
f
Which is the second smallest value? (a) -352405 (b) -14/75 (c) -1/8
b
Which is the third smallest value? (a) 5 (b) 2/13 (c) -5/4 (d) -143 (e) -240
c
Which is the fifth biggest value? (a) 16 (b) -0.069 (c) -0.21 (d) 3.8 (e) 3
c
Which is the biggest value? (a) -5 (b) -4 (c) -1986 (d) 0.4 (e) -0.8 (f) -0.04
d
What is the fourth biggest value in -7/15, 2/3, -14.7, -3, -0.4?
-3
Which is the third biggest value? (a) -0.03 (b) -25 (c) -2/5 (d) 1 (e) 32 (f) 0.8 (g) 2/3
f
Which is the fourth smallest value? (a) 1 (b) 0.26 (c) -3 (d) -42/13
a
Which is the seventh smallest value? (a) 63.7 (b) -8 (c) 4 (d) -2 (e) 0 (f) -78 (g) -1
a
Which is the third biggest value? (a) -1/59 (b) -6 (c) -7/38
b
Which is the second smallest value? (a) 4 (b) -2 (c) -287/58
b
Which is the seventh smallest value? (a) -1/26 (b) 1 (c) 64 (d) 0.5 (e) 0 (f) 2 (g) 376/5
g
Which is the fourth smallest value? (a) 2/7 (b) -5 (c) -7/9 (d) 3/5 (e) -526/7 (f) -2
c
What is the fifth smallest value in -2/5, 2/62605, 0.04, -11/15, 4?
4
What is the sixth smallest value in 4/3, -5, -0.045, -4.14, 3, 2?
3
Which is the fifth smallest value? (a) 4 (b) -0.5 (c) 0.3 (d) 2 (e) -7092/19
a
Which is the second biggest value? (a) 1 (b) 0.061735 (c) 4 (d) -4 (e) -5/2 (f) -2
a
Which is the second biggest value? (a) 1/20 (b) -8 (c) -1.253 (d) 1 (e) -0.5 (f) -6 (g) -3
a
What is the biggest value in -43699, -0.4, 1, -1760/7?
1
What is the third smallest value in 0.3, 155, -14/183, -12?
0.3
Which is the second biggest value? (a) -0.4 (b) -0.5 (c) -37 (d) 6 (e) -2 (f) 2 (g) -16
f
Which is the second biggest value? (a) -11 (b) -186.1 (c) -0.4 (d) -5
d
What is the fourth biggest value in -3/7, -0.059, 8, -39038?
-39038
Which is the fifth biggest value? (a) -1.465 (b) 0.2 (c) -0.3 (d) -2.4 (e) -0.06 (f) -1 (g) 5
f
What is the fourth biggest value in 1/3, -5, -1130, -0.355?
-1130
What is the smallest value in -3, -1/25, -7.25, -10?
-10
What is the third biggest value in -4, 2/19, 0.1, -64, 1, -0.3, 1/2?
2/19
What is the smallest value in 5, -2/17, 2028619?
-2/17
What is the second biggest value in -0.0484, 5572/9, -3?
-0.0484
What is the third smallest value in 2, -16/7, -694, 1/3?
1/3
Which is the fourth smallest value? (a) 0.1 (b) -1/6 (c) 1.2 (d) 1 (e) 1 | {
"pile_set_name": "DM Mathematics"
} |
e i(a). What is u rounded to the nearest ten thousand?
20000
Suppose 4*y - 7 - 1 = 0. Let g(i) = 924999*i**2 + 2*i. Let v be g(y). Round v to the nearest one million.
4000000
Let i = -18.076 + -96.129. Let w = 0.205 + i. Let r = 102.7 + w. What is r rounded to the nearest integer?
-11
Suppose 5*c = 2*p - 3644998, 3*p - 1339309 = 3*c + 847688. Round c to the nearest one hundred thousand.
-700000
Let i(v) = -132*v - 4. Let x be i(-4). Suppose -x = 2*z + 2*z. Round z to the nearest ten.
-130
Let w = -120 - -118.325. What is w rounded to one decimal place?
-1.7
Let q = 22.049 + -0.049. Let r = 21.71 - q. What is r rounded to 1 decimal place?
-0.3
Let k = -37 - -136. Suppose 0 = 4*o + 2*v - 21 - k, -2*o + 2*v + 48 = 0. Let h be (o/(-21))/((-2)/(-12000)). Round h to the nearest ten thousand.
-10000
Let v = 32 + -55. Let c = -22.945 - v. Round c to two decimal places.
0.06
Let i = -0.3 + 1.4. Let s = i + -0.1. Let f = s - 1.000056. What is f rounded to five decimal places?
-0.00006
Let y(w) = 97*w**3 - 5*w**2 - 9*w - 15. Let k be y(-12). Suppose 2*c - 192486 = -0*c. Let d = k + c. What is d rounded to the nearest 10000?
-70000
Suppose -2*d - 164054 - 57946 = 0. Round d to the nearest ten thousand.
-110000
Let j = -55957 - -86957. Round j to the nearest ten thousand.
30000
Let c = 0.274 + -0.054. What is c rounded to one decimal place?
0.2
Let t = 128 + -136.3. Let q = t + 60.3. Let i = q + -52.53. Round i to 1 decimal place.
-0.5
Let s = -10650.614 - -10650.0139941. Let k = 0.6 + s. What is k rounded to 6 decimal places?
-0.000006
Suppose -2640 = 3*a + 2*a. Let s = a - -128. What is s rounded to the nearest one thousand?
0
Let u be (-115 + 2 + 0)*-5. Suppose -4*n + 11022 = -5*b, 3331 - u = n + 4*b. Suppose 3*h - n = -128758. Round h to the nearest 10000.
-40000
Let r = -2042830 + 17442830. Round r to the nearest one million.
15000000
Let f(k) = k - 12. Let d be f(12). Suppose d = -3*a - a - 11600000. What is a rounded to the nearest one million?
-3000000
Let f = 0.38 + -0.81. Let p = -0.4 - f. Let x = p + 0.27. Round x to one dp.
0.3
Suppose -2*v = -2*x + 17398, 3*x + x + v = 34801. What is x rounded to the nearest one thousand?
9000
Suppose 4*d + d + 42930 = 0. Let q = 14586 + d. Round q to the nearest 10000.
10000
Let d = 0.863352 - 1.0433575. Let x = d - -0.18. What is x rounded to six dps?
-0.000006
Let v(c) = 1606976*c + 1293025*c - 10 + 11. Let p be v(-1). What is p rounded to the nearest 1000000?
-3000000
Let a(w) = w**2 + 3*w. Let x be a(-3). Suppose -2*r - 10 = x, -3*i + 0*r - 249005 = r. Round i to the nearest ten thousand.
-80000
Let z = -77997999.9999994 - -77997992. Let i = 0.21 + 7.79. Let p = z + i. Round p to 7 dps.
0.0000006
Let v = -63 + 37. Let t = -40 - v. Let u = t - -13.9974. Round u to three dps.
-0.003
Let a = 0.2 + -0.1. Let v = -0.12 + a. Let c = v - -0.37. Round c to 1 dp.
0.4
Let p = 10 - 9.99999933. What is p rounded to 7 decimal places?
0.0000007
Let u be 2/(-7) - 78/21. Let z be 155 - 5/((-10)/u). What is z rounded to the nearest 10?
150
Let p = 0.29 + 18.71. Let k = -71 - -89.964. Let b = k - p. Round b to 2 decimal places.
-0.04
Let n = 4242 + -36183. Let o = n - -31920.841. Let m = 20 + o. Round m to 2 decimal places.
-0.16
Suppose 0 = -s - 26879 + 4979. What is s rounded to the nearest one thousand?
-22000
Let f = 3669798990.69 - 3646670918. Let p = -23128010.68999839 + f. Let o = -62 + p. Round o to 7 dps.
0.0000016
Suppose 5*k + 29 = v + 4, -25 = 4*v + 5*k. Suppose 6*n - n = v. Suppose -3*j - 3 = n, -a + 27 + 23 = 2*j. What is a rounded to the nearest 10?
50
Let u(k) = -30*k**2 + 27*k + 17. Let l be u(19). What is l rounded to the nearest 1000?
-10000
Let k = -10 + 9.3. Let w = -0.6952 - k. What is w rounded to 3 decimal places?
0.005
Let h = -0.153 - -0.15407. Round h to 4 decimal places.
0.0011
Let g(y) = -2*y + 4. Let w be g(0). Let q be w/18 - 14858974/(-117). What is q rounded to the nearest ten thousand?
130000
Suppose w - 708658 = 2*w. Let s = w - -1008658. Round s to the nearest one hundred thousand.
300000
Let c = -2.1 + -0.7. Let u = 2.8000183 + c. Round u to six decimal places.
0.000018
Suppose 3*c - 85 = 212. Suppose c = 2*x - 5*x. Let f = -84 - x. Round f to the nearest 10.
-50
Let j(k) be the second derivative of -k**5/20 - 2*k**4/3 - 5*k**3/3 - 11*k**2/2 + 5*k. Let v be j(-8). What is v rounded to the nearest 10?
70
Suppose 4009889 = -4*b - 3*y - 6830108, 5*y = 3*b + 8130005. Round b to the nearest 100000.
-2700000
Let w(l) = 27004*l. Let t(x) = 1863275*x. Let f(u) = 4*t(u) - 275*w(u). Let j be f(-5). What is j rounded to the nearest ten thousand?
-140000
Let g(k) = 8*k**3 - 11*k**2 - 5. Let q be g(7). What is q rounded to the nearest one thousand?
2000
Let f = 57 + -8. Let j = f - 101. Let u = j - -51.999979. What is u rounded to five decimal places?
-0.00002
Let q be (-37119)/(-27) + 2/9. Let p = -375 + q. What is p rounded to the nearest ten thousand?
0
Let d = 0.046 - 0.03. Let o = 0.055 + d. Let i = o - 0.070961. Round i to five decimal places.
0.00004
Let j(p) = p**3 + 16*p**2 + 18*p - 6. Let c be j(-14). What is c rounded to the nearest ten?
130
Let q = 368089.475 + 3528.425. Let d = q - 371614.900002. Let a = -3 + d. What is a rounded to five decimal places?
0
Let u = 44.96 + -0.96. Let h = 37.32504 + 6.68006. Let t = h - u. What is t rounded to 3 dps?
0.005
Let z = -3 + 5. Suppose 104 = -z*a - 2*i, 9*i = a + 4*i + 70. What is a rounded to the nearest ten?
-60
Let s = 0.03 + -1.63. Round s to zero dps.
-2
Let o = 0.069996 + -0.07. What is o rounded to five dps?
0
Let j = -15.1 - -11.42. Round j to 1 decimal place.
-3.7
Let t = -1519.593 + 1598.45. Let u = -157 + 78. Let i = u + t. Round i to 2 dps.
-0.14
Suppose -205 = -3*a - u + 15, a - 3*u = 70. Let c = 10 - -14. Let r = c - a. Round r to the nearest 10.
-50
Let h = -5.4 - -34.4. Let x = h - -12. Let p = x + -41.0000077. Round p to 6 decimal places.
-0.000008
Let t = 1125938.042169 - -1.957831. Let f = -1125943.000015 + t. Let m = f - -3. What is m rounded to six decimal places?
-0.000015
Let l = -0.04 - 1.06. Round l to zero decimal places.
-1
Let a = -62 - -62.000047. What is a rounded to 5 dps?
0.00005
Let i = -35008.4200028 + 35000.42. Let a = -14 + 6. Let z = i - a. What is z rounded to 6 decimal places?
-0.000003
Let d = -5521337.9000052 - -5521335. Let a = d + 2.9. What is a rounded to 6 decimal places?
-0.000005
Let b = 323 - 322.9999583. What is b rounded to six dps?
0.000042
Let d = 0.08 - 0.15. Let p = 0.1 + d. Round p to two dps.
0.03
Suppose 0 = -y + 6*y - 35000. Round y to the nearest 1000.
7000
Let f = 16.5 - 16.499998322. What is f rounded to seven dps?
0.0000017
Let a = 12309285 - 12309291.521849. Let c = a - -1.121559. Let j = -5.4 - c. Round j to four decimal places.
0.0003
Suppose 0 = 2*j + 3*j - 25. Suppose -2*o + j*o - 6 = 0. Round o to 0 decimal places.
2
Let o = 1429 - 433. Let r = o + 124. What is r rounded to the nearest one hundred?
1100
Let y = 7 - 1. Let g(v) = -1799*v + 10. Let n be g(-10). Suppose 3*a - y*a - n = 0. What is a rounded to the nearest one thousand?
-6000
Let w = -33414382 - -21914382. What is w rounded to the nearest 1000000?
-12000000
Let k = -16 + 23. Let z = 7.61 - k. Round z to one decimal place.
0.6
Let s = -3.518 - -2.38. What is s rounded to 1 decimal place?
-1.1
Let d = -10 + 15. Suppose -d*w - 4200016 = -4*l, -240723 = w - l + 599281. Round w to the nearest one hundred thousand.
-800000
Let f = -69.9974 - -70. What is f rounded to 3 dps?
0.003
Let s = 700.7 - 735. Round s to the nearest integer.
-34
Let c(f) = -26000*f. Let j be c(3). What is j rounded to the nearest ten thousand?
-80000
Let z = 0.16 + 0.08. Let o = z + -18.24. Let t = -18.00000018 - o. What is t rounded to 7 dps?
-0.0000002
Suppose -5*x + 2*t = 30999994, 0 = 2*x - 2*t + 4*t + 12400006. Round x to the nearest 1000000.
-6000000
Suppose -2*i - 33 = -5*l, 2*l + 24 = 6*l - i. Let w(t) = 24*t + 38*t + 18*t. Let f be w(l). What is f rounded to the nearest one hundred?
400
Let v = 117.121 + -117. Let l = -0.589 - v. Round l to one decimal place.
-0.7
Let o(p) be the first derivative of 445*p**3/3 - p**2/2 - 2*p + 4. Suppose r + 3 = 2*r. Let k be o(r). What is k rounded to the nearest one thousand?
4000
Suppose -9*i + 4944 | {
"pile_set_name": "DM Mathematics"
} |
Let i(l) = l**3 + 6*l**2 + 5*l + 7. Let k be i(-5). Let u = k - -3. Calculate the remainder when 29 is divided by u.
9
Let z(i) = -i - 2. Calculate the remainder when z(-12) is divided by 7.
3
Let i be (-1)/(3/(-51*1)). Suppose -g - x + 53 = 0, -4*x = -g - i + 50. Suppose c + 5 = -5*m + 92, c = 3*m - g. Calculate the remainder when m is divided by 5.
2
Suppose -20 = -3*v - 2*v. Suppose -1 - 163 = -v*a. Calculate the remainder when a is divided by 11.
8
Let r(p) = 22*p**3 + p**2 - p + 1. Suppose -y = -3*b + 200, 4*b = -3*y + 2*y + 276. Calculate the remainder when b is divided by r(1).
22
What is the remainder when ((-87)/5)/((-1)/5) is divided by 18?
15
Suppose -36*n - 45 = -39*n. What is the remainder when 104 is divided by n?
14
Suppose 5*y = 2 + 13. Suppose y*q - 30 - 9 = 0. Calculate the remainder when 24 is divided by q.
11
Suppose n + n - 34 = 0. What is the remainder when (-707)/(-21) + 2/(-3) is divided by n?
16
Let o = 8 - -11. Let c = o + -1. Calculate the remainder when 88 is divided by c.
16
Suppose 0 = -3*f + l + 148, 0 = 5*f + 8*l - 11*l - 248. What is the remainder when f is divided by 9?
4
Let i = -51 + 68. What is the remainder when i is divided by 9?
8
Let z = 38 - 27. What is the remainder when 53 is divided by z?
9
Let t = 9 + -6. Let r = 1 - -1. Suppose 20 = 2*v + r*v. Calculate the remainder when v is divided by t.
2
Suppose 0*k - k = 3*u - 10, 2*u - 8 = 0. Let z be k/(-1) - 0/2. Suppose -4*q - 5*a = -a - 44, 3*a = z*q - 27. Calculate the remainder when 22 is divided by q.
10
Suppose -26 = -5*h + 4. Suppose 5*b = -3*g + 2 + h, -10 = -2*g - b. What is the remainder when 11 is divided by g?
5
Suppose 0 = z - 2*z - 4. What is the remainder when 9 is divided by 6/z*(-8)/3?
1
What is the remainder when 89 is divided by (-1 + 3 - 25)/(3 + -4)?
20
Let v = -1 + 0. Let i be 40/(-3)*3/v. Suppose -2*l = 2*l - i. Calculate the remainder when 29 is divided by l.
9
Let o(t) = 29*t**3 - 2*t**2 + 1. Let c(x) = x + 7. Let a be c(-6). Calculate the remainder when o(a) is divided by 10.
8
Let w(q) = 8*q - 2. Let s(o) = 7*o - 1. Let g(p) = 5*s(p) - 4*w(p). Calculate the remainder when g(6) is divided by (-68)/(-6) - (-8)/12.
9
Let f(j) = 2*j - 6. Suppose 4*t + 2 - 10 = 0. Calculate the remainder when f(6) is divided by t.
0
Suppose -4*v = -2*o + 48, -3*v - 36 = -2*o - 3*o. Let y = 17 + v. Suppose -2*g - y = -t, t + 5*g - 40 = -4*t. Calculate the remainder when 12 is divided by t.
5
Suppose 3*m + 84 = 5*o, 5*m - 45 = -5*o + 55. What is the remainder when 89 is divided by o?
17
Suppose 26 = 3*b - 1. Suppose -5*o + 16 + 4 = 0. Suppose -y - y = -o*l - 54, y - 22 = -3*l. What is the remainder when y is divided by b?
7
Let a(h) = h**3 + 4*h**2 + h - 1. Suppose 16 = 2*x + 8. What is the remainder when a(-3) is divided by x?
1
Suppose -5 = 4*s + 4*v - 117, -2*s - 4*v = -56. What is the remainder when 81 is divided by s?
25
Let p = 46 + 159. Suppose -4*m = m - p. What is the remainder when m is divided by 11?
8
Let z = 16 - 19. Let l = 1 - z. Calculate the remainder when 6 is divided by l.
2
Suppose 0 = -8*m + 9*m - 46. What is the remainder when m is divided by 25?
21
Let k = 301 - 254. What is the remainder when k is divided by 24*(0 + 0 + 1)?
23
Let m(v) = 3*v**3 - v**2 - v + 11. Let z(c) = -4*c**3 + c**2 + c - 12. Let t(u) = 3*m(u) + 2*z(u). What is the remainder when t(0) is divided by 6?
3
Let r be 23/(-1 - 12/(-10)). Suppose -4*f + r = -5. Suppose -3*i + j + 17 = -0*j, -5*i + 2*j + f = 0. What is the remainder when i is divided by 2?
0
Let k(w) be the third derivative of -5*w**4/12 + w**3/2 + 2*w**2. Calculate the remainder when k(-4) is divided by 11.
10
Suppose -y + 2 + 22 = c, -3*y - c + 62 = 0. What is the remainder when 92 is divided by y?
16
Let s(g) = -g + 3. Let f be s(10). Calculate the remainder when 27 is divided by f/(0 - (-3)/(-6)).
13
What is the remainder when 139 is divided by ((-12)/(-8))/(-1)*(-140)/6?
34
Let q be (18/(-4))/((-3)/(-6)). Let l = 19 - q. What is the remainder when l is divided by 15?
13
Let g(a) = a**3 + 15*a**2 + 3. Let s(x) = x**2 - x + 2. Calculate the remainder when s(3) is divided by g(-15).
2
Let n = -35 - -49. Let p = -7 + n. Suppose -s + 1 + 3 = 0. What is the remainder when p is divided by s?
3
Let i(u) = u + 9. Let c be i(-6). Suppose -c*w = -43 + 10. Let y = -56 + 88. What is the remainder when y is divided by w?
10
Suppose 4*z - 6*v + v + 3 = 0, 0 = -z + v. Suppose 0*l - 2*x - 14 = -3*l, l - z = x. Calculate the remainder when 29 is divided by l.
5
Suppose -13*x + 24 = -5*x. Suppose 4*o = b - 0*b - 3, -2*b + 9 = -5*o. What is the remainder when b is divided by x?
1
Suppose 0 = z - 3*k - 45 + 4, 0 = 3*k. Let i(a) = 11*a - 1. Calculate the remainder when z is divided by i(2).
20
Suppose -u = -4*u - 4*o + 93, -u - 2*o + 31 = 0. What is the remainder when u is divided by 11?
9
Suppose 0 = 6*s - 2*s. Suppose s = 4*t + 6 + 6. What is the remainder when 31 is divided by 11/(-2)*(t + 1)?
9
Let a(y) = -27*y**3 + y**2 - 1. Suppose 0 = 5*p - 5*j, -p - 3*j = 3*p + 7. Calculate the remainder when a(p) is divided by 14.
13
Suppose -4*l = -12 - 8. Calculate the remainder when (-1 + -37)*((-132)/(-24))/(-11) is divided by l.
4
Let f = 44 + -18. Calculate the remainder when 102 is divided by f.
24
Let r = 25 + -15. Suppose 3*k - 5*i - 3 = -i, 0 = -k - 2*i + 1. What is the remainder when r + (2/(-2) - k) is divided by 5?
3
Suppose -2*d + k + 15 = 0, -7*k - 25 = -2*d - 4*k. Suppose 4*u = s + 35, 0*s + 4*s = -d*u + 28. What is the remainder when u is divided by 5?
3
Suppose b + 4*b = 20. What is the remainder when 13 is divided by b?
1
Let w = 12 + 13. Let q(j) = -j**3 - 5*j**2 + 5*j + 1. What is the remainder when w is divided by q(-6)?
4
Let q(z) = 3*z - 21. What is the remainder when q(17) is divided by 12?
6
Let w be (-10)/3 + 2/(-3). Let p(t) = -6*t - 1. Let n be p(w). Let q = n + -6. What is the remainder when q is divided by 6?
5
Suppose 7*a = 3*a + 8. Suppose 2*m - a*t = 6*m - 124, 0 = 5*m + 2*t - 157. What is the remainder when m is divided by 9?
6
Let t be (-12 - -13) + -4 + 1. What is the remainder when 17 is divided by (1 - -1)/(t/(-4))?
1
Suppose -5*k = 3*j + 4 - 257, 174 = 2*j + 2*k. Let o(h) = 2*h**2 - 7*h - 7. What is the remainder when j is divided by o(6)?
22
Let h(b) = -9*b + 4*b + 4*b**2 - 3*b**2 - 7 + b. What is the remainder when 41 is divided by h(7)?
13
What is the remainder when 16 is divided by 6*(0 - 4)/(-4)?
4
Suppose 4*i - 17 = 147. Let s = 45 + -31. What is the remainder when i is divided by s?
13
Let x(r) = -32*r**3 - 2*r - 1. What is the remainder when 64 is divided by x(-1)?
31
Let o = 34 + -31. What is the remainder when o is divided by 2?
1
Let h(c) = -c**3 - 7*c**2 + 8*c - 6. Let u be h(-8). What is the remainder when (9/u)/(6/(-88)) is divided by 6?
4
Let z(l) = l**2 + 2*l + 2. Let c be z(-3). Suppose -5*v = -c, -3*h = -v + 5*v - 175. Calculate the remainder when h is divided by 15.
12
Let d = -32 - -64. Suppose 2*o + 5 = 3*v, 3*o - v - 3 = -0*v. Suppose 3*y + m - 32 = 0, 4*m = 2*m - o. What is the remainder when d is divided by y?
10
Suppose -4*r + 4 + 4 = 0, -3*v + 190 = -4*r. What is the remainder when v is divided by 102/(-3)*(-1)/2?
15
Let i = 22 - 31. Let g(m) = -2*m - 4. Let u(n) = 2*n**2 - 3*n - 1. What is the remainder when u(-3) is divided by g(i)?
12
What is the remainder when 28 is divided by (40/(-15))/(-1)*6?
12
Let q(u) = -2*u**3 - 4*u**2 + 2*u + 3. Let a = 8 + -12. What is the remainder when q(a) is divided by 15?
14
What is the remainder when 341 is divided by ((-1274)/39)/(4/(-6))?
47
Suppose -4*l = 2*u - 132, 2*l = 3*u + 39 + 43. What is the remainder when l is divided by 19?
16
Let g(q) = -21*q**3 + q**2 + q + 1. What is the remainder when g(-1) is divided by 7?
1
Let a(d) be the third derivative of d**3 - 2*d**2 + 0 + 0*d - 1/60*d**5 - 1/4*d**4. Calculate the remainder when a(-5) is divided by 6.
5
Suppose y - 3 = -2*y. Let r = 3 + -5. What is the remainder when (-4 - -3)*-3 + r is divided by y?
0
Let b(g) = -14*g - 3. Calculate the remainder when 43 is divided by b(-1).
10
Suppose -2*b = -7*b. Suppose b = -2*s + 16 - 6, -3*s + 28 = p. Suppose -p - 3 = -v. What is the remainder when 46 is divided by v?
14
Let c = -12 + 21. Let v = -1 + c. Calculate the rem | {
"pile_set_name": "DM Mathematics"
} |
et s be h(7). Is s equal to i?
False
Let d be (-36)/60 + 1086/(-15). Which is greater: d or 2?
2
Let j(n) = n**3 + 3*n**2 - 4*n - 2. Let z be j(-4). Let k = 0.48 + -0.09. Let d = k - -0.21. Which is smaller: z or d?
z
Let v be (-4)/(0 + 2/(-4)). Suppose -v*s + 3*s = -20. Let q be s/2 + 1 + 1. Which is smaller: q or 7/2?
7/2
Let n = 2.99 - 2.8. Let a = 0.16 - n. Is a smaller than -0.1?
False
Let f = -321 + 326.84. Let x = -0.16 - f. Let l = x - -7. Is 1 smaller than l?
False
Suppose -14 = -18*v + 11*v. Let b(w) = -w + 2. Let l be b(0). Is l <= v?
True
Let d = -6.78 + 7. Let k = d + -0.12. Let s = 0.6 - 0.63. Which is bigger: k or s?
k
Let m be (2 + (-40)/25)/((-321)/45). Which is smaller: 0 or m?
m
Let i = -370 + 382. Are i and 75/7 nonequal?
True
Let a be (30/7)/((-624)/(-42) + -15). Is a at most as big as -29?
True
Let l = 4951 + -212869/43. Let x = l + -92/473. Let w(k) = k**3 + 3*k**2 + k - 1. Let p be w(-2). Which is smaller: p or x?
x
Let b be -4*(-3 + 10)/25298. Is b at most as big as 0?
True
Suppose 0 = -2*b + 1 - 3. Let p be 12/40*-4*(-165)/(-154). Is b smaller than p?
False
Let y be (-16)/(-6)*27/(-18) + -679. Is y >= -682?
False
Suppose -3376 = -2*d + n, 27 = -5*n + 47. Is d > 1689?
True
Let n = -18 + 19. Is n >= 2/323?
True
Let l = -49 - -45. Let v be 2 - ((-2)/l*4 - 1). Let t = 61/495 + 1/99. Which is bigger: t or v?
v
Let k(d) = d**2 + 10*d + d**2 - d**2 + 14 - 3. Let b be k(-8). Suppose 2*c + 3 = -3. Is b at most as big as c?
True
Let q = -7 + 11. Suppose 0 = -0*y + 2*y - q. Suppose 12 = -d + 4*v - v, 21 = -y*d + 3*v. Which is smaller: -2 or d?
d
Let o = 1627 - 2289. Are o and -662 nonequal?
False
Let x = -27.7 - 86.3. Let z = x - -115. Which is smaller: z or -7?
-7
Let o be 5/2*(5 - -1). Let f = o - 16. Which is smaller: f or 4/15?
f
Suppose 2*l + 25 = -3*l. Let g = l + 8. Let a = 35/26 + 2/13. Which is bigger: a or g?
g
Suppose 0 = 5*f - l + 15, 3*f - 10 = -2*f - 4*l. Suppose 0 = -8*j + 3*j + 120. Suppose 3*z = 7*z + j. Which is smaller: f or z?
z
Suppose -3*m + 34 = 5*b, 0 = 5*b - 0*b + 5. Do m and 13 have different values?
False
Let p be 2/5 - 32/55. Let h(y) = -y**2 - 2*y + 2. Let b be h(-3). Let n be (-8 + 9)/(0 + b). Is n greater than p?
False
Let q(b) = -b**2 + 5*b - 2. Let i be q(3). Suppose 0 = -i*x + 3*p + 1, 0*x - p - 15 = -5*x. Suppose -x*n + 7 = 3. Do n and 1/41 have different values?
True
Suppose 2*h = -h. Let c = 4147016/373 + -11118. Is c less than h?
False
Let a = -550.9111 + -0.0889. Which is smaller: a or 1?
a
Suppose 45*j - 46*j + 319 = 3*p, 2*p = 2*j + 202. Is 104 smaller than p?
True
Let h(w) = 0*w**2 + 2*w - 3*w**2 + 0*w + 0*w - 3. Let g be h(1). Let u be (-3)/2*2/1. Which is smaller: g or u?
g
Suppose 4*p - 40 = -4*y, 0 = 5*p + y - 34 - 16. Suppose 0 = -p*n - 13 + 3. Which is greater: n or 2/483?
2/483
Suppose 390 = 9*b - 4*b. Suppose -b = -4*k + 2. Which is bigger: 19 or k?
k
Let p(j) = -j**3 + 11*j**2 - 11*j + 17. Let v be p(10). Let x be ((-10)/3)/((-8)/12). Suppose -s = 4*k + 2, s - x - 3 = k. Which is greater: s or v?
v
Let z = 4/155 - -266/1705. Let k = 6 + -9. Let x = -4 - k. Which is smaller: x or z?
x
Let b be ((-6)/18)/(3/(-558)). Which is greater: b or 61?
b
Let r(i) = -2*i + 2. Let a be r(1). Suppose -3 = -3*t - 2*x - 6, x - 3 = 0. Let y be (2/t)/(2/(-3)). Which is smaller: y or a?
a
Let p be -382 - 33/22*4/(-6). Is -381 >= p?
True
Suppose -b = 2*b + 15. Let a(m) = -m - 4. Let i be a(b). Let n = -0.1 + -8.9. Which is bigger: i or n?
i
Let w(l) = -l**3 + 17*l**2 + 4*l + 17. Let h be w(17). Let z = h - 87. Is 37 < z?
False
Let f = -7.2 - 0.8. Let p = 2 - f. Let c = 1 - p. Which is smaller: c or -2?
c
Suppose 0 = 10*v - 13*v + 15. Let q be 8/(-8) + (-21)/(-3). Is q at most as big as v?
False
Let s be (3*(-3)/(-63))/2. Let i be ((-15)/42)/(-1 + -1). Let u = s + i. Does -6 = u?
False
Let k = -234.278 - -234.9. Is k at most 0?
False
Let m = 0.1 - 0.2. Let g = -4320 - -4321. Which is smaller: m or g?
m
Suppose 28*j - 35 + 7 = 0. Suppose 4*g + 15 + 13 = -3*p, 5*g + 20 = 0. Do j and p have the same value?
False
Let l = -70.59 - -71. Let f = -899 + 898.42. Let a = l + f. Which is bigger: a or 0.1?
0.1
Suppose 0 = -2*s + t - 52, -5*s - 3*t - 50 = 80. Let l be (51/15 + -4)*-20. Let f = l + s. Does f = -14?
True
Let m = -10 + 15. Suppose -3*q - 3*y + 3 = 0, -y = -5*q + 24 + m. Let a be (-12)/(-5)*-1*q. Which is greater: -13 or a?
a
Let c = -2705 + 2760. Is c smaller than -1/4?
False
Let z = 0.05 - 0.029. Let i = -3.979 - z. Which is smaller: -0.2 or i?
i
Let a = 1475 - 769949/522. Is a equal to 1?
False
Let c = 1757 - 8782/5. Is c > -8/203?
True
Suppose 0*v - v = -6. Let p be v/(-12)*(-12)/10. Let h = 4/43 - 63/215. Is h smaller than p?
True
Suppose 39 = -2*h + 4*r - 81, -4*h - 201 = 5*r. Let x = h - -42. Which is smaller: x or -13?
-13
Let s(y) = y**2 - 3*y - 62. Let m be s(-6). Let h(g) = g**2 - 3*g - 5. Let l be h(5). Suppose l*q + 4*f = -0*q - 40, -8 = q - 2*f. Are m and q equal?
True
Let k be 17/((-595)/(-392)) + 1/(-5). Let o be 1 + 19 + -3 - 4. Which is greater: o or k?
o
Suppose 0 = -14*t + 10*t + 52. Are 25 and t equal?
False
Suppose -319 = -5*m + q - 4*q, 0 = -4*q - 8. Suppose 14*g = 15*g + m. Are -65 and g nonequal?
False
Let d = -989 - -990. Is -0.8 < d?
True
Suppose -3 + 28 = 5*f. Let y be f/3 + 0/(-14). Let g be (-3)/((-9)/12) + -2. Which is greater: g or y?
g
Let w be (-663)/(-51) + 1357/(-103). Which is smaller: w or 0?
w
Suppose -4 = -5*x + 16. Suppose -2*g = 2*v - 5*v + 20, -x*g - 8 = 2*v. Let m be (-3)/(-7)*v/(-3). Which is greater: m or -1?
m
Suppose 38*g = 36*g + 1568. Suppose 37*w - g = 44*w. Do -112 and w have the same value?
True
Let g(u) = -3*u + 6. Suppose 0 = -2*r + 3*y + 14, -r - 3*y = -0*r - 7. Suppose -5*w + 13 = c, -r*c - 6 = -4*c. Let v be g(w). Which is bigger: -1 or v?
-1
Let r = 2/3 + -1/3. Let c be 2*(-2)/(2/1). Let m be ((-1)/c)/(7/(-84)). Is m greater than r?
False
Let y be 29/1 + (3 - -1)/(-4). Suppose -y*o = -31*o - 18. Is -32/5 at most as big as o?
True
Let h = -1759 - -952. Is h != -808?
True
Suppose 2*j - 170 = -3*j + 5*t, -3*j + 2*t = -98. Let k be (j/9)/((-1)/(-18)). Let g be (-10)/(-25) - (-21)/k. Which is smaller: 1 or g?
g
Suppose 22*g + 156 = -20. Are -4 and g non-equal?
True
Let y be ((-2)/(-2))/((-46)/(-4)). Suppose 3*l + 27 = 165. Let a = 46 - l. Which is smaller: a or y?
a
Suppose 2*s = -2*x + 726, -4*x = -8*x. Is s > 363?
False
Suppose 0 = 84*z - 82*z - 2. Which is greater: z or -2/2117?
z
Let o = -6523/32665 - 2/6533. Is 46 <= o?
False
Let v = -0.369 + -2.131. Is v smaller than 8?
True
Suppose 0 = 2*h - 19*h - 17. Let y be 5/30*(1 + 1). Which is smaller: y or h?
h
Let r(y) = -y**2 + 2*y - 1. Let o be r(2). Let f(i) = i**3 - 7*i**2 + 3*i - 9. Let s be f(7). Let p be (-1)/(4 + (-52)/s). Which is smaller: p or o?
o
Let b = -15 + 16. Let i = 5 - 3. Let n be (-2)/12 + i + -2. Is n bigger than b?
False
Suppose -3 - 1 = -m. Let h be 2/m + 216/16. Suppose 2*p - 65 + 15 = -4*d, -d - 2*p + 5 = 0. Do h and d have different values?
True
Suppose -4*w + 33 = 9. Suppose -w*s = -5*s - 2. Suppose 0 = 5*t + s + 28. Is -4 greater than t?
True
Suppose -4*u = w + 3*w - 76, -28 = -2*w - 4*u. Suppose -w*i + 27*i = 33. Are i and 0 equal?
False
Let g(z) = z + 3. Let j be g(-4). Let x = -15 - -31. Which is bigger: j or x?
x
Let m = -20 - -20.026. Let r = m + -0.326. Which is smaller: r or 1/4?
r
Let r be 2 + -5*(-132)/2127. Let z = r - -341774/237515. Let n = -10/67 + z. Which is greater: 5 or n?
5
Let r = 12.4 + -6.8. Let a = 6 - r. Let y = 0.8 - 0.6. Which is smaller: y or a?
y
Let x(p) = p**3 + 13*p**2 + p + 17. Suppose -2*m = -k + 3*k + 22, -k - 2*m - 9 = 0. Let j be x(k). Is j less than or equal to 0.3?
False
Let f be 8/(-6) - (-4)/(-6). Let l(i) = -2*i**3 - 8*i**2 + 12*i + 7. Let u be l(-5). Let w = u - f. Do w and 2/9 have the same value?
False
Let w(y) = -4*y**2 + 16*y + 11. Let p be w(8). Which is smaller: -118 or p?
-118
Let g(m) = -m**3 + 9*m**2 - 9*m + 12. Let b be g(8). Suppose -b*z + z = 0. Let t be (-6)/10 + z + 0. Which is smaller: t or 0?
t
Let r be 4/24 - (-370)/300. Which is greater: 1 or r?
r
Suppose a - 4*q = -11, 5*a + 10 = 5*q - 0*q. Let l = 23 - 27. Let i(n) = n**3 + 5*n**2 + 2*n - 7. Let o be i(l). Is o at most a?
True
Suppose -13*u + 85*u = 47016. | {
"pile_set_name": "DM Mathematics"
} |
What is the first derivative of 3*h**2*x - 5*h**2 + h*x**2 + 240*h - 7752*x**2 - 6 wrt x?
3*h**2 + 2*h*x - 15504*x
What is the second derivative of 229*p**2*q**2 - 13*p**2*q - 96*p*q**5 - 50*p*q - 5*q + 1 wrt q?
458*p**2 - 1920*p*q**3
What is the derivative of -3*p*q - 75575*p - 21987*q**2 wrt q?
-3*p - 43974*q
Find the second derivative of 1546820*t**3 + 540568*t wrt t.
9280920*t
What is the second derivative of -199975*o**3*v**3 + o**2*v**3 + 3*o*v**3 + 28*o + 652*v wrt o?
-1199850*o*v**3 + 2*v**3
Find the third derivative of -20290*q**3 - 11056*q**2.
-121740
Find the second derivative of 25946*n**4 + 20743*n.
311352*n**2
Differentiate 60389*s*y**3 - 28810*y**3 with respect to s.
60389*y**3
What is the third derivative of 314049*g**2*j**3 - 8*g**2*j**2 - 2*g*j**2 + 4474*j**2 wrt j?
1884294*g**2
Differentiate 4010942*b*k**3 - 32290*k**3 - 5*k**2 + 7 wrt b.
4010942*k**3
What is the first derivative of 21446*b**3 - 48562 wrt b?
64338*b**2
Find the third derivative of -12*c**3*m**3 - 13481*c**3*m**2 - c**2*m**3 - m**3 - 415905 wrt c.
-72*m**3 - 80886*m**2
Find the second derivative of -20976*y**4 + 32479*y wrt y.
-251712*y**2
Find the first derivative of -2337167*a**4 - 2830589 wrt a.
-9348668*a**3
Find the second derivative of 537093*v**3 - 169*v - 842 wrt v.
3222558*v
Find the second derivative of -649*r**5 - 26*r**4*t - 15*r - 1111*t wrt r.
-12980*r**3 - 312*r**2*t
Find the second derivative of o**3*s - o**3 - 2209*o**2*s + 92*o*s - 2*o - s - 6 wrt o.
6*o*s - 6*o - 4418*s
Find the third derivative of 679685*g**4 + 1222*g**2 + 107*g + 2 wrt g.
16312440*g
Find the first derivative of u**2*v**2 + u**2*v + 88432*u**2 + 487*u*v - 63*v wrt v.
2*u**2*v + u**2 + 487*u - 63
Find the second derivative of 57*b**3*g**2*s + 33*b**3*g - b**3*s - 12*b**2*g*s + 103*b*g**2 + 18*b*g - 58*g**2 wrt g.
114*b**3*s + 206*b - 116
What is the third derivative of -216*q**6 - 425*q**4 + 156016*q**2 + 1 wrt q?
-25920*q**3 - 10200*q
What is the second derivative of -2351679*f**3 - 312*f - 778?
-14110074*f
What is the third derivative of p*x**4 - 7*p*x**3 + p*x**2 - 169*p*x - 2*x**4 + 105*x**3 + x wrt x?
24*p*x - 42*p - 48*x + 630
Differentiate 252*n**2 - 76*n + 1233250 wrt n.
504*n - 76
What is the second derivative of -115049*b**4 - 2*b - 4349?
-1380588*b**2
What is the second derivative of 54693*v**3 - 2*v + 13343?
328158*v
Find the second derivative of 2*p**2*y*z - 1784*p**2*z**2 - p*y**2*z - 53*p*y + 307*y**2*z**2 - 5602*y*z wrt z.
-3568*p**2 + 614*y**2
Find the third derivative of -89*n*r**4 + 573*n*r**2 - 457*r**4 - 73*r**2 wrt r.
-2136*n*r - 10968*r
Find the third derivative of 152*k**3*r**3 - 2*k**3*r**2 - 3797*k**3 - 2*k**2*r**3 - 2197*k**2 wrt k.
912*r**3 - 12*r**2 - 22782
Find the first derivative of 63*z**4 - 1178*z + 138242.
252*z**3 - 1178
Find the third derivative of -53658*k**5 - 2538*k**2 wrt k.
-3219480*k**2
What is the third derivative of -371532*g**3 + 57294*g**2 wrt g?
-2229192
What is the third derivative of -28963*p**3 - 780*p**2 + 4*p + 2?
-173778
Find the third derivative of 6*f**4*u - 1072*f**3*u**2 - 18*f**2*u**2 + f**2 - 125*f*u**2 wrt f.
144*f*u - 6432*u**2
Differentiate 85*a*b*r**2 + 4*a*b*r + a*b + 1295*a*r**2 - 2*b*r - 4 wrt b.
85*a*r**2 + 4*a*r + a - 2*r
Find the second derivative of 9006*d**3 + 738*d - 2.
54036*d
Find the first derivative of 2*l*p**3*v - 4981*l*p**3 + 2*l*p*v - 50*l - 10130*p**2*v wrt v.
2*l*p**3 + 2*l*p - 10130*p**2
Find the third derivative of -g**6 + 130*g**5 - 133*g**3 + g**2 + g - 102560.
-120*g**3 + 7800*g**2 - 798
What is the second derivative of 33*g**3 - 12*g**2*w**2 - g**2*w - g**2 + 108540*g*w**2 wrt g?
198*g - 24*w**2 - 2*w - 2
What is the second derivative of -7*a**2*g**3 - 3*a**2*g + 1898*a**2 - 12812*g**3 wrt g?
-42*a**2*g - 76872*g
What is the first derivative of -4977*j**4 + 49969 wrt j?
-19908*j**3
What is the second derivative of 111331*a**3*r**3 + 161127*a**3*r + a**2*r**3 - 2 wrt r?
667986*a**3*r + 6*a**2*r
Find the third derivative of 4595553*c**3*p - 419147*c**2*p + p wrt c.
27573318*p
Find the second derivative of -4*h**3 + 1061*h**2 - 2*h + 1968 wrt h.
-24*h + 2122
Differentiate -16*y**3 - 106*y**2 - 60*y - 170167.
-48*y**2 - 212*y - 60
What is the derivative of -2882865*t**2 - 2272990 wrt t?
-5765730*t
What is the third derivative of 4*q**6 + 2*q**4 + 1371*q**3 + 4*q**2 - 3094 wrt q?
480*q**3 + 48*q + 8226
Find the first derivative of -82*p**4 + 95*p + 40162 wrt p.
-328*p**3 + 95
What is the second derivative of p**5 + 25*p**3 + 17*p**2 - 104223*p wrt p?
20*p**3 + 150*p + 34
Find the third derivative of -o**2*y**4 - 4*o**2*y**2 + 20*o**2*y - 6569*y**5 - 129*y**2 wrt y.
-24*o**2*y - 394140*y**2
What is the first derivative of -l**2 - 37203*l + 301863 wrt l?
-2*l - 37203
What is the derivative of -3*a*h*v**2 - a*h + 2*a*v**2 - 8*h*v**2 + 125*h*v - 10305*v**2 - v wrt h?
-3*a*v**2 - a - 8*v**2 + 125*v
What is the second derivative of 92948*y**3 + y + 1973 wrt y?
557688*y
What is the second derivative of h**3*l**5 - 550*h**3*l**3 + 2*h**3 + 5*h**2 - 25*h*l + 6*l wrt l?
20*h**3*l**3 - 3300*h**3*l
What is the third derivative of -25*c**3*d**3 - 22*c**3*d + 26*c**2*d**3 - 616*c*d**2 - d**3 wrt d?
-150*c**3 + 156*c**2 - 6
Find the third derivative of 3*d*h**3 - d - 344916*h**3 + 620573*h**2 wrt h.
18*d - 2069496
What is the second derivative of 82977*u**5 + 380*u - 59 wrt u?
1659540*u**3
Differentiate 6*d*j**3 - 2*d*j**2 - 5*d*j - 49616*d - 2*j**3 - 244387 with respect to d.
6*j**3 - 2*j**2 - 5*j - 49616
Differentiate -301168*i**2 + 177708.
-602336*i
Find the second derivative of 22996*n**3*x**2 - 4*n**2*x**2*z**3 - 10*n*x**2 + 2*n*x*z - x**2*z**3 - 58*z**3 - 44*z wrt n.
137976*n*x**2 - 8*x**2*z**3
What is the third derivative of 12*b**2*r**4 - 102*b**2 - 256*b*r**3 + 17765*b*r**2 + 9*r**5 wrt r?
288*b**2*r - 1536*b + 540*r**2
What is the first derivative of -61115*b - 15850 wrt b?
-61115
Find the second derivative of -367763*s**3 - 272*s - 112.
-2206578*s
What is the first derivative of -13508*l**2*t**3 - 2*t**3 - 4*t**2 - 44*t wrt l?
-27016*l*t**3
What is the first derivative of 125*q**4 - 11*q**3 - 12*q**2 - 4*q + 1002576 wrt q?
500*q**3 - 33*q**2 - 24*q - 4
What is the second derivative of 1207610*z**2 + 2*z + 128069 wrt z?
2415220
What is the first derivative of 86*a*q*z**2 + 2*a*q*z + 113*a*q - 87*a + 9*z**2 + 3 wrt z?
172*a*q*z + 2*a*q + 18*z
Differentiate -472958*q - 2337168.
-472958
Find the first derivative of -7*i*w**2 + 2*i*w*y**2 + 17*i*w + 5289*i*y**2 + 3*i - 5*w**2*y + 19*w**2 wrt y.
4*i*w*y + 10578*i*y - 5*w**2
Find the second derivative of 7*k**3*v**2 - 2*k**3*v + 541*k**2*v**2 + 2*k*v**2 + 3*k*v + 10292*v - 2 wrt v.
14*k**3 + 1082*k**2 + 4*k
What is the third derivative of 49069*n**4 + 16686*n**2 wrt n?
1177656*n
Find the third derivative of 539*p**6 + 76*p**3 - 634*p**2 - 99 wrt p.
64680*p**3 + 456
Find the second derivative of 47845*b**3*j**2 - 6*b**3*j - 2*b**3 + 405*b**2*j - 2 wrt j.
95690*b**3
Find the second derivative of 55079*b**2*v*y**3 - b**2*v - 2635*b*v*y**3 + 3*v*y**3 wrt b.
110158*v*y**3 - 2*v
What is the second derivative of 4*h**2*j**3 - 2989208*h**2*j - 31955*j**2 wrt j?
24*h**2*j - 63910
Differentiate -49478*h + 182278 with respect to h.
-49478
What is the second derivative of -407*b**2*i**3 - b**2*i**2 - 44*b**2 + b*i**2 + 2*b*i - 2004*b - 2*i**3 wrt b?
-814*i**3 - 2*i**2 - 88
What is the second derivative of 771391*q**4 + 461105*q + 1 wrt q?
9256692*q**2
What is the third derivative of -84*t**2*v**3 + 26*t**2 - 328*t*v**3 - 14*t*v**2 + 4*v**4 + 195*v wrt v?
-504*t**2 - 1968*t + 96*v
What is the second derivative of -1210*n**3 + 73*n**2 + 48*n + 1130?
-7260*n + 146
Find the second derivative of -2*b**5 + 22610*b**3 - 41433*b + 3 wrt b.
-40*b**3 + 135660*b
What is the second derivative of -3050710*f**2 - 5727165*f wrt f?
-6101420
Find the second derivative of -3*a**5 + 12123*a**2*x**3 + 75*a*x**3 + 2*a*x + 5*x**3 wrt a.
-60*a**3 + 24246*x**3
Differentiate -3992*v**3 + v**2 + 4*v - 124440 with respect to v.
-11976*v**2 + 2*v + 4
Differentiate 257952*g**4 - 122749 wrt g.
1031808*g**3
What is the third derivative of 34627*c**2*g**3 - c**2*g - c*g**3 + 7*c*g**2 + 2*c*g - 3*g**3 + 33*g**2 wrt g?
207762*c**2 - 6*c - 18
What is the second derivative of -207*x**5 + 89*x* | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from {f: 4, k: 7}.
14/55
What is prob of sequence qyyu when four letters picked without replacement from {y: 7, u: 2, q: 4}?
14/715
Two letters picked without replacement from {o: 1, c: 1, j: 1, l: 1, x: 1}. What is prob of sequence lx?
1/20
Calculate prob of sequence nic when three letters picked without replacement from {i: 3, l: 2, c: 6, n: 2}.
3/143
Three letters picked without replacement from {i: 2, m: 2, v: 5}. What is prob of sequence vii?
5/252
Four letters picked without replacement from ooovodovoo. Give prob of sequence oodv.
1/60
Three letters picked without replacement from {q: 8, z: 5, i: 7}. Give prob of sequence qqz.
7/171
Three letters picked without replacement from {o: 4, a: 4, r: 3, w: 6}. What is prob of sequence awr?
3/170
Calculate prob of sequence zsc when three letters picked without replacement from {c: 1, i: 5, o: 3, s: 1, z: 4, b: 4}.
1/1224
Four letters picked without replacement from {n: 1, r: 4, q: 2}. What is prob of sequence rnqq?
1/105
Four letters picked without replacement from {h: 1, z: 2, a: 8, m: 2}. Give prob of sequence hama.
14/2145
Calculate prob of sequence kak when three letters picked without replacement from {e: 1, q: 3, k: 2, a: 1}.
1/105
What is prob of sequence bvf when three letters picked without replacement from vbfggvl?
1/105
Two letters picked without replacement from wdvtrwvg. Give prob of sequence dg.
1/56
Two letters picked without replacement from {x: 12, f: 6}. What is prob of sequence fx?
4/17
Two letters picked without replacement from mbt. Give prob of sequence bm.
1/6
Four letters picked without replacement from {k: 6, l: 7}. What is prob of sequence kkkl?
7/143
What is prob of sequence rrrr when four letters picked without replacement from rrrrrr?
1
What is prob of sequence ju when two letters picked without replacement from cwufuwcjcwz?
1/55
Three letters picked without replacement from {h: 4, u: 2, c: 1, d: 2}. Give prob of sequence udh.
2/63
Two letters picked without replacement from zeeessqsess. What is prob of sequence sz?
1/22
Three letters picked without replacement from bbsbybs. What is prob of sequence bbb?
4/35
Two letters picked without replacement from mmmnnmmmmmmmmmmmmn. Give prob of sequence nm.
5/34
Four letters picked without replacement from dtutttyddthd. Give prob of sequence hudd.
1/990
Calculate prob of sequence za when two letters picked without replacement from mzmzzzzazzzzzzazmz.
13/153
What is prob of sequence ggo when three letters picked without replacement from {o: 5, d: 6, g: 2}?
5/858
Calculate prob of sequence ffef when four letters picked without replacement from fffefffef.
5/36
Three letters picked without replacement from {v: 5, y: 1, x: 1, i: 2, a: 1}. Give prob of sequence ixy.
1/360
Four letters picked without replacement from loutututltttull. What is prob of sequence ltlu?
4/455
Calculate prob of sequence iimm when four letters picked without replacement from {m: 3, t: 1, i: 3}.
3/70
What is prob of sequence ddd when three letters picked without replacement from dfdffd?
1/20
What is prob of sequence ac when two letters picked without replacement from hahaccaahhhah?
5/78
What is prob of sequence lj when two letters picked without replacement from jljnjyy?
1/14
Calculate prob of sequence lnsx when four letters picked without replacement from {n: 3, d: 1, s: 3, a: 3, x: 3, l: 1}.
9/8008
Two letters picked without replacement from hhhhh. Give prob of sequence hh.
1
Two letters picked without replacement from zcxbzzxz. Give prob of sequence cb.
1/56
What is prob of sequence ro when two letters picked without replacement from vorrojjovoojroo?
1/10
Calculate prob of sequence acv when three letters picked without replacement from iiiciccicacaicvacc.
1/204
Two letters picked without replacement from {m: 9, v: 2, e: 1, u: 6, i: 1}. Give prob of sequence iv.
1/171
What is prob of sequence lmk when three letters picked without replacement from mmmmmlumkkmk?
7/440
Calculate prob of sequence tu when two letters picked without replacement from ooizoooitoruorooti.
1/153
Calculate prob of sequence mjyp when four letters picked without replacement from {p: 3, m: 1, y: 3, j: 4}.
1/220
Calculate prob of sequence ee when two letters picked without replacement from xexexxx.
1/21
Four letters picked without replacement from nlnlnnnllllnnl. What is prob of sequence nlll?
35/572
What is prob of sequence iii when three letters picked without replacement from {i: 9}?
1
Four letters picked without replacement from {b: 1, u: 5, c: 5, v: 3, l: 2}. What is prob of sequence llvb?
1/7280
Calculate prob of sequence nll when three letters picked without replacement from lnl.
1/3
Two letters picked without replacement from {d: 6, k: 4}. What is prob of sequence kd?
4/15
What is prob of sequence zxu when three letters picked without replacement from {x: 5, j: 1, r: 1, u: 1, z: 2}?
1/72
Four letters picked without replacement from fktzffwtwt. What is prob of sequence fkzt?
1/560
Calculate prob of sequence kka when three letters picked without replacement from akbakkks.
1/14
Three letters picked without replacement from nlhpqqq. What is prob of sequence nqh?
1/70
Calculate prob of sequence iqqe when four letters picked without replacement from {i: 6, q: 3, k: 2, x: 4, e: 2}.
3/2380
Three letters picked without replacement from luxxxlxxul. Give prob of sequence luu.
1/120
Two letters picked without replacement from {q: 3, v: 4}. What is prob of sequence qq?
1/7
Two letters picked without replacement from {p: 1, u: 1, h: 1, y: 2, b: 1, i: 2}. What is prob of sequence bi?
1/28
Calculate prob of sequence za when two letters picked without replacement from {d: 3, z: 1, v: 1, w: 4, a: 8}.
1/34
What is prob of sequence te when two letters picked without replacement from {t: 7, u: 10, e: 1}?
7/306
What is prob of sequence zp when two letters picked without replacement from zjjzjpppj?
1/12
Two letters picked without replacement from sqjxckcjccjjjxjc. Give prob of sequence ck.
1/48
Two letters picked without replacement from {v: 3, u: 1, g: 2, i: 1}. Give prob of sequence gi.
1/21
Three letters picked without replacement from {l: 1, t: 2, h: 1, j: 1, v: 2, z: 1}. Give prob of sequence vvj.
1/168
What is prob of sequence hhy when three letters picked without replacement from {x: 2, u: 1, w: 1, h: 7, y: 4}?
4/65
What is prob of sequence zzyy when four letters picked without replacement from {z: 3, y: 5, x: 1}?
5/126
Two letters picked without replacement from nurrnananvnuarnnnar. Give prob of sequence uv.
1/171
Three letters picked without replacement from oyly. What is prob of sequence yoy?
1/12
What is prob of sequence hwk when three letters picked without replacement from {k: 5, h: 2, t: 1, i: 6, w: 1}?
1/273
Three letters picked without replacement from {v: 1, e: 1, l: 6, u: 8}. Give prob of sequence uue.
1/60
Three letters picked without replacement from eeeeeaaaeeeeae. What is prob of sequence aaa?
1/91
Three letters picked without replacement from {m: 1, o: 1, x: 1, r: 2}. Give prob of sequence orm.
1/30
Calculate prob of sequence ghg when three letters picked without replacement from {y: 2, g: 4, h: 1, k: 1}.
1/28
Calculate prob of sequence vsp when three letters picked without replacement from mmspgvlp.
1/168
Calculate prob of sequence xx when two letters picked without replacement from {z: 6, t: 7, x: 2}.
1/105
What is prob of sequence jxj when three letters picked without replacement from jxjiijjjijiijjx?
8/195
What is prob of sequence giig when four letters picked without replacement from {c: 5, y: 2, i: 4, g: 2}?
1/715
What is prob of sequence exeo when four letters picked without replacement from {x: 2, o: 1, n: 1, s: 3, e: 8, i: 1}?
1/390
Calculate prob of sequence ux when two letters picked without replacement from {u: 9, x: 5}.
45/182
What is prob of sequence vw when two letters picked without replacement from vayzaazwa?
1/72
What is prob of sequence qs when two letters picked without replacement from {s: 2, q: 1}?
1/3
Two letters picked without replacement from {m: 3, u: 13}. What is prob of sequence mu?
13/80
Two letters picked without replacement from {u: 4, e: 3}. Give prob of sequence ee.
1/7
Four letters picked without replacement from v | {
"pile_set_name": "DM Mathematics"
} |
. Is 149 + q/(35/(-25)) even?
True
Let f be (-8)/(-10)*(-855)/18. Let h be 0 - (-81 - 1*(-2 + -1)). Let n = f + h. Does 16 divide n?
False
Let o = -1873 + 1867. Let g be 8/(-28) - (-264)/(-7). Does 3 divide g/(-6) - (-2)/o - -3?
True
Suppose 19*y + 141571 = 23*y + 7*u, 2*y - u - 70763 = 0. Is 130 a factor of y?
False
Suppose 4*y + f - 23805 = 0, 5173 = -2*y + f + 17068. Does 18 divide y?
False
Suppose 13*f - 20*f + 3787 = 0. Suppose -3*v + f = -2*a, -3*v + 4*a = -0*a - 551. Is 15 a factor of v?
False
Suppose -4*w = 3*g - 92, 0 = 7*g - 2*g - 2*w - 162. Let x = -44 + g. Let n = 36 + x. Does 3 divide n?
True
Suppose 6*p - 16*p = 40*p - 335600. Does 4 divide p?
True
Let o(f) = 12*f**2 - 7*f + 12. Let v(w) = w**3 - 3*w**2 + 6*w - 2. Let u be v(2). Let x be o(u). Is ((-6)/(-9))/(2/x) a multiple of 11?
False
Suppose 0 = 235*s - 237*s + 10. Is -8 + s + 371 + 1 a multiple of 41?
True
Suppose -43*k + 13056361 - 2903169 = 153*k. Is k a multiple of 118?
True
Let v be 4/8*(-2 + 4). Let t be v*-3 - 84/(-28). Suppose 2*h = -t*z - 2*z + 54, -3*h + 116 = -4*z. Does 5 divide h?
False
Is 4415 - (-147)/(-168)*24 a multiple of 26?
True
Suppose 6*v - 25 = v. Suppose -10*a + 150 = -v*a. Does 5 divide (-116)/(-5) + (-6)/a?
False
Let u be (-3 - 0) + 0 - -132. Let f(v) = 74*v**2 - u + 131 + 93*v**2 + 2*v - 45*v**2. Does 32 divide f(-1)?
False
Suppose -7*t = 6*t - 338. Suppose -t + 89 = 3*o. Is o a multiple of 21?
True
Suppose 2*u + 3*y - 13 = 7*u, 2*u - 4*y = 6. Let l be (u/5 - -4)/(9/276). Let v = l + -56. Is v a multiple of 3?
True
Let q = -179 - -272. Suppose -2*h - 109 = -3*x - 7, 3*x - 5*h = q. Is 88/9 - (-8)/x a multiple of 5?
True
Let y be 3/((-154)/26 + 6). Suppose -y*t + 987 = -36*t. Does 20 divide t?
False
Suppose -926*g = -908*g - 602550. Is 27 a factor of g?
False
Let l = -336 - -2858. Does 42 divide l?
False
Suppose -u - 72 = 2*z - 1061, 0 = 3*z + 3. Is 13 a factor of u?
False
Suppose -92*h = -43285 - 7315. Does 11 divide h?
True
Let i(c) = 10*c - 5*c + 73 - c**2 - 4*c. Is 8 a factor of i(0)?
False
Suppose 100 = 4*z + 84. Suppose -z*s - 3*f = -9, 6*f = 5*s + f + 15. Suppose 2*h - 10 = 0, s*a - 3*a - 2*h + 139 = 0. Does 8 divide a?
False
Let d(m) = -3*m**3 - 21*m + 102. Is d(-9) a multiple of 177?
True
Let i(v) = -108*v**3 - 36*v**2 - 179*v - 6. Is i(-6) a multiple of 28?
True
Let o = 8477 + -5741. Does 29 divide o?
False
Suppose 0 = -o - 2*a + 816, 2038 = -4*o + 2*a + 5302. Let u = -400 + o. Is u a multiple of 30?
False
Let n(v) = 9*v**2 - 7*v - 4. Let d(t) = 14*t**2 - 10*t - 6. Let r(j) = -5*d(j) + 8*n(j). Let q be 9 + -7 + 1 + 4. Does 13 divide r(q)?
False
Suppose p = -4*m + 84, 2*m + 2*p = 3*m - 21. Let t(g) = -22 - 5*g - 32 + m. Is t(-10) even?
False
Let i = 48 - 45. Suppose i*o + 265 = 1105. Suppose 19*y - o = 12*y. Is y a multiple of 4?
True
Suppose -2*u + 5*h - 908 = 0, -4*u - 1462 = -5*h + 334. Let c = 747 + u. Does 15 divide c?
False
Suppose 5*w = -4*d + 213, -8*w + 3*w = -5*d - 240. Does 9 divide -848*(-18)/w*5/4?
False
Let v(c) = -2*c**2 + 181*c - 39. Does 28 divide v(23)?
False
Suppose 0 = -4*c + 85 + 227. Is 2 a factor of (1*(0 + -2))/((-26)/c)?
True
Is 17 a factor of ((-156)/286)/(24/(-60324))?
False
Suppose -w - 745*n + 748*n = -2475, -2*n + 6 = 0. Does 23 divide w?
True
Let h = -456 + 904. Suppose 2*t + 2*t - 1078 = -5*a, 4*t = 2*a - h. Suppose -2*n + 2 = -a. Is n a multiple of 11?
True
Let s(a) = -a**2 + 31*a + 2. Let z = 220 - 195. Does 19 divide s(z)?
True
Suppose 0 = -s - a + 1048, -126 = -3*a - 141. Is 27 a factor of s?
True
Suppose 12 = -4*t - 2*t. Let o be (-2 - t) + -2 - (-3 + 1). Suppose -2*b = -5*k + 51 + 12, -2*k + b + 25 = o. Is 10 a factor of k?
False
Suppose -2364 = 20*s + 11376. Let p = -246 - s. Is p a multiple of 63?
True
Let k(i) = 15*i + 116 - 186 + i. Does 31 divide k(15)?
False
Let b = 444 + -445. Is b/2*10 - 1652/(-28) a multiple of 5?
False
Let o(a) be the third derivative of -a**5/60 + a**4/24 + a**3 + 11*a**2. Let s be o(-7). Is 5 a factor of (-2)/(-5) - 480/s?
True
Let s(t) = t + 7. Let d be s(-5). Suppose -2*h - 12 = -4*b + d*b, 2*b = 6. Is 2*(h - 147/(-6)) a multiple of 32?
False
Let m(h) = 2*h**2 + 19*h - 232. Is m(-36) a multiple of 2?
True
Let i(o) be the third derivative of o**4/12 + 19*o**3/6 - 39*o**2 + 3. Suppose 0 = -3*x + 3*n + 25 + 14, -5*x + 53 = n. Does 10 divide i(x)?
False
Let j = 19082 - 60123. Is 8/10 - j/55 a multiple of 14?
False
Let x(d) = -d**2 + 8*d - 3. Let u be x(7). Let s = 2173 - 2168. Suppose -5*l + a = -775, 10*l - u*a - 775 = s*l. Does 14 divide l?
False
Let q = -20318 + 42998. Is 105 a factor of q?
True
Let y(n) = 52*n + 24 + 36*n - 77*n. Is y(21) a multiple of 14?
False
Let k be (-200)/(1 - -3) + 10/10. Let a = k - -840. Does 6 divide a?
False
Let v = 127 + 184. Suppose -2*u - v = -3*y - 117, -y = -3*u - 67. Suppose -a + 36 = -y. Is 10 a factor of a?
True
Let v be 3 - (-28)/(-8) - (-35)/10. Suppose 0 = -i - 3*f + 75, f = -v*i - i + 245. Does 3 divide i?
True
Does 13 divide 1305300/2250 + 2/(-15)?
False
Suppose 3*y - 22*y = -171. Is 36 a factor of 1957/5 + 4 - y/(-15)?
True
Suppose -804*t + 59138 = -802*t. Does 9 divide t?
False
Suppose 31*y - 194946 + 36009 = 0. Is 52 a factor of y?
False
Let o(a) = a**2 - 99*a + 355. Is 2 a factor of o(99)?
False
Is (189620/(-7))/(-10) + (-12)/14 a multiple of 2?
True
Is (1946*52/(-546))/((-3)/54) a multiple of 8?
True
Suppose -v = -4*s + 7539 - 644, 0 = -5*s + 3*v + 8610. Is 25 a factor of s?
True
Let j(w) = w**2 + 3*w + 4. Let y(b) = 2*b**2 + 9*b + 2. Let v be y(-4). Let k be j(v). Suppose 5*r - 4*r = 3*i, -k*i = -8. Does 4 divide r?
True
Let n(r) = -492*r + 9. Let x be n(1). Let s = -323 - x. Is 11 a factor of s?
False
Let l(a) = -a**3 - 2*a**2 - 10*a. Let w = 63 - 44. Let y = w + -24. Is 5 a factor of l(y)?
True
Let z = -109 - -130. Let t = -203 + z. Let o = 278 + t. Is o a multiple of 16?
True
Suppose -20*b + 240730 = -37350. Is b a multiple of 88?
True
Let n = 273 + -271. Is 27/n + ((-66)/12 - -6) a multiple of 7?
True
Suppose 30*a = 33*a - 9. Suppose 0 = 4*l + 8, -a*f + l + l + 265 = 0. Is f a multiple of 3?
True
Suppose 0 = 4*n - 12 - 4. Suppose -5*b = -p - 9*b + 8, 4 = n*b. Let a(r) = 18*r + 33. Is a(p) a multiple of 35?
True
Let o = -5204 - -7238. Is o a multiple of 113?
True
Let d be 41781/(-76)*32/(-6). Is (-70)/(-15) - 5 - d/(-12) a multiple of 4?
True
Let c(v) = -6*v + 16. Let b = -81 + 65. Let z be -3*b/18*(-63)/12. Is 10 a factor of c(z)?
True
Let h be -969 - (-7 - (-5 + -1)). Let t = 1440 + h. Is 34 a factor of t?
False
Let q(r) = -r**2 - 12*r - 29. Let t be q(-7). Let k be 39/t + (-12)/8. Is 2/k - 1512/(-70) a multiple of 11?
True
Let i(l) = -2*l + 20. Let t be (-8 + 6)*(-20)/4. Let q be ((-22)/(-4))/((-5)/t). Is 6 a factor of i(q)?
True
Suppose 2*j - 3*o - 6461 = 7*j, 1295 = -j - 2*o. Let k = j - -1961. Does 10 divide k?
True
Is (9 + (-12 - 3) - (-54)/(-1))/(-1) a multiple of 20?
True
Let g = -56 - -57. Let q be (-5)/10*g + 5/(-2). Is (-20)/2*(20/8 + q) a multiple of 2?
False
Let s = 41795 + -22711. Suppose -2*k - 11*k + s = 0. Is k a multiple of 21?
False
Let j be (30/(-35))/(2/(-42)). Let q = 185 + j. Is q a multiple of 5?
False
Suppose c - 18 = -4*w - 0, -5*c + 2*w = -2. Let h(x) = -12*x + 21*x**c + 1 + 19*x**3 + 5*x + 3*x**3 - 15*x**2. Is 17 a factor of h(2)?
True
Let n be 14/7*(-73)/2. Let t = 74 + n. Let k(b) = 15*b**2 - 2*b + 2. Does 9 divide k(t)?
False
Let w(o) = -o**3 + 7*o**2 - o + 6. Let m(z) = -z - 10. Let f be m(-12). Suppose 0 = -4*d + f*v + 24, 5*d - 3*v = -8*v + 15. Is w(d) a multiple of 17?
True
Let z(w) = 5*w + 93. Let c be z(-18). Suppose c*i - 3*l = 1857, -1268 = -i - i - 4*l. Is i a multiple of 15?
False
Suppose -37*h + 62048 = -5*h. Suppose 0 = -17*o + 849 + h. Is o a multiple of 82?
True
Suppose 68 = g - 58. Let q = -119 + g. Let l(k) = -k**3 + 8*k**2 + 7*k + 14. Does 8 divide l(q)?
True
Suppose -5*q = -2*w - 152645, 3*q - 9*w - 4477 = 87149. Is 240 a factor of q?
False
Let b be (-21)/(-63) + (-9800)/(-12) + 2. Let n = -766 + b. Does 7 divide n?
False
Suppose 0 = -18*v + 14*v + 32. Suppose 32 = -v*s - 0*s. Is 17 a factor of ((-160)/(-3))/s*(-6)/4?
False
Is 54 a factor of (-281*1)/((-1)/(4 - -11))?
False
Suppose 2*n = c - 2*n - 410, -4*c + 4*n = -1652. Does 3 divide c?
True
Let y(m) = -2*m**3 + 80. Supp | {
"pile_set_name": "DM Mathematics"
} |
50616
Find the second derivative of 1642701*h**5 + 4*h**3 + 23*h + 378484.
32854020*h**3 + 24*h
Find the third derivative of f**3*o*t + 12421*f**3*o + 857*f**3*t**3 - 2*f**2*o*t**2 + 3*f**2*o*t + 121817*f*o + 5*t**3 wrt f.
6*o*t + 74526*o + 5142*t**3
Find the first derivative of -28*m**4 + 5962*m**2 + 3*m + 24760087.
-112*m**3 + 11924*m + 3
What is the first derivative of 191354373*i**2 - 186548032 wrt i?
382708746*i
Find the second derivative of 2530*q**2*v**2 - 687064665*q**2*v + 2275*q*v**2 - 4*v**2 wrt v.
5060*q**2 + 4550*q - 8
Find the third derivative of 197210007*f**3 + 2392573*f**2 + 58.
1183260042
Find the third derivative of 13826243*u**3 + 2927*u**2 + 1711*u + 2.
82957458
What is the second derivative of -241843860*v**2 + 232853971*v?
-483687720
Find the third derivative of h**5 + 5*h**4 + 61224*h**3 - 3362027*h**2 - 2 wrt h.
60*h**2 + 120*h + 367344
Find the second derivative of -c**2*d**2 + 2434*c**2 + 865051*c*d**3 - 2*c*d - 48*c + 2*d wrt d.
-2*c**2 + 5190306*c*d
What is the third derivative of -2*s**6 + 274897705*s**4 - 2947*s**2 - 14*s + 134 wrt s?
-240*s**3 + 6597544920*s
Differentiate 523664520*t**2 + 1054766026 with respect to t.
1047329040*t
What is the derivative of 4*i**3 + 48*i**2 + 15586*i + 31308210 wrt i?
12*i**2 + 96*i + 15586
What is the second derivative of -48175632*b**2 - 3*b + 1039754 wrt b?
-96351264
What is the third derivative of 519564596*p**5 + 8*p**2 + 1434*p - 9068?
31173875760*p**2
What is the third derivative of 5*i*q**4 + 91*i*q**2*v + 2*i*q**2 + i*q*v - 73*q**4*v + 8259*q**4 - 4*q**2*v + 37*q*v wrt q?
120*i*q - 1752*q*v + 198216*q
What is the third derivative of 2*k**5 - 123249627*k**3*y**2 + 943*k**2*y**2 + 97*k*y + 558*y + 2 wrt k?
120*k**2 - 739497762*y**2
What is the first derivative of -36443126*f - 8188785 wrt f?
-36443126
Find the first derivative of -6634640*p + 18223653 wrt p.
-6634640
What is the third derivative of -3*g**5 - 12298689*g**3 + 2*g**2 - 17573*g + 38?
-180*g**2 - 73792134
What is the third derivative of 2*q**6 + 48980434*q**5 + 15434*q**2 - 2339*q wrt q?
240*q**3 + 2938826040*q**2
Find the third derivative of 635735139*i**3 - i**2 + 3514273*i + 5 wrt i.
3814410834
What is the first derivative of 72058901*y**4 - 209098879 wrt y?
288235604*y**3
What is the third derivative of -261598*h**6 - 15*h**3 + 51907*h**2 + 15 wrt h?
-31391760*h**3 - 90
What is the second derivative of -10335363*h**2 - 262931280*h wrt h?
-20670726
What is the third derivative of -521222093*n**3 + 8382*n**2 + 3496*n?
-3127332558
Find the third derivative of -34*v**6 + 29994*v**5 + v**3 - 14149*v**2 + 182*v.
-4080*v**3 + 1799640*v**2 + 6
What is the second derivative of -24355018*o**2*t - 23115344*o - 2*t wrt o?
-48710036*t
What is the third derivative of 7*u**4 - 298831*u**3 + 9*u**2 + 2367485?
168*u - 1792986
What is the second derivative of 3*i**4 + 842*i**3 + 33490*i**2 - i - 29544133?
36*i**2 + 5052*i + 66980
What is the second derivative of -72*p**3*s*v - 980*p**3 - 2*p**2*s**2*v - 42758*p*v - 107*s**2*v - 3*s*v wrt p?
-432*p*s*v - 5880*p - 4*s**2*v
Find the first derivative of -1128975*l**2*y - l*y + 12*y - 1737318 wrt l.
-2257950*l*y - y
What is the first derivative of -233*h**2 - 186091*h + 60772013?
-466*h - 186091
Find the third derivative of -138165926*t**4 + 132*t**2 + 1091*t - 131.
-3315982224*t
Find the third derivative of -475093*v**5 - 2*v**2 - 40*v + 244 wrt v.
-28505580*v**2
What is the first derivative of -391349072*s - 910801433?
-391349072
Find the second derivative of -720*t**3*u**2*z - 14*t**3*u*z + 2*t**3*u + 65616*t**2*u**2*z + t**2 - 275541*t*u + 2*z wrt u.
-1440*t**3*z + 131232*t**2*z
Find the third derivative of -12720924*s**3 + 39901169*s**2.
-76325544
Find the first derivative of -28*h**2*y + 240068340*h**2 - 400907*h*y wrt y.
-28*h**2 - 400907*h
What is the first derivative of 569861*f*g*v**2 + 30*f*q**3*v**2 - 9*g*q**3*v + 4*g*q**3 + g*q*v**2 + 2*q**3*v - 90*q**3 wrt f?
569861*g*v**2 + 30*q**3*v**2
Find the third derivative of 68165086*p**4*r - p**4 - 12713348*p**2 - 19*p*r wrt p.
1635962064*p*r - 24*p
What is the derivative of 2*j*m*q**3 - j*m*q**2 - 2*j*m*q*u - 191*j*m - 3*j - 107*m*q**3*u - 13*m*q**3 + 7*m*q + 3401*m*u wrt u?
-2*j*m*q - 107*m*q**3 + 3401*m
What is the third derivative of a**3*l**3 + 23*a**3*l**2 - 370*a**3 + 36*a**2*l**3 + 3*a**2*l + 136690*l**3 - 3 wrt l?
6*a**3 + 216*a**2 + 820140
Differentiate 255217*d*t + 51*d - 54248555*t wrt d.
255217*t + 51
What is the first derivative of -17*d**3*w**2 - 1840002*d**3 - 264912*w**4 wrt w?
-34*d**3*w - 1059648*w**3
Find the second derivative of 15387044*o**2 + 6*o - 191384 wrt o.
30774088
What is the second derivative of 3*c**3 + 10283873*c**2 - 128033598*c?
18*c + 20567746
Find the second derivative of 2*p**3*x**2 - 116133*p**3 + 174*p**2*x - 505351220*x**4 - x wrt x.
4*p**3 - 6064214640*x**2
What is the first derivative of 4660*m*v**2*z + 2537*m*v*z - 2*m - 2*v*z**2 + 36881870*z**2 wrt v?
9320*m*v*z + 2537*m*z - 2*z**2
Find the second derivative of -c**3 + 486852*c**2 + 24840806*c.
-6*c + 973704
What is the second derivative of -7*g**5 + 107525*g**4 - g**3 - 16470463*g?
-140*g**3 + 1290300*g**2 - 6*g
What is the derivative of -19*v**3 + 164*v**2 - 91*v + 120567348 wrt v?
-57*v**2 + 328*v - 91
What is the third derivative of 5*f**5 + f**4 - 14231*f**3 + 619200924*f**2 wrt f?
300*f**2 + 24*f - 85386
Find the third derivative of 218538731*b**3 + 2*b**2 - 169589703*b.
1311232386
What is the third derivative of -14234*q**5 + 4*q**4 + 72*q**3 - 7914*q**2 + 483?
-854040*q**2 + 96*q + 432
Find the third derivative of 2*n**5 - 45993593*n**3 - 153*n**2 + 5*n - 1868 wrt n.
120*n**2 - 275961558
Differentiate -2319367*h*m + 3555607*m with respect to h.
-2319367*m
What is the first derivative of -11163768*g*i*q + 4208*g*i + 4*i*q + 73523*i wrt q?
-11163768*g*i + 4*i
Find the third derivative of 6145099*b**6 + 109*b**2 + 2*b - 9042.
737411880*b**3
Find the third derivative of 60702702*m**3 + 260*m**2 + 69011 wrt m.
364216212
Find the first derivative of 320279341*q - 952504258 wrt q.
320279341
Find the second derivative of -47170032*k**3 - 12889203*k.
-283020192*k
Find the first derivative of 140071339*n**4 - 4495874 wrt n.
560285356*n**3
What is the second derivative of -1893*b**2*s + 242554*b**2 + 125793*b*s + 9*b + 2*s + 4 wrt b?
-3786*s + 485108
Find the second derivative of -13485*a**2*k**2 - a**2*k - 3*a**2 + a*k**2 - 261*a*k - 245*k**2 - 158*k wrt k.
-26970*a**2 + 2*a - 490
What is the second derivative of 694*d**3*i + 10462*d**3 - 2*d**2*i + 3702*d*i + 1459 wrt d?
4164*d*i + 62772*d - 4*i
What is the first derivative of 84022*l**4 + 1268*l - 120837932?
336088*l**3 + 1268
Find the third derivative of 2034*g**5 + 12679*g**4 - 219056308*g**2 wrt g.
122040*g**2 + 304296*g
What is the third derivative of -73070360*w**3 + 3*w**2 - 4*w + 188971?
-438422160
What is the first derivative of 576335*w - 3109497 wrt w?
576335
Find the third derivative of 9*a**5 - 27552966*a**4 + 121882186*a**2 wrt a.
540*a**2 - 661271184*a
What is the third derivative of -10107841*y**4 - 2*y**2 - 1532580?
-242588184*y
Find the first derivative of 14848163*c**2 + 18*c - 5438613 wrt c.
29696326*c + 18
What is the derivative of 194*y**3 - 5852*y**2 + 4084593?
582*y**2 - 11704*y
What is the second derivative of -5510*h**2*r**2 - 490081428*h**2*r - h*r**2 - 24747*r**2 wrt r?
-11020*h**2 - 2*h - 49494
What is the second derivative of 2523*a**2*p*r**3 - 9430*a**2 - 5251*a*p*r**3 - a*r**3 - 7*p*r**3 + 2*p wrt a?
5046*p*r**3 - 18860
Find the second derivative of 1634*x**4*z**3 + 3733*x**3*z + 7167*x*z**3 - 5*x*z**2 - 4*z**2 wrt x.
19608*x**2*z**3 + 22398*x*z
What is the derivative of 52*q**4 - 2*q**3 + 306*q**2 + 36*q + 3515079?
208*q**3 - 6*q**2 + 612*q + 36
What is the second derivative of 1946*k**2*n**3*z**3 - 56*k**2*n**3*z**2 - 14*k*n**3*z**3 + 4*k*n**2 + 2*n**3*z**2 + 15*n*z**3 - 393*z**3 wrt k?
3892*n**3*z**3 - 112*n**3*z**2
Find the first derivative of 3*d**3 + 416668*d + 7787538.
9*d**2 + 416668
What is the third derivative of -118894151*s**5 - 2*s**3 + 96*s**2 + 860697*s + 2?
-7133649060*s**2 - 12
Find the second derivative of 75*a**3 - 1622346*a**2 + 198700746*a wrt a.
450*a - 3244692
What is the derivative of 9091202*f**3*l - 136*l + 20741 wrt f | {
"pile_set_name": "DM Mathematics"
} |
130*t - 95 = 125*t. Suppose 2*s - 3*o = t, -3*s - 3*o = o - 71. Solve 3*q = 3*d + 7*q + 23, -5*d - s = -4*q for d.
-5
Suppose -5*t + 0*t = 2*w + 39, -3*w + 45 = -4*t. Let h be 4/(15/t - -3). Suppose 29*u - 159 = -14. Solve 0*v = -u*v + h*p - 7, 5*p - 1 = 3*v for v.
-2
Let q = -4014 + 4017. Solve 9*c - 4*c = 4*o - 10, -q*o - 2*c = -19 for o.
5
Let p(b) = 4*b**2 - 3*b - 3. Let k be p(-1). Suppose 20 = 5*m - 5*d + 6*d, -4*m - 8 = -k*d. Solve -2*z = 3*o + 3*z - 26, 14 = m*o + 2*z for o.
2
Suppose 0 = 14*a - 20*a - 17 + 65. Solve 5*s = 3*d + a, -13*s + 4*d = -11*s + 8 for s.
4
Suppose 0 = 2*c - 4*v - 10, -c - 3*c = 3*v - 9. Solve 2*k = -3*n + 13, c*n = -0*n + 4*k + 1 for n.
3
Let l = 754 - 748. Solve 3*r - l = 5*a, -4*r + 2*a = -r + 3 for r.
-3
Suppose -5*u + h + 27 = 0, 3*u + 21 = 6*u - 3*h. Let x(n) = n**2 + 2*n - 32. Let o be x(u). Solve 3*w - 2*l - 3*l = o, -2*w + 4 = -4*l for w.
-4
Suppose 0 = -b + 5 - 2. Let g = -32 + 55. Let v(x) = -2*x**2 + 140*x - 988. Let a be v(8). Solve -3*o - a*p - g = 0, 2*p - 6 = o + b*p for o.
-1
Suppose -z = -2*t + 19, 40 = 5*t + 5*z + 15. Suppose -f = 5*y - 17, 5*y - 5*f - 13 + t = 0. Solve -y*h = -3*s + 21, 5*s + 0*h + h = 17 for s.
4
Let y = -37 + 49. Suppose y - 10 = r. Suppose 4*q = -5*o + 88, o - 34 = -o - r*q. Solve -11 = 2*j - 4*w + 5, 4*j + o = 4*w for j.
-2
Suppose -11 = z - 2*z + 5*n, 0 = 5*z - 3*n - 77. Solve -4*k + q - z = 0, -116*k - 4*q + 8 = -118*k for k.
-4
Let j be (7 - 4)*(-4 + 3). Let z be (j + -2)*2/(-5). Let m be ((-4)/z - -1)/((-2)/10). Solve 5*d - 25 = m*o, -17 = o - 3*d - 2*d for o.
-2
Let p be (-4)/(-2) + 1/((-1)/(-4)). Suppose 0 = 9*r - p*r + 9*r. Solve -4*o + 4*v = -12, r*v = 4*o - 3*v - 13 for o.
4
Let t(c) = c**3 - 4*c**2 - 3. Let k be t(4). Let v = 5 + k. Let x be (-2)/(-26) - (-11 + (-2686)/(-442)). Solve -g = 4*g + 10, v*w - x*g - 20 = 0 for w.
5
Let c be (4 + -15 - 27)/(-2). Solve 0 = d + 3, -3*w - d + 22 = c for w.
2
Let f be (1/(-2) + -1)/(11/1188). Let q = 166 + f. Solve -q*c - n = -24, -6*c + 5*n + 5 = -c for c.
5
Suppose 5*n - 7 = -5*q + 23, 3*q - n = 6. Let m be ((-1)/q)/((-3)/45). Solve -m*w - 3*a = -3, -w + 3*w + 4*a = 4 for w.
0
Suppose -148 = -18*n + 284. Let u be 6*((-7)/(-12) + (-6)/n). Solve u*j + j = -4*b + 5, -5*b + 20 = j for b.
5
Let u be (-2 - -1)/(11/(-66)) - 4. Suppose -5*g - g + u*g = 0. Solve 5*n - 5*p - 25 = g, -4*p - 11 = -0*n - n for n.
3
Let o = 0 - -20. Suppose -10*x - o*x = -120. Solve -4*m - 4*z = -1 + 9, -x*z = 5*m + 9 for m.
-1
Let y = -293 - -317. Suppose 27*u = y*u + 9. Solve 3*r - 21 = u*d + 2*d, 0 = 3*r + 2*d for r.
2
Let q = 9 - -33. Let m(l) = -2*l**3 - 31*l**2 + 18*l - 8. Let g be m(-16). Let k = g + q. Solve u + 3 = 4*i - 1, 0 = -3*i - k*u - 8 for i.
0
Suppose -2*b + 4*a = -2, 0 = 4*a - 37 + 17. Suppose -b*w - g + 16 = -8*w, 0 = -w - 2*g + 7. Solve d + 0 = -2*q - 5, w*q = d - 9 for q.
-2
Let u be ((-36)/(-15))/(140/(-75) - -2). Suppose -2*c + 18 = -u. Solve 23 = -3*g - 4*m, -4*g - 5*m = 47 - c for g.
-1
Suppose -1772 + 1778 = 3*w. Solve -2*u - 6 = 4*b, 0 = 5*b + w*u + 5 + 1 for b.
0
Let n be (-8)/(-12)*14/(112/(-60)). Let z be n + (-3)/(-1) - (6 + -10). Solve 3*s + 3*g = -z*s + 9, 3*s - 3*g = -9 for s.
0
Suppose -46 = -4*a - 129*g + 132*g, 2*g = 3*a - 35. Solve 0 = -l - 3*c + a, 0 = 5*l - 2*c + 3 for l.
1
Let r(t) = -t**2 + 3*t + 23. Let i be r(-4). Let g be (8 + -2)*(i + (-55)/(-10)). Solve -5*a + 9 = g*n, 2*a - 16 = -n + 6*n for n.
-2
Let l(x) = -3*x - 28. Suppose j + 3 = -2. Let w be ((-54)/(-15))/(1/j). Let n be l(w). Solve -4*c - 2*t = -22, t + 0*t = -5*c + n for c.
5
Let o(b) = -b**2 + 17*b + 64. Let w be 248/12 + 18/(-27). Let d be o(w). Solve 7*a - 8 = 3*a - d*y, -4*a + 4*y + 24 = 0 for a.
4
Let h be (0 - (-122)/42) + 16/(-6216)*-37. Solve -4*i - 6 = -2*a, 2*a + 13*i - 14*i - h = 0 for a.
1
Let u(d) = d**3 - 5*d**2 - 6*d + 7. Let z be u(7). Let m be 963/z - (57/(-21) + 3). Solve -8 = 4*k - 0*k, -3*k = 3*b + m for b.
-3
Suppose 0 = -136*o - 103 + 375. Solve 22*x - 4 = 26*x, o*x + 2 = 3*j for j.
0
Let o(l) = -23*l + 72. Let x(m) = -6*m - 51. Let k be x(-9). Let h be o(k). Solve 0 = -2*i - 4*r + 14, -4*r = h*i - 0*r - 11 for i.
-3
Let j = -18 + 20. Suppose -1796 = -54*r - 716. Solve -5*d = 2*y + j*y - r, -3*y - 4*d = -16 for y.
0
Let n be ((-1584)/(-112))/(-9)*-7. Solve 3*d + 24 = 6*v - n*v, d + 6 = -v for v.
-3
Suppose 12*b - 37 = -4 + 3. Solve 4*n = -2*x, 0 = b*x - 3*x + 2*n for x.
0
Let x(j) = 114*j - 7 - 18 - 3 - j**2 - 125*j. Let w be x(-5). Solve 0 = 5*b - 5, 4*s + 7*b = w*b + 5 for s.
0
Suppose 69 = 15*n + 22 - 28. Solve 0 = a - 5*x + 5, a = 5*a - n*x + 5 for a.
0
Suppose -5*q + 3*d + 419 - 30 = 0, -4*q + 301 = d. Suppose g + 142 = -g. Let i = q + g. Solve 16 = -i*m - 3*l, 2*l + 9 + 0 = -3*m for m.
-5
Let u = -1638 + 1643. Suppose -2*q + 3*q - 136 = -5*y, -q = y - 24. Solve 4*z - u*d = y - 9, -4*z = 5*d + 11 for z.
1
Suppose 2*t - 21 = -2*c - 15, -c = -3*t + 13. Solve -t*u + 2*d = -8, u - 41 = 2*d - 36 for u.
1
Suppose -4*f = 3*g - 155, 5*g - 2*f - 3*f = 200. Let j = 1400 - 1400. Suppose -3*n + j*n + g = 0. Solve n = -5*l + 2*r, l + 9 + 2 = 2*r for l.
-1
Suppose -52*r - 2 = -51*r - 4. Solve -r = 2*x - g + 5, 3*x = 5*g for x.
-5
Suppose 1235 - 1265 = -6*a. Solve 2*p - a*l = 17, -3*l = -p - 0*l + 10 for p.
1
Let h = -38 + 82. Suppose -120 = -h*s + 38*s. Suppose 4*y - 23 = i, 3*y + 2*i - s = -0*y. Solve p + o + 8 = 0, 14 = -p + 3*o - y*o for p.
-5
Suppose -19*o + 103 - 188 = -123. Let m(d) = d**3 + 5*d**2 + 5*d + 2. Let p be m(-3). Solve 4*q - 1 = 5*a, p*q - a = o*a + 11 for q.
4
Let x(s) = -s - 4. Let t be x(-4). Suppose 3*o - 9 + 3 = t. Let q = 428 - 424. Solve 2*z + 6 = -o*y, 5*z + q*y + 10 = -5 for z.
-3
Let n = 459 + -459. Solve n*f - 3*f - 3*x = -15, 4*f + 2*x = 14 for f.
2
Suppose 5*v = -5*c - 15, -5*v + 5 = 21*c - 20*c. Suppose -16 = 72*s - 73*s. Solve -4 = 2*p - a, -v*p = p + a + s for p.
-4
Let b be -7 + 0 - (-181 + 170). Suppose 30 = 3*q + 2*q. Let h = q - 6. Solve -3*z + b*i = -11, -i - 3*i + 4 = h for z.
5
Let c = 1 - 1. Let l = -18162 + 18175. Suppose c = l*f - 94 + 16. Solve f*j + 11 = j - 4*d, -j = 5*d - 2 for j.
-3
Suppose -996 = -12*w + 216. Let g = w + -80. Let s be 2/(3*(-4)/(-114)). Solve -3*z + g = -5*p, -3*p + 4*z = -z + s for p.
-3
Let s be (1/1)/((-4)/(-20)). Suppose -16 = -7*k + s. Solve -3*c + c = 0, 0 = -k*q - c for q.
0
Suppose 3*i + 11 = 6*i + g, -2*i + 3*g = 0. Solve 0 = -i*n - 3*y - 21, -4 = -3*n + 2*y - 15 for n.
-5
Let v(x) = 35*x + 343. Let n be v(-9). Solve 5*u + 2*f = 18, -4*u = -f + 11 - n for u.
4
Let f(n) = n**3 - 2*n**2 - 7*n + 2. Let z be f(4). Suppose -z*w - w + 63 = 0. Suppose -w*v + 50 - 5 = 0. Solve -5 = v*j - 0*j - 5*l, 0 = -2*j + 3*l - 5 for j.
2
Suppose 0 = 3*n + 1172 - 1181. Solve n*h - 10 = -c, 2*c + 4*h - h = 8 for c.
-2
Suppose 0 = 8*l - 14*l + 462. Let f = 83 - l. Suppose 0 = 2*y - 4*x, 5*y - f = -0*x + 4*x. Solve z + 0*z + j = 0, -y = -j for z.
-2
Let x = -10 + 18. Suppose 3*l - x*l = -10. Let m(q) = q - 4. Let u be m(8). Solve 0 = c + v, -u*v + l = -2 for c.
-1
Let n be (-2)/7 - (-10)/35. Let h be 3/(9/(-4) + (-1 - -4)). Suppose 2*k + 80 = h*q, 9*q - 4*q - 2*k - 98 = n. Solve 5*g - x = -3*x + 2, -2*x = -5*g + q for g.
2
Let l(j) = -3*j**2 - 32*j - 80. Let m be l(-5). Solve -2*i - i + 32 = 5*a, 0 = -m*a - 2*i + 28 for a.
4
Let f(h) = -h**3 - 5*h**2 + 3. Let t be f(-5). Let r be (210/(-16))/(2061/(-5496)). Solve 7*i - r = 4*u + 2*i, 9 = -t*u - 2*i for u.
-5
Let q = 4327 - 4323. Solve -2*m - 19 = 5*r + q, -4*m - 19 = r for m.
-4
Suppose 0 = 3*l - 2*q - 13, 7*l - 2*l + 2*q = -5. Let v be (-5 + 4)*-8*l. Let i be v/6 - 22/(-33). Solve p = -3*w + i*p + 2, 4*p - 14 = w for w.
2
Suppose -z - 3 = -3*c + c, 2 = 3*c - 4*z. Suppose -c*i + 110 = 9*i. Suppose -5*g - 25 = -i*g. Solve j - 7 = -j + g*f, 0 = j - 5*f - 11 for j.
-4
Suppose -m = -85*m + 222 - 54. Solve -65*q + 4*k - 25 = -62*q, -q - m*k = -5 for q.
-3
Let t be 2/(8/3) - (-310)/(-40). Let w be (-3)/t + 11/7. Let x be w/(-1) - (36/9 - 6). Solve -3*d + 3*j = -0*j - 24, -5*j - 15 = x for d.
5
Let x be -1 + 3 - (4 + (2 - 9)). Suppose 13901*t - 6 = 13899*t. Solve 0 = 3*b - x*l - 1 + 7, 0 = t*b + 3*l + 6 for b.
-2
Suppose -31*c = -3977 + 3946. Solve 2*j + 135 = -5*h + 138, 2*h = -3*j - c for h.
1
Suppose 0 = 3*z - 42 + 6. Suppose 5*b | {
"pile_set_name": "DM Mathematics"
} |
2 + 2)*(2*n - 3*n + 2 - 3) to u + i*n and give u.
-1
Express -6 - 2 - 3*c**2 - c**2 + 6*c**2 as v*c**2 + n*c + h and give h.
-8
Rearrange -7*z + 5*z - 6*z - 37*z to the form r*z + b and give r.
-45
Rearrange -15*u**3 - u**2 + 5*u**3 - 44*u**3 to w + l*u + b*u**3 + g*u**2 and give g.
-1
Rearrange -20*q + 20*q + 15*q**2 to t*q**2 + w*q + i and give t.
15
Rearrange -3*v**4 + 2*v - 3*v**4 - 1 + 5*v**4 + 5*v**4 to k*v + w*v**4 + n + o*v**3 + s*v**2 and give n.
-1
Express 23*u - 4*u**2 + 9*u**2 - 43*u - 2 + 17*u + u**4 as p*u**3 + g*u**4 + n*u**2 + m*u + r and give m.
-3
Express 84*o - 65*o - 96*o in the form y + q*o and give y.
0
Rearrange (-2*q**3 + 0*q**2 + 0*q**2)*(3*q - 5*q - q + (-q - 1 + 1)*(-3 + 1 - 2)) to the form f*q**3 + x*q**4 + j + m*q + o*q**2 and give x.
-2
Rearrange 34*j**3 - 49*j**3 + 39*j**3 - 4*j**2 to the form x*j**2 + z*j**3 + s + b*j and give x.
-4
Express 30*g - 2*g**3 + g**4 + 0*g**4 - 8 - 31*g in the form k*g**2 + j*g**4 + y*g**3 + o + w*g and give w.
-1
Express -14*g**2 + 16*g**2 - 4*g**3 - 2 + 5*g**3 as c + k*g**3 + m*g**2 + d*g and give m.
2
Rearrange 11*p - 10*p - 7*p to n*p + d and give n.
-6
Express -69*q**2 + 582*q - 582*q as s*q**2 + d*q + c and give d.
0
Express s**3 - s**4 + 2 + 3*s**2 - 2*s - s**3 - 2*s**2 in the form y*s**2 + d*s**4 + x*s**3 + o + v*s and give y.
1
Express b**2 + 3*b**2 + 14*b - 3*b**2 + b**2 as x + w*b**2 + t*b and give t.
14
Express 86*i - 1 + i**3 - 5*i**4 + 3*i**2 - 86*i in the form b*i + y*i**3 + a*i**2 + v*i**4 + k and give k.
-1
Rearrange -95 - r + 46 + 51 to the form p*r + u and give u.
2
Express -6*z - 1 + 0*z**3 + z**3 - z + z**3 as r*z**3 + c*z**2 + g + k*z and give g.
-1
Rearrange 47 + 87*f - 38*f - 47 to p + x*f and give x.
49
Express 13*r - 16*r - 73*r + 0 + 1 as f*r + m and give f.
-76
Rearrange -4*i**4 + 3*i - 5*i - 2*i**2 - 1 + 2*i to k*i**2 + g*i**4 + a*i**3 + b*i + s and give k.
-2
Rearrange -5*y**4 + 9*y**4 + 10*y**4 + (-2 - 1 + 1)*(0*y**3 + 0*y**3 + 3*y**4) to c*y**3 + d*y**2 + b + s*y + a*y**4 and give a.
8
Rearrange -7*q - 8*q - 7*q - 3*q to d + r*q and give r.
-25
Express -16*o**3 + 10*o**3 - 1 + 5*o**3 + 6*o**2 as z*o**3 + n*o**2 + m*o + x and give z.
-1
Rearrange (-3*x + x + x)*(x - x + x) - 649*x + 649*x - 3*x**2 - 2*x**2 - x**2 + x**2 + (-1 + 2 + 1)*(3*x**2 + 2*x**2 - 6*x**2) to n*x**2 + b + v*x and give n.
-8
Rearrange -2 + 0 + 2 + t**2 + t**3 + 3 to the form z + f*t + q*t**3 + o*t**2 and give o.
1
Express 263 + 2*a**3 - 3*a**3 - 267 + 4*a as p + y*a + x*a**2 + s*a**3 and give p.
-4
Express -10 + 0*b - 2*b + 1 + 4*b - 2*b - 3*b - b - 3*b + 3*b + (-4*b + 3*b - b)*(-1 - 5 + 4) + 3*b + 2 - 2 as j*b + t and give j.
3
Rearrange 0 - d - 11*d**3 - 2 + d**4 + 14*d**3 to q*d**3 + x + c*d**2 + r*d + z*d**4 and give r.
-1
Rearrange 0*m - 2*m - 4*m**4 - m**4 + 2*m**4 + 2*m**2 to the form q + z*m**2 + s*m**4 + k*m**3 + n*m and give z.
2
Rearrange 74*n - 42*n - 37*n to l*n + z and give l.
-5
Rearrange -3*y + 11*y + 2*y - 1 + 2*y to q*y + p and give q.
12
Express -v**4 + 8*v**4 - 5*v - 6*v**4 + 2*v - v**2 in the form n*v**4 + z + f*v**3 + a*v**2 + i*v and give a.
-1
Express (-1 + y + 1)*(-3*y - 19*y - 12*y) as o*y**2 + j*y + p and give p.
0
Rearrange -6*x**2 + 11*x**2 - 4*x**2 + 4*x**2 - 2*x to the form v*x**2 + g*x + q and give g.
-2
Express (7*i - 120*i - 79*i)*(-1 + 3 - 3)*(1 - 4 + 4) as z + w*i and give z.
0
Rearrange 14 - 6*u - 25 + 13 to t*u + b and give t.
-6
Express 31*g**2 + 3*g**2 + 21*g**2 - 11*g**2 as a*g + l*g**2 + z and give l.
44
Rearrange -32 + 21 - 14*a + 11 to the form t*a + z and give z.
0
Rearrange -5*q + 3*q + 0*q - 12*q + 0*q + 0*q + (0*q - 2*q + 0*q)*(4 + 1 - 1) to the form d*q + p and give p.
0
Express 8*f**2 - f**4 + 5*f**2 - 3*f**2 + f - 8*f**2 in the form n*f**4 + z*f**2 + v + c*f + b*f**3 and give v.
0
Rearrange (-1 + 4 + 2*a - 1)*(-11 + 2 + 1 - 3 - 1 + 1 + 0 - 3 + 4 + (-5 + 2 + 1)*(-2 - 1 + 5) + 2 + 0 - 4) to v*a + r and give r.
-32
Rearrange 2*o**4 + 8 - 5*o**3 + 4*o**3 - o**2 - 4 to x*o**2 + d + q*o + v*o**3 + p*o**4 and give x.
-1
Express 4*p**2 - 599 - 5*p**2 + 13*p + 595 in the form c*p**2 + l + f*p and give c.
-1
Rearrange (5 + 2 - 5)*(-2*g - g + g)*(-216 + 182 + 257) to the form s + c*g and give c.
-892
Rearrange -72*h + 72*h - 6*h**2 to f*h**2 + n*h + d and give n.
0
Rearrange (-1 + 3 - 1)*(-13*f**2 - 53*f**2 + 6*f**2) to g*f**2 + b*f + s and give g.
-60
Rearrange 1 - 8*b + 2*b + 0 + 22*b to the form a*b + v and give a.
16
Express 0*s - 4 + 3 + 2*s + 3 + 7*s**2 as p*s**2 + n + d*s and give d.
2
Express 2 - 11*v**4 + 3*v**2 + 0*v**3 - v**3 + 14*v**4 in the form f*v**3 + t*v + j*v**2 + g*v**4 + y and give g.
3
Express (-d - 5*d + 3*d)*(0*d + 0*d + d) + 3 + 2*d**2 - 1 - 3 as p*d**2 + f*d + l and give p.
-1
Rearrange (0*y - 13*y + 2*y)*(-1 - 2*y**2 + 1) to a + u*y + z*y**3 + q*y**2 and give a.
0
Rearrange 4*k**3 + k**2 + 10*k + 4*k - 15*k to z*k**2 + m + h*k**3 + w*k and give h.
4
Express -7*g**4 + 42*g**2 - 2*g**3 + 0*g**4 - 3*g - 44*g**2 + 1 as f*g**2 + q*g + w*g**3 + x + a*g**4 and give w.
-2
Express (-2 + 0*k - 2*k + 6*k)*(-60*k**3 - 5*k**3 + 5*k**3) as u*k**4 + l*k + i*k**3 + v + h*k**2 and give l.
0
Rearrange -1 + 2*h - 2 - h**3 - 1 + 3 + h**2 to the form l + m*h**3 + p*h**2 + a*h and give l.
-1
Rearrange 13968 - 13968 - 2*m to p + w*m and give w.
-2
Express 3*l**2 - 4*l**3 + 2*l**3 + 11*l - 13*l - 2 as j*l**2 + c*l**3 + o + k*l and give j.
3
Rearrange (5*t - 2*t**2 + 3*t**2 - 4*t)*(0*t - t - 15*t) to the form l*t + g*t**2 + x + s*t**3 and give s.
-16
Express 2*t**4 + 2*t**4 + 3*t**2 + 3*t**3 + 2*t**4 - 4*t**4 in the form m*t**4 + o + w*t**2 + p*t**3 + r*t and give p.
3
Express (-3*y**2 + 2*y**2 + 0*y**2)*(3*y + 3*y - 7*y)*(4*y + 0*y + 0*y) as a*y**3 + t*y**2 + p + o*y**4 + c*y and give o.
4
Express (-1 + 1 - 2*j)*((-4 + 4 + 2*j**2)*(-2 - j + 2) + (12*j**2 + j**2 + 5*j**2)*(-1 + 1 + 2*j)) as s + x*j**2 + i*j**3 + v*j + t*j**4 and give t.
-68
Rearrange -3*z - 4*z + 1 + 25*z + 2 to the form l*z + p and give p.
3
Express 6*s - 19*s**2 - 6*s in the form j*s**2 + x*s + c and give j.
-19
Rearrange (2*l**2 + 0*l**2 - 3*l**2)*(-8*l + 2*l - l) + 2*l**3 - 2*l**3 - 2*l**3 to f + i*l**2 + r*l + a*l**3 and give i.
0
Express ((4*g + 0*g - 2*g)*(g + g - g) + (-4 - 2 + 4)*(-g**2 - 2*g**2 + 6*g**2))*(-g + 17*g**2 + g) as y*g**2 + h + m*g**4 + r*g + c*g**3 and give m.
-68
Rearrange (2 - 2 + 2*h**3)*(1 + 2 - 2) + (-6*h + 3*h + 4*h)*(-h**2 - 4*h**2 - 3*h**2) to d*h**2 + x + u*h + i*h**3 and give i.
-6
Express 2*b - 2*b - 3*b**2 + (2*b + b - 2*b + 1)*(-4*b - b + 2*b) in the form m + v*b**2 + s*b and give s.
-3
Express 2*t**2 - t + t + (-t**2 - 3*t**2 + 2*t**2)*(6 + 0 - 1) as y*t + m + s*t**2 and give s.
-8
Express 8 + l - l - l**4 - 2*l**3 - 12 in the form q*l**4 + o*l**2 + s*l**3 + t*l + c and give s.
-2
Rearrange -1409 + 6*r**3 + 1409 - r**4 + r**2 to the form k + b*r**4 + s*r + t*r**2 + c*r**3 and give c.
6
Rearrange (-2 + 2 - 1)*(0*z + z + 2*z + (-3 + 3 + 2*z)*(-4 - 1 + 4) + 3*z - 4*z + 5*z) + 0 + 2*z + 0 to h*z + j and give h.
-3
Rearrange (-3*c + 5*c - 4*c)*(-79*c**2 + 79*c**2 - 36*c**3) to the form k*c**4 + q*c**2 + i*c**3 + p + d*c and give k.
72
Express (4*d - 2*d + 0*d)*(191*d**2 - 92*d**2 + 2 - 78*d**2) in the form p*d**3 + g*d**2 + k*d + y and give y.
0
Rearrange (2 - 4 - 4)*(0 + 0 - 3*l)*(1 + 0 - 3) to the form v*l + y and give v.
-36
Rearrange 24*g - 84 + 31*g + 84 to the form u*g + q and give u.
55
Express 2*o**2 + 2*o**2 + 41 - 35 as n + v*o + f*o**2 and give n.
6
Express (-3*y + 4*y + 2*y)*(-80*y**2 + 80*y**2 - 5*y**3) in the form x*y**4 + i*y + f*y**3 + u*y**2 + t and give x.
-15
Rearrange 4 + 35*p**3 - 29*p**3 - 3 to s + k*p**3 + f*p**2 + u*p and give s.
1
Express (1 + 24*t - 2 - 23*t)*(1 - 2*t - 1 + (2*t - 3*t + 2*t)*(-1 - 2 + 4)) in the form q + u*t**2 + i*t and give i.
1
Express (3*c - c - 3*c)*((-c + 5*c - 3*c)*(0 - 1 + 0) + 0 + 0 - 18*c) in the form t + n*c + m*c**2 and give m.
19
Rearrange (0 - 2 - 1)*(17*r**2 - 16*r**2 + 32*r**2) to the form f + a*r**2 + m*r and give a.
-99
Express -2 + 4*z**2 - z**2 - 18*z**3 - z**2 - 613*z + 614*z as a*z**3 + q*z + s + c*z**2 and give a.
-18
Rearrange ((1 + 0 + 0)*(-2*l + 5*l - l) - l - 3*l + 6*l)*(-1 - 3 + 5) to x + p*l and give p.
4
Express (3*w**3 + 2*w**3 + 4 - w**3)*(1 - 6 + 1) in the form z + | {
"pile_set_name": "DM Mathematics"
} |
- 2*d + 139*d**2 - 232*d**2 - 3*d - 128 wrt d.
-694*d - 1
Let v(c) be the first derivative of 693*c**4/4 + 1231*c**3/3 + 1636. Find the third derivative of v(d) wrt d.
4158
Let o(y) be the first derivative of y**6/6 + 73*y**4/4 + y**3 - y**2/2 - 1666*y - 1365. What is the second derivative of o(d) wrt d?
20*d**3 + 438*d + 6
Let n(h) be the third derivative of 1061*h**5/20 - 325*h**3 - 2503*h**2. Differentiate n(l) with respect to l.
6366*l
Let m(v) be the first derivative of 0*v + 77/4*v**4 + 0*v**2 + 103 - 86/3*v**3. Find the third derivative of m(t) wrt t.
462
What is the third derivative of 3*y**2 + 180 - 39 - 4273*y**4 + 199 - 31 wrt y?
-102552*y
Let l(f) = 888*f**4 + 1677*f**2 - 15*f - 15. Let i(d) = d**4 - d**2 + d + 1. Let m(g) = 15*i(g) + l(g). Find the third derivative of m(x) wrt x.
21672*x
What is the second derivative of -180*l + l**3 - 233*l - 533*l + 57*l**4 - 2*l**3 + 131*l wrt l?
684*l**2 - 6*l
What is the third derivative of -1145*b**2 + 15107*b**3 - 3*b**4 - 2002*b**2 - 826*b**5 - 15107*b**3 wrt b?
-49560*b**2 - 72*b
Let s = 67 - 61. Let j be (0 - -73) + 1 + (3 - s). Find the second derivative of j - 34 + 19*z**5 - 37 - 20*z wrt z.
380*z**3
Let w(a) be the first derivative of -13 - 3/2*a**3 + 5*a**2 + 0*a - 13/24*a**4. Let g(h) be the second derivative of w(h). Differentiate g(m) wrt m.
-13
Let d(o) = o**2 + 3*o - 15. Let s be d(6). Find the first derivative of -7*i + s - 6 - 17*i - 14*i wrt i.
-38
Let j(y) = -y**2 - 6*y + 57. Let h be j(5). Let c = 1 + 40. Find the first derivative of -30 + 7*t**h - c + 64 wrt t.
14*t
Let g be 1*12/4 - 1131. Let r be g/(-104) + (-2)/(-13). Find the second derivative of -r*k**3 + 14*k**3 - 29*k - 9*k**3 wrt k.
-36*k
Find the first derivative of -2109*i + 2204*i - 1435 - 5145 - 2618*i - 2107*i wrt i.
-4630
Let f be -2*(-2)/2 + (-150)/(-2). Find the third derivative of 1934*m**2 + 6 - f*m**3 + 24 - 1936*m**2 wrt m.
-462
Let j(u) = 688*u**2 - 24*u + 6798. Let k(o) = -689*o**2 + 16*o - 6792. Let h(z) = 2*j(z) + 3*k(z). Find the first derivative of h(y) wrt y.
-1382*y
Find the second derivative of -2*y**2 + 1 + 4 - 523*y - 5*y**3 + 522*y wrt y.
-30*y - 4
Let f(q) be the first derivative of -1895*q**4/4 - 117*q - 1414. Differentiate f(t) wrt t.
-5685*t**2
Let x(i) be the second derivative of -i**7/21 - 1513*i**4/12 - 277*i**3/2 - 521*i. What is the second derivative of x(n) wrt n?
-40*n**3 - 3026
Let b = -3885 - -3890. Let s(m) be the second derivative of -3/20*m**b + 0*m**4 - 19*m + 0*m**3 + 0 - m**2. Differentiate s(p) wrt p.
-9*p**2
Let b(t) = -351*t**4 + 8*t**3 - 632*t - 1. Let y(f) = -1756*f**4 + 44*f**3 - 3159*f - 6. Let j(k) = -11*b(k) + 2*y(k). Find the second derivative of j(g) wrt g.
4188*g**2
Let n be 6/4 - (-9)/(-6). Suppose -3*o - 8 = -2*s, -o + 4*s - 2*s - 8 = n. What is the third derivative of 26*l**3 + o + 0 - 4*l**2 wrt l?
156
Let u(q) = -568*q**3 + 490*q**2 + 6*q - 12. Let k(x) = -x**3 - 4*x**2 - x + 2. Let m(p) = 6*k(p) + u(p). Find the third derivative of m(c) wrt c.
-3444
Let z = -1731 - -1736. Let l(g) be the second derivative of -11/2*g**2 + 0*g**3 + 0*g**4 + 4*g + 3/20*g**z + 0. What is the first derivative of l(t) wrt t?
9*t**2
Let x(k) = 14*k**2 - 10*k + 697. Let a(h) = 27*h**2 - 18*h + 1405. Let l(t) = 4*a(t) - 7*x(t). Find the first derivative of l(v) wrt v.
20*v - 2
Let d(i) = -2*i + 4. Let g(h) = h - 1. Suppose b - 4 = -6. Let k(p) = -p - 1. Let j(x) = b*g(x) - k(x). Let a(f) = -2*d(f) + 3*j(f). Differentiate a(q) wrt q.
1
Let o(i) = -781*i**2 + 4972*i. Let r(q) = 776*q**2 - 4971*q. Let n(b) = 5*o(b) + 4*r(b). What is the second derivative of n(y) wrt y?
-1602
Find the second derivative of 285*q**2 + 750 + 47*q + 746 - 2245 + 754 wrt q.
570
Let a(z) be the first derivative of 5*z**6/6 - 459*z**4/2 - 172*z**2 - 3*z + 8451. What is the second derivative of a(r) wrt r?
100*r**3 - 5508*r
Let k be (-17 + 14)/((-12)/44) + -4. Let t(n) be the second derivative of 11/3*n**3 + 0 - k*n**2 - 14*n. What is the derivative of t(z) wrt z?
22
Let c(z) be the first derivative of -104*z**5/5 + z**4/4 + 3*z**2/2 + 5105*z + 1417. What is the derivative of c(g) wrt g?
-416*g**3 + 3*g**2 + 3
What is the derivative of 41574*s**4 + 734 - 72210*s**4 + 35072*s**4 - 9578 wrt s?
17744*s**3
Let l(g) be the first derivative of 3*g**4/4 - 2*g**3/3 + 7*g**2/2 + 2326*g - 235. What is the first derivative of l(o) wrt o?
9*o**2 - 4*o + 7
Let u be -4 + (-6 + -4)*-1. Find the first derivative of 7 - 30 - u*l - 17 - l**3 + 0 wrt l.
-3*l**2 - 6
Suppose 17*c = 14 + 20. Find the third derivative of 47*p**c + 75*p**2 + 2*p**2 - 116*p**4 wrt p.
-2784*p
What is the first derivative of 5*g + 64184 - 23034 - 27861 + 2*g**2 + 41*g - 2*g**3 wrt g?
-6*g**2 + 4*g + 46
Let n(s) be the second derivative of 0 + 22*s**2 - 26*s + 73/6*s**3. What is the first derivative of n(x) wrt x?
73
Suppose 5*w + 4*r = 280, w - 5*r - 183 = -3*w. What is the second derivative of 31*d**2 - 2892 + w*d + 2892 wrt d?
62
Find the first derivative of -5070 - 4762736*o + 4760246*o + 771 wrt o.
-2490
Let r(n) be the first derivative of 13*n**6/2 + 19*n**3/3 - 37*n**2/2 + 4*n - 2469. What is the second derivative of r(h) wrt h?
780*h**3 + 38
Differentiate -2314 - 2683 + 19*v**3 + 145*v**3 - 165*v**3 + 0*v**2 - 4*v**2 + 73*v with respect to v.
-3*v**2 - 8*v + 73
Suppose s - 2*t - 127 = 0, 4*t = 4*s - s - 371. Find the second derivative of 217*v - 102*v + 23 - s*v - 222*v**2 - 5 wrt v.
-444
Suppose 0 = 2*w + 5*p + 6, 2*p = w + w - 8. What is the second derivative of 40*q**w - 51*q - 36*q + 15*q - 68*q wrt q?
80
Let z = -35 - -50. Suppose 21 = w - m - 3*m, -2*m = -w + z. What is the second derivative of w*c + 20*c**5 + 13*c**5 - 24*c**5 wrt c?
180*c**3
Let r be (-12)/(-2) + (2 - 54/9). What is the second derivative of -99 - 75*p**r - 80 - 3*p + 200 wrt p?
-150
Suppose -32 = -3*m + 1. What is the second derivative of -13*h**2 - 39*h + m*h**2 - 2*h**3 + 4 + 43*h wrt h?
-12*h - 4
Let n(m) be the second derivative of 0*m**2 + 103/42*m**7 + 37 - 1/30*m**6 + 59/3*m**3 + 0*m**4 + 0*m**5 + m. What is the second derivative of n(u) wrt u?
2060*u**3 - 12*u**2
Find the third derivative of 821*q - 27*q**2 + 26*q**2 - 53*q**3 - 9151*q**4 + 9158*q**4 wrt q.
168*q - 318
Let r(s) = -6561*s**2 - 234*s - 90. Let p(a) = -13122*a**2 - 469*a - 168. Let o(m) = 8*p(m) - 15*r(m). What is the second derivative of o(i) wrt i?
-13122
Let y(p) be the third derivative of 3157*p**4/24 - 3521*p**3/6 - 1958*p**2. Find the first derivative of y(j) wrt j.
3157
Let w(g) = -113*g - 199. Let d(b) = b + 4. Let n(j) = -8*j - 23. Let v(l) = -6*d(l) - n(l). Let z(o) = v(o) + w(o). Find the first derivative of z(x) wrt x.
-111
Let u(n) = -217*n**3 - 3*n + 146. Let q(j) = 430*j**3 - j**2 + 5*j - 294. Let h(m) = 3*q(m) + 5*u(m). What is the first derivative of h(s) wrt s?
615*s**2 - 6*s
Let b(t) = t**3 + t**2 - 3*t. Let l(r) = -328*r**3 + 5*r**2 - 33*r + 7. Let z(u) = -4*b(u) + l(u). What is the second derivative of z(n) wrt n?
-1992*n + 2
Let x(m) = -203*m + 145. Let d(a) = 101*a - 72. Let n(l) = -13*d(l) - 6*x(l). Let o(v) = 47*v - 33. Let p(c) = 2*n(c) + 5*o(c). Differentiate p(z) wrt z.
45
Let z(x) be the third derivative of -3*x**6/20 - 4*x**5/15 - 89*x**4/2 + 585*x**2. What is the second derivative of z(n) wrt n?
-108*n - 32
Let g(t) be the third derivative of -13*t**2 - 11/20*t**5 - 4/105*t**7 + 0*t**4 + 0 + 0*t**3 + 0*t**6 - 2*t. What is the third derivative of g(h) wrt h?
-192*h
Let u = -22 - -49. Suppose -r + 5*n = -25, r - 4*r = -3*n - u. What is the third derivative of -3*l**2 - 143*l**5 + 156*l**r + 4*l**2 wrt l?
780*l**2
Let b be -4 - (-1 + -1) - -4. Suppose b*q + f + 1 = 0, 2*q = -2*q - 4*f - 12. Find the second derivative of -16*m - 11*m + 637*m**2 - 613*m**q wrt m.
48
Let a(c) be the third derivative of 5*c**8/42 + c**6/30 - 56*c**5/3 - 16*c**2 - 48*c. What is the third derivative of a(i) wrt i?
2400*i**2 + 24
Let c(r) be the third derivative of -223*r**8/112 + 19*r**5/60 + 5*r**4/8 - 1132*r**2 + 3. Find the third derivative of c(u) wrt u.
-40140*u**2
Let h(l) be the first derivative of -18*l**2 + 18 - 19*l**2 - 2*l**2 + 49*l - 109*l. Find the first derivative of h(b) wrt b.
-78
Suppose -7*w = -11*w - 572. Let l = -141 - w. Differentiate -67 + 27 + 23 - 37*p - l*p**2 + | {
"pile_set_name": "DM Mathematics"
} |
lculate the remainder when 28858581 is divided by 244.
213
What is the remainder when 5175591 is divided by 92?
39
What is the remainder when 260869642 is divided by 7927?
7926
What is the remainder when 2198408 is divided by 263?
254
Calculate the remainder when 6197867 is divided by 370.
367
Calculate the remainder when 1470978 is divided by 9897.
6222
Calculate the remainder when 30339190 is divided by 10113062.
4
What is the remainder when 1933855 is divided by 1933644?
211
What is the remainder when 9501671 is divided by 259?
256
What is the remainder when 1068088 is divided by 1271?
448
Calculate the remainder when 3230524 is divided by 646086.
94
What is the remainder when 80104 is divided by 1501?
551
What is the remainder when 95368 is divided by 31562?
682
Calculate the remainder when 7698258 is divided by 61.
58
What is the remainder when 32876313 is divided by 2405?
2368
Calculate the remainder when 18344 is divided by 1875.
1469
What is the remainder when 1050719 is divided by 7725?
119
What is the remainder when 40527514 is divided by 1625?
14
What is the remainder when 16211 is divided by 7529?
1153
Calculate the remainder when 13671834 is divided by 905.
904
What is the remainder when 100307 is divided by 596?
179
Calculate the remainder when 217103 is divided by 3566.
3143
What is the remainder when 15177752 is divided by 875?
2
What is the remainder when 43436 is divided by 42940?
496
Calculate the remainder when 1531973 is divided by 218848.
37
Calculate the remainder when 704591 is divided by 7117.
8
Calculate the remainder when 4688340 is divided by 275782.
46
Calculate the remainder when 23274378 is divided by 14.
8
What is the remainder when 6413 is divided by 1336?
1069
Calculate the remainder when 34720 is divided by 1186.
326
What is the remainder when 2050410 is divided by 48?
42
Calculate the remainder when 35950 is divided by 285.
40
Calculate the remainder when 428818 is divided by 13830.
88
Calculate the remainder when 93987074 is divided by 64774.
0
Calculate the remainder when 10850735 is divided by 1133.
1127
What is the remainder when 212066 is divided by 8581?
6122
Calculate the remainder when 2159928 is divided by 3612.
3564
What is the remainder when 29529465 is divided by 88?
9
Calculate the remainder when 136518419 is divided by 1140.
1139
What is the remainder when 5450007 is divided by 18?
3
Calculate the remainder when 18356 is divided by 6114.
14
Calculate the remainder when 101497 is divided by 3716.
1165
Calculate the remainder when 179598 is divided by 86789.
6020
What is the remainder when 291451 is divided by 2026?
1733
Calculate the remainder when 1025499 is divided by 20928.
27
What is the remainder when 49139 is divided by 664?
3
Calculate the remainder when 2518906 is divided by 281.
22
What is the remainder when 1141326 is divided by 1416?
30
What is the remainder when 808834 is divided by 2235?
1999
Calculate the remainder when 25645824 is divided by 604.
588
What is the remainder when 1301881 is divided by 1301758?
123
Calculate the remainder when 1184182 is divided by 296025.
82
Calculate the remainder when 285743 is divided by 504.
479
What is the remainder when 199498 is divided by 1138?
348
Calculate the remainder when 9944968 is divided by 6.
4
What is the remainder when 14021251 is divided by 4454?
59
Calculate the remainder when 112413 is divided by 2161.
41
Calculate the remainder when 4434414 is divided by 100.
14
What is the remainder when 14889 is divided by 4177?
2358
Calculate the remainder when 586576 is divided by 14663.
56
Calculate the remainder when 22625624 is divided by 57.
44
Calculate the remainder when 228934 is divided by 1187.
1030
Calculate the remainder when 324831 is divided by 361.
292
What is the remainder when 100250683 is divided by 100250671?
12
Calculate the remainder when 98971 is divided by 16355.
841
Calculate the remainder when 5238762 is divided by 1309689.
6
Calculate the remainder when 21631285 is divided by 49.
39
Calculate the remainder when 405249 is divided by 161.
12
What is the remainder when 30090 is divided by 753?
723
What is the remainder when 169725501 is divided by 875?
1
Calculate the remainder when 198483 is divided by 2176.
467
Calculate the remainder when 2643142 is divided by 2643135.
7
What is the remainder when 86831044 is divided by 66?
58
What is the remainder when 219313 is divided by 31052?
1949
What is the remainder when 33937289 is divided by 30?
29
Calculate the remainder when 239457 is divided by 27.
21
Calculate the remainder when 900920 is divided by 52995.
5
What is the remainder when 418194 is divided by 255?
249
Calculate the remainder when 8844854 is divided by 1089.
1085
What is the remainder when 16106120 is divided by 45?
35
Calculate the remainder when 7847691 is divided by 102.
15
Calculate the remainder when 337568 is divided by 83765.
2508
What is the remainder when 11913 is divided by 11451?
462
Calculate the remainder when 16060 is divided by 483.
121
What is the remainder when 6712644 is divided by 4376?
4236
Calculate the remainder when 32570 is divided by 707.
48
What is the remainder when 1527708 is divided by 226?
174
What is the remainder when 2545633 is divided by 1272800?
33
Calculate the remainder when 1238216 is divided by 1935.
1751
What is the remainder when 1098674 is divided by 156946?
52
What is the remainder when 1040763 is divided by 14?
3
Calculate the remainder when 19943955 is divided by 123.
120
Calculate the remainder when 2489265 is divided by 497777.
380
Calculate the remainder when 7213869 is divided by 424344.
21
Calculate the remainder when 9931561 is divided by 261.
250
What is the remainder when 474007 is divided by 156890?
3337
Calculate the remainder when 130674 is divided by 174.
0
Calculate the remainder when 3266976 is divided by 9665.
206
What is the remainder when 1940392 is divided by 691?
64
What is the remainder when 3629714 is divided by 390?
374
Calculate the remainder when 5749528 is divided by 821361.
1
Calculate the remainder when 77869 is divided by 14645.
4644
What is the remainder when 28346 is divided by 1887?
41
Calculate the remainder when 43984233 is divided by 389241.
0
Calculate the remainder when 73194609 is divided by 10.
9
What is the remainder when 124100 is divided by 7202?
1666
Calculate the remainder when 1730671 is divided by 216332.
15
What is the remainder when 17138347 is divided by 94?
79
Calculate the remainder when 1314281 is divided by 2148.
1853
Calculate the remainder when 468340 is divided by 10761.
5617
What is the remainder when 1075938 is divided by 3687?
3021
What is the remainder when 174748 is divided by 1822?
1658
Calculate the remainder when 540926 is divided by 28469.
15
What is the remainder when 15022637 is divided by 898?
893
Calculate the remainder when 9977752 is divided by 2127.
2122
Calculate the remainder when 53992991 is divided by 16.
15
Calculate the remainder when 355338 is divided by 2928.
1050
Calculate the remainder when 36467508 is divided by 12987.
12
What is the remainder when 39992682 is divided by 5713237?
23
What is the remainder when 25977089 is divided by 2306?
2305
What is the remainder when 865491 is divided by 6633?
3201
What is the remainder when 65314 is divided by 3558?
1270
What is the remainder when 762944212 is divided by 20?
12
What is the remainder when 85243 is divided by 5298?
475
What is the remainder when 419017 is divided by 174?
25
What is the remainder when 2401139 is divided by 800378?
5
Calculate the remainder when 44642 is divided by 445.
142
Calculate the remainder when 5664556 is divided by 88.
84
What is the remainder when 2199968 is divided by 4365?
8
What is the remainder when 1184047 is divided by 2673?
2581
What is the remainder when 117225228 is divided by 29306307?
0
What is the remainder when 97840559 is divided by 80?
79
Calculate the remainder when 2596372 is divided by 92723.
128
What is the remainder when 16972 is divided by 11?
10
Calculate the remainder when 1272312 is divided by 1345.
1287
What is the remainder when 1610313 is divided by 131?
61
What is the remainder when 18254677 is divided by 79368?
37
What is the remainder when 9705140 is divided by 27?
