6 + 0) - (-1036)/111. Let 1/3*s**2 - 14/3 + o*s = 0. Calculate s.
-14, 1
What is n in -8*n**3 + 732*n + 25*n**3 + 376*n**2 + 26*n**3 - 1641 + n**4 + 489 = 0?
-32, -6, 1
Let y be (-34)/(-2) + 37/((-1369)/555). Factor -32/7*k + 2/7*k**y + 0.
2*k*(k - 16)/7
Suppose 4*b + 6*v - v + 31 = 0, 14 = -2*b - 2*v. Let t be 90/36*(-2)/b. Factor -15/4*y**4 + 5/2*y**2 + 15/4*y - 5/2*y**3 - 5/4*y**5 + t.
-5*(y - 1)*(y + 1)**4/4
Suppose 2 - 3 = -254*a - 2 + 1. Determine v so that 63/4*v**4 + 18*v**3 + a + 3*v**2 - 147/4*v**5 + 0*v = 0.
-2/7, 0, 1
Let i(u) be the third derivative of -1/45*u**5 - 1/4*u**4 + 2*u**3 + 0*u - 196*u**2 + 1/180*u**6 + 0. Factor i(c).
2*(c - 3)*(c - 2)*(c + 3)/3
Suppose 7*m - 2*p = 5*m + 22, -m - 16 = 2*p. Suppose 0 - 3/7*t**m - 12/7*t = 0. What is t?
-4, 0
Suppose 3*j + 2*j = 35. Find x, given that j*x**2 - 405 - 13*x**2 + x**2 - 90*x = 0.
-9
Suppose -132*x + 40*x = -315 - 53. Let n(l) be the second derivative of 0 + 1/110*l**5 + 125/11*l**2 + 5/22*l**x + 25/11*l**3 - l. Factor n(b).
2*(b + 5)**3/11
Let m(i) be the third derivative of 7*i**6/24 - 13*i**5/6 - 2215*i**4/6 - 420*i**3 + 2106*i**2. Factor m(a).
5*(a - 18)*(a + 14)*(7*a + 2)
Suppose -4*y = -15*s + 19*s - 24, -y + 10 = 3*s. Find r such that 256*r**4 - 140*r - 254*r**s - 451*r**2 - 12 + 177*r**2 - 576*r**3 = 0.
-1/4, 3
Factor -155674/7*r - 2/7*r**3 - 306916/7 - 1112/7*r**2.
-2*(r + 2)*(r + 277)**2/7
Let j(y) be the second derivative of -y**6/90 + 167*y**5/15 - 27889*y**4/9 - 414*y + 9. Find i such that j(i) = 0.
0, 334
Let b(r) = 2*r**2 - 175*r - 36358. Let j be b(-98). Solve -21/4*z - 1/4*z**3 + 5/2*z**2 + j = 0 for z.
0, 3, 7
Suppose -3*h - 3 = -3*q, 4*q - h + 4*h - 32 = 0. Let 4*u**4 - 21893*u**3 + 2*u - 4*u**2 - 2*u**q + 21893*u**3 = 0. Calculate u.
-1, 0, 1
Suppose 0 = -6*h + 56 - 8. Determine i, given that -12*i - 16 - h*i + 85*i**2 - 4 - 90*i**2 = 0.
-2
Let n be (14 - 20)/(-5 - (-18)/9). Let h = 172/9 - 19. Determine o, given that 1/9*o**n - h*o + 0 = 0.
0, 1
Suppose 3*n + 48 - 36 = 5*s, 5*s + 3*n = -12. Suppose 10*p = 5*g + 9*p, 4*g + 4*p = s. Suppose -1/2 + g*f + 0*f**3 - 1/2*f**4 + f**2 = 0. What is f?
-1, 1
Let g be ((-4)/5)/(-10 - 294/(-30)). Solve -3933*p**4 + 15 + 3928*p**g + 20*p**3 - p**2 - 20*p - 5*p**2 - 4*p**2 = 0.
-1, 1, 3
Factor 359/2*t + 1/4*t**2 + 128881/4.
(t + 359)**2/4
Let j = -350 + 348. Let b be ((-124)/(-2945))/(j/(-5)). Let b*o**4 - 2/19 + 4/19*o**3 + 0*o**2 - 4/19*o = 0. What is o?
-1, 1
Suppose 0 = -609*l + 594*l. Let r(w) be the third derivative of 3/2*w**3 - 3/20*w**5 + 1/8*w**4 - 5*w**2 + 0*w - 1/40*w**6 + l. Suppose r(y) = 0. Calculate y.
-3, -1, 1
Let v(y) be the second derivative of y**6/105 + 57*y**5/35 + 166*y**4/21 - 38*y**3/7 - 333*y**2/7 + 3*y + 844. Suppose v(j) = 0. Calculate j.