17
What | {
"pile_set_name": "DM Mathematics"
} |
/4)))**24/(k*k**6)**(-21))**(15/8) assuming k is positive.
k**(2835/8)
Simplify ((v**(-1/2))**(3/7)/((v/(v/v**3))/v**(-6)))/(v/(v/(v*v**(-1/2)/v))*v/v**1*v/(v*(v/(((v**(-1)*v)/v)/v))/v*v)*v**(-1/4)) assuming v is positive.
v**(-153/28)
Simplify (t*(t/(t**(-11)*t))/t*t*t*t/t**5*t*t*t**(-16)*t*t*t**20)**40 assuming t is positive.
t**680
Simplify ((t*t/(t/(t**(1/3)/t))*t)/t**6*((t/(t/(t*t/(t*t**(-1)*t))))/t)**(-27/7))/(t**(2/13)/t**2*((t/t**(2/13))/t)/t**(5/4)) assuming t is positive.
t**(-17/12)
Simplify (p/p**(-2))**(1/45)/((p/p**(-4))/(p**(-1/4)/p))*(p**1*(p*p**10)/p*p)**42 assuming p is positive.
p**(29869/60)
Simplify ((((t**(2/33)/t)/t)/t**(2/5))/((t/t**(-4/7)*t)/t**(-3)))/(t**(-2/21)*t/t**(-3)*(t/(t/t**(-3/8)))/t*t**(2/3)) assuming t is positive.
t**(-102631/9240)
Simplify (((j*j**(-1)*j)/j)**(-2/29))**23/((((j*j**(-4/7))/j)/j**(-2/5))/(j*j/j**(-2/5)*j)**(-1/18)) assuming j is positive.
j**(-11/630)
Simplify ((p/p**(6/5))/p*p*p**(-4/3)*p*p*p**13*p*p**(-3/5))**(-42) assuming p is positive.
p**(-2912/5)
Simplify (t/((t*t**(-1)*t)/t))**(-2/79)*(t**1)**(-32/7)*(((t**(-1)*t)/t)/t**(-1/6))/((t/((((t*t**(2/19))/t)/t)/t))/(t/t**(-6))) assuming t is positive.
t**(-83519/63042)
Simplify (a/(a/a**2)*a)**6*a**5/(a/a**(-3/5))*a**(-5)/a**4*a**5/((a**(-8)*a*a)/a) assuming a is positive.
a**(122/5)
Simplify ((f*f**(-2)/f)**(-1/38))**(-26)/(((f*f*f**(-1/6)*f*f*f)/(f*f**(-2/9)))/(f/(f*f**(-2/9)*f))**(4/11)) assuming f is positive.
f**(-21469/3762)
Simplify ((o**(-3/4)*o)/o*o*o/o**9*o**(-16)/(o/o**(-1/7)*o))**(-17) assuming o is positive.
o**(12325/28)
Simplify ((s**24/(s*s*s*s**(7/4)/s))/((s/((s/(s/s**10))/s))/(s**(-1/2)*s)))**3 assuming s is positive.
s**(345/4)
Simplify (((s**3*s*s*s/(s/(s**(-6)*s)))**(3/5))**(-16))**(-44) assuming s is positive.
1
Simplify ((c/((c/(((c*c/(c/c**(7/2))*c*c*c)/c)/c*c*c)*c)/c)*c)/(c**22*c))/(c*c**(-15)*c**(2/35)) assuming c is positive.
c**(-39/70)
Simplify ((i**1)**(-25)*i**(-1/6)/i**(2/3))/(i/(i/(i/i**(3/4))*i)*i**(-5)*i**(-1/8)/(i*i/i**(2/13)*i*i)) assuming i is positive.
i**(-5027/312)
Simplify ((l*l*l**2*l*l)/l**(4/7))**(10/11)/((l**(3/5)/l**(-9))/((l/(l**(-1/9)/l)*l*l*l)/(l*l/l**(1/10)*l))) assuming l is positive.
l**(-3401/1386)
Simplify ((q*q/((q/q**(-2/3))/q))**(-22))**(-20)/((q/q**(1/4))**(-5/6))**(-4/19) assuming q is positive.
q**(66865/114)
Simplify (b**(1/6)*b**(-1/5)*b**(-3/5)/(b*b*((b*b*b/(((b**3/b*b*b)/b)/b))/b)/b*b))/((b*b*b/(b**1/b)*b)**(16/7))**(-48) assuming b is positive.
b**(91607/210)
Simplify (g**6*g*g/g**(-1))**(8/11)*(g/g**(1/4)*g)**(23/3)/(g**7/(g*g**2)) assuming g is positive.
g**(2107/132)
Simplify ((((z**7/z)/z)/z)/(z*z**(-8)))/(z**2*z)**25*z**(-1/3)*z**(-4)*(z*z**(-2/9)/z*z)**(8/3) assuming z is positive.
z**(-1789/27)
Simplify ((x*x*x**(1/3))/x*x)**19*(x*x**5)/((x/x**(-1/2))/x*x)*((x*(x/x**(2/7))/x)**50)**(-1/33) assuming x is positive.
x**(22061/462)
Simplify (w**(8/13)*w**20*w*w**(-3/5)*w**22)**(-7/10) assuming w is positive.
w**(-9786/325)
Simplify (c*c/(c*c**(-2/5))*c*c**(4/5))/(c**(2/5)*c/c**(2/7)*c)*c**(-2/9)/((c**(-4/7)*c)/c*c*c)*(c*c**4)/(c/c**(-2/19)*c) assuming c is positive.
c**(13943/5985)
Simplify (d*d*d/(d**(-33)/d))**8/(d**(-14)/(d/((d/d**(-3/2)*d)/d))) assuming d is positive.
d**(617/2)
Simplify ((t*t**(2/5)*t)/t**(-10/3))**33/((t**(2/5)*t)**(-45)*(t*t**0)**(-1/3)) assuming t is positive.
t**(3788/15)
Simplify (r/r**1)**(12/11)*(r**1)**(-35)*r*r**(-2/23)*r*r**(-1/7)*r*r**(-3/2)/r*r*r**(-3)/r assuming r is positive.
r**(-12149/322)
Simplify (r**(-6)/(r*r**(3/4)/r))**(6/17)/((r*r**(-3))/r**(-1/6)*(r/(((r/((r*r*r/(r/r**(-2/3)))/r))/r)/r*r))**(-1/16)) assuming r is positive.
r**(-95/204)
Simplify (l**8*l**8)**(4/7)*(l/(l/((l*l**(8/7)*l*l)/l))*(l**(1/5)*l)/l)**(1/6) assuming l is positive.
l**(97/10)
Simplify ((p/((((p*(p**(-15/2)*p)/p)/p)/p)/p)*p**22)/(p/(p**(6/7)*p)*p**(-11)*p))**(2/47) assuming p is positive.
p**(607/329)
Simplify (q/(q/(q*q**(2/9)/q)))**(1/6)/(q*(q/(q*q/(((q/(q/q**1))/q*q)/q)))/q)**(-35)*(q**3/q)/(((q/(q*q**5))/q)/q*q*q)*(q*q**9*q)/q**7 assuming q is positive.
q**(-647/27)
Simplify (((k**15/k)/k**(-10/9))/(k**(1/23)/k*k**4))**(-24) assuming k is positive.
k**(-19984/69)
Simplify (((t**(1/4))**(3/23)/(t**(-1/8)*(t*t/((t**(-7)/t)/t))/t))**43)**(13/6) assuming t is positive.
t**(-1012349/1104)
Simplify (n*n*n*n**(1/4)*n*((n**(-48)*n)/n)/n)/(n**(2/3)*n*(n*n*n**(-42)/n)/n*n) assuming n is positive.
n**(-65/12)
Simplify ((d**(2/5))**8)**(-8)*((d*(d*d**(2/9))/d*d)**(-1/39))**17 assuming d is positive.
d**(-46628/1755)
Simplify ((s*s**(-2/3)/s*s*s)/s)**(-4/25)/(s**6*s/(s*(s/(s**(-4/9)*s))/s)*s)*((s*s**0*s)/(s/(s**5*s)))**(-2/187) assuming s is positive.
s**(-323294/42075)
Simplify ((z/(z**(-1/4)*z*z*z))**(4/3)/(z**(-3)*z*z**(-1)*z))/((z**(-9/2)*z)/z*z*z**(-8))**(4/3) assuming z is positive.
z**15
Simplify ((o/(o**(1/4)/o))/o*o**(-4))**(-2/7)*(o**(-1))**(-2/5)*o**(-2/5)*o*o/o**3*o assuming o is positive.
o**(13/14)
Simplify ((n**(-4))**(-5))**45*(n**(2/3)*n)**(-27)/(n/n**(2/7))**(-16) assuming n is positive.
n**(6065/7)
Simplify ((m/(m*m*m*m**(1/7)*m*m))/((m/((m*m**(5/2))/m*m)*m)/m)*m**15/m**(5/6))**(1/20) assuming m is positive.
m**(263/420)
Simplify (z/(z**0*z*z)*z**(-3/4)*(z**(-2/5))**(-13))/(((z/(z/z**(-4)))/z**(1/4))/(z*z*z*z*(z**0/z*z)/z)**(-1/35)) assuming z is positive.
z**(533/70)
Simplify (t/(t*t/(t*t/t**(-1/3)))*(t/(t/((t/(t**10/t*t))/t)))/t)**(-2/13)*((t**(3/2)*t*t)**(-35))**(-20) assuming t is positive.
t**(95608/39)
Simplify ((y**(-2/3)/y)/(y/(y/(((y*y**34)/y)/y))*y))/(y/(y*y/(y**(-3)*y)))**(-7) assuming y is positive.
y**(-170/3)
Simplify ((r*(r*r**(-1/4)*r)/r*r*r)**(6/19)*r**(-1/12)/((r*r/r**(-15))/r))**(-18) assuming r is positive.
r**(10191/38)
Simplify (((o*((o*(o*o**(-44))/o*o*o)/o)/o*o)/(o**(9/2)*o))/(o/((o*(o**(10/17)/o)/o)/o))**(-27))**(4/19) assuming o is positive.
o**(1266/323)
Simplify (((p*p/p**(-1/5))**(-5/9))**(4/19))**(-41) assuming p is positive.
p**(1804/171)
Simplify (n*n/(n*n**(-2/47))*n)/n*n*n**(-1)/n*(n**(2/41))**(9/2) assuming n is positive.
n**(505/1927)
Simplify (i**(-2/3)*i**(-3/11)*i*i/(i/i**(-6/5))*i*(i/i**(-2/5)*i)/i*i)/(((i/(i*i**(-7)/i)*i)/i**(2/3))/(i*i*i**9*i*i**(-7))) assuming i is positive.
i**(-59/55)
Simplify ((y**4*y/(y**25/y))/((y/(y/y**(-4/5))*y)/(y/(y*y*y**(-4/7)))))**50 assuming y is positive.
y**(-6870/7)
Simplify ((l/(l/(l/(l**(-2)*l)*l))*l)/(l/(l*l/(l**(-26)*l)*l*l)))/(l**38*l*l*(((l*l/((l*l**(-28))/l)*l)/l*l)/l*l)/l) assuming l is positive.
l**(-38)
Simplify (((((j*j**9)/j)/j)/j*j/j**5)/(j*(j*j/j**(-4))/j*j*j)**(-4/3))**4 assuming j is positive.
j**(164/3)
Simplify ((o**(-3/10)/o**(-44))/(o**(-12))**(11/7))**(-18/7) assuming o is positive.
o**(-39411/245)
Simplify ((m**(-16)/(m*m**(1/21)))/(m**(-4/3)*m)**(-9/2))**4 assuming m is positive.
m**(-1558/21)
Simplify ((m*m**4/m)/(m**(1/2)*m))/(m**(2/7)*m*m**(2/11)*m)*(m**(-2)*m*m*m*m/((m/(m*m**5))/m))**(1/22) assuming m is positive.
m**(61/154)
Simplify (q*q**(2/5)*q)**19/(q*q**1)**(-1)*((q**(-2/7))**(2/9))**(-18) assuming q is positive.
q**(1706/35)
Simplify (s**(-1/4)*s**(-6/5)*s**(-8/5)/(s/(s/(s**(-25)/s))))**(-15) assuming s is positive.
s**(-1377/4)
Simplify (v**(-8/3)/v*v**(-1/6))**(-30)/((v/((v/v**(-11))/v))/((v/v**(-1))/v))**(-11) assuming v is positive.
v**(-6)
Simplify ((((i/(((i/((i/i**(-11)*i)/i))/i*i)/i))/i*i*(i/(i*(i**2/i*i)/i))/i)**(-36))**(-14))**(23/3) assuming i is positive.
i**42504
Simplify ((m/m**(-2/7))**(-17))**(2/85)/(m**(-3/4)*m**(-7)*m*(m*m**0)/(m*m**(-4)*m)) assuming m is positive.
m**(453/140)
Simplify ((v**4*v)/(v*v*v**2*v*v))**(-1/4)/((v*v**(-3)*v*v)/v**(-3/2))**27 assuming v is positive.
v**(-161/4)
Simplify r**(-2/5)/(r/r**(-5/4))*(r/(r**(-1)/r))**(-3/7)*(r**(2/3))**(-9)/(r**(-3)/(r*r**(4/7))) assuming r is positive.
r**(-751/140)
Simplify (d/(d**(-1)*d*d))/d**(4/23)*(d/d**(-2/15))**(3/7) assuming d is positive.
d**(251/805)
Simplify d**(12/11)*d*d*d**46*(d/(d/(((d/d**(8/13))/d)/d*d)*d))**11 assuming d is positive.
d**(4479/143)
Simplify ((r/(r**(1/4)*r)*r)/r)**21/((r*r*r**0)/(r/r**(-7)))*(r*r**(-6)*r**7)**(2/69) assuming r is positive.
r**(223/276)
Simplify ((l**(-7/3))**(-41)/(l**(-5/7)/l*l/(l/(l*l**(-5/4)/l))))**(1/17) assuming l is positive.
l**(8285/1428)
Simplify (((t**(2/3)*t**7)/(t**1*t)**(1/4))**(2/7))**28 assuming t is p | {
"pile_set_name": "DM Mathematics"
} |
*v**3/3 + 2*v**2 + 8*v + 20. Factor d(i).
2*(i - 359)*(i + 1)
Let q = -13 - -48. Suppose -76 = -4*l - 4*h, -5*h - 33 = -0*l - 3*l. Factor -23 + q - l*y + 3*y**2 + 4*y.
3*(y - 2)**2
Let l(o) be the first derivative of o**5/40 + 5*o**4/32 - o**3/2 - 9*o**2/4 + 1918. Solve l(y) = 0 for y.
-6, -2, 0, 3
Let s(q) be the first derivative of 18*q**2 + 3/2*q**4 + 38 - 3/25*q**5 - 108/5*q - 37/5*q**3. Factor s(h).
-3*(h - 3)**2*(h - 2)**2/5
Let z = -12103 + 36313/3. Let i = -464/3 + 156. Factor 2/3*n - 2/3*n**3 + z*n**2 - i.
-2*(n - 2)*(n - 1)*(n + 1)/3
Let a be (2 + 6)*(-224)/(-448). Let q(i) be the first derivative of -1/12*i**3 + 3/8*i - 1/40*i**5 - 28 + 1/8*i**a - 1/4*i**2. Factor q(w).
-(w - 3)*(w - 1)**2*(w + 1)/8
Find z such that -23*z - 3*z**3 - 106*z**2 + z**3 + 82*z**2 + z = 0.
-11, -1, 0
Determine a so that 5/4 + 43/6*a**2 - 9/2*a**3 + 11/12*a**4 + 1/12*a**5 - 59/12*a = 0.
-15, 1
Let z = 4 - -12. Suppose -3*w = -4*o - z, -3*w = 2*w - o - 21. Let -9 - 3*l**w + 6*l**3 - 3*l**5 + 20*l**2 - 2*l**2 - 3*l - 7*l**4 + l**4 = 0. Calculate l.
-3, -1, 1
Let i(r) be the third derivative of r**7/210 - 7*r**6/60 - 8*r**5/15 + 9*r**2 + 3*r. Factor i(j).
j**2*(j - 16)*(j + 2)
Let r(k) be the second derivative of -k**7/2520 + k**6/540 - k**5/360 + 61*k**3/6 + 3*k + 15. Let j(z) be the second derivative of r(z). Factor j(v).
-v*(v - 1)**2/3
Let y(k) = k**2 - 4*k. Let v = 13 + -9. Let n(g) = -g**2 + 3*g + 1. Let l(i) = v*n(i) + 3*y(i). Let l(h) = 0. What is h?
-2, 2
Factor 21/4*x**3 + 0 + 7/2*x**2 + x**4 - 6*x.
x*(x + 2)*(x + 4)*(4*x - 3)/4
Let c(g) be the first derivative of 3888/5*g - 176 + 108/5*g**2 + 1/5*g**3. Factor c(u).
3*(u + 36)**2/5
Let n(z) = -35*z**3 - 6340*z**2 + 35*z + 6300. Let r(q) = -5*q**3 - 906*q**2 + 5*q + 900. Let b(t) = 3*n(t) - 20*r(t). Factor b(h).
-5*(h - 1)*(h + 1)*(h + 180)
Let r be (-48)/(-112) + 0/4. Let d(a) be the first derivative of -9/7*a + r*a**3 - 17 + 3/28*a**4 - 3/14*a**2. Suppose d(s) = 0. What is s?
-3, -1, 1
Let -151/5*h**3 - 1242/5*h**2 + 704*h - 4/5*h**4 - 160 = 0. What is h?
-20, 1/4, 2
Factor -3536/7*r**2 + 5408/7*r + 0 - 68/7*r**4 + 786/7*r**3 + 2/7*r**5.
2*r*(r - 13)**2*(r - 4)**2/7
Let j(a) be the second derivative of a**6/10 - 93*a**5/2 + 6159*a**4 - 47277*a**3 + 210681*a**2/2 + 2779*a. Suppose j(l) = 0. Calculate l.
1, 3, 153
Factor -325 + 631*g - 5*g**2 - 339*g - 382*g.
-5*(g + 5)*(g + 13)
Let z = 65 + 28. Let w = z - 90. Factor 5*j**w + 0*j**2 - 15*j**2 + 81 - 61.
5*(j - 2)**2*(j + 1)
Let j(t) be the second derivative of -2/21*t**3 + 0*t**2 + 1/35*t**6 + 1/147*t**7 - 1/14*t**4 - 6*t - 7 + 1/70*t**5. Find a, given that j(a) = 0.
-2, -1, 0, 1
Let s(v) = -6 + 4 + 12 - v**3 + 15. Let q be s(0). Let -q*k + 312 - 4*k**5 + 25*k**4 + 50*k**2 - 50*k**3 - k**5 - 307 = 0. What is k?
1
Find l such that 776/21*l + 448/3 - 2/21*l**2 = 0.
-4, 392
Let l(q) be the first derivative of 33/5*q**5 + 0*q + 0*q**2 + 3*q**3 - 21/2*q**4 - 118. Determine b so that l(b) = 0.
0, 3/11, 1
Suppose 56 = 3*p - 2*s + 3*s, 2*s = 5*p - 108. Suppose -d + p = 9*d. Factor -5 + d*a**3 + 5 - 2*a.
2*a*(a - 1)*(a + 1)
Let r(p) be the first derivative of -2*p**6/3 + 92*p**5/5 + 174*p**4 + 722. Let r(i) = 0. What is i?
-6, 0, 29
What is f in -52748*f**4 - 16*f**2 + 52934*f**4 - 512*f**2 + 160*f - 8*f**5 - 494*f**3 = 0?
-1, 0, 1/4, 4, 20
Factor 77*a**3 + 27*a**2 - 79*a**3 - 53*a**2.
-2*a**2*(a + 13)
Let d = 825 - 816. Let a be (-27)/(-72) - d/24. Let 1/6*z**5 + 1/12*z - 5/12*z**2 + 3/4*z**3 + a - 7/12*z**4 = 0. What is z?
0, 1/2, 1
Let u(i) be the first derivative of -1/2*i**2 + 1/24*i**3 - 21 + 2*i. Factor u(y).
(y - 4)**2/8
Suppose 5*k = -k + 12. Let f(y) = 6*y**2 - 13*y - 13. Let g(r) = 5*r - 1 - 2*r - 4*r. Let x(a) = k*f(a) - 10*g(a). Factor x(j).
4*(j - 2)*(3*j + 2)
Let s(l) be the second derivative of -5*l**7/42 - l**6/2 + 7*l**5/4 + 55*l**4/12 - 5*l**3 - 20*l**2 - 605*l. Determine i, given that s(i) = 0.
-4, -1, 1, 2
Let p(u) be the second derivative of 7*u**6/50 - 361*u**5/50 + 87*u**4/20 + 62*u**3/5 + 34*u**2/5 + 46*u + 4. Find h such that p(h) = 0.
-1/3, -2/7, 1, 34
Let z(q) = 3*q**2 - 25*q - 47. Let l(d) be the second derivative of -5*d**4/12 + 25*d**3/3 + 95*d**2/2 + 94*d. Let m(y) = -3*l(y) - 7*z(y). Solve m(f) = 0.
-4/3, 11/2
Let s = -3 - -6. Suppose s*k - 6 = -f, -10*f = -6*f. Factor -q - 1/2*q**3 - 3/2*q**k + 0.
-q*(q + 1)*(q + 2)/2
Let m be 6*(-2)/78*(-3 - -2). Find r, given that m*r**4 - 12/13*r**3 - 8/13*r + 0 + 18/13*r**2 = 0.
0, 1, 4
Let o(d) be the third derivative of -114*d + 1/196*d**8 + 9/98*d**7 + 6/35*d**5 + 107/280*d**6 - d**2 + 0*d**3 + 0*d**4 + 0. Suppose o(b) = 0. What is b?
-8, -3, -1/4, 0
Let d = -1/694554 - -1389121/9029202. Let w = 5 + -2. What is u in -1250/13 - d*u**4 - 300/13*u**2 + 1000/13*u + 40/13*u**w = 0?
5
Let p(a) be the third derivative of -1/135*a**5 - 512/27*a**3 + 0 + 8*a + 16/27*a**4 + a**2. Solve p(g) = 0.
16
Factor 3496/3*g - 292*g**2 + 32/3.
-4*(g - 4)*(219*g + 2)/3
Let k(y) be the first derivative of y**5 + 55*y**4/4 - 80*y**3/3 - 110*y**2 + 240*y - 3727. Solve k(m) = 0.
-12, -2, 1, 2
Determine b so that 4544*b**2 - 3469*b**2 - b**4 - 539*b**3 - 537*b + 2*b**4 = 0.
0, 1, 537
Let t(i) = -i + 18. Let v be t(20). Let d be -3 + 2*(-6)/v. Let 23*m**3 + 15*m**3 - 30*m**2 - 11*m**d + 18*m**3 + 5*m = 0. What is m?
0, 1/3
Let w(d) be the first derivative of -2*d**3/15 + 21*d**2/5 + 324*d/5 + 288. Solve w(n) = 0.
-6, 27
Let d be 2507/(-115) + 20 - 91/(-35). Factor 19/5*y**2 - 4/5 - d*y + 3/5*y**4 - 14/5*y**3.
(y - 2)**2*(y - 1)*(3*y + 1)/5
Let g(i) be the first derivative of 2*i**3/27 - 110*i**2/9 + 242*i - 14291. Solve g(h) = 0 for h.
11, 99
Suppose 16*u - 40*u = 0. Let l(t) be the third derivative of 1/10*t**6 + 0*t - 1/3*t**4 + 1/15*t**5 + 0*t**3 + u + 5*t**2. Factor l(k).
4*k*(k + 1)*(3*k - 2)
Let t be ((-312)/1170 - 2/6)/(18/(-40)). Factor 2/3*o**3 + t*o**2 - 16/3*o + 0.
2*o*(o - 2)*(o + 4)/3
Let 0 + 9*i**4 + 0*i + 6*i**2 + 27/2*i**3 + 3/2*i**5 = 0. Calculate i.
-4, -1, 0
Let j = 63539 + -63537. Factor -3*g**j + 99/5*g + 42/5.
-3*(g - 7)*(5*g + 2)/5
Let k = 4/447 - -7319/31290. Let d = k - 1/10. Factor 0 + 1/7*z - d*z**3 + 0*z**2.
-z*(z - 1)*(z + 1)/7
Let 140*f - 5*f**3 - 50*f - 450 + 50*f**2 - 45*f = 0. Calculate f.
-3, 3, 10
Let q(v) = 39*v**3 - 31*v**2 - 15*v + 31. Let b(i) = 7*i**3 - 6*i**2 - 3*i + 6. Let x(g) = 11*b(g) - 2*q(g). Let f be x(-2). Factor -2/9*k**f + 10/9 - 8/9*k.
-2*(k - 1)*(k + 5)/9
Let t(h) be the first derivative of h**5/12 - 85*h**4/12 + 1445*h**3/6 + 19*h**2/2 - 4. Let c(r) be the second derivative of t(r). Solve c(j) = 0 for j.
17
Let c(g) be the second derivative of g**6/240 - g**5/40 - g**4/48 + g**3/4 - 22*g**2 + 2*g + 4. Let o(w) be the first derivative of c(w). Factor o(i).
(i - 3)*(i - 1)*(i + 1)/2
Let d(n) be the third derivative of n**6/420 - 3*n**5/35 - n**4 - 88*n**3/21 + n**2 + 25. Find m such that d(m) = 0.
-2, 22
Let h = -173717/3 + 58631. Let j = 728 - h. Let -j*w**2 - 2/3 + 7/3*w + w**3 = 0. Calculate w.
2/3, 1
Suppose 0 = -y + s, -5*y - 3*s + 15 = -9. Suppose 4*j + y = 5*v, -2*v = 2*v - 12. Solve 2*n**j + 0 - 2*n**2 - 4/7*n**4 + 4/7*n = 0.
0, 1/2, 1, 2
Let c(v) be the second derivative of 24*v**3 - 17*v + 864*v**2 + 1/4*v**4 + 0. Factor c(n).
3*(n + 24)**2
Let o be ((-27)/(-18) - 2/4)*9. Suppose -3*s + 6*s + 5*m + o = 0, 4*s = 3*m + 17. Factor 1/7*a + 0 + 2/7*a**s.
a*(2*a + 1)/7
Let f(s) = -3*s**3 - 2*s**2 - 2*s - 1. Let a(h) = 2*h**4 - 19*h**3 + 50*h**2 + 90*h - 223. Let x(b) = a(b) + f(b). Find i such that x(i) = 0.
-2, 2, 4, 7
Let m = 294 + -292. Factor -78*o**2 + 4228*o + 4*o**3 - 3876*o - 576 + 10*o**m.
4*(o - 9)*(o - 4)**2
Suppose 46*r + 18*r = 175 - 47. Let h(f) be the third derivative of 0 - 1/300*f**6 - 4/15*f**3 + 0*f - 3/20*f**4 - 1/25*f**5 + 6*f**r. Factor h(n).
-2*(n + 1)**2*(n + 4)/5
Let l(p) be the second derivative of -3*p**6/5 - 7*p**5/2 + 2*p**4 + 32*p**3/3 + 48*p + 12. Let l(s) = 0. Calculate s.
-4, -8/9, 0, 1
Let x be ((-10)/(-8))/((-340)/(-544)). Let -1016*k - 4*k**3 - 366*k + 90*k + 128*k**2 - 1444 + 37*k**2 - 17*k**x = 0. Calculate k.
-1, 19
Let f(w) be the third derivative of -2*w**3 + 3/20*w**5 + 0*w**4 - 1/40*w**6 + 0 + 0*w - 71*w**2. Factor f(a).
-3*(a - 2)**2*(a + 1)
Let 24025/4 + 1/4*d**2 + 155/2*d = 0. What is d?
-155
Suppose 0 = -3 | {
"pile_set_name": "DM Mathematics"
} |
+ 3*i. Let v(r) = 13*r - 8. What is j*v(b) - 9*q(b)?
-b + 2
Let j(r) = -2*r**3 - 6*r**2 + 6*r - 1. Let y(f) = -f**2 + f. Let p(x) = -17*x + 84. Let h be p(5). Calculate h*j(q) + 6*y(q).
2*q**3 + 1
Let a(d) = -9*d - 18. Let o(i) = -4*i - 9. Give -3*a(q) + 7*o(q).
-q - 9
Let p(m) = 5*m**2 + 8*m - 7. Let n(b) = 6*b**2 + 7*b - 9. Calculate -4*n(d) + 5*p(d).
d**2 + 12*d + 1
Let p(a) = 865 - 1736 + 871 + a. Let o(q) = -3*q - 1. Determine -o(r) - 6*p(r).
-3*r + 1
Let l(k) = -4*k + 4. Let z = -781 + 783. Let y(d) = -2*d + 2. Give z*l(u) - 5*y(u).
2*u - 2
Let t = -403 - -409. Let s(h) = -h + 12 + 0*h - 2*h. Let n be s(t). Let d(g) = 2*g**2 - 4*g - 1. Let j(b) = 2*b**2 - 3*b - 1. Determine n*j(q) + 5*d(q).
-2*q**2 - 2*q + 1
Let a(i) = 6*i**2 + 2*i - 8. Let m(k) = -6*k**2 - 2*k + 9. Give -7*a(d) - 6*m(d).
-6*d**2 - 2*d + 2
Let n(b) = -4*b + 253. Let v(m) = 17*m - 1012. Determine -9*n(d) - 2*v(d).
2*d - 253
Let f(t) = -3*t - 18. Let v(y) = 5 - 26 + 2 + 8 + 12. Give -f(z) - 18*v(z).
3*z
Let d(j) = -j**3 + 23*j**2 + 52*j - 52. Let u be d(25). Let c(q) = q + 3. Let s(p) be the second derivative of p**3/6 + p**2/2 - 4*p. Calculate u*c(r) + 4*s(r).
2*r - 2
Let n(y) = y**3 + y**2 - 1. Let t(a) be the first derivative of -5*a**4/4 - 2*a**3 + a**2 + 3*a + 2057. Let k = 1 - 0. Give k*t(q) + 3*n(q).
-2*q**3 - 3*q**2 + 2*q
Let s(r) = -r - 4. Let c(v) = -4*v + 2*v - 2*v - 9 + 2*v. Let o(l) = 4*c(l) - 9*s(l). Let p(y) = -4*y + 1. What is 5*o(f) + p(f)?
f + 1
Let k(g) = 3*g**3 - 2*g**2. Let f(x) = -16*x**2 - 19*x**2 + 34*x**2. What is 6*f(h) - 3*k(h)?
-9*h**3
Suppose -33*h + 12*h = -63. Let w = 1 - 1. Let v(f) = w - 4*f - 7*f**3 + 0 - h - 1. Let j(l) = -6*l**3 - 3*l - 3. Give 4*j(a) - 3*v(a).
-3*a**3
Let s(b) = 2*b + 10 - 4 - 7. Let k(d) be the second derivative of -d**3 + 2*d**2 + 19*d. What is 3*k(r) + 10*s(r)?
2*r + 2
Let s(p) = -39*p**2 - 7*p - 2. Let j(g) = g. What is 5*j(d) + s(d)?
-39*d**2 - 2*d - 2
Let c = 64 - 66. Let r(g) = -5*g**3 - 16*g**2 + 11*g + 21. Let h(q) = q**3 + 3*q**2 - 2*q - 4. Give c*r(x) - 11*h(x).
-x**3 - x**2 + 2
Let o(c) = -c - 3. Let x be o(0). Let w(h) = -5*h - 26*h**2 - 9*h**2 + 2 + 34*h**2. Let m(a) = -2*a**2 - 14*a + 6. Give x*m(n) + 8*w(n).
-2*n**2 + 2*n - 2
Suppose -59*p + 3 = -62*p. Let c(i) = -i + 1. Let m = 8 - 2. Let k(x) = -4*x + 21. Let y(o) = 4*o - 24. Let j(u) = 6*k(u) + 5*y(u). What is m*c(z) + p*j(z)?
-2*z
Let f(p) be the third derivative of -p**5/12 - 7*p**4/24 + 2*p**3/3 - 2*p**2 + 179*p. Let c(u) = -u**2 - u + 1. Let l be (2/10 - 1)*5. Give l*c(i) + f(i).
-i**2 - 3*i
Let o(t) = 1. Let p(n) = -9*n. Let z(u) = -2*o(u) - p(u). Let r(l) = 19*l - 4. Suppose -14*c + 840 - 756 = 0. Determine c*r(v) - 13*z(v).
-3*v + 2
Let q(j) = 9*j**2 - 17. Let d(u) = -3*u**2 + 3*u - 9. Let g(p) = 2*p**2 - p + 1. Let c(w) = d(w) + 3*g(w). Give 11*c(b) - 4*q(b).
-3*b**2 + 2
Let x(h) = 19*h - 6. Let j(p) = -13*p + 4. Let w(n) = 3*j(n) + 2*x(n). Suppose -g = -3 - 2. Let u = 0 + g. Let a(f) = f**2 + 5*f - 1. Determine u*w(t) + a(t).
t**2 - 1
Let n(s) = -143*s - 44. Suppose 520*t - 515*t - 25 = 0. Let u(z) = -16*z - 5. Determine t*n(r) - 44*u(r).
-11*r
Let b(a) = -a + 1. Let v(m) = -2. Let k(f) = -b(f) - v(f). Suppose 0 = -c - 2*d + 2 - 5, -d - 3 = 2*c. Let w(x) = -x**2 - 2*x - 6. What is c*w(t) - 2*k(t)?
t**2 + 4
Let x(f) = f**2 + f. Let g(z) = z**3 - 6*z**2 - 5*z. Suppose -8*k + 2 = -6*k. Give k*g(l) + 4*x(l).
l**3 - 2*l**2 - l
Let z(b) = -39300*b**2 - 786*b. Let w(q) = -401*q**2 - 8*q. Calculate -393*w(k) + 4*z(k).
393*k**2
Let b(z) = 4*z**2 - 17*z - 43. Let n(a) = 11*a**2 - 46*a - 129. Calculate 8*b(u) - 3*n(u).
-u**2 + 2*u + 43
Let i(x) = 14*x + 13. Let g(b) = 41*b + 38. What is -6*g(o) + 17*i(o)?
-8*o - 7
Let i(x) = 3*x**2 + 301*x - 13. Let q(a) = -4*a**2 - 301*a + 16. What is 5*i(s) + 4*q(s)?
-s**2 + 301*s - 1
Let v(f) = -264*f**3 - 4*f**2. Let m(l) = -791*l**3 - 10*l**2. Calculate -3*m(c) + 8*v(c).
261*c**3 - 2*c**2
Let s(p) = 10*p**2 + 14*p - 1. Let h(n) = 28*n**2 + 43*n - 2. Give -4*h(t) + 11*s(t).
-2*t**2 - 18*t - 3
Let p(s) = -8 + 50*s - 6*s**2 + 38*s + 38*s - 134*s. Let v(c) = c**2 + c + 1. Determine p(u) + 8*v(u).
2*u**2
Let d(c) = -61*c + 1. Let q(v) = 32*v - 1. Determine -3*d(b) - 5*q(b).
23*b + 2
Let b(v) = -60*v - 3. Let s(d) = -2*d - 1. Calculate -b(t) - 2*s(t).
64*t + 5
Let l(u) = -6*u**3 - 4*u**2 + u. Suppose -183 - 111 = 6*x. Let m = -45 - x. Let z(i) = -7*i**3 - 5*i**2 + i. Determine m*z(y) - 5*l(y).
2*y**3 - y
Let s(j) = 7*j + 2. Let u(q) = q. Suppose -g - 3 = 0, 2*k + 5*g = -k - 3. Let c be (-2)/4*k - 4. Determine c*u(t) + s(t).
t + 2
Suppose 7*x = -x + 4*x. Let s(n) = -149*n + 148*n + n**3 + n**2 + x*n**3. Let b(z) = 2*z**2 - 2*z. Calculate b(m) - 2*s(m).
-2*m**3
Let k(r) = 7*r**2 - 4*r - 7. Let a(t) = -20*t**2 + 11*t + 20. Suppose -3*c - 1 - 7 = u, -2*u - 3*c = 25. Determine u*k(s) - 6*a(s).
s**2 + 2*s - 1
Let u(n) = -16436*n. Let w(h) = 865*h. Give 3*u(q) + 56*w(q).
-868*q
Let m(n) = 1. Let c(z) = 2*z**2 - 3*z - 8*z + 3 + 5*z. Let s be c(3). Let r(u) = -3*u - s + 14 - 7 + 5*u. Calculate 3*m(o) - r(o).
-2*o - 1
Suppose 0 = 4*z - 12, -3*z = 4*l + 2*z - 19. Let d(s) = -2*s**3 + 2*s**2 - s + 1. Let t(n) = n**3 + n + 1. Give l*d(v) - t(v).
-3*v**3 + 2*v**2 - 2*v
Let k = -20 + 21. Let z(m) = 1 + 0 + 0 + m. Let c be 8/(-6) - 2/3. Let a(o) = -2*o**2 + o + 3. Calculate c*z(y) + k*a(y).
-2*y**2 - y + 1
Let l(b) = 333*b - 5. Let g(n) = -109*n + 1. Determine 7*g(z) + 2*l(z).
-97*z - 3
Let s(q) = 3*q**3 + 4*q**2 - 4*q + 6. Let b(u) be the second derivative of 4*u - 3/2*u**3 + 3/4*u**4 + 7/20*u**5 + 13/2*u**2 + 0. Calculate -4*b(i) + 9*s(i).
-i**3 + 2
Let k(d) = -3*d**3 + 2*d**2 + 2*d + 3. Let z(q) = 7*q**3 - 5*q**2 - 5*q - 7. Let j = 655 - 650. Determine j*k(u) + 2*z(u).
-u**3 + 1
Let y(i) = 85*i + 35. Suppose -2*n - 70 = -2*r, 5*r - 2*r = 4*n + 105. Let a(s) = 5*s + 2. What is r*a(t) - 2*y(t)?
5*t
Let m(w) = -142*w**2 - 10*w. Let y(v) = 853*v**2 + 63*v. Determine -13*m(n) - 2*y(n).
140*n**2 + 4*n
Let j(k) = 8*k**2 - 119*k - 1. Let v(p) = 42*p**2 - 596*p - 6. Calculate 16*j(y) - 3*v(y).
2*y**2 - 116*y + 2
Let t(g) = -467*g**2 - 18*g + 6. Let n(i) = 934*i**2 + 39*i - 13. Determine -6*n(h) - 13*t(h).
467*h**2
Let n(q) = 3*q**3 + 63. Let p(d) = -d**3 - 31. Determine -2*n(t) - 5*p(t).
-t**3 + 29
Let h(d) = 0*d + 0 - 1 + 13*d + 12. Let a(m) = 6*m + 5. Suppose -8*i = -3*i - 45. Determine i*a(n) - 4*h(n).
2*n + 1
Let g(k) = 12*k**3 - 6*k**2 + 5*k - 5. Let y be (-1)/2 + 814/148. Let b(u) = -11*u**3 + 5*u**2 - 4*u + 4. What is y*b(j) + 4*g(j)?
-7*j**3 + j**2
Let q(g) = 299*g - 7. Let h(o) = 154*o - 4. Determine -5*h(a) + 3*q(a).
127*a - 1
Let j be (36/21)/((-2)/(-21)). Let k be -14 - ((-2)/(-8) + (-176)/(-64)). Let n = j + k. Let f(t) = t. Let w(d) = -4*d + 1. Calculate n*w(z) + 6*f(z).
2*z + 1
Let k(j) = -104*j**2 + 7*j + 3. Let u(x) = -208*x**2 + 16*x + 7. What is -7*k(s) + 3*u(s)?
104*s**2 - s
Let v(y) = -62*y + 51. Let i(f) = -21*f + 16. What is 13*i(m) - 4*v(m)?
-25*m + 4
Let x(j) = -30*j + 10. Let g(d) = 6*d - 2. Let r be ((-96)/190 + 6/57)*-35. Give r*g(k) + 3*x(k).
-6*k + 2
Let n(l) = -2*l**2 - 9. Let q(f) = -f**2 - 2. Let s(m) = -2*n(m) + 11*q(m). Let a(d) be the first derivative of -16*d**3 - 27*d - 1. What is -4*a(i) + 27*s(i)?
3*i**2
Suppose -3*u + 4*f + 8 + 15 = 0, u + 2*f = 1. Suppose u*n = 26 + 44. Let d(l) = -5*l - 7. Let w(s) = -2*s - 3. Let v be (-8)/(-12) - 40/6. Give n*w(h) + v*d(h).
2*h
Let y(j) = -j. Let a(q) = -6*q. Suppose 0 = 5*s - 10*s, 5*s + 42 = 3*z. Let v(x) = 2*x - 6. Let f be v(3). Let i be -2 - 0/(-3 + f). Calculate i*a(d) + z*y(d).
-2*d
Let j(v) = -9*v**3 - 6*v**2 - 10*v + 6. Let h(y) = -10*y**3 - 7*y**2 - 11*y + 7. Suppose 0 = -3*i - 12, -4*c + 6 = i - 14. What is c*h(t) - 7*j(t)?
3*t**3 + 4*t
Let g(r) = 5*r**2 - 11*r - 1. Let t(h) be the second derivative of h**4/12 - h**3/3 + h - 24. Determine 4*g(u) - 22*t(u).
-2*u**2 - 4
Let g(t) = 6*t**3 - 21*t - 42. Let m(d) = d**3 - 3*d - 6. Give 2*g(z) - 15*m(z).
-3*z**3 + 3*z + 6
Let m(x) = 6*x**3 - 5*x**2 - 5*x - 9. Let t(n) = -11*n**3 + 10*n**2 + 9*n + 16. Calculate 5*m(p) + 3*t(p).
-3*p**3 + 5*p**2 + 2*p + 3
Let o(a) = 5*a**2. Suppose 0 = 4*u + 5*h + 97, 0 = -5*u + 5*h - 125 - 30. Let z(w) = w**2. Determine u*z(n) + 4*o(n).
-8*n**2
Let k(z) = -41*z**2 + 46*z**2 | {
"pile_set_name": "DM Mathematics"
} |
the biggest value? (a) 0.4 (b) -0.2 (c) t
a
Let l = 328 + -328.524. Let f = 0.476 - l. Let r be 9/(-20)*(-5)/6. Which is the fourth smallest value? (a) r (b) 2 (c) f (d) 1/5
b
Let p be 6 + (14 - 3 - 536/32). Let w be 0/((-1 - -3) + 1). Which is the second biggest value? (a) p (b) w (c) 8
a
Let h = 1136 - 616. Let a = -514 + h. What is the second biggest value in -0.1, a, 5?
5
Let f = 1.439 - -0.121. Let s = f - 1.5. Which is the fourth smallest value? (a) s (b) -0.1 (c) -2 (d) -2/15
a
Let w = -382.2 + 393.6. What is the third smallest value in w, 24, 1?
24
Let t = -340043.2 + 340043. Let h be (0 - 4/42) + 0. Which is the third biggest value? (a) 0.1 (b) h (c) -7 (d) t
d
Let o = -48.89 - -46.79. Which is the fourth biggest value? (a) o (b) -0.06 (c) -5 (d) 1/4
c
Let g = 216.341 + -429.519. Let v = -213 - g. Let h = -0.022 - v. Which is the second biggest value? (a) 0.1 (b) h (c) 3 (d) 7/6
d
Let r = 752 + -104. Let k = r + -648.129. Which is the biggest value? (a) -2/3 (b) k (c) 4/5
c
Let a = 9.09 - 9.4415. Let i = -0.0485 + a. What is the third biggest value in i, 1/12, -2, -0.3?
i
Suppose 4*n - m - 732 = 0, n - 5*n + 3*m = -724. Let i = n + -1103/6. Let j = 28 + -33. Which is the smallest value? (a) -0.3 (b) i (c) j (d) 8
c
Let r = -0.126 - 0.541. Let v = -1.333 + r. Let i = -0.5 - -0.1. Which is the second smallest value? (a) 1 (b) i (c) v (d) -4/7
d
Let w be 1/((-1)/(-3)*-1). Let l = -0.237 + 0.215. Let p = 0.978 - l. What is the fourth smallest value in -0.3, w, 0, p?
p
Let s(h) = 4*h - 8 - h**2 + 5*h - 3*h + 117. Let q be s(14). Which is the smallest value? (a) -0.1 (b) q (c) 5 (d) 0.3
b
Let f = 814/20335 - -2/245. What is the smallest value in 0.1, f, 5, -0.1?
-0.1
Let j = -905721 - -8143084/9. Let x = 1965 + -2898. Let k = j - x. What is the third biggest value in k, -1/3, -5?
-5
Let g = 3.715 - 0.015. Let x = g - -0.3. Let s = 318 + -316. Which is the biggest value? (a) -1.8 (b) s (c) -2 (d) x
d
Let f = -3656.4 + 3656. Which is the second smallest value? (a) -0.3 (b) 87 (c) f
a
Let w = -176602.62 - -176603. Let a be (-6)/26*4/(-6). What is the third smallest value in -2/15, a, w?
w
Suppose -163 = 2*q - 157. Let x be (-20)/180 + 1/q. Which is the third smallest value? (a) 12 (b) 4 (c) x
a
Let t = -3231.9 + 3234. What is the second biggest value in t, 5, 0.1?
t
Let s be (0*(-3)/(-9))/(-2). Let j = -46 - -49. Suppose -c + 4*c + j*p - 27 = 0, 5*c - 5*p + 5 = 0. What is the second smallest value in -2/5, s, c?
s
Let w = 1 + -0.7. Suppose 2*u + 53336 - 53338 = 0. What is the second smallest value in u, -2, -3, w?
-2
Let n = 20501 + -20695.19. Let m = -194 - n. Suppose -8 = -4*y - 0. Which is the second smallest value? (a) m (b) 1/6 (c) y (d) 0
b
Let t = 197.936 - 198. Let v = -4.936 + t. Let p = 15 - 10. Which is the second smallest value? (a) 0.1 (b) v (c) p
a
Let y = -76.173 + -2.827. What is the second biggest value in -3/4, y, 0.2, 5?
0.2
Let k = -19888 + 19889. Which is the biggest value? (a) -3 (b) 2/29 (c) k (d) 3
d
Let h be 34/9 - (2 + 2). Let z(f) = 2*f - 16. Let k be z(3). Let s be (0 - 2/k) + 9/55. What is the second biggest value in s, 0, h?
0
Let g be 2/4 - (-2)/(12/4749). What is the smallest value in -2, g, -1/8?
-2
Let j = -1834 + 1856. Which is the third smallest value? (a) j (b) -6 (c) 1/5
a
Let v = 34397 + -34394. Let x = -5 + 9. What is the smallest value in x, 5, v, -0.19?
-0.19
Let j = 323 + -449. Let w be j/(-1617) + (-8)/22. What is the third smallest value in 1/3, w, -12, -0.2?
-0.2
Let m = -57 + 182. Let q = m - 124.5. Which is the second biggest value? (a) 0.1 (b) 0 (c) q
a
Let f(w) = w**2 - 19*w + 18. Let n be f(18). Suppose -g - 15 = -3*s - 6, 2*s - 2 = n. Let p = 8/21 + 2/7. Which is the third biggest value? (a) 2 (b) g (c) p
b
Let y = 28065/143 - 2549/13. What is the smallest value in 12, y, 851?
y
Let y = 2971.6 - 2972. Which is the second smallest value? (a) -11 (b) 1/7 (c) y (d) 2
c
Let f = -30 - -34. Suppose 2*r = 7 - 3, 0 = 4*s - 5*r + 14. Let y be (6 - 7)/(s/5). What is the biggest value in 0.5, y, f?
y
Let m = 805.2 - 797. Which is the second smallest value? (a) -2 (b) m (c) 4
c
Let x = -25529 + 25544. What is the second biggest value in -0.5, x, -0.039?
-0.039
Let v = -0.6631 - -0.1631. Let i = 9/8 - 41/40. What is the smallest value in 2, i, v, 3?
v
Let g be (-7 + 6 + -1)/(((-91)/(-14))/(-13)). Which is the fifth smallest value? (a) -78/35 (b) -0.3 (c) g (d) -0.2 (e) 2
c
Let o be (-1 + -8*3/(-16) - -5)*2. Which is the third smallest value? (a) 5 (b) -0.2 (c) -0.03 (d) o
a
Let y be (-7)/(-22) - (-312)/1716. What is the third smallest value in y, 2/15, -1, -15?
2/15
Let y = 261.32 + -3.32. Let j = y + -259. Which is the third biggest value? (a) j (b) -4.1 (c) -2/11
b
Let g = 6.2 + -5.7. Let u be (-39)/429 - (-54)/110. Which is the second biggest value? (a) 3.4 (b) g (c) u
b
Let y = -7 - -4. Let i = -0.2519 - -0.1519. Let n = -39.7 + 40. What is the biggest value in y, 15, i, n?
15
Let s = -14561 - -14554. Which is the third biggest value? (a) s (b) -0.2 (c) -1 (d) 17
c
Let p = 671482.989 + -670339. Let j = 1139 - p. Let a = -0.011 + j. What is the smallest value in a, 5/6, -4, 0?
a
Let g = -20165 - -20163. What is the second smallest value in g, -1.28, -7?
g
Let z = 5 + -2. Let p = -80.9 + 2.9. Let y = -81 - p. What is the second biggest value in z, 2, y?
2
Suppose 4*s - 18 = 4*m - 2*m, 12 = s - 2*m. Suppose s*v - 50 + 30 = 0. Suppose -5*d + 10 = -v. Which is the third smallest value? (a) d (b) -2 (c) 0.1
a
Let r = -5.6 + 0.6. Let d = 444.62 + -537.62. Which is the third biggest value? (a) r (b) d (c) 3
b
Let z = 9.74 + -6.74. What is the smallest value in 2, 1/2, -0.2, -15, z?
-15
Let n(t) = t**2 - 81*t + 587. Let x be n(8). Let p = -121.1 - -131. Let w = 10 - p. Which is the third biggest value? (a) w (b) -31 (c) x
b
Let h = -260 + 161. Let l = 94 + h. What is the third smallest value in l, 9, 0.5?
9
Suppose 26*q = -56*q + 144 + 102. What is the second smallest value in 0, 40, q, 0.5, 0.4?
0.4
Let t = 1.1489 - 1.3489. Which is the second smallest value? (a) 0.3578 (b) t (c) -2
b
Let p(d) be the third derivative of -d**5/60 - d**4/12 + d**3/6 - 2*d**2. Let v be p(-3). Let o = 612 - 612. Which is the biggest value? (a) v (b) -3 (c) o
c
Let z be (-30)/(-108)*2532/(-1055). Let c = -5 + 8. What is the third biggest value in c, 2.9, z, 0.4?
0.4
Let x = 917/6 - 153. Which is the biggest value? (a) -1 (b) 0.5 (c) 0 (d) x (e) 1/5
b
Let c = 10.537 + 0.163. Let b = -11.2 + c. Let w = 0.42 + -0.42. What is the second smallest value in 0.38, b, w?
w
Let r(c) = c**2 - 10*c + 8. Let g be r(9). Let q(m) = m**2 + 9*m + 20. Let b be q(-8). Let i be b/(-21) - 102/42. What is the biggest value in -5, g, 5, i?
5
Let w = 6.7 + -8.7. Let j = -524/2277 - -2/253. What is the third smallest value in j, 5, 3/2, w?
3/2
Let d = 101 + -705/7. Let x(s) = 23*s - 126. Let j be x(5). Let z be (-3)/33*(9 + j). Which is the second biggest value? (a) 32 (b) z (c) d
c
Let m = 1034 - 731. Let u = m - 432. Let p = u - -131. What is the second smallest value in p, -10, -2?
-2
Suppose 34 + 76 = 22*f + 22. What is the third smallest value in -0.7, f, 9, 1?
f
Let w = 4.15 - 0.15. Let j = -49 + 49.165. Let o = j - -0.135. Which is the second smallest value? (a) w (b) o (c) 0.1
b
Suppose -3*u - 4*w - 84 = 2*u, -4*u = -3*w + 92. What is the biggest value in 4, u, 5, -2/9?
5
Let l be (-34 + 3)*(-1766)/(-4). Let t = 242789/18 + l. Let h = 198 + t. Which is the biggest value? (a) 15 (b) h (c) 0.3
a
Let u = -0.21 + -3.79. Let t = -513 + 517. Which is the second smallest value? (a) t (b) -5 (c) 0 (d) u
d
Let p = 97 - 96.5. Let h = -68.6 + 69. Let d = 708/7 - 101. What is the smallest value in h, d, p?
d
Let n = -251.51 + 250. Let j = 17.09 - n. Let k = -2.6 + j. Which is the second smallest value? (a) -2 (b) k (c) 3/4
c
Suppose b = 5*u - 21, 5*u - 3*b = -b + 22. Suppose 5 = l - u*y, 3*y - 2*y = -4*l + 3. What is the smallest value in l, -5, -15/2, 2/7?
-15/2
Let z = -13133 + 13177. What is the second biggest value in 0.2, -10, z, -5?
0.2
Let t(u) = 2*u**2 + 18*u + 51. Let h be t(-15). Let i be ((-3)/(-5))/(h/110). Whic | {
"pile_set_name": "DM Mathematics"
} |
rt(144) - sqrt(144)) + sqrt(144))/sqrt(12)) + 1.
-2 + 14*sqrt(3)
Simplify (4 + (sqrt(1100) + -1)*-6 + -1)**2 + ((sqrt(1100) - (sqrt(1100) + -2 + -5)) + 4)**2 + -5.
-1080*sqrt(11) + 39797
Simplify ((sqrt(8)*1)**2*2 + 2)*2 - (sqrt(200)*3*-6 + 5).
31 + 180*sqrt(2)
Simplify -2 + -5 + sqrt(304) + -3 + (sqrt(304)*3)**2 + sqrt(304) + -1*((sqrt(304) - -5*sqrt(304))*4 + 5)**2.
-172403 - 952*sqrt(19)
Simplify (-4 + -6*(2 + -5*sqrt(567) + 2*sqrt(567) + 4 + 2))**2.
-16848*sqrt(7) + 186412
Simplify (((sqrt(143) + -2*sqrt(143))*2 - sqrt(143))/(((sqrt(11) - (sqrt(11) + 2*sqrt(11))) + sqrt(11))*-5)*1*-4 + 5)*-4.
-48*sqrt(13)/5 - 20
Simplify (1*(sqrt(143)*-1 + sqrt(143) - sqrt(143)))/sqrt(11) + 5 + 5 + (0 + sqrt(325)*-1 - sqrt(325)) + sqrt(325) + (sqrt(325) - -3*-2*sqrt(325))**2.
-6*sqrt(13) + 8135
Simplify -4*(sqrt(1100) + sqrt(1100) + 3*sqrt(1100)*-5 + sqrt(1100) + 1*1*sqrt(1100) - ((3 + 3*sqrt(1100))*-3 + -3))**2.
-18176 + 1920*sqrt(11)
Simplify (5 + 1*-2*(-2*(6*(sqrt(68) - (-1 + sqrt(68))) + sqrt(68)) - ((3*(sqrt(68) + (sqrt(68) - sqrt(68)*1)) + sqrt(68) - sqrt(68)) + 4)))**2 + 3.
1480*sqrt(17) + 8172
Simplify (sqrt(216)/(sqrt(8) - sqrt(24)/sqrt(3)*6))/(sqrt(9)*-2*-1 - (1*sqrt(81))/sqrt(9))*5.
-sqrt(3)
Simplify (sqrt(170)/(sqrt(25)/sqrt(5)) + sqrt(34))/(2*sqrt(162)) - (-4 + (sqrt(272) - 1*(-1 + sqrt(272))) + 1)**2.
-4 + sqrt(17)/9
Simplify 1 + 3*((-2*sqrt(275))**2 - sqrt(275)) + (-3 + (sqrt(275) - (0 + sqrt(275))))**2 + -4*(-1*sqrt(275) + sqrt(275))*-4 + -1.
-15*sqrt(11) + 3309
Simplify (sqrt(48)/(-2*sqrt(4)) - sqrt(300)*4)/(-1*5*(sqrt(4) + sqrt(40)/(sqrt(50)/sqrt(5)))).
41*sqrt(3)/20
Simplify -2 + ((sqrt(153)*4 + sqrt(153) + 4)**2 - (sqrt(2057) - (3 + sqrt(2057))*-6)).
43*sqrt(17) + 3821
Simplify (-6*((sqrt(1216) - (sqrt(1216) + -1))*-4 + 4) + (-2*(-3 + sqrt(1216)) - -6*sqrt(1216)*-3))**2.
-1920*sqrt(19) + 486436
Simplify 4*(-1 + 6*(3 + (sqrt(500) - -1*sqrt(500)*1) + 4 + (sqrt(500) - (1*sqrt(500) + 5)))**2 + -2).
1920*sqrt(5) + 48084
Simplify 4*(0 + -4*sqrt(171) + sqrt(171) + 4 + -4 + 3)*3.
-108*sqrt(19) + 36
Simplify ((3*(3 + sqrt(539) + -2) + (sqrt(539) + 3*sqrt(539)*-3)*6)*-3)**2.
-17010*sqrt(11) + 9823356
Simplify 2 + sqrt(4)/(sqrt(20)/(-4*sqrt(10))) + (sqrt(2) + (sqrt(2) - sqrt(16)/sqrt(8)) + -3)**2*6.
-40*sqrt(2) + 68
Simplify 4 + (((sqrt(5) - sqrt(405))*5)**2 + 5*sqrt(80) - ((sqrt(160)/sqrt(8))/sqrt(4) + (sqrt(5) - (sqrt(50)/sqrt(10)*-6 + sqrt(5)))**2)).
19*sqrt(5) + 7824
Simplify -4 + (-3*(sqrt(320)*-1 + 5 + -4 + sqrt(320) + -3)*1)**2 + 0.
32
Simplify -5*(-5 + -3*5*(4 + (sqrt(468) + -3*(sqrt(468) + 1) - 5*((sqrt(468)*2 - sqrt(468)) + sqrt(468) - sqrt(468))**2))).
-175400 - 900*sqrt(13)
Simplify (-6*(sqrt(275)*1*-1)**2*-2 + (5*(sqrt(275) + 5 + -1 + sqrt(275)) + -5)**2)*4.
6000*sqrt(11) + 124100
Simplify (-5*(-5 + -4 + sqrt(931)*-1)*2)**2*4*-6.
-2428800 - 302400*sqrt(19)
Simplify 1 + ((2*(sqrt(3) - sqrt(15)/sqrt(5)) - (4*sqrt(363) - sqrt(363)))**2 - (-3 + (sqrt(192) + (sqrt(192) + -2)*-5 - sqrt(192)))**2).
-1581 + 560*sqrt(3)
Simplify (((sqrt(204)*2 - sqrt(204))/sqrt(12) + -2)*-2)**2 + (sqrt(119) - -4*(sqrt(119) + sqrt(119)*2 - sqrt(119)))/(sqrt(35)/(-1*sqrt(5))).
-25*sqrt(17) + 84
Simplify (-1 + 3*sqrt(80) + 4 + -5*5*(sqrt(80) + 0))*3.
-264*sqrt(5) + 9
Simplify -4*((sqrt(128) - -1*sqrt(128)*3)/sqrt(4) + -1 + sqrt(800) + -5 + 5)**2.
-10372 + 288*sqrt(2)
Simplify (2 + (-4*sqrt(136))/sqrt(8) + sqrt(187)/sqrt(704))**2*5*-4*1.
-82965/16 + 310*sqrt(17)
Simplify ((sqrt(152)/sqrt(64))/(5*sqrt(8)) - ((-3*sqrt(114))/sqrt(6) + (sqrt(19) - (-1*sqrt(19)*3 - sqrt(19)))))*-1.
79*sqrt(19)/40
Simplify ((sqrt(117) + (sqrt(117) - -1*-1*sqrt(117)) - -1*sqrt(117)*-1)*2)/(-5*sqrt(576)*-2 + 4*(1*sqrt(576) + sqrt(576))) + -1.
-1
Simplify ((2*((sqrt(84) - (sqrt(84) - (sqrt(84)*1 + sqrt(84)))) + sqrt(84) - sqrt(84)))/(sqrt(50) + sqrt(200)/sqrt(4)))/(sqrt(24)*-1 + sqrt(378)/sqrt(7)) + 3.
2*sqrt(7)/5 + 3
Simplify (sqrt(4212)*-2*-6 + sqrt(4212) + sqrt(4212)*1*-3)/((-2*sqrt(196) + sqrt(16)/sqrt(4)*5)*1).
-10*sqrt(13)
Simplify (-1 + (sqrt(396) + -4 - sqrt(396))*4)**2 + ((sqrt(396) + 2 + sqrt(396))*3 - (sqrt(396) + (sqrt(396) - (sqrt(396) + -1)) + -2)) + 5.
30*sqrt(11) + 301
Simplify (-3*-2*(-1*sqrt(85) - sqrt(85))*-3)/(sqrt(40)/(sqrt(48)/sqrt(6)) + -3*sqrt(125) + sqrt(5)).
-36*sqrt(17)/13
Simplify 1*(6*(0 + sqrt(1539) + sqrt(1539)*1) + -4)*-1*-6*-5.
-3240*sqrt(19) + 120
Simplify (1 + -6*(sqrt(1331)*-2 - sqrt(1331)) + ((sqrt(1331) + 0)*4 - sqrt(1331)) + (3 + sqrt(1331) + 1)*5)**2.
12012*sqrt(11) + 900197
Simplify (-4*((sqrt(320)*-2 - sqrt(320)) + -6*sqrt(720)))/(((sqrt(576) - (sqrt(576) + 4*sqrt(576)))*-2 + sqrt(576) - sqrt(576))*3).
2*sqrt(5)/3
Simplify -5 + 2 + 0 + 0 + sqrt(75) + -5*(-1*sqrt(75) + 0)*2.
-3 + 55*sqrt(3)
Simplify (2 + 1*(sqrt(637) + 2) + sqrt(325)*-2*1 + 1)**2.
-30*sqrt(13) + 142
Simplify 4*(sqrt(432) + 0)*6 + 0 + (1*(sqrt(432) + 0 + sqrt(432)) + 5 + -3)**2.
384*sqrt(3) + 1732
Simplify ((sqrt(51)/sqrt(48) - (1 + sqrt(17) + -5)) + 1)**2 + sqrt(102)/(sqrt(12)/(sqrt(16)/sqrt(8))) + -1.
-13*sqrt(17)/2 + 537/16
Simplify ((sqrt(125) - (sqrt(125) - sqrt(125)*2)*-3 - -2*(sqrt(125) + 1))*-1)**2 + -2*((-1*(sqrt(5) + 2*sqrt(5)))**2 - sqrt(5) - sqrt(30)/sqrt(96)).
-86 + 5*sqrt(5)/2
Simplify (sqrt(78) + (sqrt(78) - (sqrt(78) + (sqrt(78)*1*-2 - sqrt(78)))) - 1*sqrt(78)*-6)/(sqrt(96)/sqrt(4) + sqrt(150)*-5)*-3.
30*sqrt(13)/23
Simplify ((sqrt(152)*-2*4 + 1*sqrt(152)*3)*6)/((4*(sqrt(56) - 2*sqrt(56)))/(sqrt(84)/(2*sqrt(12)))).
15*sqrt(19)/4
Simplify -2 + (-3 + -3*(sqrt(176) - (0 + sqrt(176)))*-3 + -3)**2 + 4.
38
Simplify ((-5*(sqrt(1584) + sqrt(1584) + 1*sqrt(1584) + sqrt(1584) + 4) - (3 + (sqrt(1584) + (sqrt(1584) + 0)*-3 - sqrt(1584))))*2*6 + -3)**2.
1365984*sqrt(11) + 65997585
Simplify ((-5 + (sqrt(1573) - sqrt(1573)*1))**2 + (6*(sqrt(1573) - (0 + sqrt(1573))))**2)*3 + -6*((sqrt(1573) - 2*sqrt(1573)*-3)**2 + 5).
-462417
Simplify ((sqrt(704) + sqrt(704) + 0)*-1 + 6*(sqrt(704) + -1) - (3*(4 + (sqrt(704) - -3*sqrt(704))))**2)*3.
-304578 - 6816*sqrt(11)
Simplify -2 + 1*(-1 + sqrt(200)) + 2 + -4 + 5 + sqrt(2).
11*sqrt(2)
Simplify -4 + -4*-4*(sqrt(10)/sqrt(125)*-6 - ((sqrt(108)*2)/sqrt(9) - sqrt(12))/sqrt(6)).
-176*sqrt(2)/5 - 4
Simplify (5 + -2*sqrt(6336) + (-1 + sqrt(6336))*1 - -6*(sqrt(6336) + -1)*2)**2*3.
-12672*sqrt(11) + 2300160
Simplify (-1*(sqrt(84) + (4*sqrt(84)*-1 - sqrt(84)) - sqrt(84))*-5)/((-2*sqrt(144)*2 + sqrt(144))/(-6*sqrt(60)/sqrt(5))).
-50*sqrt(7)
Simplify (5*sqrt(147)*-3 - (2 + (sqrt(147)*1 + sqrt(147) - sqrt(147))))**2 + -2 + 3 + 5.
448*sqrt(3) + 37642
Simplify (2*sqrt(2904) - (sqrt(264)/(sqrt(55)/sqrt(5)) + sqrt(24)))/((4*sqrt(144))/sqrt(12)*-5).
-sqrt(2)
Simplify (0 + -4*((sqrt(300)*-2)/sqrt(6) + sqrt(800) + sqrt(800)*1 + sqrt(50))*-6)**2.
1411200
Simplify (-3 + (sqrt(1573) + 0)*-1 + -2*(1 + sqrt(1573) - sqrt(1573)) + 1 + -2)**2.
132*sqrt(13) + 1609
Simplify ((-5*(sqrt(833) - sqrt(833)*-2) - (sqrt(833)*-1 + 0)) + -6*((2*sqrt(833) - sqrt(833)) + 4)*-4 + 1)**2.
13580*sqrt(17) + 92709
Simplify (6*sqrt(119)/sqrt(7) - (sqrt(1700) + sqrt(1700)*1))**2 - (1 + (sqrt(1377)*-3 + 2)**2).
-9066 + 108*sqrt(17)
Simplify (-6*3*(sqrt(3) - (-1*sqrt(3))**2) - (5*(sqrt(3) + 1))**2*4) + (-3 + (1*((sqrt(3) - (1 + sqrt(3))) + sqrt(3)))**2 + sqrt(192) + -1)*-1.
-224*sqrt(3) - 346
Simplify (((sqrt(133) - (sqrt(133) - (-4*-2*sqrt(133) - sqrt(133))))*-5)/(sqrt(56)/(sqrt(128) - sqrt(8)) + -1*sqrt(847) + sqrt(7) + sqrt(7)))**2*3.
628425/676
Simplify (-6*(sqrt(156) + (1*(sqrt(156) - (5*sqrt(156) + sqrt(156))) - sqrt(156))))/((sqrt(588) - (sqrt(588) + sqrt(588)*1))*-3 + sqrt(588)).
15*sqrt(13)/14
Simplify (((3 + sqrt(6)/sqrt(2) + -4)*-5)**2 + 5*sqrt(3)*2 + sqrt(243))*-6.
-600 + 186*sqrt(3)
Simplify (1*sqrt(189))/(sqrt(7) - (-1*sqrt(28) - sqrt(28))) - (sqrt(9)/(sqrt(18)/sqrt(6)) - 1*(sqrt(33)/sqrt(11))**2).
-2*sqrt(3)/5 + 3
Simplify -2*(-2*((1 + sqrt(162) - sqrt(162))*3)**2 + -2)*-6*-3.
720
Simplify -4*(sqrt(315)*-3*-1)/((sqrt(5) - sqrt(50)/(sqrt(10)*2)) + sqrt(20)/sqrt(4)*-2 + sqrt(5) + sqrt(5)).
-72*sqrt(7)
Simplify -5 + (sqrt(208) + -2 + sqrt(208))*4 + (3*-1*sqrt(117))/((sqrt(9) + -1*sqrt(9) + sqrt(9))*-3).
-13 + 33*sqrt(13)
Simplify 0 + 3*(((-3*(sqrt(3) - sqrt(6)/sqrt(2)))**2 - (1*sqrt(3) + 5)) + -5*(-3 + sqrt(3)*4))*-6.
-180 + 378*sqrt(3)
Simplify (sqrt(1512) + 6*(sqrt(1512)*1 + sq | {
"pile_set_name": "DM Mathematics"
} |
acement from {e: 5, t: 4, d: 1}. Give prob of sequence deet.
1/63
Four letters picked without replacement from pjkwfwd. Give prob of sequence fkpw.
1/420
Two letters picked without replacement from {n: 2, f: 2, x: 4, a: 4}. What is prob of sequence nf?
1/33
Three letters picked without replacement from evtv. What is prob of sequence vvt?
1/12
What is prob of sequence itcg when four letters picked without replacement from iicttg?
1/90
Two letters picked without replacement from {y: 9, l: 1, j: 4}. What is prob of sequence jy?
18/91
Two letters picked without replacement from {r: 2, p: 7, h: 1}. Give prob of sequence hr.
1/45
What is prob of sequence swss when four letters picked without replacement from swwsssssss?
2/15
Calculate prob of sequence em when two letters picked without replacement from {a: 1, e: 1, n: 1, r: 2, m: 1, p: 1}.
1/42
What is prob of sequence evg when three letters picked without replacement from {b: 1, v: 1, u: 1, e: 5, g: 2}?
1/72
Calculate prob of sequence tfrf when four letters picked without replacement from {r: 1, t: 1, f: 2}.
1/12
Calculate prob of sequence ccco when four letters picked without replacement from {c: 9, o: 5}.
15/143
Four letters picked without replacement from caaaaaccccaa. What is prob of sequence aacc?
7/99
What is prob of sequence uu when two letters picked without replacement from {f: 5, b: 1, j: 1, u: 5}?
5/33
Four letters picked without replacement from iikttkkkot. What is prob of sequence okii?
1/630
What is prob of sequence gbn when three letters picked without replacement from {n: 1, d: 1, i: 2, g: 2, b: 2}?
1/84
Four letters picked without replacement from {e: 1, h: 1, t: 1, w: 2}. What is prob of sequence twew?
1/60
What is prob of sequence jp when two letters picked without replacement from {p: 9, j: 3}?
9/44
Calculate prob of sequence jxxi when four letters picked without replacement from jjxixijxiiijxxxzziz.
5/646
What is prob of sequence iww when three letters picked without replacement from iwvwwnv?
1/35
Three letters picked without replacement from {n: 7, i: 4}. Give prob of sequence iii.
4/165
Three letters picked without replacement from gggssgssssgssgssggsg. What is prob of sequence ggs?
11/95
Calculate prob of sequence nykn when four letters picked without replacement from kyyskknyknnknknyy.
5/476
What is prob of sequence scs when three letters picked without replacement from {c: 3, s: 2, x: 7}?
1/220
Four letters picked without replacement from yyaboyyyb. What is prob of sequence oyba?
5/1512
Calculate prob of sequence hxu when three letters picked without replacement from {h: 2, o: 1, e: 1, n: 1, x: 1, u: 2}.
1/84
What is prob of sequence liil when four letters picked without replacement from lliyilliilliil?
15/286
Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwww.
1
Calculate prob of sequence wy when two letters picked without replacement from {o: 2, y: 2, u: 1, w: 4}.
1/9
Three letters picked without replacement from {f: 7, i: 2, x: 1}. Give prob of sequence ffx.
7/120
What is prob of sequence nj when two letters picked without replacement from {c: 3, a: 2, n: 5, j: 3}?
5/52
Two letters picked without replacement from {w: 1, c: 1, d: 4, v: 1, b: 3, k: 2}. Give prob of sequence dd.
1/11
Calculate prob of sequence iei when three letters picked without replacement from yyyeigiaeiiiqiiiei.
3/68
Two letters picked without replacement from vzjjtv. What is prob of sequence zt?
1/30
Calculate prob of sequence vruu when four letters picked without replacement from rugrvrru.
1/210
Calculate prob of sequence mm when two letters picked without replacement from {m: 8, h: 3, i: 6}.
7/34
Four letters picked without replacement from {s: 3, i: 1, d: 4, j: 2}. What is prob of sequence djsd?
1/70
Four letters picked without replacement from vxxxxxxv. What is prob of sequence xxvv?
1/28
Calculate prob of sequence xk when two letters picked without replacement from {j: 10, k: 5, x: 4}.
10/171
What is prob of sequence kok when three letters picked without replacement from {o: 9, k: 3}?
9/220
Calculate prob of sequence kb when two letters picked without replacement from {b: 7, k: 4}.
14/55
Two letters picked without replacement from xkksswskwwsskbbsk. Give prob of sequence kw.
15/272
Three letters picked without replacement from fof. Give prob of sequence ofo.
0
Four letters picked without replacement from hjjhjhjjjhjjjhjjhj. Give prob of sequence jhjh.
11/204
Four letters picked without replacement from wffffwfffffwwf. What is prob of sequence fwwf?
45/1001
Calculate prob of sequence mw when two letters picked without replacement from wiimmimiiwwwii.
6/91
What is prob of sequence ssu when three letters picked without replacement from {u: 1, f: 4, r: 1, k: 1, s: 8}?
4/195
Three letters picked without replacement from ytyttyyyyyttttytyyt. Give prob of sequence yyy.
40/323
Three letters picked without replacement from {x: 3, r: 3, y: 7, b: 2, s: 3}. Give prob of sequence rxr.
1/272
Four letters picked without replacement from {k: 1, i: 3, e: 4, s: 2, d: 4}. What is prob of sequence sksi?
1/4004
Three letters picked without replacement from unnngujnxxnnunnnxjn. What is prob of sequence gnn?
5/323
Two letters picked without replacement from mshhhsss. Give prob of sequence hh.
3/28
Three letters picked without replacement from mcmccmltvkmkcmc. What is prob of sequence vmt?
1/546
Two letters picked without replacement from {c: 1, d: 3, k: 6, e: 7, n: 2}. What is prob of sequence kd?
1/19
Calculate prob of sequence og when two letters picked without replacement from onggggogggng.
4/33
Calculate prob of sequence vvu when three letters picked without replacement from vuvvuvvvavaua.
21/286
Two letters picked without replacement from {m: 5, i: 1, f: 5}. Give prob of sequence mm.
2/11
Two letters picked without replacement from yeqixqyyytqiixyyy. Give prob of sequence qi.
9/272
Three letters picked without replacement from {d: 1, j: 1, i: 2, y: 2}. Give prob of sequence idy.
1/30
What is prob of sequence lbb when three letters picked without replacement from {l: 1, b: 2, n: 1, t: 1}?
1/30
Four letters picked without replacement from cvcncvvvvc. What is prob of sequence cvvc?
1/21
Three letters picked without replacement from hpfhabh. What is prob of sequence haf?
1/70
What is prob of sequence cbcc when four letters picked without replacement from {c: 3, b: 4}?
1/35
What is prob of sequence bbbe when four letters picked without replacement from {b: 6, e: 1, c: 12}?
5/3876
Four letters picked without replacement from {a: 16, t: 2}. What is prob of sequence taat?
1/153
What is prob of sequence ymm when three letters picked without replacement from {m: 11, p: 4, y: 1, k: 1}?
11/408
Calculate prob of sequence wwc when three letters picked without replacement from nfnfhhycnwnnfnnn.
0
What is prob of sequence ww when two letters picked without replacement from {f: 2, k: 7, a: 1, s: 3, w: 4}?
3/68
What is prob of sequence yr when two letters picked without replacement from rbrbrbrybbb?
2/55
What is prob of sequence rb when two letters picked without replacement from lbryo?
1/20
Calculate prob of sequence fzfy when four letters picked without replacement from zzfzzzzzzyfzyzzzy.
3/2380
Two letters picked without replacement from yyppvyppvy. Give prob of sequence yy.
2/15
Calculate prob of sequence rxr when three letters picked without replacement from {r: 12, x: 1}.
1/13
Two letters picked without replacement from {s: 1, i: 5, r: 2, h: 1}. What is prob of sequence ir?
5/36
What is prob of sequence ggg when three letters picked without replacement from ffffffggffgffff?
1/455
What is prob of sequence zyzy when four letters picked without replacement from zzyyyyzyyzyzzyyyyy?
11/204
What is prob of sequence ro when two letters picked without replacement from {r: 1, a: 2, o: 1, x: 2}?
1/30
What is prob of sequence ees when three letters picked without replacement from ennssmnessnsnsnnns?
7/2448
Calculate prob of sequence sf when two letters picked without replacement from fsufsffsffuusf.
2/13
Calculate prob of sequence texe when four letters picked without replacement from eexteetxx.
1/42
Three letters picked without replacement from {m: 1, k: 1, b: 1, s: 1, d: 1, a: 2}. What is p | {
"pile_set_name": "DM Mathematics"
} |
Suppose 2*a - 4*z = 7*a - 89, 5*a + 2*z - 87 = 0. Calculate the remainder when i is divided by a.
14
Let j = 16 + -3. Suppose -6*t = q - t + 10, -j = -2*q + t. What is the remainder when q is divided by 3?
2
What is the remainder when 69 is divided by 5/10*6 + 15?
15
Suppose 9*l = 4*l + 25. Suppose s + 20 - l = m, 4*s + 79 = 5*m. What is the remainder when 73 is divided by m?
16
Suppose 4*y - 3*q = 67, -5*y - 2*q - q = -104. Calculate the remainder when 54 is divided by y.
16
Let m(s) = 2*s - 2. What is the remainder when 12 is divided by m(3)?
0
Suppose 5*t - 3*i + 44 = -5*i, 4*t + 49 = 3*i. Suppose -30 = -3*s - 6. What is the remainder when (-8)/20 - 154/t is divided by s?
7
Let g = 9 + 3. Let u = 31 - 28. Suppose 0 = 2*i + a - 65, -47 = -u*i + 4*a + 67. What is the remainder when i is divided by g?
10
Let j(k) = -k**2 - k. Let z be j(-1). Suppose 3*a - 3*i - 9 = z, 4*a = -3*i + 3 + 23. Calculate the remainder when a is divided by ((-1)/(-2)*-2)/(2/(-8)).
1
Suppose -q - 15 = -6*q. Calculate the remainder when 16 is divided by q.
1
Suppose 88 = f - m + 4*m, -2*m = 3*f - 236. Suppose -3*y + 26 + f = 0. What is the remainder when y is divided by 9?
7
Let j(g) = -g**2 + 11*g - 6. What is the remainder when j(10) is divided by 2?
0
Let h be 2*(1060/8)/5. Suppose -h - 51 = -4*j. Calculate the remainder when j is divided by (-43)/(-5) - 4/(-10).
8
Let m(j) = j + 19. Let s be (-1)/1 - 411/3. Let y = -95 - s. Calculate the remainder when y is divided by m(-8).
10
Suppose -2*w - 3*j + 5*j = -14, -j + 65 = 5*w. Let b = 117 - 112. Calculate the remainder when w is divided by b.
2
Let n = 9 + 1. Suppose -2*a - 27 = 5*d - 2, 4*a = 2*d + 10. Suppose -6*o + o + 195 = a. What is the remainder when o is divided by n?
9
Suppose -14 = v - 42. Let s(h) = 10*h. Calculate the remainder when v is divided by s(1).
8
Let h = 18 - 17. Suppose -4*r - 2*o - o + 24 = 0, r - 2*o = 17. What is the remainder when r is divided by (5/2)/(h/2)?
4
Let h(u) = -4*u + 1. Let v be (6/4)/(2/(-4)). Calculate the remainder when h(v) is divided by (1/(-2))/(2/(-28)).
6
Let a(o) = -o**3 + 4*o**2 + 5*o + 1. Calculate the remainder when a(5) is divided by ((-16)/12 + 1)*-3.
0
Let h = 7 + -5. Suppose 3*n - 2*n = h*d - 5, 4*n - 40 = -4*d. Let w = -3 - -6. Calculate the remainder when n is divided by w.
2
Suppose 2*k - t - 46 = 4*t, 5*k + t - 169 = 0. Calculate the remainder when (-2)/3 - (-1705)/k is divided by 14.
9
Suppose 0 = 4*d + 4 + 16, -121 = -2*x + 3*d. Calculate the remainder when x is divided by 11.
9
What is the remainder when (212/9)/2 - (-4)/18 is divided by 5?
2
Suppose -2*c = -3*c + 4*o + 49, 0 = -4*c + o + 136. Calculate the remainder when c is divided by 7.
5
Suppose -3*h + 57 = 5*d, d + 3*h - 24 = -3. What is the remainder when 16 is divided by d?
7
Suppose 3*u + 4 = 43. What is the remainder when u is divided by 7?
6
Let g(s) = -s**2 - 19*s - 15. Let c(l) = 4*l + 1. Let r be c(-4). Calculate the remainder when g(r) is divided by 16.
13
Let j = 2 - -32. Let b = -11 - -20. Calculate the remainder when j is divided by b.
7
Suppose 2*x - 18 - 7 = 5*l, -l = 3*x + 5. Let d(v) = -v + 4. Calculate the remainder when 16 is divided by d(l).
7
Suppose 2*f + 3*f = 90. Let w = 45 + -10. Calculate the remainder when w is divided by f.
17
Suppose 0 = 3*h - 461 + 170. Calculate the remainder when h is divided by 49.
48
Calculate the remainder when 83 is divided by (9/(0 - -3))/((-4)/(-28)).
20
Suppose 0 = -3*b - 47 + 230. Suppose 4*a + 2*c - 84 = 8, -50 = -2*a - 2*c. Calculate the remainder when b is divided by a.
19
Suppose -4*f = -8*f + 60. Let x = -106 - -149. Calculate the remainder when x is divided by f.
13
Let g = -7 + 57. Suppose -b = 4*v - g, -2*b + 0*b + 89 = -3*v. What is the remainder when b is divided by 16?
14
Suppose 3*i - 2*d + d + 1 = 0, 5*d = 3*i + 17. Suppose -29 = -4*n - i. Let p = -26 + 39. What is the remainder when p is divided by n?
6
Let f = 18 - -9. Let g(u) = -4*u - 1 - 5 + 1 + u. Calculate the remainder when f is divided by g(-5).
7
Let j = 19 + -18. Suppose 4*t - 4 = 0, -2*t = -k + 2*t + 6. What is the remainder when (j + 1)/(2/37) is divided by k?
7
Suppose 4*q = 5*o - 130, o - 3*q + 78 = 4*o. Suppose 0 = k + 2*v - o, v + 2*v - 15 = 0. Suppose -47 = -4*g - 11. What is the remainder when k is divided by g?
7
What is the remainder when 1157/26 + 2 + 3/(-2) is divided by 16?
13
Let u = -9 - 27. Let y be (-380)/(-7) + (-2)/7. Let v = y + u. Calculate the remainder when v is divided by 10.
8
Let k be (-1614)/(-15) + (-6)/(-15). Suppose 0 = -4*f + k + 8. What is the remainder when f is divided by 16?
13
Suppose 4*p - 60 = -p. Suppose -3*u + 17 = -121. What is the remainder when u is divided by p?
10
Let y(g) = g**2 - 12*g + 11. Let l be y(8). Let s = l - -36. Let q = s + 4. What is the remainder when q is divided by 10?
9
Let y be -1*(1 + -8 + -2). Suppose 2*w = 37 - y. Suppose 2*j - w = 4. What is the remainder when 26 is divided by j?
8
Let b = 1 + 11. Suppose 2*v = -4, -f + 2*v = -11 - 0. What is the remainder when b is divided by f?
5
Let n(q) = -4*q + 12. What is the remainder when 63 is divided by n(1)?
7
Let s = -84 - -130. Suppose -5*n + 8 + 56 = 2*u, 0 = -2*u + 4. What is the remainder when s is divided by n?
10
Let s(o) be the third derivative of -o**4/24 - 3*o**3/2 - o**2. Let j be s(-5). Calculate the remainder when j/(-16) + 142/8 is divided by 10.
8
Let t(z) = -z + 13. Let h be t(10). Suppose 11 = h*w - 2*w. What is the remainder when w is divided by 4?
3
Suppose 5*i - 71 = 2*v, -5 = -i + 6*v - v. Let p(k) = -k**3 - k**2 + 5*k + 3. What is the remainder when i is divided by p(-3)?
3
Let w(j) = -j - 3. Let g be w(-4). Suppose -2*v - 5*o + g = -8, 0 = 3*v - 3*o - 45. Let s = v - -18. What is the remainder when s is divided by 16?
14
Let q(r) = -r**3 - 11*r**2 + 10*r + 21. Calculate the remainder when q(-12) is divided by 25.
20
Let v = 134 - 94. Suppose 7*w + 38 - 185 = 0. Calculate the remainder when v is divided by w.
19
Suppose 5*w - 36 - 44 = 0. Calculate the remainder when w is divided by 9.
7
Let z(b) = b**3 - 5*b**2 - b - 14. What is the remainder when z(6) is divided by 12?
4
Suppose 5*r + i - 38 = 0, 0 = -3*r - 0*i + i + 26. Calculate the remainder when 27 is divided by r.
3
Let t(k) = 3*k**2 - 1. Calculate the remainder when t(6) is divided by 36.
35
Suppose o - 4*o - 213 = 0. Let k = 106 + o. What is the remainder when k is divided by 18?
17
What is the remainder when (5 + 116/4)*3/2 is divided by 28?
23
Suppose 2*p - 5*j - 97 = 0, 5*p - 260 = -9*j + 4*j. Calculate the remainder when p is divided by 18.
15
Suppose -5*y + 71 = 26. What is the remainder when 32 is divided by y?
5
Let h(q) = q**3 + 2*q**2 - 3*q + 4. Let u be h(-3). Suppose -36 + 96 = u*o. Calculate the remainder when 2 + 5/(15/81) is divided by o.
14
Let x(g) be the second derivative of g**4/12 + 5*g**3/6 + 5*g**2/2 - 2*g. Let i = 0 + -6. Calculate the remainder when 21 is divided by x(i).
10
Let u(x) = -x + 42. Let d = 17 - -5. What is the remainder when u(0) is divided by d?
20
Suppose -4*v + z + 3*z - 8 = 0, 11 = 2*v + z. What is the remainder when 177*(-2)/(-18)*v is divided by 15?
14
Suppose 4*c - 33 + 101 = 0. Let j = c - -22. Calculate the remainder when j is divided by 4.
1
Let f(t) = -t**3 + 10*t**2 + t + 10. Suppose 16*s + 551 = 1799. Calculate the remainder when s is divided by f(10).
18
Suppose 0 = 2*j - 2*p - 8, j + p + 16 = 5*j. Suppose 0 = 5*t + j*z - 60, 2*t - 2*z = 7*t - 50. Calculate the remainder when t is divided by 3.
2
Suppose 2*t - 136 = -2*u, 5*t + 194 = 3*u + 6*t. Suppose 0 = 4*w - y - u, y = 3*w + 2*y - 56. What is the remainder when w is divided by 6?
5
Suppose -2*h = -2*k + 2*h + 28, 3*h + 49 = 5*k. Calculate the remainder when 37 is divided by k.
5
Suppose 2*b - b = 148. Suppose 5*j - b = j. Calculate the remainder when j is divided by 13.
11
Let s = 9 - -16. Suppose -3*h = 4*v - 46, 3*v - 5*h - 1 - 48 = 0. Calculate the remainder when s is divided by v.
12
Suppose 4*k + 11*d = 8*d + 139, k = 2*d + 21. Calculate the remainder when 147 is divided by k.
23
Suppose 3*f - h + 18 = 5*f, 4*h = 5*f - 58. What is the remainder when f is divided by 7?
3
Let t = 84 + -50. What is the remainder when t is divided by 18?
16
Let y = -4 + 43. What is the rem | {
"pile_set_name": "DM Mathematics"
} |
3*v + 27*h**3*x - 9726281*h**3 + 718*h**2*v*x - 27*h**2*v - 25*h**2*x + h*v*x + h*x + v + 2*x wrt h.
-12*v + 162*x - 58357686
What is the second derivative of 7*b*v**2 + 2*b*v + 282739*v**2 + 1948742*v wrt v?
14*b + 565478
What is the third derivative of 533902775*b**3 + 670108886*b**2?
3203416650
Find the third derivative of 14075423*d**4 - 113*d**2 - 584*d + 130 wrt d.
337810152*d
What is the derivative of 622498238*u**3 - 293226035 wrt u?
1867494714*u**2
What is the derivative of 3*r**3 + 2*r**2 + 4320868*r + 14352715?
9*r**2 + 4*r + 4320868
What is the derivative of -2565*m*o - 9*m*q + 3494*m - 515637*o*q + o wrt q?
-9*m - 515637*o
What is the first derivative of -174306*o**2 - 114*o + 27890512?
-348612*o - 114
Differentiate -15647954*i**3 + 2261787 wrt i.
-46943862*i**2
What is the second derivative of 14140941*d**3*h**3*n**2 + d**3*h**2*n*u + 115*d**3*h**2*n - 155*d**3*h**2*u + d*h*n**2*u - 154*h**3*n*u wrt n?
28281882*d**3*h**3 + 2*d*h*u
What is the second derivative of 44*l**3*w**3 - 2703571*l**3*w + 2*l**3 - 577092*w**3 wrt w?
264*l**3*w - 3462552*w
Find the third derivative of -9891626*f**4 - 7852185*f**2.
-237399024*f
What is the second derivative of -10748*c**2*p**2*q + 10*c**2*p*q - 13*c**2*p + 14*c*p**2*q + 9*c*p*q - 22*c*q + p**2*q + 2*q wrt p?
-21496*c**2*q + 28*c*q + 2*q
Find the second derivative of 614009345*q**2 + 382995303*q wrt q.
1228018690
Differentiate 7*a**2*p**2 + 512*a**2*p + a**2 + 579*a*p - 149437*a + 12 with respect to p.
14*a**2*p + 512*a**2 + 579*a
Find the third derivative of 8*u**4*y**2 + 555*u**3*y - 29214*u**3 + 543096*u**2*y + 285*u*y**2 wrt u.
192*u*y**2 + 3330*y - 175284
Find the third derivative of 2*g**6 + 5383061*g**3 - 5*g**2 + 6913*g - 16 wrt g.
240*g**3 + 32298366
What is the second derivative of -37172756*x**2 + 91537750*x wrt x?
-74345512
Find the first derivative of -79497759*f - 101567396.
-79497759
What is the second derivative of 724*h**3*p**2 + 426160*h**3*p - 3*h**3 + 41*h**2*p**2 - 2*h*p**2 + 32*p**2 + p wrt p?
1448*h**3 + 82*h**2 - 4*h + 64
What is the second derivative of -262334226*i**3 - 10*i + 1015675 wrt i?
-1574005356*i
Find the third derivative of -495755206*l**6 - 11819*l**2 + 6684.
-59490624720*l**3
Find the second derivative of 131346531*u**2 + 4*u + 1312072 wrt u.
262693062
What is the third derivative of -81606*w**5 - 5*w**3 + 4*w**2 + 5*w + 175839?
-4896360*w**2 - 30
What is the third derivative of -1005*j*y**5 - 4*j*y**3 - 9981822*j*y**2 + 2*j - 1938*y**3 wrt y?
-60300*j*y**2 - 24*j - 11628
Differentiate 7263761*l**2 - 7868503.
14527522*l
What is the first derivative of -742501*g**2*t**4 - 1334316*g**2 - 7*g*t**4 - g - 1 wrt t?
-2970004*g**2*t**3 - 28*g*t**3
What is the third derivative of -44509*z**4 - 66*z**3 + 29512008*z**2 wrt z?
-1068216*z - 396
What is the third derivative of -117*q**5 - 86*q**4 + 43*q**3 + 5*q**2 - 3*q - 141682?
-7020*q**2 - 2064*q + 258
Find the second derivative of 37*c*h**2 + 2806*c*h + 1261*c + 98243*h**2 + h + 4 wrt h.
74*c + 196486
What is the first derivative of -30*s**3 - 1401*s**2 + 24334095?
-90*s**2 - 2802*s
What is the third derivative of 1246304149*n**5 - 2881171*n**2 - 1 wrt n?
74778248940*n**2
Find the second derivative of -3*o**3*y - 33*o**3 + 2989*o**2*y + 9*o**2 + 2429*o*y + 64*o - y + 4 wrt o.
-18*o*y - 198*o + 5978*y + 18
What is the first derivative of 829*g**3 + 24*g**2 - 5124*g + 431653417 wrt g?
2487*g**2 + 48*g - 5124
What is the second derivative of 196859136*j**3 - 166195*j + 166 wrt j?
1181154816*j
What is the second derivative of d**3 - 1063061*d**2*f - 3*d*f - 25611*f + 10 wrt d?
6*d - 2126122*f
Find the third derivative of -326*r**4*u - 229*r**4 + 7*r**3*u + r**3 - 4*r**2*u - 3*r - 787*u + 3 wrt r.
-7824*r*u - 5496*r + 42*u + 6
Find the third derivative of 41758374*r**3 + 71559430*r**2.
250550244
What is the third derivative of 6866945*b*h**3 + 46353*b*h**2 + 688*b*h wrt h?
41201670*b
Find the second derivative of 126325876*n**5 + 68226320*n.
2526517520*n**3
Differentiate 318197438*r - 166006479 wrt r.
318197438
Differentiate -189647157*x**4 - 297284912 with respect to x.
-758588628*x**3
Find the second derivative of -11919208*u**3 - 48299546*u wrt u.
-71515248*u
What is the first derivative of -30642651*z**3 - 38393539?
-91927953*z**2
Find the third derivative of -716292290*j**3*r**2 - 17*j**2*r**2 + 14*j**2*r - 88*j**2 + j*r**2 - 2*r + 6 wrt j.
-4297753740*r**2
What is the second derivative of -622*l**5 + 69*l**4 - 69*l - 93896?
-12440*l**3 + 828*l**2
What is the third derivative of 85130434*d**4 + 131714*d**2 + 29*d wrt d?
2043130416*d
What is the derivative of 28387800*b + 99820599?
28387800
What is the derivative of -97*l**3 - 13*l**2 - 48699*l - 363994467?
-291*l**2 - 26*l - 48699
What is the second derivative of -1351081*p**3 - 3*p**2 + 22852682*p + 2?
-8106486*p - 6
What is the derivative of 140597714*r*u - 776637587*r wrt u?
140597714*r
What is the second derivative of 5611818*a**2*l**2*w - a**2*l + 24*a*l**2*w + 2188*a*w + 180*a - 2*l + 3*w wrt l?
11223636*a**2*w + 48*a*w
Differentiate 26416292*z - 242975277 with respect to z.
26416292
What is the first derivative of 757308*d**3 + d + 6905426 wrt d?
2271924*d**2 + 1
Find the third derivative of 576601632*n**5 - 1022317*n**2 - 135*n wrt n.
34596097920*n**2
Differentiate 2*w**3 + 2777597*w + 1208615765 wrt w.
6*w**2 + 2777597
Differentiate 3*h**3 - 68*h**2*r - 4009*h*r - 107*r + 19105 wrt h.
9*h**2 - 136*h*r - 4009*r
What is the second derivative of 14530534*k**5 - 2*k + 659263 wrt k?
290610680*k**3
Differentiate -972859*h**2 - 10*h + 122494338 with respect to h.
-1945718*h - 10
What is the second derivative of -119923752*q**3 + 210*q - 100616 wrt q?
-719542512*q
Find the second derivative of 126957*p**5 + p**3*s - 31*p*s - 12933*p wrt p.
2539140*p**3 + 6*p*s
Find the first derivative of 10*a**2 + 77625*a + 9061160 wrt a.
20*a + 77625
Find the first derivative of 42*g*t**3 - g*t**2 - 51*g*t + 2485*g + 43797346*t**3 wrt g.
42*t**3 - t**2 - 51*t + 2485
What is the derivative of 37406977*j + 21350835?
37406977
Find the third derivative of 148894273*h**3 + 664*h**2 + 71645*h + 1.
893365638
What is the first derivative of q**3 - 6820924*q**2 + 14742911?
3*q**2 - 13641848*q
Find the second derivative of -470105362*h**2 + 1902183*h - 146 wrt h.
-940210724
What is the second derivative of 609*y**4 - 4059*y**2 + 3805700*y?
7308*y**2 - 8118
Differentiate -3*a*c**2 + 655*a*c + 16231581*a - 14*c**2 + 24*c wrt c.
-6*a*c + 655*a - 28*c + 24
What is the third derivative of -22505705*h**3*r**4 + 3796*h**3*r**2 - h**3*r + 282*h*r**2 - 3*h*r - r**5 wrt r?
-540136920*h**3*r - 60*r**2
What is the derivative of 14808511*n**2 + 29119978 wrt n?
29617022*n
Differentiate 366251610*s - 209491172.
366251610
What is the first derivative of -184173663*l**4 + 109840826 wrt l?
-736694652*l**3
What is the first derivative of 17*v**3 - 4*v**2 - 17810*v - 11063197?
51*v**2 - 8*v - 17810
What is the second derivative of 9109913*z**2 - 3888*z + 7?
18219826
Find the third derivative of -9*f*j*p**3 + 107904*f*j*p**2 + 4578329*j*p**4 - 104*j*p**2 - 2*j*p wrt p.
-54*f*j + 109879896*j*p
Differentiate 294828550*z + 58004804 wrt z.
294828550
Find the third derivative of -234078*b**4 + 26*b**3 + 2*b**2 + 3051435*b wrt b.
-5617872*b + 156
What is the second derivative of -26895444*u**2*x**3 + 9925465*u**2*x wrt x?
-161372664*u**2*x
What is the derivative of -86097154*c**2 - c - 159801429?
-172194308*c - 1
Find the first derivative of 17537646*q**2 - 5*q - 211191352 wrt q.
35075292*q - 5
What is the first derivative of 21*v**2 + 136794*v - 7824998?
42*v + 136794
What is the third derivative of -141*w**5 + 604373*w**3 - 808723949*w**2 wrt w?
-8460*w**2 + 3626238
Differentiate 20162511*h**3 - 4893155.
60487533*h**2
Find the second derivative of -24486475*j**4 - 36334769*j wrt j.
-293837700*j**2
Find the first derivative of 7*z**4 - 126*z**3 - 2*z**2 + 444*z + 2655052.
28*z**3 - 378*z**2 - 4*z + 444
Find the second derivative of 11421813*t**4 - 419435*t - 42 wrt t.
137061756*t**2
Find the second derivative of -34932967*k**3 + 1736051*k wrt k.
-209597802*k
Find the third derivative of 9*h**6 - 3*h**5 - 126644*h**3 + 26*h**2 + 296*h + 264.
1080*h**3 - 180*h**2 - 759864
Find the second derivative of 18*v**3 - | {
"pile_set_name": "DM Mathematics"
} |
e 16) to base 9.
-1465477
Convert -32235867 (base 9) to base 13.
-32b7809
Convert -155121 (base 10) to base 5.
-14430441
-11001101010110011111 (base 2) to base 9
-1521716
What is 27381a (base 14) in base 11?
845629
What is -10101111001010000011010 (base 2) in base 14?
-a95958
Convert -450948 (base 10) to base 5.
-103412243
Convert -103233002020 (base 4) to base 2.
-10011101111000010001000
What is -1b6b4 (base 15) in base 13?
-3182b
-31b0a5a (base 12) to base 5
-4403431030
-143d1 (base 14) to base 8
-141763
What is -1606864 (base 11) in base 4?
-22132220023
Convert 29559 (base 13) to base 9.
127660
What is -104100550 (base 7) in base 13?
-13abbc4
Convert 12200011122021 (base 3) to base 11.
177a141
Convert 34007 (base 14) to base 11.
86926
Convert -40b33 (base 12) to base 3.
-11022000010
What is -313222034 (base 5) in base 14?
-25d64c
What is 20020112012211 (base 3) in base 11?
1966212
What is 633330 (base 7) in base 8?
325272
Convert -1113013214 (base 5) to base 12.
-9b1355
Convert -2343031413 (base 5) to base 8.
-24600170
Convert -42144646 (base 7) to base 13.
-9773a1
Convert -220222121121 (base 3) to base 10.
-491794
What is 1aff9d (base 16) in base 13?
49c488
What is 1215303 (base 6) in base 15?
14280
Convert 1510e5 (base 15) to base 16.
f811a
220400304 (base 5) to base 8
3477477
What is 143023233 (base 5) in base 12?
303011
Convert -1002120220212 (base 3) to base 7.
-4643666
9058602 (base 10) to base 11
5127953
-1252221443 (base 6) to base 5
-12311322301
What is -11023015 (base 7) in base 6?
-32144231
Convert -16a8466 (base 14) to base 11.
-6335306
What is -1000110001001001100 (base 2) in base 9?
-477101
-457565 (base 8) to base 7
-1215244
b1641 (base 15) to base 4
2021013331
What is -1000111100000100000011 (base 2) in base 13?
-6406bc
Convert 1888268 (base 10) to base 15.
274748
5a1a (base 14) to base 3
210112122
Convert -1120021011 (base 3) to base 9.
-46234
Convert 474862 (base 9) to base 11.
185757
-111000000100110001001 (base 2) to base 9
-3410450
Convert 1411505 (base 9) to base 7.
6406313
What is b736 (base 12) in base 13?
918c
-20245 (base 16) to base 10
-131653
-330402002 (base 5) to base 8
-5323372
Convert 20968 (base 12) to base 15.
ca68
Convert 3205498 (base 10) to base 2.
1100001110100101111010
What is 313aa (base 12) in base 11?
44505
What is 1111011011101101 (base 2) in base 14?
19073
-18c61b (base 16) to base 11
-a09901
What is -b6a98a (base 14) in base 13?
-1383092
6022506 (base 7) to base 16
adbd1
-8448a (base 13) to base 16
-3a1f2
20bc71 (base 16) to base 4
20023301301
12242421 (base 5) to base 3
20000112101
Convert ba6a4 (base 15) to base 14.
115b0d
Convert -22201223223 (base 4) to base 9.
-5165163
What is -1633352 (base 8) in base 3?
-220000120111
1052115 (base 6) to base 16
d16f
Convert 5cc31 (base 15) to base 11.
192739
-604126 (base 7) to base 3
-12012022021
312330100 (base 4) to base 7
1625044
What is -22b225 (base 12) in base 7?
-4514111
-42040613 (base 8) to base 9
-17720181
Convert -15132311 (base 6) to base 4.
-2000101303
-49409 (base 10) to base 13
-19649
Convert -10001111111001010110011 (base 2) to base 7.
-55035621
Convert 5510544 (base 6) to base 15.
56144
Convert -410020 (base 13) to base 10.
-1513759
4136222 (base 7) to base 14
cd082
100213322 (base 4) to base 15
15295
What is 100000111001110111 (base 2) in base 12?
65bb3
What is 58036 (base 14) in base 2?
110100010001000000
14613566 (base 8) to base 7
40313634
What is -3c4f7 (base 16) in base 14?
-66051
What is 57006 (base 9) in base 11?
26538
-89187 (base 11) to base 9
-216352
-2d12b (base 14) to base 15
-2360e
What is b81414 (base 12) in base 15?
3c5caa
What is 3613a (base 14) in base 16?
20378
Convert 2822b2 (base 12) to base 14.
135338
What is 106312002 (base 7) in base 3?
110021110112020
132232043 (base 5) to base 13
1a36aa
What is -212a1a (base 11) in base 12?
-145164
-4042441 (base 5) to base 8
-177533
Convert 186657 (base 9) to base 8.
343341
What is -646047 (base 8) in base 14?
-58a7d
Convert 2112413012 (base 5) to base 15.
5c4857
Convert -10010110100011001011001 (base 2) to base 5.
-2230330314
Convert c259 (base 15) to base 7.
230430
Convert 4557510 (base 8) to base 10.
1236808
What is 1101111011011101110101 (base 2) in base 5?
1413321240
38ee (base 15) to base 6
132125
Convert 170d313 (base 14) to base 2.
101011001110010000010101
Convert -262231 (base 8) to base 15.
-1c0ae
-1b9255 (base 12) to base 2
-1111000010100100001
2306311 (base 7) to base 13
a1098
-44421423 (base 5) to base 11
-246286
-110000111010111100101 (base 2) to base 14
-2da2b3
Convert 227654 (base 12) to base 7.
4456540
What is 2562636 (base 7) in base 13?
b9499
23110202 (base 4) to base 5
2440440
Convert -1342357 (base 9) to base 6.
-23442041
Convert -1196427 (base 10) to base 5.
-301241202
-10110102021222 (base 3) to base 12
-748115
5011236 (base 7) to base 10
591114
Convert -40654561 (base 8) to base 9.
-17170100
What is 1b89240 (base 14) in base 8?
64436230
What is -10110001001000101011 (base 2) in base 3?
-1100212021010
332025 (base 6) to base 3
1101221122
Convert -100111000000010001101 (base 2) to base 10.
-1278093
Convert -1167601 (base 9) to base 11.
-3a4469
Convert -22112021221 (base 3) to base 7.
-1266313
3306422 (base 8) to base 10
888082
4442422044 (base 5) to base 11
5548417
124930 (base 13) to base 3
211021212111
What is -1035001 (base 6) in base 14?
-14b57
Convert -75683 (base 10) to base 16.
-127a3
Convert 737546 (base 8) to base 6.
5133022
Convert -145228 (base 10) to base 11.
-9a126
What is 1445497 (base 14) in base 9?
20471421
What is 1010101101111111000111 (base 2) in base 11?
164a053
Convert 25400165 (base 7) to base 11.
1333023
What is -50429 (base 13) in base 7?
-1135262
40211102 (base 5) to base 3
121020022100
-222202010021 (base 3) to base 15
-a5ea1
-21331021332 (base 4) to base 7
-31116501
3f6b51 (base 16) to base 5
2030444431
Convert 223110110032 (base 4) to base 12.
39774ba
What is -129b46 (base 13) in base 10?
-450105
112212210002 (base 3) to base 11
190071
What is -4235004 (base 6) in base 15?
-4159d
6b2a65 (base 12) to base 2
110100101011001101101
What is 20055 (base 7) in base 3?
20122100
What is -21b750 (base 12) in base 4?
-2003131230
What is 110132021202 (base 4) in base 11?
3035919
-19240 (base 15) to base 10
-81510
103647 (base 10) to base 2
11001010011011111
What is 614348 (base 9) in base 6?
11445242
Convert 404979 (base 10) to base 8.
1426763
-2022012313 (base 4) to base 10
-565687
Convert -19a722 (base 14) to base 2.
-11011110110000011010
-e4f38 (base 16) to base 8
-3447470
Convert 13146443 (base 7) to base 8.
4461702
Convert 10032135 (base 6) to base 3.
112110000012
What is -26b71 (base 12) in base 6?
-1051421
112bd1 (base 15) to base 7
6651661
Convert b82c (base 16) to base 4.
23200230
Convert 11121114 (base 5) to base 3.
11222211011
1100010101000010011011 (base 2) to base 6
153134255
25350212 (base 6) to base 11
5123a9
Convert -1016609 (base 10) to base 11.
-634880
-1196f3 (base 16) to base 6
-40412455
What is -1537 (base 8) in base 4?
-31133
What is -172132 (base 10) in base 14?
-46a32
Convert 32230203131 (base 4) to base 16.
3ac8dd
What is -33766 (base 14) in base 5?
-12444232
-27a603 (base 15) to base 7
-22135230
4069c (base 13) to base 6
2250111
-1013023221222 (base 4) to base 10
-18659946
What is -179961 (base 10) in base 12?
-88189
131104521 (base 6) to base 9
4754104
Convert -7aa7e (base 15) to base 7.
-3214316
506805 (base 9) to base 4
1021103300
What is 745341 (base 8) in base 10?
248545
114500542 (base 6) to base 11
1262902
Convert 25358 (base 11) to base 9.
54783
Convert 13734 (base 8) to base 13.
2a1b
Convert 1013012341 (base 5) to base 16.
1fb978
-204242311 (base 5) to base 11
-532821
What is acd6 (base 14) in base 8?
72434
-b043 (base 13) to base 8
-57236
What is 331212020 (base 6) in base 16?
5aad4c
Convert -223345 (base 8) to base 4.
-102123211
Convert 100011001110111 (base 2) to base 10.
18039
-10861076 (base 9) to base 8
-24146645
1001002102010 (base 3) to base 9
1032363
Convert -2a2aaa (base 15) to base 13.
-562b5b
Convert 400411244 (base 5) to base 10.
1575824
51a485 (base 11) to base 14
179bdd
Convert -171c1 (base 15) to base 11.
-510aa
-6424205 (base 8) to base 11
-a70a93
-267714 (base 11) to base 14
-ad171
Co | {
"pile_set_name": "DM Mathematics"
} |
r x(k).
-2*(k - 5)**2*(k - 1)**3/13
Let y(j) be the first derivative of -j**8/420 + j**7/105 - j**6/90 + 2*j**3/3 + 11*j**2 - 48. Let r(p) be the third derivative of y(p). Solve r(q) = 0 for q.
0, 1
Suppose 0 - 21*u + 6*u**2 - 3/7*u**3 = 0. What is u?
0, 7
Let b(l) be the first derivative of l**4/34 + 26*l**3/17 - 40*l**2/17 + 254. Let b(y) = 0. What is y?
-40, 0, 1
Let i(u) be the first derivative of -u**6/30 - 3*u**5/20 - u**4/4 - u**3/6 - 22*u + 18. Let f(d) be the first derivative of i(d). Let f(q) = 0. Calculate q.
-1, 0
Suppose -d = -3*q + 118, -5*q - 7*d = -5*d - 193. Let r be q/(-6)*26/(-91). Let r*a**2 + 17/7*a**4 + 2/7*a + 4/7*a**5 + 24/7*a**3 + 0 = 0. What is a?
-2, -1, -1/4, 0
Let a be 450/442 - (-12 + (-8007)/(-663)). Factor -a*r + 6/17 + 10/17*r**2.
2*(r - 1)*(5*r - 3)/17
Solve -2/7*q**2 - 18/7*q - 40/7 = 0.
-5, -4
Let s = -1 + 9. Let k(b) be the first derivative of -s*b - 4 + 4*b**2 - 2/3*b**3. Suppose k(t) = 0. Calculate t.
2
Let v(m) = -2*m + 25. Let f be v(8). Determine x, given that 33 - 33 + 6*x - 3*x**4 + f*x**2 = 0.
-1, 0, 2
Suppose -20 - 2*z**3 + 20*z**2 - 5*z - 7*z**3 + 14*z**3 = 0. What is z?
-4, -1, 1
Suppose 272 - 290 = -9*x. Solve 2/11*b - 2/11*b**3 - 6/11*b**x + 2/11*b**4 + 4/11 = 0.
-1, 1, 2
Factor 168*q**2 + 54*q - 20 + 58*q + 244*q**2 + 102*q**2 - 382*q**2.
4*(q + 1)*(33*q - 5)
Let i(v) = -v**3 + v**2 + 16*v - 25. Let c be i(3). Factor 0 + 0*p**3 + 4/17*p**4 - 2/17*p**c - 4/17*p**2 + 2/17*p.
-2*p*(p - 1)**3*(p + 1)/17
Let w(n) be the third derivative of -n**7/42 + 15*n**6/8 - 18*n**2. Factor w(d).
-5*d**3*(d - 45)
Let o(n) = -n**3 + n**2 + n - 1. Let k(b) = 12*b**3 - 27*b**2 - 36*b + 51. Let p(a) = -k(a) - 9*o(a). Find l such that p(l) = 0.
-2, 1, 7
Suppose -29*w = 101*w - 38*w - 368. Let 11*c**2 - 7/4*c**5 + 0 + 1/4*c**3 - 3*c - 13/2*c**w = 0. What is c?
-3, -2, 0, 2/7, 1
Factor -16/9*s - 10/9*s**2 - 8/9 - 2/9*s**3.
-2*(s + 1)*(s + 2)**2/9
Let p(c) be the first derivative of -1/15*c**6 + 8/5*c + 44 + 14/25*c**5 - 19/10*c**4 - 16/5*c**2 + 10/3*c**3. Let p(v) = 0. Calculate v.
1, 2
Let u = -61 + 78. Determine x so that 0*x + u*x - 3*x**2 - 7*x - 27 + 8*x = 0.
3
Let x(a) be the first derivative of -1/2*a**2 - 1/12*a**3 + 1 - a. Factor x(j).
-(j + 2)**2/4
Let l(y) = -8*y - 14. Let v be l(-2). Let z(i) be the second derivative of i**v + 0 + 1/5*i**5 - 4*i + 0*i**4 - 2/3*i**3 - 1/15*i**6. Factor z(m).
-2*(m - 1)**3*(m + 1)
Let i(m) be the third derivative of 5*m**8/336 - 5*m**7/42 + 3*m**6/8 - 7*m**5/12 + 5*m**4/12 - 3*m**2 - 12. Determine k, given that i(k) = 0.
0, 1, 2
Let c(u) be the second derivative of 0 - 1/100*u**5 + 1/30*u**4 + 0*u**2 - 6*u - 1/30*u**3. Factor c(w).
-w*(w - 1)**2/5
Let r be ((-4)/11)/((-8)/44). Factor 2/15*s**4 - 2/5*s**3 + 0 - 2/15*s + 2/5*s**r.
2*s*(s - 1)**3/15
Let t(r) be the second derivative of -r**6/15 + 4*r**5/5 - 5*r**4/2 - 4*r**3/3 + 20*r**2 + 46*r. Solve t(m) = 0.
-1, 2, 5
Let b be (-2 - (-17)/8) + 51/204. Factor -3/8*d**4 + b*d**5 + 0 + 15/8*d**2 - 3/4*d - 9/8*d**3.
3*d*(d - 1)**3*(d + 2)/8
Suppose -5*z - 4 = -c, -z + 4 = c + z. Let n = -59 + 71. Determine g, given that 24*g**3 - 17*g**c - 2 - n*g - 1 + 6*g**2 - 12*g**5 + 14*g**4 = 0.
-1, -1/4, 1
Let v(y) be the first derivative of y**4/7 + 4*y**3/7 + 4*y**2/7 - 118. Let v(u) = 0. What is u?
-2, -1, 0
Let y = -4/1115 + 781/31220. Let n(a) be the second derivative of y*a**5 + a - 9/14*a**2 + 3/28*a**4 - 1/14*a**3 + 0. Suppose n(b) = 0. Calculate b.
-3, -1, 1
Factor 0 - 1/7*j**5 + 36/7*j**2 + 32/7*j**3 + 5/7*j**4 + 0*j.
-j**2*(j - 9)*(j + 2)**2/7
Factor 4*v**3 + 52*v**2 + 36*v + 35*v + 39*v + 30*v - 196.
4*(v - 1)*(v + 7)**2
Let q(l) be the first derivative of 2*l**5/5 + 4*l**4 + 12*l**3 - 54*l - 40. Factor q(s).
2*(s - 1)*(s + 3)**3
Suppose 0 = 5*p + 5*f, -127 + 106 = -3*p + 4*f. Let r(n) be the first derivative of 0*n**p - 1/8*n**4 + 14 + 1/24*n**6 + 0*n + 1/8*n**2 + 0*n**5. Factor r(x).
x*(x - 1)**2*(x + 1)**2/4
Let y be (-55)/(-255) + (415/(-85) - -5). Let r(p) be the first derivative of -4/3*p**3 + 0*p**4 + y*p**6 - 2 + 0*p + 4/5*p**5 - p**2. Factor r(v).
2*v*(v - 1)*(v + 1)**3
Let b(z) be the third derivative of 0 - 7/2*z**3 - 1/40*z**6 + 7/20*z**5 + 1/8*z**4 + 0*z + 3*z**2. Solve b(u) = 0.
-1, 1, 7
Determine a so that -91*a + 1/4*a**2 + 8281 = 0.
182
Let q = -58 - -1857/32. Let x(m) be the first derivative of 15/16*m**2 - 9/8*m + 3 + q*m**4 - 7/24*m**3. Factor x(u).
(u - 3)**2*(u - 1)/8
Let g be (-7 + 1)/(-3) - -1. Factor c**4 - 4*c**4 - c**4 + 4*c**g + 2*c**4.
-2*c**3*(c - 2)
Let v = -21 + 25. Factor 13*q**3 + 4*q**v + 12*q**2 - q**3 + 4*q + 0*q**3.
4*q*(q + 1)**3
Suppose 4*n**2 - 80*n - 98*n**3 + 42*n + 38*n = 0. What is n?
0, 2/49
Let c be 6/(-10) - (-2044)/2940. Let f(o) be the second derivative of -8/15*o**6 + 2/3*o**4 - 4*o + c*o**7 + 4/5*o**5 + 0 + 4*o**2 - 10/3*o**3. Factor f(i).
4*(i - 2)*(i - 1)**3*(i + 1)
Let j(b) = 5*b**4 - 419*b**3 + 9246*b**2 - 8808*b - 6. Let k(t) = 80*t**4 - 6705*t**3 + 147935*t**2 - 140930*t - 95. Let r(l) = 95*j(l) - 6*k(l). Factor r(y).
-5*y*(y - 42)**2*(y - 1)
Let -38/3*l - 32/9*l**2 + 0 + 2/9*l**3 = 0. What is l?
-3, 0, 19
Suppose 3*a = -3*n + 24, 0*a - 15 = -5*a. Let d(l) be the first derivative of 0*l**3 + 1/12*l**4 + 2/3*l + n - 1/2*l**2. Solve d(v) = 0.
-2, 1
Let i(d) be the third derivative of 0 + 9*d**2 + 0*d**4 + 0*d**3 - 1/40*d**6 + 1/30*d**5 + 0*d - 1/42*d**7. Factor i(v).
-v**2*(v + 1)*(5*v - 2)
Let c(x) be the third derivative of -x**5/30 + 2*x**4/3 - 13*x**2 - 3*x. Factor c(f).
-2*f*(f - 8)
Let s be (-4)/(-12)*(0/(-2) + -3). Let h be (-1)/(6/(-4)) - (1 + s). Find j, given that h*j - 1 + 1/3*j**2 = 0.
-3, 1
Suppose 43*c = 46*c - 6. Solve 9/4*s + 3/8*s**c + 27/8 = 0 for s.
-3
Let z be 60/(-9)*(-6)/(-4). Let o(q) = q**4 - q**2 - 1. Let a(g) = -8*g**4 + 8*g**3 + 14*g**2 - 8*g + 4. Let f(k) = z*o(k) - a(k). Factor f(m).
-2*(m - 1)*(m + 1)**2*(m + 3)
Let p(u) be the second derivative of u**4/48 + u**3/4 + 5*u**2/8 - 5*u - 10. Factor p(i).
(i + 1)*(i + 5)/4
Let l(g) = 0*g - 2*g + 3 + 1 + 3*g. Let w be l(-2). Solve -32*c**2 - 8 + 30*c**3 - 32*c**w + 44*c - 2*c**3 = 0.
2/7, 1
Let r(h) = 14*h + 33. Let t be r(-3). Let m be 6 - (-3)/9*t. Let -13/7*z - 2/7 - 24/7*z**2 - 9/7*z**m = 0. Calculate z.
-2, -1/3
Let t(a) = a**5 - 9*a**4 + 5*a**3 + 9*a**2 + 9. Let p(l) = l**4 - l**3 - l**2 - 1. Let n(j) = -36*p(j) - 4*t(j). Factor n(b).
-4*b**3*(b - 2)*(b + 2)
Let c(r) be the second derivative of -5*r**7/294 - 6*r**6/35 - 22*r**5/35 - 16*r**4/21 + 8*r**3/7 + 32*r**2/7 - 319*r. Factor c(p).
-(p + 2)**4*(5*p - 4)/7
Let -9*l**3 + 144*l + 27/4*l**4 - 3/4*l**5 - 108 - 48*l**2 = 0. Calculate l.
-3, 2, 6
Let d(m) be the first derivative of m**4/8 + 5*m**3/6 + 2*m**2 + 2*m + 83. Determine q, given that d(q) = 0.
-2, -1
Suppose 7*l = -10*l + 51. Let r(b) be the first derivative of -5*b**4 - 2*b - 3*b**6 + 4*b**3 + 3*b**2 - 42/5*b**5 - l. Factor r(t).
-2*(t + 1)**3*(3*t - 1)**2
Let j(r) be the first derivative of -4*r**3/3 - 16*r**2 - 60*r - 44. Factor j(m).
-4*(m + 3)*(m + 5)
Suppose -3*f = -0*f - 6*f. Let d(i) be the second derivative of 1/90*i**6 + 2*i + f + 1/12*i**4 + 0*i**2 + 1/18*i**3 + 1/20*i**5. Let d(x) = 0. Calculate x.
-1, 0
Let d(i) be the third derivative of -i**5/300 - i**4/30 + 7*i**3/10 - i**2 + 407*i. Solve d(j) = 0.
-7, 3
Suppose -3*o = -2*g - 8 - 2, 5*g = 5*o - 20. Suppose 0 = -2*l + 3 + 5. Factor 4/7*y**3 - 4/7*y + 0*y**o + 2/7 - 2/7*y**l.
-2*(y - 1)**3*(y + 1)/7
Let x(h) be the second derivative of -h**4/36 + 4*h**3 - 71*h**2/6 + 161*h. Factor x(o).
-(o - 71)*(o - 1)/3
Let a(m) = -m**3 - 16*m**2 - 5*m - 76. Let w be a(-16). Let i be (7 - 1)*6/12. Factor i*r**2 + 13/5*r**3 + 7/5*r + 4/5*r**w + 1/5.
(r + 1)**3*(4*r + 1)/5
Let w = 9 + -9. Let o(v) = 4 - v**4 - v**3 + w*v**4 - 5. Let h(d) = 2*d**5 + 12*d**3 - 2*d**2 + 6. Let l(t) = -h(t) - 6*o(t). Determine k, given that l(k) = 0.
0, 1
Let a(d) be the third derivative of -d**10/30240 + d**9/5040 - d**7/630 + d**4/2 - 7*d**2. Let x(s) be the second derivative of a(s). Factor x(v).
-v**2*(v - 2)**2*(v + 1)
Let i(p) be the second derivative of -2/15*p**6 - 2*p**4 + 0 - 4/5*p**5 + 9*p - 2*p**2 - 8/3*p**3. Let i(k) = 0. Calculate k.
-1
Let q = -457 - -460. Let y(k) be the third derivative of 0*k + 1/40*k**4 + 0*k**q + 12*k**2 + 0 - 1/100* | {
"pile_set_name": "DM Mathematics"
} |
culate 9 divided by 144.
1/16
What is -4608 divided by 6?
-768
Divide -304 by -1.
304
Calculate 1060 divided by -530.
-2
Divide 0 by -134.
0
Divide -39 by -105.
13/35
Divide -5146 by 83.
-62
What is -4 divided by -4153?
4/4153
70 divided by -33
-70/33
Calculate -6 divided by -131.
6/131
What is -7686 divided by -366?
21
What is -324 divided by -36?
9
Calculate 4 divided by 20.
1/5
Calculate -24736 divided by -6184.
4
Divide -1900 by 25.
-76
What is 9 divided by 74?
9/74
Calculate -22 divided by 329.
-22/329
Divide -146 by -2.
73
Calculate -100 divided by -10.
10
Calculate -10252 divided by 233.
-44
Calculate 326 divided by -1.
-326
What is 240 divided by -48?
-5
Calculate 40 divided by 654.
20/327
Divide -26 by 160.
-13/80
Divide -780 by 65.
-12
What is 13350 divided by -890?
-15
What is 129 divided by 129?
1
What is -4 divided by 1746?
-2/873
What is 25 divided by -15?
-5/3
77 divided by 77
1
-3440 divided by 80
-43
Calculate -1716 divided by -4.
429
Divide 2844 by 9.
316
What is 5 divided by 251?
5/251
-6 divided by 27
-2/9
Calculate 2079 divided by 63.
33
Divide -2 by -184.
1/92
-10398 divided by 6
-1733
674 divided by 674
1
Divide 2119 by -2119.
-1
Divide 0 by -8941.
0
Divide -12 by 18.
-2/3
Calculate 828 divided by -92.
-9
Divide -628 by 157.
-4
Calculate -6875 divided by 11.
-625
10 divided by -29
-10/29
Calculate 1770 divided by 590.
3
Calculate -1158 divided by 193.
-6
Calculate -144 divided by -16.
9
What is 53 divided by 420?
53/420
Divide 5 by 322.
5/322
What is 8649 divided by -3?
-2883
What is -4 divided by -28?
1/7
Divide -3244 by -3.
3244/3
Calculate -77 divided by -6.
77/6
Divide 6276 by -1046.
-6
Divide 15488 by -352.
-44
56 divided by -12
-14/3
8220 divided by 274
30
Calculate 9216 divided by 3.
3072
Divide 321 by 6.
107/2
-358 divided by -179
2
What is -38 divided by 15?
-38/15
What is 5 divided by 1?
5
Calculate 4 divided by -1092.
-1/273
What is 3360 divided by 32?
105
-4194 divided by 466
-9
What is 1298 divided by 6?
649/3
What is -5 divided by -7?
5/7
Calculate -244 divided by -2.
122
Calculate -1 divided by 842.
-1/842
-158 divided by 2
-79
What is 225 divided by 75?
3
What is -4 divided by -2226?
2/1113
Calculate -3 divided by 2433.
-1/811
What is -318 divided by 106?
-3
138 divided by 2
69
What is -15494 divided by -1?
15494
What is 115 divided by 23?
5
Divide -33 by 7.
-33/7
What is -96 divided by -71?
96/71
What is 27009 divided by -3?
-9003
-4 divided by -2685
4/2685
Calculate -45 divided by -4.
45/4
Calculate 1260 divided by -6.
-210
What is 215 divided by 6?
215/6
-30 divided by 3
-10
-5890 divided by -62
95
Divide -215 by 43.
-5
What is -1862 divided by 5?
-1862/5
Calculate -1690 divided by 338.
-5
What is -125 divided by -25?
5
33 divided by -41
-33/41
What is 7 divided by 49?
1/7
What is 5830 divided by -6?
-2915/3
Calculate -18880 divided by -2360.
8
Calculate 24 divided by 6.
4
-726 divided by 6
-121
Calculate -684 divided by 2.
-342
-30 divided by -4
15/2
What is 3 divided by 3?
1
Divide 70 by -14.
-5
What is 2 divided by -742?
-1/371
-460 divided by 1
-460
Divide -1497 by -499.
3
-398 divided by -2
199
Calculate 468 divided by 9.
52
-108 divided by 36
-3
Calculate 0 divided by 56.
0
Divide -17640 by -360.
49
What is 135 divided by -5?
-27
What is 272 divided by -8?
-34
7170 divided by 6
1195
Calculate -2 divided by -356.
1/178
What is -20 divided by -60?
1/3
Divide 13696 by -3424.
-4
63 divided by 9
7
Calculate -1 divided by -1453.
1/1453
-192 divided by -64
3
What is -35450 divided by 7090?
-5
Calculate 143 divided by -3.
-143/3
What is -50 divided by -25?
2
4 divided by 120
1/30
Divide 0 by 812.
0
Divide 389 by -8.
-389/8
-7 divided by -4
7/4
What is 0 divided by 55?
0
Calculate 416 divided by -104.
-4
325 divided by -65
-5
Calculate -448 divided by -7.
64
Calculate -10 divided by 2.
-5
What is 192 divided by -64?
-3
Calculate 4 divided by -121.
-4/121
What is 32 divided by 4?
8
6630 divided by 3315
2
Calculate 258 divided by -23.
-258/23
Calculate -9300 divided by 4.
-2325
-4585 divided by -1
4585
What is -13212 divided by 6?
-2202
What is 9 divided by 1273?
9/1273
-105 divided by -5
21
Calculate -9 divided by 237.
-3/79
What is 8793 divided by 4?
8793/4
Divide -798 by -21.
38
What is 156 divided by 52?
3
Divide 75 by -15.
-5
Calculate 665 divided by 133.
5
Calculate 2 divided by 226.
1/113
-29 divided by 6
-29/6
Divide -109800 by -6.
18300
8465 divided by 1
8465
1 divided by -13
-1/13
What is 389 divided by -2?
-389/2
774 divided by 3
258
What is -1231 divided by -8?
1231/8
What is 666 divided by -18?
-37
What is -23156 divided by 3?
-23156/3
53 divided by -27
-53/27
What is 332 divided by -83?
-4
Calculate 0 divided by 1195.
0
Divide -5 by -1389.
5/1389
What is -32 divided by 28?
-8/7
Divide 2 by 4.
1/2
Calculate 5 divided by -444.
-5/444
Divide 6905 by -6905.
-1
Divide -160 by 3.
-160/3
What is -3576 divided by -1192?
3
Divide 4 by -283.
-4/283
-360 divided by -4
90
Divide 273 by 1.
273
320 divided by -8
-40
Calculate 585 divided by 3.
195
Calculate 196 divided by -28.
-7
What is -2 divided by -1634?
1/817
-898 divided by 2
-449
What is 15 divided by 18?
5/6
Calculate 0 divided by 122.
0
Calculate 2676 divided by -3.
-892
Calculate -38874 divided by -33.
1178
What is -759 divided by -11?
69
Divide 0 by -17.
0
What is 17454 divided by 6?
2909
Divide 11636 by -2909.
-4
Divide -3 by 525.
-1/175
Calculate 5160 divided by -5.
-1032
What is -135 divided by -135?
1
What is 70 divided by 8?
35/4
Calculate -385 divided by -4.
385/4
What is 1120 divided by 16?
70
Calculate 159 divided by -53.
-3
5 divided by 217
5/217
Calculate 8436 divided by 6.
1406
Calculate -289 divided by 1.
-289
Divide 3278 by 298.
11
26 divided by 38
13/19
Calculate -4 divided by 3569.
-4/3569
-136 divided by 17
-8
What is -1280 divided by -32?
40
What is -89 divided by 3?
-89/3
-1764 divided by -5
1764/5
What is -336 divided by 8?
-42
Calculate -77 divided by -11.
7
Calculate -18 divided by -6.
3
Divide -55 by -195.
11/39
Calculate -3282 divided by 3.
-1094
What is -42 divided by 3?
-14
What is -749 divided by -3?
749/3
What is -2732 divided by 4?
-683
Calculate -1 divided by -59.
1/59
457 divided by -3
-457/3
Divide -113 by -30.
113/30
Calculate -648 divided by -1.
648
0 divided by 63
0
Divide 1666 by 833.
2
Calculate 61 divided by -8.
-61/8
Calculate 2 divided by 1513.
2/1513
Calculate -1 divided by 58.
-1/58
988 divided by 13
76
-176 divided by 8
-22
Calculate 0 divided by -75.
0
583 divided by 6
583/6
What is -12 divided by -1?
12
Calculate -275 divided by -5.
55
Divide 210 by 3.
70
200 divided by 40
5
What is -6 divided by 1?
-6
2172 divided by -3
-724
18 divided by 20
9/10
Divide -734 by -13.
734/13
66 divided by -66
-1
Divide 4950 by 990.
5
Calculate 5 divided by 90.
1/18
Divide 40 by 9.
40/9
Calculate 4 divided by -3379.
-4/3379
-624 divided by -6
104
1300 divided by -650
-2
Calculate 20 divided by -9.
-20/9
-11994 divided by 3998
-3
Calculate 390 divided by -6.
-65
Divide 100 by -100.
-1
580 divided by 16
145/4
-875 divided by -5
175
Calculate 0 divided by 176.
0
What is -1008 divided by 168?
-6
13466 divided by -3
-13466/3
What is 3160 divided by 4?
790
-9 divided by 2
-9/2
What is 8 divided by 14?
4/7
What is -22444 divided by -4?
5611
What is 1028 divided by 257?
4
What is 40 divided by 10?
4
-36 divided by 9
-4
What is -261 divided by 9?
-29
Calculate 171 divided by 5.
171/5
Divide -587 by -587.
1
Calculate 3 divided by -120.
-1/40
399 divided by -6
-133/2
Divide 9782 by 73.
134
-982 divided by 491
-2
575 divided by 33
575/33
What is -238 divided by 7?
-34
Divide -150 by -25.
6
2612 divided by -653
-4
What is 3296 divided by 2?
1648
Calculate -57 divided by -19.
3
Calculate 70 divided by -3.
-70/3
What is 146 divided by -4?
-73/2
Calculate -22 divided by 195.
-22/195
Divide -261 by -14.
261/14
What is -2860 divided by 572?
-5
105 divided by 2
105/2
Calculate 45 divided by -34.
-45/34
Calculate -872 divided by -436.
2
2 divided by -98
-1/49
Calculate 212 divided by -106.
-2
What is 1 divided by 6?
1/6
Calculate 2464 divided by -616.
-4
What is -7 divided by -249?
7/249
-1720 divided by 43
-40
Divide 5 by -963.
-5/963
Calculate 696 divided by 2.
348
What is 3 divided by -633?
-1/211
Divide -3192 by -76.
42
Calculate 12 | {
"pile_set_name": "DM Mathematics"
} |
f, 3*f + 5 - 3 = 2*l for l.
-2
Suppose h - 29 = -2*m, -m = -h - 4*m + 32. Suppose -l - 2*l + 30 = 0. Solve -2*g - l = -3*g + 4*i, -4*g - 5*i = h for g.
-2
Suppose -d - 5*k - 2 = 16, -5*k = -4*d + 28. Solve -d*p + 8 = 4*z, 2*z - z = -3*p - 8 for p.
-4
Suppose o = s + 2*o - 8, -3*o = -9. Suppose 0*b + 3*b = 5*j + 47, s*b - 3*j - 73 = 0. Let i = -13 - -18. Solve -i*z = -20, 0 = -d + 4*z - 1 - b for d.
1
Let w = 44 - 40. Solve -5*i + 4*z - 20 = -w*i, -4*i + 15 = 3*z for i.
0
Let r(c) = c**2 - 2*c - 1. Let d be r(2). Let a be 3/(d - 8/(-5)). Suppose -3*b - 2*b = 0. Solve b = 5*y + 3*q - 3 - 2, -4*q - 40 = -a*y for y.
4
Let o(c) = c**3 + 10*c**2 - 2*c - 15. Suppose 3*a + 4*x - 18 = 4*a, 3*a + 2*x + 26 = 0. Let p be o(a). Solve -4*b - p*t = -5, 0 = b + t + 1 - 3 for b.
5
Suppose -9 = -5*c + 1. Solve 4 = c*i - x - 1, 3*i + x = -5 for i.
0
Suppose -s - 2*u + 14 = 0, s - 4*u - 8 = -3*s. Suppose -8 = -a + s. Solve 5*r - 2*c = 14, 6*r = 2*r + 3*c + a for r.
2
Suppose -5*d + c + 34 = 0, d + 5*c - 26 = -2*d. Solve -3*y - 3 = -0*q - 3*q, 5*y + q = d for y.
1
Suppose 0 = -2*d - d + 15. Suppose b - 1 = -2*f + 3, d*f = 4*b - 3. Solve 2*a = b*i + 2, -3*i + 2 = 2*a + i for a.
1
Let k be ((-10)/(-8))/((-3)/(-12)). Let m(d) = -d**2 + 5*d - 3. Let o be m(3). Suppose -o*v + 11 = -2*v. Solve 7*l = k*g + 4*l + v, 27 = -3*g - 5*l for g.
-4
Let f be 4 + ((-40)/15)/((-4)/18). Solve -5*g - f = 5*l + 4, 4*g = 0 for l.
-4
Let x be (12 - (-9 - -4))*1. Solve 3*i = v + x, -5*v + 6 - 47 = -4*i for v.
-5
Let i(k) = k**2 + 4*k - 19. Let w be i(-7). Let s(m) = m**2 + 7*m + 7. Let h be s(-5). Let x = h - -5. Solve 8 = -l - x*f, 2*f + w*f + 20 = -3*l for l.
-4
Let s(w) = -w**2 + 3*w + 4. Let j be s(0). Solve y + 6 = -3*k, -4*y + y + j*k - 5 = 0 for y.
-3
Let n(c) = -c**3 + c. Let a be n(1). Solve 3*f - 3*b - b = -15, a = -5*f + 3*b - 25 for f.
-5
Suppose -3*o = -4*f - 0*o + 33, 4*f + o = 21. Solve y - l = 7, -2*y + 2*l + f = 4*l for y.
5
Let t be 10/15*(-3)/2. Let c be -3 + (-4 + -1)/t. Solve 0*l = l + c*o + 3, 4*o + 15 = -5*l for l.
-3
Let y be (-3 + 4)*(-2 + 6). Solve -4*j = 4*i - 4, 8 - y = -i + 4*j for i.
0
Let i(z) = -z**3 + 2*z**2 + 3*z. Let m be i(-2). Let a = m + -7. Solve -5*j - 24 = -r, -3*r + a*j + 17 = -5*r for r.
-1
Let v be ((-27)/(-6))/((-3)/4). Let a be 2*1 + -2 + -2. Let z = a - v. Solve 0*k - z*l + 4 = -4*k, -2*k + l = -2 for k.
3
Let z be 3/(-4)*(-8)/(-1). Let d = -3 - z. Suppose 15 = 5*t + 5*n, d*t + 0*n = 5*n + 9. Solve -5*m + t = b + 20, 0 = -2*m - 3*b + 1 for m.
-4
Let z(m) = -7*m + 8. Let w(c) = 6*c - 7. Let q(r) = 6*w(r) + 5*z(r). Let u be q(4). Solve -4*g = -u*p + 14, 0 = -0*p - 2*p + 5*g + 16 for p.
3
Suppose 22 = -w + 12*w. Solve -3*q = -d - 2*q + 3, w*d - 1 = q for d.
-2
Let s(g) = -g**2 + 5*g + 4. Let i be s(5). Suppose i*r + r - 15 = 0. Let l be 2/(-5) - (-164)/10. Solve -2*x - l = 4*c, r*c - 3*x + 12 = -7*x for c.
-4
Suppose 0*s = -s. Let f be 1 - 2 - (0 + 1). Let i(b) = -3*b - 2. Let o be i(f). Solve -d + k - 3 - 4 = s, 19 = -d + o*k for d.
-3
Let a = 67 + -47. Let m(i) = -4*i + 82. Let c be m(20). Solve 2*x - x = y, 3*x - a = -c*y for x.
4
Let a(v) = -v**3 + 3*v**2 + 4*v + 5. Let k be 5/((-45)/(-12))*3. Suppose k*w - 16 = -0*w. Let m be a(w). Solve -f - 2 = 0, -m*z = f + 4 + 23 for z.
-5
Suppose -4*f = -7*f, -3*h - 3*f - 12 = 0. Suppose -3*g - 3*q + 29 = -7*q, 0 = 4*q - 4. Let c = g + h. Solve 4*j + 3*y - 5 = 0, -c = 5*y - 22 for j.
-1
Suppose 0 = 2*c + 4*z - 2, -2*z - 13 = -c. Solve -c*j + 2*j - 30 = 5*g, -15 = 2*j + 5*g for j.
-5
Suppose 4*f - 17 = -3*c, f - 2*c = -3*f + 2. Let z = 1 - -2. Suppose -z - 2 = -i. Solve 5 = v, 28 = -f*a - v + i*v for a.
-4
Let l = -3 + 7. Let p = l - -11. Solve -5*y = 5*t + p, -4*y + 2*t = -0*y - 6 for y.
0
Let d = -6 + 11. Let i(x) = 2*x - 11. Let g be i(6). Let c = d - g. Solve 5*s + 18 = t - 7, 0 = -3*s + c*t - 15 for s.
-5
Let k(y) = y + 5. Let m be k(-1). Solve 5*x + 40 = m*z, -5*z = x - 3 - 18 for x.
-4
Let v(t) = -3*t**2 + 0*t + 5*t + 2*t**2 - 4. Let p be v(3). Solve 3*i + 0*i - 5*r - 20 = 0, -p*i + 4 = -r for i.
0
Suppose -2*z + 3*n - 4 = -z, 2*z - 3*n + 2 = 0. Solve -4*f = c + f + 18, f = z*c - 8 for c.
2
Suppose 0 = -5*n + 5*d, d - 8 = -0*n - n. Let y = 21 + -14. Solve -n*q - 28 = -q + 5*t, 2*t + y = 3*q for q.
-1
Let b(u) = -2*u + 8. Let l be b(3). Solve 5*z = 3*c + 4, 2*c + l = -z + 4*z for z.
2
Suppose -3*k - 21 = -5*d, -3*d + 5*k - 2 + 21 = 0. Solve -5*t + 20 = 0, 4*u + 27 = u + d*t for u.
-5
Suppose 4*o = 4*u - 16, 0*u - 10 = -2*u + 4*o. Solve 8 + 9 = 3*a + 5*r, -u*r = -12 for a.
-1
Suppose -3*n + 16 - 1 = 0. Solve 0 = 2*t - t - 5*f + 17, n*t - 3*f - 3 = 0 for t.
3
Suppose 3*v + 244 = -4*j, -3*j + 4*v = -6*j - 183. Let r = j - -94. Solve -q = -4, -2*i + 5*q + 11 - r = 0 for i.
-1
Let r = -3 - -5. Let q be (-1)/(0 - r/8). Solve 3*m = -3*j + 21, m - q*j = -0*j - 13 for m.
3
Let d be ((-39)/13 - (8 - 1))/(-2). Solve 2*m = 8, -6*y + y + d*m = 45 for y.
-5
Let w be (-1)/(1*(2 - 3)). Solve 7*b - 2*b = -3*g + w, 5*g + 25 = 5*b for g.
-3
Let w be -6 - (-1)/(2/4). Let y(i) = i**3 + 4*i**2 - 5*i - 2. Let a be y(w). Solve -l + a = -3*c, -4*c - 28 = c - l for c.
-5
Let n(w) = 3*w**2 - 1. Let z be 42/(-189) + 40/18. Let r be n(z). Suppose 3 = c - 0*c. Solve 5*x = -2*y + 5 - 2, -c*y = x - r for x.
-1
Let t(v) = -3*v - 2. Let x be 5*1/10*-4. Let k be t(x). Suppose -5*g - 5*r = 0, -3*g + 45 = g - 5*r. Solve 0 = k*c - 3*b + 15, -4*b = -c - 3*b - g for c.
0
Suppose -z + 3 = 8. Let q(c) = c**3 + 4*c**2 - 5*c. Let r be q(z). Solve -4*t = t - 15, r = 2*k - 3*t + 9 for k.
0
Let j be 6/2 + (10 - 2). Let b = -8 + j. Suppose -3*a + 3 - 7 = u, -8 = -b*u + a. Solve -4*g + 9 = -5*v, -u*v = 4*g - 2*g + 18 for g.
-4
Suppose 6*o = 2*o + 12. Solve -5 + 4 = z, -5*z - 14 = o*k for k.
-3
Suppose 0 = 2*l - 16 + 6. Suppose 10*s = l*s + 25. Solve w - 30 = s*q, 6 - 1 = 3*q + 4*w for q.
-5
Suppose 25*l = 22*l - 6. Let h(i) = i + 4. Let y be h(l). Let m(j) = -j**2 - 7*j - 4. Let o be m(-6). Solve 0 = -f + 3*a + y + 5, -3 = f + o*a for f.
1
Let c be 2/(-5)*(-18 + 8). Solve 4*w + 8*m - 4*m = -c, 5*w - 2*m - 2 = 0 for w.
0
Let a = -2 + 5. Suppose g - 2*g - 3*k = -14, a*k = 2*g - 1. Suppose 5*l - l = 76. Solve 3*i = -5*h - l, 2*h + g = -3*i - 8 for i.
-3
Let a be (-2)/(-9) + 320/18. Let d = a + -16. Solve 2*n + d*n - v = -11, -n - 11 = -3*v for n.
-2
Let l(v) = 7*v - 4. Let o be l(4). Let d = o + -3. Solve -2*f = r - 7*f - d, 5*f + 25 = 5*r for r.
1
Suppose -4*r - 4*k = -40, -28 = -3*r - k - k. Solve -y = -2*n - r, 2*n + 0*n - 3*y + 16 = 0 for n.
-2
Let d(n) = n. Let v be d(2). Solve -3*i = -c + 6*c - 11, 4*i - v*c = 6 for i.
2
Let u be ((35/2)/7 - 3)*0. Solve 16 + 7 = -5*v - n, -2*v + 2*n - 14 = u for v.
-5
Suppose 10 = 3*y + 2*y. Suppose 0 = -y*f + 5*s + 70, 2*s = f + 6*s - 9. Let w = 2 + 3. Solve -w*a + 3*k = -2*k + f, -5*a - 22 = -2*k for a.
-4
Let s be (-2)/(-6)*(16 - 4). Let t = 95 + -32. Suppose 0 = -2*u - u + t. Solve 4*y + 4*d - 3*d - u = 0, -s*d = -5*y + 21 for y.
5
Let l(y) = -y + 12. Let m be l(7). Suppose 4*b - 20 = -m*i - 0*i, 3*b = 5*i - 20. Solve 5*t - 30 = -5*u, b*u + 4*t + 3 = 5*u for u.
3
Suppose -4 = -3*r - r. Let t be 9*r - (-12 - -9). Solve p = -4*z - 14, 2 + t = 3*p - 2*z for p.
2
Let x = 11 + -10. Let d(p) = p - 1. Let f be d(x). Solve -4*j = h + 17, 5*h - 20 = j - f*h for j.
-5
Let l be (-1)/(((-3)/(-2) - 1)/(-2)). Solve -z + l*h + 6 = 18, -2*z = -4*h + 8 for z.
4
Let k(x) be the first derivative of -x**4/4 - x**2/2 + 1. Let y be k(1). Let b be y/13 + (-12)/(-78). Solve 3*q - 5*q - 3*v + 9 = 0, -5*q - 4*v + 12 = b for q.
0
Suppose -4*a + 2*t = -14, 2*a - 3*a + 5 = t. Suppose -a = 2*s - 4*s. Solve 2*u = 8, -2*z - 2*z + s*u - 8 = 0 for z.
0
Suppose -2*v - 1 = -9. Suppose -v*b + 3 = -13. Suppose -b*s - 6 + 14 = 0. Solve -12 = -2*h - 4*x, 22 = 4*h + h + s*x for h.
4
Suppose -b = b - 2*j - 18, 0 = 3*j + 12. Solve 12 = 3*t + 2*r, -10 - 6 = -4*t - b*r for t.
4
Let d be -2 - (3 - 1 - 6). Suppose -6*w = -d*w - 12. Let n = 8 + -7. Solve r = -n, -7*g + w*g + 4*r - 16 = 0 for g.
-5
Let l(u) = -1 - 2*u + u + 2*u. Let r be l(5). Let j = 2 + 0. Solve 0 = 3*f + j*o - 2, 0 = 2*o + r for f.
2
Let h be 6 + -3 + -5 - (-1 - 4). Solve 0 = -5*t + 2*r + 9 - 0, h*r = -t + 12 for t.
3
Let x(h) = -h - 12. Let c be x(-10). Let d be (-2 - -4) + c | {
"pile_set_name": "DM Mathematics"
} |
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Wha | {
"pile_set_name": "DM Mathematics"
} |
8?
False
Is 522 a factor of 12869535?
False
Does 627 divide 978832?
False
Is 2731436 a multiple of 113?
True
Is 172 a factor of 202392?
False
Is 477126 a multiple of 6?
True
Is 3663914 a multiple of 6?
False
Is 578946 a multiple of 94?
True
Is 104 a factor of 2272088?
True
Is 63 a factor of 114345?
True
Is 339599 a multiple of 214?
False
Does 452 divide 5527056?
True
Is 24 a factor of 381022?
False
Does 221 divide 1885980?
False
Is 5687973 a multiple of 31?
True
Is 959320 a multiple of 29?
True
Is 1465 a factor of 4758320?
True
Is 4282960 a multiple of 124?
True
Is 1403881 a multiple of 97?
True
Is 106 a factor of 3486658?
True
Is 6039358 a multiple of 403?
True
Is 155 a factor of 113150?
True
Does 678 divide 4849056?
True
Is 5394 a multiple of 2?
True
Is 1162899 a multiple of 11?
False
Is 20361024 a multiple of 216?
True
Does 103 divide 15009?
False
Is 132 a factor of 569184?
True
Does 19 divide 461491?
True
Does 126 divide 3697470?
True
Is 10 a factor of 69710?
True
Is 10 a factor of 170908?
False
Does 29 divide 7248956?
True
Is 459 a factor of 107693?
False
Is 35 a factor of 64855?
True
Does 830 divide 6008141?
False
Is 280943 a multiple of 442?
False
Is 42 a factor of 133726?
False
Is 48 a factor of 6059040?
True
Is 36 a factor of 238261?
False
Does 53 divide 145690?
False
Does 20 divide 6000393?
False
Does 101 divide 44986?
False
Does 408 divide 687888?
True
Is 15 a factor of 449598?
False
Is 58397 a multiple of 24?
False
Does 4 divide 31604?
True
Does 267 divide 298239?
True
Is 40320 a multiple of 72?
True
Does 79 divide 31995?
True
Is 735108 a multiple of 70?
False
Is 11440831 a multiple of 251?
True
Does 32 divide 134070?
False
Does 32 divide 592672?
True
Is 274568 a multiple of 18?
False
Is 1309808 a multiple of 16?
True
Does 2 divide 5094176?
True
Is 135024 a multiple of 24?
True
Is 145526 a multiple of 46?
False
Is 42 a factor of 852356?
False
Is 21 a factor of 1749237?
True
Does 4 divide 8450?
False
Is 192 a factor of 21699434?
False
Is 88 a factor of 394152?
True
Is 960815 a multiple of 59?
True
Is 5 a factor of 281320?
True
Is 24 a factor of 3963672?
True
Does 75 divide 1069713?
False
Is 13 a factor of 804622?
True
Does 158 divide 1726782?
True
Is 48 a factor of 6140592?
True
Is 28764 a multiple of 34?
True
Is 15238060 a multiple of 820?
True
Does 7 divide 5431880?
False
Does 79 divide 644324?
True
Does 25 divide 368608?
False
Is 558028 a multiple of 13?
False
Is 20 a factor of 4420?
True
Is 50328 a multiple of 18?
True
Is 488800 a multiple of 50?
True
Does 24 divide 2169564?
False
Is 12 a factor of 10306056?
True
Is 77 a factor of 983867?
False
Is 8 a factor of 9808?
True
Is 16 a factor of 114368?
True
Is 24489 a multiple of 9?
True
Is 941388 a multiple of 68?
False
Is 2117304 a multiple of 168?
True
Does 323 divide 11073532?
False
Is 207512 a multiple of 106?
False
Is 242119 a multiple of 486?
False
Is 28998 a multiple of 294?
False
Does 54 divide 205384?
False
Is 1950584 a multiple of 8?
True
Is 100482 a multiple of 23?
False
Is 8 a factor of 281536?
True
Does 1335 divide 7311432?
False
Does 6 divide 96834?
True
Is 366730 a multiple of 7?
True
Does 86 divide 10974116?
True
Is 64 a factor of 1000463?
False
Is 24 a factor of 483113?
False
Is 49 a factor of 4935770?
True
Does 3 divide 21097?
False
Is 18 a factor of 1290816?
True
Is 1642026 a multiple of 618?
True
Is 141939 a multiple of 27?
True
Does 792 divide 418968?
True
Is 208 a factor of 123760?
True
Is 774402 a multiple of 994?
False
Does 151 divide 167703?
False
Is 14 a factor of 83740?
False
Is 78700 a multiple of 25?
True
Is 4757764 a multiple of 22?
True
Is 2767243 a multiple of 5?
False
Is 125 a factor of 290500?
True
Is 300043 a multiple of 80?
False
Does 105 divide 936180?
True
Is 4 a factor of 351779?
False
Is 933 a factor of 6865947?
True
Is 7739712 a multiple of 216?
True
Is 382486 a multiple of 94?
True
Is 27 a factor of 721991?
False
Does 17 divide 1044684?
True
Does 67 divide 156110?
True
Is 32 a factor of 3840?
True
Is 74050 a multiple of 186?
False
Is 2934360 a multiple of 312?
True
Does 44 divide 11902846?
False
Is 197210 a multiple of 4?
False
Is 2065546 a multiple of 686?
True
Is 3869865 a multiple of 69?
True
Is 2541189 a multiple of 13?
False
Is 3204 a multiple of 12?
True
Is 14784 a multiple of 176?
True
Does 12 divide 113196?
True
Is 897516 a multiple of 214?
True
Does 463 divide 307442?
False
Is 2115 a multiple of 3?
True
Does 3 divide 521212?
False
Is 2900 a multiple of 100?
True
Does 68 divide 2872864?
True
Does 8 divide 19624?
True
Does 24 divide 7572715?
False
Is 284 a factor of 728744?
True
Does 95 divide 1849525?
False
Does 320 divide 9600?
True
Does 42 divide 382861?
False
Is 192234 a multiple of 163?
False
Is 171 a factor of 483717?
False
Does 16 divide 169333?
False
Is 106 a factor of 1757103?
False
Is 54648 a multiple of 18?
True
Does 13 divide 2386756?
False
Is 27 a factor of 22687?
False
Is 77307 a multiple of 219?
True
Is 12922 a multiple of 14?
True
Does 93 divide 326058?
True
Does 17 divide 62730?
True
Is 27 a factor of 452468?
False
Does 11 divide 216557?
True
Does 35 divide 187715?
False
Does 7 divide 210441?
True
Is 49 a factor of 652040?
False
Does 3 divide 259965?
True
Does 2 divide 852956?
True
Is 303221 a multiple of 290?
False
Does 38 divide 1125?
False
Is 374 a factor of 12150?
False
Is 181 a factor of 132487?
False
Does 13 divide 2101073?
True
Is 431413 a multiple of 39?
False
Is 127 a factor of 121412?
True
Is 5 a factor of 764293?
False
Does 26 divide 7430120?
False
Does 29 divide 106558?
False
Does 14 divide 89243?
False
Is 6 a factor of 3830439?
False
Does 519 divide 611382?
True
Is 852 a factor of 3089480?
False
Is 158074 a multiple of 98?
True
Is 9 a factor of 6791?
False
Does 17 divide 225530?
False
Is 69 a factor of 626727?
True
Is 485 a factor of 678515?
True
Is 566 a factor of 6434776?
False
Does 20 divide 2659072?
False
Is 454312 a multiple of 3?
False
Does 65 divide 1018420?
True
Is 9579157 a multiple of 11?
False
Is 98 a factor of 7519870?
False
Does 1508 divide 122148?
True
Is 368782 a multiple of 84?
False
Is 43140 a multiple of 5?
True
Does 94 divide 89582?
True
Is 632800 a multiple of 175?
True
Is 2251279 a multiple of 184?
False
Is 656292 a multiple of 78?
True
Is 65 a factor of 445380?
True
Is 11542176 a multiple of 16?
True
Is 254 a factor of 4515866?
True
Is 208 a factor of 400400?
True
Is 633750 a multiple of 169?
True
Is 1974364 a multiple of 107?
True
Does 55 divide 5003?
False
Does 48 divide 372096?
True
Is 45 a factor of 3082751?
False
Does 130 divide 4125550?
True
Is 21 a factor of 54693?
False
Does 14 divide 8957816?
True
Does 13 divide 2028247?
True
Is 27 a factor of 181390?
False
Does 21 divide 37475?
False
Is 475992 a multiple of 66?
True
Is 68015 a multiple of 56?
False
Is 2768535 a multiple of 15?
True
Is 2 a factor of 2428?
True
Does 7 divide 9212357?
True
Is 9049 even?
False
Is 3 a factor of 3322?
False
Is 14 a factor of 159386?
False
Does 46 divide 146489?
False
Does 453 divide 104081?
False
Does 457 divide 933628?
False
Does 12 divide 4261200?
True
Is 73645 a multiple of 103?
True
Does 601 divide 5399384?
True
Does 124 divide 245768?
True
Does 62 divide 459464?
False
Is 260268 a multiple of 46?
True
Is 80 a factor of 77760?
True
Is 112470 a multiple of 138?
True
Is 114744 a multiple of 34?
False
Does 119 divide 41293?
True
Is 11953 a multiple of 40?
False
Is 9 a factor of 148338?
True
Does 40 divide 6778221?
False
Does 109 divide 283537?
False
Does 220 divide 286287?
False
Is 163792 a multiple of 232?
True
Does 257 divide 5879?
False
Does 61 divide 1305400?
True
Is 4660810 a multiple of 14?
True
Is 25 a factor of 104516?
False
Does 26 divide 88517?
False
Is 5 a factor of 2024018?
False
Is 1547082 a multiple of 18?
True
Is 22923 a multiple of 48?
False
Is 9405 a multiple of 19?
True
Is 84 a factor of 3214658?
False
Does 146 divide 8482016?
True
Does 758 divide 127118?
False
Is 1062259 a multiple of 121?
True
Is 407896 a multiple of 268?
True
Is 373428 a multiple of 11?
True
Does 14 divide 3751356?
True
Is 4062555 a multiple of 16?
False
Is 251233 a multiple of 138?
False
Is 682 a factor of 1185998?
True
Does 4 divide 7434615?
False
Is 2829764 a multiple of 52?
False
Is 72 a factor of 10 | {
"pile_set_name": "DM Mathematics"
} |
ate the greatest common divisor of 80 and 3760.
80
What is the greatest common divisor of 48 and 6216?
24
Calculate the highest common divisor of 152 and 1444.
76
What is the greatest common divisor of 8 and 188?
4
Calculate the greatest common divisor of 336 and 276.
12
What is the greatest common factor of 209 and 19?
19
What is the greatest common factor of 36 and 54?
18
What is the highest common divisor of 42 and 12?
6
What is the highest common factor of 414 and 45?
9
Calculate the greatest common divisor of 30 and 480.
30
Calculate the highest common divisor of 40 and 6328.
8
Calculate the highest common factor of 2368 and 1073.
37
What is the greatest common factor of 70 and 920?
10
Calculate the greatest common factor of 3 and 5007.
3
Calculate the highest common divisor of 530 and 106.
106
Calculate the greatest common divisor of 1365 and 6045.
195
What is the highest common factor of 184 and 598?
46
Calculate the greatest common factor of 24 and 8934.
6
Calculate the highest common divisor of 256 and 3760.
16
What is the highest common factor of 32 and 2680?
8
Calculate the highest common factor of 15067 and 19.
19
Calculate the highest common factor of 7630 and 140.
70
Calculate the highest common factor of 10127 and 13.
13
Calculate the greatest common factor of 1332 and 9.
9
Calculate the greatest common divisor of 267 and 89.
89
What is the highest common factor of 666 and 74?
74
What is the greatest common factor of 21 and 49?
7
Calculate the highest common divisor of 11 and 693.
11
What is the greatest common factor of 308 and 1890?
14
Calculate the highest common factor of 45 and 576.
9
What is the highest common factor of 350 and 1540?
70
What is the highest common factor of 144 and 528?
48
Calculate the greatest common factor of 102 and 1564.
34
What is the greatest common factor of 288 and 270?
18
Calculate the greatest common factor of 4104 and 38.
38
What is the greatest common divisor of 28 and 1358?
14
What is the highest common divisor of 269 and 12?
1
What is the highest common divisor of 1298 and 22?
22
Calculate the highest common divisor of 204 and 2958.
102
Calculate the highest common divisor of 9216 and 144.
144
What is the highest common factor of 52 and 28?
4
Calculate the highest common divisor of 3430 and 70.
70
What is the greatest common divisor of 69 and 299?
23
What is the highest common factor of 126 and 742?
14
Calculate the highest common divisor of 14 and 301.
7
What is the greatest common factor of 531 and 413?
59
What is the highest common factor of 12 and 2058?
6
What is the highest common divisor of 722 and 38?
38
Calculate the highest common divisor of 1862 and 98.
98
Calculate the highest common factor of 3252 and 60.
12
What is the greatest common factor of 312 and 432?
24
Calculate the greatest common divisor of 15 and 9.
3
Calculate the highest common divisor of 2 and 104.
2
What is the highest common factor of 28390 and 167?
167
What is the highest common factor of 98 and 4949?
49
Calculate the greatest common factor of 135 and 1188.
27
What is the greatest common factor of 54 and 864?
54
What is the greatest common factor of 6480 and 32?
16
What is the greatest common divisor of 34 and 4?
2
What is the highest common divisor of 1430 and 1287?
143
What is the highest common divisor of 475 and 665?
95
What is the highest common factor of 40 and 2560?
40
Calculate the highest common factor of 889 and 2540.
127
What is the highest common divisor of 578 and 34?
34
What is the greatest common factor of 100 and 130?
10
Calculate the highest common factor of 1539 and 9.
9
Calculate the greatest common divisor of 19 and 37.
1
What is the greatest common divisor of 21 and 833?
7
What is the highest common factor of 4307 and 236?
59
What is the highest common divisor of 660 and 24090?
330
What is the greatest common divisor of 194 and 2?
2
Calculate the greatest common factor of 82 and 8446.
82
Calculate the highest common factor of 57 and 77.
1
Calculate the greatest common factor of 21 and 25683.
21
Calculate the highest common divisor of 42 and 1386.
42
Calculate the greatest common factor of 7474 and 606.
202
What is the highest common divisor of 32 and 208?
16
What is the highest common factor of 868 and 28?
28
What is the greatest common factor of 671 and 33?
11
What is the greatest common factor of 16 and 108?
4
What is the highest common divisor of 55 and 8195?
55
Calculate the greatest common divisor of 57 and 3363.
57
What is the highest common factor of 3 and 1857?
3
What is the highest common factor of 98 and 28?
14
What is the greatest common factor of 1404 and 243?
27
What is the highest common factor of 338 and 10?
2
What is the greatest common factor of 49 and 686?
49
What is the greatest common divisor of 54 and 14526?
54
What is the greatest common divisor of 76 and 8?
4
What is the greatest common factor of 35 and 35665?
35
Calculate the highest common divisor of 39 and 1183.
13
What is the highest common factor of 1265 and 55?
55
What is the greatest common divisor of 3042 and 962?
26
What is the greatest common factor of 748 and 88?
44
What is the highest common factor of 374 and 66?
22
Calculate the highest common factor of 141 and 987.
141
What is the highest common divisor of 102 and 7?
1
What is the highest common factor of 1403 and 305?
61
What is the greatest common factor of 54 and 216?
54
Calculate the greatest common divisor of 108 and 52.
4
Calculate the greatest common factor of 2 and 54.
2
What is the highest common factor of 6 and 1167?
3
Calculate the highest common divisor of 38 and 380.
38
What is the highest common factor of 218 and 1199?
109
What is the highest common factor of 918 and 54?
54
What is the highest common divisor of 360 and 320?
40
Calculate the highest common divisor of 909 and 18.
9
Calculate the greatest common divisor of 224 and 1600.
32
Calculate the greatest common factor of 28 and 462.
14
Calculate the greatest common divisor of 70 and 2310.
70
What is the greatest common divisor of 4 and 518?
2
Calculate the greatest common divisor of 1180 and 20.
20
Calculate the greatest common divisor of 143 and 13.
13
Calculate the greatest common factor of 81 and 27.
27
What is the highest common factor of 1032 and 168?
24
What is the highest common factor of 153 and 5661?
153
Calculate the greatest common factor of 11 and 3762.
11
Calculate the greatest common divisor of 2 and 262.
2
What is the greatest common divisor of 3773 and 49?
49
What is the highest common divisor of 5 and 11?
1
What is the highest common divisor of 88 and 473?
11
Calculate the greatest common factor of 45 and 495.
45
What is the highest common factor of 29 and 1?
1
Calculate the greatest common divisor of 1300 and 247.
13
What is the highest common divisor of 363 and 165?
33
What is the highest common factor of 54 and 4266?
54
Calculate the greatest common factor of 56 and 294.
14
Calculate the greatest common divisor of 396 and 204.
12
What is the greatest common divisor of 50 and 640?
10
What is the greatest common factor of 950 and 684?
38
What is the highest common divisor of 558 and 434?
62
What is the greatest common divisor of 3266 and 46?
46
Calculate the highest common divisor of 460 and 64.
4
Calculate the highest common divisor of 12766 and 39.
13
What is the highest common divisor of 130 and 21580?
130
What is the highest common divisor of 200 and 488?
8
Calculate the greatest common factor of 640 and 20.
20
Calculate the greatest common factor of 126 and 798.
42
What is the highest common factor of 2629 and 220?
11
Calculate the greatest common factor of 273 and 28.
7
What is the greatest common divisor of 255 and 345?
15
Calculate the highest common factor of 288 and 352.
32
What is the highest common divisor of 900 and 31275?
225
What is the greatest common divisor of 105 and 168?
21
What is the highest common divisor of 56 and 196?
28
What is the greatest common divisor of 14986 and 2032?
254
What is the highest common factor of 175 and 2415?
35
What is the greatest common factor of 1344 and 84?
84
What is the highest common divisor of 7059 and 39?
39
What is the highest common factor of 570 and 2090?
190
What is the greatest common divisor of 192 and 72 | {
"pile_set_name": "DM Mathematics"
} |
(-75)). Suppose -50 + a = 4*p. Determine f(p).
-5
Let q(y) = y**2 - 3*y - 9. Let t be q(5). Let g(p) = -5*p**2 + p - 11. Let m(l) = -l**2 - l - 1. Let z(b) = t*g(b) - 6*m(b). Calculate z(-6).
-11
Let k(x) = -x**3 + 8*x**2 + x - 4. Let j(p) be the second derivative of p**5/10 - 3*p**4/4 - p**3/3 + 2*p**2 + 6*p. Let u(d) = 2*j(d) + 3*k(d). Give u(-6).
2
Let z(m) be the first derivative of 5*m**3/6 - m**2 - 55*m + 24. Let h(o) be the first derivative of z(o). Determine h(2).
8
Let j = 261 - 253. Let k(r) = -r**3 + 9*r**2 - 8*r. Determine k(j).
0
Suppose -3*x + 7*x - 8 = 0. Suppose -y - 3*q = -10, y - q = 2*q - x. Let o(t) be the first derivative of t**4/4 - 5*t**3/3 + 2*t**2 - 6*t - 13. Calculate o(y).
-6
Let c(o) = -o**3 - o - 1. Let b(r) = -4*r**3 + 6*r**2 - r - 7. Let a(p) = -b(p) + 5*c(p). Suppose m - 7 = 4*y, -128 = 2*y - 122. Calculate a(m).
-3
Let n(u) = -7*u**2 - 12*u + 14. Let c(y) = 9*y**2 + 13*y - 14. Let v(k) = 3*c(k) + 4*n(k). Give v(-10).
4
Let i = -8 + -6. Let f(a) = 2*a + 19. What is f(i)?
-9
Let b(h) = 121*h - 39*h - 41*h - 40*h. Let i(d) = -23*d**3 - d**2 - d. Let k be i(-1). Suppose 5*c = s - k, 2*s = -2 + 8. Give b(c).
-4
Suppose 4*b + 3*c - 10 = 0, 7*b + c - 14 = 3*b. Suppose -2*g = b*y + 12, -3*y - 11 = -5. Let l(p) = -2*p**3 + 0*p**3 + 4*p - 4*p**2 - 8*p - 2. Determine l(g).
6
Let f be 58/4 - (-2)/(-4). Let y = 18 - f. Suppose l + 20 = -3*l, -2*k - y*l - 18 = 0. Let w(o) = -8*o + 1. Calculate w(k).
-7
Let h(j) be the first derivative of -5*j**2/2 + 23*j - 129. Give h(7).
-12
Suppose -c + 8 = c. Let r(o) = 4*o - 3 + 1 - 3. Give r(c).
11
Suppose -23 - 7 = -5*v. Let u(t) = t**3 - 5*t**2 + 4*t + 2. Let h(b) = b**2 - b + 1. Let x(g) = -2*h(g) + u(g). Give x(v).
0
Let y(k) = k**3 - k. Let z(j) = 4*j**3 - 6*j - 4. Let q(o) = 3*y(o) - z(o). Let c = 24 + 24. Let g = 51 - c. Give q(g).
-14
Let j(h) = h - 1. Let c = 98 + -3. Suppose -c*x + 94*x = 0. Give j(x).
-1
Let k be 4/(-8)*-4*1. Suppose -3*u = -u + 5*w + 32, k*u - w = -8. Let j be ((-9)/u + 0)*-2. Let y(r) = -r**2 + 1. Determine y(j).
-8
Suppose -40 = -3*c - 5*c. Let p(f) = f - 1. Calculate p(c).
4
Let y(a) be the first derivative of a**6/120 + a**5/10 + a**4/24 + 2*a**3/3 - 11*a**2/2 - 8. Let s(n) be the second derivative of y(n). Give s(-6).
-2
Let g(w) = w**3 - 2*w**2 + 3*w - 19. Let r(i) = -4*i**3 + 9*i**2 - 14*i + 76. Let u(h) = -9*g(h) - 2*r(h). Calculate u(0).
19
Let v(f) = -66*f - 74. Let w(h) = 11*h + 12. Let t(k) = -2*v(k) - 13*w(k). What is t(-2)?
14
Let v(z) = -z**3 + 3*z**2 - z + 1. Let l be v(2). Let s(j) = l + 10*j + 7*j**2 + 0 - 5*j**2 - 2*j. What is s(-5)?
13
Let z(d) = -3*d - 2. Suppose -4 - 3 = 7*b. Let u be (-15)/(-6)*b*(-3 + 1). Give z(u).
-17
Let p = -68 + 101. Suppose 2*n + 15 = 2*v + 3*n, 5*v = 2*n + p. Let l(a) = a - 2. Give l(v).
5
Let o be (-72)/(-27)*(-3)/2 + 8. Let b(r) = r**2 - 3*r + 4. What is b(o)?
8
Let m(z) = 0 - 20*z + 27*z - 11*z - 7. Calculate m(-5).
13
Let d(z) = -3*z - 4. Suppose 5*i - 37 + 7 = -4*l, 6 = i - 5*l. Suppose -2*u + i = 2*a, -5*u = -0*a + a - 23. What is d(u)?
-19
Let d(z) = 7*z - 1. Let u be 15/(-50)*-2 - (-39)/(-15). What is d(u)?
-15
Let v = -28 + 39. Let m(t) = 1 + 3*t - 5*t + v*t**2 - 12*t**2 + 6*t. Give m(3).
4
Let w(g) = 2*g**2 + g**3 + 4*g**2 + 8 - 13*g + 2*g**2 - 15 + 13. Give w(-10).
-64
Let n(d) = -2*d**2 - 3*d - 2. Let v(g) = -2*g - 8. Suppose 100 = 2*k + 106. Let a be v(k). What is n(a)?
-4
Let c(d) = 6*d**3 - 12*d**2 - 11*d - 11. Let o(x) = -5*x**3 + 11*x**2 + 10*x + 10. Let m(j) = -6*c(j) - 7*o(j). Calculate m(-3).
-10
Let m(n) = 3*n**3 - n**2 - n. Let l(q) = q - 16. Let j be (-21)/(-28) + 114/8. Let z be l(j). Determine m(z).
-3
Let p(k) be the second derivative of k**3 - k + 75. Calculate p(-10).
-60
Suppose -x + 9 = 2*u, 5*u + 4*x = 3*u + 6. Suppose u*l = -4*l. Let m(o) be the third derivative of o**4/24 + o**3/2 - o**2. Give m(l).
3
Suppose -5*c = 4*s - 7, 2*c - 5 + 7 = 0. Let l(v) be the third derivative of 0*v**s + 1/12*v**4 - 3*v**2 + 0*v + 0. What is l(-6)?
-12
Let v(z) be the third derivative of -z**5/60 - z**4/8 - z**3/2 - 34*z**2. Let d(l) = 2*l - 36. Let f be d(15). Calculate v(f).
-21
Suppose -5*d + 45 - 73 = j, 3*j + 19 = -2*d. Let v(t) = -2*t**2 + t + 2. Let b(y) = -2*y**2 + 2. Let k(u) = 4*b(u) - 3*v(u). What is k(j)?
-7
Let y(g) be the third derivative of g**6/144 + g**5/120 + 5*g**4/12 + g**2. Let h(r) be the second derivative of y(r). Give h(-2).
-9
Let g(z) be the third derivative of -z**5/60 - 23*z**4/24 - 21*z**3/2 + 335*z**2. What is g(-20)?
-3
Let s(i) = -i**2 - 9*i - 10. Suppose 0 = 6*b - 7 + 55. Give s(b).
-2
Let x(r) = 42*r - 1 + 1 - 40*r. Suppose -7*w = -16*w - 27. What is x(w)?
-6
Let t = -5 - -3. Let p(h) = 9*h. Let j(v) = 17*v. Let q(n) = 4*j(n) - 7*p(n). Let k(z) = 9*z - 1. Let m(a) = 3*k(a) - 7*q(a). Give m(t).
13
Let z(c) = -c**2 + 8*c - 11. Let y be 16 + (-6 - -7 - 9). Give z(y).
-11
Let o = 28 - 31. Let z(i) = -i - 4. Let n be z(-8). Let t(u) = 7*u**2 - 6*u - 1. Let c(x) = 8*x**2 - 5*x - 1. Let y(g) = n*c(g) + o*t(g). Determine y(-1).
12
Let a(o) be the second derivative of o**3/6 - 11*o**2/2 + o. Let g = 4080 - 4075. Give a(g).
-6
Let d(m) = -3*m**2 - 2*m + 2. Let c be d(-2). Let r(g) = -g**2 - 3*g + 1. Let l be r(-5). Let s = c - l. Let k(y) = y**3 - 4*y**2 + 2. Give k(s).
-7
Suppose 8*j - 10*j = 6. Let b be 4/(-14)*(j + -4). Let z(a) = 1 - 5*a**2 - 30*a + b*a**2 + 32*a. Determine z(2).
-7
Let g(z) = z**2 + 8*z + 1. Let k(d) = -3*d**2 - 17*d - 1. Let j(f) = f**3 + 6*f**2 - 16*f - 2. Let h be j(-8). Let c(r) = h*k(r) - 5*g(r). Determine c(6).
-3
Let y = 12 + -15. Let u(b) = b**2 - 4. What is u(y)?
5
Suppose 2*t + 496 = -29*t. Let u(a) = a**3 + 17*a**2 + 18*a + 12. Calculate u(t).
-20
Suppose -2*t - v = 12 - 3, -5*t = -5*v + 30. Let p(d) = -d**2 - 5*d - 7. Determine p(t).
-7
Suppose -5*h - 3*r + 95 = 0, 2*r - 20 = -3*h + 37. Let b = -21 + h. Let n(u) = 2*u + 8. Let q(o) = -1. Let y(t) = -n(t) - 10*q(t). Determine y(b).
6
Let p = 638 - 651. Let k(i) = i**2 + 11*i - 23. Determine k(p).
3
Let d(r) = -r**3 + 8*r**2 - 6*r - 6. Suppose 303 - 7 = -4*f. Let u = -67 - f. Calculate d(u).
1
Let a(r) be the third derivative of -r**4/6 - r**3/6 + r**2. Let h be 9 - (-2 - 0)*-4. Determine a(h).
-5
Let v(a) = 3 + 3*a - a**2 - 8*a**3 + 9*a**3 + 4*a**2. Calculate v(-3).
-6
Suppose 6*y - 10 = y. Suppose y*z = 5*t + 97, 0 = 5*t - 4*z - 48 + 137. Let b = 19 + t. Let o(n) = n**2 - 2*n - 3. Give o(b).
5
Let g(w) = -10*w + 3. Let o be (-9 + (-352)/(-40))*-5. Determine g(o).
-7
Suppose 11 = 2*b + 9. Let w(y) = -6*y + 1. Determine w(b).
-5
Let j(t) = -2*t**2 - 2 + 2*t**2 + t**2 - 5*t. Let l be ((-32)/12)/(56/(-84)). Give j(l).
-6
Let w be (186/217)/(1/(28/1)). Let j = -13 + 31. Let n = j - w. Let t(f) = -f - 5. What is t(n)?
1
Let n be (-15)/12 - 1/(-4). Let t(d) be the second derivative of 1/4*d**5 + 1/6*d**3 + 2*d + 0*d**4 + 1/2*d**2 + 0. Give t(n).
-5
Let b(u) = -u**2 + u - 11. Let y(k) = 7*k**3 + 2*k. Let m be y(2). Suppose -5*s = -2*s - m. Suppose 4*p - 16 = -4*c, 10*c - 5*c = -4*p + s. Calculate b(p).
-11
Let z(c) = 3*c - 5. Let q(j) = -j + 1. Let m = 17 + -11. Let r(s) = m*q(s) + z(s). Let x(b) = -b**2 + 8*b - 4. Let k be x(7). Calculate r(k).
-8
Let d(s) = -s - 1 + 3 - 6. Suppose -1 - 20 = -7*i. Suppose -5 - 3 = -2*y, m + 9 = i*y. What is d(m)?
-7
Suppose 5*t = 2*d - 430, d - 2*d - 4*t = -241. Let p be (-6)/8 + d/60. Let b(y) = -3*y - p + y + 9 - 2. Give b(6).
-8
Let i be (-112)/(-63) - (-1 - (-28)/36). Let w(v) = v**2 - 2*v + 2. Calculate w(i).
2
Let b(t) = 2*t**2 - 3*t + 2. Suppose -5*u - h - 102 = 0, 2*u = 3*u - 3*h + 30. Let d(n) = -n**3 - 6*n**2 + n - 13. Let a be d(-6). Let o = a - u. What is b(o)?
4
Let f(h) be the first derivative of 5*h**3/3 + 4*h**2 - h + 37. Let u(s) = -11*s**2 - 17*s + 3. Let l(g) = 13*f(g) + 6*u(g). What is l(4)?
-3
Let a(t) = 0*t - 6*t - 2*t + t + 3. Let m(l) = l**3 + l + 3. Let v be m(0). Give a(v).
-18
Let s(i) = -5*i + 17. Let v be s(2). Let t(o) = o**2 - 5*o - 3. Determine t(v).
11
Let y(p) = 10*p**2 + 3*p + 7. Let z be y(-2). Let v = z - 35. Let w(q) = q**2 - 6*q + 9. Give w(v).
9
Let u(w) = -67*w - 2*w**3 - 1 - 2 + 70*w + 4*w**2. Let k(p) = -3*p**3 + 3*p**2 + 2*p - 2. Let j = 0 + -3. Let x(y) = j*k(y) + 4*u(y). Give x(-6).
-6
Let c = 5 - -1. Let y be (-1 | {
"pile_set_name": "DM Mathematics"
} |
s in 9*a**3 - 122*a + 122*a.
9*a**3
Collect the terms in -3296*h**2 - 986*h**2 + 949*h**2.
-3333*h**2
Collect the terms in -332 + 332 - 8*u**2.
-8*u**2
Collect the terms in -1394*d**3 + 0 + 0 + 1309*d**3.
-85*d**3
Collect the terms in -5*o + 3*o - 2*o.
-4*o
Collect the terms in -26610274*z**2 + 26610274*z**2 - 3*z**3.
-3*z**3
Collect the terms in 42*u**2 + 55*u**2 - 87*u**2.
10*u**2
Collect the terms in -61*y**2 - 4 + 39*y**2 + 4.
-22*y**2
Collect the terms in 13 - 5 - 8 - 7*k.
-7*k
Collect the terms in -5*s**2 - 2*s**2 + 5*s**2.
-2*s**2
Collect the terms in 13*a + a**2 - 10*a - 3*a.
a**2
Collect the terms in -19 + 3*w - 7*w + 0 + 6*w.
2*w - 19
Collect the terms in -100 - 108 + 208 + 23*g**3.
23*g**3
Collect the terms in -1496*t**2 + 752*t**2 + 748*t**2.
4*t**2
Collect the terms in 4*t + 6*t + 78*t.
88*t
Collect the terms in -125*c**3 + 115*c**3 - 7 + 2.
-10*c**3 - 5
Collect the terms in -22*q**2 - 37*q**2 - q + 71*q**2.
12*q**2 - q
Collect the terms in -100*a**2 - 92*a**2 + 196*a**2.
4*a**2
Collect the terms in 32 - 19 - 7*m - 11 - 2.
-7*m
Collect the terms in 66 + 75 + 6*p - 142 + 3*p.
9*p - 1
Collect the terms in 2713 - 5*p + 10*p - 7*p - 2713.
-2*p
Collect the terms in -565*w + 565*w - 6*w**2.
-6*w**2
Collect the terms in 156*h**3 + 9*h**2 - 9*h**2.
156*h**3
Collect the terms in 181*i - 546*i + 188*i + 176*i.
-i
Collect the terms in -2661 - 2646 + 2*i - 2663 + 7970.
2*i
Collect the terms in 43*u**3 - 97*u**3 + 58*u**3.
4*u**3
Collect the terms in -r - 2*r + 37 - 2*r.
-5*r + 37
Collect the terms in 3*n**2 + 6*n**2 - 9*n**2 - 2*n**3.
-2*n**3
Collect the terms in -2*m**2 + 0*m**2 + 3*m**2 + 0*m**2.
m**2
Collect the terms in -289 + 289 + y**2.
y**2
Collect the terms in 21*v**2 + 19*v**2 - 57*v**2 + 18*v**2.
v**2
Collect the terms in 7*s**2 + 22*s**3 - 7*s**2 - 24*s**3 + 0*s**2.
-2*s**3
Collect the terms in 6 - w**2 + 2*w**2 - 1.
w**2 + 5
Collect the terms in 41*j - 74*j - 51*j.
-84*j
Collect the terms in 6 - 1 + 0 - 5 + 5*n.
5*n
Collect the terms in 6*c**2 - 11*c**2 - 2*c**2 + 5*c**2.
-2*c**2
Collect the terms in -4*s + 6*s + 7*s - 3*s.
6*s
Collect the terms in 31 + 6*r - 13 - 12 - 6.
6*r
Collect the terms in 13*r**2 - 4*r**2 - 13*r**2.
-4*r**2
Collect the terms in -13*x + 9*x + 3*x.
-x
Collect the terms in -19 + 5*m**3 + 19.
5*m**3
Collect the terms in -5 - 7*d + 2 + 2.
-7*d - 1
Collect the terms in 10*r**3 - r**3 + 492 - 492 - r**3.
8*r**3
Collect the terms in -6*i + 9*i + 2*i + 2*i.
7*i
Collect the terms in -2*v**2 - 75*v**3 + 2*v**2 + 2*v**2.
-75*v**3 + 2*v**2
Collect the terms in -s + 5*s + 6 - 6.
4*s
Collect the terms in -34835 + 2*b**2 + 34835 - b**2.
b**2
Collect the terms in 1058*q - 532*q - 530*q.
-4*q
Collect the terms in 675*u - 336*u - 342*u.
-3*u
Collect the terms in -12 + 18*j + 12.
18*j
Collect the terms in 1 + 679*n**3 - 677*n**3 - 1.
2*n**3
Collect the terms in -79*c**2 - 71*c**2 + 159*c**2.
9*c**2
Collect the terms in -58*l**3 + 20*l**3 + 37*l**3.
-l**3
Collect the terms in 29 - 11*a**2 + 34*a**2 + 33 - 62.
23*a**2
Collect the terms in -16 - 7 + 29 - 7 - s.
-s - 1
Collect the terms in 141*t**3 + 4 - 78*t**3 - 69*t**3 - 4.
-6*t**3
Collect the terms in -5*t**3 + 3*t**3 - 17*t**3.
-19*t**3
Collect the terms in 7*n - n + 54 - 2*n - 5*n.
-n + 54
Collect the terms in -589 + 2*s + 589.
2*s
Collect the terms in 7*z**3 + 19*z**3 + 17*z**3 - 37*z**3.
6*z**3
Collect the terms in -257*a**3 + 3 + 127*a**3 + 134*a**3 - 1 + 2.
4*a**3 + 4
Collect the terms in 0*w**2 - 3*w**2 + 6*w**2.
3*w**2
Collect the terms in -4*y**2 - 11*y**2 - 9*y**2 + 25*y**2.
y**2
Collect the terms in 12*j**2 + 2*j**2 + 7*j**2 + 13*j**2.
34*j**2
Collect the terms in -2*p**2 + 1323*p - 1323*p.
-2*p**2
Collect the terms in -39*k**2 - 86*k**2 - 48*k**2.
-173*k**2
Collect the terms in -1300*a + 2607*a - 1295*a.
12*a
Collect the terms in 9*m + 7 - 7 - 4*m.
5*m
Collect the terms in -c**2 + 362*c + 302*c - 664*c.
-c**2
Collect the terms in 25*m**3 + 22*m**3 - 40*m**3.
7*m**3
Collect the terms in -3*r**2 + 0*r**2 - 5*r**2.
-8*r**2
Collect the terms in 497*g - 16*g**2 - 497*g.
-16*g**2
Collect the terms in -752*d - 5*d**2 + 752*d.
-5*d**2
Collect the terms in -6*c + 10*c - 13*c.
-9*c
Collect the terms in 7*y + 0*y + 10*y**2 - 7*y.
10*y**2
Collect the terms in 4*q**2 + 2*q**2 + q**2 + 5*q**2 - 10*q**2.
2*q**2
Collect the terms in -25*s**2 + 4*s**3 - 2*s**3 - 2*s**3 + 2*s**3.
2*s**3 - 25*s**2
Collect the terms in 27*h - 5*h**2 - 14*h - 15*h.
-5*h**2 - 2*h
Collect the terms in 2*a + 7 - 17 - 3*a + 10.
-a
Collect the terms in 6*u**2 - 18*u**2 + 4*u**2 + 6*u**2.
-2*u**2
Collect the terms in -3 + 4 - 1 - 15*n**3.
-15*n**3
Collect the terms in -d + 2*d - 5*d.
-4*d
Collect the terms in 385*p**3 - 183*p**3 - 192*p**3.
10*p**3
Collect the terms in -4282*d + 4283*d - 3484 + 3484.
d
Collect the terms in s**3 + 18*s**3 - 8*s**3.
11*s**3
Collect the terms in -n**2 - 159*n**3 + 465*n**3 + 169*n**3.
475*n**3 - n**2
Collect the terms in -224*s + 70*s - 129*s.
-283*s
Collect the terms in 1 + 5*w**2 + 7 - 8.
5*w**2
Collect the terms in 474*d**3 - 942*d**3 - 4 + 4 + 469*d**3.
d**3
Collect the terms in 10*x**2 + 4*x**2 + 25*x**2 - 3*x**2.
36*x**2
Collect the terms in 12*z + 15 - 15.
12*z
Collect the terms in 64485*v**2 - 64485*v**2 - 3*v**3.
-3*v**3
Collect the terms in 19*j - 8 - 39*j + 8.
-20*j
Collect the terms in -3*q**2 + 6*q**2 - 12*q**2.
-9*q**2
Collect the terms in 4861*o**3 - 4860*o**3 + 0*o**2 + 0*o**2.
o**3
Collect the terms in -9*x**3 - 40*x**3 - 122*x**3.
-171*x**3
Collect the terms in -6*u**2 + 2*u - 40 - 4 - 4*u.
-6*u**2 - 2*u - 44
Collect the terms in -2*i**3 + 51*i - 102*i + 51*i.
-2*i**3
Collect the terms in -3793*a + 3793*a - 50*a**3.
-50*a**3
Collect the terms in 3*x**2 - 1044 + 2080 - 1036.
3*x**2
Collect the terms in -3*n**2 + 12*n**3 - 3*n**2 + 6*n**2.
12*n**3
Collect the terms in 381*m**3 - 194*m**3 - 189*m**3.
-2*m**3
Collect the terms in -230 - 32*g**2 - g**3 + 230.
-g**3 - 32*g**2
Collect the terms in 496*v**2 + v + 90*v**2 - 2*v.
586*v**2 - v
Collect the terms in 17*p**2 + 13*p**2 - 4*p**3 + 16*p**2 - 46*p**2.
-4*p**3
Collect the terms in 89 + 2*j - 89.
2*j
Collect the terms in 7*d**2 - 21*d**2 + 14*d**2 + 2*d**3.
2*d**3
Collect the terms in -36*s + 3*s**3 - 22*s + 81*s - 23*s.
3*s**3
Collect the terms in -4*s**3 - 616 + 616.
-4*s**3
Collect the terms in -4 + 4 - 80*d + 397*d.
317*d
Collect the terms in -m**3 + 4*m**3 + 8*m**3 - 5*m**3.
6*m**3
Collect the terms in 1124 - 1124 - 2*n**3.
-2*n**3
Collect the terms in -3*k**2 + 10*k**2 - 3*k**2.
4*k**2
Collect the terms in 395 - h**3 + 2*h**3 - 198 - 197.
h**3
Collect the terms in -5*d**2 + 11*d**2 - 5*d**2 + 0*d**2.
d**2
Collect the terms in 49*m**3 - 41*m**3 - 10*m**3.
-2*m**3
Collect the terms in o**3 + o - 67*o**2 - o + 0*o.
o**3 - 67*o**2
Collect the terms in -2212*s**2 + 2212*s**2 + 12*s**3.
12*s**3
Collect the terms in 208*y**2 + 0 - 416*y**2 + 207*y**2 + 0.
-y**2
Collect the terms in -26*f**2 - 23*f**2 - 21*f**2 + 69*f**2.
-f**2
Collect the terms in -12*c - 34*c + 17*c.
-29*c
Collect the terms in 3*l**2 - 3*l**2 - 400*l**3 - 16*l + 402*l**3.
2*l**3 - 16*l
Collect the terms in 1056*c**3 + 4*c - 4*c - 51*c**3.
1005*c**3
Collect the terms in 2*a**2 - a**2 + 2*a**2 + a**2.
4*a**2
Collect the terms in -15*w**3 + 4*w**3 + 0 + 0.
-11*w**3
Collect the terms in -10*u**3 - 8*u**3 + 21*u**3.
3*u**3
Collect the terms in 26*x - 28*x - 15*x - 5.
-17*x - 5
Collect the terms in 3*v**3 - v**3 + 18076*v**2 - 18076*v**2.
2*v**3
Collect the terms in 10*m**3 - 9*m - 13*m + 2*m**3 + 22*m.
12*m**3
Collect the terms in -8 - 9 + 28 + 5*w**3 - 11.
5*w**3
Collect the terms in -2*h**3 - 11*h**3 - 2*h**3 + h**3.
-14*h**3
Collect the terms in 69 - 69 + 12*s**2.
12*s**2
Collect the terms in -18*n**3 - 24*n**3 - 26*n**3 + 9*n**3.
-59*n**3
Collect the terms in 44*d - 29*d - 5*d.
10*d
Collect the terms in -2*b + 72*b**2 - 8*b**2 + 2*b.
64*b**2
Collect the terms in 472 + r**3 - 228 - 244.
r**3
Collect the terms in n**2 + 3*n**2 - 6*n**3 - 28*n**2.
-6*n**3 - 24*n**2
Collect the terms in 0 - 34*k + 40*k - 1 - 18*k.
-12*k - 1
Collect the terms in -219*b**2 + 25*b**2 + 30*b**2 - 74*b**2.
-238*b**2
Collect the terms in -1116*f**3 + 372*f**3 + 371*f**3 + 374*f**3.
f**3
Collect the terms in -8*t**2 + 189*t**3 + 8*t**2.
189*t**3
Collect the terms in -5 | {
"pile_set_name": "DM Mathematics"
} |
ee letters picked without replacement from {q: 7, y: 6, m: 1, t: 3}.
7/1360
What is prob of sequence xc when two letters picked without replacement from {e: 10, c: 2, x: 3}?
1/35
Three letters picked without replacement from ywhhuujuujuju. What is prob of sequence huu?
5/143
Calculate prob of sequence bwgb when four letters picked without replacement from gbwwwbzbwbbbbbbbzkb.
55/11628
Calculate prob of sequence xs when two letters picked without replacement from {u: 1, c: 1, x: 2, y: 2, s: 2, m: 4}.
1/33
What is prob of sequence sl when two letters picked without replacement from {b: 2, s: 1, l: 6, f: 2, r: 4}?
1/35
Calculate prob of sequence vt when two letters picked without replacement from qqoqmtqqtwqqqvqtoqq.
1/114
Three letters picked without replacement from staaasaatasaattss. What is prob of sequence sas?
2/51
Three letters picked without replacement from {s: 1, q: 1, r: 1, v: 1, x: 2, c: 1}. Give prob of sequence xxr.
1/105
What is prob of sequence lrxr when four letters picked without replacement from {r: 8, x: 4, l: 1}?
28/2145
Three letters picked without replacement from {q: 1, l: 1, z: 4, f: 2, e: 1, g: 3}. What is prob of sequence qel?
1/1320
Two letters picked without replacement from {g: 11, k: 5}. Give prob of sequence gk.
11/48
Four letters picked without replacement from nnnnoonooonon. Give prob of sequence onoo.
7/143
Three letters picked without replacement from {n: 5, m: 1, b: 2, d: 4, z: 4}. What is prob of sequence bnd?
1/84
Two letters picked without replacement from {m: 7, s: 1}. What is prob of sequence sm?
1/8
Calculate prob of sequence lh when two letters picked without replacement from vhhmhvlvvvvv.
1/44
Three letters picked without replacement from {q: 1, n: 1, i: 2, v: 2, j: 2}. Give prob of sequence ijj.
1/84
Calculate prob of sequence nnun when four letters picked without replacement from {s: 1, k: 3, n: 6, r: 2, u: 1}.
1/143
Four letters picked without replacement from {s: 1, c: 1, y: 1, n: 1, o: 1}. Give prob of sequence ycsn.
1/120
Calculate prob of sequence rz when two letters picked without replacement from rrollazrrrzrl.
1/13
Calculate prob of sequence mzwv when four letters picked without replacement from sszmvwd.
1/840
What is prob of sequence td when two letters picked without replacement from tyyjd?
1/20
Four letters picked without replacement from kqdjyqqqkqqkq. What is prob of sequence jkkd?
1/2860
Four letters picked without replacement from {n: 4, z: 2, m: 1, s: 3}. What is prob of sequence mzzs?
1/840
Two letters picked without replacement from {a: 1, m: 3, n: 5}. Give prob of sequence aa.
0
What is prob of sequence jgg when three letters picked without replacement from xxaadjxggax?
1/495
Calculate prob of sequence uyy when three letters picked without replacement from yyuyyyyuyyu.
28/165
Two letters picked without replacement from {c: 14, f: 4}. Give prob of sequence cf.
28/153
Two letters picked without replacement from {u: 2, c: 3, g: 5, z: 3, i: 7}. What is prob of sequence ug?
1/38
Two letters picked without replacement from {u: 3, b: 3, j: 5, q: 1}. Give prob of sequence ub.
3/44
Two letters picked without replacement from {c: 1, r: 3, u: 2, h: 7, a: 3, y: 1}. Give prob of sequence ay.
3/272
What is prob of sequence kkc when three letters picked without replacement from pscokskp?
1/168
Four letters picked without replacement from {k: 8, s: 5, n: 1, g: 5}. What is prob of sequence sksn?
5/2907
Calculate prob of sequence tmm when three letters picked without replacement from {t: 2, m: 2}.
1/6
Two letters picked without replacement from rsuununnstnutt. What is prob of sequence ns?
4/91
Calculate prob of sequence nnn when three letters picked without replacement from nannna.
1/5
What is prob of sequence oo when two letters picked without replacement from {w: 15, o: 4}?
2/57
Four letters picked without replacement from xxpyaur. Give prob of sequence yaux.
1/420
Two letters picked without replacement from {p: 1, j: 2}. Give prob of sequence jp.
1/3
What is prob of sequence wwwd when four letters picked without replacement from wwwwwwdd?
1/7
Four letters picked without replacement from {n: 5, z: 3, a: 1, r: 1}. What is prob of sequence rann?
1/252
What is prob of sequence yef when three letters picked without replacement from {f: 2, e: 1, w: 3, y: 1, s: 1, r: 3}?
1/495
What is prob of sequence wpp when three letters picked without replacement from wwjnjpgpz?
1/126
What is prob of sequence ffjh when four letters picked without replacement from hfghfjffyyy?
1/330
What is prob of sequence shw when three letters picked without replacement from {l: 1, u: 1, h: 2, s: 2, y: 1, w: 1}?
1/84
Four letters picked without replacement from {q: 1, t: 2, g: 4, v: 3, z: 2}. Give prob of sequence zqzg.
1/1485
Calculate prob of sequence nb when two letters picked without replacement from bwxnixnbwbaxxwi.
1/35
Four letters picked without replacement from {d: 1, q: 7, w: 2, v: 4, p: 1, s: 3}. What is prob of sequence dqpd?
0
Two letters picked without replacement from {a: 5, s: 2, t: 2, e: 4}. Give prob of sequence ea.
5/39
Three letters picked without replacement from bmwbbwwcccmcwccmb. What is prob of sequence mwm?
1/170
Calculate prob of sequence oquu when four letters picked without replacement from {q: 3, u: 3, y: 6, o: 3}.
3/1820
What is prob of sequence ffyy when four letters picked without replacement from {y: 13, f: 3}?
3/140
Four letters picked without replacement from {p: 7, u: 1, b: 1, t: 1, d: 5}. Give prob of sequence tbdu.
1/6552
What is prob of sequence fii when three letters picked without replacement from {i: 2, f: 16}?
1/153
Calculate prob of sequence cyyy when four letters picked without replacement from {y: 18, c: 2}.
8/95
Two letters picked without replacement from {k: 8, u: 2, z: 7, o: 3}. Give prob of sequence zo.
21/380
What is prob of sequence ff when two letters picked without replacement from {f: 5, y: 9, b: 2, w: 2}?
10/153
Calculate prob of sequence qr when two letters picked without replacement from earraeeerrqqreeqrj.
1/17
Three letters picked without replacement from {l: 1, w: 1, c: 2, e: 6, d: 5}. What is prob of sequence ldc?
1/273
What is prob of sequence lghf when four letters picked without replacement from {f: 2, a: 2, h: 1, l: 1, g: 1, o: 1}?
1/840
What is prob of sequence afwm when four letters picked without replacement from {a: 1, k: 1, f: 2, m: 2, w: 1}?
1/210
Calculate prob of sequence sk when two letters picked without replacement from {h: 1, d: 1, k: 2, s: 5, g: 1}.
1/9
What is prob of sequence eee when three letters picked without replacement from eeeeeeveevezvvevvez?
55/323
What is prob of sequence ekk when three letters picked without replacement from {e: 1, k: 2}?
1/3
Calculate prob of sequence ax when two letters picked without replacement from lralxbgrrlx.
1/55
Two letters picked without replacement from phhhhhhhhphphh. What is prob of sequence pp?
3/91
Three letters picked without replacement from {c: 6, x: 2, m: 3, j: 2}. Give prob of sequence mjj.
1/286
Two letters picked without replacement from rwmr. What is prob of sequence wr?
1/6
Calculate prob of sequence kzk when three letters picked without replacement from zkkzkzz.
4/35
Calculate prob of sequence ujn when three letters picked without replacement from vnunjuuvu.
1/63
Four letters picked without replacement from {s: 4, j: 3, n: 13}. Give prob of sequence sjsn.
13/3230
Two letters picked without replacement from nnnhhnnnnhhhnnnnhn. Give prob of sequence nh.
4/17
What is prob of sequence zj when two letters picked without replacement from {t: 6, j: 3, z: 6, n: 4}?
1/19
Three letters picked without replacement from {q: 1, g: 1, n: 5, r: 1, l: 1, t: 3}. What is prob of sequence rqt?
1/440
Calculate prob of sequence ll when two letters picked without replacement from {e: 1, l: 2}.
1/3
What is prob of sequence ai when two letters picked without replacement from {b: 5, i: 1, l: 1, f: 3, a: 4}?
2/91
What is prob of sequence gggg when four letters picked without replacement from {g: 9}?
1
Calculate prob of sequence uuuu when four letters picked without replacement from unuuuun.
1/7
What is prob of sequence jll when three letters picked without replacement from fglnfngljngiifln?
1/560
Calculate prob of sequen | {
"pile_set_name": "DM Mathematics"
} |
mmon multiple of z and n.
24
Let d be (-1)/(-4) - 2425/4. Let o = -5465/9 - d. What is the common denominator of o and (-2)/7 + (-1298)/112?
72
Let g = 2870146079/37853700 - 5144/41325. Let c = -44064987/2290 - g. Let o = c + 19313. What is the common denominator of o and -101/12?
60
Let f(x) = -x**2 - 8*x - 5. Calculate the least common multiple of 8 and f(-6).
56
Let s = 2048 + -36973/18. Let n(d) = 5*d**3 + d**2 + d + 1. Let z be n(-1). Calculate the common denominator of 1*(1 + (-26)/z) and s.
18
Let k = -1448119/3710905 - 14/5995. Let f = k - -3809413/4952. Let j = f - 1551/2. Find the common denominator of j and -87/22.
88
What is the common denominator of 101/36 and 2 + 1 - (-10144)/(-2112)?
396
Suppose -2*q = 88 - 16. Suppose 2*j - 5*v = -18, 4*j - 3*j + v + 9 = 0. Find the common denominator of 211/q + 2/j and 31/6.
12
Suppose 6*o - 36 = 3*o. Let n(v) = v**3 + 4*v**2 + 2*v - 1. Let b be n(-2). Suppose 4*m - 18 = b*m. What is the lowest common multiple of o and m?
36
Let i = 4 + 10. Let o(a) = 2*a**3 - 19*a**2 + 8*a + 25. Calculate the lowest common multiple of i and o(9).
112
Let s be (4/(-10))/(2/(-10)). Suppose 4*g + 7*y = s*y + 59, 2*g - 5*y = 7. What is the lowest common multiple of 8 and g?
88
Let t = -5 + 1. Let b = 13 + t. What is the lowest common multiple of (-38)/(-6) + (-2)/6 and b?
18
What is the common denominator of (-539)/(-33) - (0 - 2) and 25/9?
9
Let j = -105472/20637 + -2/6879. Find the common denominator of j and 13/8.
72
Let r(x) = -x**3 - 4*x**2 - x + 2. Let f be r(-4). Let w = 14445/4 - 3633. What is the common denominator of (-146)/(-6)*f/16 and w?
8
Let l(z) = z**3 - 7*z**2 + 6*z - 12. What is the smallest common multiple of 9 and l(7)?
90
Let u = -58/15 + 21/5. Let f(n) = -n**3 + 7*n**2 - 2*n + 8. Let d be f(9). Let r = d + 1945/11. What is the common denominator of r and u?
33
Suppose -6 = 3*v - n, v - 3*n + 8 = -3*v. Calculate the smallest common multiple of 3 and -2*(63/v)/9.
21
What is the lowest common multiple of 18 and (2/6)/((-1)/9) + 27?
72
What is the common denominator of -69/4 and (-64)/80 + 334/(-320)?
32
Suppose 4*q + 4 = 4*h - 8*h, -2*h + 8 = -3*q. Calculate the common denominator of -81/16 and q/(-1) + (-153)/24.
16
Let n(o) = o + 6. What is the lowest common multiple of n(4) and 20?
20
Let s = -10 - -16. What is the smallest common multiple of s and 5?
30
What is the lowest common multiple of 4/22 - 548/(-11) and 30?
150
Let n(r) = -r**2 - r + 6. Let d be n(7). Calculate the common denominator of 93/2 and ((-36)/330)/(8/d).
22
Let j be -1 + 2 + 6 + 1. Let p = -73 + 257/3. Find the common denominator of -1 + 1 + (-22)/j and p.
12
What is the common denominator of (2/(-24))/(5/128) and -7/36?
180
Let z be (-45)/(-18)*(-88)/(-10). Let a = -8246 - -65801/8. Let j = a + z. Find the common denominator of j and -35/3.
24
Let c = -3 + 2. What is the common denominator of (-210)/(-44) - (2 - c) and 4/42*153/(-4)?
154
Let s be 2/((-3 - -1) + 0). Find the common denominator of 43/4 and (273/18 - 1) + s.
12
Let r be ((-6)/4)/1*2. Let l(g) = -g**3 - g**2 + 5*g - 1. What is the smallest common multiple of l(r) and 18?
18
Calculate the common denominator of (38/4)/((-1)/(-10)*22) and 103/42.
462
Suppose -2*s + 31 = 3. Let v = -30 - -44. Calculate the lowest common multiple of s and v.
14
Suppose 0 = -3*i + 4*j - 512, -3*i - 498 = 5*j - 2*j. Find the common denominator of (-1100)/i - (-4)/6 and -139/12.
84
Let y = -33115271/100 - -331147. Let i = y + 159/25. Find the common denominator of i and 59/16.
80
Let y be 6/15*5*18. Suppose -4 = 4*d - y. Calculate the lowest common multiple of d and 6/((-2 - -1) + 2).
24
Let j(s) = -2*s. Let r be j(-2). Let i = r + -4. Suppose 0 = -i*m - 5*m + 20. Calculate the lowest common multiple of 7 and m.
28
Let o = 8074 + -5563. Let a be 2 + -1 - (-10109)/(-4). Let t = a + o. What is the common denominator of t and 1/12?
12
Suppose l = -0*l + 4. Suppose -5*m - 2*v + 10 = -10, -5*m + l*v = -20. Calculate the least common multiple of m and 16.
16
Let d be 45/(-2)*16/(-10). What is the common denominator of (-5 - -2) + 242/d and 41/20?
180
Suppose -9 = -t - u, -21 = -5*t - u + 20. Calculate the least common multiple of t and 2.
8
Let w = -488 - -1941/4. Find the common denominator of 51/2 and w.
4
Let z be (-2)/4*4145/(-10). Let u = z - 209. What is the common denominator of u and -7/10?
20
Suppose 4*k + 0*k + 12 = 0. Let g be (-4)/16 + k/4. What is the smallest common multiple of 12 and g/4 + (-25)/(-4)?
12
Find the common denominator of (3 - (-262)/(-56))*1 and 111/10.
140
Calculate the smallest common multiple of 3*((-6)/2)/(-9) + 3 and 5.
20
Let y = 3/650 - -33117/7150. What is the common denominator of y and ((-1)/5)/((-8)/115)?
88
Let p = 28 + -23. Suppose p*d - 4*g - 14 = 0, 5*d - 25 = -4*g + 21. Calculate the smallest common multiple of d and 1.
6
Find the common denominator of 2/(-8) + (-1 - 146/136) and -21/10.
170
Suppose -2*w + 15 = 3*w. Suppose 0 = -w*v - 2*v - 4*a - 80, 4*a + 32 = -2*v. Calculate the common denominator of (-2)/(-1) + (-10)/v and -19/12.
24
Suppose 2*b - 38 = -6. Calculate the lowest common multiple of 4 and b.
16
Suppose 215 = 2*z + 41. Calculate the common denominator of 4/(40/z) - -1 and 22/3.
30
Let y be (-10)/16*112958/(-15). Let l = 4700 - y. Find the common denominator of l and 20/(-14)*805/(-60).
12
Calculate the common denominator of 5/18*(-2751)/(-70) and 13/22.
132
Let f(u) = 22*u**2 + u + 1. Let j be f(1). Let m = 32 - j. Calculate the least common multiple of 1 and m.
8
Let x = 95 - 53. Let n = -7 + x. Suppose 2*d + 3*d = n. What is the lowest common multiple of 3 and d?
21
Let y be 16/(-72) + (-266954)/(-144). Let z = y - 1848. Find the common denominator of -52/11 and z.
88
Let c be (-12)/(-28) + 375/7. Calculate the least common multiple of (2/(-6))/((-3)/c) and ((-3)/(-4))/((-3)/(-24)).
6
Let j = -19/69 + -1811/690. Find the common denominator of ((-86)/40)/((-5)/20) and j.
10
Calculate the lowest common multiple of 20 and 1/1 - (-17 - (4 - 8)).
140
Let r(g) = -17*g**3 - g**2 + g + 1. Suppose -4 + 5 = -l. Let t be r(l). Find the common denominator of 94/t - 2/(-2) and -41/10.
40
Let r be (-2 - 9/(-3))*0. Suppose r*l - o + 2 = -l, 2 = l - 5*o. Find the common denominator of ((-1)/6)/(l/(-303)) and -63/8.
24
Let b(t) = -t**2 - 6*t + 2. Let x(n) = 7*n - 20. Calculate the least common multiple of x(4) and b(-6).
8
Let j = 22 + -16. What is the lowest common multiple of j and (32/(-6))/(14/63*-1)?
24
Calculate the lowest common multiple of 18 and 4288/240 - (-2)/15.
18
Let r(y) = -y**3 - 9*y**2 - 9*y - 5. Let o be r(-8). Suppose 5*x = 5*k + 140, -x + 6 = -o*k - 24. Calculate the common denominator of -31/10 and x.
10
Let h = 0 - -2. Suppose 3*s + 16 = 3*w - 5*w, 5*s = 4*w + 32. Calculate the common denominator of (h/w)/((-1)/(-11)) and 43/8.
8
Suppose 0 = -5*o + 4*f + 233, 0 = 3*f + 2*f + 10. What is the common denominator of o/7 - (-6)/12 and -93/20?
140
Let g be (-2804)/160*(-3310)/4. Let k = g + -14508. Find the common denominator of (-3)/(84/50) - 2 and k.
112
Let w = -249773/30954 + -5/2211. Calculate the common denominator of w and 49/22.
154
Let t(p) = -19*p**3 - 2*p**2 + 1. Let l = -2 - -1. Calculate the smallest common multiple of t(l) and 22.
198
Let o be 4394/(-20) - 10/(-50). Let d = o - -209. What is the common denominator of d and 53/16?
16
Let r = 55 + 5. Suppose 7*n - 2*n = r. Calculate the common denominator of -10 and (3/(-4))/(n/100).
4
Let s be 16/(-10) - 10/25. Let o(n) = n**3 + 6*n**2 + 4*n - 1. What is the least common multiple of 3 - s/6*0 and o(-5)?
12
Suppose 4*l - g = 49, -1 = -2*g - 3. Suppose -f = 4*f + 2*z - 14, 4*f - 5*z = -2. Suppose 5*x - l = -f. Calculate the least common multiple of x and 8.
8
Suppose 5*d - d + 16 = 0. What is the lowest common multiple of 8 and -1 + -1 - 36/d?
56
Let c = 2 - -3. Let b(m) = m + 7. Let h be b(-7). Suppose q + 3*a - 1 = h, -q + 2 = q - 4*a. Calculate the lowest common multiple of q and c.
5
What is the smallest common multiple of 176/18 + (-34)/(-153) and 10?
10
Let t be 2/(-3)*(-36)/8. Let l be (2/t)/((-8)/(-36)). Suppose 20 = 5*i - l*i. What is the lowest common multiple of i and 20?
20
Let s = -3598 + 28749/8. Calculate the common denominator of 31/8 and s.
8
Supp | {
"pile_set_name": "DM Mathematics"
} |
sqrt(68)*-2) + sqrt(68))*6)/(sqrt(4) + (sqrt(32)*-2)/sqrt(8)).
24*sqrt(17)
Simplify (((1 + sqrt(1872)*-1 - (sqrt(1872)*1 + 5 + sqrt(1872)))*-4 + 5)*-2)**2*1*1.
24192*sqrt(13) + 1080036
Simplify (2*(-4*(sqrt(104) - ((sqrt(104) - sqrt(104)*1) + sqrt(104))) - -1*sqrt(104)*-6)/((3*sqrt(48)*1)/sqrt(6)))**2.
208
Simplify (2*(sqrt(5000) - sqrt(5000)*-1) + sqrt(5000)*-1*1)/(2*sqrt(1440) + -6*sqrt(10)*-2).
5*sqrt(5)/6
Simplify -5 + -3*-3*sqrt(13) + 1 + sqrt(468) + ((sqrt(26) + (sqrt(26) - ((sqrt(416) - sqrt(416)*2) + sqrt(26))))/((sqrt(12)/sqrt(6) + sqrt(2))*-3))**2.
181/36 + 15*sqrt(13)
Simplify (5 + ((0 + sqrt(80) + -2 + sqrt(80) + sqrt(80))*-5 - (sqrt(80) + -5*2*sqrt(80) + -1*sqrt(80)*6)) + -5)**2.
100
Simplify -5*(((5 + sqrt(153))*1)**2 + sqrt(153)) - ((sqrt(119) + sqrt(119)*-1 + sqrt(119))*-2)/(sqrt(42)/(sqrt(12)/sqrt(2))).
-890 - 163*sqrt(17)
Simplify (-2*-3*(sqrt(1088) + 2 + 2 + sqrt(1088) + sqrt(1088) + (sqrt(1088)*1 - sqrt(1088))*-1) + 4)**2 + -2.
8064*sqrt(17) + 353294
Simplify -4*(3*(-2 + -2 + sqrt(1100) + 3) + 1)*3 + 0.
-360*sqrt(11) + 24
Simplify (6*-2*(sqrt(209)*2 + sqrt(209) - sqrt(209))*-4)/(sqrt(275)*-4 + 6*sqrt(44)/sqrt(4)) + 4.
-48*sqrt(19)/7 + 4
Simplify 2*((-2*sqrt(200)*-6 - sqrt(200))/sqrt(8))/(sqrt(10)/(sqrt(2) + 3*3*sqrt(2))).
220*sqrt(5)
Simplify ((5*sqrt(152)/sqrt(4))/(sqrt(24)/(sqrt(24)/sqrt(2))))**2 - ((sqrt(38)*2*-4)/(4*sqrt(4)/sqrt(2)))**2.
399
Simplify (-2 + (4*(sqrt(2) - (sqrt(2) + sqrt(2) + 1)) - (-6*1*sqrt(2) - sqrt(2))))**2 + 4 + -2 + ((sqrt(20) + 1*sqrt(20) + sqrt(20))*-3)/(1*sqrt(1440)).
-147*sqrt(2)/4 + 56
Simplify (1 + 1*sqrt(1100)*-5*-2 - 1*(-1*-1*sqrt(1100) + -4 + (sqrt(1100) - sqrt(1100)*-2)))**2.
600*sqrt(11) + 39625
Simplify ((sqrt(96)/(sqrt(36)/sqrt(3)) - sqrt(56)/(sqrt(14)/sqrt(2)))*-3)/((-2*sqrt(4)*-1 - sqrt(4)) + sqrt(484) + (sqrt(484) - (sqrt(484) - 4*sqrt(484)))).
0
Simplify ((-3*-3*sqrt(50)*-2)/((2*sqrt(110))/sqrt(11) - (sqrt(80)/sqrt(2) - sqrt(10))))**2*6.
9720
Simplify ((1*sqrt(468) - sqrt(52)) + sqrt(832)*3)/(-4*3*sqrt(16))*5.
-35*sqrt(13)/12
Simplify -1 + (sqrt(192) + 0 - (3 + sqrt(12)/sqrt(4))) + (-1 + sqrt(27) - (sqrt(300) + -1 + sqrt(300)))**2 + -5.
7*sqrt(3) + 858
Simplify (sqrt(3300) + -3*sqrt(3300) + -5*(sqrt(33) + sqrt(231)/sqrt(7)))/((sqrt(121)*-1*3)/(sqrt(11) - 5*sqrt(22)/sqrt(2))).
-40*sqrt(3)
Simplify ((sqrt(91) + sqrt(91)*2*3)/(2*sqrt(448)) + ((sqrt(832) + 0)*-6)**2 + -4)*-2.
-59896 - 7*sqrt(13)/8
Simplify 6*(-2 + (-5*(-1 + sqrt(112))*-5 + sqrt(112)*-1 + 3 + -4 + sqrt(112) + 0)**2).
-31200*sqrt(7) + 424044
Simplify -1 + ((1*(sqrt(20) - sqrt(5)))**2 - (-5 + sqrt(5)*1)) + (sqrt(5)*1 + -4 - (sqrt(5) - (2 + sqrt(5) + 2))) + -2.
7
Simplify 5 + (3*(sqrt(119) + sqrt(119)*-1 + sqrt(119))*2)/((sqrt(49) - sqrt(245)/(sqrt(5)*-2))/sqrt(7)).
5 + 4*sqrt(17)
Simplify 2 + ((sqrt(204) + ((sqrt(204) - sqrt(204)*1)*2 - sqrt(204)) + (sqrt(204) - sqrt(204)*1*5))*1)/(4*sqrt(108)/((sqrt(252)/sqrt(4))/sqrt(7))).
-sqrt(17) + 2
Simplify (sqrt(114)/sqrt(6) + -4 - (sqrt(304) + -1)) + (-6*(sqrt(931) + -1 + 5))**2.
2013*sqrt(19) + 34089
Simplify (sqrt(70)/((sqrt(90) + sqrt(10))*2)*-3)**2 + ((sqrt(700) - -1*sqrt(700)) + 3 - -6*-2*sqrt(700))**2.
-600*sqrt(7) + 4480639/64
Simplify -5 + (-5*(-3 + sqrt(192))*5 + 0 + -1 + 2 + sqrt(192))**2.
-29184*sqrt(3) + 116363
Simplify 6*((4*sqrt(228) - (sqrt(2052) - sqrt(2052)*1))*2)/((sqrt(36)/(sqrt(3)*2))/((sqrt(8)/sqrt(2) + sqrt(4))*-6)).
-2304*sqrt(19)
Simplify (((sqrt(168) + (sqrt(168)*-1 - sqrt(168)) - sqrt(168))*-5 - sqrt(168)) + 5*sqrt(168)*1)/(6*2*sqrt(18)/sqrt(3)*4).
7*sqrt(7)/12
Simplify (((sqrt(171) + -2*-4*sqrt(171))*5*4)/((sqrt(108)/(sqrt(6)/sqrt(3)))/((sqrt(6) - (sqrt(6) + sqrt(36)/sqrt(150))) + sqrt(6) + sqrt(6))))**2.
1994544
Simplify (sqrt(162)/(sqrt(27)/sqrt(3) + sqrt(9)) + -2*(sqrt(72)/sqrt(4) + sqrt(18)))/((2*(sqrt(72) + sqrt(72)*2 - sqrt(72) - sqrt(72)))/(sqrt(72)*2 - sqrt(8))).
-35*sqrt(2)/4
Simplify (sqrt(228)/(sqrt(240)/sqrt(5)) + sqrt(171)/(sqrt(36)*5))**2 - ((3*sqrt(304)*-5)**2 - ((sqrt(304)*2)**2 + 4)).
-1679329/25
Simplify (sqrt(152)*5*2 - -3*2*sqrt(152))/(-5*sqrt(8)*5 + sqrt(8) - (sqrt(968) - sqrt(968)*-1)).
-8*sqrt(19)/23
Simplify ((((sqrt(171) - ((sqrt(171) - (sqrt(171)*3 - sqrt(171))*-3) + sqrt(171))) + sqrt(171))*2)/((-5*sqrt(1575))/sqrt(7))*5)**2.
2736/25
Simplify (-4*((sqrt(153)*1 + sqrt(153) - sqrt(153)) + sqrt(153)) + 3*sqrt(153)*1)/(((sqrt(1296) - -2*sqrt(1296) - sqrt(1296)) + sqrt(1296))*-4*5).
sqrt(17)/144
Simplify (-5*(sqrt(84) + (sqrt(84) + 1*sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84)) - sqrt(84))*-3)/((sqrt(12) - sqrt(432))*4 + sqrt(108)/sqrt(324)) + -3.
-270*sqrt(7)/119 - 3
Simplify (-1*sqrt(3888) + sqrt(27) + -6*-1*sqrt(27))/(-5*sqrt(729)*2 + -2*(sqrt(729) + (sqrt(729) - sqrt(729)*-2)) + sqrt(729)).
5*sqrt(3)/153
Simplify (1*sqrt(5000)*1*4)/((sqrt(640) - (sqrt(640) - 4*sqrt(640))) + sqrt(640) + sqrt(90)*-1 + sqrt(90)).
sqrt(5)
Simplify -5*((5*(4 + sqrt(84)/(5*sqrt(12))))**2 + -2*(sqrt(252) - (4 + 2*sqrt(252)))).
-2075 - 260*sqrt(7)
Simplify ((-1 + 5 + sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 5 - sqrt(1872))*2) + -2)*3*-1)**2.
-3456*sqrt(13) + 67968
Simplify (((sqrt(200) - sqrt(200)*-2) + sqrt(200))/sqrt(4))/(sqrt(10) + (3*(sqrt(10) + sqrt(10) + sqrt(10)*2) - sqrt(10))) + (-5*sqrt(10)*2)/(-1*sqrt(18)).
11*sqrt(5)/3
Simplify (sqrt(99) - (-3*1*sqrt(99) + sqrt(99)) - 5*-1*sqrt(99))/(sqrt(324) + -3*sqrt(324)*-2)*4.
16*sqrt(11)/21
Simplify (((sqrt(170) - (-1*sqrt(170) + sqrt(170))*-1) + -3*-2*sqrt(170))*3)/(sqrt(810)*-2*-4 - (sqrt(810) - (1*sqrt(810)*-5 + sqrt(810)))).
7*sqrt(17)/9
Simplify (-1*(-2*((2*sqrt(286))/sqrt(11) + sqrt(26)))/(sqrt(2) + (sqrt(128) - -1*sqrt(128)) - 1*sqrt(50)))**2.
13/4
Simplify (((sqrt(2400) + 1*sqrt(2400)*-3 - sqrt(2400))*-3)/((sqrt(16)*-1)/sqrt(2) + sqrt(8) + sqrt(8) + 1*sqrt(800) + sqrt(800) + sqrt(8)))**2.
6075/121
Simplify (-2*(-3*sqrt(192))**2 + (sqrt(192) + 0 + sqrt(192))*3 + -4*(0 + -4 + -1*sqrt(192)))*-1.
-80*sqrt(3) + 3440
Simplify (1*(sqrt(256)*6 - sqrt(256) - sqrt(256)))/sqrt(8) - (sqrt(96)/(-3*sqrt(12)*-1))**2.
-8/9 + 16*sqrt(2)
Simplify -4 + (2 + sqrt(1377) + 5 + (sqrt(1377) - (4 + sqrt(1377))) + -4)**2 + 1 + -5.
-18*sqrt(17) + 1370
Simplify 3*(-1*(-5 + (-1*sqrt(68) + sqrt(68) + -4 + -1 + 1 + sqrt(68) - (-1 + ((0 + sqrt(68))*-1 - sqrt(68))))))**2.
-288*sqrt(17) + 2028
Simplify (-6*sqrt(250))/(sqrt(5)*1*-3 + sqrt(5)) + -6*(sqrt(72) + (sqrt(72) + (-3 + sqrt(72))*-6 + sqrt(72))**2 + sqrt(72)).
-8856 + 5127*sqrt(2)
Simplify -5*((sqrt(832) + (sqrt(832) + 1)*3 - 1*(sqrt(832) + -1))*5 - (1*sqrt(832) + sqrt(832) + 1 - (sqrt(832)*-3 + 5)))**2.
-418880 - 19200*sqrt(13)
Simplify (6*(sqrt(110) - 2*sqrt(110)*3)*3)/(4*(sqrt(10) - sqrt(10)*3) - sqrt(50)/(sqrt(5) - sqrt(125))).
360*sqrt(11)/31
Simplify (6*(sqrt(136) + (sqrt(136) + (sqrt(136)*5 - sqrt(136)))*-6 + sqrt(136)))/(5*(sqrt(1152) - -3*sqrt(1152))).
-7*sqrt(17)/10
Simplify 2 + (-3 + sqrt(68)/sqrt(4) + sqrt(17) - sqrt(68)*4) + 3 + 5 + sqrt(2057) + 0 + sqrt(2057).
7 + 16*sqrt(17)
Simplify (-5*(sqrt(490)*2 - sqrt(490)))/(sqrt(320)*6)*1.
-35*sqrt(2)/48
Simplify (5*(5 + ((2*sqrt(132))/sqrt(11)*-2 - sqrt(48)/(sqrt(576)*-2)))*1)**2.
-11875*sqrt(3)/6 + 255625/48
Simplify ((sqrt(66)*3 - sqrt(66))*6 - (sqrt(66) - (sqrt(66) + 3*sqrt(66)))*6)/(3*(sqrt(384) - (sqrt(384)*-1 - sqrt(384)))*-2).
-5*sqrt(11)/24
Simplify 3*(-2*sqrt(32) + 0) + (sqrt(800)*2 - sqrt(24)/sqrt(3)*-1)**2 + 1.
-24*sqrt(2) + 3529
Simplify sqrt(10)/(-1*sqrt(288)) + (sqrt(30)/sqrt(24) - (sqrt(5) + (sqrt(20) + sqrt(5))**2*-4)) + 4*4*(sqrt(720)*1 - sqrt(720))**2*4.
-7*sqrt(5)/12 + 180
Simplify 5*(sqrt(260)/(sqrt(10) - ((sqrt(10)*-2 - sqrt(10)) + sqrt(10))) - -5*sqrt(26)*1)/(2*sqrt(2)*2 + sqrt(352)/sqrt(11))*2.
20*sqrt(13)/3
Simplify (sqrt(119) + 1*sqrt(119)*-1 - sqrt(119))/(sqrt(14)/(sqrt(2)*2)) + ((-2*sqrt(204)*6)/sqrt(12))**2 + -5 + -1.
-2*sqrt(17) + 2442
Simplify ((sqrt(441) + -3*(-2*sqrt(441) + sqrt(441)))/(sqrt(225)*-3))/(sqrt(847)*4 + (sqrt(77)*1 + sqrt(77))/sqrt(11)).
-2*sqrt(7)/345
Simplify (3*(sqrt(175) + 0) + sqrt(175) + 1)**2 + ((sqrt(7) - sqrt(1008)*-2)**2 + sqrt(7))*6 + 5.
46*sqrt(7) + 29056
Simplify 4 + 6*(sqrt(30)/sqrt(6) + -3) + (4*sqrt(5)*2 - -3*(sqrt(35)/sqrt(7) + sqrt(5) + sqrt(5))**2).
14*sqrt(5) + 121
Simplify (2 + (sqrt(75) + -2*(sqrt(75)*-3 - sqrt(75)) - -3*2*sqrt(75)) + -4)**2*-2.
- | {
"pile_set_name": "DM Mathematics"
} |
5
What is -41312565 - 1964019?
-43276584
What is 14 + -189.81940568?
-175.81940568
What is -370.565449136 take away -1.1?
-369.465449136
What is the distance between -2438897.9 and -7674?
2431223.9
Work out 5921791760 + -62791.
5921728969
Calculate -11198.83 - -34976525.
34965326.17
3266.8772+-3.83
3263.0472
Add together 1118746628266549 and 0.3.
1118746628266549.3
What is 2 plus 274981.020843?
274983.020843
Work out -5798 - -28.5244446.
-5769.4755554
Work out 4987971.594703 - -3.
4987974.594703
What is 32243357 less than -2893.32?
-32246250.32
Work out -9555729077 + 4178.
-9555724899
What is 1680.0881729 less than 0.48?
-1679.6081729
Add 2090 and 529.5925067.
2619.5925067
What is 0.158 take away 12940555454?
-12940555453.842
What is 694.38 minus -3056928123?
3056928817.38
What is -1712006 minus 100206?
-1812212
Subtract 24.99 from 2761.2718.
2736.2818
What is 4816 less than -1390.87183371?
-6206.87183371
What is 332347132 + 0.14405?
332347132.14405
Total of 1.6 and -7569170693.
-7569170691.4
What is 3564500334945 + -3?
3564500334942
What is the distance between 884115 and -134679?
1018794
0.1+-1717.36149
-1717.26149
Subtract 66.77 from 329133.41833.
329066.64833
Work out -1782 - 25645479.188.
-25647261.188
Calculate -1287 + -12175882389.
-12175883676
Subtract 9.66 from -38776818.
-38776827.66
-99 - -93378591.44
93378492.44
What is the distance between -5 and -73812952652133?
73812952652128
-5019+-1356929.5
-1361948.5
Put together 5339 and -0.117877743.
5338.882122257
Put together -441038564 and 211845.
-440826719
Total of 171625 and 2306.207403.
173931.207403
Add 23 and -37912.717925526.
-37889.717925526
Total of -2 and 243785092940.54.
243785092938.54
-7 - -1689048507
1689048500
What is 20 - 6309535.14137?
-6309515.14137
Put together 160.37 and 1898727353.
1898727513.37
-363 - 25.21769887
-388.21769887
What is -2.9308 - 84.383453?
-87.314253
What is -297272022 minus -1252?
-297270770
What is -4 less than -310309153094192?
-310309153094188
372733850831.9 - -7
372733850838.9
Sum -13065 and 1419.41451.
-11645.58549
Subtract 2564.95 from -111.24963.
-2676.19963
Work out -0.1283 + -126542142459.
-126542142459.1283
Work out -27.82795 - 84192278.
-84192305.82795
-0.487 - 11158.03859
-11158.52559
Sum -9.81184 and -76751.
-76760.81184
Add -56 and 181569841.
181569785
Calculate 997510722 + -3.78.
997510718.22
What is the difference between 2066598 and 1568883.4?
497714.6
Work out 113163488923 + -64.
113163488859
What is the difference between 8870429808 and 0.0159?
8870429807.9841
What is -245557 take away -18425.78?
-227131.22
Subtract -601.69 from 10.46651.
612.15651
What is the difference between -13873.33 and 3742880?
3756753.33
What is -28403451398 plus -0.1594?
-28403451398.1594
-44401708.9061+3
-44401705.9061
Subtract -170.442 from 32663.568.
32834.01
What is 5.8206 minus 262.158?
-256.3374
What is -12621093428409 plus -3?
-12621093428412
Calculate -0.12180503 - 7311.02.
-7311.14180503
0.3076382 + -0.073382
0.2342562
Work out 56.9 + 0.06981273436.
56.96981273436
-5609 + -543894.103
-549503.103
Calculate 69.021 + -1449680.
-1449610.979
What is -19.3012 + -93807919?
-93807938.3012
-63159.586 - -1229209
1166049.414
Calculate -0.100391737 + 381326.
381325.899608263
Put together -7741745845117 and 0.9.
-7741745845116.1
Work out 1 + 3.9865883729.
4.9865883729
-28.7 + 1088790551
1088790522.3
Total of -17388138481 and 2.
-17388138479
What is -2024905655259 - -0.8?
-2024905655258.2
What is -678 + 88300155?
88299477
What is -0.47 minus 394.9755746409?
-395.4455746409
-0.2 - -14336232.027127
14336231.827127
Put together -978254 and 0.0588507865.
-978253.9411492135
Calculate 614858721947 - 2.
614858721945
What is the distance between -110809178225560 and 2?
110809178225562
Subtract 589 from 41845605182.
41845604593
What is 717318.653 minus 0.074462?
717318.578538
Total of 227 and 1583319844.
1583320071
What is -581124644 take away -1.8?
-581124642.2
Subtract 275783765.75 from 0.3.
-275783765.45
Work out 15.65700297 + -2112.
-2096.34299703
What is -10972196 take away 0.082702?
-10972196.082702
What is 306372509250 plus 0?
306372509250
What is 3640737321540 + 1?
3640737321541
Work out -1.4 - -5.746081592.
4.346081592
What is -20 less than 572977798264?
572977798284
49168687.7 + 712
49169399.7
What is the distance between -23314999319 and -0.3?
23314999318.7
Work out -232155583.22 + 0.188.
-232155583.032
What is -47.9 + -507.6759939?
-555.5759939
Work out 82.6742 - -2.57106.
85.24526
What is 0.5 take away 774314176390?
-774314176389.5
What is 173263732 take away 254136?
173009596
Subtract 14.3 from -1406929761.
-1406929775.3
What is -199 + 23698221049?
23698220850
Add 7687182818 and -5109.
7687177709
1.29 - 1018.476872
-1017.186872
Work out 28305362 - -0.0319.
28305362.0319
What is 0.4 take away -0.0296431862356?
0.4296431862356
Put together -2.652894571 and -206.
-208.652894571
Subtract 4896 from -368619714.
-368624610
What is -1.463 plus -725596151?
-725596152.463
Total of -3 and 887460818164.
887460818161
Put together -4 and -25202197361844.
-25202197361848
What is the distance between 8.8 and 1152053382592?
1152053382583.2
Work out 1708747733.461 - -72.
1708747805.461
Work out -1168.036661 - -108.
-1060.036661
Work out -0.02 - 97582245618.
-97582245618.02
-481195041.8 + -2.362
-481195044.162
Work out -247.58654 + -34.7.
-282.28654
Work out -121 + -544896352.
-544896473
What is 478290.59 take away 2104295?
-1626004.41
What is -24957162177 + -0.5?
-24957162177.5
Calculate 6946413.50032 - -0.4.
6946413.90032
Work out -9652843 + -222950.79.
-9875793.79
-1038595.09 - -15207
-1023388.09
Sum 4100171392 and 20.453.
4100171412.453
Add -8906417 and -18.22925.
-8906435.22925
-0.55+363.03046229
362.48046229
Calculate -0.02973635571 - 20.
-20.02973635571
What is -15 less than 8958423633.382?
8958423648.382
-0.032916293+-10143
-10143.032916293
-2.63 - -259486056.79
259486054.16
What is 0.731 - -182019.914?
182020.645
Work out 32567035 + -89.65.
32566945.35
-378381438 - -0.191959
-378381437.808041
What is 188481184892 less than 5?
-188481184887
Work out 0.3413 - 1321277.
-1321276.6587
What is -4.29 minus 429091684836?
-429091684840.29
What is 783061 plus -6933719?
-6150658
What is -0.080743 + -2357946?
-2357946.080743
Work out -88474534102.891 - -0.3.
-88474534102.591
What is -4 take away 1.17084912386?
-5.17084912386
-4707523646 - -0.315595
-4707523645.684405
What is -14.3719 plus 38.4601?
24.0882
Add together -756959 and 4.06862.
-756954.93138
Work out -0.02783474 + 8195.36.
8195.33216526
What is 12 less than 1603307618554?
1603307618542
Calculate -193193735052004 + -2.
-193193735052006
Sum 0.5 and 107088.416371.
107088.916371
What is 65.898 + -41374139?
-41374073.102
Sum -449.6276528 and -144485.
-144934.6276528
What is -10021 + 441760560?
441750539
What is -450.841207444 - 154?
-604.841207444
Work out 4945 - -9354392169.
9354397114
6307+42999995356
43000001663
Add -9.3359612151936 and -8.
-17.3359612151936
What is the difference between 39728.3012244 and 3.1?
39725.2012244
Total of -0.0012 and 487.272154855.
487.270954855
What is -1729220326262 less than 107?
1729220326369
What is -53238084666 take away -0.4?
-53238084665.6
-142285310484077 + 3
-142285310484074
Add together 469690804 and 4841.
469695645
What is -5833.517323419 less than -0.4?
5833.117323419
-27732569.072 - -0.2
-27732568.872
Sum 133350 and 0.3378757358.
133350.3378757358
Calculate -5.6 + 28194011.233.
28194005.633
-280196120 + 0.0595568
-280196119.9404432
What is the distance between -297092791718958 and 0.5?
297092791718958.5
Sum 5671070222 and -1199.
5671069023
Calculate 79 - 1129992050.
-1129991971
What is -1449.6 less than 38191434627?
38191436076.6
-61637176241+-20.2
-61637176261.2
Add -151457198 and 43865.
-151413333
Total of 455681329.26 and -0.04.
455681329.22
Work out 2 - 952948728.
-952948726
What is 2869003417293 plus -5?
2869003417288
Total of 18551512 and 30387.
18581899
Work out 3.36 - 163247.048.
-163243.688
Total of -423512 and -4586232.
-5009744
Calculate -1308021 + -30860.
-1338881
What is the difference between -8891424541 and -0.846?
8891424540.154
Add 314065527 and 1591.
314067118
Work out 116 - -53848721.7.
53848837.7
-3.13 + -773461527755
-773461527758.13
Calculate -42 + | {
"pile_set_name": "DM Mathematics"
} |
4*a**2*v**2 - 8*a*v**3 - 10*a*v**2 - 301*a - 191*v**4 + 1 wrt v?
-6*a**2 - 48*a - 4584*v
What is the third derivative of 55*g**5 + 631*g**4 - 67*g**2 - 2*g - 309?
3300*g**2 + 15144*g
What is the third derivative of 4*w**5 - 133*w**4 - 5*w**3 - 12*w**2 - 4*w - 10?
240*w**2 - 3192*w - 30
What is the third derivative of -67014*w**3 - 2*w**2 + 649*w + 3 wrt w?
-402084
Differentiate -6756*b**4*f**3 + 2*b*f**3 + 4991*f**3 wrt b.
-27024*b**3*f**3 + 2*f**3
Differentiate -433917*w**2 + 455769 wrt w.
-867834*w
What is the third derivative of -689045*j**6 - 65*j**2 - j + 804 wrt j?
-82685400*j**3
What is the third derivative of -170*k*y**5 - 109*k*y**2 + 15*k + 1542*y**5 + 34 wrt y?
-10200*k*y**2 + 92520*y**2
Find the second derivative of 17*g*z**2 - 161*g*z - 376*g - 1203*z**3 wrt z.
34*g - 7218*z
What is the first derivative of 33*v**3 - 620*v - 169656 wrt v?
99*v**2 - 620
What is the second derivative of -645680*i**4 + 40*i - 1560 wrt i?
-7748160*i**2
Differentiate -a**2 - 10781*a + 11815 with respect to a.
-2*a - 10781
Find the third derivative of 689573*l**3 + 475204*l**2 + 2*l wrt l.
4137438
What is the first derivative of 39323*o**2 + 3035?
78646*o
Find the first derivative of 295*a**3 - 7*a**2 - 15*a + 444346.
885*a**2 - 14*a - 15
Find the third derivative of 43550*h**6*x + 3*h**3*x**2 + 181*h**2*x**2 - 6*h**2 - 2*x**2 wrt h.
5226000*h**3*x + 18*x**2
What is the second derivative of -126253*l*r**2 + l*r - 24791*l - r**2 - 14 wrt r?
-252506*l - 2
What is the derivative of -a*b*x**4 + 4*a*b*x**2 + 29*a*b + 301*a*x - b + 762 wrt x?
-4*a*b*x**3 + 8*a*b*x + 301*a
What is the second derivative of 38995*a**2 - 29063*a?
77990
Find the second derivative of 9*p**3*x**3 - 65*p**3*x - 6*p**3 - 25846*p*x**5 - 174 wrt x.
54*p**3*x - 516920*p*x**3
Find the second derivative of 2266779*g**2 + 2824177*g wrt g.
4533558
What is the derivative of 2*l*n**2 - 4910*l*n + 30*l + 2*n**2 + 262*n + 157 wrt l?
2*n**2 - 4910*n + 30
Find the third derivative of 13*s**5*u + 2*s**5 - 47*s**3*u - 286*s**2 - 12*u - 3 wrt s.
780*s**2*u + 120*s**2 - 282*u
Find the second derivative of 888009*c**4*n - 1051006*c*n wrt c.
10656108*c**2*n
Find the third derivative of 42468*h*n**3 - h*n**2 + n**3 + 146*n**2 - 182 wrt n.
254808*h + 6
Find the first derivative of 7*j**2*k**2 + 3877*j**2*k + 3*j**2 - 2*j*k - 3812*j - 7 wrt k.
14*j**2*k + 3877*j**2 - 2*j
Differentiate 105*f**3 + 8*f**2 - 7*f + 1230 wrt f.
315*f**2 + 16*f - 7
What is the second derivative of 2*m**4 + 26159*m**3 + 4*m**2 + 4597*m + 4?
24*m**2 + 156954*m + 8
What is the third derivative of -2*t**6 - 1123678*t**5 + 3*t**2 - 206633 wrt t?
-240*t**3 - 67420680*t**2
What is the third derivative of -23865*w**3 + 20*w**2 + 46*w - 3 wrt w?
-143190
Differentiate -265361*w - 157571 with respect to w.
-265361
Find the first derivative of -542109*f**4 - 1159049 wrt f.
-2168436*f**3
Find the first derivative of 1552934*m + 841884.
1552934
Differentiate 6384*u**3 - 4*u**2 + 5*u + 36349 wrt u.
19152*u**2 - 8*u + 5
Find the first derivative of 3*v*y - 8066*v - 4*y + 378 wrt v.
3*y - 8066
What is the third derivative of 4531*b**4*c**2*v**3 + 3*b**3*c**2*v + 10*b**2*c**2*v**2 + 11*b**2*v**2 - b*c**2*v + b*v**3 + 18*v**2 wrt b?
108744*b*c**2*v**3 + 18*c**2*v
What is the second derivative of -6835*k*p**4 - 175*k*p + 85*k + 2*p**4 wrt p?
-82020*k*p**2 + 24*p**2
Find the first derivative of 51195*x**2 + 47799.
102390*x
Differentiate -62*a**3*q + a*q + 389*a - 341470*q with respect to a.
-186*a**2*q + q + 389
What is the derivative of -456*k*u + 43961*k + 448*u**2 - 6 wrt u?
-456*k + 896*u
What is the third derivative of -4*b*c**3*s**3 + 27*b*c**3*s**2 - 58*b*c**3 + 76*b*c*s**3 + 28*b*c*s**2 - c**2*s - 41*s**4 wrt s?
-24*b*c**3 + 456*b*c - 984*s
What is the derivative of -403*d*h**3 + 20*d*r + 4*h**3 - 4*h**2 + 143*h*r - 2*r wrt d?
-403*h**3 + 20*r
What is the second derivative of -2*a*b**2*j - 6*a*b - 3*a*j + 2*a - b**2*j + 46430*b**2 + 2*b*j + 26*b - 8 wrt b?
-4*a*j - 2*j + 92860
Find the second derivative of -1984*h**3*m**3*x**2 - h**3*m**2 + 3*h**3*m*x + 4*h**3*x**2 - h**3 + h*m**3 - 40*h*m wrt x.
-3968*h**3*m**3 + 8*h**3
Find the first derivative of -36072*r**3*t + 882*r**3 - 52 wrt t.
-36072*r**3
Differentiate -5*c**2 - 23*c*n**3 - 7043*c*n - 11*n**3 + 5*n**2 + 2516*n with respect to c.
-10*c - 23*n**3 - 7043*n
What is the first derivative of -26181*n - 70240?
-26181
What is the second derivative of 998830*h**2 - 172861*h + 4 wrt h?
1997660
Find the third derivative of 32104*d**5 - 23*d**3 - 8413*d**2 + 133*d.
1926240*d**2 - 138
What is the derivative of 352440*u**4 - 72593?
1409760*u**3
Find the second derivative of 3*d*g**2*x**2 + 158*d*g**2 - 3*d*g*x + d*x**3 - 52*d*x**2 + 4*g**2*x**3 - 4*g*x**2 wrt g.
6*d*x**2 + 316*d + 8*x**3
What is the second derivative of -1501*k**5 + 50*k**4 + 5*k**3 + 571*k - 818?
-30020*k**3 + 600*k**2 + 30*k
What is the derivative of -64074*d*s - 28447*s wrt d?
-64074*s
Find the first derivative of -80*a**2*d - 760*a**2 + 156*a*d + 4*a + 11 wrt d.
-80*a**2 + 156*a
Find the third derivative of 82155*v**4 - 2345*v**2 - 6 wrt v.
1971720*v
Find the third derivative of -907262*z**5 + 883859*z**2.
-54435720*z**2
Find the third derivative of 8*u**4*x + u**4 - 38*u**3*x + 2*u**2*x - u**2 + 21119 wrt u.
192*u*x + 24*u - 228*x
Find the third derivative of 98212*u**3 + 92760*u**2.
589272
Find the third derivative of 3*f**5 + 166*f**4 - 60*f**3 + 3*f**2 + 468712*f wrt f.
180*f**2 + 3984*f - 360
What is the third derivative of 5*z**6 + 2*z**5 - 3*z**3 + 2*z**2 + 124*z + 37 wrt z?
600*z**3 + 120*z**2 - 18
What is the second derivative of 81881*a*c**4 + 14*a*c + 3*c + 1288 wrt c?
982572*a*c**2
Find the first derivative of 121*m**4 - 211*m**3 - m + 39156 wrt m.
484*m**3 - 633*m**2 - 1
Find the second derivative of 32*g**2*t**3 + 54*g**2*t**2*u - 14*g**2*t**2 - g*t**3 + 1544494*t**3*u wrt g.
64*t**3 + 108*t**2*u - 28*t**2
Differentiate j*l*y**2 + 74622*j*l*y + 2*j*y + j - 321*l*y**2 + l - 23*y with respect to j.
l*y**2 + 74622*l*y + 2*y + 1
Find the third derivative of -21*f**3*r**2 - 436*f**3*r - 2*f**3 - 2500*f**2*r**2 + 228*f*r wrt f.
-126*r**2 - 2616*r - 12
Find the second derivative of -18*d**4 - 1590*d**3 - d**2 + 305*d + 361.
-216*d**2 - 9540*d - 2
Find the second derivative of 2020219*g**3 - 1279498*g wrt g.
12121314*g
Find the first derivative of -1732*s**3 + 3*s**2 + 103431 wrt s.
-5196*s**2 + 6*s
What is the derivative of -32326*l*x**3 - 8200*x**3 wrt l?
-32326*x**3
Find the second derivative of 366*k*s**3 + 12*k*s + 2*k + 2*s**4 - 57*s - 2 wrt s.
2196*k*s + 24*s**2
What is the second derivative of -16719*z**5 - 3*z**4 + 59079*z wrt z?
-334380*z**3 - 36*z**2
What is the third derivative of -2294588*f**6 - 9*f**2 - 61939 wrt f?
-275350560*f**3
What is the second derivative of -2066984*b**3*y - 7*b*y - 15589*b - 2*y wrt b?
-12401904*b*y
Find the third derivative of -897276*v**3 - 1343121*v**2 wrt v.
-5383656
What is the second derivative of -20397*g**2*x - 3*g**2*z**2 + 2*g*x*z + 3*g*z**2 + 632*g*z - 2*g - 26*x wrt g?
-40794*x - 6*z**2
What is the second derivative of 18*w**4 + 597*w**3 + w**2 + 111891*w wrt w?
216*w**2 + 3582*w + 2
Find the second derivative of -461094*u**4 + u**3 + 1619613*u.
-5533128*u**2 + 6*u
What is the third derivative of 362*f**4 + 36*f**3 - 488*f**2 - 29*f wrt f?
8688*f + 216
Find the second derivative of 1306243*m**2*o**3 + 3*m*o**2 + 328*o**3 - 2*o + 2 wrt m.
2612486*o**3
Find the second derivative of 9*d*s**3 - 2*d*s**2*w + d*s**2 - 7*d*w + d + 3*s**3*w + 497*s*w + 2*s - 1 wrt s.
54*d*s - 4*d*w + 2*d + 18*s*w
Find the second derivative of 5*u**3 - 6754*u**2 + 29*u - 36.
30*u - 13508
What is the second derivative of 167178*c**3*j*w**2*y - c**3*y + c**2*j*w**2 - 10*c**2*j*w*y + 13*c**2*j*y + 37*c*j*w*y - w*y wrt w?
334356*c**3*j*y + 2*c**2*j
Find the second derivative of 4156676*i**5 + 555658*i - 3 wrt i.
83133520*i**3
What is the second derivative of 3*f**3*w**2 - 3*f**3 - 800*f**2*w + 40*f*w - 3*w**4 - 10151*w**3 wrt w?
6*f**3 - 36*w**2 - 60906*w
What is the third derivative of -479*k**3*r*t**2 - 18*k**3*r*t - 8*k**2*r*t**2 - 2*k**2*t**2 + 227*k*r wrt k?
-2874*r*t**2 - 108*r*t
Find the third derivative of v**4 + 37239*v**3 + 123283*v**2.
24*v + 223434
Differentiate -136183*n**2 + 6*n - 20 | {
"pile_set_name": "DM Mathematics"
} |
d 1278?
6
What is the greatest common factor of 3666 and 2032186?
1222
Calculate the highest common divisor of 12 and 74252.
4
What is the highest common divisor of 573 and 516?
3
Calculate the highest common factor of 24576 and 3768.
24
What is the highest common divisor of 8323 and 232183?
287
Calculate the highest common divisor of 1584 and 11792.
176
What is the greatest common factor of 286 and 56122?
22
What is the greatest common factor of 333 and 1773?
9
What is the greatest common divisor of 12 and 40016?
4
What is the highest common divisor of 34343 and 10697?
563
Calculate the greatest common divisor of 156 and 891150.
78
What is the greatest common divisor of 985 and 305?
5
What is the greatest common divisor of 13980 and 9553?
233
What is the greatest common factor of 23923 and 10180?
509
Calculate the highest common factor of 17384 and 492.
164
What is the greatest common divisor of 82 and 334519?
41
Calculate the greatest common divisor of 246863 and 43.
43
What is the greatest common factor of 134170 and 60?
10
What is the greatest common factor of 10 and 48902?
2
What is the greatest common factor of 2117 and 3103?
29
What is the greatest common factor of 220 and 181005?
55
What is the highest common divisor of 7619 and 190?
19
Calculate the greatest common factor of 14 and 2373.
7
What is the greatest common factor of 60 and 34460?
20
Calculate the greatest common factor of 200410 and 20090.
490
What is the greatest common factor of 5831 and 43561?
343
What is the greatest common factor of 4173 and 75?
3
Calculate the highest common factor of 2944 and 24196.
92
What is the greatest common divisor of 131 and 7790963?
131
Calculate the highest common factor of 461690 and 11458.
674
What is the highest common factor of 3311 and 10836?
301
Calculate the highest common divisor of 99 and 183051.
99
What is the greatest common factor of 798 and 190?
38
What is the highest common factor of 5568 and 51264?
192
Calculate the highest common divisor of 60 and 4423920.
60
What is the highest common divisor of 6324 and 32302?
62
What is the highest common divisor of 693 and 86317?
77
Calculate the greatest common divisor of 28 and 243404.
28
Calculate the highest common factor of 64625 and 22.
11
What is the highest common factor of 48 and 463308?
12
What is the highest common factor of 169864 and 272?
136
Calculate the greatest common divisor of 74529 and 1617.
147
Calculate the greatest common divisor of 2603 and 179196.
137
What is the greatest common factor of 1931424 and 3168?
1056
What is the highest common divisor of 1068 and 4860?
12
Calculate the highest common divisor of 25 and 156875.
25
What is the highest common factor of 2 and 26304?
2
What is the highest common divisor of 1810 and 40?
10
What is the greatest common factor of 4645 and 1014468?
929
Calculate the highest common divisor of 105 and 6453930.
105
What is the highest common divisor of 4 and 178?
2
What is the highest common factor of 18 and 18618?
6
What is the highest common factor of 541450 and 36946?
1274
Calculate the highest common divisor of 16490 and 4624.
34
What is the greatest common divisor of 408 and 244137?
51
Calculate the greatest common factor of 29 and 246065.
29
What is the highest common factor of 75163 and 374?
11
What is the highest common factor of 16 and 174472?
8
Calculate the greatest common divisor of 22338 and 2142.
306
What is the highest common divisor of 920 and 1400?
40
Calculate the highest common factor of 400 and 212500.
100
What is the highest common divisor of 5888 and 1088?
64
Calculate the highest common divisor of 390 and 285610.
130
Calculate the greatest common divisor of 3024 and 8127.
189
Calculate the greatest common factor of 192 and 13008.
48
What is the highest common factor of 800 and 793400?
200
Calculate the greatest common factor of 6259 and 33.
11
Calculate the highest common divisor of 819 and 12870.
117
What is the greatest common divisor of 218552 and 272?
136
Calculate the greatest common factor of 498 and 26.
2
What is the highest common divisor of 3664 and 10?
2
Calculate the greatest common divisor of 28 and 1216096.
28
What is the greatest common divisor of 12397 and 483?
161
What is the highest common divisor of 11310 and 234?
78
What is the highest common factor of 79936 and 1152?
64
What is the greatest common divisor of 413059 and 118?
59
What is the highest common divisor of 996923 and 177?
59
What is the highest common divisor of 253597 and 367?
367
Calculate the highest common divisor of 9893 and 65.
13
Calculate the greatest common factor of 544533 and 10527.
957
What is the greatest common divisor of 985 and 1565?
5
What is the highest common divisor of 316 and 44003?
79
Calculate the highest common factor of 7805 and 2975.
35
What is the highest common factor of 19 and 981787?
19
Calculate the highest common factor of 687260 and 140.
140
What is the highest common factor of 1856 and 187514?
58
Calculate the highest common factor of 21 and 106498.
7
What is the greatest common divisor of 1337183 and 127?
127
What is the highest common divisor of 833 and 15778?
49
What is the greatest common divisor of 2208 and 108960?
96
What is the greatest common factor of 53176 and 184?
184
What is the greatest common factor of 3417264 and 16?
16
Calculate the greatest common divisor of 88180 and 820.
20
Calculate the greatest common divisor of 878 and 430220.
878
Calculate the greatest common divisor of 238 and 3213.
119
Calculate the greatest common divisor of 356190 and 3720.
930
What is the highest common factor of 244 and 2704?
4
What is the greatest common divisor of 36 and 302?
2
Calculate the greatest common divisor of 2952 and 360882.
738
Calculate the greatest common factor of 666 and 1692.
18
What is the greatest common factor of 158 and 1446174?
158
What is the highest common divisor of 2436264 and 32?
8
What is the highest common factor of 986 and 1245086?
58
Calculate the greatest common factor of 1242076 and 154.
22
What is the highest common factor of 181080 and 1140?
60
Calculate the highest common factor of 2889 and 7047.
27
Calculate the greatest common divisor of 3048 and 6348.
12
What is the greatest common divisor of 19551 and 1995?
399
Calculate the greatest common factor of 25 and 43220.
5
What is the highest common divisor of 147877 and 38?
19
What is the greatest common factor of 1400 and 21525?
175
What is the highest common factor of 666274 and 266?
14
Calculate the highest common factor of 323268 and 2640.
132
What is the greatest common divisor of 204 and 161432?
68
Calculate the highest common factor of 247008 and 62.
62
Calculate the highest common divisor of 1034797 and 7126.
509
What is the highest common divisor of 755 and 5?
5
What is the highest common factor of 4425 and 11535?
15
Calculate the highest common factor of 64 and 66112.
64
Calculate the greatest common divisor of 15344 and 378805.
959
What is the highest common divisor of 1343830 and 50?
10
What is the greatest common divisor of 23902 and 32930?
74
Calculate the highest common divisor of 84 and 2676.
12
What is the highest common factor of 3 and 20289?
3
Calculate the greatest common factor of 31686 and 894.
6
What is the highest common divisor of 69713 and 28?
7
Calculate the greatest common factor of 1698 and 30.
6
What is the highest common divisor of 42344 and 145256?
536
What is the greatest common divisor of 7802 and 4606?
94
Calculate the highest common divisor of 2 and 530902.
2
Calculate the highest common divisor of 37376 and 4088.
584
What is the greatest common factor of 1849474 and 44?
22
What is the greatest common factor of 38793 and 1351?
193
Calculate the highest common factor of 146 and 19472604.
146
Calculate the greatest common divisor of 2364 and 157994.
394
Calculate the greatest common divisor of 514107 and 81.
81
What is the greatest common factor of 1408 and 36736?
128
What is the highest common divisor of 30628 and 57?
19
Calculate the greatest common divisor of 1389 and 356047.
463
Calculate the highest common factor of 100 and 86630.
10
What is the highest common divisor of 28616 and 1606?
146
Calculate the greatest common divisor of 244271 and 3973.
137
Calculate the greatest com | {
"pile_set_name": "DM Mathematics"
} |
factor of q and 144.
18
Suppose -4*i + 2 - 19 = -5*k, -4*k + 26 = 3*i. Suppose i*g - 1 = 3. Let a = -1043 - -1044. Calculate the greatest common divisor of g and a.
1
Let m(y) = 1 - 5 + 4 + 3*y**2 - 1 - 2*y. Let s be m(-1). What is the highest common factor of s and 12?
4
Let r(t) = t**3 + 6*t**2 - t + 1. Let o be r(-6). Suppose 6 = 3*g - 3. Let h be 51 + (3 - 8) + g. What is the highest common divisor of h and o?
7
Suppose -41 = -z - 3*z - 5*c, 25 = 5*c. Let x be z/(5/(5/2)). Let n be ((-12)/x)/(-3) + 88. Calculate the greatest common factor of n and 9.
9
Let u(p) = p**3 + 4*p**2 - 6*p + 2. Let r be u(-5). Let w(g) = -g**2 + 10*g - 5. Let k be w(7). Let j = k - 9. What is the greatest common factor of j and r?
7
Suppose 0*o - x = -3*o + 89, 2*o = 5*x + 55. What is the highest common factor of o and 15?
15
Let z = -82 - -92. What is the greatest common divisor of 10 and z?
10
Let b be (5 - (17 - 4))*(0 - 1). Let g(n) = -n**3 - 4*n**2 - 3*n - 4. Suppose d = 3*d + 8. Let l be g(d). What is the highest common divisor of b and l?
8
Let r = -1 + 9. Let s = -10 + 50. What is the highest common divisor of s and r?
8
Suppose 4*j - 3*g - 44 = 0, 5*g - 65 = -4*j - 21. Let l = 18 - 6. Let n = l - j. What is the highest common divisor of 2 and n?
1
Let d be 2/((-4)/(-3)*(-15)/(-30)). Calculate the highest common factor of 1 and d.
1
Suppose 4*a + 5*b - 102 = 3*b, -99 = -4*a - b. Calculate the greatest common divisor of 48 and a.
24
Let j be ((-336)/(-18))/((-4)/(-6)). Let s = 499 - 275. What is the greatest common divisor of s and j?
28
Let k = -31 - -35. Calculate the highest common divisor of k and 10.
2
Let l be (0 - (2 - -1)) + 57 + -5. Calculate the greatest common divisor of l and 7.
7
Suppose 10 + 6 = a. What is the highest common divisor of a and 2?
2
Suppose -v + 4*d = -3*v - 16, 4*d = -12. Let k be 73/v*-2 + -1. Let u be (1 - 6/3)*-9. Calculate the highest common factor of k and u.
9
Let q = -4 - -15. Suppose r = -q + 67. What is the highest common divisor of 7 and r?
7
Suppose -2*c + 4*h - 14 = -0*h, 2*c + 9 = 3*h. What is the highest common divisor of c and 69?
3
Let n be (0 + 1)/(1/137). Let p = n + -67. Calculate the greatest common divisor of p and 14.
14
Suppose -f = -2*s + 2 - 0, f = s. Let g be s/2 - (3 + -5). Suppose -2*d = 4*c - 5*d - 21, -4*c - g*d = -27. What is the highest common divisor of 54 and c?
6
Let u(w) = w**3 + 3*w**2 - w - 2. Let l be u(-2). Suppose q + m = 2*q - 74, -12 = 3*m. Suppose -l*i - q = -9*i. What is the greatest common divisor of 21 and i?
7
Suppose -3*o + 12 = 5*x + 636, 0 = -4*o + x - 809. Suppose 54 = -p - 74. Let h = p - o. Calculate the greatest common divisor of 15 and h.
15
Let m be (-2)/6*-13*30. Let h be 3/18 + m/12. Suppose 2 + 3 = 5*p. Calculate the greatest common factor of h and p.