-111, -3, -1, 1
Let s(j) be the second derivative of -j**7/3780 - j**6/324 - j**5/180 + j**4/12 - 70*j**3/3 - 152*j + 2. Let z(n) be the second derivative of s(n). Factor z(o).
-2*(o - 1)*(o + 3)**2/9
Let d = -917/39 + 310/13. Let p(m) be the second derivative of 22*m + 1/12*m**4 + 1/20*m**5 - d*m**3 + 0 + 0*m**2. Suppose p(t) = 0. Calculate t.
-2, 0, 1
Let f(l) be the third derivative of 2*l**2 - 258*l - 1/180*l**6 - 361/36*l**4 - 19/45*l**5 + 0*l**3 + 0. Let f(a) = 0. What is a?
-19, 0
Suppose 2 = 2*l, -2*k + 4*l + 4 = 14. Let y be (k + 3)/(-2) - -2. Find n such that -5*n**y + 3 - 5*n + 0 + 7 = 0.
-2, 1
Let w(r) = 21*r**2 - 31*r + 72. Let b(t) = 58*t**2 - 93*t + 219. Let a(h) = 4*b(h) - 11*w(h). What is o in a(o) = 0?
3, 28
Let m(k) be the first derivative of -5*k**3/3 + 95*k**2 + 400*k + 40. Factor m(c).
-5*(c - 40)*(c + 2)
Suppose -6*c + 200 = -2*c. Suppose 0 = c*j - 55*j + 80. Let 4 - 3*y**3 - 12*y + 52*y**2 - 9*y + j*y**4 - 3*y - 45*y**3 = 0. What is y?
1/2, 1
Let r(h) be the third derivative of -h**5/135 - 23*h**4/3 + 1664*h**3/27 + 3*h**2 - 17*h - 19. Factor r(k).
-4*(k - 2)*(k + 416)/9
Factor 178084*o**3 - 144 - 61474*o**2 + 52503*o**2 - 125057*o**2 + 10272*o - 54184*o**2.
4*(o - 1)*(211*o - 6)**2
Let v(z) be the second derivative of -1/6*z**4 + 1 + 2/3*z**3 + 102*z - z**2. Factor v(x).
-2*(x - 1)**2
Determine n so that 151*n + 10*n**3 - 11 - 35 - 2*n**4 - 2 - 161*n + 50*n**2 = 0.
-3, -1, 1, 8
Let m(h) = -9*h**2 + 20*h - 14. Let a(z) = -4*z**2 + 10*z - 6. Let d(g) = g**3 + 5*g**2 - 3*g - 12. Let t be d(-5). Let s(i) = t*m(i) - 7*a(i). Factor s(n).
n*(n - 10)
Let c be ((-2)/(-8))/(7/32). Let a be (3 - 165/(-25))/(3507/1670). Suppose a*p + 128/21 + 2/21*p**3 + c*p**2 = 0. Calculate p.
-4
Let f = 5209334/48837 + -18/16279. Solve f*t + 4/3*t**3 - 76/3*t**2 + 400/3 = 0.
-1, 10
Let v(a) be the third derivative of -9/40*a**5 - 243*a**3 - a**2 + 81/8*a**4 + 0*a + 1/480*a**6 - 1. Factor v(t).
(t - 18)**3/4
Let c(y) = 9*y**3 - y**2 - y - 1. Let x(k) = 64*k**3 + 2*k**2 - 179*k - 187. Let r(s) = 7*c(s) - x(s). What is n in r(n) = 0?
-18, -1, 10
Suppose -6*t - 16 = -p - 10*t, 8 = -4*p + 2*t. Let w = 10/453 - -7964/8607. Let p + w*h**4 - 58/19*h**3 + 48/19*h**2 - 8/19*h = 0. Calculate h.
0, 2/9, 1, 2
Let r = -126 + 128. Determine d so that -11 + 9*d - 4 - 14*d - 3*d**r - 13*d = 0.
-5, -1
Factor 8*c**2 - 3*c**2 - 1133*c + c**3 + 1139*c + 2*c**2 + 0*c**3.
c*(c + 1)*(c + 6)
Suppose 50*z = 64*z - 42. Factor 9/2*k - 1/2*k**z - 4*k**2 + 0.
-k*(k - 1)*(k + 9)/2
Factor 32/7*h + 0 - 4/7*h**3 + 8/7*h**2.
-4*h*(h - 4)*(h + 2)/7
Suppose -476*x - 710 = -618*x. Let m = 11 + -7. Factor -5/3*i**m + 10/3*i**3 - 10/3*i**2 + 1/3*i**x + 5/3*i - 1/3.
(i - 1)**5/3
Let m(s) be the third derivative of -s**5/12 + 1163*s**4/96 - 29*s**3/4 - 40*s**2 + 38. Determine h, given that m(h) = 0.