1
Let m = 21 + -6. Suppose 146 = 3*g - 508. Let b = -113 + g. What is the highest common divisor of b and m?
15
Let o = -1 - -397. What is the highest common factor of o and 36?
36
Let k be 79*2 + 2 + -2. Let g = k + -92. Calculate the highest common divisor of g and 6.
6
Suppose -r = 5*m - 457, 0 = r + 3 - 5. Calculate the greatest common divisor of 26 and m.
13
Let x be ((-600)/(-18))/(1/3). What is the greatest common factor of 25 and x?
25
Let y be (0 - 1) + 1 - -5. Let x be y/(0 + 2 + -1). Suppose 4*g - 2 = 4*j - 5*j, 4 = 2*j - x*g. Calculate the greatest common factor of 18 and j.
2
Suppose x = -3*s - 15, 2*x + 95 = -x + s. Let a be x/2*1/(-1). Let d = -1 + a. What is the greatest common divisor of 2 and d?
2
Let a be 5 + -1 + 2 + -2. Suppose 3*x + 60 = 9*x. Calculate the highest common divisor of x and a.
2
Let b(l) = -4 - 2*l - 3*l**3 - l**2 + 3*l + 2*l. Let f be b(-3). Suppose 4*u - 45 - f = 0. What is the highest common divisor of 39 and u?
13
Let x(n) = 18*n - 3. Let l be x(3). Calculate the highest common factor of l and 17.
17
Let o = 69 - 121. Let a = -20 - o. Let y be a - 2 - (1 + -4). Calculate the highest common factor of 3 and y.
3
Let h = -5 - -29. Suppose -3*k + h = -0*k. What is the greatest common divisor of k and 1?
1
Suppose 3*o - 162 = -5*a, 2*o = -2*o - a + 216. What is the greatest common factor of o and 216?
54
Suppose 4*f + f = 35. Calculate the greatest common factor of f and 1.
1
Let v be (-321)/(-2) - (-2)/(-4). Calculate the greatest common factor of v and 64.
32
Suppose 2*l + 12 = 4*k, 4*l - 3 = -5*k - 1. Let n be k/(-4)*0 - -38. What is the greatest common factor of 57 and n?
19
Let b be (-30)/(-4*4/96). Calculate the greatest common factor of 36 and b.
36
Let p = -4 + 8. Suppose p*x + 4*w - 750 = 2*w, x + w - 188 = 0. What is the highest common factor of 17 and x?
17
Suppose -9*q - 10 = -10*q. Calculate the greatest common divisor of q and 25.
5
Let h(l) = l - 1. Let p be h(1). Suppose p = 3*k - 22 - 68. Calculate the greatest common divisor of k and 15.
15
Let d be (-3)/((-6)/8) + 16. What is the greatest common divisor of 50 and d?
10
Let f = -63 - -72. What is the highest common factor of f and 18?
9
Let m(v) = -243*v**3 + 2*v**2 + v. Let u be m(-1). Let p = -127 + u. What is the highest common factor of p and 13?
13
Let i(p) = -3*p - 2. Let m be i(-4). Calculate the highest common divisor of m and 50.
10
Let i(s) = 2*s + 19. Let a be i(-8). What is the greatest common factor of a and 33?
3
Suppose 0 = -v - 3*s + 111, v - 32 = 3*s + 55. What is the highest common divisor of v and 11?
11
Let m be 6 - 4 - (-24 + 1). Suppose -y = 5 - m. What is the greatest common divisor of 30 and y?
10
Let g(m) = -m**2 - 9*m + 1. Suppose -5*b + b = 20. Let d be g(b). Calculate the highest common factor of 63 and d.
21
Suppose -3*m = 2*r - 58, 89 = 4*m + 4*r + r. Calculate the greatest common divisor of m and 40.
8
Let g(m) = 2*m**3 + m**2 - 2*m. Let u be -17 - -3*6/9. Let h be (-27)/u - (-2)/10. Let y be g(h). Calculate the highest common factor of y and 16.
16
Suppose s = 5*s. Let j = s + 1. Calculate the highest common factor of j and 8.
1
Let m be 28/6 - 2/3. Let q = 76 - m. What is the highest common divisor of 8 and q?
8
Suppose -2*g - 3*p - 29 = -0*g, 4*p = -12. Let y = g + 14. Let j be (15/(-2))/((-3)/y). What is the highest common factor of j and 10?
10
Suppose -2*n = 5*g - 302, 3*g = g - 5*n + 125. Calculate the greatest common divisor of g and 12.
12
Suppose -d + 12 = 4*d + 2*i, -i + 5 = 2*d. What is the highest common factor of 16 and d?
2
Let k(g) = g**3 + 3*g**2 - 2*g - 2. Let o be k(-3). Calculate the greatest common divisor of 10 and o.
2
Suppose 109 = 3*t + o - 1, -t + 5*o + 10 = 0. Suppose 5 = 5*s - 10. Suppose -s*u = 7 - 22. What is the highest common divisor of t and u?
5
Let n be 47/7 - (-2)/7. Suppose -4*c = 828 - 2440. Suppose c = 4*s + 151. Calculate the highest common divisor of n and s.
7
Suppose -u - 1 = -4*q - 25, -5*u - q = -57. What is the greatest common factor of u and 24?
12
Let j(s) = 31*s**2 + 3*s + 2. Let o be j(-1). What is the greatest common divisor of o and 20?
10
Let n be -3*(1 - 2) - -2. Let t be 1 + 2/(-6)*-6. Suppose n*z - z = -2*a - 4, -z = t*a - 14. Calculate the highest common factor of 30 and a.
6
Let l(m) = -2*m - 4. Let f be l(2). Let n = f - -15. Calculate the highest common factor of 7 and n.
7
Let k = -47 + 26. Let m = -12 - k. Calculate the greatest common factor of 99 and m.
9
Suppose -4*p = -2*u - 4 - 8, 0 = -3*p + 12. Suppose z = -5*m + 15, -16 = -u*z + 7*m - 3*m. Calculate the highest common factor of 110 and z.
10
Suppose 2132 = 11*p - 838. Calculate the greatest common factor of p and 30.
30
Suppose -z + 57 = 4*y, -3*y + z - 6*z = -30. What is the greatest common divisor of y and 75?
15
Suppose 3*c = f - 95, -5*f - c + 492 = c. Suppose 5*q = l + 66, 0*q - 36 = -4*q + 5*l. What is the greatest common factor of q and f?
14
Let b = -39 - -47. Calculate the highest common divisor of b and 88.
8
Let h be (-9)/(-2)*(-3 - -5). Let d = 16 - 10. What is the greatest common divisor of d and h?
3
Suppose -4*l + 20 = 4. Suppose 5*w - l*u - 119 = 0, 2*u - u = -2*w + 58. Calculate the greatest common factor of w and 18.
9
Suppose -3*n + 64 = n. Suppose -c - 1 = -n. What is the highest common factor of c and 105?
15
Let r(c) = 83*c + 14. Let a be r(2). What is the highest common divisor of a and 36?
36
Let i = 319 - 131. Let n = i + -104. What is the h | {
"pile_set_name": "DM Mathematics"
} |
+ c).
2*c**4 - c**3 + 6*c**2
Expand (2 - 2 + 1)*(2*p + 9 - 9)*(p + 6*p**4 - 3*p**4 - 2*p).
6*p**5 - 2*p**2
Expand (45 - 25 - 22 + 13*n)*(-n**3 + n**2 - n**2).
-13*n**4 + 2*n**3
Expand (0 + 0 + n)*(23 - 13 + 3)*(7 - 3 - 3)*(-2*n + 0*n + 3*n).
13*n**2
Expand (2*u + 0*u - 3*u)*(-1 + 4 + 3) - 2 - u + 2.
-7*u
Expand (3*m + 0*m + 0*m)*(2*m - 6*m + 13 - 14).
-12*m**2 - 3*m
Expand s**2 + s**2 + 0*s**2 + (1 + 2 - 2)*(1 + s - 1)*(s - 2 + 2).
3*s**2
Expand (0*x**2 + 3*x**2 - 2*x**2)*(1 + 0 - 3 + 2*x**2).
2*x**4 - 2*x**2
Expand (-z + 4*z - z)*(-z**3 - 3*z**3 + 3*z**3) + (0*z**2 + z**2 + z**2)*(-z**2 + 2*z**2 + z**2) + 3*z**4 - 2*z**4 + 14*z**4.
17*z**4
Expand (-1 + 1 + 2)*(2*c**3 + 3*c - 3*c)*(1 - 6 + 0).
-20*c**3
Expand (4*y - 5*y + 6*y)*(-y**2 + 2*y**2 + 3*y**2).
20*y**3
Expand (2 - 2 + r)*(4 + 4 - 4)*(0 - 2 + 4)*(-2 - 4 + 3).
-24*r
Expand (0 + 0 - 2)*(-2 - 2 + 3)*(-50 + 8*k + 50)*(-4 + 2*k + 4).
32*k**2
Expand (2 - 2 + s)*(-4*s**3 + 4*s**3 + 14*s**3).
14*s**4
Expand -4*z**2 + 2*z**2 + 4*z**2 + (z - 2*z + 4*z)*(2*z - 2 + 2) + 0 - 3*z**2 + 0.
5*z**2
Expand -f**3 - 3*f**3 + 2*f**3 + 4*f**3 - 3*f**3 + 0*f**3 - f**3 + 2*f**3 + f**3 + (f**2 + 0*f**2 - 2*f**2)*(4*f - f - 2*f) - 3*f**3 - 3*f**3 + f**3.
-5*f**3
Expand (2 + 0 + 1)*(-4 - 2 + 3)*(-4*i - 3*i + 4*i).
27*i
Expand (-16*t**2 - t**2 + 6*t**2)*(-3*t + t + t).
11*t**3
Expand (0 + 3 - 1)*(-13*u + 56 - 56) + 2 - 2 - 2*u + (-4 + 3 + 3)*(1 - 2*u - 1) - 2*u + u + 3*u + u - 1 + 1.
-29*u
Expand (-4 - 1 + 3)*(3 - 4*m - 3)*(-2*m + 4*m - 4*m).
-16*m**2
Expand (0*f + f**2 - 1 + 0*f)*(10*f + 12*f - 9*f) + 0*f**2 + 0*f**2 - 2*f**3.
11*f**3 - 13*f
Expand (3 - 1 - 5)*(-4 + 2 + 0)*(-3*s - 2*s + s)*(s - s - s).
24*s**2
Expand ((0 + 2*t + 0)*(-3*t + 0*t + 0*t) + 0*t**2 + t**2 + 0*t**2)*(0*t**2 - 3*t**2 + 0*t**2).
15*t**4
Expand (-6*j**4 + 2*j**4 + 3*j**4)*(j - 2*j - 2*j + 1 - j - 1 - j + 2*j + j + (2 - 2 - j)*(3 - 5 + 3) + 4*j + 2*j - 4*j - 5*j - 2*j + 3*j).
5*j**5
Expand -4*i**3 + i**3 + i**3 - 2*i**3 - i**3 + i**3 + (-i + i + 2*i**3)*(-2 + 1 - 1) + (2*i**3 + 2*i**3 - 7*i**3)*(3 - 4 - 1) - 6*i + 6*i - 2*i**3.
-4*i**3
Expand (-11*l + 22*l + 17*l)*(2*l + 0*l - 3*l)*(0 + 2 - 4).
56*l**2
Expand (0 - 3 + 1)*(66*b - 34*b + 201 - 31*b).
-2*b - 402
Expand (-1 + 1 - 5*i**4)*(0*i + 5 + 3*i - i).
-10*i**5 - 25*i**4
Expand (-5*d - 30 + 30)*(d - d + 2*d**2 + (-1 - d + 1)*(d - 3 + 3)*(-5 + 0 + 3)).
-20*d**3
Expand (3*t - 2*t - 3*t)*(-1 + 1 - 2*t) + (-9*t - 12 + 12)*(-2 + 2*t + 2).
-14*t**2
Expand -2*x**5 + 2*x**5 + x**5 + (4*x - 2*x - 3*x)*(2*x**4 - 6*x**4 + 2*x**4) - 12*x**5 + 11 - 11.
-9*x**5
Expand -4*x**2 + 0*x**2 + 3*x**2 + (1 - x - 1)*(-5 + 5 + 4*x).
-5*x**2
Expand (-i**2 - 3 + 3)*(i - 2*i - i)*(10 + 9 + 6).
50*i**3
Expand (-2*y - 4*y + 3*y)*(-1 - 4 + 8).
-9*y
Expand (-15*l**2 + 0*l**2 - 4*l**2)*(l**2 - 4 + 4).
-19*l**4
Expand 2*p**5 - 5*p**5 + 4*p**5 + (1 - 1 - 2*p**4)*(-2*p + 2 - 2) + p**5 + p**3 - p**3 - 5*p**5 + 0*p**5 + 4*p**5 + (2*p**2 + p**2 - p**2)*(-1 + 2*p**3 + 1).
9*p**5
Expand ((-t - 9*t - t)*(4*t**2 - 2*t**2 - 5*t**2) - 1 - 2*t**3 + 1 + (3 - 3 - t)*(-1 + 1 + t**2) + 0*t**3 + t**3 - 2*t**3)*(-1 - 3*t + 1).
-87*t**4
Expand 3*l + 2*l + 0*l + (2*l + l + 0*l)*(1 - 1 - 1).
2*l
Expand (-4*c**3 + 4*c**3 - c**3)*(-c + 0*c + 2*c)*(-4 - 1 + 6).
-c**4
Expand w**3 + 0*w**3 + 0*w**3 + (2*w - 3*w - w)*(5*w - w + 0*w)*(4*w + 2*w - 4*w).
-15*w**3
Expand (-5 - 7*m**4 + 5)*(2 - 2 + 2*m + (-2*m + 4*m + 0*m)*(0 + 2 + 0))*(4 + 4 - 2).
-252*m**5
Expand ((-2*c + 0*c + 3*c)*(-2 - 1 + 5) - c - 2*c + 5*c)*(-3 + 0 + 1)*(0 + 2*c**2 + 0).
-16*c**3
Expand (0*m + 0*m + m)*(2 - 2*m - 2) - 16 + 16 - 5*m**2 + 2*m**2 - 4*m + 4*m + (m + 0 + 0)*(2*m + 0 + 0).
-3*m**2
Expand (-z - 2*z + 5*z)*(2 + 0 + 1)*(2*z**2 + z**2 - 4*z**2) + (-3*z**2 - z**2 + 3*z**2)*(-z - 3 + 3).
-5*z**3
Expand (4*z - 4*z - z)*(-6 + 2*z**2 + 6)*(-4*z - 6*z - 3*z) + (-1 + 1 - 2*z**3)*(2*z + 1 - 1).
22*z**4
Expand (2*r**2 - r**2 - 3*r**2)*(-7*r**2 - 3*r**3 - 415 + 415).
6*r**5 + 14*r**4
Expand (-s - s**2 + s + (0*s + 0*s - s)*(2*s + 2*s - 2*s))*(-5*s + 5*s + 6*s**2) + 2*s**4 - 3 + 3.
-16*s**4
Expand k + 0*k + 3*k + (0 + 0 + k)*(3 - 3 + 1).
5*k
Expand (3 + 1 - 3)*(11*u - 11*u - 8*u**3)*(-2*u - 5 + 0 + 3).
16*u**4 + 16*u**3
Expand 3 + 2*y - 3 + (-3*y + 4*y + 0*y)*(-3 + 2 + 0) + 4*y - 5*y + 10*y + (0 - y + 0)*(2 - 3 + 0) - y + 0*y + 3*y + 2*y - 5*y + 2*y.
12*y
Expand 0*a**4 + 543 - 3*a**4 - 545 + (5*a - 2*a - a)*(3*a**2 + a**3 - 3*a**2).
-a**4 - 2
Expand (0 + 0 - 1)*(24*b**2 - 17*b**4 - 24*b**2) + 6*b**4 - 5*b**4 + 0*b**4.
18*b**4
Expand (1 + 5 - 2)*(-q**3 - 2*q**5 - 2*q**4 + 2*q**4).
-8*q**5 - 4*q**3
Expand (-3 - 2*m**2 + 3)*(-1 + 2 - 3)*(-3*m**3 + 11*m**3 + 21*m**3).
116*m**5
Expand -32*z - 18*z - 80*z + 31*z + (2 - 2 - 2)*(-3*z - z + 6*z).
-103*z
Expand (-2*i**4 + 5*i**4 - 2*i**4)*(20*i - 8*i + 15*i) - 2*i**2 + 2*i**2 + i**5.
28*i**5
Expand (-6 + 6 + 9*q)*(5*q - q - q).
27*q**2
Expand -5*c + 2*c + c - c + 0*c + 0*c + (-2 + 2 - 2)*(3 - c - 3).
-c
Expand 6*v - 2*v + 6 - 5*v + (5*v - v - v)*(2 + 3 - 3).
5*v + 6
Expand (30 + 137 - 19)*(2*i**5 - i**5 + 0*i**5).
148*i**5
Expand 4*w**4 - 3*w**4 + w**4 + 2*w**4 + 4*w**4 + 0*w**4 + w**4 - 3*w**4 + 0*w**4 + (-2*w**4 + 2*w - 2*w)*(-1 - 3 + 2).
10*w**4
Expand (-3 - 1 - 2)*(3 - 3 - l**2)*(-l + 4 - 4).
-6*l**3
Expand (6*f + 9*f - 8*f)*(-5 + 3 + 0).
-14*f
Expand (5*g + 0*g - 3*g)*(1 + 2 - 2) + (1 - 2 + 2)*(4*g + 0*g + 0*g).
6*g
Expand (-18 - 8 - 17)*(2*v + 2*v - 3*v).
-43*v
Expand (2*k**3 + 0 + 0)*(5*k - 3*k + 2*k)*(0 + k + 0).
8*k**5
Expand (-j + 0*j - j)*(2*j**2 + j**2 - j**2) + 4 - 9*j**3 - 4 - j**3 + j**3 - j**3.
-14*j**3
Expand (-22*z - 15*z + 19*z)*(1 - 2 + 4)*(1 + 2 - 4).
54*z
Expand (2*i - 1 + 1)*(-31*i + 206 - 206)*(2 - 1 + 1).
-124*i**2
Expand (4 - 3 - 6)*(-1 + 2 + 3 + k).
-5*k - 20
Expand -2*b**3 + 2*b**3 - 3*b**4 + (0*b**2 + 5*b**2 - 2*b**2)*(1 + 2*b**2 - 1).
3*b**4
Expand (-2*b - 1 + 1)*(-b - 8*b + 5 + 10*b).
-2*b**2 - 10*b
Expand (-r - 6*r + 5*r + 3)*(-3*r + 0*r + 4*r).
-2*r**2 + 3*r
Expand (-n**2 + 3*n**2 + 2*n**2)*(-3 + 3 - 3*n) + 3*n**3 - 4*n**3 + 3*n**3.
-10*n**3
Expand (3 + 3 - 7)*(-6 - 18*l**3 + 4 + 0*l**3).
18*l**3 + 2
Expand (-o + 3 - 3)*(3*o - 3*o + 2*o)*(-2*o + 2 - 2).
4*o**3
Expand -4*p - 21*p - p + (-3*p - p + 3*p)*(2 - 5 + 1).
-24*p
Expand (0 + 4 - 2)*(-2 + 2 - 1)*(0*y + 0*y - 7*y).
14*y
Expand 0*x**2 - 4*x**2 + 6*x**2 - 2*x**2 + x**2 + 2*x**2 + (0*x - x + 3*x)*(0*x + x - 3*x) + x**2 + x**2 + x**2 + 43 + 9*x**2 - 43.
11*x**2
Expand (-4 + 6 + 0 - 6*g)*(g**3 + 4*g**3 - 3*g**3).
-12*g**4 + 4*g**3
Expand -6 + 4*v**2 + 6 + 11*v**2 + 8*v**2 - 13*v**2 + v**2 + 0*v**2 + v**2 + (2 - v - 2)*(0 + v + 0).
11*v**2
Expand -4 + 4 - 9*o + 3*o - 4*o - o + (-1 - 2 + 2)*(3 - 3 + o) - o + o - o + 2*o + o - o - o + 5*o - 3*o.
-10*o
Expand (-2*x - x + x)*(0 - 2 + 1) + (-x - 2 - 3*x + 6*x)*(3 - 3 + 7).
16*x - 14
Expand (-c - 2*c + 2*c)*(2 - 2 - 6)*(7*c - 4*c - 2*c).
6*c**2
Expand (5*f - 1 - 4*f + 0)*(-3 - 2 + 7)*(1 + 5 + 1).
14*f - 14
Expand (2*x - 3*x + 2*x)*(10*x - 5*x + 11*x) + 0*x**2 + 4*x**2 - x**2.
19*x**2
Expand (-4*o + 5*o + 8*o)*((2*o**3 - o**3 + 0*o**3)*(-4 + 2*o + 4) + 2*o**4 - 2 + 2).
36*o**5
Expand (z**3 - 6*z**3 + 4*z**3)*(-10*z + 43*z - 7*z).
-26*z**4
Expand (0 + 0 + z**3)*(0*z**2 + z**2 + 5 + 0*z**2).
z**5 + 5*z**3
Expand (-4*u**2 - 20*u - 2 + 20*u)*(-3*u + 2*u - u).
8*u**3 + 4*u
Expand (16*p - 4*p + 24*p)*(-p + 1 - 1)*(3 + 3*p - 3).
-108*p**3
Expand 3*l**3 + 2*l**3 - 4*l**3 + (7*l**3 - 3*l**3 - 2*l**3)*(0 + 2 + 0).
5*l**3
Expand -4*g**5 + 6*g**5 - 5*g**5 + (0*g**4 + g**4 + g**4)*(0*g + 2*g + 0*g) - g**3 + g**3 + g**5.
2*g**5
Expand 2*k + 2*k**2 - 2*k + (3 + 0*k - 5*k + 2*k)*(4*k - 2*k - 4*k).
8*k**2 - 6*k
Expand (-3 - 4 + 4)*(0*k**2 - 16 - 2*k - 2*k**2 + 17).
6*k**2 + 6*k - 3
Expand (-2*l + 2*l**2 + 2*l)*(0*l + 2*l - 4*l)*(4 + 6 - 2).
-32*l**3
Expand (5*d - 3 + 0*d - 3*d)*(0 + 1 + 0)*(-2 + 4 + 0).
4*d - 6
Expand (1 - 1 + 1 + (-3 + 3 + 2)*(3 + 0 - 4))*(-3*k**2 + 4*k - 4*k).
3*k**2
Expand (4 - 1 - 4)*(-1 + 1 - 2)*(-3 + 1 - 5*h**3 + 4*h**3).
-2*h**3 - 4
Expand (0*d**5 - d**5 - d**5)*(-1 - 1 + 4) + 3*d**3 + 2*d**5 - 3*d**3 + 4*d**5 - d**5 - 4*d**5 + 2*d**5 - 4*d**5 - 2*d**2 - 5*d**5.
-10*d**5 - 2*d**2
Expand (-3*d + 7 - 7)*(9*d - 9*d + 12*d**3).
-36*d**4
Expand (0*w + 2*w**3 + 0*w)*(3*w + 0*w - 4*w) - 2 + 2 - w**4 - 2*w**4 + 0 | {
"pile_set_name": "DM Mathematics"
} |
.31, -3?
-2
What is the fourth biggest value in 4.767, -0.5, 0.4, -1?
-1
Which is the fourth biggest value? (a) -0.02 (b) 2/13 (c) 1 (d) -7/33
d
Which is the fifth biggest value? (a) -1024 (b) -2/11 (c) -1 (d) 3/8 (e) 1/6 (f) 1
c
What is the third biggest value in 5, 1, -4, -729, -2/9?
-2/9
Which is the biggest value? (a) 25 (b) -1626 (c) 2/5 (d) -3
a
What is the second smallest value in -16, -1, 5, -6?
-6
Which is the smallest value? (a) -1280 (b) -5 (c) 0.02
a
Which is the biggest value? (a) 1/4 (b) -1 (c) -0.2 (d) -1/187 (e) -4
a
Which is the fourth biggest value? (a) -5/322 (b) 2/7 (c) 9 (d) 0.4 (e) -0.3
a
What is the smallest value in -69.1, 2/11, 1/5, -22, 1?
-69.1
Which is the fourth biggest value? (a) 5 (b) -21.89 (c) 4 (d) 6/7 (e) 6
d
Which is the third smallest value? (a) 1/5 (b) 86 (c) 56 (d) -1/2
c
Which is the second smallest value? (a) -5 (b) 14 (c) 2463
b
What is the biggest value in 0.06, 726.7, 35?
726.7
Which is the third smallest value? (a) -36/37 (b) -0.5 (c) -107
b
Which is the second biggest value? (a) -56256 (b) 2/3 (c) 1
b
Which is the fifth smallest value? (a) -2 (b) -0.16 (c) -1/3 (d) -0.1 (e) -0.311
d
Which is the fourth biggest value? (a) -4 (b) -2/7 (c) -2794 (d) 0.3
c
What is the second smallest value in -0.058, -5, 2, -19, 0, 1/5?
-5
Which is the third biggest value? (a) 0.22 (b) 154 (c) -10/7
c
Which is the third biggest value? (a) 97 (b) 14/41 (c) -0.01
c
What is the biggest value in 0.2, 1.083, 1/2, -15?
1.083
What is the second biggest value in 2468, 18, -0.3?
18
Which is the fourth smallest value? (a) 1/2 (b) -8 (c) -752 (d) 10
d
Which is the second biggest value? (a) 4.8 (b) -5 (c) -1/31
c
What is the third smallest value in -3, -0.21, -5/49?
-5/49
Which is the second smallest value? (a) 0.32 (b) -17.8 (c) 1/6
c
What is the third biggest value in -381, 249, -1/3?
-381
What is the third biggest value in 4.9, -16, -2/3, -4, -7/5?
-7/5
Which is the third smallest value? (a) -0.004 (b) -0.1 (c) -2/19 (d) 0.2 (e) -11/5
b
What is the second biggest value in -34, -0.2, 2, -0.5, -1, 5?
2
What is the second smallest value in -5/3, -32, -0.2, -0.06, 2?
-5/3
Which is the second smallest value? (a) 4 (b) 0.6 (c) -3/2 (d) 661 (e) 1/8
e
What is the third smallest value in 1, 1/10, -2.26, 4?
1
What is the fifth smallest value in -32, -4, -1/4, -334, 6, -0.5?
-1/4
What is the fifth biggest value in 0.5, -0.02, -15/106, 8, 1?
-15/106
What is the second smallest value in 1, 370, -0.08, -0.21?
-0.08
Which is the third biggest value? (a) -1 (b) 0.1 (c) 1/651
a
Which is the biggest value? (a) 3 (b) -301 (c) -43 (d) 5
d
Which is the second smallest value? (a) 0.1 (b) 0.3 (c) -2/15 (d) -437 (e) 1/5
c
What is the fifth smallest value in -5/7, -0.5, -0.2, 32, 2/5?
32
Which is the third smallest value? (a) -4/3 (b) 4 (c) 8 (d) -0.6
b
What is the third smallest value in -3, 307, 3?
307
What is the second biggest value in 2.68, -30, -0.1?
-0.1
What is the second biggest value in 4/7, -2/7, 0.075, -0.04, 0.3?
0.3
Which is the smallest value? (a) -6/13 (b) -2 (c) -5 (d) 26/3 (e) 0 (f) -0.9
c
What is the third smallest value in -8, 0.5, 0.25, -13, 2/5?
0.25
Which is the fourth biggest value? (a) -0.03 (b) 3.319 (c) 2 (d) -4 (e) -3
e
What is the second smallest value in 3.2, -2/7, 1, 0.114?
0.114
Which is the biggest value? (a) -10 (b) -82067 (c) -5
c
Which is the third biggest value? (a) -0.01 (b) -98 (c) 2 (d) -0.3 (e) -0.1
e
Which is the fifth smallest value? (a) -92 (b) 21 (c) -1 (d) -0.3 (e) 3
b
Which is the smallest value? (a) -1 (b) 1832.7 (c) 2/17
a
Which is the sixth biggest value? (a) -3/8 (b) -61 (c) -0.8 (d) -0.06 (e) -0.1 (f) 0.1
b
Which is the third biggest value? (a) -4 (b) -0.1 (c) -9 (d) -3/8 (e) -55
a
Which is the second biggest value? (a) -2 (b) -51 (c) -36 (d) 0.1 (e) -3
a
Which is the smallest value? (a) 0.5 (b) 1/4 (c) -0.076 (d) 6 (e) 0
c
Which is the fourth smallest value? (a) -939 (b) 4 (c) 10 (d) 0 (e) 5
e
What is the fourth smallest value in 80, 3, -2/19, -2/7, 0.3?
3
What is the second biggest value in -0.032, 0.4, -0.4, -1, 47.4?
0.4
What is the biggest value in 2/27, 3/7, -1257?
3/7
What is the biggest value in 4, -18, -257?
4
Which is the second smallest value? (a) -0.1 (b) 51 (c) 0 (d) 3/5 (e) 44/15
c
Which is the second smallest value? (a) 1/3 (b) 0 (c) -1 (d) 11 (e) -14
c
Which is the third biggest value? (a) 0.3 (b) 4 (c) -414
c
What is the second biggest value in -2/17, 3, -337?
-2/17
Which is the smallest value? (a) 3/7 (b) -0.2 (c) -15 (d) 4/7 (e) 20
c
What is the third biggest value in 1523, -2/5, 0.04, -11?
-2/5
What is the second smallest value in 4, 3, -11, -0.1015, -5?
-5
What is the smallest value in -5, 3/7, 266/5, 1141?
-5
Which is the smallest value? (a) -5 (b) 10/643 (c) 1.1 (d) 5
a
What is the second smallest value in -0.2, -3, -2/19, 2/3, 0.5, 119?
-0.2
Which is the smallest value? (a) -3 (b) 4/9 (c) 0.1 (d) -7 (e) 35
d
Which is the smallest value? (a) -5 (b) 0.2 (c) -3 (d) -64
d
What is the smallest value in -47, 0.1, -2/35?
-47
Which is the fifth biggest value? (a) 2/11 (b) -5 (c) -0.07 (d) -21 (e) 9 (f) 1
b
What is the fourth smallest value in 4, -0.6, -0.01, -2/9, 5, -50?
-0.01
What is the third smallest value in -0.2, -4, 0.05, 1/5, 4, -1509?
-0.2
Which is the fourth smallest value? (a) -1 (b) -100 (c) 0.21 (d) -3
c
Which is the second smallest value? (a) 0.3 (b) 3/53 (c) -0.3
b
Which is the third smallest value? (a) -4/7 (b) -38 (c) 3/100
c
Which is the sixth smallest value? (a) 0.5 (b) -1/4 (c) 0.7 (d) 7 (e) -1/7 (f) -0.1
d
What is the second biggest value in 0, 1, -0.102, 2/11, -9?
2/11
What is the third biggest value in 266, 1/2, -3, 7/4?
1/2
Which is the second smallest value? (a) -62 (b) 5 (c) -2.193 (d) -0.04
c
What is the second biggest value in 0.3, 0.1, -211.03, -2?
0.1
What is the third biggest value in 1/3, -0.1, 8641?
-0.1
What is the smallest value in -2/117, 2, -1, 0.6, 0, 0.2?
-1
What is the smallest value in -5, 2, 88, -201, 1?
-201
What is the third smallest value in -1065786, 3/7, 0.2, 3?
3/7
Which is the third biggest value? (a) 0.09 (b) -0.0038 (c) -0.19
c
What is the fourth biggest value in -4, 0, -0.1, -2, 3.3, 3/83?
-0.1
What is the smallest value in -126, -5, 46, -3?
-126
What is the fifth biggest value in 2/3, 1/6, 291/4, 4/7, -1/7?
-1/7
Which is the smallest value? (a) 0.603 (b) 15 (c) -1/2
c
Which is the fourth smallest value? (a) -4.4 (b) -4 (c) -0.01 (d) -20
c
Which is the second biggest value? (a) 5 (b) 4222 (c) 1 (d) -10
a
Which is the smallest value? (a) 7 (b) -1601/6 (c) 0.2
b
Which is the smallest value? (a) -22/3 (b) 4206 (c) 0.3
a
Which is the fifth smallest value? (a) 48 (b) -2 (c) -5 (d) 38 (e) -1/6
a
Which is the second smallest value? (a) 2/7 (b) 0.4 (c) -2/117 (d) -44
c
What is the third biggest value in -0.0108, 4, 30/7?
-0.0108
What is the second smallest value in 0.5, 2/11, 0.15, -41, 0.07, 0.3?
0.07
Which is the fourth biggest value? (a) -0.2 (b) -12 (c) 3 (d) 173 (e) -0.03
a
What is the smallest value in -17/7, 29, 7/4, 3?
-17/7
What is the smallest value in -5, 2/99, 2/9, -1398, 5?
-1398
Which is the third biggest value? (a) 2/9 (b) 1/5 (c) -101 (d) -1
d
What is the smallest value in -3/5, -2/3961, 0?
-3/5
Which is the third biggest value? (a) -0.3 (b) 0.05 (c) 0 (d) 0.001 (e) 0.2
d
Which is the third biggest value? (a) -2/15 (b) 2 (c) 3 (d) 292 (e) -3/7
b
What is the second smallest value in -1, 0.1, 1.6, -630?
-1
Which is the fourth biggest value? (a) 2/11 (b) -3/4 (c) 1/2 (d) -417 (e) 5/4
b
Which is the smallest value? (a) -2/7 (b) -5/12 (c) -55/4
c
Which is the fifth smallest value? (a) 9 (b) 2/7 (c) -16 (d) -2/3 (e) 0.5
a
What is the third biggest value in 5, -1083, 6?
-1083
Which is the third biggest value? (a) -33 (b) -2/15 (c) -5 (d) 1/4 (e) -0.3 (f) 12/47
b
Which is the fourth biggest value? (a) -3 (b) -5 (c) 1653 (d) -1/4
b
Which is the second smallest value? (a) -0.1 (b) -0.45 (c) -2.1 (d) -2.18
c
Which is the smallest value? (a) 439 (b) 3 (c) | {
"pile_set_name": "DM Mathematics"
} |
igit of a?
2
Suppose -5*b - 2*k + 13690 = 0, -4*b + 3637 + 7343 = -4*k. What is the tens digit of b?
4
Suppose -4*j + 4*c = -120, 0*j + j + 4*c = 50. Suppose -3*q - 5*h + 86 = 0, 3*q + 3*h = 2*q + j. Let s = 23 - q. What is the units digit of s?
1
Let d = 322 + 301. What is the tens digit of d?
2
What is the hundreds digit of (-9)/(-12) + 5653/4?
4
Let q(c) = 4*c**2 - 5. Suppose 0 = 3*i + 2*i - g + 9, -3 = -i + 5*g. What is the units digit of q(i)?
1
Suppose -2*q = 3*f, 2*f = -3*f. Suppose q = -5*l + l. Suppose 5*a - 78 = -l*a - i, 62 = 4*a + i. What is the tens digit of a?
1
Let u(s) = -5*s**2 + 63*s - 2. Let c be u(16). Let y = 46 - c. What is the hundreds digit of y?
3
Let c(m) = -86*m - 306. What is the tens digit of c(-11)?
4
What is the hundreds digit of (-2 - 1)/(1824/1832 - 1)?
6
Suppose -11*w + 10*w = 5*a + 1007, a + 4*w = -190. Let v = -121 - a. What is the tens digit of v?
8
Let t be 657/3 + 5 - (-1 - -3). Let r = 316 - t. What is the units digit of r?
4
What is the hundreds digit of (5 + (-44)/(-12))*183?
5
Suppose 591 = -5*p + 81. Let n = 247 + p. What is the hundreds digit of n?
1
Let a(y) be the third derivative of -y**4/8 - 4*y**3/3 - 7*y**2. Let q be a(7). Let r = q + 36. What is the units digit of r?
7
Suppose -5*y = -228 - 397. Let t = -78 + y. What is the units digit of t?
7
Let z = -172 - -795. What is the tens digit of z?
2
Suppose -4*s - 24 = -0. Let c(o) = -o**2 - 9*o + 8. What is the tens digit of c(s)?
2
Let u = 900 + 134. What is the thousands digit of u?
1
Let s = 50 + -101. Let p be (0 + -1)/(3/69). Let d = p - s. What is the tens digit of d?
2
Suppose 22*j = 1573 + 5489. What is the hundreds digit of j?
3
Let o = -258 + 915. What is the units digit of o?
7
Let t(d) = d**2 - 9*d - 18. Let o be t(-4). Suppose -o = -13*c + 70. What is the units digit of c?
8
Let s = 4 + 7. Suppose 0 = v - s*v + 1050. What is the tens digit of v?
0
Suppose 47*y = 40*y + 3997. What is the units digit of y?
1
Suppose -157*t = -182*t + 49225. What is the tens digit of t?
6
Suppose 9*y = 154 + 44. Suppose -y = -s - 4. What is the units digit of s?
8
Suppose -21 = -5*a - 2*n, -5*a - 5*n = -3*a. Suppose -a*u + 213 = -122. What is the units digit of u?
7
Suppose 0 = -i + 2*d + 2815, -6615 = -3*i - 5*d + 1863. What is the units digit of i?
1
Let l(v) = -82*v + 666. What is the tens digit of l(5)?
5
Suppose -753 = -5*t - 3*a + 1636, 2391 = 5*t + 2*a. What is the hundreds digit of t?
4
Suppose 0 = 3*q - 2*j - 6, -3*q - 4 = -7*q + 4*j. What is the tens digit of 3/(-2) - (-606)/q?
5
Suppose 0 = -2*f - 4*l + 2, -5*f = 2*l - 13. Suppose -2*z + 2*k + 102 = -120, f*k + 563 = 5*z. What is the hundreds digit of z?
1
Let g = -9 - -10. Suppose -y + 3 = g. Suppose y*v = 33 - 1. What is the units digit of v?
6
Suppose -5*o + 300 = 3*k, 4*k - 7*o + 2*o = 365. Suppose -46 - k = -3*q. What is the units digit of q?
7
Let f(x) = x**2 + 2*x - 17. Let m = 33 + -13. Let d = 13 - m. What is the tens digit of f(d)?
1
Let j = 47 - 43. Suppose 30 = j*w - 26. What is the units digit of w?
4
Let p = 4 + -8. Let v(m) = -m**2 - 4*m - 1. Let w be v(-3). What is the units digit of (w - 6)*2/p?
2
Let g be 1/(1/(-6)*-2). Suppose 4*p - 2*j = 28, p - 8 = g*j + 9. What is the units digit of p?
5
Let n(g) = g**2 - 13*g + 13. Let m be n(12). Let w = m + -1. Suppose -6 = -3*o - w. What is the units digit of o?
2
Suppose -2*a - 3*c + 131 = -151, 3*a - 438 = 3*c. Let l = 494 + -338. Suppose -l - a = -4*t. What is the units digit of t?
5
Let y(a) = a**2 - 7*a - 14. Let d be y(9). Suppose -76 = -z + 5*o - 0, d*z = 3*o + 304. What is the tens digit of z?
7
What is the tens digit of (-5)/4 + 111*200/96?
3
Let r be ((-1)/2)/((-10)/40). Let g be 279/5 + r/10. Let m = g + -39. What is the units digit of m?
7
Let b be -7*(-2)/(6/(-3)). Let z = b - 3. Let s(q) = q**2 + 5*q + 2. What is the units digit of s(z)?
2
Suppose 0 = -k + 3*k + 8, 2*d + 5*k - 122 = 0. What is the units digit of d?
1
Suppose -l = -4*b + 7539, b - 2*l + 7*l = 1890. What is the thousands digit of b?
1
Suppose -8 = -4*o - 2*t, -t = o - 4*o - 4. What is the tens digit of 4/26 + (6696/78 - o)?
8
Suppose -11*b = 90 + 9. What is the units digit of -9 + (-2250)/b + 1*3?
4
Let l(i) = i - 3*i - 3*i - i**3 - 4*i - 10*i**2 - 6. Let v be l(-9). What is the units digit of v*2*2/(-2)?
2
Let h(f) = 82*f - 96. What is the tens digit of h(3)?
5
Suppose -2*n + 4*r = -0*n - 2, 5*r + 10 = 5*n. Suppose 2*h = 5*b - 51, 0 = b - 4*h - n. What is the units digit of b?
1
Suppose -2*m + 7015 = 5*g, -3*g + 2777 = -g - 5*m. Suppose g + 335 = 8*v. What is the units digit of v?
7
Suppose 25 = -c + 2*s + 331, 5*c - 1541 = -s. What is the units digit of c?
8
Let c(f) = 49*f - 86. What is the thousands digit of c(31)?
1
Let x(v) = 10*v**3 - v**2 + v. Let r be x(1). Let t = 15 - r. Suppose 2*l = -3*l + t. What is the units digit of l?
1
Suppose -4*x + 2*x + 3*y = -4162, 3*y = 12. What is the hundreds digit of x?
0
Let c = 320 - 212. Suppose 6*f - 2*f - c = 0. What is the tens digit of f?
2
Let w(k) = -k + 16. Let u be w(-13). Let s = 67 + u. Suppose 5*c - 2*c = s. What is the tens digit of c?
3
Suppose 0 = 4*o - p - 35, -4*o + 3*p + 44 = -p. Suppose -o*c = -3*c. Suppose -r + 14 - 9 = c. What is the units digit of r?
5
Suppose 32*d = 46064 + 15120. What is the thousands digit of d?
1
Suppose 2*w + 5*y = 612 + 913, -762 = -w - 2*y. What is the tens digit of w?
6
Let a(u) = 5*u**2 - u + 62. Let f be a(11). Suppose 3*j = -j + f. What is the units digit of j?
4
Let k(t) = 3*t + 1. Let w be k(-1). What is the tens digit of (-149)/w + (-27)/(-18)?
7
Let a = 1569 + -662. What is the tens digit of a?
0
Let h(o) = -o - 3 + o**3 - 2*o - 3*o**3 - 2*o. What is the hundreds digit of h(-4)?
1
Let m(i) be the second derivative of -i**5/20 - i**4/4 - i**3/2 - 3*i**2 + 15*i. What is the tens digit of m(-5)?
5
Suppose 0 = 3*b - 813 - 5553. What is the units digit of b?
2
What is the tens digit of 121 + 2*(-5)/10*-4?
2
Let q(p) = p**3 + 28*p**2 + 25*p + 295. What is the hundreds digit of q(-24)?
9
Suppose -14*l + 10887 = 2207. What is the hundreds digit of l?
6
What is the hundreds digit of (1 + 246/1)*1?
2
Let j be ((-198)/(-24))/((-1)/4). Let z = 15 - j. What is the tens digit of z?
4
Suppose -5*h - 1852 - 1053 = -5*l, -5*h + 1751 = 3*l. What is the tens digit of l?
8
Let s = 777 - 583. What is the hundreds digit of s?
1
What is the hundreds digit of 0 + -17 + 8 - -3263?
2
Suppose 5*u - 2*b + 126 = 0, -4*u - 2*b - 87 = b. What is the tens digit of -43*(u/30)/(2/5)?
8
Suppose c - 4*x - 91 = 0, -9 = 5*x - 2*x. Suppose -2*m = 3*n - c - 40, 2*m + 2*n = 122. What is the units digit of m?
4
Let s(m) = -m**3 + 9*m**2 + 12*m - 18. Let h be s(10). What is the units digit of 2/(4/(-2)) - (-112)/h?
5
Let w = 17 - 22. Let j(i) = -i**3 - 4*i**2 + 3*i + 2. Let m be j(w). What is the tens digit of m - (-7)/(28/(-8))?
1
Let h = -61 + 64. Suppose -4*s - h*g = -187, -183 = 2*s - 6*s + g. What is the units digit of s?
6
Suppose 12*t + 24332 = 40*t. What is the hundreds digit of t?
8
Let y(g) be the first derivative of -g**5/60 - 2*g**4/3 - 5*g**3/2 - g**2/2 - 2. Let m(v) be the second derivative of y(v). What is the tens digit of m(-13)?
2
Suppose -33*r = -19*r - 18158. What is the units digit of r?
7
Let j(g) = -g**2 + 8*g - 2. Let o be j(6). Suppose -o*m + 779 = -281. What is the hundreds digit of m?
1
Let n = 414 + 812. What is the tens digit of n?
2
Suppose 2*t = 7*t - 20. Suppose 3*o + 2*h = -3*h - 23, o - 3*h + 17 = 0. What is the units digit of t/((-24)/o + -2)?
2
Let m be (-8)/(-10)*30/(-12). What is the tens digit of (-394)/(-6) - m/6?
6
Suppose -t - 4 = 0, 2*p + 3*t = -t - 46. Let n = -12 - p. Suppose 0 = -n*m - 2*v - v + 135, -4*m + 3*v + 173 = 0. What is the units digit of m?
4
Suppose x = -w + 2448, -23*w = -24*w + 4*x + 2443. What is the hundreds digit of w?
4
Let h(q) = q - q**3 + 11*q**2 - 22*q**2 + 2 + 7*q**2 - 35. What is the tens digit of h(-6)?
3
What is the hundreds digit of ((-429)/(-26))/11*2302?
4
Let a(g) = -5*g - 1. Let y = -68 + 58. What is the tens digit of a(y)?
4
Suppose -5*b = 2*r - 1573, -4*b + 4*r = 5*r - 1259. Suppose -2*k + 114 = 2*x, 0 = -5*x - 0*k + 5*k + b. What is the tens digit of x?
6
Suppose 4565 = 3*q + k, -3*k = -8*k - 20. What is the thousand | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -a + 5*j + 10 = a, -2*j - 4 = 4*a. Sort a, k, -1 in increasing order.
k, -1, a
Suppose 6*r + 204 = -36. Let u be (-2)/(-9)*24/r. Put 1, u, -7/4 in increasing order.
-7/4, u, 1
Let l = 1068 - 1066.8. Sort l, -2/13, 6 in descending order.
6, l, -2/13
Suppose 2*c + 3 = -3. Let z(m) = m**3 - 6*m**2 - 20*m + 115. Let u be z(6). Sort u, 4, c in ascending order.
u, c, 4
Let v = 101 + -100. Put 1/3, 2/5, 2/11, v in descending order.
v, 2/5, 1/3, 2/11
Let d be (-2)/(-10)*1*-1. Let b = -67 - -64.42. Let a = b + -0.42. Put a, d, 0.2 in descending order.
0.2, d, a
Let q(g) = 8*g + 38. Let p be q(-6). Put p, 5, -2 in ascending order.
p, -2, 5
Let x = -4 - -11. Let b(c) = c**3 - 6*c**2 - 8*c + 4. Let t be b(x). Suppose 0 = -5*j + h + 29, 4*j + 6*h - 28 = 2*h. Put -4, j, t in ascending order.
-4, t, j
Suppose -4*n = -2*r + 18, -5*r - 4*n = n + 15. Let v(y) = -y**2 + 6*y + 12. Let h be v(8). Let w be ((-5 + 4)*h)/((-2)/3). Sort -3, w, r in ascending order.
w, -3, r
Let g(n) = 2*n - 5. Let d be g(3). Let s be d - -20 - (-21 - -17). Suppose 0 = -6*z + z - s. Put 1, z, -4 in increasing order.
z, -4, 1
Let u = 2 + -3. Let v = 4497 + -4491. Sort v, 5, u.
u, 5, v
Let x = 3.35 - 7.33. Let m = 0.02 - x. Suppose -4*z - 11 = 3*b, -1 = 4*b + z + 5. Sort b, m, 0.5 in ascending order.
b, 0.5, m
Let v be (-12)/7 + 8/(-28). Let t(n) = -9*n + 3. Let f be t(v). Put -1, 1/3, f in decreasing order.
f, 1/3, -1
Let y = -934.09 - -938. Let o = -0.09 - y. Sort 0.2, -8, 2/7, o.
-8, o, 0.2, 2/7
Let t(g) = -6*g - 42. Let x be t(-12). Sort 3, -4, 4, x in ascending order.
-4, 3, 4, x
Let i = -2859/217 + 92/7. Sort 1/12, 0, i in decreasing order.
1/12, 0, i
Let o = 24 + -21. Suppose 0*d - 4*d = o*k + 8, 0 = 4*k + 16. Sort 2, d, -2/19 in increasing order.
-2/19, d, 2
Let p = -2 - -1.9. Let u = -60.1 + -16.9. Let c = u + 72. Put p, c, 8 in decreasing order.
8, p, c
Let b = -3 - 1. Let n(g) = g. Let r(y) = -y + 3. Let p(q) = 4*n(q) - r(q). Let l be p(1). Sort l, b, 3.
b, l, 3
Let q(m) = -m**3 - 6*m**2 + 2*m + 15. Let w be q(-6). Suppose -5*a - 7 = 3*z + w, 3*z - 20 = a. Put z, 0.1, 33 in descending order.
33, z, 0.1
Let j = -2.8 + 3. Let g = 0.802 + -4.092. Let x = g - -0.29. Sort x, 1, j in decreasing order.
1, j, x
Let o = 1.68 - 1.78. Suppose -i + 3*i = 16. Let u = 1 - 1.4. Sort i, u, o in increasing order.
u, o, i
Let v(g) = -g**3 + 25*g**2 + 27*g + 10. Let i be v(26). Let q be (15/10)/(3/4). Sort i, 0, q, 3.
0, q, 3, i
Let g = 33 - 39. Let r be 1/(-3) + ((-4)/g)/(-1). Put 2, 7, r, -2 in descending order.
7, 2, r, -2
Let m be -3*(3/18 + 0). Let l = 2.4 + -2.8. Put 10, m, l in increasing order.
m, l, 10
Suppose 0 = 2*z - 23 - 7. Suppose -5*x = -5*v, -7*v = -3*v + x + z. Let y(u) = -2*u**2 - 4*u + 1. Let i be y(v). Sort -1, 6, i in decreasing order.
6, -1, i
Let m = -13 + 13. Suppose m*s = 2*t + s - 11, 3*s - 28 = -5*t. Suppose -2*d + 7*d + t*l + 30 = 0, 0 = 3*d - 2*l + 13. Put 5, 2, d in descending order.
5, 2, d
Let c = -2531/3 - -844. Put 5, 0.3, c, -2/11 in decreasing order.
5, c, 0.3, -2/11
Let x = -9 + 15. Let l = -198 + 201. Put x, -4, l in increasing order.
-4, l, x
Suppose -2*q + 44 = -5*g, -3*g + 3*q = -4*g - 2. Let l(v) = 3*v + 20. Let r be l(g). Sort -5, r, -2 in ascending order.
-5, r, -2
Let c(z) = 5*z - 1. Let k be c(-9). Let t = k + 137/3. Let f = 5.4 - 0.4. Put t, f, -4 in increasing order.
-4, t, f
Suppose -3*r - 4*o = 8 + 12, 0 = -5*r - 3*o - 26. Let v(k) = 17*k**3 - k**2 - k + 1. Let a be v(1). Suppose 0*y = 4*y - a. Sort y, -5, r in descending order.
y, r, -5
Let f = -0.331 + 0.531. Sort 0.074, f, 1/3, -0.5 in ascending order.
-0.5, 0.074, f, 1/3
Let l be (0/(1/(-1)))/1. Let t = 20186 - 20191. Put 4, -2, l, t in decreasing order.
4, l, -2, t
Let j = -1 - -2. Let w be (2/3 + 184/80 - 3)*-4. Sort w, -5, j.
-5, w, j
Let t(o) = -o**2 + 3*o + 2. Let m be t(3). Let n(b) = b**2 + 4*b - 3. Let s be n(-5). Let h be (-1)/s + (-84)/24. Put m, 0, h in descending order.
m, 0, h
Let v(l) = -l**2 - 16*l + 40. Let t be v(-18). Let s be 20/((-4)/(-2) - t). Sort 1, 0.5, s.
s, 0.5, 1
Let n be (4/(-2))/(-4)*(-33 + 23). Let l = -0.3 + 1.3. Sort l, -3, n in descending order.
l, -3, n
Let k = -1990 + 1925. Sort k, 3, 2 in increasing order.
k, 2, 3
Let j = 1145 - 1142. Put j, -187, -4/7 in decreasing order.
j, -4/7, -187
Let k(a) = -11*a - 229. Let x be k(-21). Suppose 5*i + 5 + 51 = 3*z, -4 = i. Let g be ((-2)/z)/(6/4). Put g, x, 0.4 in descending order.
x, 0.4, g
Let x = 9/2 + -4. Let j = 0.197 + 0.003. Let r = j + -3.2. Sort x, r, 5 in increasing order.
r, x, 5
Let i be (-10)/(-3)*(-3)/(-2). Suppose 0 = -2*y, i*y = -3*t - t. Suppose 2*s - 1 = -t*g - g, -5*g - s = -14. Sort g, 5, -5 in descending order.
5, g, -5
Let u = 2.82 - 5.82. Sort 3/2, u, 8, -5 in descending order.
8, 3/2, u, -5
Let j = 0.1018 + -0.1018. Let b = -0.61 - -0.6. Let g = 3.01 + b. Sort 0.5, j, g in increasing order.
j, 0.5, g
Let i(c) = -c**2 + 6*c - 10. Let t be i(4). Suppose -l - 1 + 0 = 0. Let f = l + 3. Sort 0, t, f in descending order.
f, 0, t
Let n(s) = 2*s**2 - 1. Let r be n(-1). Let p be ((-7)/42)/(1/(-4)). Put r, -0.1, p, -1 in descending order.
r, p, -0.1, -1
Let n = -0.3 - -1.3. Let o = 15 + -15.5. Let p = n + o. Put p, 0.2, -3 in increasing order.
-3, 0.2, p
Let o = 0.1811 + -0.0011. Sort -5, 3, 1/5, o.
-5, o, 1/5, 3
Let v(b) = -2*b**3 + 3*b**2 + b - 2. Let z be v(2). Let d = z - -11. Let l be (-4)/d - (-117)/21. Put l, -10, 0 in descending order.
l, 0, -10
Let m(d) = -d**3 - 6*d - 1. Let t be m(0). Sort t, 5, 1, -19 in increasing order.
-19, t, 1, 5
Let z be 1*-2 + (-27)/(0 - -9). Sort z, -1, 1, 7 in increasing order.
z, -1, 1, 7
Let c be (1 - 0/1)*7. Let s = c + -4. Sort -5, -6, s in descending order.
s, -5, -6
Let q be -3*6*(-5)/(-30). Sort q, -2, 5.
q, -2, 5
Let p be ((-1)/2)/(1/(-60)). Suppose -h - 66 = 5*z + 2*h, 3*z + 5*h = -p. Let w be ((-36)/z)/(-4)*5. Sort w, -1, 5 in decreasing order.
5, -1, w
Let m(c) = 2*c**2 - 6*c + 4. Let k be m(2). Let v(q) = -q**2 + q - 5. Let j be v(k). Sort 0, 5, j, -3 in ascending order.
j, -3, 0, 5
Let s = 1.089 + 2.711. Sort 5, 3/4, 0, s.
0, 3/4, s, 5
Let k = -43.2 - -48. Let x = -0.8 + k. Put 5, 1, x, 0.2 in decreasing order.
5, x, 1, 0.2
Let a(y) = -3*y**2 - 2*y - 6. Let j be a(-4). Let w be 3/(-7) - j/(-7). Put w, -2, 1 in decreasing order.
1, -2, w
Suppose f - 17 = 5*r, r + 7 = 6*f - 4*f. Suppose -w = -3*w + f, 5*c + w = -24. Sort c, 0, -0.1.
c, -0.1, 0
Let q = -0.526 + 0.406. Put q, -7, -0.4 in descending order.
q, -0.4, -7
Suppose -11*a + 239 + 25 = 0. Put a, -0.5, -2 in decreasing order.
a, -0.5, -2
Suppose 0 = -2*d + 3*d. Let i be -2 - d - (0 + -4). Sort 3, 5, i.
i, 3, 5
Suppose 276*u = 272*u + 2*m - 14, -1 = -u - m. Put 7, -3, u in descending order.
7, u, -3
Let m = -33 - -35. Let h = -139 + 138.5. Sort 0, h, m in descending order.
m, 0, h
Let v = 1785 - 1784. Sort 0, 22, v.
0, v, 22
Let c = 159 + -87. Put -5, c, -1/3 in decreasing order.
c, -1/3, -5
Let d be 10 - 9/((-9)/6*1). Put -3/5, 2, -5, d in increasing order.
-5, -3/5, 2, d
Let f(z) = z - 2. Suppose 0 = -8*p + 3*p - 5. Let m be f(p). Let h be 1/((12/(-16))/m). Sort -5, h, 5 in ascending order.
-5, h, 5
Let n(o) = -o**2 - 6*o + 2. Let q be n(-6). Suppose -5*a = 5*i + 45, i - 6*i - 4*a - 40 = 0. Put q, 3, i, 1 in descending order.
3, q, 1, i
Let n = -0.12 - -2.12. Let f = 18 - 17.86. Put f, n, -2 in decreasing order.
n, f, -2
Let r = 1 + 3. Suppose 2*f - 5*w - 7 = -2*w, -r*f - 2*w = -22. Let g = -2.9 - 0.1. Put g, f, 2/5 in descending order.
f, 2/5, g
Let i = -112 - -114. Sort -0.1, -1/23, i.
-0.1, -1/23, i
Let m = -30 - -41. Let a = m - 25. Let d = a + 18. Sort d, 0.5, 2.
0.5, 2, d
Let w = 379/15 + -133/5. Let m = 110/9 + -12. Sort m, 3, 0.1, w in increasing order.
w, 0.1, m, 3
Suppose -x - 7 = -q, 5 = -q - 4*x + 2. Let j(i) = -i**2 - 2*i - 2. Let m be j(-1). Put 0, m, q in ascending order.
m, 0, q
Let q be 4/(-2 - (1 - 1)). Let b(p) = p**3 - 5*p - 1. Let j be b(q). Put j, 12, 0 in descending order.
12, j, 0
Let b(p) = -7*p - 100. Let c be b(-14). Put 7, -7, c in decreasing order.
7, c, -7
Let n = 24 + -19. Suppose -9 = -6*d + 3*d. Let b = -62 + 66. Put d, n, b in decreasing order.
n, b, d
Let j = -21 + 56. Suppose j = -3*n - 2*n. Put n, -2, -5 in decreasing order.
-2, -5, n
Suppose -2*z - | {
"pile_set_name": "DM Mathematics"
} |
5692.
4
Calculate the greatest common factor of 234726 and 852.
426
What is the greatest common factor of 169 and 13?
13
Calculate the highest common factor of 29 and 293770.
29
What is the highest common factor of 21504 and 3612?
84
What is the greatest common divisor of 28728 and 1071?
63
Calculate the greatest common divisor of 52 and 1521.
13
Calculate the greatest common divisor of 267 and 11125.
89
What is the greatest common factor of 20648 and 108344?
232
What is the greatest common factor of 450 and 601925?
25
Calculate the greatest common factor of 90 and 104050.
10
Calculate the highest common factor of 7170 and 19359.
717
Calculate the greatest common divisor of 1404 and 4316.
52
What is the greatest common divisor of 13855 and 13175?
85
Calculate the highest common divisor of 495 and 1595.
55
What is the highest common divisor of 974529 and 342?
171
Calculate the greatest common divisor of 20350 and 143.
11
Calculate the greatest common factor of 35 and 136885.
35
What is the highest common divisor of 141733 and 4878?
271
Calculate the highest common factor of 130 and 6040.
10
What is the greatest common divisor of 24815 and 21979?
709
Calculate the highest common factor of 7296 and 1536.
384
Calculate the greatest common divisor of 1323 and 1602.
9
What is the greatest common divisor of 509639 and 3152?
197
What is the highest common factor of 201 and 105793?
67
What is the greatest common factor of 1611986 and 438?
146
What is the greatest common factor of 1023 and 5544319?
341
What is the greatest common factor of 1568 and 752?
16
Calculate the highest common factor of 14184 and 2304.
72
Calculate the greatest common divisor of 185 and 890.
5
Calculate the highest common divisor of 408 and 11496.
24
Calculate the highest common factor of 21402 and 163098.
738
What is the highest common factor of 14229 and 1488?
93
What is the greatest common divisor of 97299 and 855?
171
Calculate the greatest common divisor of 535 and 218066.
107
What is the highest common factor of 520820 and 40?
20
Calculate the greatest common factor of 1209 and 15015.
39
Calculate the highest common factor of 165 and 1749.
33
Calculate the highest common divisor of 2 and 583370.
2
Calculate the highest common divisor of 9 and 10096.
1
What is the greatest common divisor of 1957005 and 36?
9
What is the greatest common divisor of 156 and 21736?
52
What is the greatest common divisor of 5048 and 64?
8
What is the highest common factor of 91 and 134407?
91
Calculate the greatest common divisor of 948 and 12561.
237
What is the greatest common factor of 56764 and 184?
92
What is the highest common factor of 119 and 42756?
7
What is the highest common divisor of 2574891 and 18?
9
What is the greatest common factor of 345 and 119485?
115
What is the greatest common divisor of 4380 and 90?
30
Calculate the greatest common factor of 83 and 168407.
83
What is the greatest common divisor of 145 and 323611?
29
Calculate the highest common divisor of 71 and 21927782.
71
What is the greatest common factor of 5824 and 282688?
448
Calculate the highest common factor of 10920 and 117040.
280
What is the greatest common divisor of 2680456 and 16?
8
Calculate the highest common factor of 5150 and 44805.
515
What is the highest common divisor of 91788 and 732?
12
Calculate the highest common divisor of 242281 and 26.
13
What is the greatest common divisor of 588 and 22254?
6
Calculate the highest common factor of 171 and 333.
9
Calculate the highest common factor of 300306 and 198.
6
What is the highest common divisor of 44 and 268972?
44
Calculate the greatest common divisor of 162 and 4038.
6
What is the greatest common factor of 640 and 10976?
32
Calculate the highest common factor of 4251891 and 21.
21
What is the greatest common divisor of 294 and 63966?
42
Calculate the highest common factor of 475 and 7855.
5
What is the greatest common factor of 1234 and 66?
2
What is the greatest common factor of 8833 and 511?
73
Calculate the greatest common divisor of 132616 and 13552.
968
What is the highest common divisor of 14201 and 539?
11
Calculate the highest common divisor of 707325 and 60.
15
What is the highest common factor of 96 and 72144?
48
What is the highest common divisor of 19392 and 909?
303
Calculate the greatest common factor of 441 and 8869.
49
Calculate the greatest common divisor of 108110 and 10.
10
Calculate the highest common divisor of 844 and 824377.
211
What is the highest common factor of 43328 and 128?
64
What is the highest common factor of 328 and 84296?
328
Calculate the greatest common divisor of 44576 and 169792.
224
Calculate the greatest common divisor of 1151958 and 888.
222
What is the greatest common divisor of 53022 and 9?
3
What is the greatest common factor of 162313 and 7720?
193
What is the greatest common factor of 101178 and 36?
18
Calculate the highest common factor of 8477 and 57263.
173
Calculate the greatest common divisor of 336 and 3465.
21
Calculate the highest common factor of 13323 and 27.
3
Calculate the highest common factor of 261 and 1695.
3
Calculate the greatest common factor of 29 and 898333.
29
What is the greatest common factor of 59 and 1903163?
59
What is the greatest common factor of 604 and 38354?
302
Calculate the highest common factor of 3520 and 2208.
32
What is the greatest common divisor of 3825 and 5850?
225
What is the greatest common divisor of 1595 and 1760?
55
What is the highest common factor of 246389 and 52?
13
What is the highest common factor of 9114 and 22638?
294
What is the highest common factor of 11871296 and 64?
64
Calculate the greatest common factor of 39125 and 37247.
313
Calculate the greatest common factor of 4875 and 2145.
195
What is the greatest common factor of 20256 and 229146?
1266
Calculate the highest common factor of 234 and 289854.
18
Calculate the greatest common divisor of 1002072 and 12.
12
Calculate the greatest common factor of 1677767 and 91.
91
What is the greatest common factor of 1150 and 46?
46
What is the highest common factor of 9 and 1070523?
9
What is the highest common divisor of 1422135 and 2295?
765
Calculate the highest common factor of 75 and 46275.
75
Calculate the greatest common divisor of 33 and 60181.
11
What is the greatest common factor of 1190 and 1030?
10
Calculate the greatest common divisor of 15 and 10915.
5
What is the greatest common factor of 350 and 185920?
70
What is the highest common factor of 18 and 211986?
18
What is the greatest common factor of 2017386 and 945?
189
Calculate the highest common divisor of 10496 and 943.
41
What is the greatest common factor of 602 and 49154?
14
Calculate the greatest common divisor of 639643 and 178.
89
Calculate the greatest common factor of 27 and 23103.
9
What is the greatest common divisor of 201356 and 568?
284
What is the highest common divisor of 913 and 90636?
83
Calculate the greatest common divisor of 10 and 4570.
10
What is the greatest common factor of 190 and 3370?
10
Calculate the greatest common divisor of 697140 and 630.
90
Calculate the greatest common divisor of 10 and 7430.
10
What is the highest common divisor of 11704 and 17290?
266
What is the greatest common divisor of 130493 and 88?
11
Calculate the highest common divisor of 11 and 6941.
11
What is the highest common factor of 2 and 156670?
2
Calculate the highest common factor of 258 and 200337.
129
What is the highest common divisor of 27 and 675261?
9
Calculate the highest common divisor of 77851 and 762.
127
What is the highest common factor of 3990 and 156?
6
Calculate the greatest common divisor of 9 and 1611.
9
Calculate the highest common factor of 12648 and 476.
68
What is the highest common factor of 531 and 21181?
59
Calculate the greatest common divisor of 1596 and 2316.
12
What is the highest common factor of 140 and 8260?
140
Calculate the greatest common divisor of 10906 and 98.
14
What is the greatest common divisor of 2547 and 113200?
283
Calculate the greatest common divisor of 9052 and 876.
292
Calculate the greatest common factor of 91971 and 36.
9
Calculate the greatest common factor of 95 and 7582045.
95
Calculate the greatest common divisor of 874 and 28520.
46
What is the greatest common factor of 1 | {
"pile_set_name": "DM Mathematics"
} |
value? (a) -3/22 (b) 38 (c) -2/7 (d) 0.3
b
What is the fourth smallest value in 48, -7, 0.3, -0.2, 0.13?
0.3
Which is the smallest value? (a) -2/9 (b) -3/2 (c) 0 (d) 6/7 (e) -26 (f) 2
e
What is the third biggest value in 0, 0.07, 0.5, 157?
0.07
What is the second biggest value in 0, -4, 7.6, -3, -12?
0
What is the third smallest value in 2, -8, 0, 3, -3?
0
Which is the fourth biggest value? (a) -4 (b) -1 (c) 9/13 (d) -5
d
What is the fourth biggest value in 8/5, 2, 561, 1?
1
What is the second biggest value in 0.1, 7, -952.3?
0.1
What is the third biggest value in 162417/7, 1/9, 0.1?
0.1
What is the second smallest value in 47, -0.04, 2, 217?
2
Which is the second biggest value? (a) -5 (b) -33/47 (c) -3
c
What is the biggest value in -0.37, -1, 6, 1?
6
Which is the second smallest value? (a) -2/13 (b) -3 (c) -68
b
Which is the second biggest value? (a) -60 (b) -4 (c) -5 (d) -0.4 (e) 0.3 (f) 2/7
f
What is the fourth biggest value in 0.07, 0.2, 840, 4, -4?
0.07
Which is the fifth biggest value? (a) 3 (b) -2/11 (c) 2/5 (d) 0.5 (e) -3
e
Which is the sixth biggest value? (a) -222 (b) -4/7 (c) 3 (d) -0.1 (e) -0.4 (f) 1
a
Which is the second smallest value? (a) 2/5 (b) -1/76 (c) 6287
a
What is the second smallest value in -5/34, 1/10, 4.25?
1/10
What is the biggest value in 1.4739, -0.2, -4?
1.4739
What is the third biggest value in -0.46, -149/5, 0?
-149/5
What is the third smallest value in -23/3, 21, 10/13?
21
Which is the biggest value? (a) 1/6 (b) -5 (c) -1689 (d) 2 (e) 3/5
d
What is the third smallest value in 0.5, -2, -6649?
0.5
What is the second smallest value in -450, 0.1, 105, -1/5?
-1/5
What is the fourth biggest value in 0.4, -5, 10, -5/3, -9, 3?
-5/3
Which is the second biggest value? (a) -1505 (b) -2 (c) 2/11 (d) 0.7
c
Which is the biggest value? (a) -2/63 (b) -1/9 (c) 399
c
Which is the third smallest value? (a) -277 (b) -5 (c) 0.2 (d) -2535
b
Which is the fourth biggest value? (a) -0.4 (b) 0.146 (c) 0.5 (d) -1/7 (e) -1/3
e
Which is the biggest value? (a) -4.388 (b) 1/4 (c) 0
b
Which is the fourth smallest value? (a) -0.2 (b) -0.12 (c) -2 (d) 0.6 (e) -0.29
b
Which is the biggest value? (a) -1/13 (b) -0.022 (c) -15
b
What is the third biggest value in -1, -17.4, -4/7, -0.2?
-1
What is the third biggest value in 4.1, 1/3, -128?
-128
What is the smallest value in -5, -2/3, 1/5, -2.5, 4?
-5
What is the fourth biggest value in -3/11, 1, 4/175, 5, -4?
-3/11
Which is the sixth biggest value? (a) 65 (b) 3 (c) -3/7 (d) -2 (e) 1/2 (f) 4
d
Which is the second smallest value? (a) -1 (b) 0.05 (c) 1/378
c
Which is the third smallest value? (a) -12404 (b) 16/5 (c) -0.1
b
Which is the smallest value? (a) -0.21 (b) -1 (c) -5 (d) 5 (e) -0.5 (f) -1/15
c
Which is the third smallest value? (a) -0.01 (b) 12899 (c) 6/13
b
Which is the biggest value? (a) -0.587 (b) 2 (c) 167
c
What is the fifth biggest value in 6968, -1/6, 0.3, 17, -2, -4?
-2
Which is the second biggest value? (a) -0.1 (b) 0.1 (c) 8 (d) -4/12265
b
What is the fourth smallest value in -3, 176, -1.1, -0.3, 2/7?
2/7
What is the third smallest value in 3, -0.2269, 0.3?
3
Which is the fourth smallest value? (a) -5 (b) -1421 (c) -20 (d) 4
d
Which is the third biggest value? (a) -8/7 (b) -0.4 (c) -0.1 (d) 0.4 (e) 19 (f) -0.6
c
What is the fifth smallest value in -1, -1/22, -0.27, -4/5, -2, 2/3?
-1/22
What is the third smallest value in -2/9, 974, -2, -0.3, -7?
-0.3
What is the biggest value in -1/5, 1/6, 126, -2/11, -3?
126
What is the fourth biggest value in 1.1, 0.4, -9/5, -0.4, 10?
-0.4
What is the fourth biggest value in 3, 0, -0.08, 4, 24/13?
0
What is the fifth biggest value in -5, -7, 2, 1.28, 0.2?
-7
Which is the smallest value? (a) -0.24 (b) 3 (c) -0.03 (d) 297/13
a
Which is the smallest value? (a) -0.5 (b) 5 (c) 14 (d) -23 (e) 0.2
d
Which is the second smallest value? (a) -0.1 (b) 0.24 (c) 8 (d) -5 (e) 4/25
a
Which is the smallest value? (a) 3/4 (b) -2 (c) 391 (d) -43
d
What is the third biggest value in -0.5, 0.4, 2/3, 250, 2, 10?
2
What is the second biggest value in 0.2, -0.6, 2.9, 13.56?
2.9
Which is the second smallest value? (a) 2 (b) -20/49 (c) -42 (d) -16
d
Which is the second smallest value? (a) -0.9 (b) 65 (c) -9
a
What is the biggest value in 1/5, -4, 548?
548
Which is the second biggest value? (a) 2 (b) 0.1 (c) -33 (d) 3 (e) 0.01
a
Which is the biggest value? (a) 1/28 (b) 0.1 (c) 116
c
What is the second smallest value in -51, -24, 2?
-24
What is the second biggest value in 2, -1/6, 5, 144, 3, 1/4?
5
What is the third biggest value in 2, 0.2, 19000?
0.2
Which is the third smallest value? (a) 0.29 (b) 5 (c) 0.5 (d) 0.4 (e) 4 (f) 17
c
What is the fourth biggest value in 3, -5, -0.089, -1, -17.4?
-5
What is the third biggest value in 4/33, 218.5, 1/3, 3?
1/3
What is the second smallest value in -3, 1/10, -2310?
-3
Which is the fourth smallest value? (a) 5 (b) 7 (c) -1 (d) -0.2 (e) 17
b
Which is the fifth smallest value? (a) -6 (b) 2 (c) -2 (d) -77 (e) -3
b
Which is the sixth smallest value? (a) -0.406 (b) -0.2 (c) 2/9 (d) -2/87 (e) 1 (f) -1
e
What is the biggest value in 123/17, -0.7, -0.03, -12?
123/17
Which is the second smallest value? (a) 1/145 (b) 12 (c) -2 (d) -0.05
d
What is the fourth biggest value in -1.7, 5/4, 3/2, -0.2, -6, 66?
-0.2
What is the second biggest value in -3, -1/16, 364?
-1/16
Which is the third biggest value? (a) -5 (b) 0.07 (c) 1/6 (d) 0.03 (e) -3/5
d
Which is the sixth smallest value? (a) -2 (b) 3 (c) 0.3 (d) -5/1896 (e) -5 (f) -0.5
b
What is the third smallest value in -5, 0, 2, 3/8, -691, -25?
-5
Which is the smallest value? (a) -1 (b) -6 (c) -2 (d) -0.761 (e) 0
b
Which is the biggest value? (a) -0.1 (b) -0.124 (c) -3/2 (d) -2 (e) 6/5 (f) 1
e
Which is the third biggest value? (a) 0.4 (b) 2/1303 (c) -0.3
c
What is the second biggest value in 4/5, -0.2, 22, 5446/9, 0?
22
Which is the biggest value? (a) -1/256 (b) -0.1 (c) -1.7 (d) 7 (e) -0.3 (f) -3/7
d
Which is the fourth smallest value? (a) 152 (b) -0.1 (c) 1/8 (d) 1 (e) -3/5
d
What is the second smallest value in 21.83, 5, -0.072?
5
What is the fifth biggest value in 4, -5, -0.2, -19.46, -2/7?
-19.46
What is the third smallest value in 379/3, 0.07, 0.1, -9?
0.1
Which is the third biggest value? (a) 1/4 (b) 9 (c) -5703
c
Which is the second smallest value? (a) 19 (b) -13 (c) 1/3 (d) -2/13
d
What is the third smallest value in 5, -37.1, 0.7, 0.1?
0.7
Which is the smallest value? (a) -3/2 (b) -0.1 (c) 13 (d) -49.1
d
What is the third biggest value in -1, -0.3, -46, -0.1, -1/4, 0?
-1/4
What is the smallest value in -4, 0.13, -0.4, -1/6, 21/8?
-4
Which is the sixth smallest value? (a) -1 (b) -3/5 (c) -1956 (d) 2 (e) 0.5 (f) 5
f
What is the third smallest value in -0.1, 3/7, -10.186?
3/7
Which is the smallest value? (a) -2/67 (b) 0.5 (c) -3 (d) -1/8 (e) 4 (f) -0.5
c
What is the biggest value in -0.49, 14, -5, -7, 1, -0.5?
14
Which is the fourth biggest value? (a) -4 (b) 2/3 (c) 0.3 (d) -21 (e) -2.3 (f) 0.5
e
What is the second smallest value in -1, -3, 0.051468?
-1
What is the fifth smallest value in -3, -0.39, 1.54, -0.4, 5?
5
What is the smallest value in 252, -0.4, 4?
-0.4
Which is the second biggest value? (a) -21 (b) 141 (c) -0.32
c
What is the fourth smallest value in 183, -4/3, 22, 4?
183
What is the second smallest value in 2/89, -1220, -5/3, 2, -1/3?
-5/3
Which is the third smallest value? (a) -14/5 (b) 33 (c) -2/17
b
Which is the second smallest value? (a) -3 (b) -0.1 (c) -6367
a
Which is the sixth smallest value? (a) -2 (b) 0 (c) 2/125 (d) -0.2 (e) -3 (f) 63
f
Which is the third biggest value? (a) 49 (b) 5/3 (c) 2/61 (d) -5 (e) 3 (f) -0.4
b
Which is the fifth smallest value? (a) -0.7 (b) 5 (c) -3 (d) 2/5 (e) -0.2 (f) -212/21
d
Which is the fourth biggest value? (a) 1 (b) 3.2 (c) 431/4 (d) 1/2
d
Which is the smallest value? (a) 0 (b) -1/6 (c) -2742.3
c
What is the fourth biggest value in 148, 5, 2.4, -0.3?
-0.3
Which is the third biggest value? (a) 3/7 (b) -0.6 (c) -14
c
Which is the fourth biggest value? (a) -5 (b) -1 (c) | {
"pile_set_name": "DM Mathematics"
} |
-1)/(-3)*(-96)/4*1.
-8
Calculate (15/(-45))/(1/3).
-1
What is ((-56)/(-7))/80*4?
2/5
What is (64/72)/(2/9)?
4
What is (6/22)/((-3)/2)?
-2/11
(1*3)/(166/166)
3
What is the value of 5/(-1)*(-1)/(-15)*-6?
2
9/(-3)*(-28)/21
4
What is -10*(-1)/12*(-12)/75?
-2/15
Calculate ((-1)/5*1)/((-63)/105).
1/3
What is the value of (-15)/30*(-2)/2*-1?
-1/2
1/2*15/10*-1
-3/4
Evaluate (-18*(-3)/10)/(27/45).
9
What is the value of ((-9)/(-12))/(10/20)?
3/2
What is the value of (-12)/2*((-12)/(-54))/(-2)?
2/3
What is -4*(-3)/(-18)*3/(-2)?
1
Calculate (-1)/(-1*77/14).
2/11
What is 55/11*(1/(-1))/(-1)?
5
What is (-6)/28*-4*(-2)/(-6)?
2/7
Calculate (12/(-27))/(440/(-396)).
2/5
Calculate ((-12)/(-9))/(28/(-18)).
-6/7
Evaluate ((-84)/(-63))/(40/18).
3/5
Calculate 8*((-60)/990)/((-16)/6).
2/11
Evaluate (-1)/2*(-765)/(-510).
-3/4
What is the value of ((-2)/(2/(-5)))/((-400)/(-160))?
2
What is ((24/(-108))/(-1))/(19/9)?
2/19
12/(-20)*(-5)/3
1
What is ((-1)/((-14)/(-12)))/(12/(-21))?
3/2
((-6)/18)/(4/(-3))
1/4
((-8)/(-8))/(1/(-3))
-3
(1/(-1))/((-231)/(-66))
-2/7
Calculate ((-4)/(-10))/((-70)/50).
-2/7
Calculate 4/10*-9*(-9)/162.
1/5
Calculate (-6)/(-3)*(-8)/(-16)*-4.
-4
(672/(-270))/14*45/(-36)
2/9
What is the value of (6/(-21))/(5*2/(-28))?
4/5
Evaluate (-5)/((-1750)/300*2/(-14)).
-6
Evaluate (4/(-10))/(-2*(-4)/(-80)).
4
0/(8/(-16)*-4)
0
Calculate ((-32)/24)/(28/6).
-2/7
Calculate (4*(-3)/(-4))/1.
3
What is (12/14)/(15/(-21))?
-6/5
What is 21/14*(-2)/7?
-3/7
(24/(-100))/(129/215)
-2/5
Evaluate 2*-1*-3*6/36.
1
What is -4*(2/4)/((-33)/(-33))?
-2
What is (3/(-14))/(23/(805/30))?
-1/4
Evaluate (2/7)/((26/(-56))/(-13)).
8
What is (((-8)/40)/(-1))/(4/(-70))?
-7/2
What is 24/20*(-3)/6*5?
-3
What is 2*6/30*10?
4
What is ((-4)/14)/((-2)/(70/(-5)))?
-2
Calculate ((-20)/16)/(2/8).
-5
What is the value of (4/(-6))/(2*9/(-36))?
4/3
What is (((-135)/25)/9)/((-7)/(-5))?
-3/7
Evaluate (-9*1)/((-117)/(-78)).
-6
Calculate ((-1)/(-6))/(12/(240/(-25))).
-2/15
Evaluate ((45/35)/(-3))/(2/7).
-3/2
(-4)/((12/8)/3)
-8
438/(-1095)*30/(-4)
3
Evaluate (86/645)/((1/1)/3).
2/5
What is ((-1)/6)/(-2*15/80)?
4/9
Calculate (((-12)/(-9))/(-2))/(70/15).
-1/7
((-3)/(-4))/((-1)/4)
-3
Calculate (-6)/(-12)*18*6/(-9).
-6
((-5)/10)/((-1)/2)*-1
-1
Evaluate 25/(-2)*(-95)/(-475).
-5/2
What is the value of -1*(4/((-36)/(-45)))/1?
-5
Calculate 2/(2*(-2)/10).
-5
14/3*(-11)/(154/21)
-7
Evaluate (8/8)/(14/7).
1/2
Evaluate 3/((81/4)/(129/(-86))).
-2/9
5*2*(-6)/12
-5
What is (39/(-13))/(14*6/8)?
-2/7
Evaluate (-1)/(-2)*(-2)/4*-16.
4
What is 6/5*(-70)/21*1?
-4
What is the value of (((-154)/(-182))/11)/(1/2)?
2/13
What is 2*(17/170)/((-1)/(-4))?
4/5
What is (-8)/12*(9/(-4))/3?
1/2
Calculate (3*(-4)/390)/(1/(-5)).
2/13
594/(-693)*(-56)/6
8
Evaluate 30/9*(-10)/(-160)*8.
5/3
1/(9/(-36)*(-2)/(-1))
-2
Evaluate (4/24*15)/(1/2).
5
What is (32/(-56))/((-30)/70)?
4/3
(-8)/(320/(-45))*(-8)/6
-3/2
18/(-63)*-7*-1
-2
Evaluate ((-10)/120*8)/(4/(-6)).
1
5/((-30)/9)*12/(-288)
1/16
What is (((-336)/(-90))/(-14))/((-98)/(-35))?
-2/21
Evaluate (-17)/((-136)/84)*8/(-12).
-7
(112/28)/(4/8)
8
What is the value of 30/(-4)*(-6)/9?
5
Evaluate (-16)/48*6/(-4).
1/2
Calculate (1/(-1))/((-369)/82).
2/9
1/((-11)/((-121)/(-11)))
-1
What is the value of (535/(-214))/(2/(-4))?
5
What is the value of (-9)/((-189)/(-14))*(-6)/(-20)?
-1/5
Calculate 6/(-8)*(988/(-133))/13.
3/7
What is 49/(-7)*(-1)/(7/4)?
4
Evaluate ((-5)/((-100)/(-3)))/((-81)/(-72)).
-2/15
Evaluate ((-1)/2)/(5/(-30)).
3
What is ((40/25)/2)/(1/(-5))?
-4
What is the value of 2/(1*(-2)/(-3))?
3
Evaluate (27/(-27))/((-1)/7).
7
Evaluate ((-2)/4)/((-230)/92).
1/5
What is ((-15)/20)/((-11)/(440/6))?
5
What is (-6)/(-4)*2/3*8?
8
-4*(-7)/(-168)*-6
1
What is ((-1)/(-2))/(-9*(-2)/(-90))?
-5/2
What is the value of -8*3/(-12)*1?
2
Calculate ((-6)/8)/((-54)/(-36))*14.
-7
Calculate 0/(((-16)/12)/(12/(-18))).
0
Calculate ((-57)/247)/((-6)/(-4)).
-2/13
Evaluate 1/1*(-8)/80*-10.
1
What is (4/1)/(228/(-6))?
-2/19
(51/34)/((-9)/42)
-7
-32*(-6)/(-252)*3/4
-4/7
Calculate (-1)/3*-1*105/(-7).
-5
8*10/(-20)*(-2)/(-4)
-2
What is 14/(-168)*4/2*-5?
5/6
((-40)/60)/((-8)/(-2))
-1/6
Evaluate (-3)/(-1*(-12)/16).
-4
What is the value of 0/(((-10)/(-20))/((-2)/8))?
0
What is the value of 3*6/2*(-10)/(-30)?
3
What is (-10)/15*(-63)/(-14)?
-3
What is the value of (6/20)/((-15)/900*-6)?
3
What is the value of 8/6*(21/7)/3?
4/3
What is the value of 7/56*-4*-10?
5
Evaluate ((-12)/(8/2))/(-4)*-1.
-3/4
Calculate 3*(112/12)/7.
4
What is (-2)/3*3*3/(-3)?
2
Evaluate (-1)/((8/(-44))/(36/(-66))).
-3
What is the value of ((-10)/(-15))/((-2)/(-3))?
1
What is 545/218*3/(-6)*2?
-5/2
-2*1/1*3/(-6)
1
What is the value of ((-7)/7)/3*-1?
1/3
Calculate 9/3*(-10)/50.
-3/5
What is the value of (3/(-6))/((-90)/24)?
2/15
Evaluate (1/10)/(48/(-120)).
-1/4
(-441)/196*((-16)/6)/2
3
What is the value of (9/(-45))/(9/15)?
-1/3
Calculate (-16)/(-2)*(-29)/174.
-4/3
(15/(-9))/(2/(-6))
5
Evaluate (1/(-3))/((-9)/27)*-1.
-1
What is the value of 12/(-2)*6/(-126)*-14?
-4
Evaluate ((-190)/95)/((-18)/(-3)).
-1/3
What is (-4*(-3)/6)/(-5*2)?
-1/5
What is ((374/55)/17)/1?
2/5
Evaluate (24/(-120)*0/(-2))/(-4).
0
What is (-8)/(6/12*4)?
-4
Calculate (16/10)/((12/10)/1).
4/3
What is the value of (-4)/(8/10)*5/25?
-1
What is the value of (-12)/9*60/40?
-2
What is ((-8)/((-112)/(-49)))/(10/(-20))?
7
-2*3*(-7)/(84/(-6))
-3
Evaluate 1*((-1)/15)/(3/(-9)).
1/5
Calculate ((-2)/4*1)/(291/582).
-1
Evaluate 18/66*(-2)/(-3).
2/11
Calculate (-20)/(-135)*-6*(-1)/4.
2/9
Calculate ((-35)/(-7))/5*-7.
-7
What is the value of ((-3)/3)/(5/25*5)?
-1
What is the value of ((-33)/(594/12))/((-1)/3)?
2
(-18*2/(-6))/(2/(-2))
-6
What is the value of (64/96)/(2*(-1)/9)?
-3
Evaluate 1*-1*35/(-35).
1
What is ((-11)/55)/((-2)/(-20))?
-2
What is the value of (-8)/(-4)*3/(-30)?
-1/5
What is (-5)/(-20)*(-4)/(-1)?
1
Calculate (6/(-9))/((-6)/(-3))*-1.
1/3
What is the value of 9/18*((-72)/3)/(-3)?
4
Evaluate ((-5)/(-4))/((-90)/(-36)).
1/2
Calculate ((-1)/(-2))/(29/116).
2
What is the value of 2*12*(-5)/(-780)?
2/13
((3/(-2))/1)/((-27)/(-12))
-2/3
Calculate ((-10)/20)/((-17)/(-306)).
-9
Calculate (19/38)/((5/6)/(-5)).
-3
(1/20)/((-6)/90*-6)
1/8
What is -4*1*48/(-32)?
6
Evaluate (-8)/12*-6*(-3)/42.
-2/7
Calculate 2*1*3/((-48)/40).
-5
What is 0/(1/(3/3))?
0
Evaluate 6/2*1*378/(-162).
-7
What is the value of 168/154*(-2)/4?
-6/11
Calculate 5*2*4/(-16)*2.
-5
What is the value of (((-1)/5)/1)/((-6)/(-18))?
-3/5
Evaluate (((-20)/(-16))/(-5))/((-3)/4).
1/3
What is (-8)/(-32)*2/(-9)*8?
-4/9
Calculate ((-116)/29)/(2/2).
-4
What is 3/30*(-55)/(-33)?
1/6
((-33)/(-22))/((-1)/2)
-3
Evaluate -1*(-4)/(-2)*(-126)/(-28).
-9
What is ((-2)/6)/(15/(-100)*-5)?
-4/9
Calculate 6/1*-2*(-9)/(-36).
-3
Evaluate (-2)/(-2)*(-195)/39.
-5
Evaluate -1*(-3)/15*-5.
-1
5/((-11)/((-11)/(-4)))
-5/4
Calculate 1534/(-236)*(-40)/26.
10
What is 915/(-122)*(-4)/(-10)?
-3
Evaluate (2/1)/4*(-2)/(-1).
1
What is -3*-12*7/(-756)?
-1/3
Evaluate (-6)/3*(-6)/78.
2/13
9/(-30)*50/(-5)
3
Calculate (-25)/15*10/(-75).
2/9
Evaluate 3/(-2*6/(-48)*-3).
-4
(-12)/4*(-56)/(-21)
-8
Calculate (-1)/(((-143)/2)/13).
2/11
What is (-120)/16*3*(-4)/18?
5
What is ((-50)/(-225))/((-4)/(-126))?
7
What is the value of (-1)/4*138/(-115)?
3/10
(19/19)/((-7)/35)
-5
Evaluate ((-36)/18)/(-3*3/(-9)).
-2
Evaluate 25/(-10)*6/(-25).
3/5
Evaluate ((-9)/((-18)/(-4)))/(-7).
2/7
2/(-4*8/((-64)/18))
2/9
What is the value of (2/(-12)*3)/(-2)?
1/4
Evaluate ((-6)/18)/(3/18*-2).
1
Evaluate (-5)/(-2)*-1*12/(-10).
3
Evaluate (87/(-58))/((-66)/(-4)).
-1/11
((-4)/13)/(-11*(-16)/88)
-2/13
What is the value of 1*4*(186/(-8))/(-31)?
3
(-1)/(-1*(-5)/20*4)
-1
Calculate ((-4)/(-21))/(6/(-9))*-21.
6
What is -10*(-9)/75*-5?
-6
Evaluate -6*7/(-7)*3/(-9).
-2
Calculate (5/(-2))/(((-12)/(-6))/4).
-5
((-2)/(-4))/((-7)/42)
-3
What is (5/(-6))/((-55)/33)?
1/2
(-3)/2*10*28/(-315)
4/3
((-18)/(-60))/(5/((-20)/6))
-1/5
Calculate ((-33)/539*-14)/(22/14).
6/11
Calculate (3/(-60))/((-24)/(-60)).
-1/8
Evaluate 12/8*4/24*-4.
-1
Evaluate (-228)/4940*10/3.
-2/13
Calculate (1/2)/(192/(-128)).
-1/3
37/((-1850)/60)*10/(-33)
4/11
What is ((207/(-18))/23)/(3/3)?
-1/2
6*(-4)/(-72)*(-9)/4
-3/4
What is ((60/3)/4)/((-4)/(-4))?
5
(6/(-40))/((-30)/(-25))
-1/8
Calculate (0/(-7))/((-8)/(-16)*4).
0
Calculate -8*6/72*(-3)/1.
2
Evaluate ( | {
"pile_set_name": "DM Mathematics"
} |
d, 3*b + 4*d = 2*b + 7 for b.
-1
Solve -3*f + 5*x = 20, 3*f + 5*x + 9 = -1 for f.
-5
Solve -22*q + 17*q = n - 20, -5*n = 25 for q.
5
Solve 0 = 5*z - 4*l - 2, 0 = -z + 23*l - 28*l + 12 for z.
2
Solve -3*h + 27 = -k - 2*k, 2*k + h = -3 for k.
-4
Solve -4*f = 3*k, -3*f + 2 = 3*k - 1 for k.
4
Solve 3 = -4*k - 1, -5*k - 41 = -4*h for h.
9
Solve 2*n = -5*k + 8 - 24, -k - 2 = n for k.
-4
Solve -q + 2 = -f, -5*q + 0 = -3*f - 4 for q.
-1
Solve 7*j = 10*j + 9, 4*d - j + 1 = 0 for d.
-1
Solve 2*l + 3*c - 22 = 0, -33*l + 4*c - 29 = -36*l for l.
-1
Solve 2*r - 37 + 53 = -4*s, -16 = 3*r + 2*s for r.
-4
Solve q + 0*n + 5 = -n, -4*q = -2*n + 20 for q.
-5
Solve -3*l = 2*i + 10 - 2, 5*i - 3*l + 20 = 0 for i.
-4
Solve -1 = a - 4*t, -31*t = 2*a - 34*t - 3 for a.
3
Solve -3*o = -g - 5, -22*g + 2*o + 40 = -30*g for g.
-5
Solve -12 = 2*n + 5*g + 6, -g = -5*n + 9 for n.
1
Solve -b = 3*d + d + 19, -5*b - 11 = -d for b.
-3
Solve 5*q + 5*x - 19 = -39, 2*q + x + 4 = 0 for q.
0
Solve 4 = -4*l, 6 = 4*y - 4*l + 2*l for y.
1
Solve 5*g - 5 = -3*r, 28 = 5*r + g + 5 for r.
5
Solve -2*a = 4*w + 24, 3*w - 6*a = 8*w + 44 for w.
-4
Solve -4*g - u = -18, 4*g - 14 = -4*u + 5*u for g.
4
Solve 0 = -3*i - 2*s - 3, -i - 3*s + 0 = -6 for i.
-3
Solve g = -3*s + 9, s = 21*g - 20*g + 7 for s.
4
Solve -5*n - 2*s - 1 = 0, 2*n = -0*n - 5*s + 8 for n.
-1
Solve -5*k - 30 = 9*h - 14*h, 2*k + 8 = h for k.
-2
Solve -2*r - 2 = 4*v, -4*v - 14 + 9 = 3*r for v.
1
Solve -k + 5*h - 29 = 0, -7*h + 3*h = 3*k - 8 for k.
-4
Solve -16 = -2*v - 2*i, 3*v - i - 3*i + 4 = 0 for v.
4
Solve -24 = 5*v + h, -4*h + 8*h + 16 = 0 for v.
-4
Solve j = -4*j + z - 3, 0 = 4*j + 2*z - 6 for j.
0
Solve 3*c = 4*s - 26, -6*c + 4*s = -c + 30 for c.
-2
Solve r - s + 0*s - 2 = 0, -8 = -5*r + 4*s for r.
0
Solve -3*n + 5*d - 6 = -5*n, -2*d + 6 = -n for n.
-2
Solve -7*z + 13 = -5*z - 5*y, -5*z = -3*y - 4 for z.
-1
Solve -7*x = -2*x + r + 6, 0 = -3*x - 5*r - 8 for x.
-1
Solve 0*q - 3*i = -3*q - 27, -5*i + 5 = 5*q for q.
-4
Solve -3*l = 5*x + 26, -x = -l - 4*x - 14 for l.
-2
Solve -2*a = -3*j - a - 9, 3*a = 9 for j.
-2
Solve -10*q = -6*q + c - 20, -20 = -q - 4*c for q.
4
Solve 2*m + 5*d = -10, 0*d + 2*d = -4 for m.
0
Solve -5*q - 25 = -8*q - 4*d, -4 = -4*q + 2*d for q.
3
Solve -2*p - u = 3*u + 14, -11 = 5*p - 2*u for p.
-3
Solve 8*x = 5*x - 2*r + 14, x + 4*r - 8 = 0 for x.
4
Solve -3*i - 20 = 2*y, 0*y = i + 5*y + 24 for i.
-4
Solve 0 = d - 2*z - 6, 0*d = -4*d + 5*z + 15 for d.
0
Solve 13 = d - 2*n, -4*d + 5*n + 53 - 13 = 0 for d.
5
Solve 1 = q + 2*h, q + 5*h = -0 - 5 for q.
5
Solve -2*z - 4 = -5*q, 4*q - 3 + 13 = -5*z for q.
0
Solve -2*h = 3*t - 4 + 25, -3*h + 6 = -3*t for h.
-3
Solve -2*t - 3*p = -10, -18*t + 16*t = -4*p + 18 for t.
-1
Solve 0 = 2*b - 5*q + 18, -5*b + 2*q = -3*q + 15 for b.
1
Solve -4*b + 5*c = -1 + 38, -3*b = c + 4 for b.
-3
Solve -5*q + 8 = -14*c + 15*c, c = -4*q + 7 for q.
1
Solve -4*h = 2*a - 5 - 13, 2*a - 2 = 4*h for a.
5
Solve -4*b = -5*d - 20, d = -4*d for b.
5
Solve -r = u + 1, 4*r + 2 = -2*u - 0*u for u.
-1
Solve -b = -4*c - 11, -4 = 3*c + 3*b - 7 for c.
-2
Solve -m = -8*x + 4*x - 6, 3*m - 5*x - 11 = 0 for m.
2
Solve a - 2*h = -h - 6, 0 = 5*a - 3*h + 24 for a.
-3
Solve 3*l - 7*c + 2*c = -4, -5*l + 12 = c for l.
2
Solve 5*c = -5*x + 8*x + 5, -3*c + 2*x + 4 = 0 for c.
-2
Solve -59*x = -4*o - 57*x + 8, -16 = 5*o + 4*x for o.
0
Solve -3*q = -2*p - 13, -4 + 1 = p + 2*q for p.
-5
Solve 0 = 2*d + v + 13, 4*d + 29 = 3*v + 18 for d.
-5
Solve w + 2*v + 9 = 0, 4*w - 4*v + 18 = 6 for w.
-5
Solve 4*y = 2*h - 2, -4*y = -4*h + 5*h - 13 for y.
2
Solve -11*p - 8 = -4*z - 9*p, -z + 5*p - 16 = 0 for z.
4
Solve -5*l = -4*g + 16, l - 24 = 2*g - 26 for g.
-1
Solve 10 = 5*s, -5*j + 20*s - 19*s = -8 for j.
2
Solve y + 3 = 3*s, 3*y - 12 = -3*s + 3 for s.
2
Solve t + 75 = 74, 0 = -4*n + 5*t + 9 for n.
1
Solve -14 = -3*a - 5*l - 1, l - 4 = -2*a for a.
1
Solve -3*i - 6*h + 7*h = -14, -35 = -5*i + 4*h for i.
3
Solve 0 = -x + 6*q - 2*q - 6, -3*x - 7 = -q for x.
-2
Solve -2*g - 5*z - 28 = 0, 2*z + 12 + 12 = -4*g for g.
-4
Solve -s - 2*w + 7 = 1, -2*s = -3*w + 9 for s.
0
Solve 2*l - 5*a = 5 + 1, 2*a = 4*l + 4 for l.
-2
Solve -20*o - y = -18*o + 3, -4*y = 20 for o.
1
Solve 3*m = b - 12, -m - 4 = -8*b + 7*b for m.
-4
Solve 7*q - 2 = 10*q - v, -16 = 4*v for q.
-2
Solve -3*g = 0, 4*g = -s + 5*g for s.
0
Solve 5*m - 3*s - 22 = 0, -9*m + s + 10 = -6*m for m.
2
Solve -c + 10 = -4*r, -c = 2*r + 110 - 108 for r.
-2
Solve -o + 32*a - 36*a = 18, -5*a - 30 = 5*o for o.
-2
Solve -4*a + t = -6, 2*t = -3*a + 10 + 11 for a.
3
Solve -5*l + 0*l - 18 = -2*t, 2*l + 8 = 0 for t.
-1
Solve 0 = -2*i - 12*z + 14*z + 8, 5*z + 30 = -5*i for i.
-1
Solve 5*q + 5 = 0, 5*z - 2*q - 2*q - 4 = 0 for z.
0
Solve -3*m = 2*z + m + 10, 3*m + 6 = -3*z for z.
1
Solve -2*b - 3*a + 7 = -0*a, -11 = -2*b + a for b.
5
Solve -2*b + 27 = 3*x + 3*b, -4*x + 7 = -3*b for x.
4
Solve -3*s + 5*c + 15 = 0, 7*s + 12 = 18*c - 22*c for s.
0
Solve -21 = -3*q + 5*w - 2*w, 2*q = -5*w for q.
5
Solve o = -2*g - 13, -4*g + 5*o - o - 8 = 0 for g.
-5
Solve 5*f = -2*x - 4 + 28, -x - 2*f = -10 for x.
2
Solve 0 = -16*r + 13*r - 6, 4*p - 12 = 2*r for p.
2
Solve -5 = -5*n + 2*a - 3, 0 = -4*n - 5*a - 5 for n.
0
Solve -5*p - 41 = 4*i - 14, 0 = 3*p - 4*i - 3 for p.
-3
Solve 5*v + 2*u = -15, 2*v + 7*u = 2*u - 27 for v.
-1
Solve 5*c = 4*q + 11, -43*q - 2*c = -48*q - 18 for q.
-4
Solve 2*b - 6 = 2*a, -4*a + 2*a - 3 = b for a.
-2
Solve 2*y - 5*i + 14 = 0, 5*i - 2 = -y + 6 for y.
-2
Solve 26*q + 4*l = 21*q + 22, 2*q + 2 = 2*l for q.
2
Solve -4*k + 5*p = 12, -3*p - 12 = 4*k - 0*p for k.
-3
Solve 2*i = 3*g + 3, g - 13 = -3*i - 3*g for i.
3
Solve -2 = -2*b, 4*a - 3 = 3*a + 2*b for a.
5
Solve -15 = -4*i + b, 40*b = -i + 45*b - 20 for i.
5
Solve 0 = n + 2*d - 3 - 3, -3*n + d = 3 for n.
0
Solve 2*n - 4*s + 0*s = -18, -4*n + s = 15 for n.
-3
Solve -4*s - 26 = 2*q, -5*s - 168*q + 171*q - 38 = 0 for s.
-7
Solve 0 = -3*o + 15, 0 = 2*t + 5*o - 24 - 5 for t.
2
Solve -2*g = 3*p + 12, 2*p + g - 2 = -9 for p.
-2
Solve 3*s - 4*s - 5 = 0, -4*s - 20 = -3*n for n.
0
Solve w = -2*p - 1, p = -5*w - 30 + 7 for w.
-5
Solve 0 = 5*k + 3*t + 22, -3*t + 14 = k - 7*t for k.
-2
Solve x + 4*a = 13, -2*x - 2*a + 2 = -0*a for x.
-3
Solve -2*j + 17 = -3*j - 3*k, 4*j = 5*k for j.
-5
Solve 5*c + 2*n + 10 = 4*c, -4*n - 24 = 3*c for c.
-4
Solve -3*y + 3*q = 0, 0 = y - 3*y + 5*q - 6 for y.
2
Solve 5*u + b = 18, 9*b + 24 = 3*u + 14*b for u.
3
Solve 5*l = 5*h - 2*h - 4, -5*h = -5*l - 10 for h.
3
Solve -5*a = 4*h + 8, 7*h = 3*h - 3*a for h.
3
Solve -5*s - 2*x = -17, -4*s + x + 9 + 2 = 0 for s.
3
Solve -2*l - l + 8 = 4*k, -k + 2 = l for k.
2
Solve 2*m + 6 = 2*i, i - 10 = 2*m - 3*i for m.
-1
Solve 5*p + 2*j + 1 - 2 = 0, 3*p = 3*j - 12 for p.
-1
Solve -4*i + 5*u - 40 = 0, -u + 160 = -2*i + 146 for i.
-5
Solve -5*u + 2*z = -4, 3*u - 2*z = 6*u + 4 for u.
0
Solve 2*w - 3*i - 2 = 0, w + 4*i + 2 = 3*w for w.
1
Solve 7 = -3*z - 3*r - 2, -3*z - 5 = -r for z.
-2
Solve 60*t - 61*t - 5*i = -10, 0 = 4*t - 3*i + 29 for t.
-5
Solve 0 = -y - 3*s - 9, -5*s - 15 = -10*y + 5*y for y.
0
Solve 5*i - 17 = -3*u + 11, u - 4*i = -19 for u.
1
Solve 0*z = -3*z + x - 22, 2*z = -3*x for z.
-6
Solve 52*x + 10 = -h + 55*x, 4*h = -4*x + 40 for h.
5
Solve -5 = -5*t, -n - 10 = 2*n + 5*t for n.
-5
Solve -2*c - 2*z + 4*z + 2 = 0, 0 = -4*c + 5*z + 8 for c.
-3
Solve -5*z + 5*d + 15 = 4*d, 3*z - d - 11 = 0 for z.
2
Solve 3*x = -4*p - 19, 8 = 4*x - p - 11 for x.
3
Solve -4*x - 3*o = 19, -5*x + 4*o - 18 = -2 for x.
-4
Solve 4*q + 73 - 78 = -3*m, 0 = q - 4*m - 6 for q.
2
Solve 0 = r + 5*n - n + 2, -5*r + 8 = 2*n for r.
2
Solve -3*a = 2*k + 6, -4*k + k = 0 for a.
-2
Solve 4 = 2*w + 4*g, 2*g - 7 + 5 = 2*w for w.
0
Solve 0*j = 3*j + 2*c + 15, 2*c - 25 = 5*j for j.
-5
Solve -5*t = -r + 15, -5*r + 1 = 3*t - 18 for r.
5
Solve -2*x + 1 = 3*j + 6, 5*x - 2*j + 22 = 0 for x.
-4
Solve u = 2, -2*u + 0 - 2 = -2*p for p.
3
Solve 4*g = -4*f + 20, 3 = -3*g + 4*g for f.
2
Solve -4 = -4*s - 2*j, -3*j = s + 3 + 1 for s.
2
Solve -4*f - 30 = -k, 178*k = f + 174*k + 15 for f.
-7
Solve 0 = -9*z + 6*z - 3*r + 3, 0 = -4*z - 5*r + 2 for z.
3
Solve -w - 4*c + 24 - 7 = 0, -8 = -2*c for w.
1
Solve -4*n = -20, -3*o + 4*n = 2*o for o.
4
Solve 4*k + 45*v + 3 = 42*v, -3*k - 3 = 3*v for k.
0
Solve 9 = 4*l - 29*w + 34*w, 0 = -2*l | {
"pile_set_name": "DM Mathematics"
} |
/9, k, a?
2/9
Let w = -287 + 286.9787. Let i = w + -2.9787. Which is the nearest to -0.15? (a) -2 (b) -1 (c) 0.2 (d) i
c
Let l = -32068/3 - -10689. What is the nearest to l in 4/7, -1, 3, -2/7?
-2/7
Let b be (8/3)/((-56)/(-84)). Let h be (-1)/(b*2/(-24)). Let m = 0.06 + 0.24. What is the nearest to 3 in 1, m, h?
h
Let h = -1.9 + 1.62. Let w = 0.15 + h. Let t = w - 0.07. What is the nearest to t in -3, 4, -1?
-1
Let l(q) = q**3 - 55*q**2 + 55*q - 56. Let g be l(54). Let h be 3 + (8/3)/(15/(-45)). Which is the closest to g? (a) -2/7 (b) 0.6 (c) h
a
Let g be 10/(-8)*3/(-15). Let s = 49059 - 49062. Which is the closest to g? (a) 56 (b) s (c) -0.3
c
Let w = 0.2423 + 0.1577. Which is the closest to -11? (a) w (b) -0.3 (c) -1.2
c
Let j = 1986 + -1985.9. Let f = -6.2 - -5. Let z = 4.2 + f. Which is the closest to -2/7? (a) z (b) j (c) -1/2
c
Let u = -34/11 - -249/77. Let v = 0.44 - 0.54. Let w = 0 + 0.3. What is the nearest to w in -0.5, u, v?
u
Let u be (105/7)/(4*-2) + 9/6. Suppose 0 = -z + 1, 11 = -0*k + 2*k - 5*z. Let i be ((-6)/k)/((-45)/24). Which is the closest to 3? (a) -1 (b) i (c) u
b
Let w be (20/(-14) + -42*(-33)/3234)*2. Let p = -3.05 + 0.05. Which is the nearest to -0.1? (a) w (b) p (c) -14
a
Let g = 210.032 + -211. Let t = -0.032 + g. Let j = 2/669 - 1352/4683. What is the closest to 3 in 5, j, t?
5
Let d = 19.75 + -17.75. What is the nearest to -2 in -4, d, -0.2, -2/5?
-2/5
Let m = -0.1 - -0.6. Let j(i) = -2*i + 109. Let g be j(28). Suppose -g*s - 21 = -50*s. Which is the nearest to s? (a) 0.3 (b) m (c) 4
a
Let y = 3.8 - 3.92. Let r = 1.88 - y. Let g = 147 - 301/2. Which is the closest to -0.1? (a) g (b) r (c) -4/7
c
Let y = -0.3622 + 1.3622. What is the closest to 2 in y, -3, 0.009?
y
Let q(w) = 4*w**2 + 20*w + 16. Let v be (-26)/(-169) + -54*(-1)/(-13). Let d be q(v). Which is the nearest to d? (a) -1/4 (b) -1 (c) -0.26
a
Let b = -4.29 - -4.79. Let l = -20.05 + 20. Let d = l - -0.45. What is the closest to -26 in b, d, -2?
-2
Let k = -7.9 + 8.3. Let w = 472 - 471.6. What is the closest to k in 4/3, w, -0.5?
w
Suppose -3*k - 4*o - 31 = 0, 3*k - k = 2*o - 2. Let a be 4/144*(-3 - (-396)/(-8)). Let p = -9/8 - a. What is the nearest to p in k, -1/3, -2?
-1/3
Let v = 14048 - 14050. Which is the nearest to 0? (a) v (b) 1 (c) 0.5 (d) -2.8
c
Let l = 708 - 708.1. Let r be 1 + ((-112)/(-12))/(-7). Let o = 0.2 - 0.22. What is the nearest to l in r, -0.2, o?
o
Let u = 8.03513 + -0.03513. Let l = 0.16 - 0.06. Which is the nearest to u? (a) 1/2 (b) l (c) 0.3 (d) 0
a
Let x be ((-5)/(-2))/((-152)/(-16) + -8 - 2). Let u = -15.6 - -15. What is the nearest to 0.2 in u, x, -1?
u
Suppose -t + 3*o = 5141 - 5168, -1 = -3*t + o. Let w = 0.2 + -0.2. Which is the closest to -2/3? (a) t (b) w (c) -5 (d) 0.2
b
Let y = -151/8 - -77/4. Which is the nearest to 4? (a) -5 (b) 1/7 (c) -1 (d) y
d
Let k = 618.2 - 618. Let v = 0.016 - 2.316. Let l = v - -1.3. Which is the nearest to l? (a) k (b) 0.1 (c) 5
b
Let a = 0.9 - 1.8. Let q = 1.63 + -2.134. Let m = 0.004 + q. What is the closest to -1/3 in a, -1, m?
m
Let o = -468.2 + 468. Let s = -502 + 504. What is the closest to 3/10 in s, -1, -3, o?
o
Let h = 5763 - 5779. Which is the nearest to -1? (a) 7.5 (b) 2/15 (c) h
b
Let f = 0.852 - 1.052. Which is the nearest to f? (a) -5.3 (b) 0.1 (c) 4 (d) -1/5
d
Let g be (-30)/125*80/24. Which is the closest to g? (a) -3 (b) 5 (c) -0.5 (d) -21
c
Let i be (-5)/(-10) + (-7)/2. Let v be (i/(-1))/(-3)*-1. Let u = -810 + 815. What is the nearest to v in -7/4, -3/5, u?
-3/5
Suppose -5*s - 16 = 4. Let l(v) = 3*v**2 - v - 50. Let j be l(-4). Which is the closest to -2? (a) j (b) -1 (c) s
b
Let w = 76/935 - -2/55. Let i(l) = -14*l + 6. Let q be i(-3). Suppose -8 - q = -7*a. What is the nearest to a in 2/9, w, -5?
2/9
Let k = -3 + 3.05. Let n be -12*7/35*3/(-12). What is the closest to k in n, 3/2, -4/7?
n
Let v = 0 - 0.5. Let u = 7492 + -7491.5. Which is the closest to 1/5? (a) -3/8 (b) v (c) u
c
Suppose -5*k = -2*p - 0 + 13, 3 = -3*k. Let g = -8797/5 - -1759. What is the closest to g in -2/3, p, 0?
-2/3
Let r = 3 + -6. Let w = -11.8 - -3.3. Let c = -8.6 - w. What is the closest to c in 0, 0.1, r?
0
Let z(y) = -12*y**2 - 10 - 2*y - y**3 + 15*y + 9. Let v be z(-13). Let d = 3.95 - -0.05. What is the closest to -1/5 in 1/3, d, v?
1/3
Let h = 39.07 - 0.07. Let t = 51 - h. Let n = t - 14. Which is the closest to n? (a) 2 (b) -2 (c) -0.3
b
Let s = -1.1 - -3.1. Let n = 1.07 - 0.07. Let y = n - s. What is the nearest to -0.2 in -1/2, 0.2, y?
-1/2
Let c = -1849.93 - -1850. What is the nearest to 14 in c, -0.2, 1/9?
1/9
Let s(p) = -13*p - 880. Let x be s(-68). Which is the nearest to -5? (a) -3/2 (b) x (c) -4/5
a
Let g = 8257 + -8266. Which is the nearest to -2/9? (a) g (b) -1 (c) 24
b
Suppose 35*m - 15*m + 68 = -52. What is the nearest to 1 in 2/9, -39, m?
2/9
Let z = 590.1 + -589.9. What is the nearest to z in 3, 0.1, -59, 1/3?
0.1
Let m(p) = -p**3 + 4*p**2 - 568*p + 1707. Let b be m(3). What is the nearest to 0 in 5, 21, b, -0.2?
-0.2
Let j = -9726727/297 - -32750. Let x = 7/27 - j. Let z = 23503/4 + -5876. What is the nearest to -4 in x, z, -1/12?
z
Let t = -1607.2 - -1607. Let r = 18.6 - 19. What is the closest to 2 in 4/7, r, 4/5, t?
4/5
Let o = 365 - 368.98. Let g = o + -0.02. Let x be 0 + 2/21*45/(-10). What is the nearest to 0.1 in x, -2/15, g?
-2/15
Let h = -15 - -59. Let z be -9*2*(-10)/(-70)*63/(-567). What is the closest to h in -3/5, z, -1?
z
Let d = -776/7 + 779/7. Which is the nearest to 17? (a) 4/3 (b) -5 (c) d
a
Let l(u) = u + 3. Let p be l(17). Let t = -12 + p. Suppose 0 = 5*m + 2*k - 7, t = 3*m + 2*k + 3*k. What is the nearest to 0 in -0.1, -11, m?
-0.1
Let q = -13549 - -13537. Which is the closest to -1.3? (a) -1 (b) -0.1 (c) q (d) 0
a
Let q = -0.2 - 0.8. Let m(g) = g**2 - 14*g - 75. Let u be m(18). Let n be 462/(-297)*u/7. Which is the nearest to q? (a) -4 (b) n (c) 3
b
Suppose 368 = 8*s + 104. Let j be 1 - 0 - 254/(-8). Let g = j - s. What is the closest to 0.1 in 1/3, g, 1/2?
1/3
Suppose 4*i - 18 = -2*t + 4*t, -2*t - 8 = i. Let y = -19 + 43. Let z be (-1*y/54)/2. What is the closest to i in 2/3, -4, z?
2/3
Let m be (-2 - (-5 - -13)) + (-26 + 18)*(-36)/32. Let s = -2.2 - -2.37. Let u = s - 0.08. Which is the closest to -1? (a) -4 (b) u (c) m
c
Suppose 2*i + m = 3*i, 0 = -4*m - 16. What is the closest to 3 in i, 1.2, 0.03?
1.2
Let b be 6*(-155)/(-60) + -14. What is the closest to -4.8 in -6, -1/3, b?
-6
Let o(y) = y**2 + 7*y + 6. Let s = 2 + -8. Let r be o(s). Let i be 2/8 + 67/4 + -16. Which is the nearest to r? (a) 2/17 (b) -4 (c) i
a
Let d = 1598/19 + -5461/76. Let i = 0 - 0. What is the closest to i in 1, d, 1/6?
1/6
Let w(m) = 114*m - 2736. Let o be w(24). Which is the closest to o? (a) -0.02 (b) -11 (c) -4 (d) -3
a
Let x = -2565.972 - -2566. Which is the closest to x? (a) -1/2 (b) 2 (c) -1/7
c
Let r = -6247 + 6251. Let t = -61/2 + 31. Which is the closest to 0.1? (a) r (b) t (c) -4
b
Let d(k) = k**3 - k + 4. Let x be d(0). Suppose 4 = 3*i + n - 11, -4*n + 28 = x*i. Let s = 31.4 + -32.4. What is the nearest to 0 in s, i, -3?
s
Let m = -34 - -273/8. Suppose -4*y + 2*a + 34 = 0, 4*a + 409 = -3*y + 440. What is the nearest to -0.1 in 2/9, m, y?
m
Let o = -3.1277 - -2.9277. Let n = -0.01 + 4.01. What is the nearest to n in 0.1, o, 0.3?
0.3
Let c = 1863 + -1861. What is the nearest to c in -0.1, 3/2, 382?
3/2
Let z be 0/1 + (-2 - (-384)/176). What is the closest to z in -1/3, 29, -0.5?
-1/3
Let u = -698 - -2104/3. Which is the closest to -22? (a) 5 (b) -5 (c) u (d) 0
b
Let h = -250.9 + 269.9. Let d = -97 - -98. Which is the nearest to h? (a) 0.2 (b) d (c) -0.2
b
Let i be 92/69*(-7)/14. What is the nearest to -0.1 in i, 2/11, -2, -2/9?
-2/9
Let x be 2*((-12)/(-2) + 4). Let n be 1/((-5)/(x/8)). Let g = -0.219 + 0.519. What is the closest to n in -7, -1/2, g?
-1/2
Let l(z) = z - 5. Let m be 8/10 - (-15)/(600/208). Let q be l(m). Which is the closest to 1? (a) -0.6 (b) q (c) -3
b
Let u = -264 + 260. Which is the closest to -1? (a) -0.09 (b) -1/11 (c) -3/2 (d) u
c
Let p be (6/20)/((-3)/(-8)). Let m = 269.616 + -269.616. What is the nearest to m in p, 4/19, -3?
4/1 | {
"pile_set_name": "DM Mathematics"
} |
u + 3 + 4 = 0, -f = u + i for f.
-4
Let p(k) = k + 3. Let n be p(0). Suppose -2*s - z - 1 = 0, -5*s = n*z - 8*z - 35. Solve -2*x = 4*v + s, 3*v + 20 - 1 = -5*x for x.
-5
Suppose 3*n = 5*o - 2, 2*o + 6 = 3*n - 4. Solve 2*z - t - 4*t + n = 0, -2*t + 12 = 4*z for z.
2
Suppose -3*n + 5*n = 4. Let i = 4 + -3. Let r(a) = 2*a. Let z be r(i). Solve f = n*c + z, 5*c - 4*c - 6 = -3*f for f.
2
Let n(o) = o**3 - 7*o**2 - o + 11. Let c be n(7). Solve 0 = 4*j + 3*q + 13, 5*q + 3 = c*j + 24 for j.
-4
Let h = 24 - 24. Suppose -2*b - 2*q = -24, 3*b - 28 + h = -5*q. Solve -2*y = 4*p - b, 5*y - p + 25 = 2*p for y.
-2
Suppose -4*k + 2*k + 3*j + 16 = 0, 5*k + 3*j = 19. Solve -4*r + 4 = 0, 0 = k*y - 2*r - 3*r - 20 for y.
5
Suppose 2*b = -2*j + 26, 0*b + 4*b - 5*j = 88. Let g = b + -12. Suppose 0 = g*n - 3*h - h - 4, 4*n - h = 12. Solve -4 = 2*p, 3*p + 15 - n = a for a.
5
Suppose -c + 4*c = 3. Let r = -1 + c. Let x = 2 + r. Solve 5*f + 2*b = 11, -4*f = -x*f - 5*b - 16 for f.
3
Let w be (-176)/(-56) - 2/14. Solve -u - w*h = -2*u - 13, 3*h - 5 = 5*u for u.
2
Suppose 12 = u + 3*v, 5*u - 3*v + 14 - 2 = 0. Solve o = -5*w + 2, 3*w = o - u*w - 2 for o.
2
Let g = 27 + -23. Let n be (-20 - 0)*g/(-16). Solve -5*b + 2*v = -18, -7*v + 2 = -n*v for b.
4
Let y(v) = -3*v - 4. Let l be y(-4). Solve b - 10 = 4*c, -5*c - l = -c for b.
2
Let s(n) = -n**2 - n - 1. Let t be s(-1). Let k = 3 + t. Suppose 3*m = 4*i - 5, m = -2*i - k*m + 25. Solve v = -i*j - 12, 4*j + 3 = -v + 2*j for v.
3
Let a = 31 - 29. Solve 3*g + y - a = -0, -4*g - 4*y = 8 for g.
2
Let f be 1/(-4) - (-4)/16. Let p be 1 - (-1 + -1 - f). Solve l + 4*j = j - 12, p*l - 2*j = -3 for l.
-3
Let t(h) = -3*h - 2. Let m = -5 + 3. Let u be t(m). Solve 0 = 5*d + 2*s, 3*d - s = -u*s for d.
0
Let q be (-1309)/(-99) - 4/18. Solve -3*u + 2*u - q = -5*n, 2*u - 16 = -4*n for n.
3
Let z = 17 - 9. Let o = z + -7. Solve m + m + o = s, m = -3*s - 11 for s.
-3
Suppose 16 + 9 = 5*s. Solve 4*y + 15 = 3*u, -2*u + 10 = s*y - 0 for y.
0
Suppose 0*b = 2*b. Let a = b - -3. Solve l - 1 = a*i - 16, -5*i = -5*l - 35 for i.
4
Let z be 8/(-28) - 10/14. Let b be (z - (-16)/6)*3. Suppose b*m - 32 = 18. Solve 3*r + m + 10 = -5*i, -20 = 5*i - r for i.
-4
Let z(q) = q**3 - q**2 - q - 2. Let n = -20 - -13. Let f = n - -9. Let h be z(f). Solve 3*s + 12 = -h*v + v, 4*s + 17 = v for v.
-3
Suppose 3*l = -3*v - 6, -v - 2*v = 12. Solve 21 = -t - 5*z, l*t + 7 = -z + 1 for t.
-1
Let h = -8 - -10. Suppose -4*z + 0*k + 5*k = -22, h = -k. Solve -3*m + 8 = 4*o, z*o - 4*o = 1 for m.
4
Let m be (-26)/(-7) - 2/(-7). Suppose 0 = 4*s - 0*s - 20. Suppose -s*v + 11 = -4. Solve 4*a + x + 0*x = -11, m*a + 1 = -v*x for a.
-4
Let q be 3/9 + (-112)/(-24). Solve -o + 6 = o, -4*u = q*o - 11 for u.
-1
Suppose 5 = 4*v + v. Let c = -1 + v. Solve c = 5*f - d + 3*d - 12, 4*d - 12 = -4*f for f.
2
Let b(q) = 4*q**3 - q**2 + q - 1. Let j = -7 - -5. Let k = j + 3. Let y be b(k). Solve 4*p - 3*u - 17 = 0, 4*u - y = -3*p + 3*u for p.
2
Let r be 0*(-2 + 1)/2. Solve g - 3 = r, 0*w = w - 4*g + 17 for w.
-5
Let s be (0 - -1)*(2 + -8). Let b(q) = 10*q**2 - 9*q**2 - 2*q + 3 + 8*q. Let h be b(s). Solve -5*d = -4*d + 3*k + 8, 3*k = -h*d - 6 for d.
1
Let q(l) = l**3 + l**2 - 2. Let y be q(2). Let k be 2/9 + 301/63. Let r = k + 0. Solve j - r*w + y = -4*j, 0 = w - 5 for j.
3
Let c(q) = 3*q + 12. Let x be c(-4). Solve 3*p = 4*o + 13, x*o = o - 5*p - 1 for o.
-4
Let u(t) = -t**3 + 5*t**2 + 6*t + 5. Let h be u(6). Solve 0 = 4*a + h*x - 4, 3*x + x = -3*a + 4 for a.
-4
Let y(b) be the third derivative of -b**6/120 - b**5/15 + b**4/6 - 8*b**2. Let z be y(-5). Solve 0 = z*r - 10*r + 3*l - 5, -5 = 5*r + 4*l for r.
-1
Suppose -8*l + 5*l = 0. Solve l = 3*s - 3*j - 3, 0*j + 1 = s - 4*j for s.
1
Let u(c) = -c**2 + 6*c + 7. Let d be u(6). Solve 2*h - 11 = -0*h - 3*f, 5*h = 4*f - d for h.
1
Let c be -4 + 0 + 4 - -25. Solve -5*u + 0*u - 2*w = c, -2*u + 5*w = 10 for u.
-5
Suppose 5*i = m + 6, 5*m - i + 2*i - 100 = 0. Suppose -5*y - 1 - m = 0. Let c = -2 - y. Solve 3*a = -q - c*a - 6, 3*q - 10 = -a for q.
4
Let k be (26/10)/((-2)/(-10)). Solve 0 = -r + 4*b - k, -7*r + 4*r - 25 = -5*b for r.
-5
Let o = -9 + 23. Solve c - 4*d - o = -7*d, -c = -2*d + 11 for c.
-1
Let l(n) = 3*n**2. Let b be l(1). Suppose 3*o = 2*o - b. Let u = o + 6. Solve -3*v = a - 1, u*a - 3*v + 1 = 4 for a.
1
Suppose -4*f + 5 + 3 = 0. Solve 2 - 3 = f*u + 5*j, 4*u = -j - 11 for u.
-3
Let h be (-1 - -3)*(-1 - -2). Suppose 6 = h*x + x. Suppose -x*c + f + 41 = 0, -f + 5*f + 3 = c. Solve -2 = 2*v + 2*d, v - 5*d = -0*v + c for v.
3
Let j = 13 - 13. Solve 0 = 3*l + 3*h + 27, -5*l - 4*h - 1 - 40 = j for l.
-5
Let l = -3 + 5. Let g be 2 - (l - (3 - -1)). Solve 2*f - g + 0 = 2*p, 11 = -4*p + 5*f for p.
1
Suppose 0 = -8*k + 5*k. Solve 5*c + y + 29 = k, 0*y - 3 = -c + 2*y for c.
-5
Let p be ((-2)/(-6))/(2/18). Suppose 0 = -4*i + o + 9, 2*o = 4*i - p - 3. Let u = -1 + 3. Solve 2*n - 2*a - 4 = 0, a + 8 = -i*n + u*n for n.
-3
Suppose -29*u + 18*u + 55 = 0. Suppose -2*v + 11 = 5*f - 9, -5*v + 4 = f. Solve -r + 24 = -u*y - 2*r, 0 = -5*y + f*r - 29 for y.
-5
Let n(i) = i**3 + 4*i**2 + 2*i. Let p be n(-3). Solve h + 2*b = -4, -6 = -2*h + p*b + 7 for h.
2
Let g(f) = 2*f + 5 - 5 + f - f**2. Let b be g(3). Solve o - 2*o - 5 = b, -w - o = 3 for w.
2
Let s(r) = 2*r - 12. Let g be s(10). Suppose -k - k = -g. Solve 0 = d + a + k - 1, -2*d = -4*a - 18 for d.
1
Suppose -5*d - 45 = -5*b, 5*b + 2*d = 1 + 9. Let s = -27 - -33. Solve 0 = -2*q - 3*m - s, b*q + 17 - 5 = -m for q.
-3
Let x(o) = -o**3 - 12*o**2 + o + 14. Suppose g = -g - 24. Let m be x(g). Solve 0 = -2*s + s + q + 1, 0 = -m*s + 4*q - 2 for s.
3
Suppose 3*a + 5 = 17. Suppose -a*u - 3*y + 15 = 0, -y + 6 + 1 = 2*u. Solve 0 = -2*b, 2*i - b + 5 = -u for i.
-4
Suppose -9*l = -3*l. Solve l = g - 5*t + 9, g + t = 3*g for g.
1
Let h = -8 + 20. Suppose -4*s + h = -s. Solve -g - 5 = -z, z - s*z = 4*g - 8 for z.
4
Suppose 5*n - 40 = -5*p - 15, -p = 5*n - 13. Solve u + u - p*m - 5 = 0, 2*m + 35 = -5*u for u.
-5
Let k(t) = -3*t - 8. Let v be k(-6). Suppose 8*s + v = 3*s. Let j = s - -7. Solve -2*b + 5*d = 24, -4*b = -j*b + 5*d - 22 for b.
-2
Let a = 50 + -46. Solve 0 = -t + m + a*m - 10, -m + 11 = -2*t for t.
-5
Let k(w) = -w**3 - 19*w**2 - w - 17. Let l be k(-19). Solve 0*r + 4*r = 4*m + 28, 3*m = -l*r - 1 for r.
4
Suppose -40 = -5*u - 20. Solve 4*d + 2 = -2*m, m - 7 = u*d - 2*d for d.
-2
Let j = 7 + -5. Suppose s - 5 - 2 = -j*v, v + 9 = 2*s. Solve -x = 2*m - 3*x + 4, -s*x - 6 = 3*m for m.
-2
Let v = -24 - -39. Let z be 4/30 - (-43)/v. Solve 3*g - 15 = -2*g - 2*k, g - z = -3*k for g.
3
Let m(o) = o**3 - 7*o**2 + 2*o - 10. Let r be 3/4 + (-175)/(-28). Let p be m(r). Solve -p*g - 5*f = 4, f - 1 + 5 = -4*g for g.
-1
Let p = 2 - -1. Suppose -w - 5 = 0, -5*m - p*w + 1 + 9 = 0. Solve -5*v + m*l = -15, v - 3*l - 9 + 0 = 0 for v.
0
Let m(k) = k - 19. Let o be m(13). Let d be 3*(1 - 2)*o. Solve 4*g + 1 = 3*j, -4*j - d = 2 for g.
-4
Let r(d) = d**3 - 10*d**2 + 10*d - 9. Let a be r(9). Let h(f) = 3*f**2 - 4*f + 1 + f**2 - 5*f**2. Let c be h(-2). Solve -v + c*b = -18, a*v + b = 3*v + 2 for v.
-2
Let w(y) = -y**3 - 4*y**2 + 4*y. Let s be w(-5). Suppose -s*d = -3*t + 7, 5*t - 5*d - 5 = 10. Solve -t*j + 4*b + 8 = 0, -2*b + 4 = 5*j - 13 for j.
3
Let h(y) = -y**2 - 5*y. Let n be h(-3). Let g(j) = 3*j + 5. Let o be g(6). Let q = o - 3. Solve -5*w = 2*s - q, 3*w + 12 = -s + n*w for s.
0
Suppose -5*p = -35 + 125. Let f be (492/p)/((-4)/6). Solve 3*n = -n + 5*s - f, n - 16 = -4*s for n.
-4
Let q be (-6)/(-2)*24/9. Let z(o) = o**2 - 8*o + 3. Let g be z(q). Let j be g/6*(-1 - -15). Solve 4*p - j = r, 3*p - r - 2*r - 3 = 0 for p.
2
Let i(s) = -s**3 - 12*s**2 - 13*s - 4. Let w be i(-11). Suppose -w = -d - 0*d. Solve -3*c = c + k - d, -k - 17 = -3*c for c.
5
Let k(v) = -v**3 + 6*v**2 + 8*v - 2. Let g = -9 - -13. Let b be (2/g)/(6/84). Let n be k(b). Solve -3*s + 3*j - 6 - 9 = 0, n*j - 17 = s for s.
-2
Let z be (-3)/(-30)*5*28. Solve 2*c + 5*a + 1 = -z, -3*c - 12 = -3*a for c.
-5
Let l = -18 - -20. Suppose l*q = 3*q - 6. Solve -3*t = w - q, w - 2*t = -3*t for w.
-3
Suppose -4*g + 14 = -2. Solve 13 = g*x - 4*b + 1, 2*x + 5*b - 13 = 0 for x.
4
Let a be ((-64)/(-48))/((-1)/(-3)). Solve 0 = -5*g - 2*k - 18, 0 = -a*g - 3*k - 20 for g.
-2
Let z(r) = -r**2 - r + | {
"pile_set_name": "DM Mathematics"
} |
pose 19*f + 72831 = -5*b + 15*f, 2*f + 8 = 0. Round b to the nearest one thousand.
-15000
Let a(r) = -4509*r + 2 - 3087*r + 1760*r - 3. Let l be a(-3). Let m = -3393 - l. What is m rounded to the nearest 1000?
-21000
Let c = -3256944015 + 3256943942.999999575. Let y = c - -72. Round y to 7 decimal places.
-0.0000004
Suppose -3*x = x - 28. Suppose -x*s = -s + 7999260. Let w = 996790 - s. What is w rounded to the nearest one hundred thousand?
2300000
Let x = 5637.88 + -5484. Round x to the nearest integer.
154
Let u = 0.02285 + -0.02271372. Round u to 6 dps.
0.000136
Let z = 0.066212 - 213.083712. Let o = -213 - z. What is o rounded to 3 decimal places?
0.018
Let u(k) = -3*k + 16. Suppose -4*g + 7*b + 9 = 2*b, 21 = g + 5*b. Let t be u(g). Let d be 172800*((-8)/(-6) - t). What is d rounded to the nearest 100000?
600000
Let u = 35133 - 32233.9. Round u to the nearest 10.
2900
Let u = -0.964 - -0.963999732. What is u rounded to 7 dps?
-0.0000003
Let r = -553817 + 976225. Suppose -10*w - r = 9*w. Let f = w - 1068. What is f rounded to the nearest ten thousand?
-20000
Let i = -2497.4 - -1943. Let g = 554.33583 + i. What is g rounded to two dps?
-0.06
Let n(i) = i**3 + i + 2. Let w be n(-1). Suppose -k + 15 = -w*k. Round k to the nearest one hundred.
0
Let z = -114.1089 - -0.1089. Let p = -3703566.36 - -3703680.3600068. Let s = p + z. What is s rounded to 7 decimal places?
0.0000068
Let s = 520.845 - 368.3222. Let z = -0.0228 + s. Round z to the nearest 10.
150
Let w = 2.984 + -3.00238. What is w rounded to 3 dps?
-0.018
Let w be ((-751)/2)/(1/(-1494)). Suppose -3*k = 2*v + 561006, -2*k = k - v + w. What is k rounded to the nearest 10000?
-190000
Suppose 4*f - 4*d - 8 = 0, -d + 15 = 5*f - 7. Suppose 2*t = -1 - 3, -f*v = -2*t + 19732. Round v to the nearest one thousand.
-5000
Let n = -114.1 - -532. Let r = n - 396. What is r rounded to the nearest 10?
20
Suppose 0 = 6*m + m - 211847 + 56790. Round m to the nearest one thousand.
22000
Suppose -5*n + 8*s - 22 = 0, -3*n + 7*s = 11*s - 22. Let u = -9 + 15. Suppose a + n = 0, -4*m + u*m - 2*a - 112004 = 0. What is m rounded to the nearest 10000?
60000
Let n = 5424 + -5424.0008974. Round n to 4 dps.
-0.0009
Let w = 67.618 - -0.582. Let x = 1.63 + -106.63. Let f = w + x. Round f to the nearest 10.
-40
Let d = -1.725 - -1.3. Let i = d - -0.424095. Round i to 4 decimal places.
-0.0009
Suppose 5*h - 465319975 = 4*x, -5*x + 146*h - 581650025 = 151*h. Round x to the nearest one million.
-116000000
Let j = 59547371.471 - 59547051.47099851. Let i = 320 - j. What is i rounded to seven decimal places?
-0.0000015
Let m(c) = -159*c - 3. Let r be m(-7). Let i be 14*(6/(-6) + 18/12). Suppose i*z - 5260 = r. Round z to the nearest one hundred.
900
Let m = 5065.57 + -5078. What is m rounded to the nearest integer?
-12
Let o = -719912 + 323132. What is o rounded to the nearest 1000?
-397000
Suppose -46615015 = 2*k - 7*k. Let d = k - 2016583. Let g = 12636420 - d. What is g rounded to the nearest 1000000?
5000000
Let c = 51.398 + -0.398. Let u = c - 51.0000026. What is u rounded to six dps?
-0.000003
Let j = 5076.6199 + -5027.62. Let u = j - 49. What is u rounded to five dps?
-0.0001
Let v = -194 + 304. Suppose 5*s - 3*s = 5*n + 290, -2*n - v = -2*s. What is n rounded to the nearest one hundred?
-100
Let b(a) = 252*a**2 + 10*a + 7. Let x be b(-1). Suppose -2*j - z - 502 = -0*z, -j - z = x. What is j rounded to the nearest 100?
-300
Let z = 21506.789415 - 21533.49. Let j = 30.84 + -4.14. Let q = z + j. What is q rounded to five dps?
-0.00059
Let h(s) = 4768*s**2 - 59*s - 321. Let c be h(-6). Let q = 376681 - c. What is q rounded to the nearest 10000?
210000
Let z = 0.05621 + -0.0562125284. Round z to 6 decimal places.
-0.000003
Let w = 8144 - 8144.000005984. What is w rounded to six dps?
-0.000006
Let h = 0.844 - 0.418. Let o = -18.326 + h. Let v = -30 - o. Round v to the nearest integer.
-12
Let z = 62263.698841 + -62694.6986. Let b = z - -431. Round b to 5 dps.
0.00024
Suppose 5*c + 47 = -3*d + 197, 2*d = 0. Suppose -2*h - 3*h = -50. Let b be (h + c)/((-2)/(-7200)). What is b rounded to the nearest 10000?
140000
Let s = -0.125 - 156.875. Let x = s - -157.0069. Let o = x + -0.00690231. What is o rounded to 7 dps?
-0.0000023
Let f = 0.0095 - 0.0215. Let o = 54850.0119996 + -54850. Let p = o + f. Round p to six decimal places.
0
Let m = 335 + -145. Let q(p) = -6 - 232*p - m*p + 21 + 139*p. Let h be q(5). What is h rounded to the nearest one thousand?
-1000
Let p = -66059923.465107013877053 - 1.534877686122947. Let h = p + 66059887. Let q = -38 - h. Round q to six decimal places.
-0.000015
Let y = 1.513 + -0.576. Round y to 1 decimal place.
0.9
Let u = -4088.8018 - -4089. Round u to two dps.
0.2
Let w be ((-5)/((-15)/(-12)))/(67/3548990). What is w rounded to the nearest one thousand?
-212000
Let q = 814.82 + -21.22. Let j = 760 - q. Round j to the nearest integer.
-34
Suppose -33*g = -482 + 152. Suppose 8*l - g*l = -2780. Round l to the nearest 1000.
1000
Let y = 186 + -519. Let z = -494889222 + 494889555.000171. Let x = z + y. What is x rounded to 5 decimal places?
0.00017
Let z = -304.5876 + 303.8. What is z rounded to 1 dp?
-0.8
Let d = -66.35 - -63.5963. What is d rounded to 2 dps?
-2.75
Let d = 24.905 + -3519.505. Round d to the nearest ten.
-3490
Let o = -81328.691 - -81376. What is o rounded to zero dps?
47
Let g = -197.03 - -76.03. Let q = -10570.18 - -10694. Let a = g + q. What is a rounded to one decimal place?
2.8
Let g(l) = 746*l**2 + 16*l + 49. Let z be g(-3). Suppose -8*c + 10*c = -5*m - z, -2*c - 6760 = -4*m. What is c rounded to the nearest one hundred?
-3400
Let q = 34.8 - 33.07. Let f = 1.8 - q. Let k = 1.78 + f. What is k rounded to one decimal place?
1.9
Suppose -2*o - 1712190 = -5*o + 5*u, 1141460 = 2*o + u. Suppose -5*l = 1579270 + o. Round l to the nearest one hundred thousand.
-400000
Let n(o) be the first derivative of 6999*o**4/2 - 11*o**3/3 - 5*o**2/2 - 154. Let c be (-5)/2*6/3. Let j be n(c). Round j to the nearest 100000.
-1800000
Let t = -1109 + 8436. Round t to the nearest 1000.
7000
Let w = -14.808 + -0.292. Let r = 15.100244 + w. Round r to five dps.
0.00024
Let c = -0.049177 - -7508.849177. What is c rounded to the nearest one thousand?
8000
Let q = 338.4599927236 - 338.46. Round q to 6 decimal places.
-0.000007
Suppose -2*h - 4*f + 1 = -7*f, -12 = -3*h + f. Suppose h*p = 10*p - 26850. Round p to the nearest one hundred.
5400
Let g = 6.94254 - 0.10554. Round g to 1 dp.
6.8
Let s = 71947774.00578 - 71948350. Let r = s + 576. Round r to 3 decimal places.
0.006
Let s = -221 + 202. Let x = s - -18.98888. Round x to 4 decimal places.
-0.0111
Let s = 96.884 + -17.8536. Let l = 107 - 28. Let h = l - s. What is h rounded to 3 dps?
-0.03
Let z = -567647 + -860545. Let t = z + 403192. What is t rounded to the nearest one hundred thousand?
-1000000
Suppose 422 = 2*w + 360. Suppose -w*q = -28*q - 3000000. Round q to the nearest one hundred thousand.
1000000
Suppose -z + a - 2 + 6 = 0, 5*z = -3*a + 4. Suppose z*t + 1635 = 7*t. Let n = 627 - t. What is n rounded to the nearest one hundred?
300
Let o = -1647.0251 + 0.0251. Let j = -1646.99998669 - o. What is j rounded to six dps?
0.000013
Suppose 3*j = -t - 3*t + 42248, 2*t = j + 21134. Let f be (-2)/(-9) + t/45. What is f rounded to the nearest 10?
240
Suppose 5*h - g = 6 + 21, 3 = g. Suppose -f - 2350 = 5*w, -5*f + 4*w = -h*f - 2348. What is f rounded to the nearest one thousand?
-2000
Let q = 530.888752868 + -908.888753475. Let t = 378 + q. What is t rounded to seven dps?
-0.0000006
Let c = 14 - 14.62. Let d = c - -1.38. Let n = 1.5 - d. Round n to one dp.
0.7
Let j = -50.9 + 9.9. Let z = 41.94 + j. Let t = 0.9400039 - z. What is t rounded to six dps?
0.000004
Let o = -30186 - -30186.022249. Let i = 22.6226 - 22.6. Let q = o - i. Round q to 5 dps.
-0.00035
Let y = 0.3128 + -0.1481. Let h = 1.5467 - y. What is h rounded to 1 dp?
1.4
Let r = 0.4053 + -0.7054. What is r rounded to 2 decimal places?
-0.3
Let y = 809.5 + -808.9549. Round y to 2 dps.
0.55
Let q = -5938.97437 - -5939. Round q to three dps.
0.026
Let b = 672 - 1136. Let i = b - -464.1836. Round i to three decimal places.
0.184
Let c = -315897 + 62097. What is c rounded to the nearest 10000?
| {
"pile_set_name": "DM Mathematics"
} |
- i - 564534 + 564525.
-5*i**2 - 8*i - 9
Collect the terms in -46*r**3 + 106*r**3 - 307 - 17*r**3 - 44*r**3 - 6*r**2.
-r**3 - 6*r**2 - 307
Collect the terms in 0*g + 18217*g**2 + 0*g - 15362*g**2.
2855*g**2
Collect the terms in 24697 + 19*r**2 + 24495 - 49192.
19*r**2
Collect the terms in -4*m + 601788 + 2*m + 7*m - 7*m.
-2*m + 601788
Collect the terms in -2018634*w**2 - 5201*w - 136 + 5201*w + 2018635*w**2 + 24.
w**2 - 112
Collect the terms in 1112618 - 2225247 + 1112629 - 45*q.
-45*q
Collect the terms in -22681*t**2 + 68541*t**2 + 50011*t**2.
95871*t**2
Collect the terms in -36219586 - 8*j**2 + 50*j**2 + 36219586.
42*j**2
Collect the terms in 7 - 7 + 40*p + 236599*p**3 - 236594*p**3 + 4*p**2 - 40*p.
5*p**3 + 4*p**2
Collect the terms in 12*t - 53*t + 4 + 7*t + 9*t + 7*t + 12*t.
-6*t + 4
Collect the terms in 48142 + 2*p**3 - 48142 + 586*p**2.
2*p**3 + 586*p**2
Collect the terms in 602054*c**3 - 200748*c**3 - 200905*c**3 - 200967*c**3.
-566*c**3
Collect the terms in 512419*k**2 + 34*k + 13*k - 512423*k**2.
-4*k**2 + 47*k
Collect the terms in 95*t**3 + 7*t**2 + 16*t**2 - 37*t**2 + 12*t**2.
95*t**3 - 2*t**2
Collect the terms in 27*k**2 - 32*k**2 - 6*k**2 - 23*k**2 + 101*k**2.
67*k**2
Collect the terms in 2469 - 4941 + 2472 - 242*k**2.
-242*k**2
Collect the terms in -2498*d - 4*d**2 + 3211*d - 5906*d - 3295*d + 3*d**2.
-d**2 - 8488*d
Collect the terms in -3 + 4*j - 4*j**2 + 2 + 5*j**2 - 3*j**2 - 2*j**2.
-4*j**2 + 4*j - 1
Collect the terms in 104537812*y - 52268899*y - 52268915*y.
-2*y
Collect the terms in 27*b**2 - 27*b**2 - 529925*b**3 + 2.
-529925*b**3 + 2
Collect the terms in -g**3 + 100063110112*g - 100063110112*g - 40*g**2.
-g**3 - 40*g**2
Collect the terms in 4025613 + 4*y**2 + 4025650 - 8051263.
4*y**2
Collect the terms in -279*g**3 + 107*g**3 + 693*g**3 - 275*g**3 - 237*g**3.
9*g**3
Collect the terms in -3318371*w**2 - 40 + 40.
-3318371*w**2
Collect the terms in 2*s**2 + 120811 + 120789 + 120808 + 120811 + 120807 - 604026.
2*s**2
Collect the terms in 255*h**3 - 985*h**3 - 20*h**3.
-750*h**3
Collect the terms in 3045*g + 401*g - 1970*g.
1476*g
Collect the terms in 2*o**3 + 1222875 + 1222960 + 4*o - 2445835 - 4*o.
2*o**3
Collect the terms in -49*h**2 - h + 36*h**2 - 275*h**3 + 9*h**2.
-275*h**3 - 4*h**2 - h
Collect the terms in -22020*a**2 + 19602*a**2 + 2419*a**2 + 1 - 1.
a**2
Collect the terms in 103*u + 21 + 99*u + 5 - 14 - 6*u.
196*u + 12
Collect the terms in -3517*u**2 + 1566*u**2 + 1529*u**2 - 6 + 8.
-422*u**2 + 2
Collect the terms in -77476*g**2 + 154031*g**2 + 24868*g**2 + 210800*g**2.
312223*g**2
Collect the terms in -3143*n**3 + 2153*n**3 + 4303*n**3 + 2939*n**3.
6252*n**3
Collect the terms in -82*o + 12*o - 1 - 53*o - 82*o + 1.
-205*o
Collect the terms in 246*b**2 + 161*b**2 + 279*b**2 + 334*b**2 - 1250*b**2.
-230*b**2
Collect the terms in 2646*s + 2619*s + 2628*s - 7900*s.
-7*s
Collect the terms in -254*a**3 + 243*a**3 - 366*a**3.
-377*a**3
Collect the terms in 316*t - 14 - 213*t + 20*t + 345*t + 13.
468*t - 1
Collect the terms in 13 + 394*t**2 + 422*t**2 - 753*t**2 + 7.
63*t**2 + 20
Collect the terms in 7*p**2 + p**3 - 120 + 362 + 337*p**2 - 124 - 118.
p**3 + 344*p**2
Collect the terms in 11*p - 20345 + 10176 - 13*p + 10173.
-2*p + 4
Collect the terms in 200*o + 53*o + 69*o + 117*o - 768*o.
-329*o
Collect the terms in -1596*g**2 - 1625*g**2 + 6461*g**2 - 1594*g**2 - 1606*g**2.
40*g**2
Collect the terms in -490581383 + 490581383 - 14*a**2.
-14*a**2
Collect the terms in 944388*g - 472157*g - 15 + 6 - 472193*g + 1 + 8.
38*g
Collect the terms in -999*i**2 + 2267513 - 2267513.
-999*i**2
Collect the terms in -3742240*t - 4 + 2 + 1 - 1.
-3742240*t - 2
Collect the terms in -2*c - 2*c + 459 - 235 - 224 - 72*c**2 + 2*c.
-72*c**2 - 2*c
Collect the terms in -12 + 2006401*j - 10*j**2 - 2006401*j + 12.
-10*j**2
Collect the terms in -862*u - 846*u + 3396*u - 846*u - 842*u - u**3.
-u**3
Collect the terms in -120404*j - 2*j**3 + 194*j**2 - 194*j**2.
-2*j**3 - 120404*j
Collect the terms in -4389*a - 22 + 39 - 17.
-4389*a
Collect the terms in -19 - 15 - 562*k - 16 + 49.
-562*k - 1
Collect the terms in 17040254757936274 - 17040254757936273 - i.
-i + 1
Collect the terms in -163*q**2 + 7*q - 254*q**2 - 262*q**2 + 682*q**2.
3*q**2 + 7*q
Collect the terms in 1993*b + 11438*b + 7894*b + 22298*b.
43623*b
Collect the terms in -5653*n + 2350*n - n**2 + 644*n - 3759*n - 4982*n.
-n**2 - 11400*n
Collect the terms in 4021*r**2 + 3284 + 2128*r**2 + 3267 - 6551.
6149*r**2
Collect the terms in 78*d + 103*d - 496*d - 344*d - 116*d - 23*d.
-798*d
Collect the terms in 3*b**3 - 3944 - 96 - b**3 - 1362 - 1891.
2*b**3 - 7293
Collect the terms in 5 - 1454991*u + 727577*u - 5 + 727401*u.
-13*u
Collect the terms in 3*u + 7*u - 17*u + 8*u - u + 22*u**2.
22*u**2
Collect the terms in 53426*d + 30 + 53429*d - 16 - 106848*d.
7*d + 14
Collect the terms in -243*s + 733*s - 250*s - 242*s - 4375*s**3.
-4375*s**3 - 2*s
Collect the terms in 3360*i - 3397*i + 0 + 3 + 134.
-37*i + 137
Collect the terms in -8593*r**3 + 91145*r**2 + 4 + 0*r - 4*r - 91144*r**2 + 3*r - 4.
-8593*r**3 + r**2 - r
Collect the terms in 39111*b**3 + 1 - 3 + 3521*b**3.
42632*b**3 - 2
Collect the terms in -134*i - 532758 + 532761 - 245*i.
-379*i + 3
Collect the terms in 31596365 + 0*w - 7*w - 31596365.
-7*w
Collect the terms in -71354*s + 71354*s - 38*s**3 + 120*s**3 - 45*s**3 - 39*s**3.
-2*s**3
Collect the terms in -36*g - 64*g + 251*g - 82*g + 429 - 384 - 67*g.
2*g + 45
Collect the terms in 3010 - 1825 + 28*p - 1185.
28*p
Collect the terms in 16 + 12*i**2 + 21 + 27 - 13*i**2 - 58.
-i**2 + 6
Collect the terms in -699*t**2 + 255*t**3 + 347*t**2 + 256*t**3 + 352*t**2 - 769*t**3 + 260*t**3.
2*t**3
Collect the terms in 110 + 5845*k - 52065*k - 37319*k - 110.
-83539*k
Collect the terms in 8*j**3 - 6*j**2 + 32212 + 6*j**2.
8*j**3 + 32212
Collect the terms in 41 - 90 + 366*i**2 + 219*i**2 + 1895*i**2 + 49.
2480*i**2
Collect the terms in 1 - 653547*w - 977170*w + 18632*w.
-1612085*w + 1
Collect the terms in 664*b - 2 + 2953*b - 85*b.
3532*b - 2
Collect the terms in 93960838*f - 187921709*f + 93960853*f.
-18*f
Collect the terms in -628*n**2 - 243*n**2 + n - 7*n + 6*n.
-871*n**2
Collect the terms in -395*u**3 + 677*u**3 + 523*u**3.
805*u**3
Collect the terms in 196722*s + 1 - 3 + 0 + 212059*s.
408781*s - 2
Collect the terms in 18895*f**3 - 6160*f**3 - 6566*f**3 - 6166*f**3 + 9*f**2.
3*f**3 + 9*f**2
Collect the terms in -96788*h - 1 + 96774*h + 1.
-14*h
Collect the terms in 1661*r**2 - 443*r**2 - 574*r**2 + 1 - 1 - 448*r**2.
196*r**2
Collect the terms in 10201 + 742 - 511 + 2*z + 1198.
2*z + 11630
Collect the terms in 306089*n**2 - 152949*n**2 - 153134*n**2.
6*n**2
Collect the terms in 16*b**3 + 8*b**3 + 24*b**3 + 8*b**3 + 7*b**3 - 60*b**3.
3*b**3
Collect the terms in -1157 - 1127 - 101*s + 3428 - 1153.
-101*s - 9
Collect the terms in -599 - 40778*r**3 - 102797*r**3 + 599.
-143575*r**3
Collect the terms in 91368*c**2 - 274098*c**2 + 91365*c**2 + 91381*c**2.
16*c**2
Collect the terms in -90907*r**3 - 12064*r**3 + 15275*r**3.
-87696*r**3
Collect the terms in 20021 - 6649 - 6688 - 6684 - 7*j.
-7*j
Collect the terms in -305*s - 286*s - 288*s - 348*s + 1340*s.
113*s
Collect the terms in 582*i**3 + 586*i**3 + 365*i**3 + 587*i**3 - 2118*i**3.
2*i**3
Collect the terms in -256*x**2 - 57 - 32 + 51 + 254*x**2.
-2*x**2 - 38
Collect the terms in 4*f**3 - 2 - f**3 + 61 - 99.
3*f**3 - 40
Collect the terms in 333*f + 3344*f - 7090*f + 3347*f.
-66*f
Collect the terms in -20564 - u + 10339 + 10316.
-u + 91
Collect the terms in 2 - 2 + 264649*k**3 - 835*k - 264618*k**3.
31*k**3 - 835*k
Collect the terms in -o**3 - 12*o**2 + 66258 - 66258 + 4*o.
-o**3 - 12*o**2 + 4*o
Collect the terms in -628618 - 628624 - 628606 + 1885851 - 35*h.
-35*h + 3
Collect the terms in -409693*x**3 + 204024*x**3 - x**2 + 203968*x**3 + 3*x**2 - 2*x**2.
-1701*x**3
Collect the terms in -54 + 222 - 2246*n - 168 - 3*n**2.
-3*n**2 - 2246*n
Collect the terms in -148372563966191 - 24*y**3 + 148372563966191.
-24*y**3
Collect the terms in 13 - 29 - 73 + 7*u + 33 + 62.
7*u + 6
Collect the terms in 46107*p**2 + 46137*p**2 - 92176*p**2 - 1 - 1 + 2.
68*p**2
Collect the terms in -14848069*n - 2*n**2 - 3*n**2 + 0*n**2 + 14848069*n.
-5*n**2
Collect the terms in -65 - 125 + 413* | {
"pile_set_name": "DM Mathematics"
} |
uppose 7*l = 2*l - 4*g + 130, 3*l + 3*g = 81. What is the remainder when t is divided by l?
21
Let j be -1 + 1 - (1 - 4). Let w(y) = 4*y**2 - 2*y + 3. Calculate the remainder when w(j) is divided by 17*1 + (-1 - -1).
16
Let b(m) = -5*m - 2*m**2 - 3*m**2 + 6*m**2 - 8. What is the remainder when b(10) is divided by 15?
12
Suppose -3*f - 2*k + 154 = -f, -3*k + 306 = 4*f. What is the remainder when f is divided by 16?
11
What is the remainder when -5 - -29 - (1 + -1) is divided by 5?
4
What is the remainder when 1*(-2 - -14) + -2 is divided by (-8)/(-60) - ((-68)/(-60) - 4)?
1
Suppose -a - a = 3*y - 14, 3*y = 2*a - 2. Suppose -l - 9 = y*l, -2*p - 3*l = 3. What is the remainder when 2/(-7) - 116/(-14) is divided by p?
2
Let z(n) = n + 58. What is the remainder when z(-24) is divided by 7?
6
Suppose 71*m = 65*m + 150. Calculate the remainder when m is divided by 10.
5
Let x = 74 - 21. Suppose 0 = -d - 4, -5*p + 4*d + 18 = -3. Suppose -71 = -5*w - p. What is the remainder when x is divided by w?
11
Let k = -19 + -55. Let j = k - -113. Calculate the remainder when j is divided by 20.
19
Let c = -19 - -28. Suppose -7*m = -c*m + 44. What is the remainder when m is divided by 12?
10
Suppose -5*x = -3*c - 41, -x - 11 = -4*c + 5*c. Let p = 12 - -2. Calculate the remainder when p is divided by 6/4*(-64)/c.
6
Let g(o) = o**2 + 2*o - 1. Let n be g(1). Suppose -n*j - 1 = 1. Calculate the remainder when 17 is divided by 7 + (-1 - 3/j).
8
What is the remainder when (1 - -13)*6/4 is divided by 8?
5
Suppose -j + 39 + 14 = 0. Calculate the remainder when j is divided by 8.
5
Suppose 0 = 3*l + 8 - 47. Calculate the remainder when l is divided by 6.
1
Let s = -19 + 29. What is the remainder when 49 is divided by s?
9
Suppose -95 = -4*d - 3*i, 94 = 4*d - 0*d + 2*i. Let p = d + -17. Calculate the remainder when p is divided by 4.
2
Let s(q) = 25*q. Calculate the remainder when s(1) is divided by 7.
4
Let u be (-38)/(-8) + (-3)/(-12). Suppose 0 = 3*a, a + 2*a = -4*n. Suppose u*g - g - 40 = n. Calculate the remainder when 19 is divided by g.
9
Let q(b) = -10*b + 10. Let l be q(9). Let o be (48/5)/(12/l). Let x = 101 + o. What is the remainder when x is divided by 19?
18
Suppose -3*z - z = -148. Suppose 4*n + 25 = g + 7*n, 0 = -2*g - 5*n + 46. Calculate the remainder when z is divided by g.
11
Let u = 149 - 30. Calculate the remainder when u is divided by 24.
23
Let d(p) = 16*p - 2. Suppose 0*f - 3*f = -9. What is the remainder when d(f) is divided by 16?
14
Suppose 2*x + 14*p - 17*p - 24 = 0, -4*x + 52 = -4*p. What is the remainder when -2 - -2 - (-86)/2 is divided by x?
13
Let m = -14 + 40. Let l = 106 + -29. Calculate the remainder when l is divided by m.
25
Suppose 3*z - 2*z = 5. Calculate the remainder when 7 is divided by z.
2
Suppose -w = w + 12. Let l be w/21 - (-4)/14. Suppose 5*v + 2*x - 32 = 0, -3*v + 12 + l = 3*x. What is the remainder when 22 is divided by v?
6
Let o = 3 + -1. Suppose o*k = 6*k. Suppose k*i = i - 3. What is the remainder when i is divided by 3?
0
Let d = 8 - 8. Suppose 4*b + 0 - 4 = d. What is the remainder when 23/2 + b/2 is divided by 7?
5
Let w(a) = -2*a**3 - 6*a**2 - 2*a - 5. Suppose -41 = 5*p - 131. Calculate the remainder when w(-5) is divided by p.
15
Let c = 8 - 5. Let j = c + -2. Suppose 20 = 5*a - 5*x, 4*x - 49 + j = -4*a. Calculate the remainder when a is divided by 5.
3
Suppose 92 + 34 = 2*f. Calculate the remainder when f is divided by 13.
11
Let g = 6 - -1. Let j(i) = 2*i - 13. What is the remainder when j(12) is divided by g?
4
Calculate the remainder when 64 is divided by ((-15)/(-9))/((-10)/(-30)).
4
Let x(b) = -6*b + 3 - 2 + 3. Calculate the remainder when x(-4) is divided by 10.
8
Let y = 6 - 1. Calculate the remainder when 15 is divided by ((-18)/y)/((-10)/25).
6
Let s = -2 - -1. Calculate the remainder when 35 is divided by (1 - s) + 8 - -2.
11
Suppose 5*r - 33 = -3. Let n be (-2)/(-9) + (-12)/54. Suppose -p + 8 = 4*a - 60, p = n. Calculate the remainder when a is divided by r.
5
Let b(j) = 3*j**2 + 1. Let t be ((-4)/(-6))/((-6)/9). What is the remainder when b(t) is divided by 2?
0
Suppose -2*o = -5*v + 2*o + 123, -2*v = o - 44. Calculate the remainder when 66 is divided by v.
20
Let b = 21 + -16. What is the remainder when 6 is divided by b?
1
Suppose -37 = -w - 0. Suppose -292 + w = -5*x. What is the remainder when x is divided by 26?
25
Let a = 86 - 44. Let w = -23 + a. Calculate the remainder when 74 is divided by w.
17
Suppose -12 + 2 = -m. Suppose c + m = -2*u, 0 = -2*u - 2 - 8. Calculate the remainder when 20 - (-4 + c - -2) is divided by 8.
6
Suppose 2*l + 1 = -1. Let x(r) = -7*r**3 + r**2 - r - 1. Suppose 21 = t - j, -t + 2*t - 5*j - 17 = 0. What is the remainder when t is divided by x(l)?
6
Suppose 7*v + 155 = 12*v. Calculate the remainder when v is divided by 17.
14
Suppose -2*a + 11 + 47 = 0. What is the remainder when a is divided by 11 - (8/(-4) + 3)?
9
Suppose -4*o - 5*q + 6 = -59, 3*o = -q + 46. Calculate the remainder when o is divided by 3.
0
Let w be 406/(-35) + (-3)/(-5). Let q = w - -28. Calculate the remainder when 32 is divided by q.
15
Let q = 253 + -223. Calculate the remainder when q is divided by (4/(-2))/(8/(-44)).
8
Suppose 16 = 3*a - 5*a + 5*k, 18 = -a + 5*k. What is the remainder when 135/3 + a + 2 is divided by 13?
10
Let h = -19 - -7. What is the remainder when 45 is divided by (3 - 2)/((-1)/h)?
9
Let x(k) = -19*k + 4. Let w be x(-3). Suppose -h + 10 = a - 9, 3*a + 5*h - w = 0. What is the remainder when 48 is divided by a?
14
Let n(u) = -u**2 + 2*u. Let g be n(1). Let r(q) = 8*q**3 - q. Let c(k) = -12*k + 1. Calculate the remainder when c(-2) is divided by r(g).
4
Suppose 3*c - 27 - 12 = 0. What is the remainder when c is divided by ((-28)/(-8))/(2/4)?
6
Suppose -28 + 138 = -5*c. Let y = c - -48. Calculate the remainder when y is divided by 7.
5
Suppose m + 4 = -3*p + 21, 4*p - 20 = -m. What is the remainder when 31 is divided by m?
7
What is the remainder when 63 - (-1 - 0 - 3) is divided by 14?
11
Suppose 2*o + 7 = q, -o = -5*q + 2*o + 35. Let a(b) = -b**3 + 5*b**2 + 4*b - 9. Let p be a(6). Let v = p + 41. Calculate the remainder when v is divided by q.
6
Suppose 2*w - 2 = 8. Suppose y + 20 = w*y. Suppose 2*u - 108 - 14 = -y*z, -3*z + 4*u = -94. What is the remainder when z is divided by 9?
8
Suppose -k = 2*k - 27. Suppose -11*o + 233 = -31. What is the remainder when o is divided by k?
6
Let a = 7 - -12. Suppose -13 = 5*u - 4*u. Let c = a + u. What is the remainder when 17 is divided by c?
5
Let r be 4*((2 - -2) + -5). Let k(f) = -13*f + 4. Suppose 0 = -3*y + 35 + 22. What is the remainder when k(r) is divided by y?
18
Let c = 309 - 161. Calculate the remainder when c is divided by 30.
28
Let p = -4713 - -3225. Let x be p/(-20) + 2/(-5). Suppose 8*a - 3*a - 2*i = x, a + 2*i - 10 = 0. Calculate the remainder when a is divided by 8.
6
Suppose 13 - 4 = d. What is the remainder when 34 is divided by d?
7
Suppose 2*s = -4*g, s = -3*s + g + 9. Suppose -y - 12 = -s*v, -v - 1 = 5*y + 4. What is the remainder when 8 is divided by v?
3
Let v(s) = -s + 5. What is the remainder when 3 is divided by v(2)?
0
Suppose 3*b + 67 = 4*b. Suppose -2*p + 75 = 29. What is the remainder when b is divided by p?
21
Let c = 6 + -4. Suppose 0 = 2*q + c + 2. Calculate the remainder when (-11 + 4)*(1 + q) is divided by 3.
1
Let v = -7 - -13. Calculate the remainder when v is divided by 3.
0
Let t = -135 + 193. Calculate the remainder when t is divided by 30.
28
Suppose -4*w = -2*w - 130. Calculate the remainder when w is divided by 34.
31
Let h = 8 - 14. Calculate the remainder when (-134)/(-6) + 1/(-3) is divided by -2 + 11 + 5 + h.
6
Suppose 4*h + 10 = d + 27, d = -1. Suppose -2*j - f + 28 = -j, 2*j - 62 = -h*f. Calculate the remainder when 74 is divided by j.
24
Let t = -13 + 18. Suppose -17 = -y - 57. Calculate the remainder when t is divided by (-168)/y - 1/5.
1
Let i = 6 + -4. Suppose i*r = 6*r. Suppose r*h - 3 = -3*h. What is the remainder when 1 is divided by h?
0
Let q(j) = -j**2 - j + 7. Suppose -b - 4*b = 0. Suppose 23 = 2*c + 2*p + p, -2*p = 4*c - 26. What is the remainder when q(b) is divided by c?
3
Suppose -3*i = -0 - 18. Suppose k + 4*a = 2*k - 2, -5*a = -25. Suppose p - 3*p = -k. Calculate th | {
"pile_set_name": "DM Mathematics"
} |
1752
Multiply 0.1 and 4305.0808.
430.50808
Work out 16177 * -206.
-3332462
Product of -0.072 and -10991.
791.352
-60335 times -8
482680
Product of -240.57853 and 34.
-8179.67002
-5.4 * 41570
-224478
Work out -71677 * -31.4.
2250657.8
What is -3817.219 times 5?
-19086.095
What is the product of -0.4 and 60097529?
-24039011.6
Work out -179 * -745.
133355
Calculate -0.004*3517951.
-14071.804
Calculate 0.5*-79608457.
-39804228.5
What is 525760 times 25?
13144000
0.007508 * -598
-4.489784
Work out 2251 * 219455.
493993205
Work out 108.164 * -253.
-27365.492
-2*137272771
-274545542
What is the product of 5881.58 and -1.34?
-7881.3172
0.2*4088178
817635.6
-0.318978 * -0.0441
0.0140669298
1379 * -1259.01
-1736174.79
Work out 3283 * -23660.
-77675780
Multiply -90 and 243739.
-21936510
Multiply 23 and 2.263629.
52.063467
What is -1 times -25253098?
25253098
Product of -0.025831 and 34.6.
-0.8937526
What is 0.03 times 407.477?
12.22431
0.616741 times 92
56.740172
Product of -4 and 120.9588.
-483.8352
Work out 3769 * -2200.
-8291800
Product of -5427778 and -0.24.
1302666.72
What is -4335940 times -149?
646055060
0.4 * 493.25695
197.30278
0.726387 * 0.17
0.12348579
7337 * -167
-1225279
Multiply 0.4 and -2345.109.
-938.0436
-0.27861656*-2.4
0.668679744
4356 * 638.7
2782177.2
Product of -0.1416 and 492.
-69.6672
2*-40.402936
-80.805872
What is the product of 56832518 and -3?
-170497554
Multiply 11358 and 1293.
14685894
Product of -3.8 and 4259480.
-16186024
Multiply 128908 and -0.5.
-64454
What is the product of 0.2 and 16.66627?
3.333254
What is 278530 times 0.106?
29524.18
-43.33 times 3.97
-172.0201
Work out -0.192 * -303931.7.
58354.8864
Multiply 68304784 and 4.
273219136
-15810647 * 0
0
21236*-3176
-67445536
-26071*0.0318
-829.0578
Work out -60183 * -64.
3851712
19522.0046*3
58566.0138
-0.5 times -0.005922769
0.0029613845
Product of -0.06 and 2586614.
-155196.84
Calculate 13091728*0.3.
3927518.4
Multiply 30479.2 and -0.014.
-426.7088
What is 107181 times 1175?
125937675
-18386 * -1.612
29638.232
What is the product of -1696063 and 0.051?
-86499.213
What is 94.527 times -15?
-1417.905
Multiply 140.2413 and -8.4.
-1178.02692
What is the product of 40.00407 and 0.13?
5.2005291
Work out -0.6 * 1167030.
-700218
866.474 times 1.1
953.1214
What is -0.1844599 times -13?
2.3979787
Calculate 0.1301035*37.4.
4.8658709
Calculate -5243816*155.
-812791480
Product of 14888 and -0.106.
-1578.128
3704.2*-309
-1144597.8
Calculate 222325*0.1.
22232.5
What is the product of 249320530 and 0.5?
124660265
What is 458320 times -9?
-4124880
-0.611*49960
-30525.56
951983 times 0.28
266555.24
-70.11*230.2
-16139.322
What is 0.743 times -2.24?
-1.66432
Multiply 550249 and 115.
63278635
What is the product of -53 and -3.17944?
168.51032
-179621 times 2.331
-418696.551
0.04939831 times -10
-0.4939831
0.13 * -0.35994218
-0.0467924834
What is the product of -0.037949 and 12.1?
-0.4591829
Product of -0.035 and 593946.
-20788.11
-44688 times 1264
-56485632
What is the product of -6294.4 and -1.1?
6923.84
Calculate -4.491*5046.
-22661.586
What is -41327.3 times -0.1?
4132.73
Work out 11.5 * 0.168452.
1.937198
0.03*0.6676022
0.020028066
Multiply -17 and 2180878.
-37074926
What is the product of 28 and 568332?
15913296
1662725 times 7.1
11805347.5
Work out 0.3 * -78444746.
-23533423.8
63564 times -29.9
-1900563.6
Work out 0.32 * -3235567.
-1035381.44
What is -53.459451 times -0.1?
5.3459451
What is 52 times 186651?
9705852
Calculate -0.3*0.081514.
-0.0244542
Multiply 6685 and 7.58.
50672.3
Calculate 9369464*-0.4.
-3747785.6
Calculate -0.03222*-846.
27.25812
What is -0.48 times 13063?
-6270.24
Work out -1660 * 14216.
-23598560
0.4 * 40478827
16191530.8
Work out -0.02 * 0.3987692.
-0.007975384
What is the product of 336 and -715?
-240240
What is 5 times 0.06981394?
0.3490697
Calculate -0.26*-353358.
91873.08
What is -25 times 4971820?
-124295500
-0.3 * -336056.2
100816.86
What is the product of 4 and 10495933?
41983732
Multiply -65760 and -66.
4340160
Calculate 0.2095*4752.
995.544
Work out -218140 * -638.
139173320
22.1*42291.3
934637.73
What is the product of -1795239 and 0.1?
-179523.9
-4.957 * -3811.7
18894.5969
-35398*2.8
-99114.4
Multiply -67514 and -0.04.
2700.56
-2626460 * 0.024
-63035.04
What is the product of 16113222 and 12?
193358664
-5 times -156377
781885
0.088 times 8020691
705820.808
Calculate 128164*63.
8074332
1055.912*-1
-1055.912
What is 0.2 times 88.4736?
17.69472
Work out -114 * 3037404.
-346264056
Multiply 0.084 and -2.169168.
-0.182210112
Product of 1.1 and -31701669.
-34871835.9
What is the product of -1.1 and 0.001214819?
-0.0013363009
What is the product of 2 and 17726.88?
35453.76
What is -5 times -142712697?
713563485
-834.7*588
-490803.6
Calculate -5.236*12.647.
-66.219692
Calculate -2*8.979289.
-17.958578
What is 2 times -532311?
-1064622
Product of -2797 and 759.5.
-2124321.5
Multiply 8877 and -222.
-1970694
-92.09 * -11885
1094489.65
Calculate -312.032*-0.129.
40.252128
Calculate 0.1*-6773432.
-677343.2
Multiply 1589.9 and 7235.
11502926.5
0.5 times -410.92792
-205.46396
Multiply 2 and 3364318.
6728636
Product of 1.2 and -5815.82.
-6978.984
Calculate -655.0866*-5.
3275.433
Product of -0.0158855 and -546.
8.673483
Calculate 5*34094.9.
170474.5
7.7521 times 91
705.4411
What is the product of -319 and -2238.75?
714161.25
17485.4642 * 0
0
814.04 times -199
-161993.96
What is 9 times 1000235?
9002115
Calculate -375.809*-28.9.
10860.8801
-0.314034*-23
7.222782
What is -15.1 times 115611?
-1745726.1
Work out -2.47152 * 0.1515.
-0.37443528
Work out -33760.8 * -0.83.
28021.464
Work out 0.3 * -29358652.
-8807595.6
Calculate -7.95*-3.245.
25.79775
Work out -1144 * 331.1.
-378778.4
What is the product of -0.0703319 and 3?
-0.2109957
What is the product of 0.1 and 11.143429?
1.1143429
What is the product of 0.03 and 610016?
18300.48
What is the product of -5 and -86266.6?
431333
-0.1142*207481
-23694.3302
-0.0168776*-0.22
0.003713072
Work out -4 * -1845208.
7380832
Product of 0.18 and -0.005538.
-0.00099684
Product of 29.876156 and 0.1.
2.9876156
Product of 24 and 475.41.
11409.84
Calculate 3.465*8017.
27778.905
-0.74 times -3532603
2614126.22
-84.684 * 278
-23542.152
-0.5 * -744891
372445.5
What is 0.4 times 2226419?
890567.6
Multiply 0.032 and -2980135.
-95364.32
What is -37539 times 3513?
-131874507
258500*-1779
-459871500
Multiply -648 and -94803.
61432344
Multiply -32 and -2.26295.
72.4144
What is -0.3851 times -3510?
1351.701
Calculate -0.2*86.86721.
-17.373442
Multiply 401597 and -10.
-4015970
Product of -1.771 and 1.621.
-2.870791
Work out -0.4 * -1832575.
733030
What is the product of -30 and -336951?
10108530
Calculate 13601840*1.
13601840
39.6871 times -8
-317.4968
-43106.3*451
-19440941.3
What is the product of 0.0468 and -6363?
-297.7884
-2 * -10711.39
21422.78
Multiply -0.1 and -17065512.
1706551.2
Product of 0.5 and 12356.
6178
Calculate 48077935*-0.5.
-24038967.5
-62 times 786830
-48783460
55556.74*3.2
177781.568
1271 * -5149
-6544379
0.027818 * -57.7
-1.6050986
What is the product of 0.26 and 5107?
1327.82
Work out 3.740054 * 1.
3.740054
Work out 10482 * 41145.
431281890
-153 times -190279
29112687
Work out -30.582 * 549.8.
-16813.9836
Multiply -114476.658 and 0.3.
-34342.9974
0.17 times -392829
-66780.93
0.4 * -1566.19753
-626.479012
Calculate -0.340917*-32.
10.909344
Product of 0.3 and -14.8479183.
-4.45437549
-24.3 * -1945788
47282648.4
-6344 times -0.0486
308.3184
Product of -0.2 and 81873.32.
-16374.664
Work out -0.1 * 283473765.
-28347376.5
Product of 37 and -5716129.
-211496773
-2604457*-39
101573823
Product of 1.456 and -38872.
-56597.632
Multiply -3 and -52828162.
158484486
Multiply -33783 and 12.
-405396
Work out 32995 * -503.
-16596485
Product of -2509.67 and 0.7.
-1756.769
20564.6502 times -2
-41129.3004
What is the product of -0.3441075 and 6?
-2.064645
Work out 447.7 * 2.094.
937.4838
Product of -10663491 and 1.
-10663491
What is the product of -71.7 and -4.9789?
356.98713
-3701 * -1884.6
6974904.6
-0.12 * -4.54176
0.5450112
What is 149126 times -0.1062?
-15837.1812
-161 times -23450
3775450
Product of -74 and 566443.
-41916782
Calculate 43699186.8*4.
174796747.2
What is 7719 times -4.1489?
-32025.3591
Work out -31982 * 0.045.
-1439.19
| {
"pile_set_name": "DM Mathematics"
} |
or of 357 and 42?
21
Calculate the greatest common divisor of 21 and 3318.
21
Calculate the highest common factor of 32 and 56.
8
What is the greatest common factor of 38 and 2774?
38
Calculate the highest common divisor of 59 and 54221.
59
What is the highest common divisor of 7476 and 14?
14
Calculate the greatest common divisor of 31752 and 294.
294
Calculate the greatest common divisor of 14 and 42.
14
Calculate the greatest common factor of 1 and 1009.
1
Calculate the highest common factor of 225 and 360.
45
What is the greatest common divisor of 8512 and 2926?
266
What is the highest common divisor of 361 and 551?
19
Calculate the greatest common divisor of 12 and 16152.
12
What is the greatest common divisor of 275 and 143?
11
Calculate the highest common divisor of 160341 and 29.
29
Calculate the highest common divisor of 348 and 12.
12
What is the greatest common factor of 576 and 192?
192
What is the greatest common factor of 178 and 14418?
178
What is the highest common divisor of 854 and 182?
14
Calculate the greatest common divisor of 115 and 15.
5
Calculate the highest common factor of 426 and 12.
6
What is the highest common factor of 77 and 99?
11
What is the greatest common divisor of 175 and 50?
25
Calculate the highest common factor of 31 and 11129.
31
What is the greatest common factor of 99 and 891?
99
Calculate the highest common divisor of 27 and 666.
9
Calculate the highest common divisor of 1102 and 116.
58
Calculate the highest common factor of 151 and 3.
1
Calculate the highest common divisor of 572 and 4.
4
Calculate the highest common factor of 116 and 268.
4
Calculate the greatest common divisor of 26 and 767.
13
What is the greatest common factor of 85816 and 136?
136
Calculate the highest common factor of 9955 and 44.
11
Calculate the highest common divisor of 333 and 185.
37
What is the greatest common factor of 1144 and 13?
13
What is the greatest common divisor of 1000 and 31400?
200
What is the highest common factor of 30 and 4?
2
Calculate the greatest common divisor of 46 and 2.
2
What is the greatest common divisor of 72 and 128?
8
Calculate the greatest common factor of 3418 and 4.
2
What is the highest common divisor of 2037 and 294?
21
Calculate the greatest common divisor of 22464 and 64.
64
Calculate the highest common factor of 23 and 2783.
23
What is the highest common factor of 45 and 25?
5
What is the highest common divisor of 88 and 396?
44
Calculate the highest common factor of 184 and 56.
8
What is the highest common factor of 275 and 19525?
275
What is the highest common divisor of 578 and 102?
34
Calculate the highest common divisor of 452 and 8.
4
What is the highest common factor of 7 and 1792?
7
What is the greatest common divisor of 32 and 800?
32
Calculate the highest common divisor of 44 and 803.
11
Calculate the highest common divisor of 9 and 963.
9
Calculate the greatest common divisor of 49 and 833.
49
What is the greatest common factor of 60 and 2940?
60
What is the greatest common divisor of 12 and 18696?
12
Calculate the highest common divisor of 2354 and 22.
22
Calculate the greatest common divisor of 368 and 688.
16
What is the greatest common divisor of 244 and 40?
4
Calculate the greatest common divisor of 352 and 154.
22
What is the highest common divisor of 5900 and 50?
50
What is the highest common factor of 931 and 2646?
49
Calculate the greatest common divisor of 1806 and 42.
42
What is the greatest common factor of 22339 and 251?
251
What is the highest common factor of 132 and 5181?
33
What is the highest common factor of 645 and 135?
15
Calculate the greatest common divisor of 32 and 432.
16
Calculate the highest common factor of 715 and 3003.
143
Calculate the greatest common divisor of 3978 and 936.
234
Calculate the greatest common divisor of 50 and 6630.
10
Calculate the greatest common divisor of 1748 and 23.
23
What is the greatest common factor of 1880 and 16?
8
Calculate the greatest common factor of 104 and 3016.
104
Calculate the greatest common factor of 1053 and 572.
13
Calculate the greatest common factor of 93 and 217.
31
What is the highest common factor of 19 and 475?
19
What is the highest common factor of 16 and 7792?
16
What is the highest common divisor of 41 and 3?
1
What is the highest common divisor of 625 and 25?
25
Calculate the highest common factor of 106 and 36994.
106
Calculate the greatest common factor of 244 and 1098.
122
Calculate the greatest common factor of 1824 and 36.
12
Calculate the highest common factor of 60 and 510.
30
Calculate the highest common factor of 27 and 1233.
9
What is the highest common divisor of 255 and 75?
15
Calculate the greatest common factor of 270 and 75.
15
What is the highest common factor of 710 and 70?
10
Calculate the greatest common divisor of 15 and 12.
3
What is the greatest common factor of 2006 and 102?
34
Calculate the greatest common factor of 30 and 5430.
30
What is the highest common factor of 442 and 182?
26
Calculate the highest common divisor of 97 and 1649.
97
What is the highest common divisor of 220 and 88?
44
Calculate the greatest common divisor of 441 and 2499.
147
What is the highest common factor of 352 and 112?
16
Calculate the highest common factor of 851 and 92.
23
Calculate the highest common divisor of 345 and 15.
15
Calculate the highest common divisor of 19 and 85177.
19
What is the highest common divisor of 1735 and 60?
5
What is the greatest common divisor of 2282 and 1793?
163
What is the highest common factor of 6 and 174?
6
Calculate the greatest common divisor of 40898 and 26.
26
Calculate the highest common divisor of 200 and 810.
10
What is the highest common factor of 2304 and 9?
9
What is the greatest common divisor of 92 and 13708?
92
Calculate the greatest common divisor of 2 and 74.
2
Calculate the highest common divisor of 91 and 182.
91
What is the highest common divisor of 184 and 69?
23
What is the highest common factor of 3348 and 288?
36
What is the highest common divisor of 1035 and 6003?
207
Calculate the highest common divisor of 22 and 44.
22
What is the greatest common divisor of 36 and 1536?
12
What is the greatest common divisor of 3478 and 94?
94
Calculate the greatest common divisor of 8 and 4.
4
Calculate the greatest common factor of 227 and 7264.
227
What is the highest common factor of 320 and 20?
20
What is the highest common divisor of 3680 and 345?
115
Calculate the greatest common factor of 18 and 162.
18
What is the greatest common factor of 9485 and 3252?
271
What is the highest common divisor of 17934 and 294?
294
What is the highest common divisor of 24 and 84?
12
What is the highest common divisor of 222 and 666?
222
What is the greatest common divisor of 9 and 17757?
9
What is the highest common divisor of 87 and 464?
29
Calculate the greatest common factor of 19 and 19.
19
What is the highest common factor of 105 and 21?
21
What is the greatest common factor of 329 and 141?
47
Calculate the highest common factor of 16370 and 10.
10
Calculate the highest common divisor of 2501 and 205.
41
What is the greatest common divisor of 3195 and 360?
45
What is the greatest common factor of 54 and 6291?
27
Calculate the highest common divisor of 83 and 913.
83
What is the highest common divisor of 90 and 54?
18
What is the greatest common factor of 1429 and 2?
1
Calculate the highest common factor of 747 and 72.
9
Calculate the greatest common divisor of 13 and 4.
1
What is the highest common divisor of 1325 and 954?
53
Calculate the greatest common divisor of 35 and 189.
7
Calculate the greatest common factor of 70 and 1470.
70
Calculate the greatest common factor of 760 and 1330.
190
Calculate the highest common divisor of 16 and 48.
16
What is the highest common factor of 17 and 12393?
17
What is the greatest common divisor of 81 and 36?
9
What is the highest common divisor of 279 and 81?
9
What is the highest common factor of 494 and 1254?
38
Calculate the highest common factor of 627 and 95.
19
What is the greatest common factor of 28 and 28?
28
Calculate the highest common factor of 95 and 20.
5
What is the greatest common divisor of 14986 and 118?
118
What is the greatest common divisor of 8 and 1592?
8
Calculate the greatest comm | {
"pile_set_name": "DM Mathematics"
} |
entimeters are there in 3/10 of a meter?
30
How many micrometers are there in seventy-seven halves of a millimeter?
38500
What is one sixth of a decade in months?
20
What is 249093.8 kilograms in nanograms?
249093800000000000
How many tonnes are there in 782.6212kg?
0.7826212
How many months are there in 2.607913 years?
31.294956
What is 42.239322 seconds in hours?
0.011733145
What is 92376.76g in milligrams?
92376760
What is 0.9441655 milligrams in tonnes?
0.0000000009441655
How many months are there in twenty-three thirds of a millennium?
92000
How many nanograms are there in 5599.726 grams?
5599726000000
How many litres are there in 67.78989ml?
0.06778989
What is 477.7794ns in milliseconds?
0.0004777794
What is 2/125 of a tonne in kilograms?
16
What is 29.21844 months in decades?
0.243487
How many weeks are there in 65904.552 minutes?
6.53815
How many minutes are there in 25/2 of a hour?
750
How many nanograms are there in one tenth of a microgram?
100
How many months are there in 5/4 of a decade?
150
What is 88992.69 millennia in decades?
8899269
How many hours are there in 1919.598 minutes?
31.9933
Convert 39540828.6 minutes to weeks.
3922.70125
How many millilitres are there in twenty-one eighths of a litre?
2625
What is 97516.75 decades in millennia?
975.1675
Convert 602655.2 tonnes to kilograms.
602655200
How many milligrams are there in 4969.117ng?
0.004969117
What is seventeen quarters of a litre in millilitres?
4250
What is 2161.721l in millilitres?
2161721
What is nineteen quarters of a hour in seconds?
17100
How many litres are there in 34175.45ml?
34.17545
How many months are there in one sixth of a millennium?
2000
How many millimeters are there in 1/20 of a meter?
50
How many millennia are there in 1487.505 years?
1.487505
Convert 5555.227 years to decades.
555.5227
How many minutes are there in 4/21 of a week?
1920
How many meters are there in 5.619517nm?
0.000000005619517
What is 1.625944 litres in millilitres?
1625.944
How many hours are there in 67.751469ns?
0.0000000000188198525
Convert 6.73852 decades to years.
67.3852
What is 38557.02 days in minutes?
55522108.8
What is 37/5 of a litre in millilitres?
7400
How many seconds are there in 8813.391 minutes?
528803.46
How many litres are there in 12676.1ml?
12.6761
What is 657.8894 nanograms in milligrams?
0.0006578894
What is 9/10 of a decade in months?
108
Convert 5.690564 micrometers to millimeters.
0.005690564
What is 20/9 of a day in minutes?
3200
Convert 753399.3 litres to millilitres.
753399300
How many nanometers are there in 3/5 of a micrometer?
600
Convert 9883.904 nanograms to micrograms.
9.883904
Convert 5320.749 days to weeks.
760.107
What is fourty-two fifths of a micrometer in nanometers?
8400
What is 87/5 of a litre in millilitres?
17400
Convert 516250.2 days to nanoseconds.
44604017280000000000
How many years are there in seventy-four fifths of a century?
1480
What is 3/8 of a litre in millilitres?
375
What is three sevenths of a week in days?
3
What is 0.3883757g in kilograms?
0.0003883757
What is fourty-eight fifths of a century in decades?
96
What is 5897.877ng in tonnes?
0.000000000005897877
What is twenty-one halves of a millennium in decades?
1050
Convert 7370.38 milligrams to grams.
7.37038
Convert 2.2071ml to litres.
0.0022071
What is three fifths of a kilogram in grams?
600
What is 5/4 of a millennium in years?
1250
Convert 175228.95 minutes to hours.
2920.4825
What is 3/16 of a century in months?
225
Convert 0.6277373 micrometers to nanometers.
627.7373
How many millilitres are there in thirteen eighths of a litre?
1625
What is 2478.6987ns in minutes?
0.000000041311645
What is twenty-one halves of a gram in milligrams?
10500
What is 17/2 of a meter in centimeters?
850
How many nanometers are there in three fifths of a micrometer?
600
How many nanograms are there in fourty-nine quarters of a microgram?
12250
How many decades are there in 8513.77 millennia?
851377
Convert 4387.604 tonnes to grams.
4387604000
Convert 68663.38 litres to millilitres.
68663380
Convert 0.1362065cm to kilometers.
0.000001362065
Convert 973.823 centuries to years.
97382.3
How many millilitres are there in 5/4 of a litre?
1250
How many nanometers are there in 13.24317km?
13243170000000
How many nanometers are there in 11/4 of a micrometer?
2750
What is 0.1954458mm in nanometers?
195445.8
How many hours are there in 11/8 of a week?
231
What is 0.0895457 decades in months?
10.745484
Convert 263028.5 days to seconds.
22725662400
How many millennia are there in 0.2221893 centuries?
0.02221893
What is eleven halves of a litre in millilitres?
5500
What is fifty-seven fifths of a litre in millilitres?
11400
How many litres are there in 13848.77 millilitres?
13.84877
What is 20.05804 millimeters in micrometers?
20058.04
What is 4/15 of a decade in months?
32
What is 1.916838 months in decades?
0.01597365
How many millilitres are there in three fifths of a litre?
600
What is 18804.52g in kilograms?
18.80452
What is fifty-one halves of a millennium in years?
25500
What is 55/4 of a decade in months?
1650
How many litres are there in 8.011976ml?
0.008011976
How many milliseconds are there in 6/25 of a second?
240
What is eleven eighths of a tonne in kilograms?
1375
How many milliseconds are there in 1/24 of a minute?
2500
What is 1/5 of a minute in seconds?
12
What is one tenth of a meter in millimeters?
100
How many millilitres are there in eleven halves of a litre?
5500
What is 1/45 of a day in seconds?
1920
What is 1/64 of a kilogram in milligrams?
15625
Convert 11712.9m to millimeters.
11712900
How many minutes are there in seventeen ninths of a week?
19040
Convert 71.0569 nanometers to micrometers.
0.0710569
What is thirteen eighths of a litre in millilitres?
1625
How many millilitres are there in 30877.63 litres?
30877630
What is 27/4 of a hour in seconds?
24300
What is 3/5 of a microgram in nanograms?
600
What is 3/5 of a kilometer in meters?
600
How many months are there in 405.3387 millennia?
4864064.4
How many millilitres are there in 3/8 of a litre?
375
Convert 244446.39s to hours.
67.901775
What is 46522.19 centuries in decades?
465221.9
What is 0.1407091 decades in millennia?
0.001407091
What is 4.950098 nanometers in micrometers?
0.004950098
What is 5.630909 weeks in microseconds?
3405573763200
Convert 51.37685 days to weeks.
7.33955
Convert 632.6702 decades to years.
6326.702
Convert 2.09883 months to centuries.
0.001749025
How many centimeters are there in 3/5 of a kilometer?
60000
How many millilitres are there in 3/5 of a litre?
600
What is 80679.05 nanometers in meters?
0.00008067905
What is 7182.26 milligrams in micrograms?
7182260
What is five sixths of a day in hours?
20
How many hours are there in 388.32732us?
0.0000001078687
What is 8207.697 kilometers in meters?
8207697
What is 8.18324 years in decades?
0.818324
How many years are there in fifty-two fifths of a decade?
104
What is 19/4 of a litre in millilitres?
4750
What is 3/8 of a millimeter in micrometers?
375
How many minutes are there in twenty-three eighths of a day?
4140
How many centimeters are there in 1/5 of a kilometer?
20000
How many micrometers are there in nineteen tenths of a millimeter?
1900
What is three fifths of a kilometer in meters?
600
Convert 1742.467 grams to micrograms.
1742467000
How many micrograms are there in 11/10 of a milligram?
1100
Convert 479515.3 kilometers to meters.
479515300
Convert 7.455806cm to nanometers.
74558060
How many centuries are there in 1.408444 years?
0.01408444
Convert 0.703626 millilitres to litres.
0.000703626
How many grams are there in 59.805 kilograms?
59805
What is twenty-one halves of a week in hours?
1764
What is 709785.6 days in nanoseconds?
61325475840000000000
How many litres are there in 98.6039ml?
0.0986039
What is 231683.8t in milligrams?
231683800000000
What is 45/8 of a centimeter in micrometers?
56250
What is 265.8663g in kilograms?
0.2658663
Convert 7.565352 centuries to decades.
75.65352
What is one fifth of a second in milliseconds?
200
How many nanoseconds are there in one quarter of a microsecond?
250
How many nanometers are there in 7/25 of a micrometer?
280
Convert 914.6728 weeks to minutes.
9219901.824
What is 6.129012 litres in m | {
"pile_set_name": "DM Mathematics"
} |
*p - 18 - 2 = 0. Let v(j) = -1. Let n(c) be the third derivative of 0*c - 1/12*c**4 + 0 + 43*c**2 - 1/2*c**3. Give q*v(z) + n(z).
-2*z + 1
Let h(l) = 3561*l**2 + 10*l - 16. Let c(x) = -14238*x**2 - 42*x + 67. What is 6*c(u) + 25*h(u)?
3597*u**2 - 2*u + 2
Let z(v) = 4*v**3 + 3*v**2 + 6*v + 1. Let r(b) = -5*b**3 - 4*b**2 - 7*b - 2. Let c be 11 + (9 - 18) - 5. Give c*r(p) - 4*z(p).
-p**3 - 3*p + 2
Let c(i) be the first derivative of -3*i**2 + 9*i + 9602. Suppose v = -v + 4. Let l(k) = 2*k - 3. Give v*c(p) + 7*l(p).
2*p - 3
Let r(b) = -13*b**3 + 7*b**2. Let j(f) be the second derivative of -44 + 1/5*f**5 - f - 1/6*f**4 + 0*f**3 + 0*f**2. Determine 21*j(u) + 6*r(u).
6*u**3
Let c = 6725 - 6722. Let g(k) = 6*k**3 + 3*k**2 + 10. Let m(q) = -2*q**3 - q**2 - 3. Give c*g(a) + 8*m(a).
2*a**3 + a**2 + 6
Let p(o) = 8*o**2 - 3*o + 2. Let y(w) = -4*w**2 + 2*w - 1. Let k(x) = 6*p(x) + 11*y(x). Let b(i) = -4*i**2 - 4*i - 2. Calculate -2*b(u) - 3*k(u).
-4*u**2 - 4*u + 1
Let k(n) = -18*n - 1. Let b(z) be the third derivative of 3*z**4/2 + z**3/3 - 3048*z**2. Give -2*b(p) - 5*k(p).
18*p + 1
Let u(r) = 6*r**2 - 6*r - 332. Let s(j) = -2*j**2 + 2*j + 111. Give 7*s(t) + 2*u(t).
-2*t**2 + 2*t + 113
Let k(c) = -7*c**2 + 2*c. Let g(p) = 4021 - 5*p**2 + 39*p**2 - 11*p - 2015 - 2006. What is 2*g(u) + 11*k(u)?
-9*u**2
Let z(f) = 1033*f**2 - 6*f + 74. Let m(u) = 1032*u**2 - 5*u + 59. Calculate 5*m(t) - 4*z(t).
1028*t**2 - t - 1
Let p(n) = n**2 - n - 1. Let y(c) = -6*c**2 + 7*c + 7. Suppose 202*k = 192*k + 10. Calculate k*y(s) + 5*p(s).
-s**2 + 2*s + 2
Let k(t) = 3*t - 2. Let w(o) = 38*o + 1. Give -4*k(b) + w(b).
26*b + 9
Let f(u) = -2*u - 2. Let t(a) = -6*a + 53. Let d(l) = 4*l - 33. Let q(b) = 8*d(b) + 5*t(b). Calculate 2*f(o) + 3*q(o).
2*o - 1
Let u(z) = 14744*z - 26. Let k(s) = 3684*s - 7. What is -11*k(x) + 3*u(x)?
3708*x - 1
Let g(b) = -2*b + 4. Let y(o) = 1. Suppose 67*p - 435 = -20*p. Determine p*y(v) - g(v).
2*v + 1
Suppose 5*y + v = 9, -4*y + 1 = y - v. Let o(z) = -z. Let s(c) = 29*c. What is y*s(k) + 6*o(k)?
23*k
Let u(x) = 16*x - 23. Let s(o) = 19*o - 23. What is -5*s(d) + 4*u(d)?
-31*d + 23
Let u(s) be the first derivative of s**2 - 13*s + 11/3*s**3 - 5. Let w(j) = -239*j**2 + 17 - j + 234*j**2 - 11. Give 6*u(l) + 13*w(l).
l**2 - l
Let f(u) = 999*u - 99. Let g = 6548 + -6449. Let q(z) = 40*z - 4. What is g*q(a) - 4*f(a)?
-36*a
Suppose -5*t - 17 = 2*k - 2, -2*k + 10 = 0. Let z(q) = -6*q**2 + 5*q - 6. Let u(g) = -7*g**2 + 6*g - 7. Give t*u(i) + 6*z(i).
-i**2 - 1
Let i(v) = 138*v. Let d(f) = -19*f**2 - 130*f - 1. What is d(w) + i(w)?
-19*w**2 + 8*w - 1
Let k(y) = 5*y. Let g(m) = 9*m. Let a(b) = -b**2 - 7*b - 4. Let r be a(-7). Let q(p) = r*g(p) + 7*k(p). Let w = 5 + -9. Let j(n) = 7*n. What is w*q(i) - j(i)?
-3*i
Let l(s) be the first derivative of -4*s**3/3 - s**2 + 3*s + 1. Let q(k) = k**2 - 1. Let y = 3625 - 3624. What is y*l(t) + 2*q(t)?
-2*t**2 - 2*t + 1
Let z be (16 - 2) + -19 + 8. Let a(l) = -l - 1. Let j(r) = -r**3 + 5*r + 6. What is z*a(d) + j(d)?
-d**3 + 2*d + 3
Let q(p) = 4*p**2 + 2*p. Suppose 0*l - l = -1. Let d be l + 1/1 + 0. Let s(k) = -5*k + 1599292104 - 1599292104 - 9*k**2. What is d*s(h) + 5*q(h)?
2*h**2
Let f(b) = -b**3 - b - 2. Let k(a) = 14234*a**3 + 7117*a + 14234. Determine -7117*f(q) - k(q).
-7117*q**3
Suppose -4*a = -2*t - 42, -8 + 11 = 3*t. Let m(c) = 10*c. Let g(o) = -2*o - 5*o + 2*o. What is a*g(k) + 6*m(k)?
5*k
Let b = -294 - -145. Let n = b - -160. Let x(r) = -1804*r - n + 1804*r + 5*r**3. Let s(j) = -2*j**3 + 4. Calculate -8*s(o) - 3*x(o).
o**3 + 1
Let g(r) = r + 3. Let o(d) = -4*d - 8. Suppose -20 - 5 = -5*a. Suppose a*l = -0*l. Suppose k - 5*k = h - 27, -3*k - 5*h - 1 = l. Calculate k*g(c) + 3*o(c).
-4*c
Let w(i) = 1 - 7*i**2 - 12 + 4*i - 7 + i**3 - 5. Let r be w(7). Let d(z) = -3*z**2 + 9*z - 5. Let j(q) = -5*q**2 + 14*q - 8. Determine r*j(a) - 8*d(a).
-a**2 - 2*a
Let b(w) be the third derivative of 0 - 1/6*w**3 + 0*w + 167*w**2 + 0*w**4 + 1/20*w**5. Let u(q) = -7*q**2 - q + 3. Calculate -5*b(l) - 2*u(l).
-l**2 + 2*l - 1
Let g(n) = 9*n - 33. Let h(b) = 30 + 22 - 103 + 26 + 26. Calculate -4*g(f) - 132*h(f).
-36*f
Let c(w) = 96*w + 5*w - 101*w + 3*w**3 + 3*w - 11. Let t(a) = -4*a**3 - 3*a + 12. Calculate -6*c(m) - 5*t(m).
2*m**3 - 3*m + 6
Let z(o) be the first derivative of -2*o**2 + o + 4882. Let t(g) = 3*g - 2. Give -2*t(p) - 3*z(p).
6*p + 1
Let r(w) = 69*w - 17. Let x = 768 + -775. Let f(o) = 46*o - 11. Let t(c) = x*f(c) + 5*r(c). Let z(p) = 8*p - 3. What is -4*t(u) + 11*z(u)?
-4*u - 1
Let d(w) = -2. Let v = -321 - -332. Suppose 0 = -y + v*y + 40. Let a(k) = k - 11. Calculate y*a(m) + 22*d(m).
-4*m
Let p(k) = -k**2 - 8*k - 2. Let w(h) = -2*h**2 - 9*h - 3. Let s = 770 - 714. Let c be (-42)/s*12/(-9) + -4. Determine c*p(u) + 2*w(u).
-u**2 + 6*u
Let l(c) = 4221*c**3 + 4*c**2 + 4*c + 4. Let a(y) = 58013422*y**3 + 54977*y**2 + 54977*y + 54977. Calculate -4*a(n) + 54977*l(n).
4229*n**3
Let z(m) = m**2 + m - 1. Let k(x) = -2. Let b = 41 + -39. Let l(q) = q**2 + q - 18. Let i be l(-6). Suppose 0 = -13*s + i*s - b. Calculate s*z(a) + k(a).
-2*a**2 - 2*a
Let z(r) = -216*r - r**3 - 28*r - r**2 + 1 + 245*r. Let p(g) = g**3 + 2*g**2 + 4*g - 2. Determine p(t) + 2*z(t).
-t**3 + 6*t
Let j(g) = -6*g**3 - 2*g**2 - 11*g. Let x be j(-4). Let u = -401 + x. Let c(r) = r**2 + 2. Let y(p) = -3*p**2 - p - 5. What is u*c(k) - 2*y(k)?
k**2 + 2*k
Let d(s) = -4 - 26*s - 14*s + 63*s - 1 - 18*s. Let m be 6/2 + -7 + 9. Let j(v) = 3*v - 2. Give m*j(p) - 2*d(p).
5*p
Suppose 9 = -62*m + 59*m. Let u be (1 + -2 - m)/(4/10). Let q(t) = -t + 2. Let d(o) = -3*o + 4. What is u*q(k) - 2*d(k)?
k + 2
Let u(b) = -b. Let k(z) be the first derivative of -13*z**3/6 - z**2/2 + 38*z - 98. Let v(l) be the first derivative of k(l). Calculate -22*u(g) + 2*v(g).
-4*g - 2
Let b be (8 + -1 - 126/(-42)) + 1. Let h(v) = v**2 - v - 3. Let z(d) = -3*d**2 + 3*d + 8. Calculate b*h(r) + 4*z(r).
-r**2 + r - 1
Let t(i) = -497*i**3 - 15*i**2 - 5*i + 14. Let s(x) = 496*x**3 + 18*x**2 + 6*x - 15. What is -5*s(z) - 6*t(z)?
502*z**3 - 9
Let w(p) = -314*p**3 + 7*p**2 + 3*p - 8. Let o(q) = 235*q**3 - 5*q**2 - 2*q + 6. Give -11*o(f) - 8*w(f).
-73*f**3 - f**2 - 2*f - 2
Let j(n) = 61*n**2 + 10*n + 21. Let o(k) = 30*k**2 + 5*k + 9. What is 3*j(c) - 7*o(c)?
-27*c**2 - 5*c
Let q(v) be the second derivative of 2*v**5/5 - v**4/6 + v**3/3 - v**2 - 2*v + 398. Let o(w) = w**2 - w + 1. Give -6*o(j) - 3*q(j).
-24*j**3
Let t(z) = 2*z + 3. Let x(h) = -595*h - 16. Calculate -5*t(m) - x(m).
585*m + 1
Let j(b) = 8*b**2 - 10*b**3 - 3*b**3 + 0*b**3. Let z(q) = 90 + 4*q**3 + 74 - 3*q**2 - 164. Give 3*j(c) + 8*z(c).
-7*c**3
Let r(a) = 14*a**3 - 3*a + 3. Let k(f) = -191*f**3 + 22 + 175*f**3 + 5*f + 115*f**3 - 27*f. Calculate -3*k(x) + 22*r(x).
11*x**3
Let y be 10 - (-14)/28*-34. Let d(f) = f**3 - 2*f**2 + 3*f - 10. Let l(n) = 3*n**3 - 7*n**2 + 10*n - 31. Give y*d(v) + 2*l(v).
-v**3 - v + 8
Let o(w) = -3*w**3 + 2*w - 7. Let a(j) = -2*j**3 + j - 5. Let h be 1/(-10)*-5*(-4 + 2 + -8). Determine h*o(v) + 7*a(v).
v**3 - 3*v
Let m(b) = -37*b - 384. Let c(x) = 102*x + 1152. Determine 4*c(a) + 11*m(a).
a + 384
Let m(a) = 33*a - 12*a + 7 + 7*a - 19*a. Let s(b) = 1. Determine -m(h) + 4*s(h).
-9*h - 3
Let v be 2706/(-132)*(0 + -6)*2. Let b = v + -235. Let m(t) = 15*t - 9. Let k(f) = -8*f + 5. Give b*k(w) + 6*m(w).
2*w + 1
Let q(i) = 12*i. Suppose 0 = -6*w + 10*w + 4*o - 32, -w - 2*o = -14. Let z(d) = -d. Determine w*q(f) - 2*z(f).
26*f
Let q(o) = 5*o**2 + 8*o + 72. Let k(r) = -30 - 59*r - 3*r**2 - 24 + 54*r - 18 + 24. Determine 8*k(y) + 5*q(y).
y**2 - 24
Let c(i) be the first derivative of -i**2/2 + 4*i - 134. Let u = 25 - 28. Let t(v) = -v + 4. Give u*c(l) + 4*t(l).
-l + 4
Let f(k) = 83*k**2 - 8*k - 212. Let d(v) = 28*v**2 - 3*v - 71. What is -8*d(n) + 3*f(n)?
25*n**2 - 68
Let x(n) = -109*n**3 - 87*n**2 - n. Let l(h) = -35*h**3 - 29*h**2. What is 7*l(q) - 2*x(q)?
-27*q**3 - 29*q**2 + 2*q
Let w(r) = -4*r + 82. Let s(q) = -11*q + 219. Let f(n) = 3*s(n) - 8*w(n). Let d(y) = -5*y - 3. Determine -d(a) + 4*f(a).
a + 7
Let b(h) = -7*h**2 - 8*h + 1. Let y = 3467 - 3450. Let k(u) = 22*u**2 + 23*u - 3. Give y*b(o) + 6*k(o).
13*o**2 + 2*o - 1
Let b(x) = x - 49. Let q(t) = 28*t - 113. Give 6*b(h) - 3*q(h).
-78*h + 45
Let f(l) = 91*l. Let j(g) | {
"pile_set_name": "DM Mathematics"
} |
1 + 3*-4*(4*(sqrt(320) + (sqrt(320)*-1 - sqrt(320))) + -2*sqrt(320) + 2))**2.
-26496*sqrt(5) + 1659408
Simplify ((3*sqrt(162)*1)/(-1*sqrt(225)))/(-6*((sqrt(48)/sqrt(2) - sqrt(24)) + sqrt(24))*5).
sqrt(3)/100
Simplify ((-3*sqrt(91)*-3)/(2*sqrt(700)) + 4*(sqrt(130) + (sqrt(130) - -6*sqrt(130))*1)/sqrt(10))*-1.
-649*sqrt(13)/20
Simplify sqrt(19) + (sqrt(19) - (-4 + sqrt(19))**2)*4 - (sqrt(1216) + sqrt(1216)*4)**2 - (sqrt(5700)*1)/(sqrt(12)*-2).
-30540 + 79*sqrt(19)/2
Simplify -3*((4 + -1 + sqrt(275) - sqrt(275)) + -2*(sqrt(275) - (sqrt(275) + 0)) + (-2*sqrt(275) + 1 - (-1 + -3*sqrt(275))) + 2)**2.
-972 - 210*sqrt(11)
Simplify ((-3*(sqrt(1800)*2 + sqrt(1800) - sqrt(1800)) + 5*(sqrt(1800) - sqrt(1800)*-2))/((-3*sqrt(30)*2)/(sqrt(45)*-3)))**2.
54675
Simplify (((sqrt(84) + sqrt(84)*3)*2 + (sqrt(84) - (sqrt(84)*-3 + sqrt(84)))*4)/(sqrt(84)/sqrt(343) - (sqrt(132) + sqrt(132)*1 - sqrt(132))/sqrt(11)))**2.
34300/9
Simplify -4 + -1 + 0 + -2 + -1*((sqrt(121) + 3*sqrt(121))/sqrt(11))**2.
-183
Simplify (3*(sqrt(68) - sqrt(68)*3)*-1*-5)/((sqrt(8) + sqrt(64)/sqrt(8))/sqrt(2) + (sqrt(100)*1 - sqrt(100))).
-15*sqrt(17)
Simplify -3*-1*((1*sqrt(245))**2 + -3 - (-4 + 1 + sqrt(180) + sqrt(180)))*-5.
-3675 + 180*sqrt(5)
Simplify 2 + (-5 + 3 + -1*sqrt(448))*3 + -1 + ((sqrt(448)*2 + sqrt(448))**2 + 1)*-4.
-16137 - 24*sqrt(7)
Simplify -3*4*-4*((sqrt(162)*2 + sqrt(162))*-4 + (-4*(0 + sqrt(162) + sqrt(162)) - sqrt(162)))**2*-1.
-3429216
Simplify -5*(0 + (-1*(sqrt(891)*1 + sqrt(891)))**2 + (sqrt(176) - (1 + sqrt(176) + (0 + sqrt(176) - sqrt(176))))**2*3).
-17835
Simplify 5*((sqrt(70) - (2*sqrt(70) + sqrt(70))*3) + sqrt(70) + -6*-1*sqrt(70))/((sqrt(60)/(-2*sqrt(2)) - sqrt(30))/(sqrt(300)*-1)).
-100*sqrt(7)/3
Simplify -2*((2*(sqrt(13) + sqrt(13) + -1) + 2*-1*sqrt(13))*-6)**2 + (3*sqrt(39)*1)/(-2*sqrt(3)*-3).
-4032 + 1153*sqrt(13)/2
Simplify (sqrt(450)*6*-2)/((3*sqrt(72)*-2)/sqrt(12)).
10*sqrt(3)
Simplify (-4*sqrt(1980)*3)/((sqrt(80)/sqrt(2))/sqrt(2)).
-36*sqrt(11)
Simplify (sqrt(30)/(sqrt(640) + sqrt(10) - sqrt(10)) - sqrt(108)*3) + (0 + sqrt(15)/sqrt(5) + -5)*-4.
-175*sqrt(3)/8 + 20
Simplify ((4*sqrt(896) + sqrt(896) - sqrt(14))*-2)/((sqrt(2100)*3)/sqrt(3))*-1.
13*sqrt(2)/5
Simplify 3*(-1 + -4*(sqrt(360)/sqrt(6)*-5)/(sqrt(576)/sqrt(3))).
-3 + 15*sqrt(5)
Simplify 4 + 1 + (sqrt(1216) + sqrt(1216) + 0 + 4 + sqrt(1216) - (-4 + (sqrt(1216) + 1)**2)) + -4 + (-2*sqrt(1216)*-1)**2.
8*sqrt(19) + 3656
Simplify ((6*(sqrt(1134) + sqrt(1134)*3) + sqrt(1134))*-6)/((sqrt(567)/(sqrt(18)/sqrt(2)))/((-1*sqrt(63))/sqrt(7))).
1350*sqrt(2)
Simplify (sqrt(192) + -5*(2 + sqrt(192)) + (0 + sqrt(192))*-3)**2 + ((sqrt(192) + -3*sqrt(192)*2)**2 - ((2 + sqrt(192))*-4)**2).
608*sqrt(3) + 11172
Simplify 3 + 1*(-2*sqrt(176)*-1)**2 - (2 + sqrt(176) + 3*sqrt(176) + -3 + 1).
-16*sqrt(11) + 707
Simplify -4*((2*sqrt(200)*-6*-1)**2 - (5 + (sqrt(200) - (sqrt(200)*2 + 1)))**2)*1.
-114336 - 320*sqrt(2)
Simplify ((-4 + 2*((sqrt(343) - (sqrt(343) + -3 - sqrt(343))*-2) + sqrt(343)) + 4)*-4 + 0)**2.
-10752*sqrt(7) + 90112
Simplify (2*-1*4*((-3 + 0 + sqrt(539) - sqrt(539))*-2 + (sqrt(539) - (sqrt(539) - sqrt(539)*2)*-4 - sqrt(539))*5))**2*3.
-322560*sqrt(11) + 41402112
Simplify ((sqrt(99)*2 + -2)*-3)**2 + (sqrt(1584) + -2 + -3)**2 + -4.
-336*sqrt(11) + 5205
Simplify (-6*-6*(1 + ((sqrt(121)/sqrt(11) - sqrt(11))*6 - sqrt(11) - (sqrt(22)/sqrt(2) + 3))))**2.
10368*sqrt(11) + 62208
Simplify ((-3 + (sqrt(700) + sqrt(700) + -1 + sqrt(700) + sqrt(700))*3*4*5)*1)**2 + 1.
-302400*sqrt(7) + 40323970
Simplify -1*(5*(5 + sqrt(325) + -1) + -1 - -6*((sqrt(325) - (sqrt(325) + -1 + (sqrt(325) - (sqrt(325) + 1)))) + 0 + 1 + sqrt(325)))**2.
-40694 - 4070*sqrt(13)
Simplify (((5*sqrt(180)*-3)/sqrt(5))/(sqrt(768) - (-2*(sqrt(768) - sqrt(768)*4) + sqrt(768)))*-5)**2*3.
5625/256
Simplify ((-4*sqrt(80)*2 - (sqrt(80) + (sqrt(80) + (sqrt(80) - (sqrt(80) + 2*sqrt(80)*3)) + sqrt(80) - sqrt(80)) + sqrt(80)))/(sqrt(120)/(3*sqrt(432))))**2.
64800
Simplify (sqrt(13) - (sqrt(13) - (1 + sqrt(325)) - sqrt(13))) + sqrt(13) + -5 + 3 + sqrt(13) - (1*3*sqrt(1872)*6)**2.
-606529 + 8*sqrt(13)
Simplify (sqrt(343)*-2 + 0 + (sqrt(343) + sqrt(343) + 0)*3 + -3 + (3 + (sqrt(343) - -2*(sqrt(343) + 1*sqrt(343))) + 3)*4)**2.
7056*sqrt(7) + 198009
Simplify ((4*(sqrt(65) - (sqrt(65) - sqrt(65)*2)) + (sqrt(65) - sqrt(65)*1*-3))*6)/(4*sqrt(245)*-2*6).
-3*sqrt(13)/14
Simplify -5 + ((sqrt(120)/(sqrt(8)/sqrt(4)*-3))/(4*-1*sqrt(1452)) + -5)**2.
-5*sqrt(5)/66 + 348485/17424
Simplify -2*6*((sqrt(152)*-1*-6)/sqrt(8) - ((sqrt(228)*2)/sqrt(12) - sqrt(19)*1*4)**2)*4.
-288*sqrt(19) + 3648
Simplify (1*5*1*(-5*sqrt(171)*2 + -3)*-2)**2.
18000*sqrt(19) + 1710900
Simplify (sqrt(252)/sqrt(192) - (-6*sqrt(189) + sqrt(21)))/(sqrt(7) + (sqrt(7)*-1*-4 - sqrt(7)) + (sqrt(28)*1 - sqrt(7))).
69*sqrt(3)/20
Simplify (1*-2*(-6*2*(-3 + sqrt(80)) + -5))**2 + 5 + 1.
-11904*sqrt(5) + 49930
Simplify 2 + 1*sqrt(304) + sqrt(304) + (2*(sqrt(304) - sqrt(304)*-1))**2 - (sqrt(171)*1*1)/(sqrt(729) - sqrt(729)*-1)*-1.
145*sqrt(19)/18 + 4866
Simplify (5 + 3*sqrt(3) - (6*(-2 + sqrt(3)))**2) + (sqrt(216)/(1*sqrt(8)))/(sqrt(90)/(-1*sqrt(10))) + -4.
-251 + 146*sqrt(3)
Simplify (((6*1*sqrt(735) - sqrt(735)) + sqrt(735))*-5)/((sqrt(5) - -5*-3*sqrt(5)) + (-2*sqrt(35))/sqrt(7)).
105*sqrt(3)/8
Simplify (0 + (sqrt(10) - (sqrt(90) - sqrt(10)))/sqrt(5))*-4 - ((-3 + sqrt(242))**2 - (sqrt(2) - (sqrt(2) + -1)*5)**2).
-194 + 30*sqrt(2)
Simplify (2*(3 + 3*((1*sqrt(147))**2 - sqrt(147))*5) + 2)*5*-3.
-66270 + 3150*sqrt(3)
Simplify ((-1 + sqrt(700) + sqrt(700) + -1 - (sqrt(700) + -1)*-2 - -5*5*(1 + sqrt(700)))*2 + 1)**2.
49880*sqrt(7) + 2356649
Simplify (2*(-1 + 3 + sqrt(20)/(sqrt(40) + sqrt(10)) + (-5 + sqrt(2) + -1 - -4*sqrt(6)/sqrt(3))**2) + -2)*-1.
-174 + 358*sqrt(2)/3
Simplify ((-3*sqrt(189) - sqrt(21)) + sqrt(21))/(sqrt(112) + sqrt(112)*3) + (sqrt(18) + (sqrt(18) - sqrt(180)/(sqrt(10) + sqrt(360))))/sqrt(6)*-3*3.
-1935*sqrt(3)/112
Simplify -5*(sqrt(117) - (-1*sqrt(117))**2)*-5*-4 + (-6*(2 + (sqrt(637) + 1)*3))**2.
7260*sqrt(13) + 218988
Simplify 6*(-3*(-1 + 1 + -2 + sqrt(2) - sqrt(20)/(1*sqrt(490))))**2*2.
-2592*sqrt(2)/7 + 28944/49
Simplify 2*(sqrt(13) + -1 + -3 + -1)**2 + 0 - (5*(sqrt(78)*-3 - sqrt(78) - sqrt(78)) - sqrt(78))/((sqrt(6) + sqrt(384))*2).
-167*sqrt(13)/9 + 76
Simplify (sqrt(40) + sqrt(400)/(sqrt(110)/sqrt(11)) + sqrt(40) + -2*sqrt(40)*-2)/((-1*sqrt(4536))/(sqrt(847)*-1)).
77*sqrt(5)/9
Simplify ((sqrt(84)/sqrt(3))/sqrt(2))/((sqrt(84)*-1 - sqrt(84))/sqrt(12)) + (sqrt(1458) + 0 + -1)**2.
-109*sqrt(2)/2 + 1459
Simplify -5*(sqrt(1216) + 1) - (5 + (-1*sqrt(1216))**2 + sqrt(1216)) - (sqrt(114)/(-3*sqrt(216)))**2*-1.
-397205/324 - 48*sqrt(19)
Simplify 3*sqrt(20)/(1*(sqrt(4) + (sqrt(4) - (sqrt(4) + sqrt(100)))) + sqrt(4)) + (sqrt(3200) + (sqrt(3200) - sqrt(3200)*-2))/(sqrt(40)*-2).
-9*sqrt(5)
Simplify 2 + 3*((-2*sqrt(76))**2 - sqrt(76)) + -3*sqrt(304)*-4.
42*sqrt(19) + 914
Simplify (1*sqrt(1792) + (1*sqrt(168))/sqrt(6))/((-1*sqrt(4000))/((sqrt(70)*1)/sqrt(7))).
-9*sqrt(7)/10
Simplify ((sqrt(55) + 2*sqrt(6655) + (sqrt(55) - (sqrt(1375)*-1 + sqrt(55) + sqrt(55) - sqrt(55))) + sqrt(55))/(sqrt(99)*1*-5) + 3)**2.
-58*sqrt(5)/5 + 1246/45
Simplify -5 + (-2*-4*(sqrt(12) + sqrt(60)/sqrt(5) - sqrt(12)))/(sqrt(20)/(sqrt(5)*-2*5)).
-80*sqrt(3) - 5
Simplify -4 + -5 + (((sqrt(68) - (1*sqrt(68)*-1 + sqrt(68))) + (2*sqrt(68) - sqrt(68))*3)*2)/((6*sqrt(56)/sqrt(2) - sqrt(28))/sqrt(7)*-2).
-9 - 4*sqrt(17)/5
Simplify (4*(1*-1*sqrt(84) + sqrt(84))*-4)/(sqrt(972) + (sqrt(972) - (sqrt(972) + (sqrt(972) + (sqrt(972) - sqrt(972)*-2))*-2 - sqrt(972))) + 6*sqrt(972)*-1).
0
Simplify (sqrt(64)*-1)/(sqrt(98) - (sqrt(98) + -1*sqrt(98))) + (-2*sqrt(22)*5)/(2*(sqrt(11) - sqrt(44)/sqrt(4)) + sqrt(11)).
-74*sqrt(2)/7
Simplify -2*1*(-4 + 5 + 1*sqrt(147) - ((sqrt(147) + 1 - sqrt(147))*6 + sqrt(147)*-1*3)).
-56*sqrt(3) + 10
Simplify ((sqrt(816) - sqrt(51))*2 + 3*sqrt(1836))/(-3*sqrt(9)/sqrt(147)*4).
-14*sqrt(17)
Simplify (-3 + 3 + (0 + -4*(1*sqrt(1216) - sqrt(1216)) - 5*sqrt(1216)*-2*4))**2.
1945600
Simplify 6*((-1*sqrt(343) + 0 - (sqrt(343) - (sqrt(343) - (-5 + -3*sqrt(343))))) + 3*(-3 + (sqrt(343)*2 - sqrt(343)) + -4))**2.
-6720*sqrt(7) + 52986
Simplify ((-2*sqrt(140)*-3*-2)/(-2*sqrt(28)/sqrt(4) + sqrt(448)*-2))**2.
80/9
Simplify (1*-6*sqrt(171)*- | {
"pile_set_name": "DM Mathematics"
} |
qrt(1088))*-6)*-4)**2.
1382400*sqrt(17) + 62798400
Simplify (0 + 0 + -2*((-3 + sqrt(272) - sqrt(272)) + 0 + 1) + 3)**2.
49
Simplify -4*(sqrt(14)/(-3*sqrt(2)) + 2*sqrt(7)*-1 - (sqrt(189)/sqrt(3) + -5 + 0)).
-20 + 64*sqrt(7)/3
Simplify (-1 + (1*sqrt(891))**2 + 3 - 5*((sqrt(891) + 2)**2 + 2)) + -5.
-3597 - 180*sqrt(11)
Simplify -5 + ((1*sqrt(162))**2 + 4 - (5 + (4 + sqrt(200))**2 + sqrt(8))).
-82*sqrt(2) - 60
Simplify (sqrt(95) + (sqrt(95) + sqrt(95)*3 - sqrt(95))*5)/(sqrt(25)/(sqrt(30)/sqrt(6))) + ((3 + sqrt(684) + 0 - (5 + 1*sqrt(684)))*-6)**2.
16*sqrt(19) + 144
Simplify ((sqrt(1088) + -5 + sqrt(1088)*1)**2 + sqrt(1088)*1 + -4 - (-1 + (sqrt(1088) - (3*(sqrt(1088) + 0) - sqrt(1088)) - sqrt(1088)) + 1)**2)*1.
-152*sqrt(17) + 21
Simplify (2 + sqrt(396) + sqrt(396) + -5 + 0 + -2*5*3*sqrt(396))*5.
-840*sqrt(11) - 15
Simplify (3 + (sqrt(432) - (sqrt(12)/sqrt(4)*2)**2 - (sqrt(81)/sqrt(144))/(sqrt(192)*-1)))*-4.
-385*sqrt(3)/8 + 36
Simplify (sqrt(63) + (sqrt(126)*1)/sqrt(2) + (sqrt(6300)*3 - sqrt(6300)))/((sqrt(270)/(sqrt(6)*-1))/(sqrt(10)/(sqrt(2) - sqrt(18)))).
11*sqrt(7)
Simplify (sqrt(735)*1*3*1)/(-4*(sqrt(3) + (sqrt(3) - sqrt(30)/(5*sqrt(10))))*-1).
35*sqrt(5)/12
Simplify (sqrt(147) + (sqrt(147) - (sqrt(147) + 2*(sqrt(147) + -1)**2)) + 0 - (-3 + -4 + (sqrt(147) + 2*sqrt(147) - sqrt(147))))*4 + 4.
-1152 + 84*sqrt(3)
Simplify 1 + (sqrt(85)*-1*3)/(sqrt(20)*3 + sqrt(5)) + 6*(sqrt(17) + (-1*sqrt(17))**2 + 4 - sqrt(17)) + (sqrt(17) - (sqrt(68) + 2))*5.
-38*sqrt(17)/7 + 117
Simplify (1*(sqrt(2299)*3 + 1)**2 + ((sqrt(19) - sqrt(1216)) + 5)**2 + sqrt(114)/sqrt(6)*4)*5.
108240
Simplify (-1*(sqrt(320) - (sqrt(320)*-1 + 4)) - 1*(sqrt(5) + 0)*-3*-3)**2.
-200*sqrt(5) + 3141
Simplify 1 + (sqrt(228) - -1*sqrt(228))/sqrt(12) + -2 + (sqrt(475) - ((sqrt(475) + (5 + sqrt(475) - sqrt(475)))*-5 + sqrt(475)))**2.
1252*sqrt(19) + 12499
Simplify 0 + 4 + (sqrt(72) + -1)*-1 + -1*sqrt(72)*-1 + 0 + -2.
3
Simplify -5 + (((0 + sqrt(147))*3 + 2*sqrt(147)*-5)*1*-2)**2*5.
144055
Simplify 5*((sqrt(1584) - (sqrt(1584) - (3 + sqrt(1584) + -1))) + sqrt(1584) + sqrt(1584) - (-4 + sqrt(1584) + sqrt(1584) + 0) - (sqrt(1584) + -3)*1*-4)**2.
-3600*sqrt(11) + 198180
Simplify ((-2*(2 + sqrt(637) + 0) - (sqrt(117) - ((1 + sqrt(117) - sqrt(117)) + sqrt(117) + -5) - (sqrt(117) + -3*sqrt(117)*-1))) + 3)**2.
20*sqrt(13) + 77
Simplify (1 + 4 + -3 + 1*sqrt(80)*1 + 4 + 4)**2.
80*sqrt(5) + 180
Simplify (((-2*sqrt(34)*1)/(sqrt(64)/sqrt(2)) - (-3*(sqrt(425) + sqrt(425) + 4 + sqrt(425) + sqrt(425)) + 5))*-1)**2.
833*sqrt(17) + 240933/4
Simplify 1*((-2*sqrt(864)*2)/(-1*sqrt(800) + sqrt(128)) + 2)**2.
16*sqrt(3) + 52
Simplify ((2*sqrt(130)*-5 + (sqrt(130)*2 + sqrt(130))*-1)/((sqrt(100) + -5*(sqrt(100)*-1 - sqrt(100)))/(sqrt(100)/sqrt(40))))**2*-4.
-2197/121
Simplify (-4*((sqrt(270)/sqrt(9) - sqrt(30))*4*6)/(sqrt(42)/sqrt(175) - (sqrt(216)*1 + sqrt(216))))**2.
0
Simplify -4 + (-5*(sqrt(216) - (6*(-2*sqrt(216) + sqrt(216) - sqrt(216)) + sqrt(216))))/((sqrt(4000)*-2)/(sqrt(500)*2)).
-4 + 180*sqrt(3)
Simplify ((((sqrt(70)*1)/sqrt(10) + 4*sqrt(1008) - (6*(sqrt(77)*2 + sqrt(77)))/(-2*sqrt(1584) - sqrt(1584))) + 4)*-6)**2.
14256*sqrt(7) + 618039
Simplify -1*(-1*(-3*sqrt(720) - sqrt(720)) + (sqrt(720) + sqrt(720) + sqrt(720) + 2)*1 + sqrt(720) + -5 + 0)**2.
-46089 + 576*sqrt(5)
Simplify -1 + 5 + 3*sqrt(171) + 4 + (5*sqrt(171)*-2 - sqrt(171)).
-24*sqrt(19) + 8
Simplify -4 + sqrt(44) + 0 + sqrt(275) + 5 - (2 + (sqrt(704)*1 + sqrt(704) - ((sqrt(1584) - sqrt(1584)*1) + sqrt(1584) - sqrt(1584))**2)).
-9*sqrt(11) - 1
Simplify ((sqrt(77) - (-1*sqrt(77) - sqrt(77)))*-3 + 2*sqrt(77)*2)/(sqrt(891)*4 - (sqrt(385)/sqrt(7))/sqrt(5)).
-sqrt(7)/7
Simplify ((-6*(sqrt(70) + sqrt(70) + 4*sqrt(70)*2 - sqrt(70)*1*-5))/((sqrt(200)/(sqrt(16)/sqrt(4)))/(2*(sqrt(180) - sqrt(5)))))**2.
5670000
Simplify 6*(-1*sqrt(39)*-2)/((sqrt(3) + sqrt(12)/sqrt(4))*3) - (5 + sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 3 + 1*sqrt(1300))))**2*-1.
4 + 2*sqrt(13)
Simplify ((sqrt(120) + 3*sqrt(120)*-4)/sqrt(12)*6)/(6*sqrt(405)*-3*-3).
-11*sqrt(2)/81
Simplify (1*(0 + sqrt(720) + sqrt(720))*-6*-1 - -4*((sqrt(720) + 1 + sqrt(720) - sqrt(720))*-1 + 5))**2.
3072*sqrt(5) + 46336
Simplify (((sqrt(153) - -6*(-2*sqrt(153) + sqrt(153)))*4)/(6*sqrt(1296)*-3)*-4 + -3)**2*-2.
-16522/729 - 40*sqrt(17)/9
Simplify (5 + sqrt(133)/(2*sqrt(7))*5)**2 - (-3 + 5 + (sqrt(304)*1)**2).
-649/4 + 25*sqrt(19)
Simplify (-4*sqrt(180)*-2*2 + -5 + (sqrt(180) - (5*sqrt(180)*-1 + sqrt(180))))*5.
-25 + 630*sqrt(5)
Simplify (1*sqrt(84)*-3 + (sqrt(84) - (sqrt(84) + -3*(sqrt(84) + 2*sqrt(84)))))/(-6*sqrt(144)/(sqrt(3)*2)).
-sqrt(7)
Simplify 1*(2 + (((sqrt(304) + 2 - sqrt(304)) + 5 + (sqrt(304) + -1 + sqrt(304)*-2 - sqrt(304)))*-1)**2*-2).
-2502 + 192*sqrt(19)
Simplify ((sqrt(2695)*6 - sqrt(2695))*6)/(sqrt(180) - sqrt(180)*2 - sqrt(25)/(sqrt(30)/sqrt(6))).
-30*sqrt(11)
Simplify 3 + (-5*(sqrt(30)/sqrt(5) - sqrt(6)) + (sqrt(6) - (sqrt(36) + sqrt(108)/sqrt(3))/sqrt(6)))/((-2*sqrt(768))/sqrt(4)*-4).
-sqrt(2)/64 + 3
Simplify (1*sqrt(1224)*4*-3)/(3*-3*(sqrt(18)*-2 - sqrt(2))).
-8*sqrt(17)/7
Simplify (-3*(3 + (5 + (-2 + sqrt(8) - (-1 + 1*sqrt(2))))*1)*-6)**2.
4536*sqrt(2) + 16524
Simplify 4*(-2 + 2 + sqrt(2448))*6 + -3 + 1 + 2.
288*sqrt(17)
Simplify 1 + (sqrt(209) - sqrt(209)*2*6)/(1*sqrt(11)*1) + (sqrt(19) + sqrt(304) + -2 - (3*(sqrt(38)/sqrt(2))**2 + sqrt(19))).
-58 - 7*sqrt(19)
Simplify (sqrt(425) + -1 - sqrt(17)) + (-4*sqrt(17)*6 - sqrt(17)) - (1*(-3 + (sqrt(17) - (sqrt(17) + sqrt(68))) - (-5 + sqrt(17) + 1)))**2.
-155 - 15*sqrt(17)
Simplify (2 + sqrt(1539) + 2 + (-5 + (sqrt(1539) - 2*sqrt(1539)) - sqrt(1539)) + (2*(sqrt(1539) + 1) - sqrt(1539)) + (sqrt(1539) + 0)*-1)**2.
-18*sqrt(19) + 1540
Simplify (sqrt(114) + 6*-3*sqrt(114))/((sqrt(180)/sqrt(6))/sqrt(5) + sqrt(6)) + 2*-1*(sqrt(2736)*1 + -2) + -4.
-65*sqrt(19)/2
Simplify (3*-3*(sqrt(102) + (sqrt(102) - (2*sqrt(102) - sqrt(102))) - sqrt(102)))/(sqrt(66)/(sqrt(11) + sqrt(11)*3) - sqrt(96)*-5).
0
Simplify (((sqrt(70) - (sqrt(70) + (sqrt(70) - sqrt(70)*-1) + sqrt(70)))/sqrt(7))/(sqrt(32)*2) + 1*(-1 + sqrt(180)) + 3)**2 + -2.
45*sqrt(5)/2 + 10253/64
Simplify 4 + 1 + 4*((sqrt(2) - sqrt(18)*-4)**2 + sqrt(8)*-4 - 3*((sqrt(2) - 1*sqrt(2))*-3 + sqrt(288)*-2)).
256*sqrt(2) + 1357
Simplify ((sqrt(2) + sqrt(2) + 0)*-4)**2*1 - ((sqrt(72) - ((-1*sqrt(72))**2 + sqrt(72))) + 1) - (-2 + 2*sqrt(882)*-2 + sqrt(882))**2.
-7743 - 252*sqrt(2)
Simplify 4*(-1*(-2*(2 + sqrt(171))*2 - (-5 + sqrt(171)*2 + sqrt(171) + -4 + (sqrt(171)*1 - sqrt(171)))))**2.
-168*sqrt(19) + 33520
Simplify 2 + (((1 + sqrt(2448))*5 - (-6*sqrt(2448)*2 - sqrt(2448))) + -5 + 0)*6.
2 + 1296*sqrt(17)
Simplify -4 + 0 + sqrt(2299) + (0 + sqrt(2299))**2 + -1 + (-1*sqrt(2299)*-2 - -6*(-1 + sqrt(2299)))**2.
-1045*sqrt(19) + 149466
Simplify ((sqrt(637) + 6*(sqrt(637) - (sqrt(637) + 5*sqrt(637))))**2 + (6*(sqrt(637) + 3))**2 + 4)*5.
7560*sqrt(13) + 2794885
Simplify -2*(2*(-4*-2*sqrt(432) - sqrt(432)))/(5*sqrt(4)*1 + (sqrt(4) - (sqrt(4) - sqrt(36)/sqrt(144)))).
-32*sqrt(3)
Simplify (2 + sqrt(605) - (-2 + sqrt(5)*3) - (sqrt(80) - (0 + (sqrt(80) + sqrt(80) + 1)**2) - (-2*sqrt(80) + -2)**2)) + 4.
52*sqrt(5) + 653
Simplify (((-1 + (sqrt(4)/sqrt(2) + 5 - sqrt(2) - (sqrt(24)/sqrt(3))/sqrt(4)))*-3 + -4)*-3)**2.
-864*sqrt(2) + 2466
Simplify (sqrt(1134) - (sqrt(1134) - sqrt(1134)*-2))/(3*sqrt(2)*-2 + sqrt(2)) - (3 + -4 + -2 + sqrt(343)).
-17*sqrt(7)/5 + 3
Simplify 4*(-3*(-6*(sqrt(2) + (sqrt(2) - sqrt(216)/sqrt(12)) + sqrt(2)))**2 + (-3 + (sqrt(550)*1 + sqrt(550))/sqrt(11))**2).
-240*sqrt(2) + 836
Simplify 3*(sqrt(75) + ((sqrt(75) - (-1 + sqrt(75)))*-4 - sqrt(75))**2)*-5 - (-4*sqrt(882))/(sqrt(6) - (2*sqrt(48))/sqrt(8)).
-1365 - 703*sqrt(3)
Simplify (5*6*sqrt(133)*-4*3)/((-1*sqrt(343)*2 - sqrt(343) - sqrt(343) - sqrt(343))*-4).
-18*sqrt(19)/7
Simplify (4 + sqrt(1100) + 3 + -3*(sqrt(1100) + -1)**2 + (3 + (sqrt(1100) + sqrt(1100) + sqrt(1100) + -1)**2)*-5 + 4)*-6.
-2220*sqrt(11) + 316872
Simplify (1*(6*(5 + sqrt(68) + sqrt(68)*-2) - 2*(3 + -1*sqrt(68)))*-1)**2.
-384*sqrt(17) + 1664
Simplify ((sqrt(126) - -2*(sqrt(126) + sqrt(126)*-2 - sqrt(126)))/(sqrt(144) - sqrt(9)))/((sqrt(32) - (sqrt(224)*1)/sqrt(7)) + sqrt(128)*3).
-sqrt(7)/24
Simplify -5 + (-4 + 2*(5 + (0 + sqrt(1300) - sqrt(1300))) + (0 + sqrt(1300) + 3 - (0 + | {
"pile_set_name": "DM Mathematics"
} |
t -0.4, g, -3 in descending order.
g, -0.4, -3
Let z(c) = -c**2 + 5*c + 171. Let l be z(16). Put 234, l, -1 in increasing order.
l, -1, 234
Let z = -901 - -4504/5. Sort z, -5, 1 in increasing order.
-5, z, 1
Let g(l) = l + 10. Let v be g(-9). Suppose 12*y = 4*y - 88. Let d be ((-2)/(-1))/((-2)/(-3)). Sort y, d, v.
y, v, d
Let x(i) = -i**2 - 3*i - 2. Let g be x(-4). Let t = 1 - -2. Let v = t + -4. Sort g, 0, v in decreasing order.
0, v, g
Let k = -719 + 722. Sort 9, k, -4 in ascending order.
-4, k, 9
Suppose -64 = 198*j - 182*j. Put -2/13, -0.5, j, 0.38 in decreasing order.
0.38, -2/13, -0.5, j
Let x = 140 + -139.7. Put -1, x, -9 in decreasing order.
x, -1, -9
Let c = 3 - 6. Let p(w) = -3*w - 7. Let q be p(c). Suppose -q*i - 5*d = 5, -2*i + 1 = -2*d - 1. Sort -1, i, 1 in ascending order.
-1, i, 1
Suppose i = 6*i + 10. Let p(g) = -g**2 + 2*g + 21. Let a be p(6). Put i, 5, -7, a in ascending order.
-7, a, i, 5
Let m(v) = v**3 + 10*v**2 - 25*v + 8. Let z be m(-13). Sort 3, -1, z in descending order.
3, -1, z
Suppose -5*p - 5 = -3*y - 6*p, -4 = 4*p. Put 12, -4, y, 1 in increasing order.
-4, 1, y, 12
Suppose 4*f = -c + 15, 5*f + 0*f = -4*c + 5. Let k be (45/(-27))/(f/(-6)). Suppose k*w + r - 12 = 0, 3*r - 4 = 2*r. Sort 3, w, -3.
-3, 3, w
Suppose -7 = 2495*g - 2488*g. Let p be -2 + 0/(3 + -1). Put -7, -4, g, p in descending order.
g, p, -4, -7
Let f(l) = 5*l + 30. Let a be f(-7). Put a, 27, 4 in ascending order.
a, 4, 27
Suppose -11 = 2*c + 25. Let f be 7 - ((-4)/(-18) + (-50)/c). Sort -2, 0, 2, f in ascending order.
-2, 0, 2, f
Let k = 11.1 - -0.9. Let j = -10 + k. Sort j, 4, -1/7 in descending order.
4, j, -1/7
Suppose -2*b - 14 = -12. Put b, 9, 3, -5 in descending order.
9, 3, b, -5
Let w = 2282 - 2277. Put 0, 2, w, 8 in descending order.
8, w, 2, 0
Let b = 395 - 390. Put -0.11, b, -23 in descending order.
b, -0.11, -23
Let d = 5312/15 - 354. Let u = 0.24 - -4.76. Let r = 0.1 + -1.1. Sort r, u, d.
r, d, u
Let i = -16 - -16. Suppose -4*r + 4 = 2*h, 4*r = -i*h + h + 10. Suppose j - 6 = r*j. Put j, 3, 0 in descending order.
3, 0, j
Let n = 475 + -519. Sort 3, -2, n.
n, -2, 3
Suppose -b + 4*q = -10, -3*b + 6*b + 4*q = -2. Put 4, 5, -6, b in increasing order.
-6, b, 4, 5
Suppose 0 = 5*d + 5*b - 9 - 166, 3*d - 95 = -b. Suppose d*o - 21*o - 45 = 0. Put -4, o, 4, -2 in ascending order.
-4, -2, 4, o
Let w = 0.5 - -2.5. Let q be 2/(-1)*(-85)/10. Suppose -2*h = -5*a + a + 4, 0 = -a - 4*h - q. Sort 4/3, a, w.
a, 4/3, w
Let z be ((-2560)/(-728))/16 - 1/13. Let d = 73/4 + -18. Sort 2, d, z, -0.1 in increasing order.
-0.1, z, d, 2
Let l = -1 + 3. Suppose -3*k - 12 = 0, 10*f - 5*f + 4*k - 9 = 0. Suppose -12*n + 28 = -f*n. Put l, -1, n in decreasing order.
n, l, -1
Suppose 0 = i + 5, 3*h - 2 - 5 = -i. Let y be 19/(-1) + 560/56. Put y, 1, -3, h in descending order.
h, 1, -3, y
Suppose 0 = 3*n - 0*n + 15. Let a = -3811 - -3808. Sort 5, a, n, 12.
n, a, 5, 12
Let a = 1 - -7. Let i = a - 8. Put i, 5, -1, 4 in increasing order.
-1, i, 4, 5
Let k(z) = 8*z - 1. Let m be 2 + (4 + -3)*-1. Let n be k(m). Let l be 0/(((-24)/4)/2). Put l, 2, n in descending order.
n, 2, l
Let z = 2793 + -2788. Put z, 1, 118 in decreasing order.
118, z, 1
Let a = -41 - -46. Suppose -34*h - 90 = -39*h. Put 4, h, a, 1 in decreasing order.
h, a, 4, 1
Let a = 1 + 0. Let w = -0.3786 + -0.1214. Put -1/4, a, w in increasing order.
w, -1/4, a
Let n = -7203.5 + 7203. Let z = 7 - 10. Let v = z + 3.5. Sort n, v, -0.1 in decreasing order.
v, -0.1, n
Let o be (-2)/12*(-3 - 1/1). Sort 5, o, -5, 13 in decreasing order.
13, 5, o, -5
Let v = 33 - 69. Let n be ((-284)/154)/((-128)/v). Let j = n - 3/112. Sort j, -2/7, 0.4 in ascending order.
j, -2/7, 0.4
Let c = -86/455 - 1/91. Sort -1, c, -0.09, -3 in ascending order.
-3, -1, c, -0.09
Let x be (-2934)/(-10) + (-8)/20. Let d = 3811/13 - x. Sort 1/2, 3, d.
d, 1/2, 3
Let z = -1159/7 + 165. Let m = 2424 + -2420. Let v = -2 + 1.9. Sort v, z, m.
z, v, m
Let q be 989/473 + (3 - 102/33). Let y = -33 - -15. Let n be (-2)/(-9) - 14/y. Put q, -2, n in descending order.
q, n, -2
Let w be (3/(1*-27))/1. Let g(c) = -c**2 - 5*c - 3. Let d be g(-2). Put d, w, 4 in ascending order.
w, d, 4
Let t = 38.9 - 33.9. Put -4/3, t, -2 in descending order.
t, -4/3, -2
Let u(a) = -a**3 - 21*a**2 - 44*a - 116. Let w be u(-19). Put w, -4, -3, 4 in descending order.
4, w, -3, -4
Suppose 0 = 31*h - 32*h + 4. Let b = 10 + -14. Sort b, h, -8.
-8, b, h
Suppose f + f = 10. Let q be (-26 + 0)/(-5 + 3). Let z = q - 23. Sort 2/3, f, z in decreasing order.
f, 2/3, z
Let g(p) = -27*p - 159. Let a be g(-6). Sort 2/5, a, 5, -2 in ascending order.
-2, 2/5, a, 5
Let o = -657 - -652. Put 3, 9, -3, o in ascending order.
o, -3, 3, 9
Suppose 0 = -5*y + 13*y + 32. Sort 45, y, -5 in ascending order.
-5, y, 45
Let o = 29 - 30.1. Let r = o - 2.9. Put 7, 2, r in descending order.
7, 2, r
Let h be 3/(-2)*(-1 + 3). Let x be 3*h*1/(-1). Let j = 886 + -884. Sort x, -1, j in ascending order.
-1, j, x
Suppose -w - 5 = 4*o, 3*w = 4 - 7. Sort o, -4, 1, -13 in ascending order.
-13, -4, o, 1
Let j be (-3 - -6)*(-20)/(-3). Let g be (4/(-8))/((-2)/j + 0). Put 3/5, 2/7, -2/7, g in ascending order.
-2/7, 2/7, 3/5, g
Let h(z) = z**2 - 8*z + 8. Let b be h(6). Sort -2, b, -14, 3 in decreasing order.
3, -2, b, -14
Let q = -255 + 258. Sort q, 5, -1, 6 in decreasing order.
6, 5, q, -1
Let p(m) = -m**2 - 12*m + 3. Let r be p(-12). Suppose -2*s = -2*x - 2*x + 24, r*s + 36 = -x. Put 0, 5, -4, s in increasing order.
s, -4, 0, 5
Let c(a) = 2*a - 6. Let h be c(4). Suppose -4 = -3*q + h*q. Let o = -0.1688 - -0.2688. Put o, q, 3 in ascending order.
o, 3, q
Let x = -0.1 - 0.9. Let n be (6071/910)/((-46)/(-4)). Let j = n + -1/115. Sort j, -1/2, x in decreasing order.
j, -1/2, x
Let u(s) = -s - 1. Let k(o) = o**3 - 6*o**2 - 7. Let j(r) = -k(r) + 6*u(r). Let b be j(5). Sort 3, b, 0 in decreasing order.
3, 0, b
Let g(s) = -s**3 + 72*s**2 - 65*s - 421. Let l be g(71). Sort l, -13, -1, 12 in descending order.
12, l, -1, -13
Let a = -1.91 + 1.71. Sort a, -5, 2/41, -0.4.
-5, -0.4, a, 2/41
Suppose 4 = -4*u - 0*u. Let f be (-1 + 1)/(0 - -2). Let h(g) = -g**3 - 12*g**2 - 31*g - 1. Let n be h(-4). Put f, u, n in descending order.
f, u, n
Let b = 0.19 - -4.81. Let g = 0 + 0.5. Let w be (-1)/2*(-12)/(-39). Sort b, w, g.
w, g, b
Suppose 0 = -2*x - 0*x + 4. Suppose 0 = -5*p - 3*k + 5*k + 22, 0 = 2*p + 4*k - 4. Suppose 4*t = 16, 2*z - p*t = -z - 28. Sort x, z, 1.
z, 1, x
Let l be 3 + -1 - 5*-4. Let h = l + -41/2. Let g = -43.46 - -48.46. Put -0.4, h, g in descending order.
g, h, -0.4
Let a be 4 - (23 + (-9)/(-3)). Let d = 49 - 23. Let z = d + a. Put 5, -6, z in descending order.
5, z, -6
Let m = -0.2 + 0.23. Let a = -0.564 - 0.436. Sort m, 1/3, a.
a, m, 1/3
Suppose 7*t = 3*t. Suppose p - 3*n + 13 = 2*n, 2*p + 4*n - 2 = t. Let i = p - 2. Put 3, i, 0 in decreasing order.
3, 0, i
Let g be ((-3)/(-6))/(4/(-16)) + 4. Suppose b + 3*b - 12 = 0. Suppose 0 = b*f - 12. Sort -4, f, g in ascending order.
-4, g, f
Let l(z) = -8*z**2 - 13*z + 7. Let g(x) = -x**2 - x + 1. Let k(v) = 6*g(v) - l(v). Let r be k(-4). Sort -6, 1, r in descending order.
r, 1, -6
Suppose 3*w + b - 37 = 0, b = 2*w - 3*b - 6. Let d = 10 - w. Let g(r) = -r**3 + r**2 + r + 5. Let x be g(0). Sort x, d, -2.
-2, d, x
Let m = -535 - -532. Let x = 7 - 5. Let l = x - -2. Put 2, m, l in ascending order.
m, 2, l
Let h = 27 + -49/2. Let x(i) = -i**2 - 3*i + 13. Let q be x(-5). Let j(m) = m**3 - m**2 - 5*m - 5. Let f be j(q). Sort f, -2/13, h.
f, -2/13, h
Let o = -549 - -577.9. Let r = o - 31. Let a = 5.1 + r. Put -3, a, 1 in ascending order.
-3, 1, a
Let x(g) = 4*g - 1. Let k be x(1). Let f be -7 + 4 - (-1 + -3). Suppose -6*n = -18 - 6. Put n, k, f in ascending order.
f, k, n
Suppose -3*a + 5 = -2*o - 11, -3*o - 14 = -2*a. Suppose 10 = 2*d + 6. Sort a, 0, 12, d.
0, d, a, 12
Let p be (-2)/(-6)*1/(-4). Let h be (-9)/4 + (-9 - 528/(-64)). Sort h, p, 0.2 in increasing order.
h, p, 0.2
Let p = 1.1 - 0.8. Let s = -4.475 + -1.525. Put s, p, -2 in increasing order.
s, -2, p
Let n(g) = 4*g - 4. Let u be n(2). Suppose 7*q + 2*c = u*q + 9, -4*q - 3*c = -13. Let z = 0 - -2. Put 4, q, z in increasing order.
q, z, 4
Let j = -77.5155 - 0.1845. Let o = -78 - j. Put 4/3, o, -0.5 in descending order.
4/3, o, -0.5
Let f = 23 | {
"pile_set_name": "DM Mathematics"
} |
he biggest value in d, j, -0.5?
j
Let q = -50 - -49.7. What is the smallest value in q, 3, -0.049?
q
Let z be 16/(-12)*1/6. Let t = -17/2 - -8. Which is the biggest value? (a) z (b) t (c) -11
a
Let d = 1.822 - 0.022. Let r = -3.2 - d. What is the biggest value in r, 0.03, 4, -3?
4
Let i be (1/3)/(146/365). What is the third smallest value in 1.8, i, -2/15?
1.8
Let j = -54 + 38. Suppose 2*p - 4*q - 7 = -p, -4*p + 12 = -4*q. Which is the second smallest value? (a) p (b) j (c) 1/5
c
Let u = 12.3 + -19.1. What is the third smallest value in 4/7, u, -4?
4/7
Let g = -1100 - -1092. What is the third biggest value in -2, g, 9.5?
g
Let k = -10 - -7. Let s = -31 + 35. Let y = 37 - 77/2. What is the third smallest value in y, k, s?
s
Let f = -1478 + 1481. Which is the second smallest value? (a) f (b) -3.3 (c) -16
b
Let f = 169 + -136.8. Let i = -32 + f. What is the third smallest value in i, -8, -2/9?
i
Let h = 0.376 + -0.476. Which is the fourth smallest value? (a) h (b) 0.5 (c) -13 (d) -1/2
b
Let j be (10/40)/(30/8 - 3). Which is the second biggest value? (a) 3 (b) j (c) -4 (d) 6
a
Let g be ((-25)/20)/((-1)/4). Let j = 5 - 11. Which is the biggest value? (a) -4 (b) g (c) j
b
Let f = 1.56 + -2.16. What is the second biggest value in -3, -2, f?
-2
Let g = -94 + 89. Which is the third smallest value? (a) g (b) -1 (c) 0.3 (d) 2/7
d
Let u = 1.9 + -5.9. Which is the third smallest value? (a) 4 (b) u (c) 1/2
a
Let k = 0.4517 + -0.0517. What is the third biggest value in -1, -12, 0, k?
-1
Let i = 642 + -646. Which is the second biggest value? (a) 17 (b) i (c) -3
c
Let v = -146.2 - -147.1. Which is the fourth smallest value? (a) v (b) -5 (c) 0 (d) 0.5
a
Suppose 196 - 486 = -58*k. Let f = 0 + -1. Which is the smallest value? (a) 2 (b) f (c) k
b
Let q = 200 - 2001/10. Which is the third biggest value? (a) q (b) -5 (c) 0.4 (d) 0.11
a
Let u = 14.1 - 7. Let a = 7 - u. Let v be (1 - 0)*1*3. What is the second biggest value in 0.2, a, v?
0.2
Let p be (-4248)/(-20) - (-4)/(-10). Let l be (4*(-12)/p)/(-2). Let m = -453/212 - l. Which is the biggest value? (a) -4 (b) 4 (c) m
b
Let f = 151 + -93. Let o = f - 57.7. Which is the fourth smallest value? (a) 3 (b) -2/5 (c) 5 (d) o
c
Let t be (-145)/45 - 2/(-9). Let u be (-128)/24 + (-1)/t. Which is the biggest value? (a) 4 (b) 2/7 (c) u
a
Let j = -2/31 - 27/62. Let f be (-63)/(-1080)*9*1/3. Let z = f + 31/280. What is the smallest value in z, -4, j?
-4
Let l = -9.1 - -9. Suppose 14 = -4*y + 2. Which is the smallest value? (a) l (b) 1 (c) y
c
Let t = -0.036 - -22.036. Let u = -32 + t. Let m = u - -5. Which is the smallest value? (a) m (b) -1/7 (c) 5
a
Let b = -8251/115 - -357/5. Let w = 10/161 + b. Let k be 4 + -6 + 20/11. What is the second biggest value in 7, w, k?
k
Let k = -20.8 - -20.8. What is the third smallest value in -0.379, k, -2?
k
Let q = -0.41 + 0.01. Let s = 378.6 + -376.5. What is the second biggest value in 0, q, s, 0.4?
0.4
Let x = -2/93 - 20/31. Let o = 1072 + -1065. Which is the third biggest value? (a) -0.1 (b) x (c) -5 (d) o
b
Let g = 3.44 + -0.44. Suppose 25 = 2*u + 3*u, 4*m - 11 = 5*u. Let c(s) = s**3 - 8*s**2 - 10*s + 8. Let l be c(m). What is the smallest value in l, g, -12?
-12
Let l = -284.1 + 284. What is the biggest value in l, 0.4, -3, -4?
0.4
Let t = -1622 + 1621. Which is the fourth smallest value? (a) t (b) 2/7 (c) -0.07 (d) 0.2
b
Suppose -64*n + 70*n = 18. Let k be 1 - ((-22)/(-10) - (n + -2)). Let j = -1 - -1. What is the second biggest value in k, -1, j?
k
Suppose 0 = -3*i - 9 + 12. Which is the second biggest value? (a) 2/9 (b) i (c) 0.25
c
Suppose 12 = -4*t + 3*r - 12, -2*r + 11 = -t. Which is the smallest value? (a) t (b) -4/3 (c) 1/15 (d) 4
a
Let h = -1.069 - -1.469. What is the second biggest value in 0.1, h, -3.8, -2?
0.1
Let j = 16 + -17.6. Let p = -1.1 - j. Let l = 1.04 + -0.04. Which is the third biggest value? (a) p (b) l (c) -2/27
c
Let h = 397 - 1589/4. What is the third smallest value in -5, -0.5, h, -50?
-0.5
Suppose 0 + 6 = 2*m. Let q be (-158)/(-1185)*3/2. What is the second biggest value in q, m, -2?
q
Suppose 0 = -z - 24 + 26. Let g = 39 + -27. Which is the third smallest value? (a) g (b) z (c) -1/8
a
Suppose q = -2*q - 18. Let d be q*4/32*-4. Let y = d - 8. Which is the second smallest value? (a) 0.2 (b) -0.1 (c) y
b
Let j = 1597 + -1601. Which is the third smallest value? (a) 5/14 (b) -5/2 (c) j (d) -4/9
d
Let p = 284.5 + -286. What is the third biggest value in 0.8, p, -0.2?
p
Let v be 158/(-18) - (-102 - -93). What is the third biggest value in v, -0.2, 39?
-0.2
Let d = 120.3 + -114. Let m = -6 + d. Let s = 0.061 + 1.939. Which is the smallest value? (a) 5 (b) s (c) m
c
Let m = 2.09 - 2.19. Which is the second smallest value? (a) 3/2 (b) m (c) 28 (d) 1
d
Let y(v) = v**3 - 6*v**2 - 8*v + 5. Let w be y(7). Let t = 20 - 38. Let z = 24 + t. What is the third biggest value in 4, z, w?
w
Let u = 20.5 + -0.5. Let i = -19.7 + u. Which is the smallest value? (a) i (b) -5 (c) 0.1
b
Let m(g) = 12*g**2 + 3*g - 1. Let y be m(1). Let f be 6/y - (5 - 5). Which is the smallest value? (a) f (b) -1/8 (c) 2
b
Let r = 3 + -3.2. Let h = -61 + 61.43. Let l = h - -0.07. Which is the second smallest value? (a) r (b) 4 (c) l
c
Let h = -0.52 + 0.22. Let k = h + 2.3. Which is the third biggest value? (a) k (b) -1 (c) 0.07
b
Let v be 3/2*-2*76/(-6). Suppose -3*p - 53 + v = 0. Which is the third biggest value? (a) -0.2 (b) 0.4 (c) p
c
Let t = -0.007 + -27.993. Let g = t + 27.8. Which is the second smallest value? (a) -3/4 (b) g (c) 1
b
Let m = 0.07 + 0.93. What is the third smallest value in -2, m, -5?
m
Let v = 297 + -191.3. Let n = 106 - v. What is the fourth biggest value in n, -1/7, 0.2, -1?