3/20, 58
Let l(h) be the second derivative of h**4/4 + 165*h**3/2 + 1200*h**2 + 3031*h. Factor l(z).
3*(z + 5)*(z + 160)
Solve -568/3*y + 70 - 2*y**4 + 227/2*y**2 + 125/6*y**3 = 0.
-5, 2/3, 3/4, 14
Let l(d) = 38*d**4 + 82*d**3 + 586*d**2 + 882*d - 1550. Let g(r) = 94*r**4 + 165*r**3 + 1171*r**2 + 1765*r - 3100. Let u(p) = -2*g(p) + 5*l(p). Factor u(w).
2*(w - 1)*(w + 5)**2*(w + 31)
Let a be (-10)/(-12)*6052/(-850) + 6. Let i(k) be the third derivative of a*k**4 + 0 + 1/75*k**5 + 0*k + 8/45*k**3 + 1/900*k**6 - k**2. Factor i(g).
2*(g + 2)**3/15
Let x be 14 + 1422/(-99) - (-1 + (-254)/154). Factor -x + 2/7*g**2 - 2*g.
2*(g - 8)*(g + 1)/7
Suppose 17*p = 32 + 36. Suppose -8 = -5*l + l - p*a, 5*a + 6 = 3*l. Factor 4/5*i + 2/5*i**l + 0.
2*i*(i + 2)/5
Let i(w) = -3*w**2 - 2. Let t(f) = -2*f**2 - 41*f + 6. Let a(d) = 2*i(d) - t(d). Let p be a(10). Factor -s**3 + 0 - 1/2*s**2 + p*s.
-s**2*(2*s + 1)/2
Let o = 14257/24 - 594. Let k(b) be the first derivative of 1/8*b**2 + 11 - 1/8*b - o*b**3. Factor k(n).
-(n - 1)**2/8
Factor -38*c**2 + 1730 + 12*c**2 + 10*c**2 - 1725*c + 11*c**2.
-5*(c - 1)*(c + 346)
Let q be 118/(-236)*(7 + 0 + -7). Factor -6/5*y + 4/5*y**2 + q + 2/5*y**3.
2*y*(y - 1)*(y + 3)/5
Suppose 2*i = 6*i - 12. Let h be 0 + 1 - ((-77)/11 + 5). Factor -4*v**2 - v - 4*v**h - i*v + 4*v.
-4*v**2*(v + 1)
Suppose 322*t - 323*t = -5. Suppose -9*b**2 + 21*b - 6*b**2 + 3*b**2 - 8*b**3 + t*b**3 + 30 = 0. Calculate b.
-5, -1, 2
Let j(y) = 16*y - 60 - 6*y + 4 + 3*y - 20. Let a be j(6). Determine v, given that -3*v**a + 0 + 12/7*v**3 + 12/7*v**4 + 6/7*v = 0.
-2, 0, 1/2
Let l(q) = -5*q**4 - 164*q**3 - 634*q**2 - 787*q - 309. Let p(y) = 6*y**4 + 164*y**3 + 634*y**2 + 788*y + 308. Let u(r) = -4*l(r) - 3*p(r). Factor u(i).
2*(i + 1)**2*(i + 2)*(i + 78)
Let s = 27828 + -27828. Let d(q) be the second derivative of -1/21*q**7 - 1/10*q**5 + 0*q**3 - 42*q + 0 + s*q**4 - 2/15*q**6 + 0*q**2. Factor d(i).
-2*i**3*(i + 1)**2
Factor 6*f**2 - 13*f**2 + 51*f**3 - 72*f + f**2 + 4*f**2 + 21*f**3 + 2*f**4.
2*f*(f - 1)*(f + 1)*(f + 36)
Let y(v) be the first derivative of 5*v**3/18 + 35*v**2/12 - 20*v/3 + 6409. Let y(z) = 0. What is z?
-8, 1
Let i(f) = f**5 - f**2. Let m(r) = -9*r**5 + 7*r**3 + 6*r**2 - 12*r + 8. Let a(l) = 8*i(l) + m(l). Determine u, given that a(u) = 0.
-2, 1, 2
Let r = -46 + 48. Determine h, given that h**2 + 75*h**3 - 84*h**3 + 6*h**4 - r*h**4 + h**2 = 0.
0, 1/4, 2
Suppose -16*h + 15*h = -5. Solve -268*d + 258*d - 5*d**2 + h + 10 = 0 for d.
-3, 1
Factor 416 + 386 - 2681*b + 6*b**2 + 2137*b + 88.
2*(b - 89)*(3*b - 5)
Let n(x) be the first derivative of 2*x**6/3 + 104*x**5/5 - 507*x**4 - 5253. Factor n(i).
4*i**3*(i