-1
Let g = -2 + 6. Let p = -5 + g. Let i = 23.1 + -23.17. Which is the biggest value? (a) i (b) -4 (c) p
a
Let h = 2104.6 + -2105. Let k = 2.8 - -0.25. Let f = k + -0.05. Which is the smallest value? (a) h (b) f (c) 3/4
a
Let g = -19.1 - -2.1. Let j = -33 + 50. Let t = g + j. What is the biggest value in -0.5, t, -2/5?
t
Let h(g) = 26*g - 129. Let x be h(5). Let v(l) = -4*l + 1. Let u be v(-2). Let z be (-3)/u*3/(-2). Which is the third smallest value? (a) -1 (b) x (c) z
b
Let w be -7 - -1 - (-1360)/238. Which is the third biggest value? (a) 1 (b) 3 (c) w (d) -1
c
Suppose -28*q + 17*q = -33. Which is the fourth smallest value? (a) q (b) 0.02 (c) -5 (d) -9/4
a
Let m = 2405 - 2406. Which is the second smallest value? (a) m (b) -2 (c) 5 (d) 1
a
Let u = 0.7 - 1.1. Let d = 0.153 + 3.847. Which is the second biggest value? (a) d (b) u (c) 3
c
Let i = 255.9 + -256. Which is the third biggest value? (a) 4/9 (b) i (c) -2/17
c
Suppose -5*q + 2*u = 17 - 2, 0 = -2*q + 2*u. Suppose 2*a - 3*x + 82 = 0, a + 0*a + 51 = 4*x. Let d = a + 104/3. What is the second biggest value in q, d, 3?
d
Let k = -0.4 + 4.4. Let r = -246.6 - -246.5. Which is the smallest value? (a) r (b) 2/3 (c) k
a
Let k = -919/1254 - -34/57. What is the fourth biggest value in -4, 2/7, -2/3, k?
-4
Let f = -20 - -23. Let m = 4.6 + -2.6. Let g = 1.2 + -1.09. Which is the biggest value? (a) g (b) f (c) m
b
Suppose 3*r - 9*r - 48 = 0. Which is the second biggest value? (a) r (b) -2 (c) 0 (d) 2
c
Let n = 19.3 - 18.33. Let y = -0.17 + n. Let q = y + -0.9. Which is the second smallest value? (a) 1 (b) 3 (c) q
a
Let j = -0.3 + -1.7. Let o = -337.15 - -333.15. What is the second smallest value in o, j, 5, 6/7?
j
Let s = -275.963 - -275. Let n = s - 0.037. Let y = 0 + 0.4. What is the third biggest value in n, -5, y?
-5
Suppose -78 = -69*s + 43*s. Which is the biggest value? (a) -0.3 (b) -1 (c) s
c
Let p be 4/8 - 12261/34. Let f = p + 360. Which is the third smallest value? (a) 2/7 (b) 4 (c) f
b
Let z = -239/96 + -1/96. Let p = -1 - -7. Let g = p - 8. What is the third biggest value in g, -4, z?
-4
Let x be (-1 + 37 - 1) + -1. Let r be 2/2 + 2*1098/(-63). Let f = r + x. Which is the third smallest value? (a) 0.4 (b) f (c) 5
c
Let k = 709/88 - 63/8. Suppose 33 = 4*u + 3*s, -u = -s - 2 - 8. Let f be u/(-9) + 3/1. What is the second smallest value in k, 2/9, f?
2/9
Let i = 96.1 - 95.9. What is the third bi | {
"pile_set_name": "DM Mathematics"
} |
1
Suppose -2*w = 29 + 3. Let f = -20 - w. Let z(o) = -9*o - 9. What is the units digit of z(f)?
7
Let s = 11 - 3. Let v(t) = -t**3 + 8*t**2 + 13*t - 15. What is the units digit of v(s)?
9
Let h = 1284 - 795. What is the tens digit of h?
8
Let y be -2 + 0 + (-1 - 0). Let t(f) = -f**3 - 3*f**2 - f + 2. Let n be t(y). Suppose 4*k = -n + 169. What is the units digit of k?
1
What is the units digit of (5 - 9944/8)/(2/(-3))?
7
Let o(b) be the second derivative of b**6/90 + b**5/60 + b**4/12 - 5*b**3/6 + 3*b. Let a(w) be the second derivative of o(w). What is the tens digit of a(-3)?
3
Suppose 2*j - 26*i = -31*i + 1812, 0 = -4*j - 5*i + 3624. What is the hundreds digit of j?
9
What is the tens digit of 1551 - (6/(-2) - -5)?
4
Let m(p) = p**2 - 3*p + 2. Let b(v) = -v**3 + 8*v**2 + 10*v - 3. Let q be b(9). Suppose -3*j = 3*a - q, 0*a = -2*a + j + 13. What is the tens digit of m(a)?
1
Let d(c) be the first derivative of -11*c**2 - 10*c + 38. What is the tens digit of d(-8)?
6
Let d(c) = 3*c**2 - 12*c + 28. Let u be (0 - 14)*2/(-4). What is the units digit of d(u)?
1
Suppose 8 = -0*o + o + 4*m, 2*o - 2*m - 6 = 0. Let f(z) = z**3 - 4*z**2 + 4*z + 6. What is the tens digit of f(o)?
2
Let p(i) = -i**3 - i**2 - i - 9. Let q be p(0). Let u = q + 19. What is the tens digit of u?
1
Suppose 3*t + 2*c + 10 = -3*c, 5*c = -25. Let l = t - 23. Let z = 25 + l. What is the units digit of z?
7
Suppose -2*o + 3*o - 44 = i, 0 = i - 5*o + 44. Let w = -40 - i. What is the units digit of w?
4
Suppose 25*b + 16610 = 47*b. What is the hundreds digit of b?
7
Let t(i) be the first derivative of -i**4/4 - 17*i**3/3 - 19*i**2/2 - 19*i - 7. What is the tens digit of t(-16)?
2
Let y = -874 - -1569. Suppose d - y = -4*d. What is the tens digit of d?
3
Let t(k) = 63*k + 336. What is the units digit of t(4)?
8
Let k = -912 + 1660. What is the hundreds digit of k?
7
Let p(u) = 4*u**3 + 4*u**2 - 7. Let n be p(3). Suppose -4*t + 389 = -c - n, -4*t = -4*c - 532. What is the tens digit of t?
3
What is the thousands digit of -2*(5 - 2) - (-1519 - 2)?
1
What is the units digit of ((-80)/28)/(26/(-4823))?
0
Suppose -13*c = 6*c - 2223. What is the hundreds digit of c?
1
Let p(d) = -62*d + 24. Let k be (9/(-12))/(3*(-2)/(-24)). What is the tens digit of p(k)?
1
Let d be (292/8)/((-6)/(-12)). Let c = d - 6. What is the tens digit of c?
6
Let y = 3635 + -1034. What is the hundreds digit of y?
6
Suppose 4*j = -20*j + 14736. What is the hundreds digit of j?
6
Let v = -3803 + 5389. What is the units digit of v?
6
Let g(u) = 2*u - 1. Let k be g(2). What is the units digit of 91 + 1 + 1 + k?
6
Suppose f - 41 = w, -4*w + 121 + 75 = 4*f. Let c(z) = 20*z + 164. Let y be c(-8). Suppose g + f = y*g. What is the units digit of g?
5
Suppose 2*h + 3*q = 7*q + 24, 2*h + 4*q = 0. Let c be (-18)/10*(1 - h). Suppose -5*y + 89 = c. What is the units digit of y?
6
Let h = -4 - 11. Let s be 5/(h/(-9)) + 43. Suppose -s = -2*v + 3*u, -7*v - 3*u + 115 = -2*v. What is the tens digit of v?
2
Let l(p) = -p**3 - 7*p**2 - 5*p - 17. Let g(v) = -v**3 - 9*v**2 + 3*v + 20. Let q be g(-9). What is the tens digit of l(q)?
1
Let j be (-3 + (-6)/(-1))/1. Let n = j - 9. What is the units digit of 9 + n - (-17 - 0)?
0
Suppose 8*s = 32*s - 2424. What is the tens digit of s?
0
Suppose -w = -5*w + 916. Let u = -161 + w. What is the tens digit of u?
6
Suppose 4*u - 677 = 3*g, g + 15 = -4*g. What is the tens digit of u?
6
Let x = -16 - -14. Let v(w) = -12*w**2 + w - 1. Let t be v(x). What is the tens digit of 1*3 - t/3?
2
Let c = -12 - -29. What is the tens digit of (c/5 - 1)*(-8 + 13)?
1
Let a(k) = -k**3 - 6*k**2 - k + 7. Let s be -2*3 + 4 + -3. Let q be a(s). Let b(p) = -2*p - 3. What is the tens digit of b(q)?
2
Let b(f) = 9*f**3. Let w be b(1). Suppose w*x - 6*x = 123. What is the units digit of x?
1
Let m(y) = 20*y - 9. What is the hundreds digit of m(15)?
2
Let n be (-2)/8 + (-236)/16. Let w = -14 - n. What is the units digit of w?
1
Let a(l) = -l**3 + 2*l**2 + l + 140. What is the units digit of a(0)?
0
Suppose -5*r + p + 3846 = -4134, 5*r - 3*p - 7980 = 0. Suppose 0 = 40*l - 34*l - r. What is the units digit of l?
6
Let j(g) be the second derivative of 11*g**4/3 + 2*g**3/3 + 5*g**2/2 - 13*g. What is the tens digit of j(-2)?
7
Let r(k) = k**3 + 17*k**2 + 17*k + 3. Let v be r(-16). Let p = 17 + v. Suppose -6 = -p*q - 2*t, -t + 8 - 2 = 3*q. What is the units digit of q?
3
Suppose -4*x + 275 = 2*j - 519, 0 = -2*j + 4*x + 818. What is the units digit of j?
3
Let k(w) be the first derivative of w - 6. Let q(i) = 12*i + 3. Let z(o) = -3*k(o) - q(o). What is the tens digit of z(-4)?
4
Let m(f) = 26*f - 69. What is the units digit of m(7)?
3
Suppose l - 214 = 3*k + 364, 3*k + 1716 = 3*l. What is the hundreds digit of l?
5
Let p = 502 + -330. What is the units digit of p?
2
Let l be (-8 - -4) + 0 - 1. Suppose -2*g - 3*g + 100 = 5*w, -4*w + g + 70 = 0. Let o = w - l. What is the tens digit of o?
2
Let b be (15/(-10))/3*-186. Let z = 192 - b. What is the tens digit of z?
9
Suppose 281 = 9*g - 7. Let t = -29 + g. What is the units digit of (4*14)/(t + -2)?
6
Let l(g) = 12*g**2 + 9*g - 35. What is the tens digit of l(6)?
5
Let q(d) be the second derivative of -d**5/2 - d**4/4 - d**3/3 - 2*d**2 - 13*d. What is the tens digit of q(-3)?
4
Suppose -2*s + 5026 = q, 3*s - 12*q = -8*q + 7561. What is the hundreds digit of s?
5
Let s be (24/(-16))/((-6)/92). Let n = 28 - s. What is the units digit of n?
5
Let n = 44 + -5. Suppose -159 + n = -4*w. What is the tens digit of w?
3
Let b(v) = -v**3 + 5*v**2 - 3*v - 4. Let u be (9 - 4)*(-8)/(-10). Let d be b(u). Suppose d = -5*w + 212 + 13. What is the tens digit of w?
4
What is the hundreds digit of 450/(-12)*58/(-3)?
7
Let k(o) = -4*o - 3 - 2 - 2. Let y(h) = 7*h**3 - h**2 - 3*h - 1. Let u be y(-1). What is the units digit of k(u)?
7
Let s = -592 - -1009. What is the hundreds digit of s?
4
Let u(l) = 4*l**2 + 8 - 7*l**2 + 7*l**2 - 3*l**2. What is the units digit of u(-9)?
9
Let v(x) = x**3 - 5*x - 10. Let r be v(-4). Let k = r - -76. What is the units digit of k?
2
Let z be ((-7)/(-4))/((-2)/(-56)*-1). What is the hundreds digit of (z - 3 - 1)/((-3)/6)?
1
Let r(g) = -g**2 - 22*g + 2. Let z be 1*((-27)/(-63) - (-143)/(-7)). What is the units digit of r(z)?
2
Suppose 0 = -8*d + 3*d + 15. Suppose -w - 13 = 3*x, d*w + 15 = -5*x - 12. Let y(p) = p**3 + 4*p**2 + 5. What is the units digit of y(w)?
5
Suppose -148*j = -155*j + 140. Let d = -2 - -12. What is the tens digit of (-19)/(-2) + d/j?
1
Suppose 10*d - 2*z - 6056 = 8*d, -2*d + 6036 = 2*z. What is the hundreds digit of d?
0
Let p be (0 - 10)/(16/(-64)). Suppose p - 310 = -3*v. What is the units digit of v?
0
Let g be (-2)/(-3) - (3 + (-326)/6). Let x = g + 24. What is the units digit of x?
6
What is the tens digit of (-10)/(-20) - (-1089)/6?
8
Let g = -186 + 566. What is the units digit of g?
0
Suppose 4 = 2*n - 4. Suppose 3*z + 4*t = 53, 3*z = -z + n*t + 108. Suppose -22*g = -z*g + 47. What is the units digit of g?
7
Let h(z) = -58*z + 64. What is the units digit of h(-6)?
2
Suppose -o + 3*d = -111, 7*d = -4*o + 2*d + 410. Suppose 0*q - o = -3*q. What is the tens digit of q?
3
Let j = -901 + 1326. What is the units digit of j?
5
What is the hundreds digit of 9138/14 + (-22)/(-847)*11?
6
Let l = 180 - 113. Suppose r + l = k, -k + r = 6*r - 91. What is the tens digit of k?
7
Let w be (-15176)/(-12) - (-4)/(-6). What is the units digit of (w/(-40))/(4/(-10))?
9
What is the tens digit of (83 + -14)/(3/8)?
8
Suppose 0 = 12*w - 15188 - 52384. What is the hundreds digit of w?
6
Suppose 0 = -3*g + q + 142, 122 = 3*g - 0*q + 4*q. Suppose 2 = -2*z + g. What is the tens digit of z?
2
Suppose l + 3*l - 696 = 0. What is the tens digit of l?
7
Let i = 129 + -87. What is the units digit of 7*4/i*117?
8
What is the units digit of 862 - (-4 + -7 + 4)?
9
Let w(s) = s - 6. Let r be w(6). Suppose -a = -r*a - 174. What is the tens digit of a?
7
Suppose -5*n = -4*c - 48, -2*n = 3*c - c - 12. Let a(k) = 6*k - 37. What is the tens digit of a(n)?
1
Let n(c) = 2*c**3 - 35*c**2 + 50*c - 35. What is the thousands digit of n(19)?
1
Let w(h) = h**3 - 9*h**2 + 15*h - 7. Let y be w(8). Suppose y*j + 405 = 46*j. Let q = -80 - j. What is the tens digit of q?
5
Let q be 52*((-5)/(-15))/( | {
"pile_set_name": "DM Mathematics"
} |
5 - -103)
45
What is (0 + 4 - (1 + 43)) + -1428 + 1420?
-48
What is the value of 11 + -147 - (7 + -27) - (-4 + -12 - -1)?
-101
What is -2 + -2 - (633 + -606 + -4 + -1)?
-26
Calculate (23 - (0 - 2)) + -2 + -45 + (17 - -33).
28
Evaluate -11 - (-13 + (57 + -68 - (70 + -2))).
81
Calculate 69 + (-77 - -41) + -19 + -1.
13
What is the value of -1 + -18 - (-362 - -355) - 37?
-49
What is the value of 2 + -5 - -63 - (2 - 30 - (55 - 72))?
71
-18 - ((164 - 142) + 3 + -96)
53
What is (10 - (20 - -1)) + -1 - (-39 + 5)?
22
-15 - (3 - (-8 - -14 - 2))
-14
Calculate 172 - 203 - (-9 + 33).
-55
-57 + 21 + -78 + -34 + 58
-90
(6 - (1 + 7)) + 8 - 0 - (-19 - -63)
-38
What is the value of 74 - (-1 + -14 - -27) - 23?
39
What is the value of 101 + 12 + (52 - 182)?
-17
What is the value of -19 + (-30 - -2 - (-199 - -185))?
-33
What is (-27 - (35 + -18 + -48)) + 67?
71
Calculate 6 + 23 + 2 + -43.
-12
Calculate ((21 - 41) + -87 - -10) + 8.
-89
What is the value of -4 - ((-58 - -66) + 10 + 0 - -5)?
-27
Calculate (70 - (15 + 114)) + -2 + 5 + 0.
-56
What is -6 - (2 - (0 + 3) - 2) - -6 - -65?
68
1 + 60 + 48 + -95
14
What is the value of 0 + -55 - (33 + -52 + 2 - (2 + -22))?
-58
Calculate (-44 - -42) + -56 - -23.
-35
Calculate -38 - 38 - (-99 - -92).
-69
What is 23 - (11 - 8) - 27 - (-1 + -7) - 2?
-1
Evaluate -67 + (0 - -7 - (12 + 2 - (52 - 42))).
-64
What is the value of (-1 - -109) + 2 + 3 + 7 + 22 + -31?
111
Calculate -18 - (-67 - ((-5 - -18) + -17)).
45
What is the value of (-2 - -2) + 14 - (-1078 - -1117)?
-25
What is the value of -2 + 32 + (-1 - 26) + (28 - 11)?
20
-29 + 89 + -64 - (-7 - (-2 + 0 - -2))
3
What is 72 - 2 - ((-4 - -2) + (-6 - (17 - 36)))?
59
What is -6 + (20 - (2 - (4 - 6 - -6)))?
16
Calculate 26 + 4 + -21 - (4 + 8 + 5) - -111.
103
-3 + 6 + 5 + 1 + -10 + -3
-4
What is 15 + -5 + 11 + (-56 - -116) + -51?
30
1 - (-7 + 40 + -13 - 7) - 2
-14
What is -848 - -813 - ((-1 - -2) + -2 - -11)?
-45
Calculate (-7 - (2 + -15 - (-6 + -16 + 26))) + 36.
46
Calculate -4 - (0 + -7) - (10 - 8) - (-8 + -34).
43
Evaluate -78 - -19 - (-8 + -2 + 7 + -4).
-52
What is the value of -1 + -10 - (-82 + -24)?
95
(54 - (-65 - -139) - (-32 + -3)) + -69
-54
-11 - -1 - (-8 + -15) - -35
48
(-53 - -16) + -87 + 23
-101
What is 6 - (7 - (1 - 5)) - (31 + -18 - -15)?
-33
Evaluate (54 - -19) + -63 + -38 + 2.
-26
-58 + 1 + (4 - (-12 + 3)) + -5
-49
What is the value of -3 - (-7 + 4) - ((98 - -51) + -50)?
-99
8 - (-60 + 21 + 37 - (-72 - 0))
-62
(-19 - (35 + -47 - (-1 + 2))) + 49
43
Calculate 36 - (-6 + 20 + (-11 + -7 - -5)).
35
What is the value of -57 + (-42 - (-157 + 55))?
3
What is the value of 11 + 1 + (1 - (-1 - -4)) - (-207 - -270)?
-53
Evaluate (-42 - 1 - (-167 - -164)) + -3 + 11.
-32
Calculate 34 - (20 - -5 - (22 - 13)).
18
What is the value of (61 + 45 - -28) + -65?
69
What is the value of (14 - (-10 - -7) - 4) + (-9 - -31 - 16)?
19
What is the value of 22 + 9 + -14 + -61?
-44
(-2 + -62 - (-3421 + 3387)) + 22 + -1
-9
-10 - 45 - (28 - 124)
41
What is (4 - -4 - 0 - (76 + 14)) + (11 - -1)?
-70
What is -41 + -3 + 40 + -41?
-45
What is 18 - (0 + 0) - (-11520 - -11597)?
-59
What is 19 + 8 + 17 + -29 + -12?
3
19 + -7 + 47 + -34 + 22
47
Calculate -1 + (38 + -29 - -2 - 36).
-26
((-14 - -15) + 17 - (-9 - -1)) + 7 + -2
31
Evaluate 5 + 5 + -14 - (-2 + -7 + 2 + 1).
2
What is the value of 27 - -12 - (3 + -5 + 11)?
30
Calculate 22 + (-151 + 86 - 20).
-63
Calculate -68 + 33 - (-45 - 26).
36
What is the value of (-127 - (-62 - (13 + -19))) + 1 + 1?
-69
What is the value of (23 - (-3 - -22)) + -14 - 13?
-23
What is the value of -486 - -380 - (2 + -71)?
-37
Evaluate -2500 + 2493 + (0 - -72).
65
Evaluate 6 - ((9 - -1) + (25 - 29) - 17).
17
Evaluate 1 + -3 + -23 + -20 + 14.
-31
What is 14 + -13 + (8 - 17) + 8 + -4?
-4
What is 104 + -11 + -19 + -173?
-99
Calculate (-2 - 0) + 1 + 1 + -7533 + 7526 + -38.
-45
Calculate (80 - 32 - 40 - (1 - -11) - 6) + 76.
66
Evaluate -8 + (23 - (13 + 10)).
-8
(0 + (-23 - (15 - (-7 + 11))) - 1) + 8
-27
Evaluate 49 - (3 + -2 + (-132 - -135) + -1 + -14).
60
What is the value of 3 - -65 - (-10 + 22) - 34?
22
Calculate -53 + (-46 - (-67 - 3)).
-29
Calculate 12 - 21 - 21 - (-1 - 22).
-7
Calculate 21 - (-8 - (4 - 10)).
23
2835 + -2883 + (19 - 2)
-31
Evaluate 62 - (-66 + 92 + -9).
45
What is the value of -2 + -46 - (2 + -14 - (-163 - -141))?
-58
What is (379 - (334 - 99)) + (-1 + 1 - 14)?
130
Calculate 10 + 1 + 17 + -7 - -18.
39
What is 20 + -85 + 25 + 49?
9
What is the value of 8 - (-333 + 319 - (-22 - -1) - (-3 + 0))?
-2
What is the value of -21 - (32 + 3 + 31 + -28)?
-59
What is 1008 - 969 - (9 + -6 - 5)?
41
What is -5 + -27 - 1 - -50?
17
-2 - 0 - (0 + (4 - (18 + -19)))
-7
8 + 34 + -8 - -19
53
Evaluate (-19 + 98 - 26) + 33.
86
Evaluate 215 - (136 - (58 - 43)).
94
What is the value of 3 - -4 - (-6 - (14 - (22 - 13)))?
18
What is the value of -3 - -2 - 69 - (-245 - -265)?
-90
(40 - 17 - (6 + 6)) + -2 + -18
-9
What is (12 - ((-2 - -4) + -3)) + 1907 + -1913?
7
Calculate (-11 - 182) + (47 - (-21 + 18)).
-143
(1 - 1) + (13 - 1) + (-128 + 141 - 14)
11
What is -138 + 121 + -4 - (-3 - -14)?
-32
What is the value of -1 - -9 - (43 - (30 - 4)) - 62?
-71
Calculate -77 + 215 + -174 - (5 + -1).
-40
Evaluate -62 - (2 + -16 + (-5 - ((22 - 7) + -23))).
-51
What is the value of (180 - 156) + 5 + (0 - -2) + -5?
26
What is the value of -2543 - -2564 - (17 + -1)?
5
-5 - -12 - (-20 - (-19 - 7))
1
What is the value of 7 - 0 - (9 - (14 - (-27 - -31)))?
8
Calculate (-294 - -377) + (-1 + -1 - 2) + -101 + 103.
81
What is the value of -24 + (27 - -7) + (4 - (-4 + 5 + -58))?
71
Evaluate 86 - ((1 - 35) + (655 - 636)).
101
Calculate (348 + -350 - (1 - (5 - 0))) + (-10 - -3).
-5
Calculate 0 + 22 + (-303 - (-66 - 112)).
-103
Calculate 7 - (-112 - (-3 + -90)).
26
Evaluate 8 + (-7 - (14 - 8)) + -14 + 16 + 98.
95
Calculate -11 - (-126 - -22 - -59).
34
Evaluate 0 + -21 + (88 + -90 - -16) - (-2 + -112).
107
Calculate -9 + (-39 - (-76 + 50)).
-22
What is 13 + -45 - -18 - -11 - -8?
5
Calculate -164 + 237 - (199 + -28).
-98
Evaluate 46 + -64 - (1 - (-30 - 18)).
-67
Evaluate 0 - -54 - (-5834 - -5947).
-59
Calculate 17 - (-20 + 30 - -117) - (8 + -25).
-93
Calculate 22 + -30 + -14 - -27 - (-2 + 1 - 26).
32
21 + (10 + -39 - -7) + 27
26
What is the value of (-17 + 26 - -64) + -116?
-43
Calculate (8 + -46 - 4) + -13.
-55
Evaluate 22 - (-37 - -16 - -33 - -92).
-82
What is the value of -49 + 26 + 185 + -87?
75
What is the value of -47 - (-71 - (-69 + -66))?
-111
What is 111 + (-11 - (14 + 14 + -22)) + -16?
78
-99 + -2 - (3983 + -3983)
-101
What is (-5 - 8) + (19 - 37) + 47?
16
(-60 - (56 - 89)) + -27 + -1
-55
(29 - (8 - -7)) + -9 + (6 - -1) + -1
11
16 + (3 - (146 - 37))
-90
Calculate 38 - (6 - (-35 + 69 - 15)).
51
What is the value of (-31 - -15 - -2) + 6 - -69?
61
What is 72 + (50 - 65 - 33)?
24
-66 + 150 + -164 + 69
-11
Evaluate 19 - ((240 - 188) + (-11 - 0)).
-22
Evaluate 42 - 58 - (21 + 1).
-38
Calculate 1 + -2 - (-14 + (2 - -6) + -1) - 29.
-23
What is (12 - 0) + 3400 + -3406?
6
Calculate -280 + 152 + -94 - -136.
-86
Evaluate -41 + (-43 - (51 - 139)).
4
What is the value of -365 + 443 + (51 - 15)?
114
What is 2 + 1 - (4 - (-20 + 18 - -8) - -51)?
-46
Calculate (-12 - (8 - (1 - 1 - -8))) + 2.
-10
Calculate 4781 - 4779 - (-48 - -2 - -4).
44
Calculate -21 + 25 + 2 + -2.
4
What is the value of (2752 - 2706) + 1 + 3 + 1 + -2?
49
Calculate (-42 + -20 - 6) + -6 + 14.
-60
120 + (24 - 41) + -8 - 7
88
What is the value of -7281 + 7304 + 1 + 2?
26
What is the value of 11 + 6 + 8 + -14 - (11 - 13)?
13
What is -7 - 5 - -67 - (-10 - -17)?
48
0 + -29 - ((-121 + 60 - -14) + 30)
-12
What is the value of -5 + (-23 - 10) + 54 + -70?
-54
(5 + 0 + -23 + 11 - -1) + 18
12
Calculate 56 + (-69 - -50) + -105.
-68
Calculate 20 + -1 + (199 - 181).
37
Calculate 111 - (17 + (14 - (16 + -10 + 16)) - 11).
113
Evaluate (-5 - 4) + (4 - -3) + (-5 - -6) + 4.
3
What is the value of ((16 - 23) + 9 - (-13 - (7 - 3))) + -2?
17
What is the value of (-62 + 0 - 19) + 80?
-1
Evaluate -175 + 108 + -19 - -84.
-2
What is the value of (-19 + 35 - 14 - 12) + 15?
5
What is -153 - (-319 + 163) - (-2 + 3 - (-1 - 75))?
-74
What is the value of 1 + 14 + (-8 + 17 - 8)?
16
Calculate -5 + (0 - (6 + -65)) + 35 + -19.
70
-58 + 129 + -47 + 39
63
Calculate (-55 - 1) + 4028 + -4000 + (-1 - 40 | {
"pile_set_name": "DM Mathematics"
} |
g + 155179 - 77590. Let m(t) = -237*t - 6. Calculate m(s(v)).
-237*v - 6
Let i(n) = -17*n. Let q(x) be the second derivative of -1 + 11/3*x**3 + 2*x + 0*x**2. Determine i(q(y)).
-374*y
Let o(y) = -6*y**2 + 12*y**2 - 2*y**2 - 3*y**2. Let w = -11 - -19. Let m(q) = -w + 8 - 5*q + 3*q. What is m(o(i))?
-2*i**2
Let b(s) be the second derivative of -3*s**3/2 + 5*s**2 + 48*s. Let z(c) = 8*c - 8. Let x(i) = -4*b(i) - 5*z(i). Let j(k) = -k. Calculate j(x(a)).
4*a
Let o(v) be the first derivative of v**2/2 - 957. Let y(q) = 28*q**2 - 29. What is y(o(m))?
28*m**2 - 29
Let a(c) = -14883*c. Let n(f) = -2*f + 1393. Calculate n(a(i)).
29766*i + 1393
Let a(f) = -f**2. Let z(x) = 5583865*x. What is a(z(u))?
-31179548338225*u**2
Let v(y) = -12 + 4 + 8 - y. Let l(f) = f. Let c(n) = l(n) - v(n). Let i(r) = -3*r - 4. Let q(a) = -3*a - 3. Let s(z) = -3*i(z) + 4*q(z). Determine s(c(j)).
-6*j
Let a(o) = 30*o**2. Let m(q) = -10*q + 10. Let d(c) = -c + 2. Suppose -30 = -11*y + 5*y. Let t(j) = y*d(j) - m(j). Calculate a(t(h)).
750*h**2
Let p(j) = 2*j. Let k(d) = -61*d + 117*d + 1497*d. What is p(k(i))?
3106*i
Let l(b) = -133*b. Let i(r) = 21*r + 12*r + 20*r - 68*r + 12*r. Calculate i(l(u)).
399*u
Let j(u) be the second derivative of -73*u**7/504 - u**4/12 + 25*u**3/3 - 275*u. Let w(h) be the third derivative of j(h). Let i(d) = -d. Give i(w(m)).
365*m**2
Suppose -5*d + 30 = 5*u, 4*u - 3*d + 5 - 1 = 0. Suppose -3*t = -u - 181. Let y(x) = -61 + 4*x + t. Let o(f) = -18*f**2. Calculate o(y(g)).
-288*g**2
Let m(k) = -k**2. Let r(s) = -7*s + 0*s**2 - s - 4*s**2 + 9*s**2. Let b(w) = -27*w**2 + 41*w. Let x(y) = 2*b(y) + 11*r(y). Calculate x(m(a)).
a**4 + 6*a**2
Let l(y) = -80*y. Let o(g) = -6*g**2. Let h(x) = 2*x**2. Suppose 0 = -2*u + 2*p + 4, u + 5*p + 22 = -0*p. Let v(c) = u*o(c) - 5*h(c). What is l(v(d))?
-160*d**2
Let f(n) be the third derivative of -n**6/80 - 25*n**4/24 - 5*n**2 - 2. Let v(x) be the second derivative of f(x). Let b(r) = 7*r**2. Determine v(b(j)).
-63*j**2
Let w(h) = -4*h. Let o be (-12)/9*6/4. Let u be -2 - 2 - (o/2 + -5). Let c(l) = -5*l**2 + 2*l**2 - 6*l**2 + u*l**2. Calculate c(w(t)).
-112*t**2
Let v(j) = -58*j - 32. Let k(d) = -18*d - 10. Let t(z) = -16*k(z) + 5*v(z). Let n(a) = -3030*a. Determine n(t(b)).
6060*b
Let h(t) = -9*t**2. Let m(p) = 504*p**2 - 24*p + 15. Calculate m(h(z)).
40824*z**4 + 216*z**2 + 15
Let q(l) be the first derivative of 105*l**2 + 4051. Let b(y) = 10*y. Determine b(q(u)).
2100*u
Let o(s) = -2*s**2 + 0*s**2 - 4*s**2. Let x(z) = -3*z - 5. Let q be x(-9). Let j(m) = 12 - 6*m + 10 - q. Calculate j(o(v)).
36*v**2
Let m(l) be the first derivative of -68*l**3 + 1162. Let n(z) = z. What is m(n(j))?
-204*j**2
Let v(o) = -o. Let s = 358 + -356. Let c(l) = 616*l + s - 4 - 692*l. Determine c(v(j)).
76*j - 2
Let a(d) = 3*d. Let v(w) = 750 + 24*w + 2*w + 8*w - 707 + 3*w. Give a(v(f)).
111*f + 129
Let i(b) = -2*b. Let s(f) = -23943*f**2 - 5874*f. Determine i(s(l)).
47886*l**2 + 11748*l
Let b(u) = -2*u - 7 + 7. Let k(w) be the first derivative of 8*w**3/3 - 10034. What is k(b(f))?
32*f**2
Let v(u) = -u**2. Let k(d) = 8265267*d**2 + 1. Calculate k(v(g)).
8265267*g**4 + 1
Let z(y) = -996*y - 40. Let f(t) = t - 76. What is f(z(a))?
-996*a - 116
Let s(n) = -5*n**2. Let j be ((-28)/(-6))/(-7) + (-140)/(-12). Let k(o) = 15755 + j*o - 15755. Calculate k(s(w)).
-55*w**2
Let c(o) be the third derivative of -9*o**5/20 + 4*o**2 + 6. Let w(t) be the second derivative of 5*t**3/6 - t - 156. Calculate c(w(y)).
-675*y**2
Let s(f) = -4*f + 2. Let c(q) be the second derivative of -q**7/2520 - 3*q**4/4 - 7*q**2/2 - 23*q. Let k(y) be the third derivative of c(y). Determine s(k(l)).
4*l**2 + 2
Let k(i) = 3*i**2. Let x(a) = 26*a. Let d(r) = 13*r. Suppose 48 + 9 = m. Let t be (-1)/4 - m/12. Let b(u) = t*d(u) + 3*x(u). Determine b(k(c)).
39*c**2
Let z(h) be the third derivative of -h**5/12 + 29*h**2 + 2*h + 18. Let g(v) = v**2 + 0*v**2 + 3*v**2. Determine z(g(m)).
-80*m**4
Let v(y) be the first derivative of -31*y**2 + y - 1463. Let j(f) = 19*f**2. What is j(v(s))?
73036*s**2 - 2356*s + 19
Let p(s) = 83*s**2 - 27*s. Let w(i) = 4036*i. Determine w(p(m)).
334988*m**2 - 108972*m
Suppose 4*y + 23*a = 19*a - 4, -y + 7 = -a. Let n(s) be the second derivative of 3*s + 0*s**y + 0*s**2 + 1/3*s**4 + 0. Let x(f) = -9*f. Give x(n(j)).
-36*j**2
Let j(t) = 12*t. Let u(h) = h. Let x(s) = j(s) - 9*u(s). Let v(i) = -5938 + 1978 + 1981 - 3*i + 1974. Give x(v(d)).
-9*d - 15
Let g(d) = 4*d**2. Let c(p) = -3069214*p. Give g(c(t)).
37680298311184*t**2
Let q(u) = 978*u**2 - 847*u**2 - 423*u**2. Let b(i) = -4*i**2. Determine q(b(l)).
-4672*l**4
Let u(p) = -63*p**2. Let l(x) be the second derivative of x**6/360 + 5*x**4/12 - x**3/2 - 47*x. Let a(v) be the third derivative of l(v). Calculate a(u(h)).
-126*h**2
Let r(s) = -s - 4540539. Let b(q) = -195*q. Determine b(r(n)).
195*n + 885405105
Let i(b) be the second derivative of -b**6/360 + 5*b**4/6 - 40*b. Let f(o) be the third derivative of i(o). Let c(s) = 4*s. Give c(f(n)).
-8*n
Let p(n) = 27*n. Let r(s) = -4*s - 21. Suppose 6 = -2*y, 3*a - 3*y = -5*y - 12. Let b(c) = -4*c - 14. Let q(m) = a*r(m) + 3*b(m). What is q(p(h))?
-108*h
Let w(v) be the first derivative of -1/12*v**4 + 0*v**2 - 25*v + 0*v**3 + 30. Let m(k) be the first derivative of w(k). Let d(j) = -7*j**2. Determine d(m(i)).
-7*i**4
Let o(s) be the third derivative of -s**7/1260 - s**4/4 + 5*s**3/6 + 58*s**2. Let x(h) be the second derivative of o(h). Let u(t) = 137*t**2. Give x(u(j)).
-37538*j**4
Let j(o) = 81*o**2. Let z(a) be the third derivative of a**5/60 - a**4/24 - 84*a**2 + 4. Determine z(j(c)).
6561*c**4 - 81*c**2
Let t(u) = 7*u**2 - 5. Let c(y) = -101*y**2 + 30*y**2 + 8 + 36*y**2 + 24*y**2. Let s(v) = -5*c(v) - 8*t(v). Let a(f) = 186*f**2. Give s(a(p)).
-34596*p**4
Let q(d) = -24 - 3*d + 5*d + 34 - 10. Let p(j) = 23607*j**2. Calculate q(p(x)).
47214*x**2
Suppose 5 - 50 = -n. Suppose 3*k + 68 = 4*f, 2*f + 2*f + 2*k = 88. Let j(z) = 24*z + f*z - n*z. Let l(c) = 5*c**2. What is j(l(d))?
-5*d**2
Let x(t) = 2*t**2. Let h(a) be the first derivative of 423 + 299*a**3 - 161 - 280*a**3. Calculate x(h(j)).
6498*j**4
Let l(h) be the first derivative of 0*h + 1/2*h**2 + 10. Let s(j) = -j. Give l(s(b)).
-b
Let m(z) = z - 15. Let a(d) = 21*d - 350. Let y(o) = 3*a(o) - 70*m(o). Let f(q) = 26*q. Give y(f(r)).
-182*r
Let p(a) = 27*a. Suppose 15*i - 11*i = -4*c + 388, 0 = -c - 5*i + 117. Let b(m) = -2*m + c - 92 - 2*m. Give b(p(f)).
-108*f
Let s(k) = 221*k - 38 - 58*k - 58*k - 112*k. Let v(m) = -6*m**2. Calculate v(s(x)).
-294*x**2 - 3192*x - 8664
Let f(s) = 457*s. Let q(z) = 53011*z**2. Calculate q(f(a)).
11071294339*a**2
Let r(c) = 2*c**2. Let u(w) be the second derivative of 89*w**4/24 - 3*w**2 - 19*w. Let i(o) be the first derivative of u(o). Calculate i(r(z)).
178*z**2
Let h(w) = w + 1. Suppose 4*o - 3*r + 7 = -3, -5 = o - 2*r. Let a(u) = 1. Let i(l) = o*a(l) + h(l). Let x(g) = -45*g. Give i(x(t)).
-45*t
Let s = 15 + 0. Suppose 0 = 2*z, -2*w = 2*z + 3 - s. Let b(n) = n + w*n - 11*n + 2*n. Let o(g) = -74*g**2 - 2*g. Give o(b(d)).
-296*d**2 + 4*d
Let r(g) = 3*g - 7. Let x(f) = -2*f + 5. Suppose -8*c - 13 + 45 = 0. Suppose -c*m = -m - 15. Let q(h) = m*r(h) + 7*x(h). Let j(o) = 34*o. Calculate q(j(n)).
34*n
Let b(z) = -2259*z. Let q(k) = 10439*k. Calculate b(q(s)).
-23581701*s
Let b(o) = 2780685*o**2. Let g(t) = -5*t**2. Determine g(b(s)).
-38661045346125*s**4
Let x(t) = -10*t. Let r(u) = -141*u + 283. Let j(p) = 388*p - 850. Let q(o) = 4*j(o) + 11*r(o). Calculate q(x(c)).
-10*c - 287
Let w(m) = -m**2. Let i = -28 + 30. Let k(x) = -x - 14. Let t(y) be the second derivative of -y**2 - 38*y. Let v(b) = i*k(b) - 14*t(b). Calculate w(v(s)).
-4*s**2
Let p(u) = -154*u. Let y(q) = -167411*q**2. Determine p(y(a)).
25781294*a**2
Let d(c) = 56109020*c. Let f(o) = 12*o. Determine f(d(x)).
673308240*x
Let f(x) = 161*x. Let p be ((-6)/4)/((-9)/18). Let i(g) = 22*g. Let s(m) = 8*m. Let v(l) = p*i(l) - 8*s(l). Give v(f(d)).
322*d
Let p(i) = 394*i + 5. Let v(n) = 1110*n + 14. Let o(c) = -14*p(c) + 5*v(c). Let b(z) = -3*z**2 - z**2 + 3*z**2. Determine b(o(q)).
-1156*q**2
Let x(w) = 77*w**2 + 12 - 12 - 14*w**2 + 43*w**2. Let i(a) = a + 2 - 2. What is i(x(u))?
106*u**2
Let u(i) = -20*i**2 - 24*i** | {
"pile_set_name": "DM Mathematics"
} |
0.4. Let u = z + 0.5. Which is the closest to -1? (a) -4 (b) u (c) -0.5
c
Let r(j) = 2*j + 2. Let h be r(-4). Let p be (0 - 5/(-2))*-2. Let x = h - p. Which is the nearest to x? (a) -3/4 (b) 5 (c) 2/11
a
Let k be (-5)/2 + 60/(-24). Let v = 0.1 - 0.1. What is the closest to v in -0.1, k, 1/3?
-0.1
Let f = -0.3 - -0.2. Let n = 0.11 + -4.11. Let m = -0.8 - -3.8. Which is the closest to f? (a) 1/8 (b) m (c) n
a
Let h = -7 + 3. Let f = 2 + h. Let m = 0.02 + -0.32. Which is the closest to 0.1? (a) -0.2 (b) m (c) f
a
Let x = 90 + -87. Let z = -0.03 - 0.37. Suppose y + 9 = -5*v, v = 6*v + 5*y + 25. What is the nearest to -0.1 in x, v, z?
z
Let t(o) = -o**3 - 4*o**2 - 19 + o**2 + 19. Let n be t(-2). Which is the closest to 0? (a) 1 (b) n (c) 2/11
c
Let f be (-1)/(-7)*42/(-108)*-6. What is the nearest to -3 in f, -0.05, 2?
-0.05
Let h = 0.26 + 3.74. Which is the closest to -0.1? (a) 3 (b) h (c) -0.06
c
Let d = -81 + 245/3. Which is the closest to -1? (a) -4 (b) -4/7 (c) d
b
Let g = 1.2 + -0.2. Let s = -0.6 - -0.1. Let v be 5/(-2)*(-1)/5. Which is the closest to g? (a) 0.3 (b) s (c) v
c
Suppose 0*j - 20 = -10*j. Let h be (-10)/14 - 4/14. What is the closest to -0.1 in h, -0.2, j?
-0.2
Suppose -u = b + 3*b - 8, -4*u = 16. What is the nearest to -1 in -4, b, -1/6?
-1/6
Let n = -80.8 + 81. Let x = -92003/5 - -18344. Let k = x - -56. Which is the nearest to 1? (a) n (b) 1/3 (c) k
b
Let f = 22.5 + -23. Which is the nearest to -2/5? (a) f (b) 2 (c) -5
a
Let v be (-5)/(-25) + 151/(-5). Let q = v + 26. Which is the closest to -5/6? (a) q (b) -3 (c) -5/3
c
Let y(r) = -r**3 - 8*r**2 - 3*r - 20. Let u be y(-8). Let s = -1.98 + -0.02. Let k = -701/1185 - 2/237. What is the nearest to 2 in k, u, s?
u
Let t = 17/6 - 7/2. Which is the nearest to -0.1? (a) 1 (b) 0 (c) t
b
Suppose 0 = -2*t + 3*g + 5, 2*g + 1 = -5*t - 15. Let j be 8/(-6) + (-3)/t. Which is the nearest to -0.1? (a) j (b) -1/4 (c) 0.3
b
Let h = -3 + 3. Let w = 1 - 6. Let z = -9 - w. What is the closest to -0.1 in h, 1, z?
h
Let t = 12 + -4. Let d = t + -7. Let n = -2 - -1. Which is the nearest to d? (a) n (b) -1/4 (c) 0.4
c
Suppose -6*g + g - 100 = 0. Let s be (4/g)/((-3)/5). Which is the closest to s? (a) -3 (b) 0 (c) -5/3
b
Let j = 3 + -2. Let s = -0.398 + -0.022. Let f = s - -0.02. What is the nearest to j in -0.2, 3, f?
-0.2
Let w = -6 - -5.98. Let g = w - -2.02. Which is the nearest to 1? (a) g (b) -4/5 (c) 0.3
c
Let p = -154 + 625/4. Let z = p + -7/4. Let l = 10 - 9. Which is the closest to l? (a) -1/7 (b) z (c) -0.3
b
Let b = 55 - 39. Suppose b*f = 21*f. What is the nearest to f in -1/7, -0.08, -4?
-0.08
Let d = 2013/124 - -51477/6820. Let k = 118/5 - d. What is the nearest to -2 in 1/3, 0.5, k?
k
Let t = -5.72 - -4.8. Let m = t - 0.08. Let i be 12/5 + (-2)/5. What is the nearest to -0.1 in 2/3, i, m?
2/3
Let o = -0.09 + -3.91. Let l = -1.24 + -0.16. Let f = l - 1.6. What is the nearest to -2 in o, f, -2?
-2
Suppose 4*v = 4*x, 4*x = -0*v - v - 10. Let z(c) = -c**2 - 22*c - 21. Let w be z(-21). Let b be 33/(-9) + (-2)/(-3). What is the nearest to w in b, -1, v?
-1
Let k = 21 - 21. What is the nearest to k in 3, 4, -6?
3
Let s = -14 + 22. Let z = 8.5 - s. What is the closest to 0 in 1, z, 3?
z
Let r = 12 + -12.3. Let l(z) = 2*z**3 - 1. Let c be l(1). What is the closest to c in r, 2/7, -5?
2/7
Suppose 3*k = -4*h + 2 - 7, 3*h - 9 = 2*k. Let l be 1 - h - (-11 + 2). Suppose 6*q - 3*q = l. Which is the closest to -1/2? (a) 1 (b) 1/12 (c) q
b
Suppose 3*v = -1 - 2. Let d = 11/27 + -2/27. What is the closest to v in d, -0.3, 2/11?
-0.3
Let l = -2 - 2. Let q = -37 - -40.6. Let r = q + l. What is the closest to -1/4 in -5, -2/7, r?
-2/7
Let v(i) = -i**2 - 12*i - 4. Let m be v(-12). Let y be -2*(-2)/m*-1. Which is the closest to 0? (a) y (b) 2 (c) -3
a
Let u = 1 - -2. Let v be (-2)/12 - 520/(-1680). Which is the closest to -5/3? (a) -5/3 (b) v (c) u
a
Let j be -1*(-1)/(-1)*-1. Suppose -4*f - 257 = -33. Let l be (-30)/f + 4/(-14). Which is the nearest to -1/3? (a) j (b) l (c) 0.5
b
Let u = -5.31 + 0.31. What is the closest to -1 in u, 4/7, 0.4?
0.4
Let q be 2*(-1 - (-15)/(-10)). What is the closest to 0.2 in -2/7, q, 2?
-2/7
Let q(t) = -t**2 - 8*t - 2. Let i be q(-7). Let z = -8 - -25/3. Which is the closest to 1/6? (a) z (b) -0.4 (c) i
a
Suppose -4*p = 0, -l = 2*l - 2*p - 6. Let f = -8 + 7.5. Which is the closest to -2/7? (a) 3 (b) f (c) l
b
Let l = 12 - 11.5. What is the nearest to 0 in -0.3, l, -2?
-0.3
Let m = 4 - 3. Let o = 5 - 3. Let t = -0.017 - 0.383. Which is the nearest to m? (a) -2/7 (b) t (c) o
c
Let j = -23 - -21. Let u = -11/4 - -5/2. What is the nearest to 0 in -5/2, u, j?
u
Let i = 40.7 - 39. Let j = i + -1.7. Let p = -1 + 1. What is the closest to j in -0.1, -4, p?
p
Let m = 10 - 9.82. What is the closest to m in 2/7, -3/5, -5/4?
2/7
Let f = 1.2 - 0.2. Let g(u) = u**2 - u. Let s be g(0). Let m be (-4)/(18/2 + -2). What is the nearest to 0.1 in f, m, s?
s
Let n = 1 - 2. Suppose -5*i + 1 = 2*t + 27, -4*i - 19 = t. Which is the closest to n? (a) 3 (b) -2/5 (c) i
b
Let h be 24/15 + 0 + -1. Let m = 9.9 + -10. Which is the closest to m? (a) h (b) -2/11 (c) 1/4
b
Suppose 0 = h - 2*h + 5. Suppose 13 = -3*g - h*t - 48, -4*g = 3*t + 63. Let x = g + 7. Which is the nearest to -0.1? (a) 1 (b) -4 (c) x
a
Let n be -2 + (-2 - (-22)/5). Let f = 0.08 - 0.48. Which is the closest to n? (a) -5 (b) f (c) 5
b
Let u = 0.2 + -0.1. Let v be 2 + -2*10/11. What is the nearest to u in 6/7, 3, v?
v
Let p = 2.3 + 0.7. Which is the nearest to -1? (a) 0.4 (b) 0.5 (c) p
a
Suppose 0 = 5*t + 105 + 60. Let v = t + 100/3. Which is the nearest to 0.1? (a) 1/2 (b) 6 (c) v
c
Let r = -9.3 - -8.3. Which is the nearest to r? (a) 1 (b) -2 (c) -5
b
Let c(y) = -y - 2. Let h be c(-2). Let s = -5 - -9. Let d = -3 + s. What is the nearest to -2/3 in 4, h, d?
h
Let x = 5.19 + -0.19. Let j = -24 + 73/3. What is the closest to j in -3, x, -4?
-3
Let n = 18.03 + 3.67. Let k = -22 + n. Which is the nearest to k? (a) 0 (b) -4 (c) 3
a
Let k = 0.04 + 0.36. Let r = 0.96 + 0.04. What is the nearest to r in 3, 5, k?
k
Let n = 9 - 6. Let x(r) = -r**2 + 3*r + 1. Let m be x(n). Suppose -w = m + 2. Which is the nearest to 2/11? (a) w (b) -0.5 (c) -3/5
b
Let p = -7 - -7.1. Let h = 0.3 - p. Let l = -0.4 + h. Which is the nearest to l? (a) 0.3 (b) -2/21 (c) -2/13
c
Let l = -12.8 - -13. Which is the nearest to -0.2? (a) -0.3 (b) l (c) 1/7
a
Let z = -9 + 6. Let m = 24.5 - 25. Which is the nearest to 0.3? (a) -1/3 (b) m (c) z
a
Let n(o) = -2*o**3 - 3*o**2 - o. Let s be n(-2). Let g be (-3 + s)/((-21)/2). Which is the closest to g? (a) 0.5 (b) 0 (c) 5/6
b
Let k = -0.7 - -1. Let v be (-3*(-4)/(-20))/3. What is the closest to -1 in k, v, -2/7?
-2/7
Let s = -301/632 + 8/79. Which is the nearest to -2/5? (a) s (b) 0.3 (c) -1
a
Suppose 0 = -q - 5*c - 3 - 8, -4*q = -3*c - 2. What is the closest to q in 2/23, 0.2, 4?
2/23
Let k(a) = -a + 4. Let m be k(8). Let p be 1*(-2 - 6/m). What is the nearest to 0 in -2/5, p, -4?
-2/5
Let b be (-42)/(-30)*4/14. Let x = -0.6 + 0.1. Let a = 4 + -3.5. What is the nearest to 1/3 in b, x, a?
b
Let j be (-16)/(-18) - 4/6. Let x be (26/87)/((-70)/(-68)). Let k = x - 2/435. Which is the nearest to j? (a) 1 (b) 0.3 (c) k
c
Let r = 31 - 18. Let k = r - 16. What is the closest to -0.1 in 1, k, -0.3?
-0.3
Suppose 4 - 2 = u. Suppose 0 = f - 3*n - 14, 3*f - 14 = 3*n - 2. Which is the closest to f? (a) -0.2 (b) u (c) 4
a
Let i = -5 - -6. Let h be ((-3)/(-6)*-4)/i. What is the nearest to -3 in 1/4, 0.3, h?
h
Let f = 4.5 + -1.5. Let t = -215/4 - -54. Which is the closest to t? (a) -2/13 (b) -1 (c) f
a
Suppose -5*m + 22 = -4*x, -m + x + 1 + 4 = 0. Which is the nearest to 1? (a) -1/5 (b) 3 (c) m
c
Let s = -0.3 + 0.2. Let h = 1/3 + 5/12. Let q = -7.7 + 8. What is the nearest to s in h, -5/4, q?
q
Let i = -2/131 + -123/524. Let j = -3.7 - -4. Which is the closest to -0.1? (a) 1/2 (b) i (c) j
b
Let y = 0.016 - 0.016. Which is the nearest to 0? (a) -2 (b) y (c) 1/2
b
Let k = 39 + -34. Which is the closest to -5/4? (a) 0.3 (b) k (c) -5
a
Let i be (0 - (-39541)/5) + 0. Let g = i + -7971. Let b = -63 - g. What is the clo | {
"pile_set_name": "DM Mathematics"
} |
7 prime?
False
Is 2854165121 composite?
True
Is 2574531385 a prime number?
False
Is 2733024962 prime?
False
Is 8239207541 prime?
True
Is 3852913553 prime?
False
Is 60167027777 a prime number?
True
Is 13428602669 a prime number?
True
Is 2128812359 a prime number?
False
Is 6513316247 composite?
False
Is 158192527 composite?
False
Is 124590568549 composite?
False
Is 1908204091 a prime number?
False
Is 104934020507 prime?
True
Is 5215673977 composite?
False
Is 10547383313 a prime number?
False
Is 13085049557 prime?
True
Is 7065392357 a prime number?
True
Is 7780630679 a prime number?
True
Is 508678666 composite?
True
Is 32556703831 prime?
False
Is 11526821 a prime number?
False
Is 1235757071 prime?
True
Is 12435844507 a composite number?
False
Is 8257969789 composite?
False
Is 2313456527 prime?
False
Is 11396928065 a composite number?
True
Is 287163307 a composite number?
True
Is 913407421 a composite number?
True
Is 6250566391 a composite number?
False
Is 2304769447 a prime number?
False
Is 30489241 a composite number?
True
Is 1532023477 prime?
True
Is 11469477823 a prime number?
False
Is 1560512969 composite?
True
Is 481948543 prime?
False
Is 34231413937 prime?
False
Is 3046119337 composite?
False
Is 6412521163 a composite number?
True
Is 36130234483 composite?
True
Is 2083532603 a composite number?
True
Is 1831144901 a prime number?
False
Is 5136934087 a prime number?
True
Is 53191196111 prime?
True
Is 43350471701 a composite number?
False
Is 380884051 composite?
True
Is 3936395663 composite?
True
Is 13322412041 prime?
True
Is 2256727927 a composite number?
False
Is 1363541 a prime number?
True
Is 3290438197 a prime number?
True
Is 5469523637 prime?
True
Is 1015881329 a composite number?
False
Is 6453025697 a prime number?
True
Is 11979314201 a composite number?
False
Is 2426674183 composite?
True
Is 1080163847 a prime number?
False
Is 4270586491 composite?
False
Is 369789659 a prime number?
True
Is 35094517379 composite?
True
Is 8902146551 composite?
True
Is 20415956479 composite?
False
Is 4967958559 a prime number?
False
Is 21499584131 prime?
True
Is 35802457 prime?
False
Is 338805491 prime?
True
Is 82342864859 a composite number?
False
Is 7971389813 prime?
False
Is 3630099089 prime?
False
Is 2006497369 a composite number?
True
Is 9275174707 a composite number?
False
Is 425029718 a composite number?
True
Is 4469311147 a prime number?
False
Is 660730801 a prime number?
False
Is 67356337241 prime?
True
Is 2249377601 composite?
True
Is 21141993841 a prime number?
False
Is 2755880239 prime?
False
Is 12203673719 prime?
False
Is 201384101 a prime number?
True
Is 7555844953 prime?
False
Is 1416260611 prime?
False
Is 3021535163 prime?
True
Is 34433868935 a prime number?
False
Is 1457175919 a prime number?
False
Is 52437276007 composite?
True
Is 155975251 composite?
True
Is 2790009509 a composite number?
True
Is 1932836161 a prime number?
False
Is 14564506477 a prime number?
False
Is 57482471 composite?
True
Is 41016202681 a prime number?
False
Is 715993757 composite?
False
Is 1746850271 a composite number?
False
Is 2844791449 a prime number?
False
Is 149798119 a composite number?
True
Is 72296536373 composite?
False
Is 8538645757 a composite number?
False
Is 740893493 a prime number?
False
Is 3360671429 prime?
False
Is 11276673349 a composite number?
False
Is 639591619 a prime number?
True
Is 9635335657 a composite number?
False
Is 3500099401 a prime number?
True
Is 51868066459 a composite number?
True
Is 6100168171 composite?
False
Is 71058235439 a prime number?
False
Is 28524809 composite?
True
Is 17461999169 a composite number?
False
Is 790116917 a composite number?
True
Is 4730549246 a prime number?
False
Is 1325945301 prime?
False
Is 12401085841 composite?
True
Is 7402428703 a composite number?
False
Is 3383401273 composite?
True
Is 113357229 composite?
True
Is 209806837 prime?
False
Is 24113857 a prime number?
True
Is 47692549 prime?
False
Is 130818773 prime?
False
Is 69701362585 a prime number?
False
Is 583829023 a composite number?
False
Is 7397871751 composite?
False
Is 25730195893 a prime number?
True
Is 82798897 a composite number?
False
Is 966899929 a composite number?
False
Is 1796294909 a prime number?
True
Is 401489107 prime?
True
Is 1072644379 composite?
False
Is 1469051629 composite?
False
Is 49075994887 composite?
False
Is 2670690499 prime?
True
Is 57110549 composite?
False
Is 2202183851 composite?
True
Is 314725891 a prime number?
True
Is 1961570399 composite?
False
Is 266393593 a prime number?
True
Is 559963889 a prime number?
True
Is 192864053 a prime number?
True
Is 82060762697 prime?
False
Is 659464367 a composite number?
True
Is 127682846957 a prime number?
False
Is 1055996009 composite?
True
Is 228868541 a prime number?
False
Is 3625872721 a prime number?
True
Is 3468385399 a prime number?
False
Is 326439671 a composite number?
False
Is 133765730933 composite?
False
Is 732563434 a prime number?
False
Is 10495022402 a prime number?
False
Is 17308975181 prime?
True
Is 1531142959 a prime number?
False
Is 172444711 prime?
False
Is 49693959661 a composite number?
False
Is 8900333863 a prime number?
False
Is 4555659379 composite?
False
Is 94219247 a composite number?
True
Is 2029780717 a composite number?
True
Is 2347409183 prime?
False
Is 12631892501 a prime number?
True
Is 7537579703 a prime number?
True
Is 5408280587 prime?
False
Is 524521247 a prime number?
False
Is 831185953 prime?
False
Is 30204576505 a prime number?
False
Is 3023448269 a composite number?
False
Is 285511523 prime?
False
Is 9030121753 a composite number?
False
Is 637946587 a prime number?
True
Is 8827795901 a composite number?
False
Is 26733910639 prime?
True
Is 1208066351 composite?
True
Is 120483851 a prime number?
False
Is 7202082841 a prime number?
True
Is 559679633 a composite number?
True
Is 827445569 prime?
True
Is 61887311 prime?
False
Is 1213761419 composite?
True
Is 1183503277 a prime number?
False
Is 32811176051 prime?
True
Is 77805439 composite?
True
Is 162815699 a composite number?
False
Is 33972052007 prime?
True
Is 82111550305 a prime number?
False
Is 87241097143 a composite number?
False
Is 137563237327 a prime number?
False
Is 173500674599 composite?
True
Is 833494771 prime?
False
Is 91688401933 prime?
True
Is 520972027 prime?
False
Is 28412507777 a prime number?
False
Is 274478977 composite?
False
Is 4775467891 a prime number?
True
Is 23076893603 composite?
True
Is 48621790586 a composite number?
True
Is 785727409 a prime number?
False
Is 2272512733 composite?
False
Is 41764988303 a prime number?
False
Is 4090861699 prime?
True
Is 34067961887 a prime number?
True
Is 10781497339 prime?
True
Is 6573557693 a composite number?
True
Is 664313393 a composite number?
True
Is 1337991819 a composite number?
True
Is 69855201389 a composite number?
False
Is 4226405843 a composite number?
True
Is 338336237 composite?
True
Is 18085503299 a composite number?
False
Is 1004256541 a prime number?
False
Is 1643499989 prime?
True
Is 3974066683 prime?
True
Is 9706386401 prime?
False
Is 1423626301 a composite number?
False
Is 2041294889 prime?
False
Is 3255692621 a composite number?
True
Is 7274936887 a composite number?
True
Is 131689463 a composite number?
True
Is 793007673 a prime number?
False
Is 372200597 a prime number?
True
Is 1248391465 prime?
False
Is 96839243951 a composite number?
False
Is 3087998961 composite?
True
Is 1637012389 prime?
False
Is 1860617063 a prime number?
False
Is 27735115213 prime?
False
Is 5848284023 prime?
True
Is 11579842003 composite?
True
Is 3265321251 a prime number?
False
Is 14606926517 prime?
False
Is 806181385 a prime number?
False
Is 989700178 composite?
True
Is 13509029015 prime?
False
Is 49186259167 a prime number?
False
Is 265106363 composite?
True
Is 2216782697 prime?
False
Is 52994711887 a composite number?
True
Is 36252107763 a composite number?
True
Is 503906636377 a composite number?
False
Is 11671597787 prime?
True
Is 6990690073 prime?
False
Is 95375537 a composite number?
True
Is 556265383 prime?
False
Is 4323137671 prime?
False
Is 408161659 composite?
False
Is 342043627 a prime number?
True
Is 442328693 composite?
False
Is 1112912817 composite?
True
Is 8318963777 prime?
True
Is 26364012937 a composite number | {
"pile_set_name": "DM Mathematics"
} |
/u**(-2/7))))*u))/(u**(1/2)/(u*u**(2/19)*u))**13 assuming u is positive.
u**(14563/798)
Simplify (((((q**4/q)/q)/q**(2/3))/(q**0)**(2/13))**29)**(-17) assuming q is positive.
q**(-1972/3)
Simplify (((v/(v/(v*v**(-5)/v)))/v)/(v**(-1/3)*v))**(-4/9)/((v*v**(-1))**(26/3)*v**(-2)*v**(-2/5)/v) assuming v is positive.
v**(859/135)
Simplify ((w*w**(-3))**7)**(12/5)*(w*w**(-12)*(((w*w**(-9))/w)/w)/w)**(-6) assuming w is positive.
w**(492/5)
Simplify ((b*b*b/(b*b**(-37))*b*b*b*b*b*b)/b**(-4/13))/(b/b**(1/6)*b**(3/2)) assuming b is positive.
b**(1676/39)
Simplify ((z**(1/3))**(6/7)/(z**1)**(2/63))/((z**(-2/3))**(-47)*(z**9/z)/(z*(z*z*z/(z**(-8)/z)*z)/z)) assuming z is positive.
z**(-1643/63)
Simplify p/p**(-2/7)*p**0*(p*p*p/p**2)/(p/p**2)*((p**2)**(-15))**16 assuming p is positive.
p**(-3337/7)
Simplify ((o**(-4)/o)/o**(-1/5)*(o*o**(3/5))/o*o**(1/4))/((o**(-1/3)*o)/(o/o**6)*o**(-1/4)*o/o**(-3/5)) assuming o is positive.
o**(-329/30)
Simplify ((k**7/(k*k**8))/((k**27/k)/((k*(k*k*k/((k*k**(1/3))/k))/k)/k)))**(-1/3) assuming k is positive.
k**(79/9)
Simplify ((s*s**8)/(s*s*s**(1/7)*s)*s**7*s/((s/(s**(1/9)/s))/s))/((s**(2/9))**(-2))**(-21) assuming s is positive.
s**(229/63)
Simplify (t/t**(2/9)*t)**(2/123)/(t**(2/5))**43*(t/(t/t**(-3))*((t**(1/4)*t)/t)/t)/(t**(1/4))**4 assuming t is positive.
t**(-485333/22140)
Simplify u*u*u**(-2)*u**(-5)*(u**(-4)*u)/(u*u**(-2/5)*u*u)*((u*u/((u*u**(-2/5))/u))/u)/(u**(2/11)*u)*(u*u/u**1)**(7/6) assuming u is positive.
u**(-3041/330)
Simplify ((i*i**(-6)/i*i*i)/i*i**(1/8)/i)/(i**(-3/8)/i**4)*((i**(1/2)/i)**(-29))**(1/28) assuming i is positive.
i**(-55/56)
Simplify (w**(1/2)/(w/w**(-1)*w)*(w**1)**(3/19))/((w**(-1)*w)**20*w/(w/(w/((w*w*w**(3/2))/w)))*w**(-6)) assuming w is positive.
w**(98/19)
Simplify ((w*(w**(-1)/w)/w*w)/(w/((w/w**(1/4))/w)))**(-46)*(w**1/w)/(w/(w/((w**(-5)*w*w)/w)))*w**(-6)/w*w**(2/23) assuming w is positive.
w**(4627/46)
Simplify (l**(-37)*l*l**(-2/37)*l/(l/(l**(3/11)*l))*l*l**(-12)*l)**(3/11) assuming l is positive.
l**(-54678/4477)
Simplify ((v*v*v/((v*v/(v*v**(2/7)))/v)*v*v)**(-10/3)/(v**(-2/5))**36)**(1/10) assuming v is positive.
v**(-169/525)
Simplify ((p/p**(-2/3)*p**(-2)*((p/p**(-1))/p)/p**(-5))**(2/17))**(-13) assuming p is positive.
p**(-26/3)
Simplify (((q*q**(2/7))/q)/(q**(-1)/q)*q/((q*q*q**(-1/4)*q*q)/q)*q*(q/q**(-2))/q)/(((q*q*q**(2/7))/q*q**1*q*q*q*q)/(q*q**(-5)*q**4)) assuming q is positive.
q**(-11/4)
Simplify (q*q*q*((q**0/q)/q*q)/q)/q**(-1/2)*q**(2/7)*q**(1/2)*(q**(-3)/q*(q**(2/13)/q)/q)/(q**(-3/4)*q**(-3/2)) assuming q is positive.
q**(-477/364)
Simplify ((x**(-2)/x*x/(x*x*x**(-10)*x*x)*x**(1/12)*x*x**(1/3))**(3/4))**(1/4) assuming x is positive.
x**(65/64)
Simplify ((j/(j*j**(-3)))/(j/j**(-3/10)))**(-17)/((j**(-2/7))**11*(j*j**1)/(j*j**(-2)/j)) assuming j is positive.
j**(-2083/70)
Simplify ((h**2*h)**19)**(-1/7)*(h**(2/23)/h**4)**(-8) assuming h is positive.
h**(3729/161)
Simplify (((k*k**(-2/13)*k)/k)**(-14)/((k/((k*k*k**(4/5))/k))/(k/(k*k*k**(-1/4))*k)))**(-6/31) assuming k is positive.
k**(8421/4030)
Simplify b**(2/13)*b*b**(-1/6)*b*b**5/b*b*b**(-1)*((b/(b*b**(2/3)/b)*b)**(1/17))**34 assuming b is positive.
b**(225/26)
Simplify (z**(2/7)*(z**5/z)/z*(z**0)**(-3/29))/(z*z**(-6)*(z**(-1/3)/z)/z*(z/(z**(1/5)/z))/(z/z**(-4/5))) assuming z is positive.
z**(223/21)
Simplify ((((r*r/r**(15/4))/(r/r**30))**(-4))**(-15))**50 assuming r is positive.
r**81750
Simplify ((t/(t*t*t**(6/5)))/(t/(t**(-1/4)*t)))**(4/9)*(t**(5/2)*(t*t**(5/4)/t)/t)**(-1/25) assuming t is positive.
t**(-1079/900)
Simplify (o**(-1/4)*o**(-13))**(-8)*(o**2)**39*(o**2/o)**(5/9) assuming o is positive.
o**(1661/9)
Simplify n**(-4/5)/n**(3/7)*n**41/(n/n**(-21)) assuming n is positive.
n**(622/35)
Simplify ((q*q**1)**(-1/5))**(11/5)*(q*q**(1/4))**9*(q/q**(3/4)*q)/q**(1/6) assuming q is positive.
q**(859/75)
Simplify (((x/(x*(((x**(-1/2)*x)/x)/x)/x))/x)**(-16)*(x/(x**(-5)/x))/(x**3*x))/(x**1*x*x/(x/x**4)*x*x)**26 assuming x is positive.
x**(-229)
Simplify (v**(-2)*v/v**(-6))/((v*(v/(v**(1/3)/v))/v)/((v**(3/5)*v)/v))*((v**1/v)/(v/v**(4/5)))/(v*v**(-4)*v**(-3)*v) assuming v is positive.
v**(131/15)
Simplify (((n*n*n**2*n*n)/n)**(-5/7)/(n**(-2))**(-3/7))/((n*n/(n*n*n*n**2*n))**(-14))**(-30) assuming n is positive.
n**(11729/7)
Simplify (((n*n**(-5/17)*n)**47)**(-1/2))**(-14) assuming n is positive.
n**(9541/17)
Simplify ((h/(h*h**2))**(-8/9)*h**(1/5)/h**7)/((h**1)**(-11))**32 assuming h is positive.
h**(15614/45)
Simplify (f**(2/9)/f**4*(f**0/f)**(-24))/((f**(-1))**(5/6)/(f**(-4)*(f/((f*f**(-1/5))/f))/f)) assuming f is positive.
f**(1553/90)
Simplify ((m*m**(-22))**49*(m/m**(2/31))**(-17))**(-1/18) assuming m is positive.
m**(16196/279)
Simplify ((q/(q*q/q**13)*q**19)/(q**(-3)/q*q)**2)**(-1/10) assuming q is positive.
q**(-37/10)
Simplify (m**(-1/9)*m**(-2/7)*m**4/m**(-4/7))/(m*m**(-3/4)*m**0*m**(-1)/(m**(3/2)/m)) assuming m is positive.
m**(1367/252)
Simplify r**(-3/5)*r/r**(2/5)*r**(-5/4)/r**(-7)*(r**0)**(-35)*(r/(r**(-6/5)/r*r))/r**(-7) assuming r is positive.
r**(299/20)
Simplify ((h**(-2)*h*h*h*(h**7*h)/h*h*(h**(-1/4))**(3/35))**6)**(-6/19) assuming h is positive.
h**(-11313/665)
Simplify ((z**(2/5)*z)**(-4/17)/(z**(-3/7)/z**(-2/3)))/(((z*z/z**3)/z**4)/(z**(-2/3)*z**2)) assuming z is positive.
z**(10292/1785)
Simplify ((m/(m/m**(-1/8))*m)**(-4/9)/((m*(m**24/m)/m)/(m*m**(-17))))**(2/51) assuming m is positive.
m**(-709/459)
Simplify ((((g*g**(-13/6)*g)/g**(3/8))**(-32))**(-1/28))**(1/26) assuming g is positive.
g**(-1/42)
Simplify ((l/(((l/(l/(l*l*l*(l/l**(2/11))/l*l)))/l)/l))**(-1/48)/(l**(-4))**10)**3 assuming l is positive.
l**(21129/176)
Simplify (((((d*d/(d/((d**(-21)*d)/d)))/d)/d)/d*d)/d)**(-8)/((d/d**(6/5))/d*d*d**(-1/18)) assuming d is positive.
d**(16583/90)
Simplify ((g*(g/g**(2/5))/g)**44)**38*(g*g/g**(-1/2)*g)**(4/23)*g*((g**5*g)/g)/g*g*g**3*g assuming g is positive.
g**(116588/115)
Simplify ((l/(l*l/(l**(13/4)/l))*l)/(l/l**(-10/9))*((l/l**(-21))/l)/l**(5/3))**(-25/2) assuming l is positive.
l**(-17525/72)
Simplify ((c*c*c**(-2/13)*c)/c*c*c**0*c)**(-8)*(c*(c**(-1/3)/c)/c*c**(1/2))**(-23) assuming c is positive.
c**(-905/78)
Simplify (o**(-5)/o**(-1)*o**4/((o/(o*o*o/o**3)*o)/o))/((o/(((o**(-1)/o)/o)/o))**(-14))**(-2/5) assuming o is positive.
o**(-29)
Simplify (p**(-1/4)*p**(3/4))**(7/4)*(p/p**(3/10)*p/((p**5*p)/p))**(-1/39) assuming p is positive.
p**(499/520)
Simplify ((k**(-37)/k)**(1/58)/((k/(k*k*k**(-4/23)))/(k**(11/3)*k*k)))**(-1/48) assuming k is positive.
k**(-11681/96048)
Simplify (q**1/(q**(-7)/q))/(q**(-3/7)/((q**(-2/17)*q)/q*q*q))*(q**(2/3)/(((q/(q/q**1))/q)/q))**1 assuming q is positive.
q**(4633/357)
Simplify (((q**(-10)/q)/(q**2/q*q))/(q**(-3/5))**32)**(-9) assuming q is positive.
q**(-279/5)
Simplify ((s**1)**(-44)/((s**1*s)/(s*s**(-3)*s*s)))/((s/(s/s**1))**18*(s**(-5)/s)/s**(-1)) assuming s is positive.
s**(-59)
Simplify ((u/(u**(-1)/u*u)*u)**27)**(7/5)/(u**(1/5)/u**(-3))**40 assuming u is positive.
u**(-73/5)
Simplify ((s*s*(s**(-3)/s)/s*s)**(-9)/(s**(-3/2)*s**(-5)/s))**(-2/23) assuming s is positive.
s**(-51/23)
Simplify ((z**(1/2)*z*z)/(z/(z*z*z/((z/z**(-9))/z*z))))**(-18)/((z/(z/z**(-1/10)))/z**4)**(-2/3) assuming z is positive.
z**(1444/15)
Simplify ((t**(1/4)*t)**10)**(1/2)*((t**(3/5)/t)/(t/t**(-4/11)))/(t*t/(t**(-8)*t)*t*t**(-2/5)) assuming t is positive.
t**(-225/44)
Simplify (q**(-6)/q*q/q**0)**23*(q**(-6)/(q**(1/3)*q*q))**(2/15) assuming q is positive.
q**(-1252/9)
Simplify (g/(g*(g**(-2/57)*g*g*g)/g)*(g/g**(-40))/g)/(g/(g/((g**(37/2)*g)/g))*g**(-24)/g) assuming g is positive.
g**(5077/114)
Simplify b**(-1/9)*b*b**(3/4)*((b/(b/((b**(-1/4)*b)/b*b)))/b*b*b*b)**(-39/5)*(b/(b/(b**(2/7)*b)*b))/b*b*b*b/b**6*b*b**(-7)/(b*b**(-3/5)) assuming b is positive.
b**(-18853/630)
Simplify ((z**2/(z**(2/13)*z))/(z**(-8/3)*z/z**(2/5)))/((z*z**(-2)*z)**(-2/21)*z**5/z**(-4/7)) assuming z is positive.
z**(-3629/1365)
Simplify ((j/j**5*j)/j**(-1/6)*(j*j**(3/2))/j*j**(-7))/((j**5/j)**(-5/2))**(-3/16) assuming j is positive.
j**(-245/24)
Simplify ((((w*w**(-8))/(w*w/(w**(-10)/w)))/(w*w**(-2/9)*w)**(-1/4))**(-3/4))**(-38) assuming w is positive.
w**(-1672/3)
Simplify (((j/(j*j**4/j))/j)/j**(2/9))**(-18)/((j**0*j)**(21/2)*j*(j*((j*j**(1/5))/j)/j)/j*(j*j**(2/17))/j) assuming j is positive.
j**(11081/170)
Sim | {
"pile_set_name": "DM Mathematics"
} |
mallest value in -4, o, y?
o
Let x = -15163/15 + 1011. Which is the third smallest value? (a) -0.15 (b) 5 (c) x (d) 2
d
Let g be 1 + 3 - 32/(-150)*-21. Which is the second biggest value? (a) g (b) -5 (c) 0.2
a
Let k = -5.08 - -0.08. Let f = 4.6 - 3.6. Which is the second biggest value? (a) k (b) -3/8 (c) f
b
Let l = -27 + 25.7. Let z = -0.8 - l. Which is the smallest value? (a) z (b) -2 (c) -1
b
Let y = 896647/13 + -68896. Suppose 0 = 4*c + 62 - 370. Let z = y - c. What is the third biggest value in 3/4, z, -5?
-5
Suppose 0 = 4*w + 185 - 65. Let f be w/8 - 8/32. Let q be f/((3 + -2)*-2). What is the second smallest value in q, -0.5, -0.2?
-0.2
Let m = -2.1 + 0.1. Let j be (-5)/(-15) + (-789)/(-36). Let w = -22 + j. What is the smallest value in m, 3, w?
m
Let y = -1266 + 1286. Which is the second smallest value? (a) -0.2 (b) y (c) -2/3 (d) -0.4
d
Let q = 73 - 76. Which is the smallest value? (a) -2/13 (b) -0.1 (c) q (d) -1
c
Let k = -2.15 + -1.85. Which is the smallest value? (a) k (b) -0.4 (c) -0.05
a
Let u = -3.424 + 0.424. Which is the biggest value? (a) 30 (b) u (c) 0
a
Let x = -0.302 - 0.698. What is the second biggest value in -3, x, 1, -4?
x
Let i = -48.92 + 48. Let o = 17 - 16. Let f = o + i. What is the biggest value in -1/2, f, -4?
f
Let w = 0.61 + -1.61. Which is the biggest value? (a) 2 (b) 3/2 (c) -4 (d) w
a
Suppose 4*p = 3*p. Suppose -3*v - 9 = p, -2*v + 2 + 1 = -3*w. Let i be (5*2/5)/(-9). Which is the second smallest value? (a) w (b) i (c) 5
b
Let s = 152 + -1366/9. What is the smallest value in s, 0.131, -2?
-2
Let x be (-672)/68 + 10 + (-66)/272. What is the second biggest value in 5, x, -10/9?
x
Let y = -2.06 - -0.06. Let s = -2792/11 + 254. Which is the smallest value? (a) s (b) -1 (c) y
c
Let d = 129/889 + -2/889. Which is the smallest value? (a) d (b) -4 (c) 5
b
Let g = 87 - 86. What is the second biggest value in g, 2, -3/5?
g
Suppose -25 = -5*w + 5. Let v be (-1236)/16*w/9. Let d = 53 + v. Which is the third biggest value? (a) d (b) -5 (c) 1
b
Let l = -0.349 + 0.149. Which is the third smallest value? (a) 0.5 (b) l (c) -2/11
a
Let v = 146 - 147. What is the fourth biggest value in 5, -0.02, 0.1, v?
v
Let k be 15/(-8)*((-305)/(-25) + -12). Which is the third biggest value? (a) 4 (b) 70 (c) k
c
Let r be 2/4 + (-141)/6. Let t = -101 + 911/9. Which is the third smallest value? (a) 3/4 (b) r (c) t
a
Let u = 3.27 + -4.27. What is the smallest value in 1/5, -0.3, u?
u
Let j = -969 + 973. Let x = 5.5 + -0.5. What is the smallest value in x, 2/5, j, -4?
-4
Let x = 96.75 - 96.7. Let g = 17 + -14. Let p = -0.7 - -0.4. What is the second smallest value in g, x, p?
x
Let z(f) = -f**3 - 6*f**2 + 6*f - 9. Let q be z(-7). Let u = 9 - 19. Let y be q + u*2/(-8). What is the third biggest value in y, 0.7, 3?
y
Let r = 9 + -11. Let h = 285.87 + -289. Let o = h + 0.13. Which is the third smallest value? (a) o (b) r (c) -2/3
c
Suppose 4*o - 2*f - f - 4 = 0, -4*o - 4 = -5*f. Let s(p) = -2*p**2 + 3*p - 2. Let j be s(2). Which is the biggest value? (a) o (b) -5 (c) j
a
Let q = 2.7 - 0.7. Let c = 0.44 + 0.06. What is the biggest value in q, c, -5, 3/4?
q
Let k be (3/9)/(4/(-12)) + 5. Let z be ((4/3)/k)/((-63)/42). What is the second biggest value in z, 0, -10?
z
Let n be 4/22 + 0 + (-138)/33. Which is the smallest value? (a) 2/7 (b) -1/6 (c) n
c
Suppose -4*y + 0*y = 2*b - 4, -2*y + 18 = -3*b. Let r be 4/(-14) - (-45)/84. What is the second smallest value in -1/6, b, -2/5, r?
-2/5
Let v be ((-4)/5)/((-8)/20). Let u = -334/3 + 111. What is the third biggest value in -5, u, v?
-5
Let h = 4.6 - 5. Let w = -1419 - -14191/10. Which is the biggest value? (a) 5 (b) h (c) w (d) 0
a
Let r = 124 + -2851/23. What is the second smallest value in 1, -5/3, r?
r
Let y be (-18)/(-4) - (-90)/(-36). What is the second smallest value in 1/4, -0.25, -3/4, y?
-0.25
Suppose 25 = -4*k - 39. Let b = 218 - 214. What is the biggest value in b, 1, k?
b
Let t = 1802 - 1801.6. Which is the fourth biggest value? (a) t (b) 220 (c) -2/7 (d) -0.4
d
Let w = -64.63 + 65. Let y = 5.37 - w. What is the second smallest value in y, 0.3, 0.4?
0.4
Let n = 95/232 + -1/29. Let z(b) = b**2 + 14*b - 23. Let y be z(-16). Let x be y/6 + 2 - 3. What is the second biggest value in x, 1, n?
x
Let p(f) = -4*f + 57. Let i be p(7). Let m = i + -32. What is the second smallest value in 5, m, 0.01, 1/3?
0.01
Let g = -0.0219 + -0.2781. What is the biggest value in 3, g, -0.07, -1/3?
3
Let v = 14 + -9. Let m = 2.5 - 13.5. Let k = m - -19. What is the third smallest value in -0.4, k, v?
k
Let w = 76 + -75. What is the smallest value in w, 0.3, -6.4?
-6.4
Let x = -129 - -80.3. Let s = x - -49. Let j = -0.2 + 0. What is the smallest value in s, 0.2, j?
j
Let a = -27 + 39. Let h = 12.297 - 0.197. Let v = a - h. What is the second smallest value in 0, 0.5, v?
0
Let h = -237 - -240. What is the third biggest value in -4, h, 2?
-4
Let o = 5.8 - 30.8. Let v = -21 - o. Let i = -2 + 2. Which is the third biggest value? (a) v (b) i (c) 2
b
Let t = 306 + -2138/7. What is the second smallest value in 1, t, -0.3, -1?
-0.3
Let c = 3.6 - 4. Let n = -35.6 - -38.6. Let v = 8/3 + -19/6. What is the third biggest value in n, c, v?
v
Let k be (2/9)/(7/(-21)). Let o = 3/8 + 1/8. Which is the third biggest value? (a) o (b) 2 (c) k
c
Let d = -148 + 149.5. Let r = 1.64 - d. What is the biggest value in 5, -2/11, r, -0.4?
5
Let j = -3.8 + -0.2. Let z = 124 + -182. Let y = z + 51. What is the third smallest value in -0.3, j, y?
-0.3
Let w be (-6)/(-10)*(-5)/4. Suppose -4*k - 2 = -6*z, -7 = 3*z - k - 12. Which is the second smallest value? (a) -3 (b) z (c) w
c
Let k(s) = -s**3 + 12*s**2 - 17*s + 6. Let w be k(11). Let m = 301/5 + w. Let q = -1 + -1. Which is the biggest value? (a) -1/5 (b) m (c) q
b
Suppose 3*b = u + 10, u - 3*u = -b + 15. Let r(f) = -f**2 - 9*f - 9. Let g be r(u). Let m = 0.06 + -2.06. What is the third smallest value in m, g, -5?
g
Let r be 780/(-55) + 11 - (-4 + 1). What is the biggest value in r, 2, -3?
2
Let w = -10 - -15. Let s = -16 + w. Let n = 11 + s. What is the smallest value in n, 1, -2?
-2
Let s = -926 - -922. What is the third biggest value in 9, -2/5, s?
s
Let d = -0.179 + -41.321. Let n = -42 - d. What is the second biggest value in n, -4, 4/5?
n
Let p = -131 - -4583/35. Let t = -459/847 - -31/121. What is the second biggest value in t, p, -2?
t
Let i = -11 - -11.4. Let t be 6 + -2 + (14 - 2). Let y be -3 - 2*(-27)/t. Which is the second smallest value? (a) i (b) -3 (c) y
c
Let x = 97.2 + -97. What is the third smallest value in 0.8, x, -3?
0.8
Let f = 40 - 44.7. Let y = 4.9 + f. Let j = 2.4 - 2. What is the biggest value in y, 5, j?
5
Let m = -0.1 - -0.4. Let q = 260.48 + -260.88. Which is the biggest value? (a) 3/5 (b) 1.2 (c) m (d) q
b
Suppose 6*d - 5 = d. Let l be 420/(-135) - (1/d - 4). Let a be (-1)/(-19)*(-4 - -2). What is the third smallest value in a, -4, l?
a
Suppose -2*i = -6*i + 1068. Let p = i + -1872/7. Which is the second biggest value? (a) p (b) 8 (c) -3
a
Let x = 782/7 - 112. Let d be (-8)/(-12) + (-8)/15. Which is the third smallest value? (a) 3 (b) x (c) d
a
Let i = -10 - 19. Let j = -46 - i. Let c = -17 - j. What is the smallest value in 2, -0.08, c?
-0.08
Let o = 611 - 610. What is the fourth biggest value in -16/7, -0.3, o, -0.1?
-16/7
Let j = -87 - -92. What is the second smallest value in j, -3/4, -1/4, 0.7?
-1/4
Let h = -0.2 - 0. Let j be -10*(-3)/(45/6). Suppose 1 = 9*x - 10*x. Which is the third biggest value? (a) j (b) x (c) h
b
Let n = 0 + -9. Let m = 0.6 - -8.7. Let v = n + m. What is the biggest value in 0.4, v, -4/5?
0.4
Let b = -19/4 - -125/28. Let r = 293 - 293. What is the third smallest value in r, b, -6/13?
r
Let k = 553.6 - 554. Which is the fourth biggest value? (a) k (b) -3 (c) 1 (d) 1/26
b
Let s = -6 - -6.2. Which is the biggest value? (a) s (b) 5 (c) -0.2
b
Suppose 0 = 4*i - 10 - 10. Let y(o) = -o + 13. Let k be y(8). Suppose k = -i*t - 20. Which is the second smallest value? (a) t (b) -4 (c) -2
b
Let x = 17.14 - 0.14. Let l = 1114.4 - 1114. Which is the second biggest value? (a) x (b) l (c) 2
c
Let i = 0.4 + -5.4. Let k be (-1)/(10/(-84)) + 1 | {
"pile_set_name": "DM Mathematics"
} |
= 5*z**3 + 2*z**2. Let m(j) = -11*j**3 - 5*j**2 + 1. Let h be (-4 + 55/20)*4. Give h*n(y) - 2*m(y).
-3*y**3 - 2
Let m = 67 - 64. Let b(p) = -15*p + 2. Let f(z) = -7*z + 1. Give m*b(u) - 7*f(u).
4*u - 1
Let q(v) = -121*v. Let c(f) = -24*f. Determine 11*c(t) - 2*q(t).
-22*t
Let z(g) = g**2 + g + 1. Let s(q) = 3*q**2 - 2*q + 2. What is s(r) - 2*z(r)?
r**2 - 4*r
Let i(o) = 23*o - 3. Let u(x) = 115*x - 16. Calculate -11*i(l) + 2*u(l).
-23*l + 1
Let m(f) = -5*f + 4. Let j(r) = 6*r - 5. Give 3*j(h) + 4*m(h).
-2*h + 1
Let s = -24 + 19. Let i(f) = 5*f - 3*f - f. Let v(q) be the second derivative of q**3 - q**2/2 + 2*q. Determine s*i(r) + v(r).
r - 1
Suppose -t = 7 - 8. Let c(f) = f. Let k(j) be the first derivative of -j**2/2 + 2*j + 3. Determine t*k(m) + 2*c(m).
m + 2
Let w(z) = -z + 2 + 3 - 5. Let m(g) = g + 2. Let r be m(0). Let o(b) = r*b + 2 - 3 - b**2 + 2. Calculate -o(y) - 3*w(y).
y**2 + y - 1
Let m(a) = 2*a**2 - 2 + 3*a - 1 + 0*a**2. Let o(y) = -6*y**2 - 8*y + 8. Let b(g) = g**2 + 7*g - 11. Let i be b(-8). Calculate i*o(z) - 8*m(z).
2*z**2
Let a(d) = d - 3. Let g(t) = -2 + 4 - 3. Suppose c = 2 - 0. Give c*a(w) - 6*g(w).
2*w
Let d(t) = -4*t + 9 - 2*t - t**2 + 0*t**2. Let p be d(-7). Let i(r) = -r - 3 + 2 + p. Let x(s) = -2*s**3 + 2*s - 2. What is 2*i(l) + x(l)?
-2*l**3
Let s(i) = 6*i**2 - 4*i - 5. Let p(b) = -b**2 + b + 1. Suppose -42 = -4*t - 3*z, t + 3*z = -z + 17. Let h = t - 10. Give h*s(g) - 4*p(g).
-2*g**2 + 1
Let p(z) = 2*z**2 - 1. Let m be p(1). Suppose 4*a + m = 73. Let n(v) = v**3 + 2*v**2 - 1. Let x(o) = 4*o**3 + 9*o**2 - 5. What is a*n(q) - 4*x(q)?
2*q**3 + 2
Let c(l) = 9*l - 59. Let d(r) = -14*r + 88. Determine 8*c(s) + 5*d(s).
2*s - 32
Let k(u) = -u**3 + 5*u**2 - 11*u. Let l(x) = x - 1. Let g(s) = 2*s**2 - 10*s + 5. Let h(c) = g(c) + 5*l(c). Give -5*h(a) + 2*k(a).
-2*a**3 + 3*a
Let j(o) = 3*o - o**2 - 2*o**2 + o**3 - 2*o. Let h = -40 - -42. Let x(v) = 4*v**3 - 10*v**2 + 4*v. Give h*x(c) - 7*j(c).
c**3 + c**2 + c
Let x(b) = 2*b**3 + 14*b + 2. Let k(r) = 10*r**3 + r**2 + 70*r + 11. Give -2*k(m) + 11*x(m).
2*m**3 - 2*m**2 + 14*m
Let r(v) = -3*v**2 - 7. Let u(w) = -3*w**2 - 8. Let f(m) = -m**3 + 6*m**2 + 5*m - 25. Let k be f(6). What is k*u(i) - 6*r(i)?
3*i**2 + 2
Let k(r) = -5*r**3 + 4*r**2 - 6*r. Let p(c) = 9*c**3 - 7*c**2 + 11*c. Let s be 10/(-3)*12/10. What is s*p(m) - 7*k(m)?
-m**3 - 2*m
Let c(p) = 6*p**3 + 6*p**2 - 5*p - 4. Let h(j) = -j**3 - 15*j**2 - 15*j - 19. Let s be h(-14). Let m(q) = -5*q**3 - 5*q**2 + 4*q + 3. Determine s*m(w) - 4*c(w).
w**3 + w**2 + 1
Let d(z) be the first derivative of 1/3*z**3 + z + 0*z**2 + 9. Let f(i) = -i**2 - 1. Suppose s - 2 = 4*p, 3 = p - 2*s - 0. Give p*f(o) - 2*d(o).
-o**2 - 1
Let v(w) = -34*w**2 - w + 6. Let y(j) = -j**2 - 1. What is -v(a) - 6*y(a)?
40*a**2 + a
Let p = 371 + -369. Let y(l) = -5*l - 3. Let k(t) = -24*t - 14. Let g(h) = 6*k(h) - 28*y(h). Let m(w) = -w**2 - 9*w - 1. Determine p*m(s) - 5*g(s).
-2*s**2 + 2*s - 2
Let c(l) = -3*l**3 - 2*l. Let f be (-8)/28 - (-84)/(-49). Let t(z) = 5*z**3 + 5*z. What is f*t(n) - 5*c(n)?
5*n**3
Let s(i) be the first derivative of -i**3/3 + i**2/2 - i - 5. Let f(a) = -a**2 - 2. Give f(v) - 2*s(v).
v**2 - 2*v
Let b be (3/(9/2))/((-8)/60). Let q(j) = 2*j + 1. Let f(u) = 3*u + 1. Determine b*q(o) + 4*f(o).
2*o - 1
Let s(f) = -2*f - 3*f + 7 + 0*f. Let i be 1/(((-3)/(-9))/1). Let w(r) = i*r - 4 - 2*r + 3. Determine s(a) + 6*w(a).
a + 1
Let r(d) = -5*d**3 + d**2 + 6*d. Let t(v) = -v**3 + v. What is -r(j) + 6*t(j)?
-j**3 - j**2
Suppose -4*p + 0 = 84. Let l = p + 9. Let g(q) = -q. Let c(n) = -10*n. Determine l*g(z) + c(z).
2*z
Let y(m) = 5*m**3 + 6*m**2 + 6*m + 6. Let n(h) = -15*h**3 - 17*h**2 - 17*h - 17. What is -6*n(d) - 17*y(d)?
5*d**3
Let h = -20 + 16. Let u(b) = 3*b + 2. Let f(p) = p. Let y(g) = -3 - 7*g + g**2 + 2*g + 4. Let l be y(5). Determine h*f(w) + l*u(w).
-w + 2
Let j(o) = o**2 + 6*o - 4. Let c(y) = -y**2 - 4*y + 3. Suppose 16 = -4*b - 4. What is b*j(m) - 7*c(m)?
2*m**2 - 2*m - 1
Let t(a) = -21*a**2 + 2*a. Let h(s) = -85*s**2 + 9*s. What is 2*h(b) - 9*t(b)?
19*b**2
Let s(m) = -m + m - 10*m - 6. Let z(b) = -24*b - 4. Let n(l) = -11*l - 2. Let w(f) = 9*n(f) - 4*z(f). Determine -2*s(j) + 7*w(j).
-j - 2
Let s(p) = -2*p**3 - p**2 + p - 3. Let l(v) be the second derivative of v**5/4 + v**4/4 - v**3/3 + 7*v**2/2 - 15*v. Calculate -3*l(a) - 7*s(a).
-a**3 - 2*a**2 - a
Let b(g) = -g - 1. Let x(m) = -7*m - 7. What is 6*b(z) - x(z)?
z + 1
Let f(h) = 3*h + 5. Let c(r) = 5 - r + 2 - 11 + 3. What is 10*c(l) + 2*f(l)?
-4*l
Let i(m) be the second derivative of -m**3 - 3*m**2 + m. Let h(k) = -5*k - 7 + 9 - 7. Give 4*h(r) - 3*i(r).
-2*r - 2
Let c(p) be the first derivative of p**3/3 + 7*p**2/2 + 5*p + 5. Let i(x) = -x - 1. Let k(l) = 5*l + 5. Let j(b) = 11*i(b) + 2*k(b). Determine c(z) + 5*j(z).
z**2 + 2*z
Let m(u) = -u**3 - u. Suppose -5*c = -2*h + 5, -5*c + 4*h + 9 - 24 = 0. Let l(a) = 4*a**3 + 3*a + 1. Determine c*l(z) + 3*m(z).
z**3 + 1
Let m(y) be the third derivative of -1/12*y**4 + 0*y**3 + 1/60*y**5 + 0*y + 4*y**2 + 0. Let a(x) = x**2 - x. What is 4*a(g) - 2*m(g)?
2*g**2
Let m(o) = -3*o**3 + 4*o**2 - 3*o + 4. Let s(j) = -7*j**3 + 8*j**2 - 7*j + 9. Calculate -9*m(z) + 4*s(z).
-z**3 - 4*z**2 - z
Let w(y) = y**2. Let j(n) = 2*n**3 - n**2 - 2*n + 2. Let o be j(1). Let x(s) = 5*s**2. What is o*x(r) - 3*w(r)?
2*r**2
Let i(p) be the second derivative of -p**4/3 + p**3/2 - p. Let v(w) = -5*w**2 + 4*w. Calculate -4*i(h) + 3*v(h).
h**2
Let d(b) = 3*b**2 - 6. Let c(y) = -4*y**2 + 7. Let v = -20 - -27. Calculate v*d(z) + 6*c(z).
-3*z**2
Let u(k) = -2*k + 8. Let q(s) = -5*s + 15. Give -3*q(h) + 5*u(h).
5*h - 5
Let n = -10 + 9. Let i(s) = -s**3 + s**2 - 1. Let a(r) = 6*r**3 - 4*r**2 + 2*r + 4. What is n*a(p) - 4*i(p)?
-2*p**3 - 2*p
Let m(i) = 10*i**2 + 10*i + 7. Suppose x + 73 = -5*u, -3*u = -2*x + 27 + 9. Let s(c) = 3*c**2 + 3*c + 2. Determine u*s(a) + 4*m(a).
-2*a**2 - 2*a
Let y(p) = 5*p + 3. Let r(v) = -2*v - 2. Give 5*r(q) + 3*y(q).
5*q - 1
Let x(t) be the second derivative of -6*t + 0 + 1/2*t**2. Let z be -1*2/4*-2. Let l(v) = v - 2. Give z*l(s) + 2*x(s).
s
Let j(c) = -c - 1. Let w(a) = a**2 + 5*a + 2. Let o be w(-4). Let n(x) = x**2 + 3*x + 3. Give o*n(t) - 6*j(t).
-2*t**2
Let u(l) = -9*l - 5. Let h(z) = -9*z - 5. Determine -2*h(q) + 3*u(q).
-9*q - 5
Let q(h) = -15*h - 1. Let f(s) = -15*s - 1. Calculate -6*f(n) + 7*q(n).
-15*n - 1
Let q(a) be the first derivative of -a**4/4 + 2*a + 6. Let j(t) be the first derivative of -t**4/4 - 3. Give -2*j(s) + q(s).
s**3 + 2
Let l(m) = -2*m**2 + m - 5. Let j be (-44)/(-6) - (-4)/6. Let g = -19 + j. Let r = -7 - g. Let q(k) = -2*k**2 + k - 6. Determine r*q(o) - 5*l(o).
2*o**2 - o + 1
Let b(q) = -6*q - 2. Let y(z) = -z**3 + 7*z**2 - 7*z + 2. Let d be y(6). Let s(c) = -5*c - 1. Determine d*s(k) + 3*b(k).
2*k - 2
Let q = 10 + -7. Let w be (4/8 - q)*-2. Let n(v) = 6*v - 5 - 5*v + 2*v. Let g(k) = k - 1. Determine w*g(o) - n(o).
2*o
Let h(z) = 2*z + 1. Let q(s) = s - 4*s + 6*s + 2. Suppose -3*t + 32 = t. Calculate t*h(a) - 5*q(a).
a - 2
Let y(i) = -i**3 - i**2 + 4*i. Let k be y(-3). Let c(o) = 4*o + 7. Let b(v) = v + 1. What is k*b(r) - c(r)?
2*r - 1
Let s be -1 + (0 - 0) + 3. Let o(p) = 13*p + 13. Let a(w) = 3*w - 1 + 2 + 2. Determine s*o(l) - 9*a(l).
-l - 1
Let d(j) = 1. Let c(s) = -12*s**2 - s - 4. Give -c(k) - 3*d(k).
12*k**2 + k + 1
Let p(m) = 7*m**3 - 2*m - 4. Let g(u) = u**3 - u**2 + u. Let q(x) = 9*x**3 - 3*x**2 + x - 3. Let o(z) = -3*g(z) + q(z). What is -5*o(t) + 4*p(t)?
-2*t**3 + 2*t - 1
Let k(p) = -2*p - 4. Let o(q) = 1 + q + 1 + 1. Let u(s) = -s - 3. Let t(d) = -3*o(d) - 2*u(d). Calculate 4*k(w) - 6*t(w).
-2*w + 2
Let q(s) = s**3 + s**2 + s - 1. Let l(t) = -7*t**3 - 3*t + 1. What is l(o) + 3*q(o)?
-4*o**3 + 3*o**2 - 2
Let o(u) = -1. Let p(z) = -z - 9. Determine -2*o(d) + p(d).
-d - 7
Let y(g) = 3*g**3 + 7*g**2 - 4*g + 1. Let l(c) = -3*c**3 - 8*c**2 + 4*c - 1. Determine -5*l(j) - 6*y(j).
-3*j**3 - 2*j**2 + 4*j - 1
Let u(h) = h. Let m(g) = -g**3 + g. Let b = 8 - 16. Let z(w) = -w**3 - 7*w**2 - 8*w - 3. Let f be z(-6). Let i = b + f. Calculate i*m(a) - u(a).
-a**3
Let b(k) = 1. Let l(r) be the third derivative of r**4/12 - 5*r**3/6 + 12*r**2. Determine 5*b(u) + l(u).
2*u
Let k(j) be the first derivative of 3*j**4/4 - 4* | {
"pile_set_name": "DM Mathematics"
} |
7
What is (-35)/10 + 12/8?
-2
What is (30/(-56) - (-36)/126)*2?
-1/2
What is the value of -3 + 39/9 - 56/6?
-8
What is the value of 3/(-2)*11/(-33)?
1/2
What is the value of 4 - (-234)/91*(-5)/3?
-2/7
What is ((-36)/81)/((-4)/54)?
6
What is (15 - 429/30) + (-3)/5?
1/10
Calculate 16/3 + 1 - (-53 + 59).
1/3
What is (-5)/((-165)/36)*(-11)/(-10)?
6/5
Calculate 57 - 55 - 0*1/(-2).
2
What is 24/(-3) - (-33 - -27)?
-2
Evaluate -5*1/(-3) + (-4)/2.
-1/3
Evaluate 2/10*6/(-48)*-30.
3/4
Evaluate (((-6)/10)/(-1))/((-1830)/(-244)).
2/25
Evaluate ((-12)/156)/(((-15)/6)/5).
2/13
Evaluate 2*(-4 - (-1)/(-4 - -5)).
-6
(-10)/70 - (-5)/70
-1/14
((-3)/(-6))/(12/(-24)) + 3
2
((80/12)/(-5))/((-44)/(-66))
-2
Evaluate (-3)/2*(-56)/462.
2/11
What is the value of -20*(-4)/16 - 2?
3
(2 + 1)*16/(-48)*1
-1
What is 5/(-30)*-34 - 5?
2/3
What is (8/12*6*-1)/(-4)?
1
What is 1 - (21/36 + (-8)/(-12))?
-1/4
What is the value of (-4)/8 + (-1)/((-36)/26)?
2/9
What is 14 - ((-20)/(-10) + 5)?
7
(3 - 2)/((-5)/(30/(-14)))
3/7
What is the value of (-5)/(-6) - ((-48)/(-9))/8?
1/6
What is (5/(-4)*-1)/5?
1/4
(-5)/((-13)/(312/60))
2
Evaluate (-27)/45 + 430/550.
2/11
Evaluate ((1 - 2)/(-2))/(7/42).
3
((-6)/8)/(15/4)
-1/5
Calculate (21/35 + 0)/(2/(-5)).
-3/2
What is (-2 + 0 + -3)/(49 + -48)?
-5
Calculate (-8)/(-192) + 2/6 + 0.
3/8
What is the value of ((-6)/60)/((-5)/10)?
1/5
What is (-15 + 615/30)*4/(-2)?
-11
(25/(-10))/(-3*(-5)/(-12))
2
What is -6 + 1 + -2 + 187/27?
-2/27
Calculate (1*-63*(-140)/630)/2.
7
10/(-35) + (108/(-70))/3
-4/5
Evaluate 4*(-2)/(-10) - 1638/2835.
2/9
28/(-5) + (43 - 38)
-3/5
(1 + -5)/4 + -2
-3
(5 - 84/18)*(-12)/(-10)
2/5
What is (3/(-294)*-7)/(1/(-4))?
-2/7
Evaluate 1/(-3)*378/(-42).
3
What is the value of 4 + (-47)/9 - -1?
-2/9
Calculate 1 + -6 - (-23)/5.
-2/5
Calculate 2/(91/14 + -6).
4
What is (3/17)/((-12)/8)?
-2/17
Evaluate (-4)/(-11)*(1501/(-570) + 3).
2/15
What is 4/20 + 23*3/(-195)?
-2/13
What is the value of (-3)/((-30)/(-58)) + (-37)/185?
-6
Evaluate (0 - 1/(-2))*(-36 - -28).
-4
What is (79/16 - 4)*(-28)/(-70)?
3/8
Calculate ((-70)/98)/(2/(-14)).
5
Evaluate -9 - 11/(-484)*404.
2/11
What is the value of -1 + 4 - (4 - -2 - 6)?
3
Evaluate ((-4)/8)/(2/12).
-3
What is the value of 1 - (6/(-48))/((-2)/12)?
1/4
Calculate (-3)/45 + (-1)/(-5).
2/15
Evaluate (-24)/(-30)*5 - 9.
-5
Calculate 360/(-140) - ((4 - 1) + -5).
-4/7
Evaluate (22/(-231) - -5) + -5.
-2/21
What is (26 - 26)/(0 + (1 - 0))?
0
Evaluate (12/(-16))/(54/(-12)).
1/6
Calculate 4 - -1 - (-2 + (-3 - -5)).
5
Calculate (35/175)/((-1)/5).
-1
What is 6/57 - 4/38?
0
What is the value of 4/(-6) + 24/(-9) + 4?
2/3
2/45*(0 + -7 - -4)
-2/15
66/(-330)*(1 + -4)
3/5
Calculate 21*(-2)/80 - 162/(-405).
-1/8
Calculate -2*5/10*-3.
3
What is (0 + (-11)/(-4) - 5) + 3?
3/4
What is (-4)/26 - 336/(-4550)?
-2/25
What is 18/(-48)*2/3?
-1/4
Calculate 3/(-20) - 13/52.
-2/5
14/36 - (-3)/(-18)
2/9
Calculate ((-6)/(-15))/((-5)/25).
-2
What is (-2)/(-10)*(-19 - -17)?
-2/5
What is -7 - 40/8*-1?
-2
What is the value of 7*(28/343)/(-2)?
-2/7
Evaluate 1/2*(7 + -8).
-1/2
What is (-55)/(-165)*(0 - 0)?
0
Evaluate ((-112)/(-20) + -4)/(9/(-45)).
-8
What is 1/5*20/(-16)?
-1/4
What is the value of 12/(-40)*(-6)/(-9)?
-1/5
Evaluate (12/(-7))/(-4) + (-925)/2975.
2/17
5476/(-1184) - 3/8
-5
Evaluate (-2)/(5*4/8 - 3).
4
(-7*(-14)/49)/((-4)/(-10))
5
Calculate 423/693 + 2/(-11).
3/7
Evaluate 18/(-60)*(-1 + 3).
-3/5
What is the value of (1323/2058)/(24/(-14))?
-3/8
What is the value of (-3)/21 - 345/(-161)?
2
5*(-1)/(5 - 6)
5
What is (-6)/(-4)*(-24)/4860*-30?
2/9
What is ((-1 + 5)*(-18)/(-144))/(-1)?
-1/2
Calculate 48/(-48) - (-21)/23.
-2/23
(2/14)/((-274)/959)
-1/2
28/(-42) - 20/(-15)
2/3
What is the value of ((-312)/30 + 10)/(8/(-15))?
3/4
4060/350 - (-22)/(-2)
3/5
What is the value of (14/(-21))/(((-5)/(-6))/(-5))?
4
What is the value of 16/24 + (-1)/24 + -1?
-3/8
What is 135/21 - (-138)/(-322)?
6
-3*(-5)/(-20) + 1/(-4)
-1
What is (3/51)/((-5)/(-10))?
2/17
What is -6*(-9)/315 - (-4)/10?
4/7
Evaluate (-51)/(-12) - 3/24*2.
4
What is 16/18*(-174)/116*-1?
4/3
Calculate (2 - 1267/651)/(20/24).
2/31
396/187 + (1 - 3)
2/17
Evaluate (-44)/(-10) + 1 + -5.
2/5
What is the value of ((-3)/14)/(4 - (-13)/(-4))?
-2/7
What is 9 + -6 + (-56)/14?
-1
(-2)/28*2*-7
1
Evaluate (-33 + 28)*(0 + 16/(-20)).
4
Calculate (-126)/15 - (-216)/27.
-2/5
What is 1150/110 + -9 + (2 - 4)?
-6/11
((-2)/(-60))/((-16)/(-40) + 0)
1/12
What is the value of 12/(-20) + 1 + (-44)/10?
-4
(84/70)/((-2)/15)
-9
Evaluate 10/(-15) + (-56)/(-192).
-3/8
What is the value of 25*(2 + (-64)/40)?
10
What is 2/(8/6)*312/(-234)?
-2
Calculate (2/18)/((-1)/(-2)).
2/9
(-3)/1 + (-5)/((-40)/21)
-3/8
What is -2*(-1 + 6/(-4))?
5
Calculate (-3)/(-3)*(4 + -4).
0
Calculate (199 + -191)*(-2)/(-16).
1
(-114)/36 + (-4)/(-24)
-3
(-31)/(-6) + (6/3)/(-12)
5
4 + -1 - ((4 - 1) + 2)
-2
What is the value of (7 + -3 - (0 + 2))/7?
2/7
Evaluate 5 + -2 + -14*1/2.
-4
What is the value of 12 + 30*1/(-3)?
2
Evaluate (-90)/105*(18/12)/3.
-3/7
What is -2 + ((-24)/(-8) - 7) - 1?
-7
(-105)/(-1225) + 2/10
2/7
What is 20/(-96)*-4 - 1?
-1/6
Calculate (-17)/((-6069)/2533) + (1 - 8).
2/21
Calculate 2/7 - (-2 - (-121)/56).
1/8
16/(-10) - (-2)/(10/3)
-1
(8 - 0 - 11) + -6
-9
What is the value of 40/16*48/15?
8
Calculate (15 - 13)*3 - 2.
4
Calculate (-1 + 2)/(-2 - -1).
-1
What is (28/42)/((-4)/(-2))?
1/3
19/57 - (-5)/(75/(-2))
1/5
Evaluate ((-11)/((-770)/30))/(2/2).
3/7
Evaluate (210/63)/(((-10)/(-3))/(-5)).
-5
Calculate 1/(((-2 - -3) + 0)/1).
1
(1/3)/1 + (-91)/21
-4
Calculate (-17)/6 + (-897)/46 + 22.
-1/3
What is the value of 231/(-49) + -2 - -7?
2/7
Evaluate ((-1)/(-15))/(43/(-215)).
-1/3
What is 8/(-12) - 35/30*-4?
4
What is the value of 129/(-1204)*4/6*4?
-2/7
Calculate -4 + (-144)/(-27) + -3.
-5/3
What is the value of ((-8)/36 + (-33)/(-27))*1?
1
Evaluate ((-1)/3)/(2/24).
-4
Calculate (-350)/6825*(1 + (0 - -2)).
-2/13
(-2)/10 - (17 + (-1890)/75)
8
Calculate 13/13 - (17 - 9).
-7
What is (-16)/6 - 5/(30/(-18))?
1/3
Calculate ((-400)/96 - -4) + (-14)/(-12).
1
Evaluate ((-7)/28*1)/(9/(-4)).
1/9
17*132/374 + 8/(-2)
2
Evaluate (-322)/(-65) - 5 - 2/(-10).
2/13
(-2*(-14)/8)/((-50)/(-100))
7
Calculate (-95)/114*3/10.
-1/4
What is (5 - 4 - -1) + 117/(-63)?
1/7
1/2*(-1 + -4 + 5)
0
What is the value of -7 + (364/35 - 3)?
2/5
Calculate -8 + (-28 - -54) + -8 + 1.
11
Evaluate (2/(-12))/(9/36).
-2/3
What is (-4)/(-16)*(-1 - -5)?
1
(-54)/(-24) + 3/(-12)
2
((1 - 2) + 1)/(-54 - -53)
0
Calculate 6/9 + 1386/189.
8
((-1)/3)/(33/(-6) - -5)
2/3
Evaluate (3 + -4)/(2/(-12)*-2).
-3
12/(-9) + 20/15
0
What is the value of 1/1*(-24 + 26)?
2
Evaluate 12 - (3 - -11) - 6.
-8
Calculate (-10)/6*(-66)/55.
2
(-1 - 69/(-6))*(-66)/(-99)
7
What is the value of 10 - 7 - (-5)/((-5)/(-2))?
5
What is the value of (32/56)/((-16)/(-224))?
8
Evaluate -2 - 1 - (-5)/1.
2
Calculate (-9)/11 - -1 - (-400)/(-990).
-2/9
((-54)/(-90))/(12/(-15))
-3/4
Calculate 18 + (-22)/1 - (2 - 1).
-5
What is (-28)/(-32) + (-3)/(-24)?
1
Calculate ((-14)/(-6) - 3)/((-2)/12).
4
2 - (0 - (-42)/12)
-3/2
Evaluate 6/(-21) + 48/42.
6/7
What is -3 - 76/(-28) - 10/14?
-1
Calculate 9/6*(-80)/210*-1.
4/7
(9/12)/(6/192*-4)
-6
Evaluate 1/5 + (-35)/(-150)*-3.
-1/2
(1665/(-150) - -12)*2/6
3/10
(-19)/(418/4)*(2 - 3)
2/11
(47 - 46)/(1/7)
7
(81/(-6))/(39/(-26))
9
Calculate 2/76*8/10*5.
2/19
What is (39/(-13))/1 - (-8 + -1)?
6
Evaluate (2/8)/(59/708).
3
Evaluate (-4 + 1)/(75/50).
-2
What is the value of 6/4 + (-6)/4?
0
-25 + 24 - (-3 - 0)
2
Evaluate ((-2)/6 - -1)*225/400.
3/8
Evaluate (6/(-4))/((-6)/(-8)).
-2
8/(352/(-121)) + 2
-3/4
What is the value of (3 - 84/12) + 7?
3
Calculate 462/49 - (-3 - -12).
3/7
Calculate 1 - 93/9 - 8/(-6).
-8
Evaluate (-30)/(-175)*-4 - 4/(-10).
-2/7
Evaluate (-21)/((-210)/40) - 11.
-7
Evaluate ((-2)/(-1) + 7)/((-54)/36).
-6
Calculate (12/10)/((-63)/210).
-4
Calculate 7 + 368/(-60) + (-1)/5.
2/3
Calculate ((-6)/39 + (-37)/13)/7.
-3/7
Calculate (16/(-4))/2 - (-20)/11.
-2/11
Calculate (-36)/18 - (5 + -3 - 1).
-3
48/(-84)*56/176
-2/11
Calculate (-3136)/(-1456) + (-1 - 22/(-26)).
2
What is the value of (-16)/(-216) - (-298)/(-378)?
-5/7
What is (-6 + 7 + -1)/(-2)?
0
What is the value of (0 + (-5)/10)*2?
-1
Evaluate -2*(-1)/(-2)*1 + -1.
-2
What is the value of (-36)/66 - 4/((-264)/102)?
1
What is (-1 - | {
"pile_set_name": "DM Mathematics"
} |
00 = m + u*m. What is the least common multiple of -2*2/4*-4 and m?
20
Suppose 3*w - 4*k + 10 = 0, 3*w - 2*k = -6*k + 22. Suppose 2*d - 23 = p - 0*p, -w*d - 5*p - 7 = 0. Let n = 4 - 2. What is the least common multiple of d and n?
18
Let u(n) be the second derivative of -n**4/12 + 5*n**3/3 + 13*n**2 - 46*n. Suppose -3*p + 14 + 7 = 0. Calculate the smallest common multiple of u(12) and p.
14
Let a(u) = 5*u**3 - u**2 + 2*u - 1. Let j be a(1). Let h = j + -3. Let n(c) = -c - 4. Calculate the lowest common multiple of n(-8) and h.
4
Let x = -595 + 727. Calculate the smallest common multiple of x and 48.
528
Suppose k - 4 = a, -3*k - a = k - 11. Let i = 15 + -40. Calculate the lowest common multiple of 114/15 - (60/i - -3) and k.
21
Suppose -4*y - 3*n + 30 = 0, y - 2 = -2*n + 4*n. Suppose -6 = -3*o + y. What is the lowest common multiple of o and 16?
16
Find the common denominator of 13/22 and -1*((-7505)/(-7690))/19.
16918
Let i = 303233/90 - 4479467/1332. Let f = 63/148 - i. Find the common denominator of f and 16/27.
135
Suppose 1 = 2*p - s - 4, 2*s = 6. Let h = p + -1. Suppose 5*o - 22 = -n + 4*o, n = h*o + 6. What is the lowest common multiple of n and 4?
36
Let p(d) = -d**2 + 12*d - 23. What is the least common multiple of p(8) and 2?
18
Let d = -20 + 24. Suppose 4*u = d*q + 128, -3*u + 5*q + 22 = -74. Let k(t) = 10*t**3 + t**2 - t. What is the least common multiple of k(1) and u?
160
Calculate the common denominator of -33/14 and (-88)/22 + (-45174)/(-11424).
1904
Suppose 45 = i + 44. What is the smallest common multiple of i and 126?
126
Suppose -3*s - s + 11 = -5*l, 5*l - 5 = 0. Suppose -2*t + 5*o - s*o + 26 = 0, o - 19 = -t. Calculate the lowest common multiple of 33 and t.
165
Let m = 46931/6 - 7839. Let a = 211327/12 - 17599. What is the common denominator of m and a?
12
What is the least common multiple of 95 and (-20)/(-6)*-3 - -65?
1045
Let h(n) = -2*n + 20. Let s be h(11). Let b = 37 - 19. Let m = b + s. What is the lowest common multiple of 18 and m?
144
Suppose 5 = l + 4. Let g(p) = -p**2 + 10*p + 12. What is the lowest common multiple of g(11) and l/9 + 284/36?
8
Suppose -5*i + 2*l + 86 = l, 0 = 5*i + 2*l - 98. Let a = -33 + i. Find the common denominator of 54/7 and a/(-75) - 698/(-60).
42
Let l = 383181/22 + -17422. Suppose -5*z = 2*z - 28. Calculate the common denominator of l and z/(-2) - 21/98.
154
Let h(o) = -o**3 + 9*o**2 - 8*o - 15. Find the common denominator of 7/10 and h(7).
10
Let b be 8/((4 - 3) + 1). Suppose -b*w = -3*z - 39, 3*z - 2*z - 17 = -2*w. Let y = -1 + w. What is the least common multiple of 9 and y?
72
Suppose 2*b - 215*y + 212*y - 257 = 0, -5*b - 2*y = -671. Calculate the lowest common multiple of 6 and b.
798
Suppose 0*b = 20*b - 60. What is the lowest common multiple of b and 13?
39
Suppose -415 = -29*s - 67. Let z = 10 + -7. Calculate the smallest common multiple of s and z.
12
Let f(q) = q**3 - 6*q**2 + 2*q + 8. Let i(j) = -j**2 + 30. Let x be i(0). Suppose -8*o + 3*o = -x. Calculate the least common multiple of f(6) and o.
60
Let j(t) = 15*t**2 - 7*t + 2. Calculate the smallest common multiple of j(1) and 6.
30
Suppose -f - 3*f = 80. Suppose 15 = -o - 3. Calculate the common denominator of 43/11 and (33/o)/((-4)/f).
66
Find the common denominator of 145/6 and (-2802)/(-2760)*-2 + 2.
690
Let m = -576 - -118081/205. Let r = m + 1017/1640. Find the common denominator of (2/4)/(20/(-392)) and r.
40
Suppose -6*g + 4*s - 25 = -g, 25 = -5*g + 5*s. Let d = g + 7. Calculate the lowest common multiple of d and 11.
22
Let y = 270442 + -2395364/9. Let n = -4296 + y. Calculate the common denominator of n and -97/10.
90
Let x(o) = -45*o**2 + 2*o + 1. Let n = 16 - 17. Let d be x(n). What is the least common multiple of d/(-8) + 12/(-16) and 10?
10
Let c = 2497/90 + -11/45. Find the common denominator of c and (-6)/(-27)*((-4173)/(-8))/13.
12
Suppose -3*t + 0 = -15. Suppose 9*i = t*i + 144. What is the least common multiple of 22 and i?
396
Let f(m) = -23*m + 1. Let y = 451 + -415. What is the least common multiple of f(-1) and y?
72
Let g(h) = -h**2 + 4*h + 3. Let i be g(6). Find the common denominator of (-5)/4*56/20 and (-41)/12*12/i.
18
Suppose j + 2*c = 2*j - 13, -3*j + 3*c = -39. What is the lowest common multiple of j and 4?
52
Let c(t) = 39*t - 38. Let n be c(-4). What is the common denominator of (9 - 4) + n/16 and -91/24?
24
Suppose 6*v = 2*v + 80. Suppose -14 = -3*d + 34. Calculate the least common multiple of v and d.
80
Let c = -4574047/66 - -69302. Find the common denominator of c and 113/54.
594
Suppose m = -297 + 13. Find the common denominator of (-8)/(-20) - (m/(-15))/(-4) and 41/30.
30
Let u = 473/4 - 6313/52. Let p = 31/15 - -307/120. Calculate the common denominator of p and u.
104
Let b be (-216)/(-28) - (-4)/14. Suppose -g = -3*g + b, -4*q + 12 = 2*g. Calculate the least common multiple of 11 and q.
11
Let n(x) = x**3 - 9*x**2 + x - 9. Let u be n(9). Suppose u = 7*g + 2*g - 18. What is the smallest common multiple of 6 and g?
6
Let s be 795/(-5)*8/3. Let p = 275 + s. Find the common denominator of 65/3 and (-12)/(-30) + p/10.
6
Suppose -7*t - 143 = -157. Calculate the least common multiple of 16 and t.
16
Let s = -1609 + 1669. Calculate the smallest common multiple of s and 30.
60
Let y = 781361/158916 - 2/13243. Calculate the common denominator of -115/18 and y.
36
Suppose 2*n = -0*n - 5*l + 28, -3*n + l = -42. Calculate the common denominator of (74/(-20))/(n/35*-5) and -23/6.
60
Suppose 0 = -2*r + 7*f - 2*f + 28, 5*f = -2*r + 28. What is the least common multiple of (-1)/(-1) + (19 - 0) and r?
140
Let n be 95/(-19) - (-329254)/40. Let q = 17249 - 9021. Let u = n - q. Calculate the common denominator of -51/2 and u.
20
Let o(d) = d**2 - 7*d - 11. Let v be o(10). Suppose -13*c + v*c = 198. What is the least common multiple of 9 and c?
99
Find the common denominator of 51/23 and -4 + (130/70 - (2 - 1)).
161
Calculate the common denominator of 20/54*68/(-136) and -1/81.
81
Suppose a - k - 115 = 0, -5*a - 5*k + 628 = 83. What is the smallest common multiple of 24 and a?
336
Suppose -16*c - 3*c = -1064. Calculate the lowest common multiple of c and 10.
280
Suppose 0 = -0*k - k - 4. Calculate the common denominator of ((-1)/(-6))/(k/262) and -127/6.
12
Let n be (262/5)/(-1) - (-3)/(-5). Let f = 73 + n. What is the least common multiple of 32 and f?
160
Let i be (25/20)/(2/8). Suppose -5*x + 60 = -i. Find the common denominator of 6/4*x/3 and -56/11.
22
Let k = 34021/276032 - 103/1216. Find the common denominator of k and 73/32.
7264
Let j = -9 + 19. What is the smallest common multiple of 15/6*8/j and 1*-3*18/(-27)?
2
Suppose -753 - 903 = -23*f. What is the least common multiple of f and 64?
576
Let n = 37 + -25. Let g = -126323/180 + 6286/9. Calculate the common denominator of -2 - (42/(-20) - 3/n) and g.
20
Let w(x) = 68*x + 3. Suppose 0 = -0*m - m - 2. Let f be w(m). Calculate the common denominator of 53/3 and f/21*1/(-5).
15
Find the common denominator of -556*(-5)/15*2/(-224) and -103/48.
336
Let v = -37 + 19. Calculate the common denominator of 250/v*18/(-12) and -91/10.
30
Suppose 0 = i + 2*i - 15. Suppose 55 = i*w - 0*w. Let g(d) = d - 9. Calculate the least common multiple of 8 and g(w).
8
Suppose -2*j - 5*y = -67, 0 = j - 5*y - 49 + 8. Calculate the least common multiple of 40 and j.
360
Let h = -98457/20 + 4924. What is the common denominator of 2 + ((-394)/40 - -2) and h?
20
Suppose 3*x = -2*f + 38 + 28, 0 = 5*f - 15. Calculate the lowest common multiple of 2 and x.
20
Let i be ((-2)/4)/(12/(-120)). What is the common denominator of i/(10/(-51)) + -1 and 638/70 + 8/28 - 2?
10
Suppose -2*u + u - 4*c = -34, 5*c = 5*u - 45. Let z = -9 + -1. Let m = u + z. Calculate the smallest common multiple of 2 and m.
4
Let a = -357066 - -3920133/11. Let w = -687 - a. Find the common denominator of 1/5 + (-206)/5 and w.
11
Let p = 31 - 1. Suppose -3*c + p = -c. Suppose 2*z = c - 5. Calculate the lowest common multiple of z and 12.
60
Suppose 5 - 17 = -3*r. Calculate the smallest common multiple of r and (-8)/5*165/(-66).
4
Let h = -187 - -256. Calculate the lowest common multiple of 10 and h.
690
Let o be 0 - (-1 + 2 - -1). Let c = -2171/3 + 736. Calculate the common denominator of (29/28)/(o/8) | {
"pile_set_name": "DM Mathematics"
} |
**3. Let o(u) = 5*u. Let c be o(-1). Give j(c).
-1
Let i = 569 - 569. Let n be 5/(-1)*(12 + i)/12. Let b(w) = -2*w - 2. Calculate b(n).
8
Suppose 4*n = k + 2*k - 5, -2*n - 10 = 0. Let y(s) = -6 - 685*s + 106*s + 583*s - s**3 - 4*s**2. What is y(k)?
-1
Let l(g) = 2*g**2 - 2*g + 1. Let i(p) = 8*p**2 - 21*p + 12. Let d(s) = -i(s) + 2*l(s). Calculate d(5).
-25
Suppose -17*p + 20 + 57 = 9. Let y(r) be the third derivative of 5/24*r**p - 1/30*r**5 + 0*r + 0 - 25*r**2 + r**3. Give y(5).
-19
Let l(v) = v**3 + 5*v**2 + 2*v - 3. Let i = 1925 - 1929. Give l(i).
5
Let g(j) = -23*j**3 + j**2 + j. Let a(d) = -d**3 - 26*d**2 + 58*d + 55. Let l be a(-28). Give g(l).
23
Let h(k) = k - 3. Let b = -25 + 151. Suppose 0 = 3*q + l - 18 - b, q - l = 48. Suppose 6*d + 2*d = q. What is h(d)?
3
Let l = 27389 + -27386. Let u(d) = 13*d - 40. Determine u(l).
-1
Let f(m) = -m - 5. Let h be f(-7). Let o(w) = -h + 0*w + 4*w + 2*w. Let d be 40 + -43 + 1/((-2)/(-10)). Determine o(d).
10
Let z = -10769 - -10766. Let y(v) = v**3 - 3*v**2 - 4. Calculate y(z).
-58
Suppose 2*g - 3*h = 5 - 23, 3*h - 36 = 4*g. Let b(o) = -6 - 8808*o + 17534*o - 16 - 8727*o. Determine b(g).
-13
Suppose -21*t - 10 = -22*t + 2*h, h - 2 = 4*t. Let y(f) = 2*f**2 + f + 1. Give y(t).
7
Let y(a) = 2*a**2 + 1 - 6*a**2 + 2*a**2 + 2*a. Let m = -108 + 155. Let i = 46 - m. Calculate y(i).
-3
Suppose -14 = -19*u + 12*u. Let l(i) = -4*i - 20*i - 10*i**2 - i**3 + u*i**3 - 2 + 13*i. Give l(11).
-2
Let f(b) = -2*b**2 - 4*b - 2. Let u(m) = 25*m**2 + 2*m + 1. Let r be u(3). Let g = r + -235. Give f(g).
-8
Let g(t) = 3*t. Let d be g(-1). Let l(h) be the first derivative of h**4/24 - h**3/6 - 67*h**2 + 155. Let m(z) be the second derivative of l(z). Calculate m(d).
-4
Let k = 5303 - 5335. Let r(b) = -b - 28. Give r(k).
4
Let f(d) = 16*d + 19 + 8 + 276*d**2 + 10*d + 280*d**2 - 561*d**2. Calculate f(6).
3
Let o(n) = -16*n + 125. Let m(t) = 5*t - 36. Let r(j) = -7*m(j) - 2*o(j). Calculate r(9).
-25
Let z(o) = -4*o + 2. Let w(h) = -h + 1. Suppose 5*b - 3*p = 36, 0 = b - 3*p - 12. Let y = -2 - 0. Let s(n) = b*w(n) + y*z(n). What is s(4)?
10
Suppose 54 = 6*v + 24. Let o(t) = t**3 + 193*t + 1 + 1 - 193*t + v*t**2. What is o(-5)?
2
Suppose -2*y + 4*y - 5*c = 24, c = -y + 5. Suppose -y*g = 21 - 7. Let s(t) = -2*t + 1. Give s(g).
5
Let s(f) = -6*f**3 + 2*f**2 + 5*f + 4. Suppose 5*n + 17 = 3*k, 3*k = -0*k - 5*n - 23. Give s(k).
7
Let s(u) = -u**3 + 2*u**2 - 1. Suppose -161 = -2*v + 49. Let t = -103 + v. Suppose 2*n + 3*h - 3 = 0, 0*n - t*n = -4*h - 10. Give s(n).
-10
Let v(g) = g**3 + 7*g**2 + 5*g - 4. Let c be v(-6). Let i(j) = c*j - 3*j**2 + j**3 + 2*j - 13*j + 4*j + 4. Let t(r) = r + 19. Let o be t(-15). What is i(o)?
0
Let g(n) = -n**2 + 4*n + 6. Let a(v) = -v**2 + 25*v - 62. Let h be a(20). Let d = 44 - h. Determine g(d).
-6
Let p be 0 - ((-8)/2 + 2). Let u(l) = -2*l**2 + 7987*l**3 - 2673*l**3 - 2656*l**3 - 2*l - 2657*l**3 + 3. What is u(p)?
-1
Let p(h) = 2*h - 1. Let f(i) be the third derivative of -i**4/12 + 16*i**3/3 - 40*i**2. Let z be f(15). Calculate p(z).
3
Let c(g) = 4*g - 1. Let a(b) = -b + 1. Let h(w) = 3*a(w) + c(w). Suppose -2*m + 26 = 254*d - 257*d, -3*d - 22 = 2*m. Give h(d).
-6
Let y = -773 + 26. Let k be y/(-12) + (-3)/12. Let c = k - 62. Let s(z) = z**3 + z**2 + 10. What is s(c)?
10
Let y(l) = 12*l**2 - 7*l + 6*l**2 + 933 - 22*l**2 - 931 + l**3. Suppose 5 = -2*m + 15. What is y(m)?
-8
Let k(c) = -3*c**2 + 6*c - 2. Let r(y) = -y**2 - 13*y + 2. Let s(l) = 6*l - 1. Let d(f) = 2*r(f) + 5*s(f). Let n(g) = 5*d(g) - 3*k(g). Give n(2).
1
Let a(i) be the first derivative of i**3/3 - 21*i**2/2 - 354*i - 7583. Give a(32).
-2
Suppose -410*h + 527 = -399*h - 111. Suppose -330 = 5*i - w, -w = -5*i + 2*w - 330. Let c = h + i. Let l(z) = z**2 + 6*z - 6. Determine l(c).
10
Let c(z) = z**2 - 4*z + 2*z + 1 + z - z**3. Suppose 13*s + 111 = 15*s - k, -2*k = -5*s + 276. Suppose 2*m = -p - 1, 0 = 3*m + 3*p - 48 + s. Determine c(m).
0
Let z(m) be the first derivative of 43*m**2/2 - 437*m - 4963. Calculate z(10).
-7
Let z(t) = -t**3 - 5*t**2 - 4. Let c(w) = w**3 + 11*w**2 + 7*w - 35. Suppose 9*x - 2*x + 70 = 0. Let i be c(x). What is z(i)?
-4
Let v(c) be the third derivative of c**5/60 - c**4/24 - c**3/2 - c**2. Let o = 782 - 778. Suppose f - 2*y = -8, 5*f = o*y + y - 20. Determine v(f).
-3
Let n(q) be the first derivative of -2*q**2 + 90*q + 3938. Determine n(18).
18
Let n be (-30)/40 - (-1 - (-46)/(-8)). Let b(i) = -n*i**2 + 18*i**2 - 8 - 1 - i**3 - 10*i**2 - 12*i**2. What is b(-10)?
-9
Suppose -78 - 4 = 2*c. Suppose 0 = 39*g - 31*g + 336. Let a = g - c. Let n(x) = -2*x + 1. What is n(a)?
3
Let t(m) be the first derivative of m**4/4 - 5*m**3/3 + m**2 + 4*m - 243. Let u(x) = x**3 + 7*x**2 - 8*x + 3. Let f be u(-8). Give t(f).
-8
Let x(d) = -d**2 - 14*d - 4. Let s(p) = 16*p + 150. Let i be s(25). Let j = i - 560. What is x(j)?
36
Let t be (-10)/4*(10 - 0). Let q = 19 + t. Let x(s) be the second derivative of -s**3/2 - s**2 + 145*s. What is x(q)?
16
Let a = -146 - -154. Suppose -1 = -a*p - 17. Let n(f) = f + 2. What is n(p)?
0
Let j(w) = -2*w**3 + 18*w**2 + 19*w + 7. Let q be -6*39/(-24) + 8/32. Calculate j(q).
-3
Let k(o) = 3*o**2 + 3*o + 3. Let d be 3/(-15) - 556/20. Let u = 33 + d. Suppose u*v - 6 = -4*j + 7*j, 4*j + 8 = -5*v. Calculate k(j).
9
Let u(i) = -i + 11. Suppose -34*j - 383 + 77 = 0. Determine u(j).
20
Let q(l) = -l**3 + 14*l**2 + 13*l + 20. Suppose -12*k - 192 = -18*k. Suppose k*d = 37*d - 75. What is q(d)?
-10
Let b = -131 - -129. Let q(w) = -4 + 4 + 2*w + w**2 + 4 - 5. What is q(b)?
-1
Let w = 235 + -375. Let r = w + 144. Let d(f) = f**2 - 8*f - 4. Let p(i) = -i**2 + 9*i + 5. Let y(m) = -6*d(m) - 5*p(m). Give y(r).
-5
Let r(c) = c**2 - 4*c - 9. Suppose -10*x = -9*x - 3. Suppose 0 = 5*l - 2*f, -6*f + 3*f = x*l. Let k(a) = -a**2 + 7. Let j be k(l). Give r(j).
12
Let h(l) be the third derivative of l**3 + 1/4*l**4 - 141*l**2 + 1/120*l**6 + 0 + 2*l + 1/10*l**5. What is h(-5)?
1
Let w(r) = -31*r - 272*r**2 + 22 + 563*r**2 - 276*r**2. Let v(z) = 7*z**2 - 14*z + 11. Let y(t) = -13*v(t) + 6*w(t). Calculate y(-5).
-16
Let k(f) = f**3 + 34*f**2 - 35*f - 3. Suppose 2610 = -59*j + 545. Calculate k(j).
-3
Let k(a) be the third derivative of -a**6/120 - a**5/60 - a**4/24 - 6856*a**2. Let h be (-2)/(-8) - (-45)/(-20). Calculate k(h).
6
Suppose 0 = -k - 2*t + 171, 0 = 18*k - 23*k + t + 844. Let l(d) = k*d - 9*d**2 - 3 - 180*d + 8*d**2. Determine l(-10).
7
Suppose 0 = 10*b + 5*w - 120, -16 = 4*b - 8*b + 2*w. Let a(r) = -3*r**2 + 30*r - 12. Give a(b).
36
Let q(a) = 4 - 1829*a + 1829*a + a**3 + 3*a**2. Let y be q(-3). Suppose 0*t = -h - t - 4, -3*h = y*t + 10. Let m(v) = -v**2 - 9*v - 7. Determine m(h).
11
Suppose 0 = 2*i + i - 48. Suppose -2*k + 4*j = -i, 4*k - 12 = 2*k + 3*j. Let u(x) = -19*x - 183. Let v(n) = -5*n - 45. Let p(g) = -u(g) + 4*v(g). Give p(k).
3
Let u(t) = t**3 + 20*t**2 - 48*t + 33. Let y be u(-22). Let d(f) = 8*f - 7*f - y + 99. What is d(0)?
-22
Let p(m) = m + 13. Suppose -3*i + 233 + 22 = -5*t, -5*t + 4*i = 260. Let n be (-6 - t/8) + -6. Determine p(n).
7
Suppose 704*p - 707*p - 33 = 0. Let y(m) = -17*m + 0*m**2 + 12 + 40*m - 5*m**2 - m**3 - 4*m**2. Determine y(p).
1
Suppose 11*c - 2581 - 1368 = 0. Let w = c + -361. Let a(j) = -j**2 + 2 + 4*j + 8*j**2 - 3*j**2. Determine a(w).
10
Let v(i) = -i**3 + 3*i**2 + 21*i - 47. Let a be v(5). Let k(f) = 0 + 0*f - 4 + f. Calculate k(a).
4
Let p(x) = 20*x**3 + 21937*x**2 + 2*x + 21943*x**2 - 43881*x**2. Give p(1).
21
Let a = 58 + -33. Let u = -29 + a. Let w(h) = -4*h**3 - 2*h**2 + 5*h - 2. Let k(s) = 3*s**3 + 3*s**2 - 5*s + 2. Let b(r) = u*w(r) - 5*k(r). Determine b(6).
-8
Suppose -2*m + 6*m - 100 = 0. Let x(i) = 18 - m + 0 + i. Determine x(6).
-1
Let r(m) = -5*m**2 - m - 1. Let u = 1 + 6. Let s be -15*1*(-156)/234. Suppose 17*p + u = s*p. What is r(p)?
-5
Let f(d) = -362*d + 1078. Let o be f(3). Let k(q) = q**3 + 9*q**2 + 8*q + 9. What is k(o)?
9
Let b(a) = 3*a + 2. Suppose -5*t = 2*q - 11, 4*q - 2*t + 38 = 24. What is b(q)?
-4
Let x(j) = 8*j - 105. Suppose 0 = -2*l - 6, -14*i + l = -15*i + 12. Determine x(i).
15
Suppose -2*c - 1 = -7. Let r(p) = 0 + 211*p + 4 - 210*p + c. Determine r(-7).
0
Let u(b) = b**3 - 6. Suppose 77 = 35*i - 31 - 32. Determine u(i).
58
Let h(y) = -y + | {
"pile_set_name": "DM Mathematics"
} |
?
4:05 PM
How many minutes are there between 5:38 PM and 3:37 AM?
599
How many minutes are there between 8:55 PM and 7:15 AM?
620
What is 387 minutes after 2:20 PM?
8:47 PM
How many minutes are there between 7:11 AM and 1:45 PM?
394
What is 624 minutes after 4:02 AM?
2:26 PM
How many minutes are there between 3:10 PM and 1:07 AM?
597
What is 327 minutes before 7:32 AM?
2:05 AM
How many minutes are there between 4:42 AM and 4:22 PM?
700
What is 472 minutes before 11:44 PM?
3:52 PM
What is 432 minutes after 10:32 AM?
5:44 PM
What is 366 minutes after 4:18 PM?
10:24 PM
What is 71 minutes before 8:14 AM?
7:03 AM
How many minutes are there between 8:45 PM and 1:50 AM?
305
How many minutes are there between 9:56 AM and 9:40 PM?
704
How many minutes are there between 11:17 PM and 3:51 AM?
274
What is 530 minutes before 7:53 PM?
11:03 AM
How many minutes are there between 2:16 PM and 1:47 AM?
691
How many minutes are there between 8:21 PM and 10:02 PM?
101
How many minutes are there between 1:11 PM and 11:10 PM?
599
How many minutes are there between 6:54 AM and 6:41 PM?
707
What is 328 minutes before 8:30 AM?
3:02 AM
How many minutes are there between 3:04 AM and 11:54 AM?
530
What is 398 minutes before 1:06 AM?
6:28 PM
What is 12 minutes before 9:53 PM?
9:41 PM
How many minutes are there between 4:14 AM and 6:20 AM?
126
What is 586 minutes before 6:48 AM?
9:02 PM
How many minutes are there between 9:09 PM and 1:34 AM?
265
How many minutes are there between 10:32 PM and 10:17 AM?
705
What is 376 minutes before 1:14 AM?
6:58 PM
How many minutes are there between 3:43 PM and 2:29 AM?
646
What is 707 minutes after 8:09 AM?
7:56 PM
What is 557 minutes before 3:38 PM?
6:21 AM
What is 612 minutes before 6:22 AM?
8:10 PM
What is 236 minutes before 3:52 AM?
11:56 PM
How many minutes are there between 1:41 PM and 2:25 PM?
44
What is 321 minutes after 1:11 AM?
6:32 AM
What is 470 minutes before 12:44 AM?
4:54 PM
What is 385 minutes after 7:22 AM?
1:47 PM
What is 289 minutes before 3:27 PM?
10:38 AM
What is 690 minutes after 12:22 AM?
11:52 AM
What is 132 minutes after 2:32 PM?
4:44 PM
How many minutes are there between 3:25 PM and 12:32 AM?
547
What is 570 minutes before 10:22 PM?
12:52 PM
What is 141 minutes after 12:18 AM?
2:39 AM
What is 585 minutes after 1:15 PM?
11:00 PM
How many minutes are there between 10:17 PM and 6:28 AM?
491
What is 470 minutes after 5:52 PM?
1:42 AM
What is 305 minutes before 10:06 PM?
5:01 PM
How many minutes are there between 6:56 AM and 11:52 AM?
296
How many minutes are there between 2:05 AM and 8:39 AM?
394
What is 466 minutes after 12:43 PM?
8:29 PM
What is 309 minutes after 11:52 AM?
5:01 PM
What is 304 minutes after 8:03 AM?
1:07 PM
What is 504 minutes after 4:19 AM?
12:43 PM
What is 636 minutes after 2:16 PM?
12:52 AM
How many minutes are there between 2:51 PM and 12:04 AM?
553
How many minutes are there between 4:29 PM and 11:38 PM?
429
How many minutes are there between 5:43 PM and 6:59 PM?
76
How many minutes are there between 8:53 PM and 12:16 AM?
203
How many minutes are there between 7:16 PM and 7:26 PM?
10
How many minutes are there between 11:17 AM and 4:08 PM?
291
What is 355 minutes before 4:35 AM?
10:40 PM
How many minutes are there between 10:31 PM and 6:23 AM?
472
What is 524 minutes after 8:11 AM?
4:55 PM
How many minutes are there between 3:39 PM and 3:53 PM?
14
What is 687 minutes before 4:30 AM?
5:03 PM
What is 416 minutes after 2:14 PM?
9:10 PM
How many minutes are there between 4:05 AM and 1:21 PM?
556
What is 51 minutes before 6:48 AM?
5:57 AM
What is 470 minutes before 5:40 AM?
9:50 PM
What is 253 minutes before 4:07 PM?
11:54 AM
How many minutes are there between 5:35 PM and 2:33 AM?
538
How many minutes are there between 12:32 AM and 12:11 PM?
699
How many minutes are there between 6:50 PM and 11:02 PM?
252
What is 581 minutes before 6:49 AM?
9:08 PM
What is 605 minutes before 12:51 PM?
2:46 AM
How many minutes are there between 3:40 AM and 5:41 AM?
121
What is 667 minutes before 2:41 AM?
3:34 PM
How many minutes are there between 5:31 AM and 5:33 AM?
2
What is 194 minutes after 3:13 PM?
6:27 PM
How many minutes are there between 10:58 PM and 12:30 AM?
92
What is 327 minutes after 3:50 PM?
9:17 PM
What is 399 minutes after 10:55 AM?
5:34 PM
How many minutes are there between 7:51 AM and 6:55 PM?
664
What is 405 minutes after 3:26 AM?
10:11 AM
What is 588 minutes before 9:13 AM?
11:25 PM
What is 687 minutes after 10:22 AM?
9:49 PM
How many minutes are there between 11:16 PM and 6:35 AM?
439
What is 715 minutes before 6:00 AM?
6:05 PM
What is 624 minutes before 9:37 AM?
11:13 PM
What is 223 minutes before 8:37 PM?
4:54 PM
What is 587 minutes after 10:15 AM?
8:02 PM
What is 130 minutes before 8:08 PM?
5:58 PM
How many minutes are there between 7:02 AM and 4:34 PM?
572
How many minutes are there between 7:06 PM and 7:48 PM?
42
What is 344 minutes before 10:15 AM?
4:31 AM
What is 611 minutes after 4:34 PM?
2:45 AM
What is 27 minutes before 10:45 PM?
10:18 PM
How many minutes are there between 2:44 AM and 6:48 AM?
244
What is 107 minutes before 10:51 PM?
9:04 PM
What is 181 minutes after 7:54 AM?
10:55 AM
What is 264 minutes before 1:36 PM?
9:12 AM
What is 705 minutes after 1:53 PM?
1:38 AM
What is 470 minutes before 3:32 PM?
7:42 AM
What is 597 minutes before 3:12 AM?
5:15 PM
What is 117 minutes before 1:38 AM?
11:41 PM
What is 185 minutes after 6:59 AM?
10:04 AM
What is 264 minutes before 10:31 AM?
6:07 AM
What is 647 minutes before 8:10 AM?
9:23 PM
What is 360 minutes before 3:30 PM?
9:30 AM
What is 599 minutes before 8:51 PM?
10:52 AM
What is 595 minutes after 8:07 AM?
6:02 PM
What is 211 minutes after 3:49 AM?
7:20 AM
How many minutes are there between 4:52 AM and 7:25 AM?
153
What is 366 minutes after 10:24 AM?
4:30 PM
What is 445 minutes after 1:22 PM?
8:47 PM
What is 402 minutes before 6:22 AM?
11:40 PM
How many minutes are there between 5:54 AM and 7:10 AM?
76
How many minutes are there between 4:33 PM and 6:20 PM?
107
How many minutes are there between 9:45 AM and 3:59 PM?
374
What is 582 minutes before 12:06 AM?
2:24 PM
What is 410 minutes after 1:38 PM?
8:28 PM
How many minutes are there between 8:47 AM and 8:59 AM?
12
What is 56 minutes after 5:15 PM?
6:11 PM
What is 328 minutes before 3:02 AM?
9:34 PM
How many minutes are there between 3:48 PM and 1:39 AM?
591
What is 139 minutes after 9:30 PM?
11:49 PM
How many minutes are there between 6:24 AM and 7:23 AM?
59
How many minutes are there between 11:28 PM and 3:38 AM?
250
What is 371 minutes after 8:11 PM?
2:22 AM
How many minutes are there between 3:33 PM and 10:45 PM?
432
How many minutes are there between 3:59 AM and 2:16 PM?
617
What is 432 minutes after 5:44 PM?
12:56 AM
How many minutes are there between 7:47 PM and 5:31 AM?
584
How many minutes are there between 5:55 AM and 12:45 PM?
410
How many minutes are there between 6:56 AM and 2:44 PM?
468
How many minutes are there between 2:03 PM and 7:47 PM?
344
What is 630 minutes after 5:10 AM?
3:40 PM
How many minutes are there between 9:14 PM and 9:50 PM?
36
What is 587 minutes before 4:06 PM?
6:19 AM
What is 244 minutes before 4:19 PM?
12:15 PM
What is 328 minutes before 2:17 PM?
8:49 AM
How many minutes are there between 3:07 PM and 2:27 AM?
680
How many minutes are there between 12:57 AM and 7:11 AM?
374
What is 235 minutes after 7:44 AM?
11:39 AM
What is 589 minutes after 1:10 AM?
10:59 AM
What is 525 minutes before 4:43 PM?
7:58 AM
How many minutes are there between 8:13 PM and 9:05 PM?
52
How many minutes are there between 7:05 AM and 11:35 AM?
270
How many minutes are there between 10:21 AM and 9:16 PM?
655
How many minutes are there between 3:01 PM and 12:08 AM?
547
What is 570 minutes after 11:03 PM?
8:33 AM
How many minutes are there between 5:55 PM and 5:50 AM?
715
How many minutes are there between 12:11 AM and 4:26 AM?
255
What is 564 minutes before 4:44 PM?
7:20 AM
What is 697 minutes after 9:33 PM?
9:10 AM
What is 652 minutes after 2:07 PM?
12:59 AM
What is 76 minutes after 9:47 AM?
11:03 AM
How many minutes are there between 9:37 PM and 9:17 AM?
700
What is 700 minutes after 1:47 PM?
1:27 AM
What is 493 minutes after 4:22 AM?
12:35 PM
How many minutes are there between | {
"pile_set_name": "DM Mathematics"
} |
488 (base 10) to base 14
-70d036
Convert -2310002 (base 6) to base 15.
-24e28
Convert -213335301 (base 6) to base 14.
-711833
Convert 14d2e (base 16) to base 11.
590a0
What is 94b3b1 (base 13) in base 2?
1101010001110001111011
-25aa (base 11) to base 3
-11122110
Convert 3142043 (base 5) to base 9.
80346
What is -98839 (base 11) in base 6?
-3024003
Convert 627440 (base 9) to base 12.
15b953
-21023303 (base 5) to base 14
-47386
112572 (base 9) to base 15
15028
Convert -4228495 (base 10) to base 4.
-100020112033
-346250 (base 11) to base 8
-2062160
-6e6da (base 15) to base 4
-1112010223
440844 (base 16) to base 9
8345000
What is -f1317 (base 16) in base 2?
-11110001001100010111
Convert 24abd (base 14) to base 16.
15f4f
What is 75d11 (base 14) in base 16?
45a0b
What is 6030355 (base 7) in base 12?
2a4944
Convert -10326a (base 12) to base 5.
-31120021
Convert 2320022020 (base 4) to base 6.
24100104
-1303310032 (base 5) to base 15
-42cbb2
413302201 (base 5) to base 6
100213144
Convert d1954 (base 16) to base 7.
10203530
What is 23ab0d (base 16) in base 10?
2337549
2187133 (base 10) to base 6
114513341
322040143 (base 5) to base 3
2120012012121
What is -138059 (base 11) in base 16?
-34a86
What is 864888 (base 11) in base 2?
101010001100011110010
What is -14382a9 (base 11) in base 7?
-30000125
What is -10011211110121 (base 3) in base 4?
-12130131121
What is -54d74 (base 15) in base 16?
-41d5b
Convert 2c136a (base 14) to base 4.
11313333202
What is 130958 (base 12) in base 15?
6286e
22922 (base 14) to base 9
137340
What is -715232 (base 8) in base 10?
-236186
Convert -621153 (base 9) to base 5.
-43241044
Convert 1101101220 (base 3) to base 2.
110101010000011
21111011000000 (base 3) to base 4
33023122002
Convert -32113142 (base 6) to base 9.
-1686368
-41a668 (base 11) to base 6
-22231311
What is -33345511 (base 6) in base 16?
-f6793
100221110 (base 5) to base 13
10c38c
3325b4 (base 12) to base 3
1112022020201
-15301224 (base 6) to base 15
-a90ed
523251401 (base 6) to base 12
3079b61
What is 524243031 (base 6) in base 16?
8bdc9b
-10166642 (base 9) to base 7
-56350502
What is 1243c58 (base 13) in base 6?
322001215
What is 14bac5 (base 13) in base 8?
1747103
Convert 1370a8 (base 13) to base 12.
1a9525
What is -101323 (base 9) in base 5?
-3410132
What is 1160727 (base 9) in base 15?
c6bed
What is -55277005 (base 8) in base 6?
-1102534033
Convert -10101000100111011 (base 2) to base 3.
-11101102110
What is -410303 (base 11) in base 4?
-2200330023
What is -1201441431 (base 5) in base 6?
-135134013
-6233 (base 11) to base 14
-3024
What is -10000101001001101 (base 2) in base 7?
-402520
Convert 10001011100000011111 (base 2) to base 6.
20125251
What is 155376 (base 13) in base 8?
2002567
5b176 (base 15) to base 3
112202121110
What is 10100110100110 (base 2) in base 4?
2212212
-691861 (base 13) to base 8
-11374163
Convert 1495983 (base 12) to base 10.
4177971
-68021 (base 10) to base 11
-47118
-21b3 (base 12) to base 7
-13614
311a3b (base 15) to base 9
4347212
Convert 2035056 (base 9) to base 2.
100001001001100110101
12333230122 (base 4) to base 11
10427aa
1b262 (base 15) to base 3
11111010002
-3300414223 (base 5) to base 13
-15c8804
-10132202330 (base 4) to base 12
-487278
What is 257572 (base 8) in base 13?
31c55
What is -100001010100111000011100 (base 2) in base 6?
-511125432
Convert 16a5346 (base 12) to base 7.
54624252
Convert 332418 (base 14) to base 11.
a855a6
Convert 20111111121 (base 3) to base 6.
2424154
What is 14002223 (base 7) in base 3?
2102210022202
-1020011302321 (base 4) to base 8
-110056271
Convert 1652044 (base 7) to base 3.
102202011111
What is -1212431024 (base 5) in base 4?
-22321310120
What is 161622 (base 11) in base 13?
8a310
What is -10011101011000011010 (base 2) in base 4?
-2131120122
What is -8608021 (base 11) in base 8?
-71624631
Convert 320c5 (base 14) to base 7.
1012335
-33322211203 (base 4) to base 13
-b31022
What is -bb2236 (base 12) in base 8?
-13246712
What is -11000210022 (base 3) in base 10?
-79307
Convert -34aa8 (base 14) to base 4.
-133111030
Convert 1010121120212 (base 3) to base 15.
bd822
Convert a637a16 (base 11) to base 7.
315154011
Convert 2037118 (base 9) to base 5.
234302031
2155242 (base 6) to base 10
108746
Convert -3a2b4 (base 15) to base 14.
-4bc32
Convert -301570 (base 9) to base 7.
-1341645
What is 1849656 (base 11) in base 3?
12220002100001
What is -545e1 (base 15) in base 6?
-5424321
What is 31523140 (base 6) in base 16?
e2b84
5405357 (base 9) to base 12
b78851
10e566 (base 16) to base 3
2002020221012
What is 176060 (base 8) in base 12?
31440
6a069 (base 15) to base 16
526bf
-1100110101001001010 (base 2) to base 16
-66a4a
Convert 6357533 (base 8) to base 2.
110011101111101011011
What is -1c0732 (base 16) in base 3?
-10110022200111
Convert -202012112002 (base 3) to base 12.
-172185
10c046 (base 13) to base 6
12305135
What is -67499 (base 13) in base 9?
-315235
Convert -21b730 (base 12) to base 14.
-10032c
What is 1010212331 (base 5) in base 16?
1f1ac2
What is -33122121 (base 4) in base 2?
-1111011010011001
-362454 (base 8) to base 5
-12433304
116475 (base 9) to base 5
4223001
259524a (base 12) to base 5
3344133423
Convert -132012321201 (base 4) to base 16.
-786e61
Convert 72807 (base 12) to base 10.
149767
4fe4c0 (base 16) to base 11
2a568a3
-120200222211 (base 3) to base 11
-1a1252
11a240 (base 13) to base 3
210110011120
Convert -350410 (base 6) to base 4.
-13110012
What is 124bd1 (base 14) in base 10?
627971
33a662b (base 12) to base 8
45665003
What is -430866 (base 10) in base 14?
-b3042
Convert 430144110 (base 6) to base 9.
15221016
34132345 (base 7) to base 2
1011010100001001010101
What is 44177427 (base 8) in base 14?
1395011
What is ac304 (base 14) in base 2?
1100101111110010000
15143 (base 6) to base 11
1918
Convert 5c4509 (base 16) to base 13.
13394c9
Convert -865db (base 16) to base 7.
-4451362
142981 (base 10) to base 2
100010111010000101
1247575 (base 11) to base 15
2ca9db
What is 104511054 (base 6) in base 5?
442003131
-25024 (base 10) to base 2
-110000111000000
Convert -528676 (base 9) to base 13.
-b035b
What is -12321422404 (base 5) in base 15?
-14bd3be
-402d (base 16) to base 3
-211112111
Convert -9b8a64 (base 13) to base 2.
-1110000001010000010100
What is -80e (base 15) in base 9?
-2435
Convert -2b5b203 (base 12) to base 5.
-4230111344
What is -1332423130 (base 5) in base 7?
-40640334
-21205545 (base 6) to base 12
-2608b5
-31220051 (base 6) to base 8
-3346677
Convert -1b799a (base 16) to base 7.
-21206366
1a0887 (base 12) to base 7
3613444
Convert 2130266 (base 9) to base 7.
12463653
What is 10a9325 (base 13) in base 16?
4e51ba
What is 18b22d (base 16) in base 12?
660751
What is -d4052b (base 16) in base 13?
-2b56689
-612703 (base 13) to base 9
-4226661
What is 49c608 (base 13) in base 11?
aa9594
What is -1351c9 (base 13) in base 7?
-3660202
294807 (base 10) to base 14
79619
Convert -53025034 (base 7) to base 5.
-2121232304
Convert 2121211110202 (base 3) to base 6.
45514332
Convert 556550 (base 7) to base 10.
98378
What is -112430 (base 6) in base 14?
-3746
1c4766 (base 15) to base 8
5213236
What is -157684a (base 11) in base 5?
-1142011221
1001000 (base 5) to base 10
15750
2554464 (base 7) to base 16
51498
What is -146080 (base 12) in base 16?
-538e0
What is 323301100 (base 5) in base 9?
2540181
Convert -146367 (base 11) to base 13.
-7ca44
Convert 34545441 (base 6) to base 9.
2013137
214948 (base 10) to base 11
137548
Convert 104686 (base 14) to base 9.
1027525
-1335108 (base 10) to base 4
-11011331010
What is 10241313333 (base 5) in base 4?
221201211130
What is -56a5 (base 12) in base 14?
-371b
What is -241145 (base 11) in base 15?
-7837c
-346d83 (base 15) to base 16
-2634f3
-5fcfc (base 16) to base 14
-a303a
What is -1884657 (base 9) in base 16?
-102bbf
Convert 5672224 (base 9) to base 14.
598b6c
What is -140520150 (base 6) in base 4?
-22311211002
1756 (base 9) to base 5
20342
Convert 192782 (base 11) to base 10.
296419
What is -5626221 (base 7) in base 9?
-1270730
Convert a5d56 (base 16) to base 10.
679254
What is 11000100000011011 (base 2) in base 14?
2881d
What is -12166382 (base 9) in base 4?
-112230120131
-1823dd (base 15) to base 2
-100011110001000101000
674677 (base 8) to base 15
4 | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of 260*u**5 + 34*u**2.
15600*u**2
What is the second derivative of 136*a**3 + 531*a wrt a?
816*a
What is the first derivative of -335*b**3*g - 506*b**3 + 2*b**2 wrt g?
-335*b**3
What is the second derivative of 2*v**3 + 38*v**2 - 581*v?
12*v + 76
What is the third derivative of 256*z**6 + 64*z**2 wrt z?
30720*z**3
What is the third derivative of -1174*r**3 + 2514*r**2?
-7044
What is the second derivative of k*l**2*n*p**2 + 2*k*l**2*p - k*l + 7*k*n*p**2 + 10*k*n*p + 20*l**2*p**2 + 4*n wrt p?
2*k*l**2*n + 14*k*n + 40*l**2
Find the first derivative of -4*s**4 + 105*s**3 - 3865.
-16*s**3 + 315*s**2
Find the second derivative of 2*j**4 + 1438*j**3 - 5*j**2 + 1853*j + 1 wrt j.
24*j**2 + 8628*j - 10
What is the derivative of 1224*l + 1457?
1224
Find the first derivative of 18*n**2*t - 19*n**2 + 5360*t - 1 wrt n.
36*n*t - 38*n
Find the third derivative of 4*z**6 - z**5 - 1045*z**4 + 14149*z**2 wrt z.
480*z**3 - 60*z**2 - 25080*z
What is the third derivative of -10*f*x**3 + f*x**2 + 36*x**5 - 13*x**2 + 10*x wrt x?
-60*f + 2160*x**2
Differentiate 183*q**3 - 47.
549*q**2
What is the second derivative of x**4 - 1309*x**3 - 853*x wrt x?
12*x**2 - 7854*x
What is the second derivative of -428*u**5 - 5*u**3 - u**2 + 9*u + 150?
-8560*u**3 - 30*u - 2
What is the third derivative of -617*o**4 + 1195*o**2?
-14808*o
What is the derivative of 7*d**2*t**2 - 3*d*t**2 - 2*d*t - 1012*t**2 wrt d?
14*d*t**2 - 3*t**2 - 2*t
What is the third derivative of 3*j*t**3 + 160*j - 204*t**4 + 3*t**2 wrt t?
18*j - 4896*t
What is the second derivative of -246*k**5 + k**2*q**2 - 13*k**2*q - 2*k*q**2 - 2*k*q - 1092*k wrt k?
-4920*k**3 + 2*q**2 - 26*q
Find the third derivative of -11*k*m**4 + 2*k*m**3 - 2*k*m**2 + 55*k - 2*m**4 + 5*m**2 wrt m.
-264*k*m + 12*k - 48*m
What is the derivative of -22*u**3 + 66*u**2 + 21644 wrt u?
-66*u**2 + 132*u
What is the first derivative of -2*c*r**2*s**3 - 6572*c*s**3 - 9*r**2*s + 7*r*s**3 + 16*r*s**2 - r wrt c?
-2*r**2*s**3 - 6572*s**3
Differentiate 2*a*r**2 - 2*a*r + 46*a - r**2 + r + 93 wrt a.
2*r**2 - 2*r + 46
Find the third derivative of 20*n**4*w**2 - 97*n**4*w - 2*n**3 + 52*n**2*w**2 + 4*n*w**2 + 1 wrt n.
480*n*w**2 - 2328*n*w - 12
What is the derivative of 853*a**2 + 1316 wrt a?
1706*a
Find the second derivative of -219*t**4 + 188*t - 2 wrt t.
-2628*t**2
What is the second derivative of -939*n**2 + 57*n + 2?
-1878
What is the derivative of 425*m**4 - 13*m**2 + 5574 wrt m?
1700*m**3 - 26*m
What is the second derivative of -21*f**5*l**3 - 9*f**5*l - 16*f*l**3 + f*l**2 - 4*f*l wrt f?
-420*f**3*l**3 - 180*f**3*l
Find the second derivative of -2*b**2*o**2*z**2 - 16*b**2*o**2 + b**2*o*z - 3*b*z - 3*o*z - 2*z**2 wrt o.
-4*b**2*z**2 - 32*b**2
What is the second derivative of 5*i**2*y**5 + 66*i**2*y - 2*y**5 - 6*y**3 wrt y?
100*i**2*y**3 - 40*y**3 - 36*y
Find the first derivative of -12*c**2*o - 195*c*o + 5551*o wrt c.
-24*c*o - 195*o
Find the third derivative of -43*r*x**4 - r*x**2 - 2021*r + 3*x**5 + x**3 wrt x.
-1032*r*x + 180*x**2 + 6
What is the third derivative of 520*f**6 - 1565*f**2?
62400*f**3
Find the second derivative of -8*d**3*q**2 - 4*d**2*q**2 + 2*d**2*q*u - 3*d*q**2 - 2*q**2*u + 6*q**2 wrt d.
-48*d*q**2 - 8*q**2 + 4*q*u
What is the second derivative of 10388*h*p**4 - 4*h*p + 985*p wrt p?
124656*h*p**2
Find the second derivative of 16*z**5 + 73*z**4 + 1542*z.
320*z**3 + 876*z**2
Find the third derivative of 2*p**6 + 15*p**4 + 55*p**3 - 1987*p**2.
240*p**3 + 360*p + 330
Differentiate 504*n + 519 with respect to n.
504
Differentiate f*m**2*s + 2*f*s - 19*m**2*s**2 + 2*m**2 + 60*s**2 with respect to m.
2*f*m*s - 38*m*s**2 + 4*m
Find the first derivative of 4140*s*t*v + 2*s + 6*t*v - 4*t + v - 1 wrt s.
4140*t*v + 2
Find the second derivative of 474*a**5 + 2*a**4 - 152*a wrt a.
9480*a**3 + 24*a**2
Find the second derivative of -5295*w**3 + 880*w - 1 wrt w.
-31770*w
What is the first derivative of 9*n**4*t - 2*n**3*z - 39*n**2*t + 3*t*z - 39*t wrt n?
36*n**3*t - 6*n**2*z - 78*n*t
Find the third derivative of n*q**4 + 9*n*q**3 + n*q**2*t**2 - 3*n*q**2*t + q**3*t**2 + 167*t**2 wrt q.
24*n*q + 54*n + 6*t**2
Find the second derivative of -4415*x**2 + 31*x + 46.
-8830
Find the second derivative of -6727*o**2 + 13226*o wrt o.
-13454
What is the second derivative of -82*a*l**4 + 165*a*l + 3*a + 2*l**3 - l wrt l?
-984*a*l**2 + 12*l
Find the third derivative of 6014*a**3 - 6138*a**2.
36084
What is the second derivative of -2*u**5 + 1111*u**4 - 1120*u wrt u?
-40*u**3 + 13332*u**2
Differentiate 4063*b**2 + b*q**3 + 12083*q**3 wrt b.
8126*b + q**3
Find the third derivative of 5*c**6*o - 24*c**4*o - 3*c**3*o**2 - 4*c**2*o**2 + 77*c**2 wrt c.
600*c**3*o - 576*c*o - 18*o**2
Find the second derivative of -29*y**5 + 80*y**2 + 2701*y - 3.
-580*y**3 + 160
Find the second derivative of 173*b**3*m*t**2 - 4*b**3*m*t - 183*b**3*t - b*m - b*t**2 wrt t.
346*b**3*m - 2*b
Find the first derivative of 4627*k*v - 47*v - 5 wrt k.
4627*v
Find the second derivative of -1739*t**5 + 1358*t - 1.
-34780*t**3
Find the third derivative of 221*a**3*q**3 + 2*a**2*q**3 + a*q**3 + 19*a*q**2 wrt a.
1326*q**3
Find the second derivative of 10*z**4 + 5*z - 2.
120*z**2
What is the second derivative of r**4 + 23*r**3 + 447*r wrt r?
12*r**2 + 138*r
What is the derivative of 18*a**2*t**2 - 8*a**2*t*y**2 - 127*a**2*y**2 + 2 wrt t?
36*a**2*t - 8*a**2*y**2
Differentiate -12462*k + 421 wrt k.
-12462
Differentiate -136*c*n + c + 12*n - 5 with respect to c.
-136*n + 1
What is the derivative of 2*g*h**3*m + 6*g*h*m**3 + 3*h**3*m**3 + 192*m**3 wrt g?
2*h**3*m + 6*h*m**3
Find the third derivative of -293*j**3*q**5 - 2*j**3*q**4 - 201*j**3*q**2 + j**3 wrt q.
-17580*j**3*q**2 - 48*j**3*q
What is the second derivative of 2454*m**2*o**2*y + 8*m**2*y - 2*m**2 + o**2*y - 79*o wrt o?
4908*m**2*y + 2*y
Find the first derivative of 2*q**3 - 6*q**2 + 750 wrt q.
6*q**2 - 12*q
Differentiate 43*u**4 + 3*u**3 + 198 with respect to u.
172*u**3 + 9*u**2
Differentiate 2*p**2 - 859*p + 744 with respect to p.
4*p - 859
What is the third derivative of l**5 + 156*l**3 - 1286*l**2 wrt l?
60*l**2 + 936
What is the second derivative of 1611*s**3 + 695*s + 2?
9666*s
What is the second derivative of 16*d*i**3 + d*i**2 - 6*d*i + 13*d - i**3 + 22*i**2 wrt i?
96*d*i + 2*d - 6*i + 44
Find the first derivative of -13*q**4 - 138*q**3 + 6714 wrt q.
-52*q**3 - 414*q**2
What is the third derivative of 44*a**4*k**3 - 3*a**4 + a**3*k**3 + 4*a**2*k**3 - 162*a*k**2 wrt a?
1056*a*k**3 - 72*a + 6*k**3
Find the third derivative of 2041*z**5 - 4512*z**2 wrt z.
122460*z**2
Find the second derivative of -8*w**4 - 158*w**3 + 9562*w.
-96*w**2 - 948*w
What is the derivative of 12*h**2 - 36*h - 811?
24*h - 36
Find the second derivative of 2006*m**2 + 74*m + 7 wrt m.
4012
Find the second derivative of -1230*k**5 - k + 365.
-24600*k**3
What is the second derivative of -4*d**3*g**4*x - 9*d**3*g + 2*d**2*g*x + 2*d*g*x + 3*g**4*x wrt g?
-48*d**3*g**2*x + 36*g**2*x
Find the third derivative of 15*d**6*o - 220*d**5*o**3 + d**2*o + 10*o**3 - 15 wrt d.
1800*d**3*o - 13200*d**2*o**3
Find the second derivative of -7590*b**2 - 6994*b wrt b.
-15180
Find the first derivative of -187*w + 2693.
-187
Find the third derivative of 428*g**2*x**5 + 224*g**2*x**2 - 2*x**3 wrt x.
25680*g**2*x**2 - 12
Find the second derivative of 7897*l**2 - 578*l + 4 wrt l.
15794
What is the second derivative of -2*j**4 - 3847*j**2 - 18*j + 248 wrt j?
-24*j**2 - 7694
Find the first derivative of -7496*g - 21391 wrt g.
-7496
What is the second derivative of -38*l**2*q**2*s**3 - 5*l**2*q - 9*l*q**2*s**3 + l*q**2*s - 7*l*s**3 - 2*l*s wrt l?
-76*q**2*s**3 - 10*q
Differentiate -b**2*k*q**2 - 2*b**2*k - 83*b**2*o*q**2 - b**2*q**2 + 12*b*k*o wrt k.
-b**2*q**2 - 2*b**2 + 12*b*o
Find the second derivative of -16546*s**5*z - 5*s - 52*z wrt s.
-330920*s**3*z
What is the second derivative of 6*d**2*p**3 + d**2 + 2*d*p**5 + 12*d*p wrt p?
36*d**2*p + 40*d*p**3
Find the first derivative of -2*t**3 - 1187*t**2 + 1100 wrt t.
-6*t**2 - 2374*t
Find the second derivative of 7096*w**4 - 3301*w wrt w.
85152*w**2
Find the first derivative of 17*j*m**4 + 253*j*m**3 + 2274*j - 3 wrt m.
68*j*m**3 + 759*j*m**2
Differentiate -8*i**3 + 12*i*r*t + 17*i*t - r*t + 14*r + 43*t with respect to i.
-24*i* | {
"pile_set_name": "DM Mathematics"
} |
2*c + 6*c**3 - 2*c - 4*c**3. Calculate the remainder when 155 is divided by m(6).
11
Let l = 1086 + -1033. What is the remainder when 900 is divided by l?
52
Suppose -5183 + 821 = -2*w. What is the remainder when w is divided by 78?
75
Let y(u) = -u**3 + 8*u**2 + 7*u + 20. Let o(w) = w + 10. What is the remainder when o(-5) is divided by y(9)?
1
Let m be 2018/10 - (-8)/40. Suppose -m = -x - 149. Calculate the remainder when x is divided by 12.
5
Suppose 2*b - 60 = -4*m, -5*m - 2*b + 6*b = -49. Suppose -16*g + 51 = -m*g. Calculate the remainder when g is divided by 9.
8
Let o(y) = -y**2 - 14*y + 1200. Let u(f) = 5*f**3 + 2*f**2 - 2. Calculate the remainder when u(2) is divided by o(-42).
22
Suppose -2*p + 10*p - 232 = 0. What is the remainder when 39 is divided by p?
10
Suppose 3 = r + 2*f, -f = 1 - 2. What is the remainder when ((-40)/(-35))/(r/7) is divided by 4?
0
Let h = -68 + 110. What is the remainder when 261 is divided by h?
9
Suppose -60 = y + 2*y. Let h be 2/4*(2 - y). Let s = 10 + h. Calculate the remainder when s is divided by 12.
9
Suppose 3*t + 0 = -6. What is the remainder when (107 - t)/((-2 - 1) + 4) is divided by 22?
21
Suppose -2*t - 5*a + 121 = 19, -2*a = 5*t - 255. Calculate the remainder when 144 is divided by t.
42
Let r(w) = 9*w**2 - 6*w + 5. What is the remainder when 47 is divided by r(1)?
7
Let w be 4*(-3)/4*-3. Suppose 15 = 2*k - 2*h - w, -2*h + 2 = 0. What is the remainder when k is divided by 5?
3
Let q = 224 - 63. Calculate the remainder when q is divided by 59.
43
Suppose -3*h = 2*h + 4*v - 28, -2*v - 12 = -4*h. Suppose h*o = -5*i + 32 + 82, 0 = 2*o + 3*i - 56. What is the remainder when o is divided by 11?
9
Suppose 5*s - 3*m - 192 = 0, -s - 3*s + 161 = 5*m. Suppose 14*a + 9*a = 161. What is the remainder when s is divided by a?
4
Let m(g) = 12*g + 4. Let d be m(-2). Let v = d + 63. Calculate the remainder when v is divided by 9.
7
Suppose 5*o = -4*q + 154, -5*q - 190 = -5*o - 0*q. Suppose -o - 18 = -4*h. What is the remainder when h is divided by 15/(-12)*2*-2?
3
Let l be 17*12/16*4. What is the remainder when (-10)/(-20) - l/(-2) is divided by -5 + (2 - -7) - -5*1?
8
Let x(j) = -j**2 + 17. Let q be 8*(1/2)/1. Suppose -q*r = -277 + 13. What is the remainder when r is divided by x(0)?
15
Let f(y) = y + 241. Let s be f(0). Suppose 4*p - s = -z, 2*p - 5*z - 152 = -p. Calculate the remainder when p is divided by 15.
14
Suppose -5*u = -46 - 79. Let x = -20 + u. Suppose x*i + 3 = 53. What is the remainder when i is divided by 6?
4
Suppose -18*n = -44698 - 4874. What is the remainder when n is divided by 106?
104
Let y = 22 - 17. Let j(c) = c**3 - 8*c + 6*c**2 + 7*c**2 - 9 + 2*c**2 - y*c**2. What is the remainder when j(-10) is divided by 18?
17
Let j = -256 - -272. Calculate the remainder when 56 is divided by j.
8
Suppose 0*r - 6*r = -12. Suppose -4*n = -3*a + 74, 3*n - r*n = 3*a - 59. What is the remainder when a is divided by 5?
3
Suppose -11*c + 826 = 320. Calculate the remainder when c is divided by 13.
7
Let m = 4 + -4. Let h = 55 + -53. What is the remainder when 6/(2 + -1 + m) is divided by h?
0
Calculate the remainder when -60*-4*(-12)/(-80) is divided by 18.
0
Calculate the remainder when (215 + -4 - 3)*1/1 is divided by 54.
46
Let a = -22 - -50. What is the remainder when 58 is divided by a?
2
Let v be 0 - ((-2)/2 - 1). Suppose -v*h + 5*p = -12, -p - p = h - 15. Let a(d) = 2*d**2 - 17*d + 16. What is the remainder when a(h) is divided by 24?
23
Let u(n) = 31*n - 2. Let j be u(-1). Let w = j - -33. Let l(y) = -y + 3. Calculate the remainder when 11 is divided by l(w).
2
Calculate the remainder when 300 + 4 - (10 - 15) is divided by 39.
36
Let r = -341 - -652. Calculate the remainder when r is divided by 35.
31
Suppose -2*o + 2 = 4*q, -q + 2*o + o + 18 = 0. Suppose -3*h + 5*m + 16 = -0*h, -2*m = q*h - 23. Calculate the remainder when 34 is divided by h.
6
Suppose 0 = -5*n - 2*m + 25, -2 = 3*n - 3*m + 4. Suppose n*o = 9, -2*l - o + 5 + 176 = 0. What is the remainder when l is divided by 13?
11
Calculate the remainder when 86 is divided by (-42)/(-4) + ((-7)/(-14) - 0).
9
Let o(t) = 3*t**3 + 21*t**2 - 10*t - 17. What is the remainder when 59 is divided by o(-7)?
6
Let m(f) = 8*f**2 + 6*f + 10. Calculate the remainder when m(6) is divided by 12.
10
Let j(d) = -22*d - 37. Let l be j(-14). Let c = l - 67. Calculate the remainder when c is divided by 41.
40
Let h(l) = 6*l**2 + 84*l + 164. What is the remainder when 60 is divided by h(-2)?
0
Suppose -3*j + 41 = 4*o, -3*o - 5 = 2*o. Calculate the remainder when 24 is divided by j.
9
Suppose 0*a + 4*a - j - 118 = 0, a + 5*j - 40 = 0. Suppose o + 2*c + 0*c = 20, 5*o - 4*c = a. Calculate the remainder when 14 is divided by o.
4
Let w(d) be the second derivative of d**5/20 + d**4/2 - 5*d**3/3 - 9*d**2/2 + 4*d. Calculate the remainder when 46 is divided by w(-7).
10
Let g = -119 - -165. Suppose g*s - 41*s - 95 = 0. What is the remainder when s is divided by 10?
9
Suppose 0 = 4*q + 2*y - 578, 0*q + q - 158 = -5*y. Suppose 113 = 4*u - q. What is the remainder when u is divided by 22?
20
Let z be (-4)/18 - 1652/18. Suppose -144 = 4*c - 676. Let j = c + z. Calculate the remainder when j is divided by 11.
8
Calculate the remainder when 1368901/1159 + (-2)/19 is divided by 6.
5
Let c be 1/5 + 428/10. Suppose c = o - 30. Let n = o - 30. Calculate the remainder when n is divided by 22.
21
Let l(c) = -2*c + 16. What is the remainder when -1 - -6 - 0 - -4 is divided by l(5)?
3
Let b = -1236 - -1323. Suppose -2*o - 4*i = -4, -o - 3 = -2*i - 21. Calculate the remainder when b is divided by o.
7
Suppose 4*m + 20 = 2*z - 48, 2*m + 102 = 3*z. Calculate the remainder when z is divided by 20.
14
What is the remainder when 68 is divided by (-165)/(-5) + -1 + -2?
8
Let h(x) be the first derivative of -x**4/4 - 3*x**3 + 7*x**2/2 - 8*x + 3. Let a be h(-10). Let t = a - 10. Calculate the remainder when 21 is divided by t.
9
Suppose -4*z = -2*n + 26, -3*n + 37 = -0*z - 4*z. Calculate the remainder when 11 - 4*1*48/(-64) is divided by n.
3
Suppose -42*g + 22 = -3380. What is the remainder when 326 is divided by g?
2
Suppose -10*j = -5*o - 6*j + 134, -4*j + 16 = 0. What is the remainder when 66 is divided by o?
6
Suppose -4*k + 1077 - 825 = 0. Calculate the remainder when 348 is divided by k.
33
Let a(u) = -25*u + 20. Let s be a(-5). Let p = s - 123. Let z(q) = q**3 + 8*q**2 - q + 5. What is the remainder when z(-5) is divided by p?
19
Let j = 8 - -261. Calculate the remainder when j is divided by 10.
9
Let b(d) = d**3 + 14*d**2 + 22*d + 23. What is the remainder when b(-12) is divided by 21?
5
Suppose -127*t - 3350 = -177*t. Let h = -10 + 24. What is the remainder when t is divided by h?
11
Let h = -12 + 27. Let q(w) = -w - 8. Let c be q(-10). Calculate the remainder when 58 + 2/2 - c is divided by h.
12
Let v = 45 + -14. Let k = 357 - 349. What is the remainder when v is divided by k?
7
Suppose 5*k - 5*m = 150, -2*k + 53 = 2*m - 27. Calculate the remainder when 128 is divided by k.
23
Let b(r) = -r**3 - 14*r**2 + 16*r - 5. Let f be b(-15). Let g = 68 + f. Let m = g - 22. Calculate the remainder when 102 is divided by m.
24
Let k(w) = -10*w + 19. Let i be k(-2). Suppose -i*a = -43*a + 116. What is the remainder when a is divided by 15?
14
Suppose 3*x - 33 = n, 0 = 2*x + 5*n - n - 22. Calculate the remainder when x is divided by 0*(-4)/12 + 3.
2
Let m(x) = x**3 - x**2 - 2. Let g be 2*12/(-8)*-1. Calculate the remainder when 29 is divided by m(g).
13
Suppose -156 = -34*v + 33*v + 2*x, -3*v - 3*x + 504 = 0. What is the remainder when v is divided by 31?
9
Let g(k) = -297*k**2 + k + 149*k**2 + 150*k**2 + 52. What is the remainder when g(0) is divided by 14?
10
Suppose 26*n - 1772 = -706. What is the remainder when n is divided by 23?
18
Let i = 22 - -14. Let a = -243 + 263. What is the remainder when i is divided by a?
16
What is the remainder when 6092/6 + (-70)/(-42) is divided by 34?
31
Let c be 4/(-36) + 84/27. Suppose -c*k + 176 = -1. Calculate the remainder when k is divided by 12.
11
Suppose -12*a + 243 = -9*a. Suppose 0 = 7*u - 4*u - a. What is the remainder when u is divided by 7?
6
Suppose -7*g = -1904 - 1771. Calculate the remainder when g is divided by 66.
63
Suppose -2*h - 18 = 4 | {
"pile_set_name": "DM Mathematics"
} |
ctor of 11 and n.
11
Let o(j) = -3*j - 47. Let t be o(-22). What is the greatest common divisor of 171 and t?
19
Let d(y) = 2*y + 224. Let f be d(0). Calculate the highest common divisor of f and 28.
28
Suppose -2 = -2*s - 16. Let h = s - -33. Let f = -13 + h. What is the greatest common divisor of 65 and f?
13
Suppose 36 = 3*t + 3*t. What is the greatest common factor of 33 and t?
3
Suppose 0*s + 2*s = 104. Suppose -4*r = -0*r - s. What is the highest common factor of 117 and r?
13
Let d(t) = 2*t**2 - 3*t - 11. Let k be d(5). Suppose 2*f - 18 = -2*r + k, 5*r - 2*f - 126 = 0. What is the highest common factor of 12 and r?
12
Suppose 4*m - 70 = 30. What is the highest common factor of 175 and m?
25
Let t be (0 + 0 + 1)*6. Let r(m) = 3*m - 6. Let o be r(t). Suppose g + 3*z - 54 = 0, -4*g + 0*g + 250 = -5*z. Calculate the highest common factor of o and g.
12
Suppose -3*i + 10 = -8. Suppose d + 8 - 58 = -2*o, 226 = 4*d - 5*o. What is the highest common divisor of d and i?
6
Let i(b) = -b**2 + 7*b + 1. Let p be i(7). Suppose -2*l + 5 = p. Let r = -2 - -4. What is the highest common factor of r and l?
2
Let k = 37 - -8. Calculate the highest common factor of k and 30.
15
Let d(w) = -w**2 - 6*w - 2. Suppose 0 = 2*p - 3*n + 8, -2*n = 2*p - 0*n + 8. Let a be d(p). Let m be (3/9)/(2/a). What is the greatest common factor of m and 9?
1
Let w = -7 + 11. Suppose -3*g + 21 = -3*s + 5*s, w*g = 3*s - 40. Suppose -x = -3, -5*x + 1 = -q - s. Calculate the greatest common divisor of 10 and q.
2
Suppose -b + 4*g - 5 = -125, -5*g + 500 = 5*b. Calculate the highest common factor of 13 and b.
13
Let k(z) = z**2 - 6*z + 6. Let g be k(5). Let o = g + 4. Suppose -27 = -b + o. What is the highest common divisor of b and 4?
4
Let t be (-112)/(-18) + (-2)/9. Suppose 40 = 2*l - 4*q, 5*l + 2*q = -q + 126. What is the highest common factor of l and t?
6
Suppose 61 = 3*h - 2. What is the greatest common factor of 14 and h?
7
Suppose -57 = -4*a - 1. What is the highest common factor of 70 and a?
14
Let c(p) = 276*p**2 + 4*p - 5. Let g be c(1). What is the greatest common factor of 25 and g?
25
Let n(y) = 15*y**2. Suppose 0 = -0*h + 3*h - 3. Let z be n(h). Calculate the highest common factor of z and 60.
15
Suppose -3*a + 6 = 0, -3*y - 8 = -7*y + 4*a. What is the greatest common factor of 6 and y?
2
Suppose 0 = -c - 3*m + 29, 12*m - 63 = -2*c + 7*m. Calculate the highest common factor of c and 88.
44
Let r(q) = 3*q + 4. Let h be r(0). Calculate the greatest common divisor of 20 and h.
4
Let b be (500/(-8))/(-5) + 1/(-2). What is the highest common divisor of b and 12?
12
Suppose -3 + 2 = a + u, 5*u = -4*a - 5. Suppose a = -5*z - 43 + 98. What is the highest common divisor of z and 55?
11
Let x(c) = c**2 - 11*c + 14. Let w be x(10). Let s = 187 - 130. Let r = s - 29. What is the highest common divisor of w and r?
4
Let r be ((-1)/(-2))/((-7)/(-798)). Suppose -3*v + q + 98 = 2*v, 4 = v + 5*q. Calculate the highest common divisor of r and v.
19
Let g(u) = u + 4. Let n be g(-3). Let a = n + 1. Let i be (-7)/(224/(-88)) - (-2)/8. Calculate the highest common divisor of i and a.
1
Suppose 62 = -3*s + 293. Calculate the greatest common divisor of s and 11.
11
Suppose -3*r = 19 - 1. Let h = r - -7. What is the highest common divisor of 6 and h?
1
Let u = 170 - 90. Let q be 3*3*(-1)/(-9). Let b be (3*q)/((-54)/(-576)). What is the greatest common divisor of b and u?
16
Let l(v) = -v + 135. Let t be l(0). Let y(b) = 8*b - 5. Let j be y(4). Calculate the highest common factor of t and j.
27
Let q(o) be the first derivative of -o**2/2 + 3. Let z be q(-1). Let a be 1 - (3 - z)*-2. What is the highest common factor of 10 and a?
5
Suppose o + 6 = 2, 3*o = -2*a - 2. Calculate the greatest common divisor of 45 and a.
5
Let b(i) be the first derivative of i**2/2 + 8*i + 2. Let o be b(-7). Let r be o/4*(4 - 0). Calculate the highest common factor of r and 1.
1
Suppose 4*i - 2*d - 20 = -0*d, 4*d + 16 = 2*i. Calculate the highest common divisor of 8 and i.
4
Suppose -5*a - 2*w = -5*w - 35, 0 = 2*a - 4*w. Calculate the highest common divisor of 40 and a.
10
Let p(c) = c**2 + 7*c. Let h be p(-9). Let n = -7 - -61. Calculate the greatest common divisor of n and h.
18
Suppose 4*c = 3*c + 2*j, -j - 7 = -4*c. Let u = 23 - 1. Let w be u/(-2*(-1)/2). What is the highest common factor of c and w?
2
Let o be 3/(6/(-13))*-2. Suppose 2*b = -w + 37, -3*b - 119 = -3*w - b. What is the highest common factor of o and w?
13
Let j be (15 + 1)/(9/54). Calculate the highest common factor of 12 and j.
12
Let n(w) = 35*w + 10. Let l be n(6). Calculate the greatest common factor of l and 22.
22
Suppose -4*y + 304 = 48. Suppose y = -0*t + t. Calculate the highest common factor of 8 and t.
8
Suppose -4*z - z - 28 = -r, -2 = -4*r - 2*z. Suppose -5*l = -r*l - 42. Let j = -12 + l. What is the highest common divisor of 45 and j?
9
Suppose -4*z + 19 + 9 = 0. Let k(u) = 17*u**2 - 4*u - 4. Let t be k(-3). Let p = -105 + t. What is the greatest common factor of p and z?
7
Let x(k) = 3*k + 2. Let v be (-8)/(-5) + (-4)/(-10). Let q be x(v). Let l(p) = p**2 + 8*p + 12. Let j be l(-8). What is the highest common divisor of q and j?
4
Let q(p) = -2*p**3 - 4*p**2 - 2*p + 2. Let s be q(-2). Suppose x = 4*x - s. Let w be (-5 + x - 0)*-10. Calculate the greatest common factor of w and 20.
10
Suppose -28 = -7*k + 42. Calculate the highest common factor of k and 70.
10
Let p be (470*1)/2 + -3. Calculate the highest common divisor of p and 29.
29
Suppose -2*j + 115 - 27 = 0. Let u be 6/27*3*6. What is the greatest common divisor of j and u?
4
Let v be (4/(-12))/(2/(-2046)). Calculate the highest common divisor of 31 and v.
31
Let f(t) = -2*t**2 + 23*t - 26. Let l be f(9). Calculate the greatest common factor of l and 133.
19
Let u = 17 + -12. Let r be 3 - (3 + 2 + -7). What is the greatest common factor of u and r?
5
Let a = 80 + -69. Let j be ((-6)/(-9))/((-1)/(-66)). Calculate the highest common factor of a and j.
11
Let w(r) = -r**2 + 4*r + 17. Let q be w(5). Calculate the highest common factor of 108 and q.
12
Let n = 84 + -119. Let r = -15 - n. Calculate the greatest common divisor of r and 10.
10
Suppose -3*n - 2*q + 24 = -0*q, 6 = 2*n - 2*q. Let i = 49 - 25. What is the greatest common divisor of i and n?
6
Let a be (-27)/(-15) + 2/10. Suppose a*q - 3*u = 2*u + 343, -2 = 2*u. Suppose q + 181 = 5*y. Calculate the highest common divisor of 7 and y.
7
Let f = 5 + -3. Suppose -j + f*j + 1 = 0. Let w = j + 9. Calculate the greatest common factor of 32 and w.
8
Let y(u) = u**3 - 10*u**2 + 8*u + 13. Let i be y(9). What is the greatest common divisor of 8 and i?
4
Let d(n) = -3*n + 6. Let w be d(6). Let k = w - -17. What is the greatest common factor of k and 5?
5
Suppose 4*d - 3*d + 63 = 5*u, 9 = -3*d. What is the greatest common factor of 12 and u?
12
Let f = 58 - 33. Calculate the highest common divisor of 10 and f.
5
Suppose -2*o = -4*l - 274, 0*l - 3*l + 4*o - 193 = 0. Let z = -1 - l. What is the greatest common factor of 28 and z?
14
Let h be 35 + -4 + 2 + -1. Calculate the highest common divisor of 8 and h.
8
Suppose -3*a + 104 = -64. Let i(b) = -5*b - 43. Let v be i(-9). Suppose v*m - 264 = a. Calculate the greatest common factor of 20 and m.
20
Let r be ((-2)/4 + 50/40)*48. What is the highest common factor of 4 and r?
4
Let u = -4 + 11. Let f be 8/24 + (-186)/(-9). Calculate the highest common divisor of u and f.
7
Suppose 4*z = 3*t + 77, 4*t - t = 3. What is the highest common divisor of 30 and z?
10
Let h be -20*(-2 + -1 + 1). Let v(f) = f - 1. Let p be v(-4). Let c = p + 13. What is the highest common factor of h and c?
8
Let f = 3 + -6. Let w be ((-14)/f)/(8/12). What is the highest common divisor of 1 and w?
1
Let a be (54 + 0 - -2) + 1. Let o be 18/(1*(-4)/8). Let s be 0 - (o - (0 + 2)). What is the highest common factor of s and a?
19
Let y = 47 + -27. What is the highest common divisor of y and 80?
20
Suppose 5*m - 44 = -3*u + 2*u, 340 = 5*u - 5*m. What is the highest common factor of 16 and u?
16
Let v be (-4)/(-6) + 40/3. Let n = -16 + 10. Let q be ((-4)/n)/(3/9). Calculate the greatest common divisor of q and v.
2
Suppose -l = -1 - 11. Calculate the greatest common divisor of l and 12.
12
Suppose -6 = -y + 28. Suppose | {
"pile_set_name": "DM Mathematics"
} |
0 - 2)*(0*b**3 + 3*b**3 - b**3) - 2*b**3 + b**3 + 4*b**2 - b**3 in the form j*b**3 + y*b + h + x*b**2 and give j.
4
Express (0*j - 3*j + 5*j)*(-5 + 3 - 5)*(-2 - 2 - 1) in the form z + t*j and give t.
70
Rearrange -5*s - 12*s - 2*s - 3 to the form a + y*s and give y.
-19
Express (-4*s**3 + s**3 + 5*s**3)*(-23*s + 22*s + 5 - 4) as m*s**4 + t*s + o + l*s**2 + n*s**3 and give m.
-2
Express 4*q**2 + 2*q**2 - 10*q**2 + 3*q + 6*q**2 in the form p*q + j*q**2 + r and give j.
2
Rearrange 13*t**4 - 2*t - 3*t**2 - 4*t**4 - 10*t**4 + 6*t**3 to the form n*t**4 + y*t**2 + s + c*t + g*t**3 and give g.
6
Rearrange 4*l - 8 + 5 + 2 - 1 to the form r + f*l and give r.
-2
Express 9*m - 9*m**3 + 8*m**3 + 3 + 4*m in the form i*m**3 + j + u*m**2 + o*m and give j.
3
Rearrange -5*x + 3 - 3 + (-3*x - 2*x + 6*x)*(-2 + 0 + 4) - 2 + 2 + 2*x to the form r*x + y and give r.
-1
Express -12*i + 4*i**2 + 11*i - 3*i**2 in the form c*i + s + d*i**2 and give c.
-1
Express (-4 + 0 - 1)*(2*g**3 - 6*g + 122*g**2 - 122*g**2) in the form a*g + m*g**3 + n*g**2 + k and give m.
-10
Rearrange -5*a**3 + a + 3*a**2 - 4*a**2 + 4*a**3 + 2*a**2 + 8*a**4 to m*a**4 + x*a + c*a**3 + o*a**2 + w and give w.
0
Express -2*b**2 + 15*b**2 - 3*b**2 - 2*b**3 + 2*b - 3*b**2 - 1 as h*b + g*b**2 + a*b**3 + j and give a.
-2
Express (-2*x**2 + 4*x**2 - x + 0*x**2)*(2*x**2 + 0*x**2 + x**2) in the form m*x**4 + i*x + v*x**2 + q + u*x**3 and give m.
6
Express 2*w**2 - 2*w**3 - 2*w + 815*w**4 + w**3 - 818*w**4 in the form r + t*w**2 + i*w**4 + a*w + c*w**3 and give t.
2
Rearrange -1 + 2*k + 0*k**2 + k**2 + 4*k**4 - 2 + 0*k to the form g*k**3 + r*k**4 + y*k**2 + j + m*k and give r.
4
Rearrange (0 + 4 - 2)*(54*f**2 - 97*f**2 + f**3 + 47*f**2) to the form k*f**3 + o*f + y*f**2 + h and give k.
2
Rearrange 2*u - 1 + 1 + 298 - 298 + 12*u - 5*u + 0*u + 3*u + (0 + 0 + u)*(2 + 0 + 0) + u + 0*u + u to r*u + a and give r.
16
Express (-2*v + v - v)*((2 + 2 - 2)*(-9 - 9 + 30) - 4 + 3 + 0) as w + x*v and give x.
-46
Rearrange (-2*r**2 - 2*r**2 + 2*r**2)*(-73*r - 12*r + 122 - 122) to t*r**2 + d*r + h*r**3 + a and give a.
0
Rearrange -2*g + 14*g + 14*g + 6*g to the form o*g + z and give o.
32
Rearrange (-80*f + 44*f + 65*f)*(2 + 0 + 0) + (-2*f + 3*f - 3*f)*(1 + 1 - 3) to c + a*f and give c.
0
Rearrange -8*n - 7*n - n**2 - 7*n + 2*n to a + w*n**2 + h*n and give w.
-1
Express 13*l - 6 - 2*l**2 + 4 + 15*l as y*l**2 + d + t*l and give d.
-2
Rearrange -23*r - 10*r - 5*r + (3 + 0 - 1)*(r + 0 + 0) + 2 + 2*r - 2 - 3*r - 3*r + 4*r to the form q*r + y and give q.
-36
Express (2 - 1 - 3)*(8 + 0 + 0)*(-9*a + 10*a + 15*a) as j + f*a and give f.
-256
Rearrange (-r + 0*r - 2*r)*(-5 + 1 + 2)*(0 - 5 + 3) to f*r + a and give a.
0
Rearrange 14*c**3 - 4*c**3 + 10*c**3 + (c**2 - 4*c**2 + c**2)*(2*c - c + c) to the form p + a*c**2 + j*c + b*c**3 and give j.
0
Express (0*s + 4*s - 2*s)*(-2*s**2 + 0*s**2 + s**2) + (53 - 53 + 33*s**2)*(2*s - 4*s + 0*s) in the form r + z*s**2 + a*s + q*s**3 and give r.
0
Express 9*y - 2*y + y + 4*y**3 + 3 - 6*y as n + p*y**2 + h*y**3 + o*y and give n.
3
Rearrange (-4 - 1 + 4)*(-2*t + 0 + 0) - 2*t + 4*t + 0*t + (-1 + 3 - 1)*(-6 + 6 - 6*t) to q + a*t and give a.
-2
Express x**2 - 3*x**2 - 3*x**2 + 3*x**2 + 2*x**3 - 11 as u + m*x**3 + t*x**2 + s*x and give u.
-11
Express -h**4 + 0*h + h**2 + 4*h - 5*h + h**2 in the form s*h**4 + n*h + t*h**2 + p*h**3 + o and give t.
2
Rearrange (2 + r**2 - 2)*(-4*r + 22*r + 13*r) + (4 - 2 + 0)*(0*r**3 + 5*r**3 - 3*r**3) to the form g*r**2 + o + c*r**3 + n*r and give c.
35
Express (-4 + 4 - h)*(-1 + 1 - 2) - 128 - h + 128 in the form r*h + k and give r.
1
Express (g + 3*g - 2*g)*(-2*g + 2*g - g**2) + 3 + 77*g**3 + 5*g - 2 - 74*g**3 in the form v + s*g**3 + q*g**2 + y*g and give s.
1
Rearrange 13*t**2 - 1 - 59*t + 2 + 59*t to q*t**2 + o + w*t and give o.
1
Express (8*x**2 - 40*x**2 - 18*x**2)*(2*x**2 + 2*x**2 - 2*x**2) in the form k*x**4 + l + b*x**2 + n*x**3 + m*x and give k.
-100
Rearrange -22*w**2 - 172 + 172 + (3*w**2 - w**2 - 3*w**2)*(1 - 2 + 0) + 2*w**2 + 0*w + 0*w to u + h*w**2 + g*w and give h.
-19
Express ((1 + 0 - 2)*(0*r - 2*r + 0*r) - 161 - 159*r + 161)*(-2 + 3 + 1) in the form i*r + u and give i.
-314
Rearrange (-d - 3 + 1 - d)*(-7*d + 0*d + 0*d) to the form z*d + c*d**2 + i and give z.
14
Express -k - 2*k + 13*k in the form v + a*k and give a.
10
Rearrange 11*m**4 - 8*m**4 + 6*m - 5*m**2 - 5*m to w*m**4 + b*m**3 + n + s*m**2 + o*m and give w.
3
Express -7*k**2 - 10*k**4 - k - k**3 + 3*k**4 + 10*k**4 as r*k**2 + o + p*k**4 + l*k**3 + v*k and give l.
-1
Express o**3 + 0*o**3 - 6*o - 10*o - 3*o in the form d + x*o**2 + n*o**3 + w*o and give w.
-19
Express -518*g**2 + 518*g**2 + 5*g**3 + g**4 + g as s + k*g + f*g**4 + y*g**3 + o*g**2 and give s.
0
Express 2*f - 7*f**2 + 2*f - 2*f**3 + 5*f**2 - 2*f**4 + 6 - 5*f in the form s*f**2 + i*f**3 + q + a*f + k*f**4 and give k.
-2
Express (5 - 2 - 2)*(3 + 0 - 4)*(-x**2 + 2 - 2) as y*x**2 + p + r*x and give y.
1
Express -a**3 + 6*a + 3*a**2 + 3*a**3 - 1 - 6*a as d + z*a**3 + p*a + q*a**2 and give d.
-1
Express 4*r - 2*r**3 - 5*r + 8*r**2 + 2*r**2 - 14*r**2 as s*r + i + p*r**3 + c*r**2 and give p.
-2
Rearrange -6*q**2 + 5*q**2 - 6*q**2 + (-4*q**2 + 2*q**2 + q**2)*(2 - 3 + 2) + q - q**2 - q to the form r*q**2 + o + v*q and give r.
-9
Express 107 - 107 + v + 7*v**2 in the form l + w*v + i*v**2 and give i.
7
Rearrange (k + 5*k + 0*k)*(0 + 1 - 2)*(k**3 - 3*k**3 - 5*k**3) to v + c*k**3 + y*k**2 + m*k + l*k**4 and give l.
42
Rearrange (-g**2 + g**2 - 4*g**2)*(2*g**2 + 4*g - 4*g) - 45*g + 4*g**4 + 45*g - 3*g**3 to u*g + s*g**2 + c*g**3 + t + o*g**4 and give c.
-3
Rearrange x**3 + 5*x**3 - x**2 - 8*x**3 - 3*x to the form n*x**3 + g*x**2 + z + l*x and give g.
-1
Express -216 - 25*o + 216 as f + p*o and give p.
-25
Express 2*x - 7*x + 2*x in the form s*x + j and give s.
-3
Express -3*s + 4*s - 4*s**2 + 2*s**3 - 9 + 13 as f*s**3 + r*s + m*s**2 + y and give f.
2
Express (n + 3*n - 3*n)*(6 + 1 + 0)*(-3*n + 3*n - 2*n**3) + 4*n**4 - 3*n**4 + 2*n**4 as s*n + l*n**4 + h*n**2 + d*n**3 + w and give w.
0
Express 2*s**3 + 0*s**2 - 203 + 0*s**2 + 211 in the form z*s**3 + a*s**2 + p*s + f and give a.
0
Rearrange -73 - 18 + 2*d - 34 to p + h*d and give h.
2
Rearrange 5*l**4 + 2*l**2 + l**2 - 4*l**4 - 3 to o + m*l + u*l**2 + x*l**4 + h*l**3 and give o.
-3
Rearrange (-240 + 240 - 27*g)*(0*g + 0*g - g + (1 + 3 - 2)*(-2 + 2*g + 2))*(2 + 2*g - 2) to the form z*g + o*g**3 + h + m*g**2 and give o.
-162
Rearrange 5 - 3*z - 36 + 7*z - 5*z to the form h + k*z and give k.
-1
Express 352 - 348 - 13*j**2 - 21*j**2 in the form g*j + a + i*j**2 and give a.
4
Express -63*o**3 + 64*o**3 + 3*o**4 - o - o**4 + o**2 + 1 as j*o**4 + h + v*o + l*o**3 + m*o**2 and give m.
1
Rearrange 1 + n - 1 + (8 - 3*n - 8)*(-2 - 2 + 6) - 1 - n + 1 + 6*n + 0*n - 3*n to the form b + p*n and give p.
-3
Express -3*c - c - 5*c + 2*c in the form d*c + m and give d.
-7
Rearrange -5*k**2 - 2*k**4 - 4*k**4 + k**3 + 1 + 5*k**4 to o*k + c + s*k**3 + t*k**2 + v*k**4 and give v.
-1
Express (-3*k**4 + 0*k**4 - 4*k**4)*(-12 + 3 + 7) in the form g*k**2 + l*k**4 + u*k**3 + q + i*k and give g.
0
Rearrange -100*l**2 + l**3 + 100*l**2 - 8*l to the form c + y*l**3 + k*l**2 + f*l and give y.
1
Express -2*d**3 - d + d + (2*d**2 - 1 + 1)*(-4*d - 2*d + 5*d) - d + d + d**3 - 109*d**3 + 184 - 184 as g + l*d**2 + k*d**3 + w*d and give k.
-112
Rearrange -44*a - 112*a + 15*a to the form i + c*a and give c.
-141
Express -12*o - 10*o + 2*o in the form n + f*o and give f.
-20
Rearrange o**2 - 2*o**4 + 4*o**3 - 2*o**3 - 4*o**3 + 12 - 17 to z*o**3 + n*o**4 + d*o**2 + h*o + w and give d.
1
Rearrange (70*r + 32*r + 144 - 141)*(-2*r**3 + 3*r**3 - 2*r**3) to the form g*r**4 + w*r**3 + m + l*r + n*r**2 and give w.
-3
Express (-4*l + 8*l + 6*l)*(6 + 4 - 5) + 2 - 2 + l as b*l + w and give b.
51
Rearrange (1 - 1 + 1)*(165 - 165 - 81*w) to h + z*w and give z.
-81
Rearrange -4*y + 1234 - 1234 + 13*y**2 to q + r*y**2 + o*y and give o.
-4
Express -6 + 3 - 2*j**4 - 2*j + 5 in the form b + t*j**4 + s*j + r*j**3 + a*j**2 and give s.
-2
Rearrange (0*a + 0*a + 2*a)*(0 + 8 + 2)*(-3*a - 2 + 2) to the form h*a**2 + d*a + l and give h.
-60
Express -6*d - 2*d + 0*d + 7*d + 29 in the form z*d + y and give z.
-1
Rearrange (-40*m - 6*m + 20*m)*(-m + m - m) to | {
"pile_set_name": "DM Mathematics"
} |
-4) - 2/8. What is m rounded to the nearest 1000000?
-9000000
Let h be 474273/6*(-1 + -3). Let y = h - -221182. Round y to the nearest ten thousand.
-100000
Let b = 1.6348 - 11.63588. Let l = b - -10. What is l rounded to four decimal places?
-0.0011
Let s = -104.0912114668 - -0.0912191668. Let b = 105 - 209. Let p = b - s. What is p rounded to six dps?
-0.000008
Let p = -1.67 - -5.99. Round p to 0 dps.
4
Suppose 7*k - 3*k - 1629332 = 0. Let i be (-2 + -1)*(-329111 - 0). Let h = i - k. What is h rounded to the nearest one hundred thousand?
600000
Let s(r) = -r**3 + 5*r**2 + r - 2. Let c be s(5). Suppose 81195 = -4*i + 5*t, -3*i + 7*i + c*t + 81203 = 0. Round i to the nearest 1000.
-20000
Let j = -20 + 35. Suppose 3*f = -j + 42. Let z be (-120000)/((-1)/(f/6)). What is z rounded to the nearest 100000?
200000
Suppose -37758 - 85242 = w. What is w rounded to the nearest 10000?
-120000
Let s = -3 - -14. Let m = s + -8. Round m to zero decimal places.
3
Let l(q) be the second derivative of q**3/3 - 3*q**2 - q. Let f be l(4). Round f to the nearest ten.
0
Let z(g) = -21872*g. Let s be 6/(-9) + (-14)/6. Let v be z(s). Suppose 16 = 4*k, -6*h - v = -2*h - 4*k. What is h rounded to the nearest one thousand?
-16000
Let b = -199 + 215.3. Round b to the nearest integer.
16
Let g(m) = 305*m**2 - 4*m - 4. Let p be g(-6). What is p rounded to the nearest ten thousand?
10000
Let z = 78.304 - 78. Let r = 0.26 - z. Round r to 2 decimal places.
-0.04
Let x be -2 - (287/1 + 1). Let w be ((-22)/(-2))/(6/102). Let f = w + x. What is f rounded to the nearest 10?
-100
Let r(v) = -101264*v**2 + 2*v + 0 + 1 + 0*v - 12743*v**2. Let m be r(4). Let f = m + 1044103. Round f to the nearest 100000.
-800000
Suppose -5*q + 2*q + 3 = 0. Let w = q + 2. Suppose 0 = c - w*c. Round c to the nearest ten thousand.
0
Let w = 98.99939 + -99. What is w rounded to 4 dps?
-0.0006
Let v = 11 - 10.985. What is v rounded to 3 decimal places?
0.015
Let j = 36 + -36.00058. What is j rounded to 3 decimal places?
-0.001
Let r = 897 - 456. Let z = r - -59. Round z to the nearest one thousand.
1000
Let m = -19.8 - -19. Let y = -0.8115 - m. What is y rounded to three dps?
-0.012
Let b = 0.11 - 52.11. Let j = b + 46.2. Round j to the nearest integer.
-6
Let g = 1186.1593 - 1186. Let m = 2.168 - 2. Let w = m - g. Round w to 3 decimal places.
0.009
Let t = 80 + -80.00084. What is t rounded to four decimal places?
-0.0008
Suppose 0 = 5*f - 2505 + 747505. Round f to the nearest ten thousand.
-150000
Let y(c) = -c**3 + 7*c**2 + 10*c. Let i be y(8). Let x be i/(-56) + 47441/7. Let m = x - 13577. Round m to the nearest 1000.
-7000
Let n be (1874999/(-2))/((-1)/4). Let u = 0 - -5. Let g be 4/(-10) - n/u. Round g to the nearest one hundred thousand.
-800000
Let r = 1204041.59 + 16393.41. Let m = -1220432.999934 + r. Let i = 2 - m. What is i rounded to 5 decimal places?
-0.00007
Let j = -2704.539 + 2697. Let d = 0.061 - j. What is d rounded to 0 decimal places?
8
Let b = 177 + -174.99. Let y = -2 + b. What is y rounded to one decimal place?
0
Suppose -5*v = 8036 - 28826. Let a = v - 7558. What is a rounded to the nearest one thousand?
-3000
Let s = -166.00000097 - -166. Round s to seven decimal places.
-0.000001
Let t = 0.13845865 - 0.16046. Let l = t + 0.022. What is l rounded to seven dps?
-0.0000014
Suppose -10*a = -4*a + 498000. Round a to the nearest 10000.
-80000
Let n = 61 - 85. Let u = -36325 - -36349.047. Let o = u + n. What is o rounded to 2 dps?
0.05
Let w = 384 + -383.999999543. What is w rounded to seven decimal places?
0.0000005
Let o be (-18320 - -6)*-1*1073. Suppose 4350922 - o = x. What is x rounded to the nearest 1000000?
-15000000
Let o(f) = 7*f - 70*f**2 - 10*f + 0 - 2. Let s be o(-4). Round s to the nearest 100.
-1100
Let f = 0.18333 - 0.187. Round f to four dps.
-0.0037
Suppose 0 = 3*d - y - y - 1, 0 = -3*d + 3*y + 3. Let b(o) = 6001*o + 1. Let j be b(d). What is j rounded to the nearest one thousand?
-6000
Let j = -628564.520049 + 628565. Let x = -24 + 24.48. Let z = j - x. What is z rounded to 5 decimal places?
-0.00005
Let p = 7.6 + -33.64. Let g = p + 25. Round g to one dp.
-1
Let k = -0.4668 - -2.4698. Let l = 2 - k. Round l to two dps.
0
Let g(w) = 163*w**3 + 3*w**2 - 9*w + 11. Let x be g(9). Round x to the nearest ten thousand.
120000
Let k = -0.8532 - -0.93. Let x = -0.82 + 0.9. Let s = k - x. Round s to 3 dps.
-0.003
Let y be 2*1 - (-1 - -3). Let j = y - -2. Suppose 2100 = -j*b + b. Round b to the nearest one thousand.
-2000
Suppose 2*g + 5423 = -3*i - 19783, -2*i - g = 16803. What is i rounded to the nearest 1000?
-8000
Suppose -4 = -5*z + 11. Suppose j - 3*s = 2*s - 25730, 77154 = -z*j - 3*s. Let y = 15320 + j. What is y rounded to the nearest 1000?
-10000
Let n = 1 - -6. Let r = -12.45985 - -19.46. Let u = r - n. Round u to 4 decimal places.
0.0002
Let a = -1.05 - 24.45. Let j = -25.608905 + 0.127205. Let w = a - j. Round w to three dps.
-0.018
Let x(q) = -q**3 + 2*q**2 + 7*q + 5. Let g be x(8). What is g rounded to the nearest ten?
-320
Let r = 0.09 - 0.096. Round r to 2 decimal places.
-0.01
Let q = -113.000093 + 113. What is q rounded to 5 decimal places?
-0.00009
Let s = -17.152 + 17. Let w = s + -78.848. Let q = w - -86.6. Round q to zero dps.
8
Let s(m) be the third derivative of -21875*m**4/3 - m**2. Let b be s(-12). What is b rounded to the nearest one million?
2000000
Let m be (-3)/((-36)/(-80))*-54. Round m to the nearest ten.
360
Let o = -59.029 + 59. Let r = 0.058 + o. Let k = r - -0.241. What is k rounded to 1 decimal place?
0.3
Let d = 55.7 + -61. Round d to the nearest integer.
-5
Let o = 895.3 - 662. Let i = -263 + 39. Let w = i + o. What is w rounded to the nearest integer?
9
Let o = 19032682623.4807 + -19078934242.4806949. Let s = o + 46251616. Let w = s - -3. Round w to six dps.
0.000005
Let k = 2701 + -1901. Let t be 2*1 - (2 + k). Round t to the nearest 100.
-800
Let q = 0.009 + -10.809. What is q rounded to the nearest integer?
-11
Suppose -o = 5326192 + 30273808. Round o to the nearest 1000000.
-36000000
Let j(c) = 1783209*c - 7. Let r be j(-7). Let i = -23282470 - r. Round i to the nearest 1000000.
-11000000
Let y = 2867943 + -2867943.3999991. Let v = -1.6 + 2. Let x = v + y. Round x to six decimal places.
0.000001
Let m(s) be the second derivative of s**5/20 + 11*s**4/12 - 2*s**3 + 7*s**2 + 3*s. Let h be m(-12). Round h to the nearest 10.
10
Let v = 0.11 - 28.11. Let t = v - -27.9999949. What is t rounded to six decimal places?
-0.000005
Let b be (-60)/(-35) + (-2)/(-7). Suppose c - 4*c - 15 = -4*f, -5*f + 36 = b*c. Suppose -2*o - 6720 = -f*o. What is o rounded to the nearest 100?
1700
Let h = -3.95 - 0.05. Let m = h - -8.3. Let g = m - 4.3000066. What is g rounded to six decimal places?
-0.000007
Let b = 11659 - -7289. Suppose -39052 = -2*p + b. Round p to the nearest 10000.
30000
Let u = -0.0900698953 + -207.9099310147. Let w = 208 + u. Round w to seven dps.
-0.0000009
Let q = 51.9999376 + -52. Round q to five dps.
-0.00006
Let x = -36213001.936038 - -36208287.33. Let u = 4719.006 + x. Let w = 4.4 - u. Round w to five dps.
0.00004
Let q = 0.0530063 - 0.053. Round q to 6 decimal places.
0.000006
Let w = 243 + -264.2. Let m = w + 19. Round m to zero dps.
-2
Let q = -690892 + 1191892. Round q to the nearest ten thousand.
500000
Let b = 18 - 17.71. Let m = b - 0.07. Let c = m + -0.2231. What is c rounded to three decimal places?
-0.003
Let b = 34 + -11. Let f = 198411.000072 - 198434. Let m = f + b. What is m rounded to five decimal places?
0.00007
Let n = 2066 + -1979.7. What is n rounded to the nearest ten?
90
Let u = -708726.01899895 + 708726. Let b = 0.019 + u. Round b to seven decimal places.
0.0000011
Let i = -353 + 352.99999811. What is i rounded to 7 decimal places?
-0.0000019
Let o = -0.7 + -12.7. Let u = o + -81.6. Let y = u + 95.0059. Round y to 3 dps.
0.006
Let a = 216 + -216.00924. What is a rounded to 3 dps?
-0.009
Suppose -5*s + 210407 = -469593. What is s rounded to the nearest ten thousand?
140000
Let h(t) = 2221*t**2 + 8*t + 6. Let b be h(-5). Suppose p + 3*y - b = -2*p, -5*p + 92515 = -5*y. What is p rounded to the nearest 1000?
19000
Let o = -7.25 - -7. Let z = 3.48 - o. Let w = z - 3.5. Round w to one decimal place.
0.2
Let u = | {
"pile_set_name": "DM Mathematics"
} |
lacement from ooooooooooooooovooov. What is prob of picking 2 o?
153/190
Three letters picked without replacement from zhhl. Give prob of picking 1 l, 1 z, and 1 h.
1/2
Four letters picked without replacement from bccccmccbmcc. Give prob of picking 4 c.
14/99
Three letters picked without replacement from {g: 3, s: 4, p: 1}. What is prob of picking 3 s?
1/14
Calculate prob of picking 4 j when four letters picked without replacement from {j: 6}.
1
Calculate prob of picking 3 x when three letters picked without replacement from xxxxnxnnnxnnnxxxnnn.
28/323
Two letters picked without replacement from ccccsssusccccpj. Give prob of picking 2 s.
2/35
Two letters picked without replacement from {w: 1, g: 2}. Give prob of picking 2 g.
1/3
Four letters picked without replacement from {j: 2, k: 1, d: 2, u: 2, i: 1}. What is prob of picking 2 u and 2 j?
1/70
Two letters picked without replacement from {k: 2, w: 9}. What is prob of picking 2 k?
1/55
Three letters picked without replacement from {j: 1, n: 1, x: 2}. Give prob of picking 3 n.
0
What is prob of picking 1 s and 2 g when three letters picked without replacement from {u: 2, g: 6, q: 3, s: 2}?
15/143
Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 2, v: 1, l: 2, b: 11}.
1/60
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from fktlb.
1/10
What is prob of picking 2 f when two letters picked without replacement from {n: 10, t: 1, f: 4, j: 4, m: 1}?
3/95
Calculate prob of picking 1 e, 1 w, and 1 p when three letters picked without replacement from {e: 1, p: 3, s: 2, w: 1, o: 7}.
3/364
Two letters picked without replacement from {p: 1, a: 1, r: 9, f: 7}. Give prob of picking 1 r and 1 f.
7/17
Three letters picked without replacement from {s: 3, w: 1}. Give prob of picking 3 s.
1/4
Three letters picked without replacement from vrv. Give prob of picking 3 v.
0
Two letters picked without replacement from jzczzrw. What is prob of picking 1 c and 1 r?
1/21
Calculate prob of picking 2 r and 1 a when three letters picked without replacement from rrrarmrrr.
1/4
Calculate prob of picking 1 b and 3 x when four letters picked without replacement from xbxllllrrrrlx.
1/715
Calculate prob of picking 1 f, 2 k, and 1 l when four letters picked without replacement from ljfiliwfkkii.
4/495
Calculate prob of picking 2 o when two letters picked without replacement from ddooodo.
2/7
What is prob of picking 2 o and 2 w when four letters picked without replacement from wwooowowooooowoo?
55/182
What is prob of picking 3 k when three letters picked without replacement from kkkkkkjkjkkkk?
15/26
Four letters picked without replacement from {s: 5}. Give prob of picking 4 s.
1
What is prob of picking 1 n, 1 w, 1 f, and 1 z when four letters picked without replacement from nfnwnwwnzzwfwwwzwtw?
18/323
Three letters picked without replacement from uuluullulluu. What is prob of picking 3 l?
1/22
What is prob of picking 2 d when two letters picked without replacement from znpzpzddnnznznzg?
1/120
What is prob of picking 2 k when two letters picked without replacement from {o: 3, g: 4, k: 6}?
5/26
Four letters picked without replacement from {w: 2, z: 8, n: 1, v: 1, f: 7}. Give prob of picking 2 z, 1 w, and 1 f.
98/969
Three letters picked without replacement from {y: 2, a: 3}. Give prob of picking 3 a.
1/10
Calculate prob of picking 2 q when two letters picked without replacement from {u: 2, p: 1, i: 5, e: 3, q: 5}.
1/12
Four letters picked without replacement from {t: 5, i: 12, y: 1}. What is prob of picking 4 i?
11/68
What is prob of picking 4 n when four letters picked without replacement from nkknnenkkmnnqkmmkmke?
1/323
Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {u: 1, l: 1, j: 2}.
1/6
Two letters picked without replacement from {g: 7, r: 2}. Give prob of picking 1 g and 1 r.
7/18
Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, s: 7}.
6/55
Calculate prob of picking 2 e when two letters picked without replacement from epeeteuueceede.
4/13
Two letters picked without replacement from pyfyydyyypypyypyypy. Give prob of picking 1 f and 1 p.
5/171
Three letters picked without replacement from hsnyynhhnhs. What is prob of picking 1 n and 2 y?
1/55
Calculate prob of picking 1 e and 2 g when three letters picked without replacement from {e: 2, g: 3}.
3/5
Calculate prob of picking 2 z when two letters picked without replacement from eeeeeeeeezzeezezeeze.
1/19
What is prob of picking 1 l and 2 h when three letters picked without replacement from hlssccshhc?
1/40
Two letters picked without replacement from wbfbxbs. What is prob of picking 1 b and 1 x?
1/7
Four letters picked without replacement from {t: 2, r: 6}. Give prob of picking 1 t and 3 r.
4/7
What is prob of picking 3 w when three letters picked without replacement from jwjjjjwjwjjjwjjjjjw?
10/969
What is prob of picking 1 f and 2 a when three letters picked without replacement from {f: 6, c: 2, m: 1, a: 3}?
9/110
Three letters picked without replacement from {w: 6, i: 13}. Give prob of picking 2 w and 1 i.
65/323
Two letters picked without replacement from qfdxffqffnffnndqqdqf. What is prob of picking 1 n and 1 q?
3/38
Two letters picked without replacement from hhpspssshs. Give prob of picking 1 h and 1 s.
1/3
Two letters picked without replacement from smqqj. Give prob of picking 1 m and 1 j.
1/10
Three letters picked without replacement from {z: 8, e: 6, i: 3}. What is prob of picking 3 z?
7/85
Calculate prob of picking 1 v and 1 e when two letters picked without replacement from wxweqwweeveejwxw.
1/24
Two letters picked without replacement from {q: 8, g: 2}. Give prob of picking 1 q and 1 g.
16/45
Three letters picked without replacement from yrryyy. Give prob of picking 2 r and 1 y.
1/5
Calculate prob of picking 2 o when two letters picked without replacement from {o: 1, d: 1, c: 5, f: 2}.
0
Calculate prob of picking 2 c and 2 f when four letters picked without replacement from {p: 1, f: 1, a: 4, h: 1, w: 3, c: 2}.
0
Calculate prob of picking 2 r when two letters picked without replacement from rrrrlrrrrrllrr.
55/91
Two letters picked without replacement from ssssvsssssssssssssvs. What is prob of picking 1 s and 1 v?
18/95
Calculate prob of picking 1 u, 1 r, and 1 v when three letters picked without replacement from vrvvovaaooovvvuoo.
7/680
Three letters picked without replacement from iuiuuutt. Give prob of picking 3 u.
1/14
What is prob of picking 1 w and 1 s when two letters picked without replacement from {w: 3, s: 3, i: 2}?
9/28
Calculate prob of picking 1 d, 1 u, and 2 a when four letters picked without replacement from eduaa.
1/5
Two letters picked without replacement from {j: 4, y: 3, k: 2}. Give prob of picking 2 k.
1/36
What is prob of picking 3 o when three letters picked without replacement from hrrohooroorhroh?
4/91
Three letters picked without replacement from {f: 7, x: 1}. Give prob of picking 3 f.
5/8
Three letters picked without replacement from ppppkpppkppkkp. Give prob of picking 1 k and 2 p.
45/91
Two letters picked without replacement from {n: 3, k: 2, q: 4}. What is prob of picking 2 n?
1/12
Calculate prob of picking 4 l when four letters picked without replacement from {l: 4, b: 6}.
1/210
Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {f: 1, v: 4, w: 12, y: 3}.
18/95
Calculate prob of picking 3 t and 1 g when four letters picked without replacement from {t: 7, g: 3}.
1/2
Three letters picked without replacement from {v: 1, l: 1, x: 1, j: 1, e: 1, k: 2}. What is prob of picking 1 e, 1 v, and 1 l?
1/35
Two letters picked without replacement from {t: 3, z: 5, y: 1, g: 3, q: 6}. What is prob of picking 2 z?
10/153
What is prob of picking 3 m when three letters picked without replacement from mmmmmmeememmmmemme?
143/408
Four letters picked without replacement from pppppppxpippppipipxp. Give prob of picking 1 x, 2 i, and 1 p.
6/323
Four letters picked without replacement from tttttttttttttftttttf. What is prob of picking 2 t and 2 f?
3/95
Two letters picked without replacement from udnddddduddddd. Give prob of picking 2 u.
1/91
What is prob of picking 1 b and 1 k w | {
"pile_set_name": "DM Mathematics"
} |
1 g?
28/969
Calculate prob of picking 1 y, 2 a, and 1 z when four letters picked without replacement from gszsssggayas.
1/495
Two letters picked without replacement from gkgggkgggg. Give prob of picking 1 g and 1 k.
16/45
Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {u: 2, n: 2, r: 8, e: 1, v: 1, q: 1}.
1/105
Two letters picked without replacement from rirriirrrrbrebbirier. What is prob of picking 1 e and 1 b?
3/95
Three letters picked without replacement from {u: 4, k: 10}. What is prob of picking 2 u and 1 k?
15/91
Four letters picked without replacement from kkkkkkkkqkkkkkkkqkkk. What is prob of picking 2 k and 2 q?
3/95
Two letters picked without replacement from {u: 2, f: 1, v: 3, q: 4, s: 7, e: 1}. Give prob of picking 1 v and 1 q.
4/51
What is prob of picking 1 j and 1 f when two letters picked without replacement from fdjf?
1/3
What is prob of picking 2 z, 1 q, and 1 e when four letters picked without replacement from {a: 1, e: 2, q: 1, t: 1, z: 2}?
2/35
What is prob of picking 2 q when two letters picked without replacement from {h: 6, b: 1, q: 7}?
3/13
Calculate prob of picking 3 x and 1 k when four letters picked without replacement from kexsbkjxbbjx.
2/495
Four letters picked without replacement from bnbmmnnmmlmbbbb. What is prob of picking 3 m and 1 b?
4/91
Two letters picked without replacement from {a: 1, h: 1, l: 2, t: 1, u: 1, m: 1}. Give prob of picking 1 m and 1 l.
2/21
Four letters picked without replacement from {w: 1, i: 5, x: 2, q: 3, g: 1}. What is prob of picking 1 g and 3 i?
2/99
Calculate prob of picking 1 l, 1 g, and 1 d when three letters picked without replacement from ldxllxlxgd.
1/15
Two letters picked without replacement from {e: 6, d: 8, i: 3}. What is prob of picking 1 d and 1 i?
3/17
Calculate prob of picking 1 b and 1 t when two letters picked without replacement from vagbttz.
2/21
What is prob of picking 1 i and 1 p when two letters picked without replacement from {i: 2, p: 1, f: 1, c: 2, o: 1, z: 2}?
1/18
Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {p: 5, z: 5, n: 1}.
1/11
What is prob of picking 2 z when two letters picked without replacement from {j: 13, z: 6}?
5/57
What is prob of picking 2 f when two letters picked without replacement from {v: 3, n: 2, f: 2, w: 5}?
1/66
What is prob of picking 1 e and 1 x when two letters picked without replacement from eexeeeee?
1/4
What is prob of picking 1 p and 2 r when three letters picked without replacement from {r: 2, p: 3, k: 1, e: 1, u: 3}?
1/40
Two letters picked without replacement from {k: 5, m: 5, v: 1}. Give prob of picking 1 v and 1 m.
1/11
Three letters picked without replacement from mmttmytemtmt. Give prob of picking 1 y, 1 e, and 1 t.
1/44
Two letters picked without replacement from {i: 4, z: 2, c: 4, k: 1}. Give prob of picking 2 i.
6/55
Two letters picked without replacement from {r: 2, m: 2, f: 1}. What is prob of picking 1 r and 1 m?
2/5
Three letters picked without replacement from fulnflduhffnufufffun. Give prob of picking 1 n, 1 h, and 1 d.
1/380
Two letters picked without replacement from rpcanvcvaappnrncap. Give prob of picking 2 v.
1/153
Two letters picked without replacement from {i: 1, q: 1, o: 3, w: 1, n: 2, e: 4}. What is prob of picking 2 e?
1/11
What is prob of picking 1 i and 1 v when two letters picked without replacement from {k: 1, i: 5, m: 1, v: 3, l: 2}?
5/22
Four letters picked without replacement from gggggcgg. Give prob of picking 1 c and 3 g.
1/2
Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {c: 1, w: 1, h: 2, e: 2}.
1/15
Two letters picked without replacement from {m: 10}. What is prob of picking 2 m?
1
Four letters picked without replacement from {h: 16, q: 4}. Give prob of picking 4 h.
364/969
Two letters picked without replacement from {b: 1, o: 1, s: 2, m: 2, w: 1, p: 1}. What is prob of picking 1 w and 1 p?
1/28
Calculate prob of picking 4 c when four letters picked without replacement from xxcxeccxeexcxxe.
1/1365
What is prob of picking 2 z when two letters picked without replacement from zzzzzzzzzzzzhvzzh?
91/136
Calculate prob of picking 1 b and 1 k when two letters picked without replacement from kkbbkkkkkkkkk.
11/39
Four letters picked without replacement from {v: 4, s: 13, n: 3}. What is prob of picking 1 n and 3 s?
286/1615
What is prob of picking 1 j, 1 t, and 1 x when three letters picked without replacement from ooooooxxjtoooooj?
1/140
Three letters picked without replacement from ssutsddtsss. Give prob of picking 1 d and 2 t.
2/165
Calculate prob of picking 3 r and 1 u when four letters picked without replacement from {x: 1, z: 1, l: 2, u: 1, a: 1, r: 1}.
0
Four letters picked without replacement from {l: 2, t: 5, e: 6, v: 1, d: 1}. What is prob of picking 3 e and 1 v?
4/273
Three letters picked without replacement from wwywyyyyyyyyyyyyyyyw. What is prob of picking 2 y and 1 w?
8/19
Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {o: 7, i: 7, g: 2, l: 1}.
1/68
Four letters picked without replacement from cvscccvzscsvccszczvc. What is prob of picking 2 c and 2 v?
72/1615
Two letters picked without replacement from xxojx. What is prob of picking 2 o?
0
What is prob of picking 1 m, 1 a, and 1 z when three letters picked without replacement from amaazaz?
8/35
Three letters picked without replacement from {c: 1, y: 1, b: 1, p: 2, l: 2}. Give prob of picking 2 p and 1 y.
1/35
Calculate prob of picking 1 t, 1 f, 1 m, and 1 r when four letters picked without replacement from rtrmuufutu.
2/105
Four letters picked without replacement from {g: 1, w: 4, i: 1, r: 7}. Give prob of picking 1 g and 3 r.
7/143
Two letters picked without replacement from yyjjccyycgn. Give prob of picking 1 g and 1 c.
3/55
Three letters picked without replacement from {v: 1, m: 1, w: 2, a: 1, q: 1, k: 1}. What is prob of picking 1 a and 2 w?
1/35
Four letters picked without replacement from {o: 1, b: 1, w: 2, d: 2}. Give prob of picking 2 w, 1 b, and 1 d.
2/15
Two letters picked without replacement from {w: 2, o: 1, j: 4, e: 3}. Give prob of picking 1 w and 1 j.
8/45
Calculate prob of picking 2 x when two letters picked without replacement from xxxqqqqqxqqqqqqqqq.
2/51
Four letters picked without replacement from xximximii. What is prob of picking 1 m and 3 x?
1/63
Three letters picked without replacement from bbbv. Give prob of picking 2 b and 1 v.
3/4
Two letters picked without replacement from {p: 3, h: 4, v: 1, g: 2, m: 1}. Give prob of picking 1 v and 1 m.
1/55
Calculate prob of picking 2 q and 1 z when three letters picked without replacement from {q: 5, r: 7, z: 4}.
1/14
Four letters picked without replacement from fnffnjnyufjy. Give prob of picking 1 j, 1 y, 1 f, and 1 n.
16/165
Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {k: 1, j: 7, p: 3, q: 4, l: 1, i: 2}.
7/51
Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {p: 5, v: 1, h: 1, e: 1, j: 7}.
1/105
Two letters picked without replacement from {r: 2, b: 2, u: 4}. What is prob of picking 2 r?
1/28
What is prob of picking 1 e, 1 l, and 2 v when four letters picked without replacement from eesseeevlesleevl?
6/455
Calculate prob of picking 1 v and 1 b when two letters picked without replacement from uvbfwvo.
2/21
Four letters picked without replacement from zzjjrgjjjryjagjjr. Give prob of picking 2 z and 2 j.
1/85
Two letters picked without replacement from {i: 18, w: 1}. What is prob of picking 1 i and 1 w?
2/19
Two letters picked without replacement from jjljtjpjg. Give prob of picking 1 t and 1 j.
5/36
Calculate prob of picking 1 q and 1 v when two letters picked without replacement from ppqvppqqpqpv.
4/33
What is prob of picking 1 x and 1 d when two letters picked without replacement from ddxs?
1/3
Two letters picked without replacement from {z: 5, x: 3, b: 2, p: 9}. What is prob of picking 1 b and 1 x?
2/57
Four letters picked without replacement from xxlssslsxxsls. Give prob of picking 1 s and 3 x.
24/715
Two letters picked without replacement from {s: 1, e: 1, x: 2, j: 1}. What is prob of picking 1 x and 1 j?
1/5
Four letters picked wi | {
"pile_set_name": "DM Mathematics"
} |
alse
Let o(y) = -y**2 - 5*y + 3. Let k be o(-6). Let c be (2/(-8))/((-3)/(-6))*(-48 - -56). Which is bigger: c or k?
k
Suppose 0 = -4*a + a + 48. Let v be (2/(-4))/(-2*4/a). Is 3 less than or equal to v?
False
Let q = -43.07 + 43. Let m = 3 + -3.2. Is q less than m?
False
Let z be (-4 + (2 - 0))*14/(-4). Suppose 3*d = 5*l - 15 - 9, -22 = -3*l - 2*d. Which is bigger: l or z?
z
Let b be 4/(4/1) + -18. Suppose 3*z = g - 0 + 4, -3*g - 2*z - 56 = 0. Is g smaller than b?
False
Let l = -1621 + 1622.8. Which is smaller: l or 27?
l
Suppose 3*n - 4*c + 0 = 20, -4*c = 4*n - 8. Let v = n + -4. Suppose 2*g = -5*f + 17, -2*f + 3 = -3*g - v. Which is smaller: 2 or f?
2
Let d be 24/(-18)*8/(-32). Is 34.4 != d?
True
Let o be (6 + (-1 - 12))/1. Let p(s) = s**2 + 6*s + 5. Let a be p(-4). Let v = a - o. Are 1/2 and v unequal?
True
Let c(d) = -d**2 + d - 1. Let f(x) = 14*x - 15. Let h(l) = c(l) - f(l). Let v be h(-14). Is v greater than -3/86?
True
Let h(p) = -p**2 - 5*p - 1. Let f be h(-3). Suppose 2*d = 3*c + 2, -f*d - 3*c = 2*c - 5. Let x = -784.8 + 785. Which is bigger: d or x?
d
Suppose -3*d - 2 + 20 = 0. Let h(v) = v**2 - 2 - v**3 - 4*v + 11*v + 0 + 4*v**2. Let k be h(d). Is k greater than or equal to 1?
True
Suppose 240 = -4*a - 24. Let v be 4/3*a/(-143). Is v < 0?
False
Let p be ((-3)/(-1))/(90/(-1572)). Let r = p - -52. Which is bigger: r or 2?
2
Let h be ((-6)/(-4))/(-1) + (-1278)/(-852). Is h at least 3/1094?
False
Let r(l) = 8*l + 41. Let c be r(-5). Are c and -3/41 nonequal?
True
Let x = -3619465/19 + 191218. Let k = -720 + x. Which is smaller: 0 or k?
k
Let b(t) = -7*t - 55. Let c be b(-8). Which is smaller: 1/201 or c?
1/201
Suppose w - 2*d - 3 = -391, 746 = -2*w - 2*d. Is -377 greater than or equal to w?
True
Let y = -512 + 1535/3. Which is smaller: 0.027 or y?
y
Let g(z) = -z**2 + 5*z + 2. Let a be g(7). Let s = a - -12. Suppose 5*p + 8 = 3. Is s != p?
True
Let o = -5 + 11. Suppose 2*h - 4 + o = -4*y, 0 = 5*y - 5*h - 20. Let z = -77 - -230/3. Is y at most as big as z?
False
Suppose 99 = k + 3*b, b = -5*k + 3*b + 529. Let o = 118 - k. Is o bigger than 41/3?
False
Let m(j) = j**2 + 5*j + 5. Let u be m(-4). Let x = 71.8 - 64. Let i = -0.8 + x. Are i and u equal?
False
Let s be 5 - (8/(-20) + (-132)/(-30)). Which is bigger: s or 5/18?
s
Let s = -28866/13 - -2220. Is s at most 6?
True
Let s = 278/7 + -40. Let d = 8.645 + -34.645. Which is smaller: s or d?
d
Let a be 20/(-2) + (-2 - -6). Let m(k) = k - 12. Let v(r) = -6*r + 60. Let c(q) = -16*m(q) - 3*v(q). Let d be c(a). Which is smaller: -2 or d?
-2
Let c(v) = 2*v**2 + v - 1. Let z be c(-1). Is z bigger than -4/79?
True
Let v(r) = r + 1. Let s be v(-3). Let w be (-42)/(-36)*(-4 - s). Does 0 = w?
False
Let w = 30 - 39. Suppose 5*r + i = 3*i - 12, -4*r + 4*i = 0. Let h be -4 + r + (-3 - -3). Is h >= w?
True
Let u be 117/12 + 3/12. Suppose -u*r = -r - 135. Which is bigger: r or 3?
r
Let n(h) = -3*h + 7. Let a(u) = 6*u - 15. Let j(k) = 4*a(k) + 9*n(k). Suppose o - 2*o = -2. Let y be j(o). Is y not equal to -3?
False
Let s be (-81)/8*572/33. Which is smaller: s or -175?
s
Let z be 4 + -5 + -1 + 20. Suppose 3*o + z = -0*o. Let p be ((-6)/(-54))/((-2)/o). Which is smaller: -0.3 or p?
-0.3
Let s be -3*(0 + 1)*138/9. Let w be ((-6)/4)/(21/(-112)*s). Which is smaller: -1 or w?
-1
Let u = -77/1737 - -30/193. Let d = 6 - 6.4. Are d and u nonequal?
True
Suppose u = -0*u - 1, 2*u = w - 3. Let y be 2*((-2)/4 - 1) + 3. Which is greater: y or w?
w
Let m be ((-1)/(-1))/(6/12). Let n(h) = 4*h**m - h**3 + 2*h - 3*h**2 + 2*h**2 - 4*h. Let r be n(1). Do r and 2/3 have the same value?
False
Let s(p) = -p + 2. Let x be s(1). Let a(n) = -7*n + 6*n**2 - 5*n**2 + 2 - 4. Let k be a(7). Is k < x?
True
Let g be 1*15/9*3. Suppose -3*k - 4*m + 12 = 0, -3*k + g = m - 7. Suppose -k*z + 18 = -6*z - x, 0 = -5*x + 10. Which is greater: z or -9?
-9
Let n(f) = 11*f + 16. Let u(p) = -7*p - 11. Let a(o) = 5*n(o) + 8*u(o). Let l be a(-6). Let y = -4268 - -4265. Which is smaller: y or l?
y
Let y(b) = 2*b**2 + 10*b - b**2 - 2*b**2 + 0*b**2 - 6. Let n be y(10). Is -4 greater than n?
True
Let l(a) = -5*a**2 + 3*a. Let v be l(-1). Is v less than -55/8?
True
Suppose -b + 29 = 3*j - 2*b, 3*j + b - 25 = 0. Let z = 1615/212 + 7/53. Which is smaller: z or j?
z
Let f = -2 - 1. Suppose 4*u + 16 = 0, -5*j - 4*u - 66 - 35 = 0. Let q = -21 - j. Is f at most as big as q?
False
Let j be (1/(-2))/(-11 - (-2187)/198). Which is bigger: -78/7 or j?
j
Let h be (-4)/(-10) - (-2)/(-5). Let y be (-34)/(-23088)*-262 - 5/(-20). Let p = y + -2/111. Is p bigger than h?
False
Let q = -199 - -199.1. Which is smaller: q or 1/69?
1/69
Suppose -2*w = 2*t - 1310, 3*w + 4 + 11 = 0. Let m be -6*1/(-14) + t/(-21). Is m at most as big as -29?
True
Let b be 3/1 - (2 - 5). Let o be (-44)/4*(-5 - 0)/5. Which is bigger: b or o?
o
Let a = -36751 + 182763/5. Let k = -200 - a. Do k and 1/2 have the same value?
False
Let c = 4148 + -4147. Let w = 69 + -116. Which is greater: c or w?
c
Let b = -2502 + 1088369/435. Let h = -1159/435 + b. Let o be ((-7)/(-3) - 1)/((-2)/3). Which is bigger: h or o?
o
Let m = 189 + -751/4. Suppose 0 = -4*r + 9*r - 2*s - 27, -3*r = -5*s - 20. Suppose -11*a - r*a + 16 = 0. Which is smaller: m or a?
a
Suppose 2 = 2*w - 0. Let s = -70109/114 + 615. Let u = s + 679/570. Is u smaller than w?
False
Let q be (400/625)/(-2 - 12/(-5)). Which is smaller: 2 or q?
q
Let m = 29 + -26. Let x(i) = -i**2 + i + 1. Let g be x(1). Let v = 3 - g. Which is bigger: v or m?
m
Let f(z) = z + 27. Let i be f(-27). Let l be -1 - (-5)/(5/2). Which is greater: i or l?
l
Let n = -2 - -3. Does -1/2254 = n?
False
Let m be (39 + -2 + 0)*1. Which is bigger: m or 31?
m
Let q = 583 + -572. Let l be (-4)/22 - 369/(-33). Is q at most as big as l?
True
Let t = -506 - -532. Do t and 2 have different values?
True
Let v(a) be the second derivative of a**3/6 + 17*a**2 + 4*a. Let d be v(-14). Suppose -4*o + 0 = d. Is o greater than or equal to -6?
True
Let n be (-1)/(-3) - (-370)/6. Let w be (-42)/(-15)*n/(-4). Let h = w - -2357/55. Is h greater than -2?
True
Let j = -786397/81 - -9709. Is 0 at most j?
True
Let g(j) = -5*j**2 - 4*j - 2. Let a = 28 + -34. Let y(b) = 4*b**2 + 3*b + 2. Let t(s) = a*y(s) - 5*g(s). Let w be t(-4). Does 6 = w?
True
Suppose 0 = -9*w + 41*w + 224. Is w greater than or equal to -270/37?
True
Let v(o) = -o**2 - 3*o + 10. Let q be v(-4). Suppose -3*k - 3 = -q*k. Which is smaller: 2 or k?
k
Suppose -6*k + 14*k - 920 = 0. Which is greater: k or 117?
117
Let o = 249 + -269. Is o > 6?
False
Let a = 982/1215 + -2/243. Is -1/3 at least as big as a?
False
Let b = -193/234 - -10/13. Let k = 43/126 + b. Suppose 16 = -3*r - 8. Which is greater: k or r?
k
Suppose 3*p - p + 3*i = 32, -5*p - 5*i + 75 = 0. Let h = p - 12. Let k = -75 + 523/7. Is h less than k?
False
Let x = 40.397 - -0.603. Is x bigger than -0.1?
True
Suppose 26*x = 23*x + 24. Let p be (-10)/25*4/x. Which is greater: 0.02 or p?
0.02
Let k be 13 + -12 + -3 + 2/1. Suppose k = -m + 4*m. Which is smaller: m or -1?
-1
Let b be 7/(-49) - 84912/84. Which is smaller: -1010 or b?
b
Let j = 196 + -197.4. Is j less than 1.5?
True
Let j = 0 + 0. Let m(q) = 3*q + 36. Let k be m(-8). Let h be -2*(k/26)/3. Is j > h?
True
Let g = 70 + -70. Suppose y = 3*y - 5*r - 41, -y - r + 3 = 0. Let f be y/68*(-1 + 2). Which is bigger: f or g?
f
Let p(q) = q**3 + 9*q**2 + 28*q + 51. Let m be p(-6). Let i = 13 - 24. Is m smaller than i?
False
Let k be 1/(1/3*1). Suppose k*d + 0*d = 90. Let y = 33 - d. Which is smaller: -2/3 or y?
-2/3
Let h = -446 - -447. Is h at least as big as 0.42?
True
Let s = 85 + -82.3. Which is greater: 0 or s?
s
Let y be 6 - ((-88)/(-168))/(29/330). Do y and 1 have different values?
True
Let q = 839 - 841. Do -0.4 and q have the same value?
False
Let t(x) be the second derivative of x**4/12 - 11*x**3/6 + 11*x**2/2 + 8*x. Let w be t(10). Suppose 3*f = r + 14, -29 = -r - 3*r - 5*f. Is r > w?
False
Suppose -t + 3*o = 0, -5*t + 5*o + 12 - 2 = 0. Suppose 0 = t*y - 10 - 5, -5*b + 405 = y. Which is greater: b or 79?
b
Let v be (8 - -2)*6/45. Let f be (4 - 3) + 10/2 - 4. Is v at least as big as f?
False
Let n = 133.036 + -133. Let h = -0.164 - n. Let l = 1.7 - 2. Which is greater: h or l?
h
Suppose 71 - 44 = 9*s. Suppose -17 = -2*y + 3* | {
"pile_set_name": "DM Mathematics"
} |
f)*(-2 + 7 - 3))*(-13 - 13 + 6).
-280*f
Expand (-1 + x**2 - 5 - 8*x**2)*(-2*x**2 + 2*x**2 - 3*x**2).
21*x**4 + 18*x**2
Expand (2*o**2 + 1 - 1)*(4*o**2 + o**2 - 4*o**2) - 3937193 - 238*o + 3937193 + 2*o**4.
4*o**4 - 238*o
Expand (-22*c + 113 - 113)*(1 + 15 + 2 + 0 + 5 - 4 + (2 - 2 + 1)*(-1 - 4 + 6) + 2 - 1 + 1 + 4 - 3 - 2).
-462*c
Expand (0*l - 3*l + 0*l)*(-20 - 133 - 66)*(4 + 0 - 5) + 4*l + 0*l + 0*l.
-653*l
Expand (0 - 3 + 2)*(1074*c**4 + 1382*c**4 + 1072*c**4).
-3528*c**4
Expand (-1 + 0 + 6)*((-3 + 3 + z)*(4*z**4 + 3*z**4 - 4*z**4) + 16 - 16 - 13*z**5 + (-2*z + 2*z - z**4)*(0*z + z - 3*z)).
-40*z**5
Expand (3*m + 2*m - 3*m)*(-229*m + 609*m + 740*m)*(-m - 3*m + 5*m).
2240*m**3
Expand (-349*y - 14711 - 567*y + 14711 + (2 + 1 - 8)*(2*y + 5*y - 5*y))*(1 + 1 - 3).
926*y
Expand (-9*r**3 - 13 + 13)*(-2*r - 9 - 2*r**2 + 5*r**2 + 10) - 2*r**2 + 2*r**2 - r**5.
-28*r**5 + 18*r**4 - 9*r**3
Expand (4 - 6 + 1)*(0*x - 5*x + 8*x) + (-2 + 3 - 3)*(-4*x + x + 2*x) + (-14 + 18 - 15)*(0*x + 0*x - 2*x).
21*x
Expand (-128 - 190 + 39)*(a - a**2 - a)*(-4 + 2 - 2)*(-1 - 2 + 0).
3348*a**2
Expand 715*r**3 + 27 - 708*r**3 - 1 + (-r + 0*r + 2*r)*(-2*r**2 + 3*r**2 - 3*r**2).
5*r**3 + 26
Expand (17*t + 7*t + 7*t)*(-12 - 12 - 13).
-1147*t
Expand (-37*i + 12*i - 195*i)*(3*i + 2*i - 2*i) + 2*i**2 - 4*i**2 - 5*i**2.
-667*i**2
Expand (-128*l - 42 + 42 + (-1 + 2 - 3)*(-7*l + 3*l + l) + 2*l + 4 - 4)*(-3*l**4 - l**2 + l**2).
360*l**5
Expand 1 - 1 + 2*b**2 + (-2 + 3 + 1)*(0*b**2 - b**2 - 9*b**2) - 8*b**2 - 7*b**2 + 6*b**2 + (-4*b + 0*b + 2*b)*(0 + 0 + 2*b) + b + b**2 - b.
-30*b**2
Expand (5*n - n - n)*(-5 + 2 + 0) + (2 - 4 + 1)*(1268 - 332*n - 1268).
323*n
Expand (1 - 3 + 3)*(3*y**4 - y + y) + 3*y**4 - 4*y + 4*y - 2*y + 2*y - 2*y**4 + (26 - 26 - 26*y**3)*(8 - 8 - 2*y).
56*y**4
Expand (-253*v**2 - 204*v**2 + 20*v**2)*(-37*v + 37*v - 29*v**2).
12673*v**4
Expand (8*b - 51 - 73 + 114)*(-b**3 + b**3 + b**3).
8*b**4 - 10*b**3
Expand (2*n - n + 7*n)*(4*n + 4*n - 6*n)*(2*n**2 - 2*n**2 + 3*n**3).
48*n**5
Expand (-1288 + 596 - 16)*(1 + 2*t - 1).
-1416*t
Expand (2*o**2 + 0*o**2 - o**2)*(0*o**3 + 4*o**3 - 3*o**3) - 758*o**3 + 760*o**3 + 2706*o**5 + 32*o**5.
2739*o**5 + 2*o**3
Expand ((-1 + 3 - 1)*(-1 + 1 - 2*s) + 2*s + 3*s - 6*s + 16 - 16 - 8*s)*(76 + 9*s - 76).
-99*s**2
Expand (2 + 3*q - 2)*(4 + 4 - 3) + (3 + 2 - 3)*(-1 + 1 - q) + (3 + 0 - 1)*(-58 + 127*q + 58).
267*q
Expand (-y**2 + 2*y**3 + y**2)*(115 + 101 - 347)*(-4 - 5 + 12).
-786*y**3
Expand (8*z + 2*z + 5*z)*(-276*z**4 + 264 - 264) + (1 - z - 1)*(-2*z**4 + 5*z**4 - z**4).
-4142*z**5
Expand (-2909*o + 1461*o + 1463*o - 5)*(-o + o + o)*(5*o + 15*o - 3*o).
255*o**3 - 85*o**2
Expand 393*k**3 + 226*k**4 - 393*k**3 + (-k**2 + 3*k**2 + 0*k**2)*(4*k**2 - 2*k**2 - 4*k**2) + 0*k**4 + 4*k**4 - 2*k**4.
224*k**4
Expand -214*a**5 + 97*a**5 + 73*a**5 - 11 + 11 + 7*a**5 + (-2*a + a**3 + 2*a)*(-4*a**2 + 2*a**2 + a**2).
-38*a**5
Expand (z - 3*z + z)*(z - 3*z + 0*z) + 2067621*z + 4262*z**2 - 2067621*z.
4264*z**2
Expand (9 + 16 - 7)*(2*x - 3*x - x + x - 2*x - x + (4 + 2 - 3)*(10 - 5 - 13)*(-x - x + 0*x)).
792*x
Expand (-4*s + 2*s + s + (-2*s + 0*s - 2*s)*(57 - 14 - 8)*(-2 + 2 - 2))*(1 - 2 - 3*s + s).
-558*s**2 - 279*s
Expand (2*z - 4*z + 4*z)*(-1 - 5 + 4) + (3 - 1 + 0)*(4 - 9 + 37)*(-1 - 3*z + 1).
-196*z
Expand (13*u + 8*u + 3*u)*(-u + 0*u - u - 12)*(8 - 44 + 15).
1008*u**2 + 6048*u
Expand (-19*l - 10*l - 2 + 12*l)*(-9 - 8 + 3).
238*l + 28
Expand 2*o**4 - 7*o**2 + 7*o**2 + (3*o**3 - 4*o**3 + 2*o**3)*(-3*o + 37*o + 41*o) + 4*o**4 - 4*o**4 - 5*o**4.
72*o**4
Expand (6 - 6 + k**3)*(2 - 3 + 4)*(-24*k - 20*k + 7*k - 2*k + 0*k + 4*k + (0 + 3 - 1)*(4*k + 3 - 3)).
-81*k**4
Expand (325 + 97 - 509 - 785)*(35 - 35 + 19*y).
-16568*y
Expand (-9*s**2 + 12 - 12 + (-5 + 5 + 3*s)*(-3 + 3 - s))*(13069*s - 13069*s + 270*s**2).
-3240*s**4
Expand -2*x**4 + 0 - 2*x - 1 + 8*x + (-3*x - 2*x**3 + 3*x)*(95426 - 1244*x - 95426).
2486*x**4 + 6*x - 1
Expand (-197*u**3 - 2265*u + 2265*u)*(-3 + 0 + 1)*(5 + 0 - 1).
1576*u**3
Expand -5*b**2 + 2*b**2 + 5*b**2 + (b - b + 2*b**2)*(-1173 + 565 - 813 - 768).
-4376*b**2
Expand (-3*l**2 + 4*l**2 - 4*l**2 + (-3 + 0 + 1)*(6*l - 6*l - 4*l**2))*(-25 + 34 + 5*l**2 + 129).
25*l**4 + 690*l**2
Expand (-225 - 301 - 650)*(-p**2 + 3*p**2 + 0*p**2).
-2352*p**2
Expand (-q**5 - 2*q**5 + 2*q**5 + (-22*q**2 - 99*q**2 + 37*q**2)*(0*q**3 + q**3 + q**3))*(1 - 2 + 2).
-169*q**5
Expand (y + 3*y - 2*y)*(2*y**3 + 17*y**3 + y**3) + (-9 - 6*y + 9)*(-6*y**3 + 5 - 5).
76*y**4
Expand (0 + 0 - m)*(193*m**2 - 289*m**2 - 430*m + 427*m)*(7 - 4 + 3).
576*m**3 + 18*m**2
Expand (28*l - 83*l + 41*l)*(540 + 18*l**3 - 540).
-252*l**4
Expand (-3 - 2*r + 3)*(1 + 2 - 2) + (-2 - 2 + 5)*(2*r + 0 + 0) + (5*r - r - 3*r)*(16 - 16 - 18) - 1 + 1 - r.
-19*r
Expand (2*f + 7*f - 5*f)*(-237 + 43 - 347)*(4*f - f - 1 - 4*f).
2164*f**2 + 2164*f
Expand 723 - 5*v**2 - 723 - 5*v + (v + 3 - 3)*(54*v + 1 - 27*v - 21*v).
v**2 - 4*v
Expand (1169*z**3 - 561*z**3 + 912*z**3 + 364*z**3)*(5*z**2 - z**2 - 3*z**2).
1884*z**5
Expand (14 - 18 - 16)*(-4*w - 5*w + w) + (12 + 4 + 4 - 1)*(2 - 2 - 2*w).
122*w
Expand (s - s - s**3)*(-10*s**2 - 2*s**2 + 5*s**2 + 7 - 7 + s**2 + s**2 - s**2 + 2*s**2 + (4*s**2 + 2*s**2 - 3*s**2)*(-3 + 0 + 4) - 4*s**2 + 6*s**2 - 3*s**2).
2*s**5
Expand (-3*c**3 + 5*c**3 - 2 + 0*c**3 + (c + c - 3*c)*(3*c**2 - 3*c**2 - 2*c**2))*(502*c**2 - 3378*c**2 - 723*c**2).
-14396*c**5 + 7198*c**2
Expand (-59*x + 59*x + 27*x**3)*(2 + 1 - 5)*(197 - 197 - 70*x**2).
3780*x**5
Expand 3*s**2 - 5*s**2 + 4*s**2 + (-2*s + 2*s + 5*s)*(1037 - 3142*s - 517 - 520).
-15708*s**2
Expand (-2*r + 0 + 0)*(-3 + 2 + 2)*(3*r + 0*r - 5*r)*((11 - 2 + 0)*(4 + 8 - 9) + 1 - 2 + 2)*(r - r - 2*r**2 - 5).
-224*r**4 - 560*r**2
Expand (0*c**2 + 33 - 70*c + 66*c + c**2)*(-122 - 117 - 154 + 42).
-351*c**2 + 1404*c - 11583
Expand 39*i**3 + i**4 - 39*i**3 + (0*i**2 + 0*i**2 - 3*i**3)*(-3*i + 0*i + 5*i) - 1 + 1 + 57*i**4 + 41*i**4.
93*i**4
Expand (1124*b - 973 + 973)*(-2 + 3 - 3) - 5 + b + 0*b + 3.
-2247*b - 2
Expand (-728*m + 728*m - 16*m**2)*(-m**3 + 6 - 6 + (3 - 3 - 2*m)*(-5*m**2 + m**2 + 2*m**2) - 7 + 8*m**3 + 7).
-176*m**5
Expand -w - w + w + (0 + 2 - 4)*(-2*w + 3 - 3) - 2 + 2 + w + (0*w - w + 3*w)*(-2 + 0 + 0) - 98*w + 210*w - 251*w.
-139*w
Expand (30*o - 3*o - 74*o)*(o - 3*o + o)*(3 - 355*o + 356*o - 5).
47*o**3 - 94*o**2
Expand -i + i + i**4 + (-i + 4*i + i)*(-i**3 + 2174*i**2 - 2174*i**2).
-3*i**4
Expand (-5*t - 2*t + 5*t)*(-69 + 20 - 16) - 2*t - t - 5*t.
122*t
Expand (-5*a**4 + 3*a**4 + 4*a**4 + (1 + 5 - 4)*(8*a**4 - 19*a**4 - 12*a**4))*(0*a - 12*a + 2*a) - 2*a**5 + 2*a**5 - 2*a**5.
438*a**5
Expand ((0*m**2 - 2*m**2 - m**2)*(72 + m - 72) + 6*m**3 + 5*m**3 - 2*m**3)*(-4*m**2 + 0*m**2 + m**2).
-18*m**5
Expand (-6677*l**3 - 5992*l**3 + 13911*l**3)*(4 - 4 + l**2).
1242*l**5
Expand (-51 + 57 - 8)*(5*m + 0*m - m).
-8*m
Expand (-j - 4*j + 2*j)*(-121100*j**3 + 121100*j**3 + 340*j**4) + 0*j**5 + 8*j**5 - 2*j**5 + j**5 - 6*j**5 + 3*j**5.
-1016*j**5
Expand (-149*s - 88*s + 60*s)*(1 - 1 + 1) + (-4 + 3 + 0)*(2*s - 5*s + 4*s) + 0*s - 2*s + 4*s.
-176*s
Expand -19*r**3 - 2 + 0*r**3 - 79*r**3 + 2*r**3 + 0*r**2 + 0*r**2 + (-3*r + 1 - 1)*(-2*r**2 + 3*r - 3*r) - 9*r**3 + 2*r**3 - 9*r**3.
-106*r**3 - 2
Expand (-12*d + 12*d + 9*d**2)*(-12*d + 5*d - 10*d) + 0*d - 3*d**3 + 0*d.
-156*d**3
Expand 5*l**3 - l**3 - 2*l**3 + l**3 + 2*l - 2*l + (-2*l**2 - 4*l**2 + 3*l**2)*(-2*l - 3 + 3) + 3*l**3 - 3*l**3 - l**3 + 194*l**3 - 3188*l - 660*l**3 + 3186*l.
-458*l**3 - 2*l
Expand (-15*f - 2*f**2 + 15*f + 5 + (-f + 2*f + f)*(2*f + 0*f - 4*f))*(8*f + 70*f - 191*f).
678*f**3 - 565*f
Expand 398*x**3 + 16*x**2 - 773*x**3 + 388*x**3 + (x - 6*x + 4*x)*(4*x**2 - 2*x**2 - x**2) - x**3 - 4*x**2 + 4*x**2.
11*x**3 + 16*x**2
Expand (488 - 70 + 514 + 763)*(0*r**4 - 4*r**4 + 2*r**4).
-3390*r**4
Expand (7*u + 8*u - 17*u + 11 - 3*u - u + 2*u - 5*u - u + 4*u + (-2 + 4 - 1)*(u + 0 + 0) - 68 + 8*u + 68 - 4*u + 5*u + u)*(2*u**2 - u**2 + u**2).
10*u**3 + 22*u**2
Expand (41 - 65 - 153)*(31*h**3 - 25*h**3 - 27*h**3).
3717*h**3
Expand (4 - 7 - 8)*(-8611*z + 8618*z + 1 + 15).
-77*z - 176
Expand (-y**4 - 2*y**5 + y**4)*(-40 - 34 + 5) + (2 + 2 - 3)*(-3 - 4*y**5 + 3).
134*y**5
Expand ((0 + 0 - 2*s)*(0 + 1 + 3) - 6*s + 2*s + s + (3 + 2 - 6)*(4*s + 0*s - 3*s))*(-198 + 43 - 140) - s - s + 3*s.
| {
"pile_set_name": "DM Mathematics"
} |
= -11449980. Round h to the nearest one hundred thousand.
2300000
Let x = 7.155 + -149.095. What is x rounded to the nearest ten?
-140
Suppose 0 = -3*w - 3*o + 12, 3 = 6*o - 3*o. Let y(d) = 42631*d**3 - 3*d**2 - 10*d + 20. Let p be y(w). Round p to the nearest one hundred thousand.
1200000
Let j = 5653.99999151 - 5654. Round j to six dps.
-0.000008
Let h = 655 + -656.22652. Round h to two decimal places.
-1.23
Let d(y) = 1686*y**3 + 7*y**2 + 8*y + 5. Let w be d(6). Let k = -199481 + w. Suppose g + 0*g - k = 0. Round g to the nearest ten thousand.
170000
Let o = 1837320 + -1837344.6384896. Let v = -3.6384962 - o. Let y = 21 - v. What is y rounded to six decimal places?
0.000007
Suppose 4*d = 5*d + 5*c + 1, -2*d - 2 = 3*c. Let f be ((-2)/(-10))/d - 26699994/30. Round f to the nearest 1000000.
-1000000
Let w(c) = 32499999*c**3 + c. Let x(i) = -42*i**3 - i**2 + 1. Let d be x(-1). Let r = d + -41. Let v be w(r). Round v to the nearest one million.
33000000
Let c = 20.6216058 + 95965.2693942. Let z = -95946 + c. Let v = z + -40. Round v to 2 dps.
-0.11
Let c be (-45000)/40*(879325/15 - -5). Round c to the nearest one million.
-66000000
Let l(v) = 5*v**2 + 6*v**3 + 1 + 3*v - 16*v - 9*v**3 + 8. Suppose -9*f + 5*f + 36 = 0. Let a be l(f). Round a to the nearest 100.
-1900
Suppose 856 = -94*n + 522*n. Let d = 3 - -62. Suppose d = -y + 3*b, 4*y - 113 + 413 = n*b. Round y to the nearest 10.
-80
Let f(o) = 8*o + 6. Let t(r) = 9*r + 7. Let n(h) = 3*f(h) - 2*t(h). Let w be n(-1). Let x be 460/(-3)*(2 - 2/w). Round x to the nearest 100.
-500
Let b = -0.031 + 1.731. Let k = -15.156 + b. Let o = k - 0.144. Round o to 0 dps.
-14
Let b = 1117.199964708 - 1117.2. What is b rounded to five decimal places?
-0.00004
Let c = 79.19824021445 - -6860047.90166578555. Let z = 6860134 - c. Let k = z + -6.9. Round k to 5 dps.
0.00009
Let u = -2091.3 - -2091.414363. What is u rounded to 3 decimal places?
0.114
Let d = -27.1341 + 446.5161. Let o = d + -420. What is o rounded to 1 decimal place?
-0.6
Let u(n) = -7*n**2 - 14*n**2 + 1385000 + 12*n**2. Let p be u(0). Round p to the nearest one hundred thousand.
1400000
Let c be (21/28)/(9/4 + -2). Suppose 5*x + 8*g - 3*g - 35 = 0, 4*x = -c*g + 23. Suppose -3*l - 20759996 = x*u, -u + 1 + 1 = 0. Round l to the nearest 1000000.
-7000000
Let b = -3.643 + 3.6432367. Round b to 5 decimal places.
0.00024
Suppose 32 = 11*l - 23. Suppose -2*h + 9*b + 14 = 11*b, 2*b = l*h - 14. Suppose 4*r - 5 = 4*o + 5255, h*o + 5285 = -r. Round o to the nearest 100.
-1300
Let u = 8799.1282836 + -8815.0857. Let w = u - 0.0427116. Let n = w + 16. What is n rounded to 5 dps?
-0.00013
Let a = -0.31744 + 0.07071. Let v = 0.2709 + a. Round v to three dps.
0.024
Suppose -3*o - 103 = 134. Let u = 79 + o. Suppose 5*v + z - 433996 = u, -3*v + 4*z + 260416 = -0*v. Round v to the nearest 10000.
90000
Let o = 158 + -157.806. Let k = -235.806 - o. Let v = k - -235.99731. What is v rounded to 4 dps?
-0.0027
Let d = 44623.9542 - 44502. Let q = 122 - d. What is q rounded to 3 decimal places?
0.046
Let w = -5018076708 - -5018077130.9999793. Let z = -423 + w. What is z rounded to 6 decimal places?
-0.000021
Let z = -3.8283 + 0.0523. Let j = z + 3.7757899. What is j rounded to 5 decimal places?
-0.00021
Let x = 28517705 + -14409705. Round x to the nearest one hundred thousand.
14100000
Let y be (-12)/7 - 207444888/882. Round y to the nearest 10000.
-240000
Let r = -0.14 - -0.48. Let g = -8.52089025 - -8.86089. Let n = r - g. Round n to seven decimal places.
0.0000003
Let d = -3950 + 3950.000000578. What is d rounded to 7 dps?
0.0000006
Let w = -5.4667 - -5.396. What is w rounded to three decimal places?
-0.071
Suppose -b = 3, 26*b - 149 = -5*i + 29*b. Let q(k) = 6*k - 196. Let w be q(i). Round w to 0 decimal places.
-28
Let u = 3441333.9609 - 3440501. Let r = u - 833. What is r rounded to two dps?
-0.04
Let r = -137.8 + 789.8. Let n = r + -652.00291. What is n rounded to 4 dps?
-0.0029
Suppose 8*s - 25 = 23. Suppose 5*n + 648195 = -4*p + s*p, 5*p - 1620498 = 2*n. Round p to the nearest ten thousand.
320000
Let b = 118.25 - 129.213. Let c = b + 11. Let k = 8.737 - c. What is k rounded to the nearest integer?
9
Let o = -265 - -16. Let n = -174.488 + -74.755. Let j = o - n. Round j to 2 decimal places.
0.24
Let m = -0.90634669 + 0.9064. Round m to 6 dps.
0.000053
Let d = -14477 - -14476.999983419. What is d rounded to seven decimal places?
-0.0000166
Let d = -303 + 466. Let x = 163.0000164 - d. What is x rounded to six dps?
0.000016
Let p = -15 - 41. Let g = -54.97 - p. Let j = 1.03047 - g. Round j to four decimal places.
0.0005
Let g = 1830.9197 + -1831. Let z = 100.4803 + g. What is z rounded to the nearest ten?
100
Let x = 10.5699982934 - 10.57. What is x rounded to 7 dps?
-0.0000017
Let y(q) = -689*q**2 - 68*q - 190. Let o be y(-20). What is o rounded to the nearest 1000?
-274000
Let b = -3.919 + -374.581. Round b to the nearest 10.
-380
Let f = -26258.995 - -26329. Let m = 70 - f. Round m to 1 dp.
0
Let m(p) = 2*p**3 + p**2 - 6*p - 7. Let h be m(-2). Let v be (-175)/10*((-300)/h + 0). What is v rounded to the nearest 100?
-800
Let j = 3304.01027 + -3304. What is j rounded to 4 decimal places?
0.0103
Let r be (0 - -1) + 0 + 1. Suppose r*s = 1075 - 217. Suppose s + 51 = -6*z. Round z to the nearest ten.
-80
Let f = 462.591 - 463. Let k = 0.41214 + f. What is k rounded to 3 decimal places?
0.003
Let o = 833.1851 - 0.1851. Let w = -833.0778 + o. Round w to 3 dps.
-0.078
Let s = -38646 - -38716.663. What is s rounded to the nearest integer?
71
Let y be (-6832044)/(-8) + (-55)/10. Round y to the nearest ten thousand.
850000
Let k = 152861 - 69291. What is k rounded to the nearest ten thousand?
80000
Let t = 2771 + -2772.3914. What is t rounded to two decimal places?
-1.39
Let l(h) = h**2 + 2*h - 5. Let t be l(2). Suppose -15303 = -2*k + t*g, g - 30607 = -4*k + 6*g. Let u be (-3 - k*49)*16. Round u to the nearest 1000000.
-6000000
Let d = 8.0746 - 8.479. Round d to 2 dps.
-0.4
Let j = -7692.99983308 - -7693. Round j to five dps.
0.00017
Let w = -7435.6697 + 7432.3. Round w to one decimal place.
-3.4
Suppose -21*c = -65*c + 176. Suppose -c*y - 217590 = 2*g, -y - 32040 = -3*g + 22375. Round y to the nearest one thousand.
-54000
Suppose 12*t - 2*l - 6228004 = 9*t, 3*l + 6228006 = 3*t. What is t rounded to the nearest one million?
2000000
Let f = 456140 - 455896.00291. Let p = f - 244. What is p rounded to 3 decimal places?
-0.003
Let k = 2063 - 1234. Let p be 45000/(-27)*-6*k. Round p to the nearest one million.
8000000
Let h = 8.8513 - -0.7107. Round h to zero dps.
10
Let v = 6116 - 7903. Round v to the nearest one hundred.
-1800
Let v(n) = -147104*n + 272. Let p = -381 + 374. Let g be v(p). Round g to the nearest one hundred thousand.
1000000
Let i = -6.36 + 6.359997597. Round i to seven decimal places.
-0.0000024
Let z = -0.55 - -3.65. Let j = 52.1 - z. Let x = 48.999935 - j. Round x to 5 decimal places.
-0.00007
Let m be (-9 - -3)/(1/((-20)/12)). Suppose -m = 2*z, 2*b - 11*z + 113195 = -10*z. What is b rounded to the nearest 1000?
-57000
Let w = -146 + 27. Let h = w + 119.0148. Round h to 2 decimal places.
0.01
Suppose 0 = -2*y + 110254 + 96480 - 63134. Round y to the nearest ten thousand.
70000
Let n = 633.84136156 + 5.16260744. Let s = 639 - n. What is s rounded to 4 decimal places?
-0.004
Let b = -173.967 - -61.37. What is b rounded to 0 dps?
-113
Let q be 7/(56/30) + (-3)/(-12). Let g be (-101003 - -3)/(q + 3/(-1)). Round g to the nearest ten thousand.
-100000
Let k = 21027.641 - 21014. Round k to 0 dps.
14
Let a = -3183 - -3177.023. Round a to 1 dp.
-6
Suppose -15*f + 14*f = -2. Suppose f*x = -3*x + 66900. Suppose 4*s = 2*a + s + 13385, 4*s = 2*a + x. Round a to the nearest 1000.
-7000
Let c = 0.004404 - 0.0044088191. Round c to seven decimal places.
-0.0000048
Let y = 2471.87 - 2488. Round y to the nearest 10.
-20
Let n = -2258.999998438 + 2259. Round n to 7 decimal places.
0.0000016
Suppose 38*m - 42*m - 234382 = 6*x, -4*m + 2*x = 234406. What is m rounded to the nearest 1000000?
0
Let d = 751.65 + -500.56. Round d to the nearest integer.
251
Let y = -4627.6924 + 4636.4. Let q = y + 0.0124. Let t = q + -8.71607. Round t to three decimal places.
0.004
Let q = 5053021 | {
"pile_set_name": "DM Mathematics"
} |
50013?
-12454150021
In base 2, what is -101 + 1000000001010110111100110?
1000000001010110111100001
In base 3, what is -10222 + -10021122010?
-10021210002
In base 6, what is 130143531 - 4?
130143523
In base 4, what is 23111322122 + -2?
23111322120
In base 15, what is 47cc34b - 4?
47cc347
In base 2, what is 101 + -111001000000110000010110011?
-111001000000110000010101110
In base 8, what is 1565 + 2056?
3643
In base 4, what is 2020 - -123013321?
123022001
In base 8, what is 607 + 37375?
40204
In base 11, what is -3595 - 4132?
-7717
In base 15, what is 2028 - 1e1?
1d37
In base 7, what is 5305201 - 261?
5304610
In base 15, what is -ac - aae2?
-ab9e
In base 8, what is -1070240 - 573?
-1071033
In base 14, what is -b13 + -4351?
-5064
In base 6, what is -23321 - -440?
-22441
In base 3, what is -22211022211 + -11002?
-22211110220
In base 4, what is -13301 - 221023?
-300330
In base 15, what is 6 + -635c2e6?
-635c2e0
In base 12, what is 2511 + -3bb97?
-39686
In base 4, what is -10212112 + -21222?
-10300000
In base 13, what is -6a980 - 43?
-6a9c3
In base 4, what is 1303 - 10222100212?
-10222032303
In base 16, what is -443c + f1?
-434b
In base 9, what is -25 + -460658?
-460684
In base 7, what is 103021600 + -2?
103021565
In base 15, what is 2 + -1d414cdc?
-1d414cda
In base 14, what is -645b90 + -3?
-645b93
In base 9, what is 12 + -8134410?
-8134387
In base 14, what is 5291c - 172?
5278a
In base 13, what is 17 - -2615bab?
2615bc5
In base 3, what is 110101 + -20121201101?
-20121021000
In base 14, what is 7 + 250a073?
250a07a
In base 4, what is -32311230 + -100?
-32311330
In base 9, what is -184653 - 342?
-185105
In base 15, what is da + -b632d?
-b6243
In base 5, what is -210 + 110040124?
110034414
In base 12, what is a5608 + -35?
a5593
In base 7, what is 525 + 2122323?
2123151
In base 3, what is -10 - 111012111202220121?
-111012111202220201
In base 15, what is -459 - -3820?
33b6
In base 10, what is 4401289 - 4?
4401285
In base 11, what is -1 + 32325699?
32325698
In base 3, what is 1011102 - 20002122011?
-20001110202
In base 4, what is 2323 + 13303000?
13311323
In base 14, what is 242 - 837?
-5d5
In base 15, what is -2c9b17 - -1?
-2c9b16
In base 16, what is 46 + -10640?
-105fa
In base 15, what is -15a4878 - -6?
-15a4872
In base 5, what is -13243010242 + -4?
-13243010301
In base 6, what is 3 - 1104440200?
-1104440153
In base 13, what is -19001b7 - -21?
-1900196
In base 8, what is -317122 + -154?
-317276
In base 15, what is -387 + 3b64?
37cc
In base 5, what is 213 + -21213332133?
-21213331420
In base 15, what is -d45e6 + -46e?
-d4a65
In base 3, what is 1101 + -20200012100?
-20200010222
In base 11, what is -29 - -810aa1?
810a73
In base 16, what is 20b4574 + 4?
20b4578
In base 3, what is 20200010000222 + 1212?
20200010002211
In base 4, what is 1232120302010 + -3?
1232120302001
In base 16, what is -2495 - -1c9?
-22cc
In base 3, what is -2002020001122201200 + 12?
-2002020001122201111
In base 14, what is 1729c76 + -9?
1729c6b
In base 6, what is -351 + -50243102?
-50243453
In base 13, what is -c988 - -72?
-c916
In base 14, what is d57b1 + 217?
d59c8
In base 11, what is -62584798 + 7?
-62584791
In base 15, what is 3d2 + -35b6?
-31d4
In base 4, what is -101321 - 112312113?
-113020100
In base 4, what is 11 + 2023223301?
2023223312
In base 11, what is 0 + 673996?
673996
In base 16, what is -4 - 2219?
-221d
In base 10, what is 5919 + 694?
6613
In base 13, what is -72aa + 283?
-7027
In base 6, what is 13435254 + -1115?
13434135
In base 12, what is -3a68 - -a004?
6158
In base 16, what is e497 + 325?
e7bc
In base 5, what is 22123 - 2443331?
-2421203
In base 6, what is -15043554 + -4?
-15044002
In base 5, what is 112 + 104330?
104442
In base 10, what is -5 + -14722152?
-14722157
In base 14, what is 3202d - -192?
321c1
In base 10, what is -242461 + 793?
-241668
In base 9, what is -2426 + 660531?
657104
In base 4, what is -333130330122 - -323?
-333130323133
In base 8, what is 3 + -1375532?
-1375527
In base 6, what is -2 - 45503145?
-45503151
In base 7, what is 2515365002 - 3?
2515364666
In base 9, what is 4 + -215210777?
-215210773
In base 10, what is -10331680 - -4?
-10331676
In base 4, what is 301 - 211103031332?
-211103031031
In base 4, what is -111222 - -10113032?
10001210
In base 16, what is b + 1d8d32?
1d8d3d
In base 14, what is 3 + 6c8c14?
6c8c17
In base 12, what is 41 + 9542?
9583
In base 6, what is -555431 + -2104?
-1001535
In base 10, what is 1890 + -150671?
-148781
In base 4, what is -3122 - -1333113103?
1333103321
In base 2, what is -1101111000010010001001011 + -10?
-1101111000010010001001101
In base 5, what is 20 - 31320440413?
-31320440343
In base 15, what is 0 - -974a3?
974a3
In base 9, what is -1 - 212821?
-212822
In base 5, what is 4 - 103100020?
-103100011
In base 2, what is -11101101101100011 - -1111000111?
-11101011110011100
In base 6, what is -10550214 - -20?
-10550154
In base 8, what is -751 + 12400?
11427
In base 4, what is -10302 - 1012001?
-1022303
In base 12, what is -779325 - -4?
-779321
In base 9, what is 10 + 287283?
287303
In base 4, what is 3331330011 + 13?
3331330030
In base 15, what is -2259 - 2dd?
-2547
In base 4, what is 312301120 - 213?
312300301
In base 15, what is -151390b - 3?
-151390e
In base 12, what is 185a + -5bb0?
-4352
In base 11, what is -55a + -938158?
-938707
In base 12, what is 59 - -396903?
396960
In base 15, what is -1ded7a + -5?
-1ded80
In base 16, what is 45052b - -d?
450538
In base 4, what is -2 - 23231232203?
-23231232211
In base 12, what is 39153a + -5?
391535
In base 3, what is 22122100021 + -100?
22122022221
In base 9, what is -24522680 + -3?
-24522683
In base 10, what is 1323729 - 47?
1323682
In base 9, what is -1 + 12738714?
12738713
In base 9, what is 8110 + -303?
7706
In base 11, what is -2 - 1a73a90?
-1a73a92
In base 7, what is -304 - 346?
-653
In base 16, what is 5d4 + 1ade5?
1b3b9
In base 13, what is -27b06b5 + -2?
-27b06b7
In base 4, what is 0 - -213032010331?
213032010331
In base 6, what is -1222 + -2330121?
-2331343
In base 3, what is 1120120010222 - -121210?
1120120202202
In base 4, what is -130013 - -21333111?
21203032
In base 16, what is 164 - 7e30a?
-7e1a6
In base 5, what is -1340 - -341242130?
341240240
In base 16, what is -12b + ed61?
ec36
In base 7, what is -3616354 - 155?
-3616542
In base 7, what is 52 + 1325554?
1325636
In base 11, what is -5 + 4aaa692?
4aaa688
In base 13, what is 13333 - -c449?
2277c
In base 12, what is -1a5 + 41a05?
41820
In base 3, what is 1021102112222201012 - -1?
1021102112222201020
In base 16, what is 4 - -619e2e?
619e32
In base 8, what is -17153 - 4475?
-23650
In base 6, what is -1 - 1021225522?
-1021225523
In base 10, what is 80581 - 328?
80253
In base 7, what is 251322106 + 22?
251322131
In base 3, what is -112012221100221112 - 10?
-112012221100221122
In base 10, what is -174 - 6628?
-6802
In base 14, what is -a + 37ac481?
37ac475
In base 2, what is -111010100011111001000 + -11010?
-111010100011111100010
In base 15, what is -1d9 - e3aa3?
-e3c8c
In base 12, what is 832 - -5808?
643a
In base 16, what is -1 - -901e09?
901e08
In base 14, what is 5 - -4061c909?
4061c910
In base 16, what is 3 - 46e30?
-46e2d
In base 10, what is -281 - -106672?
106391
In base 6, what is -551 + -133111031?
-133112022
In base 12, what is -2728a2 - 8?
-2728aa
In base 15, what is -9 + 9c2bc8?
9c2bbe
In base 13, what is 3 - 1c9b4bb?
-1c9b4b8
In base 15, what is -5173 - -15?
-515d
In base 8, what is -55 + -763511?
-763566
In base 13, what is 1 - 10033?
-10032
In base 7, what is 2 + -153520542?
-153520540
In base 4, what is 331212 + 2213020?
3210232
In base 13, what is 0 + -16bb3c5?
-16bb3c5
In base 7, what is 34362461563 - 0?
34362461563
In base 15, what is 968e + -188?
9506
In base 3, what is 22022220 + 0?
22022220
In base 15, what is a06d3a + 2?
a06d3c
In base 9, what is -428170 - -402?
-427667
In base 12, what is 18681 - 41a?
18263
In base 4, what is 12 + -23232310300?
-23232310222
In base 7, what is -56 + -36265?
-36354
In base 4, what is -13202 - 33013202?
-33033010
In base 13, what is -117 + -3254?
-336b
In base 9, what is 7 - -82762?
82770
In base 10, what is 286605458 + 0?
286605458
In base 11, what is 3a90 - -1a199?
23179
In base 14, what is 20 - -373c51?
373c71
In base 15, what is 283636 + e? | {
"pile_set_name": "DM Mathematics"
} |
.38
Round 0.00000012 to 7 decimal places.
0.0000001
What is -4.69 rounded to the nearest integer?
-5
What is -0.000011296 rounded to 6 decimal places?
-0.000011
What is 2100700 rounded to the nearest ten thousand?
2100000
What is 0.1451 rounded to one dp?
0.1
What is 0.32294 rounded to three decimal places?
0.323
Round 0.00003315 to 5 dps.
0.00003
Round -0.000030496 to 5 dps.
-0.00003
Round -0.0032731 to four dps.
-0.0033
Round 2855000 to the nearest one million.
3000000
Round -0.323926 to one dp.
-0.3
Round 0.1361 to 3 decimal places.
0.136
What is -3730 rounded to the nearest 100?
-3700
Round 0.0000736 to five decimal places.
0.00007
Round -117.49 to zero decimal places.
-117
Round 0.000375155 to six decimal places.
0.000375
What is 0.000134271 rounded to five dps?
0.00013
What is -0.025958 rounded to four decimal places?
-0.026
Round -0.000039398 to five dps.
-0.00004
Round -71.301 to 1 decimal place.
-71.3
Round -718500 to the nearest 100000.
-700000
Round 165190 to the nearest 10000.
170000
What is -0.004898 rounded to 5 dps?
-0.0049
Round 0.02294 to 3 decimal places.
0.023
Round 261.9 to the nearest 100.
300
Round -0.0001809 to five dps.
-0.00018
Round -0.00133402 to 5 dps.
-0.00133
Round 0.236893 to 3 decimal places.
0.237
What is 8.538 rounded to zero dps?
9
What is 1.12697 rounded to 1 decimal place?
1.1
Round 58.932 to zero decimal places.
59
Round -1712050 to the nearest 100000.
-1700000
Round -0.000000393 to 7 dps.
-0.0000004
Round -301.3 to the nearest 10.
-300
Round -0.0018 to three decimal places.
-0.002
Round 168.8 to the nearest one hundred.
200
What is -29284 rounded to the nearest one thousand?
-29000
Round -0.534 to one decimal place.
-0.5
What is -0.000022778 rounded to 7 dps?
-0.0000228
What is 12.9323 rounded to one decimal place?
12.9
What is 20300 rounded to the nearest 1000?
20000
Round 1120660 to the nearest one hundred thousand.
1100000
Round -6.512 to one dp.
-6.5
Round 172 to the nearest ten.
170
Round 1940 to the nearest one thousand.
2000
What is 0.029 rounded to 2 dps?
0.03
What is -279500 rounded to the nearest one thousand?
-280000
What is -1113.33 rounded to the nearest one hundred?
-1100
What is -94920 rounded to the nearest 10000?
-90000
Round 25.64 to the nearest integer.
26
Round -282620000 to the nearest 1000000.
-283000000
What is -0.044136 rounded to two dps?
-0.04
Round -0.001743 to 5 dps.
-0.00174
What is 3.61 rounded to 1 decimal place?
3.6
Round -0.000067241 to 6 dps.
-0.000067
Round -0.0442268 to 2 decimal places.
-0.04
What is 24.12 rounded to the nearest integer?
24
Round 9165000 to the nearest one hundred thousand.
9200000
What is 0.00000021406 rounded to 7 decimal places?
0.0000002
Round 0.0001234 to five decimal places.
0.00012
Round -0.0059364 to 5 dps.
-0.00594
Round 0.001256 to four decimal places.
0.0013
Round 0.396 to 2 decimal places.
0.4
Round 16540 to the nearest 1000.
17000
What is 42.701 rounded to 1 dp?
42.7
Round 1116870 to the nearest 100000.
1100000
What is -68.995 rounded to zero decimal places?
-69
What is 1.58 rounded to 1 decimal place?
1.6
Round 4989 to the nearest one hundred.
5000
What is 103.301 rounded to zero decimal places?
103
Round 0.00086 to 4 decimal places.
0.0009
Round -0.6385 to one decimal place.
-0.6
What is -0.0118471 rounded to 3 dps?
-0.012
Round -0.00016 to 5 dps.
-0.00016
What is -0.0000378 rounded to 5 dps?
-0.00004
Round -0.000062377 to 6 decimal places.
-0.000062
What is 0.5592 rounded to one dp?
0.6
What is 0.0014532 rounded to 3 dps?
0.001
What is -415050 rounded to the nearest 100000?
-400000
What is -49.15 rounded to 0 decimal places?
-49
What is 631 rounded to the nearest one hundred?
600
What is 0.0002711 rounded to five dps?
0.00027
What is -34301000 rounded to the nearest one million?
-34000000
Round -0.0016056 to 4 decimal places.
-0.0016
What is 0.000023999 rounded to seven dps?
0.000024
Round 0.000295 to four decimal places.
0.0003
Round 13.33 to 1 dp.
13.3
Round 445.93 to the nearest ten.
450
Round -0.000923 to four dps.
-0.0009
What is -0.000005698 rounded to 7 decimal places?
-0.0000057
What is -2174.85 rounded to the nearest 100?
-2200
Round -0.0000047 to seven dps.
-0.0000047
What is 1268.3 rounded to the nearest ten?
1270
What is 53260 rounded to the nearest one thousand?
53000
What is 0.000000535 rounded to 7 dps?
0.0000005
What is 65700 rounded to the nearest one thousand?
66000
What is 0.0000029787 rounded to six decimal places?
0.000003
Round -0.7873 to 2 decimal places.
-0.79
Round -5609 to the nearest one thousand.
-6000
What is -0.00001301 rounded to five dps?
-0.00001
Round 35281000 to the nearest 1000000.
35000000
Round 0.00000644313 to 6 decimal places.
0.000006
Round 1.8755 to 1 decimal place.
1.9
Round -38900 to the nearest 10000.
-40000
Round 733450000 to the nearest one million.
733000000
Round 0.0002629 to five decimal places.
0.00026
Round 0.00019397 to six decimal places.
0.000194
Round 83.33 to the nearest integer.
83
What is 0.10186 rounded to 3 dps?
0.102
What is 1000000 rounded to the nearest one hundred thousand?
1000000
What is -55.035 rounded to the nearest integer?
-55
Round -51267000 to the nearest one million.
-51000000
Round -0.2512 to three decimal places.
-0.251
What is -211000 rounded to the nearest 100000?
-200000
What is -0.117625 rounded to two dps?
-0.12
Round 98380 to the nearest one thousand.
98000
Round -0.0051727 to 4 dps.
-0.0052
What is -3949000 rounded to the nearest 100000?
-3900000
Round 0.983 to 1 decimal place.
1
Round 251 to the nearest 100.
300
What is 0.000004427 rounded to 6 dps?
0.000004
What is 210 rounded to the nearest integer?
210
What is 6795000 rounded to the nearest 1000000?
7000000
Round 729200 to the nearest ten thousand.
730000
Round 0.0003007 to 5 dps.
0.0003
What is -0.000004772 rounded to seven dps?
-0.0000048
Round -0.000069619 to 7 dps.
-0.0000696
What is -0.00000921 rounded to 6 decimal places?
-0.000009
Round 1936400 to the nearest ten thousand.
1940000
What is -0.011102 rounded to four dps?
-0.0111
Round -6318 to the nearest 10000.
-10000
What is -4390000 rounded to the nearest one million?
-4000000
Round -8179900 to the nearest one million.
-8000000
What is 171.4 rounded to 0 decimal places?
171
Round -0.000295832 to six decimal places.
-0.000296
Round 848700 to the nearest 10000.
850000
What is -185000 rounded to the nearest one hundred thousand?
-200000
What is 0.13253 rounded to 2 dps?
0.13
Round -0.0002369 to four decimal places.
-0.0002
Round 282 to the nearest one hundred.
300
Round -585060 to the nearest 100000.
-600000
Round 0.000010409 to five dps.
0.00001
What is -0.000005797 rounded to six decimal places?
-0.000006
Round -1029.78 to the nearest 100.
-1000
Round 1.4524 to the nearest integer.
1
Round -0.000002982 to 7 decimal places.
-0.000003
Round 351170 to the nearest one thousand.
351000
What is -79260 rounded to the nearest one thousand?
-79000
What is 81.79 rounded to 0 dps?
82
What is 3492000 rounded to the nearest one hundred thousand?
3500000
What is 0.0033516 rounded to 5 dps?
0.00335
What is -0.083246 rounded to three decimal places?
-0.083
What is -16.304 rounded to one decimal place?
-16.3
Round 17622 to the nearest one thousand.
18000
Round -0.0000044799 to 7 decimal places.
-0.0000045
What is 0.0116298 rounded to 5 dps?
0.01163
Round -0.18519 to three decimal places.
-0.185
What is 2057.17 rounded to the nearest one hundred?
2100
Round -5449.1 to the nearest one hundred.
-5400
What is -0.61868 rounded to two decimal places?
-0.62
What is -621.11 rounded to zero dps?
-621
What is 3040 rounded to the nearest one hundred?
3000
What is 0.000001008 rounded to 7 decimal places?
0.000001
Round 15.46 to zero dps.
15
Round 0.0118802 to four dps.
0.0119
Round 0.00000073469 to 7 dps.
0.0000007
Round -0.0006463 to 5 dps.
-0.00065
Round -111070000 to the nearest 1000000.
-111000000
What is -0.089613 rounded to two dps?
-0.09
Round -561000 to the nearest 100000.
-600000
Round 0.0000019731 to six dps.
0.000002
Round 145500 to the nearest 10000.
150000
What is 30.8314 rounded to 1 dp?
30.8
What is 6771.3 rounded to the nearest one thousand?
7000
Round -0.00007376 to 5 decimal places.
-0.00007
Round -918 to the nearest 10.
-920
Round -474460 to the nea | {
"pile_set_name": "DM Mathematics"
} |
-3*b**3 - 6*b**2 + b + 44
What is the o'th term of -16052, -32116, -48194, -64292, -80416, -96572, -112766?
-o**3 - o**2 - 16054*o + 4
What is the r'th term of -441, -753, -1041, -1305, -1545?
12*r**2 - 348*r - 105
What is the y'th term of 19859, 79437, 178733, 317747, 496479, 714929?
19859*y**2 + y - 1
What is the y'th term of 75409, 75469, 75529, 75589?
60*y + 75349
What is the q'th term of -1012, -1024, -1046, -1084, -1144, -1232, -1354, -1516?
-q**3 + q**2 - 8*q - 1004
What is the o'th term of -1856, -1954, -2068, -2204, -2368?
-o**3 - 2*o**2 - 85*o - 1768
What is the r'th term of 3570, 14375, 32392, 57627, 90086, 129775, 176700, 230867?
r**3 + 3600*r**2 - 2*r - 29
What is the n'th term of 73, 194, 365, 562, 761, 938, 1069?
-4*n**3 + 49*n**2 + 2*n + 26
What is the p'th term of -1439, -619, 747, 2659?
273*p**2 + p - 1713
What is the g'th term of -214724, -429444, -644158, -858866, -1073568, -1288264?
3*g**2 - 214729*g + 2
What is the m'th term of 10414, 10411, 10408?
-3*m + 10417
What is the f'th term of 79, 271, 549, 907, 1339, 1839, 2401?
-f**3 + 49*f**2 + 52*f - 21
What is the q'th term of -2445, -4953, -7461, -9969, -12477?
-2508*q + 63
What is the u'th term of -188, -655, -1402, -2429?
-140*u**2 - 47*u - 1
What is the r'th term of -37, 57, 143, 215, 267?
-r**3 + 2*r**2 + 95*r - 133
What is the c'th term of -61953, -123899, -185845, -247791?
-61946*c - 7
What is the u'th term of 137, 215, 317, 455, 641, 887, 1205, 1607?
2*u**3 + 64*u + 71
What is the t'th term of -1911, -1191, -471?
720*t - 2631
What is the y'th term of 43606, 87210, 130814, 174418, 218022?
43604*y + 2
What is the t'th term of -9046, -9064, -9086, -9106, -9118, -9116?
t**3 - 8*t**2 - t - 9038
What is the u'th term of -123, -457, -1007, -1767, -2731?
u**3 - 114*u**2 + u - 11
What is the w'th term of 88, 478, 1166, 2152, 3436, 5018?
149*w**2 - 57*w - 4
What is the v'th term of 1264, 2293, 3310, 4315, 5308, 6289?
-6*v**2 + 1047*v + 223
What is the b'th term of 252, 1007, 2266, 4029, 6296, 9067, 12342?
252*b**2 - b + 1
What is the v'th term of -1002959, -2005918, -3008877?
-1002959*v
What is the m'th term of -1601, -6385, -14357, -25517, -39865, -57401?
-1594*m**2 - 2*m - 5
What is the t'th term of 23, -126, -553, -1396, -2793, -4882?
-23*t**3 - t**2 + 15*t + 32
What is the l'th term of -60, -217, -472, -825, -1276?
-49*l**2 - 10*l - 1
What is the v'th term of 3981, 3990, 3999, 4002, 3993?
-v**3 + 6*v**2 - 2*v + 3978
What is the s'th term of -1982, -1977, -1972, -1967?
5*s - 1987
What is the w'th term of 91135, 182281, 273439, 364615, 455815, 547045?
w**3 + 91139*w - 5
What is the d'th term of 138, 119, 106, 105, 122, 163, 234, 341?
d**3 - 3*d**2 - 17*d + 157
What is the k'th term of 761, 687, 613, 539?
-74*k + 835
What is the g'th term of -40312, -40330, -40380, -40480, -40648, -40902, -41260, -41740?
-3*g**3 + 2*g**2 - 3*g - 40308
What is the m'th term of 68, -14, -144, -316, -524, -762, -1024, -1304?
m**3 - 30*m**2 + m + 96
What is the v'th term of -5491, -10994, -16495, -21994, -27491, -32986, -38479?
v**2 - 5506*v + 14
What is the d'th term of 342, 352, 448, 696, 1162?
11*d**3 - 23*d**2 + 2*d + 352
What is the z'th term of -843, -1531, -2219?
-688*z - 155
What is the o'th term of 224, -326, -1244, -2530, -4184?
-184*o**2 + 2*o + 406
What is the z'th term of 15470, 30931, 46392?
15461*z + 9
What is the s'th term of 176, 134, 60, -52, -208, -414, -676?
-s**3 - 10*s**2 - 5*s + 192
What is the b'th term of 15545, 31087, 46643, 62219, 77821, 93455?
b**3 + b**2 + 15532*b + 11
What is the i'th term of 2381, 4538, 6697, 8858, 11021, 13186?
i**2 + 2154*i + 226
What is the o'th term of 10577, 10642, 10829, 11198, 11809?
10*o**3 + o**2 - 8*o + 10574
What is the h'th term of 2500, 4974, 7448, 9922, 12396, 14870?
2474*h + 26
What is the m'th term of -7548, -15097, -22646, -30195, -37744?
-7549*m + 1
What is the y'th term of -1786170, -1786166, -1786160, -1786152, -1786142, -1786130, -1786116?
y**2 + y - 1786172
What is the h'th term of -71, -259, -665, -1397, -2563, -4271?
-18*h**3 - h**2 - 59*h + 7
What is the n'th term of -123, -270, -465, -732, -1095, -1578?
-4*n**3 - 119*n
What is the b'th term of -277811, -277813, -277815, -277817?
-2*b - 277809
What is the u'th term of 497, 369, 241, 113, -15, -143?
-128*u + 625
What is the z'th term of 481, 658, 837, 1018, 1201, 1386, 1573?
z**2 + 174*z + 306
What is the a'th term of -340, -689, -1038?
-349*a + 9
What is the i'th term of 97, 200, 287, 346, 365?
-2*i**3 + 4*i**2 + 105*i - 10
What is the f'th term of 2902, 5888, 8874?
2986*f - 84
What is the b'th term of 5095, 5102, 5109, 5116?
7*b + 5088
What is the b'th term of -3540, -14347, -32360, -57579, -90004, -129635, -176472?
-3603*b**2 + 2*b + 61
What is the r'th term of 3330, 3315, 3300?
-15*r + 3345
What is the b'th term of -40949, -40945, -40941, -40937, -40933?
4*b - 40953
What is the i'th term of -942, -1867, -2792, -3717?
-925*i - 17
What is the g'th term of 31, -132, -403, -782?
-54*g**2 - g + 86
What is the t'th term of 5547, 5525, 5535, 5589, 5699?
2*t**3 + 4*t**2 - 48*t + 5589
What is the k'th term of -296435, -592874, -889311, -1185746?
k**2 - 296442*k + 6
What is the t'th term of -44747, -44765, -44783?
-18*t - 44729
What is the a'th term of -356, -577, -798?
-221*a - 135
What is the i'th term of 84398, 84359, 84320?
-39*i + 84437
What is the l'th term of -34659, -34660, -34661, -34662, -34663?
-l - 34658
What is the z'th term of 1377, 5221, 11627, 20595, 32125, 46217, 62871?
1281*z**2 + z + 95
What is the w'th term of 214, 354, 494, 634, 774?
140*w + 74
What is the x'th term of -6994, -7025, -7056, -7087, -7118?
-31*x - 6963
What is the o'th term of 537, 471, 387, 291, 189, 87, -9?
o**3 - 15*o**2 - 28*o + 579
What is the p'th term of 27, 69, 101, 117, 111, 77, 9?
-p**3 + p**2 + 46*p - 19
What is the b'th term of 789, 2897, 6381, 11247, 17501, 25149?
b**3 + 682*b**2 + 55*b + 51
What is the z'th term of -155, -1426, -4907, -11702, -22915, -39650?
-184*z**3 - z**2 + 20*z + 10
What is the d'th term of 39797, 79589, 119381, 159173?
39792*d + 5
What is the a'th term of -11412, -22866, -34320, -45774, -57228?
-11454*a + 42
What is the p'th term of -480, -1019, -1560, -2103, -2648, -3195, -3744?
-p**2 - 536*p + 57
What is the a'th term of -36155, -36150, -36145, -36140, -36135?
5*a - 36160
What is the d'th term of -55818, -55826, -55836, -55848, -55862, -55878, -55896?
-d**2 - 5*d - 55812
What is the v'th term of 16566, 16568, 16570, 16572?
2*v + 16564
What is the k'th term of -119258, -119264, -119274, -119288?
-2*k**2 - 119256
What is the q'th term of -51, -103, -171, -261, -379, -531, -723, -961?
-q**3 - 2*q**2 - 39*q - 9
What is the x'th term of -2378, -2332, -2286, -2240, -2194, -2148?
46*x - 2424
What is the b'th term of 2415, 2333, 2251, 2169, 2087, 2005?
-82*b + 2497
What is the d'th term of -134973, -269962, -404951, -539940?
-134989*d + 16
What is the t'th term of 295, 280, 241, 166, 43?
-2*t**3 - t + 298
What is the a'th term of 2828, 2135, 986, -613, -2656?
a**3 - 234*a**2 + 2*a + 3059
What is the b'th term of -154, -337, -508, -661, -790, -889?
b**3 - 190*b + 35
What is the l'th term of 5, 48, 119, 218, 345, 500, 683?
14*l**2 + l - 10
What is the a'th term of -194, -1577, -5346, -12695, -24818, -42909?
-199*a**3 + a**2 + 7*a - 3
What is the q'th term of 82, 121, 156, 187, 214, 237?
-2*q**2 + 45*q + 39
What is the o'th term of -954, -1912, -2884, -3876, -4894, -5944, -7032?
-o**3 - o**2 - 948*o - 4
What is the b'th term of 139, 349, 695, 1177, 1795?
68*b**2 + 6*b + 65
What is the i'th term of 13441, 26886, 40345, 53824, 67329, 80866, 94441, 108060?
i**3 + i**2 + 13435*i + 4
What is the y'th term of 8288, 7888, 7488, 7088?
-400*y + 8688
What is the m'th term of -22632, -90460, -203518, -361812, -565348?
-m**3 - 22609*m**2 + 6*m - 28
What is the f'th term of 6565, 26262, 59087, 105040, 164121, 236330, 321667?
6564*f**2 + 5*f - 4
What is the i'th term of 352, 605, 728, 655, 320, -343?
-11*i**3 + i**2 + 327*i + 35
What is the u'th term of -2771, -3325, -3883, -4445, -5011?
-2*u**2 - 548*u - 2221
What is the d'th term of -66, -255, -556, -969, -1494, -2131?
-56*d**2 - 21*d + 11
What is the x'th term of -164, -361, -584, -833, -1108, -1409?
-13*x**2 - 158*x + 7
What | {
"pile_set_name": "DM Mathematics"
} |
Which is greater: b or z?
z
Let a be 60*((-10)/(-5))/((-12)/3). Let x be (-29)/116 - (-3190)/(-104). Which is greater: x or a?
a
Let t = -10 + 5. Let k = 206 + -100. Let h = -106.3 + k. Which is smaller: t or h?
t
Let x = -194.408 - -186.63. Is x smaller than -1?
True
Let b = 218 - 202. Suppose -b*n - n = 102. Is -7 > n?
False
Let n = -14310 + 99717/7. Which is smaller: n or -64?
n
Let a(c) = -c**3 - 6*c**2 - 8*c - 11. Let d be a(-5). Let p(j) = 69*j - 22. Let i be p(d). Let y be 4 + i/(-10) + (-2)/(-5). Which is bigger: -20 or y?
-20
Let c(x) = 2*x**3 - 24*x**2 - 3*x - 71. Let q be c(-12). Is -6945 greater than or equal to q?
True
Let k = -93.852 + -0.148. Let l = k - -93.499. Let q = -0.001 - l. Which is bigger: 0.1 or q?
q
Let i(w) = -3*w**3 + 22*w**2 - 20*w + 100. Let h be i(7). Which is smaller: 326 or h?
h
Suppose 808 = 5*u - 3*t, -u + 5*t = -2*u + 184. Suppose 0 = -50*d + 48*d - u. Which is greater: d or -84?
d
Let f be (0 + 779)/((-465)/31*2/3). Are f and -79 unequal?
True
Let p be (-129599)/2541630 + 16/312. Which is greater: 0 or p?
p
Let n be -9 - (-9 - (-48)/3304). Is 1 at least n?
True
Let l be 5/6*3/(-10). Let j be ((0 - -2) + -6 + 4)*1. Suppose -6*w = -j*w. Is w at least l?
True
Let i = -126622919/56672 + -267/5152. Let s = -2237 - i. Is s at most as big as -2?
True
Let m(l) = 4*l**2 - 21*l - 75. Let k be m(-4). Which is bigger: k or 84?
84
Suppose 13*r - 43 = -472. Let g be (10/55 - (-2316)/r) + 0. Let j(u) = -u**3 - 7*u**2 + 7*u + 9. Let k be j(-6). Is g smaller than k?
True
Let h = 350 - 122. Suppose 4*z + h = -56. Let o = z + 90. Is 18 greater than o?
False
Let v = 72 - 71.828. Let i = 0.398 - v. Let w = i - -0.014. Which is greater: 0 or w?
w
Let t be (-1 + 16)*(6 - 935/154). Let v = 0 - 0. Is v bigger than t?
True
Let x = -273 + 1546. Let o = x + -148942/117. Which is bigger: 1 or o?
1
Let q = 3506 - -3379. Is 2 at most q?
True
Let j = -42 + 55. Suppose j*a = 1464 - 385. Suppose a = -2*v + 57. Which is smaller: -1 or v?
v
Let c = -12462 - -62820940/5041. Which is greater: c or -1?
c
Suppose 0 = -2*h + 10, -5*y = 3*h - 4*h - 30. Let u = -84 - -84.041. Let m = u + -1.041. Which is bigger: m or y?
y
Suppose 236 = -2*n + 3*n. Let k(m) = 12*m - 113. Let z be k(29). Which is bigger: z or n?
n
Let l = 27 - 106. Let h = 142 + l. Do h and 63 have the same value?
True
Let a(d) = d**2 - 50*d - 3194. Let q be a(-37). Which is bigger: -1/65 or q?
q
Let v(r) = r**2 - 2*r + 2. Let t be v(1). Let y be ((-356)/(-116) - t) + -2. Let q(m) = -6*m + 126. Let h be q(21). Is y smaller than h?
False
Suppose 29*l + 52240 - 8554 = -25*l. Is -810 less than l?
True
Let y = -17168.8 + 17169. Which is smaller: 0.06023 or y?
0.06023
Let u be (5824/624)/(4/(-15)). Suppose 0 = -6*a + a - 165. Is a less than or equal to u?
False
Let c = -0.30449 + 723.35449. Let l = 652 - c. Let r = l + 71. Which is smaller: r or 0?
r
Let k be (4/(-14))/(12/(-591696)*12). Are 1173 and k nonequal?
True
Let q = -20030 - -99686/5. Is -94 bigger than q?
False
Let m = 97.2 + -10.2. Let v = m + -87.188. Which is greater: v or 0?
0
Let u(x) = -12*x**2 + 29*x + 4. Let p(f) = 19*f**2 - 44*f - 6. Let w(m) = 5*p(m) + 8*u(m). Let z be w(11). Is 13 less than z?
False
Suppose 79*o = 80*o + 6, -3*v - 4*o = -69786. Is 23269 bigger than v?
False
Let t(w) = -w**2 + w + 62. Suppose -16 = 4*i, -4*i = 3*o + 11 - 13. Let k be t(o). Is k at most as big as 31?
False
Suppose 4*k = -526*i + 527*i - 175, 0 = -3*i - 3*k + 405. Which is bigger: i or 124?
i
Suppose -4*g = 0, -5*m = -2*m - m + 5*g + 110. Which is smaller: m or -37?
m
Let f = -797279807341/2001 - -1195381693/3. Let z = -19881 + f. Let r = z - -1223/24679. Does r = 2?
False
Let a(m) be the third derivative of m**4/12 + 4*m**3 - 2*m**2. Suppose -126 = 9*s - 36. Let x be a(s). Which is bigger: 5 or x?
5
Let m be (9 - -6) + 41209/(-1225). Which is smaller: m or -19?
-19
Let o = -1.1028 - -1.5028. Is o greater than or equal to 0.095?
True
Let x = 11324 - 8024. Is x at least as big as 0.1?
True
Let y = 28.8 - 3. Let b = 46.6 - y. Let q = -21 + b. Which is smaller: -5 or q?
-5
Let y(r) = 25*r**2 - 149*r - 6. Let g be y(6). Is -1/22 at most g?
True
Let o(b) = 1. Let m(w) = -w - 11. Suppose -4*l - 5*s - 33 = 0, 3*l + s + 3 + 8 = 0. Let h(x) = l*o(x) - m(x). Let f be h(-10). Is f < -1?
False
Suppose -2*a - 2 = 2*v, -169*a - 1 = -168*a + 2*v. Is a > -16/499?
False
Let d(m) = -5*m**2 + 19*m - 95. Let x be d(10). Let r = -406 - x. Is r at least 6/97?
False
Let s(l) = -24*l**2 + 10*l - 21. Let x be s(3). Let n be ((-6)/(-5))/(x/7590). Is n > -50?
True
Suppose -2*u - 6 + 34 = 0. Suppose 4*r - u*y + 356 = -16*y, 4*y + 16 = 0. Let f = 103 - 191. Which is smaller: f or r?
f
Let c = 5420 - 4771. Is 641 at most as big as c?
True
Let x be 6/(-15) - 4852/20. Let i be 4 + x*(-4)/(-244). Let c be 1/2 - 3/(-6). Are c and i equal?
False
Let h = -24930.958 - -24955. Let p = h - 0.042. Let a = p + -25.1. Is -1/6 not equal to a?
True
Let v be (-2*3)/(13/(-1079)*(-14)/(-49)). Which is smaller: 1745 or v?
v
Let a = 11808 - 11925. Let r = 0.07 + 0.93. Which is greater: r or a?
r
Let s(p) = -p - 2. Let u be s(-8). Let o be 3/6*(-638)/u. Let x = o - -53. Is -1 at most x?
True
Let p(l) = 53*l + 168. Let u be p(-4). Let a be (-40)/u*-5 - 8/(-2). Which is smaller: 15 or a?
a
Let q = -7930 - -6914. Is q smaller than -1/4?
True
Let k be (1 + -2)/(1/3). Let n = -6702.6 + 6702. Is n equal to k?
False
Suppose 41*y = 42*y + 354. Is -355 at least y?
False
Let f be (-66)/(-77) + 1516/28. Suppose -3*a + f = 3*i - 35, 0 = a + 5*i - 14. Suppose 3*h - 50 = 52. Is a greater than h?
False
Let d = 913 + -540. Let v = 222 - d. Let a = 149 + v. Which is smaller: a or -1?
a
Suppose 4*b + 5*x - 20 = 9*b, -16 = b - 4*x. Suppose 4*h - 2*n + 59 = h, b = h + n + 18. Which is smaller: h or -22?
-22
Let r = 7924 - 705245/89. Let i be (-4 - -3) + 1 + 1. Which is smaller: r or i?
r
Let r be ((-2)/(-6))/((-584)/195 - -3). Let l = r - 57. Suppose -y - 153 = l*y. Are y and 0.1 non-equal?
True
Let t(p) = 2*p**3 - 6*p**2 - 11*p + 19. Let c be t(8). Which is bigger: c or 573?
573
Let r = -7/30458 - 10509/219328058. Is -1/5 bigger than r?
False
Let k = 2351 - 3538. Are -1187 and k nonequal?
False
Let g(v) = -35*v + 395. Let y be g(12). Is y bigger than -53?
True
Let l(y) = 2*y - 23. Let f be l(14). Suppose n + 4 = 4*u, 0*u + 5 = f*n + 5*u. Which is bigger: n or -10/13?
n
Suppose -p = 4*r - 7 + 12, 4*p - 31 = r. Let w be 0 + 0 + p/(42/(-132)). Let h be -3 - 49/(-6)*(-8)/w. Is h less than or equal to 0?
True
Let b = -3.069 + -181.031. Let n = b + 192. Let j = n + -8. Which is bigger: j or 0.46?
0.46
Let m be ((-258)/15)/(-1*(-2)/(-10)). Let a be m/574 + (55/(-35))/11. Are -1 and a unequal?
True
Suppose 0 = 5*k - 10, -5*v - 4*k + 4 = -3*v. Let w be 1408/18 - v/(-9). Let h be (15 - 18)*((-4)/w + 0). Which is bigger: h or -0.1?
h
Let a = -1 - -18. Let v be (209/(-44) - -2)*-6. Is a greater than v?
True
Let r = -4820.8 - -4821. Which is smaller: r or 2461?
r
Let w = -36572/7 - -5236. Which is bigger: 11 or w?
w
Let g be (-8 + 7)*4 - 2*-4. Let v(b) = -b**2 - 2*b + 10. Let w be v(g). Which is smaller: -102/7 or w?
-102/7
Let k = 45.1 + -44.8. Let h = 20 + -16. Let n = h + -3. Which is smaller: n or k?
k
Suppose 5*q = -a + 1377, 0 = q - 4*a - 206 - 82. Suppose b + q = 4*i, 3*i - 79 = -4*b + 147. Which is greater: 64 or i?
i
Let b = 9143 - 8762. Is b smaller than 378?
False
Let d = 629 - 630.036. Let g = d + 0.036. Which is bigger: g or -9/2?
g
Let c = 13.254 + -13.354. Let l = -1677853/281 - -5971. Which is smaller: c or l?
c
Suppose -3*n - 188 = -5*i - 16, 4*n + 4*i + 208 = 0. Let t = n - -65. Let a = t + 10. Is a at most 20?
False
Let o = -9582 + 9583. Which is smaller: -1/24378 or o?
-1/24378
Suppose v + 3 = -2*v. Suppose 2*u + 3*k = 57, -8*u + 47*k + 123 = 44*k. Is v smaller than u?
True
Let j be -26 - (660/(-495) - (-1)/(3*1)). Let d(l) = -10*l + 4. Let z be 10/15*18/4. Let k be d(z). Which is smaller: k or j?
k
Let q(b) = -138*b + 1256. Let a be q(16). Which is smaller: a or -957?
-957
Let k be (-6)/((-4)/(-8)*-2). Let z be (k + -6)/(-2 + 1). Let r be ((-52)/325)/((-8)/(-60)). Is z <= r?
False
Let w(m) = 4*m**2 - 64*m - 68. Let g be w(17). Which is bigger: g or -1/14790?
g
Let v = 944/233 - 403/12349. Whi | {
"pile_set_name": "DM Mathematics"
} |
-6, -2
Suppose -76*i + 50 = -29*i - 91. Suppose -8/3*w**i + 0 + 4/3*w**4 + 2/3*w**5 + 2*w - 4/3*w**2 = 0. Calculate w.
-3, -1, 0, 1
Let v be (50/20)/(26/8). Let y = 8291 + -8287. Factor -v*t**2 - 16/13 - y*t + 6/13*t**3.
2*(t - 4)*(t + 2)*(3*t + 1)/13
Let m(p) be the second derivative of 0 + 1/21*p**3 - 5/84*p**4 + 0*p**2 + 85*p - 1/70*p**5 + 1/42*p**6. Let m(v) = 0. What is v?
-1, 0, 2/5, 1
Let b(y) = -381*y**2 - 2433*y + 7284. Let h(t) = -163*t**2 - 1217*t + 3642. Let o(j) = 3*b(j) - 7*h(j). Factor o(i).
-2*(i - 607)*(i - 3)
Let z(f) = 65*f**4 + 66*f**3 + 6*f**2 + 5*f. Let n(d) = -33*d**4 - 33*d**3 - 2*d**2 - 2*d. Suppose 5*i - 6*i = 5. Let g(j) = i*n(j) - 2*z(j). Solve g(y) = 0.
-1, 0, 2/35
Let f = 11699/13 + -899. Suppose -301 = -384*m + 674 - 207. Factor 0 + 2/13*j**3 - f*j - 2/13*j**m.
2*j*(j - 3)*(j + 2)/13
Let x(u) be the third derivative of u**6/24 - 67*u**5 + 67335*u**4/2 + 155*u**2 + 13. Factor x(d).
5*d*(d - 402)**2
Let a(g) = 10*g**3 + 44005*g**2 + 130714555*g + 128623127040. Let h(k) = k**3 - 55*k**2 - k. Let r(l) = -a(l) + 5*h(l). Suppose r(z) = 0. Calculate z.
-2952
Let w(u) be the first derivative of 105*u**4/4 + 745*u**3/3 + 350*u**2 + 60*u + 5856. Factor w(a).
5*(a + 1)*(a + 6)*(21*a + 2)
Let w = -6398 + 6400. Let d(g) be the second derivative of -w*g**3 + 14*g + 0 + 6*g**2 + 1/4*g**4. Factor d(p).
3*(p - 2)**2
Let d(g) be the third derivative of -g**7/63 + 22*g**6/45 - 62*g**5/45 - 16*g**4/9 + 311*g**2 + 2. Find c, given that d(c) = 0.
-2/5, 0, 2, 16
Let c(i) be the third derivative of 269*i**5/20 - 1347*i**4/40 + i**3/5 + 1519*i**2. What is f in c(f) = 0?
2/1345, 1
Let f(i) be the third derivative of -i**7/210 + i**6/90 + 28*i**5/15 + 24*i**4 + 247*i**3/6 - 92*i**2. Let m(v) be the first derivative of f(v). Factor m(n).
-4*(n - 9)*(n + 4)**2
Let b(v) = 5*v**2 + 5*v - 20. Let a(t) = 9*t**2 + 10*t - 41. Let x(z) = -6*a(z) + 11*b(z). Let s be x(9). Solve 58*q**2 - s*q**2 + 19 - 3 = 0 for q.
-2, 2
Suppose -52430*y = -52508*y + 156. Factor 2/7*m**y + 24/7 - 2*m.
2*(m - 4)*(m - 3)/7
Let t(w) be the second derivative of -w**7/147 + 11*w**6/105 - 9*w**5/35 - w**4/21 + 19*w**3/21 - 9*w**2/7 - 1144*w. Solve t(g) = 0 for g.
-1, 1, 9
Let c(i) be the third derivative of -i**6/20 - 51*i**5/40 + 373*i**4/16 - 45*i**3/2 - 9399*i**2. Find b, given that c(b) = 0.
-18, 1/4, 5
Let 62*a**3 - 132 + 76*a**2 + 13*a**3 + 72*a**2 - 72*a - 3*a**5 - 5*a**2 + 52*a**2 - 63*a**4 = 0. What is a?
-22, -1, 1, 2
Let f(w) be the third derivative of 32*w - 35/8*w**4 + 0 - 115/3*w**3 + w**2 + 1/12*w**5. Suppose f(p) = 0. What is p?
-2, 23
Let d(p) = -50*p**2 - 5662*p - 1325378. Let z(x) = 27*x**2 + 2832*x + 662688. Let r(l) = 6*d(l) + 11*z(l). Factor r(a).
-3*(a + 470)**2
Factor 36*n**2 + 6*n**3 - 54 - 54*n - 3*n**4 + 46*n**3 + 4*n**4 + n**5 + 17*n**4 + n**5.
2*(n - 1)*(n + 1)*(n + 3)**3
Let m(s) be the third derivative of 0*s**4 + 0*s - 28*s**2 + 25/12*s**5 + 0*s**3 - 5/12*s**6 + 0 + 1/42*s**7. Solve m(c) = 0.
0, 5
Factor 0*p + 0 - 1/6*p**5 - 1/3*p**2 - 2/3*p**4 - 5/6*p**3.
-p**2*(p + 1)**2*(p + 2)/6
Solve 441*w - 3*w**2 + 1123338 - 1123338 = 0.
0, 147
Let b(n) be the first derivative of n**7/980 + 5*n**6/504 - 5*n**5/168 + n**3/3 - 260. Let j(f) be the third derivative of b(f). What is s in j(s) = 0?
-5, 0, 5/6
Let j(n) be the first derivative of 103/10*n**2 + 152/15*n**3 + 33 + 26/5*n + 22/25*n**5 - 1/30*n**6 + 49/10*n**4. What is g in j(g) = 0?
-1, 26
Let n(m) be the first derivative of 7*m**5/5 + 29*m**4/2 + 100*m**3/3 + 12*m**2 - 502. Factor n(c).
c*(c + 2)*(c + 6)*(7*c + 2)
Let b(q) be the first derivative of 46/7*q**4 + 4/35*q**5 + 1924/21*q**3 + 2304/7*q - 2208/7*q**2 + 62. Factor b(o).
4*(o - 1)**2*(o + 24)**2/7
Let v = -5141/44 + 304343/308. Let i = 873 - v. Factor -2/7*f**4 + 16/7*f + 0*f**3 + i*f**2 + 6/7.
-2*(f - 3)*(f + 1)**3/7
Suppose h - 26 = -14. Factor 3*q**3 + 6*q**3 + 3*q**5 + 0*q**3 - h*q**4.
3*q**3*(q - 3)*(q - 1)
Let p be 30/5 - 66/(-6). Let s(d) = -8*d**2 - 152*d - 2450. Let b(g) = -23*g**2 - 454*g - 7350. Let f(o) = p*s(o) - 6*b(o). Suppose f(n) = 0. Calculate n.
-35
Suppose -494*r + 493*r + 2 = 0. Let k(u) be the first derivative of -14 + u**r + 4*u + 1/12*u**3. Factor k(f).
(f + 4)**2/4
Let r(m) be the third derivative of 3542126*m**7/15 - 827435*m**6/2 + 4696*m**5/5 - 2*m**4/3 + 14887*m**2. Suppose r(l) = 0. Calculate l.
0, 2/3521, 1
Let y(h) = -2*h**3 + h**2 + h + 2. Let u(q) = 7*q**3 + 220*q**2 - 443*q - 10. Let j(b) = u(b) + 5*y(b). Factor j(t).
-3*t*(t - 73)*(t - 2)
Let m(f) be the third derivative of -f**7/12600 - f**6/1800 + f**4/3 - 2*f**2 + f. Let a(z) be the second derivative of m(z). Solve a(c) = 0.
-2, 0
Let g be (342/(-76))/((-1)/1). Let p(m) be the second derivative of g*m**3 + 243/4*m**2 + 1/8*m**4 + 0 + 3*m. What is t in p(t) = 0?
-9
Let n(d) = d**3 - 7*d**2 + 7*d + 4. Let v be n(6). Let f = -5 + v. Suppose 12*i**3 - 10*i**4 - f*i**2 - 9*i + 2*i + 13*i**3 - 3*i = 0. What is i?
-1/2, 0, 1, 2
Let h(p) = p**2 - 13*p + 4. Let r be h(13). Let k(z) = -z**3 - 7*z - 4. Let a(o) = 2*o**3 + 8*o + 5. Let w(x) = r*a(x) + 5*k(x). Factor w(d).
3*d*(d - 1)*(d + 1)
Factor 2450 + 490*v + 22*v**2 + 2/7*v**3.
2*(v + 7)*(v + 35)**2/7
Let w(f) = 11*f - 39. Let r be w(4). Suppose 3*t - 6 = 4*v, 0*t + 2*t + 3*v - 4 = 0. Find l, given that 2*l**t - 25 - 2*l**4 + 25 + 2*l**r - 2*l**3 = 0.
-1, 0, 1
Let t(m) = -m**2 + m + 1. Let w(b) = -4*b**2 + 6*b + 3. Let x = -216 + 213. Let z(q) = x*t(q) + w(q). Solve z(k) = 0.
0, 3
Factor 3*y**2 - 178 - 2921*y + y**2 - 6*y**2 + 3101*y.
-2*(y - 89)*(y - 1)
Let t(s) = -5*s**2 - 9*s - 8. Let m(j) = 4*j**2 + 9*j + 8. Let n = -113 - -69. Let b = n - -47. Let x(q) = b*t(q) + 4*m(q). Factor x(u).
(u + 1)*(u + 8)
Let m = 9034 - 8130599/900. Let y(r) be the third derivative of 11*r**2 + 0*r**3 - 1/90*r**5 + 0*r + 1/45*r**4 + m*r**6 + 0. Find c, given that y(c) = 0.
0, 1, 4
Let y(h) = -3*h**3 + 36*h**2 + 3*h + 12. Let d(i) = i**3 - 2*i**2 - 1. Suppose 3*z + 40 - 1 = -4*c, 0 = -3*c + z - 39. Let x(b) = c*d(b) - y(b). Factor x(w).
-3*w*(w + 1)*(3*w + 1)
Suppose -51 = 5*w - 61. Suppose 20*n - 26*n**w - 24 + 2 + 28*n**2 = 0. Calculate n.
-11, 1
Let t(a) be the first derivative of -a**4/6 + 220*a**3/63 + 284*a**2/21 + 48*a/7 + 6056. What is v in t(v) = 0?
-2, -2/7, 18
Factor 44900*o - 89797*o - 3*o**2 + 44873*o - 36.
-3*(o + 2)*(o + 6)
Let h = 85290 - 85288. Factor 5/4*i**h + i + 1/4 + 1/2*i**3.
(i + 1)**2*(2*i + 1)/4
Suppose 14*v + 931 = 3*v + 964. Let s(a) be the second derivative of 0 + a**v - 1/4*a**4 + 26*a + 9/2*a**2. Factor s(o).
-3*(o - 3)*(o + 1)
Let t = 482128 + -482126. Find o, given that -3/5*o - 9/5*o**t + 6/5 = 0.
-1, 2/3
Let h(k) be the second derivative of -k**7/112 - 21*k**6/80 - 273*k**5/160 + 9*k**4/32 + 43*k**3/2 - 45*k**2 - 38*k. Find w, given that h(w) = 0.
-15, -4, 1
Let h(t) = -t**3 - 9*t**2 + 33. Let m be h(-2). Let b(k) be the first derivative of -9*k**m + 23 + 10*k - 125/4*k**4 - 35*k**3 - 15/2*k**2. Factor b(q).
-5*(q + 1)**3*(9*q - 2)
Let l(c) be the first derivative of -c**4/22 + 422*c**3/33 + 212*c**2/11 - 2257. Factor l(b).
-2*b*(b - 212)*(b + 1)/11
Let f(z) = 7*z**4 - 5*z**3 + 20*z**2 + 46*z + 2. Let c(v) = 18*v**4 - 11*v**3 + 42*v**2 + 91*v + 5. Let r(x) = 4*c(x) - 10*f(x). Solve r(g) = 0.
-4, -3, 0, 4
Let a(q) = -8*q**2 + 3512*q - 850084. Let y(h) = -2*h**2 - 88*h. Let p(d) = -a(d) + 2*y(d). Suppose p(f) = 0. What is f?
461
Suppose 533 = 20*d - 7*d. Suppose -6*x - 5 = -d. Factor -59 - x*g**2 - 7*g - 3*g + 74 + g**2.
-5*(g - 1)*(g + 3)
Let b(p) = 33*p**2 - 6392*p - 3396288. Let o(t) = -24*t**2 + 6390*t + 3396288. Let v(r) = -3*b(r) - 4*o(r). Factor v(y).
-3*(y + 1064)**2
Let i(o) = -5*o**3 - o**2. Let d(a) = 396*a**3 - 366*a**2 - 80*a - 4. Let x = -435 - -433. Let b(n) = x*d(n) + 18*i(n). Let b(l) = 0. What is l?
-2/21, 1
Let b = -111890 - -111893. Factor -54/5*p**2 + 3/5*p**b + 243/5*p + 0.
3*p*(p - 9)**2/5
Let g = 30/2071 + 1801/18639. Let p(m) be the first derivative of g*m**3 - 34 + 10/3*m - 11/6*m**2. Solve p(x) = 0 for x.
1, 10
Let x be 3*((-30)/(-9) + -2). Let u(s) be the second derivative of -1/147*s**7 + 1/70*s**5 + 1/42*s**x + 0 + 10*s + 0*s**3 - 1/105*s**6 + 0*s**2. Factor u(h).
-2*h**2*(h - 1)*(h + 1)**2/7
Let n(j) be the second derivative of -3/4*j**3 + 3 + 3*j + 1/8* | {
"pile_set_name": "DM Mathematics"
} |
2 - 3*w + 2. Let f be j(-3). Suppose 2*n - 120 = -f*n. Suppose -3*l + 12 = -n. Is l a multiple of 7?
True
Suppose 3*q + 362 - 5 = 3*g, -2*q + 470 = 4*g. Suppose -422 = -4*y - g. Does 13 divide y?
False
Suppose 2*n - 176 = 4*l, -7 = -2*n - l + 169. Is 11 a factor of n?
True
Let n(f) = -f**3 - 3*f**2 + 3*f + 3. Let m be n(-4). Suppose 2*s - m = 9. Does 3 divide s?
False
Suppose z - 4*z = -390. Suppose -5*i - 12 = -2*x, 4*x = 2*i + 2*i. Does 8 divide (z/15)/(i/(-6))?
False
Let g(p) = -5*p + 7. Let m(d) = 2*d + 7. Let c be m(-6). Is g(c) a multiple of 14?
False
Suppose 2*r + p - 913 = -r, 5*r - 5*p = 1555. Does 24 divide r?
False
Let n(b) be the second derivative of b**5/20 + b**4/3 - 7*b**3/6 + b**2 + b. Let m be (-32)/6 - 5/(-15). Is n(m) a multiple of 12?
True
Let k = 13 - 6. Let d(c) = c**3 - 7*c**2 + 2*c - 9. Let l be d(k). Suppose -l*v + 28 = -37. Is v a multiple of 5?
False
Let k(q) = q**2 - 4*q + 3. Let f be k(3). Suppose b + 2*z = 8 - f, 0 = 3*z - 15. Let r = b - -11. Does 9 divide r?
True
Let s be (4/8)/((-1)/(-2)). Let f be s/1 - (0 + -54). Let p = -29 + f. Is 13 a factor of p?
True
Let d(i) = -i**2 - 5*i + 2. Let x be (18/15)/(6/20). Let v be x*(0 - 3 - -2). Is d(v) a multiple of 3?
True
Let n = 9 + -4. Suppose -2*h - 298 = -2*s, 2*h + 713 = n*s + 5*h. Let u = s - 90. Is u a multiple of 17?
False
Let y(t) = 5*t + 15. Is y(9) a multiple of 12?
True
Let s(g) = -g**2 + g**3 - 6*g**2 + 2*g**2 + g - 5 - 6*g. Let f be s(6). Is 18 a factor of (-2 - f)*(-6 - 0)?
True
Let d = 1 + 3. Let q = -8 + 13. Suppose q*w = 4*v + 142, d*w - 4*v - 140 + 24 = 0. Does 14 divide w?
False
Is 23 a factor of (2/5)/(((-28)/(-3955))/4)?
False
Let v(x) = 2*x**2 - 5*x - 3. Let p be 32/(-4)*1/(-2). Let b = p - 7. Does 15 divide v(b)?
True
Suppose -2*w + 22 = -2*u, 65 = 2*w + 2*w + 3*u. Does 14 divide w?
True
Let g = 110 - 79. Is g a multiple of 3?
False
Is 20 a factor of (0 + (-1)/3)*-213?
False
Suppose 184 = y - 0*y. Is y a multiple of 25?
False
Let a = 172 + -60. Does 41 divide a?
False
Suppose -3*s + 125 = -8*s. Is 20 a factor of -2 - (s + 3 + 0)?
True
Let n(c) = 6*c - 3. Let z be 0 - (-1 + 3/3). Let d be -5*(z - (-18)/(-15)). Is 12 a factor of n(d)?
False
Suppose -2*a + 25 = -3*o - 13, 4*o + 5*a + 20 = 0. Let x(h) = h**2 + 9 + 9*h - 7 + 12. Is x(o) a multiple of 12?
True
Let o = -4 - -6. Let b(w) = -w**3 + 3*w**2 - 2*w - 1. Let r(t) = -t**3 + 4*t**2 - 2*t - 1. Let v(i) = -3*b(i) + 2*r(i). Does 9 divide v(o)?
True
Suppose 5*b + 19 = 2*t, 2*t - 4*b - 2 = t. Does 22 divide t?
True
Let k(s) = -s**3 + s**2 + 11. Let a be 2/7 - (-5)/7. Suppose -5*c + 24 = -5*f - a, -c = -2*f - 10. Does 11 divide k(c)?
True
Let t = 2 + 2. Suppose -5*f = -t*r - 208, f + r - 5*r = 48. Is f a multiple of 31?
False
Let w = 8 + -4. Is 10 a factor of 34 - (2 + 0) - w?
False
Let c be (3 + -7 - -10) + -1. Suppose 0 = 2*p + 4*h - 52, 5*p - 155 = c*h - 25. Does 13 divide p?
True
Let l(i) = -5*i - 21. Does 7 divide l(-11)?
False
Suppose -60 = -5*t + 5. Let h = -18 - 1. Let n = t - h. Does 16 divide n?
True
Let h(i) = 10*i - 4. Is h(4) a multiple of 12?
True
Let n(h) be the first derivative of -h**4/4 + 2*h**3/3 - h - 3. Let o be n(-1). Suppose 10 = 4*p - 0*v + o*v, 2*v = -6. Is p a multiple of 2?
True
Suppose 0 = 4*r + 4*f - 16, -2*f = -r + 3*f + 4. Suppose -r*d + 0*x + 46 = 3*x, 2*x = d - 6. Suppose d + 5 = 5*k. Does 2 divide k?
False
Suppose 4*b + 197 = -99. Let k = 11 + b. Let u = k - -101. Does 20 divide u?
False
Let c be 18/(((-6)/(-75))/(-1)). Let b = c - -129. Is (-1)/((3/b)/1) a multiple of 16?
True
Let p = 75 + -72. Let q(i) be the third derivative of i**6/120 - i**5/30 + i**4/8 - i**2. Is q(p) a multiple of 7?
False
Let w be -12 - 4*(-3)/6. Let x be (-54)/(-15) - (-6)/w. Is 8 a factor of -6 + x - -24 - -1?
False
Let p(a) be the first derivative of -3*a**2/2 + 10*a + 3. Is 13 a factor of p(-7)?
False
Let m(f) = -2*f**3 - f**2. Let w be m(-2). Let k(a) = -a**2 + 15*a - 8. Is k(w) a multiple of 7?
True
Let s be 29*-1*(1 + -2). Suppose 2*a - 35 = -5*l - 3*a, s = 5*l + 3*a. Suppose -4*i = -l*d - 2*i + 48, 0 = 2*i + 4. Does 8 divide d?
False
Let n(f) = 2*f**3 + 2*f**3 - 4 + 8 - 5*f**2 + 5*f - 3*f**3. Does 35 divide n(6)?
True
Let j(o) = -5*o**3 + o**2 + 5*o + 5. Is 2 a factor of j(-2)?
False
Suppose 0 = -2*c + 6 + 12. Is 9 a factor of c?
True
Suppose 0 = 2*u - 15 + 5. Suppose s - 10 = 2*d, -u = 4*d + 11. Suppose -5*t + 27 = -q, -2*t + t = -s*q. Is 3 a factor of t?
True
Suppose -2*j + 24 = -0*j. Does 10 divide -24*(-3 + 21/j)?
True
Is 4/30 + (-2606)/(-30) a multiple of 11?
False
Let x(g) = 22*g**3 - 5*g**2 + 4*g - 4. Let j(v) = -22*v**3 + 6*v**2 - 5*v + 5. Suppose 25 = 3*d + 10. Let r(u) = d*x(u) + 4*j(u). Is 6 a factor of r(1)?
False
Suppose 3*u - 428 - 148 = 0. Is u a multiple of 32?
True
Suppose 3*g + 4*j - 1 + 8 = 0, 2*g = 3*j + 1. Let l = 3 - g. Is 2 a factor of l?
True
Let i = -9 - -19. Is i a multiple of 5?
True
Suppose -5*q - 524 = -4*s, -5*s + q = -0*q - 655. Suppose z - s = -3*a - a, 0 = 3*a + z - 99. Is a a multiple of 11?
False
Let h be 4/12 - (-7)/(-3). Let z = 4 - h. Does 6 divide z?
True
Let x(q) = -5*q - 38. Is x(-11) a multiple of 13?
False
Suppose -7*h + 89 = -44. Does 11 divide h?
False
Let d = -25 - -42. Is 11 a factor of d?
False
Let t = 0 + 2. Let r(u) = 2 + 2*u**t - 2 - u + 2. Is r(-2) a multiple of 12?
True
Is 70/(-4)*88/(-20) a multiple of 19?
False
Suppose 72 = -k + 2*k - 3*b, 2*k + 4*b = 104. Does 15 divide k?
True
Suppose x + 3*s - 12 - 2 = 0, -4 = s. Is x a multiple of 4?
False
Let n(s) = -10*s + 3. Suppose d = -2*d - 12. Let w be n(d). Let z = 64 - w. Is z a multiple of 10?
False
Suppose 5 - 61 = -7*z. Is 4 a factor of z?
True
Let i(z) = -2*z. Is i(-11) a multiple of 11?
True
Let s = 6 - 3. Suppose -s*f = -f - 26. Let o = 21 - f. Is o a multiple of 3?
False
Let q(p) = -2*p + 80. Does 20 divide q(0)?
True
Let p(f) = f**3 + 7*f**2 + 4*f + 3. Does 9 divide p(-3)?
True
Let k(i) = -i**2 - 3*i. Let d be k(-5). Does 2 divide 2*d/4*-1?
False
Let t = 60 + -45. Does 15 divide t?
True
Suppose 0 = -5*c + 3 + 12. Suppose w = -4*w - b + 70, -2*b - 29 = -c*w. Is 13 a factor of w?
True
Let v = 55 + -38. Suppose -4 - 6 = -5*n. Suppose -y + 5*g = 5, 5*g - 18 = -n*y + v. Does 10 divide y?
True
Suppose -2*o - 470 = -4*w, 4*w - 255 = 2*w - 3*o. Suppose -w = -4*i - i. Is 8 a factor of i?
True
Let t = -57 - -113. Does 14 divide t?
True
Let l = -80 - 121. Let f = -83 - l. Is f a multiple of 27?
False
Suppose -4*c - 1 - 3 = 0. Suppose -2*t - 7 = 3. Is 4*t*c/4 even?
False
Let b(f) = 8*f**2 - 2*f + 2. Suppose -2*j + 2*s = 2, 5*j - 2*j - 5*s = 1. Let q be b(j). Suppose 6*m = m + q. Is 16 a factor of m?
True
Let a = 11 - 8. Suppose 21 = -a*l + 48. Does 3 divide l?
True
Let w(p) = p**3 + 5*p**2 - 2*p - 6. Let j(a) = a**2 + 4*a - 5. Let y be j(-4). Let m be w(y). Suppose 20 = z + m*v, -5*z = -3*z + 3*v - 40. Is 10 a factor of z?
True
Let c(t) = 6*t - 3. Let w be 8 + -6 + 2/2. Let u be c(w). Suppose -3*z - u = -o, 2*o = 2*z - 3*z + 51. Does 16 divide o?
False
Let d = -1 + 4. Suppose -4*r + d = -5. Suppose 2*g + 37 = w, r*w - 5*g - 105 + 27 = 0. Is w a multiple of 12?
False
Let c = 473 + -773. Let x = -181 - c. Suppose -x + 374 = 5*t. Is 17 a factor of t?
True
Let z be 14/35*5*1. Suppose 4*t - 2*l = z*t + 18, 2*t - 28 = 4*l. Does 2 divide t?
True
Let d(b) = -b + 3. Let f be d(8). Let u be (f - -5)/(-1*1). Suppose -25 = -x + p - 0*p, -5*x - 2*p + 90 = u. Does 10 divide x?
True
Let n be 2 - (-2)/2*-61. Let s be (-2)/4 - n/(-2). Is (3/2 + -2)*s a multiple of 14?
False
Let t(k) be the first derivative of -2*k**3/3 - k**2 + 3*k - 2. Let i be t(-3). Is 12/i*(-15)/2 a multiple of 10?
True
Does 12 divide ((-124)/2)/(-1) + 0?
False
Suppose 349 + 137 = 3*d. Suppose 3*l = -q - 2*q + 93, -5*q + d = -2*l. Is 16 a factor of q?
True
Suppose 5*s - 154 - 55 = -3*t, 142 = 2*t + 4*s. Suppose 5*j = 2*j + t. Suppose -2*w = -3*w + j. Is 8 a factor of w?
False
Let i(t) be the first derivative of 1/2*t**2 - 3 + 26*t. Is 13 a factor of i(0)?
True
Let c(k) = k**3 - k**2 + 1. Let y(a) = 3*a**3 + 2*a**2 - 1. Let l(i) = -4*c(i) + y(i). Let f be l(5). Is 6 a factor of 67/4 + 5/f?
False
Let x = 36 + -15. Suppose -3*p = -0*p - x. Suppose 0 = -5*b - p + 32. Is b a multiple of 3?
False
Let y = 10 - 5. Suppose y*s = -2*r + r + | {
"pile_set_name": "DM Mathematics"
} |
ement from {y: 1, f: 3, k: 1, m: 2}?
1/70
What is prob of sequence ll when two letters picked without replacement from {l: 11, a: 1}?
5/6
Three letters picked without replacement from {n: 2, c: 2, i: 1}. What is prob of sequence cic?
1/30
Two letters picked without replacement from {r: 7, t: 1, m: 11}. What is prob of sequence mt?
11/342
Calculate prob of sequence nae when three letters picked without replacement from {r: 1, n: 3, z: 1, a: 8, e: 2, q: 3}.
1/102
Four letters picked without replacement from raaqphxq. What is prob of sequence xqhr?
1/840
What is prob of sequence zuaa when four letters picked without replacement from aguuzaa?
1/70
Calculate prob of sequence rd when two letters picked without replacement from mrllrlmddlr.
3/55
Two letters picked without replacement from {x: 7, g: 5, b: 1}. What is prob of sequence bx?
7/156
Three letters picked without replacement from rurujrjruw. Give prob of sequence rww.
0
What is prob of sequence wwv when three letters picked without replacement from {w: 2, h: 3, v: 3, g: 3, z: 6}?
1/680
Calculate prob of sequence nf when two letters picked without replacement from {n: 13, f: 3}.
13/80
What is prob of sequence mjm when three letters picked without replacement from {m: 7, j: 12}?
28/323
Four letters picked without replacement from hshqqqmqsqqqsssssjs. What is prob of sequence msqq?
7/1938
Three letters picked without replacement from ommkmkmo. Give prob of sequence mmo.
1/14
Two letters picked without replacement from qmiww. What is prob of sequence wi?
1/10
Two letters picked without replacement from {g: 3, d: 2}. Give prob of sequence dd.
1/10
Calculate prob of sequence pba when three letters picked without replacement from aajbpaajggaaagggaaja.
1/684
Calculate prob of sequence fdm when three letters picked without replacement from {f: 2, m: 1, n: 3, d: 1}.
1/105
Calculate prob of sequence uix when three letters picked without replacement from {u: 1, x: 1, i: 1, b: 1, j: 1}.
1/60
Three letters picked without replacement from {u: 2, n: 1}. Give prob of sequence uun.
1/3
Calculate prob of sequence xeee when four letters picked without replacement from hhhhhxhheehxhhx.
0
What is prob of sequence kjz when three letters picked without replacement from {g: 1, x: 1, k: 1, j: 1, z: 1}?
1/60
Calculate prob of sequence zji when three letters picked without replacement from {z: 2, g: 1, i: 6, j: 1, q: 2}.
1/110
What is prob of sequence www when three letters picked without replacement from wwwwww?
1
Calculate prob of sequence pwp when three letters picked without replacement from wpdke.
0
Two letters picked without replacement from {r: 6, p: 6, l: 4, b: 1}. What is prob of sequence rl?
3/34
What is prob of sequence crl when three letters picked without replacement from {c: 2, q: 3, r: 1, s: 4, z: 2, l: 3}?
1/455
What is prob of sequence bfjb when four letters picked without replacement from bbfddjblbvff?
1/330
Three letters picked without replacement from {x: 1, h: 2, a: 2, c: 1, b: 1}. What is prob of sequence hcb?
1/105
Four letters picked without replacement from yarygarggggyr. Give prob of sequence gyyy.
1/572
Two letters picked without replacement from {i: 2, o: 2}. What is prob of sequence oi?
1/3
Three letters picked without replacement from cmmmxmmmmcxx. What is prob of sequence xxx?
1/220
Calculate prob of sequence ol when two letters picked without replacement from {f: 1, n: 1, q: 1, o: 2, s: 1, l: 2}.
1/14
Three letters picked without replacement from {u: 1, r: 1, y: 1}. What is prob of sequence ury?
1/6
Calculate prob of sequence iiie when four letters picked without replacement from {i: 6, e: 7}.
7/143
Calculate prob of sequence vq when two letters picked without replacement from {u: 5, v: 3, p: 3, q: 3, x: 4}.
1/34
Three letters picked without replacement from mmmffrffmmfmmfrmmmfq. What is prob of sequence mrf?
7/342
Two letters picked without replacement from {k: 1, j: 6, a: 4}. Give prob of sequence jj.
3/11
What is prob of sequence bab when three letters picked without replacement from abjbb?
1/10
What is prob of sequence em when two letters picked without replacement from {m: 3, l: 1, e: 3, u: 1, s: 11}?
1/38
Calculate prob of sequence hozo when four letters picked without replacement from {h: 1, b: 1, z: 1, o: 2, r: 2}.
1/420
Two letters picked without replacement from {x: 4, m: 3, y: 2, s: 1}. What is prob of sequence sx?
2/45
Two letters picked without replacement from rrprruvrprrrrrrruvr. What is prob of sequence up?
2/171
Three letters picked without replacement from {h: 2, l: 17}. Give prob of sequence lhl.
16/171
Calculate prob of sequence dks when three letters picked without replacement from {q: 4, t: 2, d: 1, s: 3, k: 1}.
1/330
Four letters picked without replacement from {z: 6, l: 4, q: 4}. Give prob of sequence qqzq.
6/1001
What is prob of sequence nl when two letters picked without replacement from {h: 1, i: 1, l: 1, e: 1, n: 1}?
1/20
Calculate prob of sequence mhpl when four letters picked without replacement from lxdxpmh.
1/840
What is prob of sequence oe when two letters picked without replacement from eooe?
1/3
Calculate prob of sequence mt when two letters picked without replacement from {t: 1, m: 3}.
1/4
Two letters picked without replacement from {k: 1, g: 2, o: 2}. What is prob of sequence ko?
1/10
Three letters picked without replacement from {t: 1, i: 1, h: 5, w: 4, g: 1, a: 1}. Give prob of sequence ghw.
5/429
Calculate prob of sequence izm when three letters picked without replacement from zzzztmtzji.
1/144
Calculate prob of sequence jj when two letters picked without replacement from zjjlyymb.
1/28
Four letters picked without replacement from {z: 4, k: 6, c: 4, j: 1}. Give prob of sequence cjkj.
0
Calculate prob of sequence oaoo when four letters picked without replacement from {o: 5, a: 3}.
3/28
What is prob of sequence ueu when three letters picked without replacement from euueuaaaueaeaaaa?
1/70
What is prob of sequence bmkk when four letters picked without replacement from mnnfzbmkkmkz?
1/660
Four letters picked without replacement from gdsjodd. What is prob of sequence gsdo?
1/280
Four letters picked without replacement from uuuuuuuluuuuuuuuuuuu. Give prob of sequence uuuu.
4/5
What is prob of sequence px when two letters picked without replacement from {y: 1, p: 4, x: 2, v: 2, a: 7}?
1/30
Calculate prob of sequence jl when two letters picked without replacement from {h: 8, g: 5, l: 1, j: 2}.
1/120
What is prob of sequence pvom when four letters picked without replacement from {v: 2, o: 1, p: 1, q: 2, m: 1}?
1/420
Calculate prob of sequence od when two letters picked without replacement from qqqlomdq.
1/56
What is prob of sequence zzzz when four letters picked without replacement from dzzzddzzdd?
1/42
Two letters picked without replacement from qqfqqqqqfqqq. What is prob of sequence ff?
1/66
Four letters picked without replacement from {x: 7, q: 4, g: 4, w: 4, n: 1}. What is prob of sequence xgqw?
56/14535
What is prob of sequence ij when two letters picked without replacement from gigiiijijirjgijiix?
2/17
What is prob of sequence hhoh when four letters picked without replacement from {h: 3, o: 17}?
1/1140
What is prob of sequence mame when four letters picked without replacement from mmxmqameqmqeqqma?
1/364
Two letters picked without replacement from msvqzbqbvqv. Give prob of sequence zm.
1/110
What is prob of sequence hhwc when four letters picked without replacement from {c: 9, h: 5, w: 2}?
3/364
Four letters picked without replacement from {h: 6, m: 13}. What is prob of sequence mmmm?
715/3876
Three letters picked without replacement from {c: 2, e: 2, f: 4, b: 1, r: 3}. Give prob of sequence brr.
1/220
What is prob of sequence it when two letters picked without replacement from {i: 1, k: 1, t: 2, m: 1}?
1/10
Three letters picked without replacement from qxdgudqvgugud. Give prob of sequence guv.
3/572
Four letters picked without replacement from {t: 2, z: 4, d: 4, q: 4}. What is prob of sequence zqzt?
4/1001
Calculate prob of sequence tjj when three letters picked without replacement from {y: 1, t: 4, j: 2, l: 2, b: 3, i: 2}.
1/273
Three letters picked without replacement from ddyhhddhhd. What is prob of sequence yhh?
1/60
What is prob of sequence h | {
"pile_set_name": "DM Mathematics"
} |
derivative of q(o). Find the first derivative of t(f) wrt f.
-3*f**2
Let q(z) be the second derivative of -12*z + 0*z**5 + 0 + 0*z**2 + 1/6*z**6 + 0*z**4 - 8/3*z**3. Find the second derivative of q(f) wrt f.
60*f**2
Let f be (-17)/(-2) + 4*60/(-48). Let j(t) be the first derivative of -4 - 9/4*t**4 + 0*t + 0*t**3 + f*t**2. Find the second derivative of j(q) wrt q.
-54*q
Let o(c) = c**3 + c**2 + c + 1. Let u(n) = 50*n**3 + 15*n**2 + 9*n + 9. Let v(p) = -18*o(p) + 2*u(p). What is the third derivative of v(k) wrt k?
492
Let r(o) = 246*o - 85. Let m(d) = 490*d - 173. Let h(q) = -2*m(q) + 5*r(q). What is the first derivative of h(n) wrt n?
250
What is the third derivative of 426*c + 8*c**6 - 5*c**2 + 3*c**2 - 380*c + 7*c**3 wrt c?
960*c**3 + 42
What is the derivative of -4*i**3 + 1036 - 335 - 6*i**2 - 445 - i**3 - i**3 wrt i?
-18*i**2 - 12*i
Let u(t) be the third derivative of -19/6*t**3 + 0*t**5 + 0*t**4 + 0*t**6 + 0 + 2*t**2 + 4/105*t**7 + 0*t. What is the derivative of u(b) wrt b?
32*b**3
Let k(p) be the third derivative of 0*p**7 + 0*p**4 + 0 - 1/28*p**8 + 0*p**6 - 8*p**2 + 0*p + 0*p**3 + 13/60*p**5. What is the third derivative of k(n) wrt n?
-720*n**2
Find the third derivative of -509898*y**3 + 30*y**2 + 510192*y**3 + 3*y**2 + 7 wrt y.
1764
Find the third derivative of 28*i**2 + 2 + 2707*i - 2707*i + 93*i**3 wrt i.
558
Let x(p) be the second derivative of -15*p**5/4 - 85*p**3/6 + 6*p + 7. Find the second derivative of x(w) wrt w.
-450*w
Let h(x) be the second derivative of 1/2*x**3 + 0*x**2 + 0 + 9*x - 1/4*x**5 + 0*x**4. What is the second derivative of h(p) wrt p?
-30*p
Suppose -s = -5*k + 17, 5*s - 3*k - 1 = 2. What is the third derivative of 11*v**2 + 0*v + 19*v**s + 0*v**3 + 0*v wrt v?
114
Let z(x) = -41*x**3 - 2*x**2. Let k(r) = -41*r**3 - 3*r**2. Suppose -6*y - 4 + 22 = 0. Let c(l) = y*k(l) - 2*z(l). What is the third derivative of c(w) wrt w?
-246
Let x(m) = -338*m**2 + 38*m + 5. Let w(u) = 505*u**2 - 56*u - 7. Let j(h) = -5*w(h) - 7*x(h). What is the second derivative of j(t) wrt t?
-318
Let r(t) = -345*t**4 - 18*t**2 + 2*t + 83. Let h(n) = -346*n**4 - 21*n**2 + 2*n + 83. Let g(v) = -6*h(v) + 7*r(v). What is the second derivative of g(s) wrt s?
-4068*s**2
Let p be (3/3 + -2)*-4. Suppose 4*g - 2*z - 5 = 5, 0 = -4*g - 2*z - 2. Differentiate 3 + 1 - p*m**4 + g with respect to m.
-16*m**3
Let c(q) = -16*q**3 - 91*q**2 + 5*q - 10. Let z(y) = 8*y**3 + 45*y**2 - 2*y + 4. Let f(p) = 2*c(p) + 5*z(p). What is the third derivative of f(x) wrt x?
48
Differentiate 53 + 341*h - 43 - 113*h + 99 wrt h.
228
Let v(d) be the second derivative of 0*d**7 + 1/3*d**4 + 0*d**6 + 0 + 0*d**2 + 11*d + 0*d**5 + 0*d**3 - 1/7*d**8. Find the third derivative of v(l) wrt l.
-960*l**3
Let x(t) = -21*t - 16. Let v(y) be the first derivative of -41*y**2/2 - 31*y + 5. Let p(k) = -3*v(k) + 5*x(k). What is the first derivative of p(o) wrt o?
18
Let j(g) be the second derivative of g**4/12 - g**2/2 - 5*g. Let i be j(-2). Find the third derivative of -2*t + 4*t**6 - t**2 - i*t**2 + 2*t wrt t.
480*t**3
Let m be 3 + -2*1/2. Suppose m*q - 4 = 2. Differentiate 9 + 2 - q + d**3 with respect to d.
3*d**2
Let z(l) = -9*l + 10 + 18 - 10 - 22*l**2. Let f(a) = -11*a**2 - 4*a + 9. Let x(m) = -9*f(m) + 4*z(m). What is the first derivative of x(s) wrt s?
22*s
Let p(a) be the first derivative of a**4/2 - 42*a**3 - 102*a**2 + 114. Find the second derivative of p(v) wrt v.
12*v - 252
Let a(c) be the first derivative of 127*c**2/2 + 89*c - 265. Differentiate a(t) wrt t.
127
Let c(p) be the second derivative of 155*p**4/6 + 7*p**3/6 + 2*p**2 + 7*p - 26. What is the second derivative of c(m) wrt m?
620
Let b(a) be the first derivative of -29*a**4/24 - 11*a**3/2 + 11*a**2/2 + 14. Let q(j) be the second derivative of b(j). What is the derivative of q(w) wrt w?
-29
Let c be (-5 - 0 - 5)/((-5)/2). Let i(q) be the third derivative of 0 - 5*q**2 + 0*q + 7/6*q**3 - 1/4*q**c. Differentiate i(n) with respect to n.
-6
Suppose x + 4*x + 90 = 0. Let g = x + 21. What is the third derivative of g*l**6 + 8*l**6 + 2*l**2 - l**2 wrt l?
1320*l**3
Let s(b) be the second derivative of -62*b**4/3 + 11*b**3/3 - b**2/2 - 2*b - 110. What is the second derivative of s(r) wrt r?
-496
Find the second derivative of 471*z**2 + 59*z - 34*z + 22*z + 120*z + 23*z wrt z.
942
Find the third derivative of -37*u**3 + 16*u**2 - 11*u**2 - 26*u**3 - 19*u**2 wrt u.
-378
Let b(x) = -x**3 - x**2 - x. Let o(g) = -30*g**3 - 8*g**2 - 8*g + 68. Let m(r) = 8*b(r) - o(r). What is the derivative of m(k) wrt k?
66*k**2
Let b = 7 - 5. Suppose -4*a - 2*n = -b, a - 3*n - 6 = 4*a. Find the second derivative of -2*p - 4*p + 79*p**3 - 75*p**a wrt p.
24*p
Suppose 0 = 5*f - 21 - 9. Let b be (3/f)/((-1)/(-4)). Find the first derivative of -4 - b + 1 - 5*y**2 wrt y.
-10*y
What is the third derivative of 116*x**2 + 83*x**4 + 35*x**2 - 173*x**4 wrt x?
-2160*x
Differentiate -222 - 19*t**2 + 203 - 22*t**2 wrt t.
-82*t
Find the second derivative of -21*j - 7 + 24*j**4 + 25*j - 167*j**4 wrt j.
-1716*j**2
Let g(d) be the second derivative of -25*d**7/42 + 2*d**3 + 85*d. What is the second derivative of g(z) wrt z?
-500*z**3
What is the third derivative of 52*f**3 + 350*f**2 - 12 + 12 - 443*f**2 wrt f?
312
What is the derivative of 33 + 101*h + 29*h - 15*h wrt h?
115
Let m(r) = 1352*r**3 + 881*r**2 + 7*r + 7. Let f(o) = -676*o**3 - 441*o**2 - 3*o - 3. Let j(i) = 7*f(i) + 3*m(i). What is the third derivative of j(h) wrt h?
-4056
Suppose -14*f - 3 = -15*f. Let g(l) be the third derivative of 1/12*l**5 + 0*l + 0*l**f - l**2 + 0 - 5/24*l**4. What is the second derivative of g(d) wrt d?
10
What is the second derivative of -y**5 - 96*y - 243*y**3 + 488*y**3 - 244*y**3 - 58*y wrt y?
-20*y**3 + 6*y
Let v(l) be the second derivative of -l**6/120 - l**5/6 + 5*l**2/2 + 7*l. Let c(m) be the first derivative of v(m). Find the third derivative of c(n) wrt n.
-6
Suppose 4*g + 12 = -d, -3*d - 24 = -2*d - 2*g. Let a be 6 - -1 - d/(-10). What is the second derivative of 6*j + 4*j - 4*j**a + 0*j - j wrt j?
-80*j**3
Differentiate 2*z + 70 + z**2 - 10*z**2 + 10*z**2 + 3*z**2 with respect to z.
8*z + 2
Let d(o) be the first derivative of -35 + 0*o + 23/2*o**2 + 0*o**3 - 7/2*o**4. What is the second derivative of d(r) wrt r?
-84*r
Let g be (3/(-9))/(3/(-2367)). What is the second derivative of g*i**3 + 10*i**4 - 263*i**3 - 4*i wrt i?
120*i**2
Suppose -7 = -3*t + a - 6*a, 4*t - a = 40. Suppose t*s = 8*s. Differentiate -5 + 15 - 11*f + s with respect to f.
-11
Let l(o) be the second derivative of 35*o**5/4 + 17*o**3/3 - 4*o + 9. Find the second derivative of l(w) wrt w.
1050*w
Let u(j) be the third derivative of -1/3*j**3 + 2*j**2 + 7*j + 0 - 9/20*j**6 - 7/12*j**4 + 1/60*j**5. What is the second derivative of u(s) wrt s?
-324*s + 2
Find the second derivative of 178*w**5 - 363*w**5 + 179*w + 24*w - 191*w**5 + 10*w wrt w.
-7520*w**3
Let m(o) = -o**2 - 2*o + 2. Let l(p) = -262*p**2 - 351*p - 4. Let z(b) = 2*l(b) + 4*m(b). Find the second derivative of z(v) wrt v.
-1056
Let u be 2/(-1 + 6/3). What is the second derivative of 6*d - 2*d - 8*d**u - 5*d**2 + d**2 wrt d?
-24
Let o(g) be the second derivative of -261*g**5/10 + 425*g**2/2 + 515*g - 1. What is the derivative of o(l) wrt l?
-1566*l**2
Let l = 60 + -56. Differentiate 2*p**4 + 0*p**4 - 48 - 8*p**4 - p**3 + 3*p**l with respect to p.
-12*p**3 - 3*p**2
Let t(x) be the third derivative of -5 - 7/12*x**5 - 3*x**2 + 0*x - 1/6*x**4 - 2/3*x**3. Find the second derivative of t(f) wrt f.
-70
Let v(p) be the second derivative of 127*p**6/30 + 2*p**4/3 - p**3 + 2*p - 60. Find the third derivative of v(x) wrt x.
3048*x
Let k(i) = i**2 + 2*i - 6. Let w be k(4). Suppose -w = -2*a - a. Find the third derivative of -7*u**2 + 8*u**3 - 6*u**2 + a*u**2 wrt u.
48
Let l(h) be the first derivative of -32*h**6/3 - h**3/3 + 484*h**2 + 309. What is the second derivative of l(c) wrt c?
-1280*c**3 - 2
Let s(b) = -45*b + 135. Let d = 83 - 28. Let w(q) = -5*q + 15. Let m(f) = d*w(f) - 6*s(f). What is the first derivative of m(a) wrt a?
-5
Let n(b) = 893*b + 3478. Let t(k) = -94*k - 366. Let f(w) = -5*n(w) - 47*t(w). Differentiate f(h) with respect to h.
-47
Let d be 58/4 - 5/10. What is the derivative of -d*o**3 + 2 - 5*o + 2*o + 3*o wrt o?
-42*o**2
Suppos | {
"pile_set_name": "DM Mathematics"
} |
2441 - -3981. Suppose 0 = 5*t + 5*m - u - 963, -2*t + 2954 = 5*m. Is t composite?
True
Let s = 51454 - 25833. Is s prime?
True
Let k be 3 + 0 + 2/1. Suppose -k*o = -5*v, o + 0*v + v = 0. Suppose 4*r - 5*y - 1363 = o, -r - 3*y = 4*r - 1750. Is r a prime number?
True
Suppose n - 6*n + 10 = 0. Suppose -m - 5 = 0, 5*m - 119 = -n*g + 4*m. Is g composite?
True
Let x(n) = -200*n**2 + 3*n - 2. Let o(y) = y**2. Let f(p) = 4*o(p) - x(p). Is f(1) a prime number?
False
Let c be ((-7)/(-2) - 0)/(25/50). Suppose 2*n = -4, 8*n = 2*d + c*n - 2796. Is d prime?
False
Suppose -4*d + 183 + 289 = 0. Let l = 21 + d. Is l composite?
False
Let o(h) = 1073*h**2 - 60*h - 22. Is o(-4) a composite number?
True
Suppose 122843 = 5*j - 4*n, -2*j = -113*n + 118*n - 49157. Is j a prime number?
True
Let c(q) = 18*q**2 - 79*q - 122. Is c(51) prime?
True
Suppose 4*s + 12 = -0*s, 2*w + 3*s + 5 = 0. Let u be (-2364)/(-10) - 24/60. Suppose 0 = -w*v + u - 42. Is v composite?
False
Let x = 348 - -2206. Is x composite?
True
Suppose 106*i - 96*i = 45470. Is i prime?
True
Let g = 4 + -1. Suppose -4 = -y - g*y. Is (-218)/(-1) + (y - -2) composite?
True
Let j = 291 + -880. Let a = -410 - j. Is a composite?
False
Let x = 1924 + 17. Is x prime?
False
Suppose -3*p = 3 - 30. Let z be (p - 0)/((-1)/1). Let n(o) = -18*o - 3. Is n(z) composite?
True
Suppose 0 = 6*u + 6637 - 47923. Is u composite?
True
Let b(s) be the third derivative of -17*s**4/8 - 4*s**3/3 - 5*s**2. Let h be b(-7). Suppose -733 = -2*n + h. Is n composite?
False
Let w(d) = -359*d**3 - 3*d + 57. Is w(-5) prime?
False
Suppose 0 = -4*w - 7*w + 35794. Is w prime?
False
Let z(w) = 53*w + 20. Let y be z(5). Suppose d - y = 4*g, 2*d - 4*g - 580 = -g. Is d a composite number?
False
Suppose -2*r - r - 2166 = 0. Let a = 147 + r. Is a/(-10)*4/2 a prime number?
False
Is -1 + (-6)/(-7) + (-3238600)/(-350) prime?
False
Let h = -2 - -5. Let n = 1307 + -721. Suppose -t + h*t - n = 0. Is t prime?
True
Let a = 10 - 3. Let n be (12 - a)*2/2. Suppose n*x = 528 + 557. Is x composite?
True
Let s(h) = -h**3 + 4*h**2 - 4*h + 3. Let o be s(3). Suppose -6 = -3*n - o. Suppose 14 = 2*l - 5*a, n = 3*l - 2*a - 19. Is l a composite number?
False
Let z = -38 - -40. Suppose 4*i - 2*i + 4*g - 442 = 0, z*i = -3*g + 439. Is i prime?
False
Suppose 2 = -o, -4*l + 2*l + 366 = 2*o. Suppose x - 3*a - l = -21, -4*a + 318 = 2*x. Is x prime?
False
Let a(i) = 2*i**2 + 2*i + 3. Let h be a(0). Suppose -3*x - 3*m = -137 - 1009, 0 = -3*x + h*m + 1146. Is x composite?
True
Let b(h) = -h**3 - 6*h**2 + 2*h + 14. Let m be b(-6). Suppose -2*j + 485 = 3*j. Suppose -j = m*s - 3*s. Is s a composite number?
False
Let q(s) = 4*s**2 + 15*s - 5. Let d be q(-5). Let r(n) = 27*n + 41. Is r(d) a composite number?
True
Is (1486 - 15)*(-3)/((-12)/76) prime?
False
Suppose -5*t + 3*m + 268470 = 0, -4*t - 5*m + 43814 + 170962 = 0. Suppose -t = -3*s - 0*j - j, -s + 17900 = j. Is s/88 + (-6)/16 composite?
True
Let v(u) = 364*u - 195. Is v(16) a prime number?
False
Suppose q + 0*q - 10 = -2*o, o = 4. Let v(t) be the second derivative of 31*t**3 - t**2/2 + 4*t. Is v(q) a composite number?
True
Let f = 16391 + -9322. Is f a composite number?
False
Let y(z) be the second derivative of -z**4/12 - z**3/2 + 2*z**2 + 3*z. Let a be y(-3). Suppose -2*b - 258 = -a*b. Is b prime?
False
Let s = -8741 - -17404. Is s composite?
False
Suppose -f + 4*h = -690, 3*f + 0*f - 2126 = -2*h. Is f a composite number?
True
Suppose -2*l - 28*b + 30*b = -5338, -8023 = -3*l - 5*b. Is l a composite number?
False
Let r be 0/(4 + 1 + -4). Suppose 6*i - i + 20 = r. Is (2/i)/((-4)/1624) a composite number?
True
Is (-64822)/(4 - 2)*-1 prime?
True
Let v = 817 - 441. Suppose -4279 = 18*k - 445. Let z = v + k. Is z a prime number?
True
Suppose 261*h = 298*h - 648203. Is h prime?
True
Suppose -5*o + 4*v + 1282 = 0, -o + 0*o - 2*v + 262 = 0. Suppose 3*r + 387 = 2*t, 2*r + o = t + 2*t. Let b = r + 260. Is b a prime number?
True
Let u = 1001 + -305. Let k = u - 485. Is k a composite number?
False
Let y = 867 + 5272. Is y a prime number?
False
Let i = -23 - -30. Let b(p) = -7*p**2 + 4 + 8*p**2 + i*p - p. Is b(5) a prime number?
True
Suppose -24*x = -20*x - 15332. Is x a prime number?
True
Let s(f) = 11*f**2 + 19*f - 113. Is s(26) a composite number?
False
Let j(s) = 119*s**3 - 5*s**2 - 3*s - 49. Is j(6) composite?
False
Let x(j) = 5*j + 68. Is x(3) a prime number?
True
Let q(k) = -2*k**3 - 3*k**2 - 3*k - 1. Let l be q(-2). Let h = 5 - l. Is (-40)/h + (-3)/(-1) prime?
True
Suppose -h + 449 = -436. Let x = h + 262. Is x prime?
False
Is (-22432)/((-4)/1) + 5 a composite number?
True
Let z be (-20283*1/(-12))/(1/4). Suppose -26716 + z = -5*d. Is d a prime number?
False
Suppose -u = 4*n + n + 29, -u + 1 = -n. Let c = 1 - n. Suppose -z - 635 = -c*z. Is z a composite number?
False
Let t(q) = -3*q + 37. Let p be t(11). Is 59*(0 + 14)/(p + -2) a prime number?
False
Let a(z) = z**3 - 13*z**2 + z - 13. Let t be a(13). Suppose 3*b + t*p - 386 = -5*p, -2*p - 252 = -2*b. Is b a composite number?
False
Is 9080 - 58 - (2/1)/(-2) prime?
False
Let s be (-2)/(-2) - (1 + -8). Let b be 1/(-1) + s + -5. Is (b/1)/(2/223) a composite number?
False
Let z = 61 - 55. Suppose r = -4, 3*d - z*r + 2*r - 2035 = 0. Is d prime?
True
Let a(v) = 2*v**2 - 1 + 3*v**2 - 3*v**2 + 7*v**2 + v**3 - v. Let c be a(-9). Is (4/3)/(c/276) a composite number?
True
Suppose 4*v - 2 = 10. Suppose b - 103 - 39 = 0. Suppose -4*n = -3*u + 85 + 69, v*u - b = n. Is u composite?
True
Let r(u) = 14*u**2 - 27*u + 373. Is r(24) composite?
False
Let x(b) = -48*b - 1. Let y be (-2 + 6)*2/(-4). Is x(y) composite?
True
Let l(g) = -88*g**3 + g**2 - 67*g - 303. Is l(-5) prime?
True
Suppose 520*q = 521*q - 1571. Is q prime?
True
Suppose 3 = 4*y - 3*t, -y + 3*t = -0*y - 3. Let f be (1675 - -10) + (y - 2). Let a = f - 1014. Is a a composite number?
True
Let z be 4/2*27/(-2). Let c = 33 + z. Suppose -2*m + c*m - 636 = 0. Is m a prime number?
False
Suppose -4*p + 9 = -i - 2, 3*p + 3*i - 12 = 0. Suppose 5270 = -0*b + 2*b + p*j, 2*b + 5*j - 5278 = 0. Is b prime?
False
Suppose 60*o = -2*a + 61*o + 910, -4*a = 5*o - 1848. Is a composite?
False
Let d(l) = 518*l**2 - 7*l + 11. Is d(6) prime?
True
Suppose 0*t - 4*t + 96 = 0. Let z = t + -20. Is (-445)/(-3) + z/6 prime?
True
Suppose v - 809 = 2*g, 2*v + 2*g = 1196 + 392. Is v a composite number?
True
Suppose 2*a + 0*u + 3*u = 16, 0 = -5*a - 5*u + 35. Suppose -5*d + a = -0*d, 0 = -3*p + 3*d + 228. Is p prime?
False
Suppose -5*b = -7*b. Let s = -145 - -221. Suppose -3*f + 607 - s = b. Is f prime?
False
Let l(h) = 3 - 2*h - 20*h**2 - h + 19*h**2. Let y be l(-3). Is (y - 14)*-3*1 composite?
True
Let t = -3825 - -7427. Is t composite?
True
Suppose 1471 = 3*m - 5*y, 4*m = 10*y - 12*y + 1944. Is m prime?
True
Suppose -4*c - 2*s = -17602, 3*c + 10*s - 13200 = 9*s. Is c a composite number?
True
Let b = 3761 + -6052. Let u = b - -4050. Is u prime?
True
Is (-17)/(-68) + (-213868)/(-16) a prime number?
True
Suppose -2*q + 3*g = -0*q - 40739, 2*g - 81454 = -4*q. Is q prime?
False
Suppose 10*w = 5*w + 40. Suppose 1226 = w*o - 6*o. Is o composite?
False
Suppose 1 + 1 = -2*h, -2*v - h = -3425. Suppose 0 = 27*w - 30*w + v. Is w composite?
False
Let f(q) = 2*q**3 + 7*q**2 + 13*q + 31. Is f(11) a composite number?
True
Let w(l) be the second derivative of 69*l**4/2 + l**3/3 - 7*l**2/2 + 6*l. Is w(-4) prime?
False
Let c be (-3)/(-2)*(4/(-6) + 0). Is 2*c/(4/(-878)) a composite number?
False
Suppose -7*o - 12 = -4*o. Let g be 1 + o - (-781)/(-11). Is 1*(-1)/2*g a composite number?
False
Let z = 3651 + -1973. Let n = -1107 + z. Is n a composite number?
False
Let y(v) = -657*v - 4. Let k = -88 - -85. Is y(k) a composite number?
True
Let q(m) = m**3 - 6*m**2 + 3. Suppose -6*a + g + 26 = -2*a, 40 = 5*a - 5*g. Let r be q(a). Is 47/((3/5)/r) prime?
False
Let q = -11 - -13. Suppose 2*u + 3*w + 117 = 5*u, 3*w + 83 = q*u. Suppose -2*h + 120 = u. Is h a composite number?
False
Let m(z) = -421*z - 14. Suppose 21 = 4*u - 7*u. Let h be m(u). Suppose 2*r = 5*p - h, -r - 2*r = -2*p + 1171. Is p prime?
True
Suppose 28769 = 2*j + 5*q - 6354, -4*j - q = -70273. Is j composite?
False
Suppose 162697 = -25*g + 44*g. Is g a composite number?
False
Let m = -155 - -151. Let l(x) = -3*x**3 + 3*x**2 - 6*x + 2 | {
"pile_set_name": "DM Mathematics"
} |
b(a) = -6 - 6*a**2 - 2 + a**3 + 4*a + 2*a**2 + 4. Let s be 3*1/1 + 1. Give s*n(o) + 21*b(o).
-3*o**3
Let n be -39*3/13*-1. Let v(u) = u**2 + 4*u - 4. Let x(g) = 2*g**2 + 9*g - 9. Calculate n*v(h) - 4*x(h).
h**2
Let l(y) = y - 3. Let g(r) = r + 2. Determine -2*g(a) + l(a).
-a - 7
Let l(k) = 118*k**2 + k + 2. Let v(i) = 234*i**2 + i + 5. What is 5*l(n) - 2*v(n)?
122*n**2 + 3*n
Let f(z) = 9*z**3 + 5*z**2 + 25*z + 8. Let p(r) = 13*r**3 + 7*r**2 + 37*r + 11. Determine 7*f(s) - 5*p(s).
-2*s**3 - 10*s + 1
Let f(j) = 5*j**2. Suppose -5*a = -2*o - 13, 5*o + 15 = 5*a - 10. Suppose 7*n - 6*n + a = 0. Let y(t) = t**2 - 1 + 1. What is n*f(i) + 4*y(i)?
-i**2
Let i(f) = -40*f + 36*f + 7*f + 4. Let j(y) = -10*y - 13. Determine 14*i(w) + 4*j(w).
2*w + 4
Let u(s) = 386*s - 30. Let v(f) = 1930*f - 160. What is 16*u(g) - 3*v(g)?
386*g
Let x = -45 - -179. Let h(y) = -y + x - 134. Let m(k) = 4*k + 1. What is 18*h(a) + 4*m(a)?
-2*a + 4
Let y(r) = r**2 - 2*r + 1. Let p(g) = g**2 - 6*g + 1. Let x(l) = -l**2 - 7*l - 1. Let m(a) = -3*p(a) + x(a). Determine -2*m(q) - 11*y(q).
-3*q**2 - 3
Let q(n) = -6*n**3 - 3*n**2 - 5*n - 8. Let c(h) be the first derivative of h**4/4 + h**3/3 + h**2/2 + h + 186. What is 5*c(l) + q(l)?
-l**3 + 2*l**2 - 3
Let g(z) = 6*z**3 - 4*z**2 + 3. Let o = 13 + -17. Let t(y) = 17*y**3 - 11*y**2 + 9. Suppose 0*s - 4*s = -44. What is o*t(k) + s*g(k)?
-2*k**3 - 3
Let t(j) = -j - 1. Let w(m) = -2*m**3 - 5*m**2 - 2*m + 1. Let h be w(-2). Let n(i) = 4*i + 6. Determine h*n(b) + 5*t(b).
-b + 1
Let z(p) = -123*p + 1. Let y(c) = 244*c - 1. What is 3*y(x) + 5*z(x)?
117*x + 2
Let u be (2/(-5))/((-2)/10). Suppose 52*m - 56*m - 432 = 0. Let g = m + 107. Let s(d) = -4*d**3 + 2*d**2. Let k(n) = -n**3 + n. What is g*s(y) + u*k(y)?
2*y**3 - 2*y**2 + 2*y
Let d(g) = 2*g - 3. Let i(s) = 38 + 6*s + s - 47 + s**2. What is 7*d(c) - 2*i(c)?
-2*c**2 - 3
Let p(i) = i**2 - i + 1. Let y(z) = 7*z**2 - 2*z + 3. What is 6*p(q) - y(q)?
-q**2 - 4*q + 3
Let n(h) = h**2 - 8*h - 50*h - 2 + 56*h. Let a(y) = -3*y**2 + 7*y + 7. Give -2*a(o) - 7*n(o).
-o**2
Let j(f) = -f + 1. Suppose -3*y - 5*v - 11 = 2, 5*v + 33 = 2*y. Suppose -c = -y*c. Let n(s) = -3*s + 1 + 3 + c - 2. Calculate 5*j(d) - 2*n(d).
d + 1
Let l(h) = h**3 + 7*h**2 - 6*h - 6. Let m(z) = 30*z**2 - z + 5. Let v(b) = -54*b**2 + b - 10. Let w(t) = -11*m(t) - 6*v(t). What is 5*l(p) + 6*w(p)?
5*p**3 - p**2
Let w(y) = -261*y**2 - 4*y + 4. Let o(f) = 259*f**2 + 5*f - 5. Determine 4*o(r) + 5*w(r).
-269*r**2
Let h(v) be the second derivative of 13*v**5/20 - 11*v**4/12 + 2*v**2 + 11*v + 2. Let y(a) = -20*a**3 + 17*a**2 - 6. Calculate -8*h(d) - 5*y(d).
-4*d**3 + 3*d**2 - 2
Let n(p) = -8*p**3 + 2*p**2 + 45*p + 4. Let c(a) = -15*a**3 + 4*a**2 + 90*a + 7. Give 6*c(l) - 11*n(l).
-2*l**3 + 2*l**2 + 45*l - 2
Let v(n) = n**2 - 3*n - 1. Let a(o) = -59 + o**2 - 59 + 119 - 2*o**2 + 4*o. Give 4*a(c) + 5*v(c).
c**2 + c - 1
Let l(p) = -2*p. Let g(s) = 306*s. What is -2*g(t) + 476*l(t)?
-1564*t
Let y(h) = -5863*h**3 + 33*h**2 + 33*h. Let i(o) = 733*o**3 - 4*o**2 - 4*o. Determine -33*i(t) - 4*y(t).
-737*t**3
Let k be (13 + -7)/(2/3). Let h(r) = 3*r**2 - 9*r. Let x(g) = -g + 3. Let t(f) = 1. Let m(i) = -3*t(i) + x(i). Calculate k*m(b) - h(b).
-3*b**2
Let w(y) = 5*y**3 + 5*y**2 + 9*y + 5. Suppose 8*j = 14*j - 18. Let k(n) = -2*n**3 - 3*n**2 - 5*n - 3. Determine j*w(f) + 5*k(f).
5*f**3 + 2*f
Let f(l) = -9*l - 63. Let q(r) = -r - 1. Calculate -5*f(o) + 315*q(o).
-270*o
Let w(r) = r**2 - 2*r + 4. Let x be w(3). Let o(l) = -3*l**3 + 4*l**3 + l**3 + 4*l**3. Let v be 8/24 + (-10)/3. Let c(h) = 3*h**3. Determine v*o(p) + x*c(p).
3*p**3
Let p(r) = 16*r**2 - 15*r - 493. Let d(c) = 23*c**2 - 21*c - 739. Give -5*d(g) + 7*p(g).
-3*g**2 + 244
Let f(k) = -2*k + 1. Let g(w) = 235*w. Calculate 2*f(i) + g(i).
231*i + 2
Suppose -6*t = -3*t - 15. Let y(d) = 3*d**3 - 4*d**2 + 4*d. Let p be (-10)/3*(-9)/6. Let i(w) = 0*w**2 + 5*w + 7*w**3 - 3*w**3 - p*w**2. Give t*y(n) - 4*i(n).
-n**3
Let h(s) = -4*s + 4. Let c = -23 - -25. Suppose 2*y + c*u - 4*u - 10 = 0, 4*y - 20 = 2*u. Let d(i) = -7*i + 7. Let q = 6 + -9. Calculate q*d(l) + y*h(l).
l - 1
Let d(o) = 5*o**2 - o - 4. Let s(z) = 1. Let t be (1 + -2)/(5 - 6). What is t*d(n) + 4*s(n)?
5*n**2 - n
Let q(b) = 6*b - 13. Let d(f) = 5*f - 12. Suppose 4*k - 132 + 116 = 0. Calculate k*d(t) - 3*q(t).
2*t - 9
Let y(d) = 321*d**2 + 5*d - 15. Let r(k) = 642*k**2 + 9*k - 27. Give 5*r(l) - 9*y(l).
321*l**2
Let x(l) be the first derivative of -l**4/4 - l**2/2 - 812. Let s(m) = -14*m**3 + 3*m. Give -s(v) - 3*x(v).
17*v**3
Let o(b) = -16*b + 6. Let s(r) = -8*r. Let f(v) = 5*v + 1. Let n(m) = -5*f(m) - 5*s(m). What is -5*n(w) - 4*o(w)?
-11*w + 1
Let t(l) = -314*l - 11. Let n(m) = 156*m + 5. What is -13*n(d) - 6*t(d)?
-144*d + 1
Let r(x) = 9*x. Let d(w) = w + 151 - 151. Calculate 24*d(t) - 3*r(t).
-3*t
Suppose -1606*s + 22 = -1595*s. Let a(q) = -6*q + 14*q - 11*q. Let j(d) = 13*d. Give s*j(f) + 9*a(f).
-f
Let x(j) = -6671*j - 3*j**2 + 6669*j - j**3 + j**2. Let s(z) = -4*z**3 - 9*z**2 - 9*z. Let k be 12*-6*2/16. What is k*x(y) + 2*s(y)?
y**3
Let d(c) = -4*c**2 + 3*c + 6. Let t(h) = -4*h**2 + 3*h + 1. Let w be t(-1). Let v(p) = -3*p**2 + 2*p + 5. What is w*v(x) + 4*d(x)?
2*x**2 - 6
Let g(u) = 4*u**3 - u - 1. Let c(x) = -59*x**3 + x + 1. What is c(a) + g(a)?
-55*a**3
Let r(c) = -c**2 - 26. Let l(s) = s**2 + 12. What is 5*l(u) + 2*r(u)?
3*u**2 + 8
Let u(o) = o**3 + o**2 + o. Let c(l) = -3*l**3 + l**2 - 5*l + 7. Determine -c(i) - 2*u(i).
i**3 - 3*i**2 + 3*i - 7
Let w(n) = -6*n**2 + 20*n + 2. Let t(q) = -3*q**2 + 10*q + 1. Determine -7*t(g) + 3*w(g).
3*g**2 - 10*g - 1
Let k(y) be the first derivative of 9*y**2/2 - y - 2384. Let q(j) = 19*j - 2. Suppose 2*z + 8 = 4*z. What is z*q(c) - 9*k(c)?
-5*c + 1
Let z = -24 + 26. Suppose z*v = -3*v + 135. Let x(k) = 48*k**3 + 27*k**2 - 27*k. Let d(o) = -7*o**3 - 4*o**2 + 4*o. Determine v*d(c) + 4*x(c).
3*c**3
Let t(r) = -r + 6. Let g(n) = 1. Suppose -4*l = l - 15, 3*m - 2*l = 6. Let k(i) = i**3 - 5*i**2 + 6*i - 6. Let x be k(m). Calculate x*t(j) - 11*g(j).
-2*j + 1
Let l(g) be the third derivative of -g**4/6 - 7*g**2 + 2*g. Let z(p) be the first derivative of 3*p**2/2 - 2. What is 2*l(m) + 3*z(m)?
m
Let g(c) = 8*c**3 - 6*c**2 + 6. Let h(a) = 7*a**3 - 5*a**2 + 6. Let o = -1123 - -1117. Give o*h(z) + 5*g(z).
-2*z**3 - 6
Let d(k) = 126*k**3 - 4*k. Let r(l) = 129*l**3 - 3*l. Determine -2*d(o) + 3*r(o).
135*o**3 - o
Let c(a) = 3*a**2 + 4*a + 12. Let m(i) = 3*i**2 + 5*i + 14. Calculate -7*c(w) + 6*m(w).
-3*w**2 + 2*w
Let f(l) = -6*l**2 - 2*l - 3. Let k(u) = 7*u**2 + 2*u + 4. Let b(n) = -n**3 + 15*n**2 + 52*n + 33. Let s be b(18). Calculate s*k(w) - 4*f(w).
3*w**2 + 2*w
Let z(n) = 11*n - 11. Let s(u) = -12*u + 12. What is -5*s(m) - 6*z(m)?
-6*m + 6
Let f(m) = 5*m**3 - 8*m**2 - 4*m. Suppose -52*z + 108 = -204. Let s(y) = 11*y**3 - 17*y**2 - 9*y. Calculate z*s(w) - 13*f(w).
w**3 + 2*w**2 - 2*w
Let l(v) = 5*v**2 - 13*v + 4. Let u(i) be the first derivative of -2*i**3/3 + 2*i**2 - i - 24. Determine -2*l(y) - 7*u(y).
4*y**2 - 2*y - 1
Let d(u) = 2*u**3 + 2*u**2. Let a(r) = -3*r**3 - 3*r**2. Let h = 84 - 76. Determine h*d(y) + 5*a(y).
y**3 + y**2
Let t be 2 - (2 - 15) - 0. Suppose -6*p + 3 = -t. Let d(l) = -5*l**2 - 3 + 2 - 1. Let r(f) = 6*f**2 + 3. Determine p*d(u) + 2*r(u).
-3*u**2
Let b(a) = -1. Let k(f) = 53*f + 583. Determine -1166*b(r) - 2*k(r).
-106*r
Let o(r) = -6*r + 1. Suppose 0 = -5*p - 0 - 20. Let m be 1/((-30)/(-24)) + 42/10. Let h(k) = -7*k + 1. Determine m*o(d) + p*h(d).
-2*d + 1
Let x(q) = -3*q + 7. Let p(s) = 2*s - 6. Let k(j) = -j**2 + 5*j + 19. Let n be k(-3). What is n*p(i) - 4*x(i)?
2*i + 2
Let h(s) = -8*s + 4. Let v be 105/(-195) - 18/39. Let u(o) = -o - 1. What is v*h(c) - 2*u(c)?
10*c - 2
Let l(h) be the second derivative of 2*h**3/3 - 3*h**2/2 - 13*h. Let q(w) = -w. Let k(u) = -15*u + 16. Let c(s) = -k(s) - 6*q(s). Calculate -2*c(f) + 11*l(f).
2*f - 1
Let p(o) = 4*o**3 + 32*o**2 - 2*o - 23. Let c(f) = 11*f**3 + 96*f**2 - 6*f - 66. Determine 6*c(v) - 17*p(v).
-2*v**3 + 32*v**2 - 2*v - 5
Let f(g) = 3*g**2 - 6*g + 2. Let r(c) = 2*c - 7. Let n be r(7). Let b(p) = -5*p**2 + 11*p - 3. Give n*f(q) + 4*b(q).
q**2 + 2*q + 2
Let s(n) = -n**2 + n. Let y(k) = 24*k**2 - 22*k. Suppose -b + 10 + 6 = 0. Suppose b*w | {
"pile_set_name": "DM Mathematics"
} |
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